SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 267, 649, 1590, 723, 3230, 320, 10983, 815, 476, 273, 2330, 543, 4061, 3230, 320, 3709, 328, 268, 272, 6525, 1590, 581, 1507, 267, 2094, 972, 568, 1100, 4163, 883, 2990, 3230, 328, 21974, 1809, 2094, 3230, 320, 3709, 328, 268, 272, 6525, 568, 849, 835, 540, 6695, 346, 276, 267, 272, 267, 273, 315, 6525, 267, 543, 621, 3112, 849, 581, 3230, 272, 18079, 621, 1590, 581, 3230, 273, 21974, 901, 2982, 602, 519, 3230, 272, 18079, 8259, 621, 5526, 538, 519, 1318, 2865, 2990, 267, 1590, 581, 547, 519, 2451, 540, 519, 3230, 273, 2330, 282, 621, 3112, 581, 547, 519, 2451, 540, 519, 3230, 276, 21974, 6684, 267, 952, 3230, 320, 10983, 815, 476, 273, 2330, 1287, 3230, 321, 10983, 815, 476, 276, 18079, 1317, 3230, 275, 2330, 568, 7543, 267, 865, 519, 3230, 273, 2330, 1590, 581, 547, 519, 2451, 540, 513, 1804, 7857, 267, 799, 1590, 581, 519, 3230, 276, 21974, 5381, 7744, 7472, 1100, 23061, 593, 519, 2990, 540, 519, 3230, 276, 2330, 282, 621, 1223, 581, 547, 519, 2451, 540, 513, 1507, 7857, 630, 514, 799, 2013, 621, 29156, 547, 3230, 272, 2330, 264, 610, 513, 1804, 7857, 630, 514, 799, 2013, 621, 29156, 547, 3230, 273, 2330, 1040, 1284, 666, 17412, 891, 4681, 607, 5205, 1384, 11377, 8218, 15204, 2410, 743, 348, 1422, 3667, 18097, 13424, 348, 1299, 1422, 3667, 346, 1729, 519, 2451, 540, 348, 8607, 1422, 327, 1467, 476, 272, 1299, 476, 272, 267, 476, 273, 267, 1422, 3667, 346, 754, 348, 8607, 476, 273, 1299, 476, 276, 8607, 476, 276, 1299, 476, 272, 267, 273, 267, 276, 12101, 3667, 346, 754, 348, 1422, 754, 15204, 15732, 2080, 968, 754, 892, 1797, 602, 519, 8612, 7857, 1223, 581, 519, 1318, 2865, 780, 13010, 267, 519, 2451, 7857, 540, 3230, 288, 2330, 1590, 581, 1507, 630, 528, 3116, 972, 1131, 581, 513, 4163, 538, 519, 2451, 2865, 1747, 543, 3230, 273, 288, 2330, 1131, 723, 476, 275, 9704, 3079, 540, 476, 274, 264, 865, 621, 1590, 581, 2901, 3230, 272, 2330, 610, 3230, 273, 21974, 898, 568, 711, 2182, 547, 1294, 689, 713, 3349, 602, 519, 9704, 1590, 581, 538, 519, 1931, 3230, 10219, 2330, 610, 3230, 25172, 18079, 543, 8197, 267, 1312, 540, 1346, 2338, 723, 519, 2838, 3959, 281, 3230, 10219, 318, 280, 24206, 476, 273, 815, 476, 25172, 318, 280, 18079, 543, 3230, 25172, 318, 280, 24206, 476, 273, 815, 476, 24423, 318, 280, 29634, 1607, 729, 513, 2241, 1383, 267, 855, 538, 811, 7294, 2665, 621, 568, 5363, 547, 2721, 519, 1931, 10148, 607, 513, 3113, 269, 14597, 649, 2721, 513, 3113, 609, 835, 14584, 585, 1142, 7857, 267, 543, 835, 3606, 14584, 547, 2099, 519, 1439, 540, 519, 1003, 1968, 269, 634, 3113, 814, 606, 6316, 689, 14584, 3230, 341, 2330, 547, 3230, 341, 685, 2330, 8164, 3230, 341, 2330, 666, 2408, 547, 519, 2451, 540, 3230, 341, 685, 21974, 3973, 519, 3113, 6537, 585, 519, 3349, 1657, 5654, 899, 713, 1384, 288, 476, 274, 18251, 1003, 1968, 609, 3959, 3230, 303, 318, 280, 2330, 14687, 547, 513, 2619, 538, 713, 3113, 602, 6238, 693, 835, 540, 519, 1875, 14706, 1507, 9704, 630, 5658, 539, 538, 4544, 1070, 7475, 693, 519, 2699, 6843, 6825, 2048, 754, 8730, 543, 11564, 1142, 6843, 4010, 2899, 269, 6270, 513, 2619, 568, 1572, 554, 15071, 1014, 269, 30052, 267, 1582, 2000, 334, 3591, 2760, 2049, 538, 513, 554, 15071, 1014, 2619, 267, 865, 649, 786, 522, 2466, 873, 689, 2104, 12222, 780, 3086, 649, 786, 2015, 519, 7857, 1305, 3230, 277, 4391, 18079, 1586, 3490, 476, 280, 269, 1323, 2079, 2147, 547, 519, 2062, 4707, 2636, 721, 547, 4020, 519, 1739, 3113, 1384, 2080, 621, 568, 5612, 2312, 602, 519, 1152, 554, 15071, 1014, 2619, 568, 3230, 274, 268, 278, 268, 277, 10559, 3667, 346, 754, 6525, 267, 543, 8197, 267, 3230, 4391, 277, 318, 280, 24206, 476, 273, 815, 476, 278, 8287, 318, 280, 29634, 1103, 2489, 972, 1522, 581, 2789, 8320, 540, 513, 7857, 267, 543, 865, 2789, 9136, 13042, 609, 602, 7857, 269, 5811, 540, 519, 3230, 271, 267, 271, 267, 271, 2330, 2013, 7472, 513, 3113, 609, 1100, 3656, 1376, 9136, 543, 865, 1100, 3435, 267, 8259, 3056, 4642, 525, 616, 4847, 267, 538, 799, 2013, 3230, 1822, 2330, 568, 513, 9985, 4570, 3070, 269, 5811, 540, 519, 3230, 279, 267, 279, 267, 279, 2330, 2013, 7472, 513, 3113, 609, 1100, 2619, 547, 519, 1439, 6843, 543, 865, 1100, 3435, 269, 1452, 1079, 24735, 3270, 2408, 585, 782, 3230, 305, 2330, 543, 782, 3230, 333, 18079, 543, 649, 786, 11716, 873, 689, 1631, 593, 780, 14303, 9506, 547, 938, 5571, 1383, 267, 3230, 10441, 273, 2330, 538, 3490, 476, 279, 267, 649, 1294, 602, 3230, 272, 2330, 543, 3230, 273, 2330, 1590, 5595, 547, 3230, 273, 2330, 543, 3230, 275, 18079, 865, 1590, 581, 547, 519, 2451, 540, 1507, 9704, 267, 855, 3230, 275, 2330, 543, 3230, 271, 2330, 666, 5595, 547, 2901, 3230, 271, 2330, 610, 3230, 272, 2330, 543, 865, 1223, 581, 547, 519, 2451, 540, 4376, 269, 3371, 519, 10148, 616, 865, 561, 1314, 602, 519, 3113, 3085, 1406, 948, 721, 7522, 873, 1524, 1454, 1384, 25332, 6326, 602, 519, 1152, 15561, 883, 519, 476, 275, 568, 689, 476, 271, 267, 865, 602, 519, 476, 275, 1590, 1246, 519, 476, 271, 267, 543, 602, 519, 3003, 1297, 1590, 2253, 609, 476, 272, 610, 476, 273, 267, 649, 666, 26246, 519, 3435, 1384, 8587, 476, 10441, 273, 454, 6344, 275, 454, 14225, 272, 454, 13975, 275, 692, 2252, 3056, 4642, 525, 616, 4847, 649, 723, 849, 912, 8587, 476, 271, 6078, 273, 454, 271, 5655, 272, 692, 5472, 540, 891, 616, 3435, 538, 3490, 476, 279, 780, 258, 634, 2013, 540, 3230, 305, 284, 1015, 9681, 3086, 649, 2490, 547, 938, 1292, 1966, 267, 3435, 538, 3490, 476, 1015, 780, 2414, 1265, 782, 519, 3435, 540, 3259, 476, 277, 3340, 606, 21773, 3130, 540, 4130, 3435, 267, 799, 267, 952, 789, 11478, 267, 1522, 581, 6677, 22760, 730, 883, 513, 3070, 540, 3259, 476, 277, 269, 901, 568, 1317, 938, 2079, 540, 519, 7857, 5036, 602, 666, 2408, 538, 513, 3070, 17648, 602, 519, 9704, 616, 7989, 3176, 7814, 1227, 282, 602, 568, 267, 519, 32545, 3230, 303, 2330, 602, 649, 2808, 1185, 1152, 835, 4783, 1142, 269, 1403, 649, 1685, 519, 2555, 692, 2467, 616, 1100, 4130, 3435, 267, 855, 547, 6961, 602, 519, 3259, 476, 277, 3435, 616, 8766, 267, 649, 1590, 5659, 519, 2665, 585, 4130, 3230, 333, 2330, 543, 4341, 873, 856, 269, 1284, 1631, 3132, 513, 2347, 2079, 540, 519, 3490, 476, 1015, 2013, 609, 3230, 305, 284, 1015, 2330, 543, 3230, 333, 315, 548, 476, 277, 21974, 1280, 3230, 333, 284, 272, 2330, 972, 568, 1152, 519, 24735, 3070, 540, 3230, 271, 18079, 799, 649, 23304, 731, 269, 630, 763, 2243, 4280, 585, 513, 2318, 1297, 19037, 24355, 1012, 3230, 333, 284, 273, 9681, 2690, 3230, 333, 284, 273, 18079, 649, 1616, 547, 1265, 3435, 540, 3230, 274, 320, 10983, 1341, 642, 1422, 25406, 476, 271, 315, 335, 7116, 346, 1015, 6525, 1141, 3230, 341, 2330, 568, 513, 1079, 19229, 25231, 2280, 1297, 267, 835, 540, 3230, 876, 318, 273, 267, 476, 4905, 318, 273, 267, 2330, 610, 3230, 1556, 318, 273, 21974, 570, 5429, 908, 519, 2418, 540, 3230, 320, 10983, 2330, 543, 3230, 341, 22174, 28381, 271, 267, 272, 267, 274, 315, 6525, 602, 4194, 713, 3830, 649, 1205, 1384, 11377, 8218, 15204, 2410, 764, 322, 348, 642, 261, 513, 10983, 8607, 1422, 327, 1467, 476, 271, 1299, 476, 271, 8607, 476, 272, 261, 476, 274, 8607, 476, 274, 261, 476, 280, 8607, 1422, 754, 15204, 15732, 2171, 666, 23304, 731, 519, 3230, 341, 284, 271, 2330, 543, 3230, 341, 284, 274, 2330, 3435, 1317, 519, 5449, 11729, 519, 24735, 3070, 3230, 876, 2330, 543, 519, 8545, 11729, 519, 20060, 1828, 3230, 4200, 21974, 1924, 519, 1152, 7872, 649, 991, 547, 8495, 2417, 568, 3230, 320, 10983, 815, 476, 274, 267, 642, 815, 476, 272, 18079, 799, 14687, 547, 519, 7857, 5311, 3230, 3607, 2330, 281, 8935, 17331, 3230, 274, 2330, 3947, 721, 3230, 277, 2330, 543, 30945, 3230, 277, 18079, 7132, 513, 4163, 267, 3947, 721, 3230, 274, 2330, 1586, 780, 3719, 950, 649, 9184, 3634, 540, 799, 9704, 1590, 581, 2451, 540, 799, 267, 649, 1294, 602, 972, 568, 1100, 3070, 609, 1175, 3230, 274, 2330, 543, 3230, 277, 18079, 1317, 519, 3113, 649, 1205, 267, 2899, 1582, 2000, 334, 3591, 616, 17515, 267, 5654, 899, 713, 1384, 6518, 15069, 814, 1100, 554, 15071, 1014, 2619, 269, 4935, 972, 568, 1100, 3070, 585, 3230, 305, 284, 1015, 267, 562, 284, 273, 29634, 1012, 3230, 333, 284, 274, 9681, 2690, 3230, 333, 284, 274, 2330, 649, 991, 547, 4194, 519, 3830, 3230, 278, 320, 10983, 1341, 642, 1422, 25406, 476, 271, 315, 335, 7116, 346, 1015, 6525, 1141, 3230, 341, 2330, 568, 513, 25231, 2280, 1297, 538, 6695, 346, 271, 12101, 24126, 476, 278, 315, 6525, 267, 4481, 835, 540, 3230, 271, 267, 272, 267, 274, 267, 2330, 610, 3230, 278, 21974, 4595, 3230, 278, 2330, 543, 3230, 1015, 2330, 616, 5266, 6305, 267, 585, 1142, 3230, 341, 2330, 972, 568, 513, 2582, 3230, 320, 10983, 2330, 602, 31758, 519, 3830, 269, 570, 5429, 908, 519, 2009, 2418, 540, 3230, 320, 10983, 2330, 607, 1354, 267, 543, 713, 942, 522, 2466, 1154, 9343, 609, 1100, 3070, 267, 649, 723, 1384, 11377, 8218, 15204, 2410, 31014, 331, 348, 642, 1299, 513, 10983, 1299, 1422, 3667, 18097, 580, 1080, 27874, 1422, 327, 1467, 476, 271, 261, 476, 271, 1299, 476, 1822, 11138, 476, 272, 261, 476, 278, 1299, 476, 278, 4366, 8607, 476, 274, 261, 476, 272, 1299, 476, 10219, 11138, 476, 278, 261, 280, 1299, 476, 15886, 11138, 1422, 754, 15204, 15732, 763, 7857, 9696, 3230, 271, 267, 271, 267, 271, 2330, 543, 3230, 280, 267, 280, 267, 280, 2330, 6556, 24735, 3435, 610, 20060, 30055, 607, 8912, 267, 543, 649, 786, 522, 2466, 873, 538, 519, 2104, 269, 634, 824, 1079, 3515, 2303, 519, 7857, 5036, 3230, 272, 267, 273, 267, 276, 2330, 543, 3230, 275, 267, 278, 267, 279, 18079, 1312, 540, 799, 14543, 519, 968, 15957, 11224, 1804, 892, 4341, 780, 1607, 2079, 3652, 856, 519, 7872, 540, 513, 7857, 1305, 609, 3230, 320, 318, 271, 1422, 1729, 513, 318, 272, 1422, 1729, 513, 318, 273, 1422, 1729, 513, 318, 272, 18079, 855, 621, 1281, 711, 4625, 4341, 856, 513, 476, 274, 18251, 3070, 267, 2094, 835, 1223, 581, 5833, 676, 6677, 22760, 908, 513, 835, 18251, 543, 513, 1079, 18251, 3070, 267, 610, 1614, 835, 18251, 3435, 269, 1717, 267, 649, 917, 676, 1631, 602, 1100, 835, 268, 610, 1079, 18251, 3435, 2291, 269, 4475, 972, 616, 1100, 476, 274, 18251, 3435, 538, 3490, 476, 1015, 780, 1012, 3230, 333, 284, 275, 9681, 2690, 3230, 333, 284, 275, 2330, 519, 12044, 3830, 568, 3230, 1428, 320, 10983, 1341, 642, 1422, 25406, 476, 271, 315, 335, 7116, 346, 1015, 6525, 1141, 3230, 341, 2330, 568, 513, 476, 275, 19229, 25231, 2280, 1297, 267, 835, 540, 6695, 346, 271, 267, 272, 267, 274, 267, 276, 267, 278, 267, 1428, 315, 6525, 269, 901, 568, 513, 2370, 811, 7294, 1317, 6695, 326, 7251, 263, 1428, 267, 1015, 9385, 928, 476, 272, 21974, 570, 5429, 908, 519, 2009, 7857, 5036, 267, 649, 1205, 1384, 11377, 8218, 15204, 2410, 13062, 337, 331, 348, 513, 10983, 1299, 476, 1428, 320, 10983, 261, 642, 1299, 1422, 3667, 18097, 580, 1080, 27874, 1422, 327, 1467, 476, 271, 1299, 476, 271, 1299, 476, 271, 1299, 476, 1822, 271, 11138, 476, 272, 1299, 476, 276, 1299, 476, 276, 1299, 476, 10219, 271, 11138, 476, 272, 1299, 476, 276, 1299, 476, 1428, 1299, 476, 15389, 276, 11138, 476, 273, 1299, 476, 271, 1299, 476, 271, 1299, 476, 27886, 277, 11138, 476, 274, 1299, 476, 276, 1299, 476, 276, 1299, 476, 4391, 275, 280, 11138, 476, 274, 1299, 476, 276, 1299, 476, 1428, 1299, 476, 23841, 272, 11138, 476, 275, 1299, 476, 271, 1299, 476, 271, 1299, 476, 4366, 277, 273, 11138, 476, 276, 1299, 476, 276, 1299, 476, 276, 1299, 476, 26341, 273, 11138, 476, 276, 1299, 476, 276, 1299, 476, 276, 1299, 476, 276, 1724, 278, 11138, 476, 277, 1299 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 547, 8495, 267, 1174, 267, 2491, 267, 4766, 267, 543, 11015, 936, 519, 2470, 540, 943, 984, 5362, 4534, 1010, 1378, 267, 543, 602, 540, 824, 24412, 269, 19395, 1744, 11921, 568, 513, 21917, 267, 32058, 626, 267, 543, 4116, 267, 543, 568, 513, 4759, 540, 513, 22064, 1920, 281, 1010, 7015, 267, 28615, 1744, 11921, 267, 568, 513, 31075, 543, 17076, 282, 1010, 4651, 729, 5261, 1744, 11921, 267, 585, 1082, 1296, 9375, 540, 519, 1715, 3840, 518, 18225, 269, 1306, 513, 22459, 543, 4081, 267, 19395, 1744, 11921, 568, 834, 338, 22066, 1701, 1656, 2943, 267, 1010, 1272, 568, 16094, 3908, 676, 989, 528, 7469, 14113, 267, 834, 320, 19231, 540, 2238, 4547, 827, 676, 513, 4250, 540, 2348, 11784, 2589, 538, 3871, 538, 799, 835, 568, 2484, 689, 948, 610, 9101, 568, 9228, 547, 581, 2352, 257, 630, 1724, 1040, 634, 2278, 954, 933, 2314, 6810, 602, 17412, 1010, 3573, 13220, 593, 519, 4339, 1922, 2775, 5114, 267, 4720, 267, 2634, 543, 2247, 267, 22506, 781, 6436, 593, 943, 14113, 734, 5976, 1010, 2123, 1686, 267, 2523, 607, 646, 11099, 621, 12211, 547, 1010, 943, 14113, 563, 1103, 713, 835, 957, 1404, 267, 607, 513, 1267, 540, 513, 1007, 6646, 267, 513, 1647, 27070, 4807, 3957, 1546, 4011, 1695, 530, 1389, 909, 1310, 7836, 5176, 476, 1789, 1296, 538, 513, 834, 19265, 1701, 2859, 10502, 267, 1352, 729, 538, 513, 5326, 6438, 1533, 540, 23387, 1145, 610, 12012, 4656, 602, 24125, 2421, 267, 1200, 4387, 267, 4016, 547, 607, 834, 320, 2186, 540, 14522, 1701, 263, 335, 269, 476, 4097, 264, 1546, 4011, 1695, 14659, 602, 1352, 814, 1152, 1044, 834, 553, 2748, 257, 585, 513, 2110, 1247, 267, 865, 1352, 12134, 827, 1200, 3237, 543, 11078, 267, 607, 952, 1352, 941, 1869, 519, 15730, 1352, 1121, 20047, 269, 24125, 2421, 1028, 999, 1200, 602, 1200, 2247, 814, 1044, 17735, 782, 602, 942, 267, 4352, 646, 814, 1044, 693, 1200, 2427, 267, 8165, 547, 1832, 1200, 9800, 281, 834, 5278, 4941, 547, 30565, 596, 269, 594, 17246, 1228, 621, 1701, 630, 335, 269, 476, 4097, 994, 4462, 322, 1643, 1018, 547, 2161, 267, 6754, 710, 267, 1546, 4011, 1695, 781, 7820, 11078, 267, 1631, 13788, 519, 6413, 4055, 269, 24651, 6754, 710, 781, 3377, 540, 519, 1920, 267, 1546, 4011, 1695, 13290, 547, 10146, 1018, 814, 5949, 267, 855, 621, 4667, 1175, 1932, 29737, 269, 3973, 24125, 2421, 8761, 602, 6754, 710, 814, 1044, 1010, 7385, 585, 811, 982, 476, 736, 1296, 269, 1546, 4011, 1695, 2833, 519, 6821, 540, 1200, 9637, 14656, 538, 267, 834, 4131, 803, 856, 269, 17547, 621, 269, 2913, 803, 856, 269, 17547, 621, 269, 17547, 621, 1701, 630, 335, 269, 476, 4343, 264, 22582, 267, 1352, 7024, 547, 519, 6643, 543, 26564, 3388, 1352, 814, 4862, 269, 834, 296, 1589, 594, 723, 519, 2339, 538, 8167, 2437, 1352, 20147, 563, 1103, 519, 2140, 6648, 267, 13343, 3240, 16114, 328, 6210, 645, 20403, 3081, 281, 834, 2414, 2328, 519, 1650, 540, 1250, 9997, 1315, 594, 10250, 519, 16563, 543, 6149, 1315, 540, 4563, 12379, 320, 1701, 901, 4015, 540, 9954, 11438, 519, 5467, 883, 519, 10239, 543, 23898, 540, 7187, 1715, 6792, 267, 543, 547, 519, 5628, 334, 1141, 519, 10564, 543, 1010, 1920, 2661, 269, 1358, 616, 9954, 2407, 540, 10071, 543, 1995, 267, 540, 519, 834, 13512, 4868, 32732, 8929, 30516, 26005, 257, 602, 2611, 538, 834, 3240, 25427, 338, 267, 17987, 267, 543, 9240, 514, 257, 689, 606, 10071, 609, 21634, 6559, 538, 476, 2735, 279, 9497, 5804, 20222, 547, 13458, 19823, 543, 519, 26718, 540, 513, 13265, 547, 519, 31024, 540, 3552, 27120, 9497, 12385, 24521, 547, 8080, 11354, 19823, 543, 519, 13249, 1650, 540, 834, 14976, 590, 777, 334, 2437, 519, 29838, 3751, 563, 289, 20403, 779, 3197, 2661, 2673, 547, 519, 2244, 267, 2673, 547, 519, 10239, 267, 543, 3006, 3544, 519, 1876, 9497, 307, 5557, 12359, 3266, 20257, 1452, 9954, 7198, 547, 519, 5208, 543, 21817, 540, 5628, 334, 1272, 267, 855, 849, 547, 922, 1648, 543, 7772, 269, 645, 20403, 779, 4126, 5170, 834, 1729, 11457, 609, 519, 7122, 1315, 2427, 676, 2427, 609, 922, 3860, 31685, 4799, 309, 1068, 4379, 639, 543, 25048, 7431, 568, 513, 1650, 540, 6822, 25934, 543, 26760, 689, 29191, 573, 781, 5450, 18982, 4680, 267, 513, 2442, 2707, 540, 11052, 585, 476, 1704, 628, 2540, 10656, 26719, 269, 20539, 4379, 639, 267, 519, 4936, 5601, 540, 12405, 543, 1689, 267, 10924, 2789, 1368, 2478, 607, 646, 13986, 547, 530, 5622, 519, 973, 531, 31842, 7949, 3574, 562, 8233, 25048, 7431, 269, 717, 13960, 1068, 4469, 514, 1188, 814, 13556, 519, 4090, 538, 519, 10470, 1222, 950, 20539, 4379, 639, 267, 24320, 2213, 607, 606, 2025, 4807, 267, 568, 6340, 593, 1010, 1378, 15773, 547, 513, 581, 332, 4310, 25048, 7431, 269, 634, 1079, 5515, 616, 13497, 20399, 547, 519, 4395, 540, 519, 4605, 7077, 538, 513, 17401, 3989, 2230, 543, 616, 1305, 1996, 513, 4158, 4282, 540, 3529, 959, 16218, 543, 6534, 5072, 563, 4407, 519, 4259, 568, 15982, 543, 519, 5515, 616, 865, 2673, 602, 741, 19704, 3592, 5905, 267, 519, 3845, 1063, 873, 568, 29267, 626, 752, 762, 269, 25048, 7431, 267, 27206, 593, 519, 1318, 267, 568, 17814, 607, 513, 678, 28854, 1950, 16845, 1762, 4807, 267, 12461, 14688, 268, 604, 8049, 569, 585, 519, 4259, 1673, 5962, 538, 3043, 2893, 514, 267, 609, 513, 3638, 569, 25918, 1229, 13938, 823, 269, 2701, 682, 753, 547, 1200, 2451, 267, 1200, 2638, 20399, 8185, 883, 1200, 1688, 267, 1200, 22401, 9859, 1055, 883, 519, 3845, 269, 6787, 1352, 568, 6947, 32348, 547, 1200, 13959, 610, 5326, 1176, 4503, 538, 1200, 1378, 4555, 568, 7543, 547, 20559, 563, 4002, 519, 2451, 267, 20539, 4379, 639, 568, 17814, 538, 4571, 3766, 652, 675, 267, 834, 615, 257, 1318, 1688, 3001, 4724, 25048, 7431, 282, 1200, 2451, 267, 7432, 1394, 547, 9887, 269, 769, 4334, 609, 25048, 7431, 781, 32249, 1950, 542, 267, 20539, 4379, 639, 262, 21432, 2960, 543, 2934, 7703, 519, 2963, 540, 2085, 269, 1548, 3884, 1405, 5612, 1978, 267, 2705, 267, 568, 20539, 4379, 639, 262, 4008, 269, 2755, 519, 15309, 23469, 7802, 543, 2881, 3316, 6438, 2212, 323, 816, 2303, 513, 4807, 781, 23157, 267, 972, 568, 513, 812, 569, 2298, 538, 1312, 519, 3068, 543, 3946, 269, 4469, 514, 1188, 267, 16706, 1010, 2528, 781, 10508, 538, 4638, 7961, 340, 754, 334, 267, 31758, 519, 678, 1497, 585, 519, 6297, 20626, 945, 711, 1182, 519, 6972, 6529, 602, 682, 753, 1996, 519, 3330, 540, 20539, 4379, 639, 262, 25427, 563, 10048, 21731, 630, 290, 1815, 23158, 681, 1054, 264, 513, 12016, 945, 1568, 538, 513, 24328, 1770, 267, 22168, 519, 23139, 2669, 540, 1200, 11509, 5067, 267, 661, 4614, 3316, 267, 607, 646, 669, 1162, 513, 1286, 12946, 519, 4583, 957, 816, 267, 670, 6373, 10162, 10937, 630, 11321, 13453, 623, 1563, 525, 1070, 689, 7247, 646, 6499, 606, 1313, 1748, 269, 661, 4614, 3316, 1185, 1279, 539, 547, 917, 827, 1010, 15534, 2465, 4651, 267, 855, 1010, 3993, 1185, 2141, 15189, 547, 2995, 1864, 269, 3571, 2295, 568, 1098, 680, 5896, 267, 543, 2494, 21731, 568, 695, 13593, 676, 16236, 267, 3762, 1200, 960, 267, 543, 5036, 856, 547, 9156, 1200, 2250, 563, 25332, 612, 539, 609, 1200, 5067, 779, 18930, 687, 267, 2494, 21731, 18162, 519, 4583, 957, 816, 267, 670, 6373, 267, 945, 3947, 1200, 513, 2816, 269, 2701, 9060, 2025, 2828, 538, 519, 896, 16447, 267, 543, 513, 4190, 562, 684, 267, 28266, 630, 303, 523, 2946, 331, 2100, 30434, 1070, 945, 1568, 609, 519, 4057, 543, 4566, 547, 979, 13383, 269, 17652, 621, 19674, 602, 661, 4614, 3316, 779, 4651, 568, 834, 301, 2088, 2437, 513, 1098, 4034, 924, 14382, 3482, 267, 543, 602, 28266, 568, 711, 1152, 9176, 676, 1864, 17017, 267, 1352, 814, 849, 26438, 15978, 563, 305, 6242, 779, 28191, 699, 3993, 729, 29043, 827, 1200, 3375, 547, 1831, 513, 3909, 267, 855, 1352, 568, 1256, 811, 27337, 1881, 676, 1200, 8250, 779, 6379, 543, 4576, 269, 21231, 26997, 267, 2494, 21731, 11923, 28266, 543, 1310, 1200, 2669, 267, 1352, 3792, 1206, 519, 10867, 5067, 945, 568, 540, 1576, 3957, 661, 4614, 3316, 563, 1103, 513, 2104, 2486, 538, 799, 6211, 12093, 568, 11658, 543, 1480, 1355, 11608, 9497, 300, 3663, 553, 8442, 616, 22991, 14475, 547, 7110, 519, 2804, 543, 1514, 2115, 540, 3425, 9497, 7775, 326, 553, 19823, 3220, 269, 20122, 2421, 630, 19365, 670, 4669, 264, 5932, 513, 18634, 1126, 2725, 15939, 267, 6424, 630, 295, 1446, 344, 11835, 601, 14642, 618, 1070, 945, 814, 834, 928, 584, 4689, 5955, 2437, 519, 2702, 547, 2648, 267, 543, 834, 534, 6418, 1158, 540, 14165, 267, 1582, 2173, 582, 17300, 7744, 2437, 9345, 267, 543, 9909, 269, 6424, 568, 2016, 547, 8361, 543, 3933, 3821, 267, 513, 7008, 4171, 6211, 1126, 9410, 568, 1651, 12350, 569, 2192, 543, 3956, 641, 637, 5703, 267, 32261, 513, 2104, 10826, 563, 5415, 4481, 267, 6424, 568, 2813, 856, 540, 20122, 2421, 781, 1378, 2530, 543, 2016, 547, 5351, 3933, 3821, 781, 31366, 585, 9410, 267, 7247, 1352, 814, 1044, 8572, 547, 834, 2280, 979, 257, 540, 607, 4666, 269, 898, 568, 3976, 3933, 3821, 630, 293, 27509, 744, 262, 3519, 24335, 264, 945, 1590, 1118, 519, 3375, 547, 1685, 519, 834, 574, 2745, 7014, 257, 602, 786, 1118, 6424, 2648, 1200, 269, 2991, 1352, 13515, 5706, 532, 519, 7287, 547, 2648, 513, 1126, 630, 1993, 1022, 2186, 264, 1586, 543, 28352, 519, 7014, 267, 9410, 568, 30122, 23174, 543, 2501, 1753, 563, 763, 1671, 5224, 24187, 15920, 6424, 267, 10483, 676, 513, 8773, 23413, 11276, 7703, 267, 856, 883, 513, 3781, 332, 732, 1158, 540, 2937, 2725, 577, 553, 267, 16922, 540, 1312, 22748, 613, 4975, 267, 1141, 8647, 2725, 577, 553, 899, 717, 580, 23383, 15608, 630, 297, 8775, 4521, 264, 798, 741, 3023, 11832, 6009, 543, 849, 519, 535, 1872, 1438, 7706, 1141, 796, 2958, 626, 1229, 267, 23987, 2725, 577, 553, 2119, 547, 1265, 519, 22302, 2694, 789, 991, 547, 25580, 2933, 543, 1714, 8775, 911, 13827, 945, 1491, 873, 547, 5114, 776, 834, 293, 956, 327, 674, 4202, 257, 1141, 789, 616, 15597, 10032, 607, 606, 4082, 540, 30270, 1996, 5841, 4066, 563, 297, 4141, 543, 6424, 267, 1312, 1305, 909, 543, 20729, 539, 676, 3425, 23279, 540, 741, 27166, 693, 7900, 1480, 3252, 267, 6443, 1927, 593, 513, 1391, 547, 1118, 6424, 834, 9418, 257, 543, 2132, 1864, 547, 3933, 3821, 269, 634, 1391, 3217, 873, 547, 513, 14356, 24760, 24607, 543, 15920, 6424, 543, 23413, 11276, 1079, 8536, 1296, 883, 519, 2104, 547, 8207, 519, 30484, 8084, 2239, 563, 1103, 713, 4670, 1759, 593, 513, 3020, 1650, 267, 10548, 11252, 590, 2086, 539, 549, 630, 297, 32667, 645, 31678, 1070, 513, 1762, 13278, 2006, 689, 519, 22070, 5032, 540, 8050, 267, 568, 13676, 538, 513, 11362, 8009, 602, 3762, 1864, 1612, 3315, 7458, 689, 519, 8405, 1524, 543, 4625, 8200, 585, 1010, 1416, 593, 1010, 4587, 7015, 543, 1010, 11078, 2987, 25237, 267, 945, 1118, 3875, 24279, 538, 1931, 547, 1416, 585, 1864, 269, 26062, 5498, 1597, 1296, 2663, 267, 538, 1010, 476, 2004, 781, 267, 10548, 11252, 568, 649, 776, 540, 1010, 1272, 267, 799, 646, 7959, 568, 1510, 15683, 267, 543, 646, 13290, 547, 1205, 3656, 10479, 547, 1439, 621, 563, 14367, 7015, 568, 740, 600, 14688, 10353, 547, 552, 30984, 267, 855, 10548, 11252, 568, 4313, 539, 543, 29211, 538, 1010, 1391, 676, 1079, 2021, 945, 616, 6537, 883, 1010, 5858, 269, 27813, 630, 289, 2946, 6352, 681, 4240, 320, 1070, 513, 15818, 7092, 689, 513, 28115, 894, 2068, 267, 5956, 547, 1374, 513, 3656, 2013, 585, 10548, 11252, 855, 4166, 8813, 538, 2648, 609, 1864, 630, 24392, 1352, 4667, 25747, 9310, 1070, 543, 646, 609, 1200, 269, 769, 513, 3226, 3001, 6429, 267, 10548, 11252, 2914, 14833, 540, 1576, 3112, 1847, 734, 339, 20635, 27813, 602, 1200, 9329, 568, 519, 4098, 540, 1010, 2144, 5328, 6720, 553, 625, 827, 1200, 563, 19878, 807, 2337, 1864, 12575, 543, 15476, 513, 1433, 540, 1010, 6965, 267, 855, 1287, 267, 2348, 8815, 547, 513, 4745, 11980, 267, 1352, 12357, 569, 19758, 856, 269, 28266, 630, 299, 7637, 9603, 10722, 553, 1070, 513, 1762, 2582, 3993, 945, 1568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21795, 607, 19073, 1477, 5814, 11885, 607, 5286, 5897, 3698, 1293, 5332, 1868, 1389, 29254, 267, 737, 8029, 825, 31575, 815, 17093, 3052, 4981, 2421, 3488, 16149, 12173, 262, 1040, 21653, 14061, 637, 564, 16229, 28442, 8782, 11133, 20298, 825, 31575, 815, 31575, 314, 339, 5404, 9131, 11133, 11172, 13843, 737, 15947, 825, 2132, 31575, 9131, 11133, 262, 4940, 12248, 3890, 0, 18411, 825, 20638, 454, 825, 4419, 525, 607, 513, 3804, 585, 519, 32652, 563, 825, 17644, 666, 581, 547, 2333, 513, 2123, 2493, 267, 2744, 513, 1808, 15896, 267, 6108, 942, 593, 606, 2534, 2676, 825, 2170, 609, 824, 339, 3397, 757, 543, 811, 563, 825, 20505, 666, 581, 4087, 1759, 267, 4567, 1759, 267, 610, 17271, 547, 519, 32652, 563, 18411, 5814, 5299, 454, 5814, 8665, 692, 5035, 20638, 912, 825, 1948, 7179, 2012, 540, 6662, 454, 825, 2012, 815, 834, 984, 11187, 2012, 4840, 825, 1948, 13574, 518, 32652, 602, 568, 3843, 547, 9585, 713, 20638, 454, 825, 8227, 318, 26047, 815, 7183, 454, 825, 1948, 27010, 32652, 952, 2877, 269, 608, 269, 16658, 12487, 570, 2752, 294, 4953, 318, 8980, 7728, 454, 825, 3077, 318, 26047, 815, 7183, 454, 825, 1948, 2549, 870, 540, 4674, 2838, 540, 32652, 547, 11654, 454, 825, 4674, 815, 476, 2004, 454, 825, 1948, 932, 1734, 540, 6707, 11264, 454, 825, 1967, 15220, 766, 815, 476, 1911, 454, 825, 1948, 19715, 540, 20638, 269, 7183, 1797, 1100, 4087, 2877, 454, 825, 4087, 318, 7528, 597, 906, 815, 7183, 454, 825, 1948, 5900, 1026, 2373, 2877, 454, 825, 14487, 318, 7528, 790, 906, 815, 7183, 454, 825, 1948, 27294, 2877, 454, 825, 6221, 318, 7528, 790, 906, 815, 11713, 825, 1948, 21073, 2877, 454, 825, 7592, 318, 7528, 790, 906, 815, 29129, 825, 1948, 21976, 540, 519, 27010, 32652, 454, 825, 3077, 9078, 6327, 318, 7528, 790, 906, 815, 7183, 454, 825, 3077, 318, 3430, 25572, 318, 7528, 790, 906, 815, 7183, 454, 825, 3077, 318, 14403, 318, 7528, 790, 906, 815, 11713, 825, 3077, 4671, 20137, 318, 7528, 790, 906, 815, 29129, 825, 1948, 14190, 338, 1967, 547, 581, 6508, 689, 8665, 28135, 454, 825, 1219, 12433, 306, 15471, 2419, 766, 4311, 2187, 1038, 1780, 22562, 825, 1948, 3629, 513, 7874, 5569, 454, 825, 1219, 5192, 11514, 2452, 11243, 4311, 2187, 1038, 2132, 834, 30606, 281, 4347, 5435, 5016, 825, 1948, 16849, 1018, 4170, 616, 2877, 547, 2347, 3804, 454, 825, 1219, 5192, 26473, 790, 906, 4311, 2187, 1038, 1780, 692, 825, 1948, 1548, 4523, 950, 519, 8665, 29349, 519, 6662, 454, 825, 1219, 13159, 29020, 4311, 2187, 1038, 1780, 692, 825, 1219, 5590, 1575, 29020, 4311, 2187, 1038, 1780, 7531, 5035, 2333, 318, 520, 25572, 263, 29020, 2187, 825, 1699, 318, 3430, 25572, 815, 476, 271, 692, 825, 1219, 6744, 2252, 4467, 921, 1540, 4311, 2187, 1038, 1780, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 3077, 2187, 1038, 1582, 6745, 13759, 318, 26047, 815, 3077, 454, 1038, 1582, 2529, 564, 1575, 29020, 10797, 7531, 5035, 13599, 15220, 843, 263, 27463, 848, 318, 520, 25572, 17107, 825, 1219, 5192, 11514, 2452, 11243, 4311, 2187, 1038, 2132, 834, 14807, 622, 4132, 281, 834, 1341, 1582, 6745, 13759, 318, 26047, 269, 7476, 17359, 11243, 10797, 825, 1219, 5590, 1575, 29020, 4311, 2187, 1038, 1582, 269, 9690, 318, 3430, 25572, 815, 5299, 19709, 788, 32476, 4311, 6745, 13759, 318, 26047, 269, 3430, 1026, 2373, 14277, 25531, 19312, 2020, 825, 1219, 6744, 2252, 4467, 921, 1540, 4311, 2187, 1038, 952, 630, 1345, 6745, 13759, 318, 26047, 269, 3430, 1026, 2373, 14277, 25531, 19312, 3436, 1582, 269, 9690, 318, 3430, 25572, 2187, 2018, 1820, 4311, 6745, 13759, 318, 26047, 269, 7476, 17359, 11243, 3890, 1341, 834, 262, 338, 4065, 16842, 10590, 12467, 2018, 1582, 269, 28415, 29020, 4590, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 454, 0, 454, 3698, 5491, 18045, 29254, 267, 1535, 2187, 1038, 5491, 18045, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 29254, 269, 11161, 314, 271, 8079, 2187, 3546, 5491, 18045, 6834, 17093, 269, 11161, 20572, 6012, 328, 2639, 3546, 1948, 1820, 29254, 31815, 8435, 5157, 316, 1341, 834, 834, 1341, 1193, 29254, 269, 11161, 20572, 6012, 328, 28413, 1038, 952, 5491, 18045, 2999, 476, 11277, 912, 3546, 2132, 8771, 454, 1038, 2132, 6936, 7531, 3698, 4295, 6831, 6847, 29254, 267, 1535, 2187, 1038, 4295, 6831, 12973, 815, 18358, 290, 3041, 476, 1911, 272, 22779, 13376, 18358, 290, 3041, 476, 10755, 278, 3299, 1412, 290, 3041, 476, 10755, 272, 11172, 2676, 13376, 18358, 290, 3041, 476, 11793, 279, 3299, 1412, 290, 3041, 476, 3422, 279, 11172, 2676, 13376, 18358, 290, 3041, 476, 14138, 277, 3299, 1412, 290, 3041, 476, 3422, 277, 11172, 2676, 13376, 1412, 290, 3041, 476, 10711, 274, 22779, 13376, 1412, 290, 3041, 476, 13975, 278, 22779, 13376, 1412, 290, 3041, 476, 21327, 277, 22779, 13376, 1412, 290, 3041, 476, 21327, 279, 22779, 13376, 1412, 290, 3041, 476, 17168, 278, 22779, 13376, 1412, 290, 3041, 476, 31696, 277, 22779, 13376, 18358, 290, 3041, 476, 275, 4375, 279, 3299, 1412, 290, 3041, 476, 275, 4375, 278, 11172, 6540, 1038, 585, 1576, 538, 4295, 6831, 12973, 912, 3546, 952, 1576, 14857, 5035, 1029, 2652, 1193, 912, 13376, 952, 17093, 314, 322, 6847, 6012, 343, 316, 2652, 476, 271, 912, 4449, 3546, 2132, 8771, 454, 13376, 1948, 1820, 6262, 6847, 1341, 834, 476, 834, 1341, 1193, 29254, 314, 322, 6847, 6012, 343, 28413, 3546, 952, 1576, 14857, 5035, 1029, 2652, 1592, 912, 13376, 952, 17093, 314, 322, 6847, 314, 271, 316, 6012, 343, 316, 3436, 476, 271, 912, 4449, 3546, 1948, 1820, 6262, 6847, 314, 271, 316, 1341, 834, 476, 834, 1341, 1193, 29254, 314, 322, 6847, 314, 271, 316, 6012, 343, 28413, 4449, 3546, 1780, 454, 13376, 8640, 17093, 314, 322, 6847, 314, 272, 316, 6012, 343, 316, 3436, 476, 271, 912, 4449, 3546, 1948, 1820, 6262, 6847, 314, 272, 316, 1341, 834, 476, 834, 1341, 1193, 29254, 314, 322, 6847, 314, 272, 316, 6012, 343, 28413, 4449, 3546, 1780, 454, 13376, 3116, 912, 4449, 3546, 2132, 8771, 454, 1038, 2132, 6936, 7531, 3698, 2979, 6831, 12973, 29254, 267, 1535, 17107, 1038, 952, 17093, 9131, 21316, 295, 476, 10441, 272, 262, 6012, 343, 316, 2652, 476, 271, 543, 17093, 9131, 21316, 295, 476, 3707, 272, 262, 6012, 343, 316, 2652, 476, 271, 912, 3546, 2132, 8771, 454, 1038, 1948, 1820, 3488, 21316, 295, 476, 10441, 272, 5073, 1038, 952, 17093, 9131, 21316, 295, 476, 10441, 273, 262, 6012, 343, 316, 2652, 476, 271, 543, 17093, 9131, 21316, 295, 476, 3707, 273, 262, 6012, 343, 316, 2652, 476, 271, 912, 3546, 2132, 8771, 454, 1038, 1948, 1820, 3488, 21316, 295, 476, 10441, 273, 17210, 1038, 2132, 6936, 7531, 3698, 28250, 318, 19491, 1161, 29254, 267, 1535, 267, 1576, 8217, 17107, 1038, 28250, 318, 19491, 1161, 815, 18358, 290, 3041, 476, 17168, 274, 3299, 1412, 290, 3041, 476, 25834, 272, 3299, 1412, 290, 3041, 476, 25834, 280, 3299, 1412, 290, 3041, 476, 27844, 273, 3299, 1412, 290, 3041, 476, 20065, 279, 3299, 1412, 290, 3041, 476, 28664, 280, 3299, 1412, 290, 3041, 476, 24783, 272, 3299, 1412, 290, 3041, 476, 31620, 276, 22779, 4449, 1363, 1412, 290, 3041, 476, 11740, 274, 3299, 1412, 290, 3041, 476, 11740, 276, 3299, 1412, 290, 3041, 476, 4391, 272, 276, 3299, 1412, 290, 3041, 476, 275, 2764, 273, 3299, 1412, 290, 3041, 476, 25396, 276, 3299, 1412, 290, 3041, 476, 25396, 278, 3299, 1412, 290, 3041, 476, 25396, 279, 3299, 1412, 290, 3041, 476, 32542, 280, 22779, 4449, 1363, 1412, 290, 3041, 476, 28242, 275, 3299, 1412, 290, 3041, 476, 275, 3451, 272, 3299, 1412, 290, 3041, 476, 31973, 271, 3299, 1412, 290, 3041, 476, 275, 3607, 271, 3299, 1412, 290, 3041, 476, 275, 4343, 273, 3299, 1412, 290, 3041, 476, 26493, 276, 3299, 1412, 290, 3041, 476, 5379, 272, 276, 3299, 1412, 21316, 295, 476, 13975, 272, 22779, 4449, 1363, 1412, 21316, 295, 476, 13975, 274, 3299, 1412, 21316, 295, 476, 14225, 274, 262, 6540, 1038, 5491, 18045, 815, 476, 271, 454, 1038, 585, 1576, 538, 28250, 318, 19491, 1161, 912, 3546, 952, 17093, 314, 322, 6847, 6012, 343, 316, 3436, 476, 271, 912, 13376, 5491, 18045, 6834, 1576, 8217, 314, 322, 6847, 8217, 28827, 6262, 6847, 264, 1341, 476, 272, 6540, 1038, 952, 5491, 18045, 2999, 476, 1428, 912, 3546, 2132, 8771, 454, 1038, 3116, 912, 3546, 2132, 6936, 7531, 3698, 2978, 5334, 7220, 318, 30084, 29254, 267, 1535, 17107, 1038, 952, 17093, 9131, 10292, 5357, 476, 9340, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 10292, 5357, 476, 21076, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 10292, 5357, 476, 4489, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 10292, 5357, 476, 29720, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 692, 1038, 952, 17093, 9131, 290, 4047, 300, 476, 9818, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 290, 4047, 300, 476, 9818, 274, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 290, 4047, 300, 476, 9818, 273, 262, 6012, 343, 316, 543, 17093, 9131, 290, 4047, 300, 476, 9818, 275, 262, 6012, 343, 14158, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 290, 4047, 300, 476, 4198, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 290, 4047, 300, 476, 4198, 274, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 290, 4047, 300, 476, 4198, 273, 262, 6012, 343, 316, 543, 17093, 9131, 290, 4047, 300, 476, 4198, 275, 262, 6012, 343, 14158, 3546, 2132, 6936, 692, 1038, 952, 17093, 9131, 292, 2464, 476, 1220, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 292, 2464, 476, 1001, 272, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 10292, 5357, 476, 1220, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 292, 2464, 476, 18684, 272, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 692, 1038, 952, 17093, 9131, 303, 14176, 306, 476, 11793, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 303, 14176, 306, 476, 11793, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 303, 14176, 306, 476, 3422, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 303, 14176, 306, 476, 3422, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 303, 14176, 306, 476, 1708, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 303, 14176, 306, 476, 1708, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 303, 14176, 306, 476, 29580, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 303, 14176, 306, 476, 29580, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 692, 1038, 2132, 8771, 7531, 3698, 1024, 2644, 29254, 267, 1535, 267, 1576, 8217, 17107, 1038, 10305, 815, 22373, 294, 310, 2580, 834, 294, 312, 2580, 834, 294, 313, 2580, 834, 16598, 2580, 834, 16412, 2580, 834, 31270, 2580, 834, 31769, 2580, 834, 294, 308, 31116, 1038, 585, 14487, 538, 10305, 912, 3546, 1775, 815, 476, 273, 454, 3546, 1699, 318, 3430, 25572, 318, 14814, 815, 8771, 454, 3546, 1247, 1775, 2999, 7003, 6262, 6847, 8217, 2187, 13376, 952, 1193, 6262, 6847, 8217, 5157, 316, 1040, 22772, 263, 3430, 25572, 264, 3436, 476, 271, 912, 4449, 3546, 952, 17093, 314, 322, 6847, 8217, 5157, 910, 476, 273, 316, 6012, 343, 316, 3436, 476, 271, 912, 4449, 13376, 1699, 318, 3430, 25572, 318, 14814, 815, 6936, 454, 4449, 13376, 1948, 1820, 6262, 6847, 8217, 5157, 910, 476, 273, 7481, 13376, 1775, 6834, 476, 274, 454, 3546, 952, 711, 1699, 318, 3430, 25572, 318, 14814, 912, 13376, 2132, 8771, 692, 1038, 2132, 6936, 454, 0, 320, 815, 834, 15916, 29177, 321, 815, 834, 13328, 257, 5897, 322, 815, 513, 1341, 536, 5897, 2745, 524, 5897, 323, 815, 513, 2608, 476, 276, 1477, 2745, 546, 5897, 324, 815, 513, 2608, 476, 276, 1341, 536, 2608, 476, 274, 1477, 2745, 552, 5897, 325, 815, 513, 269, 21639, 14052, 2745, 535, 5897, 326, 815, 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 ]
[ 269, 623, 7473, 22400, 715, 28719, 5442, 5990, 9474, 10976, 292, 700, 12114, 780, 5814, 942, 454, 5814, 4152, 318, 3559, 704, 7531, 3698, 1292, 10031, 825, 5727, 595, 8712, 519, 567, 570, 12239, 567, 3252, 538, 713, 9074, 269, 8173, 825, 2196, 15305, 318, 2889, 12378, 272, 30800, 3698, 2196, 15305, 318, 2889, 12378, 272, 10031, 825, 5727, 18873, 519, 476, 1966, 272, 567, 1599, 269, 8173, 825, 476, 19399, 19399, 2971, 454, 825, 1948, 8946, 2464, 292, 570, 2464, 4811, 25758, 9338, 3918, 4696, 312, 667, 24535, 269, 476, 11298, 10691, 8863, 3198, 12283, 5990, 300, 563, 825, 476, 19399, 19399, 2971, 454, 825, 1820, 4590, 825, 1820, 3488, 24801, 734, 5073, 825, 1820, 3488, 14818, 532, 519, 567, 1966, 272, 567, 1599, 281, 5073, 825, 1820, 3488, 24801, 734, 17210, 825, 3898, 23952, 815, 1412, 825, 1966, 272, 263, 15079, 3738, 7055, 825, 1449, 318, 29798, 815, 1496, 271, 267, 476, 271, 316, 476, 1948, 7089, 540, 4255, 5293, 267, 8959, 780, 825, 1948, 4530, 476, 272, 912, 825, 1535, 815, 476, 1321, 454, 825, 4397, 815, 476, 279, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 273, 912, 825, 1535, 815, 476, 273, 454, 825, 4397, 815, 476, 272, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 274, 912, 825, 1535, 815, 476, 279, 454, 825, 4397, 815, 476, 276, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 275, 912, 825, 1535, 815, 476, 3451, 454, 825, 4397, 815, 476, 2641, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 276, 912, 825, 1535, 815, 476, 4097, 454, 825, 4397, 815, 476, 2641, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 277, 912, 825, 1535, 815, 476, 3374, 454, 825, 4397, 815, 476, 4097, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 278, 912, 825, 1535, 815, 476, 3607, 454, 825, 4397, 815, 476, 4097, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 279, 912, 825, 1535, 815, 476, 6344, 271, 454, 825, 4397, 815, 476, 7176, 278, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 590, 9331, 300, 14473, 540, 519, 1449, 2164, 912, 825, 1820, 23544, 4424, 15058, 15305, 318, 29798, 6025, 652, 318, 29798, 994, 672, 692, 3698, 4017, 20906, 3799, 2187, 825, 5727, 16849, 519, 715, 628, 4017, 20906, 1297, 269, 8173, 825, 952, 562, 2652, 476, 272, 281, 2132, 476, 271, 454, 825, 8640, 562, 2652, 476, 273, 281, 2132, 476, 272, 454, 825, 3116, 281, 2132, 4017, 20906, 3799, 268, 272, 264, 1341, 4017, 20906, 3799, 268, 273, 9239, 3698, 1966, 272, 3799, 2187, 825, 8173, 825, 1548, 2501, 538, 912, 8587, 4534, 1323, 8870, 3152, 982, 476, 272, 281, 476, 562, 454, 825, 1548, 4422, 856, 281, 476, 16849, 519, 4102, 25828, 1297, 602, 568, 1447, 982, 562, 454, 825, 17121, 2360, 281, 7183, 563, 825, 31962, 602, 519, 25828, 5311, 568, 519, 3126, 540, 2338, 912, 1038, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 4429, 825, 1141, 519, 1985, 1297, 568, 1336, 676, 4946, 519, 1079, 3105, 2338, 563, 825, 1924, 519, 1985, 1297, 538, 713, 5311, 1131, 581, 476, 276, 1341, 476, 279, 815, 476, 1724, 780, 825, 6201, 912, 672, 1966, 272, 263, 1321, 264, 1131, 2132, 476, 279, 2676, 1363, 2094, 519, 1985, 25828, 1297, 630, 1724, 264, 568, 3152, 982, 476, 1321, 563, 672, 1966, 272, 263, 273, 264, 1131, 2132, 476, 272, 543, 454, 672, 1966, 272, 263, 279, 264, 1131, 2132, 476, 276, 780, 825, 7392, 23456, 912, 8587, 2433, 6943, 562, 281, 703, 454, 8587, 2433, 337, 6943, 281, 703, 454, 825, 8173, 825, 1948, 476, 5785, 14343, 8894, 825, 1948, 667, 821, 281, 476, 273, 269, 25956, 543, 1449, 713, 1599, 563, 825, 1948, 16875, 18873, 723, 1044, 2854, 585, 596, 630, 629, 913, 1916, 825, 1948, 2878, 1262, 29313, 18306, 19611, 2878, 1262, 912, 825, 1948, 1284, 13859, 513, 567, 4017, 20906, 567, 1599, 1657, 563, 825, 1948, 567, 1280, 674, 26097, 5491, 281, 4194, 713, 23166, 27345, 10912, 602, 4017, 20906, 1599, 454, 825, 1948, 8587, 610, 6382, 1210, 922, 3009, 563, 825, 1948, 567, 1280, 24315, 2316, 3201, 5491, 267, 1289, 519, 4017, 20906, 1599, 607, 2877, 563, 825, 1948, 454, 825, 1948, 634, 9864, 29931, 9016, 4528, 568, 606, 4443, 1966, 630, 514, 938, 2070, 13211, 825, 1948, 865, 596, 1522, 4194, 519, 9864, 29931, 9016, 4528, 674, 7644, 4306, 267, 4688, 602, 3070, 2676, 825, 1948, 543, 8946, 2894, 2119, 519, 2407, 29931, 9016, 4528, 563, 825, 1948, 1306, 2141, 267, 12164, 2316, 301, 16604, 547, 519, 1985, 1966, 952, 596, 616, 5254, 10813, 298, 593, 713, 835, 563, 825, 1948, 476, 5785, 14343, 8894, 825, 2698, 815, 476, 271, 454, 825, 1003, 815, 476, 272, 454, 825, 7173, 19571, 815, 476, 271, 454, 825, 1247, 562, 3436, 2698, 912, 1038, 2698, 815, 1003, 1341, 7173, 19571, 454, 1038, 7173, 19571, 815, 1003, 454, 1038, 1003, 815, 2698, 692, 825, 2132, 7173, 19571, 7531, 19399, 19399, 5992, 2971, 2162, 454, 258, 3776, 4255, 946, 519, 1739, 547, 1820, 5470, 6835, 538, 2699, 563, 258, 1684, 10691, 1689, 621, 269, 476, 1411, 798, 10691, 723, 547, 798, 4376, 609, 621, 563, 19399, 19399, 5992, 2971, 2162, 692, 3698, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 263, 1173, 3701, 267, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 2187, 825, 4152, 318, 3559, 704, 31428, 318, 1410, 4624, 318, 14310, 15058, 15305, 263, 1173, 3701, 267, 4397, 2676, 14030, 4449, 1449, 318, 29798, 2676, 14030, 4449, 3898, 23952, 9239, 3698, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2187, 825, 4152, 318, 3559, 704, 31428, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 2676, 14030, 25639, 1449, 318, 29798, 9239, 3698, 1820, 23544, 4424, 15058, 15305, 318, 29798, 6025, 652, 318, 29798, 2187, 825, 4152, 318, 3559, 704, 31428, 23544, 4424, 15058, 15305, 318, 29798, 6025, 652, 318, 29798, 9239, 258, 1677, 1450, 2681, 2275, 5317, 519, 3977, 547, 519, 23641, 912, 27516, 318, 4596, 299, 3036, 5058, 815, 6936, 476, 1948, 7827, 547, 8771, 547, 556, 3200, 547, 744, 17162, 2511, 7801, 692, 11687, 532, 318, 3559, 704, 269, 27516, 318, 4596, 299, 3036, 5058, 815, 2475, 292, 318, 4596, 299, 3036, 5058, 454, 604, 2475, 292, 318, 4596, 299, 3036, 5058, 912, 825, 1948, 1100, 1231, 18936, 12877, 4537, 611, 12976, 289, 16742, 1231, 454, 825, 1820, 815, 4152, 318, 3559, 704, 31428, 22674, 1819, 454, 12828, 912, 825, 1948, 1100, 1231, 18936, 12877, 4537, 611, 12976, 289, 16742, 1231, 454, 825, 1820, 815, 4152, 318, 3559, 704, 31428, 318, 684, 3712, 1819, 692, 258, 476, 5785, 14343, 955, 8894, 258, 595, 8712, 476, 1292, 476, 547, 1376, 519, 3440, 12902, 563, 258, 634, 567, 2119, 10371, 4849, 567, 11151, 5470, 6835, 593, 519, 23641, 689, 1373, 454, 258, 954, 2719, 1194, 609, 8723, 3977, 547, 519, 23641, 563, 258, 476, 5785, 14343, 955, 8894, 339, 787, 912, 825, 1292, 4590, 21955, 1401, 4003, 912, 825, 1820, 3488, 2207, 305, 3036, 910, 2755, 4881, 713, 1449, 267, 3299, 2681, 8782, 1042, 5073, 825, 1820, 3488, 20365, 3009, 6659, 519, 1739, 9868, 281, 3299, 2681, 8782, 1042, 5073, 825, 1820, 4590, 825, 942, 4732, 2748, 263, 272, 994, 825, 6318, 454, 0, 5814, 2415, 27785, 692, 3698, 1205, 26466, 336, 6600, 516, 336, 2187, 825, 2132, 703, 263, 1037, 263, 15615, 6600, 516, 336, 264, 2608, 476, 2004, 4700, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 4590, 825, 16163, 518, 14491, 318, 30348, 2891, 325, 516, 336, 2580, 1826, 815, 10581, 994, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 4590, 825, 1820, 2891, 10157, 589, 3583, 966, 346, 281, 323, 348, 717, 834, 269, 8971, 263, 1326, 26466, 336, 263, 16911, 8807, 516, 336, 21875, 0, 5228, 30220, 1104, 30220, 454, 5814, 942, 454, 5228, 2962, 6745, 1206, 269, 3667, 15461, 5334, 701, 3663, 1104, 3717, 692, 3698, 4266, 10031, 825, 3717, 263, 5503, 269, 1598, 1111, 830, 2891, 260, 323, 4939, 321, 4939, 312, 4939, 288, 8442, 2020, 3698, 24817, 10031, 825, 3717, 263, 5503, 269, 1598, 1111, 830, 2891, 260, 296, 281, 260, 300, 281, 260, 306, 4939, 288, 8442, 2020, 5814, 942, 454, 5814, 544, 12364, 322, 4135, 692, 3698, 3247, 31296, 10031, 825, 1535, 815, 3403, 3488, 18208, 521, 547, 1376, 267, 533, 547, 23249, 267, 610, 678, 547, 19268, 281, 30386, 825, 23249, 272, 815, 476, 271, 269, 271, 454, 825, 23249, 273, 815, 476, 271, 269, 271, 692, 825, 952, 1535, 568, 1412, 338, 12466, 1038, 1376, 815, 942, 17085, 1442, 4590, 1038, 1535, 272, 815, 1412, 338, 28847, 1038, 1247, 6936, 912, 2018, 952, 1535, 568, 1412, 335, 12466, 3546, 23249, 272, 815, 942, 17085, 1442, 3890, 1341, 23249, 272, 454, 3546, 1535, 815, 544, 12364, 322, 4135, 10947, 342, 577, 4590, 3546, 23249, 273, 815, 942, 17085, 1442, 3890, 1341, 23249, 273, 454, 3546, 1535, 272, 815, 1412, 335, 7055, 2018, 8640, 1535, 568, 1412, 337, 12466, 3546, 1820, 3488, 4449, 1363, 22207, 1439, 8782, 315, 337, 5073, 3546, 1820, 3488, 271, 281, 271, 281, 271, 269, 876, 3299, 1439, 8782, 315, 337, 5073, 3546, 1535, 815, 544, 12364, 322, 4135, 10947, 342, 577, 4590, 3546, 1376, 815, 942, 17085, 1442, 4590, 3546, 23249, 272, 815, 476, 271, 269, 271, 454, 3546, 23249, 273, 815, 476, 271, 269, 271, 454, 2018, 8640, 1535, 568, 1412, 338, 12466, 3546, 952, 544, 12364, 322, 4135, 21993, 321, 327, 527, 10031, 7386, 1535, 815, 544, 12364, 322, 4135, 10947, 342, 577, 4590, 3546, 3116, 912 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3593, 547, 3403, 909, 547, 1079, 8635, 10148, 593, 519, 454, 1012, 476, 6389, 950, 7231, 609, 6198, 7252, 454, 1012, 454, 1012, 476, 14871, 11378, 912, 1012, 825, 535, 815, 834, 9008, 257, 2627, 609, 1990, 815, 535, 3287, 11971, 994, 1012, 825, 575, 815, 834, 321, 18847, 257, 2627, 609, 1990, 815, 575, 3287, 11971, 994, 1012, 825, 2783, 272, 815, 513, 2582, 10465, 23061, 269, 476, 898, 1058, 711, 1331, 30974, 610, 1923, 547, 6443, 1079, 2175, 563, 1012, 825, 2783, 273, 815, 1776, 10465, 23061, 269, 476, 1403, 972, 568, 1152, 835, 23061, 267, 1175, 4283, 1945, 3020, 454, 1012, 1038, 610, 1256, 1175, 606, 1535, 630, 528, 586, 264, 538, 519, 7127, 10145, 563, 1012, 454, 1012, 692, 12534, 3488, 343, 11971, 17210, 258, 476, 535, 568, 519, 1283, 2627, 454, 258, 476, 575, 568, 519, 5377, 2627, 454, 29514, 535, 267, 326, 692, 258, 476, 2783, 272, 543, 2783, 273, 616, 519, 8635, 10148, 269, 476, 898, 1131, 581, 8799, 454, 258, 476, 547, 723, 1022, 1297, 540, 2175, 4448, 676, 476, 610, 11406, 29514, 2783, 272, 267, 935, 1288, 273, 692, 287, 5793, 716, 454, 3698, 9041, 263, 325, 284, 6358, 318, 7901, 263, 29239, 14352, 272, 270, 274, 12684, 343, 317, 273, 1341, 630, 272, 270, 275, 12684, 344, 317, 273, 1341, 476, 276, 267, 16932, 8782, 259, 325, 3287, 6661, 259, 262, 13211, 326, 284, 6358, 318, 7901, 263, 29239, 15871, 272, 20080, 266, 271, 265, 344, 267, 16932, 8782, 259, 326, 3287, 6661, 259, 262, 13211, 935, 1288, 272, 284, 6358, 318, 7901, 263, 29239, 284, 1535, 317, 273, 20742, 317, 273, 283, 279, 267, 16932, 8782, 259, 3519, 14259, 842, 318, 272, 284, 259, 262, 13211, 935, 1288, 273, 284, 6358, 318, 7901, 263, 29239, 284, 344, 283, 7562, 263, 274, 20080, 1070, 16932, 8782, 259, 3519, 14259, 842, 318, 273, 284, 259, 262, 13211, 323, 2214, 514, 815, 18011, 8967, 514, 286, 3299, 25152, 13211, 743, 337, 815, 2681, 26000, 937, 528, 3488, 258, 325, 3530, 876, 3299, 6003, 8782, 24127, 7822, 3299, 11097, 1326, 8782, 10233, 335, 1157, 518, 3299, 12404, 318, 7901, 18989, 13211, 16282, 815, 2039, 5334, 331, 3187, 8987, 276, 267, 476, 276, 267, 476, 272, 267, 9949, 284, 8987, 274, 267, 274, 1070, 6003, 8782, 311, 16186, 262, 13211, 344, 344, 815, 2039, 5334, 331, 3187, 8987, 276, 267, 476, 276, 267, 476, 272, 267, 9949, 284, 8987, 274, 267, 274, 1070, 6003, 8782, 312, 16186, 262, 13211, 2246, 334, 318, 26303, 284, 32401, 17107, 258, 476, 901, 568, 519, 1283, 1599, 2965, 1178, 335, 1117, 676, 1210, 10878, 301, 3544, 6389, 454, 3698, 674, 3287, 11971, 2187, 604, 2783, 272, 3287, 24210, 11971, 284, 344, 2187, 604, 2783, 273, 3287, 24210, 11971, 284, 344, 2187, 8873, 535, 3287, 24210, 11971, 284, 344, 994, 12828, 912, 8873, 910, 27845, 301, 454, 12828, 912, 8873, 910, 27845, 301, 692, 258, 901, 568, 519, 5377, 1599, 2965, 1178, 335, 1117, 676, 1210, 10878, 301, 3544, 6389, 454, 3698, 717, 3287, 11971, 2187, 604, 2783, 272, 3287, 24210, 11971, 284, 344, 2187, 604, 2783, 273, 3287, 24210, 11971, 284, 344, 2187, 8873, 575, 3287, 24210, 11971, 284, 344, 994, 12828, 912, 8873, 910, 27845, 301, 454, 12828, 912, 8873, 910, 27845, 301, 692, 303, 815, 29093, 10797, 258, 476, 634, 3113, 540, 519, 1283, 543, 5377, 7252, 454, 303, 8217, 815, 11713, 303, 8217, 6910, 263, 7120, 274, 323, 263, 293, 267, 263, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 10233, 8782, 19990, 3299, 641, 13369, 284, 271, 269, 280, 4917, 303, 8217, 6910, 263, 7120, 274, 323, 31855, 267, 263, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 10233, 8782, 326, 2001, 3299, 641, 13369, 284, 271, 269, 280, 11723, 258, 476, 3955, 335, 25544, 834, 331, 16558, 257, 1063, 519, 1283, 543, 5377, 952, 5551, 692, 604, 1397, 318, 14179, 912, 7806, 3930, 815, 2039, 263, 1015, 2020, 3698, 670, 3287, 11971, 267, 337, 2187, 8873, 630, 272, 8573, 12684, 293, 3287, 24210, 11971, 284, 344, 11924, 337, 265, 294, 3287, 24210, 11971, 284, 344, 994, 303, 8217, 269, 2169, 754, 8443, 454, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 272, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 273, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 274, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 275, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 276, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 277, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 278, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 279, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 280, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 994, 7481, 258, 2018, 623, 815, 4729, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 1470, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 272, 2020, 258, 476, 3767, 267, 18645, 782, 540, 519, 11708, 883, 835, 19882, 3113, 563, 303, 815, 2040, 27456, 8217, 5157, 316, 585, 1775, 538, 2039, 12759, 27456, 8217, 4297, 2020, 604, 1397, 318, 274, 323, 912, 19651, 27456, 267, 18134, 284, 25152, 267, 31320, 284, 32401, 21726, 2381, 284, 16282, 314, 271, 3910, 343, 10946, 284, 16282, 314, 272, 3910, 2096, 514, 284, 344, 344, 314, 271, 3910, 2096, 1314, 284, 344, 344, 314, 272, 3910, 560, 699, 334, 8782, 1042, 1097, 534, 3299, 325, 12127, 1125, 14352, 277, 267, 280, 1070, 1613, 518, 8782, 329, 28485, 3299, 4944, 514, 284, 323, 2214, 514, 994, 12828, 912, 19651, 27456, 267, 18134, 284, 25152, 267, 31320, 284, 32401, 21726, 2381, 284, 16282, 314, 271, 3910, 343, 10946, 284, 16282, 314, 272, 3910, 2096, 514, 284, 344, 344, 314, 271, 3910, 2096, 1314, 284, 344, 344, 314, 272, 3910, 325, 12127, 1125, 14352, 277, 267, 280, 1070, 1613, 518, 8782, 329, 28485, 3299, 4944, 514, 284, 323, 2214, 514, 2020, 1012, 700, 8632, 17183, 9351, 692, 2421, 3627, 3004, 6665, 692, 1012, 476, 18224, 543, 12337, 519, 1858, 540, 519, 14694, 2627, 1063, 1079, 7252, 454, 1012, 476, 7222, 547, 519, 630, 2675, 531, 541, 264, 1899, 7533, 454, 1012, 476, 3627, 3004, 6665, 454, 1012, 476, 11354, 476, 1001, 272, 692, 12534, 3488, 343, 11971, 25722, 29679, 5073, 287, 5793, 716, 454, 3698, 9041, 263, 325, 284, 6358, 318, 7901, 263, 29239, 284, 277, 268, 275, 20080, 317, 273, 3917, 317, 273, 265, 273, 270, 276, 267, 16932, 8782, 259, 325, 3287, 11971, 264, 815, 259, 262, 13211, 326, 284, 6358, 318, 7901, 263, 29239, 15871, 273, 266, 7562, 3287, 11924, 7562, 12169, 1070, 16932, 8782, 259, 326, 3287, 11971, 264, 815, 259, 262, 13211, 340, 284, 6358, 318, 7901, 263, 29239, 284, 6523, 6025, 1070, 16932, 8782, 259, 340, 6025, 264, 815, 259, 262, 13211, 341, 284, 6358, 318, 7901, 263, 29239, 284, 273, 265, 7562, 6025, 1070, 16932, 8782, 259, 341, 6025, 264, 815, 259, 262, 13211, 320, 284, 6358, 318, 7901, 263, 29239, 284, 271, 267, 16932, 8782, 259, 320, 815, 259, 262, 13211, 321, 284, 6358, 318, 7901, 263, 29239, 284, 274, 265, 7032, 270, 273, 267, 16932, 8782, 259, 321, 815, 259, 262, 13211, 16282, 815, 2039, 5334, 331, 3187, 8987, 276, 267, 476, 276, 267, 476, 272, 267, 9949, 284, 8987, 272, 267, 272, 1070, 6003, 8782, 343, 2070, 262, 13211, 344, 344, 815, 2039, 5334, 331, 3187, 8987, 276, 267, 476, 276, 267, 476, 272, 267, 9949, 284, 8987, 273, 267, 273, 1070, 6003, 8782, 344, 2070, 262, 13211, 8243, 334, 1278, 284, 13765, 7901, 263, 29239, 284, 32401, 4297, 1384, 1091, 815, 21762, 263, 1457, 29719, 26086, 6025, 1070, 339, 8203, 273, 266, 1457, 29719, 17635, 6025, 1070, 339, 8203, 273, 2020, 258, 567, 5590, 909, 519, 2076, 8681, 547, 12337, 519, 1899, 7533, 267, 1818, 782, 8942, 454, 258, 567, 547, 14458, 519, 1267, 865, 602, 621, 5654, 607, 8799, 607, 2009, 563, 288, 815, 630, 325, 3287, 284, 340, 6025, 1070, 344, 284, 341, 6025, 4297, 268, 326, 3287, 284, 340, 6025, 1070, 344, 284, 341, 6025, 4297, 12684, 1091, 4732, 574, 680, 1518, 4671, 3419, 14061, 13678, 680, 1518, 10797, 258, 567, 898, 568, 711, 4397, 602, 590, 720, 666, 2965, 1685, 519, 1899, 7533, 9819, 563, 258, 567, 1924, 267, 519, 1267, 10268, 949, 711, 581, 513, 10230, 1871, 607, 4397, 563, 258, 567, 12861, 513, 1434, 855, 9875, 1383, 602, 834, 4103, 257, 568, 14909, 563, 1467, 318, 15759, 1537, 815, 7533, 10490, 25722, 28083, 14720, 994, 1467, 318, 15759, 1537, 318, 13627, 815, 10230, 318, 15759, 1537, 10490, 28083, 14720, 25011, 271, 6540, 6255, 6447, 16868, 262, 283, 327, 275, 5447, 284, 22487, 285, 299, 8632, 17183, 9351, 815, 1269, 260, 338, 259, 21742, 327, 275, 285, 262, 260, 17218, 343, 263, 1467, 318, 15759, 1537, 11723, 6255, 6447, 16868, 262, 283, 327, 275, 5447, 284, 22487, 285, 299, 8632, 17183, 4399, 13627, 259, 4939, 338, 9572, 327, 273, 285, 262, 260, 1598, 263, 1467, 318, 15759, 1537, 318, 13627, 11723, 258, 567, 18140, 519, 1283, 1599, 1990, 815, 535, 3287, 11971, 264, 602, 568, 1373, 7471, 563, 294, 815, 4729, 274, 323, 6600, 267, 263, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 994, 294, 6834, 4729, 274, 323, 14116, 267, 263, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 2020, 258, 567, 5410, 2230, 14258, 593, 519, 7252, 834, 629, 913, 257, 519, 6389, 7455, 630, 340, 6025 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5408, 2630, 1070, 4171, 2040, 568, 21566, 815, 476, 31979, 6924, 274, 273, 269, 4706, 9103, 1304, 568, 26420, 815, 476, 31404, 29876, 273, 780, 763, 3105, 6305, 568, 476, 31979, 19740, 280, 269, 634, 1985, 6305, 568, 476, 31979, 18733, 272, 269, 634, 30729, 540, 476, 31979, 18089, 272, 568, 476, 6200, 31648, 275, 780, 2005, 568, 513, 6126, 1297, 780, 2005, 568, 513, 5033, 760, 31870, 1317, 621, 568, 519, 1587, 540, 1079, 22136, 267, 543, 849, 513, 2349, 636, 8870, 267, 1317, 519, 1079, 22136, 616, 3160, 547, 476, 274, 1110, 476, 275, 267, 543, 849, 606, 900, 597, 335, 1307, 267, 2094, 922, 9258, 568, 513, 3982, 5033, 760, 31870, 281, 476, 6200, 31648, 275, 815, 476, 7742, 276, 1428, 278, 780, 2005, 568, 513, 28023, 1297, 780, 2005, 568, 711, 513, 632, 2717, 793, 659, 1297, 267, 1317, 476, 31979, 18089, 272, 910, 476, 21497, 815, 476, 30156, 278, 3451, 274, 568, 513, 6305, 780, 2005, 568, 513, 667, 4428, 15687, 1297, 780, 2005, 568, 513, 21412, 1297, 780, 2005, 568, 711, 606, 796, 18905, 762, 1297, 267, 1317, 621, 666, 581, 4957, 883, 513, 6305, 630, 31979, 18733, 272, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 538, 476, 274, 2081, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 585, 1383, 267, 476, 23056, 272, 1341, 3267, 1341, 476, 24907, 277, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 9818, 22213, 279, 6393, 29909, 15983, 267, 476, 25240, 22145, 4905, 568, 606, 3284, 32565, 1297, 780, 2005, 568, 606, 21443, 762, 1297, 780, 31979, 18089, 272, 568, 513, 28119, 1297, 267, 2094, 621, 568, 3677, 982, 519, 2040, 540, 922, 1697, 16975, 630, 6858, 274, 272, 6393, 31979, 18089, 272, 568, 606, 1226, 573, 580, 1388, 1297, 267, 2094, 621, 3096, 607, 1454, 607, 9704, 607, 922, 26458, 780, 31979, 18089, 272, 568, 606, 9409, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 1256, 780, 763, 2040, 540, 922, 6305, 2188, 568, 476, 6858, 274, 271, 780, 763, 1587, 540, 922, 630, 12061, 14706, 264, 9704, 568, 476, 1321, 267, 1247, 519, 2040, 568, 476, 1015, 780, 763, 4009, 3597, 540, 476, 31979, 18089, 272, 568, 827, 476, 10711, 273, 269, 25784, 4200, 273, 6321, 274, 278, 269, 634, 12945, 3597, 540, 476, 31979, 18089, 272, 568, 827, 476, 8182, 269, 4510, 273, 8064, 277, 279, 4037, 274, 780, 29002, 547, 476, 31979, 18089, 272, 922, 9258, 630, 6200, 31648, 275, 1070, 649, 1205, 513, 5493, 30308, 630, 276, 1691, 271, 6078, 276, 6393, 763, 10259, 540, 476, 31979, 18089, 272, 538, 1913, 568, 834, 27917, 2929, 267, 835, 4627, 13977, 8536, 267, 835, 4627, 835, 6231, 19667, 30583, 281, 476, 272, 476, 6924, 274, 476, 2568, 275, 278, 476, 31979, 18089, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8999, 3709, 333, 284, 271, 11892, 315, 13727, 533, 3799, 32589, 18898, 815, 1422, 2889, 323, 3709, 330, 284, 272, 11892, 315, 13727, 1422, 2765, 346, 272, 2410, 263, 272, 14870, 317, 330, 264, 21456, 1892, 634, 10451, 1599, 585, 715, 9852, 333, 264, 568, 2016, 2630, 281, 314, 276, 2639, 7445, 8999, 3709, 332, 284, 10559, 13727, 11892, 315, 13727, 1422, 8999, 3709, 333, 284, 271, 11892, 315, 13727, 715, 9852, 19885, 264, 1990, 317, 332, 7117, 18898, 815, 476, 272, 1341, 1422, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 1422, 2765, 346, 336, 3867, 333, 317, 273, 24828, 2889, 323, 3709, 330, 284, 272, 11892, 333, 630, 476, 272, 910, 1990, 336, 317, 330, 7565, 272, 22271, 13064, 272, 348, 336, 317, 330, 264, 21456, 1892, 634, 10451, 1599, 585, 1627, 630, 562, 3738, 568, 2016, 2630, 281, 314, 277, 2639, 7445, 8999, 3709, 333, 284, 271, 11892, 315, 13727, 1627, 3799, 32589, 18898, 815, 1422, 2889, 323, 3709, 330, 284, 271, 11892, 315, 13727, 1422, 2765, 346, 272, 2410, 263, 272, 14870, 3867, 273, 330, 268, 272, 16585, 21456, 1892, 634, 10451, 1599, 585, 1627, 630, 544, 2073, 562, 3738, 568, 2016, 2630, 281, 314, 277, 2639, 7445, 8999, 3709, 332, 19885, 284, 271, 11892, 315, 13727, 1627, 9852, 19885, 264, 1990, 317, 332, 7117, 18898, 815, 476, 272, 1341, 1422, 8999, 3709, 338, 284, 272, 11892, 315, 13727, 1422, 2765, 346, 336, 3867, 338, 4433, 266, 272, 8358, 273, 12453, 263, 272, 22271, 336, 7565, 272, 22271, 336, 317, 273, 264, 1422, 26984, 630, 272, 22271, 336, 317, 338, 264, 10592, 21446, 622, 4214, 692, 14611, 2376, 281, 20736, 325, 2465, 4009, 692, 1103, 2036, 13541, 923, 267, 519, 8360, 7584, 540, 513, 15652, 568, 3006, 1031, 547, 4766, 513, 1114, 1523, 281, 519, 7584, 540, 513, 15652, 18494, 568, 519, 4102, 8870, 1775, 971, 602, 18494, 814, 693, 2547, 1775, 2694, 1142, 540, 799, 568, 1100, 4130, 982, 1775, 16804, 278, 316, 4982, 2526, 1836, 267, 713, 568, 519, 3259, 540, 519, 1292, 15497, 538, 519, 8479, 6516, 610, 12113, 516, 3464, 6516, 585, 18494, 267, 610, 519, 2427, 27480, 540, 519, 20736, 325, 2465, 4009, 540, 18494, 780, 763, 3349, 540, 16034, 540, 851, 1431, 540, 476, 276, 568, 2016, 2630, 780, 305, 3471, 540, 519, 851, 1431, 540, 519, 8870, 476, 276, 692, 8512, 819, 24419, 454, 346, 476, 276, 7684, 476, 272, 454, 346, 476, 275, 267, 476, 272, 7684, 476, 272, 454, 346, 476, 274, 267, 476, 273, 7684, 476, 273, 454, 346, 476, 274, 267, 476, 272, 267, 476, 272, 7684, 476, 272, 454, 346, 476, 273, 267, 476, 273, 267, 476, 272, 7684, 476, 273, 454, 346, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 272, 7684, 476, 272, 454, 346, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 7684, 476, 272, 692, 1892, 1306, 2096, 696, 5328, 12596, 585, 519, 7584, 15652, 1599, 281, 314, 279, 2639, 1892, 5556, 745, 1878, 585, 7584, 1599, 281, 314, 280, 2639, 1892, 4937, 5314, 540, 7584, 547, 645, 294, 8573, 1678, 281, 314, 1015, 6540, 290, 17213, 540, 513, 15652, 692, 27066, 692, 272, 269, 674, 269, 21619, 517, 630, 3707, 275, 1040, 834, 5278, 7058, 525, 538, 519, 3069, 540, 851, 1431, 2668, 25876, 6390, 630, 23173, 8822, 264, 476, 279, 281, 476, 1015, 1700, 1428, 563, 273, 269, 9745, 590, 12541, 643, 14505, 267, 10548, 534, 340, 13568, 630, 4489, 280, 1040, 834, 5278, 3601, 540, 533, 3799, 1070, 1297, 540, 851, 1431, 540, 562, 2668, 18619, 540, 519, 11062, 11096, 28441, 5980, 2473, 21197, 281, 476, 21709, 1700, 13975, 563, 274, 269, 9745, 589, 269, 744, 269, 700, 269, 2311, 7219, 282, 670, 269, 623, 269, 674, 269, 4210, 4883, 30639, 5937, 9807, 630, 4198, 275, 1040, 834, 5278, 3601, 540, 851, 1431, 2437, 269, 18619, 540, 519, 5507, 19556, 5980, 476, 5780, 630, 275, 2567, 476, 10019, 1700, 11793, 563, 275, 269, 9745, 717, 13034, 269, 10434, 344, 543, 661, 15030, 269, 19159, 630, 4350, 279, 1040, 1323, 4367, 547, 519, 3069, 540, 2338, 269, 5507, 281, 10228, 2160, 4964, 269, 533, 269, 1109, 28638, 563, 276, 269, 9745, 20780, 10458, 267, 22186, 12541, 630, 1220, 280, 1040, 834, 17812, 745, 1878, 585, 21619, 517, 781, 16034, 2668, 4139, 4750, 540, 7089, 7869, 476, 276, 630, 275, 1040, 8158, 476, 2190, 5437, 476, 1001, 273, 563, 277, 269, 9745, 513, 536, 12756, 3933, 802, 630, 1001, 271, 1040, 834, 10831, 5376, 6776, 3601, 540, 10451, 3252, 1644, 547, 21619, 517, 781, 7584, 585, 851, 1431, 883, 3982, 2694, 2668, 18619, 540, 519, 1977, 19556, 5980, 476, 15946, 281, 476, 4366, 272, 1700, 5392, 275, 269, 8222, 281, 1015, 269, 11820, 271, 4882, 1822, 273, 268, 4200, 274, 280, 268, 6021, 268, 1911, 10602, 14870, 269, 8158, 476, 2190, 5437, 476, 1001, 273, 563, 278, 269, 9745, 454, 279, 269, 9745, 20780, 2006, 267, 22186, 12541, 630, 20809, 476, 1220, 280, 1040, 834, 288, 22131, 696, 18352, 1280, 24419, 3487, 819, 12793, 2668, 3690, 13905, 2986, 634, 1977, 19556, 5980, 476, 3607, 272, 630, 278, 2567, 476, 4097, 279, 274, 1700, 12573, 271, 269, 8222, 281, 1015, 269, 11820, 271, 4882, 1822, 273, 268, 4200, 275, 278, 268, 6021, 268, 271, 3393, 7871, 14870, 269, 8158, 476, 2641, 5437, 476, 1001, 273, 563, 280, 269, 9745, 20780, 10458, 267, 22186, 12541, 269, 834, 17812, 745, 1878, 585, 21619, 517, 781, 7584, 2668, 8158, 476, 2641, 5437, 476, 1001, 273, 563, 1015, 269, 9745, 12138, 7137, 28325, 747, 543, 7671, 12275, 7079, 269, 834, 763, 645, 294, 8573, 1678, 540, 513, 15652, 543, 922, 3156, 2668, 8158, 476, 2641, 5437, 476, 1001, 273, 269, 0, 258, 15585, 1049, 18289, 692, 21776, 476, 277, 267, 476, 1001, 278, 1923, 8191, 281, 7254, 329, 30519, 7701, 1923, 21145, 281, 4911, 983, 28850, 636, 267, 674, 9689, 267, 20653, 6290, 267, 15585, 566, 267, 7136, 692, 2971, 10374, 13517, 692, 305, 582, 1049, 18289, 2055, 543, 2035, 13718, 2971, 13517, 692, 258, 314, 16942, 1109, 31695, 316, 717, 7838, 20084, 8085, 1948, 305, 582, 1049, 18289, 5426, 1107, 476, 272, 7726, 585, 6657, 667, 4916, 7304, 272, 476, 272, 780, 288, 3440, 15942, 1510, 11508, 1524, 606, 20916, 7077, 540, 476, 276, 305, 4463, 476, 273, 692, 273, 305, 692, 7785, 476, 276, 305, 270, 273, 692, 275, 305, 476, 2568, 692, 271, 692, 302, 692, 273, 780, 274, 780, 269, 898, 22613, 519, 5377, 540, 519, 20916, 7077, 543, 7575, 2059, 513, 9764, 8520, 540, 8953, 681, 269, 634, 3196, 25116, 676, 519, 3440, 693, 1448, 589, 568, 630, 320, 264, 8406, 630, 321, 264, 476, 273, 269, 276, 8406, 630, 322, 264, 476, 274, 269, 276, 8406, 630, 323, 264, 476, 275, 269, 276, 8406, 589, 3440, 20604, 476, 1428, 575, 568, 13615, 547, 513, 5569, 476, 1015, 4699, 1279, 269, 21231, 519, 3440, 568, 4371, 538, 2990, 971, 602, 519, 5569, 568, 8880, 269, 634, 3440, 568, 1631, 5950, 269, 589, 17970, 715, 568, 13883, 19794, 2630, 476, 278, 269, 519, 1489, 693, 513, 3845, 700, 269, 634, 5934, 1871, 540, 700, 971, 602, 519, 5569, 786, 581, 10138, 5180, 519, 17970, 568, 630, 320, 264, 476, 273, 4699, 630, 321, 264, 476, 275, 4699, 630, 322, 264, 476, 277, 4699, 630, 323, 264, 476, 279, 4699, 589, 3625, 540, 2527, 631, 568, 5116, 593, 513, 8880, 11508, 1652, 2627, 9474, 543, 513, 1560, 623, 540, 2527, 544, 568, 5950, 593, 922, 476, 279, 269, 11508, 1652, 9386, 269, 595, 623, 631, 589, 692, 275, 780, 276, 780, 277, 780, 304, 692, 289, 692, 2026, 623, 15942, 676, 513, 3259, 700, 593, 713, 9386, 540, 31007, 16564, 267, 519, 3625, 1627, 1131, 13472, 676, 513, 3845, 2433, 544, 544, 700, 5430, 16564, 630, 321, 264, 700, 630, 320, 264, 631, 631, 266, 332, 631, 266, 332, 20853, 5430, 16564, 630, 323, 264, 630, 322, 264, 20853, 5430, 16564, 544, 266, 300, 589, 1560, 540, 2527, 631, 543, 8953, 681, 568, 12902, 23276, 1510, 1793, 6235, 609, 3432, 642, 269, 898, 1287, 20061, 909, 513, 14629, 547, 513, 5021, 4463, 554, 269, 1403, 554, 815, 476, 276, 341, 273, 270, 277, 326, 267, 1018, 568, 519, 631, 15660, 269, 540, 519, 1560, 7790, 476, 273, 476, 272, 630, 321, 264, 19182, 273, 513, 264, 19182, 273, 476, 273, 476, 274, 476, 274, 476, 273, 476, 273, 630, 323, 264, 19182, 273, 630, 322, 264, 19182, 476, 275, 476, 276, 589, 7911, 543, 513, 812, 4163, 513, 7833, 11425, 540, 3259, 561, 23276, 476, 272, 538, 971, 513, 1259, 602, 519, 7911, 4991, 555, 540, 519, 4452, 269, 1403, 519, 7911, 568, 476, 275, 693, 835, 1439, 540, 519, 11425, 267, 1287, 519, 3845, 540, 519, 812, 689, 519, 824, 1439, 568, 476, 274, 331, 561, 476, 273, 331, 561, 630, 321, 264, 630, 322, 264, 630, 323, 264, 630, 320, 264, 476, 274, 476, 274, 476, 275, 476, 275, 589, 15790, 10938, 814, 9112, 513, 11442, 607, 3254, 538, 519, 7755, 334, 1456, 4453, 780, 280, 780, 2252, 519, 5860, 540, 519, 1570, 540, 519, 12106, 568, 476, 1321, 2053, 602, 540, 13409, 267, 519, 2990, 540, 519, 8998, 540, 2527, 540, 519, 11442, 568, 2016, 676, 2433, 630, 320, 264, 693, 513, 3845, 540, 476, 273, 305, 689, 744, 630, 321, 264, 693, 513, 3845, 540, 476, 274, 305, 689, 744, 630, 322, 264, 693, 513, 3845, 540, 476, 275, 305, 689, 744, 630, 323, 264, 693, 513, 3845, 540, 476, 276, 305, 689, 744, 589, 1978, 17919, 666, 979, 909, 513, 9543, 13141, 710, 609, 3586, 3432, 950, 519, 535, 2774, 1308, 3196, 540, 2666, 11319, 519, 15493, 8868, 952, 674, 273, 815, 476, 275, 715, 269, 2060, 1018, 3196, 674, 272, 1590, 519, 5832, 7485, 593, 519, 838, 13702, 564, 8868, 952, 681, 272, 815, 476, 276, 4699, 543, 681, 273, 815, 476, 1789, 4699, 7790, 630, 320, 264, 476, 275, 715, 630, 321, 264, 476, 2190, 715, 476, 3374, 715, 524, 264, 476, 9610, 715, 546, 264, 476, 275, 589, 5230, 1167, 568, 16207, 593, 513, 8880, 2627, 538, 971, 513, 1259, 602, 621, 15942, 609, 513, 3432, 966, 271, 7620, 1510, 12902, 269, 898, 786, 1376, 12902, 1510, 1793, 6235, 950, 922, 3432, 6971, 547, 2433, 966, 476, 273, 309, 271, 630, 321, 264, 630, 320, 264, 476, 271, 476, 273, 476, 274, 476, 276, 309, 271, 476, 274, 309, 271, 630, 322, 264, 546, 264, 476, 276, 476, 278, 589, 5230, 9325, 16304, 689, 513, 5569, 540, 3259, 561, 568, 15810, 23276, 609, 3432, 692, 6921, 1547, 634, 3432, 540, 519, 9325, 693, 519, 692, 4812, 1141, 519, 8082, 538, 519, 5569, 11224, 519, 2597, 540, 519, 9325, 568, 630, 320, 2020, 263, 273, 6921, 2020, 6357, 2020, 263, 274, 6921, 2020, 6262, 2020, 263, 6921, 1315, 476, 273, 2020, 5560, 2020, 263, 6921, 1315, 476, 274, 2020, 1015, 269, 589, 2527, 544, 568, 6462, 676, 513, 2527, 1652, 5569, 10138, 1472, 513, 7833, 12718, 540, 2527, 544, 543, 8953, 681, 267, 8431, 269, 2060, 1018, 934, 269, 786, 519, 2527, 2887, 593, 5305, 7790, 630, 320, 264, 476, 273, 326, 270, 274, 536, 264, 575, 270, 273, 524, 264, 575, 630, 323, 264, 476, 275, 326, 270, 274, 476, 1556, 269, 589, 9325, 540, 2527, 544, 815, 476, 276, 568, 3001, 609, 513, 7833, 3432, 642, 815, 476, 274, 18414, 273, 538, 519, 2473, 302, 312, 7077, 2059, 519, 1899, 586, 815, 1535, 1341, 476, 275, 269, 634, 9588, 540, 519, 16070, 11610, 827, 5169, 568, 630, 320, 264, 4642, 536, 264, 476, 2568, 1770, 630, 322, 264, 476, 278, 269, 276, 1770, 630, 323, 264, 476, 2412, 20734, 273, 476, 1321, 269, 589, 9325, 540, 2527, 544, 568, 15914, 538, 513, 7077, 538, 9764, 2619, 540, 8953, 678, 269, 4706, 16070, 11610, 568, 700, 269, 634, 1298, 686, 7065, 531, 3196, 9117, 593, 519, 9325, 568, 692, 5416, 2020, 299, 273, 32275, 692, 321, 2020, 1492, 3339, 540, 24880, 540, 519, 1482, 12718, 827, 606, 7852, 8429, 998, 922, 8998, 543, 3339, 547, 922, 3259, 561, 1287, 23241, 299, 273, 544, 678, 273, 692, 5416, 264, 700, 815, 681, 630, 321, 264, 700, 815, 476, 274, 681, 681, 630, 322, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 800, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 1240, 282, 7305, 590, 273, 267, 4737, 476, 3192, 1070, 12094, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 8287, 282, 7305, 590, 273, 267, 4737, 476, 2735, 1070, 5599, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 4097, 282, 7305, 590, 273, 267, 4737, 476, 1960, 1070, 543, 2837, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 7176, 282, 7305, 590, 273, 267, 4737, 476, 1220, 1040, 5403, 3620, 665, 2079, 4951, 602, 519, 1198, 540, 10980, 593, 13662, 293, 729, 3648, 3152, 982, 22289, 630, 395, 485, 273, 815, 476, 279, 269, 2004, 267, 533, 815, 476, 271, 269, 21916, 282, 7305, 590, 273, 267, 4737, 476, 21857, 1070, 12094, 630, 395, 485, 273, 815, 476, 1015, 269, 4905, 267, 533, 815, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 22724, 1070, 543, 2837, 2566, 630, 395, 485, 273, 815, 476, 275, 269, 2568, 267, 533, 815, 476, 271, 269, 6734, 282, 7305, 590, 273, 267, 4737, 476, 16348, 1040, 667, 3754, 2360, 593, 13662, 293, 941, 2147, 547, 21737, 17017, 321, 643, 800, 630, 395, 485, 273, 815, 476, 273, 269, 7830, 267, 533, 815, 476, 271, 269, 1556, 282, 7305, 590, 273, 267, 4737, 476, 26562, 264, 543, 5599, 6543, 485, 273, 815, 476, 271, 269, 5881, 267, 533, 815, 476, 271, 269, 8064, 282, 7305, 590, 273, 267, 4737, 476, 14838, 1070, 799, 941, 849, 2318, 855, 711, 19250, 1713, 269, 2353, 824, 2825, 21500, 1185, 2147, 9243, 2360, 593, 13662, 293, 630, 335, 3436, 476, 271, 269, 4962, 585, 782, 824, 2022, 3620, 665, 16198, 1040, 1284, 941, 8572, 547, 5659, 2360, 540, 1114, 2825, 21500, 593, 1114, 13662, 293, 3037, 6354, 2827, 1813, 547, 3668, 540, 6190, 2090, 269, 1703, 729, 1100, 2489, 1198, 540, 13662, 293, 609, 2825, 19717, 630, 8201, 476, 272, 289, 282, 533, 815, 476, 271, 269, 3199, 282, 7305, 590, 273, 267, 4737, 476, 24241, 1070, 543, 972, 941, 1100, 19717, 10391, 3604, 630, 304, 300, 815, 476, 271, 269, 3393, 267, 533, 815, 476, 271, 269, 3199, 282, 7305, 590, 273, 267, 9343, 476, 25546, 268, 13136, 1040, 7233, 27940, 2812, 3049, 10587, 941, 711, 9168, 676, 3595, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 8618, 282, 7305, 590, 273, 267, 4737, 476, 25546, 264, 610, 14324, 15606, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 5780, 282, 7305, 590, 273, 267, 4737, 476, 13136, 1040, 1452, 18063, 1185, 2147, 9243, 2360, 593, 13662, 22661, 630, 395, 485, 273, 815, 476, 271, 269, 2412, 267, 533, 815, 476, 271, 269, 7871, 282, 7305, 590, 273, 267, 4737, 476, 30116, 1040, 5940, 7875, 766, 2360, 593, 1114, 13662, 293, 3037, 6354, 2827, 1223, 711, 581, 2417, 21630, 1813, 547, 519, 1970, 1297, 540, 2090, 563, 2710, 519, 12186, 540, 13662, 293, 543, 595, 4149, 5937, 966, 776, 9737, 10613, 13242, 547, 18430, 13662, 293, 3194, 888, 15371, 519, 4603, 729, 5342, 538, 519, 2361, 610, 8511, 12012, 519, 2360, 540, 6735, 543, 2566, 593, 2030, 2208, 267, 855, 711, 519, 1198, 540, 13662, 293, 630, 8201, 476, 274, 288, 1040, 1703, 729, 1100, 3017, 538, 519, 2360, 540, 2476, 8410, 1288, 539, 5288, 269, 1753, 8410, 1288, 539, 11934, 630, 395, 485, 273, 815, 476, 271, 269, 2190, 267, 533, 815, 476, 271, 269, 7830, 282, 7305, 590, 273, 267, 4737, 476, 9818, 264, 610, 3309, 5288, 269, 1875, 1673, 5744, 11934, 630, 395, 485, 273, 815, 476, 273, 269, 8618, 267, 533, 815, 476, 271, 269, 1556, 282, 7305, 590, 273, 267, 4737, 476, 10755, 264, 593, 2030, 2208, 1063, 2090, 1141, 519, 5955, 5123, 7018, 538, 519, 2361, 610, 8511, 269, 5525, 602, 1031, 2661, 543, 25062, 11934, 607, 519, 3037, 5955, 12879, 941, 1152, 5342, 538, 519, 8511, 269, 17957, 267, 6735, 4389, 2030, 2208, 950, 2371, 941, 6738, 538, 519, 2361, 630, 8201, 476, 274, 288, 282, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 5655, 264, 543, 519, 8511, 630, 8201, 476, 274, 288, 282, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 6246, 1070, 855, 519, 1198, 729, 476, 15946, 260, 6793, 538, 2361, 6901, 982, 8511, 6901, 630, 395, 485, 273, 815, 476, 4366, 269, 2641, 267, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 14338, 1040, 901, 7678, 729, 9141, 676, 4805, 14121, 6320, 6735, 2090, 1317, 954, 270, 842, 571, 10391, 6735, 2090, 941, 1152, 5342, 538, 519, 8511, 269, 8307, 21737, 17017, 321, 643, 800, 2566, 729, 5342, 538, 1312, 8511, 543, 2361, 5468, 267, 543, 3976, 621, 729, 519, 1152, 2566, 528, 649, 1223, 5659, 1063, 4603, 4087, 269, 3400, 4506, 17017, 321, 643, 800, 2566, 8476, 2030, 2208, 538, 519, 8511, 630, 8201, 476, 274, 288, 282, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 10170, 1070, 6466, 922, 2360, 593, 2030, 2208, 941, 9243, 538, 2361, 6901, 630, 8201, 476, 274, 288, 282, 533, 815, 476, 271, 269, 4366, 282, 7305, 590, 273, 267, 4737, 476, 3583, 1040, 3400, 4506, 17017, 321, 643, 800, 2566, 8476, 2030, 2208, 936, 476, 4968, 260, 811, 538, 8511, 6901, 982, 538, 2361, 6901, 630, 8201, 476, 274, 288, 282, 6543, 485, 273, 815, 476, 1556, 269, 4029, 267, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 14991, 1040, 5940, 7875, 766, 2090, 941, 1152, 7318, 538, 8511, 2175, 563, 8201, 476, 274, 269, 630, 288, 264, 6301, 2360, 540, 13662, 293, 267, 6735, 267, 2566, 267, 543, 19717, 543, 630, 289, 264, 5872, 2360, 540, 13662, 293, 1535, 6735, 543, 13662, 293, 1535, 2566, 1063, 2361, 543, 8511, 6901, 269, 19983, 2360, 540, 13662, 293, 1535, 6735, 543, 13662, 293, 1535, 2566, 616, 30714, 2066, 3037, 6354, 2827, 630, 331, 633, 270, 3122, 850, 267, 2476, 10774, 727, 267, 15860, 11721, 2426, 8336, 264, 543, 2066, 6735, 543, 2566, 6354, 2827, 269, 18438, 13063, 2099, 2539, 543, 5580, 23451, 540, 519, 6015, 11996, 269, 589, 3122, 529, 802, 5815, 1198, 7306, 3648, 1114, 689, 4642, 563, 763, 4205, 1063, 13662, 293, 543, 6735, 941, 9243, 538, 1312, 2361, 543, 8511, 6901, 630, 8201, 476, 274, 289, 282, 1627, 300, 815, 476, 273, 269, 7367, 267, 533, 815, 476, 271, 269, 2764, 282, 7305, 590, 273, 267, 9343, 476, 8687, 268, 9264, 264, 543, 2022, 3620, 665, 2079, 4951, 602, 891, 2360, 941, 2147, 1063, 2361, 543, 8511, 6901, 630, 395, 485, 273, 815, 476, 271, 269, 4817, 267, 533, 815, 476, 271, 269, 3451, 282, 7305, 590, 273, 267, 4737, 476, 25090, 1040, 2552, 9009, 547, 519, 4466, 602, 519, 1292, 1198, 540, 21737, 17017, 321, 643, 800, 729, 1152, 2318, 538, 8511, 6901, 267, 972, 729, 513, 5348, 1120, 2065, 1198, 540, 13662, 293, 543, 21737, 17017, 321, 643, 800, 1152, 538, 2361, 6901, 630, 8201, 476, 274, 289, 282, 533, 815, 476, 271, 269, 6860, 282, 7305, 590, 273, 267, 4737, 476, 1708, 1040, 769, 824, 1913, 267, 2476, 8410, 1288, 539, 267, 3742, 610, 3309, 3037, 8476, 2030, 2208, 896, 21737, 17017, 321, 643, 800, 538, 2361, 6901, 269, 1717, 267, 2022, 3620, 665, 2079, 4951, 602, 519, 5872, 540, 13662, 293, 543, 21737, 17017, 321, 643, 800, 538, 2361, 6901, 729, 711, 3648, 1114, 982, 519, 9243, 1198, 540, 13662, 293, 543, 21737, 17017, 321, 643, 800, 538, 8511, 6901, 630, 395, 485, 273, 815, 476, 273, 269, 4097, 267, 533, 815, 476, 271, 269, 1724, 282, 7305, 590, 273, 267, 4737, 476, 28803, 1040, 5940, 7875, 766, 4205, 609, 13662, 22661, 941, 1152, 7318, 538, 8511, 2175, 563, 1103, 2489, 267, 3037, 26912, 4918, 14555, 2707, 9168, 519, 1198, 540, 13662, 293, 593, 2030, 2208, 630, 8201, 476, 275, 288, 282, 1627, 300, 815, 476, 4097, 269, 11152, 267, 533, 2999, 476, 271, 269, 1822, 272, 282, 7305, 590, 273, 267, 9343, 476, 2537, 268, 2190, 1040, 589, 3118, 8410, 1288, 539, 267, 3742, 267, 610, 3309, 3037, 4389, 2030, 2208, 950, 3037, 26912, 4918, 729, 31411, 538, 519, 2361, 630, 8201, 476, 275, 288, 282, 533, 2999, 476, 271, 269, 1822, 272, 282, 7305, 590, 273, 267, 4737, 476, 2537, 264, 543, 8476, 2030, 2208, 950, 3037, 26912, 4918, 729, 31411, 538, 519, 8511, 630, 8201, 476, 275, 288, 282, 533, 815, 476, 271, 269, 23669, 282, 7305, 590, 273, 267, 4737, 476, 2190, 1040, 634, 1585, 3037, 5955, 6354, 2827, 849, 15527, 8335, 4470, 593, 519, 2707, 540, 519, 14555, 5123, 269, 15765, 3037, 4389, 2030, 2208, 950, 31411, 538, 519, 2361, 630, 335, 815, 476, 271, 269, 6734, 282, 7305, 590, 273, 267, 4737, 476, 2918, 264, 855, 1185, 1100, 1198, 593, 2030, 2208, 950, 31411, 538, 519, 8511, 630, 335, 815, 476, 271, 269, 2412, 282, 7305, 590, 273, 267, 4737, 476, 2767, 1040, 634, 2360, 540, 2476, 8410, 1288, 539, 3037, 593, 2030, 2208, 1705, 711, 4268, 1063, 2361, 8410, 1288, 539, 630, 335, 815, 476, 271, 269, 736, 282, 7305, 590, 273, 267, 4737, 476, 3066, 264, 610, 8511, 8410, 1288, 539, 3037, 630, 335, 815, 476, 271, 269, 2004, 282, 7305, 590, 273, 267, 4737, 476, 1789, 1916, 8201, 476, 275, 269, 630, 288, 264, 6301, 2360, 540, 13662, 293, 267, 6735, 267, 2566, 267, 543, 19717, 543, 630, 289, 264, 5872, 2360, 540, 13662, 293, 1535, 6735, 543, 13662, 293, 1535, 2566, 1063, 2361, 8410, 1288, 539, 543, 8511, 8410, 1288, 539, 3037, 26912, 4918, 269, 19983, 2360, 540, 13662, 293, 1535, 6735, 543, 13662, 293, 1535, 2566, 616, 30714, 2066, 3037, 6354, 2827, 630, 331, 633, 270, 3122, 850, 267, 2476, 10774, 727, 267, 15860, 11721, 2426, 8336, 264, 543, 2066, 6735, 543, 2566, 6354, 2827, 269, 18438, 13063, 2099, 2539, 543, 5580, 23451, 540, 519, 6015, 11996, 269, 589, 3122, 529, 802, 5815, 1198, 7306, 3648, 1114, 689, 4642, 563, 763, 5872, 540, 13662, 293, 543, 6735, 729, 13974, 9243, 1063, 6901, 602, 1031, 2361, 8410, 1288, 539, 543, 8511, 8410, 1288, 539, 26912, 4918, 630, 8201, 476, 275, 289, 282, 6543, 485, 273, 815, 476, 271, 269, 6860, 267, 533, 815, 476, 271, 269, 10019, 282, 7305, 590, 273, 267, 4737, 476, 26316, 1040, 769, 2489, 267, 519, 5872, 540, 13662, 293, 543, 2825, 2566, 729, 5594, 5348, 1120, 2065, 950, 3037, 26912, 4918, 729, 31411, 538, 519, 2361, 630, 8201, 476, 275, 289, 282, 1627, 300, 815, 476, 275, 269, 10844, 267, 533, 815, 476, 271, 269, 5400, 282, 7305, 590, 273, 267, 4737, 476, 13078, 1040, 901, 7678, 729, 2693, 9141, 676, 10980, 267, 22289, 267, 543, 21737, 17017, 321, 643, 800, 2090, 538, 799, 519, 3328, 2360, 540, 13662, 293, 543, 1142, 540, 891, 21500, 729, 2318, 267, 1498, 711, 19250, 1713, 269, 1717, 267, 2022, 3620, 665, 2079, 4951, 602, 519, 5872, 540, 13662, 293, 543, 2566, 609, 2361, 8410, 1288, 539, 3037, 26912, 4918, 729, 711, 3648, 1114, 982, 519, 9243, 1198, 540, 13662, 293, 543, 2566, 609, 8511, 8410, 1288, 539, 3037, 26912, 4918, 630, 395, 485, 273, 815, 476, 271, 269, 7367, 267, 533, 815, 476, 271, 269, 5325, 282, 7305, 590, 273, 267, 4737, 476, 17734, 1040, 17957, 267, 519, 5872, 540, 13662, 293, 543, 5599, 2566, 729, 5594, 5348, 1120, 2065, 950, 3037, 729, 31411, 538, 519, 8511, 630, 304, 300, 815, 476, 275, 269, 10463, 267, 533, 815, 476, 271, 269, 6021, 282, 7305, 590, 273, 267, 4737, 476, 21497, 1040, 589, 3118, 8410, 1288, 539, 267, 3742, 267, 610, 3309, 3037, 8476, 2030, 2208, 476, 4968, 260, 811, 896, 5599, 2566, 950, 3037, 26912, 4918, 729, 31411, 538, 519, 8511, 2864, 982, 31411, 538, 519, 2361, 630, 395, 485, 273, 815, 476, 274, 269, 10037, 267, 533, 815, 476, 271, 269, 4962, 282, 7305, 590, 273, 267, 4737, 476, 28510, 1040, 5525, 602, 26203, 2837, 941, 711, 3769, 538, 713, 2079, 607, 891, 2090, 1152, 3769, 8511, 8410, 1288, 539, 3037, 563, 1103, 2489, 267, 938, 13849, 20400, 7000, 1271, 3270, 602, 949, 5351, 11236, 540, 13662, 293, 896, 2067, 610, 2361, 2175, 1141, 2030, 268, 8690, 6735, 543, 2825, 21500, 616, 1455 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16475, 609, 524, 32292, 601, 888, 31690, 5060, 16475, 568, 519, 6074, 1106, 540, 1357, 1374, 16475, 8665, 269, 3509, 9367, 4096, 593, 524, 32292, 601, 547, 6023, 741, 16475, 3135, 269, 634, 524, 32292, 601, 1599, 568, 1031, 547, 8897, 519, 4881, 540, 519, 12380, 3760, 269, 2060, 524, 32292, 601, 267, 596, 666, 10375, 569, 4383, 782, 707, 5752, 2238, 538, 835, 1747, 269, 8713, 534, 601, 5673, 593, 1079, 1114, 17103, 281, 519, 3593, 8818, 543, 519, 1357, 3984, 23070, 269, 1411, 666, 15476, 7270, 267, 1852, 11890, 267, 1628, 4757, 6589, 267, 4558, 6119, 267, 543, 811, 609, 524, 32292, 601, 563, 9573, 534, 601, 568, 513, 3791, 5428, 1907, 267, 855, 16475, 7426, 666, 1683, 621, 538, 741, 3984, 15004, 269, 2368, 7426, 2709, 513, 6539, 602, 2488, 513, 524, 32292, 601, 779, 21370, 3593, 8818, 630, 294, 21397, 264, 585, 12380, 16475, 4566, 269, 1411, 849, 723, 519, 4781, 540, 23842, 31964, 609, 524, 32292, 601, 563, 20360, 3298, 5288, 269, 12380, 16475, 454, 21008, 532, 2773, 267, 10727, 267, 4027, 267, 543, 8897, 540, 946, 1131, 711, 2285, 596, 513, 2241, 13525, 540, 799, 3760, 568, 1732, 269, 634, 1483, 2601, 1946, 1082, 1357, 16984, 8359, 12380, 607, 741, 16475, 3760, 568, 519, 2186, 540, 6119, 543, 3252, 789, 20053, 547, 946, 269, 1403, 519, 3896, 3096, 6789, 303, 11783, 25892, 267, 9786, 7457, 267, 610, 9786, 14069, 18218, 6119, 267, 621, 1131, 991, 547, 581, 18799, 593, 519, 8837, 3760, 269, 3509, 824, 3758, 3029, 1107, 23285, 267, 5124, 267, 31964, 267, 3733, 21415, 267, 3092, 269, 1107, 666, 581, 2196, 1256, 811, 7561, 593, 513, 12380, 2861, 1357, 7746, 269, 1452, 6119, 616, 2907, 5665, 593, 513, 8837, 1357, 7746, 267, 855, 519, 12380, 3760, 568, 27358, 547, 960, 2047, 585, 891, 1239, 2010, 563, 13828, 5867, 798, 946, 14103, 6119, 543, 1224, 873, 538, 519, 1482, 6073, 267, 799, 5849, 602, 1034, 3044, 7270, 666, 1599, 1510, 1022, 1689, 13546, 11797, 269, 634, 1152, 3017, 1063, 1210, 12380, 543, 8837, 568, 513, 3099, 540, 3758, 2010, 267, 855, 950, 621, 2501, 547, 3902, 267, 12380, 568, 519, 1034, 1455, 4244, 1851, 1357, 16475, 7426, 563, 25387, 267, 3755, 1810, 1406, 723, 519, 4781, 547, 946, 519, 5665, 1062, 540, 741, 1357, 16475, 3028, 269, 769, 1034, 8320, 267, 713, 4781, 568, 1500, 585, 873, 267, 1317, 621, 568, 513, 12380, 16475, 1544, 269, 1717, 267, 538, 930, 2665, 267, 596, 666, 1265, 1357, 16475, 2533, 602, 1683, 513, 8837, 2861, 3760, 602, 2055, 799, 3760, 568, 1732, 563, 763, 29373, 1063, 519, 1079, 568, 6038, 11911, 547, 519, 10342, 2139, 547, 6800, 269, 898, 568, 711, 513, 2339, 540, 32636, 610, 8897, 540, 946, 547, 3442, 835, 936, 519, 824, 269, 2368, 3755, 4250, 602, 1210, 513, 7746, 593, 741, 1753, 2780, 824, 982, 741, 1357, 3984, 1131, 1267, 538, 2773, 2042, 543, 1118, 519, 3896, 8035, 762, 267, 855, 4986, 593, 519, 1357, 16475, 1062, 1131, 581, 2877, 547, 2196, 593, 707, 2780, 269, 17972, 4881, 593, 513, 12380, 3896, 1590, 581, 16887, 2966, 547, 2196, 593, 621, 543, 949, 711, 581, 519, 1482, 3301, 4881, 593, 707, 1753, 3684, 267, 1317, 596, 1810, 1406, 991, 547, 946, 12380, 2907, 563, 2252, 596, 4076, 12926, 1044, 513, 8837, 3593, 267, 543, 596, 3494, 621, 779, 2469, 547, 581, 4443, 547, 723, 513, 8837, 1357, 16475, 2272, 267, 602, 779, 1175, 606, 25619, 6644, 269, 589, 1357, 16475, 2272, 4881, 593, 8837, 1281, 711, 1611, 602, 596, 666, 1294, 513, 1376, 10624, 7735, 610, 513, 18376, 12835, 269, 589, 1357, 16475, 7746, 3085, 1406, 1413, 899, 602, 267, 1256, 1498, 621, 779, 5665, 8837, 269, 634, 3593, 1995, 540, 519, 12380, 16475, 2272, 1131, 581, 519, 1482, 607, 519, 8837, 2272, 269, 0, 7628, 1250, 1153, 17058, 538, 918, 13083, 1092, 538, 519, 2034, 3368, 540, 519, 476, 3422, 271, 338, 267, 1034, 14786, 3370, 14412, 4303, 9360, 269, 589, 20443, 4183, 540, 891, 9360, 729, 513, 2243, 281, 568, 3487, 819, 26464, 888, 763, 2243, 729, 24669, 269, 12344, 5266, 29462, 676, 519, 1964, 540, 3127, 585, 7247, 3487, 819, 2443, 543, 519, 3520, 5558, 2404, 609, 621, 2443, 729, 21246, 958, 513, 3345, 4095, 1995, 269, 634, 4013, 3965, 540, 3487, 819, 1185, 721, 3494, 602, 621, 729, 519, 608, 21402, 540, 27734, 543, 27566, 338, 689, 7262, 23570, 543, 590, 785, 602, 729, 782, 1271, 269, 4427, 2425, 550, 3332, 4098, 689, 10609, 2313, 342, 656, 19453, 779, 21541, 547, 9031, 543, 25759, 609, 519, 751, 4582, 2213, 4528, 540, 23111, 553, 538, 519, 3735, 268, 2735, 271, 338, 267, 546, 342, 3881, 693, 3259, 609, 519, 26481, 949, 1335, 602, 4553, 519, 5373, 540, 519, 7101, 743, 858, 324, 7412, 538, 835, 851, 540, 3127, 563, 763, 6161, 729, 16048, 269, 1717, 267, 972, 729, 1776, 3487, 819, 538, 9456, 3127, 602, 3238, 19377, 543, 20109, 513, 7944, 540, 2667, 600, 269, 2334, 3487, 819, 1185, 922, 1378, 6384, 269, 634, 608, 21402, 540, 27734, 689, 5101, 9031, 547, 4639, 19377, 267, 585, 1383, 267, 4769, 1406, 4755, 782, 693, 2899, 855, 7018, 538, 11775, 543, 568, 1869, 5571, 269, 1717, 267, 602, 1995, 729, 1312, 896, 1673, 29545, 543, 9763, 609, 5266, 1447, 8515, 676, 519, 6554, 540, 26836, 1695, 22611, 531, 3026, 327, 745, 269, 19377, 529, 759, 5034, 713, 25641, 2126, 543, 267, 538, 519, 1184, 267, 2919, 606, 4550, 31588, 516, 14820, 602, 1869, 26251, 547, 713, 1554, 269, 634, 20494, 341, 1734, 941, 5402, 10114, 3293, 676, 267, 1101, 267, 519, 19797, 3350, 543, 267, 13604, 267, 676, 519, 6237, 5428, 602, 1631, 3652, 4639, 19377, 563, 289, 5802, 569, 6340, 267, 713, 729, 519, 2796, 540, 519, 1585, 4930, 602, 6743, 547, 513, 1554, 950, 519, 1079, 15622, 1023, 1223, 581, 556, 10595, 1243, 543, 519, 27734, 540, 9456, 19377, 1223, 2132, 547, 519, 2244, 540, 741, 2062, 15289, 338, 269, 4438, 519, 2196, 5346, 547, 519, 16273, 2112, 267, 713, 20772, 729, 693, 922, 8445, 269, 898, 729, 1152, 1310, 476, 3192, 273, 543, 519, 5250, 540, 519, 1007, 2197, 602, 621, 2968, 1582, 17272, 1211, 602, 13059, 547, 741, 19644, 9456, 19377, 729, 1631, 606, 791, 1601, 2225, 269, 769, 519, 7766, 2947, 5756, 267, 519, 6161, 3884, 1406, 827, 513, 2132, 543, 22653, 2305, 855, 513, 5855, 602, 4639, 19377, 786, 581, 9927, 883, 513, 4639, 16273, 543, 602, 782, 786, 581, 4503, 585, 19377, 779, 9699, 2551, 563, 763, 5855, 949, 3100, 838, 21874, 547, 1082, 945, 3100, 14955, 1356, 2740, 676, 519, 3500, 15295, 7004, 540, 519, 3557, 267, 855, 621, 1131, 581, 1250, 8084, 547, 14962, 922, 3395, 3180, 593, 519, 14820, 540, 19377, 269, 769, 2395, 547, 2097, 267, 713, 568, 3808, 547, 3310, 2797, 5447, 906, 538, 519, 3557, 1256, 811, 25340, 563, 763, 2856, 540, 513, 4503, 1158, 568, 2141, 2352, 585, 2950, 547, 7558, 269, 1703, 616, 1082, 9082, 585, 7247, 519, 2243, 540, 2132, 547, 519, 2244, 540, 741, 2062, 15289, 338, 568, 1631, 606, 791, 1601, 2225, 269, 634, 16586, 689, 590, 3796, 807, 543, 5101, 2398, 17892, 941, 17801, 1227, 18274, 539, 1310, 476, 3707, 276, 543, 519, 3338, 759, 9116, 1194, 609, 2717, 525, 269, 634, 16586, 540, 14181, 564, 523, 1633, 1932, 11124, 519, 1482, 12556, 269, 27819, 1079, 22188, 540, 1018, 729, 21640, 1991, 547, 476, 4489, 279, 1793, 5792, 856, 540, 1852, 1310, 519, 4708, 14097, 269, 9699, 590, 785, 20130, 267, 24903, 835, 540, 519, 1034, 29426, 2950, 540, 3127, 267, 616, 2221, 513, 1004, 1510, 513, 2244, 269, 1703, 616, 12194, 602, 971, 513, 12556, 1223, 7753, 519, 6805, 9082, 540, 519, 932, 8636, 698, 784, 10830, 570, 847, 338, 563, 763, 791, 1601, 2225, 540, 2132, 585, 1346, 945, 19679, 593, 2272, 540, 741, 5132, 543, 14940, 568, 31903, 676, 519, 7004, 540, 519, 3312, 4630, 601, 1343, 269, 7831, 3018, 267, 594, 1224, 513, 5048, 689, 513, 15622, 8932, 9699, 561, 3512, 532, 519, 2530, 540, 513, 918, 8932, 11454, 538, 7195, 1276, 6017, 602, 26328, 513, 2027, 1747, 538, 519, 12271, 540, 19377, 529, 269, 634, 11454, 568, 1869, 538, 6228, 543, 267, 27229, 267, 972, 568, 513, 5033, 4565, 766, 540, 10847, 602, 568, 11173, 2443, 693, 2547, 593, 2027, 14026, 269, 1809, 519, 2856, 540, 513, 11454, 602, 6818, 538, 519, 22984, 540, 513, 2146, 540, 26902, 26802, 814, 8854, 11014, 269, 1703, 616, 1175, 1100, 27734, 2451, 538, 7195, 1276, 6017, 543, 519, 11454, 814, 1044, 4389, 547, 513, 882, 545, 540, 513, 676, 19079, 2085, 269, 3465, 636, 2406, 267, 713, 568, 2693, 547, 581, 519, 12556, 540, 519, 575, 6324, 8705, 553, 538, 918, 5429, 2094, 519, 608, 21402, 540, 519, 3003, 27566, 2146, 689, 15787, 568, 513, 2339, 540, 942, 563, 763, 2013, 540, 1018, 729, 2899, 5219, 547, 607, 918, 2378, 597, 6017, 538, 15787, 568, 3226, 4277, 269, 7377, 4327, 676, 9082, 945, 941, 17801, 1227, 1114, 689, 2279, 724, 753, 538, 30240, 13102, 267, 519, 9082, 540, 918, 2378, 597, 6017, 4553, 3909, 2853, 602, 941, 19918, 741, 1378, 543, 7948, 1406, 581, 561, 22981, 883, 519, 824, 22555, 5132, 338, 540, 519, 3148, 269, 901, 729, 519, 3510, 2394, 4571, 268, 736, 628, 2540, 950, 27685, 1235, 689, 9031, 609, 519, 5351, 540, 1533, 1379, 15841, 513, 5859, 547, 2490, 918, 2378, 597, 6017, 883, 606, 9099, 10093, 269, 634, 3148, 729, 26948, 715, 584, 6017, 543, 519, 9082, 711, 1152, 17947, 5771, 855, 2968, 922, 1034, 10178, 520, 673, 13794, 269, 1323, 3003, 2528, 20374, 563, 2467, 616, 2043, 945, 1869, 7038, 18765, 540, 606, 22638, 22653, 2305, 540, 519, 1016, 29657, 269, 634, 27742, 602, 3391, 891, 9909, 616, 3288, 644, 762, 543, 267, 952, 4986, 267, 3895, 513, 2143, 1353, 540, 1686, 543, 1256, 12667, 4831, 2399, 783, 1686, 269, 1717, 267, 15738, 547, 519, 22653, 2305, 540, 519, 1079, 4436, 903, 1310, 476, 3393, 1296, 540, 9668, 3884, 1406, 4051, 633, 269, 634, 6498, 540, 5125, 1310, 476, 3707, 276, 729, 2797, 269, 1809, 621, 7012, 1406, 10483, 676, 513, 2686, 11634, 1143, 269, 1879, 513, 2686, 11634, 1143, 267, 607, 814, 5949, 1063, 3127, 543, 9031, 267, 610, 606, 6803, 556, 867, 1359, 267, 607, 5949, 538, 5125, 779, 5449, 9456, 11182, 267, 3217, 1747, 267, 513, 2132, 547, 606, 7329, 22690, 545, 2250, 3587, 606, 791, 1601, 2225, 563, 296, 337, 1042, 550, 1143, 568, 11509, 543, 538, 4686, 2665, 519, 9583, 7543, 568, 1500, 547, 4755, 269, 1809, 538, 1034, 2665, 513, 1007, 3339, 3587, 26464, 563, 2467, 568, 513, 2013, 585, 4974, 519, 1686, 540, 519, 3487, 819, 540, 3127, 543, 1256, 1527, 1746, 689, 519, 9073, 8149, 676, 519, 2797, 5718, 269, 1717, 267, 547, 4126, 602, 519, 9219, 540, 1686, 666, 581, 5828, 1394, 568, 513, 10398, 539, 3195, 269, 2311, 1655, 649, 666, 2161, 8550, 11088, 269, 0, 288, 4756, 568, 513, 2012, 2016, 547, 513, 4859, 1858, 602, 938, 3292, 666, 13861, 269, 3962, 4756, 538, 595, 258, 814, 513, 1808, 1826, 267, 799, 11887, 519, 2450, 543, 11768, 540, 519, 4756, 781, 3965, 519, 2039, 540, 2418, 602, 666, 581, 6740, 1369, 602, 3965, 543, 519, 1305, 540, 4238, 602, 666, 581, 4294, 547, 519, 4756, 563, 763, 4632, 538, 595, 258, 267, 616, 19040, 883, 519, 1739, 2010, 281, 10025, 267, 13129, 543, 7313, 5793, 2010, 563, 19368, 1826, 4632, 666, 581, 8655, 513, 1871, 2047, 269, 1358, 616, 6508, 689, 519, 1362, 1062, 269, 19368, 13911, 563, 763, 4704, 2010, 798, 711, 2270, 519, 4890, 1239, 6740, 538, 513, 4756, 267, 855, 789, 2270, 513, 4704, 547, 519, 4632, 563, 8794, 2789, 4632, 267, 519, 4704, 2010, 666, 3277, 547, 513, 3965, 4087, 269, 1403, 519, 1239, 538, 519, 3965, 4087, 568, 4957, 676, 835, 540, 519, 4632, 267, 519, 824, 4756, 8850, 9356, 713, 1689, 538, 1871, 269, 7151, 540, 3710, 2987, 4704, 2010, 616, 281, 1843, 267, 6422, 267, 543, 5569, 563, 22437, 5793, 1826, 4632, 4558, 519, 3965, 2232, 540, 1776, 1826, 563, 2304, 11346, 568, 513, 3090, 602, 6645, 519, 29085, 547, 1685, 1808, 6310, 610, 9266, 6354, 2827, 563, 763, 1739, 616, 519, 12427, 6567, 0, 301, 328, 826, 2506, 12568, 543, 26790, 454, 347, 301 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2907, 513, 1883, 538, 519, 9598, 454, 2018, 952, 3186, 711, 538, 1582, 3052, 1429, 912, 3546, 1948, 1039, 519, 3186, 607, 513, 1883, 538, 519, 3113, 9598, 543, 1577, 922, 1871, 581, 513, 9598, 454, 3546, 1582, 3052, 1429, 314, 323, 652, 316, 815, 31460, 3546, 1948, 538, 519, 3186, 9598, 1039, 519, 3186, 607, 513, 1883, 543, 1305, 922, 1871, 547, 519, 1942, 5293, 883, 519, 8044, 618, 454, 3546, 1582, 3052, 1429, 314, 323, 652, 6012, 338, 21683, 316, 815, 1942, 692, 2018, 1948, 1100, 991, 547, 1039, 519, 521, 21683, 607, 513, 1883, 865, 1175, 1039, 519, 3186, 543, 1942, 547, 519, 521, 21683, 9598, 454, 2018, 3116, 912, 3546, 1582, 3052, 1429, 314, 323, 652, 6012, 338, 21683, 316, 815, 1942, 454, 1038, 1948, 1039, 519, 2707, 543, 10278, 883, 14622, 547, 1065, 525, 550, 602, 789, 616, 1312, 31425, 538, 519, 3113, 454, 1038, 1582, 269, 3200, 1182, 14491, 4433, 21683, 994, 1038, 1582, 269, 3200, 1182, 14491, 5560, 652, 2020, 825, 1948, 1505, 1031, 547, 4159, 519, 3113, 607, 513, 8642, 454, 825, 1219, 4159, 14682, 1429, 4311, 17107, 1038, 1948, 1711, 513, 9859, 3113, 454, 1038, 4159, 815, 3060, 343, 6185, 328, 20877, 10797, 1038, 1948, 31467, 998, 782, 519, 31425, 543, 1039, 873, 607, 513, 6843, 538, 519, 9859, 3113, 454, 1038, 585, 14584, 538, 1582, 269, 3200, 1182, 912, 2018, 4159, 14491, 17045, 263, 591, 23753, 2020, 1038, 1948, 8520, 998, 782, 519, 10569, 4433, 1545, 264, 9598, 538, 519, 3113, 9598, 543, 1039, 519, 521, 21683, 910, 3186, 607, 606, 6316, 543, 519, 1942, 607, 513, 561, 762, 547, 519, 9859, 3113, 454, 1038, 585, 521, 21683, 538, 1582, 3052, 1429, 912, 2018, 585, 3186, 538, 1582, 3052, 1429, 314, 338, 21683, 14158, 3546, 4159, 14491, 318, 8354, 4433, 21683, 267, 3186, 267, 2597, 284, 1345, 3052, 1429, 314, 338, 21683, 6012, 323, 652, 20285, 1038, 1948, 1247, 8520, 547, 7227, 585, 519, 3593, 547, 5734, 4283, 547, 3136, 454, 1038, 1247, 6936, 1384, 2018, 1948, 2990, 519, 9136, 1510, 6316, 28963, 454, 2018, 1064, 815, 3060, 343, 269, 17839, 541, 9078, 599, 719, 263, 5891, 2020, 2018, 1948, 561, 762, 519, 8728, 609, 519, 1942, 689, 521, 21683, 547, 3186, 454, 2018, 10297, 815, 3060, 343, 10947, 318, 8354, 318, 3430, 1026, 2373, 263, 5891, 267, 834, 7076, 15419, 2018, 1948, 2721, 519, 9136, 540, 519, 11708, 1759, 593, 519, 2990, 3989, 4505, 454, 2018, 3060, 343, 6155, 3863, 263, 5891, 267, 1064, 267, 609, 9078, 629, 1564, 18989, 267, 6843, 15481, 284, 4335, 267, 6843, 318, 10233, 6889, 1042, 2580, 21985, 1125, 284, 1428, 2020, 2018, 1948, 2721, 519, 8728, 540, 519, 3113, 1759, 593, 519, 2990, 3989, 4505, 454, 2018, 3060, 343, 6155, 3863, 5332, 564, 1740, 343, 318, 8354, 9078, 629, 1564, 263, 5891, 267, 1064, 267, 6316, 9078, 629, 1564, 284, 18350, 1564, 2020, 2018, 1948, 4159, 519, 3113, 543, 1450, 519, 1982, 547, 3136, 454, 2018, 12301, 20481, 263, 23026, 25716, 2020, 2018, 1948, 23249, 519, 1982, 11056, 865, 602, 519, 3113, 823, 666, 581, 21235, 454, 2018, 12301, 4877, 1021, 263, 269, 272, 994, 2018, 1775, 815, 3403, 2891, 303, 2313, 4283, 547, 3136, 15419, 2018, 1948, 2312, 519, 8642, 454, 2018, 12301, 17085, 325, 10797, 2018, 1948, 2736, 519, 8520, 950, 3403, 568, 3177, 454, 2018, 952, 711, 1775, 912, 3546, 2736, 692, 3698, 1292, 10031, 825, 3113, 815, 8641, 10797, 825, 12693, 1133, 1260, 618, 519, 1899, 2630, 547, 5512, 796, 573, 27399, 3113, 12693, 454, 825, 1948, 23054, 18994, 289, 573, 27399, 815, 8771, 692, 825, 3113, 14491, 318, 8354, 2891, 320, 2580, 834, 321, 2580, 476, 278, 994, 825, 3113, 14491, 318, 8354, 2891, 320, 2580, 834, 322, 2580, 476, 280, 994, 825, 3113, 14491, 318, 8354, 2891, 320, 2580, 834, 325, 2580, 476, 1691, 994, 825, 3113, 14491, 318, 8354, 2891, 321, 2580, 834, 322, 2580, 476, 1015, 994, 825, 3113, 14491, 318, 8354, 2891, 321, 2580, 834, 323, 2580, 476, 1428, 994, 825, 3113, 14491, 318, 8354, 2891, 322, 2580, 834, 323, 2580, 476, 1556, 994, 825, 3113, 14491, 318, 8354, 2891, 322, 2580, 834, 325, 2580, 476, 273, 994, 825, 3113, 14491, 318, 8354, 2891, 322, 2580, 834, 326, 2580, 476, 277, 994, 825, 3113, 14491, 318, 8354, 2891, 323, 2580, 834, 324, 2580, 476, 277, 994, 825, 3113, 14491, 318, 8354, 2891, 324, 2580, 834, 325, 2580, 476, 280, 2020, 825, 18760, 815, 22748, 614, 2891, 320, 2580, 3113, 994, 825, 18760, 10947, 24786, 2891, 325, 5602, 825, 18760, 31428, 318, 709, 1154, 4671, 762, 4590, 825, 3113, 269, 5891, 14682, 1429, 10797, 825, 18760, 4671, 6851, 815, 22748, 614, 2891, 321, 2580, 3113, 994, 825, 18760, 31927, 318, 709, 614, 2891, 322, 5602, 825, 18760, 4671, 6851, 31428, 318, 709, 1154, 4671, 762, 4590, 825, 3113, 269, 5891, 14682, 1429, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 5814, 19523, 692, 258, 901, 3009, 14509, 538, 7440, 543, 17838, 1346, 11378, 547, 8918, 2338, 454, 14140, 20311, 815, 10581, 4433, 903, 27769, 341, 314, 272, 7481, 16149, 20311, 815, 10581, 4433, 903, 27769, 341, 314, 273, 20285, 258, 2659, 3009, 4422, 1934, 2336, 14310, 23544, 815, 1101, 20311, 1341, 2034, 20311, 454, 14310, 5091, 29924, 815, 1101, 20311, 910, 2034, 20311, 454, 14310, 7272, 6055, 815, 1101, 20311, 2608, 2034, 20311, 454, 14310, 318, 638, 582, 1304, 815, 1101, 20311, 270, 16149, 20311, 454, 2745, 6600, 257, 346, 14140, 20311, 348, 7132, 2715, 16149, 20311, 348, 11224, 2715, 14310, 23544, 348, 5602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1158, 1927, 2439, 5575, 267, 4952, 3054, 11504, 513, 18512, 2773, 538, 606, 3504, 14655, 14364, 4904, 609, 7524, 4778, 267, 9159, 2575, 267, 543, 10578, 3197, 269, 2052, 596, 1294, 621, 286, 6153, 256, 3767, 267, 649, 786, 1451, 827, 875, 1346, 6909, 4249, 3357, 547, 1272, 998, 1404, 8586, 780, 25440, 8586, 3322, 13167, 19929, 267, 3527, 267, 543, 11673, 585, 11051, 547, 3142, 513, 1650, 9800, 593, 3942, 269, 898, 781, 899, 7206, 513, 4605, 1210, 1913, 256, 1280, 1383, 267, 513, 31075, 949, 2328, 1945, 899, 713, 1384, 263, 23322, 13788, 267, 8876, 513, 4190, 11344, 26816, 1181, 8094, 3201, 296, 281, 13259, 267, 594, 723, 8452, 1175, 538, 942, 585, 1250, 4651, 781, 6264, 21649, 256, 1809, 1141, 616, 782, 519, 14538, 2496, 3086, 267, 3085, 1405, 602, 1118, 596, 8049, 827, 1946, 18498, 14659, 646, 781, 3735, 543, 1141, 3025, 3116, 568, 286, 2334, 781, 835, 1259, 24420, 23412, 1711, 10761, 543, 4497, 9458, 2439, 4131, 781, 1413, 6251, 693, 14655, 1404, 8586, 4481, 269, 3509, 2757, 14655, 4249, 4183, 10477, 536, 18054, 1513, 630, 5658, 1115, 1070, 9589, 7068, 267, 15438, 543, 30842, 267, 8797, 1455, 619, 267, 543, 22539, 8941, 540, 2648, 267, 7045, 267, 543, 5837, 4245, 269, 5994, 1603, 513, 6429, 2921, 1747, 538, 513, 14297, 536, 18054, 541, 2407, 540, 29549, 14546, 267, 695, 20810, 532, 17234, 267, 543, 7874, 8188, 29541, 936, 5370, 269, 1215, 1131, 596, 4766, 519, 4259, 267, 519, 1004, 267, 543, 741, 4205, 286, 1548, 2186, 540, 4664, 798, 596, 1616, 707, 5304, 547, 1745, 1282, 713, 6429, 286, 5775, 342, 1359, 2055, 899, 891, 2337, 1628, 909, 513, 12667, 543, 19278, 1995, 780, 11101, 267, 1082, 5929, 14655, 4249, 6451, 6965, 267, 30053, 267, 543, 8964, 267, 4946, 6106, 540, 3178, 543, 5898, 547, 519, 1893, 1031, 1369, 873, 269, 901, 2306, 1620, 519, 2686, 2796, 1898, 950, 16042, 971, 1568, 269, 1635, 1565, 827, 14655, 3332, 267, 1686, 267, 543, 1514, 8155, 267, 14971, 24420, 23412, 2744, 3407, 4030, 547, 3132, 8903, 4773, 780, 2414, 9414, 713, 1523, 2417, 267, 2015, 513, 4583, 6648, 676, 681, 26619, 267, 513, 26060, 14655, 10564, 1384, 257, 290, 727, 267, 2097, 267, 945, 1197, 596, 616, 269, 654, 663, 19907, 267, 26902, 23803, 267, 24158, 540, 6028, 269, 744, 2720, 568, 1100, 1286, 24170, 540, 21817, 269, 22067, 267, 1256, 952, 596, 723, 7745, 707, 642, 3298, 513, 8536, 2053, 269, 22067, 267, 2943, 1586, 267, 2097, 267, 2097, 3010, 1692, 1223, 596, 946, 2609, 689, 713, 6648, 547, 8300, 5188, 1063, 1079, 3197, 5275, 25863, 538, 707, 1378, 1404, 286, 15154, 21176, 2636, 721, 547, 1102, 2224, 3638, 2495, 6508, 689, 5553, 6040, 7326, 883, 2413, 6386, 780, 7661, 267, 3314, 602, 1169, 1390, 1404, 6238, 609, 606, 2856, 267, 4553, 676, 6297, 4058, 543, 26004, 269, 11020, 10445, 1114, 4798, 267, 5468, 267, 543, 1915, 2010, 6273, 676, 14655, 2528, 269, 6657, 1603, 2110, 10207, 6220, 1585, 5339, 3457, 543, 2553, 5941, 2429, 713, 1770, 269, 21664, 609, 9905, 6770, 1648, 543, 4195, 5380, 282, 4061, 267, 1810, 1405, 19292, 547, 2671, 707, 960, 543, 1683, 16268, 5955, 547, 1866, 780, 1103, 3932, 267, 14655, 1404, 8586, 3091, 11995, 7399, 585, 3860, 4082, 1247, 10962, 2189, 3344, 540, 5664, 8109, 12416, 269, 3414, 4974, 3140, 543, 4207, 1568, 7258, 3946, 6823, 2259, 267, 596, 1932, 666, 3565, 6209, 2984, 14120, 1480, 2833, 2066, 4529, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 3269, 295, 1515, 8967, 2001, 257, 693, 519, 3345, 1744, 648, 8535, 20989, 454, 257, 300, 10397, 23183, 10590, 693, 519, 3345, 1744, 648, 8535, 20989, 454, 10454, 8535, 2494, 257, 693, 634, 1234, 14410, 8535, 20989, 454, 257, 30681, 7754, 257, 693, 519, 3345, 1744, 648, 8535, 20989, 454, 257, 15578, 570, 4456, 5058, 257, 693, 11833, 595, 2378, 2946, 454, 21202, 8863, 3036, 4785, 700, 12114, 257, 693, 634, 1234, 14410, 8535, 20989, 454, 763, 1234, 14410, 8535, 20989, 540, 20523, 11785, 8118, 922, 4005, 609, 519, 30140, 2442, 589, 932, 11501, 7412, 267, 799, 1101, 8118, 593, 16340, 3118, 538, 476, 3192, 276, 269, 589, 932, 11501, 7412, 3217, 519, 5304, 883, 513, 9583, 8076, 16213, 1289, 585, 519, 2468, 1255, 6937, 1107, 2576, 945, 666, 7544, 267, 2206, 543, 957, 269, 634, 8689, 267, 5097, 4862, 689, 513, 10584, 267, 6499, 811, 856, 540, 891, 2912, 1431, 676, 31392, 1142, 11134, 7866, 267, 711, 1152, 741, 4128, 585, 4742, 23929, 267, 855, 741, 3006, 1790, 664, 995, 3460, 538, 8757, 741, 3853, 563, 763, 16134, 540, 519, 29278, 9967, 540, 513, 3109, 3774, 954, 577, 4474, 609, 8272, 549, 1042, 8440, 568, 811, 982, 2614, 547, 13686, 1142, 25249, 262, 2984, 267, 543, 15472, 5759, 269, 1306, 609, 1022, 2912, 819, 267, 972, 941, 2178, 12644, 267, 607, 1134, 607, 930, 799, 530, 518, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25324, 1014, 7591, 8586, 257, 607, 851, 540, 834, 11403, 24717, 1315, 5664, 8109, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 634, 28249, 540, 6014, 14740, 267, 2657, 2598, 1706, 885, 267, 543, 8889, 538, 5840, 692, 7072, 912, 2026, 5018, 538, 519, 2546, 1349, 267, 2860, 568, 513, 3395, 6161, 1851, 1762, 4079, 5001, 269, 769, 1249, 267, 1382, 2982, 602, 1978, 5095, 267, 1519, 7642, 2713, 538, 5375, 7239, 267, 1995, 2362, 3928, 540, 2860, 3379, 547, 1866, 269, 1306, 2104, 3401, 267, 3609, 15670, 267, 543, 15156, 267, 621, 781, 1898, 547, 1174, 875, 891, 1072, 13103, 12969, 609, 3909, 3961, 267, 2686, 2853, 267, 543, 2797, 3889, 269, 3414, 3695, 519, 3140, 2796, 267, 4207, 2152, 267, 543, 1761, 3435, 267, 713, 1576, 786, 1683, 596, 609, 513, 4514, 7071, 540, 519, 1950, 2188, 12018, 1857, 1072, 4507, 538, 5840, 543, 3564, 780, 4089, 476, 272, 281, 8466, 12745, 910, 6014, 24779, 1299, 16949, 538, 5375, 5081, 7724, 454, 288, 269, 11137, 540, 6014, 9194, 3270, 2429, 1686, 454, 289, 269, 11790, 7700, 547, 2799, 9860, 540, 1412, 310, 3480, 1242, 262, 19824, 1851, 6014, 2950, 454, 290, 269, 1215, 934, 738, 4851, 5540, 8192, 6208, 267, 2168, 2534, 2157, 267, 2566, 2359, 267, 543, 3782, 1569, 454, 291, 269, 22414, 2079, 540, 6014, 19366, 2833, 1063, 1114, 5375, 6082, 630, 324, 3052, 1421, 2136, 2276, 5288, 269, 5333, 994, 292, 269, 11879, 6514, 540, 21939, 6436, 543, 741, 6286, 593, 1072, 4093, 692, 4089, 476, 273, 281, 12634, 12983, 910, 2657, 2598, 1706, 885, 7324, 6014, 7377, 2827, 454, 288, 269, 25731, 8344, 1239, 15386, 2860, 1651, 573, 1878, 1369, 1585, 6014, 1016, 25364, 454, 289, 269, 16709, 540, 1514, 21876, 18363, 1072, 13103, 267, 971, 607, 14227, 4567, 267, 2069, 1377, 267, 543, 7130, 454, 290, 269, 5811, 540, 4719, 19753, 21752, 2404, 609, 1808, 2010, 540, 2860, 630, 324, 3052, 1421, 19836, 7563, 5444, 13592, 538, 12891, 5287, 21532, 6014, 2021, 994, 291, 269, 8865, 1353, 593, 519, 1909, 540, 4984, 538, 5935, 8456, 2509, 15324, 1416, 543, 9584, 2409, 454, 292, 269, 27148, 883, 4008, 3604, 538, 2860, 1981, 543, 6668, 3928, 1369, 6014, 2950, 692, 4089, 476, 274, 281, 5398, 8889, 1299, 31197, 538, 5840, 910, 18601, 2657, 21153, 885, 454, 288, 269, 5623, 540, 1883, 22257, 5238, 3743, 585, 7598, 1072, 4507, 538, 5840, 454, 289, 269, 22410, 540, 4540, 9777, 725, 13389, 2860, 6604, 543, 1852, 3800, 454, 290, 269, 16214, 540, 3811, 7341, 5466, 1072, 13103, 2066, 3309, 6014, 5095, 454, 291, 269, 30487, 519, 7145, 540, 2146, 23793, 3292, 5009, 2635, 5615, 543, 2038, 7020, 454, 292, 269, 22384, 540, 10616, 538, 1699, 4507, 543, 7840, 585, 6454, 1759, 593, 1655, 2853, 689, 2518, 5380, 692, 6962, 912, 8139, 519, 2078, 1063, 3909, 3961, 267, 2686, 4282, 267, 543, 1072, 4093, 568, 2629, 585, 3384, 2500, 2994, 6322, 693, 4227, 1072, 13103, 1851, 6014, 5095, 269, 1635, 9691, 6313, 519, 28622, 540, 891, 2188, 543, 2502, 609, 4143, 2013, 2090, 267, 14519, 267, 3173, 267, 543, 15156, 666, 960, 1927, 547, 1711, 8537, 5054, 1141, 782, 2043, 723, 3160, 3255, 547, 1291, 2635, 2729, 7488, 540, 741, 5132, 267, 14940, 267, 610, 3084, 5169, 780, 9616, 281, 901, 1576, 7291, 5713, 607, 513, 4358, 1448, 585, 2417, 1646, 676, 16929, 543, 4081, 5234, 2818, 269, 16952, 2200, 267, 13220, 267, 2238, 267, 543, 10526, 1058, 5447, 609, 12250, 4808, 267, 1565, 6859, 267, 543, 2875, 2115, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4692, 1356, 568, 513, 2262, 602, 1100, 835, 6499, 547, 5873, 269, 898, 779, 513, 5868, 602, 666, 581, 1272, 19145, 267, 543, 621, 779, 1945, 602, 1082, 540, 721, 4250, 269, 2755, 2860, 3928, 723, 1044, 9991, 538, 2487, 1296, 267, 972, 568, 835, 1895, 540, 1004, 585, 7247, 2860, 568, 4742, 5051, 1455, 281, 1762, 4079, 269, 9435, 568, 513, 3056, 2014, 540, 2669, 538, 1762, 4079, 267, 543, 519, 11841, 540, 519, 2068, 568, 8375, 269, 2755, 519, 3169, 2014, 540, 2860, 568, 7164, 267, 930, 4966, 3494, 602, 513, 2048, 310, 3480, 1242, 685, 6197, 949, 581, 547, 16620, 269, 1924, 1018, 4010, 1281, 602, 1611, 888, 4131, 779, 1413, 693, 519, 2963, 547, 1294, 952, 972, 779, 1022, 5168, 547, 713, 3409, 563, 3674, 513, 2048, 310, 3480, 1242, 685, 6197, 547, 16620, 286, 1107, 2913, 779, 4855, 4934, 454, 4692, 1356, 11841, 538, 1762, 4079, 568, 8375, 267, 543, 930, 4966, 3494, 602, 513, 2048, 310, 3480, 1242, 685, 6197, 949, 581, 547, 16620, 269, 5525, 723, 3254, 602, 1762, 4079, 945, 2661, 538, 5375, 2477, 616, 811, 2693, 547, 1020, 2860, 982, 1346, 945, 2661, 538, 824, 2694, 540, 519, 1158, 269, 901, 949, 581, 1317, 5375, 619, 616, 811, 2693, 547, 9772, 14432, 19824, 267, 971, 607, 15137, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 15215, 1315, 17194, 1315, 18303, 3778, 543, 15348, 585, 8479, 20661, 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, 19901, 10263, 538, 5843, 31754, 692, 296, 269, 4985, 692, 2026, 596, 5490, 4514, 883, 519, 2361, 540, 2890, 31754, 267, 621, 3587, 5051, 1271, 547, 1174, 7082, 2623, 910, 519, 1353, 540, 875, 1367, 6800, 267, 2516, 267, 610, 3906, 2824, 267, 4444, 267, 946, 267, 543, 26565, 2093, 267, 5370, 267, 543, 2533, 547, 14183, 741, 2115, 543, 6499, 269, 769, 713, 3184, 267, 649, 786, 2263, 1585, 3344, 540, 7082, 2623, 267, 1519, 922, 4644, 538, 2890, 31754, 267, 1883, 21876, 12018, 7082, 5079, 267, 543, 4207, 2152, 5935, 2413, 4616, 3270, 269, 1635, 6313, 891, 2609, 267, 596, 3513, 2744, 3407, 4030, 883, 3375, 6194, 3157, 267, 3850, 596, 547, 1732, 3589, 2344, 3466, 543, 25666, 2500, 1870, 2994, 780, 2862, 269, 19043, 540, 19901, 10263, 538, 5843, 31754, 692, 288, 269, 10020, 538, 10369, 4982, 10329, 454, 8139, 7082, 7375, 568, 2629, 585, 8159, 2344, 11466, 267, 1141, 7274, 18796, 11224, 7274, 13859, 269, 11790, 899, 4747, 2157, 267, 16919, 267, 543, 7375, 1764, 519, 3747, 7455, 267, 6038, 7133, 5777, 543, 3977, 538, 1808, 6990, 269, 1306, 2890, 324, 1595, 1235, 267, 938, 3804, 568, 547, 2697, 543, 5659, 891, 7506 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 6129, 9947, 476, 2918, 476, 1556, 281, 2004, 281, 4962, 476, 1001, 277, 692, 287, 10461, 281, 9400, 454, 20701, 3698, 1039, 5416, 267, 536, 2187, 825, 2132, 513, 1341, 536, 22562, 3698, 10208, 5416, 267, 536, 2187, 825, 2132, 513, 910, 536, 22562, 3698, 9062, 5416, 267, 536, 2187, 825, 2132, 513, 2608, 536, 692, 3698, 7941, 5416, 267, 536, 2187, 825, 952, 536, 2652, 476, 271, 912, 1038, 2132, 7183, 454, 825, 2132, 513, 1315, 536, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 28269, 26502, 8528, 287, 294, 15869, 15651, 692, 20701, 3698, 6305, 318, 26476, 1436, 16325, 2187, 825, 12361, 15531, 782, 2188, 540, 519, 2016, 1297, 454, 825, 2188, 8217, 815, 11713, 825, 3815, 815, 476, 273, 454, 825, 1247, 263, 26476, 10922, 1003, 2187, 1038, 952, 16325, 4939, 3815, 2652, 476, 271, 2187, 2018, 2188, 8217, 6910, 263, 26476, 994, 1038, 3815, 815, 3815, 1341, 476, 272, 28329, 825, 1820, 263, 2399, 832, 8217, 994, 8931, 825, 12361, 15531, 799, 540, 519, 2188, 616, 6305, 454, 825, 6305, 318, 2399, 832, 815, 11713, 825, 585, 1775, 538, 2188, 8217, 912, 1038, 585, 795, 538, 2039, 263, 273, 267, 328, 2187, 2018, 952, 9217, 4939, 795, 2652, 476, 271, 2187, 3546, 2736, 454, 1038, 3116, 912, 2018, 6305, 318, 2399, 832, 6910, 9217, 994, 8931, 825, 12361, 2398, 6493, 2164, 13872, 825, 1003, 815, 1193, 16325, 994, 825, 6305, 318, 2399, 832, 815, 1193, 263, 18905, 318, 2399, 832, 994, 825, 1820, 2891, 763, 6305, 2188, 540, 834, 1341, 1003, 1341, 834, 616, 834, 1341, 6305, 318, 2399, 832, 994, 8931, 8931, 1012, 570, 1389, 3593, 3403, 543, 7125, 593, 519, 6305, 26458, 1599, 4449, 454, 6112, 6936, 912, 825, 513, 815, 703, 9272, 3488, 326, 633, 803, 513, 1297, 3152, 982, 476, 272, 610, 4283, 476, 271, 547, 16718, 281, 1412, 4917, 825, 952, 630, 320, 2652, 476, 271, 2187, 1038, 2736, 454, 825, 6305, 318, 26476, 1436, 5416, 994, 4449, 0, 5228, 6843, 8217, 1104, 23030, 21698, 692, 258, 31176, 491, 31365, 421, 479, 491, 31308, 484, 263, 2181, 4650, 2567, 21928, 31176, 491, 31365, 421, 479, 491, 31308, 484, 18809, 8147, 16043, 495, 10524, 361, 10429, 486, 18777, 379, 25426, 362, 21550, 373, 420, 488, 480, 30536, 8147, 419, 482, 370, 12571, 492, 20881, 496, 25051, 496, 17295, 364, 31176, 491, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 26266, 355, 31878, 21550, 495, 8147, 19540, 491, 476, 20881, 496, 25051, 496, 17295, 364, 31176, 491, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 9463, 367, 31878, 21550, 495, 25707, 258, 18809, 31365, 421, 479, 491, 31308, 484, 263, 514, 4650, 2567, 21928, 18809, 31365, 421, 479, 491, 31308, 484, 18809, 8147, 16043, 495, 10524, 361, 20881, 496, 25051, 496, 17295, 364, 18809, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 26266, 355, 31878, 21550, 495, 8147, 419, 482, 370, 12571, 492, 18777, 379, 25426, 362, 21550, 373, 420, 488, 480, 30536, 8147, 31006, 12571, 492, 13127, 484, 491, 20881, 496, 25051, 496, 17295, 364, 18809, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 9463, 367, 31878, 21550, 495, 25707, 258, 12571, 492, 31365, 421, 479, 491, 31308, 484, 9638, 739, 4650, 2567, 21928, 12571, 492, 31365, 421, 479, 491, 31308, 484, 18809, 8147, 16043, 495, 10524, 361, 10429, 486, 20881, 496, 25051, 496, 17295, 364, 12571, 492, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 26266, 355, 31878, 21550, 495, 25520, 9463, 367, 31878, 21550, 495, 8147, 31006, 12571, 492, 18777, 379, 25426, 362, 17276, 510, 373, 420, 488, 480, 30536, 12486, 692, 3698, 840, 4650, 263, 520, 872, 2187, 825, 5727, 17958, 20881, 496, 25051, 496, 23521, 354, 419, 376, 500, 19540, 503, 12163, 825, 952, 693, 872, 912, 1038, 1820, 263, 520, 872, 10947, 305, 2393, 11749, 15405, 1038, 840, 4650, 263, 520, 872, 10947, 29381, 21609, 15405, 1038, 840, 4650, 263, 520, 872, 10947, 14738, 21609, 31156, 258, 19540, 483, 419, 377, 362, 25520, 14035, 500, 419, 377, 362, 30244, 4970, 353, 26175, 491, 25913, 25622, 417, 497, 359, 26175, 491, 418, 505, 368, 417, 354, 377, 13601, 11590, 505, 417, 495, 351, 286, 13601, 420, 486, 361, 23521, 354, 13644, 368, 14035, 500, 419, 377, 362, 16583, 30936, 418, 505, 368, 417, 354, 377, 25707, 258, 13127, 492, 509, 18713, 510, 21928, 30678, 12916, 510, 23523, 486, 16533, 495, 421, 506, 478, 28884, 22287, 499, 419, 374, 363, 421, 479, 491, 13127, 492, 484, 10533, 368, 14748, 21550, 495, 12486, 14035, 504, 12255, 418, 481, 483, 19540, 369, 31284, 12916, 510, 9463, 359, 15159, 418, 481, 367, 10254, 358, 17958, 417, 509, 374, 10951, 361, 7511, 421, 479, 491, 31308, 484, 25913, 25622, 23521, 354, 14395, 508, 27064, 364, 10429, 370, 10524, 500, 7511, 11590, 489, 418, 481, 483, 12486, 692, 3698, 2022, 4650, 263, 520, 872, 2187, 825, 5727, 12571, 492, 31365, 421, 479, 491, 31308, 484, 12163, 825, 952, 693, 872, 912, 1038, 840, 4650, 263, 520, 872, 10947, 29381, 21609, 15405, 1038, 840, 4650, 263, 520, 872, 10947, 14738, 21609, 15405, 1038, 1820, 263, 520, 872, 10947, 305, 2393, 11749, 31156, 258, 12571, 492, 31365, 421, 479, 491, 31308, 484, 7511, 13601, 26175, 491, 13601, 420, 486, 361, 18021, 498, 17958, 8147, 18263, 509, 16533, 365, 15159, 25335, 352, 22909, 494, 21550, 495, 418, 365, 480, 29219, 7531, 3698, 538, 4650, 263, 520, 872, 2187, 825, 5727, 18809, 31365, 421, 479, 491, 31308, 484, 12163, 825, 952, 693, 872, 912, 1038, 840, 4650, 263, 520, 872, 10947, 29381, 21609, 15405, 1038, 1820, 263, 520, 872, 10947, 305, 2393, 11749, 15405, 1038, 840, 4650, 263, 520, 872, 10947, 14738, 21609, 31156, 258, 476, 278, 269, 10533, 368, 419, 494, 484, 1820, 10339, 13127, 485, 30936, 8147, 12916, 379, 10429, 370, 21251, 25060, 483, 418, 489, 361, 14035, 504, 12916, 503, 7511, 418, 489, 361, 9463, 371, 25707, 3698, 1820, 10339, 263, 520, 872, 2187, 825, 5727, 16043, 495, 10524, 361, 28098, 25335, 352, 22909, 494, 21550, 495, 13213, 505, 27310, 22047, 28997, 478, 22287, 499, 7511, 18809, 31365, 421, 479, 491, 31308, 484, 8147, 16043, 495, 10524, 361, 16533, 484, 23523, 501, 28996, 418, 366, 350, 20069, 17295, 484, 418, 489, 361, 9463, 371, 7511, 31308, 509, 417, 356, 489, 23989, 20001, 378, 19764, 493, 25707, 825, 476, 16043, 495, 10524, 361, 23746, 23284, 476, 32517, 362, 418, 498, 373, 417, 509, 374, 419, 350, 478, 7511, 18809, 31365, 421, 479, 491, 31308, 484, 7511, 28997, 501, 25622, 12916, 379, 16043, 495, 10524, 361, 14035, 491, 31308, 509, 10429, 357, 418, 489, 361, 9463, 371, 23989, 20001, 378, 19764, 493, 25707, 825, 476, 9463, 359, 28884, 417, 479, 504, 417, 28187, 31284, 32517, 362, 418, 498, 373, 281, 21928, 20881, 496, 25051, 496, 18777, 379, 25426, 362, 26266, 355, 31878, 21550, 495, 18263, 489, 31176, 491, 27447, 13127, 485, 374, 26266, 355, 418, 489, 361, 9463, 371, 8147, 419, 482, 370, 12571, 492, 21928, 18777, 379, 25426, 362, 9463, 367, 31878, 21550, 495, 18263, 489, 12571, 492, 27447, 24731, 9463, 367, 418, 489, 361, 9463, 371, 12486, 12163, 825, 521, 11749, 815, 834, 5016, 825, 952, 693, 872, 912, 1038, 2451, 815, 476, 693, 872, 10947, 29381, 21609, 4590, 1038, 1318, 815, 693, 872, 10947, 14738, 21609, 4590, 1038, 952, 711, 2451, 543, 711, 1318, 281, 1948, 17276, 510, 495, 9463, 370, 420, 488, 480, 30536, 8147, 421, 25693, 15159, 12255, 21211, 454, 2018, 521, 11749, 6834, 1193, 263, 2745, 10339, 263, 3847, 4917, 2018, 521, 11749, 6834, 1193, 263, 520, 872, 10947, 305, 2393, 11749, 15405, 2018, 521, 11749, 6834, 1193, 263, 2745, 10339, 263, 2431, 11723, 27030, 13872, 13872, 1038, 3116, 912, 2018, 521, 11749, 6834, 834, 2891, 266, 1820, 10339, 263, 3847, 994, 2018, 521, 11749, 6834, 693, 872, 10947, 305, 2393, 11749, 4590, 2018, 521, 11749, 6834, 1820, 10339, 263, 2431, 264, 1341, 834, 264, 4840, 825, 2132, 521, 11749, 454, 0, 3698, 9352, 318, 14142, 263, 531, 626, 267, 6221, 2187, 825, 5727, 11590, 490, 26166, 418, 494, 506, 22614, 368, 351, 16533, 484, 10524, 492, 18809, 25426, 368, 421, 350, 373, 19764, 478, 417, 356, 489, 418, 352, 478, 418, 369, 489, 8147, 26033, 490, 21251, 15159, 418, 490, 487, 421, 350, 374, 31365, 418, 494, 506, 27381, 351, 28578, 23989, 25707, 825, 13127, 28187, 31563, 418, 509, 354, 19867, 378, 421, 350, 373, 4970, 492, 16043, 495, 10524, 361, 10254, 504, 418, 494, 506, 27381, 351, 28996, 7511, 421, 350, 373, 25060, 373, 421, 483, 491, 8147, 10254, 503, 418, 494, 506, 27381, 351, 476, 14756, 497, 23521, 509, 12486, 417, 28187, 31563, 21251, 25060, 373, 421, 483, 491, 8147, 16043, 495, 10524, 361, 23746, 23284, 10254, 358, 17958, 28578, 23989, 7511, 20069, 31365, 26233, 356, 23521, 354, 26406, 496, 30522, 353, 26406, 487, 13601, 22287, 488, 7511, 31176, 358, 12916, 503, 421, 350, 373, 25707, 825, 13127, 28187, 31563, 418, 509, 354, 19867, 378, 421, 350, 373, 30006, 498, 18809, 25426, 368, 421, 350, 373, 27962, 8147, 16043, 495, 10524, 361, 23746, 23284, 418, 488, 488, 28578, 23989, 18809, 20001, 481, 16533, 493, 7511, 421, 480, 352, 13601, 22287, 488, 10429, 357, 421, 481, 357, 25520, 18809, 25426, 368, 421, 350, 373, 23746, 23284, 10524, 492, 26406, 354, 31284, 23521, 354, 7511, 26033, 481, 21382, 509, 18809, 26406, 496, 30522, 353, 29072, 25707, 825, 13127, 505, 510, 20992, 417, 28187, 31563, 418, 509, 354, 19867, 378, 28859, 350, 373, 21928, 28578, 23989, 18809, 8147, 421, 480, 352, 14395, 481, 13601, 27936, 21928, 20001, 481, 27962, 7511, 421, 480, 352, 13601, 22287, 488, 25707, 8931, 825, 17276, 492, 354, 31284, 23521, 354, 8147, 16043, 495, 10524, 361, 23746, 23284, 21928, 20001, 481, 27962, 7511, 13601, 22287, 488, 18809, 19404, 491, 14035, 491, 30244, 14748, 13213, 485, 31801, 489, 12486, 10524, 492, 18809, 25426, 368, 421, 350, 373, 19764, 478, 417, 356, 489, 8147, 418, 489, 379, 14395, 481, 25520, 418, 509, 354, 19867, 378, 421, 350, 373, 30853, 30006, 498, 20001, 481, 25707, 825, 13127, 484, 491, 17276, 507, 354, 13601, 418, 361, 350, 8147, 16043, 495, 10524, 361, 28884, 18263, 486, 19867, 378, 28996, 29072, 418, 509, 354, 19867, 378, 421, 350, 373, 8147, 28884, 18263, 486, 10524, 492, 18809, 25426, 368, 26166, 31176, 366, 28578, 23989, 8147, 23946, 370, 18713, 510, 27882, 353, 26406, 496, 30522, 353, 26406, 487, 9463, 355, 13601, 27962, 421, 481, 357, 26166, 16043, 495, 10524, 361, 7511, 418, 494, 506, 27381, 351, 25060, 374, 13127, 509, 509, 25707, 8931, 825, 476, 26166, 31176, 366, 418, 361, 350, 12255, 28859, 350, 373, 12255, 454, 825, 476, 272, 11434, 562, 270, 273, 454, 825, 476, 273, 11434, 562, 270, 275, 454, 825, 476, 274, 11434, 562, 270, 279, 454, 825, 4429, 825, 1775, 11434, 562, 270, 273, 317, 328, 692, 825, 562, 270, 273, 317, 328, 815, 476, 272, 454, 825, 1775, 815, 2845, 273, 3799, 2020, 825, 476, 11590, 490, 26166, 418, 494, 506, 27381, 351, 7511, 14035, 491, 23521, 480, 18021, 355, 15159, 302, 263, 8421, 3799, 4917, 672, 692, 825, 29185, 825, 1101, 815, 476, 271, 454, 825, 2063, 815, 7003, 263, 531, 626, 264, 910, 476, 272, 454, 825, 1336, 815, 8771, 692, 825, 1247, 1101, 10922, 2063, 543, 1336, 11203, 6936, 912, 1038, 4571, 815, 630, 14140, 1341, 2063, 264, 12262, 273, 454, 1038, 952, 6221, 2652, 620, 626, 314, 13232, 14158, 2018, 2132, 6936, 454, 1038, 8640, 6221, 3436, 620, 626, 314, 13232, 14158, 2018, 1101, 815, 4571, 1341, 476, 272, 454, 1038, 3116, 912, 2018, 2063, 815, 4571, 910, 476, 272, 28329, 825, 2132, 8771, 692, 531, 626, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 279, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 3953, 267, 476, 5655, 267, 6540, 28744, 6357, 2435, 318, 14142, 263, 531, 626, 267, 279, 11723, 692, 3698, 9352, 318, 14142, 318, 13612, 263, 531, 626, 267, 14403, 2187, 825, 5727, 26166, 26033, 490, 418, 366, 375, 18263, 489, 8147, 20881, 496, 25051, 496, 14395, 508, 27064, 364, 476, 11590, 490, 26166, 418, 509, 354, 19867, 378, 454, 825, 13127, 479, 506, 27882, 351, 23521, 350, 10524, 370, 16088, 7003, 17338, 264, 2652, 476, 271, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11073, 1467, 519, 1292, 10486, 543, 3604, 1063, 13100, 27600, 779, 543, 966, 17789, 1824, 5652, 779, 3137, 585, 5042, 1646, 538, 1453, 269, 13100, 27600, 543, 966, 17789, 1824, 5652, 941, 1312, 267, 3168, 883, 519, 1482, 1974, 540, 5042, 1646, 538, 12256, 543, 1453, 543, 4687, 519, 1482, 2596, 4145, 269, 13100, 27600, 630, 6245, 277, 268, 2735, 271, 264, 3384, 1010, 3069, 5594, 4505, 982, 966, 17789, 1824, 5652, 630, 6245, 277, 268, 4350, 275, 264, 945, 5249, 547, 1397, 602, 972, 941, 1978, 20924, 538, 13100, 27600, 1412, 338, 3069, 540, 4719, 26381, 1108, 269, 966, 690, 1824, 5652, 543, 1010, 1514, 14426, 3069, 540, 5042, 1646, 1522, 581, 2938, 607, 519, 8168, 11218, 547, 13100, 27600, 1412, 338, 7262, 1367, 626, 5133, 269, 13100, 27600, 5059, 593, 5042, 1646, 607, 9247, 19838, 12510, 878, 267, 966, 17789, 1824, 5652, 13934, 713, 609, 519, 2856, 540, 519, 1367, 607, 1373, 2560, 19651, 811, 1543, 7498, 303, 328, 27600, 1014, 3069, 9247, 5784, 1646, 538, 2185, 9425, 14461, 5933, 267, 602, 4352, 789, 8774, 513, 1390, 4308, 540, 1769, 593, 1126, 1646, 267, 798, 711, 1450, 585, 606, 1620, 540, 1126, 1646, 607, 1373, 8476, 676, 1514, 543, 2686, 2188, 607, 729, 3254, 676, 966, 17789, 1824, 5652, 538, 1010, 1412, 25791, 2686, 3069, 540, 1126, 1646, 29717, 1358, 798, 711, 3565, 547, 938, 5483, 5872, 609, 1453, 267, 3226, 609, 2543, 547, 2069, 267, 1141, 30576, 326, 1824, 5652, 1412, 338, 2093, 723, 1044, 5033, 3373, 3407, 269, 769, 15154, 543, 16594, 267, 966, 17789, 1824, 5652, 267, 2022, 12885, 602, 538, 13100, 27600, 1412, 338, 5933, 540, 1646, 267, 1142, 3942, 8806, 6799, 3294, 1310, 519, 3105, 3942, 814, 2196, 922, 1576, 267, 621, 1281, 711, 6565, 689, 621, 269, 630, 2735, 273, 267, 533, 269, 476, 8099, 994, 763, 2185, 8471, 11095, 5933, 540, 13100, 27600, 1014, 3069, 616, 607, 5205, 281, 634, 1412, 338, 29022, 332, 19318, 1412, 3942, 799, 4386, 1063, 519, 6502, 540, 476, 272, 543, 476, 273, 1296, 2025, 269, 901, 568, 519, 1974, 1282, 799, 13100, 27600, 4857, 519, 1126, 3384, 513, 2489, 28203, 585, 3350, 543, 14815, 269, 901, 568, 4553, 676, 519, 1412, 2181, 6016, 1049, 1412, 3942, 689, 476, 273, 268, 278, 1296, 1141, 519, 1126, 538, 1010, 6644, 814, 606, 16283, 2702, 547, 2490, 2219, 883, 2962, 269, 634, 1126, 568, 2938, 607, 661, 326, 12510, 878, 607, 568, 7152, 538, 519, 1412, 22764, 10239, 1412, 1449, 267, 1141, 1614, 8335, 21243, 267, 9380, 539, 10239, 616, 5116, 1354, 519, 1126, 543, 1352, 568, 4280, 547, 6542, 606, 1620, 540, 875, 519, 2070, 1522, 1413, 689, 519, 5133, 540, 1776, 282, 1352, 568, 8572, 547, 798, 865, 269, 630, 32354, 1696, 620, 269, 476, 1220, 280, 533, 269, 533, 8287, 1040, 901, 6560, 5170, 883, 454, 12812, 1934, 547, 12260, 713, 543, 936, 835, 2929, 3594, 7476, 7457, 454, 1103, 1699, 3872, 6530, 267, 1312, 519, 1568, 540, 14639, 13100, 27600, 543, 23821, 966, 17789, 1824, 5652, 723, 1831, 7986, 538, 606, 1620, 540, 11095, 17133, 538, 6689, 630, 291, 1075, 1127, 928, 267, 5062, 300, 2795, 267, 4425, 1013, 518, 1299, 10127, 2224, 267, 476, 1001, 274, 267, 533, 269, 476, 6321, 1040, 4256, 6436, 616, 5360, 21747, 543, 1683, 513, 811, 11826, 8223, 540, 6689, 1646, 630, 4537, 9707, 267, 631, 1421, 476, 1220, 274, 267, 533, 269, 476, 275, 4792, 1040, 4256, 8795, 3741, 616, 10858, 547, 1082, 3871, 7282, 519, 1646, 540, 1453, 269, 634, 6212, 540, 13100, 27600, 543, 966, 17789, 1824, 5652, 593, 519, 2081, 540, 6689, 1646, 8428, 269, 13100, 27600, 729, 5059, 593, 519, 2185, 11095, 5933, 540, 5042, 2208, 538, 1010, 7869, 540, 15465, 4886, 267, 15029, 966, 17789, 1824, 5652, 779, 3741, 941, 1759, 593, 1646, 538, 513, 6848, 6073, 609, 1010, 454, 303, 328, 27600, 729, 519, 1101, 18673, 547, 1118, 513, 9836, 1353, 540, 5042, 1646, 269, 13100, 27600, 779, 960, 2882, 513, 2143, 22423, 1353, 540, 17133, 538, 1453, 269, 13100, 27600, 4951, 602, 1762, 1453, 1589, 538, 1114, 2081, 547, 4079, 269, 4340, 547, 13100, 27600, 267, 1453, 616, 4535, 609, 513, 1360, 2596, 2790, 2497, 630, 2102, 13443, 15110, 543, 7960, 264, 593, 799, 782, 7766, 1702, 568, 1759, 563, 1103, 966, 17789, 1824, 5652, 779, 1914, 32241, 1646, 3069, 267, 1514, 5872, 4249, 606, 1271, 1909, 538, 519, 1184, 540, 5042, 1646, 267, 799, 568, 1114, 1287, 13100, 27600, 779, 1620, 540, 1126, 1646, 269, 966, 17789, 1824, 5652, 5156, 1453, 616, 3742, 1702, 454, 309, 17789, 1824, 5652, 949, 723, 936, 2452, 539, 2956, 593, 1514, 7506, 1317, 646, 5267, 602, 1126, 779, 5042, 1646, 4386, 998, 1514, 4205, 267, 585, 1383, 1453, 798, 4835, 5314, 540, 1966, 6061, 3842, 8994, 4205, 269, 1717, 267, 952, 1514, 1565, 568, 519, 9759, 540, 5042, 1646, 1287, 1565, 1131, 581, 513, 2603, 5488, 982, 621, 568, 269, 4935, 966, 17789, 1824, 5652, 5337, 2803, 519, 6211, 3344, 602, 5351, 610, 9673, 1206, 519, 5042, 1646, 971, 607, 519, 1646, 540, 2634, 543, 30553, 269, 4475, 13100, 27600, 779, 3069, 540, 5042, 1646, 568, 1114, 547, 454, 297, 6756, 13100, 27600, 543, 23821, 966, 17789, 1824, 5652, 1312, 3858, 543, 10990, 538, 519, 1858, 540, 519, 7186, 270, 14946, 618, 540, 11106, 269, 13100, 27600, 543, 966, 17789, 1824, 5652, 3858, 593, 519, 2856, 540, 4020, 13659, 267, 519, 22979, 602, 5042, 1646, 4523, 676, 13250, 547, 543, 2679, 689, 1018, 568, 5892, 6444, 543, 4121, 269, 13100, 27600, 729, 513, 24735, 4020, 22999, 267, 646, 5156, 602, 2043, 10536, 1702, 676, 15025, 609, 741, 1604, 543, 2679, 593, 741, 1702, 543, 1620, 540, 741, 1604, 269, 2201, 519, 824, 1688, 267, 23821, 966, 17789, 1824, 5652, 729, 513, 1514, 4020, 22999, 267, 18468, 2043, 10536, 1702, 998, 1514, 5872, 543, 1565, 689, 1866, 269, 1358, 849, 1312, 3858, 602, 519, 9993, 540, 7214, 2208, 616, 3989, 676, 1514, 4205, 269, 15706, 10536, 1702, 689, 4205, 602, 789, 723, 2907, 1044, 6534, 547, 543, 1018, 824, 1004, 666, 4001, 873, 267, 2436, 952, 621, 824, 1453, 602, 616, 4587, 982, 789, 616, 267, 4079, 538, 519, 1272, 267, 610, 3610, 269, 14639, 13100, 27600, 5156, 602, 2043, 10536, 741, 1702, 676, 15025, 538, 741, 1604, 267, 543, 621, 2501, 607, 513, 1463, 6364, 540, 519, 1367, 779, 3527, 593, 547, 741, 1604, 269, 13100, 27600, 5156, 602, 2043, 1590, 1451, 1354, 789, 1020, 630, 14807, 1049, 10017, 1040, 4340, 547, 14639, 13100, 27600, 779, 3069, 267, 519, 1931, 540, 16565, 1702, 568, 606, 1367, 6411, 2390, 741, 1604, 267, 1565, 689, 519, 4539, 540, 741, 3527, 267, 543, 1287, 3384, 1702, 543, 1620, 540, 454, 297, 6756, 13100, 27600, 779, 7869, 540, 15465, 4886, 729, 835, 540, 519, 1101, 3268, 538, 1620, 875, 1453, 1831, 945, 789, 616, 607, 4079, 269, 769, 2038, 6689, 267, 1453, 2253, 547, 1174, 6698, 543, 11269, 630, 289, 17064, 267, 476, 1001, 275, 267, 533, 269, 476, 25375, 1040, 4256, 1565, 10593, 689, 15392, 519, 1158, 607, 538, 519, 9300, 574, 19318, 3942, 547, 3843, 547, 1265, 1455, 8017, 899, 6698, 269, 4340, 547, 7137, 330, 630, 1001, 275, 1070, 966, 17789, 1824, 5652, 779, 5081, 32241, 7869, 5059, 593, 968, 25791, 2796, 540, 5042, 1646, 892, 630, 335, 269, 476, 23056, 1040, 966, 17789, 1824, 5652, 11368, 1514, 2796, 543, 1514, 4205, 883, 6689, 1646, 282, 538, 824, 1913, 267, 945, 267, 875, 267, 543, 1018, 1453, 2170, 609, 538, 741, 4948, 1514, 1604, 8309, 547, 741, 2790, 543, 3929, 1646, 269, 1879, 621, 2501, 547, 1312, 540, 891, 5042, 6436, 267, 972, 616, 1082, 10486, 543, 3604, 1063, 13100, 27600, 543, 966, 17789, 1824, 5652, 563, 289, 269, 29965, 1299, 570, 269, 15352, 269, 630, 1220, 279, 1040, 25833, 10017, 281, 30459, 13100, 27600, 779, 543, 966, 17789, 1824, 5652, 779, 28636, 538, 269, 4750, 540, 9061, 5937, 21326, 21126, 538, 4065, 267, 5292, 269, 476, 272, 267, 3143, 476, 272, 23463, 476, 6795, 268, 6858, 269, 8158, 689, 5291, 2517, 329, 322, 701, 9884, 332, 342, 1731, 529, 14492, 11721, 850, 270, 1613, 270, 4565, 820, 15005, 454, 19284, 13100, 27600, 267, 945, 729, 540, 606, 4081, 4282, 543, 4769, 1406, 4019, 1010, 6436, 269, 8550, 519, 1447, 267, 789, 1312, 6436, 6766, 2069, 543, 3227, 1695, 338, 1221, 519, 2956, 540, 4879, 2705, 966, 17789, 1824, 5652, 4941, 519, 8343, 540, 1453, 543, 741, 5759, 547, 581, 607, 1130, 1221, 607, 1449, 8464, 563, 275, 269, 594, 9305, 1034, 609, 5042, 6436, 540, 1646, 269, 13100, 27600, 2488, 519, 5748, 676, 7713, 519, 3982, 5933, 540, 1646, 269, 3571, 4030, 1450, 3610, 543, 3237, 547, 723, 513, 4493, 540, 1018, 1453, 616, 5827, 540, 1282, 1142, 3942, 269, 1403, 519, 1126, 20427, 2269, 903, 689, 891, 5933, 267, 621, 2636, 519, 12391, 4079, 547, 1491, 2962, 547, 948, 519, 1126, 547, 3914, 519, 3617, 3942, 269, 2060, 606, 1620, 540, 891, 5933, 267, 519, 6436, 540, 966, 17789, 1824, 5652, 666, 1287, 581, 6707, 8246, 269, 966, 17789, 1824, 5652, 17613, 602, 609, 519, 454, 763, 1557, 568, 2469, 547, 6338, 2110, 7650, 338, 540, 13100, 27600, 630, 4572, 277, 264, 543, 966, 17789, 1824, 5652, 779, 630, 3192, 279, 264, 6436, 547, 5815, 741, 1114, 4485, 950, 6236, 5042, 1646, 269, 13100, 27600, 630, 4572, 277, 264, 2919, 513, 4020, 22999, 3069, 799, 568, 519, 4493, 585, 519, 824, 5042, 1646, 6436, 602, 4553, 269, 1261, 6069, 519, 4214, 540, 28203, 799, 4016, 547, 1453, 779, 4070, 540, 5935, 741, 2219, 543, 3527, 998, 519, 1305, 540, 5042, 3157, 607, 21939, 267, 1669, 638, 9902, 686, 4548, 543, 22098, 269, 1879, 25884, 1007, 2833, 267, 1453, 2119, 547, 4612, 873, 538, 2474, 540, 1634, 5042, 6562, 553, 269, 769, 2013, 540, 17528, 267, 789, 991, 547, 4188, 741, 7664, 547, 519, 4641, 630, 19913, 3530, 614, 1299, 918, 2089, 267, 279, 628, 1196, 1040, 9122, 593, 1010, 10054, 267, 13100, 27600, 630, 4572, 277, 264, 6069, 602, 1126, 607, 513, 19157, 1367, 3356, 998, 2185, 1292, 5933, 540, 5042, 1646, 269, 2201, 519, 824, 1688, 267, 966, 17789, 1824, 5652, 630, 3192, 279, 264, 4843, 1914, 32241, 3069, 269, 966, 17789, 1824, 5652, 630, 3192, 279, 264, 13671, 593, 519, 1514, 5872, 1063, 1126, 543, 2937, 6236, 454, 309, 17789, 1824, 5652, 543, 13100, 27600, 723, 1082, 3604, 269, 966, 17789, 1824, 5652, 5156, 602, 519, 1126, 568, 513, 1514, 1373, 267, 543, 5042, 1646, 568, 3366, 676, 1514, 4205, 269, 13100, 27600, 267, 593, 519, 824, 1688, 2676, 6097, 547, 966, 17789, 1824, 5652, 5156, 602, 519, 1646, 540, 606, 1367, 4096, 593, 519, 1514, 2188, 267, 602, 1797, 1004, 1020, 2687, 519, 1514, 1604, 789, 616, 6534, 543, 519, 1919, 789, 2170, 609, 1282, 741, 2038, 5933, 538, 1272, 630, 298, 9926, 6081, 267, 476, 1220, 274, 1040, 634, 4661, 1934, 568, 602, 519, 1565, 543, 5042, 1646, 568, 8200, 593, 519, 1514, 4205, 602, 1453, 979, 998, 543, 1282, 741, 2038, 5933, 267, 602, 568, 9938, 2711, 7997, 543, 519, 1604, 723, 2101, 1909, 538, 1453, 1646, 269, 13100, 27600, 593, 519, 824, 1688, 267, 13187, 519, 5042, 1646, 538, 4830, 540, 1022, 5007, 1604, 543, 20383, 547, 519, 1453, 1646, 267, 4061, 6811, 602, 1453, 454, 5194, 3364, 13100, 27600, 779, 3069, 26218, 267, 543, 538, 1840, 547, 966, 17789, 1824, 5652, 779, 1914, 32241, 3069, 267, 966, 17789, 1824, 5652, 5059, 593, 1893, 1247, 4974, 519, 1480, 779, 5042, 1646, 630, 4565, 629, 5055, 4700, 966, 17789, 1824, 5652, 6594, 875, 513, 1126, 779, 1893, 10953, 607, 646, 6238, 547, 1332, 909, 543, 17358, 519, 1158, 543, 2528, 646, 779, 4947, 269, 3571, 2832, 729, 547, 1459, 519, 4644, 1893, 814, 593, 14379, 609, 1866, 543, 519, 2242, 621, 3123, 538, 519, 1158, 630, 4565, 629, 5055, 1040, 966, 17789, 1824, 5652, 3357, 909, 609, 513, 3069, 9967, 540, 5933, 602, 1169, 1268, 1995, 1354, 3384, 513, 2919, 5042, 4390, 630, 4565, 629, 5055, 1916, 14367, 3206, 729, 6766, 676, 13100, 27600, 267, 543, 966, 17789, 1824, 5652, 8362, 6836, 547, 20006, 513, 5188, 609, 13100, 27600, 827, 1978, 2798, 540, 22195, 892, 630, 29662, 1457, 1157, 1299, 28563, 342, 8636, 267, 476, 1220, 280, 267, 533, 269, 6200, 1040, 966, 17789 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 823, 2525, 273, 912, 1038, 2822, 597, 24503, 611, 2803, 263, 24503, 611, 2803, 31599, 1794, 334, 994, 1038, 2892, 597, 18989, 454, 825, 8640, 967, 823, 2525, 274, 912, 1038, 2892, 597, 18989, 454, 825, 3116, 912, 1038, 1820, 2891, 28926, 857, 11252, 11234, 320, 267, 642, 3241, 9366, 513, 8247, 541, 5979, 257, 9239, 0, 18851, 292, 18285, 796, 1982, 320, 6446, 751, 533, 5866, 19448, 9992, 848, 586, 19448, 13047, 267, 3097, 344, 533, 848, 1609, 657, 3611, 657, 635, 334, 1612, 5451, 5471, 549, 513, 19448, 1187, 857, 11252, 6446, 694, 1958, 1173, 541, 5451, 3097, 1372, 524, 3711, 3511, 547, 323, 553, 15255, 4938, 2297, 632, 3288, 9992, 848, 11188, 3288, 13047, 694, 548, 764, 542, 3385, 269, 3097, 28319, 565, 591, 5451, 3288, 1187, 857, 11252, 3288, 9992, 848, 1110, 881, 3385, 267, 586, 1714, 1982, 320, 9030, 3288, 791, 3234, 597, 5451, 1384, 306, 1120, 1470, 8776, 637, 2052, 334, 454, 20701, 3698, 642, 6600, 19189, 267, 341, 5914, 2187, 825, 4938, 2297, 6889, 2801, 328, 537, 4840, 825, 3803, 284, 3269, 454, 825, 585, 1775, 538, 2039, 630, 6352, 6600, 19189, 15892, 1038, 952, 9992, 848, 5157, 316, 538, 4938, 2297, 912, 2018, 3803, 23785, 341, 5914, 454, 1038, 3116, 912, 2018, 3803, 23785, 325, 19189, 5157, 2639, 825, 2132, 3803, 454, 325, 19189, 284, 6358, 2891, 4504, 1238, 345, 8619, 19448, 9992, 848, 281, 19515, 341, 5914, 284, 6358, 2891, 4504, 1238, 345, 8619, 19448, 13047, 281, 19515, 2745, 630, 341, 6600, 19189, 267, 341, 5914, 4297, 0, 320, 25507, 9272, 2891, 4504, 1238, 345, 8619, 796, 562, 14243, 1067, 334, 1303, 3266, 281, 27328, 321, 284, 6358, 2891, 4504, 1238, 345, 8619, 796, 5569, 281, 19515, 322, 284, 15615, 9272, 2891, 4504, 1238, 345, 8619, 796, 562, 14243, 1067, 334, 598, 1232, 574, 2297, 281, 27328, 2745, 630, 6943, 5416, 4917, 2745, 630, 6943, 6357, 4917, 2745, 630, 6943, 6262, 11723 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21390, 827, 14305, 568, 602, 621, 1797, 12270, 2200, 8449, 1851, 4247, 610, 2238, 269, 1717, 267, 713, 568, 1152, 3006, 519, 2013, 269, 8249, 616, 1419, 711, 7856, 14961, 1317, 1114, 4247, 610, 2238, 723, 1114, 4170, 543, 14422, 563, 2690, 1383, 267, 538, 1788, 2359, 267, 930, 6009, 949, 2154, 811, 942, 267, 2724, 267, 610, 4074, 982, 1866, 269, 769, 971, 2665, 267, 519, 1788, 9614, 1590, 21138, 811, 2200, 547, 891, 2565, 4247, 547, 2327, 519, 1788, 779, 1967, 563, 5194, 3765, 24483, 827, 14305, 568, 602, 621, 1797, 26084, 2200, 1102, 2716, 4601, 543, 14461, 569, 269, 2353, 6327, 568, 513, 8465, 1184, 602, 666, 581, 14661, 1759, 593, 14422, 610, 2242, 538, 4199, 8244, 269, 1280, 1383, 267, 538, 513, 1870, 4259, 267, 519, 6578, 14305, 949, 1689, 1759, 593, 2344, 2175, 610, 2242, 538, 6075, 3747, 269, 769, 891, 3871, 267, 519, 1870, 1590, 581, 2111, 547, 556, 718, 11229, 922, 2200, 547, 4431, 547, 891, 2242, 563, 763, 14305, 849, 3085, 1406, 1611, 602, 519, 2200, 616, 8655, 2899, 543, 2760, 14661, 269, 2353, 6327, 568, 606, 5571, 1184, 8506, 3586, 5464, 543, 11941, 547, 2327, 602, 2200, 616, 1031, 5688, 958, 563, 2690, 1383, 267, 538, 8804, 267, 519, 14305, 540, 9541, 1590, 581, 12649, 5781, 547, 2327, 602, 519, 14769, 568, 13988, 609, 519, 20090, 779, 3853, 543, 6859, 563, 5194, 31605, 827, 14305, 568, 602, 621, 1152, 10039, 547, 15889, 2200, 267, 971, 607, 2724, 610, 3937, 269, 1717, 267, 14305, 849, 10039, 547, 30608, 2200, 899, 942, 543, 4074, 269, 1452, 30608, 2200, 616, 1419, 811, 2565, 543, 3908, 982, 15889, 3283, 269, 1280, 1383, 267, 782, 20814, 942, 568, 2629, 538, 1788, 2359, 547, 2327, 602, 3785, 616, 6192, 593, 942, 543, 1369, 6578, 563, 2026, 596, 666, 1294, 267, 14305, 568, 513, 1950, 543, 8465, 1184, 602, 3340, 6297, 7156, 540, 2789, 2188, 267, 971, 607, 4199, 8244, 267, 14422, 267, 543, 3853, 269, 898, 779, 1898, 547, 1174, 602, 14305, 3085, 1406, 1611, 3160, 3892, 610, 3908, 3892, 540, 2200, 563, 21156, 267, 621, 779, 513, 6422, 1184, 602, 3340, 5571, 5464, 543, 11941, 547, 2327, 519, 6099, 946, 540, 2200, 269, 1635, 9319, 1455, 20887, 827, 14305, 267, 2043, 543, 3906, 666, 811, 3927, 21138, 741, 2200, 543, 3035, 741, 5551, 4093, 563, 8489, 519, 12910, 2353, 6327, 7880, 3990, 3245, 888, 763, 2262, 968, 718, 6327, 892, 2501, 689, 519, 5824, 2262, 968, 718, 665, 732, 1848, 634, 2262, 14305, 9232, 4016, 547, 4259, 11735, 610, 26471, 513, 1880, 6712, 267, 2179, 267, 610, 6712, 540, 1945, 585, 513, 1808, 3483, 610, 18579, 563, 763, 14305, 2501, 689, 519, 5824, 18772, 740, 268, 630, 26074, 968, 1729, 14615, 543, 519, 10902, 1327, 328, 630, 26074, 968, 2897, 26158, 634, 4999, 540, 891, 1079, 1913, 10522, 519, 2856, 540, 26471, 513, 1747, 267, 610, 6712, 540, 1945, 267, 585, 513, 1808, 3483, 563, 1103, 8804, 543, 9297, 267, 968, 718, 6327, 892, 4016, 547, 26084, 2200, 267, 971, 607, 2724, 267, 547, 1114, 3785, 610, 7341, 1759, 593, 741, 9228, 2956, 543, 10171, 540, 1967, 563, 763, 14305, 1523, 568, 3504, 543, 666, 581, 14360, 1394, 547, 519, 9998, 12977, 267, 1141, 2200, 941, 21248, 1759, 593, 519, 2146, 779, 2115, 269, 769, 2038, 7239, 267, 519, 14305, 729, 1419, 2944, 998, 1463, 1852, 676, 519, 15194, 1362, 610, 3844, 4058, 563, 4913, 267, 609, 519, 4417, 540, 2344, 2861, 11615, 267, 519, 14305, 814, 1831, 811, 18228, 543, 568, 1631, 5097, 2944, 998, 519, 2344, 7271, 540, 3761, 543, 3747, 563, 1103, 2413, 11615, 267, 14305, 568, 2629, 538, 4180, 602, 2200, 616, 1031, 7561, 543, 3927, 269, 1280, 1383, 267, 538, 3854, 14305, 267, 9520, 21138, 741, 7482, 547, 1114, 3785, 543, 4213, 1759, 593, 519, 9228, 1761, 2132, 593, 5092, 269, 901, 2337, 1463, 5092, 4724, 519, 1034, 9621, 543, 19311, 3255, 267, 7551, 2810, 519, 4346, 779, 2949, 4398, 563, 20118, 267, 5777, 1404, 513, 2629, 1909, 538, 782, 20814, 5370, 543, 2533, 538, 28068, 2200, 547, 1141, 789, 616, 1034, 2877, 269, 769, 513, 2344, 4346, 267, 5777, 616, 5462, 676, 519, 5872, 540, 3761, 543, 3747, 269, 1879, 3747, 585, 513, 1880, 1434, 610, 3028, 568, 1164, 267, 519, 3902, 786, 2333, 267, 28068, 811, 2200, 4724, 922, 2504, 269, 2201, 519, 824, 1688, 267, 950, 3747, 568, 1970, 267, 519, 3902, 786, 6175, 267, 4227, 519, 14305, 540, 2200, 547, 922, 2504, 563, 1103, 1840, 547, 519, 2344, 7271, 267, 14305, 666, 849, 581, 6766, 676, 2229, 4507, 543, 6042, 269, 1280, 1383, 267, 519, 2229, 949, 21138, 2200, 547, 1808, 9922, 998, 7616, 610, 24307, 267, 971, 607, 2069, 610, 3782, 563, 20118, 267, 2229, 6042, 543, 9204, 666, 849, 1764, 519, 14305, 540, 2200, 676, 7133, 519, 15314, 585, 4213, 543, 2043, 547, 21138, 741, 2200, 538, 513, 1880, 1259, 563, 1692, 2353, 6327, 4039, 919, 547, 19098, 888, 1103, 8051, 267, 14305, 11887, 519, 1942, 540, 6721, 513, 1587, 610, 3246, 513, 3028, 269, 901, 1344, 568, 1287, 1031, 547, 1711, 4977, 2883, 6898, 543, 1118, 5483, 3664, 827, 782, 20814, 2200, 538, 519, 2104, 563, 2690, 1383, 267, 513, 2754, 949, 21138, 2200, 547, 513, 1007, 1587, 1899, 1759, 593, 519, 4397, 8907, 621, 786, 5352, 610, 15814, 3790, 547, 1808, 13623, 1759, 593, 741, 6165, 540, 2200, 563, 763, 14305, 849, 4249, 513, 2629, 1909, 538, 1942, 8051, 269, 8779, 8051, 3322, 7421, 519, 1942, 540, 2504, 267, 1519, 1463, 543, 9940, 3790, 267, 543, 1210, 713, 1344, 547, 1118, 3664, 827, 14499, 543, 4199, 14305, 563, 3528, 8308, 782, 20814, 3790, 267, 513, 2754, 666, 3313, 519, 4890, 1942, 540, 2504, 543, 1118, 5483, 3664, 827, 14499, 267, 2504, 4320, 267, 543, 4199, 14305, 563, 1103, 1840, 267, 14305, 568, 1031, 547, 21138, 519, 3790, 540, 1279, 3856, 7221, 267, 971, 607, 3959, 267, 2030, 267, 543, 3937, 269, 901, 568, 2944, 998, 519, 1184, 540, 28595, 267, 799, 568, 513, 9836, 14305, 540, 519, 1942, 540, 606, 10697, 936, 922, 3730, 1272, 269, 3493, 21090, 568, 1031, 547, 3313, 519, 1871, 540, 606, 5092, 585, 2883, 8989, 5301, 543, 519, 2179, 540, 3454, 602, 513, 2754, 1590, 2628, 563, 7661, 267, 14305, 568, 849, 1031, 538, 519, 22343, 1184, 269, 769, 22343, 267, 606, 3919, 782, 665, 919, 2200, 547, 1585, 13623, 543, 2238, 1759, 593, 741, 14422, 543, 3853, 269, 1635, 8308, 782, 20814, 2200, 267, 513, 2754, 666, 2327, 602, 621, 814, 2614, 2200, 547, 2743, 922, 3853, 543, 6859, 1247, 9363, 1369, 922, 6578, 563, 274, 6201, 540, 2353, 6327, 9861, 13242, 538, 19098, 6657, 454, 7078, 1948, 272, 540, 2353, 6327, 9861, 13242, 538, 19098, 6657, 454, 5472, 20814, 519, 8779, 540, 6153, 338, 22307, 769, 8051, 267, 968, 322, 739, 540, 5370, 4421, 892, 630, 4596, 14899, 264, 4016, 547, 519, 1463, 3790, 2404, 609, 6721, 513, 1587, 610, 3246, 513, 3028, 269, 1452, 3790, 1331, 519, 6151, 2326, 267, 4074, 267, 543, 16841, 9276, 30309, 547, 3132, 519, 5370, 269, 2910, 14899, 568, 2629, 538, 8159, 513, 2754, 779, 14407, 7443, 1317, 621, 4564, 519, 1942, 540, 6721, 543, 9513, 513, 1587, 563, 3080, 1383, 540, 14305, 538, 8051, 2259, 568, 950, 513, 2754, 782, 665, 919, 519, 1942, 540, 5370, 4421, 547, 1142, 1587, 269, 901, 568, 2944, 547, 1174, 519, 1942, 540, 6721, 1142, 1587, 543, 2697, 519, 1034, 19311, 2472, 563, 763, 14305, 1184, 3322, 12270, 519, 2698, 2910, 14899, 676, 519, 1297, 540, 4559, 4421, 547, 12446, 693, 606, 3328, 1942, 829, 1770, 269, 901, 3328, 1942, 829, 1770, 568, 1287, 4294, 547, 1142, 1770, 540, 1587, 4421, 547, 3313, 519, 2910, 14899, 585, 602, 1808, 1587, 563, 1607, 14305, 1184, 568, 4105, 1317, 621, 2636, 519, 2754, 547, 8308, 3313, 519, 1942, 540, 6721, 1142, 1587, 269, 901, 1344, 568, 1287, 1031, 547, 1118, 5483, 1870, 3664, 971, 607, 14499, 2994, 267, 2504, 3664, 267, 543, 1942, 1852, 3800, 563, 2690, 1383, 267, 15475, 513, 2754, 30877, 602, 519, 1942, 540, 6721, 835, 1587, 568, 1454, 2362, 982, 519, 1942, 540, 6721, 1776, 269, 769, 602, 2013, 267, 621, 949, 3442, 547, 19944, 826, 519, 2362, 21057, 1587, 610, 1265, 2081, 547, 2569, 519, 1942, 540, 2504, 563, 7078, 1948, 273, 540, 2353, 6327, 9861, 13242, 538, 19098, 6657, 454, 3080, 1383, 540, 14305, 538, 8051, 2259, 568, 782, 20814, 9940, 3790, 547, 1114, 13623, 610, 2472, 1369, 513, 2754, 269, 1473, 1311, 3790, 267, 971, 607, 10519, 267, 20848, 267, 543, 5604, 7727, 267, 3112, 581, 2047, 14360, 547, 513, 1808, 1587, 610, 8257, 269, 1452, 3790, 1590, 581, 21248, 1851, 1114, 13623, 610, 2472, 547, 5173, 519, 1942, 540, 1142, 8308, 563, 2690, 1383, 267, 2015, 513, 5663, 2754, 609, 1614, 13623, 281, 2504, 267, 1382, 543, 1646, 267, 543, 7245, 269, 634, 2754, 814, 513, 2698, 9940, 1942, 540, 1269, 1911, 267, 1822, 585, 519, 1032, 267, 799, 2882, 10519, 267, 20848, 267, 543, 5604, 7727, 563, 763, 2754, 1522, 3313, 519, 8167, 540, 2230, 1142, 8257, 3096, 547, 21138, 891, 3790, 269, 1403, 2504, 3096, 476, 2412, 260, 540, 519, 2698, 2230, 267, 681, 22936, 3096, 476, 1789, 9077, 543, 7245, 3096, 476, 1789, 9077, 519, 2754, 1131, 21138, 476, 2412, 260, 540, 519, 9940, 3790, 547, 2504, 267, 476, 1789, 260, 547, 681, 22936, 267, 543, 476, 1789, 260, 547, 7245, 563, 9202, 267, 519, 2754, 1522, 21138, 9940, 3790, 1759, 593, 519, 1297, 540, 5520, 538, 1142, 8257, 269, 1403, 2504, 814, 476, 736, 5520, 267, 681, 22936, 814, 476, 1428, 267, 543, 7245, 814, 476, 1015, 267, 519, 2754, 1131, 21138, 9940, 3790, 1759, 593, 519, 5223, 540, 5520, 538, 1142, 8257, 563, 1103, 713, 1383, 267, 2504, 1131, 4309, 476, 2412, 260, 540, 519, 9940, 3790, 267, 681, 22936, 1131, 4309, 476, 1789, 9077, 543, 7245, 1131, 4309, 476, 1789, 18336, 7661, 267, 519, 2754, 1522, 21138, 9940, 3790, 1759, 593, 519, 1297, 540, 2472, 3812, 538, 1142, 8257, 269, 1403, 2504, 7472, 476, 1911, 271, 2472, 267, 681, 22936, 7472, 476, 4335, 267, 543, 7245, 7472, 9039, 267, 519, 2754, 1131, 21138, 9940, 3790, 1759, 593, 519, 5223, 540, 2472, 3812, 538, 1142, 8257, 563, 1103, 713, 1383, 267, 2504, 1131, 4309, 476, 6858, 260, 540, 519, 9940, 3790, 267, 681, 22936, 1131, 4309, 476, 1839, 9077, 543, 7245, 1131, 4309, 476, 279, 18336, 7078, 1948, 274, 540, 2353, 6327, 9861, 13242, 538, 19098, 6657, 454, 22428, 513, 5663, 2754, 7472, 1079, 2472, 281, 8605, 589, 543, 8605, 645, 269, 1677, 3313, 519, 1942, 540, 1142, 1587, 267, 519, 2754, 1590, 21138, 519, 12051, 16841, 3790, 267, 1519, 20848, 267, 10519, 267, 5826, 267, 543, 7727, 267, 1851, 824, 9276, 269, 634, 16841, 3790, 1590, 581, 8655, 547, 1142, 1587, 1759, 593, 519, 8167, 540, 2698, 3684, 3108, 1031, 547, 3132, 1142, 1587, 563, 2690, 1383, 267, 952, 519, 2754, 3096, 476, 2568, 260, 540, 519, 2698, 3684, 3108, 547, 3132, 8605, 589, 543, 476, 2412, 260, 547, 3132, 8605, 645, 267, 1287, 476, 2568, 260, 540, 519, 12051, 16841, 3790, 1131, 581, 21248, 547, 8605, 589, 543, 476, 2412, 260, 547, 8605, 645, 269, 634, 2754, 1131, 1287, 946, 519, 21248, 16841, 3790, 543, 519, 1463, 3790, 540, 1570, 543, 4074, 547, 5173, 519, 2698, 1942, 540, 1142, 1587, 563, 763, 14305, 540, 16841, 3790, 547, 1142, 1587, 568, 2565, 585, 519, 2754, 547, 8308, 3313, 519, 1942, 540, 5370, 4421, 543, 3902, 922, 2472, 8013, 569, 269, 634, 2754, 666, 946, 606, 14305, 1505, 547, 2327, 513, 4023, 543, 4977, 4605, 540, 519, 3790, 540, 6721, 1142, 1587, 563, 1692, 547, 1684, 8779, 2353, 6327, 538, 11822, 17778, 888, 21798, 14305, 666, 581, 1950, 267, 855, 621, 3085, 1406, 723, 547, 581, 269, 3371, 616, 2947, 2241, 3268, 585, 1942, 14305, 912, 3721, 476, 272, 281, 10576, 519, 26959, 2334, 10261, 547, 2142, 2353, 11343, 454, 763, 1101, 1900, 538, 1942, 14305, 568, 7114, 519, 3790, 602, 991, 547, 581, 21248, 269, 901, 2882, 1312, 1463, 543, 9940, 3790, 269, 6034, 3790, 666, 581, 3362, 14360, 547, 1808, 2472, 610, 2533, 267, 1247, 9940, 3790, 267, 971, 607, 10519, 543, 20848, 267, 3112, 563, 3721, 476, 273, 281, 7994, 519, 30785, 6396, 540, 8779, 2353, 6327 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 277, 5952, 1862, 994, 825, 630, 279, 267, 476, 271, 267, 476, 271, 269, 31404, 1862, 994, 825, 630, 280, 267, 476, 271, 267, 476, 271, 269, 276, 4510, 1862, 994, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 24699, 10031, 825, 8173, 825, 21188, 562, 28504, 815, 476, 275, 267, 476, 273, 454, 825, 21188, 6821, 267, 6402, 815, 1118, 8548, 10270, 3799, 28504, 994, 825, 21188, 1623, 5471, 686, 7458, 9078, 3855, 815, 27883, 328, 25814, 267, 272, 264, 585, 630, 328, 25814, 264, 538, 6402, 27994, 27007, 329, 267, 328, 267, 272, 264, 585, 630, 328, 25814, 264, 538, 6402, 2639, 825, 21188, 3113, 815, 1496, 343, 9792, 3799, 265, 333, 1070, 22131, 5471, 686, 7458, 9078, 3855, 2639, 825, 21188, 6402, 815, 4144, 329, 330, 14259, 14116, 1429, 267, 271, 994, 825, 21188, 10092, 815, 9598, 9230, 328, 267, 263, 329, 28504, 4297, 585, 630, 328, 25814, 28504, 264, 538, 6402, 994, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 32146, 10031, 825, 8173, 825, 21188, 3403, 815, 1412, 10472, 568, 513, 8799, 1554, 7055, 825, 21188, 10569, 267, 23876, 815, 31391, 20189, 4428, 2006, 9272, 994, 825, 21188, 1820, 23876, 454, 825, 476, 6200, 8099, 18733, 1911, 1911, 18733, 9826, 1822, 9340, 1911, 6200, 18733, 9826, 6200, 1822, 1822, 9340, 9340, 9340, 1015, 454, 825, 21188, 1232, 10757, 815, 1232, 1712, 20189, 4428, 2006, 263, 12399, 267, 16780, 10757, 994, 825, 21188, 1820, 1232, 10757, 2652, 3403, 454, 825, 6936, 454, 825, 21188, 1820, 476, 272, 269, 271, 265, 6352, 9272, 19422, 6352, 263, 16780, 10757, 8358, 279, 994, 825, 476, 273, 269, 6872, 2483, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 273, 10031, 825, 8173, 825, 21188, 689, 2979, 1104, 2845, 454, 825, 21188, 3403, 815, 1412, 10472, 568, 513, 8799, 1554, 7055, 825, 21188, 530, 815, 1496, 272, 269, 271, 265, 6358, 29644, 6262, 8358, 6352, 9272, 264, 585, 524, 538, 1305, 9272, 22708, 825, 21188, 661, 815, 910, 8999, 26028, 328, 265, 8421, 26028, 328, 267, 273, 264, 585, 530, 328, 538, 530, 994, 825, 21188, 1820, 661, 454, 825, 476, 274, 269, 2537, 2483, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 274, 10031, 825, 8173, 825, 21188, 31252, 272, 815, 1412, 2969, 294, 6311, 22721, 8980, 8980, 294, 2969, 24774, 28566, 8980, 2969, 8980, 6311, 8150, 2969, 8980, 6311, 290, 294, 6311, 8980, 288, 7055, 825, 21188, 31252, 273, 815, 1412, 294, 2969, 8980, 28566, 3722, 290, 3722, 288, 25353, 2969, 8150, 31769, 2969, 8980, 6311, 290, 294, 7563, 288, 2969, 290, 6311, 290, 16598, 7055, 825, 21188, 1820, 561, 14369, 5560, 3534, 272, 28504, 3534, 273, 994, 825, 476, 2918, 22562, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 275, 10031, 825, 8173, 825, 21188, 13279, 815, 1412, 2969, 24774, 7055, 825, 21188, 689, 4351, 1104, 3903, 454, 825, 21188, 6090, 815, 1496, 5257, 269, 21860, 263, 577, 4069, 6357, 1162, 264, 585, 737, 538, 1535, 9792, 263, 1015, 4297, 585, 1775, 538, 1535, 9792, 263, 736, 22708, 825, 21188, 15694, 272, 815, 1412, 8339, 21860, 263, 577, 4069, 263, 2102, 525, 264, 585, 1775, 538, 1535, 9792, 263, 1015, 4917, 825, 21188, 15694, 273, 815, 1412, 8339, 21860, 263, 577, 4069, 263, 2102, 525, 264, 585, 1775, 538, 1535, 9792, 263, 1015, 4917, 825, 21188, 1990, 815, 13549, 2006, 16062, 12584, 577, 263, 577, 668, 25593, 272, 267, 15694, 273, 994, 825, 21188, 2052, 11663, 6025, 1856, 8782, 23921, 548, 2006, 8862, 12584, 577, 262, 1040, 574, 19651, 18750, 1040, 338, 1511, 3488, 30502, 270, 928, 539, 548, 2006, 26666, 5073, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 276, 10031, 825, 8173, 825, 21188, 1219, 11973, 5416, 14720, 2187, 825, 3267, 672, 2132, 2979, 28460, 4433, 636, 9230, 343, 1532, 5157, 8079, 1262, 273, 585, 1775, 21726, 538, 26246, 5416, 21875, 825, 21188, 2798, 815, 20886, 12690, 3052, 320, 1380, 9217, 4939, 476, 276, 267, 271, 269, 274, 264, 585, 795, 538, 1535, 9792, 263, 1015, 13580, 585, 1775, 538, 1535, 9792, 263, 1220, 22708, 825, 21188, 524, 815, 1849, 13831, 263, 9557, 267, 13240, 994, 825, 21188, 678, 267, 13421, 815, 524, 26098, 263, 272, 264, 1948, 12440, 782, 2798, 2394, 835, 12440, 1152, 454, 825, 21188, 2052, 11663, 6025, 1856, 8782, 743, 755, 1359, 1383, 3299, 343, 18350, 8782, 323, 2700, 3299, 2643, 629, 8782, 15893, 540, 13421, 7055, 825, 3267, 11434, 15426, 7120, 6262, 6155, 323, 314, 5611, 281, 316, 1040, 338, 1511, 3488, 743, 755, 1359, 272, 26666, 5073, 825, 21188, 2052, 11663, 6025, 1856, 8782, 743, 755, 1359, 1383, 630, 273, 323, 16879, 264, 3299, 343, 18350, 8782, 335, 314, 271, 316, 3299, 2643, 629, 8782, 335, 314, 272, 316, 7055, 825, 3267, 11434, 15426, 749, 2354, 525, 8443, 335, 11468, 273, 316, 585, 533, 538, 2798, 316, 1040, 338, 1511, 3488, 743, 755, 1359, 273, 26666, 5073, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 277, 10031, 825, 8173, 825, 21188, 1273, 815, 20886, 314, 271, 267, 271, 3910, 1496, 271, 316, 3910, 20886, 271, 267, 272, 3910, 1496, 272, 316, 3910, 20886, 272, 267, 271, 3910, 1496, 272, 316, 3910, 20886, 272, 267, 272, 3910, 1496, 271, 14963, 2639, 825, 21188, 562, 815, 22532, 15187, 1740, 263, 273, 267, 476, 273, 267, 476, 272, 994, 825, 21188, 562, 6745, 1778, 263, 6312, 994, 825, 21188, 562, 6745, 652, 263, 6312, 994, 825, 1496, 271, 267, 476, 271, 316, 9847, 1496, 271, 269, 876, 1862, 2639, 825, 1496, 271, 267, 476, 272, 316, 9847, 1496, 271, 269, 7176, 1862, 2639, 825, 1496, 272, 267, 476, 271, 316, 9847, 1496, 271, 269, 7176, 1862, 2639, 825, 1496, 272, 267, 476, 272, 316, 9847, 30585, 271, 269, 876, 1862, 2639, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 279, 10031, 825, 8173, 825, 21188, 1219, 535, 3287, 2567, 2132, 1535, 20080, 268, 276, 269, 271, 20080, 454, 825, 21188, 1820, 535, 263, 271, 994, 825, 476, 271, 269, 271, 454, 825, 21188, 535, 272, 815, 667, 6600, 264, 1948, 1101, 12045, 454, 825, 21188, 1820, 535, 272, 263, 271, 994, 825, 910, 276, 269, 271, 454, 825, 21188, 535, 273, 815, 30250, 6600, 264, 1948, 2034, 12045, 454, 825, 21188, 1820, 535, 273, 263, 271, 994, 825, 476, 273, 269, 1822, 876, 2483, 825, 21188, 535, 273, 815, 667, 6600, 272, 264, 1948, 2034, 12045, 454, 825, 21188, 1820, 535, 273, 263, 271, 994, 825, 476, 272, 269, 15886, 4200, 2483, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 280, 10031, 825, 8173, 825, 21188, 2473, 815, 1496, 271, 269, 6734, 265, 328, 585, 1775, 538, 1535, 9792, 263, 1220, 22708, 825, 21188, 524, 815, 2052, 11663, 6025, 1856, 8782, 7562, 3287, 264, 4114, 574, 725, 5073, 825, 21188, 524, 19502, 8443, 263, 343, 267, 4118, 4732, 514, 3287, 4297, 585, 1535, 538, 2473, 3910, 5586, 754, 8782, 7562, 3287, 264, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 21726, 264, 585, 1535, 538, 2473, 11468, 1911, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 272, 560, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 21726, 14870, 1262, 274, 270, 277, 264, 585, 1535, 538, 2473, 11468, 1911, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 276, 628, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 21726, 14870, 1262, 274, 270, 277, 21147, 1262, 276, 270, 6344, 264, 585, 1535, 538, 2473, 11468, 1911, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 276, 628, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 4732, 1511, 3488, 30502, 4882, 514, 26666, 5073, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 271, 3445, 10031, 825, 8173, 825, 21188, 513, 815, 2979, 32564, 270, 273, 454, 825, 21188, 2473, 815, 1496, 271, 269, 6734, 265, 328, 585, 1775, 538, 1535, 9792, 263, 1220, 22708, 825, 21188, 524, 815, 2052, 11663, 6025, 1856, 8782, 7562, 3287, 264, 4114, 574, 725, 5073, 825, 21188, 524, 19502, 8443, 263, 343, 267, 4118, 4732, 514, 3287, 4297, 585, 1535, 538, 2473, 3910, 5586, 754, 8782, 7562, 3287, 264, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 267, 272, 24179, 343, 8584, 264, 1262, 273, 270, 273, 264, 585, 1535, 538, 2473, 11468, 5611, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 273, 526, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 267, 272, 24179, 343, 8584, 264, 1262, 273, 270, 273, 23444, 343, 8584, 264, 1262, 275, 270, 2190, 264, 585, 1535, 538, 2473, 11468, 5611, 316, 3910, 10828, 8782, 307, 11336, 476, 275, 628, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 267, 272, 24179, 343, 8584, 264, 1262, 273, 270, 273, 23444, 343, 8584, 264, 1262, 275, 270, 2190, 24179, 343, 8584, 264, 1262, 277, 270, 24798, 264, 585, 1535, 538, 2473, 11468, 5611, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 277, 628, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 4732, 1511, 3488, 30502, 4882, 514, 273, 26666, 5073, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 272, 10031, 825, 8173, 825, 21188, 585, 1775, 538, 1535, 9792, 263, 1015, 2187, 825, 3267, 672, 1535, 284, 476, 271, 269, 272, 265, 328, 454, 825, 3267, 672, 7682, 2612, 30044, 10339, 3287, 264, 910, 2979, 269, 10339, 3287, 4297, 2999, 476, 272, 324, 268, 275, 22562, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 273, 10031, 825, 8173, 825, 21188, 585, 1775, 538, 1535, 9792, 263, 1015, 2187, 825, 3267, 672, 1535, 284, 476, 271, 269, 272, 265, 328, 454, 825, 3267, 672, 7682, 2612, 9852, 903, 514, 3287, 264, 910, 2979, 4732, 514, 3287, 4297, 2999, 476, 272, 324, 268, 275, 22562, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 274, 10031, 825, 8173, 825, 21188, 585, 1775, 538, 1535, 9792, 263, 1015, 2187, 825, 3267, 672, 1535, 815, 476, 271, 269, 272, 265, 328, 454, 825, 3267, 672, 7682, 2612, 30044, 6523, 3287, 264, 910, 2979, 269, 6523, 3287, 4297, 2999, 476, 272, 324, 268, 275, 22562, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 275, 10031, 825, 8173, 825, 21188, 589, 815, 19336, 31912, 272, 269, 271, 267, 273, 269, 271, 25662, 274, 269, 271, 267, 275, 269, 271, 316, 7481, 825, 21188, 1820, 589, 1341, 589, 8587, 1948, 7125, 589, 14857, 5417, 9191, 288, 994, 825, 20886, 273, 269, 271, 267, 476, 275, 269, 271, 3910, 1496, 277, 269, 271, 267, 476, 279, 269, 271, 27663, 825, 21188, 1820, 589, 1341, 476, 273, 8587, 1948, 7125, 589, 14857, 5417, 9191, 273, 994, 825, 20886, 274, 269, 271, 267, 476, 273, 269, 271, 3910, 1496, 274, 269, 271, 267, 476, 277, 269, 271, 27663, 825, 21188, 1820, 589, 910, 476, 272, 8587, 1948, 7125, 589, 14857, 5417, 9191, 272, 994, 825, 20886, 271, 269, 271, 267, 476, 273, 269, 271, 3910, 1496, 274, 269, 271, 267, 476, 274, 269, 271, 27663, 825, 21188, 1820, 910, 288, 1363, 1948, 7125, 589, 14857, 10864, 1029, 4590, 825, 1496, 15631, 272, 269, 271, 267, 910, 273, 269, 271, 3910, 30585, 274, 269, 271, 267, 910, 275, 269, 271, 27663, 825, 21188, 1820, 476, 276, 910, 589, 8587, 1948, 7125, 589, 14857, 3464, 889, 9191, 276, 994, 825, 20886, 275, 269, 271, 267, 910, 273, 269, 271, 3910, 30585, 274, 269, 271, 267, 476, 272, 269, 271, 27663, 825, 21188, 536, 815, 19336, 31912, 272, 269, 271, 25662, 273, 269, 271, 25662, 274, 269, 271, 316, 7481, 825, 21188, 1820, 536, 1341, 476, 273, 8587, 1948, 7125, 536, 14857, 5417, 9191, 273, 994, 825, 20886, 274, 269, 271, 3910, 1496, 275, 269, 271, 3910, 1496, 276, 269, 271, 27663, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 271, 4817, 10031, 825, 8173, 825, 21188, 589, 815, 19336, 31912, 272, 267, 273, 25662, 274, 267, 275, 316, 7481, 825, 21188, 1820, 589, 1341, 476, 272, 329, 454, 825, 20886, 263, 272, 266, 272, 329, 1070, 630, 273, 266, 271, 329, 264, 3910, 27883, 274, 266, 271, 329, 1070, 630, 275, 266, 272, 329, 13580, 2639, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 277, 10031, 825, 8173, 825, 21188, 589, 815, 19336, 31912, 272, 269, 271, 267, 273, 269, 271, 25662, 274, 269, 271, 267, 275, 269, 271, 316, 7481, 825, 21188, 1820, 263, 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 ]
[ 7992, 938, 4703, 563, 7312, 5450, 20326, 15580, 1975, 833, 568, 4477, 6244, 676, 4826, 454, 763, 10894, 2557, 540, 519, 1480, 1560, 786, 2333, 676, 909, 547, 476, 1789, 260, 952, 621, 27499, 476, 1626, 13728, 1216, 829, 5662, 269, 901, 666, 1291, 547, 513, 4028, 4473, 538, 10307, 585, 519, 1985, 476, 1789, 268, 2412, 3764, 269, 3194, 5267, 602, 596, 666, 6336, 811, 2597, 676, 6704, 3368, 540, 707, 1560, 2597, 538, 13728, 1142, 1554, 269, 26100, 848, 568, 606, 11747, 602, 1590, 581, 15181, 676, 707, 1560, 547, 20834, 1125, 3170, 269, 898, 568, 1655, 547, 1205, 7759, 540, 621, 269, 4826, 568, 606, 1898, 5057, 538, 1437, 908, 9067, 848, 563, 12850, 29452, 2659, 4518, 8083, 13724, 2201, 589, 8426, 983, 5426, 454, 12850, 568, 1898, 585, 2635, 2281, 269, 25530, 2614, 1216, 786, 948, 596, 3635, 693, 513, 10408, 1377, 269, 5525, 1397, 602, 12675, 16608, 3635, 568, 1034, 4299, 676, 18024, 563, 19187, 20697, 568, 849, 1271, 547, 11694, 707, 23736, 269, 1717, 267, 1810, 1405, 4235, 707, 3003, 1216, 11480, 1318, 1354, 596, 1376, 707, 8400, 269, 10281, 1674, 568, 1883, 547, 2773, 538, 782, 3029, 540, 3635, 269, 1717, 267, 6704, 1216, 1991, 547, 513, 15904, 666, 1118, 596, 1745, 22376, 1375, 880, 543, 6336, 1445, 269, 1677, 1205, 6251, 547, 707, 8445, 2773, 267, 4235, 513, 4837, 540, 1216, 1063, 476, 736, 543, 476, 1789, 3764, 1354, 596, 1376, 707, 1985, 15904, 269, 1403, 2556, 267, 1491, 1507, 521, 2354, 782, 519, 1259, 998, 563, 12850, 568, 849, 1271, 585, 707, 1560, 781, 1648, 4859, 543, 7939, 269, 4826, 568, 2838, 547, 6125, 609, 25026, 4094, 538, 1931, 547, 1118, 606, 1648, 15395, 538, 707, 6091, 630, 21406, 21085, 1040, 1411, 616, 1447, 2111, 547, 4558, 1648, 1510, 1216, 1317, 596, 723, 1447, 5135, 538, 707, 4887, 267, 1447, 1973, 2095, 950, 13204, 3603, 543, 1447, 6765, 543, 16345, 25026, 4094, 547, 1118, 519, 1648, 596, 991, 269, 4746, 267, 4235, 2614, 1216, 547, 1832, 596, 10069, 1242, 563, 7804, 9722, 4826, 1280, 16164, 11588, 454, 2005, 666, 2014, 4049, 2960, 3441, 952, 596, 616, 5393, 13204, 3603, 269, 769, 4049, 2665, 540, 18024, 267, 2960, 949, 6336, 930, 540, 922, 22786, 543, 1491, 593, 513, 834, 339, 550, 532, 1198, 1701, 4014, 972, 568, 1100, 2963, 547, 1397, 602, 1216, 666, 1118, 513, 3017, 538, 2960, 267, 1216, 786, 979, 2786, 547, 707, 1898, 8219, 1101, 269, 1717, 267, 1082, 1004, 1867, 30437, 2960, 543, 20501, 2960, 1310, 2810, 741, 1216, 6981, 269, 898, 3085, 1405, 10413, 547, 4235, 1216, 269, 1411, 786, 849, 581, 7303, 4049, 18024, 971, 607, 3819, 267, 9395, 610, 28349, 2960, 563, 2791, 4024, 17547, 4825, 8724, 21418, 29079, 15907, 2659, 28438, 454, 15152, 31378, 25858, 1465, 666, 2014, 513, 18476, 3017, 538, 2960, 9403, 269, 25530, 1164, 1606, 18754, 3536, 267, 2523, 693, 3781, 267, 543, 711, 6704, 2614, 1216, 666, 2014, 4430, 12862, 547, 1628, 909, 1472, 707, 4064, 269, 901, 666, 1291, 547, 811, 25858, 1465, 896, 519, 4064, 563, 18455, 19872, 666, 2569, 25858, 1465, 1472, 519, 4064, 269, 645, 18847, 1899, 281, 4826, 568, 4105, 585, 4509, 513, 2635, 1560, 269, 1717, 267, 1216, 666, 849, 948, 2569, 896, 31378, 25858, 1465, 563, 1692, 13518, 4826, 9701, 1284, 27276, 1677, 13773, 10281, 3603, 888, 2414, 5173, 875, 1454, 1216, 596, 2154, 267, 7941, 707, 2597, 676, 3368, 543, 1287, 4235, 519, 4611, 2179, 538, 13728, 269, 1403, 596, 616, 476, 9610, 7273, 267, 596, 786, 991, 547, 8532, 476, 3583, 13728, 3232, 563, 2791, 1810, 1405, 723, 547, 4235, 1216, 952, 596, 5749, 1405, 513, 10178, 540, 1216, 269, 1717, 267, 596, 666, 3289, 3433, 609, 1216, 11656, 3536, 269, 634, 2817, 6298, 12562, 540, 3163, 267, 7177, 267, 543, 6925, 15565, 513, 3232, 6981, 540, 476, 10219, 13728, 829, 1554, 585, 2367, 543, 476, 11011, 585, 2021, 269, 1452, 2338, 3277, 547, 707, 2698, 5714, 6981, 543, 1331, 1022, 1426, 5627, 1216, 971, 607, 5613, 610, 5388, 269, 1411, 666, 1102, 2224, 513, 1216, 11480, 630, 933, 2648, 11993, 4248, 264, 609, 5613, 610, 5388, 547, 1118, 707, 1378, 838, 320, 1216, 269, 2107, 267, 596, 666, 1039, 513, 8929, 4837, 610, 1079, 540, 10433, 547, 513, 476, 1015, 268, 8784, 11480, 547, 2285, 621, 513, 2370, 811, 8137, 269, 901, 786, 1267, 538, 3648, 2539, 4006, 982, 10438, 519, 10433, 676, 3294, 563, 5978, 6178, 1155, 8605, 454, 3918, 309, 3951, 3201, 3041, 32723, 715, 22021, 17667, 8131, 13813, 454, 347, 17442, 3213, 2946, 1087, 10378, 11555, 309, 3951, 3201, 3041, 32723, 568, 513, 476, 1911, 260, 6986, 543, 16138, 5109, 5567, 25579, 5109, 5214, 3068, 3282, 269, 20153, 10184, 24025, 540, 476, 1428, 5214, 8770, 1673, 1619, 267, 3532, 27386, 338, 883, 513, 3623, 5652, 1606, 15879, 1054, 9403, 20205, 519, 11108, 1379, 547, 26016, 1125, 267, 11177, 267, 2149, 543, 3666, 2960, 269, 347, 0, 12850, 5533, 5037, 281, 1284, 991, 547, 4235, 1216, 547, 7639, 269, 1924, 972, 568, 513, 991, 585, 2973, 1216, 269, 1403, 649, 1810, 1406, 4235, 2973, 1216, 649, 786, 1205, 7210, 269, 1924, 2221, 649, 786, 917, 827, 519, 3123, 543, 14319, 540, 1216, 5533, 269, 2334, 568, 267, 2221, 649, 786, 917, 1216, 5533, 5037, 585, 1362, 476, 280, 1299, 1866, 563, 12850, 5533, 5037, 476, 7742, 1913, 454, 763, 2956, 540, 1216, 568, 10373, 269, 1284, 991, 1216, 585, 1272, 269, 1411, 991, 1216, 547, 7639, 269, 1809, 952, 713, 1216, 4991, 26130, 267, 1287, 519, 1216, 786, 2014, 2800, 547, 721, 269, 6271, 2012, 585, 1216, 568, 1272, 269, 1809, 519, 824, 2012, 585, 26130, 1216, 568, 2669, 269, 1924, 649, 723, 547, 3247, 1216, 5533, 269, 4826, 5533, 568, 519, 5533, 540, 1216, 4703, 543, 8933, 607, 513, 1267, 540, 1480, 2534, 269, 4826, 4703, 1611, 8933, 267, 15798, 267, 11895, 4224, 6106, 267, 3092, 269, 1879, 1216, 14107, 616, 1459, 538, 519, 1216, 267, 519, 1216, 568, 26130, 563, 12850, 12526, 2164, 538, 12159, 540, 519, 5117, 540, 519, 1604, 269, 1403, 596, 4235, 13572, 1216, 267, 1082, 3676, 616, 811, 1455, 269, 4826, 25645, 3676, 6146, 6634, 540, 1004, 5001, 1142, 1032, 269, 25530, 13572, 1216, 666, 1291, 547, 3676, 971, 607, 26601, 5028, 267, 7988, 550, 2044, 267, 27193, 1355, 267, 13165, 267, 7181, 13347, 543, 21399, 538, 519, 2960, 540, 519, 3946, 543, 3952, 563, 12850, 666, 581, 13572, 538, 1082, 2081, 269, 1280, 1383, 267, 28876, 540, 12418, 267, 1519, 12418, 543, 10889, 531, 3996, 267, 4259, 909, 4234, 21218, 2059, 519, 8492, 540, 519, 5757, 267, 4730, 609, 519, 3653, 1570, 540, 519, 12051, 538, 519, 5757, 267, 18530, 519, 1286, 322, 13293, 540, 2831, 883, 519, 5757, 267, 13851, 540, 6694, 2244, 666, 3575, 609, 519, 5757, 543, 519, 1216, 666, 581, 26130, 269, 634, 1216, 666, 849, 581, 13572, 269, 1717, 267, 1480, 2534, 3123, 519, 1034, 1216, 5533, 269, 1284, 616, 31362, 6000, 1813, 547, 1216, 5533, 563, 3383, 649, 723, 547, 960, 547, 2061, 1216, 5533, 269, 769, 713, 2013, 267, 621, 568, 2556, 547, 960, 593, 1857, 17376, 10675, 543, 4357, 7341, 269, 634, 2229, 666, 1118, 1004, 3222, 540, 519, 476, 1571, 540, 1216, 5533, 676, 12180, 1585, 29468, 269, 2311, 519, 1482, 942, 267, 7641, 9055, 267, 1519, 1514, 2923, 267, 666, 5031, 519, 859, 2812, 540, 1216, 5533, 538, 1114, 2081, 538, 4395, 540, 1004, 269, 1284, 786, 13948, 2119, 547, 1118, 1004, 3222, 540, 519, 5739, 3344, 540, 1216, 5533, 563, 2691, 1585, 17694, 616, 6404, 538, 1216, 543, 519, 1216, 568, 4652, 527, 585, 6704, 543, 519, 1216, 568, 8035, 762, 267, 621, 568, 1572, 1216, 5533, 269, 634, 1216, 568, 26130, 538, 1082, 2081, 269, 4826, 568, 1898, 585, 938, 6668, 269, 1809, 950, 519, 1216, 568, 26130, 267, 952, 649, 4235, 602, 1216, 267, 649, 666, 1205, 7210, 269, 5272, 1032, 267, 6634, 540, 1004, 1472, 519, 1158, 5884, 689, 1216, 25645, 3676, 269, 6270, 607, 26601, 5028, 267, 7988, 550, 2044, 267, 27193, 1355, 267, 13165, 267, 7181, 13347, 543, 21399, 538, 519, 2960, 540, 519, 3946, 543, 3952, 267, 3092, 269, 4826, 666, 581, 13572, 538, 1082, 2081, 563, 2690, 1383, 267, 952, 513, 4234, 9068, 568, 5116, 1985, 547, 513, 11432, 610, 5757, 267, 950, 3114, 13851, 1031, 538, 519, 2361, 616, 6404, 609, 1216, 267, 519, 1216, 568, 13572, 950, 519, 3653, 2326, 540, 519, 12051, 616, 6404, 609, 1216, 269, 18766, 689, 713, 267, 6704, 1216, 5627, 28227, 2306, 1004, 7210, 269, 2334, 779, 1946, 649, 991, 547, 3247, 1216, 5533, 563, 3528, 2542, 1216, 5533, 5037, 585, 521, 2675, 267, 596, 949, 1224, 891, 2376, 849, 912, 2414, 2061, 1216, 5533, 267, 649, 786, 711, 4734, 608, 920, 3279, 538, 519, 1930, 267, 649, 786, 711, 12235, 20203, 16382, 621, 568, 267, 649, 786, 711, 946, 3606, 3114, 18168, 543, 13851, 267, 649, 723, 547, 2087, 519, 12775, 1062, 269, 769, 1840, 267, 3800, 1058, 581, 3144, 547, 2061, 1216, 5533, 998, 4357, 11036, 563, 4263, 1585, 2053, 267, 1216, 666, 581, 13572, 1813, 547, 2067, 12469, 971, 607, 17160, 269, 3973, 649, 666, 1118, 12417, 547, 2973, 519, 1216, 538, 1114, 2081, 269, 6270, 607, 14495, 1216, 267, 11544, 6464, 538, 1216, 543, 1625, 4328, 1216, 267, 3092, 269, 25530, 13572, 1216, 5012, 547, 1585, 3676, 267, 1519, 13165, 269, 1403, 649, 1616, 547, 2057, 1216, 25645, 3676, 267, 649, 723, 547, 2061, 1216, 5533, 269, 1280, 713, 267, 1857, 543, 4357, 7341, 616, 2877, 563, 17484, 540, 1216, 5533, 5037, 585, 554, 2675, 1299, 782, 454, 2171, 917, 865, 2484, 1216, 5533, 5037, 585, 521, 2675, 269, 1284, 4121, 875, 1216, 568, 26130, 543, 2081, 547, 2061, 1216, 5533, 269, 16593, 713, 5037, 786, 581, 3730, 585, 721, 269, 24225, 568, 1271, 538, 981, 269, 4826, 5533, 5037, 476, 7742, 1913, 2052, 596, 2995, 721, 707, 8292, 827, 519, 5037, 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 ]
[ 0, 531, 8224, 815, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 834, 1477, 12072, 15461, 16229, 815, 9598, 18750, 760, 263, 531, 8224, 267, 2039, 12759, 263, 531, 8224, 4297, 17903, 8161, 15461, 318, 12072, 815, 9598, 18750, 760, 263, 9792, 12759, 263, 531, 8224, 24270, 9904, 17903, 5897, 3698, 17278, 9852, 20687, 267, 6521, 284, 274, 8029, 825, 29905, 815, 834, 257, 5897, 825, 585, 4484, 538, 5048, 6769, 1038, 1297, 815, 630, 12072, 15461, 16229, 314, 12072, 316, 1341, 6521, 264, 4939, 7003, 263, 12072, 15461, 16229, 3418, 1038, 4484, 815, 4994, 15461, 318, 12072, 314, 15893, 15947, 1038, 29905, 6834, 4484, 5897, 825, 2132, 29905, 24653, 3698, 1232, 7973, 6262, 8327, 267, 6521, 284, 274, 8029, 825, 1232, 7973, 539, 815, 834, 257, 5897, 825, 585, 4484, 538, 29905, 6769, 1038, 1297, 815, 630, 12072, 15461, 16229, 314, 12072, 316, 910, 6521, 264, 4939, 7003, 263, 12072, 15461, 16229, 3418, 1038, 4484, 815, 4994, 15461, 318, 12072, 314, 15893, 15947, 1038, 1232, 7973, 539, 6834, 4484, 5897, 825, 2132, 1232, 7973, 539, 24653, 258, 1219, 1292, 28399, 258, 672, 5048, 815, 1412, 3430, 871, 520, 12158, 262, 1477, 258, 672, 29905, 815, 17278, 9852, 20687, 267, 6521, 284, 274, 3418, 258, 672, 1232, 7973, 539, 815, 1232, 7973, 6262, 8327, 267, 6521, 284, 274, 3418, 258, 1477, 258, 672, 1820, 3488, 24314, 5048, 281, 1412, 1341, 5048, 3418, 258, 672, 1820, 3488, 21886, 7973, 539, 5048, 281, 1412, 1341, 29905, 3418, 258, 672, 1820, 3488, 13356, 7973, 539, 5048, 281, 1412, 1341, 1232, 7973, 539, 3418, 258, 1477, 258, 1292, 3890, 0, 5228, 1448, 8170, 10501, 557, 1104, 8672, 8170, 10501, 557, 267, 3406, 318, 4650, 454, 5228, 15040, 1104, 6178, 1155, 17653, 1807, 454, 5228, 19027, 1104, 6178, 1155, 19723, 881, 1807, 692, 3698, 568, 318, 18905, 3799, 2187, 825, 952, 562, 2999, 476, 273, 912, 1038, 2132, 8771, 454, 825, 3116, 912, 1038, 585, 1775, 538, 2039, 263, 273, 267, 562, 2187, 2018, 952, 1775, 2608, 1775, 3436, 562, 912, 3546, 2736, 454, 2018, 8640, 562, 4939, 1775, 2652, 476, 271, 912, 3546, 2132, 8771, 454, 1038, 2132, 6936, 454, 258, 1492, 1599, 2132, 5021, 6305, 1931, 563, 3698, 3406, 10734, 848, 318, 4812, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 2187, 825, 22917, 815, 910, 272, 454, 825, 683, 340, 815, 910, 272, 454, 825, 3193, 318, 4650, 815, 910, 272, 454, 825, 585, 1535, 538, 2039, 9638, 10501, 557, 2187, 1038, 585, 586, 538, 2039, 9638, 10501, 557, 2187, 2018, 952, 630, 344, 2608, 586, 264, 4939, 533, 10501, 557, 2652, 16733, 343, 2878, 476, 274, 264, 1341, 630, 320, 10501, 557, 2608, 1535, 264, 1341, 536, 10501, 557, 264, 4939, 533, 10501, 557, 912, 3546, 1448, 815, 8672, 8170, 10501, 557, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 267, 1535, 267, 586, 994, 3546, 1448, 269, 4650, 815, 3406, 318, 4650, 263, 4812, 994, 3546, 1820, 1412, 27237, 6305, 1931, 24222, 9612, 8921, 8672, 7055, 3546, 952, 568, 318, 18905, 263, 4812, 269, 4650, 2187, 7386, 952, 3193, 318, 4650, 2999, 1448, 269, 4650, 912, 13376, 1820, 1412, 28269, 1931, 568, 1336, 256, 7055, 13376, 1820, 1412, 4650, 2433, 22207, 1448, 269, 4650, 454, 13376, 1820, 1412, 343, 2433, 22207, 1535, 454, 13376, 1820, 1412, 344, 2433, 22207, 586, 454, 13376, 22917, 815, 1535, 454, 13376, 683, 340, 815, 586, 454, 13376, 3193, 318, 4650, 815, 1448, 269, 4650, 22562, 825, 7682, 22917, 3436, 910, 272, 543, 683, 340, 3436, 910, 272, 543, 3193, 318, 4650, 3436, 910, 272, 267, 834, 2207, 305, 3036, 2433, 9612, 568, 674, 9229, 4840, 825, 2132, 22917, 267, 683, 340, 7531, 3698, 5173, 318, 1723, 26476, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 267, 1931, 2187, 825, 1990, 815, 476, 271, 454, 825, 585, 1535, 538, 2039, 9638, 10501, 557, 2187, 1038, 585, 586, 538, 2039, 9638, 10501, 557, 2187, 2018, 952, 630, 344, 2608, 586, 264, 4939, 533, 10501, 557, 2652, 16733, 343, 2878, 476, 274, 264, 1341, 630, 320, 10501, 557, 2608, 1535, 264, 1341, 536, 10501, 557, 264, 4939, 533, 10501, 557, 912, 3546, 1990, 6834, 476, 272, 454, 825, 1820, 1990, 454, 825, 1820, 1412, 1723, 26476, 281, 22207, 1990, 1315, 1931, 692, 3698, 1292, 10031, 825, 1948, 335, 815, 476, 1556, 454, 825, 1948, 320, 815, 476, 272, 454, 825, 1948, 321, 815, 476, 277, 454, 825, 1820, 2891, 11960, 7052, 1262, 25929, 6347, 6178, 1155, 20594, 5602, 825, 1820, 2891, 11767, 519, 476, 7455, 2609, 586, 317, 273, 24210, 317, 274, 266, 513, 2608, 1535, 1341, 536, 19515, 825, 513, 10501, 557, 25507, 9272, 2891, 10938, 519, 1871, 540, 513, 282, 27328, 825, 536, 10501, 557, 25507, 9272, 2891, 10938, 519, 1871, 540, 536, 282, 27328, 825, 533, 10501, 557, 25507, 9272, 2891, 10938, 519, 1871, 540, 623, 630, 18905, 5148, 834, 11723, 825, 544, 815, 3863, 17750, 2891, 10938, 519, 5048, 547, 1129, 324, 281, 19515, 825, 1820, 9852, 2020, 825, 1535, 267, 586, 815, 3406, 10734, 848, 318, 4812, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 994, 8931, 825, 1448, 815, 8672, 8170, 10501, 557, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 267, 1535, 267, 586, 994, 825, 1448, 269, 4650, 815, 3406, 318, 4650, 263, 4812, 994, 825, 5173, 318, 1723, 26476, 9638, 10501, 557, 28083, 10501, 557, 14720, 10501, 557, 267, 4812, 269, 4650, 994, 8931, 825, 521, 326, 815, 6178, 1155, 17653, 1807, 263, 4812, 267, 544, 994, 825, 533, 330, 815, 521, 326, 10947, 7272, 3016, 318, 4486, 4590, 825, 1820, 1412, 304, 2433, 3299, 533, 330, 22562, 825, 678, 267, 521, 815, 521, 326, 10947, 5334, 793, 1155, 4590, 825, 454, 825, 521, 341, 815, 6178, 1155, 19723, 881, 1807, 263, 4812, 267, 544, 994, 825, 521, 341, 269, 591, 1518, 8548, 20687, 16868, 267, 521, 267, 533, 330, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 5228, 4604, 1104, 4258, 1087, 4580, 267, 4351, 318, 4580, 454, 5228, 24626, 1104, 10830, 290, 3916, 6883, 22069, 591, 267, 3244, 4327, 2304, 928, 2718, 22069, 591, 454, 5228, 5299, 1104, 2620, 32476, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 2891, 5425, 476, 22213, 271, 5741, 476, 273, 5602, 825, 1820, 2891, 333, 268, 4302, 839, 24626, 15419, 825, 562, 815, 476, 279, 692, 825, 1247, 562, 11203, 476, 271, 912, 1038, 1820, 2891, 2411, 5602, 1038, 1820, 2891, 13911, 538, 519, 10155, 540, 519, 4604, 267, 610, 476, 271, 547, 14827, 281, 5602, 1038, 562, 815, 703, 9272, 15405, 1038, 1820, 10797, 1038, 952, 562, 2652, 476, 271, 912, 2018, 3136, 692, 1038, 536, 815, 4351, 318, 4580, 3799, 2020, 1038, 1820, 2891, 17653, 730, 15079, 343, 24001, 4604, 281, 2668, 8971, 3799, 267, 562, 4917, 1038, 1820, 6357, 994, 1038, 646, 22618, 815, 536, 269, 20813, 26555, 4590, 1038, 1820, 2891, 10831, 540, 7526, 815, 2580, 646, 22618, 267, 1412, 315, 333, 17210, 1038, 1948, 10830, 29725, 6883, 8827, 454, 1038, 554, 322, 815, 10830, 290, 3916, 6883, 22069, 591, 6357, 267, 562, 994, 1038, 3070, 20189, 322, 815, 554, 322, 4732, 9876, 10797, 1038, 1820, 2891, 295, 650, 29725, 6883, 8827, 281, 5602, 1038, 1820, 4433, 1828, 20189, 322, 994, 1038, 646, 22618, 20189, 322, 815, 3070, 20189, 322, 269, 20813, 26555, 4590, 1038, 1820, 2891, 10831, 540, 7526, 815, 2580, 646, 22618, 20189, 322, 994, 1038, 1820, 2891, 306, 22066, 281, 15079, 2668, 8971, 2891, 312, 2464, 257, 952, 646, 22618, 20189, 322, 2652, 476, 271, 3116, 834, 17472, 27363, 1038, 1820, 10797, 1038, 1948, 3244, 4327, 14732, 2718, 454, 1038, 554, 322, 815, 3244, 4327, 2304, 928, 2718, 22069, 591, 6357, 267, 562, 994, 1038, 3070, 20189, 322, 815, 554, 322, 4732, 9876, 10797, 1038, 1820, 2891, 8245, 4327, 14732, 2718, 8827, 281, 5602, 1038, 1820, 4433, 1828, 20189, 322, 994, 1038, 646, 22618, 20189, 322, 815, 3070, 20189, 322, 269, 20813, 26555, 4590, 1038, 1820, 2891, 10831, 540, 7526, 815, 2580, 646, 22618, 20189, 322, 994, 1038, 1820, 2891, 306, 22066, 281, 15079, 2668, 8971, 2891, 312, 2464, 257, 952, 646, 22618, 20189, 322, 2652, 476, 271, 3116, 834, 17472, 8442, 2020, 1038, 1820, 4590, 0, 258, 7611, 1362, 692, 258, 12041, 281, 15623, 13100, 3430, 692, 5035, 3296, 10031, 453, 2889, 13940, 528, 815, 7183, 1948, 2012, 540, 7548, 3450, 519, 1576, 454, 453, 7611, 815, 7183, 1948, 3296, 6003, 267, 1915, 454, 453, 5503, 815, 7183, 1948, 1376, 942, 454, 453, 323, 4851, 815, 7183, 1948, 8653, 540, 1362, 454, 453, 331, 6327, 815, 7183, 1948, 4087, 540, 1362, 454, 453, 523, 2651, 618, 815, 7183, 1948, 2875, 27350, 538, 713, 3296, 540, 1362, 7531, 453, 258, 9616, 281, 6810, 616, 21630, 676, 741, 3296, 1915, 563, 22592, 6449, 8181, 9191, 1345, 267, 2889, 13940, 528, 267, 7611, 267, 5503, 28504, 4851, 267, 331, 6327, 267, 523, 2651, 618, 2187, 453, 19677, 15630, 23178, 263, 2889, 13940, 528, 994, 453, 19677, 15630, 4089, 263, 7611, 269, 21639, 15405, 453, 19677, 15630, 11742, 263, 5503, 994, 453, 19677, 15630, 291, 4851, 630, 323, 4851, 994, 453, 19677, 15630, 19613, 10857, 6327, 994, 453, 19677, 15630, 5319, 2651, 618, 263, 523, 2651, 618, 264, 8528, 453, 258, 7021, 8586, 9949, 5569, 1505, 269, 4024, 1152, 2132, 519, 3296, 1915, 563, 22592, 6449, 1598, 9191, 1345, 2187, 453, 16596, 1582, 269, 7611, 692, 453, 258, 3553, 1562, 585, 782, 4632, 454, 22592, 1305, 23178, 4311, 267, 2889, 13940, 528, 2567, 1948, 29019, 711, 2270, 1022, 2338, 454, 453, 22610, 1347, 538, 7548, 912, 4848, 14851, 1347, 18994, 323, 13424, 10031, 15235, 13537, 2891, 1103, 20777, 7548, 3403, 269, 7905, 4408, 798, 711, 2270, 2338, 26142, 333, 5602, 15235, 13537, 2891, 9377, 5435, 532, 547, 7548, 585, 7548, 5602, 15235, 19677, 269, 2889, 13940, 528, 815, 834, 2889, 13940, 528, 4840, 15235, 16596, 454, 453, 19677, 269, 2889, 13940, 528, 815, 7548, 692, 22592, 1305, 4089, 4311, 267, 10420, 2567, 1948, 952, 2016, 2789, 3197, 798, 4986, 454, 453, 14851, 7003, 263, 10420, 264, 3436, 476, 272, 281, 1948, 28717, 331, 4660, 3403, 454, 4848, 13537, 19629, 333, 19152, 1590, 581, 513, 2582, 1915, 269, 7151, 281, 645, 1422, 333, 257, 12467, 4848, 13537, 2891, 9377, 5435, 532, 547, 589, 585, 3296, 14826, 14826, 5602, 4848, 19677, 269, 7611, 815, 257, 288, 4840, 453, 28432, 912, 4848, 19677, 269, 7611, 815, 1347, 692, 22592, 1305, 11742, 4311, 267, 5503, 2567, 1948, 1590, 581, 513, 5569, 540, 1106, 1297, 281, 15893, 454, 453, 453, 6358, 307, 340, 921, 815, 942, 269, 4820, 819, 2891, 281, 8442, 1948, 4958, 5281, 24042, 20886, 15893, 3910, 11468, 25662, 15893, 316, 6540, 453, 14851, 3403, 307, 340, 921, 314, 271, 4940, 529, 323, 13424, 3890, 543, 7003, 9272, 307, 340, 921, 314, 271, 8079, 10922, 476, 273, 476, 543, 3403, 307, 340, 921, 314, 6352, 9272, 307, 340, 921, 9984, 272, 4940, 529, 323, 13424, 3890, 543, 7003, 9272, 307, 340, 921, 314, 6352, 9272, 307, 340, 921, 9984, 272, 8079, 10922, 476, 273, 912, 4848, 19677, 28333, 815, 942, 692, 453, 28432, 912, 4848, 13537, 9497, 19152, 1590, 581, 513, 942, 269, 7151, 281, 476, 1015, 281, 1789, 1422, 333, 5602, 4848, 13537, 2891, 9377, 5435, 532, 547, 476, 876, 281, 876, 585, 942, 5602, 4848, 19677, 28333, 815, 834, 876, 281, 876, 5016, 454, 22592, 1305, 291, 4851, 4311, 267, 8653, 2567, 1948, 1590, 581, 540, 1106, 1871, 1770, 608, 281, 476, 2004, 1295, 454, 453, 453, 6358, 21803, 815, 8653, 25331, 29328, 3890, 1948, 29328, 782, 911, 4979, 16543, 10628, 454, 453, 453, 6358, 21803, 815, 8653, 7456, 29328, 3890, 1948, 29328, 782, 3056, 16543, 10628, 692, 453, 453, 5503, 4462, 1080, 815, 1592, 263, 28829, 1948, 786, 581, 22373, 2381, 2580, 834, 327, 3464, 31116, 453, 453, 5503, 4462, 1080, 6910, 2891, 2381, 5602, 453, 453, 5503, 4462, 1080, 6910, 2891, 327, 3464, 15419, 453, 453, 12248, 815, 476, 271, 1948, 9214, 618, 547, 3313, 799, 1770, 13292, 692, 453, 453, 6358, 21803, 815, 3403, 21803, 21858, 3890, 1948, 29019, 8237, 593, 519, 2230, 6967, 692, 453, 14851, 7003, 9272, 21803, 264, 3436, 476, 273, 2433, 1948, 23380, 3403, 454, 4848, 13537, 2891 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5116, 3330, 30788, 12699, 19460, 609, 2837, 1852, 585, 8022, 543, 9023, 269, 22203, 543, 32340, 269, 952, 519, 13621, 2837, 540, 6445, 518, 4496, 568, 2539, 982, 476, 14596, 9180, 543, 849, 2539, 982, 519, 13621, 1448, 540, 519, 1570, 540, 3334, 1287, 621, 568, 917, 607, 4421, 1359, 610, 2571, 4421, 1359, 269, 2776, 31419, 840, 845, 5283, 1206, 543, 25361, 519, 4745, 269, 5111, 476, 2412, 260, 31626, 269, 3040, 667, 760, 4858, 4506, 769, 16702, 2909, 4506, 3334, 609, 6445, 518, 4496, 538, 1697, 1106, 568, 840, 31419, 693, 519, 4745, 543, 10198, 568, 1019, 5529, 538, 8602, 540, 25183, 6070, 799, 6411, 607, 3002, 2707, 607, 1134, 607, 13441, 585, 2909, 4506, 269, 476, 1428, 268, 2764, 260, 31626, 269, 674, 14525, 4496, 949, 581, 2901, 840, 31419, 538, 1106, 540, 729, 1667, 269, 538, 1063, 13841, 543, 2909, 4506, 972, 568, 1776, 1184, 17941, 607, 2048, 3630, 2763, 13841, 8339, 16907, 1314, 543, 536, 7595, 3679, 616, 4122, 1031, 13441, 525, 585, 2909, 4506, 609, 7601, 3490, 6445, 518, 8407, 4318, 269, 3040, 21079, 2627, 8082, 540, 25183, 6445, 518, 4496, 1775, 269, 3040, 13363, 519, 2627, 689, 16617, 1282, 11836, 5106, 269, 14816, 543, 5911, 269, 4646, 17446, 269, 1403, 519, 6445, 518, 4496, 568, 2348, 13621, 2837, 811, 982, 476, 14596, 9180, 855, 2539, 982, 519, 13621, 2837, 540, 3334, 1287, 621, 568, 17941, 607, 1184, 540, 2909, 4506, 610, 2182, 4421, 1359, 269, 1717, 269, 3509, 824, 5010, 13441, 525, 949, 581, 2139, 538, 519, 1106, 540, 13594, 610, 5277, 3070, 3056, 547, 8897, 540, 3498, 543, 15984, 547, 519, 2627, 538, 1022, 2990, 269, 14816, 269, 32340, 610, 949, 581, 10480, 16924, 538, 1106, 540, 11425, 269, 476, 272, 260, 15281, 563, 323, 760, 4421, 1359, 269, 12071, 343, 525, 1031, 538, 4421, 1359, 616, 16139, 1756, 17296, 269, 634, 3334, 616, 4448, 547, 1164, 1699, 543, 1970, 6453, 1379, 3761, 998, 1079, 22809, 896, 2604, 269, 23240, 269, 15316, 4421, 1359, 2409, 616, 4421, 1359, 609, 4421, 1359, 3352, 976, 269, 634, 1034, 4122, 1031, 1151, 1457, 568, 1291, 543, 17646, 18585, 5627, 17646, 8151, 689, 476, 276, 547, 476, 3583, 260, 543, 1291, 476, 4817, 547, 476, 1789, 10065, 276, 8988, 1040, 5161, 540, 1202, 4327, 6023, 543, 1439, 568, 19034, 609, 7601, 9133, 799, 949, 581, 12699, 30788, 610, 538, 1071, 651, 610, 3282, 17320, 553, 17991, 19460, 269, 13719, 568, 519, 8022, 1198, 1247, 2539, 12451, 540, 1699, 1291, 547, 4514, 8022, 543, 865, 621, 666, 581, 6964, 585, 23198, 6810, 269, 901, 3002, 5283, 1206, 519, 1151, 1457, 543, 25361, 519, 4745, 676, 31479, 2962, 269, 273, 281, 30003, 8682, 674, 4869, 1005, 4858, 4506, 13909, 22307, 1359, 281, 634, 4421, 1359, 6445, 518, 4496, 568, 1572, 1151, 1457, 269, 6656, 269, 23290, 4421, 1359, 269, 17646, 1606, 559, 591, 1151, 1457, 630, 339, 514, 476, 9834, 260, 543, 8988, 476, 275, 22103, 1452, 616, 2139, 538, 519, 1106, 540, 13063, 269, 22307, 1359, 4401, 1373, 1031, 585, 8261, 4421, 1359, 269, 1102, 571, 268, 1042, 543, 24318, 21319, 4421, 1359, 269, 887, 7562, 543, 887, 7562, 15702, 538, 4568, 269, 2539, 519, 13621, 1448, 540, 18585, 269, 8307, 1346, 13441, 525, 616, 1031, 799, 616, 30788, 25801, 543, 6445, 518, 4496, 568, 840, 31419, 269, 3040, 18650, 4858, 4506, 769, 4187, 2909, 4506, 519, 3002, 568, 6383, 693, 519, 17103, 547, 581, 2909, 7458, 676, 5706, 633, 8022, 269, 4187, 4421, 1359, 269, 15632, 4421, 1359, 269, 840, 13257, 269, 8299, 337, 21319, 4421, 1359, 3096, 24318, 1783, 923, 1775, 269, 20017, 26606, 1606, 559, 591, 1151, 1457, 630, 4817, 260, 20017, 26606, 543, 476, 276, 260, 8988, 1040, 1164, 4908, 21513, 799, 2736, 519, 27911, 593, 519, 2627, 540, 960, 20355, 543, 3002, 4927, 581, 6383, 1813, 547, 27012, 1063, 7252, 269, 8431, 476, 274, 269, 22307, 518, 568, 4547, 547, 25183, 1533, 676, 15700, 621, 547, 519, 9133, 540, 519, 4421, 1359, 4401, 865, 602, 25183, 1151, 1457, 666, 3262, 547, 519, 4745, 2627, 269, 26781, 543, 13594, 610, 8645, 269, 4033, 6445, 518, 4496, 616, 17646, 268, 656, 574, 3415, 1151, 1457, 630, 4817, 260, 17646, 543, 476, 276, 260, 17059, 3415, 1040, 763, 3002, 568, 6383, 676, 13251, 1699, 883, 519, 32179, 689, 513, 1216, 22799, 16509, 799, 27788, 519, 960, 20355, 547, 581, 2909, 7458, 269, 12071, 343, 1763, 573, 826, 9615, 281, 1547, 4396, 543, 13441, 524, 1819, 12904, 269, 4400, 12451, 6964, 4268, 689, 476, 276, 547, 476, 6110, 737, 13703, 269, 14451, 519, 4908, 540, 1699, 269, 17646, 22271, 4532, 1151, 1457, 630, 11011, 547, 476, 1789, 260, 17646, 543, 476, 280, 547, 476, 3583, 260, 13058, 1040, 14451, 519, 9115, 540, 17646, 269, 12071, 343, 525, 949, 610, 949, 711, 581, 1031, 1282, 2909, 4506, 269, 476, 272, 269, 13058, 17296, 4318, 269, 276, 17646, 543, 476, 272, 269, 1291, 1606, 559, 591, 1151, 1457, 630, 9032, 260, 1291, 269, 14089, 4421, 1359, 563, 288, 8260, 7758, 269, 6884, 9252, 15191, 949, 581, 4294, 4553, 676, 5911, 17678, 269, 1403, 2627, 9096, 543, 1106, 616, 711, 2565, 269, 689, 11956, 610, 16243, 5374, 269, 4858, 4506, 13441, 22016, 666, 581, 6569, 676, 32092, 532, 609, 3905, 1216, 4553, 676, 15018, 269, 21567, 6293, 30518, 269, 634, 8260, 7758, 543, 32179, 616, 1287, 29352, 1927, 693, 1164, 11250, 269, 19045, 1975, 15619, 19045, 18343, 269, 849, 1634, 607, 8095, 8108, 610, 18343, 269, 8022, 543, 844, 523, 4221, 269, 849, 1634, 607, 513, 1106, 269, 3434, 2264, 269, 634, 8006, 543, 3178, 540, 4646, 2694, 616, 3908, 1152, 676, 519, 2450, 540, 519, 3937, 2139, 269, 6713, 634, 18343, 1184, 568, 9425, 2241, 4318, 269, 20497, 3156, 1331, 15177, 9224, 25862, 269, 20614, 8654, 269, 16560, 7622, 5370, 543, 2712, 985, 269, 589, 811, 3238, 1184, 269, 1763, 573, 826, 8851, 540, 13058, 17296, 3490, 13441, 525, 666, 581, 6913, 676, 11067, 1101, 538, 476, 273, 260, 8652, 18608, 545, 3679, 6404, 538, 3905, 1216, 4553, 676, 2241, 3905, 1216, 32092, 532, 269, 11822, 960, 20355, 616, 1175, 6569, 689, 519, 8260, 7758, 269, 22307, 1359, 13441, 22016, 540, 887, 7562, 13441, 666, 581, 2451, 593, 519, 2627, 540, 4745, 269, 2691, 2909, 4506, 610, 4421, 1359, 568, 6192, 1287, 519, 13441, 22016, 616, 547, 581, 6569, 1317, 1510, 8851, 519, 22016, 949, 1291, 547, 14809, 540, 32234, 269, 855, 811, 1950, 5546, 949, 2154, 513, 3818, 1790, 19991, 8260, 7758, 269, 17667, 13441, 22016, 616, 19729, 538, 3905, 1216, 865, 5595, 8375, 538, 3636, 1216, 4927, 4894, 621, 269, 3154, 26561, 269, 547, 1164, 3613, 31104, 269, 1634, 607, 4227, 610, 8405, 532, 269, 589, 840, 13355, 4496, 12210, 568, 1287, 28728, 539, 1996, 519, 8260, 7758, 676, 513, 2604, 14950, 269, 2636, 513, 838, 684, 32179, 547, 1331, 556, 550, 7949, 22762, 1845, 269, 2705, 269, 799, 568, 7923, 547, 519, 2766, 18450, 269, 1403, 519, 21225, 568, 20202, 1287, 621, 666, 581, 6569, 676, 8143, 8710, 1775, 269, 1975, 15619, 666, 581, 5340, 676, 1688, 610, 676, 513, 18981, 4234, 515, 269, 799, 1287, 15835, 2476, 1310, 18343, 269, 1164, 27529, 23212, 269, 543, 1857, 3653, 7789, 8163, 269, 5221, 519, 3803, 8006, 540, 519, 32179, 568, 2141, 1447, 982, 519, 4358, 8006, 519, 32179, 1590, 5394, 523, 269, 610, 31617, 4931, 325, 5166, 6053, 269, 568, 513, 4496, 11529, 1184, 676, 799, 513, 1167, 610, 8546, 540, 4496, 568, 29352, 693, 1164, 3432, 543, 4646, 883, 606, 4949, 6053, 21136, 851, 269, 19045, 18343, 9832, 689, 606, 1148, 16388, 781, 20614, 547, 519, 1034, 25368, 1259, 547, 1106, 5180, 4496, 2694, 585, 5010, 3156, 269, 634, 3196, 568, 2356, 4294, 3842, 1585, 682, 30099, 2645, 269, 28608, 2234, 6053, 269, 589, 22297, 3196, 568, 1287, 4294, 547, 519, 32179, 547, 2014, 621, 547, 2095, 936, 519, 8260, 7758, 269, 3203, 24326, 946, 519, 1184, 547, 3132, 11265, 1469, 269, 21449, 821, 610, 3327, 25543, 18608, 728, 666, 581, 1031, 269, 15181, 887, 7562, 13441, 543, 824, 13441, 22016, 2154, 1697, 2126, 269, 12484, 1302, 1022, 13811, 850, 4496, 949, 581, 4646, 269, 1287, 519, 1547, 568, 15841, 538, 519, 5397, 3296, 540, 513, 4234, 515, 269, 1403, 887, 7562, 22016, 8851, 568, 2838, 1287, 4568, 269, 26184, 569, 1950, 5546, 666, 581, 838, 684, 936, 4672, 3029, 563, 1492, 4496, 568, 1287, 8032, 607, 519, 1907, 593, 519, 4234, 515, 2046, 525, 1996, 519, 12699, 2627, 16550, 621, 547, 1253, 677, 607, 621, 30809, 269, 12182, 18343, 1184, 3322, 18343, 513, 4062, 540, 4496, 593, 513, 4234, 515, 543, 609, 1164, 3002, 689, 513, 23290, 519, 4496, 568, 12699, 269, 20668, 666, 1287, 581, 8032, 610, 8405, 539, 1524, 547, 513, 4130, 8006, 609, 2370, 3196, 25116, 269, 13088, 634, 2596, 1688, 4496, 18343, 1907, 568, 1572, 513, 22635, 269, 1975, 15619, 2645, 666, 581, 1500, 540, 2182, 2989, 5374, 585, 1210, 609, 26459, 610, 4396, 21567, 585, 18343, 16243, 5374, 610, 7646, 5374, 269, 901, 6971, 11508, 543, 8022, 540, 519, 1907, 269, 1740, 12328, 568, 834, 4944, 684, 593, 2011, 2668, 3246, 513, 15774, 13105, 269, 1403, 519, 9096, 610, 1106, 616, 2565, 1287, 606, 552, 764, 550, 29182, 15841, 8260, 7758, 568, 1031, 269, 2368, 4496, 18343, 2645, 616, 4847, 547, 8095, 593, 26971, 1282, 519, 8108, 1184, 269, 740, 554, 665, 269, 1547, 610, 1561, 14876, 264, 666, 581, 1031, 547, 1198, 9867, 2164, 269, 14178, 1907, 1272, 543, 5355, 2627, 9096, 269, 15585, 908, 2645, 616, 4122, 1031, 1282, 18981, 4496, 18343, 4238, 269, 4495, 12699, 269, 1498, 1082, 824, 2645, 630, 2041, 789, 20749, 3812, 269, 15585, 908, 2645, 949, 849, 581, 22862, 609, 6094, 4670, 540, 17375, 547, 10804, 1907, 1272, 269, 1100, 8260, 7758, 568, 1031, 563, 24119, 2056, 593, 519, 5497, 946, 269, 5068, 269, 24305, 619, 4268, 538, 8006, 543, 11098, 269, 29743, 610, 1907, 5374, 2759, 11325, 2645, 616, 1031, 269, 5066, 619, 15841, 593, 519, 1439, 540, 682, 951, 616, 3622, 1031, 547, 1106, 519, 1570, 1524, 547, 519, 8260, 7758, 538, 1312, 1688, 18343, 543, 18981, 4496, 18343, 269, 1419, 2944, 676, 1688, 269, 693, 1447, 1942, 982, 824, 4496, 8108, 2553, 269, 31527, 268, 14127, 543, 16826, 532, 3622, 723, 513, 2362, 6378, 1942, 269, 855, 513, 2539, 4756, 1942, 982, 4496, 18343, 269, 9453, 694, 4461, 269, 519, 25182, 5066, 619, 666, 581, 1031, 547, 1106, 4130, 2234, 4512, 269, 1280, 1383, 281, 1085, 18866, 13688, 269, 634, 8260, 7758, 1281, 711, 1651, 584, 7050, 4229, 269, 1306, 12227, 585, 5010, 3156, 814, 4824, 269, 1419, 3723, 1279, 17860, 13063, 609, 1907, 5374, 8032, 270, 3333, 17369, 2989, 6119, 7923, 269, 543, 3404, 344, 659, 25485, 2940, 13688, 269, 568, 3362, 12747, 543, 606, 2500, 2504, 1505, 585, 30384, 607, 1134, 607, 1164, 7274, 2504, 8255, 269, 1975, 514, 8108, 269, 2694, 616, 1373, 838, 684, 609, 23198, 2326, 538, 4430, 540, 476, 272, 257, 5394, 5374, 269, 621, 1590, 581, 22696, 5529, 269, 607, 1336, 538, 824, 4496, 11529, 3157, 269, 634, 9962, 519, 16945, 519, 23704, 519, 2627, 540, 519, 18343, 269, 27014, 666, 581, 3710, 1210, 835, 4062, 540, 1570, 547, 3132, 2694, 1510, 694, 4461, 269, 610, 4672, 269, 1280, 3101, 610, 5641, 902, 723, 513, 2362, 6378, 1942, 1813, 547, 519, 1804, 3937, 2877, 269, 4033, 2409, 540, 8108, 5180, 4496, 2694, 1331, 8652, 268, 14127, 269, 2910, 273, 7047, 5090, 2471, 269, 4467, 14293, 569, 269, 4813, 532, 6724, 543, 851, 9511, 666, 581, 12012, 3533, 269, 1547, 519, 8260, 7758, 568, 2356, 1500, 540, 4496, 269, 15484, 532, 543, 2504, 3790, 616, 849, 26483, 1970, 269, 855, 3622, 513, 2539, 4756, 1942, 269, 865, 621, 666, 581, 1500, 689, 3574, 269, 22436, 1299, 11393, 11153, 4238, 666, 581, 5340, 538, 835, 1305, 5346, 269, 769, 18981, 3156, 269, 2290, 19319, 540, 4496, 18343, 568, 602, 952, 513, 11523, 3029, 610, 519, 1843, 568, 546, 5034, 269, 1280, 2182, 2326, 610, 1164, 4320, 946, 269, 4518, 4773, 949, 723, 556, 268, 550, 7949, 12632, 543, 519, 9043, 538, 6935, 547, 519, 4099, 1899, 12303, 19727, 24071, 269, 1230, 14846, 18343, 849, 22837, 513, 14320, 4130, 2179, 540, 1570, 982, 824, 2409, 269, 16826, 532, 543, 585, 3101, 610, 16213, 269, 28981, 540, 519, 4496, 568, 2944, 676, 1688 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 938, 17096, 1673, 564, 1254, 3301, 269, 1703, 568, 1100, 7934, 1141, 17096, 1223, 25837, 538, 19403, 811, 454, 12552, 547, 938, 1863, 26941, 267, 972, 568, 1100, 1259, 585, 596, 547, 581, 5667, 15384, 30829, 269, 1284, 786, 960, 593, 707, 1957, 2394, 596, 616, 4625, 6126, 609, 519, 1267, 19403, 811, 454, 7312, 4757, 568, 2922, 267, 607, 649, 4558, 621, 2687, 547, 3486, 1239, 4027, 3652, 269, 2659, 4871, 3877, 616, 5150, 267, 607, 649, 946, 1152, 6325, 8569, 1949, 19403, 811, 454, 3528, 11488, 721, 707, 2724, 267, 596, 4444, 519, 3028, 649, 1683, 269, 6744, 856, 938, 2474, 543, 2175, 952, 596, 4782, 1870, 12909, 547, 581, 9788, 856, 538, 4013, 1893, 19403, 811 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13076, 609, 1367, 1072, 2115, 543, 7687, 269, 898, 568, 1898, 585, 2043, 547, 3251, 5483, 267, 3343, 5583, 689, 2564, 4648, 267, 543, 1935, 1007, 6915, 327, 22326, 2409, 609, 13657, 547, 7413, 1761, 4220, 563, 16665, 5303, 16301, 454, 268, 18726, 7177, 454, 268, 18789, 10334, 454, 268, 15536, 333, 2045, 28389, 906, 454, 268, 10829, 1881, 8682, 0, 2005, 779, 1100, 5728, 602, 16028, 568, 606, 14156, 9901, 1995, 269, 769, 1249, 267, 621, 779, 835, 540, 519, 1034, 1455, 3123, 585, 3656, 9668, 538, 519, 2136, 2276, 269, 18641, 267, 513, 1126, 814, 519, 1318, 547, 3717, 585, 2933, 538, 519, 10470, 267, 543, 519, 10470, 723, 519, 1318, 547, 1118, 3664, 827, 741, 26692, 1759, 593, 741, 1367, 2115, 543, 4690, 269, 1809, 875, 2025, 1281, 513, 1126, 723, 547, 581, 538, 1931, 547, 1118, 713, 3375, 888, 2252, 707, 1126, 568, 896, 519, 2085, 540, 27552, 267, 596, 666, 1406, 3442, 585, 1864, 610, 1200, 945, 646, 610, 1352, 786, 2661, 609, 269, 1717, 267, 713, 3085, 1406, 1611, 596, 666, 1406, 2119, 547, 8207, 713, 3390, 593, 707, 1378, 563, 5715, 10005, 779, 1126, 26692, 4031, 616, 2966, 547, 2149, 519, 1655, 1719, 540, 1453, 269, 634, 1876, 3340, 602, 519, 5480, 3313, 799, 2385, 568, 1732, 14018, 547, 6318, 513, 1126, 269, 901, 666, 581, 513, 1279, 543, 2352, 1184, 269, 769, 1840, 547, 12570, 519, 1072, 540, 782, 6105, 267, 519, 5480, 786, 849, 2015, 519, 16858, 540, 519, 1126, 543, 1010, 610, 1200, 3237, 563, 4407, 711, 4481, 7150, 538, 519, 4031, 267, 621, 779, 4502, 15663, 602, 519, 10470, 616, 2693, 547, 2015, 519, 1126, 779, 16858, 952, 646, 610, 1352, 568, 693, 2547, 476, 1691, 1296, 2025, 269, 30271, 949, 849, 3651, 513, 13931, 1514, 11832, 547, 3717, 547, 519, 1126, 563, 4263, 2547, 835, 1533, 267, 17857, 267, 2636, 519, 5480, 547, 5967, 519, 1126, 547, 3313, 1010, 610, 1200, 16858, 269, 589, 1867, 666, 581, 2854, 676, 519, 5480, 547, 1683, 1344, 827, 519, 1126, 779, 16858, 269, 2368, 2829, 1256, 1450, 519, 3237, 547, 1224, 519, 13973, 547, 6430, 585, 2933, 563, 2691, 6236, 513, 16028, 538, 11882, 267, 1082, 1004, 4898, 1018, 2085, 568, 519, 1318, 2085, 585, 513, 1126, 547, 1118, 513, 3375, 827, 799, 2385, 547, 2661, 609, 269, 901, 2243, 568, 1271, 1317, 519, 1876, 1281, 711, 723, 513, 6378, 2085, 269, 1717, 267, 972, 616, 930, 2188, 602, 666, 581, 2808, 563, 763, 5480, 949, 2154, 513, 1126, 547, 581, 26906, 676, 513, 9794, 610, 824, 3318, 269, 4438, 519, 5967, 267, 519, 1126, 949, 581, 4280, 2055, 1644, 547, 1010, 610, 1200, 6197, 563, 288, 5480, 27680, 786, 2594, 713, 5967, 543, 946, 621, 1282, 513, 26692, 4693, 269, 4635, 713, 1344, 267, 519, 5480, 786, 3313, 799, 2385, 786, 723, 2101, 3375, 6194, 7060, 563, 1103, 2489, 267, 519, 2085, 585, 513, 1126, 547, 1118, 513, 8797, 3375, 568, 12341, 538, 519, 2039, 540, 476, 279, 547, 476, 1321, 269, 15394, 267, 519, 1126, 779, 16858, 616, 2808, 607, 835, 540, 1896, 2188, 602, 519, 5480, 5654, 693, 950, 1818, 513, 3375, 827, 1126, 26692, 563, 2691, 513, 1126, 10301, 519, 2085, 540, 27552, 610, 4587, 267, 789, 723, 513, 1318, 547, 6430, 799, 2385, 789, 786, 2661, 609, 269, 901, 568, 1572, 31414, 269, 589, 9794, 786, 1118, 513, 3803, 26692, 3375, 1310, 6236, 519, 1126, 779, 16858, 269, 15380, 267, 16488, 4782, 547, 2285, 519, 1126, 4745, 3656, 26692, 563, 1103, 8159, 945, 1058, 723, 26692, 540, 741, 1126, 267, 519, 5480, 786, 2015, 1896, 2188, 267, 971, 607, 519, 1126, 779, 15657, 267, 543, 519, 3237, 685, 18515, 547, 28111, 269, 634, 9794, 949, 849, 946, 513, 27152, 3815, 585, 6469, 5208, 547, 1118, 513, 8990, 563, 297, 2002, 3656, 26692, 568, 513, 9053, 11460, 538, 17857, 269, 898, 1797, 602, 1312, 3237, 723, 3160, 2924, 547, 1118, 3664, 585, 741, 1453, 269, 30003, 15970, 942, 16131, 1331, 20367, 32300, 543, 6905, 11564, 1282, 1153, 9397, 563, 306, 1961, 3656, 26692, 267, 593, 519, 824, 1688, 267, 568, 950, 835, 2385, 568, 519, 6852, 3656, 8169, 617, 1014, 269, 901, 1281, 711, 1611, 602, 519, 824, 2385, 814, 1447, 1569, 547, 1344, 593, 519, 1126, 779, 1072, 610, 2069, 563, 2691, 666, 513, 1126, 3717, 585, 2933, 538, 5480, 888, 2005, 568, 513, 1434, 2856, 547, 917, 950, 513, 1126, 666, 3717, 585, 2933, 538, 5480, 269, 6884, 267, 3237, 10990, 593, 6927, 971, 607, 1471, 2787, 267, 1126, 1489, 267, 543, 26692, 269, 901, 666, 581, 17173, 543, 2014, 11991, 16203, 585, 519, 1126, 269, 634, 10470, 1419, 2119, 547, 1832, 1453, 856, 540, 891, 13882, 269, 1717, 267, 3006, 621, 568, 2556, 585, 873, 547, 581, 3238, 538, 513, 2013, 563, 4407, 513, 1126, 949, 581, 2025, 2614, 547, 6430, 593, 741, 1378, 267, 16488, 616, 6297, 547, 5531, 1344, 1510, 31362, 519, 1126, 269, 1358, 786, 2356, 5967, 519, 1126, 538, 1931, 547, 1205, 1010, 610, 1200, 6644, 269, 1403, 513, 1126, 568, 936, 519, 2085, 540, 27552, 267, 646, 610, 1352, 786, 581, 4847, 547, 2232, 519, 5480, 563, 14399, 896, 519, 2085, 540, 476, 1691, 666, 1152, 2232, 519, 5480, 952, 789, 1745, 621, 568, 538, 741, 1655, 1719, 269, 769, 930, 2829, 267, 519, 3237, 685, 27192, 616, 4847, 547, 7390, 519, 5870, 855, 711, 519, 1126, 269, 1323, 12912, 1268, 786, 1287, 1020, 513, 1867, 585, 519, 5480, 269, 1452, 5359, 616, 1031, 547, 3313, 519, 1126, 779, 7375, 269, 0, 303, 23035, 513, 26640, 12942, 281, 1215, 7043, 6496, 898, 6875, 543, 1879, 9701, 1411, 11910, 2659, 16362, 888, 298, 573, 2284, 10007, 616, 4396, 13999, 602, 1106, 950, 6464, 543, 6886, 538, 707, 10729, 2182, 523, 883, 513, 12627, 269, 1452, 6464, 543, 6886, 267, 971, 607, 7513, 543, 579, 878, 3679, 267, 616, 2141, 1459, 693, 1970, 2157, 269, 21418, 2356, 4991, 1166, 19813, 856, 609, 707, 10729, 269, 769, 930, 2665, 267, 2705, 267, 596, 723, 1932, 1454, 540, 873, 543, 8459, 10007, 666, 1106, 563, 24314, 9137, 11905, 28946, 1080, 281, 2657, 1467, 2073, 4179, 2517, 4178, 269, 8234, 1467, 2593, 13045, 20684, 18838, 1635, 281, 18238, 320, 670, 619, 327, 454, 24314, 9137, 17397, 593, 281, 4728, 476, 3066, 267, 476, 1001, 280, 454, 29791, 547, 22731, 9137, 281, 4179, 2517, 4178, 269, 8234, 1467, 2593, 270, 8234, 31574, 573, 2284, 268, 8234, 270, 6011, 17489, 3562, 1790, 817, 10275, 573, 2284, 3613, 821, 0, 1692, 1677, 12338, 589, 1290, 22683, 670, 15736, 25529, 454, 29493, 1154, 513, 12432, 19735, 6529, 3340, 8856, 543, 1416, 547, 2327, 519, 6529, 568, 5265, 7059, 543, 6198, 269, 3371, 616, 2947, 1898, 5013, 547, 1832, 538, 2247, 950, 5969, 513, 12432, 19735, 6529, 912, 272, 269, 2422, 519, 1318, 2645, 281, 1677, 2759, 513, 12432, 19735, 6529, 267, 596, 786, 991, 513, 554, 2931, 1177, 609, 513, 5386, 3562, 582, 1117, 16405, 610, 513, 1379, 4718, 609, 513, 14776, 18396, 730, 16405, 4481, 2966, 585, 5969, 3327, 6775, 269, 4635, 519, 4636, 2645, 666, 3441, 519, 6529, 543, 14207, 922, 8699, 563, 273, 269, 12763, 7466, 267, 2759, 2899, 281, 6969, 1818, 1022, 11912, 267, 5402, 2268, 519, 6529, 547, 3313, 519, 5551, 3259, 269, 898, 779, 2629, 547, 1118, 4977, 7403, 547, 2057, 5969, 1932, 1454, 1055, 519, 6529, 267, 607, 972, 568, 1100, 1259, 547, 1039, 1570, 1394, 2899, 621, 779, 1044, 6569, 563, 274, 269, 4460, 519, 2759, 281, 4495, 596, 4076, 5462, 519, 5551, 3259, 267, 946, 513, 15262, 610, 11746, 547, 5693, 1665, 519, 5544, 1141, 596, 786, 1118, 519, 2759, 269, 901, 786, 948, 2327, 513, 2786, 543, 5730, 2759, 563, 275, 269, 12338, 7444, 543, 20406, 281, 1879, 5969, 513, 12432, 19735, 6529, 267, 621, 779, 1271, 547, 979, 3500, 543, 11931, 547, 2061, 1022, 1761, 10943, 5793, 532, 610, 535, 2001, 532, 540, 519, 6529, 779, 2627, 269, 16792, 1932, 1454, 3196, 610, 5969, 1932, 3533, 666, 1291, 547, 606, 19514, 2759, 543, 14020, 519, 6529, 563, 276, 269, 11162, 909, 519, 8728, 281, 2991, 1818, 519, 2759, 267, 946, 5070, 17549, 610, 513, 3758, 547, 5347, 856, 1022, 11315, 8728, 269, 901, 786, 2061, 1022, 8325, 610, 795, 698, 3022, 2127, 602, 1223, 5732, 2014, 5945, 1282, 29863, 563, 11902, 17988, 827, 5969, 513, 12432, 19735, 6529, 912, 272, 269, 2052, 594, 2759, 1022, 3259, 1055, 513, 12432, 19735, 6529, 888, 2005, 779, 3622, 5227, 547, 1152, 2759, 513, 1507, 6712, 1055, 519, 12765, 1439, 540, 513, 12432, 19735, 6529, 267, 607, 5969, 1932, 1454, 1055, 666, 1860, 519, 6529, 779, 4827, 543, 2773, 563, 273, 269, 1684, 594, 991, 547, 4894, 519, 16405, 1354, 5969, 519, 6529, 888, 5591, 267, 596, 798, 711, 991, 547, 4894, 519, 16405, 269, 28981, 519, 14788, 540, 519, 19735, 6529, 1058, 711, 1764, 519, 16405, 538, 1022, 1259, 563, 274, 269, 1548, 952, 594, 18417, 2759, 1932, 1454, 1055, 519, 6529, 888, 2252, 596, 18417, 2759, 1932, 1454, 1055, 519, 6529, 267, 19890, 267, 972, 568, 1100, 1259, 547, 1039, 519, 1570, 1394, 269, 898, 779, 1271, 547, 2268, 543, 5595, 27902, 1354, 1818, 1022, 11912, 563, 275, 269, 2052, 594, 946, 513, 2834, 4718, 610, 17180, 547, 2759, 519, 6529, 888, 2005, 779, 711, 5227, 547, 946, 513, 2834, 4718, 610, 17180, 547, 2759, 513, 12432, 19735, 6529, 267, 607, 621, 949, 3441, 519, 6529, 543, 14207, 922, 8699, 269, 25529, 547, 1210, 554, 2931, 9155, 609, 5386, 3562, 582, 1117, 19059, 610, 1379, 4718, 338, 609, 14776, 18396, 730, 19059, 2966, 585, 5969, 3327, 6775, 563, 276, 269, 2052, 594, 5070, 610, 3758, 519, 6529, 1524, 547, 1118, 621, 10156, 888, 5591, 267, 5070, 532, 610, 25937, 519, 12432, 19735, 6529, 786, 14207, 922, 7293, 8699, 269, 898, 779, 2629, 547, 1118, 5730, 11912, 2864, 982, 12394, 547, 2110, 523, 519, 6529, 998, 824, 1797, 563, 277, 269, 1772, 621, 2009, 547, 2759, 513, 12432, 19735, 6529, 1510, 1022, 2027, 2645, 888, 4407, 621, 779, 20248, 2009, 547, 2759, 513, 12432, 19735, 6529, 1510, 2027, 2645, 267, 621, 568, 711, 5227, 269, 7981, 1242, 2645, 971, 607, 554, 2931, 9155, 609, 5386, 3562, 582, 1117, 19059, 610, 1379, 4718, 338, 609, 14776, 18396, 730, 19059, 616, 2966, 547, 7413, 3441, 547, 519, 6529, 779, 2497, 563, 278, 269, 3657, 972, 1022, 4220, 2404, 609, 5969, 513, 12432, 19735, 6529, 888, 2467, 568, 2141, 513, 1981, 540, 14124, 519, 6529, 952, 1697, 1416, 543, 8856, 616, 711, 3144, 1247, 5969, 269, 3958, 267, 11315, 8728, 2451, 1310, 5969, 666, 5732, 3614, 675, 5716, 269, 4475, 267, 621, 779, 1271, 547, 1246, 519, 5227, 3268, 543, 946, 519, 1318, 2645, 563, 29493, 1154, 513, 12432, 19735, 6529, 3340, 519, 1318, 2645, 267, 6297, 7403, 267, 543, 513, 11931, 1688, 269, 898, 779, 2629, 547, 1246, 519, 5227, 3268, 543, 946, 519, 3617, 2645, 547, 2057, 14124, 519, 6529, 779, 2497, 269, 5457, 547, 2268, 7466, 267, 2759, 2899, 267, 543, 5347, 856, 1022, 11315, 8728, 1310, 1818, 519, 2759, 585, 513, 5265, 7059, 543, 6198, 12432, 19735, 6529, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19425, 2801, 1108, 13538, 666, 948, 10625, 1686, 538, 5177, 15912, 281, 22884, 267, 1686, 267, 15321, 1143, 267, 24921, 25703, 267, 4279, 6628, 267, 5177, 454, 12867, 685, 2487, 21533, 602, 513, 1560, 1279, 6456, 896, 513, 18513, 18736, 2603, 568, 3751, 9400, 8633, 786, 1100, 8969, 13489, 1719, 538, 3703, 22884, 2443, 607, 621, 1058, 269, 2755, 2473, 2760, 7436, 519, 5544, 543, 596, 2461, 12691, 547, 796, 24160, 606, 3768, 4593, 2642, 4622, 267, 6628, 779, 1279, 1686, 1797, 602, 3592, 9170, 596, 2030, 513, 15524, 767, 267, 972, 779, 1686, 547, 581, 1336, 563, 5804, 11635, 6520, 585, 1206, 547, 16972, 10651, 267, 7366, 540, 15456, 2007, 338, 616, 8345, 538, 6628, 693, 1022, 2016, 942, 1107, 543, 1082, 540, 873, 10950, 15321, 2007, 7970, 547, 948, 10625, 519, 2250, 269, 5502, 540, 1175, 9683, 6628, 779, 3504, 13039, 267, 14252, 543, 6149, 10580, 267, 596, 1223, 581, 851, 540, 519, 6887, 602, 616, 12423, 1007, 4609, 543, 13742, 1169, 1554, 269, 3807, 1205, 4712, 585, 513, 2370, 2182, 960, 19601, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 2048, 11386, 1590, 711, 581, 2451, 547, 524, 16428, 1686, 685, 1107, 9504, 13653, 454, 268, 634, 1034, 1271, 6370, 596, 4312, 4440, 2760, 4862, 540, 454, 268, 4959, 3041, 568, 21006, 1312, 1744, 807, 543, 6129, 14269, 695, 21218, 543, 5656, 538, 17018, 592, 454, 268, 5530, 281, 15329, 550, 9097, 1143, 538, 5177, 3884, 1405, 2404, 609, 6710, 454, 268, 12164, 293, 7644, 300, 3633, 281, 519, 1744, 9068, 540, 13744, 1695, 19072, 657, 4302, 540, 962, 684, 639, 630, 301, 710, 557, 327, 267, 17018, 592, 267, 12925, 264, 814, 1044, 10032, 454, 268, 1773, 698, 14705, 23215, 1023, 7523, 648, 2560, 855, 1100, 4539, 888, 268, 15537, 28137, 729, 2899, 2808, 513, 1283, 6576, 14787, 269, 3767, 646, 32245, 9642, 23640, 540, 32157, 30922, 563, 268, 16024, 1014, 945, 7125, 13032, 261, 260, 259, 287, 593, 5147, 476, 275, 628, 31959, 3123, 15784, 454, 268, 901, 568, 1018, 12592, 1686, 1053, 538, 1164, 1153, 543, 1647, 1153, 666, 798, 2336, 268, 15525, 547, 8366, 2817, 28299, 2405, 1023, 547, 476, 274, 12206, 0, 309, 523, 639, 22014, 1877, 18323, 543, 16242, 4515, 3796, 4537, 1228, 10326, 8212, 454, 9743, 6817, 476, 6860, 4924, 476, 1220, 272, 910, 26257, 9337, 476, 2767, 7325, 476, 1001, 275, 563, 288, 2689, 518, 540, 519, 2376, 630, 14813, 1663, 27833, 476, 4489, 279, 267, 589, 19026, 17583, 24047, 7150, 602, 14798, 8290, 616, 2966, 547, 1332, 693, 476, 4391, 5232, 595, 630, 290, 16364, 264, 1496, 7176, 269, 277, 5232, 674, 630, 293, 16366, 13580, 543, 547, 21613, 1210, 27899, 1591, 11476, 543, 602, 513, 1279, 1974, 540, 3984, 543, 19800, 1071, 17272, 1828, 568, 2838, 563, 763, 1739, 11708, 616, 3177, 607, 513, 1101, 1900, 538, 10992, 909, 593, 2436, 610, 711, 513, 5078, 2837, 267, 2604, 267, 543, 26947, 7874, 1604, 585, 519, 2504, 610, 18643, 540, 8290, 6818, 538, 519, 19026, 1014, 5790, 563, 4322, 1101, 1079, 11708, 630, 29592, 1250, 23937, 543, 24909, 1070, 941, 8385, 3370, 676, 808, 8160, 269, 23514, 9469, 267, 623, 269, 717, 269, 6008, 742, 525, 267, 667, 10422, 269, 670, 8657, 267, 808, 6185, 269, 3828, 1157, 523, 267, 543, 717, 11482, 269, 14977, 2401, 538, 741, 2376, 267, 15571, 12769, 738, 566, 5525, 540, 519, 19026, 22014, 1877, 609, 519, 7395, 749, 534, 6611, 8154, 267, 594, 8364, 639, 267, 5292, 269, 476, 8099, 267, 476, 8064, 268, 11463, 267, 476, 1960, 275, 269, 630, 763, 2186, 10479, 547, 946, 519, 11708, 1281, 711, 13822, 23596, 618, 540, 519, 8367, 896, 6268, 538, 713, 2376, 4700, 6423, 281, 4033, 18323, 543, 16242, 4515, 3796, 269, 1496, 12552, 547, 519, 8436, 689, 717, 1440, 338, 623, 2317, 267, 26527, 30773, 267, 3127, 543, 4787, 2643, 690, 545, 5125, 717, 3387, 327, 585, 4466, 602, 713, 3095, 2877, 21130, 269, 476, 278, 9947, 476, 1001, 274, 2639, 763, 7150, 476, 4391, 5232, 595, 630, 6518, 568, 519, 3328, 1480, 1560, 2837, 1991, 547, 10194, 4323, 264, 14687, 547, 476, 20542, 22398, 9109, 630, 298, 264, 630, 290, 16364, 10917, 7132, 476, 24129, 1040, 1403, 649, 4283, 519, 19026, 15820, 268, 951, 639, 27529, 3113, 693, 476, 20542, 918, 543, 979, 2786, 909, 630, 1042, 1899, 264, 547, 519, 2837, 9043, 267, 543, 1287, 23276, 547, 519, 2451, 7852, 649, 1265, 513, 7222, 15820, 540, 476, 7367, 269, 276, 12919, 630, 3451, 5195, 1916, 3086, 267, 607, 513, 11315, 3444, 27902, 267, 649, 4283, 519, 19026, 15820, 268, 951, 639, 27408, 4380, 8879, 454, 12304, 675, 3113, 693, 476, 1911, 271, 1984, 756, 1513, 630, 1492, 3047, 781, 454, 320, 2071, 4262, 1377, 11626, 454, 12304, 675, 264, 543, 979, 909, 547, 12969, 519, 15820, 25774, 9043, 1899, 267, 543, 454, 659, 1484, 547, 519, 2451, 7852, 1141, 649, 1265, 519, 7222, 15820, 540, 454, 5392, 269, 276, 12919, 630, 4029, 5195, 1040, 901, 15820, 568, 1152, 1614, 12919, 454, 263, 528, 3670, 2600, 264, 1114, 982, 649, 1336, 689, 519, 2837, 3113, 563, 3383, 267, 538, 19220, 540, 519, 2627, 2837, 540, 19026, 1373, 593, 519, 1931, 540, 476, 279, 5038, 5232, 18278, 267, 972, 568, 513, 3148, 538, 519, 19026, 1014, 5790, 799, 4114, 23660, 602, 540, 3047, 609, 2463, 547, 2837, 543, 2604, 269, 1809, 972, 949, 581, 2042, 563, 7367, 269, 276, 12919, 1657, 519, 19026, 1014, 2627, 7140, 856, 547, 581, 538, 519, 1647, 540, 519, 19026, 1014, 6531, 24120, 799, 568, 1500, 909, 7361, 540, 16247, 545, 3679, 20256, 269, 630, 763, 6531, 4420, 1682, 616, 6059, 547, 581, 476, 1789, 547, 476, 3374, 5998, 1657, 519, 2627, 543, 519, 25568, 616, 6059, 547, 581, 689, 476, 2568, 547, 476, 4037, 5998, 1657, 519, 19026, 1014, 2627, 4700, 901, 5580, 15820, 3970, 568, 5310, 513, 27967, 7447, 269, 634, 6531, 25568, 2837, 814, 1044, 4080, 547, 581, 476, 18605, 918, 11196, 1724, 5232, 595, 610, 476, 280, 5232, 674, 1040, 4340, 547, 519, 2837, 9043, 1657, 630, 13582, 1899, 264, 713, 2837, 14687, 547, 606, 15820, 540, 476, 6812, 5998, 630, 3607, 5195, 264, 585, 519, 6531, 25568, 269, 630, 2690, 1193, 9850, 12269, 972, 786, 581, 8143, 11466, 1063, 519, 5790, 543, 519, 6531, 25568, 8094, 3674, 713, 15755, 6531, 1604, 1434, 610, 3983, 585, 519, 5250, 540, 10194, 840, 15479, 832, 543, 5924, 3644, 2679, 3157, 286, 630, 320, 264, 1684, 16247, 545, 3679, 630, 295, 273, 12569, 275, 264, 20256, 538, 513, 4227, 5790, 4217, 610, 840, 2850, 519, 5250, 610, 11091, 540, 11254, 7408, 543, 824, 10717, 2679, 7161, 286, 630, 321, 264, 2052, 6190, 3859, 22292, 1648, 23309, 519, 12269, 547, 713, 3178, 286, 1403, 2901, 2626, 568, 5739, 547, 519, 8367, 1287, 649, 666, 2307, 2436, 610, 711, 519, 19026, 1014, 5790, 1657, 519, 12269, 267, 2161, 476, 2568, 5998, 630, 4391, 5195, 264, 543, 909, 267, 1223, 581, 630, 528, 711, 581, 264, 513, 11134, 3148, 585, 519, 6211, 3157, 538, 2243, 269, 634, 3668, 540, 6190, 22292, 21774, 786, 711, 581, 513, 1966, 1657, 519, 12269, 269, 1924, 267, 1018, 616, 519, 9803, 2837, 543, 2604, 10148, 585, 10257, 6211, 2534, 888, 5194, 3815, 602, 1590, 581, 18808, 609, 568, 2436, 610, 711, 519, 19026, 1014, 5790, 2282, 519, 6531, 25568, 3568, 519, 3114, 2609, 630, 514, 6190, 844, 520, 885, 264, 2838, 547, 1628, 10717, 6675, 607, 1134, 607, 741, 10408, 630, 321, 17424, 264, 14747, 286, 634, 4681, 689, 513, 3406, 585, 713, 1344, 786, 581, 5116, 1934, 563, 2080, 568, 513, 5750, 6029, 2837, 8957, 2604, 585, 519, 19026, 1014, 5790, 269, 898, 568, 6508, 689, 519, 1079, 11708, 1657, 563, 314, 9743, 6817, 593, 476, 1626, 4119, 476, 1001, 272, 24358, 763, 7913, 10656, 476, 3192, 277, 9208, 454, 4263, 4380, 1877, 18185, 729, 1031, 538, 28321, 3047, 781, 3044, 5790, 7455, 563, 1432, 827, 519, 2627, 540, 19026, 286, 0, 306, 699, 526, 760, 640, 1323, 23292, 3069, 454, 8245, 517, 19453, 568, 606, 2278, 267, 19784, 543, 7641, 16073, 267, 2027, 2358, 538, 2257, 543, 9119, 269, 3571, 5767, 1433, 568, 834, 307, 4459, 610, 9615, 286, 20010, 6925, 593, 23632, 2580, 1071, 22052, 23482, 609, 3798, 345, 731, 21321, 560, 267, 519, 1158, 779, 1101, 7548, 540, 14911, 4915, 563, 306, 1495, 599, 476, 866, 5181, 476, 1960, 280, 454, 4407, 693, 519, 14266, 267, 594, 729, 18056, 602, 519, 1835, 11596, 602, 16445, 519, 16264, 5251, 941, 693, 519, 8998, 540, 513, 24526, 7521, 602, 16768, 585, 5756, 269, 634, 4661, 1644, 547, 741, 5169, 269, 21231, 267, 519, 5354, 540, 3744, 11130, 602, 789, 941, 3361, 676, 22747, 267, 855, 972, 941, 849, 1346, 945, 7957, 10696, 513, 3069, 1759, 593, 14368, 924, 5222, 269, 634, 6574, 1966, 585, 519, 18793, 540, 519, 14368, 924, 3069, 729, 602, 519, 14368, 2572, 1131, 723, 13351, 519, 7599, 693, 513, 3099, 540, 7285, 267, 543, 621, 8604, 6654, 602, 513, 14368, 924, 4947, 538, 689, 513, 1970, 5086, 1131, 5352, 606, 24814, 28188, 269, 769, 4334, 267, 782, 519, 9855, 781, 1835, 11596, 616, 9764, 267, 799, 1152, 4667, 2009, 952, 782, 519, 14368, 2572, 8593, 19794, 563, 4913, 267, 2963, 538, 12797, 540, 519, 14368, 924, 3069, 7153, 676, 4960, 689, 519, 10969, 566, 540, 519, 3689, 2622, 2782, 269, 898, 2968, 2312, 602, 15183, 3361, 1835, 11596, 9838, 547, 16264, 1835, 11596, 269, 1280, 1383, 267, 513, 9553, 602, 1011, 10757, 693, 5487, 4425, 529, 16279, 538, 476, 4489, 277, 4646, 513, 28188, 602, 729, 476, 5952, 332, 538, 8006, 543, 476, 1839, 332, 2620, 267, 609, 513, 476, 276, 332, 7381, 28188, 26079, 269, 901, 3366, 19936, 547, 1179, 3634, 602, 14368, 2572, 1185, 5734, 519, 9855, 693, 1164, 3432, 267, 1185, 12617, 2933, 11895, 267, 543, 1287, 267, 7488, 540, 741, 1764, 5086, 267, 789, 1011, 10757, 899, 15183, 267, 2870, 9764, 1835, 11596, 269, 634, 3069, 729, 1152, 9863, 2953, 950, 20691, 941, 2111, 547, 4983, 519, 9855, 781, 2627, 538, 476, 3422, 280, 563, 12552, 547, 21035, 267, 649, 616, 1631, 782, 3222, 540, 875, 14368, 2572, 543, 30563, 711, 1152, 5734, 519, 9855, 267, 855, 849, 5734, 519, 3047, 269, 901, 4832, 267, 519, 4139, 13562, 13929, 5742, 1558, 538, 5695, 514, 543, 3989, 519, 8776, 3626, 4336, 267, 606, 24666, 4528, 540, 519, 6762, 614, 4336, 269, 589, 3122, 6950, 616, 15951, 593, 513, 4336, 689, 4642, 547, 476, 1015, 910, 606, 20503, 12773, 4642, 568, 4625, 20027, 267, 606, 20503, 12773, 2947, 814, 513, 1713, 4960, 540, 18644, 519, 3047, 543, 4929, 513, 6237, 31685, 267, 543, 606, 20503, 12773, 476, 1015, 814, 14022, 3042, 18484, 2854, 782, 936, 621, 267, 1317, 621, 1131, 581, 593, 513, 1463, 1576, 609, 3047, 543, 1804, 2614, 547, 2014, 2518, 10969, 566, 269, 1924, 2484, 267, 1152, 1079, 30563, 723, 10805, 593, 519, 8776, 3626, 4336, 267, 476, 1960, 278, 2473, 293, 1556, 543, 476, 1960, 280, 4888, 1015, 269, 3962, 13713, 20639, 835, 593, 519, 8776, 3626, 4336, 267, 1354, 2417, 2079, 5921, 602, 1312, 1223, 581, 9419, 978, 24612, 547, 4642, 563, 8245, 517, 19453, 568, 519, 2278, 540, 2387, 763, 8943, 3883, 910, 519, 3163, 540, 1530, 920, 1097, 689, 9147, 5527, 547, 17747, 15303, 2762, 3299, 19549, 24529, 267, 6550, 476, 1626, 269, 4200, 454, 3674, 519, 18792, 17581, 1818, 513, 2097, 3724, 286, 1260, 9037, 454, 6635, 1206, 1299, 9980, 338, 21075, 454, 268, 476, 272, 10555, 28037, 9047, 281, 4208, 941, 7982, 547, 519, 8892, 32182, 23545, 539, 888, 268, 476, 273, 10271, 281, 634, 1158, 781, 1034, 30201, 3176, 1004, 454, 268, 476, 274, 634, 5728, 1867, 602, 2337, 5840, 529, 547, 12404, 5013, 454, 268, 476, 275, 17664, 645, 6324, 523, 4666, 281, 9457, 10267, 325, 543, 27973, 853, 1737, 344, 13648, 5182, 267, 10523, 9907, 476, 3393, 454, 268, 476, 276, 30557, 1250, 2666, 281, 1403, 9361, 568, 3983, 585, 707, 1072, 267, 1018, 4523, 950, 596, 3251, 593, 707, 3952, 585, 513, 2898, 3923, 888, 5353, 4038, 28037, 9047, 281, 4208, 941, 7982, 547, 519, 8892, 32182, 23545, 539, 888, 29228, 540, 774, 14772, 4005, 476, 275, 11376, 6016, 556, 601, 30792, 693, 1290, 545, 268, 3519, 476, 1001, 275, 454, 16032, 9413, 593, 28923, 5177, 543, 2475 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 678, 3867, 333, 268, 272, 348, 1422, 7562, 3867, 333, 268, 273, 32710, 12978, 318, 272, 264, 22773, 1422, 7562, 3867, 333, 268, 274, 32710, 12978, 318, 273, 264, 22773, 1422, 26984, 1422, 7562, 7268, 12978, 3709, 333, 268, 273, 16585, 22773, 1743, 22773, 546, 315, 12978, 318, 272, 22773, 1422, 26984, 22773, 546, 315, 12978, 3709, 333, 268, 272, 20467, 2330, 3371, 267, 585, 4399, 12978, 17624, 259, 4422, 689, 1269, 271, 259, 547, 4399, 7032, 259, 585, 1269, 330, 815, 476, 272, 267, 1422, 25854, 267, 562, 268, 273, 8961, 543, 4399, 12978, 3709, 333, 268, 272, 4151, 4422, 689, 1269, 271, 259, 547, 1269, 273, 22773, 1422, 7032, 16859, 7712, 6695, 842, 318, 271, 23373, 7032, 1422, 7562, 317, 330, 1422, 12978, 22773, 546, 315, 12978, 815, 645, 13375, 7268, 2765, 1321, 267, 1422, 2765, 346, 330, 266, 272, 2410, 273, 348, 1422, 2431, 264, 31386, 2765, 346, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 264, 1422, 294, 10397, 13375, 7268, 2765, 346, 330, 266, 272, 2410, 273, 4153, 2431, 264, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 346, 330, 266, 273, 2410, 273, 348, 1422, 2431, 264, 7684, 267, 2330, 1141, 1269, 289, 9638, 267, 336, 7751, 568, 519, 12498, 1599, 267, 649, 1205, 1422, 8218, 9387, 348, 1422, 842, 546, 18898, 309, 17851, 1422, 842, 318, 271, 317, 272, 678, 3867, 333, 268, 272, 348, 22773, 1743, 22773, 1422, 2765, 346, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 264, 1422, 294, 10397, 13375, 7268, 2765, 23533, 268, 272, 2410, 273, 4153, 2431, 264, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 23533, 2410, 273, 348, 1422, 2431, 264, 7684, 1422, 2765, 346, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 264, 1422, 294, 10397, 13375, 7268, 2765, 23533, 268, 273, 2410, 273, 4153, 2431, 264, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 23533, 268, 272, 2410, 273, 348, 1422, 2431, 264, 7684, 1422, 26984, 1422, 2765, 346, 476, 273, 22773, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 264, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 4153, 2431, 264, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 346, 273, 2410, 273, 348, 1422, 2431, 264, 7684, 8607, 17851, 1422, 2765, 346, 273, 2410, 333, 348, 1422, 2765, 346, 1422, 3847, 314, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 9385, 2431, 316, 317, 333, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 23533, 2410, 273, 348, 1422, 2431, 264, 7684, 815, 1422, 2765, 346, 11513, 6912, 19570, 11892, 333, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 23533, 2410, 273, 348, 1341, 476, 272, 9368, 264, 7684, 269, 1422, 754, 9387, 10926, 5194, 1259, 568, 547, 946, 519, 4542, 585, 519, 22263, 2981, 540, 513, 20085, 1599, 6695, 339, 32499, 535, 17347, 264, 815, 1422, 842, 535, 16868, 264, 22773, 552, 3867, 328, 315, 10400, 737, 1422, 10383, 1422, 10400, 678, 348, 22773, 546, 315, 10400, 678, 815, 1422, 2765, 18950, 273, 19570, 22722, 333, 270, 273, 3686, 2715, 737, 3867, 333, 270, 273, 910, 476, 272, 348, 7684, 1422, 842, 318, 271, 23373, 13727, 535, 16868, 264, 808, 3709, 333, 270, 273, 268, 272, 12917, 330, 20867, 337, 9385, 267, 678, 3867, 333, 270, 273, 348, 22773, 1743, 267, 2330, 1141, 1269, 297, 3709, 333, 270, 273, 268, 272, 12917, 330, 22773, 678, 7751, 568, 519, 29817, 1088, 1599, 780, 1103, 938, 2013, 1269, 325, 16868, 264, 815, 1422, 763, 3279, 263, 272, 8573, 7751, 568, 519, 1900, 1599, 269, 3973, 267, 676, 1210, 519, 24088, 6935, 6695, 2765, 18097, 2410, 11459, 348, 1422, 3847, 314, 678, 17353, 20692, 348, 808, 18155, 20692, 12917, 343, 264, 1422, 2431, 316, 815, 678, 17353, 20692, 348, 808, 18155, 20692, 268, 272, 12917, 343, 1070, 2330, 609, 4399, 20692, 815, 562, 270, 273, 8961, 649, 1205, 6695, 339, 32499, 535, 17347, 264, 815, 1422, 2765, 18950, 273, 19570, 22722, 333, 270, 273, 3686, 2715, 737, 3867, 333, 270, 273, 348, 7684, 808, 3709, 333, 270, 273, 12917, 330, 1040, 2330, 1280, 519, 3970, 540, 1269, 330, 9368, 5535, 476, 271, 8961, 649, 1205, 519, 4320, 6695, 3916, 3709, 330, 1422, 21375, 476, 271, 348, 1422, 339, 32499, 535, 17347, 264, 815, 1422, 2765, 18950, 273, 19570, 22722, 333, 270, 273, 3686, 2715, 737, 3867, 333, 270, 273, 348, 7684, 1422, 2765, 18950, 330, 270, 273, 22722, 333, 270, 273, 24828, 294, 10397, 7268, 2765, 23533, 2410, 273, 15396, 272, 14587, 815, 1422, 2765, 3189, 7032, 3867, 333, 270, 273, 3686, 11513, 294, 10397, 7268, 2765, 23533, 2410, 273, 15396, 272, 14587, 269, 9681, 29002, 547, 1018, 32021, 984, 15576, 345, 5206, 267, 1141, 519, 4320, 540, 519, 1770, 3440, 1269, 289, 3709, 273, 333, 4151, 538, 4399, 13992, 346, 290, 11892, 333, 259, 568, 4399, 7032, 18898, 14672, 256, 8961, 519, 4399, 7032, 18898, 259, 7125, 547, 2247, 519, 4320, 540, 513, 4874, 29171, 1269, 289, 318, 273, 18898, 1422, 11357, 3553, 22570, 13992, 346, 290, 11892, 272, 8203, 333, 815, 1422, 13992, 346, 290, 11892, 333, 8961, 593, 799, 519, 21136, 1895, 1269, 306, 5332, 259, 6411, 676, 7989, 5024, 10974, 269, 634, 32089, 2962, 568, 4320, 25535, 6326, 267, 543, 865, 4399, 7032, 18898, 14672, 256, 259, 568, 6923, 14648, 607, 519, 4320, 540, 519, 10739, 2230, 1269, 289, 318, 273, 18898, 13478, 5332, 10608, 2052, 713, 581, 11214, 1644, 547, 519, 4320, 540, 519, 1269, 333, 27572, 4252, 2496, 4517, 516, 553, 2349, 817, 543, 15537, 590, 2559, 3241, 11273, 909, 971, 606, 7778, 1384, 31628, 332, 281, 630, 7922, 817, 4149, 2559, 3241, 264, 9717, 18159, 345, 318, 272, 267, 1422, 24126, 267, 1990, 5332, 264, 1422, 514, 1422, 13992, 346, 290, 11892, 333, 8961, 2328, 10974, 1269, 345, 19553, 259, 538, 8701, 11282, 1106, 1269, 345, 19553, 815, 678, 19553, 552, 3867, 328, 1422, 9064, 19553, 20954, 543, 5581, 606, 1269, 306, 5332, 27572, 514, 19702, 656, 4786, 4399, 12978, 1422, 3712, 517, 645, 318, 273, 18898, 1422, 1729, 645, 3709, 273, 562, 4151, 676, 1101, 7989, 5024, 519, 1269, 345, 19553, 259, 865, 602, 1269, 337, 318, 272, 1422, 28254, 678, 318, 273, 1422, 28254, 1422, 24126, 1422, 28254, 678, 5332, 259, 543, 1287, 11837, 18159, 345, 318, 272, 267, 1422, 24126, 267, 1990, 5332, 7751, 547, 3230, 7268, 6912, 346, 337, 318, 272, 317, 273, 910, 678, 318, 273, 317, 273, 348, 324, 3867, 328, 24592, 318, 272, 9574, 1422, 6912, 346, 337, 318, 273, 317, 273, 910, 678, 318, 274, 317, 273, 348, 324, 3867, 328, 7268, 9064, 318, 272, 1341, 1422, 9064, 318, 273, 264, 9574, 1422, 24126, 267, 1422, 6912, 346, 337, 3709, 333, 268, 272, 11892, 273, 8573, 5332, 317, 273, 348, 324, 3867, 328, 7268, 9064, 318, 272, 1341, 1422, 9064, 318, 273, 1341, 1422, 24126, 1341, 1422, 9064, 3709, 333, 268, 272, 16585, 9574, 678, 5332, 552, 3867, 328, 7268, 9064, 318, 272, 1341, 1422, 9064, 318, 273, 1341, 1422, 24126, 1341, 1422, 9064, 5332, 14587, 14638, 3973, 4399, 12978, 259, 28901, 513, 6024, 1134, 20452, 4786, 1269, 289, 318, 273, 18898, 13478, 5332, 1422, 1729, 645, 3709, 273, 562, 23201, 5015, 267, 950, 11658, 547, 519, 1305, 1269, 303, 5332, 259, 540, 18159, 345, 318, 272, 267, 1422, 24126, 267, 1990, 5332, 7751, 585, 799, 519, 1269, 337, 19553, 259, 616, 782, 3982, 267, 4399, 12978, 259, 28901, 513, 5347, 1623, 921, 8157, 568, 31532, 11837, 1269, 303, 5332, 13478, 5332, 259, 5196, 519, 1305, 1269, 304, 5332, 259, 540, 18159, 342, 318, 272, 267, 1422, 24126, 267, 530, 5332, 264, 1422, 514, 645, 3709, 273, 562, 4151, 585, 799, 1269, 342, 19553, 1422, 928, 336, 476, 271, 259, 585, 1269, 272, 1422, 19008, 795, 1422, 19008, 562, 268, 272, 16859, 1103, 824, 1913, 267, 1603, 1269, 345, 19553, 815, 1535, 19553, 1341, 1775, 586, 19553, 259, 519, 1623, 921, 8157, 476, 273, 27322, 692, 11377, 8999, 3709, 329, 284, 272, 11892, 333, 546, 1535, 19553, 1422, 342, 8354, 546, 586, 19553, 815, 1422, 8999, 3709, 329, 284, 272, 11892, 333, 678, 19553, 546, 678, 19553, 1422, 342, 8354, 546, 24592, 19553, 9681, 529, 12873, 676, 17444, 1394, 2059, 4399, 12978, 1422, 3712, 517, 623, 5332, 13478, 5332, 1422, 1729, 1627, 5332, 10608, 4595, 1623, 921, 8157, 7851, 616, 12725, 4320, 25535, 6326, 267, 543, 2094, 1269, 303, 5332, 259, 543, 1269, 304, 5332, 259, 616, 3592, 782, 540, 1269, 289, 318, 273, 18898, 259, 543, 1269, 289, 3709, 273, 562, 4151, 6606, 267, 713, 3947, 513, 6169, 602, 519, 4320, 540, 1269, 289, 3709, 273, 562, 4151, 568, 4399, 7032, 18898, 14672, 256, 259, 630, 531, 1181, 622, 547, 3044, 17033, 12985, 15997, 6393, 27270, 1384, 1892, 27055, 553, 2349, 817, 267, 15537, 590, 2559, 3241, 267, 2201, 519, 12531, 540, 11084, 630, 1186, 1916, 1892, 8729, 585, 1857, 1944, 1250, 1957, 609, 19378, 590, 2559, 3241, 269, 634, 1957, 849, 3568, 513, 5594, 12863, 4528, 540, 519, 4786, 267, 8497, 12531, 855, 711, 519, 1623, 921, 8157, 2497, 269, 2755, 19378, 543, 594, 941, 22876, 2858, 3215, 4566, 585, 7586, 4328, 938, 1957, 267, 602, 12863, 4786, 729, 10446, 1336, 676, 744, 3405, 670, 6359, 629, 282, 1294, 834, 763, 4320, 540, 519, 1770, 3440, 538, 1269, 290, 18898, 259, 2437, 589, 1067, 269, 4569, 269, 13600, 569, 13040, 630, 1220, 271, 264, 476, 28796, 269, 630, 2691, 19378, 1336, 713, 1957, 267, 646, 711, 1881, 803, 609, 606, 4757, 602, 3459, 834, 2252, 835, 27185, 2158, 513, 4305, 1279, 2614, 267, 5555, 621, 568, 1100, 3476, 2556, 1701, 264, 1107, 1109, 4517, 516, 553, 2349, 817, 4239, 476, 1789, 1412, 1428, 693, 476, 1015, 281, 3393, 0, 258, 1160, 1324, 7115, 540, 1079, 4632, 538, 513, 4745, 3892, 267, 1210, 19469, 3892, 3252, 692, 296, 723, 1079, 4632, 1269, 311, 259, 543, 1269, 312, 259, 609, 519, 1739, 4745, 2625, 629, 331, 640, 5860, 1599, 692, 2330, 325, 630, 343, 11971, 264, 815, 1422, 8218, 26231, 1162, 348, 1422, 2765, 1691, 630, 272, 266, 15383, 264, 1299, 1422, 3667, 346, 604, 7684, 1923, 343, 347, 2999, 476, 272, 267, 1923, 344, 347, 2999, 476, 272, 11138, 1299, 11138, 476, 271, 1299, 1422, 3667, 346, 1278, 3772, 348, 1422, 754, 26231, 1162, 15732, 763, 1966, 568, 547, 6961, 602, 1269, 311, 259, 543, 1269, 312, 259, 616, 711, 4830, 267, 855, 602, 1269, 311, 317, 273, 259, 543, 1269, 312, 317, 273, 259, 616, 269, 594, 7229, 519, 8589, 5860, 3252, 540, 1312, 1269, 311, 259, 543, 1269, 312, 259, 543, 2094, 741, 1587, 3085, 1405, 3160, 519, 8589, 5860, 1599, 267, 594, 9863, 789, 616, 711, 4830, 780, 4913, 267, 594, 7012, 1405, 2386, 827, 519, 2034, 851, 543, 12649, 519, 3070, 269, 769, 519, 2016, 3070, 267, 7115, 729, 711, 8810, 676, 519, 1739, 780, 2330, 325, 3709, 343, 317, 273, 11971, 317, 273, 348, 630, 340, 267, 341, 264, 815, 535, 3709, 343, 317, 273, 348, 630, 340, 264, 1422, 22487, 25346, 535, 3709, 344, 317, 273, 348, 630, 341, 264, 9681, 21156, 267, 621, 729, 8810, 602, 519, 19469, 3892, 3252, 8858, 713, 3959, 543, 602, 713, 10522, 7115, 780, 2330, 303, 630, 311, 317, 273, 1422, 19008, 579, 1422, 5115, 962, 317, 273, 1422, 19008, 642, 264, 815, 623, 630, 311, 317, 273, 1422, 19008, 579, 264, 1422, 22487, 25346, 623, 630, 312, 317, 273, 1422, 19008, 642, 264, 9681, 296, 7948, 1405, 1265, 1022, 4704, 602, 1767, 713, 22466, 7115, 269, 594, 5156, 971, 29943, 1152, 5249, 609, 519, 5860, 3252, 269, 901, 568, 849, 711, 5018, 593, 519, 28957, 2985, 585, 19469, 3892, 1599, 780, 3383, 267, 594, 6415, 11842, 267, 568, 713, 849, 513, 1259, 547, 6961, 7115, 286, 2052, 594, 946, 713, 4480, 950, 2009, 2496, 8894, 1103, 713, 1880, 3236, 267, 621, 568, 711, 2556, 547, 5173, 519, 8589, 5860, 3252, 543, 1287, 2638, 2436, 1269, 325, 3709, 311, 267, 312, 12917, 343, 11971, 7751, 11224, 1269, 325, 318, 311, 3287, 264, 325, 318, 312, 12169, 7751, 538, 1931, 547, 13182, 1875, 23949, 11163, 269, 4595, 1269, 325, 3287, 11971, 7751, 1281, 711, 3815, 883, 1269, 326, 3287, 264, 327, 12169, 7751, 630, 3602, 1269, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 875, 1082, 1114, 2081, 666, 581, 519, 5022, 538, 519, 2262, 8121, 305, 3198, 12283, 581, 11231, 563, 2467, 616, 476, 278, 5022, 538, 519, 2262, 8121, 305, 3198, 12283, 269, 2986, 891, 972, 616, 1079, 8320, 540, 589, 269, 1079, 8320, 540, 681, 543, 835, 3236, 1142, 540, 715, 267, 717, 543, 661, 269, 634, 1297, 540, 2081, 538, 799, 891, 5022, 666, 581, 22198, 6548, 568, 25464, 303, 263, 278, 267, 278, 4297, 14370, 273, 256, 265, 273, 14386, 319, 454, 763, 5022, 538, 519, 2262, 8121, 305, 3198, 12283, 666, 581, 11231, 538, 476, 14695, 271, 1114, 2081, 269, 0, 8702, 547, 519, 24295, 15610, 540, 623, 7701, 8232, 563, 2005, 2636, 547, 2744, 6552, 1569, 547, 519, 4299, 2780, 563, 2005, 1281, 711, 3262, 8850, 1210, 922, 1378, 1797, 563, 347, 5575, 9571, 593, 10573, 18550, 476, 3066, 267, 476, 1001, 271, 2008, 347, 19547, 1254, 8242, 593, 10573, 18550, 476, 3066, 267, 476, 1001, 271, 2008, 7644, 290, 289, 582, 5861, 309, 312, 568, 513, 1394, 21830, 602, 2636, 21190, 547, 2744, 6552, 1569, 547, 519, 4299, 2780, 538, 1931, 547, 4163, 856, 3527, 602, 14207, 3593, 22637, 543, 15641, 324, 519, 4247, 5340, 593, 519, 2780, 563, 7644, 290, 289, 582, 5861, 309, 312, 1281, 711, 3262, 8850, 1210, 922, 1378, 1797, 269, 898, 2115, 606, 22215, 3593, 781, 6304, 538, 1931, 547, 3914, 519, 4299, 2780, 269, 634, 1797, 540, 6771, 1031, 1331, 267, 1851, 1866, 267, 1166, 641, 6853, 28283, 267, 7131, 268, 15375, 338, 267, 4757, 6835, 609, 7923, 6119, 267, 5769, 28085, 267, 674, 9143, 267, 594, 13612, 9055, 267, 9263, 3562, 24406, 518, 630, 303, 273, 303, 264, 3758, 4687, 5121, 267, 3092, 269, 0, 14532, 540, 631, 11965, 454, 300, 11965, 5398, 12567, 454, 289, 1258, 2763, 29274, 22952, 454, 18794, 3057, 514, 14986, 5980, 2336, 18794, 519, 8121, 306, 454, 294, 31678, 6153, 20324, 611, 2871, 903, 454, 25486, 783, 14986, 5516, 454, 12507, 628, 569, 14986, 5516, 454, 305, 846, 540, 519, 13600, 454, 300, 841, 11352, 17796, 454, 25486, 783, 14986, 31698, 454, 305, 343, 11123, 31178, 312, 681, 5308, 2464, 910, 16692, 2207, 454, 5719, 518, 3623, 1836, 9133, 3562, 4370, 998, 519, 4104, 949, 8580, 675, 909, 2592, 540, 645, 3711, 328, 543, 824, 9543, 1814, 1562, 267, 855, 8384, 873, 544, 4875, 707, 16101, 20421, 18742, 949, 28596, 513, 2898, 1114, 3210, 269, 1306, 8027, 543, 5010, 1646, 25837, 891, 11419, 995, 2261, 7596, 619, 856, 540, 741, 5065, 7226, 267, 789, 2461, 2693, 547, 1397, 909, 9170, 972, 779, 10664, 543, 1216, 1107, 543, 602, 1175, 949, 581, 707, 4677, 563, 2421, 15089, 8291, 700, 1180, 699, 324, 267, 9457, 14472, 4115, 454, 300, 2544, 13650, 267, 13095, 27494, 850, 639, 8280, 542, 639, 267, 543, 3109, 339, 9229, 13650, 267, 744, 269, 8280, 542, 639, 897, 3518, 1014, 639, 267, 616, 519, 1079, 1034, 1455, 28849, 538, 4993, 269, 1546, 518, 19584, 543, 1178, 2763, 3762, 267, 11710, 267, 543, 19512, 540, 1082, 29762, 2371, 1519, 24712, 269, 15681, 339, 1446, 4191, 540, 2963, 616, 795, 698, 3022, 6978, 8728, 593, 519, 13881, 2371, 267, 10058, 804, 8576, 11876, 1993, 16493, 543, 21167, 11057, 5323, 25940, 593, 519, 2666, 1472, 519, 2371, 269, 1656, 952, 1232, 777, 23550, 707, 9782, 2371, 14201, 1406, 2614, 267, 789, 666, 849, 911, 332, 921, 2371, 543, 3441, 1762, 4054, 543, 19211, 676, 27012, 741, 1884, 6840, 593, 959, 16218, 543, 17873, 269, 769, 938, 2916, 267, 3735, 4832, 998, 2038, 5614, 568, 950, 13650, 616, 1034, 538, 991, 540, 1426, 543, 2693, 547, 581, 32415, 10821, 2127, 563, 22546, 1947, 5883, 17237, 13650, 12346, 5097, 593, 7344, 543, 2168, 2409, 267, 1498, 972, 616, 930, 3114, 3681, 547, 2015, 912, 24292, 2409, 1107, 24712, 616, 1851, 519, 23163, 3536, 585, 13650, 543, 5247, 985, 1810, 1406, 3100, 547, 581, 1454, 540, 513, 15658, 1370, 269, 1358, 2408, 547, 4782, 13035, 1007, 2208, 609, 922, 2799, 1377, 540, 5567, 269, 1306, 513, 1362, 267, 24821, 6242, 24712, 3100, 547, 581, 10169, 1447, 14909, 547, 13650, 982, 824, 2010, 563, 9288, 22817, 543, 2168, 2409, 20620, 763, 1034, 6325, 1259, 547, 1832, 13650, 856, 540, 707, 4677, 568, 513, 20545, 269, 1546, 518, 616, 7415, 7914, 619, 543, 666, 2312, 4376, 2539, 982, 476, 277, 3952, 609, 3448, 8897, 269, 1403, 519, 20545, 568, 2587, 1194, 2476, 689, 519, 13452, 267, 621, 5932, 1312, 513, 5626, 543, 2168, 11064, 269, 1546, 518, 786, 19292, 547, 7914, 936, 1945, 538, 799, 789, 4250, 4742, 1303, 22931, 563, 293, 1878, 666, 581, 9112, 689, 1022, 540, 513, 3099, 540, 2326, 1519, 3574, 267, 2361, 5911, 267, 5832, 3095, 610, 5068, 17450, 269, 1358, 1058, 581, 693, 2547, 476, 277, 3952, 1164, 543, 723, 513, 476, 1789, 4110, 5086, 547, 581, 2500, 269, 1546, 518, 786, 31770, 896, 610, 998, 513, 20545, 952, 789, 666, 267, 865, 1118, 2386, 596, 5150, 519, 20545, 2673, 547, 519, 2666, 543, 7816, 1022, 9397, 563, 25821, 535, 9760, 561, 999, 513, 13650, 547, 513, 1448, 1141, 789, 561, 1157, 621, 543, 1205, 513, 8710, 269, 2991, 513, 795, 27117, 610, 1079, 13650, 786, 2356, 2057, 713, 1826, 540, 20545, 269, 634, 29942, 1546, 518, 674, 775, 18252, 1079, 20356, 30041, 9708, 630, 7224, 12904, 14386, 602, 2270, 513, 2178, 3114, 4482, 656, 267, 543, 20205, 513, 6007, 14617, 1376, 1782, 855, 20027, 8710, 950, 13650, 2119, 547, 1491, 513, 2879, 858, 563, 299, 2074, 6417, 676, 5163, 22572, 267, 32302, 543, 824, 17391, 3457, 666, 19225, 523, 13650, 2476, 1498, 789, 949, 711, 581, 1360, 2500, 543, 666, 581, 811, 8886, 908, 547, 21427, 543, 12543, 982, 547, 519, 13650, 269, 1546, 518, 4537, 1752, 1160, 568, 606, 8301, 1587, 602, 2882, 4992, 540, 13626, 532, 5243, 267, 6926, 908, 535, 1177, 985, 267, 20935, 536, 15085, 543, 824, 17116, 4992, 563, 294, 5090, 535, 9760, 593, 519, 2666, 568, 1776, 4781, 269, 1546, 518, 13842, 547, 3802, 593, 713, 18516, 3723, 532, 2627, 543, 666, 1406, 1205, 2673, 2614, 547, 519, 24712, 547, 3548, 873, 269, 20233, 621, 593, 519, 2666, 1472, 24712, 267, 609, 2371, 3395, 909, 998, 621, 563, 31367, 2409, 910, 540, 1852, 616, 15866, 28084, 1218, 910, 1919, 602, 723, 606, 1055, 2056, 610, 31029, 9329, 610, 513, 562, 7360, 8137, 269, 9351, 28084, 757, 616, 7856, 538, 519, 1966, 2230, 543, 1065, 601, 13650, 1813, 547, 741, 28067, 17627, 269, 4107, 28084, 757, 1058, 581, 4294, 1354, 3441, 4386, 543, 1590, 581, 31272, 29736, 4749, 267, 2523, 1310, 513, 4764, 267, 5230, 632, 342, 267, 610, 20057, 2401, 12555, 269, 13555, 28084, 757, 267, 547, 2611, 2500, 267, 1590, 581, 4294, 547, 1007, 16714, 607, 621, 10953, 563, 12709, 13402, 1858, 28084, 757, 1331, 7080, 2056, 9244, 1085, 5034, 13063, 540, 12853, 610, 1480, 4552, 538, 519, 25610, 540, 519, 3077, 2371, 269, 3220, 650, 513, 8559, 998, 1507, 267, 8185, 13526, 25390, 267, 14350, 20386, 13063, 540, 12853, 543, 13793, 689, 30367, 610, 2371, 1472, 519, 15943, 540, 519, 1858, 269, 634, 28084, 550, 568, 2110, 24331, 607, 13650, 1831, 26224, 547, 6526, 27509, 563, 299, 18612, 674, 775, 568, 513, 533, 2426, 550, 11100, 540, 2322, 10915, 1221, 5798, 543, 13342, 282, 519, 9329, 568, 513, 2693, 15658, 1370, 547, 13650, 543, 519, 32529, 269, 32147, 1695, 691, 779, 1546, 518, 5510, 8591, 11503, 24191, 514, 267, 519, 3742, 5057, 538, 31625, 18717, 267, 547, 519, 588, 1074, 344, 4212, 3575, 910, 952, 519, 9329, 3085, 1406, 1832, 519, 13650, 2476, 267, 519, 14723, 8137, 1315, 8886, 656, 3815, 568, 2693, 547, 269, 1677, 1118, 909, 513, 2147, 28084, 550, 267, 538, 513, 1164, 3432, 1025, 2658, 267, 3575, 1614, 5798, 267, 1614, 26486, 2699, 3905, 14036, 267, 1614, 26486, 1295, 1027, 13342, 267, 543, 930, 1216, 269, 5410, 713, 547, 513, 20645, 540, 1216, 543, 10936, 593, 2371, 269, 901, 7848, 3085, 1406, 11547, 1055, 519, 16714, 3362, 855, 556, 22190, 997, 566, 2789, 2053, 538, 519, 4005, 949, 581, 2877, 269, 2142, 2062, 8705, 2740, 1107, 713, 568, 7168, 1159, 11481, 8631, 543, 949, 711, 581, 1945, 596, 1616, 547, 946, 2673, 547, 519, 2777, 563, 6865, 6020, 7396, 1744, 820, 5025, 3118, 568, 513, 8869, 610, 30704, 1106, 540, 31352, 1774, 10729, 282, 621, 18252, 519, 23246, 1107, 10352, 4250, 15859, 547, 2569, 610, 9004, 13650, 19855, 269, 4256, 5010, 11100, 2882, 16541, 543, 27342, 13906, 10729, 543, 27333, 14014, 1996, 13650, 543, 25277, 267, 17544, 267, 1566, 1601, 4548, 267, 1236, 16218, 267, 575, 14279, 543, 6469, 7314, 269, 1546, 518, 2480, 1090, 689, 21768, 2975, 5549, 1421, 3096, 519, 1482, 4250, 2861, 1935, 282, 621, 3568, 3662, 676, 1790, 20094, 602, 9329, 899, 2669, 547, 13650, 855, 27581, 5749, 1405, 18086, 547, 3425, 269, 4340, 547, 519, 10672, 267, 13650, 27333, 1810, 1405, 1205, 26224, 547, 519, 9329, 540, 1546, 518, 2480, 1090, 267, 543, 835, 3498, 568, 10645, 547, 581, 2500, 585, 909, 547, 476, 3445, 2395, 538, 519, 4677, 269, 21081, 2737, 666, 581, 4294, 1472, 4054, 267, 19211, 267, 5810, 267, 30676, 543, 5388, 269, 634, 1587, 568, 476, 1321, 2600, 9436, 865, 621, 849, 5713, 607, 513, 13226, 563, 306, 14954, 880, 19775, 12518, 5652, 9536, 267, 849, 744, 28122, 7396, 267, 568, 513, 7848, 540, 11188, 322, 710, 543, 536, 990, 710, 1973, 7594, 269, 898, 2488, 5810, 267, 15022, 22954, 267, 19211, 267, 4829, 4054, 267, 10448, 10651, 543, 824, 1426, 7031, 609, 909, 547, 3670, 3275, 540, 4027, 1996, 19855, 13650, 267, 17544, 267, 2019, 525, 543, 25277, 563, 6826, 14982, 7201, 6229, 779, 10326, 15050, 3568, 519, 3742, 12146, 3787, 516, 343, 630, 6577, 26293, 1756, 1649, 15605, 622, 1070, 513, 454, 4226, 614, 7623, 602, 16919, 15265, 547, 13650, 269, 1879, 12015, 267, 621, 3762, 513, 2312, 1352, 523, 602, 759, 1235, 11547, 11325, 689, 4764, 269, 898, 666, 581, 1031, 593, 1022, 1875, 32103, 2030, 563, 763, 7145, 540, 1022, 15658, 1370, 2501, 1524, 547, 875, 17237, 519, 13650, 616, 543, 875, 1082, 972, 616, 269, 1411, 949, 1616, 547, 4603, 609, 513, 3099, 540, 8060, 547, 3313, 1018, 1568, 1655, 538, 5329, 519, 2261, 7596, 619, 856, 540, 707, 24712, 563, 21900, 657, 540, 13650, 538, 519, 2278, 781, 4677, 21806, 540, 667, 1014, 324, 700, 889, 4752, 563, 12041, 779, 771, 25068, 281, 29621, 540, 513, 1587, 538, 713, 3126, 540, 4930, 1281, 711, 13822, 23596, 618, 2901, 676, 519, 2278, 610, 519, 3057, 514, 14986, 5980, 269, 15733, 616, 3769, 585, 21141, 543, 10855, 5301, 1152, 563, 27987, 547, 519, 6301, 8525, 454, 15100, 3057, 514, 14986, 5980, 454, 5472, 7126, 27616, 454, 8310, 3525, 1881, 281, 476, 5400, 270, 6187, 270, 1001, 274, 0, 763, 19088, 540, 24553, 281, 589, 645, 3951, 540, 24553, 14929, 704, 543, 519, 769, 3685, 540, 519, 6176, 6520, 630, 300, 3951, 4964, 645, 3951, 306, 994, 298, 4669, 654, 269, 2142, 9807, 454, 1607, 20037, 4964, 645, 3951, 568, 21626, 539, 689, 519, 476, 1220, 280, 20037, 4964, 8313, 24553, 14929, 704, 543, 519, 6602, 540, 519, 1239, 6520, 676, 918, 4669, 654, 269, 2142, 9807, 563, 763, 13567, 540, 7384, 3926, 5075, 776, 24553, 25371, 14929, 704, 17704, 1194, 519, 1558, 324, 7595, 18330, 540, 519, 2022, 8705, 18376, 3768, 18249, 269, 901, 645, 3951, 6257, 519, 1612, 762, 540, 834, 600, 5074, 24553, 257, 543, 6645, 875, 1352, 8057, 547, 1831, 834, 1492, 476, 274, 6113, 27732, 540, 519, 1158, 781, 1101, 2780, 4799, 20225, 541, 730, 689, 741, 2828, 543, 1920, 269, 519, 476, 272, 560, 2395, 723, 1044, 13991, 547, 4974, 1318, 7952, 7014, 281, 4388, 593, 875, 547, 2322, 593, 513, 7833, 267, 4388, 593, 875, 547, 3180, 13951, 267, 2653, 2409, 547, 6023, 2706, 12542, 543, 1016, 24002, 269, 1142, 835, 15313, 1031, 547, 581, 17191, 547, 27655, 513, 1804, 4015, 540, 6169, 543, 5515, 267, 1927, 609, 519, 16034, 543, 14167, 338, 540, 8387, 543, 21821, 539, 1560, 540, 4600, 543, 519, 4408, 543, 2934, 540, 1028, 9285, 9635, 543, 14049, 5867, 269, 519, 3872, 5790, 1031, 547, 581, 17543, 1500, 30414, 593, 519, 1259, 547, 2087, 513, 15313, 779, 563, 4002, 1010, 1101, 1554, 693, 12370, 729, 2899, 1256, 811, 11495, 982, 646, 1185, 4397, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 1223, 2015, 7311, 513, 2489, 3483, 6992, 16014, 269, 0, 763, 3504, 25069, 14369, 616, 5310, 1034, 4583, 585, 711, 1152, 741, 2259, 540, 1480, 15093, 855, 519, 4715, 12386, 4478, 621, 269, 1358, 7166, 14586, 540, 2112, 543, 513, 6074, 20165, 540, 741, 1378, 4961, 11221, 547, 18220, 519, 10971, 585, 513, 1032, 1354, 5870, 741, 798, 558, 538, 513, 1857, 9161, 1765, 1529, 2381, 908, 538, 519, 5356, 540, 519, 9601, 685, 1869, 15515, 908, 12271, 547, 519, 10971, 563, 3719, 267, 607, 966, 6387, 321, 2830, 9125, 6048, 4460, 639, 661, 828, 331, 6257, 538, 519, 1034, 2487, 3390, 540, 519, 11062, 16329, 1670, 4750, 267, 1614, 840, 20130, 13732, 11204, 13798, 1182, 1397, 602, 519, 1973, 3095, 1063, 519, 25069, 14369, 543, 741, 10971, 2965, 5956, 693, 4332, 563, 1103, 968, 301, 712, 5109, 29331, 281, 17510, 543, 12287, 3125, 538, 4400, 1633, 11204, 26467, 1182, 2223, 661, 828, 331, 11339, 602, 519, 13798, 1182, 267, 610, 968, 1485, 2835, 2223, 616, 5156, 547, 723, 20705, 547, 519, 25069, 322, 9082, 540, 519, 631, 4869, 29132, 6261, 29301, 320, 6874, 331, 1314, 5632, 320, 3148, 540, 3844, 6792, 269, 10266, 1540, 593, 5496, 19507, 539, 4773, 540, 12404, 267, 519, 13798, 1182, 2270, 2984, 827, 519, 10971, 267, 25069, 322, 16809, 543, 1585, 620, 2006, 30929, 602, 6039, 607, 2820, 22922, 8261, 338, 585, 25069, 322, 865, 16251, 16558, 563, 2691, 606, 25069, 322, 1126, 729, 4535, 267, 519, 865, 16251, 16558, 1131, 5077, 519, 4332, 620, 2006, 30929, 8659, 538, 891, 13798, 1182, 547, 3313, 519, 1034, 513, 22273, 5534, 4266, 547, 20006, 519, 1126, 883, 519, 25069, 322, 2146, 563, 763, 20169, 1131, 1287, 10929, 513, 3126, 540, 5402, 25287, 8319, 1117, 4332, 12738, 2966, 547, 28093, 826, 519, 1126, 609, 513, 9997, 267, 3313, 519, 1126, 779, 22038, 267, 543, 3715, 519, 3095, 1063, 1126, 543, 10971, 269, 1452, 4332, 12738, 3769, 28876, 543, 20803, 519, 1126, 267, 8429, 519, 1126, 936, 513, 3595, 267, 2542, 519, 1126, 779, 3520, 24005, 267, 9306, 519, 1126, 547, 519, 10971, 543, 267, 1851, 930, 2950, 267, 5373, 513, 3787, 540, 519, 1126, 779, 1973, 563, 4322, 12738, 941, 1101, 6592, 585, 16968, 640, 676, 5053, 22168, 267, 945, 14648, 873, 998, 513, 3864, 4168, 7828, 267, 855, 621, 568, 711, 1134, 6956, 1018, 789, 5921, 547, 519, 25069, 14369, 2933, 269, 634, 13798, 1182, 267, 661, 828, 331, 3081, 267, 1683, 602, 1271, 5813, 563, 2108, 16449, 519, 25069, 14369, 538, 1164, 1633, 6792, 267, 1268, 3125, 26520, 593, 519, 15896, 540, 513, 22038, 2223, 661, 828, 331, 11339, 269, 634, 2820, 22922, 1344, 8659, 1369, 519, 13798, 1182, 729, 519, 1883, 547, 606, 25069, 322, 10867, 779, 7004, 689, 6071, 17145, 543, 7633, 547, 513, 2407, 1268, 563, 763, 620, 2006, 30929, 6813, 2185, 8747, 540, 513, 476, 736, 6377, 9161, 4783, 1765, 26421, 4528, 18995, 513, 5601, 610, 15831, 7900, 835, 540, 2185, 4247, 281, 22815, 1424, 519, 1126, 267, 17666, 519, 1126, 267, 7829, 519, 16813, 559, 673, 10260, 610, 8808, 519, 1126, 269, 3962, 4528, 729, 849, 1016, 323, 22866, 883, 2516, 540, 2185, 2395, 1142, 267, 1142, 1895, 2404, 609, 513, 1880, 3090, 610, 2298, 269, 634, 865, 16251, 16558, 1131, 2015, 519, 4644, 540, 1142, 5601, 610, 15831, 267, 2534, 543, 3090, 2404, 609, 519, 6074, 1554, 547, 3313, 519, 1126, 779, 22038, 563, 763, 2185, 4247, 5340, 676, 519, 24587, 538, 519, 13798, 1182, 1765, 335, 1512, 1424, 267, 17666, 267, 7829, 519, 16813, 559, 673, 10260, 543, 8808, 1765, 21323, 519, 2185, 2081, 519, 10971, 6766, 519, 1126, 779, 22038, 563, 268, 623, 1512, 1424, 519, 1126, 281, 15987, 1906, 941, 6074, 547, 15093, 741, 2729, 267, 782, 25069, 14369, 941, 21406, 2390, 547, 15093, 741, 1973, 269, 10266, 543, 7092, 941, 9763, 607, 13710, 269, 10705, 519, 13798, 1182, 6813, 519, 5601, 610, 15831, 22815, 1424, 606, 3750, 4252, 267, 1129, 4328, 519, 1126, 779, 7004, 883, 513, 1373, 602, 1223, 1294, 5693, 1765, 32173, 958, 543, 19562, 8271, 269, 13068, 5075, 3090, 1242, 519, 2702, 547, 1451, 543, 20559, 5168, 269, 4033, 8440, 6813, 22815, 1424, 540, 519, 5023, 610, 1560, 563, 268, 10558, 532, 519, 1126, 281, 589, 1126, 4769, 1406, 1175, 991, 547, 581, 2111, 547, 1294, 267, 855, 849, 2877, 547, 581, 2938, 676, 519, 2146, 540, 10971, 538, 1931, 547, 581, 6444, 607, 513, 1373, 896, 10143, 4027, 269, 634, 5601, 610, 15831, 12651, 519, 1126, 909, 547, 21843, 602, 6284, 563, 268, 30047, 519, 16813, 559, 673, 10260, 281, 1635, 7829, 519, 16813, 559, 673, 10260, 267, 519, 5601, 610, 15831, 568, 7682, 532, 513, 3095, 1063, 519, 1126, 543, 519, 10143, 269, 1306, 519, 796, 9799, 1126, 729, 5532, 547, 922, 3993, 267, 865, 519, 20169, 568, 5532, 547, 922, 19121, 5601, 610, 15831, 563, 268, 16711, 519, 1126, 281, 4014, 519, 25069, 14369, 616, 4397, 547, 1118, 24279, 547, 741, 10971, 267, 789, 666, 849, 2503, 547, 4309, 29454, 689, 873, 269, 7754, 1564, 18071, 4775, 24587, 8808, 1453, 21843, 602, 23483, 2078, 563, 1607, 23483, 2078, 267, 610, 26315, 267, 729, 1572, 512, 26245, 26245, 5055, 23974, 559, 714, 339, 2993, 267, 610, 968, 1492, 29454, 540, 519, 10971, 609, 519, 1973, 540, 15093, 1848, 769, 922, 1034, 3665, 7664, 267, 519, 26315, 19411, 730, 538, 1480, 15093, 269, 968, 17829, 4079, 945, 941, 5697, 547, 791, 3205, 622, 519, 10971, 5747, 32380, 2223, 661, 828, 331, 1767, 269, 968, 3528, 16138, 5109, 519, 10971, 609, 741, 1973, 267, 789, 8120, 519, 10516, 540, 1272, 602, 519, 10971, 1185, 1655, 15735, 593, 873, 693, 4332, 1848, 0, 12507, 8767, 3609, 568, 519, 7939, 540, 4320, 540, 2724, 3761, 267, 676, 519, 3844, 4871, 538, 1931, 547, 3035, 3448, 3902, 6617, 269, 1403, 519, 4346, 568, 8022, 909, 1287, 519, 6239, 4871, 666, 2333, 519, 4871, 2557, 610, 519, 15395, 10421, 269, 24641, 950, 972, 568, 21748, 267, 1287, 519, 4871, 2557, 568, 4389, 269, 29698, 585, 519, 19938, 540, 14559, 18242, 7046, 2344, 4238, 269, 22418, 15944, 10421, 6465, 21881, 700, 1172, 7190, 22472, 15894, 9919, 4979, 7046, 2344, 4238, 281, 898, 568, 519, 9140, 543, 9513, 540, 2229, 19736, 269, 1403, 519, 631, 2529, 568, 1164, 1287, 519, 19736, 616, 4421, 865, 602, 1004, 4444, 621, 543, 2724, 4422, 547, 519, 590, 21990, 543, 952, 519, 631, 269, 590, 568, 1970, 1287, 596, 4444, 19736, 538, 713, 1259, 14559, 3761, 4679, 563, 290, 1662, 15944, 18859, 618, 454, 24576, 2688, 1557, 10765, 15448, 538, 3933, 8767, 8889, 538, 9031, 609, 1863, 17096, 1867, 454, 2005, 568, 513, 10421, 538, 799, 782, 519, 5010, 4871, 723, 547, 1832, 513, 6871, 540, 6666, 609, 519, 590, 21990, 269, 17497, 267, 621, 568, 1472, 476, 278, 18336, 268, 6465, 21881, 700, 1172, 7190, 22472, 281, 898, 568, 513, 10421, 538, 799, 1142, 4871, 814, 547, 2226, 513, 1978, 15395, 10421, 547, 7794, 741, 28880, 2990, 563, 268, 15894, 9919, 4979, 281, 898, 568, 519, 30651, 540, 519, 5580, 3970, 282, 9889, 553, 616, 8655, 547, 1114, 8492, 563, 14813, 3175, 7678, 538, 9031, 630, 1220, 275, 268, 1220, 280, 994, 6097, 547, 519, 3557, 7813, 540, 9031, 267, 519, 4295, 10637, 538, 519, 1032, 630, 1220, 276, 264, 729, 476, 279, 269, 829, 1298, 799, 814, 3592, 23060, 2094, 519, 2063, 1032, 630, 1220, 275, 264, 538, 799, 519, 10637, 2557, 729, 476, 274, 269, 476, 279, 829, 1298, 269, 4438, 713, 1032, 519, 1875, 3766, 21194, 24228, 2799, 676, 476, 1789, 829, 1298, 269, 634, 1079, 1292, 4128, 585, 1164, 10637, 1282, 713, 1974, 941, 1317, 540, 7050, 2229, 10210, 902, 543, 519, 3902, 540, 10568, 269, 4340, 547, 519, 3557, 7813, 540, 9031, 267, 2229, 6059, 602, 519, 10637, 2557, 538, 519, 1985, 1032, 1131, 2039, 1063, 476, 278, 269, 476, 278, 543, 476, 279, 269, 476, 274, 829, 1298, 563, 7628, 519, 1032, 630, 1220, 277, 264, 972, 729, 513, 6175, 538, 519, 2698, 10637, 540, 519, 2197, 630, 2102, 1968, 543, 1426, 264, 689, 476, 280, 269, 476, 274, 547, 476, 278, 269, 476, 280, 829, 1298, 543, 476, 1321, 269, 476, 276, 829, 1298, 547, 476, 277, 269, 829, 1298, 6606, 269, 634, 2229, 3576, 1896, 2101, 3268, 547, 3142, 519, 10637, 1524, 1282, 713, 1032, 607, 1134, 676, 9395, 2287, 519, 13075, 3609, 543, 11160, 13586, 519, 3761, 540, 1898, 21113, 998, 12666, 1436, 540, 1104, 12512, 269, 1306, 513, 1267, 519, 2489, 10637, 17379, 689, 476, 280, 269, 476, 274, 829, 1298, 630, 1220, 275, 268, 4962, 264, 547, 476, 278, 269, 476, 280, 829, 1298, 630, 1220, 276, 268, 6187, 264, 1299, 519, 1875, 3766, 21194, 24228, 538, 519, 1032, 476, 1220, 277, 2968, 476, 2537, 829, 1298, 269, 4438, 476, 1220, 278, 519, 4295, 10637, 4389, 689, 476, 278, 269, 476, 276, 829, 1298, 547, 476, 276, 269, 476, 280, 829, 1298, 267, 1813, 547, 9395, 13075, 3609, 269, 4340, 547, 519, 590, 21990, 519, 1426, 10637, 2799, 689, 476, 277, 269, 476, 280, 829, 1298, 630, 1220, 277, 264, 547, 476, 1015, 269, 829, 1298, 630, 1220, 278, 264, 1317, 540, 3761, 2427, 10148, 538, 799, 519, 5777, 540, 930, 1883, 1426, 25411, 1255, 630, 10175, 10568, 267, 7573, 267, 10448, 267, 575, 31649, 3092, 267, 264, 941, 2799, 269, 24641, 26483, 519, 1875, 32103, 5777, 8057, 693, 513, 14887, 10605, 2094, 2063, 1032, 543, 519, 2489, 5606, 3175, 630, 9573, 296, 264, 17379, 689, 476, 278, 269, 476, 280, 829, 1298, 547, 476, 278, 269, 476, 279, 829, 1298, 269, 634, 10637, 776, 7678, 538, 519, 1426, 5777, 1282, 519, 1032, 630, 1220, 279, 264, 2799, 547, 476, 1704, 269, 476, 277, 829, 1298, 607, 3379, 547, 519, 2063, 1032, 538, 799, 519, 1426, 10637, 729, 476, 1015, 269, 476, 274, 829, 1298, 267, 7133, 1004, 2713, 4441, 540, 1970, 543, 6378, 4747, 2516, 563, 763, 1875, 32103, 10637, 1185, 519, 1482, 2810, 7678, 607, 538, 519, 1032, 630, 1220, 278, 1070, 799, 729, 476, 277, 269, 829, 1298, 543, 1282, 519, 1032, 630, 1220, 279, 264, 729, 476, 278, 269, 476, 280, 829, 1298, 269, 4014, 519, 4295, 10637, 729, 4389, 547, 476, 276, 269, 476, 280, 829, 1298, 855, 1282, 713, 1032, 621, 4682, 1394, 547, 476, 279, 269, 476, 275, 829, 1298, 1317, 540, 519, 2518, 2333, 538, 930, 20161, 267, 2362, 10626, 13545, 858, 543, 676, 2199, 3761, 543, 3747, 9141, 5777, 269, 5606, 3175, 1282, 630, 1220, 279, 264, 6920, 602, 519, 5777, 540, 513, 1906, 21113, 630, 1240, 264, 1898, 1426, 3688, 10805, 8325, 2333, 3226, 1282, 519, 2034, 3368, 540, 519, 16642, 1032, 630, 1220, 279, 1040, 4033, 1713, 20334, 547, 630, 1220, 279, 264, 16057, 10637, 776, 7678, 3769, 2777, 10519, 267, 799, 568, 519, 4994, 602, 3800, 519, 1942, 540, 4070, 538, 9031, 267, 17040, 547, 476, 1556, 269, 829, 1298, 676, 4989, 630, 1220, 279, 1040, 634, 1699, 16642, 1032, 862, 10642, 609, 8897, 538, 24657, 3379, 547, 519, 1482, 3923, 540, 3105, 16642, 1032, 563, 763, 7082, 3902, 10637, 12422, 729, 476, 1556, 269, 476, 273, 829, 1298, 1282, 5147, 630, 1220, 280, 264, 607, 1996, 476, 2190, 269, 476, 274, 829, 1298, 538, 5147, 630, 1220, 279, 264, 543, 476, 1724, 269, 476, 272, 829, 1298, 538, 519, 3105, 3923, 269, 589, 2101, 2333, 538, 519, 4295, 10637, 729, 14754, 538, 5147, 630, 1220, 280, 264, 540, 476, 1704, 269, 476, 277, 829, 1298, 607, 3379, 547, 5147, 630, 1220, 279, 264, 476, 279, 269, 476, 275, 829, 1298, 269, 634, 1426, 10637, 2799, 676, 476, 277, 269, 476, 272, 829, 1298, 1282, 713, 16642, 1032, 269, 634, 1292, 2601, 585, 713, 1164, 10637, 729, 1813, 547, 1970, 13143, 2208, 3448, 547, 1104, 267, 1164, 3282, 5777, 543, 16283, 4914, 3854, 1102, 869, 563, 3519, 13254, 267, 835, 666, 2161, 602, 10637, 28148, 5540, 519, 2949, 2804, 2208, 267, 519, 2883, 5823, 1646, 543, 17908, 519, 7925, 4057, 12415, 540, 519, 2551, 269, 5606, 3175, 849, 11081, 519, 1483, 4747, 543, 28901, 10462, 269, 25392, 971, 24379, 5222, 540, 10637, 593, 519, 4346, 267, 972, 781, 513, 13618, 1851, 519, 1158, 3056, 3844, 8492, 602, 519, 3902, 6617, 568, 2469, 547, 581, 519, 6305, 6662, 540, 13075, 3609, 543, 519, 3844, 8492, 616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16851, 779, 7903, 4724, 28051, 543, 11615, 540, 4336, 1848, 901, 568, 513, 2022, 827, 590, 19192, 874, 639, 281, 1772, 17623, 13317, 1143, 543, 922, 7903, 2509, 28051, 543, 11615, 540, 4336, 5310, 711, 519, 4224, 590, 19192, 874, 639, 711, 11319, 909, 519, 7823, 3478, 621, 547, 519, 1283, 1310, 1390, 4674, 1152, 547, 723, 621, 2887, 1394, 1524, 547, 519, 5377, 1586, 543, 1586, 543, 1586, 563, 1103, 6665, 1043, 4975, 630, 24154, 7588, 2567, 901, 568, 513, 1007, 19384, 14810, 602, 568, 18297, 593, 4880, 4148, 1731, 8613, 3126, 2813, 676, 24883, 6428, 323, 534, 3873, 602, 568, 1759, 593, 513, 1650, 1071, 31465, 676, 519, 5496, 32392, 543, 1655, 5498, 29818, 4589, 14943, 3873, 601, 19537, 764, 517, 543, 10491, 16189, 327, 6759, 345, 269, 898, 568, 538, 14082, 267, 865, 596, 723, 547, 1224, 5705, 527, 956, 952, 596, 616, 1152, 606, 2296, 10584, 269, 594, 729, 4535, 538, 8478, 543, 2899, 6785, 14082, 267, 855, 723, 16618, 782, 540, 621, 269, 594, 6068, 6947, 547, 519, 3197, 6340, 538, 14082, 269, 898, 5433, 5432, 543, 17681, 269, 898, 568, 513, 7574, 1893, 543, 519, 2575, 538, 713, 3126, 568, 9800, 543, 7524, 269, 594, 4166, 29709, 594, 729, 2542, 5705, 527, 956, 543, 3893, 4503, 538, 519, 3638, 543, 3178, 540, 9423, 11200, 532, 998, 713, 1950, 267, 1045, 580, 528, 908, 1650, 269, 634, 3197, 616, 5701, 609, 15683, 543, 2463, 269, 634, 11015, 540, 519, 12416, 4652, 9529, 538, 9670, 8761, 602, 1039, 3178, 547, 519, 1650, 543, 3142, 713, 12357, 1158, 883, 12667, 2070, 563, 10908, 3558, 630, 288, 26894, 2567, 901, 568, 606, 4587, 3126, 602, 5956, 609, 513, 29907, 950, 513, 7128, 11464, 543, 513, 4387, 3068, 606, 14156, 9901, 9814, 607, 5722, 2199, 7264, 538, 1410, 2364, 2406, 2132, 689, 519, 4666, 269, 898, 568, 1614, 12405, 1279, 267, 543, 519, 1101, 1079, 1930, 909, 865, 1082, 5499, 2093, 543, 7399, 267, 855, 4005, 476, 274, 8813, 6366, 593, 922, 3068, 543, 30001, 782, 519, 4898, 543, 519, 27803, 1373, 8268, 267, 538, 1250, 6644, 269, 594, 993, 19914, 594, 14478, 621, 1317, 594, 4121, 1018, 594, 798, 711, 1616, 547, 798, 607, 594, 2328, 1250, 9661, 563, 296, 729, 865, 536, 6139, 1042, 676, 875, 789, 8694, 713, 3126, 267, 594, 4682, 593, 2228, 547, 1294, 952, 1866, 941, 1932, 543, 1336, 713, 1390, 5816, 281, 6196, 589, 514, 1406, 16458, 1923, 17352, 540, 9413, 543, 7641, 5059, 593, 2021, 2560, 4481, 17897, 476, 274, 630, 810, 952, 596, 20053, 547, 4585, 3794, 3558, 267, 4688, 713, 3135, 585, 2663, 1317, 972, 616, 9090, 27253, 619, 267, 1519, 1250, 6085, 972, 1916, 290, 1301, 601, 31733, 15540, 454, 2691, 621, 2501, 547, 2257, 5708, 543, 14810, 267, 594, 723, 2097, 547, 8275, 594, 993, 4584, 344, 267, 543, 711, 782, 616, 519, 1482, 269, 769, 1249, 538, 519, 2136, 2276, 267, 649, 616, 7092, 689, 1018, 594, 723, 2097, 547, 2165, 519, 25844, 601, 31733, 15540, 269, 898, 568, 513, 7839, 513, 6794, 602, 568, 546, 17741, 1524, 875, 2984, 616, 1373, 5143, 538, 2835, 543, 556, 19960, 1441, 593, 13819, 269, 634, 1434, 1532, 611, 7941, 538, 25844, 601, 31733, 2984, 568, 22880, 267, 4608, 805, 633, 267, 543, 19309, 269, 23875, 568, 2451, 538, 1532, 15277, 1700, 9767, 616, 2901, 519, 1434, 18560, 610, 8004, 610, 596, 2461, 519, 3983, 835, 269, 634, 3983, 3283, 3592, 2141, 6336, 538, 519, 1439, 267, 855, 596, 1205, 972, 538, 1768, 1026, 569, 796, 19960, 514, 894, 267, 22266, 267, 9409, 2081, 2507, 553, 519, 1434, 18560, 610, 7523, 6368, 9060, 513, 2849, 1088, 540, 5837, 610, 5289, 4222, 543, 7173, 5661, 269, 23620, 568, 4389, 547, 796, 1231, 25378, 3023, 10207, 602, 5693, 2097, 689, 21828, 6720, 553, 625, 540, 12779, 9038, 563, 1432, 21898, 338, 803, 1034, 568, 25844, 601, 31733, 9423, 568, 602, 789, 616, 711, 9237, 547, 519, 3197, 269, 1358, 4043, 547, 4174, 701, 2476, 741, 6988, 543, 8103, 543, 3196, 873, 547, 798, 1919, 1996, 741, 1915, 779, 5837, 24598, 25751, 269, 8786, 267, 16545, 3197, 723, 5837, 24598, 25751, 267, 789, 616, 1483, 543, 1590, 11441, 585, 2495, 267, 3483, 543, 15683, 1932, 269, 594, 993, 711, 2469, 547, 2491, 713, 1631, 267, 855, 25844, 601, 31733, 2984, 899, 547, 2322, 741, 3197, 883, 3810, 733, 337, 1882, 3871, 602, 789, 1131, 2760, 798, 8259, 7142, 547, 676, 741, 19252, 543, 796, 1231, 18944, 15888, 269, 1358, 616, 2322, 883, 891, 3871, 17033, 585, 9913, 4128, 267, 799, 2731, 18922, 547, 2724, 269, 5221, 25844, 601, 31733, 12696, 543, 15888, 4126, 585, 17542, 543, 17542, 540, 13588, 1700, 663, 789, 1589, 1152, 3810, 6720, 553, 1242, 2413, 1350, 14508, 2209, 1134, 798, 713, 269, 2991, 8384, 971, 513, 7210, 569, 1650, 267, 4986, 16853, 610, 13978, 538, 519, 20369, 3832, 610, 9997, 689, 519, 1650, 269, 2334, 568, 1317, 972, 568, 4986, 1483, 972, 269, 1703, 568, 4986, 683, 2130, 519, 1480, 1995, 540, 2495, 267, 5168, 267, 4641, 267, 610, 4898, 269, 15526, 6487, 891, 2010, 540, 2984, 616, 22938, 1426, 585, 519, 9997, 269, 1358, 616, 10464, 32649, 540, 2592, 5921, 547, 8945, 267, 13587, 633, 267, 543, 6445, 596, 909, 609, 513, 2898, 2603, 540, 4986, 267, 1175, 899, 952, 596, 17696, 1152, 25844, 601, 17711, 585, 782, 707, 3232, 8770, 4170, 563, 3383, 1577, 779, 1205, 1394, 547, 602, 2262, 590, 19192, 874, 639, 602, 6854, 1402, 4771, 883, 1250, 2247, 563, 5475, 1373, 25922, 676, 1776, 25844, 601, 31733, 670, 19447, 3126, 267, 594, 23564, 1394, 547, 28923, 547, 6968, 585, 513, 1007, 3126, 547, 4585, 269, 2334, 779, 950, 513, 476, 1708, 272, 28923, 856, 540, 3162, 9705, 9575, 1250, 3750, 269, 898, 729, 1572, 590, 19192, 874, 639, 256, 28611, 267, 594, 1131, 723, 2322, 621, 593, 1250, 1677, 13772, 13536, 1592, 2094, 621, 2838, 2542, 5705, 527, 956, 1586, 269, 1809, 1317, 540, 519, 5348, 577, 3055, 640, 267, 594, 2219, 1018, 519, 646, 1188, 267, 979, 585, 621, 2336, 296, 6068, 621, 256, 1656, 594, 4362, 602, 594, 2648, 519, 11114, 1259, 540, 10213, 2984, 26008, 2336, 763, 5958, 540, 713, 1650, 568, 3638, 18955, 609, 2370, 11353, 540, 4154, 543, 8988, 2429, 519, 476, 1626, 14501, 269, 3962, 835, 3217, 519, 21951, 593, 513, 3460, 267, 13031, 513, 2370, 3787, 811, 538, 9670, 2081, 602, 8591, 3178, 547, 1142, 1915, 267, 1256, 519, 9409, 3283, 269, 634, 5636, 1622, 723, 1394, 560, 1559, 602, 616, 607, 1950, 607, 519, 12325, 269, 16645, 1622, 543, 12325, 7567, 616, 5701, 25473, 543, 1100, 1164, 10509, 2110, 11912, 616, 1031, 547, 12990, 1434, 9423, 269, 10801, 519, 476, 1626, 14501, 267, 519, 21951, 13788, 513, 3460, 630, 320, 1158, 264, 602, 9428, 811, 543, 811, 1950, 607, 596, 979, 281, 596, 1332, 607, 519, 3197, 1332, 563, 306, 19192, 874, 639, 18544, 519, 1148, 540, 11029, 9423, 269, 901, 568, 513, 1641, 594, 13713, 20109, 2390, 2038, 538, 1250, 5816, 3101, 3646, 538, 513, 5816, 15819, 952, 11814, 633, 26306, 25792, 269, 769, 621, 594, 2911, 827, 519, 4563, 7395, 6509, 543, 519, 6519, 7395, 6509, 543, 741, 5107, 538, 938, 1480, 20369, 3832, 269, 594, 16668, 873, 1247, 6947, 547, 513, 4457, 1870, 1922, 514, 2574, 16159, 2911, 827, 11686, 779, 1379, 1404, 1394, 538, 476, 1001, 279, 609, 3624, 593, 4123, 269, 630, 2005, 779, 4769, 1406, 1439, 1134, 676, 519, 1259, 2507, 713, 1379, 1404, 11686, 6836, 2507, 585, 4892, 610, 585, 11686, 945, 5116, 519, 17612, 540, 7366, 540, 1507, 29704, 543, 824, 6705, 538, 28855, 344, 8094, 7804, 269, 8834, 16441, 11329, 856, 5375, 2093, 540, 19908, 616, 3833, 1114, 689, 8109, 2093, 269, 1261, 1767, 538, 4457, 267, 519, 1034, 2147, 2262, 789, 723, 547, 19908, 568, 512, 5451, 12639, 14504, 333, 267, 799, 1797, 6158, 543, 32198, 269, 1280, 519, 4457, 267, 621, 568, 2808, 519, 4158, 2427, 540, 9297, 609, 519, 5101, 4782, 2590, 547, 1445, 593, 6643, 950, 2324, 856, 9388, 269, 1717, 267, 972, 616, 5458, 3604, 538, 875, 6643, 568, 5342, 676, 513, 5375, 17009, 520, 8957, 606, 8109, 17009, 520, 269, 1635, 8109, 4441, 267, 5375, 619, 616, 2808, 1970, 8410, 3667, 3868, 2209, 630, 328, 4318, 1421, 1463, 543, 3196, 995, 267, 799, 666, 581, 2808, 1360, 678, 8775, 676, 8109, 4441, 1040, 8109, 2528, 9598, 919, 513, 1454, 811, 1164, 8410, 3667, 2511, 540, 2792, 267, 799, 568, 11603, 267, 12346, 811, 593, 1560, 1893, 267, 543, 568, 1759, 593, 3347, 563, 1607, 1946, 594, 6068, 590, 19192, 874, 639, 269, 1358, 2995, 713, 1650, 1210, 513, 1454, 811, 1164, 8410, 3667, 2511, 540, 9423, 269, 594, 849, 2648, 6947, 547, 519, 11051, 3717, 11114, 269, 5272, 2262, 789, 19039, 568, 2407, 540, 2495, 267, 3483, 267, 543, 7553, 269, 634, 3159, 543, 1259, 513, 2262, 568, 1767, 568, 811, 1271, 982, 519, 2262, 3294, 269, 1411, 1174, 513, 5152, 676, 875, 519, 22256, 521, 902, 621, 267, 865, 1932, 609, 8109, 4654, 269, 1358, 616, 2407, 540, 2592, 267, 2495, 267, 2796, 267, 543, 7553, 269, 1656, 3884, 1406, 602, 1018, 649, 616, 2731, 6159, 1324, 538, 8384, 610, 2542, 513, 1650, 286, 12213, 2495, 543, 3483, 286, 17610, 267, 6266, 540, 1004, 786, 2161, 789, 1175, 1616, 547, 9101, 883, 1945, 19278, 2507, 855, 952, 596, 3605, 1945, 827, 3054, 543, 1866, 1247, 3257, 865, 267, 3884, 1406, 602, 513, 2898, 2603, 1732, 269, 853, 4428, 602, 6529, 547, 596, 543, 2306, 596, 513, 1732, 1367, 2507, 2337, 596, 1332, 607, 513, 6857, 2713, 1373, 286, 2336, 10214, 1498, 649, 20912, 875, 3532, 543, 1898, 1434, 9423, 568, 538, 5375, 2528, 267, 649, 616, 5182, 1324, 585, 1434, 267, 27357, 267, 6891, 6681, 2984, 602, 10480, 938, 20339, 607, 1134, 607, 938, 5762, 3293, 267, 11821, 8186, 269, 12267, 602, 32570, 12008, 14326, 2877, 547, 14710, 8969, 281, 519, 3196, 602, 10943, 26262, 938, 20369, 3832, 543, 20637, 721, 538, 11995, 1642, 16272, 543, 2192, 16272, 602, 1152, 1118, 721, 4130, 267, 1611, 518, 267, 543, 3565, 547, 519, 27757, 540, 782, 1272, 593, 3047, 563, 288, 1007, 3659, 594, 4076, 1500, 1282, 8255, 609, 623, 32658, 630, 534, 1278, 3158, 540, 5243, 543, 3214, 264, 5227, 1776, 11114, 28923, 1397, 1572, 9197, 1662, 8092, 532, 593, 1411, 269, 594, 4769, 1406, 1589, 594, 1131, 899, 621, 1732, 982, 590, 19192, 874, 639, 267, 855, 594, 2648, 621, 1256, 811, 269, 634, 3178, 540, 1142, 1915, 9428, 543, 29908, 856, 538, 6397, 2081, 538, 1142, 12558, 269, 1656, 1810, 1406, 4413, 519, 2370, 19589, 693, 519, 1360, 1439, 1310, 596, 1589, 519, 12558, 814, 11943, 269, 3502, 2141, 267, 855, 1419, 267, 789, 1397, 596, 1945, 711, 3254, 4505, 269, 898, 568, 1419, 1945, 602, 25361, 538, 513, 7934, 543, 25361, 856, 519, 3178, 540, 519, 1915, 1700, 6011, 789, 616, 3206, 267, 6544, 1516, 267, 543, 9117, 538, 519, 1158, 269, 1215, 789, 616, 13321, 998, 942, 543, 2230, 563, 7069, 3659, 28529, 1014, 18937, 514, 814, 1175, 11540, 1945, 1360, 16367, 827, 1946, 594, 6068, 713, 1397, 269, 634, 9365, 32750, 568, 711, 2324, 267, 865, 594, 993, 25718, 2630, 1018, 28529, 1014, 814, 11540, 630, 2998, 547, 1010, 3135, 1657, 547, 1294, 811, 540, 1010, 9708, 2187, 265, 23219, 1874, 3125, 538, 25141, 543, 20556, 265, 3117, 4109, 8165, 568, 513, 1390, 948, 538, 3347, 1063, 2367, 543, 2021, 269, 28044, 1767, 267, 968, 13563, 22888, 616, 519, 521, 5417, 652, 538, 519, 2898, 1158, 267, 1317, 519, 812, 1281, 782, 1010, 8165, 693, 519, 5604, 3034, 2691, 513, 812, 543, 513, 4807, 616, 7555, 23179, 3562, 3562, 324, 19163, 267, 1018, 568, 621, 602, 519, 812, 6499, 286, 10705, 646, 1281, 711, 917, 269, 1261, 6499, 519, 4655, 547, 1439, 1317, 646, 568, 12922, 267, 1317, 646, 3085, 1406, 917, 875, 547, 4339, 267, 1317, 646, 968, 323, 3996, 333, 1406, 3494, 538, 8165, 2223, 1317, 646, 2760, 4718, 1010, 3993, 543, 4651, 4339, 538, 513, 4829, 995, 1259, 267, 1317, 1010, 6302, 616, 865, 14605, 9738, 602, 1169, 18156, 19876, 11579, 6233, 547, 519, 1360, 4099, 540, 1010, 9221, 267, 799, 568, 13035, 543, 31604, 269, 1879, 695, 8083, 540, 30270, 2097, 856, 540, 519, 812, 267, 621, 1797, 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 ]
[ 0, 26611, 23591, 24800, 270, 7090, 274, 692, 5035, 8827, 912, 22592, 1250, 306, 5720, 4311, 267, 1535, 2187, 453, 14851, 1535, 2652, 476, 271, 610, 1535, 2652, 476, 272, 281, 2132, 1535, 454, 453, 453, 3847, 267, 1318, 815, 476, 272, 267, 1535, 454, 453, 453, 6112, 2451, 10922, 1318, 912, 4848, 453, 13232, 815, 630, 3847, 1341, 1318, 264, 1315, 476, 273, 454, 4848, 13537, 263, 3847, 267, 4571, 267, 1318, 994, 4848, 14851, 4571, 2652, 1535, 1315, 4571, 912, 15235, 16596, 4571, 454, 4848, 453, 19197, 4571, 2999, 1535, 1315, 4571, 912, 15235, 453, 3847, 815, 4571, 454, 4848, 28432, 912, 15235, 453, 2431, 815, 4571, 454, 4848, 14851, 2612, 263, 3847, 910, 1318, 264, 10922, 476, 271, 269, 4962, 912, 15235, 453, 19874, 454, 453, 13537, 263, 3847, 267, 4571, 267, 1318, 994, 453, 16596, 703, 263, 2431, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 338, 1828, 815, 8827, 4590, 13537, 4433, 1828, 269, 3240, 306, 5720, 263, 20969, 278, 4375, 4649, 280, 280, 4917, 0, 5814, 556, 454, 3667, 815, 834, 763, 2656, 6960, 16541, 26357, 936, 519, 27823, 2915, 4799, 3667, 815, 1193, 31573, 29495, 994, 577, 1513, 24512, 815, 1592, 29495, 994, 10420, 18380, 815, 31460, 1721, 1347, 538, 1347, 338, 24512, 912, 825, 952, 556, 269, 14142, 2891, 314, 320, 22271, 316, 2580, 1347, 2187, 1038, 952, 1347, 538, 1347, 18380, 912, 2018, 1347, 18380, 314, 10420, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1347, 18380, 15630, 29239, 263, 10420, 267, 476, 272, 994, 604, 7003, 263, 10420, 18380, 264, 2652, 476, 2918, 912, 825, 1820, 2891, 10429, 357, 421, 481, 357, 12571, 360, 7430, 378, 11210, 490, 7430, 355, 7430, 482, 11210, 489, 5602, 12828, 912, 825, 1820, 2891, 420, 370, 367, 11210, 488, 7430, 359, 7430, 482, 18998, 26406, 351, 7430, 501, 7430, 355, 5602, 825, 1820, 263, 10420, 18380, 994, 0, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 7531, 3698, 5119, 318, 842, 549, 10031, 825, 2549, 815, 5286, 30784, 1052, 263, 1015, 1040, 31412, 263, 273, 267, 276, 994, 825, 1820, 263, 8649, 994, 825, 31901, 719, 815, 834, 8649, 263, 686, 267, 857, 264, 815, 2549, 263, 260, 323, 267, 260, 323, 6661, 260, 323, 257, 260, 263, 272, 267, 274, 267, 8649, 314, 272, 6012, 274, 7481, 825, 1820, 263, 560, 323, 719, 2020, 825, 1948, 3698, 710, 2241, 5119, 267, 645, 332, 454, 825, 1820, 2891, 2525, 284, 12861, 645, 332, 815, 2525, 5602, 825, 645, 332, 815, 5286, 15126, 8443, 272, 267, 273, 267, 274, 267, 275, 316, 1040, 31412, 263, 273, 267, 273, 264, 1948, 339, 1248, 6152, 547, 476, 273, 343, 273, 19336, 454, 825, 1820, 16360, 332, 994, 825, 31901, 719, 815, 834, 289, 332, 263, 686, 267, 857, 264, 815, 645, 332, 263, 260, 323, 267, 260, 323, 6661, 260, 323, 257, 260, 263, 272, 267, 271, 32390, 332, 314, 272, 6012, 271, 7481, 825, 1820, 263, 560, 323, 719, 2020, 825, 1948, 292, 2211, 30150, 8691, 454, 825, 1820, 19629, 333, 2525, 645, 332, 30818, 289, 332, 2652, 5602, 825, 1820, 16360, 332, 265, 289, 332, 2020, 825, 1948, 30467, 8691, 3097, 825, 1820, 19629, 333, 2525, 645, 332, 1535, 645, 332, 2652, 5602, 825, 1820, 18828, 269, 3901, 332, 592, 16360, 332, 32390, 332, 11723, 825, 1948, 3698, 710, 6152, 595, 341, 454, 825, 595, 341, 815, 5286, 15126, 8443, 276, 267, 277, 7481, 825, 1820, 19629, 333, 2525, 595, 341, 30818, 289, 332, 2652, 5602, 825, 1820, 18154, 341, 265, 289, 332, 2020, 825, 1948, 3698, 710, 6241, 6152, 667, 341, 3097, 825, 1948, 2750, 1051, 667, 341, 815, 1496, 276, 267, 277, 316, 317, 307, 1547, 265, 20886, 272, 267, 273, 2639, 825, 1948, 13376, 1496, 274, 267, 275, 27663, 825, 1948, 815, 20886, 276, 267, 1015, 27663, 825, 1948, 825, 1496, 1240, 267, 2190, 316, 6540, 825, 1820, 19629, 333, 2525, 667, 341, 2652, 5602, 825, 667, 341, 815, 5286, 15126, 8443, 276, 267, 277, 316, 1040, 31412, 263, 273, 267, 272, 994, 825, 1820, 20573, 341, 994, 825, 1820, 19629, 333, 2525, 667, 341, 265, 289, 332, 5602, 825, 1820, 20573, 341, 265, 289, 332, 2020, 825, 1948, 1952, 569, 1599, 547, 5119, 3097, 825, 2473, 332, 815, 5286, 6983, 4878, 16360, 332, 994, 825, 1820, 19629, 333, 2525, 311, 332, 1299, 2473, 332, 317, 274, 2525, 5602, 825, 1820, 11583, 332, 994, 825, 585, 1535, 538, 5286, 269, 526, 3438, 11583, 332, 267, 1566, 318, 4148, 4711, 284, 9131, 1348, 31095, 11172, 2187, 1038, 1535, 314, 1862, 316, 815, 1535, 1262, 274, 692, 825, 1820, 11583, 332, 2020, 825, 1948, 12133, 1496, 272, 267, 272, 2639, 825, 1820, 19629, 333, 2525, 12133, 532, 20886, 272, 267, 272, 14963, 2525, 5602, 825, 2473, 332, 815, 12639, 26769, 13906, 523, 622, 9230, 12639, 15126, 31912, 272, 267, 272, 14963, 1070, 311, 332, 1070, 9471, 284, 271, 994, 825, 1820, 11583, 332, 2020, 825, 1820, 19629, 333, 2525, 2745, 1101, 6241, 2473, 332, 5602, 825, 1820, 11583, 332, 18020, 314, 271, 316, 7481, 825, 1820, 19629, 333, 2525, 2745, 2063, 6241, 2473, 332, 5602, 825, 1820, 11583, 332, 314, 314, 273, 3910, 20285, 825, 1820, 19629, 333, 2525, 1372, 548, 1154, 1101, 1299, 2034, 4737, 2525, 5602, 825, 2473, 332, 815, 5286, 19709, 8541, 11583, 332, 267, 271, 267, 271, 994, 825, 2473, 332, 815, 5286, 19709, 8541, 11583, 332, 267, 271, 267, 271, 994, 825, 1820, 11583, 332, 2020, 825, 1820, 19629, 333, 2525, 18419, 1101, 3693, 2652, 5602, 825, 2506, 815, 5286, 15126, 31912, 272, 267, 273, 267, 274, 316, 7481, 825, 1820, 263, 10387, 994, 825, 1820, 18828, 19709, 8541, 263, 10387, 267, 272, 11723, 825, 1820, 19629, 333, 2525, 31412, 1496, 1015, 267, 736, 267, 1556, 267, 2641, 267, 1321, 267, 2420, 316, 2652, 5602, 825, 674, 332, 815, 5286, 15126, 8443, 1015, 267, 736, 267, 1556, 267, 2641, 267, 1321, 267, 2420, 7481, 825, 1820, 263, 293, 332, 994, 825, 674, 332, 815, 674, 332, 269, 31412, 263, 274, 267, 273, 994, 825, 1820, 263, 293, 332, 994, 825, 674, 332, 815, 5286, 6745, 4920, 2821, 263, 293, 332, 994, 825, 1820, 263, 293, 332, 2020, 825, 1820, 19629, 333, 2525, 19530, 532, 7516, 2525, 5602, 825, 1820, 263, 293, 332, 17482, 994, 825, 1820, 263, 293, 332, 17482, 314, 272, 316, 1341, 476, 272, 2020, 3698, 1292, 10031, 825, 5119, 318, 842, 549, 10797, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 3698, 13182, 19091, 263, 19091, 2187, 825, 585, 1775, 538, 5027, 912, 1038, 952, 1775, 711, 538, 834, 2969, 24774, 13426, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 19091, 284, 6358, 14061, 29328, 14061, 21639, 4590, 9492, 323, 284, 6358, 10797, 604, 13182, 19091, 263, 19091, 2187, 825, 952, 4699, 323, 2525, 257, 305, 13426, 1038, 3312, 6889, 2969, 24774, 4840, 1038, 4483, 6889, 307, 3722, 294, 4840, 1038, 1007, 19091, 284, 3269, 454, 1038, 585, 1775, 538, 5027, 912, 2018, 1007, 19091, 23785, 10520, 2536, 314, 13092, 26098, 9217, 22708, 1038, 1007, 19091, 284, 2908, 19091, 11468, 18737, 272, 2639, 1038, 1820, 28956, 19091, 994, 825, 8640, 4699, 323, 2525, 257, 293, 13426, 1038, 1820, 2891, 288, 28121, 9574, 570, 28121, 9574, 717, 28121, 9574, 595, 284, 24001, 2668, 8971, 263, 19091, 29644, 2891, 288, 19823, 19091, 29644, 2891, 307, 19823, 19091, 29644, 2891, 294, 19823, 19091, 29644, 2891, 290, 257, 21875, 825, 8640, 4699, 323, 2525, 257, 291, 13426, 1038, 4699, 323, 284, 6358, 4590, 1038, 678, 284, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 263, 19091, 9984, 272, 2187, 2018, 952, 630, 19091, 5157, 281, 328, 266, 273, 316, 2525, 9492, 323, 2567, 337, 23785, 272, 454, 1038, 1820, 16868, 994, 12828, 912, 825, 1820, 2891, 1103, 20777, 5027, 8442, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 21267, 28272, 607, 12301, 454, 5814, 21267, 31815, 832, 607, 544, 3712, 832, 454, 5814, 4351, 454, 5814, 11885, 607, 5286, 692, 3698, 2638, 318, 31371, 321, 2293, 263, 4900, 267, 897, 338, 267, 2681, 2187, 476, 1948, 13765, 2436, 5580, 1591, 568, 3109, 454, 476, 952, 9343, 268, 272, 285, 284, 271, 543, 5119, 314, 4900, 268, 272, 6012, 3712, 338, 316, 2652, 476, 272, 912, 825, 5119, 314, 4900, 268, 272, 6012, 3712, 338, 316, 815, 2681, 454, 825, 1948, 322, 718, 2638, 10468, 662, 321, 2293, 1599, 689, 1369, 3294, 454, 825, 2638, 318, 31371, 321, 2293, 263, 4900, 268, 272, 267, 897, 338, 267, 2681, 2020, 476, 1948, 13765, 2436, 2539, 1591, 568, 3109, 454, 476, 952, 9343, 266, 272, 283, 6352, 263, 9795, 264, 543, 5119, 314, 4900, 266, 272, 6012, 3712, 338, 316, 2652, 476, 272, 912, 825, 5119, 314, 4900, 266, 272, 6012, 3712, 338, 316, 815, 2681, 454, 825, 1948, 322, 718, 2638, 10468, 662, 321, 2293, 1599, 689, 1369, 3294, 454, 825, 2638, 318, 31371, 321, 2293, 263, 4900, 266, 272, 267, 897, 338, 267, 2681, 2020, 476, 1948, 13765, 2436, 2451, 1591, 568, 3109, 454, 476, 952, 897, 338, 268, 272, 285, 284, 271, 543, 5119, 314, 4900, 6012, 3712, 338, 268, 272, 316, 2652, 476, 272, 912, 825, 5119, 314, 4900, 6012, 3712, 338, 268, 272, 316, 815, 2681, 454, 825, 1948, 322, 718, 2638, 10468, 662, 321, 2293, 1599, 689, 1369, 3294, 454, 825, 2638, 318, 31371, 321, 2293, 263, 4900, 267, 897, 338, 268, 272, 267, 2681, 2020, 476, 1948, 13765, 2436, 1318, 1591, 568, 3109, 454, 476, 952, 897, 338, 266, 272, 283, 6352, 263, 9795, 314, 4900, 8079, 543, 5119, 314, 4900, 6012, 3712, 338, 266, 272, 316, 2652, 476, 272, 912, 825, 5119, 314, 4900, 6012, 3712, 338, 266, 272, 316, 815, 2681, 454, 825, 1948, 322, 718, 2638, 10468, 662, 321, 2293, 1599, 689, 1369, 3294, 454, 825, 2638, 318, 31371, 321, 2293, 263, 4900, 267, 897, 338, 266, 272, 267, 2681, 9239, 258, 8073, 513, 4351, 15279, 10233, 3009, 454, 3698, 4351, 318, 10233, 263, 3712, 832, 564, 2187, 476, 1247, 6936, 912, 825, 4351, 318, 10233, 815, 834, 258, 257, 266, 5257, 269, 21860, 8443, 12690, 26716, 4069, 3488, 23713, 24833, 277, 4281, 280, 5723, 7374, 9128, 10807, 585, 1775, 538, 2039, 263, 277, 264, 7481, 825, 952, 4351, 318, 10233, 11203, 1412, 258, 13697, 13697, 13697, 262, 543, 4351, 318, 10233, 711, 538, 4778, 564, 912, 8587, 4778, 564, 14491, 263, 12690, 318, 10233, 994, 8587, 2132, 4351, 318, 10233, 7531, 3698, 30256, 263, 9795, 2187, 476, 1948, 8073, 585, 8520, 602, 2196, 998, 1169, 1591, 538, 5119, 454, 476, 1948, 2637, 4733, 2681, 267, 3651, 2681, 547, 519, 1591, 543, 1289, 2638, 318, 31371, 321, 2293, 950, 1265, 606, 796, 3712, 1819, 3109, 1591, 563, 476, 1948, 25849, 3043, 2681, 950, 1265, 513, 3043, 1591, 609, 544, 3712, 832, 30419, 24417, 326, 321, 3488, 258, 13697, 13697, 13697, 262, 1916, 476, 4778, 564, 815, 1305, 4590, 476, 585, 4737, 538, 2039, 263, 271, 267, 6352, 263, 9795, 15892, 825, 585, 6241, 538, 2039, 263, 271, 267, 6352, 263, 9795, 314, 992, 8079, 2187, 8587, 1948, 1336, 796, 3712, 1819, 3109, 1591, 454, 8587, 952, 5119, 314, 992, 6012, 26383, 316, 2652, 476, 272, 912, 1038, 1948, 22056, 4351, 2681, 609, 3097, 1038, 2681, 815, 476, 544, 3712, 832, 30419, 24417, 326, 321, 263, 12690, 318, 10233, 263, 3712, 832, 564, 4917, 1038, 5119, 314, 992, 6012, 26383, 316, 815, 2681, 454, 1038, 1948, 21040, 2681, 547, 30256, 454, 1038, 2638, 318, 31371, 321, 2293, 21405, 267, 6241, 267, 2681, 994, 8587, 1948, 1336, 796, 3712, 1819, 3043, 1591, 454, 8587, 8640, 5119, 314, 992, 6012, 26383, 316, 2652, 476, 271, 10778, 1038, 5119, 314, 992, 6012, 26383, 316, 815, 476, 544, 3712, 832, 30419, 24417, 326, 321, 3488, 258, 13697, 13697, 13697, 262, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 8173, 476, 16294, 18452, 19336, 10778, 825, 476, 271, 2433, 3043, 454, 825, 476, 272, 2433, 3109, 454, 476, 27491, 8627, 912, 825, 901, 1982, 786, 2681, 1125, 3403, 5119, 676, 23454, 7755, 659, 1890, 2281, 883, 519, 1482, 2681, 563, 476, 29185, 476, 1948, 19461, 1242, 3403, 5119, 454, 476, 5119, 815, 20886, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 25662, 272, 267, 272, 267, 271, 267, 271, 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 ]
[ 282, 268, 272, 9368, 316, 315, 24189, 1422, 3847, 314, 276, 282, 10954, 13727, 1422, 2431, 7751, 454, 259, 343, 22174, 1422, 3847, 314, 276, 282, 10954, 13727, 1422, 2431, 7751, 454, 259, 343, 22174, 1422, 3847, 263, 276, 282, 10954, 13727, 1422, 2431, 7751, 454, 259, 343, 22174, 1422, 3847, 15631, 275, 282, 268, 272, 9368, 9385, 24189, 1422, 3847, 314, 276, 282, 10954, 13727, 1422, 2431, 7751, 0, 258, 7726, 281, 6496, 20943, 2045, 6052, 13773, 634, 23893, 2496, 6097, 547, 519, 960, 20589, 11532, 267, 519, 960, 2944, 593, 606, 1843, 676, 513, 2121, 3196, 11224, 519, 1689, 538, 15452, 1648, 540, 519, 1843, 780, 29973, 569, 15452, 1648, 568, 519, 1648, 1031, 585, 5163, 780, 19950, 5944, 267, 607, 960, 568, 2944, 593, 606, 1843, 267, 1761, 1648, 666, 581, 6740, 538, 602, 1843, 269, 780, 1012, 6904, 1383, 814, 519, 1034, 15452, 1648, 2496, 272, 269, 1323, 20987, 814, 513, 1804, 2179, 540, 15452, 1648, 538, 8184, 1813, 547, 922, 1804, 2527, 543, 3728, 6991, 269, 476, 273, 269, 589, 13836, 16207, 676, 513, 8486, 7815, 267, 4352, 2348, 513, 1507, 2527, 267, 666, 723, 513, 1804, 2179, 540, 15452, 1648, 1813, 547, 922, 3728, 6991, 780, 1012, 1548, 2188, 521, 1860, 15452, 1648, 2496, 272, 269, 11512, 602, 972, 616, 1079, 2188, 602, 1860, 875, 1454, 15452, 1648, 513, 3001, 1843, 786, 723, 281, 2527, 543, 3432, 269, 5620, 1053, 2347, 713, 17431, 547, 1451, 875, 2527, 7506, 606, 1843, 779, 15452, 1648, 780, 1012, 1548, 1281, 15452, 1648, 2333, 609, 2496, 2005, 7140, 856, 602, 606, 1843, 779, 15452, 1648, 4679, 607, 519, 4009, 540, 922, 3432, 269, 589, 1286, 3001, 476, 2412, 18890, 814, 2185, 2053, 607, 1454, 15452, 1648, 607, 835, 3001, 476, 736, 18890, 267, 1247, 693, 476, 2568, 18890, 513, 1286, 11438, 8370, 2053, 607, 1454, 15452, 1648, 607, 693, 476, 736, 18890, 269, 4935, 513, 16434, 2333, 538, 3432, 666, 2014, 513, 1804, 2333, 538, 15452, 1648, 780, 1012, 4208, 568, 960, 1689, 538, 15452, 1648, 2496, 763, 6240, 540, 960, 543, 15452, 1648, 630, 10193, 1634, 607, 519, 960, 20589, 11532, 264, 2829, 602, 519, 960, 2944, 676, 519, 2040, 540, 782, 4229, 9117, 593, 513, 9325, 11224, 519, 1689, 538, 519, 15452, 1648, 540, 519, 9325, 269, 2560, 634, 15452, 1648, 540, 519, 3625, 4679, 607, 513, 1267, 676, 519, 2179, 540, 960, 780, 1012, 1548, 568, 15452, 1648, 4542, 2496, 298, 514, 2045, 1648, 568, 2047, 14354, 547, 519, 2527, 540, 519, 1843, 543, 547, 519, 4009, 540, 922, 6991, 281, 918, 9950, 269, 815, 476, 272, 270, 273, 544, 642, 273, 269, 1403, 519, 2527, 814, 4559, 540, 13532, 543, 519, 6991, 540, 7397, 829, 2034, 267, 519, 15452, 1648, 814, 4559, 540, 13532, 2173, 4394, 16302, 829, 2034, 16302, 780, 1012, 1548, 666, 3247, 15452, 1648, 2496, 7230, 8221, 519, 15452, 1648, 666, 581, 12913, 676, 26632, 908, 519, 1648, 547, 519, 5790, 998, 11508, 610, 676, 14291, 621, 883, 1776, 1106, 540, 1648, 269, 634, 1034, 1455, 1826, 540, 29584, 568, 513, 7344, 20347, 799, 29620, 5163, 998, 11508, 20347, 21181, 780, 1012, 4208, 1281, 15452, 1648, 3251, 519, 1482, 2496, 763, 2040, 540, 1761, 1648, 543, 12550, 2675, 8084, 15452, 1648, 568, 1572, 7344, 1648, 543, 13978, 3586, 585, 513, 1062, 950, 972, 616, 1152, 15061, 4229, 630, 7224, 1875, 15926, 969, 894, 4229, 1040, 634, 811, 2527, 513, 3001, 1843, 814, 267, 519, 811, 15452, 1648, 621, 786, 4865, 693, 519, 1482, 3432, 780, 1012, 6496, 15452, 1648, 979, 1524, 2496, 6097, 547, 519, 4521, 540, 11094, 540, 6052, 267, 519, 2179, 540, 1648, 538, 513, 1062, 1590, 2141, 2611, 3586, 269, 1809, 649, 917, 602, 15452, 1648, 568, 13302, 543, 2810, 950, 649, 12235, 513, 3440, 538, 519, 2011, 780, 1012, 6496, 1689, 538, 15452, 1648, 3160, 960, 2496, 7659, 2474, 269, 4880, 960, 2944, 593, 606, 1843, 11224, 519, 1843, 779, 1689, 538, 15452, 1648, 269, 4746, 1572, 519, 960, 20589, 6240, 780, 1012, 6904, 1131, 723, 519, 1034, 15452, 1648, 2496, 2691, 606, 1843, 814, 519, 19845, 17129, 1761, 1648, 267, 621, 814, 519, 17834, 4306, 15452, 1648, 269, 0, 258, 2052, 596, 3142, 856, 519, 18232, 1535, 3586, 2496, 305, 24655, 7069, 20712, 454, 3674, 713, 3656, 286, 594, 10924, 602, 18232, 1535, 568, 513, 3586, 602, 568, 16042, 4642, 269, 1924, 594, 4547, 621, 856, 269, 1879, 594, 3576, 519, 12045, 267, 519, 18232, 1535, 666, 576, 1194, 856, 609, 519, 14009, 269, 1924, 594, 6415, 2451, 609, 519, 12045, 540, 519, 954, 326, 1537, 540, 535, 3287, 264, 609, 2463, 547, 3294, 269, 1924, 594, 6415, 9247, 3843, 547, 1265, 519, 2557, 540, 1689, 540, 519, 2040, 540, 782, 519, 535, 3287, 264, 2418, 799, 1058, 3160, 535, 3287, 6393, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 1862, 864, 282, 325, 3287, 6661, 261, 11898, 282, 323, 315, 842, 261, 11898, 282, 325, 3287, 6661, 261, 11898, 282, 325, 3287, 264, 5016, 1607, 3095, 1058, 960, 9745, 780, 8310, 12995, 676, 513, 15645, 1807, 1384, 1012, 12226, 543, 1234, 18680, 692, 300, 550, 528, 454, 3674, 713, 3656, 888, 5591, 269, 1280, 835, 3364, 267, 621, 781, 711, 4399, 18773, 1535, 259, 538, 519, 7533, 281, 621, 781, 15848, 269, 1280, 1776, 3364, 267, 1945, 602, 568, 3586, 3085, 1405, 1689, 267, 865, 621, 666, 1405, 581, 16042, 930, 1297, 563, 296, 10924, 602, 18232, 1535, 568, 513, 3586, 602, 568, 16042, 4642, 269, 1924, 594, 4547, 621, 856, 269, 1879, 594, 3576, 519, 12045, 267, 519, 18232, 1535, 666, 576, 1194, 856, 609, 519, 14009, 269, 1924, 594, 6415, 2451, 609, 519, 12045, 540, 519, 954, 326, 1537, 540, 535, 3287, 264, 609, 2463, 547, 3294, 269, 1924, 594, 6415, 9247, 3843, 547, 1265, 519, 2557, 540, 1689, 540, 519, 2040, 540, 782, 519, 535, 3287, 264, 2418, 799, 1058, 3160, 535, 3287, 6393, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 1862, 864, 282, 325, 3287, 6661, 261, 11898, 282, 323, 315, 842, 261, 11898, 282, 325, 3287, 6661, 261, 11898, 282, 325, 3287, 264, 5016, 1607, 3095, 1058, 960, 9745, 780, 8310, 12995, 676, 513, 15645, 1807, 912, 305, 24655, 7069, 20712, 692, 5591, 269, 1280, 835, 3364, 267, 621, 781, 711, 4399, 18773, 1535, 259, 538, 519, 7533, 281, 621, 781, 15848, 269, 1280, 1776, 3364, 267, 1945, 602, 568, 3586, 3085, 1405, 1689, 267, 865, 621, 666, 1405, 581, 16042, 930, 1297, 780, 28989, 267, 594, 6415, 14322, 602, 519, 1689, 538, 1535, 568, 16042, 4642, 269, 1924, 594, 556, 1399, 6244, 621, 1384, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 1862, 343, 6661, 261, 11898, 282, 315, 842, 261, 11898, 282, 325, 3287, 264, 261, 11898, 282, 284, 261, 11898, 282, 325, 3287, 264, 5016, 2252, 513, 3586, 1297, 666, 1405, 581, 16042, 930, 1297, 267, 1287, 1946, 666, 649, 946, 552, 543, 14039, 286, 4595, 538, 12719, 873, 649, 2141, 1935, 930, 1297, 4352, 711, 4642, 269, 594, 917, 602, 552, 815, 519, 3970, 540, 630, 272, 266, 337, 14672, 8203, 333, 607, 562, 4485, 20581, 269, 4208, 666, 1405, 594, 798, 519, 1482, 3364, 585, 513, 1599, 602, 4485, 4642, 2496, 8002, 1302, 3085, 1405, 15848, 3160, 4642, 538, 713, 9183, 888, 6097, 547, 9504, 834, 634, 4909, 14497, 540, 20145, 5016, 263, 3916, 527, 607, 554, 4485, 4642, 786, 1205, 519, 4890, 7533, 2020, 7617, 14687, 547, 519, 3113, 1336, 693, 454, 10674, 2517, 523, 25769, 3820, 28293, 22077, 1495, 4442, 318, 1492, 648, 332, 15058, 318, 20412, 639, 257, 1496, 29662, 5287, 6540, 4517, 952, 596, 1413, 693, 519, 3113, 454, 327, 815, 519, 31302, 1689, 538, 1535, 815, 15848, 815, 476, 271, 630, 933, 917, 689, 16755, 602, 554, 568, 4642, 2094, 621, 781, 31302, 2020, 8310, 12995, 676, 513, 15645, 1807, 912, 305, 24655, 7069, 20712, 454, 1432, 594, 1616, 547, 917, 568, 952, 713, 4661, 568, 3020, 912, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 286, 323, 315, 842, 261, 11898, 282, 325, 3287, 264, 261, 11898, 282, 284, 261, 11898, 282, 325, 3287, 264, 4840, 2005, 4667, 547, 1118, 2631, 602, 519, 12045, 540, 519, 4550, 12045, 540, 513, 1599, 568, 519, 1599, 630, 5976, 519, 17181, 540, 519, 595, 3586, 2020, 1432, 594, 1589, 602, 519, 3830, 909, 972, 9745, 3081, 568, 602, 519, 2557, 540, 1689, 540, 519, 2040, 540, 535, 3287, 264, 609, 2463, 547, 630, 325, 3287, 264, 6148, 286, 994, 268, 594, 1589, 713, 814, 547, 798, 609, 519, 6207, 12045, 610, 6207, 7533, 799, 594, 6415, 711, 1932, 2386, 827, 780, 5194, 1448, 594, 1810, 1405, 1174, 568, 519, 991, 585, 513, 15848, 693, 519, 1439, 540, 519, 7533, 269, 1548, 1131, 4755, 952, 649, 3576, 621, 1055, 286, 14348, 621, 711, 3274, 1689, 689, 1858, 883, 519, 2040, 540, 782, 519, 13080, 630, 325, 3287, 264, 262, 338, 264, 2496, 2252, 713, 568, 3020, 267, 1287, 1946, 1281, 519, 31302, 2557, 540, 1689, 540, 519, 2040, 540, 782, 519, 535, 3287, 264, 262, 338, 3160, 535, 3287, 264, 2496, 27887, 9016, 281, 7937, 267, 568, 621, 1317, 519, 535, 3287, 264, 568, 519, 4890, 3259, 1373, 3773, 693, 602, 8216, 256, 9747, 256, 31302, 2557, 540, 1689, 540, 519, 2040, 256, 11289, 596, 256, 2020, 1432, 952, 649, 1705, 519, 7533, 540, 535, 3287, 264, 4849, 649, 1016, 5523, 538, 17093, 3287, 264, 3079, 540, 15848, 888, 27887, 9016, 281, 8550, 332, 785, 519, 3948, 1657, 9745, 267, 519, 4845, 1657, 621, 4267, 621, 2433, 321, 1862, 2020, 8310, 12995, 676, 513, 15645, 1807, 912, 300, 550, 528, 692, 28989, 267, 594, 6415, 14322, 602, 519, 1689, 538, 1535, 568, 16042, 4642, 269, 1924, 594, 556, 1399, 6244, 621, 1384, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 1862, 343, 6661, 261, 11898, 282, 315, 842, 261, 11898, 282, 325, 3287, 264, 261, 11898, 282, 284, 261, 11898, 282, 325, 3287, 264, 5016, 2252, 513, 3586, 1297, 666, 1405, 581, 16042, 930, 1297, 267, 1287, 1946, 666, 649, 946, 552, 543, 14039, 888, 324, 543, 14039, 616, 21635, 267, 1454, 519, 1482, 607, 476, 273, 543, 476, 271, 616, 563, 7712, 538, 12719, 873, 649, 2141, 1935, 930, 1297, 4352, 711, 4642, 563, 296, 917, 602, 552, 815, 519, 3970, 540, 630, 272, 266, 337, 14672, 8203, 333, 607, 562, 4485, 20581, 563, 8002, 1302, 602, 3970, 4780, 2471, 547, 2144, 267, 711, 552, 269, 594, 1589, 596, 1522, 581, 14845, 1079, 1114, 1919, 281, 606, 4082, 602, 568, 4657, 630, 7945, 607, 630, 272, 1341, 678, 14672, 8203, 333, 607, 562, 2242, 267, 543, 519, 3970, 540, 602, 4082, 563, 3963, 666, 1405, 594, 798, 519, 1482, 3364, 585, 513, 1599, 602, 4485, 4642, 2496, 8002, 1302, 3085, 1405, 15848, 3160, 4642, 538, 713, 9183, 888, 5591, 563, 6097, 547, 9504, 834, 634, 4909, 14497, 540, 20145, 5016, 263, 3916, 527, 607, 554, 4485, 4642, 786, 1205, 519, 4890, 7533, 2020, 7617, 14687, 547, 519, 3113, 1336, 693, 454, 10674, 2517, 523, 25769, 3820, 28293, 22077, 1495, 4442, 318, 1492, 648, 332, 15058, 318, 20412, 639, 257, 1496, 29662, 5287, 6540, 4517, 952, 596, 1413, 693, 519, 3113, 454, 327, 815, 519, 31302, 1689, 538, 1535, 815, 15848, 815, 476, 271, 630, 933, 917, 689, 16755, 602, 554, 568, 4642, 2094, 621, 781, 31302, 2020, 4407, 621, 781, 3020, 602, 519, 12045, 540, 519, 1884, 3187, 29719, 540, 606, 2076, 571, 1076, 1599, 568, 519, 1599, 3294, 267, 519, 6169, 568, 811, 7294, 982, 1018, 596, 616, 3257, 780, 8310, 12995, 676, 513, 15645, 1807, 912, 305, 24655, 7069, 20712, 692, 324, 543, 14039, 616, 21635, 267, 1454, 519, 1482, 607, 476, 273, 543, 476, 271, 616, 563, 8002, 1302, 602, 3970, 4780, 2471, 547, 2144, 267, 711, 552, 269, 594, 1589, 596, 1522, 581, 14845, 1079, 1114, 1919, 281, 606, 4082, 602, 568, 4657, 630, 7945, 607, 630, 272, 1341, 678, 14672, 8203, 333, 607, 562, 2242, 267, 543, 519, 3970, 540, 602, 4082, 780, 296, 6415, 1210, 1496, 23169, 1535, 815, 15848, 316, 799, 568, 519, 4082, 630, 343, 273, 910, 1535, 272, 1040, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 364, 26406, 490, 418, 493, 350, 418, 480, 357, 7511, 32512, 13200, 509, 12486, 16043, 495, 10524, 361, 16533, 484, 16533, 377, 20693, 505, 14756, 503, 418, 480, 357, 418, 493, 494, 28032, 505, 14395, 490, 419, 378, 492, 7511, 18777, 374, 24757, 8147, 23946, 370, 4970, 498, 32517, 507, 13644, 479, 420, 368, 357, 19404, 493, 23284, 9463, 488, 16583, 484, 28793, 11590, 353, 31801, 379, 12486, 30522, 353, 29072, 19867, 379, 13644, 374, 7511, 417, 354, 487, 419, 490, 362, 419, 366, 378, 419, 354, 508, 8147, 16043, 495, 10524, 361, 7511, 4970, 497, 4970, 504, 19540, 503, 19867, 489, 18998, 419, 510, 498, 419, 358, 370, 32512, 417, 495, 502, 25520, 21550, 350, 28098, 417, 495, 502, 421, 25693, 14756, 493, 13213, 485, 30837, 508, 27747, 372, 4970, 354, 21550, 376, 7511, 418, 489, 505, 420, 479, 502, 418, 369, 479, 31801, 489, 12486, 19867, 478, 20069, 19540, 503, 19867, 489, 421, 25693, 417, 379, 483, 421, 350, 375, 13644, 479, 13107, 492, 420, 485, 359, 26266, 365, 7511, 26166, 22909, 494, 25520, 418, 366, 509, 20881, 504, 420, 25693, 20693, 505, 23284, 9463, 488, 420, 489, 365, 24757, 418, 364, 368, 23946, 367, 8147, 23946, 370, 20881, 504, 13213, 485, 13200, 365, 16043, 495, 10524, 361, 7511, 420, 369, 482, 418, 371, 365, 419, 510, 498, 419, 358, 370, 32512, 417, 495, 502, 25520, 21550, 350, 28098, 417, 495, 502, 14756, 482, 14756, 485, 7511, 30837, 351, 13644, 499, 12486, 692, 1012, 30731, 28786, 19540, 503, 692, 21316, 25278, 476, 15159, 13601, 26175, 491, 17958, 30678, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 7511, 421, 360, 502, 26233, 356, 420, 25693, 13644, 511, 420, 357, 478, 12486, 14395, 481, 16533, 484, 18777, 350, 28997, 501, 18998, 23746, 25335, 484, 25060, 500, 25520, 419, 376, 500, 31801, 489, 421, 505, 484, 29873, 21928, 22047, 13107, 497, 30678, 12916, 379, 17958, 7511, 27064, 363, 417, 351, 481, 18809, 8147, 10429, 370, 18809, 25426, 362, 30903, 502, 25520, 25335, 352, 19540, 367, 25913, 418, 350, 486, 23284, 419, 484, 509, 418, 480, 487, 7511, 12255, 27730, 31033, 9463, 371, 23989, 419, 353, 374, 12486, 10429, 372, 417, 508, 489, 17958, 20881, 498, 25060, 483, 418, 489, 361, 16088, 12255, 27730, 25520, 18777, 350, 28997, 501, 28997, 501, 25622, 19764, 478, 9463, 495, 417, 375, 374, 418, 357, 350, 18998, 10524, 379, 419, 506, 509, 25520, 31308, 509, 417, 508, 489, 10254, 370, 30853, 12255, 29004, 362, 26166, 22909, 494, 18998, 26406, 351, 27381, 351, 25520, 23746, 25335, 484, 25060, 500, 26175, 495, 27730, 25520, 26266, 354, 31801, 489, 18713, 378, 25051, 351, 18021, 498, 17958, 31801, 489, 31365, 19764, 478, 9463, 495, 8147, 25060, 483, 418, 489, 361, 18713, 378, 25051, 351, 17958, 16043, 371, 419, 499, 490, 30837, 351, 22909, 482, 417, 375, 374, 21316, 25278, 476, 15159, 22047, 11590, 353, 11590, 496, 19764, 493, 419, 367, 375, 14756, 509, 8147, 10429, 370, 417, 509, 374, 10951, 361, 12255, 29004, 362, 30317, 27381, 510, 15159, 22047, 21251, 421, 506, 478, 28884, 14756, 368, 18021, 355, 7511, 12255, 14756, 482, 12486, 30244, 12916, 379, 418, 480, 357, 23746, 23284, 25335, 352, 19540, 367, 18777, 372, 14035, 504, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 25426, 362, 30903, 502, 8147, 16533, 353, 10429, 370, 15159, 421, 480, 352, 11590, 505, 10429, 371, 20069, 419, 509, 358, 421, 502, 369, 25520, 12571, 495, 19404, 493, 10429, 361, 19764, 493, 7511, 25426, 362, 30903, 502, 8147, 26033, 490, 9463, 359, 421, 506, 478, 17958, 595, 476, 16043, 500, 10783, 3757, 22614, 511, 487, 21550, 485, 19404, 493, 30837, 508, 11590, 353, 11590, 496, 19764, 493, 13644, 511, 420, 357, 478, 419, 376, 500, 19540, 503, 31801, 489, 31365, 19867, 478, 421, 506, 478, 7511, 28793, 25426, 368, 7511, 13601, 16533, 493, 421, 481, 357, 26166, 12486, 21316, 25278, 476, 12571, 491, 26175, 364, 28786, 23989, 419, 509, 358, 421, 502, 369, 14395, 508, 421, 359, 490, 14395, 353, 12486, 21316, 25278, 476, 31006, 10254, 507, 7511, 419, 376, 500, 19540, 503, 25203, 362, 7511, 15159, 418, 493, 494, 28032, 505, 28098, 13200, 365, 700, 2562, 303, 19272, 13127, 23687, 661, 3041, 303, 19272, 28859, 350, 373, 25203, 362, 19764, 478, 9463, 495, 7511, 419, 509, 358, 421, 502, 369, 420, 377, 363, 10524, 370, 7511, 420, 377, 375, 23521, 378, 18777, 379, 25426, 362, 8147, 30244, 4970, 353, 14748, 421, 350, 373, 25203, 362, 10429, 365, 12571, 490, 28786, 23989, 29072, 419, 509, 358, 421, 502, 369, 18777, 350, 28997, 501, 420, 377, 363, 10524, 370, 7511, 31006, 13161, 364, 418, 488, 478, 10951, 363, 12486, 21316, 25278, 476, 14756, 493, 13213, 485, 14035, 504, 23946, 368, 7511, 9463, 495, 31271, 499, 8147, 23523, 501, 28996, 29072, 18777, 372, 14035, 504, 17958, 16043, 371, 7511, 418, 488, 499, 24662, 12486, 21928, 27962, 27730, 27064, 363, 417, 351, 481, 18809, 8147, 14395, 481, 15159, 12255, 27730, 18998, 26266, 354, 31801, 489, 25520, 26175, 495, 27730, 24662, 25426, 357, 25520, 421, 360, 502, 419, 374, 356, 13644, 378, 31801, 489, 7511, 21550, 485, 16583, 484, 10533, 503, 27730, 26266, 354, 10429, 371, 12486, 21928, 26266, 354, 4970, 504, 30903, 484, 417, 509, 509, 8147, 21316, 25278, 476, 15159, 421, 360, 502, 10533, 486, 419, 510, 498, 419, 358, 370, 18998, 19764, 478, 9463, 495, 25520, 26166, 22909, 494, 7511, 421, 355, 500, 20881, 487, 26266, 354, 10429, 371, 12486, 21316, 25278, 476, 10429, 371, 20069, 13601, 419, 367, 375, 28578, 26175, 364, 20992, 26266, 354, 10429, 371, 28997, 365, 7511, 29830, 373, 27936, 30678, 18021, 498, 17958, 31801, 489, 31365, 7511, 25335, 352, 19540, 367, 25913, 418, 350, 486, 12486, 28098, 30678, 27962, 14035, 504, 12255, 30731, 476, 17958, 16043, 371, 23521, 354, 13644, 368, 30837, 508, 27747, 372, 19404, 491, 28884, 8147, 26266, 354, 10429, 371, 28997, 365, 10429, 479, 18777, 372, 418, 480, 357, 27730, 18263, 510, 18021, 498, 17958, 4970, 497, 4970, 504, 418, 488, 478, 10951, 363, 12486, 26266, 354, 10429, 371, 28997, 365, 15159, 30731, 13127, 485, 30936, 27818, 300, 476, 24757, 10524, 370, 24724, 7511, 14756, 376, 12571, 486, 421, 505, 484, 12571, 486, 8147, 23746, 19867, 358, 31271, 499, 30731, 22614, 492, 363, 417, 351, 481, 23284, 25335, 352, 19540, 367, 29830, 373, 27936, 32352, 10254, 360, 7511, 25426, 362, 30903, 502, 12486, 23746, 17958, 26266, 354, 10429, 371, 28997, 365, 7511, 30903, 484, 417, 509, 509, 25060, 483, 418, 489, 361, 32517, 350, 9463, 371, 14035, 482, 419, 494, 484, 18998, 26406, 356, 10254, 370, 419, 367, 375, 14756, 509, 18998, 419, 354, 508, 14756, 493, 419, 377, 495, 14756, 506, 18998, 418, 357, 350, 419, 367, 488, 20881, 375, 20001, 495, 18998, 16533, 493, 21796, 351, 18998, 10524, 379, 419, 506, 509, 419, 511, 487, 12486, 692, 16829, 593, 595, 20975, 281, 21579, 7204, 7869, 267, 17276, 488, 377, 21550, 371, 419, 494, 484, 18777, 374, 267, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 267, 476, 14756, 509, 18777, 350, 28786, 26033, 481, 692, 1012, 1285, 520, 652, 12814, 27747, 362, 418, 480, 357, 20881, 504, 13213, 485, 26033, 481, 13644, 499, 692, 822, 520, 652, 12814, 7511, 12571, 482, 14748, 27730, 26175, 495, 4970, 497, 14395, 370, 26266, 366, 27747, 362, 29072, 27730, 13200, 509, 421, 350, 374, 10254, 358, 20881, 504, 13213, 485, 20001, 378, 31968, 22287, 481, 17295, 374, 26033, 481, 13644, 499, 12486, 16043, 495, 10524, 361, 32517, 507, 13644, 479, 418, 480, 357, 417, 379, 360, 20881, 509, 16583, 484, 28793, 14395, 490, 29873, 12571, 482, 28793, 421, 499, 379, 25520, 32352, 417, 508, 489, 7511, 26033, 481, 13644, 499, 8147, 25060, 483, 418, 489, 361, 514, 1362, 18998, 339, 820, 1753, 18998, 26020, 18998, 2889, 2758, 12486, 19540, 503, 19867, 489, 10533, 368, 419, 494, 484, 12571, 482, 21550, 371, 7511, 420, 369, 482, 418, 374, 494, 23521, 354, 16043, 500, 418, 490, 487, 419, 483, 356, 418, 480, 357, 27730, 21550, 350, 7511, 420, 369, 482, 13161, 503, 10533, 503, 418, 480, 357, 8147, 10254, 505, 20881, 510, 418, 357, 350, 418, 489, 509, 13644, 499, 30903, 502, 8147, 418, 493, 494, 28032, 505, 19867, 478, 20069, 7511, 25426, 362, 30903, 502, 28032, 489, 31878, 8147, 23284, 32517, 507, 13644, 479, 418, 480, 357, 21928, 419, 506, 509, 14395, 508, 26033, 481, 13644, 499, 18809, 9463, 500, 23523, 501, 7511, 20881, 504, 13213, 485, 27064, 485, 15159, 5952, 260, 23284, 31968, 12486, 417, 28187, 31563, 418, 480, 357, 20069, 22287, 367, 16533, 484, 28996, 23521, 354, 7511, 30006, 493, 417, 495, 357, 18998, 11858, 352, 26033, 481, 18998, 10951, 509, 18809, 16043, 500, 10951, 509, 10951, 360, 26033, 481, 13644, 499, 8147, 16043, 495, 10524, 361, 421, 25693, 420, 25693, 27747, 362, 20693, 358, 418, 480, 357, 5405, 479, 692, 1892, 31006, 417, 379, 360, 1321, 16533, 493, 28793, 11590, 353, 10524, 502, 692, 1892, 1220, 266, 29635, 489, 365, 13644, 511, 30006, 491, 13644, 511, 21382, 376, 27747, 486, 692, 1892, 3583, 26166, 23284, 31284, 10429, 357, 30903, 507, 20881, 478, 418, 361, 378, 692, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 418, 488, 377, 21550, 371, 419, 494, 484, 18777, 374, 28786, 26033, 481, 21579, 7204, 7869, 28786, 19540, 503, 31340, 24655, 28081, 906, 540, 19590, 692, 21902, 1738, 10386, 666, 581, 5701, 607, 590, 11965, 310, 3036, 10386, 952, 519, 11460, 540, 519, 4559, 538, 519, 2551, 568, 4351, 269, 1924, 267, 8156, 519, 5697, 9836, 3732, 1269, 338, 259, 607, 606, 590, 11965, 310, 3036, 3732, 540, 2450, 1269, 333, 8961, 519, 13065, 540, 519, 9836, 3732, 1611, 1269, 309, 3709, 338, 962, 4151, 666, 581, 6059, 607, 454, 3602, 1269, 325, 284, 333, 1315, 715, 259, 543, 1269, 338, 29192, 24472, 317, 273, 7807, 8999, 3709, 328, 1422, 514, 521, 4153, 3847, 26635, 10983, 10559, 8663, 3189, 24472, 12917, 338, 9385, 2431, 11892, 273, 1315, 263, 333, 268, 272, 7751, 563, 763, 3934, 1807, 4399, 4204, 1002, 28452, 20731, 272, 259, 15824, 1134, 952, 519, 11460, 540, 519, 4559, 568, 4351, 267, 1775, 4318, 1421, 952, 1100, 7678, 610, 13350, 640, 538, 519, 12417, 540, 519, 4559, 26251, 269, 1717, 267, 952, 519, 11460, 540, 519, 4559, 568, 971, 602, 519, 9836, 10386, 568, 811, 3608, 982, 590, 11965, 310, 3036, 10386, 267, 1287, 4399, 4204, 1002, 28452, 20731, 272, 259, 6157, 21467, 560, 23660, 519, 13065, 269, 2201, 519, 824, 1688, 267, 4399, 4204, 1002, 28452, 20731, 272, 259, 19765, 23660, 519, 13065, 952, 538, 4641, 9836, 10386, 568, 1447, 3608, 982, 590, 11965, 310, 3036, 780, 1805, 7806, 1881, 6341, 7204, 2060, 2290, 5149, 3131, 5899, 23628, 692, 21902, 1738, 10386, 14404, 5809, 519, 2551, 883, 1269, 330, 259, 31324, 1142, 540, 2450, 1269, 333, 10608, 2913, 1269, 333, 259, 581, 1256, 543, 3160, 547, 1269, 273, 7117, 10608, 3767, 2015, 519, 4559, 18159, 337, 267, 678, 266, 330, 7751, 607, 513, 14404, 1881, 3732, 540, 2450, 476, 273, 5697, 676, 519, 590, 11965, 310, 3036, 1505, 689, 513, 14404, 636, 16030, 519, 1101, 1269, 273, 737, 259, 4559, 642, 714, 269, 1269, 272, 267, 1422, 24126, 267, 476, 273, 737, 6902, 263, 337, 266, 273, 737, 267, 678, 266, 274, 737, 7751, 607, 513, 14404, 1881, 3732, 540, 2450, 476, 273, 689, 513, 14404, 636, 16030, 519, 1985, 1269, 273, 737, 259, 642, 714, 269, 1269, 273, 737, 266, 272, 267, 1422, 24126, 267, 476, 275, 737, 259, 282, 538, 2489, 267, 4559, 20270, 337, 266, 273, 27203, 268, 272, 264, 737, 267, 678, 23444, 273, 795, 268, 272, 264, 737, 4151, 607, 513, 14404, 1881, 3732, 540, 2450, 476, 273, 689, 519, 1269, 329, 259, 555, 14404, 636, 16030, 4559, 1269, 273, 27203, 268, 272, 264, 737, 266, 272, 267, 1422, 24126, 267, 476, 273, 795, 737, 6902, 795, 284, 272, 267, 1422, 24126, 267, 7117, 10608, 1323, 16977, 7447, 540, 1269, 309, 3709, 338, 962, 4151, 568, 5833, 607, 454, 11377, 4204, 1002, 28452, 348, 273, 7807, 2765, 18950, 272, 1922, 20972, 333, 317, 273, 348, 1422, 8999, 346, 329, 284, 272, 8703, 333, 1315, 476, 273, 348, 1422, 23169, 19553, 317, 273, 16465, 3602, 4399, 23169, 19553, 284, 344, 3709, 337, 23444, 273, 795, 268, 272, 264, 737, 18511, 344, 3709, 337, 266, 273, 27203, 268, 272, 264, 737, 31859, 1012, 476, 14756, 509, 18777, 350, 28786 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14273, 454, 290, 264, 2504, 4058, 454, 291, 264, 6908, 23164, 519, 2504, 1184, 454, 7617, 540, 519, 1739, 1655, 6257, 1434, 23332, 5773, 888, 288, 264, 1358, 2333, 7607, 563, 289, 264, 1358, 11179, 6166, 519, 4398, 540, 519, 3135, 4087, 563, 290, 264, 1358, 2569, 4420, 6352, 1815, 802, 563, 291, 264, 1358, 2327, 519, 8244, 540, 2877, 2326, 538, 513, 12905, 6752, 563, 7617, 540, 519, 1739, 568, 513, 3730, 1907, 585, 23332, 267, 1141, 2504, 9946, 834, 14090, 257, 519, 2095, 689, 14273, 998, 519, 12051, 547, 5561, 888, 288, 264, 1871, 3613, 3195, 11837, 454, 289, 264, 8905, 14839, 454, 290, 264, 2504, 5750, 532, 454, 291, 264, 4420, 331, 2940, 1188, 8446, 0, 7617, 540, 519, 11374, 3004, 1080, 31692, 8460, 13229, 24285, 689, 4033, 454, 7617, 540, 519, 1739, 7592, 30193, 2500, 3401, 689, 824, 1004, 888, 291, 264, 16710, 7146, 20820, 10182, 454, 2026, 513, 5718, 16023, 267, 1345, 21873, 568, 1034, 2693, 547, 912, 288, 264, 948, 513, 6205, 2057, 22303, 563, 289, 264, 32561, 513, 6205, 781, 7145, 563, 290, 264, 1128, 650, 19969, 543, 17258, 538, 513, 6205, 563, 291, 264, 1450, 513, 6205, 547, 7753, 9465, 563, 292, 264, 5512, 3401, 547, 581, 811, 25644, 30062, 563, 19931, 3401, 723, 1044, 3254, 547, 4865, 513, 1164, 1377, 540, 6791, 827, 741, 6080, 267, 1260, 3966, 625, 25467, 4143, 2930, 6927, 20136, 16023, 568, 5219, 547, 607, 12223, 563, 288, 264, 1702, 540, 519, 1870, 454, 289, 264, 2789, 4987, 454, 290, 264, 4274, 5718, 454, 291, 264, 16048, 6392, 454, 292, 264, 1201, 5166, 1379, 454, 27702, 1935, 568, 513, 5718, 5133, 602, 8942, 547, 2697, 1018, 2500, 3401, 798, 543, 3947, 1447, 2956, 547, 7209, 4162, 269, 0, 1103, 513, 5530, 2334, 22702, 3828, 1231, 547, 1133, 22366, 623, 4202, 540, 4841, 454, 1103, 513, 1353, 602, 3379, 21054, 547, 20775, 8424, 540, 1053, 267, 945, 941, 519, 1482, 2085, 543, 3023, 267, 519, 20775, 8424, 540, 1053, 941, 454, 288, 264, 531, 2865, 607, 7567, 607, 519, 21054, 563, 289, 264, 332, 1276, 1447, 7567, 982, 519, 21054, 563, 290, 264, 3467, 7567, 982, 519, 21054, 563, 291, 264, 3467, 12592, 547, 1265, 10486, 982, 519, 21054, 941, 563, 1103, 513, 1353, 602, 3379, 21054, 547, 20775, 8424, 540, 1053, 267, 945, 941, 519, 1482, 2085, 543, 3023, 267, 519, 20775, 8424, 540, 1053, 941, 3592, 607, 7567, 607, 519, 21054, 269, 4322, 20775, 8424, 1185, 2147, 2797, 4978, 267, 7574, 4690, 267, 3909, 7375, 267, 2816, 12583, 267, 12348, 267, 543, 5172, 3536, 269, 4322, 20775, 1053, 941, 865, 2147, 1317, 454, 288, 264, 1492, 1053, 538, 519, 1353, 2965, 941, 2147, 538, 741, 4719, 1118, 5346, 563, 289, 264, 16269, 941, 5697, 998, 5773, 602, 941, 21678, 538, 3870, 540, 519, 1647, 1362, 563, 290, 264, 15161, 540, 519, 1482, 2085, 543, 3023, 2661, 538, 519, 1482, 3140, 2053, 543, 2824, 689, 2147, 6848, 3681, 563, 291, 264, 1492, 8424, 540, 21054, 941, 865, 4744, 25630, 602, 519, 20775, 8424, 540, 1053, 7902, 1360, 2147, 547, 1142, 824, 538, 6476, 563, 10303, 1004, 540, 519, 1482, 2085, 543, 3023, 2661, 538, 519, 1482, 3140, 2053, 543, 2824, 689, 2147, 6848, 3681, 2676, 288, 264, 684, 22366, 8424, 540, 1053, 540, 519, 1482, 2085, 543, 3023, 786, 2408, 1360, 4744, 25630, 593, 1034, 7592, 563, 289, 264, 9767, 786, 1265, 1896, 1453, 609, 519, 1482, 1101, 2012, 538, 5176, 1169, 10026, 4928, 563, 290, 264, 18244, 538, 2221, 781, 10026, 13460, 616, 3648, 811, 3309, 982, 519, 1453, 538, 519, 10026, 3506, 540, 476, 2004, 1296, 3516, 563, 291, 264, 13512, 1231, 556, 1563, 6306, 786, 2141, 581, 3648, 811, 2147, 982, 20775, 8424, 540, 1053, 563, 763, 834, 600, 5074, 10486, 257, 540, 9838, 21054, 949, 581, 513, 1267, 540, 454, 288, 264, 1492, 2887, 2329, 540, 2318, 8320, 563, 289, 264, 23437, 756, 4733, 13587, 527, 676, 519, 21054, 563, 290, 264, 23437, 756, 4733, 13587, 527, 676, 519, 3173, 563, 291, 264, 1492, 4446, 11133, 1198, 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 ]
[ 0, 5228, 28184, 5793, 1104, 27661, 5228, 7510, 32353, 1104, 13334, 19638, 3698, 9041, 30720, 10031, 825, 1219, 8281, 10031, 1038, 2119, 912, 2018, 29250, 815, 13334, 19304, 10857, 1074, 10947, 3890, 4917, 2018, 3381, 815, 29250, 269, 6894, 338, 8807, 1009, 4590, 2018, 3381, 6155, 5877, 4590, 2018, 22443, 20172, 267, 1257, 8782, 12606, 539, 3299, 535, 326, 8782, 13582, 3299, 13944, 8782, 25106, 476, 736, 12050, 262, 1040, 2897, 3287, 284, 8182, 267, 586, 284, 9610, 994, 1038, 4849, 912, 2018, 1820, 3488, 3299, 754, 284, 5257, 2020, 825, 3597, 815, 570, 330, 4590, 825, 3597, 269, 613, 5852, 3488, 4335, 343, 1220, 5073, 825, 3597, 269, 637, 14184, 263, 271, 267, 476, 271, 994, 825, 3597, 26644, 3488, 2791, 12564, 8281, 518, 642, 269, 271, 269, 272, 17210, 825, 22443, 20172, 267, 1257, 8782, 2791, 12564, 3381, 4647, 518, 3299, 13944, 8782, 25106, 476, 736, 12050, 262, 1040, 17569, 4590, 825, 3095, 815, 21642, 309, 541, 4590, 825, 22443, 20172, 267, 1257, 8782, 303, 4292, 1257, 1934, 281, 22207, 13944, 8782, 25106, 476, 1428, 12050, 262, 1040, 17569, 4590, 825, 3095, 318, 10938, 815, 28678, 20172, 267, 8700, 284, 3583, 267, 1257, 19702, 762, 284, 15062, 1040, 17569, 10797, 825, 29502, 20172, 267, 1257, 8782, 12606, 3299, 13944, 8782, 25106, 476, 1428, 12050, 3299, 536, 326, 8782, 13582, 3299, 14950, 343, 284, 277, 267, 4971, 284, 12606, 1040, 2897, 3287, 284, 5197, 267, 586, 284, 1911, 994, 825, 3597, 6230, 664, 31467, 30800, 318, 30720, 4590, 0, 427, 375, 379, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 11133, 1499, 815, 29129, 3698, 1599, 4407, 6600, 1400, 267, 1651, 337, 2187, 825, 585, 1775, 538, 2039, 263, 271, 267, 3803, 267, 1651, 337, 2187, 1038, 1820, 834, 4263, 519, 1283, 1775, 568, 4939, 323, 257, 4939, 1775, 454, 1038, 2338, 6910, 9217, 2020, 1038, 1775, 6834, 1651, 337, 454, 1038, 1820, 834, 301, 13246, 1631, 281, 14307, 2338, 8931, 1038, 1820, 834, 4263, 519, 5377, 1775, 568, 4939, 323, 257, 4939, 1775, 692, 10818, 4407, 263, 277, 267, 476, 273, 994, 2745, 834, 763, 2338, 281, 4840, 1721, 1003, 538, 2338, 912, 825, 1820, 1003, 0, 26611, 23591, 24800, 19841, 341, 9226, 3097, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 3097, 258, 7711, 11742, 2433, 476, 1001, 280, 270, 279, 270, 2537, 476, 280, 281, 2412, 7537, 3097, 258, 7711, 12041, 2433, 962, 1075, 1156, 3097, 258, 7711, 17572, 2433, 17130, 275, 32707, 8553, 318, 13233, 318, 14503, 698, 318, 19370, 18258, 3097, 258, 7711, 25413, 2264, 281, 12877, 2419, 1301, 7531, 12163, 11693, 606, 3403, 5044, 9967, 593, 1152, 476, 271, 267, 476, 272, 267, 543, 476, 273, 267, 4990, 519, 5044, 538, 513, 2582, 21986, 531, 563, 2791, 2811, 711, 4847, 547, 946, 1022, 18570, 1599, 602, 5124, 2488, 780, 9616, 281, 744, 3799, 264, 1281, 711, 8209, 1611, 2582, 13652, 951, 531, 563, 324, 3052, 269, 952, 596, 29906, 519, 5044, 7466, 267, 602, 1131, 1869, 581, 606, 744, 3799, 264, 3070, 855, 621, 786, 711, 1293, 607, 2582, 21986, 531, 563, 20701, 454, 258, 4528, 476, 272, 267, 1942, 811, 18682, 576, 6988, 454, 3698, 4990, 318, 23713, 24449, 272, 9272, 8217, 2187, 825, 8173, 825, 9717, 606, 3403, 5044, 9967, 593, 1152, 476, 271, 267, 476, 272, 267, 543, 476, 273, 267, 4990, 519, 5044, 538, 513, 2582, 21986, 531, 780, 825, 1488, 7714, 912, 11434, 3403, 8217, 17338, 2567, 5903, 547, 581, 15044, 454, 825, 8173, 825, 1592, 272, 267, 1592, 273, 267, 1592, 274, 815, 1592, 19572, 1592, 19572, 1592, 4590, 825, 585, 1775, 538, 3403, 8217, 912, 1038, 952, 1775, 2652, 476, 271, 912, 2018, 1592, 272, 6910, 9217, 994, 1038, 8640, 1775, 2652, 476, 272, 912, 2018, 1592, 273, 6910, 9217, 994, 1038, 8640, 1775, 2652, 476, 273, 912, 2018, 1592, 274, 6910, 9217, 2020, 825, 2132, 1592, 272, 1341, 1592, 273, 1341, 1592, 274, 7531, 258, 4528, 476, 273, 2073, 321, 21392, 3070, 454, 3698, 4990, 318, 23713, 9272, 8217, 2187, 825, 8173, 825, 634, 2856, 568, 547, 2322, 476, 271, 543, 476, 273, 538, 741, 2953, 7158, 267, 799, 786, 1118, 2386, 454, 825, 782, 519, 476, 272, 338, 616, 8850, 5116, 538, 741, 1318, 7158, 454, 825, 8173, 825, 1948, 3355, 1125, 31452, 585, 1985, 7158, 540, 476, 271, 543, 476, 273, 454, 825, 1985, 29223, 318, 271, 815, 476, 271, 454, 825, 1985, 29223, 318, 273, 815, 7003, 9272, 8217, 264, 910, 476, 272, 692, 825, 4395, 16229, 815, 476, 271, 692, 825, 1247, 4395, 16229, 10922, 1985, 29223, 318, 273, 912, 1038, 952, 3403, 8217, 314, 12506, 16229, 316, 2652, 476, 271, 912, 2018, 3403, 8217, 314, 12506, 16229, 316, 815, 3403, 8217, 314, 10113, 29223, 318, 271, 2639, 2018, 3403, 8217, 314, 10113, 29223, 318, 271, 316, 815, 476, 271, 454, 2018, 1985, 29223, 318, 271, 6834, 476, 272, 454, 2018, 4395, 16229, 6834, 476, 272, 454, 1038, 8640, 3403, 8217, 314, 12506, 16229, 316, 2652, 476, 273, 912, 2018, 3403, 8217, 314, 12506, 16229, 316, 815, 3403, 8217, 314, 10113, 29223, 318, 273, 2639, 2018, 3403, 8217, 314, 10113, 29223, 318, 273, 316, 815, 476, 273, 454, 2018, 1985, 29223, 318, 273, 20699, 476, 272, 454, 1038, 3116, 912, 2018, 4395, 16229, 6834, 476, 272, 454, 825, 2132, 3403, 8217, 7531, 3698, 1449, 6958, 4233, 6025, 652, 6831, 848, 2187, 825, 15044, 24512, 815, 4990, 318, 23713, 24449, 272, 6025, 652, 6831, 848, 994, 825, 1820, 4433, 9285, 24512, 994, 825, 952, 15044, 24512, 2652, 15044, 6025, 652, 6831, 848, 2187, 1038, 1820, 2891, 27879, 5602, 825, 3116, 912, 1038, 1820, 2891, 293, 841, 257, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 4530, 272, 2073, 6316, 2013, 281, 8900, 3403, 1592, 267, 1058, 2132, 11713, 825, 1449, 6958, 4233, 8443, 20285, 825, 1948, 4530, 273, 2073, 6316, 2013, 281, 1152, 814, 1079, 540, 519, 4397, 2609, 454, 825, 1449, 6958, 4233, 8443, 271, 267, 476, 271, 267, 476, 273, 267, 476, 273, 267, 476, 273, 20285, 825, 1948, 4530, 274, 2073, 2489, 1449, 454, 825, 1449, 6958, 4233, 8443, 271, 267, 476, 271, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 273, 7481, 825, 1449, 6958, 4233, 8443, 273, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 272, 7481, 825, 1449, 6958, 4233, 8443, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 273, 7481, 0, 5814, 20956, 273, 1477, 5814, 11885, 607, 5286, 5897, 258, 299, 1933, 3312, 3239, 1477, 13092, 815, 20956, 273, 269, 574, 1348, 3488, 322, 318, 273, 27970, 20298, 29764, 273, 269, 574, 19651, 3488, 13092, 318, 13548, 3299, 13092, 10142, 258, 935, 3200, 3239, 547, 1178, 903, 7051, 1477, 326, 2001, 815, 20956, 273, 6983, 26404, 21760, 263, 13092, 267, 20956, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 3418, 29764, 273, 269, 574, 19651, 3488, 6588, 903, 7051, 3239, 3299, 326, 2001, 3418, 29764, 273, 269, 574, 31095, 2891, 6588, 903, 7051, 318, 13548, 27970, 2580, 326, 2001, 10142, 258, 14725, 666, 5500, 6316, 7020, 1477, 539, 2471, 815, 20956, 273, 5861, 15967, 14116, 2001, 267, 1789, 267, 3445, 3418, 29764, 273, 269, 574, 19651, 2891, 10955, 2471, 2580, 8728, 3418, 29764, 273, 269, 574, 31095, 2891, 539, 2471, 27970, 2580, 539, 2471, 10142, 258, 22772, 32725, 543, 2721, 32725, 1477, 574, 273, 267, 32725, 267, 15796, 284, 20956, 273, 26098, 6944, 2293, 263, 539, 2471, 22698, 341, 273, 269, 3918, 15045, 318, 307, 12767, 22698, 341, 273, 5861, 11190, 2562, 318, 4338, 24165, 311, 318, 10485, 6573, 4041, 3418, 29764, 273, 6155, 3863, 6944, 2293, 263, 13092, 267, 4186, 2293, 16427, 272, 267, 263, 271, 267, 14838, 267, 271, 1070, 273, 3418, 29764, 273, 269, 574, 19651, 3488, 4186, 712, 3299, 13092, 3418, 29764, 273, 269, 574, 31095, 2891, 4186, 712, 27970, 2580, 13092, 10142, 258, 9526, 513, 3808, 532, 13551, 1472, 519, 1843, 1477, 322, 660, 815, 32725, 314, 271, 15947, 343, 11971, 267, 342, 267, 327, 815, 20956, 273, 12500, 15929, 305, 624, 6262, 660, 3418, 19112, 815, 20956, 273, 269, 5550, 4120, 263, 13092, 267, 263, 343, 11971, 32140, 343, 266, 342, 11971, 266, 327, 32140, 271, 267, 271, 267, 14838, 1070, 274, 3418, 29764, 273, 269, 574, 19651, 3488, 321, 15929, 305, 624, 3299, 13092, 3418, 29764, 273, 269, 574, 31095, 2891, 321, 15929, 305, 624, 27970, 2580, 13092, 10142, 29764, 273, 9884, 7159, 7659, 263, 271, 3418, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 14052, 0, 1029, 10461, 1029, 815, 1412, 329, 916, 2692, 262, 1477, 5814, 11885, 607, 5286, 5897, 5228, 4351, 1104, 28219, 842, 5897, 258, 3367, 909, 593, 1230, 3118, 262, 10794, 540, 5020, 693, 1477, 258, 567, 4179, 2517, 523, 25769, 3820, 28293, 270, 3519, 3118, 260, 2767, 338, 318, 29228, 15058, 318, 16908, 1477, 258, 9978, 3652, 6769, 258, 567, 476, 272, 264, 589, 1591, 568, 838, 1177, 2740, 952, 621, 729, 4666, 855, 814, 476, 274, 2661, 12543, 1477, 258, 567, 476, 273, 264, 589, 2661, 1591, 10523, 952, 621, 814, 7864, 982, 1079, 2661, 12543, 1477, 258, 567, 476, 274, 264, 589, 2661, 1591, 2729, 547, 519, 1985, 5108, 952, 621, 814, 1079, 610, 1477, 258, 11434, 1614, 2661, 12543, 1477, 258, 567, 476, 275, 264, 589, 2661, 1591, 10523, 952, 621, 814, 811, 982, 1614, 2661, 12543, 24653, 5035, 10794, 24998, 8029, 825, 5727, 1477, 825, 1323, 1843, 799, 6585, 519, 3014, 1533, 543, 814, 930, 2409, 585, 22392, 1477, 825, 621, 269, 901, 2882, 5329, 3950, 540, 2661, 2281, 593, 519, 4604, 267, 838, 27681, 1007, 1477, 825, 2281, 267, 6146, 4666, 2281, 267, 543, 12055, 908, 519, 3014, 23228, 825, 5727, 1477, 825, 1219, 6449, 8181, 9191, 1345, 267, 2450, 267, 1449, 25716, 8029, 1038, 5727, 1477, 1038, 19461, 1125, 519, 3014, 676, 2870, 513, 10145, 4604, 609, 1100, 2661, 2281, 23228, 1038, 2433, 12407, 2450, 281, 634, 2450, 540, 519, 4604, 267, 799, 568, 513, 4009, 1477, 1038, 2433, 8873, 281, 7183, 1477, 1038, 5727, 1477, 1038, 1582, 25915, 815, 2450, 1477, 1038, 1582, 269, 4580, 815, 5286, 25910, 9230, 21653, 267, 2450, 1070, 546, 6943, 284, 12639, 269, 842, 3418, 1038, 1582, 7456, 633, 15575, 815, 476, 271, 1477, 1038, 1582, 26716, 6548, 290, 20635, 815, 1496, 15947, 1038, 1582, 269, 3438, 19617, 815, 476, 271, 1477, 1038, 952, 1449, 6769, 2018, 585, 1535, 538, 2039, 4433, 1125, 8029, 3546, 585, 586, 538, 2039, 4433, 1125, 8029, 7386, 1591, 11749, 815, 28219, 842, 263, 271, 267, 272, 3418, 7386, 1582, 269, 4580, 314, 344, 267, 1535, 316, 815, 1591, 11749, 1477, 7386, 1582, 7456, 633, 15575, 6834, 1591, 11749, 1477, 7386, 952, 1591, 11749, 2652, 476, 272, 281, 1582, 26716, 6548, 290, 20635, 6910, 9230, 343, 267, 586, 264, 10142, 825, 1219, 1007, 14682, 877, 4311, 8029, 1038, 5727, 1477, 1038, 1763, 564, 519, 3014, 676, 4642, 532, 856, 519, 4604, 543, 2661, 1591, 4831, 23228, 1038, 2433, 8873, 281, 7183, 1477, 1038, 5727, 1477, 1038, 1582, 269, 4580, 815, 5286, 25910, 9230, 1345, 25915, 267, 1582, 25915, 17903, 1038, 1582, 7456, 633, 15575, 815, 476, 271, 1477, 1038, 1582, 269, 3438, 19617, 815, 476, 271, 5897, 825, 1219, 9041, 13765, 318, 1721, 318, 5158, 4311, 267, 1064, 311, 267, 1064, 312, 8029, 1038, 5727, 1477, 1038, 5681, 519, 15231, 2281, 547, 1205, 513, 1293, 540, 875, 1082, 2661, 12543, 1477, 1038, 519, 3077, 1591, 814, 269, 1287, 4019, 519, 3652, 540, 519, 3014, 267, 13059, 513, 835, 1477, 1038, 952, 519, 1591, 1058, 581, 9800, 543, 513, 4642, 952, 711, 269, 898, 849, 7024 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4002, 10732, 267, 20029, 269, 476, 1240, 267, 476, 1001, 272, 267, 808, 877, 344, 14339, 655, 5674, 518, 3576, 1010, 1378, 1272, 693, 519, 2085, 540, 476, 1691, 269, 2423, 17067, 713, 1032, 646, 1185, 15548, 538, 519, 834, 2005, 717, 1115, 14568, 257, 5741, 267, 855, 1175, 513, 3018, 1354, 519, 11980, 267, 646, 5206, 267, 834, 296, 2141, 2161, 875, 13032, 1221, 594, 993, 267, 855, 1100, 835, 1592, 839, 269, 3267, 1548, 798, 594, 723, 547, 798, 865, 1004, 786, 6432, 547, 803, 8119, 898, 4769, 1405, 1205, 1732, 585, 808, 877, 344, 267, 543, 646, 781, 711, 4805, 269, 2755, 519, 1445, 540, 1082, 4550, 1532, 592, 2391, 11044, 814, 1044, 547, 7668, 11806, 6107, 543, 1711, 2146, 1472, 873, 267, 594, 1589, 621, 781, 942, 585, 782, 4892, 547, 1118, 621, 1732, 563, 1103, 1250, 2038, 12322, 267, 1454, 1354, 594, 2968, 6899, 609, 1250, 4008, 543, 4638, 3961, 267, 594, 1336, 8885, 1373, 13032, 1221, 269, 5221, 594, 729, 1762, 267, 11821, 543, 7925, 267, 594, 1336, 621, 1360, 2352, 547, 9718, 8885, 267, 865, 594, 917, 519, 1271, 1909, 29752, 9905, 543, 3743, 4079, 1404, 950, 6849, 1524, 13032, 625, 269, 1879, 649, 616, 18056, 540, 519, 30380, 2623, 540, 930, 1453, 4724, 1346, 2808, 1114, 267, 649, 834, 18528, 5166, 257, 4079, 1294, 621, 607, 938, 5539, 547, 4431, 609, 2069, 267, 3797, 267, 3905, 6050, 543, 17933, 269, 1809, 1018, 568, 2877, 547, 1711, 1483, 1689, 568, 1483, 2962, 593, 519, 851, 540, 938, 10636, 18400, 12504, 787, 269, 2991, 782, 267, 891, 616, 707, 1453, 945, 616, 6117, 824, 3214, 547, 11980, 269, 7316, 616, 789, 1565, 602, 621, 781, 834, 10498, 547, 13842, 22172, 769, 851, 267, 1762, 1004, 616, 1565, 602, 621, 781, 834, 10498, 547, 13842, 257, 676, 11319, 6302, 543, 3478, 2476, 609, 621, 269, 27355, 1405, 602, 1018, 1762, 1004, 798, 267, 1449, 6302, 286, 4208, 616, 789, 24193, 547, 25261, 10733, 538, 1362, 2943, 4847, 547, 25711, 741, 11806, 15032, 286, 1284, 4312, 2097, 547, 606, 1620, 602, 7296, 1058, 711, 581, 4847, 543, 723, 2016, 3610, 519, 5837, 6392, 547, 3247, 621, 282, 649, 4312, 1500, 621, 10363, 547, 6133, 13189, 547, 1295, 832, 1317, 649, 5431, 602, 621, 781, 5739, 547, 741, 1072, 269, 1809, 519, 1297, 540, 7972, 689, 11806, 11648, 568, 20387, 269, 1879, 786, 519, 7972, 540, 891, 1453, 581, 6444, 607, 606, 16122, 547, 1118, 1689, 1631, 888, 29261, 543, 7855, 616, 4847, 267, 3006, 1256, 7142, 267, 547, 581, 12809, 538, 519, 3068, 540, 17847, 995, 543, 30891, 748, 2623, 593, 519, 851, 540, 741, 10997, 1317, 789, 723, 1185, 741, 1378, 3946, 13615, 676, 9777, 2209, 543, 513, 834, 332, 7394, 257, 12102, 945, 3409, 547, 2099, 834, 712, 257, 2418, 269, 1809, 3314, 267, 519, 3540, 2924, 3350, 1131, 711, 723, 1044, 5176, 607, 2500, 952, 3043, 1004, 22821, 1405, 8678, 609, 3979, 4892, 547, 1711, 519, 2556, 2242, 547, 1439, 12250, 1242, 10168, 269, 898, 1058, 711, 1152, 581, 519, 5539, 540, 519, 11806, 2146, 547, 2149, 1978, 6107, 269, 898, 568, 942, 585, 596, 547, 1796, 909, 585, 543, 581, 18177, 547, 782, 3013, 781, 1453, 4534, 711, 1152, 11806, 1453, 855, 782, 519, 1453, 945, 616, 7142, 547, 2661, 538, 513, 1158, 540, 11991, 28877, 267, 543, 849, 267, 6148, 1256, 811, 11932, 267, 519, 13032, 625, 945, 616, 1373, 4847, 547, 6861, 741, 1378, 8458, 693, 8788, 676, 12809, 2937, 676, 1056, 619, 269, 898, 568, 942, 585, 782, 4892, 547, 2097, 1927, 543, 1439, 4630, 2684, 11131, 543, 1098, 874, 11131, 1893, 267, 543, 547, 1491, 2962, 547, 2149, 519, 6689, 338, 540, 782, 540, 938, 1453, 267, 711, 1175, 930, 563, 9617, 514, 966, 643, 1014, 20607, 454, 1692, 786, 18496, 11686, 779, 1101, 476, 1911, 2395, 1764, 9358, 286, 4427, 18285, 267, 3442, 519, 2146, 602, 596, 1034, 2697, 609, 610, 1616, 547, 1451, 811, 827, 543, 649, 3580, 6494, 596, 519, 3377, 602, 6927, 1034, 2899, 513, 3018, 2429, 11686, 779, 1101, 476, 1911, 2395, 538, 5604, 269, 6258, 811, 0, 763, 4626, 3966, 328, 267, 610, 737, 9116, 1194, 5300, 267, 568, 519, 19762, 560, 1537, 25576, 15664, 6293, 609, 519, 13074, 2245, 269, 898, 814, 1044, 3964, 607, 513, 20013, 540, 519, 1623, 21620, 32316, 2094, 519, 476, 1704, 628, 2540, 269, 24641, 538, 519, 25724, 543, 18190, 1974, 835, 6292, 540, 4626, 3966, 328, 729, 519, 3044, 267, 2185, 630, 528, 1256, 811, 264, 7405, 538, 21434, 543, 2413, 1568, 616, 1455, 269, 634, 4626, 3966, 328, 568, 835, 540, 519, 4686, 7425, 534, 2684, 2158, 609, 513, 17386, 12334, 543, 922, 25122, 3340, 5393, 6213, 6217, 269, 634, 8515, 540, 2773, 4247, 2306, 621, 1898, 602, 519, 4626, 3966, 328, 851, 538, 519, 32316, 568, 5129, 676, 513, 11285, 267, 519, 968, 339, 574, 3966, 626, 6100, 1306, 10353, 547, 824, 25576, 15664, 1235, 945, 2356, 1689, 7405, 607, 2838, 676, 519, 4062, 630, 324, 3052, 1421, 18369, 14941, 267, 513, 268, 16746, 524, 2096, 321, 1023, 267, 512, 3711, 712, 710, 267, 6906, 264, 519, 4626, 3966, 626, 6212, 593, 4730, 519, 4626, 3966, 328, 851, 14311, 563, 26473, 2231, 519, 21499, 7659, 563, 7804, 4548, 543, 547, 916, 538, 741, 1585, 3029, 616, 519, 1034, 1271, 543, 25229, 21747, 540, 25576, 15664, 7405, 269, 901, 4015, 3568, 2879, 732, 27120, 267, 17552, 3712, 334, 14941, 267, 2361, 14941, 630, 528, 4557, 528, 14941, 1070, 18369, 27120, 267, 13447, 547, 916, 267, 887, 1729, 547, 916, 267, 28580, 27323, 27120, 267, 543, 512, 3711, 712, 1149, 563, 763, 524, 2096, 4472, 1920, 5161, 540, 519, 6292, 630, 1097, 3387, 1023, 513, 268, 16746, 1070, 519, 17735, 524, 2096, 4472, 543, 519, 28624, 268, 1002, 269, 634, 6292, 540, 524, 2096, 321, 1023, 543, 519, 28624, 268, 1002, 616, 32131, 676, 11495, 835, 6676, 1996, 519, 824, 267, 1247, 519, 17735, 524, 2096, 4472, 568, 13351, 609, 16853, 610, 630, 325, 3881, 264, 544, 24548, 269, 595, 2096, 321, 1023, 616, 2139, 538, 1114, 7306, 609, 5603, 4394, 540, 476, 1626, 2108, 547, 476, 2420, 2108, 267, 543, 1491, 593, 1585, 3029, 543, 3280, 4162, 267, 971, 607, 11878, 524, 2096, 321, 1023, 267, 16154, 524, 2096, 321, 1023, 267, 10943, 1662, 524, 2096, 321, 1023, 267, 3624, 524, 2096, 321, 1023, 610, 521, 11170, 548, 524, 2096, 321, 1023, 269, 4256, 10058, 267, 22815, 1424, 3280, 568, 3362, 4862, 936, 513, 2407, 6830, 1170, 24982, 25178, 532, 32316, 269, 1280, 713, 2601, 524, 2096, 321, 1023, 616, 1031, 1360, 17215, 585, 5309, 9822, 908, 8711, 610, 31126, 538, 519, 2575, 563, 4415, 21499, 27227, 3220, 4548, 267, 519, 21499, 6641, 874, 4577, 7732, 6770, 513, 8717, 540, 1995, 538, 10386, 543, 3301, 1646, 547, 519, 1148, 540, 15690, 14941, 2719, 269, 3502, 1152, 1705, 649, 2594, 2582, 16125, 1210, 1169, 10703, 22133, 14941, 4480, 543, 13994, 1637, 267, 649, 4076, 849, 9676, 519, 521, 4577, 3099, 7915, 538, 1142, 6293, 676, 18644, 621, 538, 2789, 4025, 269, 21763, 547, 1404, 689, 519, 4099, 540, 519, 2212, 547, 519, 26079, 540, 519, 7387, 286, 3807, 1847, 519, 25244, 8868, 543, 519, 3099, 543, 2661, 17349, 540, 707, 2773, 3587, 10265, 1673, 549, 6137, 269, 7981, 3007, 729, 2016, 547, 519, 11878, 524, 2096, 4472, 267, 3743, 585, 519, 8984, 10116, 4063, 13942, 540, 1082, 27227, 26107, 269, 7843, 17763, 267, 4730, 7997, 267, 6991, 267, 607, 1134, 607, 519, 1297, 540, 2053, 519, 524, 2096, 4472, 568, 5734, 538, 519, 2796, 540, 519, 2575, 3565, 547, 519, 3280, 540, 713, 11684, 543, 6213, 6293, 267, 17021, 606, 11613, 8076, 2773, 269, 3245, 9311, 2939, 547, 1151, 657, 267, 946, 21499, 27227, 3220, 4548, 585, 18711, 543, 32204, 9240, 7174, 267, 2462, 6512, 267, 581, 321, 641, 543, 3440, 6758, 269, 6153, 3377, 585, 21499, 19639, 618, 11550, 3755, 281, 634, 1007, 21499, 27227, 3220, 4548, 2882, 513, 1305, 540, 14941, 17787, 585, 519, 4835, 16790, 7591, 3724, 543, 23694, 3524, 27247, 630, 4338, 303, 264, 540, 21499, 29698, 11550, 269, 5213, 1406, 4413, 519, 11473, 20861, 602, 2337, 596, 547, 1376, 9240, 8221, 693, 519, 5905, 540, 513, 29327, 760, 2336, 26473, 2231, 519, 21499, 7659, 563, 2026, 513, 968, 7659, 4580, 3794, 1442, 839, 335, 1408, 892, 519, 13767, 652, 320, 814, 513, 2039, 540, 476, 276, 12354, 2314, 609, 606, 4277, 12242, 1915, 269, 634, 1259, 922, 3280, 568, 3812, 2306, 621, 513, 25576, 15664, 6293, 267, 855, 621, 568, 2356, 5129, 676, 513, 32058, 626, 267, 711, 513, 25576, 15664, 626, 269, 634, 3280, 540, 519, 13767, 652, 320, 568, 2571, 543, 968, 515, 13273, 569, 2108, 630, 514, 3943, 281, 968, 322, 2946, 23057, 324, 26158, 589, 4583, 13767, 652, 320, 851, 666, 581, 4862, 538, 519, 25326, 28755, 14982, 2672, 924, 540, 12877, 582, 337, 594, 569, 747, 570, 15939, 1731, 990, 20391, 1107, 19933, 540, 519, 17491, 680, 636, 674, 8543, 563, 763, 4436, 2012, 3794, 1442, 839, 335, 1408, 1797, 968, 10428, 1404, 892, 543, 4016, 547, 519, 3280, 540, 1507, 30518, 269, 2311, 519, 1439, 540, 519, 476, 1704, 628, 2540, 267, 519, 1507, 30518, 941, 8719, 676, 5374, 13063, 609, 513, 1883, 2039, 540, 827, 1614, 12354, 2314, 269, 634, 3280, 540, 519, 1350, 1442, 839, 335, 1408, 568, 1360, 1164, 543, 22815, 1424, 543, 666, 581, 5693, 4862, 1256, 998, 513, 2407, 32316, 4730, 538, 968, 339, 583, 16210, 6100, 634, 1350, 1442, 839, 335, 1408, 568, 1360, 2442, 543, 4749, 1031, 538, 23836, 21567, 10178, 325, 4100, 630, 324, 3052, 1421, 676, 21917, 3627, 13879, 1916, 763, 966, 756, 1429, 821, 568, 519, 1034, 2964, 1227, 1950, 543, 10427, 540, 782, 4731, 2280, 7405, 609, 513, 1883, 2039, 540, 476, 274, 476, 16006, 12354, 2314, 269, 4706, 8546, 6949, 2209, 543, 519, 28253, 3167, 5179, 1267, 538, 513, 968, 341, 2320, 908, 892, 630, 322, 637, 322, 2056, 543, 1232, 637, 322, 2056, 264, 2571, 4496, 3280, 602, 3217, 922, 6667, 689, 519, 1480, 5639, 269, 634, 642, 756, 1429, 821, 568, 711, 1152, 6109, 5172, 538, 15690, 855, 849, 538, 4207, 2575, 267, 1312, 607, 513, 23191, 543, 5283, 21288, 6293, 563, 763, 2473, 2643, 25869, 5161, 540, 11308, 13063, 540, 1585, 13080, 602, 616, 11231, 2687, 547, 741, 12334, 538, 10253, 267, 1360, 2147, 547, 519, 10569, 540, 513, 14440, 269, 3958, 267, 519, 2413, 32316, 1535, 2643, 25869, 814, 6949, 1807, 13740, 585, 1142, 3046, 267, 693, 513, 2039, 540, 2185, 12354, 2314, 269, 22702, 547, 519, 2261, 12494, 7469, 821, 267, 519, 1535, 2643, 25869, 814, 513, 2362, 630, 663, 7522, 518, 264, 2039, 543, 922, 13063, 616, 1500, 540, 513, 9875, 3574, 267, 4611, 538, 513, 17321, 543, 811, 11579, 7992, 4626, 3691, 269, 769, 19762, 560, 1537, 12417, 267, 519, 1535, 2643, 25869, 4122, 11363, 1978, 2694, 540, 513, 5283, 21288, 1899, 538, 585, 974, 610, 6830, 1170, 24982, 563, 763, 2261, 12494, 7469, 821, 630, 528, 1175, 968, 3405, 574, 9346, 14615, 5161, 540, 11308, 13063, 540, 1585, 13080, 799, 616, 11231, 2687, 547, 741, 12334, 538, 10253, 267, 1360, 13974, 547, 519, 10569, 540, 513, 14440, 269, 22702, 547, 519, 1535, 2643, 25869, 267, 519, 2261, 12494, 7469, 821, 568, 3677, 609, 513, 1883, 2039, 540, 2947, 12354, 2314, 630, 5228, 18369, 547, 620, 1729, 1070, 543, 922, 3574, 13063, 616, 25182, 543, 29779, 267, 4611, 538, 513, 3636, 543, 24886, 3280, 269, 4595, 519, 476, 4198, 271, 338, 621, 814, 1831, 513, 3044, 6293, 538, 4207, 2575, 563, 307, 600, 339, 4461, 1299, 717, 29330, 2934, 2185, 23111, 339, 4461, 540, 1114, 7306, 630, 2568, 267, 476, 1911, 267, 543, 476, 9873, 4699, 8006, 1040, 1284, 4076, 6592, 711, 1152, 2582, 16125, 538, 1585, 29702, 267, 855, 849, 12152, 565, 657, 543, 29565, 2583, 1107, 891, 4992, 723, 1831, 1360, 2442, 538, 4670, 18176, 543, 3280, 1374, 269, 9521, 519, 23984, 339, 4461, 267, 519, 575, 29330, 723, 513, 17386, 12334, 543, 513, 5679, 984, 538, 519, 4099, 269, 1411, 3580, 1265, 575, 29330, 5129, 609, 1114, 544, 24548, 630, 7809, 267, 3574, 267, 4496, 264, 543, 513, 6367, 267, 1519, 20061, 543, 524, 637, 25728, 334, 966, 5357, 9331, 292, 28132, 19006, 269, 1306, 513, 3791, 7121, 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 ]
[ 279, 1040, 4595, 476, 1001, 275, 267, 713, 2551, 814, 11124, 606, 3665, 7771, 538, 10285, 3977, 267, 519, 2014, 540, 799, 3788, 15458, 630, 293, 541, 638, 327, 1513, 517, 1696, 620, 1421, 476, 1001, 279, 1040, 2334, 568, 267, 1063, 476, 1220, 275, 543, 476, 1220, 280, 267, 519, 8167, 540, 8951, 9960, 693, 26741, 333, 2180, 729, 1063, 476, 2568, 543, 476, 3199, 9077, 2705, 1063, 476, 1001, 275, 543, 476, 1001, 277, 519, 8167, 540, 8951, 9960, 729, 5111, 476, 736, 9077, 513, 476, 2412, 1700, 2568, 260, 5786, 538, 513, 2947, 4458, 1974, 630, 293, 541, 638, 327, 1513, 517, 1696, 620, 1421, 476, 1001, 279, 1040, 4014, 585, 513, 1297, 540, 23097, 5387, 23047, 1575, 10118, 513, 9756, 1063, 2916, 543, 16445, 7306, 814, 1044, 3254, 630, 293, 8718, 267, 15083, 839, 1299, 9652, 267, 476, 1220, 272, 282, 2051, 27451, 267, 22823, 1299, 17384, 267, 476, 1001, 279, 1070, 713, 1281, 711, 2408, 547, 581, 519, 6852, 9920, 540, 519, 5786, 540, 4775, 10285, 3977, 538, 31005, 1014, 1821, 2812, 693, 26741, 333, 2180, 630, 293, 541, 638, 327, 1513, 517, 1696, 620, 1421, 476, 1001, 279, 1916, 2080, 649, 6322, 547, 1449, 2436, 519, 4767, 7771, 538, 3552, 26881, 10285, 8516, 630, 14588, 32496, 16445, 2450, 282, 1821, 2812, 723, 513, 5021, 16445, 2450, 540, 2185, 533, 13224, 1762, 282, 2871, 8814, 267, 476, 3192, 271, 264, 568, 513, 1267, 540, 7213, 6819, 538, 3691, 5338, 269, 769, 3691, 5338, 4965, 4386, 950, 606, 13250, 540, 18111, 614, 1190, 12424, 633, 27586, 24506, 1367, 10636, 27340, 13920, 267, 11874, 18363, 1367, 8516, 3448, 547, 1447, 2987, 321, 1042, 2043, 610, 5095, 630, 298, 11839, 1299, 9931, 518, 267, 476, 1220, 273, 282, 7671, 5069, 1696, 620, 1421, 476, 1001, 278, 1040, 19881, 4719, 1382, 593, 513, 27604, 31005, 1014, 26881, 2551, 7000, 954, 23949, 1339, 8390, 538, 538, 3691, 5338, 267, 855, 1100, 4191, 540, 538, 3691, 5338, 4965, 630, 7883, 1961, 344, 1696, 620, 1421, 476, 1001, 278, 1040, 4014, 538, 3691, 5338, 4965, 568, 4443, 547, 1353, 538, 6417, 5054, 630, 7945, 607, 24811, 1070, 621, 949, 581, 811, 3702, 1113, 538, 519, 3552, 267, 607, 2825, 2175, 616, 811, 4049, 630, 297, 528, 517, 1299, 4858, 651, 7615, 267, 476, 1220, 274, 282, 1488, 3387, 745, 3122, 1299, 32149, 267, 476, 1220, 276, 282, 1546, 4425, 518, 1696, 620, 1421, 476, 1001, 276, 1040, 4935, 267, 2090, 540, 538, 3691, 5338, 4965, 538, 27604, 5054, 949, 30391, 519, 1764, 540, 538, 3691, 5338, 593, 8516, 538, 519, 3552, 630, 298, 2077, 27255, 267, 700, 3996, 577, 322, 651, 1299, 32129, 10458, 267, 476, 1220, 279, 282, 3619, 1961, 344, 1696, 620, 1421, 476, 1001, 278, 1040, 769, 1840, 267, 3552, 5095, 602, 1995, 538, 3691, 5338, 4965, 616, 811, 7925, 547, 14486, 630, 298, 11839, 1299, 9931, 518, 267, 476, 1220, 273, 1070, 543, 865, 9678, 5095, 949, 991, 4719, 15063, 547, 8396, 519, 2360, 540, 538, 3691, 5338, 630, 29445, 5069, 267, 476, 1001, 276, 282, 7671, 5069, 1696, 620, 1421, 476, 1001, 278, 1916, 2080, 649, 946, 1617, 559, 1371, 10636, 27340, 13920, 547, 8495, 538, 3691, 5338, 543, 538, 3691, 5338, 4965, 538, 519, 667, 10499, 291, 6954, 2551, 540, 1821, 2812, 693, 26741, 333, 2180, 269, 1284, 6322, 547, 1449, 281, 630, 272, 264, 2436, 538, 3691, 5338, 568, 9648, 538, 519, 26881, 2551, 693, 26741, 333, 2180, 267, 543, 630, 273, 264, 2436, 538, 3691, 5338, 568, 2404, 609, 519, 4767, 5786, 538, 12093, 630, 14588, 32496, 16445, 7306, 1040, 634, 2164, 540, 713, 1353, 786, 1217, 519, 5571, 2359, 540, 27929, 26881, 5095, 538, 519, 3068, 540, 667, 10499, 291, 563, 29605, 1299, 10613, 454, 25456, 4015, 543, 1024, 19685, 454, 306, 3263, 941, 6394, 676, 519, 5254, 7894, 1739, 741, 9208, 21952, 26488, 630, 5408, 25715, 476, 276, 538, 670, 17344, 1696, 620, 1421, 476, 1001, 280, 264, 543, 3838, 609, 519, 2160, 540, 17638, 585, 4719, 2079, 269, 5027, 5439, 543, 7222, 10285, 543, 15295, 1239, 941, 2139, 585, 1296, 476, 1220, 277, 267, 476, 1220, 278, 267, 476, 1220, 280, 267, 476, 1001, 275, 267, 476, 1001, 276, 543, 476, 1001, 277, 269, 3115, 8793, 3977, 585, 8951, 729, 3144, 607, 519, 6059, 1293, 540, 15556, 3812, 630, 328, 4318, 1421, 968, 331, 7867, 2450, 25257, 1739, 10787, 638, 327, 1513, 517, 1696, 620, 269, 630, 1001, 279, 1040, 21058, 1821, 2812, 616, 3908, 547, 513, 5021, 540, 476, 275, 15556, 829, 9960, 2680, 630, 10817, 8814, 267, 476, 3192, 271, 1040, 1306, 568, 3044, 2259, 585, 25643, 10285, 3977, 538, 31005, 1014, 1821, 2812, 630, 31742, 532, 918, 2465, 2917, 1696, 620, 1421, 476, 1001, 273, 282, 10787, 638, 327, 1513, 517, 1696, 620, 1421, 476, 1001, 279, 1070, 16445, 2450, 729, 6059, 676, 519, 4527, 543, 1293, 540, 533, 13224, 1762, 585, 782, 1296, 4849, 476, 1220, 280, 269, 634, 476, 1220, 280, 5464, 7552, 7018, 2663, 538, 519, 1032, 267, 865, 16445, 2450, 729, 6059, 676, 519, 4527, 543, 1293, 540, 3742, 751, 1846, 630, 785, 21899, 533, 13224, 1762, 1185, 1044, 3954, 2740, 1040, 1306, 1821, 2812, 616, 23047, 1575, 10118, 267, 533, 13224, 1762, 8936, 547, 519, 751, 520, 16172, 1310, 4332, 267, 543, 2611, 7923, 585, 5111, 476, 275, 3275, 269, 1133, 31039, 751, 1846, 1141, 1100, 533, 13224, 1762, 8936, 1310, 4332, 786, 5469, 2406, 1036, 816, 630, 295, 6856, 2006, 267, 13643, 1299, 5576, 8705, 7999, 31000, 267, 476, 1220, 279, 1040, 9324, 2740, 1821, 2812, 630, 4501, 376, 276, 1700, 1015, 3275, 2022, 4332, 264, 786, 3136, 547, 29186, 548, 5329, 519, 751, 520, 3742, 3246, 606, 16315, 540, 519, 1297, 540, 15556, 602, 1185, 2840, 339, 1117, 543, 7923, 547, 513, 751, 520, 269, 769, 2698, 267, 476, 12739, 3552, 31005, 1014, 1821, 2812, 630, 3445, 8951, 543, 476, 4281, 9038, 264, 941, 3769, 538, 713, 1353, 282, 9039, 3177, 21613, 7403, 269, 22503, 10285, 3977, 1223, 711, 581, 8947, 538, 713, 1353, 1813, 547, 519, 1930, 2470, 540, 519, 2551, 267, 1818, 7895, 580, 872, 16646, 689, 4719, 1239, 2352, 563, 19091, 689, 1274, 23707, 5439, 689, 519, 476, 1220, 277, 267, 476, 1220, 278, 543, 476, 1220, 280, 5464, 15143, 1185, 1044, 5892, 13939, 630, 295, 754, 9581, 1696, 620, 1421, 476, 1001, 278, 1070, 15029, 5439, 689, 476, 1001, 275, 267, 476, 1001, 276, 543, 476, 1001, 277, 941, 13939, 1210, 513, 4307, 565, 7302, 3271, 334, 845, 4480, 630, 306, 3711, 549, 758, 267, 674, 761, 338, 577, 1299, 2494, 9332, 529, 267, 476, 2735, 280, 264, 543, 6740, 693, 6567, 736, 11019, 290, 269, 27842, 941, 1024, 12111, 539, 609, 476, 3953, 2322, 8271, 9243, 31442, 520, 22972, 12508, 1739, 3619, 1961, 344, 1696, 620, 269, 630, 1001, 278, 264, 543, 13643, 1696, 620, 269, 630, 1220, 274, 1040, 589, 14477, 6074, 1305, 540, 476, 278, 260, 941, 556, 24932, 12111, 539, 547, 7447, 1024, 19685, 5470, 269, 1284, 7318, 585, 14275, 27586, 693, 1142, 30580, 1210, 5843, 4211, 515, 14982, 630, 309, 534, 744, 8803, 327, 719, 1696, 620, 1421, 476, 1220, 275, 1070, 14275, 27446, 12451, 829, 1032, 543, 829, 30580, 941, 7229, 1210, 519, 1505, 540, 15588, 7615, 630, 1960, 277, 264, 543, 9184, 4327, 3842, 2637, 788, 641, 630, 305, 599, 12107, 1299, 681, 748, 3553, 267, 476, 1960, 276, 282, 681, 748, 3553, 267, 476, 1220, 279, 1040, 2637, 2704, 2750, 630, 8248, 752, 718, 1299, 3911, 1787, 267, 476, 1220, 277, 282, 30078, 718, 1299, 3911, 1787, 267, 476, 1001, 273, 264, 729, 1031, 547, 5173, 4767, 630, 9816, 264, 543, 4397, 10636, 27340, 13920, 630, 4047, 264, 585, 1142, 30580, 267, 1142, 1032, 267, 543, 2932, 10434, 344, 268, 2171, 514, 6199, 3169, 4255, 563, 1103, 3691, 5338, 543, 538, 3691, 5338, 4965, 454, 1103, 4156, 1644, 1145, 630, 7644, 1070, 513, 1617, 559, 1371, 10636, 27340, 13920, 18802, 602, 568, 4397, 547, 581, 9797, 17047, 609, 1367, 538, 3691, 5338, 11664, 630, 8649, 657, 1696, 620, 1421, 476, 1220, 272, 1070, 729, 7229, 1210, 519, 1599, 717, 2894, 4047, 307, 630, 290, 9567, 517, 267, 476, 1001, 271, 264, 585, 681, 630, 305, 11759, 12243, 267, 476, 1001, 280, 1040, 16843, 16621, 27446, 12451, 267, 1317, 972, 568, 513, 2362, 4960, 602, 4686, 268, 4150, 548, 4630, 27340, 13920, 568, 519, 1267, 540, 538, 321, 1042, 20282, 267, 3448, 547, 1455, 268, 4150, 548, 4630, 27340, 13920, 630, 8649, 657, 1696, 620, 1421, 476, 1220, 272, 1040, 2353, 2139, 5439, 267, 5256, 543, 4775, 267, 941, 1031, 547, 7447, 27446, 12451, 543, 5173, 16843, 267, 547, 6922, 1047, 1764, 540, 21496, 27446, 4908, 2242, 593, 7229, 16843, 2418, 269, 21661, 938, 10471, 267, 16843, 729, 1360, 3810, 17047, 609, 824, 1455, 3800, 540, 1617, 559, 1371, 10636, 27340, 13920, 630, 7945, 607, 3044, 2213, 4767, 10636, 27340, 13920, 267, 543, 10636, 27340, 13920, 8386, 2000, 1539, 282, 782, 6207, 9756, 14170, 941, 21759, 271, 269, 11463, 1070, 865, 649, 1445, 338, 539, 938, 1292, 8579, 9382, 593, 16843, 563, 2171, 8947, 2436, 538, 3691, 5338, 729, 7213, 6819, 1851, 2043, 538, 519, 2551, 676, 4152, 585, 513, 1689, 538, 16843, 936, 942, 1210, 513, 5276, 2203, 19034, 538, 681, 609, 1032, 607, 519, 6378, 27667, 543, 16843, 607, 519, 3210, 630, 301, 815, 476, 12739, 1040, 1284, 11117, 1689, 538, 519, 2551, 7400, 540, 538, 3691, 5338, 630, 293, 3041, 1070, 7229, 1210, 519, 10189, 9246, 325, 560, 520, 630, 294, 3716, 564, 267, 476, 1220, 276, 264, 585, 681, 563, 2414, 4612, 12205, 1063, 10636, 27340, 13920, 543, 16445, 7306, 607, 538, 3691, 5338, 4965, 267, 7636, 1239, 1590, 2992, 8390, 538, 538, 3691, 5338, 2157, 1851, 2043, 267, 1775, 4318, 1421, 3961, 1669, 638, 10329, 630, 306, 345, 592, 7219, 267, 645, 1512, 928, 1299, 6424, 267, 476, 1001, 271, 1040, 901, 8390, 729, 3067, 1881, 609, 519, 575, 476, 273, 18802, 630, 21837, 1696, 620, 1421, 476, 1220, 278, 282, 590, 345, 592, 7219, 267, 645, 1512, 928, 1299, 6424, 267, 476, 1001, 271, 1070, 1210, 519, 10189, 538, 3691, 539, 305, 630, 306, 1729, 742, 601, 1696, 620, 1421, 476, 1001, 277, 264, 585, 681, 267, 609, 922, 8856, 11117, 1210, 476, 272, 267, 1822, 22757, 30408, 23200, 563, 2171, 7318, 585, 538, 3691, 5338, 4965, 676, 8159, 2436, 16843, 729, 513, 27667, 540, 4775, 12093, 1210, 5276, 9695, 269, 634, 4834, 1031, 585, 519, 9695, 941, 912, 23536, 1464, 540, 9960, 912, 3602, 16061, 271, 568, 519, 18448, 267, 16061, 272, 6629, 274, 616, 9695, 14170, 2404, 609, 519, 9138, 27667, 4632, 267, 543, 31330, 328, 568, 519, 5470, 2165, 269, 1284, 849, 13986, 547, 1039, 1032, 607, 513, 4351, 1198, 630, 324, 3052, 1421, 1739, 645, 1551, 1696, 620, 1421, 476, 1001, 274, 1070, 855, 1152, 938, 16445, 2450, 2203, 4780, 3022, 269, 8409, 2164, 941, 12007, 569, 2147, 547, 938, 1292, 4681, 267, 543, 865, 616, 4843, 538, 4675, 11915, 11778, 585, 6476, 269, 700, 7867, 2450, 729, 1110, 8215, 607, 513, 23481, 3210, 1210, 519, 524, 321, 785, 1599, 538, 519, 681, 3490, 10189, 267, 1141, 519, 1297, 540, 15556, 729, 519, 1297, 540, 23481, 968, 5271, 757, 892, 543, 519, 1297, 540, 8062, 729, 476, 275, 630, 10946, 3065, 2009, 16445, 2450, 1040, 634, 16445, 2450, 2203, 729, 19034, 7466, 281, 609, 519, 16445, 7306, 540, 782, 8951, 630, 301, 815, 476, 3445, 1070, 543, 609, 1152, 1346, 8951, 602, 4951, 2963, 540, 9960, 630, 328, 4318, 1421, 6721, 476, 272, 610, 811, 15556, 267, 715, 815, 476, 3607, 1040, 769, 3691, 5338, 4965, 568, 4397, 547, 3132, 513, 2942, 9386, 585, 16843, 630, 712, 27667, 540, 1719, 1070, 1775, 4318, 1421, 2799, 16843, 568, 2404, 609, 8519, 16445, 7306, 269, 6520, 630, 22372, 593, 5694, 5957, 7422, 267, 623, 1897, 2023, 267, 476, 1960, 271, 264, 543, 1032, 941, 849, 3769, 607, 6024, 6378, 30661, 630, 5976, 1032, 815, 476, 271, 585, 476, 1220, 277, 1040, 7844, 5542, 729, 5342, 1210, 606, 1344, 5376, 6776, 1935, 1739, 717, 4902, 828, 1696, 620, 269, 630, 1001, 272, 1070, 609, 3044, 5314, 1739, 717, 601, 2006, 630, 294, 601, 2006, 267, 476, 1220, 279, 264, 1210, 519, 10189, 6186, 630, 294, 601, 2006, 1299, 2672, 267, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2690, 936, 513, 8717, 267, 7811, 21575, 723, 10567, 602, 519, 8709, 670, 913, 13737, 640, 540, 22130, 1223, 581, 2404, 609, 1114, 16678, 11775, 540, 2339, 267, 519, 1034, 8037, 540, 799, 568, 669, 12637, 21367, 2032, 563, 288, 8709, 670, 913, 13737, 640, 568, 9247, 513, 1875, 1606, 15879, 1054, 1448, 538, 519, 5860, 540, 2829, 630, 291, 5308, 264, 540, 513, 26543, 4396, 269, 1879, 22130, 10301, 610, 568, 2673, 547, 713, 1808, 1648, 1377, 267, 513, 6366, 6512, 10953, 538, 922, 5907, 2497, 602, 666, 19582, 606, 24215, 1804, 1297, 540, 9211, 269, 901, 5012, 547, 2178, 1082, 23073, 4205, 602, 3895, 610, 5512, 519, 6228, 540, 16678, 2829, 540, 2339, 563, 3383, 2484, 267, 519, 3169, 4110, 547, 799, 519, 2139, 1648, 2157, 540, 22130, 991, 547, 581, 4904, 609, 9211, 630, 328, 4318, 1421, 834, 323, 25660, 8442, 538, 1931, 585, 1367, 11775, 547, 24644, 814, 1044, 1360, 2352, 547, 3313, 1210, 2203, 9273, 269, 17291, 610, 8888, 2553, 602, 666, 581, 1031, 547, 546, 2100, 22130, 547, 610, 3564, 519, 8709, 670, 913, 13737, 640, 1223, 6038, 1291, 547, 4277, 7422, 1644, 547, 16678, 11775, 540, 2339, 267, 799, 1223, 538, 2490, 17362, 519, 1259, 2509, 519, 1646, 540, 1007, 22130, 2861, 2029, 563, 12867, 693, 519, 7665, 23851, 4659, 585, 20348, 3557, 3194, 538, 853, 18636, 326, 691, 267, 5125, 723, 5063, 25282, 606, 1935, 547, 936, 1673, 2100, 22130, 3564, 519, 8709, 670, 913, 13737, 640, 269, 4256, 1505, 267, 4843, 538, 513, 1957, 3370, 538, 8447, 5623, 16707, 267, 10905, 1079, 1114, 2553, 267, 12077, 586, 339, 614, 321, 1756, 954, 5632, 566, 543, 11379, 23455, 1632, 269, 2414, 1224, 811, 267, 4945, 1934, 269, 0, 22068, 6625, 29743, 630, 31333, 290, 264, 568, 513, 7623, 540, 13339, 543, 3327, 609, 513, 3114, 4542, 540, 13961, 290, 269, 634, 14724, 5663, 1184, 585, 6721, 13339, 29743, 568, 547, 1071, 710, 21958, 5070, 543, 3327, 538, 606, 589, 2583, 517, 27948, 3167, 4187, 19460, 693, 513, 1164, 2837, 267, 1063, 476, 8182, 271, 9180, 630, 29720, 271, 13790, 264, 543, 6693, 22068, 6625, 29743, 23907, 609, 2370, 610, 1100, 10286, 10465, 23606, 2226, 741, 4222, 547, 1360, 1164, 5210, 267, 16042, 476, 8182, 271, 595, 609, 1100, 4222, 2530, 269, 11906, 19454, 267, 4187, 547, 3114, 4323, 693, 2837, 267, 543, 4222, 12802, 693, 1164, 5210, 814, 1500, 713, 1570, 1360, 2442, 607, 530, 29195, 26745, 7028, 543, 533, 5417, 956, 538, 19202, 7677, 2167, 563, 289, 275, 290, 268, 6200, 18664, 517, 29743, 25132, 14895, 476, 4200, 4939, 476, 4335, 16354, 267, 25132, 32535, 11426, 1436, 540, 2659, 645, 275, 290, 15089, 641, 14895, 1403, 596, 1544, 547, 1931, 1804, 9424, 540, 16907, 517, 2961, 321, 728, 20543, 585, 707, 4853, 2115, 267, 5225, 4063, 602, 29356, 540, 20543, 6724, 630, 7945, 607, 2450, 267, 3259, 267, 19454, 3092, 4700, 616, 2139, 2390, 7662, 4586, 22068, 6625, 6491, 20183, 11084, 630, 17928, 289, 264, 2561, 2993, 542, 281, 28541, 6491, 20183, 11084, 666, 581, 1031, 538, 26971, 799, 991, 26184, 2773, 4170, 281, 1164, 14588, 539, 270, 25436, 32497, 26971, 267, 1164, 8856, 26971, 267, 12511, 26971, 267, 1164, 270, 1970, 2837, 26971, 267, 1875, 2173, 24599, 26971, 267, 1164, 1790, 13440, 1707, 3440, 17684, 282, 849, 666, 581, 1031, 607, 11896, 3440, 267, 6482, 3440, 538, 3114, 6802, 2073, 14683, 27529, 6802, 267, 1558, 1359, 6802, 563, 1103, 519, 1459, 1353, 267, 9325, 2527, 543, 6991, 941, 971, 602, 519, 476, 2568, 2173, 559, 630, 272, 269, 276, 2173, 332, 264, 21247, 3382, 7902, 607, 513, 10859, 19899, 9548, 3077, 547, 519, 18363, 1788, 850, 269, 1280, 519, 631, 2643, 541, 543, 670, 1922, 559, 332, 2326, 630, 1839, 10681, 1070, 519, 476, 273, 268, 547, 476, 1691, 2173, 545, 668, 2678, 13339, 29743, 5536, 1031, 538, 454, 19770, 28541, 2961, 321, 728, 4676, 847, 800, 9755, 454, 13356, 476, 736, 267, 476, 1001, 278, 6440, 1548, 568, 28541, 2961, 321, 728, 28541, 29743, 568, 606, 22803, 7623, 2348, 519, 3114, 4542, 11483, 328, 898, 568, 7768, 540, 835, 3327, 11046, 543, 513, 13339, 11046, 829, 11140, 634, 24855, 2527, 540, 713, 7623, 568, 476, 25002, 271, 575, 8276, 565, 563, 22709, 15190, 5766, 1429, 344, 6796, 9612, 281, 9612, 3733, 10055, 3733, 654, 880, 4289, 3733, 14295, 6744, 719, 19193, 8298, 769, 5851, 1315, 16811, 1315, 14265, 322, 17156, 14265, 322, 17156, 7348, 607, 25373, 5903, 454, 23322, 2065, 19162, 601, 3623, 15969, 1331, 1896, 954, 5471, 28351, 7135, 540, 19695, 543, 13339, 269, 19162, 601, 3623, 15969, 616, 1271, 538, 2890, 19491, 16361, 607, 789, 1106, 693, 15118, 2388, 540, 19695, 543, 13339, 269, 11906, 4542, 281, 301, 328, 273, 31333, 631, 6897, 2527, 281, 13970, 269, 5325, 274, 575, 8276, 565, 25670, 281, 278, 269, 2412, 575, 30763, 274, 454, 22068, 6625, 9995, 12724, 1667, 476, 1708, 271, 268, 276, 268, 1724, 22068, 6625, 31763, 345, 19783, 269, 19783, 585, 13339, 21247, 666, 581, 1031, 538, 2182, 543, 5393, 2182, 2326, 11493, 267, 5935, 267, 568, 4922, 1031, 538, 7626, 267, 9160, 267, 18195, 1559, 267, 11956, 1141, 519, 3037, 804, 28310, 267, 900, 2044, 543, 824, 2679, 5070, 454, 22068, 6625, 6491, 20183, 630, 31333, 274, 301, 275, 264, 2501, 538, 3029, 971, 607, 5114, 27433, 267, 521, 842, 1229, 543, 3905, 20399, 269, 20056, 550, 5687, 334, 7344, 3601, 723, 2938, 713, 1570, 1031, 585, 2599, 2694, 267, 26971, 267, 4496, 20619, 543, 824, 4853, 813, 2993, 687, 563, 2171, 1491, 782, 10257, 3268, 547, 1832, 5150, 1022, 1344, 799, 649, 3180, 827, 596, 269, 9608, 1344, 949, 581, 6740, 1312, 6475, 1227, 593, 938, 2780, 1062, 267, 543, 538, 2182, 2275, 4878, 1106, 269, 9605, 31486, 267, 476, 14225, 279, 9779, 642, 274, 9399, 299, 14238, 267, 18538, 267, 4550, 8686, 6400, 3301, 543, 454, 22068, 6625, 2961, 321, 728, 544, 1638, 924, 15839, 2326, 538, 519, 4401, 543, 5374, 267, 1875, 2536, 9317, 8407, 267, 4620, 10635, 8707, 267, 12227, 267, 5201, 267, 1769, 2872, 543, 824, 2596, 6080, 723, 513, 2647, 2039, 540, 813, 2993, 687, 269, 634, 1292, 813, 2993, 542, 2127, 540, 18195, 800, 2326, 543, 741, 9757, 17114, 538, 519, 5374, 2872, 20039, 585, 519, 4102, 8167, 563, 300, 6897, 2527, 281, 476, 10711, 269, 8660, 25670, 281, 476, 280, 269, 1240, 326, 30763, 274, 9253, 1154, 1448, 281, 476, 273, 267, 277, 3445, 595, 1284, 849, 3761, 2630, 29743, 838, 32211, 9072, 1570, 281, 26537, 1756, 2961, 321, 728, 9197, 273, 290, 274, 267, 9197, 290, 670, 2378, 333, 1756, 2961, 321, 728, 670, 325, 290, 15281, 984, 1756, 2961, 321, 728, 715, 321, 290, 8125, 8336, 2961, 321, 728, 13961, 290, 570, 656, 531, 636, 2961, 321, 728, 19248, 290, 454, 13510, 9005, 585, 22312, 7330, 3794, 984, 958, 9612, 2165, 281, 834, 338, 559, 3821, 20543, 257, 14424, 15733, 281, 8564, 909, 547, 476, 275, 2472, 269, 28541, 8166, 12430, 16754, 281, 13961, 302, 476, 273, 476, 2568, 269, 5400, 31909, 715, 21838, 281, 476, 278, 8287, 272, 268, 10436, 268, 280, 476, 278, 4366, 14065, 20543, 267, 8544, 641, 5387, 267, 476, 1220, 16354, 9325, 2450, 267, 31736, 2450, 476, 275, 16354, 454, 300, 333, 274, 302, 275, 268, 1911, 4211, 29151, 2910, 288, 585, 631, 333, 274, 302, 275, 268, 1911, 22670, 12547, 20543, 8869, 476, 4200, 269, 279, 260, 476, 2004, 16354, 631, 333, 274, 302, 275, 268, 1911, 6261, 3722, 13268, 720, 585, 631, 333, 274, 302, 275, 268, 1911, 22670, 12547, 20543, 8869, 476, 4200, 269, 279, 260, 476, 2004, 16354, 631, 333, 274, 302, 275, 268, 1911, 268, 4916, 291, 3487, 1834, 12025, 17392, 585, 631, 333, 274, 302, 275, 268, 1911, 22670, 454, 1708, 271, 270, 278, 270, 279, 6440, 6820, 28541, 2961, 321, 728, 10369, 12025, 476, 1708, 271, 676, 13870, 267, 13044, 268, 866, 8177, 5811, 267, 5440, 18831, 7383, 268, 2750, 1636, 543, 29283, 5983, 4751, 1299, 13636, 5811, 676, 476, 1708, 276, 15618, 281, 5147, 476, 279, 267, 6693, 5978, 5542, 540, 2872, 1808, 17476, 3382, 513, 1804, 2039, 540, 3584, 269, 1411, 949, 3442, 547, 24049, 547, 519, 3281, 895, 590, 2438, 13503, 528, 18225, 267, 519, 3281, 895, 590, 2438, 13503, 528, 5240, 12072, 267, 610, 1312, 269, 1411, 949, 849, 7662, 3606, 1344, 952, 2838, 267, 1354, 454, 2254, 577, 8860, 3937, 585, 13339, 530, 2378, 619, 22750, 25416, 2443, 589, 696, 2131, 24322, 5549, 269, 22750, 8860, 267, 513, 6390, 22750, 4515, 4979, 267, 568, 2565, 547, 519, 5663, 540, 782, 19202, 530, 2378, 619, 543, 530, 2378, 619, 602, 616, 1031, 538, 519, 5478, 540, 1082, 824, 3157, 267, 971, 607, 590, 1952, 10921, 267, 31763, 345, 267, 1325, 29837, 610, 28541, 2961, 321, 728, 563, 22068, 6625, 2961, 321, 728, 8869, 8276, 2222, 1790, 32535, 609, 519, 1543, 540, 13961, 290, 811, 982, 476, 7176, 269, 276, 9077, 519, 9325, 2450, 476, 1220, 6996, 327, 267, 17168, 6996, 327, 610, 1256, 476, 7785, 6996, 327, 28541, 29743, 568, 606, 4998, 7623, 632, 31038, 6500, 267, 964, 5285, 584, 6500, 28022, 543, 23313, 814, 513, 2178, 25505, 609, 5135, 269, 23883, 454, 15371, 13339, 29743, 610, 11956, 12547, 19046, 2923, 2306, 519, 1034, 2631, 585, 707, 5663, 5106, 267, 596, 666, 1293, 593, 5685, 5109, 7010, 585, 519, 1318, 1587, 693, 519, 1318, 3902, 269, 1284, 4076, 1044, 538, 1870, 2094, 476, 3192, 273, 1107, 649, 1174, 519, 2189, 11956, 12547, 1025, 8463, 2923, 2115, 540, 3549, 2066, 513, 3376, 8552, 540, 6080, 563, 22068, 6625, 2961, 321, 728, 4427, 1598, 919, 27824, 5450, 1023, 29714, 29714, 4004, 328, 687, 10049, 14409, 17224, 18209, 1299, 16470, 19901, 22997, 5020, 7070, 590, 2438, 13503, 528, 13317, 16811, 14825, 12067, 7767, 832, 7767, 832, 11038, 1234, 548, 1162, 5680, 4751, 338, 454, 1708, 271, 270, 276, 270, 1789, 6440, 5637, 13339, 29743, 543, 512, 32500, 29743, 616, 1875, 268, 6448, 4702, 23907, 269, 1703, 616, 476, 866, 1570, 3601, 609, 2418, 585, 1312, 2326, 269, 16544, 609, 2418, 585, 1175, 835, 1570, 630, 272, 267, 538, 713, 2013, 264, 616, 711, 3254, 269, 7490, 4063, 602, 519, 1079, 2326, 723, 454, 22068, 6625, 22179, 476, 273, 269, 3451, 6121, 829, 12945, 1298, 9014, 610, 476, 273, 476, 20065, 11304, 829, 12945, 11281, 267, 1775, 4318, 269, 5860, 540, 13339, 568, 3160, 547, 476, 273, 476, 20065, 4846, 8276, 23326, 282, 693, 476, 1839, 595, 630, 6507, 674, 610, 476, 29218, 269, 1428, 298, 264, 693, 3044, 11626, 2604, 269, 769, 15875, 610, 2475, 22232, 6482, 1062, 267, 519, 5860, 568, 3160, 547, 476, 13970, 269, 3393, 278, 11013, 829, 12945, 3723, 1496, 331, 321, 270, 1111, 23326, 3910, 610, 476, 272, 269, 3374, 26412, 829, 12945, 10759, 1496, 9926, 30032, 577, 23326, 316, 4586, 22068, 6625, 25543, 22381, 528, 728, 5907, 3446, 267, 21759, 4200, 269, 4200, 260, 14271, 7716, 281, 28541, 263, 4353, 264, 21973, 31909, 715, 21838, 476, 278, 4281, 274, 268, 8618, 268, 272, 12430, 16754, 13961, 293, 476, 275, 17449, 13379, 476, 10441, 269, 5400, 10566, 715, 21838, 476, 22446, 268, 27888, 268, 276, 11022, 299, 8356, 518, 631, 293, 7374, 1822, 28147, 3451, 6583, 290, 1335, 28548, 9517, 476, 27886, 277, 7176, 5952, 715, 3722, 305, 2464, 454, 25820, 769, 14351, 5410, 1677, 14295, 7698, 13517, 12025, 10829, 640, 8830, 640, 3487, 715, 21838, 12313, 769, 14351, 5410, 1677, 14295, 28541, 3933, 6448, 590, 6579, 2975, 2177, 631, 2177, 302, 311, 22432, 28697, 4488, 2464, 267, 13961, 302, 267, 476, 4200, 269, 9032, 260, 623, 13543, 267, 476, 273, 269, 276, 268, 276, 12613, 28697, 4488, 2464, 267, 476, 272, 918, 6579, 8104, 305, 4456, 476, 273, 269, 276, 7825, 910, 476, 276, 7825, 26629, 806, 476, 272, 4846, 476, 4200, 269, 9032, 260, 1269, 25784, 0, 268, 6904, 2749, 814, 519, 1655, 1216, 538, 519, 1158, 888, 268, 6904, 2197, 568, 29659, 538, 1216, 2200, 888, 268, 1548, 3148, 814, 519, 9803, 2067, 15195, 8244, 888, 268, 1215, 1082, 2477, 723, 1100, 2973, 1216, 888, 268, 1548, 2197, 814, 519, 6574, 2179, 540, 15195, 888, 268, 5808, 22595, 1034, 540, 519, 1158, 779, 1216, 888, 268, 5808, 814, 519, 2973, 652, 1216, 538, 519, 1158, 888, 268, 7316, 568, 519, 2973, 652, 1216, 538, 519, 1158, 888, 268, 5808, 22595, 4993, 1216 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21380, 780, 2750, 716, 12980, 568, 6325, 538, 519, 1739, 2631, 281, 1403, 3169, 1297, 3615, 616, 5293, 547, 1022, 540, 519, 12980, 5773, 4330, 538, 3296, 1109, 280, 269, 279, 269, 272, 267, 543, 606, 3169, 1297, 1843, 568, 8120, 267, 1287, 519, 1267, 568, 28879, 2953, 269, 901, 568, 3622, 711, 3020, 540, 26398, 5473, 538, 1410, 716, 1297, 3615, 1317, 16977, 2409, 971, 607, 13735, 15304, 12980, 949, 581, 1031, 267, 855, 621, 568, 519, 10279, 540, 1142, 6388, 547, 1118, 519, 1267, 607, 2673, 607, 4052, 547, 519, 28879, 4998, 1267, 780, 1012, 476, 273, 269, 274, 1109, 1109, 293, 1460, 333, 4548, 543, 1166, 517, 4548, 692, 288, 4368, 11133, 568, 606, 3169, 8870, 1843, 602, 6013, 1369, 513, 1978, 6388, 17466, 1016, 9792, 540, 519, 3169, 8870, 3615, 269, 630, 299, 3869, 3296, 593, 968, 293, 1460, 333, 4548, 892, 6257, 513, 5399, 585, 7384, 609, 4368, 333, 4548, 4700, 19452, 267, 1169, 6388, 568, 2838, 547, 1374, 622, 513, 15410, 540, 922, 538, 1410, 716, 1483, 1297, 3615, 8204, 607, 1166, 517, 4548, 267, 543, 547, 6460, 1978, 5007, 11269, 883, 1166, 517, 4548, 269, 630, 299, 3869, 3296, 593, 968, 14503, 517, 4548, 892, 6257, 513, 5399, 585, 7384, 609, 1166, 517, 4548, 4700, 8074, 602, 713, 1281, 711, 17538, 602, 606, 6388, 568, 2838, 547, 946, 13735, 15304, 11269, 780, 1012, 476, 273, 269, 275, 1109, 1109, 25363, 7695, 4170, 692, 25363, 618, 725, 540, 30868, 616, 2838, 547, 1489, 1297, 3615, 585, 519, 3003, 13486, 540, 1016, 18196, 2016, 538, 3296, 1109, 273, 269, 272, 269, 5047, 267, 30582, 616, 2838, 547, 1489, 3169, 8870, 3615, 543, 3169, 7787, 1297, 3615, 540, 18374, 19957, 2450, 543, 8856, 267, 543, 547, 2936, 1978, 5773, 630, 4289, 539, 538, 476, 280, 269, 279, 269, 272, 264, 865, 789, 2141, 2132, 3169, 2164, 950, 2016, 3169, 7440, 269, 12462, 303, 847, 1227, 19957, 892, 1797, 602, 519, 2450, 543, 8856, 540, 891, 2338, 1058, 1152, 581, 3908, 676, 519, 2450, 540, 519, 2139, 3965, 24355, 25363, 618, 725, 949, 1489, 1152, 513, 3908, 2039, 540, 538, 1410, 716, 1297, 3615, 540, 1022, 1826, 267, 1641, 547, 519, 4170, 540, 713, 3296, 269, 1280, 1383, 267, 606, 6388, 949, 3970, 519, 2039, 540, 519, 538, 1410, 716, 1483, 1297, 3615, 630, 663, 4061, 519, 2039, 540, 538, 1410, 716, 8870, 543, 7787, 1297, 3615, 264, 547, 519, 6422, 2039, 540, 519, 1166, 517, 636, 3898, 269, 5015, 519, 10616, 1063, 519, 538, 1410, 716, 8870, 3615, 543, 32311, 1023, 616, 2693, 547, 581, 1360, 1804, 538, 971, 606, 6388, 607, 519, 7182, 540, 713, 2039, 616, 14059, 780, 2304, 6388, 949, 946, 13735, 1448, 543, 824, 16977, 6041, 2994, 585, 538, 1410, 716, 2338, 269, 901, 1867, 15565, 267, 855, 1281, 711, 2154, 267, 602, 519, 20959, 13735, 15304, 4441, 581, 4553, 676, 30582, 602, 946, 13735, 15304, 11269, 267, 543, 602, 30582, 1210, 824, 11269, 1058, 6474, 610, 9765, 519, 8856, 24276, 1210, 891, 13735, 1448, 4441, 1109, 314, 1691, 316, 780, 1103, 1880, 267, 30582, 602, 946, 13735, 15304, 11269, 1590, 1246, 891, 3652, 281, 589, 13735, 15304, 1267, 1590, 581, 6719, 609, 693, 2547, 607, 1454, 8856, 607, 568, 1031, 547, 2769, 1022, 540, 519, 538, 1410, 716, 7440, 547, 602, 5106, 269, 898, 568, 14909, 630, 8117, 711, 2838, 264, 585, 5732, 538, 1410, 716, 4238, 971, 607, 21762, 267, 950, 4294, 547, 3169, 7440, 267, 547, 3132, 3169, 4267, 8164, 2009, 630, 1721, 1383, 519, 4009, 3597, 540, 606, 3169, 476, 275, 11129, 547, 581, 606, 3169, 476, 273, 1040, 1403, 267, 2705, 267, 606, 3169, 1297, 1843, 568, 13234, 2390, 865, 607, 547, 3132, 606, 538, 1410, 716, 1267, 630, 553, 676, 21762, 1070, 543, 952, 519, 1267, 568, 6719, 538, 13735, 1448, 267, 1287, 519, 1034, 5730, 13735, 15304, 3898, 2139, 1590, 581, 1031, 282, 855, 952, 519, 1267, 568, 6719, 538, 930, 824, 1259, 1287, 519, 6041, 1590, 723, 693, 2547, 607, 1454, 8856, 607, 519, 1034, 5730, 13735, 15304, 3898, 2139, 780, 2005, 568, 519, 27732, 779, 5539, 547, 2057, 1210, 538, 1410, 716, 1297, 3615, 609, 9588, 610, 1542, 663, 1932, 1804, 547, 581, 6719, 538, 519, 6388, 780, 1012, 476, 273, 269, 276, 1109, 1109, 14813, 514, 885, 543, 10878, 28213, 692, 31339, 20581, 568, 9833, 607, 513, 1483, 630, 8117, 711, 7787, 264, 1297, 1843, 602, 4564, 606, 967, 9057, 3729, 1297, 3152, 982, 519, 2338, 6719, 676, 782, 7787, 1297, 3615, 269, 20134, 20581, 568, 9833, 607, 513, 1483, 630, 8117, 711, 7787, 264, 1297, 1843, 602, 4564, 606, 967, 9057, 3729, 1297, 1447, 982, 519, 2338, 6719, 676, 782, 7787, 2338, 780, 288, 10878, 301, 568, 9833, 607, 513, 1483, 630, 8117, 711, 7787, 264, 1297, 1843, 865, 967, 9057, 3729, 602, 621, 1522, 2099, 1022, 1483, 1297, 267, 1519, 2318, 610, 2942, 20581, 267, 543, 1522, 1256, 581, 3152, 982, 2318, 20581, 610, 1447, 982, 2942, 20581, 780, 1012, 476, 273, 269, 277, 1109, 1109, 18850, 3907, 1639, 910, 271, 269, 271, 692, 5278, 30868, 30582, 267, 4481, 1346, 602, 1246, 519, 20959, 13735, 15304, 4441, 267, 10646, 1063, 1297, 3615, 585, 476, 271, 269, 271, 543, 910, 476, 271, 269, 271, 267, 1775, 4318, 1421, 2318, 543, 2942, 538, 1410, 716, 4642, 269, 901, 1867, 786, 3006, 14574, 519, 2623, 540, 1978, 12980, 4238, 593, 891, 1297, 3615, 269, 1452, 16551, 616, 6825, 609, 968, 604, 910, 476, 271, 269, 271, 568, 13747, 892, 610, 968, 574, 921, 618, 725, 602, 10646, 910, 476, 271, 269, 271, 6100 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 1378, 17174, 1158, 799, 568, 538, 5912, 267, 543, 519, 1007, 1514, 1931, 799, 10741, 909, 642, 626, 553, 585, 741, 7004, 269, 4438, 713, 1788, 649, 6322, 693, 18836, 532, 519, 5013, 827, 519, 11031, 540, 3127, 543, 4000, 547, 519, 1053, 563, 1103, 519, 1576, 540, 519, 1788, 649, 6446, 4240, 909, 513, 3126, 540, 2238, 998, 799, 519, 1053, 941, 2111, 547, 1353, 519, 15295, 4162, 540, 519, 11031, 267, 917, 741, 1459, 1514, 267, 2804, 543, 1072, 4567, 543, 917, 519, 4128, 1946, 789, 616, 13155, 563, 25565, 24853, 616, 15116, 547, 610, 8984, 540, 513, 1978, 4182, 610, 6803, 1895, 267, 799, 2356, 25601, 2178, 2609, 540, 519, 2528, 689, 799, 621, 24865, 269, 769, 2127, 1141, 4207, 5375, 535, 1662, 687, 723, 1831, 8912, 267, 2757, 24853, 616, 1419, 12816, 538, 4276, 609, 2027, 2621, 543, 16873, 267, 3226, 1346, 4448, 609, 2686, 5389, 267, 6561, 267, 610, 11348, 269, 3776, 2832, 3297, 713, 1788, 729, 547, 538, 1529, 322, 622, 519, 4743, 540, 11348, 585, 835, 779, 1378, 2757, 30933, 607, 1134, 607, 547, 2463, 585, 519, 1140, 2231, 540, 824, 2477, 10838, 938, 1053, 269, 1358, 6956, 519, 10923, 4128, 602, 1860, 519, 19703, 540, 519, 1004, 540, 1114, 4525, 563, 26364, 858, 1231, 4139, 3427, 7959, 10583, 547, 723, 12913, 713, 9740, 676, 5870, 519, 4879, 7355, 998, 519, 5916, 4674, 540, 519, 4959, 288, 2319, 543, 1053, 269, 1284, 4076, 4465, 519, 20380, 4139, 3427, 13815, 24705, 1042, 676, 3703, 7027, 585, 8400, 476, 1001, 279, 268, 2641, 563, 763, 1292, 3483, 540, 606, 32751, 542, 568, 547, 10802, 519, 1053, 543, 547, 1491, 1565, 3564, 519, 2185, 6821, 540, 4928, 269, 634, 2832, 540, 891, 15143, 568, 547, 7747, 519, 1641, 538, 922, 2067, 1533, 543, 547, 1174, 519, 1483, 267, 18371, 1158, 269, 2060, 713, 2856, 267, 26186, 1231, 4139, 3427, 814, 23939, 6896, 1082, 2361, 15143, 547, 1039, 1187, 543, 15131, 547, 519, 1641, 2339, 1247, 23429, 519, 8186, 538, 8744, 856, 519, 1655, 856, 540, 519, 1053, 269, 23225, 540, 873, 616, 7396, 2630, 18737, 0, 28319, 559, 538, 513, 9791, 667, 816, 4014, 519, 1292, 1915, 26442, 2131, 658, 14168, 21984, 331, 1231, 568, 711, 513, 13931, 4357, 19792, 267, 646, 568, 2016, 519, 4316, 547, 960, 607, 952, 646, 941, 835, 269, 3509, 540, 519, 2238, 5000, 1053, 547, 2170, 609, 1142, 824, 267, 581, 3860, 543, 1589, 834, 719, 2515, 540, 519, 4216, 2437, 543, 6038, 9787, 1883, 2035, 689, 519, 1257, 676, 834, 4777, 532, 257, 2864, 982, 3274, 4974, 563, 2005, 568, 8886, 908, 950, 1004, 2119, 547, 27682, 1686, 676, 5910, 2056, 602, 2797, 2953, 338, 11498, 552, 27238, 547, 519, 2250, 269, 1358, 1831, 10156, 607, 519, 2956, 540, 519, 1915, 610, 1843, 23229, 563, 763, 476, 736, 11791, 267, 7317, 4928, 2238, 602, 616, 3769, 786, 948, 1053, 1174, 8061, 559, 538, 513, 9791, 667, 816, 538, 1187, 543, 19278, 2081, 269, 8061, 559, 538, 513, 9791, 667, 816, 269, 1809, 267, 789, 849, 3382, 1082, 540, 519, 824, 2152, 1808, 547, 519, 960, 543, 547, 519, 1158, 2221, 563, 3891, 5134, 6412, 338, 3043, 1004, 538, 2489, 543, 3043, 2384, 18779, 538, 1880, 269, 1358, 2154, 811, 2219, 982, 2789, 3903, 2055, 267, 855, 616, 10156, 982, 519, 1557, 2055, 563, 2791, 666, 9192, 3232, 4245, 610, 946, 519, 2093, 1369, 873, 547, 1711, 707, 1378, 2189, 6437, 269, 1879, 519, 1433, 10741, 14168, 814, 4986, 547, 798, 2094, 646, 4503, 1010, 2816, 519, 3105, 1554, 269, 634, 1433, 568, 1360, 28505, 543, 4277, 269, 11545, 16497, 1142, 723, 513, 1808, 6662, 543, 2709, 693, 2547, 1614, 1419, 811, 2081, 547, 4001, 602, 6662, 563, 763, 3126, 568, 2442, 543, 23619, 1134, 269, 634, 2055, 616, 7745, 856, 883, 6810, 267, 865, 789, 1445, 593, 1808, 11271, 1369, 8061, 559, 538, 513, 9791, 667, 816, 563, 29128, 1175, 1354, 519, 1433, 5956, 14168, 814, 5249, 538, 606, 20987, 5663, 2030, 269, 2368, 723, 1557, 2055, 267, 1247, 1866, 616, 3908, 547, 2110, 268, 24978, 2055, 267, 899, 2789, 3903, 267, 12805, 543, 2110, 2626, 2055, 563, 9773, 754, 1513, 3382, 835, 267, 1079, 267, 2185, 267, 543, 5216, 3018, 4559, 269, 14168, 4667, 547, 917, 16764, 543, 814, 513, 2250, 609, 873, 563, 2005, 568, 4277, 547, 4063, 602, 693, 519, 942, 950, 519, 3209, 3217, 1747, 972, 616, 14903, 11396, 3395, 1148, 747, 10280, 267, 22229, 267, 543, 23858, 1063, 25708, 700, 563, 2171, 666, 5635, 543, 4334, 581, 19354, 7260, 543, 1433, 1557, 4217, 596, 538, 3478, 7759, 540, 782, 891, 7965, 602, 4473, 707, 2566, 1377, 538, 519, 6185, 5271, 559, 538, 513, 9791, 667, 816, 4828, 11762, 1299, 5675, 25849, 906, 19124, 17018, 2917, 901, 1305, 540, 7689, 12697, 5161, 540, 5111, 3817, 540, 4255, 267, 1557, 2055, 267, 4245, 267, 543, 824, 3450, 2326, 563, 28319, 559, 538, 513, 9791, 667, 816, 5526, 547, 581, 8076, 711, 1152, 538, 922, 8978, 640, 267, 855, 538, 519, 1259, 621, 7959, 543, 519, 5790, 17018, 2917, 5932, 269, 2755, 2542, 519, 4216, 519, 5467, 568, 2111, 547, 8263, 519, 1268, 320, 540, 14168, 21984, 13530, 543, 1413, 693, 2621, 998, 1010, 4064, 563, 28319, 559, 538, 513, 9791, 667, 816, 568, 513, 3209, 5693, 9112, 1472, 18765, 540, 5198, 269, 9181, 519, 11269, 540, 5198, 1336, 538, 519, 3209, 269, 2422, 519, 1739, 2055, 547, 948, 596, 1265, 513, 1445, 585, 596, 547, 1865, 4481, 538, 707, 8061, 559, 538, 513, 9791, 667, 816, 4828, 563, 16240, 3732, 540, 2079, 1557, 593, 513, 2016, 1888, 834, 28319, 559, 769, 9791, 667, 816, 257, 8061, 559, 538, 9791, 667, 816, 968, 28319, 559, 538, 4544, 10571, 892, 568, 513, 2182, 23017, 9814, 3209, 602, 729, 2854, 676, 19124, 17018, 2917, 269, 898, 269, 8061, 559, 538, 513, 4544, 10571, 1557, 1261, 568, 513, 8938, 32732, 910, 20204, 2025, 3109, 812, 689, 7147, 563, 1103, 519, 3818, 30710, 2486, 519, 10665, 1063, 519, 14797, 267, 2523, 1063, 519, 17051, 543, 16543, 616, 1869, 1629, 2117, 730, 1134, 563, 28319, 559, 538, 513, 9791, 667, 816, 729, 5921, 547, 20006, 513, 2898, 3126, 540, 14168, 21984, 331, 1231, 13655, 269, 898, 1558, 609, 2318, 2565, 3210, 855, 2370, 6905, 2079, 610, 4901, 282, 1906, 1367, 19792, 9089, 723, 1044, 2016, 2673, 21849, 13220, 6185, 5877, 0, 291, 528, 18333, 4303, 630, 6245, 278, 1107, 476, 2735, 271, 264, 729, 606, 1977, 2278, 267, 1514, 19191, 543, 1821, 719, 7826, 1246, 518, 540, 4906, 269, 2701, 729, 513, 13047, 3196, 585, 1514, 543, 2804, 7862, 1759, 856, 540, 1200, 5132, 543, 1995, 540, 2696, 269, 2701, 568, 3743, 538, 1804, 851, 585, 519, 3350, 602, 1869, 6818, 2221, 630, 16838, 1934, 538, 18718, 1633, 14386, 1572, 634, 7826, 4518, 518, 563, 9515, 11339, 513, 2603, 827, 32238, 543, 16650, 2587, 560, 538, 519, 2413, 2085, 267, 799, 1352, 7125, 519, 1279, 20420, 269, 2701, 31234, 602, 1152, 2648, 666, 1205, 721, 856, 540, 519, 1279, 20420, 676, 6679, 938, 4064, 547, 875, 1454, 649, 991, 519, 2648, 540, 2696, 543, 1866, 267, 607, 1134, 607, 519, 4641, 602, 649, 991, 547, 581, 6068, 676, 2696, 543, 1866, 269, 2701, 22617, 956, 689, 519, 24396, 14751, 566, 540, 6754, 945, 3081, 602, 968, 331, 913, 936, 3699, 782, 1919, 892, 689, 476, 272, 29833, 2103, 476, 1724, 281, 272, 268, 1724, 563, 26524, 585, 3742, 8086, 912, 268, 1215, 616, 596, 12592, 547, 2648, 543, 581, 6068, 676, 2696, 543, 676, 1866, 888, 268, 1215, 814, 1373, 6068, 676, 824, 1004, 267, 8118, 596, 547, 519, 9097, 14751, 566, 602, 649, 616, 28222, 6068, 676, 2696, 888, 268, 5808, 616, 596, 10010, 547, 2648, 891, 2395, 2507, 907, 16341, 821, 3116, 286, 606, 10546, 286, 3054, 286, 1920, 286, 2696, 888, 5278, 10530, 689, 16910, 18333, 4303, 779, 12591, 538, 799, 1352, 22617, 956, 609, 519, 10206, 540, 2648, 267, 3028, 267, 17604, 543, 1272, 563, 14071, 723, 782, 1634, 519, 1279, 20420, 543, 649, 723, 4121, 602, 519, 1152, 3070, 568, 2648, 543, 602, 2648, 2501, 609, 2146, 3034, 14881, 2731, 1152, 2648, 2696, 607, 1454, 607, 594, 2648, 519, 1268, 594, 2648, 519, 2547, 3034, 2108, 27094, 5641, 338, 856, 4250, 267, 855, 649, 723, 547, 1205, 936, 519, 4250, 538, 1931, 547, 1205, 2673, 2614, 547, 2648, 873, 563, 2108, 10673, 1406, 5855, 827, 1373, 2500, 269, 3807, 13404, 593, 1373, 21705, 547, 519, 5168, 3034, 2108, 17829, 945, 3112, 1294, 2441, 538, 519, 4057, 616, 19473, 1235, 8197, 269, 9232, 454, 14881, 3494, 602, 649, 1590, 3914, 938, 7015, 267, 2760, 9522, 532, 1524, 938, 4909, 1727, 657, 1431, 267, 855, 5870, 1864, 950, 646, 12134, 547, 581, 1558, 267, 609, 513, 2601, 585, 519, 5132, 602, 568, 538, 721, 267, 607, 1134, 607, 609, 513, 15962, 29059, 585, 873, 607, 14552, 3034, 2108, 10673, 1406, 1289, 803, 513, 23920, 269, 594, 1810, 1406, 1616, 547, 581, 25323, 865, 3362, 3034, 10527, 2631, 540, 13777, 1006, 568, 835, 540, 519, 6574, 859, 2812, 540, 519, 1554, 2507, 10144, 2161, 267, 968, 1432, 666, 835, 1268, 798, 286, 1548, 568, 519, 2631, 540, 938, 1507, 4674, 9495, 1358, 3112, 1294, 602, 649, 666, 1152, 2482, 835, 15839, 693, 513, 942, 267, 1491, 835, 1900, 693, 513, 942, 282, 649, 666, 581, 3743, 1152, 585, 519, 835, 2962, 540, 519, 1459, 4090, 269, 1809, 649, 666, 1917, 585, 606, 2333, 540, 2648, 538, 938, 12271, 602, 786, 4105, 1125, 543, 2981, 782, 938, 1367, 3527, 267, 543, 917, 602, 2696, 786, 1491, 873, 543, 9062, 873, 267, 607, 4906, 16611, 519, 3138, 2314, 543, 24991, 3034, 18658, 649, 1131, 899, 547, 798, 568, 1689, 519, 1158, 1700, 24708, 621, 513, 2370, 12863, 585, 1004, 547, 3049, 267, 804, 6139, 267, 543, 12062, 2933, 607, 2696, 5497, 873, 547, 798, 269, 1656, 267, 676, 8165, 585, 1732, 2175, 267, 676, 24986, 856, 796, 576, 2084, 569, 585, 519, 2924, 540, 519, 4600, 267, 519, 4057, 267, 540, 519, 3186, 3482, 1700, 1492, 2924, 540, 519, 17709, 543, 519, 7938, 20564, 4057, 267, 538, 824, 1913, 1700, 933, 666, 267, 547, 513, 1978, 6708, 267, 1689, 519, 1158, 282, 649, 666, 960, 585, 519, 522, 12118, 267, 519, 2370, 1591, 540, 7772, 543, 4708, 538, 513, 3771, 3072, 1158, 269, 1284, 666, 12235, 938, 890, 321, 1076, 538, 519, 11432, 543, 581, 8746, 602, 922, 2479, 11097, 2287, 5858, 786, 3914, 1472, 519, 1158, 269, 1284, 10956, 267, 972, 568, 4986, 649, 666, 798, 855, 2648, 267, 543, 267, 15210, 2696, 267, 5225, 23822, 938, 12271, 547, 2648, 1142, 824, 267, 547, 2648, 938, 7023, 267, 547, 2648, 938, 10546, 607, 938, 3659, 3034, 2108, 27094, 543, 2479, 811, 2648, 568, 519, 1152, 3070, 547, 1169, 1966, 602, 2501, 909, 563, 28490, 649, 2648, 1142, 824, 2614, 267, 649, 786, 7703, 609, 1142, 824, 779, 24966, 543, 24675, 563, 2252, 649, 2648, 2614, 267, 649, 616, 2469, 547, 1769, 513, 3595, 538, 519, 12271, 540, 1866, 563, 4517, 621, 568, 2648, 602, 786, 6633, 856, 519, 21359, 543, 23998, 338, 602, 521, 5417, 523, 721, 269, 898, 568, 2648, 602, 786, 1118, 721, 1616, 547, 798, 1390, 1919, 585, 1142, 824, 269, 3143, 15093, 543, 1100, 7092, 786, 1287, 3100, 1932, 1454, 1848, 0, 11742, 585, 519, 3791, 3888, 618, 540, 519, 3126, 269, 3689, 267, 649, 5941, 10906, 717, 2532, 749, 779, 3345, 543, 3162, 543, 1287, 2063, 3018, 649, 4682, 936, 8176, 28726, 685, 28563, 752, 5600, 269, 4653, 267, 594, 1459, 596, 519, 20100, 602, 568, 6723, 18379, 582, 779, 5664, 332, 1105, 689, 476, 1960, 275, 269, 3767, 267, 6723, 18379, 582, 568, 835, 540, 519, 1906, 4589, 1004, 616, 8572, 547, 9114, 827, 6616, 267, 1317, 950, 18379, 582, 779, 960, 2501, 909, 538, 6643, 543, 519, 5910, 2105, 3081, 968, 296, 2648, 1010, 960, 892, 596, 917, 513, 264, 789, 723, 1100, 23319, 945, 596, 616, 6158, 827, 610, 536, 264, 789, 616, 19451, 269, 4208, 286, 5221, 6723, 18379, 582, 568, 513, 1352, 267, 711, 513, 646, 269, 18004, 6307, 7788, 27213, 630, 2420, 5437, 476, 8687, 280, 1107, 476, 2420, 5412, 476, 6642, 271, 910, 835, 540, 1250, 5172, 1004, 547, 2671, 513, 14512, 609, 256, 1070, 18379 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1349, 267, 972, 616, 2484, 7864, 2152, 950, 7382, 11544, 609, 824, 989, 10635, 8707, 338, 269, 901, 568, 1317, 7429, 891, 1349, 2861, 2472, 267, 2892, 5390, 997, 3679, 568, 711, 1759, 593, 11950, 602, 666, 2887, 856, 540, 3070, 630, 2181, 27457, 10028, 270, 4148, 665, 1529, 622, 264, 950, 789, 2170, 609, 519, 824, 989, 1258, 13929, 30422, 269, 1306, 971, 267, 2892, 5390, 997, 3679, 10355, 3340, 513, 5094, 1780, 547, 1205, 621, 5196, 519, 16714, 540, 513, 7693, 563, 32101, 10613, 543, 19047, 454, 21946, 5390, 997, 3679, 2861, 19310, 6002, 666, 581, 4294, 547, 7031, 998, 1585, 2409, 267, 1519, 1165, 3511, 838, 7590, 267, 6079, 5574, 267, 543, 3597, 546, 3402, 532, 269, 898, 568, 1898, 547, 1246, 5227, 18262, 4808, 543, 3498, 4626, 902, 585, 6099, 2164, 269, 3958, 267, 621, 568, 2629, 547, 2707, 1164, 7779, 267, 6325, 2472, 689, 18019, 14273, 547, 2327, 12117, 543, 6922, 1047, 1761, 2427, 2360, 563, 29128, 5063, 2472, 5627, 2892, 5390, 997, 3679, 2760, 9765, 513, 7008, 540, 2600, 5834, 269, 901, 607, 1317, 789, 941, 2813, 1210, 519, 3044, 2409, 540, 4744, 6295, 519, 1587, 538, 1216, 269, 901, 2164, 538, 1360, 1804, 13066, 1373, 2838, 547, 1205, 606, 2500, 9570, 5196, 513, 7693, 269, 1717, 267, 661, 583, 516, 2742, 779, 1007, 476, 1321, 269, 276, 260, 6428, 5390, 997, 18729, 1587, 568, 513, 19729, 13404, 609, 513, 2484, 2539, 9570, 2557, 269, 1924, 6705, 991, 547, 3274, 1039, 476, 1911, 268, 1220, 332, 299, 883, 513, 476, 1220, 1396, 516, 7382, 950, 7311, 1776, 1165, 3511, 2126, 547, 1205, 519, 2407, 4324, 540, 2892, 5390, 997, 3679, 13251, 20237, 6114, 563, 1103, 519, 1391, 585, 4264, 543, 14388, 6683, 267, 519, 946, 540, 2892, 5390, 997, 3679, 607, 606, 19310, 3218, 540, 2030, 20237, 6127, 3091, 10373, 1761, 269, 4706, 2702, 547, 5818, 2068, 4187, 267, 4383, 10860, 267, 3986, 2566, 10892, 267, 543, 2087, 11729, 1118, 621, 513, 3407, 10697, 585, 6705, 269, 1635, 6220, 2892, 5390, 997, 3679, 2861, 19310, 6002, 883, 741, 7693, 2359, 2853, 267, 6705, 666, 12260, 519, 2067, 20237, 6127, 540, 2371, 267, 2870, 513, 8902, 543, 811, 11327, 6694, 1062, 563, 3383, 267, 1577, 779, 9784, 519, 1379, 540, 2892, 5390, 997, 3679, 543, 7668, 938, 7031, 547, 8853, 538, 519, 3068, 540, 2591, 267, 7700, 547, 513, 811, 4264, 543, 5150, 1426, 2104, 269, 1280, 811, 1344, 610, 547, 1865, 519, 946, 540, 2892, 5390, 997, 3679, 593, 11396, 5225, 1205, 538, 3346, 609, 661, 583, 516, 2742, 256, 0, 763, 1966, 649, 616, 5466, 568, 519, 3668, 540, 10097, 543, 6325, 1591, 6049, 3028, 585, 1970, 4747, 2043, 543, 3885, 269, 901, 568, 513, 1966, 602, 5540, 6634, 540, 1004, 2066, 519, 2197, 267, 543, 621, 568, 3226, 14733, 538, 6917, 2127, 543, 4683, 7740, 609, 1164, 6710, 3928, 563, 12648, 585, 1383, 513, 2582, 3993, 609, 1079, 1453, 945, 2729, 538, 513, 1970, 13867, 8378, 269, 2701, 1568, 1279, 3108, 547, 1118, 7475, 2743, 543, 12346, 8185, 593, 1200, 1591, 6049, 547, 3251, 4448, 609, 1200, 1453, 267, 2828, 543, 1920, 269, 10251, 267, 1352, 3112, 6488, 7199, 10865, 1591, 6049, 11731, 543, 568, 1419, 7142, 547, 2759, 1394, 593, 824, 30304, 547, 1832, 1200, 6049, 3028, 3742, 269, 634, 1966, 568, 602, 1699, 1591, 6049, 4566, 616, 7199, 267, 543, 1970, 13867, 1004, 945, 991, 1591, 11436, 547, 3251, 4448, 609, 2486, 3112, 6488, 873, 563, 3725, 23428, 540, 519, 3390, 454, 763, 3390, 540, 10097, 543, 6325, 1591, 6049, 2533, 568, 540, 25932, 2956, 538, 2221, 779, 2486, 269, 2060, 519, 3395, 13829, 593, 2029, 267, 1569, 547, 1591, 11436, 814, 1831, 2629, 585, 2792, 267, 2069, 543, 7694, 3255, 269, 8409, 945, 3112, 6488, 513, 5985, 6049, 610, 6325, 3028, 616, 5051, 27797, 538, 741, 2123, 543, 3318, 2729, 269, 901, 3390, 568, 3810, 4143, 607, 621, 568, 513, 2339, 540, 9698, 267, 1514, 5126, 543, 2804, 4316, 4586, 14483, 3070, 547, 519, 1966, 454, 25387, 267, 972, 616, 2229, 17898, 29107, 3292, 602, 1683, 1863, 1591, 11436, 547, 1970, 13867, 3885, 269, 1717, 267, 891, 3292, 1419, 2097, 609, 9993, 267, 971, 607, 3908, 2911, 942, 543, 1239, 6165, 269, 5047, 267, 789, 1152, 3382, 513, 1507, 851, 540, 519, 2551, 269, 1703, 616, 849, 3341, 4660, 1591, 6049, 4566, 602, 2709, 1970, 21057, 3681, 267, 855, 891, 666, 1869, 581, 796, 3530, 27522, 585, 1346, 2713, 538, 6710, 543, 1810, 1406, 1683, 519, 10727, 543, 2298, 540, 3028, 602, 2757, 6049, 4566, 798, 269, 1547, 7351, 3435, 616, 16283, 610, 796, 3530, 27522, 585, 1082, 1970, 13867, 2043, 543, 3885, 4586, 3963, 1281, 519, 1966, 2291, 888, 763, 1966, 540, 3908, 1569, 547, 10097, 543, 6325, 1591, 6049, 2533, 6818, 585, 1896, 4128, 269, 2290, 2601, 568, 602, 519, 26313, 2872, 568, 3810, 13671, 267, 609, 513, 1906, 1804, 3549, 2531, 3215, 519, 2344, 269, 901, 3668, 540, 6735, 5012, 547, 1164, 5777, 543, 3908, 3681, 585, 6800, 269, 6271, 2601, 568, 602, 519, 2229, 814, 711, 2944, 2614, 547, 10038, 519, 2872, 543, 2327, 602, 782, 4892, 723, 1569, 547, 1898, 2533, 269, 7053, 267, 972, 568, 849, 513, 3668, 540, 4656, 543, 1620, 540, 519, 2956, 540, 1569, 547, 5985, 11436, 267, 799, 10419, 340, 919, 519, 1966, 269, 634, 1966, 6818, 1813, 547, 2344, 5834, 267, 13385, 7939, 267, 543, 3668, 540, 1620, 540, 519, 2956, 540, 1591, 11436, 607, 513, 2596, 13766, 540, 1272, 4586, 11405, 1315, 1871, 20790, 454, 1103, 938, 1591, 6049, 4558, 649, 4194, 519, 1966, 540, 4466, 519, 1318, 6049, 609, 519, 1655, 1544, 3514, 269, 1284, 2709, 513, 2647, 2039, 540, 16389, 689, 1114, 12478, 693, 519, 1034, 8013, 5777, 269, 3776, 4558, 2488, 11108, 2533, 609, 938, 8036, 5234, 945, 616, 2141, 4712, 547, 948, 2824, 519, 1655, 5078, 6049, 543, 1544, 547, 2743, 519, 6075, 779, 2115, 269, 1284, 2709, 1312, 2168, 543, 3059, 19269, 267, 1818, 721, 3015, 547, 3025, 563, 5978, 3070, 711, 1152, 13515, 4466, 519, 1655, 11436, 543, 4566, 267, 855, 849, 11498, 547, 1310, 1606, 2297, 2533, 269, 1284, 1683, 6049, 7816, 2533, 609, 938, 14468, 543, 4810, 23390, 585, 1312, 8800, 543, 3301, 3435, 269, 1284, 849, 10950, 22010, 543, 4123, 4507, 267, 5329, 938, 5561, 909, 547, 4266, 609, 519, 5767, 2029, 3466, 563, 5978, 2039, 540, 6049, 17960, 543, 6227, 568, 2034, 547, 9039, 267, 23695, 547, 1169, 1826, 540, 6049, 2139, 593, 519, 2344, 269, 1284, 1174, 602, 1142, 7817, 814, 2189, 2115, 267, 799, 568, 1946, 649, 1683, 10531, 2533, 609, 7840, 9935, 269, 1284, 1683, 938, 5561, 609, 606, 11108, 10918, 1995, 267, 4180, 476, 1911, 260, 9547, 1256, 1310, 6718, 563, 5475, 1210, 938, 3070, 267, 519, 6075, 786, 1995, 513, 1713, 6454, 538, 519, 32636, 540, 741, 5985, 3457, 269, 3776, 2533, 2743, 519, 2115, 540, 1142, 7817, 609, 606, 3773, 5905, 540, 10531, 3007, 269, 3776, 835, 3613, 641, 6879, 641, 585, 782, 6049, 1644, 2152, 267, 1519, 7816, 2533, 267, 18175, 10232, 267, 15377, 543, 1569, 528, 1944, 267, 5036, 721, 6306, 689, 519, 6735, 563, 5978, 3070, 568, 11108, 1317, 621, 3091, 513, 31484, 548, 6954, 10918, 1995, 609, 519, 1655, 2009, 3928, 267, 11108, 6075, 3028, 543, 1283, 27677, 577, 1310, 1606, 2297, 2533, 269, 1284, 711, 1152, 2743, 267, 855, 9765, 938, 5561, 685, 6788, 267, 6028, 873, 6126, 543, 13854, 609, 741, 16306, 689, 938, 4558, 563, 268, 6496, 713, 2731, 4194, 519, 1966, 5941, 286, 1107, 8786, 267, 938, 3070, 2488, 513, 835, 3613, 641, 6879, 641, 585, 782, 6049, 5829, 2152, 267, 1818, 519, 1184, 540, 9140, 543, 28472, 11436, 31484, 548, 6954, 563, 268, 1772, 519, 3070, 865, 1434, 602, 519, 6075, 786, 798, 4376, 547, 1205, 621, 286, 1107, 8786, 267, 938, 10531, 2533, 543, 14222, 1310, 1606, 2297, 2533, 10018, 476, 1911, 260, 6075, 9547, 267, 799, 814, 3366, 5561, 547, 3442, 721, 1657, 824, 8637, 563, 268, 1215, 786, 519, 6075, 1745, 1310, 1210, 519, 3070, 286, 1107, 634, 6075, 786, 1745, 13854, 543, 1543, 267, 8746, 538, 741, 6718, 543, 519, 2533, 3177, 563, 268, 1772, 519, 3070, 5863, 286, 1107, 25999, 267, 938, 4558, 2488, 513, 2347, 10189, 585, 782, 6049, 1644, 2152, 267, 1818, 621, 606, 14222, 3070, 538, 519, 2344, 563, 2690, 938, 1591, 6049, 4558, 267, 519, 2698, 2450, 540, 519, 2232, 762, 2344, 568, 1271, 269, 4340, 547, 2487, 2090, 267, 519, 2518, 5985, 6049, 2344, 2450, 729, 12595, 693, 1547, 10463, 2558, 11669, 538, 476, 1708, 271, 543, 568, 15810, 547, 3914, 1547, 5379, 2558, 11669, 676, 476, 1708, 277, 563, 5978, 2344, 9619, 568, 5631, 1500, 909, 540, 7085, 3317, 10118, 543, 2637, 2098, 2551, 538, 4683, 2127, 269, 1452, 5561, 616, 5260, 11803, 543, 3747, 1164, 15134, 16389, 609, 3728, 4950, 14479, 543, 1279, 6007, 1272, 269, 1358, 616, 4712, 547, 6108, 513, 9645, 2179, 540, 2724, 585, 519, 5767, 6639, 19269, 543, 17960, 563, 28275, 513, 1870, 538, 713, 2344, 568, 513, 1434, 2856, 1813, 547, 519, 3395, 3747, 585, 16389, 267, 14342, 267, 543, 824, 5985, 3457, 269, 4340, 547, 6465, 16695, 267, 519, 1297, 540, 16335, 3755, 5001, 568, 4397, 547, 3914, 476, 274, 269, 279, 5479, 676, 476, 1708, 272, 269, 901, 2208, 568, 23185, 676, 2188, 971, 607, 519, 3395, 8560, 540, 1514, 2923, 267, 18297, 2533, 543, 552, 19645, 563, 763, 5985, 6049, 2344, 568, 3384, 6385, 267, 1007, 543, 5499, 3631, 616, 5950, 4749, 269, 634, 6521, 689, 2757, 3457, 547, 16389, 814, 1044, 11141, 267, 609, 811, 1004, 1904, 532, 585, 2934, 593, 2834, 11436, 563, 1103, 2474, 540, 6075, 18515, 547, 2628, 267, 649, 723, 4857, 1079, 1292, 12415, 281, 1164, 15134, 5561, 543, 6578, 23655, 5561, 269, 4400, 15134, 5561, 616, 8348, 547, 2628, 14167, 5777, 585, 519, 5767, 3631, 543, 17960, 267, 1247, 6578, 23655, 5561, 616, 3168, 585, 10097, 3681, 609, 8766, 2934, 563, 2414, 19472, 713, 2344, 267, 649, 5342, 2344, 1382, 676, 7421, 6075, 2623, 267, 15712, 267, 543, 2872, 3466, 269, 3776, 2079, 814, 3254, 602, 972, 568, 513, 1713, 4316, 547, 7001, 2344, 2671, 538, 713, 2872, 563, 268, 634, 2518, 5985, 6049, 2344, 2450, 729, 12595, 693, 1547, 10463, 18265, 538, 476, 1708, 271, 563, 268, 634, 1297, 540, 16335, 3755, 5001, 568, 4397, 547, 3914, 476, 274, 269, 279, 5479, 676, 476, 1708, 272, 563, 268, 3776, 2344, 9619, 5097, 5161, 540, 7085, 3317, 10118, 543, 19087, 2098, 538, 4683, 2127, 563, 268, 634, 5985, 6049, 2344, 568, 3384, 6385, 267, 1007, 543, 5499, 3631, 616, 5950, 4749, 563, 268, 4400, 15134, 5561, 543, 6578, 23655, 5561, 616, 8348, 547, 2628, 585, 16389, 563, 5978, 1591, 6049, 4558, 13333, 593, 513, 1463, 3562, 15926, 10179, 2203, 267, 9513, 513, 3099, 540, 1591, 6049, 2472, 267, 17960, 543, 2533, 547, 938, 5561, 269, 1284, 723, 1079, 3119, 2959, 540, 8907, 281, 6455, 543, 18203, 563, 5978, 4558, 11438, 513, 2039, 540, 1591, 6049, 2472, 689, 1585, 12478, 267, 1519, 519, 5767, 3631, 267, 14468, 840, 24804, 11436, 543, 6578, 3681, 269, 1284, 849, 6133, 513, 3099, 540, 17960, 267, 971, 607, 2665, 267, 5056, 619, 267, 543, 5496, 2149, 832, 269, 3776, 6455, 4640, 568, 547, 2709, 8013, 5777, 3379, 547, 824, 21625, 543, 2228, 8637, 267, 1247, 26724, 6075, 1995, 543, 9547, 563, 268, 1284, 1544, 547, 5352, 8907, 689, 938, 3309, 1899, 540, 1591, 6049, 2472, 267, 17960, 543, 2533, 267, 609, 606, 4397, 1101, 1032, 8907, 540, 476, 271, 267, 1822, 563, 268, 3776, 1591, 6049, 1587, 6455, 616, 4397, 547, 581, 938, 1292, 8907, 11718, 267, 8051, 585, 476, 3199, 260, 540, 938, 2698, 8907, 563, 1103, 1840, 547, 6455, 267, 649, 2709, 5985, 6049, 7816, 2533, 585, 938, 5561, 269, 3776, 7816, 2533, 1331, 5496, 5372, 906, 267, 6007, 5372, 906, 267, 1216, 3441, 18203, 267, 543, 811, 269, 1284, 849, 2709, 1863, 10368, 2533, 267, 3246, 5561, 609, 513, 2312, 1620, 540, 519, 1966, 1354, 1022, 18203, 616, 1500, 563, 268, 1284, 2503, 547, 5352, 8907, 689, 938, 7816, 2533, 267, 8204, 476, 736, 260, 540, 938, 2698, 8907, 563, 268, 3962, 7816, 3028, 786, 581, 9901, 1759, 593, 519, 1826, 540, 6049, 543, 519, 1808, 7816, 2877, 267, 8151, 689, 547, 476, 271, 563, 14454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31055, 281, 901, 2882, 3790, 30309, 538, 5009, 513, 1870, 267, 971, 607, 1820, 10229, 267, 2228, 10229, 267, 543, 1857, 1894, 563, 268, 2961, 9276, 281, 901, 2882, 519, 1942, 540, 5665, 513, 1286, 585, 1870, 5301, 267, 971, 607, 3154, 267, 18203, 267, 543, 6142, 563, 268, 3493, 21090, 281, 901, 568, 519, 16795, 6175, 538, 519, 1871, 540, 606, 10697, 936, 942, 269, 24371, 666, 20952, 28595, 593, 7221, 602, 789, 946, 538, 741, 1870, 563, 268, 16811, 23934, 281, 901, 2882, 519, 1942, 540, 10519, 532, 3937, 585, 1870, 5301, 267, 971, 607, 5904, 267, 23252, 267, 543, 2645, 563, 268, 13751, 543, 8051, 12375, 281, 901, 2882, 519, 1942, 540, 17849, 17864, 543, 2272, 1218, 547, 1683, 2533, 547, 513, 1870, 563, 268, 2725, 1023, 543, 9913, 281, 901, 2882, 519, 1942, 540, 6980, 543, 9913, 602, 616, 30309, 538, 519, 1576, 540, 10647, 1870, 563, 268, 8433, 7727, 281, 901, 2882, 519, 1942, 540, 7727, 602, 616, 1031, 538, 519, 5604, 267, 971, 607, 1957, 267, 23445, 267, 543, 25411, 1255, 563, 268, 681, 550, 281, 901, 2882, 519, 1942, 540, 10519, 532, 513, 2679, 610, 2230, 585, 1870, 5301, 563, 268, 6428, 2456, 543, 13848, 281, 901, 2882, 519, 1942, 540, 9878, 5520, 585, 741, 960, 563, 268, 7780, 1988, 281, 901, 2882, 519, 1942, 540, 20848, 267, 971, 607, 5201, 267, 3154, 267, 543, 1216, 267, 602, 616, 1031, 538, 519, 1870, 563, 2414, 581, 20952, 1043, 267, 513, 1870, 13258, 1590, 581, 912, 268, 18103, 2435, 543, 2556, 281, 901, 1797, 602, 519, 13258, 568, 1455, 543, 7608, 538, 519, 1870, 2146, 543, 602, 621, 568, 2556, 585, 519, 1870, 547, 7500, 563, 268, 6034, 569, 1644, 547, 519, 1870, 281, 901, 1797, 602, 519, 13258, 568, 30309, 538, 4276, 609, 519, 1870, 543, 602, 621, 568, 711, 513, 2123, 13258, 563, 268, 11657, 566, 281, 634, 1870, 1590, 1832, 5638, 547, 1489, 519, 17429, 794, 540, 1022, 13258, 269, 901, 2882, 2256, 328, 14186, 267, 1045, 7860, 267, 543, 824, 12319, 602, 2982, 519, 2179, 540, 519, 13258, 543, 519, 4266, 621, 729, 30309, 563, 19968, 525, 666, 20952, 9276, 593, 741, 3454, 7024, 547, 2569, 519, 2179, 540, 3454, 602, 789, 28297, 269, 634, 2179, 540, 519, 17429, 794, 786, 4096, 593, 519, 1826, 540, 13258, 543, 519, 1870, 779, 4747, 563, 2080, 616, 930, 3606, 4388, 585, 19101, 1870, 9276, 912, 268, 5901, 1434, 5638, 281, 634, 594, 11965, 3340, 4213, 547, 1832, 5638, 547, 1489, 741, 17429, 2388, 269, 901, 2882, 2256, 328, 14186, 267, 1045, 7860, 267, 543, 824, 12319, 602, 2982, 519, 2179, 540, 519, 13258, 543, 519, 4266, 621, 729, 30309, 563, 268, 2142, 6896, 281, 898, 568, 1271, 547, 581, 6896, 950, 19101, 1870, 9276, 269, 901, 786, 948, 596, 547, 1832, 3950, 540, 707, 9276, 543, 547, 1118, 2386, 602, 596, 616, 19101, 782, 540, 519, 17429, 2388, 602, 596, 616, 13886, 547, 563, 268, 13185, 547, 513, 3454, 25129, 281, 1403, 596, 723, 1022, 2055, 827, 19101, 1870, 9276, 267, 621, 568, 513, 1434, 2856, 547, 2911, 547, 513, 3454, 25129, 269, 1358, 666, 948, 596, 547, 1174, 519, 3454, 4031, 543, 547, 1118, 2386, 602, 596, 616, 19101, 782, 540, 519, 17429, 2388, 602, 596, 616, 13886, 547, 563, 3528, 1739, 891, 4388, 267, 596, 666, 1118, 2386, 602, 596, 616, 19101, 782, 540, 519, 1870, 9276, 602, 596, 616, 13886, 547, 543, 602, 596, 616, 10893, 707, 3454, 15668, 563, 2080, 616, 930, 1455, 1870, 9276, 602, 616, 711, 20952, 1043, 912, 268, 674, 1149, 543, 20507, 281, 901, 2882, 22717, 543, 20507, 602, 616, 13684, 676, 519, 2229, 267, 971, 607, 6808, 17914, 543, 18736, 17914, 563, 268, 717, 22284, 281, 901, 2882, 13344, 602, 616, 2016, 547, 7218, 610, 5561, 267, 8259, 789, 616, 30572, 3688, 602, 616, 2016, 2476, 693, 1100, 5279, 563, 268, 5851, 5604, 9276, 281, 901, 2882, 9276, 602, 616, 30309, 585, 513, 1753, 5604, 602, 568, 1031, 585, 1870, 5301, 267, 971, 607, 513, 6712, 540, 519, 20251, 1719, 543, 3959, 9204, 563, 268, 6764, 1515, 618, 5829, 9276, 281, 901, 2882, 9276, 602, 616, 30309, 607, 513, 1267, 540, 513, 9659, 267, 971, 607, 2564, 9276, 543, 6283, 9276, 563, 268, 9314, 593, 12029, 281, 901, 2882, 1719, 602, 568, 6976, 593, 12029, 602, 616, 1031, 585, 2123, 5301, 267, 971, 607, 513, 1286, 10211, 610, 513, 20251, 563, 268, 9608, 9276, 281, 901, 2882, 9276, 602, 616, 711, 1644, 547, 519, 1870, 267, 971, 607, 1426, 267, 7802, 267, 543, 9913, 563, 2005, 568, 1271, 547, 4063, 602, 713, 568, 711, 606, 29882, 1592, 540, 782, 540, 519, 9276, 602, 616, 711, 20952, 1043, 269, 1403, 596, 616, 18516, 2436, 606, 13258, 568, 20952, 1043, 267, 621, 568, 1655, 547, 5077, 609, 513, 3454, 25129, 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 ]
[ 713, 9159, 7328, 269, 6787, 4767, 689, 519, 521, 573, 3894, 610, 4810, 20250, 593, 519, 2361, 267, 1135, 334, 3762, 606, 30170, 12705, 267, 13830, 519, 12271, 540, 1346, 6537, 547, 922, 2189, 11100, 540, 30483, 543, 10761, 563, 11902, 17988, 19484, 519, 2717, 334, 23721, 454, 304, 272, 1215, 1279, 568, 513, 3044, 1135, 334, 6474, 888, 288, 3044, 1135, 334, 6474, 13408, 2185, 547, 3670, 669, 4157, 24329, 267, 1142, 9434, 476, 278, 3764, 269, 1452, 5712, 267, 5309, 9822, 730, 676, 9397, 267, 13686, 519, 16608, 543, 4640, 2838, 585, 519, 3014, 563, 304, 273, 2052, 4896, 1404, 1135, 334, 267, 610, 568, 621, 12600, 547, 1978, 2516, 888, 4407, 13840, 2404, 609, 16918, 10580, 267, 1082, 1135, 334, 15731, 5001, 2709, 8537, 3292, 269, 30488, 666, 1569, 4245, 543, 2606, 7886, 267, 1818, 1135, 334, 3015, 547, 513, 6626, 5304, 563, 304, 274, 3657, 1135, 334, 533, 23888, 513, 1808, 9742, 267, 610, 666, 1022, 7504, 581, 8036, 585, 1135, 334, 888, 21691, 334, 533, 23888, 616, 513, 7463, 9742, 267, 1419, 513, 3575, 540, 9488, 321, 1042, 543, 2199, 14981, 269, 2755, 824, 14981, 666, 581, 8036, 267, 519, 1808, 7569, 540, 1135, 334, 1419, 3870, 9640, 26870, 585, 519, 7328, 563, 304, 275, 1772, 1135, 334, 513, 5906, 7328, 888, 12024, 1022, 1226, 652, 6929, 2534, 267, 1135, 334, 11438, 7915, 4220, 269, 1717, 267, 609, 1697, 2866, 267, 15984, 547, 3106, 10873, 267, 543, 1134, 0, 290, 2314, 543, 4325, 548, 6139, 916, 589, 32001, 883, 4653, 779, 13985, 28875, 543, 12815, 1849, 23660, 454, 290, 1511, 543, 4325, 548, 582, 1335, 19725, 595, 2314, 666, 1106, 950, 5594, 15755, 1216, 4744, 11510, 513, 19729, 4224, 267, 971, 607, 14680, 269, 4826, 602, 24865, 607, 11811, 666, 30620, 883, 513, 13946, 267, 9561, 15702, 3327, 8166, 547, 519, 13946, 2011, 269, 901, 3029, 513, 30305, 16005, 267, 1572, 513, 884, 548, 582, 1335, 267, 2356, 7768, 540, 519, 7777, 18287, 924, 630, 25519, 4596, 274, 1040, 1306, 789, 1332, 630, 20200, 1227, 1447, 982, 835, 4627, 628, 540, 606, 10759, 829, 1032, 1070, 884, 548, 6139, 916, 31391, 513, 1686, 540, 519, 13946, 543, 540, 2825, 2175, 693, 519, 2627, 269, 19232, 16438, 1493, 3194, 853, 531, 698, 2466, 525, 616, 519, 2186, 540, 884, 548, 582, 1335, 602, 9428, 16057, 689, 519, 6989, 540, 513, 13946, 269, 1358, 666, 8362, 1332, 585, 7366, 540, 5215, 540, 1296, 269, 634, 3337, 543, 3114, 5888, 540, 513, 26106, 698, 332, 924, 5673, 538, 851, 593, 519, 2825, 2175, 1657, 513, 13946, 630, 324, 3052, 269, 2837, 267, 11811, 267, 543, 10664, 1826, 1040, 2776, 322, 1047, 6482, 540, 513, 2208, 4494, 689, 513, 26106, 698, 332, 924, 585, 24745, 602, 9178, 936, 942, 267, 971, 607, 3327, 268, 1691, 267, 20879, 268, 24487, 267, 543, 5247, 1756, 268, 15996, 267, 1450, 585, 519, 2085, 540, 602, 2208, 4494, 547, 581, 7229, 269, 1452, 7403, 2154, 1507, 5439, 540, 519, 26106, 698, 332, 924, 18287, 924, 547, 581, 13939, 267, 2901, 676, 606, 12747, 30562, 650, 610, 676, 5959, 16590, 543, 513, 11001, 609, 513, 1360, 11931, 1688, 269, 589, 26106, 698, 332, 924, 3444, 16687, 267, 25541, 585, 20879, 267, 5247, 1756, 267, 543, 824, 24745, 267, 666, 581, 2938, 593, 519, 1318, 269, 19371, 10824, 267, 5116, 593, 1283, 540, 8362, 3395, 26106, 698, 2466, 525, 585, 513, 3923, 693, 513, 942, 630, 16308, 2630, 1070, 1450, 721, 547, 20586, 543, 17048, 2110, 11996, 540, 18287, 924, 2208, 538, 513, 13946, 269, 901, 2337, 2520, 657, 2615, 1235, 3313, 875, 2242, 693, 519, 2627, 616, 10630, 538, 519, 2208, 543, 5888, 540, 26106, 698, 2466, 525, 269, 4325, 548, 582, 1335, 12618, 454, 288, 26106, 716, 924, 568, 513, 2186, 540, 884, 548, 582, 1335, 602, 9428, 689, 519, 13946, 18109, 18746, 269, 590, 18649, 3613, 3863, 26106, 716, 2572, 616, 6094, 13740, 602, 1332, 18746, 607, 1216, 8928, 998, 741, 4099, 269, 1879, 513, 17366, 339, 540, 1216, 3338, 593, 513, 4396, 2627, 538, 519, 13946, 267, 2554, 23035, 540, 3327, 8166, 689, 519, 1216, 11479, 519, 2208, 540, 18287, 924, 16057, 538, 30305, 26106, 698, 2466, 525, 269, 16828, 267, 513, 12450, 949, 1831, 17808, 267, 16550, 1216, 547, 2095, 1524, 519, 3544, 540, 519, 14614, 12450, 269, 901, 3029, 513, 1826, 540, 26106, 716, 924, 1572, 513, 968, 8364, 8527, 1848, 3683, 942, 267, 519, 26106, 698, 332, 924, 786, 1332, 26339, 267, 607, 1007, 18287, 924, 568, 3773, 547, 519, 1283, 543, 5011, 540, 519, 5250, 269, 634, 3337, 540, 513, 26106, 698, 332, 924, 568, 8200, 593, 875, 2484, 519, 12772, 540, 1216, 2887, 689, 519, 13946, 18109, 267, 519, 2179, 540, 942, 1063, 5671, 1186, 267, 519, 30620, 1216, 779, 3114, 5888, 267, 543, 519, 5888, 540, 519, 13946, 2011, 269, 1306, 1216, 5170, 547, 2095, 267, 713, 31577, 786, 1831, 513, 1804, 26106, 716, 924, 267, 1134, 268, 576, 7757, 547, 519, 18109, 269, 1879, 513, 26106, 716, 924, 267, 3395, 1524, 2072, 267, 10742, 513, 26106, 698, 332, 924, 3395, 20733, 267, 789, 2253, 547, 1106, 513, 6241, 269, 589, 2759, 543, 25509, 6241, 630, 2431, 264, 5638, 513, 7294, 3308, 1686, 540, 713, 9769, 269, 2052, 596, 1294, 519, 1283, 540, 519, 26106, 698, 332, 924, 693, 519, 942, 519, 6241, 4646, 286, 2052, 596, 1294, 519, 10250, 540, 519, 3312, 14614, 12450, 693, 519, 4099, 540, 519, 26106, 716, 924, 286, 966, 611, 846, 610, 1912, 805, 545, 888, 9773, 322, 924, 666, 1332, 1657, 519, 1216, 3349, 630, 514, 519, 642, 611, 846, 7997, 264, 610, 2630, 519, 1216, 3349, 630, 514, 519, 943, 805, 545, 7997, 1040, 1548, 616, 519, 4162, 540, 1142, 286, 2353, 26106, 698, 2466, 525, 543, 26106, 716, 2572, 1106, 689, 5671, 6137, 1216, 538, 519, 642, 611, 846, 7997, 269, 968, 290, 1511, 1402, 25468, 2223, 2938, 2630, 543, 593, 519, 1951, 704, 344, 5250, 538, 519, 5580, 2451, 267, 1106, 538, 2127, 540, 519, 13946, 602, 10929, 21381, 1765, 18034, 1141, 2011, 568, 3001, 269, 1323, 11606, 540, 13946, 1402, 25468, 1522, 581, 513, 1129, 540, 513, 7404, 13675, 610, 1507, 8574, 3118, 256, 10261, 548, 6438, 1035, 7781, 14848, 630, 10964, 578, 264, 543, 18287, 924, 838, 541, 630, 2431, 264, 616, 2938, 3395, 538, 782, 8846, 267, 4761, 547, 519, 3310, 540, 8904, 269, 1452, 14848, 1152, 1332, 14015, 267, 538, 519, 943, 805, 545, 7997, 269, 17291, 1141, 642, 611, 846, 543, 943, 805, 545, 2934, 2049, 666, 948, 19586, 513, 3148, 779, 27230, 1686, 269, 6764, 739, 619, 256, 1452, 1079, 968, 560, 531, 698, 2466, 525, 892, 1705, 711, 1332, 538, 513, 13946, 269, 2274, 1136, 1216, 689, 513, 7404, 32446, 829, 3712, 730, 998, 519, 32446, 779, 9160, 5748, 269, 901, 694, 9429, 1216, 15702, 7513, 12547, 630, 25519, 302, 264, 689, 519, 9160, 267, 8108, 513, 1360, 22279, 7513, 28355, 630, 25519, 15121, 264, 3070, 269, 1879, 713, 1216, 5671, 5529, 883, 513, 25810, 4055, 2630, 519, 32446, 267, 621, 12842, 3327, 8166, 538, 519, 2011, 547, 1106, 891, 18287, 924, 21272, 269, 31158, 1578, 906, 1284, 1131, 899, 547, 9684, 519, 1739, 1004, 543, 3906, 585, 519, 7418, 602, 1500, 713, 8858, 2009, 281, 27347, 1117, 10466, 4972, 540, 634, 4975, 540, 21388, 267, 4826, 543, 7025, 3194, 4659, 540, 519, 5375, 623, 659, 604, 328, 12953, 322, 693, 519, 2160, 540, 2871, 600, 267, 7025, 3163, 4659, 540, 29031, 21388, 267, 589, 5746, 31173, 267, 18095, 6929, 7025, 269, 634, 5411, 267, 9946, 543, 5234, 693, 28740, 6611, 6970, 591, 333, 267, 7849, 15167, 6970, 591, 985, 267, 4639, 322, 1511, 3465, 2925, 267, 543, 29190, 9453, 513, 8745, 269, 5071, 543, 2257, 676, 2818, 540, 519, 14465, 1676, 3194, 6828, 269, 17461, 17421, 281, 7849, 15167, 6970, 591, 985, 267, 12253, 21634, 534, 267, 476, 1001, 276, 0, 763, 4417, 540, 1514, 2923, 814, 9927, 875, 1004, 2170, 543, 1921, 609, 1142, 824, 2228, 269, 15107, 13257, 899, 9365, 267, 12108, 267, 23749, 267, 543, 1082, 1866, 723, 1500, 621, 2009, 585, 3755, 2066, 519, 8608, 547, 2097, 1927, 267, 2671, 741, 4555, 267, 543, 1628, 2950, 1472, 8994, 4690, 610, 3123, 269, 1306, 1514, 2923, 5170, 547, 11753, 4514, 883, 2413, 1272, 267, 2228, 2950, 723, 1831, 513, 4105, 851, 540, 519, 3059, 5251, 563, 3719, 875, 4010, 798, 891, 1514, 2923, 2950, 8451, 543, 1491, 3337, 286, 1548, 4229, 5397, 741, 5250, 543, 2208, 286, 901, 2376, 786, 2263, 519, 1883, 2188, 543, 6384, 3238, 538, 519, 5137, 540, 14762, 1514, 2923, 2950, 563, 414, 501, 376, 634, 22547, 540, 4317, 9012, 18877, 454, 763, 1764, 540, 1514, 2923, 593, 2792, 267, 1870, 267, 6214, 543, 2528, 814, 1044, 5963, 7096, 269, 2060, 17542, 540, 3755, 2066, 5867, 899, 13334, 267, 17749, 267, 21912, 1103, 543, 28607, 27717, 267, 1514, 2923, 814, 4957, 519, 1360, 5958, 540, 2486, 676, 14123, 1007, 2081, 585, 1004, 547, 2170, 267, 2769, 2933, 543, 26595, 936, 3838, 18653, 610, 3853, 269, 27933, 560, 519, 26093, 1158, 540, 1514, 2923, 9114, 922, 1034, 10475, 21889, 910, 2228, 2950, 563, 12892, 2923, 2950, 3277, 547, 2516, 540, 1004, 945, 5781, 4497, 609, 1142, 824, 998, 1585, 1514, 2923, 5867, 1472, 513, 1455, 6249, 267, 1719, 610, 3483, 269, 1306, 1514, 2923, 6165, 1011, 10757, 538, 519, 476, 1220, 271, 338, 267, 621, 13087, 899, 16490, 2043, 547, 1265, 1142, 824, 2228, 543, 7249, 26021, 538, 5691, 5624, 1141, 789, 1223, 1489, 267, 1217, 543, 8300, 835, 1776, 269, 3245, 13395, 15908, 2516, 593, 9365, 547, 5001, 5322, 899, 1948, 14937, 299, 1161, 300, 2660, 8375, 547, 23146, 593, 12108, 267, 1514, 2923, 814, 10114, 3293, 519, 5250, 540, 7961, 10179, 762, 2228, 2950, 563, 19465, 513, 2631, 540, 2146, 543, 1480, 4276, 568, 4105, 267, 2523, 538, 2221, 781, 5051, 7857, 1242, 1158, 269, 4317, 2923, 2950, 1404, 513, 1883, 1909, 538, 16180, 713, 4909, 1480, 991, 585, 10362, 676, 8744, 1927, 1004, 945, 949, 6382, 2760, 3444, 10092, 269, 1635, 3246, 513, 2230, 1141, 3755, 666, 2671, 1702, 267, 5385, 2093, 267, 1205, 1489, 543, 1118, 6209, 4296, 1472, 741, 2127, 540, 1719, 267, 1514, 2923, 2950, 3136, 547, 2981, 519, 3059, 5251, 563, 272, 269, 634, 32010, 17086, 19992, 4317, 9012, 18877, 454, 288, 1297, 540, 2188, 18663, 543, 7520, 519, 5137, 540, 1514, 2923, 2950, 269, 4197, 891, 6117, 4229, 2488, 3407, 5813, 883, 875, 2228, 2950, 1491, 3337, 543, 8853, 563, 414, 508, 353, 32655, 9314, 338, 543, 20122, 9812, 454, 13349, 4690, 543, 12348, 1106, 519, 4493, 585, 9118, 30436, 1514, 2923, 2950, 269, 3245, 13395, 4690, 899, 32446, 23445, 543, 7344, 1883, 15236, 547, 2527, 18653, 899, 9413, 267, 5026, 543, 3381, 3756, 910, 3838, 4690, 26595, 1004, 2066, 519, 4950, 899, 4986, 3116, 563, 5522, 520, 13257, 899, 23749, 616, 3710, 7357, 1472, 1719, 2861, 2950, 1634, 607, 1016, 1042, 323, 1080, 269, 1280, 3236, 267, 678, 22077, 20667, 303, 839, 814, 936, 476, 4968, 267, 1822, 2818, 4687, 741, 2648, 585, 32446, 23445, 1247, 678, 270, 9288, 22817, 7659, 15236, 19646, 811, 982, 476, 8517, 267, 1822, 2818, 269, 6270, 2950, 1450, 12439, 547, 2620, 4685, 883, 741, 13395, 12348, 267, 1205, 5796, 689, 8284, 11655, 267, 13686, 13144, 543, 1265, 513, 2631, 540, 10362, 538, 519, 3059, 1158, 563, 4002, 513, 9962, 4336, 267, 5867, 899, 9365, 2516, 543, 13334, 9055, 10704, 1472, 2442, 12348, 2285, 6634, 540, 3755, 5624, 585, 6209, 4205, 609, 899, 16490, 2043, 269, 634, 2518, 18451, 18709, 540, 4690, 899, 13558, 267, 12202, 610, 17539, 5849, 602, 1514, 2923, 6087, 12439, 547, 16900, 1921, 543, 2671, 2066, 10923, 6302, 563, 414, 508, 353, 32655, 17644, 543, 1306, 2869, 725, 454, 4537, 1563, 3853, 267, 3123, 610, 17050, 616, 849, 30140, 3532, 15314, 585, 519, 5250, 540, 1514, 2923, 2950, 269, 6787, 621, 568, 5885, 12790, 2516, 267, 8165, 2916, 1689, 610, 5807, 2069, 910, 13730, 2043, 4749, 26595, 538, 5691, 5624, 547, 960, 2509, 513, 3838, 5075, 563, 763, 1948, 14937, 299, 1161, 300, 2660, 9365, 1895, 267, 585, 3236, 267, 814, 936, 476, 6110, 267, 1822, 2818, 25640, 3646, 543, 12180, 17933, 23518, 676, 519, 17604, 540, 513, 1455, 2014, 269, 6684, 267, 2228, 2916, 17933, 2950, 899, 6987, 8012, 31052 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 1483, 25251, 1004, 563, 278, 269, 1703, 616, 930, 25251, 2367, 610, 2021, 616, 1175, 2786, 610, 14447, 270, 956, 15487, 269, 634, 2601, 1946, 789, 1831, 25251, 568, 1317, 789, 1616, 547, 2263, 1018, 621, 779, 899, 547, 581, 835, 540, 873, 563, 279, 269, 1703, 616, 849, 930, 2786, 610, 14447, 270, 956, 15487, 609, 3006, 1265, 513, 7649, 540, 513, 1114, 4008, 547, 1152, 723, 513, 4638, 2078, 609, 563, 280, 269, 2368, 2786, 610, 14447, 270, 956, 15487, 917, 602, 789, 616, 1018, 789, 4857, 547, 581, 267, 855, 786, 723, 513, 7287, 585, 2348, 3023, 609, 1776, 4008, 269, 1717, 267, 930, 540, 873, 786, 2760, 1450, 2933, 547, 798, 621, 563, 1015, 269, 1280, 930, 2786, 2021, 267, 789, 949, 798, 8726, 547, 5225, 741, 5256, 7649, 267, 1519, 723, 3023, 609, 824, 2021, 267, 799, 2306, 873, 25251, 338, 563, 2467, 949, 723, 811, 2010, 540, 25251, 338, 267, 596, 1175, 991, 547, 581, 596, 543, 2661, 519, 1272, 596, 7287, 585, 269, 1635, 519, 1259, 267, 952, 596, 1616, 547, 1265, 811, 25251, 4891, 267, 25251, 6580, 4609, 949, 581, 519, 1655, 1747, 585, 596, 547, 979, 269, 0, 763, 13198, 345, 517, 26439, 545, 20211, 568, 513, 5832, 540, 22747, 538, 513, 5087, 1700, 338, 1926, 1899, 2066, 519, 13198, 345, 517, 26463, 689, 15990, 547, 13198, 345, 517, 269, 634, 2012, 834, 299, 15120, 517, 26439, 545, 20211, 257, 729, 1101, 6069, 676, 14161, 14332, 514, 1696, 620, 269, 547, 4766, 513, 3126, 540, 21007, 18152, 547, 2487, 22747, 1813, 547, 7532, 1189, 1016, 9134, 2059, 519, 2494, 10042, 570, 3402, 585, 5111, 476, 272, 267, 1220, 5998, 689, 519, 26066, 16186, 538, 15990, 5045, 547, 7013, 9650, 19660, 538, 519, 13372, 269, 11866, 602, 1106, 851, 540, 519, 9095, 616, 519, 8109, 26066, 16186, 540, 15990, 267, 5682, 6816, 267, 15990, 267, 2107, 577, 573, 6816, 267, 18087, 582, 2967, 9412, 267, 631, 822, 644, 529, 610, 962, 262, 9564, 6816, 267, 631, 629, 644, 529, 267, 13961, 18885, 6816, 267, 898, 321, 599, 520, 6816, 267, 4144, 690, 334, 6816, 267, 15506, 534, 6816, 267, 1133, 24887, 18962, 25592, 7795, 657, 267, 17939, 339, 836, 6816, 267, 9040, 8500, 534, 267, 9894, 545, 553, 267, 6682, 580, 340, 514, 6816, 269, 2311, 519, 5045, 1439, 621, 2165, 7149, 593, 13198, 345, 517, 269, 634, 2520, 17190, 540, 513, 1297, 540, 22747, 2059, 519, 9095, 723, 1044, 6027, 269, 1703, 616, 2947, 3982, 2520, 12950, 11890, 1369, 519, 9095, 630, 21790, 19660, 267, 645, 1092, 534, 267, 8832, 13198, 345, 517, 267, 9040, 8500, 534, 267, 543, 15990, 1040, 634, 2520, 17190, 540, 519, 12415, 20240, 602, 519, 22747, 616, 782, 1016, 9134, 1644, 630, 324, 3052, 1421, 2178, 562, 328, 984, 1756, 22114, 543, 18287, 268, 1779, 13824, 4162, 1040, 1772, 582, 8554, 543, 10250, 2609, 1397, 2189, 2520, 12950, 4162, 538, 519, 5087, 269, 2983, 12950, 7648, 5087, 1189, 630, 289, 629, 8500, 534, 10126, 264, 941, 1813, 547, 519, 1016, 9134, 540, 21439, 6508, 689, 519, 11761, 540, 18626, 12933, 689, 3624, 543, 15990, 563, 2467, 568, 513, 3982, 2333, 538, 1193, 2632, 1756, 13666, 8084, 12753, 609, 20173, 5087, 1189, 269, 901, 7028, 519, 28756, 675, 602, 519, 7648, 941, 1813, 547, 606, 2810, 834, 322, 6412, 531, 257, 5057, 538, 1016, 2265, 539, 21439, 607, 519, 18626, 7161, 538, 519, 5087, 941, 14059, 630, 19770, 543, 15990, 1040, 634, 11159, 11098, 525, 2799, 4724, 519, 5087, 2059, 519, 29503, 563, 763, 2520, 17190, 543, 29684, 4259, 540, 519, 7013, 13198, 345, 517, 9095, 814, 1044, 6594, 538, 1469, 269, 634, 2520, 17190, 6700, 602, 18626, 12933, 630, 22238, 2406, 689, 21439, 264, 5129, 606, 1271, 1909, 538, 519, 5839, 565, 617, 23725, 528, 543, 519, 9650, 19660, 12415, 269, 595, 6412, 531, 16580, 1185, 7018, 538, 519, 5045, 1063, 519, 3345, 6022, 1177, 534, 5336, 785, 19660, 12933, 531, 3625, 543, 5310, 11159, 12526, 729, 6508, 689, 713, 3148, 269, 901, 6086, 28179, 16861, 2038, 24236, 543, 10250, 3693, 2090, 593, 519, 3844, 13198, 345, 517, 9095, 454, 10702, 960, 729, 2944, 593, 519, 7187, 13198, 345, 517, 9095, 676, 22413, 1069, 2714, 1696, 620, 269, 945, 1336, 9836, 7648, 538, 606, 25819, 540, 24745, 609, 20173, 711, 1152, 538, 519, 20662, 553, 9916, 936, 519, 476, 4335, 5998, 3296, 540, 519, 9095, 855, 849, 538, 21439, 2059, 519, 29503, 269, 634, 1152, 1259, 547, 2491, 519, 4234, 15994, 7648, 729, 998, 519, 1840, 540, 606, 2810, 3403, 540, 17512, 4246, 21439, 4724, 519, 18626, 4525, 538, 519, 5087, 3624, 543, 15990, 0, 294, 7517, 568, 519, 7887, 21677, 547, 8236, 4023, 7239, 267, 4515, 269, 11518, 9445, 590, 778, 338, 267, 7548, 543, 8689, 540, 519, 10418, 585, 12655, 4886, 693, 12052, 2160, 1767, 563, 306, 778, 338, 1767, 602, 519, 476, 10711, 271, 12655, 4886, 17644, 630, 16256, 19199, 264, 616, 968, 10472, 5108, 779, 1152, 4126, 585, 2870, 12560, 267, 2922, 267, 4023, 543, 4264, 7239, 3034, 14071, 723, 547, 1118, 873, 960, 2223, 646, 1767, 267, 855, 519, 7887, 21677, 568, 26846, 563, 11754, 7675, 519, 6167, 4400, 7400, 11572, 17072, 593, 12655, 4886, 267, 799, 786, 1491, 6006, 540, 3356, 593, 519, 12676, 19199, 543, 1439, 593, 5147, 476, 1240, 267, 590, 778, 338, 1767, 602, 968, 11004, 568, 2614, 538, 519, 1158, 585, 3025, 547, 2661, 1863, 540, 6710, 543, 621, 4465, 1406, 2154, 513, 2462, 4674, 593, 519, 851, 540, 2462, 2477, 547, 948, 4057, 3283, 3034, 3719, 642, 6479, 4690, 267, 1519, 3282, 3549, 543, 519, 1426, 6080, 267, 723, 1044, 5706, 532, 563, 303, 6974, 532, 21597, 7515, 3812, 676, 1010, 2319, 543, 519, 12655, 4886, 10298, 8416, 267, 646, 1767, 13785, 267, 693, 519, 1283, 540, 519, 1592, 267, 568, 14191, 547, 8236, 519, 3853, 267, 543, 602, 2342, 568, 968, 2421, 2484, 892, 519, 3148, 14191, 547, 3257, 865, 563, 11101, 267, 519, 1592, 540, 519, 1283, 476, 1015, 2477, 14191, 547, 8236, 519, 3853, 19141, 513, 14911, 20823, 540, 519, 1158, 779, 1838, 5006, 2477, 563, 17606, 568, 12777, 519, 5168, 602, 4264, 1646, 568, 519, 2619, 547, 8788, 2223, 646, 1767, 563, 1103, 4334, 267, 519, 772, 269, 590, 269, 568, 476, 3374, 628, 593, 519, 1592, 540, 2477, 14191, 547, 8236, 519, 3853, 543, 1152, 476, 1240, 538, 519, 8788, 31213, 563, 2108, 9617, 3843, 547, 581, 3638, 1281, 711, 1118, 596, 6126, 2223, 646, 1767, 269, 12655, 1646, 602, 568, 7059, 267, 4023, 267, 8537, 543, 13476, 4264, 568, 1018, 7472, 8788, 267, 646, 3773, 563, 763, 1838, 5006, 2477, 616, 519, 3283, 602, 3454, 2933, 519, 1034, 267, 646, 3773, 267, 15663, 602, 9527, 525, 1589, 621, 568, 513, 1434, 3364, 547, 2628, 3368, 741, 3084, 4747, 547, 2298, 2069, 543, 3782, 563, 763, 2136, 2276, 267, 593, 519, 824, 1688, 267, 568, 782, 827, 3454, 11912, 585, 3638, 1004, 269, 968, 2414, 3035, 4264, 1646, 267, 596, 723, 547, 2628, 585, 621, 2223, 646, 1767, 267, 4946, 602, 3454, 11912, 585, 519, 3638, 1810, 1406, 2628, 585, 4264, 1646, 563, 7343, 324, 2718, 547, 3025, 547, 20834, 1125, 2200, 547, 3035, 4264, 1646, 267, 646, 1767, 972, 1590, 581, 519, 2101, 7004, 538, 875, 2477, 960, 563, 7197, 1271, 568, 2298, 2069, 267, 4553, 676, 8471, 1569, 547, 1072, 1416, 267, 2973, 1648, 12462, 23719, 799, 519, 4541, 786, 581, 20739, 22486, 25257, 4264, 2244, 543, 1426, 267, 21273, 4872, 609, 22510, 5989, 267, 543, 1697, 946, 540, 3059, 4066, 563, 14071, 723, 547, 1491, 1416, 540, 6000, 269, 19227, 267, 649, 786, 6861, 6000, 2223, 646, 1767, 563, 10387, 3508, 2358, 602, 3638, 2477, 1223, 3362, 8804, 2518, 4264, 1646, 689, 741, 1378, 2200, 267, 646, 1767, 519, 1158, 779, 476, 273, 267, 21172, 5479, 320, 2231, 2443, 968, 9767, 666, 1413, 873, 909, 593, 1280, 15816, 12139, 2228, 892, 2443, 1223, 267, 676, 9878, 476, 272, 2600, 540, 741, 2121, 4502, 1142, 1032, 267, 2322, 1169, 1126, 538, 519, 1158, 538, 1153, 610, 10018, 1569, 547, 1072, 1416, 585, 3025, 563, 763, 3638, 1158, 814, 1082, 2959, 540, 8907, 543, 519, 6167, 1058, 979, 1310, 602, 8907, 267, 646, 1767, 267, 3981, 532, 513, 682, 11803, 593, 1164, 2121, 4502, 2043, 543, 3454, 532, 519, 476, 736, 18265, 772, 2529, 269, 9489, 4371, 538, 21369, 6589, 538, 513, 968, 339, 1314, 10093, 2895, 28396, 892, 2966, 676, 519, 772, 269, 590, 1421, 519, 5177, 543, 1866, 563, 307, 31320, 1058, 849, 581, 26550, 1221, 593, 519, 1158, 779, 2947, 7887, 2029, 3549, 267, 4502, 513, 5916, 476, 274, 269, 276, 18265, 9489, 543, 11981, 513, 2067, 26771, 267, 607, 1134, 607, 593, 2518, 2883, 8852, 563, 3891, 4682, 593, 547, 1289, 585, 519, 9962, 6388, 540, 3327, 9204, 543, 513, 11523, 6658, 593, 19856, 656, 3454, 859, 28913, 563, 763, 2832, 568, 547, 2327, 602, 1169, 1126, 814, 513, 2104, 563, 8448, 3772, 267, 646, 1767, 267, 968, 933, 1810, 1406, 723, 513, 2104, 3034, 763, 6167, 4400, 7400, 11572, 17072, 593, 12655, 4886, 568, 519, 1292, 6167, 3760, 593, 4264, 1646, 543, 621, 814, 513, 3844, 1909, 538, 519, 1246, 5346, 543, 2689, 540, 519, 476, 10711, 271, 3397, 12629, 585, 12655, 4886, 17644, 693, 519, 2518, 1377, 269, 0, 4467, 14658, 18963, 2986, 769, 615, 13330, 454, 3528, 17166, 1372, 324, 20958, 454, 1103, 769, 14814, 18067, 766, 267, 17252, 18952, 2207, 5444, 4625, 667, 6865, 2562, 2969, 2464, 835, 1776, 269, 1924, 2161, 596, 723, 513, 4414, 8768, 543, 513, 6519, 8768, 269, 1879, 891, 2097, 1927, 547, 1118, 1776, 8768, 267, 519, 2699, 543, 3043, 8768, 1118, 513, 623, 2562, 298, 8768, 269, 1358, 10416, 9192, 547, 1118, 519, 26737, 269, 5510, 338, 1440, 902, 602, 616, 670, 2678, 27340, 748, 1631, 723, 513, 26737, 538, 1063, 519, 4630, 27340, 748, 27586, 269, 0, 28237, 6609, 2985, 454, 23220, 7627, 9906, 19732, 1465, 2433, 15474, 10017, 3955, 6761, 538, 12140, 630, 26261, 3724, 264, 630, 4537, 27553, 631, 563, 10666, 713, 6221, 454, 294, 1037, 539, 538, 5969, 12967, 1382, 267, 713, 1433, 2982, 875, 7459, 13389, 14696, 267, 11587, 267, 1915, 9342, 267, 23904, 3206, 267, 4126, 267, 543, 2635, 3347, 666, 3565, 547, 4824, 4081, 543, 1514, 4093, 538, 9344, 476, 274, 268, 1321, 269, 898, 2488, 513, 476, 1015, 1606, 11970, 8261, 585, 5009, 16148, 1134, 5630, 734, 14814, 609, 12667, 2013, 1806, 734, 7474, 666, 581, 8045, 609, 2043, 267, 1507, 2516, 267, 610, 2898, 5049, 269, 11790, 602, 3589, 6107, 8788, 616, 5941, 267, 2963, 2861, 4879, 2645, 4843, 267, 543, 2081, 547, 4125, 3610, 543, 3237, 4330, 269, 769, 513, 1804, 20695, 3898, 609, 2482, 22286, 520, 11006, 585, 2653, 2584, 665, 641, 3539, 267, 519, 4320, 2882, 476, 2412, 10063, 24862, 1688, 8083, 543, 3029, 269, 623, 3420, 553, 619, 1205, 1569, 547, 513, 13959, 3896, 1141, 789, 666, 4647, 543, 1820, 891, 2326, 267, 7132, 2228, 26209, 535, 23474, 2638, 29812, 543, 2385, 543, 4116, 4967, 563, 10831, 540, 9664, 281, 476, 24129, 454, 7049, 516, 281, 10017, 267, 4065, 267, 4317, 3163, 454, 8138, 268, 7049, 516, 281, 4317, 4518, 267, 29960, 1315, 4937, 267, 31499, 1315, 4132, 1341, 32183, 454, 306, 7685, 7170, 281, 2871, 559, 5112, 19750, 27800, 538, 519, 12140, 454, 21812, 281, 2871, 559, 5112, 6583, 333, 454, 12041, 281, 1744, 27553, 631, 269, 590, 592, 4777, 454, 1805, 22901, 11261, 281, 5147, 476, 2420, 267, 476, 1001, 277, 454, 2005, 655, 7089, 630, 7894, 5746, 2567, 476, 27886, 268, 2641, 268, 274, 4200, 278, 0, 291, 28233, 5718, 4245, 585, 1870, 3401, 454, 4962, 5181, 476, 1001, 279, 454, 268, 667, 28233, 2982, 13461, 593, 835, 1883, 4222, 666, 1291, 547, 513, 31774, 454, 268, 5125, 781, 835, 1390, 8396, 2702, 729, 3144, 2476, 543, 3366, 547, 14710, 454, 268, 27469, 3576, 513, 11455, 1935, 547, 2112, 1818, 873, 811, 7347, 454, 268, 634, 2257, 540, 2698, 2112, 17204, 519, 13303, 781, 2528, 540, 8396, 454, 19968, 3401, 666, 1451, 513, 2603, 827, 5718, 689, 519, 2833, 11402, 538, 519, 5822, 2622, 2782, 2687, 547, 1382, 676, 3223, 603, 6182, 842, 563, 23178, 6182, 842, 8268, 519, 1034, 1950, 476, 2190, 16923, 5106, 2479, 13986, 538, 513, 1957, 547, 1665, 519, 476, 3583, 628 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 1373, 8800, 267, 10189, 610, 875, 513, 6161, 13333, 269, 12676, 9448, 568, 1031, 547, 6813, 519, 5650, 585, 14335, 606, 1344, 1062, 538, 513, 11295, 543, 9266, 6073, 269, 901, 568, 7363, 1031, 676, 1062, 2079, 945, 786, 1382, 883, 1699, 6009, 543, 7569, 799, 1058, 2479, 581, 540, 513, 1164, 2298, 5870, 610, 10489, 2056, 7817, 2048, 338, 19773, 338, 6902, 6192, 1369, 17157, 1899, 267, 6578, 8815, 543, 1058, 960, 3759, 659, 13124, 543, 11880, 527, 13124, 538, 519, 1699, 610, 9709, 2655, 4450, 269, 1403, 621, 1281, 1875, 2196, 883, 782, 891, 7569, 865, 621, 568, 1034, 2693, 513, 3653, 540, 2200, 267, 17157, 543, 2724, 1671, 5224, 538, 606, 2907, 2813, 1344, 1062, 563, 3682, 339, 19685, 568, 513, 1907, 799, 568, 1031, 1282, 519, 1646, 540, 1949, 543, 621, 2636, 9367, 547, 1118, 4693, 7811, 6589, 540, 519, 1062, 971, 607, 519, 8818, 799, 1281, 562, 1406, 960, 269, 901, 2636, 519, 9367, 547, 10536, 513, 1745, 540, 875, 519, 3498, 5654, 543, 1294, 952, 519, 1062, 568, 10707, 547, 9585, 922, 4397, 1374, 8247, 630, 1007, 1949, 723, 6397, 6009, 543, 713, 2337, 547, 1491, 891, 6009, 3738, 4586, 288, 6165, 3236, 7811, 2272, 666, 581, 1031, 676, 9367, 547, 948, 873, 538, 1818, 519, 524, 913, 1540, 1062, 269, 901, 13995, 2636, 519, 17354, 547, 1294, 875, 1114, 3755, 786, 2170, 609, 513, 1062, 676, 519, 8041, 540, 12222, 269, 901, 3947, 873, 606, 2219, 540, 875, 519, 1062, 568, 1031, 682, 1154, 873, 547, 2097, 593, 5196, 1818, 519, 1062, 9001, 3177, 13995, 630, 9367, 1058, 581, 2111, 547, 1118, 513, 1062, 9001, 782, 693, 602, 1747, 3177, 13995, 609, 5934, 4430, 3403, 3738, 4586, 20663, 267, 4702, 267, 8800, 543, 10189, 616, 2479, 19249, 609, 10841, 757, 547, 1699, 11653, 902, 267, 1646, 540, 1007, 11653, 902, 543, 14486, 540, 2025, 4702, 269, 589, 2754, 2115, 547, 2611, 538, 4395, 540, 922, 30347, 952, 789, 616, 581, 1310, 532, 593, 9513, 741, 2533, 610, 23335, 2478, 865, 789, 991, 547, 3180, 740, 30794, 4702, 547, 1118, 713, 11880, 527, 13124, 543, 6385, 607, 2009, 267, 15029, 1875, 536, 532, 538, 519, 1279, 512, 958, 563, 1607, 568, 1946, 3549, 946, 971, 2645, 607, 513, 1062, 1646, 1272, 11733, 267, 1486, 19685, 543, 8415, 3236, 7811, 2272, 538, 1931, 547, 1382, 883, 891, 1007, 11653, 902, 547, 1265, 952, 789, 616, 20019, 2009, 267, 964, 6326, 10380, 543, 1034, 3648, 10707, 547, 2333, 1857, 6881, 543, 4398, 563, 273, 3590, 4886, 5020, 18888, 454, 763, 1949, 1646, 1272, 11733, 630, 12676, 9448, 3738, 16310, 1634, 607, 10189, 1646, 1272, 11733, 568, 513, 4480, 1031, 1369, 1949, 2029, 543, 10189, 2029, 269, 898, 568, 513, 1826, 540, 27696, 2079, 1031, 547, 6813, 519, 5650, 585, 14335, 606, 1344, 1062, 538, 513, 20982, 267, 11295, 543, 1505, 673, 6073, 556, 3438, 908, 1142, 5123, 540, 519, 1272, 11733, 269, 634, 1949, 1646, 1272, 11733, 267, 11745, 1944, 547, 630, 9504, 476, 1220, 280, 3738, 968, 12090, 538, 519, 13683, 328, 612, 547, 1020, 2462, 4336, 6198, 6161, 1949, 538, 606, 2085, 540, 2462, 21783, 3349, 6161, 30077, 532, 10007, 269, 6176, 1949, 2238, 2847, 9407, 1472, 5230, 1217, 725, 4393, 543, 4137, 1835, 684, 4221, 1110, 639, 1766, 663, 529, 9232, 4586, 288, 12676, 9448, 568, 513, 5650, 1031, 676, 1022, 1949, 25566, 547, 1020, 606, 1344, 1062, 602, 10742, 782, 1305, 7569, 543, 6169, 585, 741, 7817, 269, 2353, 891, 1949, 1058, 581, 540, 513, 1164, 2298, 5870, 610, 10489, 2056, 7817, 2048, 338, 19773, 338, 267, 6192, 1369, 519, 17157, 1899, 8815, 543, 6578, 269, 898, 1058, 960, 3759, 659, 13124, 543, 11880, 527, 13124, 538, 519, 1699, 610, 9709, 2655, 4450, 543, 16310, 581, 10464, 547, 1832, 610, 4463, 523, 563, 21902, 338, 1646, 1272, 11733, 568, 1500, 909, 540, 2789, 5933, 630, 6423, 7010, 4886, 5020, 18888, 5020, 4211, 19564, 1912, 1162, 3239, 593, 2985, 476, 1015, 3738, 2073, 2185, 602, 616, 2731, 540, 1104, 281, 4058, 267, 2079, 267, 1374, 543, 6388, 8276, 664, 5199, 269, 589, 1949, 2079, 666, 14892, 891, 5933, 9001, 2907, 2813, 7811, 6589, 630, 1949, 1646, 1272, 11733, 7811, 6589, 3738, 1547, 1703, 616, 1896, 540, 891, 7811, 6589, 2139, 971, 607, 281, 4028, 3498, 1646, 630, 681, 4696, 3738, 2073, 1216, 6420, 267, 4652, 770, 2989, 4098, 543, 4745, 3498, 1374, 630, 808, 4696, 3738, 782, 8066, 1064, 14476, 543, 2258, 2510, 630, 6423, 23848, 543, 31808, 1145, 525, 540, 12676, 9448, 9184, 983, 5044, 593, 2985, 476, 1015, 3738, 2073, 538, 1114, 1533, 540, 26035, 1087, 855, 972, 568, 1100, 1318, 610, 11234, 547, 1826, 540, 1505, 1031, 630, 6423, 18948, 540, 6396, 3098, 9184, 983, 5044, 593, 2985, 476, 1015, 3738, 1169, 3787, 1279, 607, 519, 25759, 25584, 568, 540, 513, 1164, 2298, 5870, 610, 10489, 2056, 519, 7218, 19773, 543, 1369, 741, 17157, 1899, 543, 8815, 6578, 563, 5522, 8911, 568, 513, 2731, 540, 1104, 5123, 585, 513, 1949, 2079, 267, 713, 568, 519, 5123, 1141, 519, 1949, 2079, 814, 547, 1265, 519, 7475, 540, 519, 23072, 543, 1118, 513, 1164, 4110, 2990, 540, 519, 23072, 538, 606, 4674, 547, 17589, 1489, 689, 2362, 4287, 269, 589, 11801, 756, 30276, 5619, 666, 3006, 581, 1031, 547, 4217, 1397, 519, 23072, 547, 2362, 4287, 563, 26046, 568, 519, 1739, 540, 1104, 2268, 799, 568, 5340, 547, 4755, 856, 1018, 568, 519, 2816, 267, 2009, 3435, 543, 952, 621, 2048, 338, 1732, 585, 519, 2754, 547, 14892, 606, 607, 1417, 610, 2322, 538, 513, 28025, 1007, 1062, 269, 901, 568, 6913, 676, 519, 1949, 2079, 14906, 532, 6306, 519, 1699, 1062, 2394, 789, 1451, 875, 3388, 1568, 563, 6524, 11056, 540, 513, 1062, 666, 581, 6913, 519, 1949, 2079, 2115, 547, 1544, 519, 1007, 1062, 610, 10841, 757, 269, 901, 568, 1141, 519, 1949, 2079, 6257, 519, 1062, 538, 6221, 267, 1519, 5496, 29282, 267, 6161, 6042, 267, 5650, 12222, 267, 791, 8803, 13798, 2305, 267, 513, 2347, 11769, 2078, 6516, 543, 824, 13995, 269, 634, 8783, 8247, 540, 713, 2268, 568, 865, 602, 519, 1007, 1062, 610, 10841, 757, 616, 4330, 538, 1169, 3787, 1454, 6221, 607, 2009, 865, 9952, 4648, 666, 1020, 519, 1007, 1062, 610, 607, 1417, 609, 5934, 3063, 3403, 563, 6124, 1949, 610, 10841, 757, 616, 2813, 676, 9367, 855, 972, 568, 1100, 22979, 602, 519, 12363, 1062, 786, 9585, 922, 4397, 1374, 8247, 543, 1007, 1949, 4749, 723, 6397, 6009, 6902, 630, 968, 763, 6671, 8247, 540, 513, 17565, 568, 547, 1577, 3755, 540, 519, 10189, 547, 2268, 9367, 2048, 18747, 585, 519, 1374, 540, 519, 22638, 25584, 676, 2731, 5275, 873, 856, 267, 3079, 982, 8066, 547, 1526, 4902, 543, 2268, 519, 1374, 1759, 593, 11673, 892, 630, 9504, 476, 1220, 280, 3738, 3738, 1547, 589, 17565, 568, 513, 1907, 270, 23855, 1664, 2139, 547, 9367, 7363, 1031, 1282, 519, 1374, 11775, 267, 682, 1154, 873, 547, 1544, 3681, 267, 1118, 2242, 267, 4693, 6436, 543, 6166, 1857, 6881, 1354, 1205, 9419, 940, 2504, 540, 519, 1007, 1062, 630, 968, 288, 17565, 3335, 1138, 12885, 8806, 513, 1906, 18125, 540, 519, 4162, 540, 519, 22638, 1544, 267, 543, 949, 581, 28025, 1114, 689, 519, 22638, 6388, 1848, 630, 9504, 476, 1220, 280, 3738, 3738, 4586, 274, 269, 272, 5019, 19685, 9537, 454, 8072, 3682, 339, 19685, 2048, 8813, 883, 2789, 1362, 338, 4470, 593, 519, 1826, 540, 17565, 543, 1018, 519, 17565, 568, 1031, 585, 267, 971, 607, 1818, 519, 8818, 585, 513, 1544, 855, 1875, 519, 13798, 2305, 267, 610, 1818, 3368, 519, 1544, 547, 6961, 602, 1808, 2197, 269, 1703, 568, 1100, 2489, 1620, 593, 1018, 2306, 513, 17565, 630, 9504, 476, 1220, 280, 3738, 2073, 865, 1034, 30384, 15489, 883, 1022, 540, 891, 2185, 1362, 338, 281, 6169, 6361, 17376, 4532, 2118, 1486, 19685, 267, 1129, 8595, 5619, 17565, 267, 522, 4788, 17565, 543, 6198, 17565, 563, 274, 269, 272, 269, 272, 19577, 6361, 6261, 337, 4532, 2118, 5019, 9189, 454, 1607, 1826, 540, 17565, 568, 1031, 547, 6961, 930, 2694, 540, 519, 1374, 1510, 8066, 547, 1118, 519, 2407, 1062, 267, 23072, 610, 8818, 563, 274, 269, 272, 269, 273, 4813, 5530, 5019, 9189, 454, 1607, 1826, 540, 17565, 2636, 519, 9367, 547, 1382, 519, 2596, 2450, 267, 4082, 543, 1745, 540, 519, 25584, 1510, 8066, 547, 708, 10028, 519, 2291, 550, 4786, 610, 3169, 522, 4788, 3308, 2460, 540, 519, 25584, 563, 274, 269, 272, 269, 274, 744, 4788, 5019, 9189, 454, 302, 4788, 26336, 616, 1031, 676, 519, 17354, 547, 708, 10028, 519, 3308, 2460, 543, 4778, 540, 519, 5497, 25584, 267, 855, 786, 1875, 6451, 1022, 540, 519, 4282, 7851, 971, 607, 2596, 5106, 563, 274, 269, 272, 269, 275, 23398, 5019, 9189, 454, 293, 23341, 17565, 568, 519, 17354, 5275, 547, 708, 10028, 519, 25759, 1374, 543, 10342, 540, 519, 25584, 6902, 713, 568, 519, 17354, 2048, 338, 25759, 1750, 4302, 585, 1374, 12889, 267, 6009, 543, 2636, 2063, 31208, 2572, 2711, 1732, 906, 563, 275, 2422, 8865, 17738, 454, 288, 6165, 3236, 7811, 2272, 568, 1031, 676, 9367, 950, 1818, 513, 23072, 6902, 968, 1492, 8415, 3236, 6516, 568, 519, 1101, 602, 9703, 7718, 2209, 786, 960, 609, 950, 1205, 9419, 940, 513, 1788, 892, 630, 744, 4788, 8865, 15484, 1107, 772, 7876, 20861, 476, 1220, 280, 3738, 1547, 589, 6165, 3236, 7811, 2272, 2982, 519, 17354, 875, 513, 3593, 786, 2170, 609, 513, 1062, 676, 519, 8041, 540, 12222, 630, 1294, 2422, 8865, 7844, 12810, 593, 2985, 476, 1556, 3738, 610, 2241, 5528, 6902, 630, 968, 288, 2422, 8865, 4564, 513, 3982, 1770, 540, 5872, 1063, 513, 3593, 630, 1480, 610, 3684, 3738, 543, 519, 1062, 1848, 630, 634, 2422, 8865, 7844, 476, 1220, 280, 3738, 3738, 4586, 1103, 2596, 3723, 902, 513, 6165, 3236, 7811, 2272, 568, 513, 1305, 540, 7653, 799, 786, 4755, 1063, 3755, 519, 1062, 543, 1018, 786, 979, 593, 538, 1142, 9183, 971, 607, 281, 513, 3593, 2097, 538, 532, 741, 21189, 3330, 1217, 725, 543, 865, 2879, 12686, 593, 519, 21189, 7735, 269, 634, 6165, 3236, 7811, 2272, 786, 1533, 519, 9367, 10502, 875, 519, 3593, 786, 2170, 609, 519, 1062, 543, 593, 1142, 9183, 1018, 519, 3649, 3438, 786, 1118, 269, 4635, 713, 17133, 519, 9367, 723, 519, 2702, 547, 1118, 519, 1007, 1062, 609, 519, 2048, 2224, 3236, 7811, 2272, 2048, 543, 824, 13995, 1510, 26089, 20991, 3403, 610, 13995, 563, 1103, 713, 1353, 519, 13794, 814, 1044, 4988, 281, 1062, 1646, 1272, 11733, 267, 1486, 19685, 543, 8415, 3236, 7811, 2272, 269, 1306, 596, 2693, 917, 689, 2542, 713, 1353, 782, 1614, 540, 891, 616, 547, 3343, 543, 798, 621, 4443, 547, 1382, 883, 1007, 610, 18175, 15665, 1949, 267, 676, 23478, 9367, 609, 7850, 13995, 682, 1154, 873, 547, 1020, 606, 1344, 1062, 267, 1164, 4287, 666, 3180, 811, 540, 606, 3403, 543, 31536, 542, 540, 519, 1007, 1062, 1317, 540, 519, 2048, 2224, 3236, 7811, 2272, 2048, 543, 2048, 2889, 339, 8040, 2048, 1547, 2353, 540, 891, 1058, 1118, 513, 811, 3608, 1344, 1062, 21528, 2333, 14407, 19614, 543, 4398, 540, 519, 2754, 563, 310, 7364, 476, 1220, 280, 267, 7010, 4886, 5020, 18888, 267, 2228, 267, 27366, 476, 1428, 5437, 476, 1220, 280, 267, 689, 5409, 3667, 4483, 7014, 281, 12262, 523, 25769, 3820, 28293, 13478, 2448, 318, 31141, 318, 5158, 318, 12860, 563, 310, 7364, 476, 1220, 280, 267, 5019, 9189, 267, 2228, 267, 27366, 476, 1428, 5437, 476, 1220, 280, 267, 689, 5409, 3667, 4483, 7014, 281, 12262, 523, 25769, 3820, 28293, 270, 3682, 339, 9189, 563, 310, 7364, 476, 1220, 280, 267, 12229, 5019, 19685, 267, 2228, 267, 27366, 476, 1428, 5437, 476, 1220, 280, 267, 689, 5409, 3667, 4483, 7014, 281, 12262, 523, 25769, 3820, 28293, 270, 25413, 2264, 318, 2889, 339, 19685, 563, 302, 4788, 8865, 15484, 1107, 772, 7876, 20861, 476, 1220, 280, 267, 2228, 267, 27366, 476, 1704, 5437, 476, 1220, 280, 267, 689, 5409, 3667, 4483, 7014, 281, 12262, 4178, 4877, 1092, 3820, 270, 6312, 553, 924, 11721, 850, 611, 2381, 7933, 665, 338, 270, 1170, 340, 652, 516, 2738, 270, 296, 318, 307, 318, 11321, 5881, 318, 763, 318, 15239, 6953, 889, 318, 1805, 800, 15005, 563, 763, 2422, 8865, 7844, 476, 1220, 280, 267, 2228, 267, 27366, 476, 2764 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 454, 2018, 2132, 524, 660, 454, 825, 29185, 825, 1219, 31062, 306, 13645, 4311, 267, 5119, 281, 5903, 314, 8266, 314, 1598, 316, 8079, 9847, 703, 912, 1038, 15358, 815, 1496, 842, 3488, 8339, 21860, 9217, 1070, 3490, 284, 273, 264, 585, 1775, 538, 5119, 6540, 1038, 1219, 1205, 310, 5954, 16325, 281, 703, 264, 9847, 703, 912, 2018, 5727, 418, 365, 480, 13213, 508, 14756, 511, 476, 272, 476, 7511, 14748, 12255, 12163, 2018, 524, 660, 815, 476, 271, 454, 2018, 1247, 1003, 912, 3546, 1003, 17851, 1003, 24177, 476, 272, 454, 3546, 524, 660, 6834, 476, 272, 454, 2018, 2132, 524, 660, 692, 1038, 3193, 328, 815, 476, 271, 454, 1038, 585, 1775, 267, 642, 538, 26246, 25225, 2187, 2018, 585, 795, 538, 2039, 9217, 267, 7003, 25225, 15892, 3546, 642, 17851, 15358, 14728, 6540, 3546, 530, 815, 1205, 310, 5954, 17635, 994, 3546, 3193, 328, 815, 3193, 32384, 328, 267, 1295, 26028, 267, 795, 910, 1775, 1341, 476, 272, 4917, 1038, 2132, 3193, 328, 2608, 3193, 328, 7531, 338, 815, 8827, 4590, 338, 27982, 2711, 306, 13645, 18692, 825, 1496, 14277, 272, 2580, 834, 271, 2580, 834, 272, 2580, 834, 271, 2580, 834, 271, 257, 3910, 22373, 272, 2580, 834, 271, 2580, 834, 272, 2580, 834, 272, 2580, 834, 272, 257, 3910, 22373, 272, 2580, 834, 272, 2580, 834, 272, 2580, 834, 272, 2580, 834, 272, 257, 3910, 22373, 272, 2580, 834, 271, 2580, 834, 271, 2580, 834, 272, 2580, 834, 271, 19312, 7481, 0, 5228, 17511, 1104, 5903, 454, 5228, 1449, 1104, 4351, 9078, 1235, 454, 5814, 1770, 11687, 7531, 3698, 24450, 31374, 25225, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 825, 8173, 1038, 476, 31006, 12916, 367, 418, 481, 483, 19540, 369, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 281, 744, 3799, 994, 1038, 476, 31006, 26266, 362, 418, 481, 483, 19540, 369, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 3799, 265, 333, 2020, 1038, 17276, 493, 496, 24662, 26406, 496, 31365, 13200, 365, 715, 268, 272, 29635, 370, 509, 26406, 496, 31365, 14756, 482, 29873, 267, 28098, 30678, 623, 284, 272, 29635, 370, 509, 28996, 454, 1038, 623, 284, 301, 268, 272, 29635, 370, 509, 267, 418, 493, 496, 24662, 26406, 496, 31365, 32517, 507, 13644, 479, 10524, 492, 12916, 491, 419, 377, 362, 476, 271, 910, 623, 476, 7511, 30317, 27381, 510, 20992, 454, 1038, 13127, 371, 366, 26406, 496, 31365, 419, 488, 370, 26233, 479, 454, 1038, 476, 12571, 495, 31176, 491, 418, 493, 496, 24662, 263, 11590, 353, 29004, 351, 994, 825, 8173, 825, 562, 815, 7003, 25225, 994, 825, 585, 1775, 538, 2039, 263, 272, 267, 562, 2187, 1038, 585, 795, 538, 20328, 263, 9792, 9217, 15892, 2018, 952, 15358, 14728, 316, 3436, 15358, 14728, 1341, 476, 272, 14158, 3546, 15358, 14728, 3910, 15358, 14728, 1341, 476, 272, 316, 815, 15358, 14728, 1341, 476, 272, 3910, 15358, 14728, 2639, 2018, 3116, 912, 3546, 2736, 454, 825, 2132, 15358, 7531, 5035, 4530, 11900, 1068, 542, 31374, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 16029, 4311, 2187, 1038, 585, 1775, 538, 2039, 263, 1911, 271, 2187, 2018, 8638, 815, 4351, 9078, 1235, 4590, 2018, 524, 6853, 815, 8638, 11468, 2639, 2018, 8638, 815, 24450, 31374, 10857, 1235, 994, 2018, 524, 6853, 31699, 4590, 2018, 1582, 27863, 10857, 1235, 267, 524, 6853, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 8276, 1314, 3065, 14870, 528, 6361, 26690, 5991, 13246, 2987, 12845, 268, 6783, 13045, 258, 476, 275, 2641, 269, 476, 12255, 14756, 482, 18809, 4970, 353, 14748, 12255, 7511, 31006, 27962, 19764, 480, 16043, 500, 29219, 454, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 8173, 1038, 17276, 508, 482, 417, 375, 374, 31176, 491, 419, 376, 478, 21550, 495, 263, 4970, 353, 26175, 491, 30317, 27381, 510, 476, 271, 270, 272, 13211, 1038, 28859, 506, 478, 28884, 16533, 484, 421, 360, 502, 12916, 491, 418, 498, 378, 28996, 21550, 495, 7511, 31968, 31271, 480, 267, 476, 12571, 355, 10254, 503, 25060, 373, 421, 483, 491, 7511, 28793, 22390, 503, 421, 506, 478, 28884, 12916, 379, 17958, 21211, 31033, 4970, 366, 23989, 419, 353, 374, 19764, 480, 16043, 500, 29219, 454, 825, 29185, 825, 1219, 1265, 16655, 3065, 311, 3036, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 3529, 815, 31460, 1038, 585, 1775, 538, 15358, 912, 2018, 3597, 815, 3529, 454, 2018, 585, 795, 538, 2039, 263, 1789, 267, 910, 272, 267, 910, 272, 2187, 3546, 642, 815, 630, 328, 23645, 795, 264, 1299, 476, 272, 454, 3546, 952, 642, 711, 538, 3597, 912, 7386, 3597, 314, 341, 316, 815, 31460, 3546, 3597, 815, 3597, 314, 341, 6540, 1038, 3193, 328, 815, 476, 271, 454, 1038, 544, 815, 2715, 271, 281, 476, 272, 267, 476, 272, 281, 476, 271, 8679, 1038, 585, 1775, 538, 15358, 912, 2018, 3597, 815, 3529, 454, 2018, 1225, 815, 476, 271, 454, 2018, 585, 795, 538, 2039, 263, 1789, 267, 910, 272, 267, 910, 272, 2187, 3546, 642, 815, 630, 328, 23645, 795, 264, 1299, 476, 272, 454, 3546, 1225, 815, 1225, 2608, 476, 273, 454, 3546, 952, 544, 314, 341, 316, 538, 3597, 912, 7386, 1225, 6834, 476, 272, 454, 7386, 3597, 815, 3597, 314, 332, 314, 341, 27663, 3546, 3116, 912, 7386, 3597, 815, 3597, 314, 341, 2639, 2018, 3193, 328, 815, 3193, 32384, 328, 267, 1225, 994, 1038, 2132, 3193, 328, 454, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 2102, 4733, 1790, 1861, 12330, 13045, 258, 476, 2420, 269, 17276, 489, 361, 9463, 371, 13200, 509, 29873, 454, 258, 476, 30244, 30903, 502, 25520, 10429, 357, 26406, 496, 28578, 32352, 25263, 376, 692, 5228, 17511, 1104, 5903, 454, 5228, 10070, 1104, 632, 4302, 692, 5035, 8827, 912, 825, 8173, 1038, 17276, 367, 357, 418, 482, 493, 30244, 26175, 491, 281, 630, 3890, 31156, 1038, 476, 30244, 30903, 502, 25203, 372, 25051, 497, 30678, 417, 350, 360, 418, 489, 361, 9463, 371, 30903, 502, 267, 20069, 562, 476, 14748, 1412, 3488, 476, 4970, 492, 562, 476, 14748, 1412, 264, 7055, 1038, 476, 18777, 378, 31176, 358, 12916, 503, 1535, 476, 14748, 1412, 3488, 17276, 489, 361, 9463, 371, 267, 586, 476, 14748, 1412, 264, 262, 17276, 489, 361, 9463, 371, 454, 1038, 1535, 11971, 13127, 379, 483, 421, 350, 375, 418, 375, 350, 420, 370, 367, 1535, 13843, 586, 692, 1038, 476, 18263, 509, 16533, 365, 15159, 1318, 910, 26270, 1341, 476, 272, 454, 825, 29185, 825, 1219, 5352, 21122, 4185, 4311, 267, 562, 281, 703, 264, 9847, 5903, 314, 1598, 14158, 1038, 759, 815, 1305, 10797, 1038, 1219, 9888, 263, 3650, 281, 1193, 267, 2451, 281, 703, 267, 1318, 281, 703, 264, 9847, 7183, 912, 2018, 952, 2451, 2652, 476, 271, 912, 3546, 759, 14491, 263, 3650, 1341, 1412, 264, 262, 2608, 1318, 994, 3546, 2132, 692, 2018, 585, 1775, 538, 2039, 263, 272, 267, 2451, 1341, 476, 272, 2187, 3546, 26270, 815, 2451, 910, 1775, 454, 3546, 585, 795, 538, 2039, 263, 272, 267, 1318, 910, 26270, 1341, 476, 272, 2187, 7386, 9888, 263, 3650, 1341, 1412, 3488, 2608, 1775, 1341, 1412, 264, 262, 2608, 795, 267, 26270, 267, 1318, 910, 795, 2020, 1038, 1948, 2451, 1318, 476, 20992, 31176, 358, 12916, 503, 7511, 26266, 355, 9463, 367, 418, 489, 361, 9463, 371, 12255, 454, 1038, 9888, 3488, 3299, 562, 267, 562, 994, 1038, 2132, 1592, 263, 637, 9239, 5035, 8827, 272, 912, 825, 8173, 8587, 476, 30244, 26175, 491, 25913, 25622, 21251, 421, 506, 478, 28884, 31176, 359, 22909, 507, 10756, 825, 29185, 825, 1219, 5352, 21122, 4185, 4311, 267, 562, 281, 703, 264, 9847, 5903, 314, 1598, 14158, 1038, 759, 815, 29129, 1038, 1219, 1394, 10177, 1188, 263, 3847, 281, 703, 267, 1318, 281, 703, 2187, 2018, 952, 7003, 263, 2017, 264, 2652, 476, 273, 2608, 562, 912, 3546, 759, 6910, 3488, 8339, 21860, 263, 2017, 11723, 2018, 952, 2451, 3436, 476, 271, 912, 3546, 1225, 6910, 3488, 3488, 994, 3546, 1394, 10177, 1188, 263, 3847, 910, 476, 272, 267, 1318, 994, 3546, 1225, 21014, 10797, 2018, 952, 2451, 2999, 1318, 912, 3546, 1225, 6910, 3488, 264, 5073, 3546, 1394, 10177, 1188, 263, 3847, 267, 1318, 910, 476, 272, 994, 3546, 1225, 21014, 10797, 1038, 1225, 815, 632, 4302, 4590, 1038, 1394, 10177, 1188, 3799, 267, 562, 994, 1038, 2132, 759, 7531, 338, 815, 8827, 4590, 2745, 4433, 269, 2102, 4733, 21122, 4185, 263, 275, 4917, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 31574, 628, 28376, 3887, 2211, 2987, 8584, 3613, 3195, 13045, 258, 476, 3583, 274, 269, 476, 12255, 29004, 362, 418, 369, 479, 18809, 7511, 21588, 361, 918, 13127, 353, 356, 30317, 27381, 510, 454, 5228, 17511, 1104, 5903, 454, 5228, 24050, 336, 1104, 24050, 1518, 267, 646, 1952, 641, 267, 24050, 516, 2897, 267, 646, 1952, 2313, 7531, 5035, 918, 628, 299, 17999, 912, 825, 8173, 1038, 476, 30244, 30903, 502, 418, 493, 493, 13213, 364, 15159, 14748, 10524, 478, 18263, 486, 27064, 358, 418, 482, 493, 11631, 888, 1038, 476, 22047, 28997, 478, 22287, 499, 30903, 502, 421, 498, 503, 4970, 487, 418, 361, 350, 11631, 286, 888, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 737, 281, 703, 267, 15358, 281, 5903, 27776, 316, 2187, 1038, 1582, 21993, 815, 737, 454, 1038, 1582, 269, 515, 777, 815, 15358, 454, 1038, 24050, 1518, 4311, 269, 515, 777, 994, 1038, 682, 815, 7003, 25225, 2020, 1038, 1247, 682, 3436, 737, 912, 2018, 646, 1952, 641, 4311, 269, 515, 777, 994, 2018, 682, 20699, 476, 272, 692, 825, 1219, 1039, 4311, 267, 1130, 281, 703, 264, 9847, 703, 912, 1038, 952, 7003, 4311, 269, 515, 777, 264, 2999, 1582, 21993, 912, 2018, 646, 1952, 2313, 4311, 269, 515, 777, 267, 1130, 994, 1038, 8640, 1130, 3436, 1582, 269, 515, 777, 314, 271, 14158, 2018, 24050, 516, 2897, 4311, 269, 515, 777, 267, 1130, 994, 1038, 2132, 1582, 269, 515, 777, 314, 271, 6540, 454, 338, 815, 918, 628, 299, 17999, 263, 274, 267, 1496, 271, 7481, 338, 14491, 8987, 272, 994, 338, 14491, 263, 272, 994, 338, 14491, 8987, 273, 994, 338, 14491, 8987, 275, 994, 338, 14491, 263, 274, 994, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 20777, 1790, 531, 30308, 13045, 258, 476, 10219, 269, 28859, 359, 490, 13644, 479, 18713, 508, 24757, 4970, 366, 7531, 5035, 8827, 912, 825, 8173, 1038, 476, 32517, 507, 419, 499, 503, 12255, 21211, 4970, 492, 21211, 30006, 491, 19540, 491, 10254, 353, 13161, 511, 454, 825, 8173, 825, 1219, 568, 21595, 30308, 4311, 267, 521, 281, 1193, 264, 9847, 536, 944, 912, 1038, 521, 815, 1412, 8339, 21860, 6600, 559, 614, 19304, 18994, 531, 11133, 267, 521, 26895, 12294, 4590, 1038, 2132, 521, 2652, 521, 11468, 18737, 272, 2639, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 11721, 756, 20906, 5991, 3784, 13045, 258, 476, 2004, 280, 269, 476, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 7531, 5035, 8827, 912, 825, 1219, 4017, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 952, 562, 2999, 476, 273, 912, 2018, 2132, 562, 692, 1038, 513, 267, 536, 815, 476, 271, 267, 476, 272, 454, 1038, 585, 1775, 538, 2039, 263, 273, 267, 562, 1341, 476, 272, 2187, 2018, 513, 267, 536, 815, 536, 267, 513, 1341, 536, 454, 1038, 2132, 536, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22971, 538, 519, 3296, 13269, 24132, 689, 1269, 274, 267, 4335, 547, 1269, 279, 267, 1822, 267, 1247, 6266, 2059, 23885, 22971, 941, 12595, 1063, 1269, 1240, 267, 1822, 543, 1269, 4649, 267, 1822, 269, 634, 2603, 609, 2777, 1297, 476, 31979, 593, 19549, 22971, 267, 1063, 476, 2190, 628, 543, 476, 1839, 628, 6790, 1115, 267, 11954, 12457, 593, 519, 4786, 267, 729, 11262, 676, 6004, 269, 16429, 743, 1515, 543, 12595, 693, 1269, 277, 267, 1822, 269, 6034, 569, 2066, 267, 593, 23885, 22971, 267, 513, 13974, 21092, 2603, 26484, 11909, 267, 609, 513, 3677, 1753, 11262, 676, 6004, 269, 570, 858, 1415, 267, 729, 12595, 693, 1269, 736, 267, 1822, 269, 8121, 0, 1805, 800, 540, 26056, 419, 374, 355, 18263, 355, 11590, 504, 7511, 10533, 483, 11590, 489, 27818, 275, 24724, 454, 297, 9655, 7699, 11542, 4805, 267, 1010, 4064, 543, 1010, 2247, 6378, 593, 519, 2749, 540, 7603, 747, 334, 269, 7603, 747, 334, 729, 1360, 9602, 543, 1869, 1631, 267, 585, 519, 1004, 1185, 4862, 875, 519, 2696, 540, 5840, 1185, 8118, 909, 519, 16888, 5211, 585, 3571, 1004, 547, 3444, 936, 269, 1656, 950, 789, 4862, 267, 782, 540, 873, 941, 1360, 12922, 540, 5840, 269, 1924, 1631, 519, 19235, 540, 519, 2749, 540, 7603, 747, 334, 941, 9505, 269, 3143, 835, 3357, 538, 267, 543, 1100, 835, 4682, 856, 269, 26056, 6743, 693, 1346, 1164, 2178, 2749, 6821, 269, 12344, 646, 729, 11842, 875, 1010, 7952, 1131, 2479, 1205, 2250, 873, 883, 519, 2749, 563, 419, 374, 355, 18263, 355, 11590, 504, 21928, 30837, 510, 13213, 495, 26033, 370, 10254, 358, 417, 497, 354, 417, 509, 492, 7511, 17295, 364, 25913, 419, 489, 361, 420, 485, 359, 419, 360, 503, 419, 507, 478, 267, 476, 10524, 500, 7511, 419, 506, 376, 25203, 362, 25520, 417, 379, 481, 26233, 507, 421, 25693, 21796, 357, 418, 482, 493, 21928, 26033, 370, 10254, 358, 417, 497, 354, 417, 509, 492, 12486, 26033, 370, 10254, 358, 417, 497, 354, 13127, 509, 492, 27064, 364, 21928, 23523, 486, 14395, 487, 30837, 503, 267, 28859, 480, 352, 19404, 490, 7511, 32512, 26266, 366, 14756, 493, 12571, 361, 13644, 368, 419, 354, 508, 12916, 379, 419, 374, 355, 12916, 484, 418, 366, 367, 7511, 418, 364, 368, 13161, 511, 14756, 507, 267, 476, 29873, 20992, 23946, 366, 17295, 364, 267, 476, 12916, 379, 23284, 420, 487, 366, 28578, 32512, 13213, 485, 29072, 418, 366, 367, 12486, 476, 10524, 500, 10524, 361, 13601, 12571, 361, 13644, 368, 30244, 10524, 370, 11590, 489, 267, 13127, 379, 481, 19404, 490, 421, 25693, 23523, 486, 14395, 367, 26233, 499, 12486, 27064, 364, 21928, 267, 476, 26033, 370, 10254, 358, 417, 497, 354, 7511, 417, 509, 492, 25426, 357, 27381, 356, 27381, 356, 17295, 364, 10429, 367, 419, 507, 478, 267, 17276, 366, 350, 20069, 32512, 24731, 24662, 12486, 419, 374, 355, 476, 18263, 355, 11590, 504, 419, 506, 489, 419, 507, 478, 421, 480, 352, 421, 360, 502, 27962, 7511, 417, 509, 492, 417, 351, 503, 12486, 18263, 509, 18777, 372, 10524, 500, 21928, 418, 481, 367, 267, 17276, 478, 492, 21550, 371, 19867, 491, 420, 25693, 418, 498, 375, 419, 510, 368, 14395, 481, 417, 495, 351, 5405, 509, 454, 306, 19488, 26056, 7691, 646, 729, 711, 4805, 256, 1703, 547, 1010, 2427, 11542, 513, 812, 945, 849, 11696, 1194, 513, 19524, 540, 606, 7952, 267, 543, 646, 1185, 1010, 18156, 6537, 607, 952, 4712, 547, 4339, 256, 24154, 557, 569, 26056, 267, 519, 19524, 540, 519, 20679, 540, 5840, 267, 13934, 1864, 16088, 2108, 6701, 596, 585, 721, 267, 610, 585, 938, 14763, 5405, 509, 7536, 419, 359, 479, 419, 482, 370, 267, 22614, 374, 355, 18263, 355, 11590, 504, 418, 482, 493, 13644, 484, 28996, 10524, 500, 20721, 479, 20001, 373, 20069, 22047, 32512, 12486, 421, 480, 352, 32512, 19867, 489, 19404, 490, 20069, 418, 489, 498, 24731, 23521, 354, 7511, 10254, 478, 267, 13127, 354, 377, 417, 481, 493, 16583, 484, 14035, 485, 28884, 19867, 497, 10524, 501, 12486, 22614, 374, 355, 18263, 355, 11590, 504, 421, 376, 497, 420, 370, 367, 417, 489, 485, 418, 364, 498, 267, 476, 25426, 362, 10524, 500, 13644, 368, 16088, 2108, 12916, 510, 15159, 27747, 362, 20693, 358, 16043, 495, 10524, 361, 417, 495, 351, 5405, 509, 13213, 502, 15159, 27747, 362, 20693, 358, 16043, 495, 10524, 361, 10533, 490, 32512, 417, 495, 351, 5405, 509, 7536, 2108, 5591, 267, 9232, 519, 24928, 12943, 267, 968, 296, 723, 2097, 607, 2155, 6387, 540, 519, 28789, 24912, 7952, 17373, 26056, 2877, 1100, 811, 1344, 256, 8056, 2664, 2299, 519, 19524, 540, 5840, 779, 20679, 8593, 593, 1010, 3068, 547, 519, 3618, 543, 26902, 5792, 519, 2155, 6387, 540, 519, 28789, 779, 20679, 256, 968, 1432, 1281, 1250, 7083, 723, 547, 2161, 547, 1010, 22700, 5405, 509, 892, 26056, 1208, 29087, 4280, 269, 26056, 729, 1287, 5143, 547, 1491, 1055, 1010, 10887, 585, 646, 729, 7555, 593, 13411, 2666, 563, 10524, 500, 18713, 508, 419, 511, 498, 13644, 368, 16088, 2108, 21251, 476, 15159, 7511, 267, 476, 16043, 495, 23521, 354, 15159, 28884, 30853, 26033, 370, 25520, 22287, 492, 19540, 505, 421, 502, 509, 7511, 30317, 27747, 483, 12486, 892, 419, 374, 355, 18263, 355, 11590, 504, 21251, 421, 506, 478, 28884, 19540, 491, 25426, 362, 29072, 12486, 30244, 12916, 491, 23284, 420, 487, 366, 28578, 19540, 505, 421, 502, 509, 7511, 30317, 13127, 372, 483, 421, 358, 361, 31968, 32517, 363, 25263, 493, 21928, 17295, 364, 267, 476, 12571, 495, 26033, 370, 25520, 22287, 492, 19540, 505, 421, 502, 509, 7511, 30317, 27747, 483, 31284, 418, 489, 506, 267, 476, 13644, 368, 16088, 2108, 16043, 495, 4970, 375, 20069, 10524, 478, 18263, 486, 13644, 507, 12571, 358, 417, 496, 494, 10524, 484, 32512, 5405, 509, 892, 30244, 14748, 32512, 476, 18777, 358, 419, 374, 355, 18263, 355, 11590, 504, 418, 488, 488, 420, 482, 504, 31968, 7511, 421, 508, 489, 420, 482, 365, 31284, 23521, 354, 267, 13127, 505, 510, 20992, 10524, 500, 19867, 478, 419, 360, 503, 7511, 17295, 364, 25913, 15159, 17295, 352, 17295, 364, 25707, 2710, 596, 1589, 26056, 23491, 539, 5405, 509, 3719, 5808, 729, 713, 2155, 6387, 540, 519, 28789, 779, 20679, 5405, 509, 1432, 729, 3571, 2012, 5405, 509, 27258, 543, 6690, 267, 621, 729, 808, 2464, 4785, 256, 4634, 1498, 646, 6743, 899, 513, 812, 267, 1261, 729, 2965, 519, 7083, 4906, 2441, 269, 6496, 602, 9983, 596, 781, 5568, 649, 1589, 602, 4906, 3459, 607, 513, 4816, 602, 1101, 8285, 269, 1809, 1100, 267, 4906, 568, 2696, 269, 1261, 729, 972, 609, 2696, 950, 519, 1158, 729, 2813, 269, 1703, 616, 2053, 2429, 519, 6196, 11620, 540, 519, 6426, 950, 4906, 7902, 585, 1114, 4128, 563, 16533, 493, 10951, 489, 9463, 489, 10524, 361, 267, 476, 30244, 14748, 32512, 16533, 365, 15159, 16043, 495, 10524, 361, 7511, 4970, 375, 26033, 370, 31801, 352, 12486, 12916, 510, 15159, 21251, 15159, 25335, 487, 23523, 501, 417, 354, 485, 26233, 359, 5405, 509, 20069, 28793, 16043, 495, 10524, 361, 23284, 20992, 26033, 370, 31801, 352, 21588, 361, 476, 13601, 418, 361, 350, 23521, 354, 28996, 4970, 500, 31968, 15159, 4970, 353, 22287, 481, 23946, 368, 31176, 491, 7511, 421, 480, 352, 14748, 17295, 352, 13644, 508, 420, 488, 480, 12486, 10429, 370, 14395, 508, 267, 476, 26033, 370, 31801, 352, 16533, 365, 15159, 419, 354, 508, 12486, 21928, 419, 354, 508, 10254, 505, 20881, 510, 30244, 14748, 4970, 500, 419, 499, 490, 23284, 31176, 491, 2073, 476, 10524, 500, 16533, 365, 4970, 492, 419, 354, 508, 21928, 13601, 420, 369, 371, 12486, 21928, 20721, 356, 419, 374, 355, 17295, 352, 14756, 493, 18809, 267, 476, 26033, 370, 31801, 352, 18713, 510, 20992, 21251, 12571, 490, 7511, 31308, 509, 18713, 510, 418, 505, 378, 16583, 510, 418, 361, 350, 24731, 27064, 364, 25707, 1103, 519, 1715, 11620, 4906, 3357, 883, 519, 1158, 607, 513, 4816, 269, 1684, 596, 917, 1018, 2601, 1261, 1185, 585, 4947, 693, 602, 942, 5405, 509, 5978, 5609, 729, 519, 2601, 4906, 3357, 269, 2696, 3081, 782, 1346, 1611, 1919, 649, 2161, 547, 1866, 267, 1346, 1611, 1919, 649, 1256, 8946, 2562, 298, 827, 1866, 267, 543, 519, 4636, 1919, 649, 798, 547, 1866, 267, 782, 1832, 721, 2476, 689, 2696, 543, 3571, 8748, 24656, 569, 1753, 269, 3776, 5609, 568, 899, 513, 1390, 2462, 7963, 602, 649, 28297, 267, 855, 3112, 2628, 269, 1656, 2943, 267, 2696, 6645, 721, 936, 543, 936, 875, 1454, 1261, 14560, 721, 543, 6499, 721, 609, 13924, 11014, 269, 1809, 5808, 1223, 7654, 2628, 585, 938, 5609, 267, 865, 649, 2910, 8085, 291, 581, 4847, 538, 24656, 5405, 509, 2005, 1223, 1152, 581, 2696, 779, 3501, 12312, 267, 519, 7083, 4906, 563, 21928, 13161, 364, 419, 374, 355, 18809, 267, 476, 26033, 370, 31801, 352, 476, 30853, 20992, 22047, 417, 358, 368, 417, 482, 379, 13213, 505, 24662, 30244, 14748, 4970, 500, 419, 499, 490, 12486, 12916, 510, 419, 509, 354, 421, 479, 497, 10524, 500, 20992, 10524, 478, 18263, 486, 23521, 354, 12571, 501, 5405, 509, 15159, 20992, 29072, 16043, 495, 10524, 361, 7511, 419, 377, 359, 12486, 419, 354, 508, 13644, 368, 16043, 495, 10524, 361, 13644, 368, 13213, 485, 476, 10254, 360, 32512, 7511, 417, 507, 493, 13644, 507, 267, 476, 13200, 504, 420, 485, 367, 9463, 359, 15159, 420, 482, 495, 31878, 19404, 490, 418, 481, 367, 13601, 418, 481, 367, 7511, 417, 507, 493, 11590, 489, 267, 476, 16043, 495, 10524, 361, 30853, 7511, 421, 498, 503, 11590, 489, 267, 476, 12916, 379, 16043, 495, 10524, 361, 13213, 506, 419, 355, 375, 419, 354, 508, 25520, 421, 480, 352, 419, 378, 492, 4970, 377, 7511, 13127, 353, 358, 417, 510, 480, 12486, 16043, 495, 10524, 361, 7511, 419, 377, 359, 16533, 365, 420, 365, 350, 13601, 21588, 498, 16043, 495, 10524, 361, 420, 368, 509, 21251, 420, 369, 371, 7511, 22390, 374, 12486, 12916, 484, 419, 354, 508, 13601, 418, 361, 350, 9463, 486, 13601, 418, 361, 350, 17295, 364, 417, 495, 488, 13644, 487, 16043, 495, 10524, 361, 267, 476, 10524, 500, 419, 486, 365, 16043, 495, 10524, 361, 267, 476, 10524, 500, 476, 28884, 16043, 495, 10524, 361, 4970, 492, 10524, 500, 418, 364, 372, 13213, 506, 21928, 13601, 420, 369, 371, 12486, 12916, 484, 15159, 267, 29635, 364, 479, 420, 25693, 10524, 502, 418, 372, 483, 16043, 495, 10524, 361, 7511, 419, 377, 359, 22390, 374, 417, 495, 351, 5405, 509, 9463, 359, 20069, 419, 354, 508, 14395, 490, 419, 378, 492, 7511, 417, 482, 379, 31878, 16088, 26033, 370, 31801, 352, 417, 509, 374, 419, 507, 352, 25707, 2710, 596, 3314, 875, 1261, 6976, 585, 938, 5609, 5405, 509, 12441, 1261, 2285, 2724, 5405, 509, 5591, 267, 519, 6426, 3081, 538, 2051, 1601, 2103, 476, 272, 16088, 736, 267, 968, 4517, 267, 2348, 1500, 4708, 998, 519, 1973, 540, 3571, 3444, 2507, 892, 4906, 786, 5944, 5795, 3571, 1272, 1299, 3571, 10475, 1973, 607, 8569, 585, 938, 5609, 269, 8422, 2395, 1310, 4906, 5747, 267, 1261, 3357, 9800, 1586, 543, 2663, 4682, 1394, 547, 24656, 269, 1772, 4906, 1869, 9800, 538, 24656, 5405, 509, 312, 2464, 256, 634, 6426, 3081, 267, 968, 27716, 2441, 267, 519, 1482, 19108, 267, 2221, 267, 543, 11014, 28461, 10524, 500, 15159, 26233, 492, 21550, 371, 10524, 502, 16043, 495, 10524, 361, 7511, 419, 377, 359, 22390, 374, 417, 495, 351, 5405, 509, 17958, 421, 496, 365, 12571, 501, 5405, 509, 21251, 15159, 256, 27882, 490, 419, 377, 501, 420, 354, 379, 18263, 355, 21588, 361, 272, 419, 360, 510, 736, 420, 488, 480, 13644, 368, 16088, 2108, 20721, 351, 419, 482, 370, 420, 501, 487, 419, 507, 478, 10524, 500, 21928, 13127, 491, 479, 21211, 22909, 370, 31968, 19867, 478, 418, 369, 479, 7511, 16141, 478, 29873, 16533, 365, 29072, 25520, 23946, 367, 5608, 476, 26033, 370, 31801, 352, 418, 481, 483, 418, 482, 379, 10524, 502, 31968, 10524, 500, 7511, 13200, 509, 417, 495, 377, 25520, 14395, 507, 16141, 478, 23521, 354, 417, 479, 504, 20992, 16043, 495, 10524, 361, 420, 369, 492, 419, 377, 359, 7511, 28786, 476, 10524, 371, 12486, 26033, 370, 31801, 352, 27882, 375, 12571, 492, 4970, 487, 14035, 358, 267, 476, 10524, 500, 10524, 492, 27882, 375, 19404, 490, 14035, 491, 418, 368, 375, 267, 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 ]
[ 315, 3667, 346, 7941, 676, 476, 274, 281, 7684, 349, 315, 2765, 346, 274, 343, 2410, 274, 348, 815, 343, 284, 1422, 2765, 1724, 1422, 10383, 530, 1422, 10383, 586, 1422, 10383, 1990, 6911, 259, 274, 343, 284, 14567, 345, 349, 315, 574, 18680, 349, 315, 3667, 346, 7941, 676, 530, 345, 281, 7684, 349, 344, 815, 1422, 2765, 346, 274, 343, 2410, 530, 1422, 10383, 1990, 10592, 259, 274, 343, 284, 14567, 345, 349, 315, 574, 18680, 349, 315, 3667, 346, 7941, 676, 586, 345, 281, 7684, 349, 342, 815, 1422, 2765, 346, 274, 343, 2410, 586, 1422, 10383, 1990, 10592, 259, 274, 343, 284, 14567, 345, 349, 315, 574, 18680, 349, 315, 3667, 346, 7941, 676, 530, 344, 281, 7684, 349, 345, 815, 1422, 2765, 346, 274, 343, 2410, 530, 1422, 10383, 586, 4151, 0, 763, 31643, 3041, 568, 6462, 676, 519, 1082, 21464, 22881, 547, 519, 31643, 3041, 7690, 780, 5729, 15134, 9029, 281, 7490, 1118, 513, 21856, 547, 519, 31643, 3041, 7690, 547, 1489, 5571, 1646, 543, 5826, 540, 519, 31643, 3041, 269, 1284, 616, 1631, 538, 938, 476, 6795, 628, 1032, 267, 649, 723, 936, 476, 3374, 279, 267, 1822, 9696, 267, 543, 649, 4076, 18084, 476, 1015, 267, 4968, 14327, 630, 6518, 1419, 2161, 968, 29171, 2642, 7064, 547, 519, 31643, 3041, 26158, 4033, 2081, 547, 12315, 454, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 1822, 26562, 513, 3799, 264, 815, 476, 273, 265, 320, 3799, 268, 272, 264, 910, 513, 3799, 268, 273, 264, 1341, 513, 3799, 268, 274, 264, 1341, 476, 273, 22677, 333, 268, 272, 1040, 476, 273, 454, 476, 271, 267, 476, 272, 267, 476, 275, 267, 476, 1556, 267, 476, 2767, 267, 476, 8287, 267, 476, 16318, 267, 476, 24374, 267, 476, 6858, 274, 267, 476, 16960, 273, 267, 476, 22145, 276, 267, 476, 277, 3066, 276, 267, 476, 9873, 4649, 267, 476, 29483, 2918, 267, 476, 4649, 273, 10019, 267, 476, 13647, 32146, 267, 476, 15996, 6872, 273, 267, 476, 5379, 279, 6434, 274, 267, 476, 4817, 272, 31003, 267, 476, 4572, 4792, 273, 278, 267, 476, 4343, 280, 4366, 278, 279, 267, 476, 4281, 277, 25628, 273, 267, 476, 15647, 4649, 272, 4962, 267, 476, 29204, 3607, 273, 2412, 267, 476, 5038, 273, 7597, 272, 3374, 267, 476, 15782, 23056, 31620, 267, 476, 28796, 277, 3445, 26839, 267, 476, 276, 2641, 276, 2190, 14695, 267, 476, 10441, 6924, 272, 27947, 273, 267, 476, 13975, 28873, 11260, 274, 267, 476, 275, 2641, 1708, 279, 3393, 273, 267, 476, 279, 4510, 275, 4343, 3583, 277, 278, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 271, 267, 274, 25265, 19006, 3245, 4591, 3455, 22642, 523, 630, 335, 4394, 523, 263, 2969, 264, 514, 8971, 1731, 26509, 328, 3613, 18636, 326, 691, 19709, 1070, 2904, 476, 3066, 476, 1220, 277, 281, 630, 9359, 264, 4746, 1297, 540, 9352, 12673, 540, 3259, 562, 266, 273, 5627, 519, 4806, 476, 18089, 269, 19577, 281, 13068, 585, 562, 815, 476, 271, 267, 476, 272, 267, 476, 273, 269, 1280, 562, 3436, 476, 273, 1142, 5569, 609, 4806, 476, 18089, 540, 3259, 562, 268, 272, 3947, 476, 273, 12673, 540, 3259, 562, 609, 519, 3959, 676, 813, 2056, 513, 3090, 269, 769, 1840, 1142, 5569, 540, 3259, 562, 268, 272, 1510, 476, 18089, 543, 10678, 538, 476, 4905, 8309, 835, 1007, 5569, 269, 9324, 1774, 676, 524, 16062, 9852, 264, 519, 1297, 540, 12673, 540, 3259, 544, 1510, 476, 18089, 543, 10678, 538, 530, 269, 4595, 972, 568, 513, 2698, 540, 476, 273, 317, 332, 12673, 540, 3259, 544, 267, 649, 723, 524, 318, 4905, 9852, 264, 815, 524, 318, 271, 9852, 268, 272, 264, 815, 630, 273, 3867, 332, 268, 272, 348, 910, 513, 9852, 268, 274, 4297, 910, 524, 318, 272, 9852, 268, 272, 264, 815, 630, 273, 3867, 332, 268, 272, 348, 910, 513, 9852, 268, 274, 4297, 910, 630, 273, 3867, 332, 268, 273, 348, 910, 513, 9852, 268, 275, 4297, 815, 476, 273, 3867, 332, 268, 273, 348, 910, 513, 9852, 268, 274, 264, 1341, 513, 9852, 268, 275, 264, 630, 1492, 1101, 543, 3791, 3160, 885, 1246, 689, 519, 1249, 602, 813, 2056, 513, 476, 272, 786, 711, 5352, 519, 4806, 1040, 634, 24088, 568, 513, 3799, 264, 815, 476, 273, 320, 3799, 268, 272, 264, 1341, 524, 318, 4905, 3799, 266, 272, 264, 815, 476, 273, 320, 3799, 268, 272, 264, 1341, 476, 273, 3867, 333, 268, 272, 348, 910, 513, 3799, 268, 273, 264, 1341, 513, 3799, 268, 274, 1040, 630, 17484, 264, 700, 2562, 16775, 1325, 12251, 623, 269, 26081, 345, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 271, 907, 1911, 271, 9119, 29571, 16510, 267, 1234, 2017, 5270, 1894, 910, 9352, 10799, 902, 12039, 13366, 585, 5276, 9888, 18384, 609, 3586, 14170, 267, 15040, 630, 275, 16427, 276, 267, 274, 16427, 273, 1040, 11123, 300, 308, 6369, 3245, 681, 2788, 5153, 7315, 267, 4119, 476, 866, 476, 1220, 275, 281, 630, 9359, 264, 513, 3799, 264, 815, 630, 272, 270, 274, 31618, 275, 265, 273, 18898, 1341, 589, 5881, 278, 280, 6078, 3799, 268, 272, 264, 910, 476, 273, 265, 288, 5881, 278, 280, 6078, 3799, 266, 272, 26895, 717, 8807, 12727, 1535, 270, 9230, 272, 268, 273, 20080, 31618, 272, 910, 476, 273, 20080, 1341, 1535, 317, 273, 910, 1535, 317, 274, 26895, 630, 17484, 264, 513, 3799, 264, 815, 589, 1822, 5881, 280, 3799, 266, 273, 264, 910, 589, 22650, 25172, 3799, 266, 276, 1040, 910, 1325, 12251, 623, 269, 26081, 345, 267, 4455, 476, 6734, 476, 1001, 273, 30684, 4041, 535, 28701, 22876, 3799, 264, 4781, 3314, 282, 952, 562, 27045, 272, 1287, 562, 3116, 952, 562, 27045, 274, 1287, 476, 278, 265, 333, 268, 1015, 282, 3116, 476, 273, 265, 325, 3799, 268, 272, 9984, 325, 3799, 268, 273, 11924, 325, 3799, 268, 274, 11924, 273, 22677, 333, 268, 272, 5148, 535, 328, 282, 535, 328, 282, 1439, 282, 1948, 2034, 32712, 1982, 281, 513, 281, 284, 562, 15010, 630, 28843, 271, 347, 272, 347, 271, 347, 271, 285, 267, 2999, 271, 347, 271, 347, 272, 347, 271, 285, 267, 2999, 271, 347, 271, 347, 271, 347, 272, 285, 267, 26013, 273, 347, 274, 347, 268, 276, 347, 275, 9563, 317, 333, 25011, 274, 267, 476, 275, 13912, 694, 336, 5416, 3799, 1070, 562, 284, 271, 907, 1789, 5148, 1948, 1325, 12251, 623, 269, 26081, 345, 267, 3057, 476, 2767, 476, 1001, 278, 13878, 26154, 2316, 7563, 562, 333, 284, 2004, 282, 513, 24210, 317, 273, 14370, 272, 14870, 8203, 273, 282, 29100, 314, 290, 4141, 2310, 8266, 314, 306, 7685, 314, 320, 1535, 14370, 272, 8584, 1535, 19422, 272, 268, 273, 343, 1070, 2715, 343, 267, 476, 271, 267, 562, 333, 348, 3910, 1535, 3910, 476, 273, 316, 30916, 2983, 32015, 7600, 10045, 267, 8734, 476, 2918, 476, 1001, 274, 2608, 264, 12430, 13434, 584, 5270, 314, 346, 275, 267, 910, 276, 267, 476, 274, 267, 910, 273, 9574, 2715, 271, 267, 476, 272, 267, 476, 275, 267, 476, 1556, 9574, 476, 3953, 316, 30916, 14639, 6363, 3757, 9809, 12251, 1325, 16225, 267, 4924, 476, 6187, 476, 1001, 277, 2608, 264, 595, 4629, 7704, 3918, 12396, 25627, 538, 2796, 281, 589, 15686, 3583, 277, 589, 271, 4097, 24833, 589, 271, 3607, 279, 3445, 2608, 589, 28510, 7597, 272, 589, 271, 5325, 5952, 280, 589, 1911, 28178, 1520, 329, 8809, 9696, 281, 589, 1822, 7742, 589, 1822, 25172, 589, 1822, 21857, 2608, 589, 1822, 22724, 589, 1822, 14838, 589, 1822, 16348, 26395, 312, 310, 16704, 1875, 333, 27483, 295, 3036, 26778, 1215, 12245, 630, 26400, 578, 12245, 263, 2969, 264, 636, 747, 12975, 264, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 5589, 757, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5412, 476, 276, 476, 6187, 281, 2537, 29643, 476, 1708, 273, 269, 1230, 13935, 476, 3374, 279, 276, 4281, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 9943, 692, 2971, 11289, 596, 585, 11578, 532, 780, 3080, 540, 938, 4081, 5646, 8688, 832, 786, 3346, 596, 1369, 476, 272, 2324, 1554, 780, 12812, 547, 13378, 692, 5197, 271, 268, 9083, 274, 268, 3422, 692, 266, 11011, 268, 6344, 268, 5379, 272, 20981, 271, 692, 290, 11286, 476, 271, 692, 1892, 476, 271, 692, 300, 312, 595, 11286, 630, 276, 2020, 8196, 595, 19281, 517, 281, 595, 11286, 736, 543, 1205, 476, 736, 260, 1055, 593, 782, 2228, 5530, 7698, 692, 3951, 4932, 454, 291, 4953, 288, 6579, 306, 454, 300, 14641, 454, 291, 3041, 4596, 7419, 307, 454, 293, 2562, 3201, 11553, 21201, 454, 13707, 12313, 281, 12652, 780, 2467, 616, 1100, 3688, 538, 713, 7047, 563, 25594, 19255, 4771, 454, 1892, 13159, 808, 7417, 6301, 270, 28723, 6092, 543, 4530, 10022, 454, 1892, 5508, 29052, 3633, 11553, 21201, 281, 12652, 269, 476, 1428, 267, 12010, 454, 1892, 7348, 19672, 692, 3499, 306, 9407, 6201, 593, 2983, 6248, 4273, 1833, 692, 26877, 755, 1674, 476, 272, 281, 1323, 12808, 717, 10422, 269, 814, 922, 1101, 2165, 607, 1535, 543, 2040, 607, 476, 276, 269, 3973, 1018, 568, 519, 2039, 540, 1535, 286, 630, 1220, 275, 2020, 11405, 281, 8827, 281, 649, 917, 602, 519, 2040, 540, 606, 12808, 717, 10422, 269, 568, 692, 306, 31236, 815, 513, 270, 630, 272, 8573, 1070, 952, 1923, 337, 347, 2999, 476, 272, 692, 284, 3980, 508, 267, 24748, 952, 1923, 337, 347, 21759, 476, 272, 692, 17798, 267, 590, 31236, 815, 1535, 14370, 272, 8573, 264, 815, 476, 276, 692, 7775, 476, 272, 8573, 815, 1535, 270, 276, 692, 17798, 267, 678, 815, 630, 276, 14870, 8358, 276, 6818, 1152, 950, 1923, 337, 347, 2999, 476, 272, 692, 17798, 267, 910, 272, 2999, 630, 276, 14870, 8358, 276, 2999, 272, 692, 268, 1015, 2999, 910, 343, 2999, 476, 271, 692, 3383, 713, 3947, 476, 271, 2999, 1535, 2999, 476, 1015, 780, 26877, 755, 1674, 476, 273, 281, 1109, 634, 3791, 2165, 540, 513, 12166, 11144, 568, 476, 275, 269, 1548, 568, 519, 1587, 540, 519, 1101, 2947, 2474, 2496, 11405, 281, 1934, 621, 568, 2016, 602, 512, 274, 815, 476, 275, 780, 17798, 267, 713, 1797, 818, 273, 815, 275, 692, 3086, 1587, 540, 1101, 2947, 2474, 25883, 320, 30784, 30784, 273, 30784, 274, 30784, 275, 692, 284, 513, 276, 337, 1015, 692, 284, 630, 541, 273, 264, 276, 692, 284, 476, 3393, 692, 26877, 755, 1674, 281, 6333, 606, 12808, 12166, 3126, 609, 1101, 2165, 2048, 320, 685, 543, 1455, 5223, 2048, 337, 9957, 4855, 519, 2418, 540, 2048, 320, 685, 543, 2048, 337, 685, 952, 922, 2034, 2165, 568, 476, 382, 378, 543, 922, 2040, 568, 476, 275, 780, 11405, 281, 898, 568, 2016, 538, 519, 2243, 602, 519, 2034, 2165, 568, 476, 382, 378, 543, 519, 2040, 568, 476, 275, 780, 10702, 267, 519, 1101, 2165, 568, 2048, 320, 685, 543, 519, 1455, 5223, 568, 2048, 337, 685, 780, 17798, 267, 649, 723, 513, 270, 630, 272, 8573, 264, 815, 476, 275, 543, 818, 815, 476, 274, 270, 275, 780, 1607, 3947, 519, 1871, 540, 678, 607, 476, 274, 270, 275, 320, 780, 3383, 267, 476, 275, 320, 273, 14370, 275, 320, 268, 274, 264, 815, 476, 275, 692, 1607, 3947, 630, 320, 268, 272, 7565, 320, 268, 274, 264, 815, 476, 271, 692, 17798, 267, 513, 815, 476, 272, 610, 476, 274, 780, 2691, 513, 815, 476, 272, 1287, 678, 815, 274, 270, 275, 543, 950, 513, 815, 476, 274, 1287, 678, 815, 476, 272, 270, 275, 780, 7884, 2162, 6092, 17972, 692, 1892, 476, 278, 2764, 11473, 700, 624, 999, 454, 1892, 31280, 11872, 454, 1892, 19881, 5729, 14430, 454, 1892, 9650, 10934, 454, 1892, 5530, 4643, 1676, 454, 1892, 19436, 10298, 454, 1892, 17564, 17072, 454, 1892, 4530, 1957, 609, 11473, 8827, 0, 1012, 12309, 14466 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18953, 519, 8880, 1899, 454, 663, 1665, 519, 1448, 540, 3346, 609, 661, 780, 273, 544, 1164, 267, 865, 602, 476, 272, 269, 276, 544, 540, 519, 28506, 3785, 3564, 519, 3774, 1797, 1384, 6195, 815, 476, 273, 544, 692, 3722, 815, 476, 276, 910, 476, 272, 269, 276, 815, 476, 274, 269, 276, 544, 692, 6523, 16564, 815, 7460, 1315, 8028, 815, 476, 273, 1315, 476, 274, 269, 276, 815, 476, 271, 269, 6872, 272, 275, 2764, 6872, 272, 692, 15184, 815, 5430, 22397, 375, 382, 373, 630, 476, 271, 269, 6872, 272, 275, 2764, 6872, 272, 3738, 815, 476, 4649, 269, 5611, 272, 4113, 815, 476, 4649, 4113, 476, 280, 28847, 5804, 519, 16726, 540, 12730, 1384, 6195, 1315, 8028, 815, 16692, 1315, 5084, 692, 7712, 7460, 815, 476, 273, 544, 2073, 8028, 815, 476, 274, 269, 276, 544, 2073, 5084, 815, 476, 276, 544, 1384, 273, 1315, 476, 274, 269, 276, 815, 16692, 1315, 476, 276, 692, 15899, 9062, 780, 1015, 815, 476, 274, 269, 276, 3980, 503, 16692, 692, 14701, 815, 476, 1015, 1315, 476, 274, 269, 276, 815, 476, 273, 269, 5952, 278, 16318, 5952, 278, 272, 692, 14701, 9881, 486, 476, 273, 269, 10436, 544, 692, 21228, 1693, 454, 7230, 1046, 1384, 6523, 22397, 375, 382, 373, 3006, 2854, 607, 818, 764, 657, 865, 10484, 15184, 815, 5430, 22397, 375, 382, 373, 630, 476, 271, 269, 6872, 272, 275, 2764, 6872, 272, 3738, 815, 476, 4649, 269, 5611, 272, 4113, 815, 476, 4649, 4113, 476, 280, 28847, 529, 519, 1482, 607, 692, 15184, 815, 818, 764, 657, 630, 476, 271, 269, 6872, 272, 275, 2764, 6872, 272, 3738, 815, 476, 4649, 269, 5611, 272, 4113, 815, 476, 4649, 4113, 476, 280, 28847, 19749, 486, 1797, 5111, 3160, 454, 21228, 30668, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 21508, 373, 20804, 454, 275, 269, 9462, 504, 358, 0, 2791, 616, 3371, 281, 5851, 3436, 283, 13174, 692, 258, 631, 9298, 589, 5426, 13174, 27387, 631, 298, 4083, 13772, 692, 272, 269, 630, 24314, 2022, 676, 29382, 9802, 525, 994, 11039, 267, 4244, 569, 1384, 8967, 334, 8814, 912, 17004, 692, 1607, 1287, 3947, 721, 519, 1482, 3364, 607, 519, 681, 9391, 267, 3177, 602, 2073, 799, 568, 4010, 519, 1267, 649, 6508, 1210, 519, 824, 1505, 780, 9827, 1384, 296, 3494, 602, 7605, 29560, 781, 2856, 540, 6305, 2338, 568, 2965, 513, 1732, 1259, 540, 21365, 519, 2243, 267, 1317, 621, 666, 581, 6905, 547, 2665, 1141, 1312, 2338, 616, 9642, 610, 1312, 1256, 269, 585, 1383, 1384, 8967, 334, 8814, 912, 17004, 692, 3682, 557, 602, 568, 19450, 780, 10112, 2541, 519, 6587, 1775, 4318, 780, 4517, 649, 1287, 1205, 547, 1384, 3086, 267, 707, 9642, 543, 1256, 2093, 4465, 1405, 960, 1934, 269, 1717, 267, 596, 666, 2161, 602, 267, 1100, 2339, 875, 1082, 2053, 596, 9062, 476, 276, 676, 3294, 267, 621, 786, 2760, 2744, 513, 3815, 540, 476, 278, 630, 663, 13030, 268, 951, 320, 264, 865, 607, 547, 17589, 519, 27171, 596, 2811, 1310, 780, 11039, 267, 596, 2811, 2965, 1318, 563, 273, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 2690, 782, 454, 274, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 2690, 782, 454, 275, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 312, 788, 454, 4692, 594, 723, 513, 2147, 835, 2663, 593, 607, 513, 1900, 909, 543, 547, 2638, 952, 594, 1205, 621, 5265, 561, 11169, 454, 276, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 2690, 782, 454, 3682, 557, 602, 692, 810, 922, 10416, 6031, 28171, 602, 568, 538, 519, 1305, 540, 32311, 1023, 568, 711, 7787, 585, 782, 2067, 2338, 562, 692, 339, 582, 958, 11821, 267, 798, 594, 723, 547, 6961, 621, 568, 711, 7787, 585, 782, 2067, 2338, 562, 454, 277, 269, 630, 24314, 2022, 676, 20259, 345, 994, 4692, 594, 723, 513, 2147, 835, 2663, 593, 607, 513, 1900, 909, 543, 547, 2638, 952, 594, 1205, 621, 5265, 561, 11169, 454, 306, 675, 912, 3963, 711, 723, 513, 979, 693, 21634, 1460, 781, 1966, 912, 3682, 557, 602, 281, 568, 19450, 454, 278, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 3682, 557, 602, 692, 810, 922, 10416, 6031, 28171, 602, 568, 538, 519, 1305, 540, 32311, 1023, 568, 711, 7787, 585, 782, 2067, 2338, 562, 692, 339, 582, 958, 11821, 267, 798, 594, 723, 547, 6961, 621, 568, 711, 7787, 585, 782, 2067, 2338, 562, 454, 8133, 547, 519, 12050, 454, 279, 269, 19577, 602, 12631, 266, 324, 568, 606, 19450, 563, 296, 2731, 1810, 1405, 917, 952, 602, 568, 2653, 610, 2182, 267, 1175, 2219, 827, 621, 563, 280, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 8133, 547, 519, 12050, 454, 8967, 334, 8814, 912, 17004, 692, 30787, 909, 606, 4082, 2676, 2252, 922, 2938, 3020, 585, 562, 284, 272, 267, 1287, 8263, 3020, 585, 562, 284, 330, 971, 602, 692, 663, 952, 7787, 1287, 692, 2690, 2318, 9981, 562, 692, 2252, 849, 3020, 585, 562, 284, 330, 267, 1287, 849, 3020, 585, 562, 284, 330, 266, 272, 971, 602, 692, 5591, 2856, 25473, 692, 1015, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 306, 675, 912, 3963, 711, 723, 513, 979, 693, 21634, 1460, 781, 1966, 912, 3682, 557, 602, 281, 568, 19450, 454, 302, 330, 904, 1955, 320, 3548, 12129, 543, 3049, 1250, 562, 19991, 1287, 1775, 3513, 3801, 621, 267, 530, 334, 2129, 5622, 20743, 454, 1556, 269, 630, 24314, 2022, 676, 10790, 344, 2006, 1321, 994, 27893, 602, 12631, 266, 324, 568, 606, 19450, 563, 296, 2731, 1810, 1405, 917, 952, 602, 568, 2653, 610, 2182, 267, 1175, 2219, 827, 621, 563, 296, 1810, 1405, 1589, 972, 568, 1256, 513, 6169, 585, 713, 910, 972, 568, 513, 1305, 540, 827, 476, 276, 10659, 540, 14039, 543, 552, 267, 799, 723, 711, 1044, 8810, 7787, 610, 19450, 267, 1152, 602, 1152, 865, 1082, 666, 581, 7787, 610, 19450, 563, 1321, 269, 630, 24314, 2022, 676, 10790, 344, 2006, 1321, 994, 27893, 602, 12631, 266, 324, 568, 606, 19450, 563, 296, 2731, 1810, 1405, 917, 952, 602, 568, 2653, 610, 2182, 267, 1175, 2219, 827, 621, 563, 6701, 596, 512, 13764, 898, 781, 711, 1634, 1141, 568, 19450, 2483, 1724, 269, 630, 24314, 2022, 676, 29382, 9802, 525, 994, 296, 1810, 1405, 1589, 972, 568, 1256, 513, 6169, 585, 713, 910, 972, 568, 513, 1305, 540, 827, 476, 276, 10659, 540, 14039, 543, 552, 267, 799, 723, 711, 1044, 8810, 7787, 610, 19450, 267, 1152, 602, 1152, 865, 1082, 666, 581, 7787, 610, 19450, 563, 263, 24314, 2022, 676, 21634, 1460, 21634, 545, 529, 994, 6701, 596, 512, 13764, 898, 781, 711, 1634, 1141, 568, 19450, 2483, 296, 1175, 2219, 827, 621, 267, 4769, 1405, 1256, 3406, 621, 563, 1691, 269, 630, 24314, 2022, 676, 10790, 344, 2006, 1321, 994, 27893, 602, 12631, 266, 324, 568, 606, 19450, 563, 296, 2731, 1810, 1405, 917, 952, 602, 568, 2653, 610, 2182, 267, 1175, 2219, 827, 621, 563, 10112, 11167, 602, 649, 917, 1312, 543, 616, 7787, 267, 543, 602, 543, 616, 16637, 1581, 596, 666, 3362, 6961, 602, 2901, 610, 610, 1312, 616, 19450, 454, 3719, 513, 1697, 3070, 666, 1405, 581, 1336, 454, 1428, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 8967, 334, 8814, 912, 17004, 692, 30787, 909, 606, 4082, 2676, 2252, 922, 2938, 3020, 585, 562, 284, 272, 267, 1287, 8263, 3020, 585, 562, 284, 330, 971, 602, 692, 663, 952, 7787, 1287, 692, 2690, 2318, 9981, 562, 692, 2252, 849, 3020, 585, 562, 284, 330, 267, 1287, 849, 3020, 585, 562, 284, 330, 266, 272, 971, 602, 692, 5591, 2856, 25473, 692, 28989, 910, 519, 751, 343, 729, 4440, 2182, 547, 1224, 563, 2005, 781, 476, 272, 270, 274, 18898, 454, 1626, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 28989, 910, 519, 751, 343, 729, 4440, 2182, 547, 1224, 563, 2005, 781, 476, 272, 270, 274, 18898, 454, 21036, 267, 1022, 2489, 2161, 476, 274, 2798, 594, 1058, 2832, 547, 798, 950, 21365, 713, 2243, 267, 543, 6148, 594, 666, 4137, 519, 1964, 856, 2496, 8649, 594, 17935, 547, 1265, 513, 27171, 585, 562, 284, 330, 266, 272, 888, 1704, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 21036, 267, 1022, 2489, 2161, 476, 274, 2798, 594, 1058, 2832, 547, 798, 950, 21365, 713, 2243, 267, 543, 6148, 594, 666, 4137, 519, 1964, 856, 2496, 8649, 594, 17935, 547, 1265, 513, 27171, 585, 562, 284, 330, 266, 272, 888, 5591, 910, 621, 781, 15632, 596, 1616, 269, 2659, 4493, 2013, 568, 562, 284, 272, 267, 799, 596, 4312, 2907, 9863, 454, 1240, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 5591, 910, 621, 781, 15632, 596, 1616, 269, 2659, 4493, 2013, 568, 562, 284, 272, 267, 799, 596, 4312, 2907, 9863, 454, 14738, 855, 729, 594, 593, 519, 1318, 2619, 2063, 942, 286, 594, 1305, 621, 3160, 547, 513, 11486, 950, 649, 616, 3843, 547, 6961, 621, 547, 581, 19450, 286, 2107, 568, 519, 27171, 3294, 519, 31602, 6169, 888, 866, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 14738, 855, 729, 594, 593, 519, 1318, 2619, 2063, 942, 286, 594, 1305, 621, 3160, 547, 513, 11486, 950, 649, 616, 3843, 547, 6961, 621, 547, 581, 19450, 286, 2107, 568, 519, 27171, 3294, 519, 31602, 6169, 888, 2791, 949, 581, 2111, 547, 798, 865, 267, 855, 513, 3044, 6169, 676, 15632, 568, 782, 602, 781, 2838, 563, 10112, 2541, 3020, 585, 562, 284, 330, 454, 17004, 602, 621, 781, 5812, 609, 562, 284, 330, 266, 272, 454, 736, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 14738, 855, 729, 594, 593, 519, 1318, 2619, 2063, 942, 286, 594, 1305, 621, 3160, 547, 513, 11486, 950, 649, 616, 3843, 547, 6961, 621, 547, 581, 19450, 286, 2107, 568, 519, 27171, 3294, 519, 31602, 6169, 888, 9827, 594, 1058, 4312, 5143, 596, 602, 585, 1022, 19450, 1535, 1384, 15987, 621, 781, 959, 643, 6053, 2241, 547, 17429, 576, 692, 4811, 305, 8081, 12243, 692, 2171, 723, 513, 13085, 2319, 540, 811, 982, 476, 2568, 8081, 12243, 2818, 3168, 1310, 5717, 593, 634, 9906, 18740, 267, 4543, 547, 1118, 621, 513, 1187, 267, 2922, 543, 3730, 1747, 547, 13793, 856, 780, 1607, 8468, 568, 6462, 676, 912, 24993, 281, 5147, 476, 1015, 267, 476, 1001, 274, 454, 9213, 593, 570, 17876, 692, 2162, 1772, 713, 1268, 513, 21184, 2496, 1862, 5976, 891, 589, 5426, 2164, 2496, 2162, 594, 1589, 594, 6415, 19574, 589, 7246, 692, 11577, 21631, 593, 570, 17876, 692, 1892, 26257, 454, 1892, 12361, 6423, 811, 540, 1018, 596, 899, 593, 634, 9906, 18740, 692, 2791, 666, 2123, 1047, 1018, 596, 1294, 593, 570, 17876, 269, 15681, 721, 513, 2370, 827, 3054, 547, 1205, 3323, 780, 1892, 15724, 454, 8196, 995, 2200, 692, 4692, 596, 948, 286, 5530, 948, 796, 753, 26833, 16060, 19138, 6435, 3652, 543, 20171, 4808, 17442, 307, 1410, 3391, 585, 1603, 4834, 593, 570, 17876, 692, 1012, 20492, 2404, 609, 713, 8468, 1384, 8698, 2404, 2516, 454, 11577, 21631, 593, 570, 17876, 692, 1892, 26257, 454, 1892, 12361, 6423, 811, 540, 1018, 596, 899, 593, 634, 9906, 18740, 692, 2791, 666, 2123, 1047, 1018, 596, 1294, 593, 570, 17876, 269, 15681, 721, 513, 2370, 827, 3054, 547, 1205, 3323, 780, 1892, 634, 9906, 18740, 267, 5192, 4860, 2358, 543, 4460, 539, 676, 11334, 616, 9467, 4408, 540, 634, 9906, 18740, 6828, 13456, 780, 8802, 3563, 7089, 281, 476, 271, 5379, 5780, 274, 3199, 630, 8777, 1633, 543, 12986, 1070, 966, 2969, 3143, 269, 476, 3199, 277, 476, 3199, 277, 278, 476, 2420, 21362, 1229, 8433, 281, 4139, 5600, 267, 19803, 10003, 267, 24761, 517, 267, 645, 301, 272, 476, 274, 311, 292, 692, 11847, 16615, 21889, 281, 1411, 1205, 891, 21889, 607, 596, 2744, 1065, 689, 824, 2818, 585, 1818, 1434, 7418, 543, 4758, 5363, 5796, 269, 0, 1012, 9351, 540, 513, 667, 1712, 322, 6782, 692, 22428, 596, 1616, 547, 1265, 519, 1858, 540, 513, 546, 1712, 322, 6782, 27485, 538, 513, 5858, 540, 8953, 476, 272, 269, 2290, 1259, 547, 798, 713, 568, 547, 7941, 519, 546, 1712, 322, 6782, 883, 476, 1321, 568, 30801, 12730, 609, 1079, 5011, 540, 3259, 476, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 878, 585, 6103, 476, 276, 4149, 21283, 4041, 476, 1704, 3503, 513, 12726, 31745, 528, 7433, 609, 2659, 4147, 476, 1240, 10432, 476, 272, 654, 9879, 5455, 547, 5675, 32722, 270, 26855, 2163, 5675, 609, 24771, 4841, 5517, 543, 32722, 19671, 5750, 268, 476, 273, 526, 3446, 594, 666, 2731, 946, 713, 538, 1250, 4928, 2336, 8196, 950, 3450, 5517, 1315, 32722, 538, 2542, 3095, 547, 32722, 1603, 269, 5517, 32722, 31745, 528, 15873, 910, 26479, 540, 1312, 267, 1806, 540, 1142, 11341, 547, 519, 1482, 1641, 630, 20597, 8636, 956, 264, 5517, 610, 6644, 6423, 811, 563, 296, 5828, 1403, 707, 2034, 3446, 1053, 616, 2324, 593, 6644, 1603, 267, 596, 949, 581, 3168, 585, 513, 1906, 2645, 547, 1205, 3323, 269, 32722, 5675, 585, 476, 273, 526, 27240, 619, 269, 2904, 476, 277, 267, 594, 5828, 547, 26964, 543, 1336, 713, 19671, 5750, 269, 634, 3312, 2707, 729, 14970, 267, 11146, 267, 700, 2795, 267, 6258, 3689, 6103, 267, 799, 1100, 3476, 4667, 547, 581, 606, 3742, 5816, 6185, 5877 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 4502, 1310, 476, 1015, 1296, 286, 476, 1240, 267, 12208, 269, 3393, 476, 4281, 267, 1220, 476, 1240, 267, 280, 6078, 269, 7176, 476, 7597, 267, 1822, 476, 1240, 267, 12208, 269, 3393, 589, 8096, 7785, 271, 9030, 1274, 985, 476, 279, 260, 1719, 31903, 10859, 12422, 1310, 476, 3374, 692, 275, 269, 12693, 7223, 692, 307, 26474, 1902, 338, 8096, 276, 267, 1822, 12422, 693, 476, 277, 260, 543, 8096, 276, 267, 1822, 12422, 693, 476, 279, 10065, 7338, 1902, 338, 8096, 1015, 267, 1822, 12422, 693, 476, 278, 10065, 6904, 3948, 8308, 19776, 519, 1079, 9541, 952, 1719, 568, 31903, 12422, 2496, 272, 269, 12693, 10789, 692, 288, 8096, 277, 267, 4968, 269, 876, 9030, 1274, 985, 476, 277, 260, 1719, 267, 31903, 12422, 269, 2991, 476, 274, 1296, 267, 1018, 568, 519, 3666, 538, 519, 2272, 286, 513, 269, 8096, 272, 267, 11740, 267, 8517, 269, 876, 536, 269, 8096, 278, 267, 2004, 274, 269, 2412, 524, 269, 8096, 278, 267, 275, 4097, 269, 876, 30995, 546, 269, 8096, 1839, 267, 3199, 275, 269, 3199, 692, 273, 269, 12693, 4569, 692, 288, 9806, 2272, 1274, 985, 476, 276, 260, 2241, 1719, 829, 1032, 269, 634, 9030, 568, 8096, 6344, 271, 269, 1548, 568, 519, 3666, 1310, 476, 275, 1296, 2496, 274, 269, 12693, 4569, 692, 5719, 3570, 1902, 338, 930, 2724, 602, 1274, 985, 1719, 31903, 12422, 269, 2311, 519, 1439, 540, 519, 1101, 1032, 267, 1352, 1274, 985, 8096, 6110, 538, 1719, 269, 2311, 519, 1439, 540, 519, 2034, 1032, 267, 1352, 1274, 985, 8096, 28242, 538, 1719, 269, 513, 264, 1018, 1719, 2557, 267, 31903, 12422, 267, 568, 692, 275, 269, 12693, 4569, 6744, 3733, 4518, 7490, 476, 273, 692, 1428, 269, 23436, 3217, 513, 10211, 540, 8096, 1015, 267, 4335, 693, 513, 476, 280, 260, 2241, 1719, 2557, 585, 476, 278, 1296, 269, 513, 269, 1215, 1454, 1719, 786, 1352, 2628, 1310, 476, 274, 1296, 286, 536, 269, 1215, 1454, 1719, 786, 1352, 2628, 538, 2698, 585, 519, 10211, 286, 8096, 273, 267, 279, 3374, 269, 876, 393, 378, 8096, 277, 267, 277, 1428, 269, 876, 8096, 279, 267, 18231, 269, 876, 393, 378, 8096, 280, 267, 24798, 269, 876, 22177, 272, 269, 12693, 14691, 20603, 543, 5071, 630, 15276, 286, 2020, 17637, 513, 16468, 4058, 9498, 585, 4787, 1638, 532, 674, 4532, 2574, 7896, 269, 2353, 334, 513, 3593, 547, 4283, 513, 1297, 540, 2324, 1296, 6967, 538, 519, 3593, 781, 4876, 543, 519, 5993, 2179, 540, 2724, 519, 3593, 666, 4688, 269, 27539, 602, 519, 3593, 1274, 985, 692, 273, 269, 12693, 2979, 268, 840, 11810, 692, 9767, 616, 7263, 1746, 8096, 1911, 271, 9489, 538, 513, 9806, 2272, 543, 616, 2016, 519, 1739, 3681, 269, 476, 277, 269, 273, 260, 5993, 1719, 2557, 267, 31903, 12422, 476, 277, 269, 272, 260, 5993, 1719, 2557, 267, 31903, 10116, 569, 476, 277, 269, 271, 260, 5993, 1719, 2557, 267, 31903, 692, 274, 269, 12693, 7223, 692, 22772, 519, 3666, 538, 519, 2272, 267, 476, 20065, 271, 9030, 15980, 476, 275, 9077, 31903, 12422, 267, 1310, 476, 274, 1296, 2496, 275, 269, 12693, 4569, 692, 763, 9046, 281, 1411, 3094, 519, 6264, 16101, 593, 513, 3014, 1397, 269, 1411, 723, 519, 1739, 5079, 281, 26840, 476, 272, 281, 8096, 272, 2173, 11669, 9489, 6976, 607, 513, 8096, 1839, 476, 1822, 3045, 8462, 1169, 1032, 936, 476, 2412, 1296, 269, 26840, 476, 273, 281, 634, 1459, 1871, 540, 4781, 476, 272, 952, 519, 1699, 1719, 0, 258, 1215, 1082, 25586, 1014, 11708, 609, 1269, 333, 259, 14622, 692, 1692, 1082, 25586, 1014, 11708, 609, 1269, 333, 259, 14622, 971, 602, 4399, 1721, 718, 642, 22174, 966, 281, 323, 17635, 264, 283, 275, 259, 616, 972, 286, 630, 9616, 519, 3113, 3085, 1405, 723, 547, 581, 4448, 24355, 296, 666, 1405, 4383, 547, 1265, 606, 2626, 269, 634, 14191, 594, 3893, 729, 1269, 273, 3867, 333, 4151, 855, 602, 781, 1318, 1152, 585, 1269, 333, 315, 19008, 476, 274, 16859, 12179, 2093, 2496, 3383, 594, 1832, 6836, 543, 2219, 540, 602, 1384, 4131, 1269, 321, 5332, 259, 581, 519, 1297, 540, 4448, 25586, 1014, 11708, 609, 562, 14622, 269, 1269, 321, 5332, 284, 272, 259, 585, 1269, 333, 315, 19008, 476, 274, 259, 543, 1269, 321, 5332, 14352, 333, 268, 272, 264, 321, 3709, 333, 268, 272, 4151, 585, 1269, 333, 315, 28254, 476, 275, 16859, 4131, 1269, 320, 5332, 259, 581, 519, 1297, 540, 25586, 1014, 11708, 609, 562, 14622, 630, 1492, 1297, 649, 1616, 547, 1265, 1040, 1269, 320, 5332, 7807, 8999, 3709, 328, 284, 271, 11892, 333, 23533, 315, 577, 5366, 1775, 348, 321, 10983, 6911, 763, 2601, 568, 602, 649, 3442, 1269, 328, 259, 14622, 547, 581, 519, 14622, 602, 616, 4448, 630, 9767, 666, 2161, 834, 4820, 540, 519, 1483, 3113, 257, 1317, 519, 1866, 1810, 1405, 2339, 267, 519, 25586, 2619, 3884, 1405, 8429, 998, 873, 264, 543, 1287, 649, 9062, 621, 676, 519, 1297, 540, 25586, 9979, 649, 666, 1628, 689, 873, 269, 1924, 649, 1205, 513, 2040, 540, 20270, 333, 315, 577, 5366, 1775, 4153, 10383, 536, 10983, 6911, 2005, 781, 7168, 2653, 547, 1294, 1269, 321, 5332, 259, 568, 899, 519, 27353, 5311, 609, 513, 2370, 1689, 269, 1284, 786, 1205, 1269, 321, 5332, 7807, 2765, 18950, 333, 268, 272, 25631, 2410, 273, 256, 4151, 585, 1269, 333, 315, 28254, 476, 275, 6911, 4517, 865, 649, 3893, 1269, 320, 5332, 284, 273, 18898, 259, 585, 1269, 333, 315, 19008, 476, 274, 259, 543, 1269, 320, 5332, 7807, 8999, 3709, 328, 284, 271, 11892, 274, 23533, 315, 577, 5366, 1775, 23180, 8999, 3709, 328, 284, 275, 11892, 333, 2715, 333, 315, 577, 5366, 1775, 4153, 2765, 18950, 328, 268, 272, 25631, 2410, 273, 256, 4151, 585, 1269, 333, 315, 28254, 476, 275, 6911, 3674, 602, 2953, 2496, 2252, 621, 568, 267, 568, 972, 1022, 1259, 547, 1205, 7759, 540, 519, 4399, 8999, 259, 2496, 1892, 1403, 513, 3113, 814, 606, 25586, 1014, 2619, 1287, 621, 1590, 581, 4448, 7790, 3267, 3657, 707, 519, 11708, 31002, 610, 796, 18350, 8215, 7790, 1107, 1109, 291, 10735, 590, 680, 13616, 342, 527, 7325, 476, 2764, 1412, 1704, 693, 476, 1015, 281, 4510, 454, 1892, 7711, 291, 10735, 306, 680, 13616, 342, 527, 606, 25586, 1014, 13009, 3096, 1169, 6316, 267, 865, 1169, 6316, 1590, 581, 538, 519, 1482, 5057, 269, 901, 3884, 1405, 519, 1482, 607, 1373, 4448, 267, 607, 596, 1223, 723, 9678, 14622, 269, 1107, 1109, 19324, 2403, 700, 830, 7325, 476, 2764, 1412, 1704, 693, 476, 1015, 281, 4366, 454, 1892, 7711, 19324, 2403, 299, 830, 2986, 1576, 972, 1522, 581, 2357, 6776, 625, 609, 1130, 1890, 4642, 269, 630, 5445, 786, 711, 581, 4448, 264, 3267, 8729, 585, 8744, 713, 547, 1250, 3007, 269, 1107, 1109, 291, 10735, 590, 680, 13616, 342, 527, 7325, 476, 2764, 1412, 1704, 693, 476, 1015, 281, 7871, 692, 2252, 513, 3113, 568, 25586, 1014, 1287, 1269, 323, 17635, 7751, 814, 547, 581, 1256, 585, 1169, 1269, 341, 10608, 1403, 1269, 323, 17635, 264, 283, 275, 259, 1287, 972, 616, 1152, 1079, 3681, 281, 1269, 271, 259, 543, 1269, 273, 16859, 2252, 1169, 14584, 814, 4110, 1269, 271, 259, 610, 1269, 273, 259, 1287, 519, 3113, 568, 513, 9769, 540, 9979, 543, 9678, 14622, 780, 3383, 267, 799, 11708, 540, 713, 1106, 616, 2965, 25586, 1014, 286, 2052, 596, 1293, 519, 3283, 602, 616, 2496, 1548, 596, 4312, 3773, 568, 630, 296, 1631, 29311, 264, 2953, 585, 1617, 15572, 338, 269, 594, 3893, 3230, 320, 5332, 284, 272, 10954, 8999, 3709, 328, 284, 274, 11892, 333, 315, 16535, 558, 562, 328, 21702, 18950, 328, 268, 272, 25631, 2410, 273, 9574, 2330, 855, 594, 729, 14322, 2241, 11708, 780, 296, 666, 1405, 1294, 875, 547, 2057, 519, 2040, 780, 1892, 594, 1589, 596, 1611, 1018, 594, 1175, 3773, 267, 666, 596, 1413, 693, 1018, 594, 3773, 5225, 286, 2433, 291, 1107, 1109, 1087, 1087, 338, 7325, 476, 2764, 1412, 1704, 693, 476, 1556, 281, 1015, 454, 1892, 4208, 568, 1269, 320, 318, 272, 284, 272, 259, 286, 898, 666, 2901, 581, 513, 3113, 609, 1269, 309, 28121, 320, 4151, 543, 1269, 292, 7807, 3319, 903, 564, 259, 610, 1269, 292, 284, 18950, 320, 28083, 264, 4151, 865, 1269, 320, 318, 272, 284, 273, 259, 596, 1522, 581, 19451, 609, 1269, 321, 5332, 259, 799, 972, 621, 568, 476, 272, 855, 1269, 321, 318, 274, 284, 272, 259, 1317, 2705, 596, 798, 606, 25586, 1014, 3113, 609, 476, 274, 14622, 621, 786, 782, 1811, 581, 519, 1482, 630, 26421, 14584, 814, 519, 1482, 12543, 264, 543, 865, 1269, 321, 318, 274, 284, 272, 10608, 1411, 1522, 581, 19451, 609, 1018, 594, 5921, 1269, 320, 5332, 259, 543, 1269, 321, 5332, 259, 4564, 1107, 1109, 1087, 1087, 338, 7325, 476, 2764, 1412, 1704, 693, 476, 1691, 281, 5392, 454, 1892, 5221, 602, 781, 711, 1454, 267, 596, 666, 1256, 2328, 1524, 782, 519, 3681, 585, 562, 284, 274, 269, 3973, 596, 786, 1294, 1269, 320, 318, 274, 284, 279, 259, 1107, 1109, 1087, 1087, 338, 7325, 476, 2764, 1412, 1704, 693, 476, 1428, 281, 5400, 454, 1892, 13259, 267, 594, 729, 14322, 2241, 11708, 630, 3602, 519, 1152, 7399, 585, 1269, 333, 284, 274, 259, 616, 519, 2347, 3113, 543, 519, 8900, 3113, 1040, 1403, 17787, 543, 2789, 8728, 616, 4847, 1287, 594, 1174, 1946, 707, 4542, 568, 1318, 269, 1107, 1109, 19324, 2403, 700, 830, 7325, 476, 2764, 1412, 1704, 693, 476, 1428, 281, 7367, 454, 1892, 570, 4454, 865, 267, 855, 594, 2760, 1767, 1152, 2241, 11708, 2433, 264, 1107, 1109, 1087, 1087, 338, 7325, 476, 3066, 1412, 1704, 693, 476, 1556, 281, 5881, 0, 258, 681, 1497, 1948, 2735, 692, 1012, 13201, 547, 581, 7745, 692, 1432, 814, 547, 581, 7745, 1354, 596, 666, 946, 621, 888, 2304, 4212, 563, 10019, 269, 4366, 1109, 30515, 1012, 2052, 581, 3032, 3481, 855, 711, 28520, 692, 1432, 666, 596, 6952, 855, 711, 12235, 888, 288, 4411, 563, 9262, 269, 1691, 1109, 30515, 1012, 670, 1841, 13004, 1297, 692, 8620, 513, 1297, 1210, 1152, 519, 9704, 476, 275, 267, 275, 267, 274, 267, 274, 267, 273, 267, 273, 267, 272, 543, 476, 272, 269, 1924, 594, 666, 1152, 581, 5216, 9704, 269, 1411, 723, 547, 1118, 2386, 519, 3283, 616, 9674, 676, 835, 7857, 267, 519, 1000, 657, 616, 9674, 676, 1079, 9704, 519, 555, 4181, 616, 9674, 609, 1614, 9704, 543, 519, 2185, 338, 616, 9674, 676, 2185, 9704, 563, 31979, 14862, 3953, 563, 5952, 269, 10602, 1109, 30515, 1012, 898, 2141, 13978, 3905, 692, 2005, 2141, 13978, 3905, 1256, 950, 2322, 538, 21067, 256, 1548, 568, 602, 888, 8248, 3899, 563, 5952, 269, 6858, 1109, 30515, 1012, 4347, 2056, 519, 8115, 692, 10521, 7980, 267, 5261, 543, 6599, 534, 267, 616, 8655, 547, 9856, 513, 8115, 267, 799, 13462, 519, 4639, 543, 5101, 5011, 540, 519, 4279, 8003, 269, 3962, 17199, 568, 10288, 547, 1796, 693, 606, 1439, 540, 519, 8115, 547, 1118, 2386, 1100, 20737, 3444, 269, 2201, 835, 2427, 540, 519, 8115, 6763, 5261, 267, 8384, 936, 519, 4639, 2427, 540, 519, 10806, 267, 543, 1818, 2386, 1100, 695, 8014, 3197, 2119, 547, 3444, 519, 8115, 269, 6599, 534, 6763, 593, 519, 824, 2427, 540, 519, 8115, 267, 6849, 519, 5101, 2427, 540, 519, 10806, 609, 1010, 29461, 693, 519, 4712, 538, 2013, 1022, 20737, 2119, 547, 1780, 2066, 269, 834, 12179, 20737, 2221, 8119, 5261, 12134, 269, 6599, 534, 20061, 1010, 4064, 269, 834, 1432, 798, 596, 1589, 8119, 646, 12134, 269, 834, 2791, 5066, 707, 4064, 1932, 1454, 2437, 5261, 3081, 269, 1215, 1223, 5261, 2995, 602, 6599, 534, 729, 12902, 1010, 4064, 888, 19365, 568, 593, 519, 7532, 2427, 540, 519, 8115, 267, 6849, 519, 4639, 2427, 540, 519, 10806, 267, 1247, 6599, 534, 568, 593, 519, 7178, 2427, 540, 519, 8115, 267, 6849, 519, 5101, 2427, 540, 519, 10806, 269, 1924, 5261, 543, 6599, 534, 616, 6849, 1142, 824, 267, 543, 666, 1294, 1142, 824, 781, 8188, 563, 5952, 269, 4375, 1109, 30515, 1012, 5381, 640, 1063, 513, 11480, 543, 513, 1480, 1373, 692, 1432, 568, 519, 16726, 1063, 513, 11480, 543, 513, 1480, 1373, 888, 13828, 723, 683, 4242, 563, 10019, 269, 3199, 1109, 30515, 1012, 1323, 3504, 8798, 692, 1432, 568, 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 ]
[ 1682, 454, 1892, 4197, 519, 1614, 5506, 24936, 1682, 1765, 12061, 268, 10864, 18356, 267, 3339, 1436, 267, 543, 1039, 6638, 1765, 25075, 1938, 513, 7811, 5943, 585, 5506, 9273, 269, 1452, 24936, 1682, 2327, 602, 519, 8655, 17831, 15666, 547, 9266, 543, 5812, 3741, 780, 1012, 17438, 6156, 566, 692, 1103, 519, 2295, 540, 2625, 8494, 2065, 3408, 6013, 519, 1148, 540, 5506, 19106, 269, 901, 3296, 12538, 883, 519, 1898, 2553, 543, 16097, 602, 7668, 721, 547, 22945, 10462, 543, 4351, 1145, 269, 1635, 13215, 2035, 971, 607, 10203, 3741, 267, 19585, 5506, 267, 543, 519, 11984, 1063, 4830, 543, 8200, 2621, 267, 649, 16491, 6000, 609, 519, 2645, 547, 6330, 1950, 7653, 267, 5173, 17831, 8308, 267, 543, 19586, 519, 13655, 540, 4960, 780, 1892, 25478, 14362, 454, 1892, 10395, 13541, 923, 267, 519, 1148, 540, 10203, 267, 3587, 17170, 950, 7231, 609, 5506, 269, 11762, 899, 32545, 543, 10659, 7668, 596, 547, 5173, 519, 1297, 540, 15028, 4093, 538, 1585, 7653, 267, 3976, 7175, 4977, 5506, 10526, 780, 1892, 16448, 531, 17438, 454, 1892, 16448, 531, 5506, 3800, 519, 10171, 540, 606, 2680, 9648, 2016, 602, 1776, 2680, 814, 2907, 7018, 269, 29923, 713, 1523, 2636, 596, 547, 2203, 1483, 8996, 3871, 811, 8308, 543, 4194, 1950, 5506, 2042, 5473, 2789, 4632, 780, 1892, 14412, 543, 667, 11163, 454, 1892, 4197, 519, 7115, 610, 13829, 540, 2621, 568, 2629, 585, 4977, 5506, 9273, 269, 18763, 2621, 798, 711, 3310, 1142, 824, 267, 1247, 8200, 2621, 616, 5532, 269, 18833, 875, 547, 2697, 543, 960, 609, 891, 2010, 540, 2621, 568, 1883, 780, 1012, 17438, 20518, 1903, 692, 20751, 519, 27763, 7706, 540, 5506, 6013, 519, 9159, 7706, 540, 5506, 14778, 269, 1452, 14778, 4196, 607, 519, 1883, 547, 1620, 519, 3892, 540, 17831, 2066, 1114, 4093, 538, 1585, 7653, 269, 1306, 649, 5490, 883, 519, 1158, 540, 15768, 543, 6024, 5506, 14778, 267, 649, 12260, 519, 1379, 547, 2203, 267, 5659, 267, 543, 4612, 519, 24604, 7915, 538, 513, 2647, 5044, 540, 1483, 8996, 9259, 780, 1892, 2598, 4740, 17438, 20518, 1903, 454, 1892, 2598, 4740, 5506, 14778, 616, 4909, 547, 1620, 519, 10171, 540, 1367, 4093, 538, 513, 3732, 2230, 269, 16610, 899, 5506, 2527, 3252, 630, 15014, 22661, 264, 543, 4397, 2418, 16491, 596, 609, 519, 2645, 547, 5659, 543, 4194, 2042, 5473, 18062, 20061, 267, 11777, 1166, 2354, 267, 543, 824, 15768, 7653, 780, 1892, 23120, 17438, 20518, 1903, 454, 1892, 23120, 14778, 2097, 883, 1404, 950, 7231, 609, 1483, 29705, 4240, 4093, 269, 25800, 3054, 609, 5506, 5860, 3252, 630, 14457, 338, 264, 543, 19469, 3892, 3252, 630, 290, 5263, 338, 264, 547, 18390, 1935, 2042, 5473, 7403, 899, 942, 267, 3845, 267, 610, 2597, 780, 1012, 5153, 8386, 28157, 11150, 585, 14572, 17438, 14581, 692, 21615, 1046, 532, 593, 513, 3460, 998, 5506, 6780, 3340, 811, 982, 1175, 7811, 1620, 22924, 7569, 2500, 1966, 9010, 2994, 269, 901, 3296, 5713, 607, 513, 22315, 267, 13057, 596, 998, 519, 14960, 540, 21365, 5506, 2042, 609, 6015, 543, 22717, 572, 269, 1635, 12561, 513, 7580, 1935, 267, 596, 3513, 711, 1152, 1232, 1712, 519, 679, 580, 5733, 540, 5506, 855, 849, 1020, 3407, 1966, 9010, 1983, 10858, 3564, 519, 7706, 540, 6128, 780, 272, 269, 22682, 16294, 519, 9046, 454, 273, 269, 6969, 11362, 883, 1022, 5506, 1966, 267, 621, 781, 2629, 547, 1376, 676, 5693, 10747, 519, 1966, 3294, 269, 901, 3322, 7114, 519, 2016, 1344, 267, 1620, 1018, 519, 2243, 568, 6998, 267, 543, 9301, 1022, 10148, 610, 7687, 9138, 538, 519, 1966, 3948, 269, 901, 1900, 568, 1898, 547, 2327, 602, 596, 2811, 593, 519, 1318, 3950, 543, 666, 1305, 909, 519, 1966, 7157, 269, 9453, 513, 2312, 1620, 540, 519, 1966, 267, 707, 3070, 1223, 3362, 979, 4230, 2001, 780, 274, 269, 7994, 519, 30785, 13979, 454, 275, 269, 17438, 2042, 666, 1419, 581, 12193, 1210, 2789, 2409, 267, 543, 519, 6988, 540, 519, 1966, 10274, 519, 3903, 540, 1935, 269, 13689, 593, 519, 2470, 540, 519, 1966, 267, 596, 1522, 946, 10203, 2553, 630, 3697, 32545, 543, 10659, 1070, 19585, 5506, 630, 20412, 908, 17831, 1759, 593, 1978, 2175, 1070, 610, 3892, 2861, 4485, 630, 11529, 609, 5506, 14778, 1040, 2659, 2178, 9787, 540, 519, 4909, 2035, 786, 948, 596, 1118, 606, 5483, 3375, 827, 799, 1935, 547, 946, 267, 3056, 547, 4977, 543, 3608, 1966, 9010, 780, 276, 269, 10439, 1125, 609, 30894, 454, 277, 269, 10439, 11226, 899, 966, 3317, 12222, 610, 3529, 12222, 666, 581, 30140, 5363, 538, 1620, 519, 2497, 540, 513, 5506, 1966, 269, 1452, 12222, 2709, 513, 21370, 6041, 540, 519, 3347, 1063, 1114, 2621, 610, 4093, 269, 1358, 711, 1152, 3986, 707, 8223, 540, 519, 1966, 855, 849, 1683, 513, 9836, 1259, 547, 10891, 707, 9273, 269, 10439, 1944, 519, 1966, 781, 3334, 666, 1291, 547, 811, 16022, 3435, 543, 2061, 9073, 3361, 676, 6772, 8504, 1978, 7399, 780, 278, 269, 16505, 13560, 13216, 10819, 454, 279, 269, 1879, 5185, 609, 1950, 5506, 2042, 267, 621, 781, 513, 5100, 4640, 547, 2736, 873, 1524, 883, 4130, 267, 811, 19242, 3268, 269, 570, 871, 548, 1142, 851, 540, 519, 1966, 14350, 267, 6061, 4130, 1016, 3491, 21793, 543, 1287, 9256, 519, 2164, 547, 12446, 693, 519, 3803, 3070, 269, 901, 1935, 24024, 10539, 543, 6971, 519, 10171, 540, 6959, 269, 1635, 5466, 519, 1966, 1900, 676, 1900, 267, 596, 2226, 513, 20501, 7650, 543, 2061, 4743, 16397, 676, 519, 6988, 780, 280, 269, 6657, 454, 1015, 269, 3807, 899, 1022, 5578, 267, 13215, 5506, 3340, 5812, 2259, 269, 4518, 998, 513, 3099, 540, 5506, 2042, 547, 1628, 707, 20932, 543, 24917, 707, 1966, 9010, 5759, 269, 1306, 596, 7237, 1114, 7653, 543, 2591, 267, 596, 3513, 1020, 513, 4514, 1620, 540, 519, 2035, 543, 1831, 811, 740, 30794, 693, 8939, 3617, 2994, 269, 6657, 27875, 596, 547, 1585, 2010, 540, 2042, 543, 3070, 2409, 267, 3376, 2287, 707, 1983, 564, 780, 1556, 269, 16418, 6435, 1879, 10261, 539, 454, 1321, 269, 17438, 2042, 666, 3006, 581, 7138, 1782, 267, 543, 621, 781, 9985, 15502, 547, 3343, 948, 950, 596, 2811, 12758, 269, 13693, 9499, 267, 2228, 2200, 267, 610, 707, 16929, 547, 12172, 22027, 543, 2744, 4195, 5380, 269, 12056, 609, 1866, 666, 1683, 3407, 4030, 602, 1522, 1291, 596, 547, 23484, 538, 707, 1620, 269, 5213, 1405, 19292, 547, 3914, 856, 950, 596, 7237, 2591, 602, 3100, 31837, 25236, 762, 780, 1724, 269, 5623, 543, 14484, 454, 1691, 269, 2991, 6707, 6061, 513, 5506, 1966, 267, 1491, 519, 942, 547, 2689, 707, 3070, 543, 2992, 593, 707, 1935, 269, 13760, 519, 5817, 7954, 3297, 707, 9273, 267, 543, 2697, 2127, 1141, 596, 1223, 723, 3144, 513, 811, 3608, 610, 17715, 8905, 269, 901, 14436, 1184, 2636, 596, 547, 1451, 689, 707, 2833, 267, 13217, 707, 1966, 9010, 2553, 267, 543, 11179, 2087, 707, 1983, 936, 942, 269, 3962, 21767, 8309, 547, 707, 3395, 6791, 538, 5506, 780, 1012, 10390, 692, 23536, 1464, 267, 609, 922, 6946, 1357, 540, 2035, 543, 3156, 267, 666, 7620, 2408, 11566, 269, 1717, 267, 676, 13215, 519, 4909, 3584, 540, 1305, 3069, 267, 5506, 24936, 1682, 267, 10203, 3741, 267, 19585, 5506, 267, 7115, 267, 543, 5506, 14778, 267, 596, 3513, 2744, 513, 2178, 9087, 1054, 1245, 538, 713, 7706, 269, 20331, 609, 2500, 1966, 9010, 2994, 27137, 607, 2312, 1966, 4214, 267, 3617, 1935, 5542, 267, 14839, 267, 543, 2259, 32503, 666, 18390, 6330, 998, 5506, 6780, 269, 5457, 267, 18094, 543, 513, 2620, 1620, 540, 519, 4295, 3741, 786, 1291, 596, 547, 20630, 1256, 519, 1034, 4101, 5506, 13410, 269, 0, 1103, 5758, 267, 713, 10137, 21410, 2627, 2127, 1210, 519, 1739, 4640, 1384, 1280, 1142, 1591, 538, 519, 7470, 267, 2627, 2127, 616, 1759, 593, 6906, 2127, 6508, 689, 5216, 12730, 269, 3962, 6906, 13462, 519, 4099, 1448, 540, 519, 3844, 1591, 609, 519, 4099, 2798, 540, 1079, 11105, 2281, 269, 1109, 1452, 12730, 616, 4092, 538, 1614, 8820, 2230, 267, 865, 602, 519, 1858, 540, 519, 6906, 4564, 519, 3020, 2627, 1858, 540, 519, 2230, 22112, 676, 519, 1614, 2798, 269, 634, 6906, 1858, 568, 14661, 865, 602, 621, 1152, 4564, 519, 6712, 540, 519, 6906, 602, 6772, 904, 519, 3844, 1591, 269, 634, 2127, 540, 519, 5216, 12730, 616, 2040, 4364, 547, 3132, 519, 2698, 2627, 1858, 540, 602, 1591, 269, 634, 2627, 5223, 540, 519, 1591, 568, 7229, 676, 12270, 519, 2627, 1858, 540, 519, 1591, 609, 519, 1544, 574, 13011, 1858, 540, 519, 1591, 780, 2690, 2859, 5489, 841, 281, 1109, 901, 10137, 24283, 2627, 2127, 585, 513, 1591, 676, 1210, 1344, 689, 519, 5216, 2281, 11105, 547, 519, 4099, 1591, 269, 1109, 1280, 1383, 267, 2016, 513, 3732, 15038, 7470, 1384, 10472, 10137, 1131, 5173, 519, 2627, 1858, 585, 519, 1591, 609, 15038, 1871, 834, 8146, 257, 1759, 593, 519, 15038, 2418, 540, 519, 5216, 2281, 4478, 621, 10484, 663, 519, 2627, 1858, 585, 519, 834, 13679, 257, 1591, 1759, 593, 519, 5216, 15038, 1871, 4478, 621, 1384, 763, 1739, 1383, 540, 513, 17183, 9351, 9819, 786, 581, 1759, 593, 519, 14745, 1657, 267, 1141, 649, 786, 5173, 519, 2627, 1858, 585, 513, 1591, 609, 606, 15038, 1871, 540, 476, 13679, 267, 11303, 676, 2281, 693, 476, 5002, 267, 476, 10204, 267, 476, 14028, 267, 476, 8146, 267, 476, 13970, 267, 476, 11260, 267, 476, 8182, 543, 476, 14338, 269, 1109, 901, 7470, 540, 15038, 2418, 666, 581, 3182, 3293, 769, 476, 274, 8820, 2230, 607, 513, 1305, 540, 11105, 9587, 267, 1142, 8375, 607, 1164, 607, 621, 781, 9138, 15038, 1871, 780, 2171, 1491, 519, 476, 274, 8820, 4099, 9557, 540, 1142, 540, 891, 476, 280, 2281, 267, 543, 5173, 519, 13080, 540, 519, 476, 279, 3515, 602, 1921, 519, 3844, 1591, 781, 4099, 4812, 609, 519, 4099, 2798, 540, 519, 476, 279, 4478, 2281, 269, 1109, 1284, 1287, 5173, 519, 13080, 540, 519, 3515, 602, 1921, 1142, 540, 519, 476, 279, 4478, 2281, 609, 519, 835, 1318, 1985, 547, 621, 267, 865, 602, 649, 1439, 909, 609, 519, 13080, 540, 519, 5011, 540, 519, 476, 279, 12730, 602, 782, 2743, 693, 519, 4099, 1448, 540, 519, 3844, 1591, 269, 1109, 4635, 891, 13080, 267, 649, 666, 5173, 519, 2127, 540, 1142, 540, 519, 12730, 780, 4322, 13080, 616, 2241, 547, 5173, 1210, 519, 25355, 14497, 267, 799, 2829, 602, 267, 538, 513, 1318, 6906, 267, 519, 4009, 540, 519, 3259, 540, 519, 30494, 568, 3160, 547, 519, 2040, 540, 519, 10945, 540, 519, 824, 1079, 5011, 269, 1109, 4935, 267, 585, 1022, 1079, 2798, 589, 543, 645, 1384, 257, 321, 257, 568, 2653, 547, 5173, 267, 2094, 621, 568, 3274, 519, 3017, 1063, 519, 1079, 1591, 2418, 269, 1109, 834, 320, 257, 568, 2653, 547, 1205, 585, 519, 2281, 2047, 547, 519, 3345, 267, 5101, 267, 3162, 543, 4639, 267, 2094, 621, 568, 3274, 519, 1871, 540, 519, 8426, 2450, 269, 1109, 1280, 519, 32377, 267, 649, 946, 519, 25355, 11532, 1586, 543, 5173, 602, 834, 320, 257, 568, 3160, 547, 519, 4009, 3597, 540, 630, 273, 264, 1535, 630, 320, 1606, 32464, 6393, 4913, 267, 2094, 649, 2811, 1152, 7255, 609, 519, 2627, 1858, 1369, 1142, 1591, 267, 649, 2759, 782, 519, 6906, 13080, 538, 3368, 269, 1109, 3767, 950, 649, 5173, 519, 1858, 540, 513, 6906, 1759, 593, 519, 13080, 540, 1614, 5011, 267, 519, 1614, 5011, 786, 2099, 519, 6712, 540, 519, 6906, 602, 6013, 1369, 519, 1591, 6302, 780, 20007, 673, 8074, 281, 1109, 634, 1657, 6609, 1152, 6257, 519, 7954, 1031, 547, 17589, 519, 2627, 1858, 269, 1109, 634, 10137, 568, 711, 2965, 8220, 1022, 3515, 610, 1210, 1022, 6152, 1239, 693, 782, 269, 1109, 13298, 267, 519, 10137, 5932, 476, 1626, 1007, 21870, 267, 1141, 519, 1591, 2418, 2099, 519, 13080, 540, 835, 540, 519, 476, 1626, 6906, 8728, 3182, 3293, 1657, 269, 1109, 4635, 476, 274, 540, 891, 476, 1626, 834, 31590, 4120, 22750, 20099, 257, 21870, 693, 513, 942, 267, 621, 1287, 21410, 476, 279, 1007, 21870, 8204, 519, 1858, 540, 519, 6906, 602, 1131, 581, 22112, 1346, 1614, 6316, 13080, 269, 1109, 7053, 267, 519, 10137, 8591, 909, 1346, 476, 279, 834, 31590, 4120, 9351, 257, 21870, 547, 3132, 519, 3803, 17183, 9351, 25373, 780, 15612, 908, 519, 9351, 540, 513, 21121, 689, 519, 700 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14196, 676, 9256, 519, 8711, 540, 1312, 269, 22073, 609, 513, 27646, 3613, 641, 5180, 540, 519, 13642, 21121, 543, 14076, 553, 22474, 779, 20375, 1107, 1519, 519, 29069, 10067, 531, 267, 16156, 779, 20299, 16549, 329, 573, 543, 968, 303, 1074, 4975, 892, 540, 26566, 760, 584, 1107, 621, 3096, 29180, 779, 16600, 18026, 8184, 4296, 607, 513, 19480, 6149, 547, 519, 2484, 7013, 1533, 540, 29242, 267, 4171, 18932, 267, 9341, 1394, 31662, 543, 7401, 24914, 1683, 519, 3501, 4831, 4812, 547, 519, 28753, 531, 6264, 16725, 543, 9390, 642, 626, 553, 540, 519, 3105, 3018, 269, 1306, 2479, 609, 938, 6828, 570, 2293, 267, 22098, 568, 29413, 543, 14436, 540, 519, 3099, 540, 1114, 8916, 543, 4529, 596, 3580, 1995, 593, 713, 7552, 540, 513, 10715, 998, 3127, 779, 1283, 24738, 563, 24292, 32733, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7775, 1170, 534, 13527, 15339, 257, 607, 851, 540, 834, 11286, 1315, 7489, 1315, 4095, 1299, 3162, 7489, 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, 5149, 476, 280, 281, 6754, 781, 29833, 1014, 4856, 22046, 775, 1107, 589, 5530, 540, 476, 272, 543, 476, 273, 29833, 2103, 692, 7072, 454, 1366, 692, 763, 5022, 547, 519, 29833, 2103, 2709, 721, 2189, 4030, 883, 519, 1272, 543, 10752, 540, 519, 19980, 548, 6754, 267, 607, 1134, 607, 519, 2038, 4168, 5939, 269, 1452, 19815, 956, 941, 2854, 547, 2232, 1585, 2152, 602, 1185, 818, 17470, 1369, 519, 30798, 693, 29833, 267, 3246, 721, 609, 3407, 4245, 827, 5132, 267, 2648, 267, 9322, 267, 543, 5289, 15657, 269, 901, 1770, 786, 5490, 7184, 883, 519, 3140, 2796, 267, 2101, 4798, 267, 543, 4207, 10083, 540, 476, 272, 543, 476, 273, 29833, 2103, 780, 23208, 12745, 454, 2411, 7042, 17357, 12764, 729, 513, 14762, 5010, 4099, 4092, 538, 2413, 6377, 10255, 269, 4706, 7580, 4087, 2059, 4123, 11507, 1500, 621, 513, 13621, 1494, 540, 3309, 4529, 267, 10764, 267, 543, 2093, 269, 769, 5084, 476, 2004, 268, 7367, 267, 6754, 3964, 513, 5939, 972, 1282, 1010, 2034, 29966, 3460, 630, 8002, 338, 476, 1240, 281, 272, 268, 1704, 1070, 799, 5185, 3875, 2591, 1813, 547, 922, 2686, 4763, 543, 5837, 561, 1314, 640, 269, 1306, 513, 1267, 267, 6754, 5206, 2185, 5022, 547, 519, 29833, 2103, 281, 1079, 31607, 630, 272, 543, 476, 273, 29833, 2103, 264, 543, 1079, 4503, 630, 1492, 865, 10777, 834, 572, 3164, 4484, 257, 5018, 538, 476, 273, 29833, 2103, 476, 273, 281, 275, 543, 1776, 2009, 4484, 5219, 547, 538, 476, 272, 29833, 2103, 476, 276, 281, 280, 6393, 28899, 21771, 538, 476, 272, 29833, 2103, 454, 10900, 19030, 2162, 30767, 538, 519, 10610, 540, 2441, 630, 272, 29833, 2103, 476, 272, 268, 275, 282, 476, 1321, 2020, 19667, 2888, 1851, 21071, 12219, 519, 1072, 540, 519, 29833, 1014, 5939, 269, 1677, 8396, 713, 3390, 267, 6754, 15091, 519, 2956, 540, 9322, 538, 519, 1560, 540, 2441, 269, 1261, 18056, 873, 602, 789, 782, 20705, 547, 519, 1482, 7083, 267, 7488, 540, 741, 1514, 4567, 610, 4282, 630, 272, 29833, 2103, 476, 1321, 281, 1321, 268, 2767, 1040, 1635, 10223, 519, 25872, 540, 519, 2818, 540, 519, 5939, 267, 6754, 24016, 873, 547, 960, 1927, 543, 9784, 741, 3604, 2864, 982, 3850, 891, 21441, 547, 6536, 771, 29774, 780, 2162, 20351, 15979, 543, 26874, 8830, 640, 630, 272, 29833, 2103, 476, 276, 268, 278, 2020, 1103, 5466, 4638, 1799, 528, 1275, 1369, 519, 29833, 1014, 5939, 267, 6754, 1572, 585, 7453, 9015, 1996, 1346, 945, 7722, 538, 971, 2623, 630, 272, 29833, 2103, 476, 276, 281, 272, 268, 1724, 1040, 2311, 519, 1482, 942, 267, 646, 17019, 519, 7965, 5185, 676, 9310, 15185, 2713, 538, 513, 16770, 7989, 1170, 633, 2486, 899, 29833, 630, 272, 29833, 2103, 476, 278, 281, 272, 268, 2412, 1040, 10801, 891, 11271, 267, 6754, 9738, 602, 10271, 1590, 15666, 547, 13400, 4441, 540, 13919, 1247, 849, 11744, 11419, 2509, 1866, 10010, 609, 5609, 995, 13821, 780, 2162, 654, 11208, 543, 11352, 569, 18430, 630, 272, 29833, 2103, 476, 1556, 268, 1691, 2020, 11514, 4650, 17349, 1282, 10847, 2533, 12735, 4240, 519, 29833, 1014, 5939, 267, 20872, 6754, 547, 1683, 4808, 585, 1697, 2932, 1282, 19771, 269, 1261, 9619, 3584, 971, 607, 2212, 3382, 902, 585, 2021, 630, 272, 29833, 2103, 476, 1556, 281, 273, 268, 1626, 1070, 11287, 519, 7083, 781, 2672, 3899, 630, 272, 29833, 2103, 476, 1556, 281, 1704, 268, 4097, 1070, 6340, 538, 10209, 1132, 630, 272, 29833, 2103, 476, 1321, 281, 1789, 268, 1691, 281, 2412, 1070, 543, 28897, 630, 272, 29833, 2103, 476, 1691, 281, 272, 268, 3451, 1040, 3414, 891, 5528, 267, 6754, 6322, 547, 11177, 1931, 543, 27527, 538, 9746, 10847, 780, 28899, 21771, 538, 476, 273, 29833, 2103, 454, 10900, 19030, 2162, 2637, 9334, 24347, 4301, 16958, 630, 273, 29833, 2103, 476, 1015, 268, 1724, 2020, 16178, 3610, 1185, 13934, 6754, 781, 6392, 607, 606, 19980, 548, 267, 4929, 4744, 3290, 1851, 519, 29833, 2103, 269, 769, 3210, 267, 6754, 29846, 1010, 18591, 676, 7682, 532, 1010, 10143, 10243, 630, 273, 29833, 2103, 476, 1015, 281, 272, 268, 1240, 1070, 11589, 6161, 585, 519, 10304, 540, 519, 5939, 630, 273, 29833, 2103, 476, 1556, 281, 272, 268, 1428, 1070, 22281, 532, 1010, 7985, 902, 585, 519, 22258, 630, 273, 29833, 2103, 476, 1556, 281, 2641, 321, 268, 3451, 1070, 543, 9963, 1996, 16561, 7301, 3450, 630, 273, 29833, 2103, 476, 1724, 281, 272, 268, 1015, 6393, 2162, 11038, 8081, 585, 3687, 8651, 630, 273, 29833, 2103, 476, 279, 268, 280, 2020, 2026, 851, 540, 1010, 9029, 585, 2883, 1489, 267, 6754, 12006, 519, 28908, 540, 519, 24765, 20897, 13039, 630, 273, 29833, 2103, 476, 279, 281, 272, 268, 278, 264, 543, 9415, 519, 29833, 2103, 547, 1246, 9290, 630, 273, 29833, 2103, 476, 279, 281, 279, 268, 1428, 1040, 5015, 267, 646, 16219, 602, 2696, 1131, 12196, 741, 4758, 267, 4180, 11606, 1312, 1570, 569, 543, 32375, 630, 273, 29833, 2103, 476, 280, 281, 277, 268, 1428, 6393, 28757, 25684, 454, 2411, 19030, 6624, 540, 519, 2152, 6849, 519, 29833, 1014, 5939, 2611, 4143, 2221, 269, 1280, 1383, 267, 2055, 4478, 4008, 5107, 538, 10847, 3136, 547, 581, 23503, 1369, 930, 29559, 269, 3958, 267, 5717, 3823, 2883, 19642, 543, 12477, 13469, 9244, 609, 2413, 10271, 5275, 5583, 593, 5885, 26110, 543, 13485, 3906, 269, 7053, 267, 3695, 875, 6754, 4044, 919, 7526, 1063, 1249, 687, 1369, 519, 29833, 1014, 5939, 2488, 5363, 5813, 585, 2250, 832, 2324, 4724, 21047, 9624, 11705, 337, 1400, 13882, 610, 2123, 22195, 780, 6962, 454, 29603, 3528, 2502, 5702, 609, 6754, 781, 19359, 547, 519, 29833, 2103, 267, 1053, 2744, 2565, 1702, 827, 1883, 3344, 540, 2038, 8567, 267, 1519, 3235, 3380, 5735, 267, 7881, 267, 543, 10847, 2853, 269, 5047, 267, 998, 8086, 2390, 519, 19320, 1063, 3504, 543, 4207, 4145, 267, 6267, 666, 1732, 1174, 875, 23075, 5170, 547, 1217, 938, 2729, 607, 13794, 540, 4906, 2441, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12812, 5750, 547, 23822, 454, 2419, 11301, 689, 808, 27255, 781, 11752, 540, 519, 24857, 910, 1031, 676, 10479, 454, 5194, 15873, 910, 4210, 785, 3326, 910, 5750, 593, 1318, 2427, 454, 288, 13336, 674, 2683, 5783, 454, 5978, 1323, 2002, 532, 910, 634, 10513, 13336, 454, 303, 2001, 532, 538, 519, 13336, 454, 306, 2869, 527, 6363, 2683, 5617, 773, 951, 3657, 6145, 3203, 14198, 28243, 454, 19064, 4954, 781, 3689, 17030, 776, 17714, 910, 4786, 1475, 8002, 338, 476, 1724, 281, 275, 268, 1691, 281, 2764, 266, 2008, 19064, 4954, 781, 5822, 17030, 776, 17714, 910, 4786, 1475, 8002, 338, 476, 1428, 281, 3607, 268, 1240, 281, 2420, 266, 2008, 19064, 4954, 781, 12059, 17030, 776, 17714, 910, 4786, 1475, 8002, 338, 476, 1240, 281, 2537, 268, 2641, 281, 2918, 266, 2008, 300, 2355, 1644, 547, 20450, 454, 268, 634, 8003, 540, 4173, 617, 3397, 23774, 320, 594, 454, 268, 634, 8003, 540, 3397, 23774, 320, 4083, 454, 268, 19999, 1815, 739, 543, 519, 6014, 4144, 23159, 454, 268, 28841, 540, 519, 7216, 5783, 538, 21157, 454, 268, 6754, 779, 23586, 543, 7216, 12080, 454, 268, 6754, 779, 4260, 7958, 454, 268, 634, 3689, 17030, 776, 17714, 540, 6754, 454, 268, 634, 5822, 17030, 776, 17714, 540, 6754, 454, 268, 634, 12059, 17030, 776, 17714, 540, 6754, 454, 268, 6754, 779, 1488, 6135, 543, 1955, 1440, 2581, 618, 454, 268, 6754, 779, 30576, 720, 547, 7507, 454, 15008, 910, 634, 1739, 1592, 2882, 711, 1152, 6085, 2456, 855, 824, 4168, 1568, 676, 1134, 1634, 27685, 673, 5830, 269, 4107, 540, 519, 2200, 2630, 616, 18960, 1568, 630, 16261, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 19978, 19410, 776, 1315, 1715, 11620, 1315, 6754, 781, 16707, 1315, 29833, 1014, 4856, 22046, 775, 630, 272, 268, 273, 29833, 2103, 1040, 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, 3408, 540, 9751, 543, 4886, 256, 901, 1523, 568, 606, 1898, 851, 540, 875, 1004, 1451, 1007, 1983, 543, 5759, 693, 960, 267, 1153, 267, 543, 3564, 269, 6056, 827, 707, 5172, 15908, 610, 2534, 1107, 1705, 2576, 4001, 596, 875, 547, 798, 602, 286, 9320, 513, 3659, 4951, 596, 875, 547, 1404, 14912, 267, 610, 707, 3237, 6026, 596, 875, 547, 3434, 707, 1101, 7594, 269, 2353, 891, 2833, 4125, 2866, 543, 1646, 2439, 1103, 713, 3184, 267, 649, 3580, 4685, 883, 1018, 2866, 543, 1646, 1611, 950, 621, 2501, 547, 6530, 543, 519, 9036, 269, 1284, 2461, 2469, 547, 1413, 693, 1946, 3906, 1902, 942, 543, 2200, 883, 4543, 5520, 1332, 543, 2087, 269, 1635, 1620, 713, 1184, 1732, 267, 6148, 596, 666, 948, 1374, 930, 3579, 2866, 3292, 3054, 14693, 2439, 5331, 2324, 693, 513, 3381, 3014, 2754, 8888, 6216, 1007, 3756, 269, 2334, 4992, 7168, 15813, 267, 1318, 286, 1809, 1256, 952, 596, 2648, 4730, 3381, 3756, 267, 972, 779, 1869, 865, 1454, 811, 547, 917, 1354, 2870, 873, 269, 1411, 991, 547, 1174, 5752, 4654, 267, 8642, 1374, 3741, 267, 9423, 2553, 267, 543, 3593, 1995, 2994, 269, 1677, 1831, 606, 4274, 3014, 14704, 267, 596, 1131, 723, 547, 979, 998, 1585, 5933, 540, 1565, 543, 8026, 1346, 1983, 780, 3086, 1577, 779, 1294, 875, 713, 12211, 547, 2866, 543, 1646, 269, 14992, 899, 519, 3381, 3014, 18638, 1616, 547, 2327, 602, 3025, 814, 1569, 547, 1565, 3255, 269, 1358, 1522, 2709, 11925, 593, 8193, 267, 5049, 827, 3308, 1148, 267, 610, 16823, 10529, 4687, 4030, 593, 1434, 9423, 269, 1452, 2238, 2832, 547, 1020, 1142, 9441, 779, 1761, 1247, 849, 30364, 519, 3919, 269, 1879, 2319, 2818, 1205, 1732, 693, 741, 6009, 267, 519, 2898, 1870, 29263, 2439, 2467, 616, 1896, 3268, 3238, 538, 3384, 2500, 2866, 3292, 269, 3689, 267, 3549, 2708, 741, 2115, 1765, 6343, 1983, 798, 741, 6887, 3668, 267, 543, 1141, 1223, 9283, 1291, 547, 3152, 1967, 286, 4495, 789, 2697, 2127, 8506, 2208, 267, 30157, 1711, 1808, 3853, 543, 6859, 1759, 593, 1346, 2115, 269, 1280, 1383, 267, 952, 1082, 9858, 6560, 609, 1377, 5137, 267, 513, 13186, 5059, 9003, 593, 1377, 1374, 1522, 581, 9709, 780, 9202, 2097, 14292, 1374, 543, 6765 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7689, 476, 276, 281, 9253, 28853, 543, 4675, 6123, 910, 21690, 14134, 338, 609, 14568, 2657, 2439, 5970, 596, 2479, 1185, 8373, 9991, 18069, 286, 2107, 6148, 596, 4312, 530, 7505, 909, 4743, 13110, 1256, 1310, 513, 2407, 3781, 781, 1964, 286, 1411, 2811, 711, 4805, 256, 3509, 1004, 6560, 609, 3207, 2152, 267, 855, 972, 1522, 581, 513, 2241, 3070, 1107, 5283, 28853, 543, 824, 9360, 2966, 547, 3895, 2635, 3207, 269, 2913, 781, 2263, 1018, 891, 9360, 616, 267, 875, 789, 960, 267, 543, 1946, 789, 1223, 581, 5363, 585, 596, 2439, 1432, 568, 9253, 28853, 888, 2411, 13430, 5331, 1373, 538, 513, 4158, 4055, 282, 621, 781, 2653, 547, 1745, 546, 992, 1910, 543, 4712, 585, 5127, 267, 1318, 286, 2334, 781, 1317, 707, 1560, 7472, 513, 9449, 1572, 5283, 28853, 950, 621, 781, 4158, 3544, 269, 901, 9449, 15920, 6786, 547, 707, 2634, 602, 621, 781, 942, 547, 2842, 1524, 543, 1205, 930, 9505, 31378, 269, 1717, 267, 3006, 938, 11112, 2729, 267, 13819, 267, 543, 5841, 8279, 666, 15936, 609, 5283, 28853, 2504, 267, 1818, 621, 9875, 547, 2887, 18069, 269, 2334, 781, 1141, 5283, 28853, 9360, 2097, 538, 13561, 256, 1358, 2285, 707, 1560, 606, 3063, 5818, 540, 713, 3207, 344, 9449, 547, 948, 10038, 707, 4835, 9219, 267, 849, 1634, 607, 707, 27266, 11733, 780, 3963, 6875, 4675, 6123, 888, 2411, 19030, 11045, 6123, 899, 5283, 28853, 666, 948, 2232, 1808, 1072, 4145, 267, 971, 607, 3207, 2042, 269, 1809, 3314, 267, 789, 5749, 1405, 5921, 547, 5372, 513, 7059, 2732, 543, 2834, 3635, 269, 5502, 267, 1589, 540, 873, 607, 3606, 2645, 547, 1489, 707, 2949, 8171, 780, 5278, 4128, 1004, 946, 9360, 1331, 1384, 272, 269, 2878, 289, 21392, 12619, 5093, 1306, 5018, 4505, 267, 5283, 28853, 2337, 10038, 707, 3207, 3270, 267, 865, 2921, 513, 7110, 666, 1118, 621, 4443, 547, 6952, 1346, 2098, 3960, 781, 563, 273, 269, 2878, 18404, 29440, 8081, 5093, 2368, 9360, 2270, 8324, 543, 6886, 602, 5351, 538, 4509, 513, 2635, 10307, 267, 3850, 707, 1560, 547, 2736, 1524, 1426, 7561, 1282, 519, 1554, 269, 1323, 1383, 540, 971, 513, 7110, 568, 717, 1663, 935, 924, 267, 799, 649, 786, 1865, 2663, 538, 713, 3992, 563, 274, 269, 2878, 14197, 25682, 5093, 15316, 9360, 2709, 1114, 1072, 2640, 267, 8151, 689, 5885, 4761, 1599, 547, 5009, 2295, 1072, 269, 1635, 2324, 7258, 513, 7059, 6197, 267, 789, 666, 3565, 547, 707, 2949, 2631, 540, 1134, 5630, 780, 4504, 18166, 717, 1663, 935, 924, 454, 2411, 21387, 3086, 1577, 781, 2911, 827, 717, 1663, 935, 924, 267, 513, 7110, 4481, 2966, 585, 2043, 609, 3987, 543, 840, 26817, 3449, 269, 2755, 5283, 28853, 4249, 513, 1713, 1909, 538, 922, 4542, 267, 1896, 824, 5567, 6443, 4229, 547, 1683, 12242, 2640, 1107, 4824, 1973, 4006, 1852, 543, 2799, 1648, 2157, 1282, 519, 1554, 780, 294, 1663, 935, 924, 3568, 1898, 11254, 7408, 267, 8324, 267, 543, 2030, 21555, 602, 960, 1927, 547, 948, 3666, 1973, 4006, 2157, 16074, 1247, 3246, 9543, 3170, 1532, 9506, 2360, 2390, 24971, 909, 269, 898, 781, 1271, 547, 4063, 602, 717, 1663, 935, 924, 3884, 1405, 513, 9059, 10788, 585, 2597, 2530, 282, 3079, 267, 621, 7028, 707, 1560, 781, 2067, 3157, 547, 3035, 6099, 2164, 950, 19610, 609, 513, 2635, 6197, 780, 1103, 10390, 454, 1366, 19030, 2026, 596, 7832, 593, 707, 3460, 2509, 1732, 1072, 543, 2298, 3207, 267, 2015, 6220, 5283, 28853, 610, 824, 6098, 9360, 883, 707, 6296, 269, 5457, 267, 1498, 267, 602, 1100, 2582, 7110, 666, 5372, 513, 7059, 2732, 267, 5812, 2168, 2534, 267, 543, 1434, 3207, 9882, 2853, 269, 11408, 5077, 609, 513, 11967, 2937, 610, 3782, 3318, 1354, 4358, 1022, 1007, 7110, 20786, 780, 4415, 519, 1697, 5583, 543, 2200, 267, 596, 1631, 723, 519, 1379, 547, 2087, 707, 3207, 267, 3986, 707, 10307, 267, 543, 9784, 513, 18668, 267, 8902, 4528, 540, 3054, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2419, 8522, 267, 14889, 267, 717, 1663, 935, 924, 7110, 568, 513, 9422, 7110, 602, 6811, 547, 1489, 2635, 1973, 4006, 1247, 596, 3207, 563, 9617, 1491, 835, 1085, 17274, 540, 717, 1663, 935, 924, 1354, 596, 979, 547, 5127, 267, 543, 519, 4542, 1568, 16074, 547, 1489, 1973, 4006, 1247, 4758, 596, 513, 811, 1964, 995, 3207, 563, 763, 7110, 568, 30630, 5097, 4724, 31911, 543, 840, 26817, 28017, 563, 2710, 596, 1616, 513, 7110, 602, 3091, 2789, 2640, 693, 519, 1482, 942, 888, 2690, 6634, 540, 7110, 3755, 1472, 519, 1158, 267, 519, 2626, 568, 606, 13778, 9811, 563, 291, 783, 2640, 616, 513, 7372, 1630, 517, 547, 12596, 3168, 547, 3715, 2933, 538, 519, 5051, 8013, 2344, 540, 8192, 9360, 543, 4244, 1072, 12596, 563, 4002, 713, 4395, 267, 717, 1663, 935, 924, 7110, 11613, 25389, 563, 763, 5820, 1031, 538, 713, 2189, 4542, 616, 16887, 5916, 547, 948, 1711, 513, 968, 12741, 995, 5787, 1807, 1198, 2223, 799, 666, 1489, 1732, 1973, 4006, 543, 948, 1683, 3170, 1532, 9506, 2640, 2429, 519, 1554, 563, 25911, 766, 267, 26016, 1436, 267, 10894, 1489, 267, 543, 2067, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27839, 28853, 543, 4675, 6123, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 12619, 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, 4911, 25086, 281, 589, 14265, 1017, 26616, 15484, 538, 7101, 5735, 692, 1103, 519, 2361, 540, 2234, 5735, 267, 2587, 25086, 4249, 513, 11358, 1909, 538, 23235, 543, 8156, 1585, 2564, 2175, 269, 13018, 267, 2587, 25086, 4016, 547, 519, 946, 540, 2473, 11920, 4334, 2923, 547, 14650, 1973, 8043, 543, 2708, 741, 2783, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 2565, 1523, 540, 2587, 328, 4919, 5773, 267, 2519, 593, 519, 2010, 540, 4334, 2923, 8246, 267, 3226, 1346, 6964, 538, 25080, 1763, 28585, 24919, 630, 28122, 1040, 5047, 267, 649, 786, 4983, 519, 5767, 7835, 543, 3106, 4145, 2404, 609, 891, 8069, 267, 10771, 2487, 4681, 3823, 15046, 22223, 1756, 2861, 4334, 8069, 780, 2414, 2253, 267, 1577, 721, 3715, 513, 4909, 1620, 540, 2587, 25086, 543, 922, 3156, 269, 1306, 5018, 4505, 267, 2587, 25086, 3322, 519, 13297, 540, 4334, 2923, 883, 513, 3461, 781, 15466, 1062, 547, 5352, 2143, 2592, 540, 519, 1973, 8043, 1210, 14806, 22000, 267, 11632, 18767, 267, 610, 19182, 3674, 269, 1452, 2592, 5351, 3782, 4648, 538, 7114, 1761, 2152, 971, 607, 3625, 1137, 267, 32560, 267, 4439, 3101, 267, 610, 6553, 1369, 519, 21729, 1529, 1155, 269, 9182, 267, 2587, 25086, 5713, 607, 606, 1898, 1907, 538, 954, 14846, 2234, 5735, 267, 1141, 30194, 12362, 5574, 899, 588, 550, 1747, 906, 543, 2377, 565, 3074, 666, 581, 5340, 1759, 593, 519, 1344, 10356, 1282, 519, 10368, 5650, 780, 23338, 547, 519, 2259, 540, 2587, 25086, 616, 519, 4334, 2923, 2933, 269, 1452, 6878, 3986, 519, 15287, 540, 1973, 8043, 676, 19249, 519, 2473, 11920, 10338, 267, 28498, 20501, 15285, 1063, 519, 6077, 561, 18210, 543, 4478, 3889, 269, 27603, 267, 19381, 3990, 4334, 2923, 723, 1044, 4922, 7550, 1813, 547, 741, 15028, 14278, 758, 27282, 543, 1970, 1942, 269, 594, 617, 3990, 7135, 8858, 1164, 2234, 1675, 3748, 267, 1818, 873, 3810, 20559, 1043, 896, 2473, 11920, 6514, 269, 11048, 267, 789, 10460, 1978, 4220, 267, 5097, 13027, 6547, 543, 1761, 8459, 5945, 267, 2523, 538, 11630, 2043, 780, 763, 11944, 540, 1875, 23760, 545, 19381, 3990, 4334, 2923, 814, 7339, 730, 930, 540, 891, 10898, 1247, 4509, 10368, 12117, 269, 634, 7636, 2497, 540, 1875, 23760, 545, 8069, 16621, 7864, 9357, 14184, 2516, 3379, 547, 4587, 25617, 30422, 269, 9182, 267, 891, 2413, 4334, 2326, 29360, 4389, 23015, 5328, 2360, 2390, 703, 9545, 553, 566, 267, 7551, 32033, 8801, 6547, 543, 5355, 2949, 7109, 1464, 269, 6736, 7760, 538, 19381, 3990, 4334, 2923, 2029, 267, 3173, 3136, 3695, 4244, 3681, 547, 2417, 7413, 8374, 543, 4228, 9354, 7399, 780, 3080, 971, 9621, 28627, 6013, 538, 519, 1646, 540, 15046, 22223, 1756, 2861, 4334, 8069, 630, 294, 6195, 2026, 1070, 30109, 4294, 538, 18909, 5468, 269, 9521, 19381, 3990, 4334, 2923, 267, 717, 6195, 2026, 798, 711, 7048, 593, 9357, 1944, 5982, 282, 3079, 267, 789, 31194, 593, 519, 4164, 8568, 3601, 540, 15046, 22223, 1756, 12274, 547, 3132, 5365, 19349, 1369, 6098, 5160, 4525, 269, 1879, 5189, 883, 519, 1560, 267, 717, 6195, 2026, 2110, 523, 570, 272, 11005, 2053, 267, 3056, 547, 17321, 2592, 1282, 18909, 18362, 269, 25214, 267, 717, 6195, 2026, 723, 21959, 1229, 9645, 3007, 585, 741, 10626, 538, 16326, 17244, 538, 2571, 8031, 267, 1519, 519, 3844, 8401, 1062, 267, 6797, 267, 543, 30273, 1949, 780, 4913, 267, 2487, 1296, 723, 14754, 3395, 31536, 542, 7282, 519, 1279, 3856, 12802, 540, 15046, 22223, 1756, 12074, 538, 1585, 8219, 1739, 7368, 4218, 5928, 540, 717, 6195, 2026, 269, 11153, 2090, 3370, 1063, 476, 1001, 275, 543, 476, 1001, 277, 4080, 15398, 9830, 540, 15046, 22223, 1756, 538, 6147, 321, 4592, 335, 1400, 5714, 543, 2620, 22140, 540, 519, 1480, 2634, 1256, 1310, 2789, 13066, 269, 6270, 4681, 5337, 1243, 3106, 4145, 1851, 2564, 4648, 543, 9431, 8041, 5001, 267, 20872, 13753, 883, 519, 6286, 540, 891, 17477, 15046, 22223, 1756, 12074, 780, 8253, 2406, 267, 1382, 6920, 602, 2550, 3413, 21719, 676, 4049, 17669, 15717, 2408, 811, 7925, 547, 3384, 26669, 4088, 545, 11528, 27470, 630, 10064, 293, 264, 1739, 4598, 547, 717, 6195, 2026, 269, 22085, 293, 28107, 607, 5394, 2287, 543, 2182, 2287, 540, 519, 2960, 267, 4745, 20765, 267, 543, 1418, 14524, 267, 15866, 7133, 1346, 609, 19847, 8459, 1599, 269, 4014, 4686, 267, 22085, 293, 13514, 1713, 24896, 543, 9019, 4220, 952, 2451, 31250, 269, 1677, 2232, 713, 3390, 267, 9755, 15428, 21458, 4808, 267, 2857, 2056, 1996, 28720, 1808, 717, 6195, 2026, 547, 2550, 609, 6059, 1350, 9593, 983, 19288, 3928, 2630, 476, 1789, 20853, 26553, 270, 272, 269, 10463, 332, 11054, 269, 5015, 267, 13657, 776, 3800, 12167, 585, 4140, 5534, 13345, 540, 717, 6195, 2026, 1152, 950, 11613, 2556, 267, 2059, 609, 22608, 5464, 540, 17669, 1599, 6724, 840, 7146, 2022, 9762, 2858, 7245, 780, 8601, 20387, 2963, 16046, 15046, 22223, 1756, 18254, 547, 22085, 293, 267, 2487, 1239, 5267, 602, 1034, 2043, 8391, 717, 6195, 288, 24409, 798, 711, 7237, 3507, 762, 14715, 3524, 601, 2801, 269, 4340, 547, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 1070, 2139, 3332, 1281, 711, 1489, 1757, 894, 12205, 1063, 19469, 15046, 22223, 1756, 23927, 543, 31916, 5778, 1729, 13877, 640, 538, 2550, 609, 3339, 17669, 1599, 269, 16480, 267, 519, 15111, 9783, 513, 3075, 3106, 2792, 538, 2904, 476, 1001, 279, 1443, 2358, 3782, 7426, 547, 3970, 717, 6195, 288, 6165, 8164, 2009, 543, 2308, 12550, 7094, 545, 8069, 4776, 5166, 6053, 1813, 547, 741, 2539, 4412, 3748, 585, 4744, 27937, 543, 7766, 5305, 540, 1863, 15046, 22223, 1756, 12274, 780, 1103, 3932, 267, 2587, 25086, 4564, 513, 4105, 5057, 540, 4207, 2234, 8344, 26129, 543, 519, 31706, 267, 21214, 3309, 23857, 543, 4334, 2923, 3358, 547, 2743, 2189, 4791, 7569, 269, 7324, 891, 267, 15046, 22223, 1756, 2861, 4334, 8069, 2709, 3982, 5383, 538, 18909, 3156, 2943, 4163, 7915, 4220, 5532, 547, 1279, 3856, 12802, 267, 16113, 538, 2550, 609, 5817, 17669, 1202, 340, 11797, 269, 744, 32054, 3646, 6322, 693, 17975, 4540, 4334, 2923, 4066, 13745, 609, 11826, 3621, 7634, 786, 17216, 6556, 10930, 8925, 5827, 540, 9750, 938, 10368, 6186, 3512, 10740, 1510, 18731, 3461, 10304, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 9707, 16195, 781, 1488, 614, 542, 4334, 2923, 7630, 528, 1062, 563, 2080, 616, 1896, 10311, 538, 2564, 9196, 4334, 2923, 8069, 269, 5565, 540, 519, 7887, 3377, 3688, 941, 1644, 547, 3106, 4145, 936, 6419 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 4775, 18792, 5830, 267, 543, 594, 6557, 2469, 547, 7866, 621, 1631, 269, 634, 2367, 2712, 3729, 538, 11680, 269, 1656, 3006, 30660, 269, 2290, 540, 519, 1101, 2053, 594, 15336, 883, 519, 5604, 540, 1250, 2025, 20148, 19378, 11612, 326, 1231, 267, 646, 729, 4189, 606, 11945, 543, 7296, 513, 16906, 8195, 269, 630, 2691, 594, 3323, 693, 968, 306, 12991, 11482, 1421, 892, 596, 1223, 1869, 8673, 538, 606, 5604, 2679, 269, 594, 1522, 711, 581, 1762, 4700, 594, 1185, 1044, 972, 1152, 513, 1906, 4374, 267, 543, 19378, 1185, 1044, 1360, 8716, 543, 11215, 269, 594, 7340, 1018, 649, 941, 6158, 827, 267, 855, 594, 4682, 547, 1205, 513, 4704, 1433, 1055, 513, 1164, 15808, 538, 1010, 5604, 269, 1879, 594, 6603, 547, 1847, 513, 1957, 7484, 602, 729, 538, 4395, 540, 621, 267, 19378, 29860, 909, 269, 968, 10673, 1406, 5905, 602, 2223, 646, 1767, 269, 968, 295, 836, 593, 1848, 1261, 10544, 5523, 519, 7484, 267, 543, 513, 7008, 540, 1866, 899, 621, 1472, 519, 5604, 267, 543, 3576, 873, 856, 540, 519, 4055, 547, 29746, 873, 563, 2108, 17764, 267, 9493, 1695, 267, 602, 779, 890, 324, 538, 1346, 11680, 2223, 1250, 3659, 14529, 3121, 623, 749, 2663, 5483, 803, 269, 594, 1223, 711, 3494, 621, 269, 594, 1185, 2097, 689, 5822, 4975, 267, 799, 729, 676, 1100, 1797, 2973, 22924, 1131, 711, 581, 796, 515, 731, 540, 547, 1294, 513, 3731, 4758, 4332, 538, 606, 936, 560, 4428, 539, 607, 6255, 2001, 267, 585, 1383, 269, 1809, 594, 1185, 2760, 4862, 540, 4896, 890, 4370, 538, 513, 7484, 4849, 693, 513, 4387, 779, 5604, 269, 9320, 596, 8910, 798, 621, 593, 513, 4155, 7552, 952, 621, 729, 1932, 2484, 1063, 1964, 13515, 269, 594, 1185, 9090, 2760, 4862, 540, 4896, 890, 4370, 538, 513, 7484, 543, 6028, 621, 593, 513, 2835, 3559, 325, 538, 1010, 5604, 547, 18493, 622, 1394, 883, 1010, 1560, 998, 519, 22405, 593, 1010, 3068, 563, 296, 5143, 513, 5256, 1071, 22086, 518, 827, 1018, 594, 1185, 2938, 269, 12984, 621, 711, 519, 14407, 652, 3364, 646, 1185, 2479, 4862, 286, 1261, 12943, 2339, 6361, 1922, 18075, 602, 646, 12212, 1705, 621, 267, 1932, 269, 1261, 1767, 621, 729, 1175, 1945, 16921, 1705, 950, 789, 941, 1932, 27823, 547, 979, 547, 519, 19880, 269, 634, 19880, 267, 594, 1058, 1448, 856, 267, 729, 827, 607, 2484, 2476, 607, 596, 616, 689, 713, 12139, 269, 594, 3323, 547, 1745, 607, 952, 594, 941, 689, 2230, 563, 296, 1572, 1250, 7911, 23136, 267, 11518, 267, 1394, 538, 9628, 269, 968, 2791, 8057, 909, 1259, 856, 538, 519, 2197, 609, 513, 19619, 540, 14552, 269, 9894, 596, 2479, 890, 324, 538, 11680, 543, 267, 899, 267, 4734, 873, 1472, 9495, 11518, 729, 5335, 592, 748, 269, 968, 1432, 256, 3143, 269, 2334, 779, 29832, 755, 532, 1848, 589, 8536, 2798, 585, 11518, 563, 5629, 594, 2968, 3222, 540, 713, 2259, 267, 594, 3323, 711, 6005, 11680, 538, 824, 4025, 269, 769, 519, 968, 25582, 754, 22352, 892, 13646, 30147, 941, 899, 519, 21273, 855, 1611, 518, 4587, 7015, 540, 519, 2834, 5830, 685, 13646, 9789, 516, 14201, 1406, 1022, 11680, 269, 1703, 729, 513, 20220, 269, 898, 729, 513, 20220, 540, 533, 1170, 609, 513, 19984, 593, 621, 267, 543, 267, 32198, 676, 922, 11007, 267, 594, 14353, 602, 519, 5830, 3006, 22883, 883, 621, 269, 2107, 602, 835, 540, 873, 729, 1768, 1026, 569, 2192, 269, 1411, 1223, 1294, 621, 950, 596, 3357, 538, 519, 7450, 267, 1394, 26569, 676, 519, 12784, 3141, 267, 543, 693, 1101, 594, 2219, 621, 729, 513, 1449, 269, 1403, 596, 4718, 519, 533, 1170, 20220, 543, 546, 1563, 547, 11716, 621, 543, 3136, 883, 519, 4055, 267, 596, 941, 20888, 269, 968, 310, 601, 20411, 892, 568, 1932, 2178, 513, 2262, 269, 1411, 941, 1547, 1547, 1547, 835, 540, 519, 16921, 286, 715, 2100, 267, 596, 917, 1018, 286, 594, 6557, 1175, 1788, 532, 269, 898, 7948, 1406, 723, 1044, 513, 1449, 267, 1317, 789, 2731, 4769, 1406, 2285, 513, 535, 3089, 2436, 596, 3357, 883, 519, 4055, 610, 711, 563, 8253, 782, 519, 2367, 693, 968, 306, 12991, 11482, 1848, 627, 714, 7458, 538, 11680, 269, 1809, 2185, 610, 2947, 856, 540, 8938, 1705, 267, 865, 519, 2367, 723, 547, 1378, 602, 835, 269, 7102, 5503, 972, 779, 513, 3983, 4775, 1796, 1575, 12341, 267, 930, 7329, 3999, 3955, 24108, 3455, 786, 17429, 576, 602, 968, 342, 1580, 5749, 1406, 16168, 1848, 4635, 602, 1482, 2979, 267, 594, 666, 17429, 576, 602, 5256, 18792, 5830, 533, 1170, 538, 11680, 563, 9827, 267, 789, 899, 547, 27642, 547, 22149, 1142, 824, 269, 898, 779, 1547, 1547, 1547, 1810, 1406, 5855, 827, 621, 269, 898, 779, 20027, 267, 2965, 563, 2414, 3136, 609, 713, 2257, 540, 3376, 31633, 267, 533, 1170, 532, 538, 11680, 949, 1397, 602, 2367, 979, 883, 18792, 547, 2736, 3652, 269, 17957, 267, 519, 2021, 594, 917, 538, 18792, 616, 782, 6867, 3814, 20766, 267, 1434, 4961, 267, 7646, 268, 10458, 1229, 2852, 20021, 269, 9320, 649, 2021, 28040, 10028, 4724, 18792, 1317, 621, 568, 513, 13998, 11807, 1259, 547, 2736, 3652, 269, 5620, 596, 2451, 803, 585, 519, 10381, 26745, 2943, 888, 2252, 596, 723, 711, 267, 1631, 594, 786, 2995, 596, 519, 1650, 540, 1250, 10583, 652, 4090, 607, 835, 540, 519, 2212, 5830, 693, 968, 306, 12991, 11482, 1848, 2311, 519, 4098, 540, 1142, 4005, 267, 519, 5234, 1131, 2328, 5010, 1612, 3672, 9789, 16995, 5010, 338, 602, 596, 723, 10150, 936, 519, 2250, 13977, 29350, 1296, 267, 971, 607, 968, 19913, 2466, 1206, 22985, 892, 543, 968, 8624, 517, 645, 869, 1848, 594, 6999, 594, 1185, 2854, 2901, 540, 1346, 267, 855, 594, 4769, 1406, 269, 630, 296, 1705, 2328, 968, 300, 558, 8614, 753, 2223, 968, 25486, 783, 324, 2223, 543, 968, 2750, 1027, 12541, 585, 30101, 6874, 3290, 10361, 2851, 2223, 952, 602, 2337, 8094, 10376, 5856, 1131, 10505, 1079, 610, 1614, 5010, 24733, 1328, 20072, 267, 543, 519, 12696, 543, 2212, 5830, 1131, 1287, 4584, 799, 3283, 1131, 581, 8929, 269, 769, 513, 3339, 1397, 3018, 267, 1169, 17250, 568, 1224, 16965, 676, 519, 5641, 693, 513, 968, 14456, 1224, 892, 538, 4395, 540, 519, 2898, 5234, 269, 634, 4055, 568, 14095, 609, 5830, 267, 9858, 267, 3942, 9946, 267, 12372, 267, 3092, 1421, 865, 596, 723, 513, 8799, 2462, 5304, 269, 15526, 666, 5873, 1141, 972, 616, 14902, 338, 267, 543, 3025, 814, 513, 2631, 540, 799, 25780, 1223, 960, 269, 634, 5010, 1612, 3672, 4769, 1406, 1205, 602, 2126, 267, 543, 7446, 799, 3283, 547, 3132, 2141, 4547, 856, 519, 10782, 538, 1004, 563, 296, 1131, 1224, 519, 17142, 540, 17288, 20072, 543, 4584, 519, 3283, 594, 17329, 269, 667, 12447, 5062, 301, 747, 15614, 267, 519, 824, 2212, 5856, 267, 1131, 4584, 519, 3283, 646, 17329, 269, 3502, 19599, 267, 649, 1142, 9053, 519, 3283, 938, 2828, 1185, 2854, 269, 1703, 729, 606, 796, 4944, 7505, 4341, 602, 596, 2760, 14593, 585, 707, 1378, 4773, 267, 2479, 563, 10190, 649, 1131, 1142, 14384, 7944, 519, 12696, 1765, 17556, 557, 11612, 326, 1231, 543, 7033, 4173, 2993, 1506, 11652, 2119, 547, 1205, 873, 547, 3858, 609, 721, 269, 1284, 1131, 3136, 713, 4009, 7544, 540, 9513, 1142, 824, 856, 585, 513, 3018, 610, 865, 267, 1152, 547, 1265, 602, 13343, 6178, 648, 25651, 267, 519, 1279, 29280, 8689, 540, 519, 5010, 1612, 3672, 267, 1185, 2907, 3323, 15246, 519, 3283, 646, 17329, 267, 1510, 6998, 721, 269, 898, 779, 513, 27803, 4376, 2479, 3893, 2944, 563, 2467, 729, 835, 1612, 1328, 7097, 602, 594, 2731, 10692, 585, 269, 898, 729, 1394, 950, 968, 5035, 545, 892, 729, 513, 2462, 10229, 7678, 269, 3213, 651, 25839, 269, 1234, 20623, 758, 25839, 269, 634, 1360, 16168, 14529, 3121, 623, 749, 1185, 2854, 513, 7097, 1572, 968, 298, 582, 1410, 25839, 1848, 634, 2856, 729, 602, 918, 582, 1410, 729, 3843, 547, 2847, 633, 1346, 2025, 562, 31106, 1606, 4869, 625, 7254, 3202, 23040, 9469, 602, 554, 10541, 547, 606, 13412, 12966, 269, 898, 12286, 519, 2021, 538, 519, 5641, 11981, 1187, 968, 19640, 7523, 892, 2238, 609, 9649, 7254, 3202, 23040, 9469, 533, 3183, 856, 540, 519, 25568, 540, 741, 1970, 8573, 1047, 14247, 753, 269, 898, 8604, 547, 803, 547, 581, 606, 5140, 1612, 1328, 540, 19911, 28101, 2861, 6725, 1247, 849, 1373, 513, 2370, 26648, 543, 25064, 269, 594, 6854, 8744, 621, 909, 538, 11401, 1152, 547, 581, 5143, 602, 621, 1131, 581, 968, 1729, 334, 2352, 547, 3132, 1848, 14529, 3121, 543, 594, 14201, 1406, 2386, 1018, 602, 5921, 267, 865, 649, 6854, 10296, 269, 7053, 267, 19378, 11612, 326, 1231, 543, 13343, 6178, 648, 25651, 2893, 1524, 609, 721, 543, 4280, 721, 547, 2491, 519, 2856, 269, 968, 1692, 1131, 649, 1294, 519, 14950, 286, 1772, 621, 513, 3364, 602, 2501, 909, 519, 4395, 286, 14348, 649, 723, 547, 24680, 538, 593, 621, 286, 14348, 333, 1406, 519, 6690, 723, 547, 1491, 741, 27890, 1055, 286, 14348, 649, 1294, 1973, 18313, 2690, 803, 267, 713, 729, 1018, 14956, 19207, 1131, 1289, 606, 589, 3873, 256, 4090, 269, 1358, 4769, 1406, 3100, 547, 917, 875, 524, 13246, 727, 513, 7254, 3202, 5991, 777, 7219, 12966, 729, 269, 898, 729, 519, 4090, 594, 7691, 602, 972, 729, 1100, 968, 13318, 6627, 1242, 3023, 1143, 892, 693, 713, 1747, 1765, 27271, 519, 16921, 1175, 12777, 4769, 1406, 917, 1018, 649, 941, 6158, 827, 269, 769, 519, 1482, 1259, 602, 594, 729, 711, 5432, 609, 519, 4625, 3339, 2688, 540, 533, 1170, 532, 538, 30660, 267, 789, 1185, 2760, 1044, 19942, 513, 4439, 3101, 25447, 918, 582, 1410, 1587, 676, 519, 1153, 12016, 269, 1809, 789, 11967, 14529, 3121, 543, 803, 267, 865, 649, 1500, 519, 5010, 267, 543, 519, 5010, 5249, 563, 10521, 1919, 941, 15260, 1005, 827, 713, 269, 2290, 267, 602, 649, 941, 4862, 269, 1656, 267, 811, 1271, 267, 594, 7691, 602, 1282, 782, 1346, 1296, 950, 594, 729, 2386, 602, 8695, 1223, 2995, 950, 594, 1185, 513, 3193, 328, 14950, 519, 2450, 540, 513, 3138, 2378, 540, 3694, 2469, 909, 519, 1394, 540, 1250, 27890, 789, 2965, 1185, 1100, 2856, 269, 2340, 503, 355, 454, 272, 296, 2161, 12370, 968, 2692, 903, 892, 1317, 789, 616, 3592, 2141, 5256, 267, 543, 1317, 789, 616, 2356, 896, 8938, 19317, 543, 723, 2760, 2944, 2168, 4074, 609, 741, 7916, 610, 7953, 269, 594, 2648, 873, 1360, 1454, 269, 0, 8256, 3569, 23645, 15173, 15158, 26085, 15613, 543, 11059, 4643, 23645, 15613, 543, 589, 2388, 454, 306, 20980, 29283, 540, 18143, 8249, 454, 763, 7027, 585, 12655, 4886, 5645, 856, 513, 8513, 13001, 4204, 1857, 6278, 3635, 538, 476, 1001, 277, 630, 4178, 4732, 639, 22563, 3820, 19544, 330, 264, 547, 513, 709, 572, 1857, 4656, 267, 7520, 5717, 543, 1628, 13618, 593, 3800, 547, 5000, 24040, 2242, 602, 616, 20009, 547, 513, 811, 4264, 4616, 4806, 593, 6211, 2200, 971, 607, 1426, 267, 7802, 267, 11647, 267, 3092, 563, 1432, 616, 18143, 8249, 888, 289, 8344, 2200, 3277, 547, 782, 2713, 7103, 602, 30593, 1480, 779, 4909, 2115, 267, 971, 607, 7802, 267, 1426, 267, 4492, 267, 1957, 267, 543, 4915, 267, 3092, 269, 13575, 6340, 267, 6211, 2200, 1331, 1614, 2010, 540, 2200, 912, 27154, 2200, 267, 552, 3052, 269, 7786, 267, 3165, 267, 27738, 267, 20641, 267, 5017, 267, 11864, 454, 24456, 2200, 267, 552, 3052, 269, 4054, 267, 19211, 267, 11922, 454, 300, 17853, 2200, 267, 552, 3052, 269, 4551, 454, 289, 8344, 8249, 538, 3776, 11545, 22032, 454, 2171, 7048, 593, 6211, 2200, 585, 938, 3232, 2115, 267, 585, 1383, 2676, 5978, 29283, 15580, 454, 295, 784, 15158, 568, 513, 4616, 2861, 2486, 799, 12346, 8185, 593, 2067, 2200, 16865, 689, 11992, 267, 543, 8754, 519, 4806, 649, 6718, 543, 8532, 5370, 543, 2533, 814, 2178, 6286, 593, 519, 6211, 2200, 538, 519, 4541, 269, 6875, 16872, 607, 606, 1383, 267, 15173, 15158, 568, 1851, 519, 1158, 781, 21050, 476, 1015, 829, 21027, 16872, 6800, 267, 543, 568, 19486, 2034, 538, 5607, 269, 634, 2179, 540, 16872, 606, 3328, 15173, 15158, 17055, 27499, 1142, 1032, 568, 811, 982, 1614, 2053, 519, 2518, 19011, 326, 2801, 563, 289, 8344, 2200, 616, 4909, 2609, 547, 519, 5117 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 1753, 454, 2791, 616, 547, 581, 7249, 7806, 4327, 585, 707, 17246, 30970, 269, 1411, 1360, 10355, 968, 27409, 760, 892, 4896, 779, 8292, 855, 519, 804, 3241, 612, 968, 338, 617, 892, 19262, 547, 581, 5167, 539, 689, 942, 547, 942, 563, 8923, 1450, 968, 338, 617, 892, 547, 3136, 547, 6085, 1934, 607, 646, 9727, 875, 4617, 519, 1325, 1301, 1235, 616, 269, 1358, 666, 1406, 20912, 602, 789, 10567, 8337, 855, 621, 8959, 547, 1570, 1047, 269, 3767, 789, 616, 6335, 532, 538, 519, 2842, 543, 1004, 899, 968, 338, 617, 892, 666, 1406, 2491, 1946, 12624, 7186, 5337, 2803, 2910, 273, 563, 32091, 3220, 269, 1530, 30807, 1014, 700, 6686, 940, 543, 4515, 269, 674, 761, 345, 966, 15786, 3128, 339, 2676, 306, 611, 569, 596, 616, 711, 2469, 547, 1205, 606, 3284, 1108, 689, 519, 20859, 945, 544, 18088, 707, 5836, 4783, 3069, 563, 301, 528, 616, 27710, 16558, 2469, 547, 1205, 519, 2724, 1394, 602, 729, 24906, 593, 519, 2856, 602, 968, 300, 527, 580, 908, 12539, 892, 1131, 4324, 938, 4541, 563, 577, 718, 3188, 585, 7091, 543, 2561, 749, 563, 2080, 568, 513, 3095, 547, 513, 1353, 593, 519, 2360, 593, 2030, 2208, 689, 11506, 11626, 1071, 273, 2157, 269, 634, 2360, 540, 6173, 908, 11626, 1071, 273, 2157, 616, 1152, 2318, 585, 2371, 543, 18867, 1426, 2504, 269, 654, 5893, 519, 1840, 540, 1071, 273, 538, 8511, 3395, 3871, 563, 296, 4898, 2436, 7091, 543, 2561, 749, 1223, 1450, 2933, 547, 1224, 971, 1570, 543, 1287, 5310, 6085, 24617, 593, 621, 888, 763, 6034, 543, 1473, 1311, 12186, 540, 16842, 12539, 667, 8610, 728, 593, 7233, 6693, 5804, 2904, 476, 1220, 279, 912, 2108, 6524, 621, 568, 2922, 547, 14487, 513, 2518, 8337, 610, 513, 2518, 9023, 1198, 547, 1022, 824, 3815, 630, 4596, 273, 538, 1880, 264, 621, 568, 2556, 547, 771, 550, 4120, 519, 21800, 20718, 2318, 543, 2942, 2360, 540, 3859, 8390, 267, 19113, 302, 270, 2894, 12569, 543, 519, 824, 30173, 9979, 269, 6884, 789, 960, 538, 796, 2581, 267, 3006, 789, 960, 1996, 1142, 824, 543, 2394, 513, 4542, 814, 1044, 2919, 547, 960, 538, 513, 5354, 540, 3871, 782, 938, 7058, 525, 827, 2916, 1689, 1590, 2097, 547, 562, 4454, 563, 3383, 267, 547, 581, 2111, 547, 6895, 543, 3589, 2242, 538, 2518, 2837, 649, 991, 811, 982, 1344, 827, 519, 2250, 267, 1699, 543, 4397, 2104, 1377, 540, 3859, 2534, 563, 2171, 849, 991, 547, 2697, 782, 519, 5094, 30173, 9979, 1472, 519, 8608, 543, 23754, 1312, 519, 1699, 1533, 540, 741, 9757, 8337, 610, 9023, 12331, 543, 267, 32047, 267, 519, 8515, 540, 1142, 267, 1312, 693, 519, 942, 540, 6482, 543, 538, 519, 2104, 563, 5629, 649, 723, 513, 5078, 4542, 594, 3494, 602, 2242, 538, 2518, 2837, 786, 1100, 3476, 581, 513, 14845, 7613, 543, 649, 786, 581, 2111, 547, 813, 10407, 519, 1697, 2597, 547, 824, 12018, 2188, 971, 607, 519, 8511, 1198, 540, 2910, 273, 3034, 314, 2507, 316, 568, 513, 1007, 2022, 676, 3220, 269, 1530, 30807, 1014, 700, 6686, 940, 543, 7905, 674, 761, 345, 966, 15786, 3128, 339, 267, 12261, 676, 24839, 717, 657, 1088, 514, 267, 593, 519, 20965, 14881, 4898, 2436, 7091, 543, 2561, 749, 1223, 1450, 2933, 547, 1224, 971, 1570, 543, 1287, 5310, 6085, 24617, 593, 621, 18313, 21837, 2561, 749, 779, 2542, 8223, 4667, 547, 581, 12758, 538, 476, 275, 628, 3446, 607, 7152, 676, 1010, 8292, 1934, 912, 21837, 2561, 749, 814, 21494, 5132, 538, 968, 20458, 12207, 892, 543, 2523, 950, 789, 2328, 4574, 602, 616, 968, 701, 518, 12649, 9731, 12179, 821, 609, 513, 10286, 540, 1455, 2631, 30877, 602, 1034, 968, 20458, 12207, 892, 616, 1603, 4574, 547, 5225, 741, 2797, 18544, 912, 26944, 2103, 593, 519, 824, 1688, 616, 2484, 811, 20310, 269, 594, 4126, 586, 685, 718, 786, 1265, 519, 942, 547, 4585, 713, 19278, 543, 13181, 3381, 912, 2108, 7661, 972, 779, 6876, 281, 7909, 9979, 616, 3743, 585, 519, 7508, 8337, 2094, 476, 1220, 271, 1635, 3220, 269, 1530, 30807, 1014, 700, 6686, 940, 543, 4515, 269, 674, 761, 345, 966, 15786, 3128, 339, 630, 23389, 1257, 12261, 267, 12995, 676, 623, 717, 657, 1088, 514, 264, 7536, 1607, 3884, 1406, 513, 4760, 1957, 267, 1318, 888, 3383, 1018, 269, 4750, 13629, 568, 11207, 13061, 563, 295, 13273, 1406, 596, 2479, 4862, 540, 519, 4950, 563, 7775, 798, 596, 1869, 2661, 538, 519, 14730, 12698, 563, 2791, 917, 596, 1616, 547, 269, 589, 942, 540, 11641, 559, 775, 543, 2068, 907, 9985, 14018, 547, 813, 749, 269, 0, 9199, 1186, 2047, 1644, 547, 19876, 532, 1331, 1346, 1369, 513, 2582, 19876, 6656, 267, 911, 328, 272, 532, 267, 476, 272, 1737, 532, 6316, 543, 12499, 30066, 26642, 267, 543, 2789, 3889, 1369, 5918, 14658, 13337, 10851, 267, 28093, 878, 622, 11655, 267, 543, 6906, 10851, 269, 700, 8632, 16304, 3774, 543, 3723, 13665, 15155, 1186, 3132, 519, 10880, 19479, 585, 891, 3889, 563, 1320, 6412, 543, 9087, 272, 323, 12966, 20637, 1590, 581, 5941, 1369, 6626, 2796, 799, 16621, 15972, 6163, 1369, 2062, 1633, 2127, 269, 8891, 15950, 5108, 267, 9194, 267, 543, 1303, 1905, 618, 538, 1082, 2062, 1633, 3889, 666, 581, 5532, 18549, 547, 519, 19876, 532, 1184, 269, 570, 624, 4577, 15205, 676, 519, 19876, 12966, 4384, 919, 2062, 1633, 3889, 267, 799, 3136, 547, 1332, 1282, 3606, 12933, 531, 2110, 2287, 563, 13146, 30405, 17656, 543, 20381, 27992, 540, 595, 523, 32223, 547, 2487, 4780, 7217, 6676, 19114, 723, 7152, 602, 1082, 540, 519, 3741, 540, 3504, 16784, 6253, 6412, 12966, 9511, 616, 813, 272, 328, 9348, 272, 324, 547, 891, 7820, 16784, 6253, 6412, 26797, 543, 934, 4958, 542, 776, 929, 3359, 269, 5381, 885, 1331, 519, 4527, 540, 695, 532, 1194, 28093, 878, 622, 19876, 338, 267, 5918, 14658, 525, 6772, 664, 676, 8789, 19876, 9212, 267, 10880, 24733, 5537, 970, 20378, 2934, 267, 543, 737, 1074, 16654, 26642, 563, 763, 2250, 13977, 1296, 540, 3282, 543, 3154, 3408, 538, 519, 8225, 543, 772, 2529, 269, 9412, 625, 814, 7000, 513, 5763, 540, 1344, 12946, 593, 519, 5108, 267, 9194, 267, 543, 1303, 1905, 618, 540, 30691, 1369, 19876, 26797, 269, 1306, 519, 21350, 272, 2541, 540, 20381, 543, 1134, 1239, 814, 6738, 267, 513, 476, 272, 1618, 2039, 540, 15972, 6163, 723, 1044, 4857, 269, 1452, 2039, 689, 2241, 1884, 545, 331, 1400, 3889, 1369, 513, 2582, 6656, 547, 23838, 540, 2789, 9212, 269, 14430, 676, 645, 958, 267, 717, 867, 344, 543, 26791, 630, 3422, 277, 1070, 667, 22844, 560, 668, 630, 3192, 271, 1070, 20858, 572, 267, 2782, 1676, 543, 1234, 3150, 630, 3192, 276, 1070, 543, 19681, 3205, 630, 2735, 273, 264, 1865, 519, 1585, 7293, 2010, 540, 8652, 21666, 24481, 3889, 602, 2049, 1369, 27743, 13738, 19876, 26797, 269, 29120, 4574, 735, 328, 272, 539, 676, 31473, 267, 1696, 513, 272, 269, 630, 2735, 275, 264, 4196, 607, 513, 1434, 2689, 540, 1018, 568, 1634, 827, 3345, 1977, 19876, 1922, 5435, 539, 1768, 3757, 525, 563, 2704, 1498, 891, 1568, 1865, 547, 930, 4110, 519, 14694, 7648, 602, 2049, 1369, 19876, 26797, 267, 2370, 2446, 814, 1044, 1500, 540, 519, 1808, 1198, 602, 891, 2934, 723, 593, 15972, 5250, 269, 2201, 1034, 3889, 267, 2241, 2185, 17574, 19479, 1131, 711, 2291, 855, 585, 519, 4527, 540, 476, 272, 8632, 15155, 1186, 269, 10765, 18096, 8862, 344, 4040, 19876, 12966, 8906, 723, 7152, 602, 14694, 15155, 1186, 543, 10880, 268, 2169, 3290, 666, 849, 3132, 19610, 19976, 4610, 9674, 676, 1164, 5086, 29529, 24966, 563, 7336, 2610, 1235, 616, 4742, 5051, 3222, 602, 29684, 16899, 3112, 581, 5701, 538, 10072, 269, 1635, 9750, 938, 21169, 547, 519, 6237, 543, 1158, 10253, 267, 649, 1265, 602, 1082, 2035, 10858, 547, 835, 7293, 11662, 849, 4019, 547, 11105, 16899, 269, 1280, 1383, 267, 29684, 4229, 3743, 585, 19876, 532, 267, 950, 5916, 609, 519, 18980, 18042, 12933, 531, 15205, 540, 30528, 9212, 267, 666, 3132, 25810, 2987, 341, 9407, 2062, 1633, 3889, 269, 634, 3741, 540, 9511, 543, 15972, 5250, 538, 3504, 19876, 26797, 666, 849, 581, 4294, 547, 595, 523, 32223, 19876, 26797, 543, 934, 4958, 542, 776, 23838, 693, 4780, 7217, 3531, 19114, 563, 763, 14724, 540, 19876, 12966, 7293, 20637, 2049, 1369, 513, 2582, 19876, 6656, 543, 616, 540, 1614, 2010, 281, 911, 4979, 6316, 267, 12499, 30066, 267, 543, 3056, 6316, 1884, 545, 6050, 630, 8201, 476, 272, 1040, 0, 763, 595, 5183, 543, 595, 11902, 616, 1312, 6444, 607, 3407, 22754, 585, 4648, 538, 519, 2883, 2533, 2872, 269, 1717, 267, 1620, 519, 11984, 1063, 519, 1079, 666, 581, 14845, 269, 1703, 616, 11029, 3604, 538, 1312, 1599, 543, 4170, 267, 855, 8051, 543, 8804, 4648, 666, 15407, 891, 22754, 585, 5571, 4876, 1967, 269, 19805, 1063, 519, 595, 5183, 543, 595, 11902, 1374, 725, 568, 606, 1271, 1900, 538, 8159, 799, 1870, 4876, 2619, 568, 1318, 585, 596, 563, 290, 1068, 1881, 1857, 2272, 1218, 630, 9573, 2026, 264, 723, 6192, 519, 31538, 26133, 5398, 10055, 656, 11929, 2059, 609, 5870, 741, 1808, 1533, 779, 4170, 585, 13995, 269, 634, 595, 5183, 981, 568, 13950, 676, 519, 1977, 4659, 540, 26133, 5398, 10055, 1218, 269, 769, 2489, 267, 1346, 945, 3180, 519, 595, 5183, 19609, 616, 3743, 585, 3454, 8989, 543, 25937, 267, 1498, 1808, 2816, 11645, 4268, 676, 1909, 269, 1358, 948, 3549, 543, 2043, 11694, 12434, 543, 7413, 9204, 267, 2059, 609, 968, 335, 18166, 5359, 602, 8308, 2992, 519, 1870, 4308, 902, 540, 3549, 543, 2043, 789, 960, 585, 2223, 7767, 31638, 3081, 563, 2419, 691, 1229, 2883, 19767, 630, 20003, 2026, 1070, 593, 519, 824, 1688, 267, 723, 6192, 519, 4170, 540, 519, 595, 11902, 4659, 779, 1982, 269, 901, 2882, 15980, 606, 15938, 4110, 267, 11264, 1142, 540, 519, 1614, 595, 11902, 4255, 267, 543, 11543, 2872, 1995, 269, 2991, 13844, 713, 19609, 267, 18435, 2026, 960, 538, 513, 3099, 540, 2883, 25566, 5107, 267, 6313, 968, 1492, 2208, 543, 20656, 540, 3549, 607, 1134, 607, 741, 5491, 10290, 1465, 543, 519, 2179, 540, 7963, 789, 4163, 2223, 2687, 547, 7767, 31638, 269, 18435, 2026, 666, 1685, 2123, 2883, 4058, 543, 5763, 2359, 267, 607, 1134, 607, 1443, 2358, 7218, 593, 5092, 3664, 563, 290, 5183, 5288, 269, 595, 11902, 1401, 4461, 454, 26473, 790, 906, 585, 519, 595, 5183, 981, 4268, 676, 1533, 267, 855, 538, 2489, 267, 23078, 1590, 581, 20277, 779, 4110, 25963, 609, 476, 6344, 610, 476, 5611, 19496, 17099, 269, 1358, 1590, 849, 1780, 1142, 6712, 540, 519, 981, 543, 723, 4143, 960, 1995, 269, 12409, 4170, 2356, 2874, 540, 476, 2190, 547, 476, 1789, 3108, 538, 8051, 267, 543, 930, 2829, 849, 2154, 835, 547, 1079, 1296, 540, 8051, 1995, 1354, 2921, 519, 981, 269, 5221, 540, 519, 7453, 3872, 4170, 267, 1082, 23078, 3442, 547, 11654, 513, 4487, 779, 4110, 538, 8051, 547, 11886, 519, 2556, 3108, 563, 12179, 821, 945, 6585, 513, 20277, 779, 4110, 666, 1694, 585, 519, 595, 11902, 981, 267, 855, 2489, 4170, 547, 7118, 713, 19609, 1331, 8429, 1142, 540, 1614, 11400, 543, 2348, 1614, 1296, 540, 4143, 960, 1995, 269, 634, 981, 5161, 540, 1614, 267, 3670, 16923, 4255, 602, 3382, 912, 268, 11038, 3741, 454, 268, 11038, 2079, 543, 8051, 454, 268, 5800, 12859, 2359, 543, 3375, 6194, 454, 22512, 619, 2991, 27872, 454, 763, 1739, 616, 930, 540, 519, 4876, 3681, 2139, 547, 1346, 945, 723, 6192, 519, 595, 5183, 543, 595, 11902, 11400, 563, 268, 10055, 656, 543, 2912, 3218, 281, 12344, 519, 1034, 3551, 4876, 2619, 1310, 11264, 519, 595, 5183, 981, 568, 4742, 606, 2272, 656, 610, 2912, 3218, 269, 1452, 4648, 2327, 602, 2883, 6898, 616, 4977, 543, 16783, 609, 6042, 269, 13786, 4850, 3335, 1331, 8600, 3454, 7024, 267, 4509, 2883, 5638, 267, 543, 1818, 2883, 7840, 547, 2359, 269, 4340, 547, 519, 13163, 540, 8534, 10803, 630, 289, 11862, 1070, 519, 3328, 14057, 585, 2272, 1218, 543, 2912, 6002, 568, 1269, 6858, 267, 5002, 563, 268, 2552, 28948, 281, 4746, 1634, 607, 635, 696, 28948, 267, 713, 4876, 3322, 13327, 4370, 519, 1585, 2883, 13623, 1369, 513, 2754, 269, 901, 949, 1331, 8051, 267, 6578, 267, 20894, 267, 543, 824, 15523, 269, 2552, 2651, 619, 616, 3743, 585, 968, 335 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 454, 15744, 366, 271, 323, 22933, 355, 1412, 337, 1412, 15744, 366, 271, 681, 24033, 377, 15744, 366, 24033, 511, 31014, 15234, 1990, 337, 1412, 1743, 262, 476, 273, 1990, 305, 681, 476, 273, 454, 22933, 355, 20371, 292, 345, 23880, 4449, 23526, 476, 273, 692, 275, 701, 522, 19569, 355, 23880, 11434, 23880, 825, 1990, 454, 343, 454, 274, 454, 320, 4449, 672, 1627, 454, 292, 23880, 19569, 366, 341, 7386, 20842, 23880, 454, 24994, 7386, 476, 24994, 454, 541, 454, 5719, 546, 27475, 2892, 523, 17485, 454, 3916, 2572, 632, 681, 286, 14030, 672, 476, 274, 324, 522, 678, 672, 476, 273, 454, 275, 701, 522, 678, 567, 476, 273, 454, 303, 9950, 269, 476, 275, 269, 276, 454, 22933, 362, 567, 589, 4009, 6676, 693, 7077, 1990, 284, 271, 543, 1535, 25104, 352, 25104, 365, 273, 267, 586, 25104, 352, 25104, 365, 273, 454, 322, 1551, 625, 513, 5279, 476, 1321, 586, 544, 290, 8276, 273, 1547, 4855, 519, 2698, 454, 8408, 593, 519, 6676, 543, 519, 3167, 2361, 8515, 693, 454, 263, 271, 267, 271, 267, 1015, 1916, 273, 672, 476, 273, 23526, 476, 273, 672, 476, 273, 4449, 19930, 476, 273, 476, 273, 454, 344, 454, 304, 23880, 17986, 366, 15848, 17986, 366, 476, 1321, 586, 10085, 23880, 17986, 366, 15848, 17986, 366, 476, 1321, 263, 273, 264, 586, 11276, 23880, 476, 275, 17986, 501, 1321, 263, 273, 264, 672, 476, 4572, 544, 290, 454, 343, 23880, 12865, 511, 273, 586, 23880, 12865, 511, 273, 825, 1535, 23880, 12865, 511, 273, 586, 23880, 476, 271, 4449, 476, 273, 476, 271, 454, 22933, 366, 19569, 366, 454, 22933, 366, 338, 4449, 8587, 19569, 366, 521, 546, 306, 678, 12865, 511, 678, 1412, 454, 292, 24033, 377, 15744, 366, 23526, 476, 24994, 454, 323, 306, 541, 1038, 23880, 15744, 366, 1038, 19569, 366, 19569, 366, 454, 275, 701, 522, 678, 476, 273, 4449, 476, 275, 701, 522, 678, 12865, 511, 678, 1412, 476, 274, 454, 22933, 366, 19569, 366, 454, 337, 12865, 511, 678, 1412, 23880, 630, 271, 267, 271, 267, 1015, 264, 12865, 511, 630, 1535, 262, 2073, 586, 262, 2073, 271, 264, 23880, 630, 24033, 511, 1535, 262, 2073, 24033, 511, 586, 262, 2073, 1015, 994, 345, 692, 6944, 2507, 9917, 564, 540, 454, 8408, 454, 344, 284, 273, 692, 22933, 366, 14030, 14030, 1535, 284, 273, 454, 263, 24033, 511, 1535, 267, 24033, 511, 586, 267, 1015, 994, 273, 567, 476, 273, 454, 1321, 586, 15848, 11276, 454, 292, 24033, 377, 825, 17986, 366, 17986, 366, 454, 24033, 511, 476, 273, 586, 23880, 12865, 511, 273, 454, 275, 701, 522, 672, 12865, 357, 343, 567, 476, 273, 454, 24033, 360, 586, 31609, 476, 1911, 454, 273, 454, 24033, 358, 567, 476, 274, 270, 476, 273, 692, 15744, 358, 273, 8587, 476, 273, 454, 24033, 511, 1535, 11459, 323, 5984, 1535, 454, 24994, 16875, 476, 273, 476, 273, 454, 24033, 511, 586, 586, 15848, 323, 5984, 586, 454, 24994, 1038, 476, 273, 476, 476, 273, 454, 1015, 586, 15848, 323, 5984, 1990, 24994, 454, 24033, 377, 476, 10482, 17986, 501, 1015, 17986, 359, 17986, 366, 586, 17986, 366, 454, 277, 454, 24033, 360, 15744, 366, 17986, 366, 23351, 31609, 15744, 366, 344, 17986, 366, 454, 15744, 359, 24033, 511, 476, 273, 1535, 23880, 12865, 511, 273, 12865, 357, 343, 31609, 586, 31609, 476, 1911, 12865, 358, 4449, 476, 12865, 357, 343, 31609, 586, 31609, 476, 1911, 12865, 358, 12865, 511, 273, 1535, 24033, 377, 24033, 511, 273, 12865, 357, 343, 476, 273, 31609, 586, 476, 273, 31609, 476, 1911, 12865, 358, 274, 270, 476, 273, 454, 273, 825, 476, 273, 11434, 476, 274, 270, 476, 273, 25639, 476, 273, 825, 476, 273, 11434, 476, 274, 270, 476, 273, 454, 15744, 360, 4449, 3546, 12865, 511, 476, 273, 1535, 23880, 12865, 511, 273, 692, 18814, 547, 15340, 1152, 26442, 3470, 1161, 912, 22933, 366, 23526, 17986, 358, 476, 273, 476, 273, 476, 1015, 586, 11459, 11276, 1794, 17986, 373, 454, 24994, 454, 292, 23880, 476, 10482, 17986, 501, 1015, 17986, 501, 476, 273, 15744, 359, 17986, 366, 17986, 366, 454, 277, 454, 274, 270, 476, 273, 17986, 374, 454, 15744, 360, 16875, 12865, 357, 454, 15744, 359, 24033, 511, 273, 476, 271, 1535, 31609, 586, 31609, 476, 1911, 17986, 374, 454, 273, 567, 476, 273, 454, 15744, 375, 672, 12865, 358, 454, 24033, 377, 476, 1626, 269, 276, 1794, 631, 309, 1315, 544, 454, 24994, 454, 25821, 12071, 343, 25670, 454, 291, 568, 4830, 540, 519, 5420, 538, 799, 519, 454, 8408, 568, 5116, 780, 22933, 366, 8587, 19569, 366, 672, 19569, 366, 642, 546, 341, 454, 291, 23880, 552, 334, 292, 23880, 17986, 366, 1363, 476, 24994, 454, 320, 305, 1496, 290, 1315, 544, 476, 273, 23378, 275, 335, 305, 567, 476, 273, 692, 10190, 519, 3167, 13441, 568, 10778, 22933, 366, 19569, 366, 454, 22933, 503, 23880, 17986, 366, 667, 17986, 501, 546, 306, 1496, 290, 23378, 294, 320, 1380, 779, 4521, 454, 22933, 366, 19569, 366, 454, 22933, 503, 23880, 17986, 366, 667, 17986, 501, 546, 306, 23880, 1627, 16780, 454, 306, 454, 22933, 366, 19569, 366, 454, 304, 16780, 23880, 17986, 366, 19569, 366, 642, 546, 341, 23880, 17986, 366, 667, 17986, 501, 546, 306, 454, 306, 454, 22933, 366, 19569, 366, 2018, 19569, 366, 454, 15744, 366, 667, 17986, 501, 546, 306, 23880, 17986, 366, 17986, 495, 17986, 501, 667, 546, 341, 454, 306, 16875, 642, 692, 22933, 366, 454, 22933, 366, 341, 23880, 17986, 495, 17986, 501, 667, 454, 294, 320, 1380, 779, 4521, 454, 22933, 362, 567, 634, 2698, 3167, 13441, 19569, 503, 2676, 10843, 1022, 6806, 454, 22933, 366, 672, 19569, 366, 8587, 19569, 366, 642, 546, 341, 454, 291, 23880, 552, 334, 292, 23880, 17986, 366, 1363, 476, 24994, 454, 320, 454, 338, 16577, 568, 3160, 547, 519, 4449, 567, 476, 275, 335, 305, 476, 476, 273, 681, 454, 22933, 366, 19569, 366, 454, 20135, 5279, 20583, 676, 672, 19569, 503, 23880, 1627, 16780, 23880, 17986, 366, 667, 17986, 501, 546, 306, 23880, 17986, 366, 19569, 366, 642, 546, 341, 454, 7474, 2627, 269, 23351, 590, 16875, 642, 454, 5278, 1806, 281, 15531, 667, 693, 1448, 454, 303, 689, 519, 10997, 912, 291, 567, 19569, 362, 567, 8672, 932, 1618, 568, 693, 519, 5169, 563, 22933, 366, 19569, 366, 454, 303, 4449, 567, 1627, 23880, 17986, 366, 667, 17986, 501, 546, 306, 454, 337, 4449, 17264, 590, 692, 8408, 16875, 19569, 362, 567, 7994, 513, 20085, 546, 306, 454, 22933, 362, 567, 8074, 1141, 667, 568, 13902, 454, 1729, 713, 2627, 563, 304, 23880, 3220, 17986, 366, 546, 306, 23880, 3220, 476, 275, 1440, 476, 273, 454, 306, 692, 304, 454, 291, 24033, 377, 11434, 476, 24994, 454, 541, 454, 275, 1440, 476, 273, 454, 5278, 1806, 281, 15531, 667, 693, 1448, 623, 454, 5228, 519, 10997, 912, 22933, 362, 567, 5606, 9548, 7412, 932, 1618, 454, 22933, 366, 19569, 366, 454, 22933, 366, 331, 546, 331, 23880, 1627, 23880, 17986, 366, 667, 17986, 501, 546, 306, 454, 306, 454, 18118, 3546, 667, 454, 8408, 454, 22933, 366, 19930, 19569, 362, 567, 7994, 513, 20425, 546, 306, 454, 303, 454, 22933, 362, 567, 8074, 602, 7533, 815, 271, 693, 1283, 543, 454, 321, 18847, 7252, 540, 12718, 692, 304, 23880, 667, 22933, 366, 17986, 366, 546, 306, 23880, 667, 22933, 366, 476, 273, 335, 22933, 366, 561, 454, 22933, 366, 19569, 366, 299, 454, 291, 24033, 377, 672, 476, 24994, 4449, 11434, 590, 454, 320, 22933, 366, 454, 273, 335, 22933, 366, 454, 5278, 1806, 281, 4855, 667, 693, 1448, 623, 454, 5228, 519, 10997, 912, 22933, 362, 567, 5606, 9548, 16847, 540, 5279, 454, 291, 4449, 16875, 19569, 366, 19569, 366, 454, 22933, 366, 521, 17986, 366, 546, 306, 23880, 1627, 23880, 17986, 366, 667, 17986, 501, 546, 306, 454, 9917, 564, 540, 14030, 672, 590, 454, 8408, 454, 22933, 362, 567, 7994, 513, 20425, 4216, 454, 12827, 1154, 519, 6656, 454, 22704, 589, 4449, 16875, 17986, 358, 23526, 17986, 373, 454, 291, 454, 22933, 366, 590, 589, 23880, 1627, 23880, 667, 338, 17986, 359, 17986, 366, 546, 306, 31609, 17986, 366, 546, 306, 17986, 374, 454, 15744, 359, 9008, 454, 15744, 360, 11434, 5377, 17986, 374, 454, 15744, 375, 454, 22933, 366, 19569, 366, 306, 23526, 8074, 602, 667, 568, 6252, 547, 519, 454, 291, 24033, 377, 567, 476, 24994, 454, 1794, 2018, 5011, 540, 519, 4216, 563, 273, 7386, 19569, 366, 590, 589, 23880, 667, 338, 19569, 505, 288, 31609, 589, 22933, 507, 454, 303, 9950, 269, 567, 589, 1448, 5279, 540, 476, 1789, 333, 290, 568, 4092, 693, 519, 5169, 267, 1247, 454, 30350, 586, 284, 274, 11438, 5279, 476, 1015, 333, 290, 8276, 273, 563, 275, 269, 278, 567, 4855, 667, 693, 630, 271, 267, 476, 275, 267, 476, 274, 2020, 22933, 366, 19569, 366, 8587, 19569, 366, 672, 1627, 1038, 19569, 366, 338, 454, 291, 23880, 667, 304, 31609, 667, 22933, 366, 23880, 11434, 818, 31609, 606, 454, 24994, 8587, 476, 24994, 454, 275, 1440, 476, 273, 454, 273, 454, 22933, 366, 1363, 476, 1789, 17986, 501, 1015, 24033, 511, 280, 454, 291, 24033, 377, 4449, 672, 19569, 505, 263, 271, 267, 275, 267, 274, 264, 12865, 511, 630, 271, 267, 271, 267, 271, 264, 22933, 507, 31609, 513, 586, 454, 1015, 333, 454, 24994, 454, 275, 335, 567, 12865, 357, 567, 476, 275, 31609, 274, 454, 273, 567, 476, 273, 454, 24033, 358, 454, 274, 454, 273, 692, 22933, 366, 476, 1789, 17986, 501, 1015, 12865, 511, 280, 454, 291, 24033, 377, 16875, 630, 271, 267, 275, 267, 274, 264, 31609, 476, 276, 3534, 586, 454, 24994, 454, 275, 335, 12865, 357, 276, 24033, 358, 454, 274, 692, 24033, 377, 476, 276, 269, 5400, 513, 586, 31609, 476, 271, 269, 4962, 278, 513, 1990, 562, 290, 8276, 476, 273, 454, 24994, 19930, 476, 24994, 454, 22933, 366, 454, 303, 9950, 269, 476, 275, 269, 279, 454, 24033, 357, 11434, 12865, 358, 454, 2252, 667, 23880, 476, 273, 586, 476, 273, 31609, 1990, 4949, 31609, 476, 275, 15383, 599, 31609, 1535, 1794, 595, 8276, 273, 1547, 4855, 10778, 24994, 11434, 476, 24994, 672, 476, 24994, 454, 22933, 362, 476, 4320, 5279, 5860, 693, 11196, 272, 267, 271, 267, 274, 994, 22933, 366, 454, 22933, 366, 341, 630, 24033, 511, 272, 267, 271, 267, 274, 264, 23880, 17986, 495, 17986, 501, 667, 23880, 476, 275, 343, 23880, 12865, 511, 275, 290, 8276, 274, 692, 22933, 362, 567, 12071, 343, 555, 745, 519, 13306, 3989, 676, 476, 271, 25104, 352, 1535, 25104, 352, 476, 272, 267, 476, 271, 25104, 352, 586, 25104, 352, 476, 272, 267, 271, 25104, 352, 1990, 25104, 352, 476, 272, 454, 272, 476, 272, 476, 272, 454, 22933, 503, 23880, 1627, 16780, 23880, 17986, 366, 19569, 366, 642, 546, 341, 23880, 17986, 366, 17986, 366, 17986, 366, 476, 275, 1535, 15848, 11276, 546, 345, 454, 341, 19930, 476, 271, 476, 271, 476, 271, 454, 22933, 362, 567, 11192, 5279, 20583, 676, 519, 13306, 692, 304, 23880, 19569, 503, 23880, 476, 273, 290, 454, 18800, 454, 11592, 5279, 610, 23526, 1627, 454, 14179, 2541, 4449, 567, 667, 24033, 377, 11434, 476, 24994, 454, 541, 454, 2419, 1618, 3892, 1363, 476, 275, 1440, 476, 273, 692, 18118, 5279, 19930, 19569, 366, 19569, 366, 299, 454, 23251, 9084, 16875, 667, 24033, 377, 672, 476, 24994, 454, 320, 22933, 366, 454, 273, 335, 22933, 366, 692, 9515, 564, 5279, 454, 23251, 9084, 16875, 19569, 366, 19569, 366, 306, 454, 291, 24033, 377, 567, 476, 24994, 454, 534, 454, 273, 454, 2171, 786, 1353, 11272, 10997, 1384, 22933, 362, 595, 9567, 4861, 781, 4521, 630, 2102, 1968, 2665, 994, 22933, 362, 12821, 1380, 779, 4521, 630, 22131, 20470, 2665, 2020, 22933, 362, 11272, 15783, 630, 4926, 22185, 267, 711, 10321, 994, 25821, 15783, 267, 966, 454, 22933, 362, 567, 634, 960, 2944, 547, 1847, 513, 5279, 1627, 689, 589, 547, 645, 568, 454, 22933, 366, 454, 323, 310, 23880, 12865, 511, 674, 17986, 501, 546, 331, 454, 22933, 366, 454, 24994, 454, 599, 4449, 11434, 23880, 12865, 511, 304, 292, 17986, 501, 546, 331, 454, 22933, 362, 567, 634, 11196, 264, 1797, 519, 960, 568, 2944, 676, 606, 5007, 3196, 563, 22933, 362, 567, 634, 2698, 960, 284, 1761, 1648, 2838 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3968, 2557, 609, 544, 563, 13356, 476, 6860, 267, 476, 736, 840, 574, 8690, 566, 4719, 5868, 30127, 323, 585, 1395, 8328, 4713, 4867, 3322, 29920, 5832, 5114, 533, 13062, 1759, 2409, 267, 799, 1590, 581, 7347, 267, 6213, 543, 3810, 4977, 267, 840, 6984, 3765, 10972, 1725, 2670, 269, 661, 325, 985, 839, 4808, 585, 519, 946, 540, 533, 13062, 2029, 585, 519, 269, 21584, 533, 13062, 22372, 10368, 585, 11763, 3676, 1929, 1990, 344, 269, 32369, 7824, 3156, 540, 519, 29920, 5832, 5114, 547, 5868, 540, 29555, 6193, 2068, 519, 29920, 5832, 5114, 533, 13062, 568, 513, 3532, 7636, 1979, 11043, 4480, 585, 519, 2079, 540, 269, 280, 2420, 476, 14056, 476, 277, 2918, 476, 278, 3607, 476, 3374, 278, 476, 26951, 476, 26493, 476, 14681, 276, 476, 278, 4817, 476, 279, 8618, 476, 15836, 277, 476, 13199, 275, 476, 279, 4029, 476, 14138, 275, 476, 16318, 277, 476, 4375, 275, 476, 15793, 279, 476, 5325, 275, 476, 1911, 280, 476, 16318, 272, 476, 10441, 273, 476, 31696, 476, 4366, 276, 476, 6200, 476, 9340, 271, 476, 8099, 272, 476, 279, 7830, 476, 26839, 476, 9610, 276, 476, 5379, 273, 476, 2568, 476, 15221, 476, 6507, 277, 476, 14625, 272, 476, 16318, 476, 14096, 476, 1911, 476, 29300, 476, 278, 2918, 476, 278, 2190, 476, 26839, 0, 26872, 1323, 10262, 16676, 340, 541, 19314, 25321, 307, 6020, 289, 308, 16739, 20978, 670, 2207, 10790, 297, 12239, 312, 24202, 23333, 2177, 22494, 9215, 5990, 454, 15771, 6579, 4696, 5085, 15771, 8656, 29206, 2793, 3582, 3201, 12327, 26980, 10292, 3582, 5508, 476, 6942, 277, 563, 288, 5832, 540, 10195, 14084, 1063, 476, 2641, 4113, 476, 5655, 12664, 543, 476, 2767, 4113, 476, 4097, 12664, 715, 269, 4234, 1421, 543, 476, 7761, 4113, 476, 2412, 12664, 543, 476, 8064, 4113, 476, 276, 262, 654, 269, 1279, 269, 634, 1895, 568, 7768, 540, 827, 476, 736, 20948, 10195, 543, 606, 10373, 1297, 540, 568, 7410, 543, 7725, 269, 634, 9030, 10195, 616, 1715, 3038, 2064, 630, 935, 8877, 519, 3854, 267, 715, 817, 879, 1070, 2806, 23147, 267, 4498, 13118, 6816, 267, 18479, 583, 515, 571, 267, 769, 698, 7699, 267, 2904, 16331, 3570, 267, 853, 269, 30571, 267, 1656, 4592, 6816, 267, 4279, 15840, 4821, 267, 681, 698, 3022, 6816, 267, 681, 636, 595, 599, 267, 1401, 6373, 267, 7043, 6816, 267, 15867, 12097, 6816, 267, 25532, 4802, 6816, 267, 7043, 595, 599, 267, 20242, 1782, 781, 6816, 267, 519, 7137, 787, 11866, 267, 543, 519, 645, 574, 17430, 563, 1805, 269, 30571, 267, 835, 540, 519, 10195, 21882, 713, 5832, 267, 729, 519, 1101, 2244, 4362, 676, 19090, 593, 1010, 22116, 538, 476, 14983, 273, 269, 1715, 3038, 2064, 729, 12306, 676, 519, 2296, 538, 476, 14341, 280, 267, 543, 4371, 11489, 476, 13932, 272, 267, 950, 519, 1975, 8643, 1841, 30461, 873, 267, 855, 1500, 1100, 8942, 547, 7017, 972, 2933, 269, 898, 729, 1586, 32519, 676, 4789, 538, 476, 14917, 278, 267, 855, 8593, 883, 519, 3946, 540, 519, 3943, 543, 1975, 8643, 1841, 538, 476, 10204, 274, 267, 1310, 799, 621, 2968, 513, 14906, 14162, 31773, 585, 31503, 267, 945, 941, 538, 476, 14378, 279, 970, 597, 335, 730, 267, 950, 513, 2834, 7810, 7245, 729, 3964, 267, 543, 519, 10160, 540, 6554, 729, 6378, 972, 269, 769, 476, 9965, 272, 519, 15840, 24252, 941, 1147, 16781, 1229, 547, 519, 1975, 8643, 1841, 267, 855, 693, 519, 3932, 540, 519, 2112, 789, 941, 2899, 811, 24509, 539, 676, 267, 543, 6368, 9672, 547, 267, 4279, 6628, 693, 519, 13458, 540, 12411, 320, 14792, 267, 476, 9965, 274, 269, 769, 476, 7277, 279, 519, 5695, 802, 543, 6970, 545, 657, 11866, 941, 9674, 689, 519, 824, 15840, 24252, 267, 543, 4646, 883, 513, 3982, 6554, 267, 896, 519, 6554, 2987, 16644, 3971, 540, 519, 17135, 540, 25706, 563, 763, 5695, 802, 543, 6970, 545, 657, 11866, 9114, 1063, 476, 2641, 4113, 543, 476, 2420, 4113, 715, 269, 4234, 1421, 543, 476, 10170, 4113, 543, 476, 7761, 4113, 476, 4391, 12664, 654, 269, 1279, 563, 307, 8565, 543, 12752, 563, 2467, 616, 4557, 7810, 2688, 3620, 11817, 543, 16788, 540, 7127, 538, 519, 6554, 540, 519, 15840, 24252, 267, 642, 714, 1421, 715, 817, 879, 267, 2806, 23147, 267, 18479, 583, 515, 571, 267, 4498, 13118, 6816, 267, 1401, 6373, 267, 681, 636, 595, 599, 267, 7043, 6816, 267, 7043, 595, 599, 267, 769, 698, 7699, 267, 543, 681, 698, 3022, 6816, 269, 6333, 762, 9424, 540, 12566, 22190, 956, 267, 24453, 267, 543, 29008, 525, 616, 29633, 267, 30109, 547, 4789, 543, 519, 2136, 2276, 563, 763, 12566, 268, 20625, 7693, 568, 1360, 3348, 13895, 269, 634, 2872, 540, 6070, 986, 6362, 814, 30403, 547, 581, 1121, 684, 518, 894, 267, 19962, 547, 519, 1164, 8825, 11645, 13684, 593, 6070, 676, 519, 2136, 2276, 563, 16987, 9323, 538, 6995, 9544, 543, 824, 8371, 540, 2872, 723, 1044, 862, 10642, 896, 519, 19121, 720, 540, 519, 1459, 17135, 563, 763, 1686, 540, 519, 15840, 24252, 3459, 538, 476, 14983, 273, 267, 950, 19090, 267, 519, 1390, 22082, 267, 4044, 1807, 267, 543, 1167, 913, 17243, 540, 513, 1715, 2622, 15354, 593, 519, 13272, 540, 2871, 534, 6501, 328, 543, 3957, 621, 853, 269, 30571, 269, 25642, 1705, 711, 5612, 1246, 538, 519, 12687, 540, 6602, 267, 855, 827, 476, 7742, 1296, 1310, 602, 2680, 267, 12566, 13212, 941, 6738, 693, 543, 29633, 689, 18479, 583, 515, 571, 267, 543, 476, 2004, 1296, 2663, 10412, 729, 14916, 16916, 267, 543, 6070, 543, 3574, 3773, 547, 519, 18666, 269, 2311, 519, 1459, 942, 519, 12733, 781, 25411, 1255, 616, 6070, 267, 4829, 267, 26703, 267, 3046, 802, 267, 20004, 543, 11647, 18137, 267, 1368, 8457, 267, 543, 12450, 267, 14854, 7387, 267, 3165, 4336, 543, 7387, 960, 563, 763, 4930, 593, 14266, 9425, 2099, 519, 24299, 543, 3302, 999, 540, 891, 10195, 267, 543, 1312, 1522, 581, 22543, 17802, 6905, 269, 1809, 621, 568, 711, 519, 5010, 2990, 540, 519, 15840, 24252, 1152, 799, 1058, 1118, 513, 1702, 540, 873, 2489, 269, 4256, 7862, 543, 8748, 2892, 889, 31772, 540, 2916, 862, 754, 873, 547, 782, 945, 3343, 513, 1024, 658, 267, 2635, 267, 1272, 3766, 1516, 5790, 269, 1306, 513, 5162, 1753, 585, 519, 3413, 21719, 267, 8834, 8361, 23745, 5206, 5176, 513, 2540, 543, 513, 3368, 3516, 267, 834, 2005, 568, 1100, 4898, 519, 7210, 8038, 554, 2416, 585, 8323, 267, 1373, 2386, 547, 1265, 513, 10826, 1934, 1701, 7073, 2951, 6840, 849, 1449, 1518, 602, 607, 513, 18992, 689, 14927, 543, 4411, 547, 24106, 543, 4832, 585, 1346, 945, 2154, 1689, 543, 20296, 4324, 519, 15840, 24252, 2709, 15116, 5383, 269, 634, 3002, 568, 10917, 1229, 676, 606, 5836, 30089, 540, 2571, 1145, 543, 19454, 25864, 4810, 11992, 269, 23427, 5810, 1350, 5417, 523, 519, 3750, 267, 543, 519, 561, 639, 4109, 12566, 20625, 267, 10538, 267, 543, 5283, 517, 15673, 519, 31370, 609, 741, 4195, 1145, 543, 5898, 269, 12551, 32736, 538, 519, 2312, 533, 749, 16112, 7297, 4478, 891, 10195, 267, 543, 519, 7187, 535, 25717, 3343, 513, 1753, 593, 519, 12647, 269, 769, 513, 2262, 267, 519, 15840, 24252, 521, 576, 332, 676, 2470, 19034, 607, 513, 6264, 24846, 10740, 585, 519, 3413, 21719, 689, 519, 3345, 1977, 2552, 5799, 267, 543, 607, 513, 1034, 14909, 5162, 18992, 585, 782, 945, 6999, 547, 9101, 519, 6551, 2293, 540, 519, 8832, 17897, 563, 5141, 269, 476, 7785, 267, 476, 31430, 563, 9915, 4488, 8379, 27602, 5508, 654, 302, 7495, 306, 630, 32602, 308, 293, 3722, 8894, 8489, 519, 12313, 568, 2016, 621, 568, 2141, 547, 581, 454, 306, 1177, 9807, 267, 681, 269, 670, 1421, 1299, 3213, 269, 476, 272, 2845, 17939, 545, 340, 610, 454, 274, 4773, 5682, 661, 2548, 344, 630, 323, 6614, 1070, 7361, 29633, 454, 24730, 267, 808, 7224, 269, 521, 269, 476, 272, 4062, 8298, 6229, 630, 323, 6614, 1070, 1849, 269, 476, 7785, 267, 476, 31430, 269, 3622, 29633, 547, 5507, 269, 476, 275, 4773, 4858, 345, 850, 339, 1729, 630, 4777, 13776, 3622, 29633, 547, 519, 2136, 2276, 269, 476, 273, 4773, 5682, 661, 2548, 344, 630, 4777, 4700, 476, 272, 4062, 14117, 12566, 630, 325, 1248, 8132, 1070, 1804, 7733, 540, 623, 3558, 25882, 616, 538, 519, 15840, 24252, 711, 8246, 269, 476, 272, 4062, 17939, 545, 340, 610, 21696, 325, 956, 327, 630, 4777, 4700, 476, 272, 4062, 10067, 690, 1415, 630, 4777, 4700, 476, 272, 4062, 595, 25729, 630, 4777, 4700, 476, 272, 4062, 9045, 514, 8381, 630, 4777, 4700, 476, 272, 4062, 17547, 704, 8381, 630, 4777, 4700, 476, 272, 4062, 21060, 8381, 630, 4777, 13776, 711, 693, 1459, 29633, 269, 476, 272, 4062, 700, 793, 636, 23554, 19508, 630, 4777, 13776, 29633, 547, 5507, 269, 715, 657, 269, 476, 1321, 547, 476, 2420, 563, 12710, 269, 476, 7785, 267, 476, 31430, 454, 5141, 269, 476, 7785, 267, 476, 31430, 563, 5141, 269, 476, 7785, 267, 476, 31430, 563, 5141, 269, 476, 7785, 267, 476, 31430, 563, 291, 1575, 1276, 267, 9478, 269, 476, 4792, 29303, 2052, 525, 267, 782, 14475, 856, 540, 18137, 3395, 538, 519, 15840, 24252, 269, 476, 273, 595, 4599, 8381, 267, 1142, 1269, 272, 476, 1839, 267, 666, 581, 13859, 538, 715, 817, 879, 689, 519, 3529, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 4414, 595, 4599, 8381, 267, 1142, 1269, 272, 476, 1839, 267, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 16629, 6072, 8381, 267, 1142, 1269, 272, 267, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 4563, 8776, 577, 267, 1142, 1269, 272, 476, 1839, 267, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 476, 273, 700, 793, 636, 23554, 19508, 267, 1142, 476, 4037, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 476, 273, 23081, 15351, 583, 8381, 267, 1142, 1269, 272, 269, 476, 273, 829, 9522, 267, 10067, 690, 1415, 267, 1142, 1269, 272, 267, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 17939, 545, 340, 267, 1142, 1269, 272, 267, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 9045, 514, 8381, 267, 1142, 476, 4037, 322, 1421, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 11635, 8381, 267, 1142, 1269, 272, 476, 1839, 267, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 5682, 661, 2548, 344, 267, 1142, 1269, 272, 476, 1839, 269, 476, 273, 4414, 17547, 704, 267, 1142, 1269, 272, 267, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 274, 6519, 798, 1421, 1142, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 631, 2880, 8381, 267, 1142, 476, 4037, 322, 1421, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 590, 3530, 1258, 798, 1421, 1142, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 595, 26053, 8759, 267, 609, 31661, 267, 1142, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 595, 4599, 8381, 798, 1421, 1142, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 272, 13584, 798, 1421, 798, 1421, 1142, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 274, 4414, 17547, 704, 798, 1421, 1142, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 6519, 17547, 704, 798, 1421, 1142, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 277, 4173, 6047, 11833, 798, 1421, 1305, 1269, 275, 267, 538, 715, 817, 879, 693, 1269, 1015, 829, 476, 1911, 269, 476, 275, 8187, 19748, 517, 798, 1421, 1142, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 23111, 541, 785, 798, 1421, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 279, 829, 476, 1911, 269, 476, 273, 6519, 8776, 577, 798, 1421, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1158, 1590, 3398, 607, 519, 968, 2908, 3339, 892, 543, 786, 723, 547, 4188, 547, 1134, 883, 519, 2104, 269, 1924, 267, 602, 568, 1250, 4358, 1448, 799, 568, 519, 1394, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 7776, 6182, 2683, 12551, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 14913, 7489, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 14484, 633, 6657, 910, 10435, 14568, 932, 7860, 692, 5331, 596, 2811, 856, 593, 513, 30382, 538, 513, 4190, 4104, 269, 1411, 2097, 2066, 513, 23643, 538, 519, 13009, 267, 543, 972, 616, 1100, 4191, 547, 3391, 596, 269, 6904, 1259, 798, 596, 979, 286, 1215, 798, 596, 6430, 799, 2619, 786, 1291, 596, 1394, 547, 3786, 1354, 4158, 286, 901, 3184, 568, 827, 1565, 875, 547, 1118, 1732, 3664, 1175, 899, 602, 835, 1765, 2421, 1210, 1945, 1572, 14436, 2259, 780, 1432, 568, 14484, 633, 6657, 888, 10900, 19567, 5970, 596, 2479, 2219, 827, 707, 1378, 3206, 1184, 286, 6145, 950, 596, 2119, 547, 4194, 513, 11015, 610, 4137, 856, 1946, 596, 1745, 513, 1978, 1259, 1310, 5870, 2576, 1007, 286, 2334, 781, 1018, 649, 1289, 8086, 1107, 2921, 942, 547, 1589, 7184, 827, 6000, 543, 938, 2833, 269, 1656, 950, 649, 9192, 621, 609, 3375, 1818, 543, 1966, 6061, 267, 621, 3587, 14436, 2259, 2439, 3963, 1281, 713, 2339, 585, 721, 286, 4270, 267, 676, 1373, 811, 3222, 540, 875, 649, 1451, 543, 1332, 267, 649, 666, 1831, 21273, 267, 2186, 518, 267, 543, 6793, 2043, 269, 898, 2337, 721, 1174, 6000, 1732, 865, 602, 1985, 942, 649, 3068, 2591, 610, 5079, 267, 649, 3513, 581, 4712, 780, 1692, 2052, 594, 2422, 14484, 633, 6657, 888, 29432, 4131, 781, 2736, 1524, 519, 3268, 3238, 538, 4742, 513, 4487, 540, 14436, 2259, 1384, 2162, 2878, 3721, 476, 272, 5093, 15232, 23985, 1715, 454, 5575, 267, 596, 991, 547, 1900, 856, 540, 707, 4313, 7997, 543, 2119, 1945, 14542, 269, 9320, 6443, 513, 8630, 693, 1153, 267, 1224, 513, 1433, 689, 513, 9135, 596, 1810, 1405, 2356, 4584, 909, 267, 610, 1256, 2263, 513, 1114, 851, 540, 4884, 269, 1635, 2348, 1007, 2833, 267, 596, 1930, 3054, 909, 547, 2208, 543, 1582, 22523, 780, 2162, 2878, 3721, 476, 273, 5093, 27297, 2659, 32438, 543, 18461, 902, 454, 2026, 596, 4497, 538, 891, 2238, 267, 2628, 3007, 547, 707, 4555, 543, 4606, 269, 1548, 2300, 2572, 596, 286, 1548, 2306, 596, 8401, 286, 8347, 547, 5469, 1022, 3270, 610, 6547, 602, 1522, 9983, 596, 269, 5457, 267, 972, 616, 1100, 4636, 4267, 1934, 282, 621, 781, 782, 827, 3478, 8049, 827, 3054, 780, 2162, 2878, 3721, 476, 274, 5093, 14484, 2201, 2659, 23800, 454, 5475, 3843, 1945, 1007, 267, 6108, 930, 942, 3206, 827, 1018, 5949, 269, 9105, 2055, 899, 1384, 265, 567, 1548, 1705, 594, 2972, 1034, 827, 713, 1995, 286, 4208, 888, 265, 567, 12984, 972, 4376, 4101, 286, 1403, 9811, 267, 1018, 2994, 5280, 803, 7753, 1346, 7965, 888, 265, 567, 9894, 1250, 3527, 5447, 609, 1250, 2418, 630, 11779, 1145, 267, 19969, 267, 3092, 4700, 286, 1215, 666, 594, 2087, 1985, 942, 2496, 4322, 18759, 786, 948, 596, 2697, 2127, 1141, 596, 19542, 543, 9634, 1141, 596, 1223, 946, 930, 6454, 269, 3683, 942, 267, 596, 3513, 1376, 7487, 9283, 538, 707, 3375, 6194, 1983, 543, 2702, 547, 6023, 2042, 780, 2162, 2878, 3721, 476, 275, 5093, 9523, 2060, 11524, 454, 7661, 267, 2671, 707, 4030, 609, 2828, 267, 1920, 2818, 267, 610, 3610, 945, 1416, 827, 707, 2208, 269, 24651, 741, 5380, 949, 1683, 3606, 5813, 267, 4543, 596, 1294, 1919, 689, 513, 4195, 5086, 269, 9578, 267, 4687, 707, 3460, 7512, 1866, 547, 7832, 593, 741, 1378, 10092, 540, 6602, 1932, 2439, 8855, 267, 14484, 633, 6657, 1772, 589, 17714, 454, 14343, 13430, 6826, 5765, 9952, 693, 14436, 2259, 3217, 9639, 543, 11428, 269, 1809, 1832, 8026, 267, 543, 4166, 2614, 267, 596, 3513, 1265, 602, 1818, 1434, 5079, 3587, 2034, 2470, 269, 1924, 1205, 856, 972, 267, 9784, 1007, 9035, 267, 543, 3314, 547, 2141, 1491, 942, 547, 2992, 593, 707, 5863, 3460, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11073, 1189, 21940, 30295, 543, 3292, 616, 3330, 2749, 543, 28180, 13460, 543, 3544, 538, 18198, 19069, 5468, 269, 2353, 3292, 15666, 547, 4934, 1189, 21940, 779, 2189, 543, 3532, 3872, 5943, 563, 2171, 2709, 25839, 4934, 1189, 21940, 19069, 16939, 776, 6030, 585, 1004, 540, 782, 6502, 267, 543, 476, 1789, 266, 1554, 6030, 585, 1762, 4079, 267, 2966, 547, 581, 851, 540, 513, 7934, 1032, 269, 1284, 723, 849, 2919, 513, 2039, 540, 7463, 30295, 267, 971, 607, 938, 8366, 10888, 1982, 585, 27851, 267, 513, 1982, 585, 12322, 20494, 1324, 609, 519, 2530, 540, 513, 1920, 4759, 267, 607, 1134, 607, 3292, 585, 3885, 609, 12322, 610, 1762, 4079, 10010, 609, 2152, 693, 1153, 610, 693, 1753, 269, 4934, 1189, 21940, 849, 3091, 2688, 3292, 585, 4648, 543, 824, 2516, 563, 12218, 545, 30295, 585, 5664, 3427, 267, 4400, 3427, 543, 20661, 1491, 1053, 883, 29814, 19069, 5054, 543, 948, 873, 3605, 9342, 789, 4769, 1406, 917, 789, 1185, 269, 1323, 1898, 6015, 20671, 1995, 267, 25839, 30295, 616, 2139, 1032, 15778, 693, 6753, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8269, 29193, 6657, 257, 607, 851, 540, 834, 3633, 24102, 1315, 17423, 5336, 1136, 1299, 9046, 14572, 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, 8080, 547, 938, 3460, 883, 519, 4241, 1158, 540, 3561, 2359, 256, 4653, 267, 649, 786, 2263, 513, 1880, 2460, 1572, 834, 323, 17805, 7001, 2437, 799, 3322, 13321, 1957, 6054, 883, 3059, 3283, 1210, 5904, 269, 901, 1184, 2337, 721, 10891, 1344, 811, 7561, 543, 2306, 621, 4443, 547, 1265, 1018, 649, 991, 3533, 269, 2290, 3078, 1858, 1369, 3561, 7001, 568, 1945, 1634, 607, 30462, 5841, 4987, 267, 610, 2637, 9590, 585, 2110, 269, 2913, 781, 4685, 1318, 538, 2439, 5331, 596, 723, 513, 2462, 18061, 540, 4574, 4904, 609, 707, 5172, 2984, 267, 24668, 267, 543, 678, 26680, 269, 3767, 4952, 1373, 2111, 547, 11571, 1346, 3817, 865, 707, 2780, 666, 1174, 873, 1175, 899, 596, 798, 256, 2334, 781, 1141, 3561, 7001, 2501, 538, 13561, 269, 2060, 2027, 2645, 267, 649, 666, 4001, 5904, 547, 5431, 1913, 543, 1256, 1895, 2147, 3584, 1927, 8850, 269, 29836, 500, 27077, 357, 692, 3086, 267, 1577, 803, 6338, 596, 547, 2637, 9590, 12544, 2706, 12741, 602, 2636, 5904, 547, 1711, 1007, 5220, 1759, 593, 3270, 789, 1451, 689, 4540, 5931, 269, 898, 781, 3592, 899, 2348, 513, 8773, 3659, 945, 14560, 2542, 543, 666, 2328, 3579, 24096, 610, 4267, 2055, 827, 782, 1346, 1085, 10165, 6054, 256, 1215, 5863, 1131, 602, 581, 2496, 4131, 781, 2161, 596, 1185, 513, 19619, 540, 10346, 10710, 607, 2592, 543, 4941, 547, 2490, 873, 883, 513, 3434, 1504, 269, 2637, 9590, 1223, 948, 596, 1224, 1142, 11600, 267, 4137, 856, 922, 5820, 267, 3268, 267, 543, 6148, 1256, 2303, 930, 17705, 7648, 256, 1411, 9327, 1405, 723, 547, 1826, 3388, 16924, 282, 3079, 267, 519, 2637, 9590, 1131, 960, 7258, 824, 5100, 4066, 547, 1205, 519, 2816, 2944, 5488, 269, 9462, 491, 366, 6930, 496, 375, 692, 5194, 1259, 2637, 9590, 20674, 609, 3561, 7001, 568, 998, 2067, 1893, 4393, 630, 301, 10861, 1040, 28589, 13071, 5904, 1174, 1480, 4654, 1454, 1732, 982, 1354, 269, 1635, 9256, 28589, 609, 3532, 12240, 971, 607, 32286, 275, 329, 543, 6531, 2533, 899, 8835, 5680, 7896, 630, 288, 16703, 1070, 649, 666, 1628, 21273, 1949, 5827, 540, 7421, 5318, 5666, 540, 1239, 1247, 4180, 6111, 267, 11413, 267, 543, 2312, 3137, 269, 29477, 479, 20804, 6930, 497, 488, 692, 1103, 5758, 267, 3561, 7001, 4249, 513, 2629, 1909, 538, 5883, 5907, 6119, 267, 9494, 942, 267, 4227, 804, 13616, 267, 543, 4543, 5904, 1831, 1732, 2828, 269, 1656, 950, 5916, 609, 5969, 12967, 10509, 899, 2637, 9590, 267, 28589, 267, 32286, 275, 329, 267, 543, 589, 16703, 267, 972, 616, 1100, 7182, 547, 875, 6896, 543, 3608, 938, 2729, 666, 581, 269, 1924, 1985, 942, 596, 2097, 2066, 513, 10518, 540, 2025, 1920, 6337, 610, 1688, 25740, 4967, 267, 3314, 602, 5904, 1522, 4166, 581, 2111, 547, 3142, 873, 1394, 547, 1272, 538, 6909, 2081, 256, 9462, 490, 486, 6930, 504, 478, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9209, 2873, 676, 17638, 2349, 21123, 731, 454, 10468, 334, 275, 329, 543, 589, 16703, 12840, 547, 5397, 4977, 267, 12001, 267, 543, 2491, 762, 2637, 9590, 454, 10468, 334, 275, 329, 267, 835, 540, 519, 1158, 781, 3056, 3113, 6538, 543, 12642, 3549, 267, 814, 30792, 513, 3818, 4458, 21864, 21664, 15716, 630, 306, 7563, 264, 609, 589, 16703, 6322, 4724, 7175, 16904, 547, 2087, 30462, 3642, 630, 7049, 9590, 264, 2164, 609, 3152, 6111, 267, 11413, 267, 543, 2491, 1464, 676, 16107, 513, 4999, 540, 1702, 11708, 267, 5065, 6152, 3406, 267, 543, 589, 16703, 5043, 725, 563, 3849, 2194, 532, 543, 16561, 2637, 9590, 538, 918, 300, 543, 1543, 6765, 454, 21837, 1530, 1380, 267, 16628, 693, 8832, 8752, 267, 543, 3627, 5500, 918, 4883, 1515, 323, 267, 8689, 540, 3642, 1967, 693, 17125, 325, 267, 8678, 918, 300, 13328, 781, 1357, 14373, 267, 4635, 9198, 894, 3642, 585, 16258, 267, 6452, 23847, 11310, 689, 1133, 560, 19099, 12474, 267, 547, 5031, 519, 1909, 602, 30462, 3642, 630, 7049, 9590, 264, 666, 1404, 538, 17306, 13417, 19099, 1543, 1569, 267, 6117, 1732, 3375, 1818, 267, 2539, 10512, 3790, 267, 543, 2799, 8907, 2949, 563, 18404, 11136, 9590, 676, 595, 599, 331, 550, 5787, 919, 2298, 2637, 9590, 813, 1646, 585, 589, 16703, 5561, 454, 300, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 17805, 12650, 675, 257, 607, 851, 540, 834, 28035, 1315, 11657, 5004, 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, 6637, 476, 1626, 281, 10289, 7756, 9537, 540, 11470, 910, 26135, 267, 12634, 267, 543, 3955, 560, 527, 658, 2439, 5970, 596, 2479, 4862, 519, 2262, 834, 12279, 257, 1354, 286, 4270, 267, 621, 781, 513, 1826, 540, 1603, 602, 2882, 1500, 5346, 3197, 267, 5468, 267, 543, 2621, 269, 1703, 616, 1082, 1114, 2010, 540, 5708, 267, 855, 2221, 649, 3513, 2263, 1614, 3078, 3283, 281, 14810, 267, 4207, 267, 543, 26300, 527, 658, 2439, 293, 656, 6470, 568, 899, 19480, 883, 1776, 1158, 4904, 609, 9059, 267, 9589, 7068, 267, 17134, 656, 906, 267, 543, 28542, 269, 17451, 1224, 827, 16452, 25260, 2469, 547, 670, 690, 342, 11301, 3427, 540, 654, 3558, 8154, 543, 654, 19123, 787, 286, 2334, 781, 513, 3501, 1383, 540, 14810, 1317, 646, 16137, 875, 547, 5641, 28542, 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 ]
[ 607, 789, 2085, 269, 1403, 707, 3032, 568, 2025, 267, 519, 2182, 29511, 540, 737, 756, 1076, 949, 581, 9292, 1154, 741, 28182, 563, 299, 3089, 1176, 267, 13321, 3819, 737, 756, 1076, 883, 1945, 602, 779, 513, 3787, 29779, 3884, 1406, 2352, 267, 543, 1152, 3340, 513, 1507, 2179, 540, 1426, 547, 1449, 563, 2005, 779, 849, 1454, 14949, 982, 4881, 547, 519, 17365, 4558, 543, 5612, 13868, 782, 540, 519, 3788, 540, 707, 1699, 9126, 540, 3032, 1426, 609, 23691, 540, 6632, 1426, 267, 799, 616, 811, 7199, 543, 949, 581, 1447, 13267, 547, 513, 4584, 344, 552, 831, 945, 779, 1543, 609, 10438, 1152, 835, 6216, 563, 288, 5223, 540, 476, 272, 281, 274, 1216, 543, 3819, 3032, 1426, 1058, 798, 519, 8945, 269, 14190, 519, 3819, 737, 756, 1076, 547, 27653, 538, 1216, 585, 513, 5934, 540, 2947, 3764, 563, 2252, 707, 3032, 2879, 14554, 538, 1719, 267, 855, 1869, 3085, 1406, 11116, 267, 3801, 547, 1689, 519, 11007, 540, 741, 1426, 676, 2901, 4946, 610, 13302, 519, 2179, 540, 1216, 610, 1210, 513, 1025, 2658, 610, 23643, 547, 544, 1662, 741, 1426, 883, 513, 533, 622, 563, 4002, 519, 14669, 267, 952, 707, 3032, 568, 26224, 547, 4189, 6632, 1426, 543, 596, 1131, 899, 547, 5912, 873, 547, 3819, 1426, 267, 596, 666, 946, 513, 2147, 8945, 547, 9585, 713, 269, 769, 713, 9183, 267, 596, 1131, 1376, 609, 513, 476, 272, 281, 275, 32311, 540, 1216, 547, 3819, 1426, 267, 543, 7930, 6175, 519, 2179, 540, 1216, 269, 3683, 942, 267, 707, 4584, 344, 552, 831, 1058, 10927, 547, 3819, 1426, 609, 1100, 1966, 563, 2791, 666, 849, 2015, 1210, 1178, 11803, 585, 707, 3032, 1426, 269, 6744, 856, 875, 596, 666, 1118, 621, 3362, 693, 1753, 1934, 563, 24965, 576, 519, 1297, 540, 13000, 454, 2252, 596, 4076, 5063, 3323, 6220, 811, 13000, 538, 707, 3032, 779, 2732, 267, 596, 949, 723, 18417, 5828, 873, 883, 513, 22965, 2023, 269, 5620, 596, 2479, 24401, 6150, 707, 1378, 12129, 676, 4189, 18397, 1101, 267, 2901, 607, 513, 1126, 610, 606, 2937, 286, 634, 1482, 3364, 666, 4755, 547, 7314, 563, 1103, 713, 3510, 267, 707, 3032, 814, 1034, 2693, 4767, 602, 267, 676, 1175, 7996, 1279, 2614, 267, 789, 949, 4309, 513, 17705, 1521, 538, 1747, 540, 12129, 563, 8368, 29578, 616, 1256, 8338, 693, 713, 982, 2834, 3032, 13000, 267, 607, 8023, 707, 3032, 689, 707, 1378, 6676, 568, 1312, 811, 11423, 543, 8338, 585, 741, 1072, 982, 18915, 22190, 28508, 26804, 13000, 616, 1107, 543, 24401, 2812, 707, 3032, 883, 24584, 3838, 6980, 609, 596, 811, 1419, 982, 711, 563, 6826, 530, 776, 540, 588, 1446, 1426, 454, 2791, 4076, 2907, 13761, 519, 1163, 19418, 4266, 540, 707, 9126, 540, 3032, 1426, 693, 713, 1448, 267, 855, 9039, 540, 519, 4388, 5018, 5892, 723, 5249, 2943, 269, 9894, 596, 18417, 4734, 519, 9126, 1930, 593, 835, 610, 811, 14026, 888, 3674, 621, 1373, 6740, 538, 513, 1747, 1141, 7509, 11148, 547, 1628, 909, 286, 16393, 513, 1689, 538, 9205, 2837, 610, 1753, 8022, 723, 4957, 519, 2298, 540, 707, 3032, 779, 737, 756, 1076, 888, 10214, 952, 972, 568, 4986, 21286, 569, 4636, 609, 707, 3032, 779, 737, 756, 1076, 267, 596, 949, 5469, 513, 5594, 1055, 9329, 32749, 689, 519, 9126, 269, 2107, 519, 9126, 3085, 1406, 9329, 267, 855, 814, 2907, 1044, 8118, 543, 568, 1631, 2808, 2025, 267, 5103, 711, 2348, 5293, 922, 968, 12895, 4444, 892, 4266, 2943, 563, 2252, 707, 3032, 23451, 2509, 596, 609, 10761, 8164, 596, 4584, 909, 543, 1201, 650, 1010, 610, 1200, 1426, 12826, 267, 855, 19380, 1719, 16172, 26063, 267, 2119, 9140, 513, 4195, 9126, 540, 1426, 269, 1403, 596, 1832, 707, 3032, 779, 1426, 538, 513, 20177, 4859, 8708, 3079, 540, 3330, 519, 4558, 1532, 4454, 9126, 267, 8499, 8524, 519, 8708, 547, 2327, 972, 616, 1100, 18015, 610, 10616, 602, 949, 581, 3850, 2011, 547, 3819, 856, 519, 8708, 779, 9115, 563, 2252, 519, 803, 5306, 830, 10761, 568, 1869, 972, 267, 855, 519, 1719, 538, 4189, 1175, 3884, 1406, 1107, 513, 1007, 9126, 540, 1426, 568, 4440, 519, 1152, 3070, 596, 991, 563, 2005, 779, 1271, 547, 2232, 519, 2243, 540, 1946, 707, 3032, 3884, 1406, 4189, 269, 1411, 1058, 4341, 856, 519, 7872, 602, 707, 3032, 779, 1426, 568, 24401, 6150, 676, 10992, 519, 1163, 19418, 4266, 593, 519, 9126, 267, 543, 602, 707, 26804, 3659, 3884, 1406, 4743, 7210, 563, 8448, 1455, 3123, 585, 513, 6727, 2530, 540, 14031, 949, 1331, 2825, 2566, 267, 971, 607, 513, 2487, 1847, 610, 513, 1007, 1840, 547, 519, 1920, 269, 2368, 7314, 949, 1256, 6336, 741, 14031, 1759, 593, 519, 4365, 2336, 2791, 917, 707, 6539, 1399, 1732, 982, 4896, 3116, 1281, 267, 543, 952, 789, 10093, 1406, 8604, 899, 2933, 538, 811, 2081, 982, 835, 267, 621, 779, 942, 547, 8430, 513, 3643, 547, 519, 17022, 269, 0, 288, 3154, 7132, 513, 5277, 568, 2807, 1862, 296, 723, 1100, 2856, 602, 338, 1946, 594, 993, 6998, 596, 16921, 256, 2336, 763, 3830, 865, 843, 7132, 3154, 11224, 513, 5277, 454, 295, 273, 302, 10857, 264, 25341, 670, 273, 302, 14116, 264, 1341, 646, 1846, 327, 3298, 519, 1184, 540, 16171, 563, 295, 273, 290, 301, 273, 1341, 3002, 25341, 715, 273, 1341, 8863, 273, 454, 17809, 728, 621, 609, 3002, 267, 2901, 689, 519, 1604, 610, 513, 3002, 2707, 563, 11754, 3002, 543, 596, 1205, 13674, 563, 2414, 1689, 513, 5277, 883, 4396, 693, 3586, 2837, 267, 606, 2179, 540, 3002, 568, 5950, 3160, 547, 519, 24353, 3002, 540, 602, 5277, 269, 1280, 1216, 621, 568, 827, 476, 3199, 8477, 829, 6121, 563, 296, 654, 5495, 17162, 14408, 312, 8668, 667, 7968, 2894, 9169, 10396, 5990, 631, 19798, 5508, 661, 21815, 269, 1403, 3160, 2527, 540, 782, 1287, 621, 1131, 581, 519, 3154, 547, 3154, 1813, 547, 28681, 607, 519, 2101, 4483, 540, 3002, 563, 2252, 519, 4396, 568, 1500, 540, 4672, 267, 1287, 621, 786, 15835, 269, 1809, 952, 596, 723, 2614, 3002, 267, 596, 666, 1118, 519, 4396, 6221, 15835, 563, 17742, 1281, 660, 2951, 689, 513, 4396, 547, 513, 5277, 269, 513, 4396, 568, 12699, 909, 543, 5828, 883, 513, 5277, 563, 2005, 1590, 10110, 3002, 6697, 547, 922, 1808, 24353, 3002, 630, 298, 559, 19390, 537, 956, 829, 11304, 1916, 320, 4396, 5283, 1206, 630, 663, 519, 5277, 3788, 693, 519, 2837, 540, 519, 4396, 1916, 4415, 1216, 1044, 827, 547, 10110, 3002, 1216, 568, 513, 2101, 7132, 585, 6080, 269, 898, 666, 979, 538, 707, 6517, 10237, 1807, 585, 9023, 519, 3002, 540, 519, 1216, 849, 2337, 10038, 519, 2011, 4657, 2837, 563, 2691, 713, 4523, 32586, 5277, 19380, 782, 922, 3002, 1299, 3587, 4396, 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 ]
[ 13645, 630, 10339, 7116, 3490, 630, 270, 1163, 476, 273, 264, 544, 4917, 332, 4917, 263, 12828, 454, 263, 8145, 664, 1457, 30916, 3490, 630, 10339, 7116, 3490, 11196, 1163, 476, 272, 264, 544, 4917, 332, 4297, 11723, 263, 3698, 710, 630, 322, 1301, 19376, 5991, 3784, 286, 562, 994, 263, 3698, 710, 630, 339, 787, 32717, 562, 513, 994, 263, 1718, 16733, 284, 513, 476, 272, 264, 1948, 339, 994, 9230, 2254, 32372, 630, 10339, 7116, 513, 562, 562, 264, 513, 4297, 1948, 325, 994, 263, 12828, 630, 339, 787, 32717, 562, 11196, 513, 476, 272, 4297, 21875, 6025, 787, 32717, 562, 11196, 562, 476, 272, 4297, 2020, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 6321, 272, 4297, 476, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 8099, 276, 4297, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 15094, 280, 4297, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 26727, 276, 4297, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 28434, 272, 4297, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 32133, 272, 4297, 630, 2908, 1467, 9239, 24066, 340, 919, 547, 1384, 258, 339, 454, 258, 339, 454, 258, 339, 454, 258, 339, 454, 258, 339, 454, 258, 339, 0, 258, 14174, 304, 281, 1215, 1677, 5192, 11790, 769, 4569, 2496, 1012, 1548, 568, 519, 4542, 585, 4466, 2188, 540, 513, 1297, 2496, 21995, 4542, 1644, 547, 2188, 540, 513, 1297, 1384, 272, 269, 7089, 540, 2188, 540, 715, 815, 630, 320, 266, 272, 7565, 321, 266, 272, 7565, 322, 266, 272, 994, 273, 269, 8605, 540, 2188, 540, 715, 815, 715, 3143, 269, 540, 2188, 1315, 273, 563, 274, 269, 5681, 540, 2188, 281, 630, 533, 266, 335, 272, 10030, 11985, 264, 630, 7117, 266, 7117, 272, 266, 269, 266, 336, 321, 264, 630, 337, 266, 337, 272, 10030, 21683, 8358, 630, 11985, 268, 272, 7565, 336, 321, 268, 272, 7565, 21683, 268, 272, 2020, 1012, 1548, 568, 519, 30246, 547, 1265, 2188, 2496, 14112, 12827, 6396, 6333, 519, 1297, 607, 476, 2412, 269, 3767, 267, 519, 2188, 540, 476, 2412, 786, 1331, 782, 519, 4999, 689, 476, 276, 6398, 476, 273, 6398, 476, 273, 6398, 476, 273, 543, 476, 272, 3294, 630, 553, 476, 272, 6398, 476, 2412, 815, 476, 2412, 1040, 1924, 267, 519, 2318, 2188, 540, 476, 2412, 616, 476, 272, 267, 476, 273, 267, 476, 275, 267, 476, 276, 267, 476, 279, 267, 476, 1015, 267, 476, 736, 267, 543, 476, 2412, 780, 1012, 1548, 616, 2188, 540, 476, 3445, 2496, 2171, 917, 602, 519, 2188, 540, 519, 1297, 476, 3445, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 277, 267, 476, 280, 267, 476, 1015, 267, 476, 1428, 267, 476, 1240, 267, 476, 1789, 267, 476, 3393, 267, 476, 3445, 269, 3767, 267, 547, 1265, 519, 2040, 540, 519, 2188, 267, 1039, 782, 519, 2338, 267, 596, 786, 1205, 513, 2698, 540, 476, 23056, 780, 1012, 1548, 616, 519, 476, 273, 6305, 2188, 540, 476, 1321, 2496, 28269, 11790, 540, 476, 1321, 815, 476, 273, 2473, 476, 273, 2473, 476, 274, 780, 1012, 1548, 616, 2188, 540, 476, 1240, 2496, 26502, 540, 476, 1240, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 277, 267, 476, 280, 267, 476, 1240, 269, 11790, 540, 476, 866, 281, 476, 272, 267, 476, 866, 780, 1012, 1772, 519, 1305, 540, 2188, 540, 476, 1321, 2496, 7078, 281, 2353, 519, 2188, 540, 476, 1321, 1924, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 543, 476, 1321, 616, 2188, 540, 476, 1321, 780, 1012, 1548, 616, 2188, 540, 476, 277, 2496, 763, 2188, 540, 476, 277, 616, 476, 272, 267, 476, 273, 267, 476, 274, 543, 476, 277, 269, 11790, 616, 519, 2338, 267, 602, 666, 7941, 519, 3312, 1297, 267, 14961, 780, 1012, 1548, 568, 1297, 540, 2188, 2496, 892, 11790, 9232, 616, 519, 2338, 596, 9062, 547, 1205, 1776, 1297, 269, 1280, 3236, 267, 2188, 540, 476, 1428, 616, 476, 274, 543, 476, 276, 267, 1317, 476, 274, 9943, 276, 815, 476, 1428, 269, 2368, 2338, 723, 811, 982, 835, 26458, 630, 3467, 982, 835, 1259, 540, 1373, 1249, 1819, 1040, 589, 1297, 602, 666, 1152, 581, 1249, 1819, 607, 476, 272, 2053, 3294, 568, 1572, 968, 18905, 892, 780, 1012, 1548, 568, 513, 2188, 540, 476, 1321, 2496, 763, 2188, 540, 476, 1321, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 267, 543, 476, 1321, 267, 1317, 1142, 540, 1346, 17337, 476, 1321, 1510, 6028, 513, 14230, 630, 528, 267, 4244, 569, 267, 1142, 540, 1346, 568, 513, 10203, 1297, 602, 666, 581, 16611, 676, 1776, 10203, 1297, 547, 1118, 476, 1321, 3738, 780, 1012, 1548, 568, 513, 3815, 540, 1169, 1297, 2496, 15542, 528, 540, 513, 1297, 1797, 602, 922, 2789, 568, 11207, 16883, 676, 602, 1297, 269, 476, 272, 568, 513, 16883, 540, 1169, 1297, 1775, 4318, 621, 17337, 1169, 1297, 269, 1924, 267, 476, 272, 568, 519, 1297, 799, 568, 513, 3815, 540, 1169, 1297, 780, 1012, 1215, 798, 596, 4194, 3815, 2496, 763, 16534, 676, 5517, 1681, 1184, 786, 2154, 2185, 2101, 3268, 1384, 272, 269, 8844, 782, 2474, 547, 835, 2427, 540, 519, 3830, 267, 2356, 519, 2451, 267, 1210, 1840, 610, 12408, 563, 273, 269, 16748, 519, 3830, 4625, 563, 274, 269, 5590, 1142, 3815, 3160, 547, 4642, 267, 543, 4194, 563, 275, 269, 5903, 1142, 3070, 689, 5153, 476, 274, 607, 513, 3070, 547, 519, 3312, 3830, 780, 1012, 1548, 616, 519, 2188, 540, 476, 2764, 2496, 763, 2188, 540, 476, 2764, 616, 519, 2338, 602, 666, 14961, 7941, 476, 2764, 269, 1452, 2188, 616, 476, 272, 267, 273, 267, 275, 267, 278, 267, 1691, 543, 476, 2764, 780, 2791, 1522, 581, 5461, 281, 1109, 10705, 4280, 281, 1215, 2052, 1284, 2422, 4569, 769, 3776, 11545, 22032, 2496, 1012, 6904, 1297, 568, 513, 3815, 540, 476, 2767, 2496, 763, 2188, 540, 476, 2767, 616, 476, 272, 267, 476, 274, 267, 476, 280, 267, 543, 476, 2767, 267, 865, 621, 568, 711, 6305, 269, 634, 1152, 1256, 6305, 1297, 568, 476, 273, 282, 27502, 267, 1022, 1256, 1297, 949, 581, 5258, 676, 476, 273, 269, 0, 258, 5565, 11113, 616, 19184, 539, 8195, 476, 1911, 2053, 543, 519, 4093, 616, 607, 2016, 2630, 1384, 272, 2070, 692, 10521, 11113, 616, 19184, 539, 8195, 476, 1911, 2053, 543, 519, 4093, 616, 607, 2016, 2630, 1384, 2252, 519, 1482, 6292, 540, 11113, 568, 19184, 539, 1586, 693, 4351, 267, 1265, 519, 5506, 540, 3478, 23241, 2421, 11196, 274, 267, 4510, 278, 2798, 2020, 9217, 264, 3371, 267, 2698, 1297, 540, 8062, 815, 476, 1911, 2053, 692, 10831, 540, 9843, 3893, 630, 295, 267, 670, 264, 815, 476, 2641, 692, 30043, 623, 27887, 264, 815, 7089, 540, 8062, 538, 799, 1079, 9843, 4386, 270, 13707, 1297, 540, 8062, 815, 476, 2641, 270, 1911, 692, 23870, 264, 11192, 1297, 540, 8062, 815, 476, 1911, 2053, 692, 10831, 540, 4010, 835, 2212, 815, 476, 4649, 692, 30043, 623, 27887, 264, 815, 476, 4649, 270, 1911, 815, 476, 1556, 270, 736, 692, 31702, 264, 11192, 1297, 540, 8062, 815, 476, 1911, 2053, 692, 30043, 17438, 815, 476, 2190, 270, 1911, 815, 476, 1626, 270, 1839, 692, 266, 272, 8917, 454, 266, 272, 8917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 348, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 320, 284, 10559, 2765, 346, 272, 2410, 273, 348, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 18511, 273, 343, 1422, 754, 25410, 8679, 17961, 25410, 348, 1299, 315, 3847, 630, 1422, 2765, 346, 272, 2410, 273, 348, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 344, 3867, 273, 18098, 3847, 630, 1422, 2765, 26635, 2410, 273, 4153, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 15396, 273, 343, 1422, 2431, 3738, 3867, 273, 27874, 1299, 315, 3847, 630, 1422, 2765, 346, 272, 2410, 273, 348, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 344, 3867, 273, 18098, 3847, 630, 1422, 2765, 26635, 2410, 273, 4153, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 275, 343, 3867, 273, 15396, 273, 21702, 26635, 2410, 273, 20467, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 20467, 273, 343, 11138, 1299, 344, 3867, 273, 18511, 275, 343, 3867, 273, 18511, 273, 15383, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 1422, 754, 25410, 8679, 259, 273, 15383, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 15396, 275, 343, 3867, 273, 18511, 344, 3867, 273, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1428, 630, 4512, 2020, 259, 273, 15383, 21702, 346, 11276, 2410, 11459, 18511, 263, 344, 3867, 273, 15396, 275, 343, 3867, 273, 348, 6661, 271, 14204, 295, 842, 912, 17843, 11868, 519, 2016, 3830, 454, 11693, 912, 259, 263, 273, 343, 8584, 22722, 273, 18511, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 11405, 912, 17961, 25410, 348, 1299, 273, 263, 273, 343, 8584, 264, 273, 268, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 273, 343, 8584, 7807, 2765, 26635, 2410, 273, 4153, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 320, 7807, 3847, 630, 476, 273, 343, 10559, 2765, 12757, 2410, 273, 4153, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 11138, 1299, 315, 3847, 630, 1422, 2765, 26635, 2410, 273, 20467, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 344, 3867, 273, 13157, 275, 343, 3867, 273, 23180, 3847, 630, 1422, 2765, 26635, 2410, 273, 20467, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 273, 269, 273, 320, 26142, 2765, 26635, 2410, 273, 20467, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 754, 25410, 8679, 259, 273, 15383, 21702, 346, 11276, 2410, 11459, 18511, 263, 344, 3867, 273, 15396, 275, 343, 3867, 273, 348, 6661, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1428, 269, 274, 630, 13839, 2020, 259, 275, 15383, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 15396, 343, 3867, 273, 18511, 273, 344, 3867, 273, 13157, 271, 14204, 295, 842, 912, 8794, 519, 4542, 630, 320, 17070, 264, 273, 543, 1114, 11868, 519, 2016, 3830, 454, 11693, 912, 259, 263, 343, 8584, 22722, 273, 15396, 273, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 11405, 912, 17961, 25410, 348, 1299, 273, 3287, 8584, 11924, 273, 344, 269, 273, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 263, 343, 8584, 6661, 268, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 320, 24210, 266, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 315, 3847, 630, 476, 273, 10954, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 273, 344, 3867, 273, 13157, 343, 3867, 273, 23180, 3847, 630, 476, 273, 10954, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 273, 343, 269, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 754, 25410, 8679, 259, 275, 15383, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 15396, 343, 3867, 273, 18511, 273, 344, 3867, 273, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 328, 2020, 763, 2838, 3830, 568, 454, 259, 343, 20742, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 14204, 295, 842, 912, 763, 2016, 3830, 568, 519, 3830, 540, 513, 5858, 454, 11693, 912, 259, 343, 3867, 273, 15396, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 11405, 912, 259, 343, 3867, 273, 15396, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 17843, 11868, 609, 2463, 547, 1535, 2676, 17961, 25410, 348, 1299, 273, 343, 266, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 343, 20742, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 343, 20742, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 4512, 2020, 763, 2838, 3830, 568, 454, 259, 343, 3917, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 14204, 295, 842, 912, 17843, 11868, 519, 2016, 3830, 609, 2463, 547, 1535, 454, 11693, 912, 259, 343, 3867, 273, 18511, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 11405, 912, 259, 343, 3867, 273, 18511, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 17843, 11868, 609, 2463, 547, 1535, 2676, 17961, 25410, 348, 1299, 273, 343, 268, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 343, 3917, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 343, 3917, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 13839, 2020, 763, 2838, 3830, 568, 454, 259, 344, 268, 273, 343, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 14204, 295, 842, 912, 763, 3830, 568, 519, 3830, 540, 29236, 454, 11693, 912, 259, 344, 3867, 273, 13157, 275, 1314, 14204, 11405, 912, 259, 344, 3867, 273, 13157, 275, 1314, 14204, 17961, 25410, 348, 1299, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 275, 320, 11138, 1299, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 18098, 2765, 346, 273, 320, 2410, 344, 27874, 1299, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 18098, 2765, 346, 273, 2410, 344, 4153, 3847, 630, 1422, 2765, 26635, 3867, 273, 12453, 275, 343, 348, 1422, 2431, 3738, 11138, 1299, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 18098, 2765, 26635, 2410, 273, 343, 27874, 1299, 273, 343, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 344, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 344, 268, 273, 343, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 643, 2020, 763, 2838, 11186, 3830, 568, 454, 259, 343, 3867, 273, 4153, 3847, 1496, 476, 272, 10954, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422, 2431, 9948, 7807, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 21456, 295, 842, 912, 7445, 3667, 2715, 32027, 7684, 1422, 6912, 346, 272, 14870, 3867, 273, 3686, 1422, 3667, 2715, 3079, 540, 7684, 630, 344, 1532, 264, 1422, 3667, 2715, 538, 7684, 273, 343, 266, 273, 12169, 1532, 9385, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 14204, 11693, 912, 259, 343, 3867, 273, 15396, 263, 344, 1532, 22722, 273, 13157, 272, 14204, 11405, 912, 763, 3830, 540, 1920, 540, 14258, 568, 454, 259, 343, 3867, 273, 15396, 263, 344, 1532, 22722, 273, 13157, 272, 1422, 29911, 1422, 29911, 1422, 25854, 9217, 7751, 454, 8489, 536, 568, 513, 9936, 454, 17843, 11868, 3830, 630, 328, 264, 609, 2463, 547, 1535, 267, 649, 1205, 454, 17961, 25410, 348, 1299, 273, 343, 266, 273, 12169, 1532, 9385, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 8607, 1299, 273, 343, 266, 273, 25490, 346, 272, 14870, 3867, 273, 14990, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 1422, 29911, 1422, 29911, 1496, 8794, 630, 328, 13580, 11138, 1299, 343, 284, 10559, 6912, 346, 272, 14870, 3867, 273, 14990, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 343, 3867, 273, 13157, 263, 272, 14870, 3867, 273, 348, 9385, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 27874, 1299, 343, 3867, 273, 18098, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 343, 3867, 273, 4153, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 343, 3867, 273, 4153, 3847, 1496, 476, 272, 10954, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422, 2431, 9948, 7807, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 10592, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 341, 2020, 763, 2838, 11186, 3830, 568, 454, 259, 344, 3867, 273, 4153, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 344, 3867, 273, 13157, 272, 14204, 295, 842, 912, 17843, 11868, 3830, 630, 328, 264, 609, 2463, 547, 1535, 454, 11693, 912, 259, 263, 343, 8584, 22722, 273, 18511, 344, 3867, 273, 13157, 272, 14204, 11405, 912, 763, 3830, 540, 1920, 540, 14258, 568, 454, 259, 263, 343, 8584, 22722, 273, 18511, 344, 3867, 273, 13157, 272, 1422, 29911, 1422, 29911, 1422, 25854, 9217, 7751, 454, 8489, 513, 568, 513, 9936, 454, 17843, 11868, 3830, 630, 328, 264, 609, 2463, 547, 1535, 267, 649, 1205, 454, 17961, 25410, 348, 1299, 273, 3287, 8584, 9984, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 263, 343, 8584, 9984, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 315, 6912, 346, 272, 20742, 3867, 273, 3686, 284, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 29911, 1422, 29911, 1496, 308, 315, 256, 2206, 630, 328, 13580, 11138, 1299, 263, 272, 20742, 3867, 273, 348, 6661, 344, 3867, 273, 4153, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 344, 3867, 273, 4153, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 344, 3867, 273, 13157, 272, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 12858, 2020, 763, 2838, 11186, 3830, 568, 454, 259, 343, 13375, 1496, 586, 21702, 3189, 9507, 18097, 348, 476, 3867, 273, 348, 344, 7346, 9507, 18097, 348, 1535, 3867, 273, 3686, 10954, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1357, 692, 4134, 3697, 476, 272, 899, 692, 817, 2541, 602, 3747, 585, 513, 20161, 568, 6719, 676, 519, 3830, 1627, 323, 284, 6977, 268, 736, 335, 543, 3761, 676, 519, 3830, 1627, 338, 284, 5952, 266, 1789, 335, 267, 3602, 1627, 323, 543, 1627, 338, 616, 7274, 18796, 543, 13859, 267, 27920, 1947, 269, 8794, 519, 11466, 2783, 1627, 338, 284, 304, 323, 29679, 9876, 519, 3830, 547, 3313, 11466, 3902, 543, 7274, 14371, 1429, 519, 1079, 4834, 547, 6086, 5573, 707, 2626, 692, 30357, 3022, 609, 9297, 267, 2979, 267, 824, 692, 3286, 16331, 728, 1923, 5441, 11819, 1923, 630, 25583, 476, 273, 264, 31692, 1639, 3447, 1807, 692, 16829, 5437, 476, 1626, 267, 476, 1001, 274, 693, 476, 272, 281, 7871, 6751, 630, 12585, 1948, 272, 2020, 4134, 3697, 476, 272, 899, 692, 763, 3747, 585, 519, 20161, 568, 6719, 676, 519, 3830, 1627, 323, 284, 6977, 268, 736, 335, 543, 519, 3761, 585, 519, 20161, 568, 6719, 676, 519, 3830, 1627, 338, 284, 5952, 266, 1789, 335, 267, 3602, 1627, 323, 543, 1627, 338, 616, 7274, 18796, 543, 13859, 267, 6606, 543, 533, 568, 519, 3902, 269, 2311, 11466, 267, 519, 2783, 1627, 338, 284, 304, 323, 6585, 269, 901, 666, 581, 1031, 547, 3313, 519, 11466, 3902, 543, 7274, 780, 2252, 1627, 338, 815, 1627, 323, 267, 476, 6977, 910, 476, 736, 335, 815, 476, 5952, 1341, 476, 1789, 335, 692, 528, 476, 6977, 910, 476, 5952, 815, 476, 736, 335, 1341, 476, 1789, 335, 692, 528, 476, 1911, 815, 476, 2004, 335, 692, 528, 533, 815, 476, 273, 692, 27802, 23082, 519, 3902, 533, 815, 476, 273, 538, 519, 3830, 585, 1627, 338, 815, 476, 5952, 1341, 476, 1789, 335, 3947, 267, 1627, 338, 815, 476, 5952, 1341, 476, 2568, 815, 476, 13970, 269, 15240, 23082, 533, 815, 476, 273, 538, 519, 3830, 1627, 323, 815, 476, 6977, 910, 476, 736, 335, 3947, 476, 6977, 910, 476, 736, 265, 273, 815, 476, 6977, 910, 476, 2412, 815, 476, 13970, 780, 763, 11466, 3902, 568, 533, 815, 476, 273, 543, 519, 11466, 7274, 568, 476, 13970, 780, 2162, 15012, 547, 2626, 713, 2243, 692, 18794, 513, 2146, 540, 5215, 540, 6131, 3610, 543, 1053, 269, 0, 258, 19577, 281, 1635, 21482, 573, 692, 1892, 2913, 972, 581, 26829, 540, 519, 1482, 4463, 4171, 13279, 630, 732, 264, 519, 12730, 1269, 27398, 259, 543, 1269, 291, 9128, 8961, 543, 30085, 525, 519, 2798, 1269, 294, 259, 543, 1269, 295, 259, 630, 27920, 1947, 1916, 1892, 594, 2161, 602, 607, 3490, 1269, 27398, 259, 568, 547, 3490, 1269, 291, 9128, 8961, 865, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 18158, 1269, 291, 9128, 295, 16859, 1892, 1280, 952, 3490, 1269, 27398, 259, 568, 711, 547, 3490, 1269, 291, 9128, 8961, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 18158, 1269, 291, 9128, 295, 8961, 1287, 3490, 1269, 27398, 259, 786, 581, 547, 3490, 1269, 291, 9128, 8961, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 930, 4396, 2901, 1447, 982, 267, 610, 3152, 982, 267, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 2913, 621, 267, 1101, 540, 782, 267, 581, 630, 514, 713, 5223, 264, 547, 630, 16341, 264, 14758, 630, 338, 13521, 1070, 1269, 310, 259, 563, 1892, 1656, 1577, 18158, 1269, 291, 9128, 295, 259, 723, 1044, 5258, 883, 1079, 26829, 3160, 547, 835, 1776, 267, 543, 2147, 547, 519, 2898, 267, 543, 883, 1079, 3160, 929, 3359, 563, 1892, 1924, 267, 519, 630, 8999, 540, 519, 264, 1079, 929, 3359, 568, 3152, 982, 3368, 540, 519, 2898, 18158, 1496, 303, 1886, 269, 476, 1321, 269, 274, 14073, 1892, 1656, 267, 1586, 267, 1577, 519, 26829, 6383, 676, 519, 6498, 723, 1044, 13974, 5258, 267, 543, 1577, 713, 581, 2944, 16111, 2394, 930, 26829, 616, 2451, 689, 18158, 1269, 291, 9128, 295, 259, 799, 630, 15290, 3773, 1927, 264, 616, 1447, 982, 519, 4430, 676, 799, 18158, 1269, 291, 9128, 295, 259, 20489, 519, 4396, 1269, 310, 259, 1496, 303, 1886, 269, 476, 1015, 269, 272, 14073, 1892, 2913, 873, 723, 1044, 2451, 267, 543, 267, 585, 519, 19160, 540, 4661, 267, 1577, 873, 581, 1269, 291, 304, 11965, 259, 543, 1269, 4306, 308, 295, 259, 563, 1892, 4935, 267, 519, 630, 8999, 540, 519, 264, 6967, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 568, 3152, 982, 4396, 1269, 310, 259, 563, 1892, 2913, 18158, 1269, 27398, 294, 259, 849, 723, 1044, 5258, 13974, 267, 543, 513, 2147, 1297, 540, 2053, 267, 607, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 4935, 267, 607, 3490, 1269, 27398, 259, 568, 547, 3490, 1269, 291, 9128, 8961, 865, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 1496, 303, 1886, 269, 476, 1321, 269, 275, 14073, 1892, 1809, 267, 849, 267, 607, 3490, 1269, 27398, 259, 630, 529, 264, 547, 3490, 1269, 291, 9128, 8961, 865, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 4396, 1269, 310, 259, 563, 1892, 1656, 267, 3976, 267, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 4396, 1269, 310, 8961, 865, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 1496, 303, 1886, 269, 476, 276, 269, 1556, 14073, 1892, 4935, 267, 3124, 2299, 267, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 621, 267, 865, 4396, 1269, 310, 259, 630, 529, 264, 547, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 1496, 303, 1886, 269, 476, 276, 269, 1626, 14073, 1892, 1656, 18158, 1269, 27398, 294, 259, 630, 529, 264, 3152, 982, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 621, 563, 1892, 4935, 267, 4396, 1269, 310, 259, 630, 529, 264, 849, 3152, 982, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 1496, 303, 1886, 269, 476, 276, 269, 1691, 14073, 1892, 1809, 267, 630, 527, 568, 264, 849, 1447, 563, 1892, 901, 1360, 3364, 568, 7543, 563, 1892, 4935, 267, 607, 3490, 1269, 27398, 259, 568, 547, 3490, 1269, 291, 9128, 8961, 865, 18158, 1269, 27398, 294, 259, 630, 529, 264, 711, 547, 930, 4396, 1447, 982, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 1924, 267, 13974, 267, 649, 666, 1397, 602, 3490, 1269, 291, 9128, 259, 568, 711, 547, 3490, 1269, 27398, 8961, 607, 18158, 1269, 291, 9128, 295, 259, 630, 529, 264, 547, 930, 4396, 1447, 982, 18158, 1269, 27398, 294, 259, 2901, 563, 1892, 1924, 267, 594, 2161, 602, 9444, 568, 3490, 1269, 27398, 259, 547, 3490, 1269, 291, 9128, 8961, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 930, 4396, 3152, 982, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 1280, 267, 952, 2009, 267, 1577, 621, 581, 630, 514, 713, 5223, 264, 547, 930, 3152, 630, 338, 13521, 1070, 1269, 310, 259, 563, 1892, 4935, 267, 11201, 569, 267, 607, 3490, 1269, 291, 9128, 259, 630, 529, 264, 547, 3490, 1269, 27398, 8961, 865, 4396, 1269, 310, 259, 630, 529, 264, 547, 18158, 1269, 27398, 294, 259, 1496, 303, 1886, 269, 476, 276, 269, 278, 1351, 337, 20426, 4586, 1892, 1656, 607, 4396, 1269, 310, 259, 630, 529, 264, 547, 18158, 1269, 27398, 294, 8961, 865, 18158, 1269, 291, 9128, 295, 259, 630, 529, 264, 547, 930, 630, 338, 13521, 264, 1447, 982, 18158, 1269, 27398, 294, 8961, 607, 3254, 1354, 1496, 303, 1886, 269, 476, 1321, 269, 273, 19790, 20426, 4586, 1892, 1656, 267, 3976, 267, 607, 3490, 1269, 291, 9128, 259, 630, 529, 264, 547, 3490, 1269, 27398, 8961, 865, 18158, 1269, 291, 9128, 295, 259, 630, 529, 264, 547, 930, 630, 338, 13521, 264, 1447, 982, 18158, 1269, 27398, 294, 259, 1496, 303, 1886, 269, 476, 276, 269, 1556, 14073, 1892, 634, 1360, 3364, 729, 3254, 630, 1729, 581, 264, 21494, 563, 1892, 4935, 267, 3490, 1269, 27398, 259, 568, 711, 547, 3490, 1269, 291, 9128, 8961, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 930, 4396, 3152, 982, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 1656, 267, 621, 729, 3254, 602, 9444, 630, 529, 621, 538, 713, 5223, 264, 547, 513, 14758, 630, 338, 13521, 1916, 1892, 4935, 267, 607, 3490, 1269, 27398, 259, 568, 547, 3490, 1269, 291, 9128, 8961, 865, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 630, 7617, 568, 264, 519, 1360, 3364, 621, 729, 2838, 547, 1397, 780, 14188, 596, 547, 519, 20334, 896, 16671, 15760, 4149, 288, 476, 275, 269, 271, 2439, 294, 603, 889, 1384, 12061, 8566, 603, 889, 912, 287, 293, 6308, 6312, 4459, 692, 2162, 22108, 692, 2971, 11154, 539, 689, 630, 11357, 915, 547, 10677, 267, 609, 2186, 10479, 2020, 272, 269, 23575, 6312, 4459, 267, 9400, 281, 21482, 573, 781, 834, 292, 6123, 540, 16387, 257, 0, 15675, 8525, 692, 1012, 590, 304, 305, 304, 290, 304, 692, 1607, 2534, 267, 9862, 689, 19258, 517, 543, 1261, 573, 9047, 779, 9752, 7335, 769, 9119, 630, 1220, 280, 1070, 2337, 547, 3391, 1053, 998, 519, 1184, 540, 6061, 513, 6310, 2262, 1966, 269, 4841, 1246, 513, 5812, 1305, 540, 3268, 547, 10891, 741, 1935, 547, 6061, 519, 1966, 267, 543, 547, 2992, 1558, 659, 4321, 569, 593, 741, 1184, 269, 4841, 946, 519, 27099, 590, 304, 305, 304, 290, 304, 547, 11291, 543, 6895, 519, 1739, 3268, 281, 20776, 3272, 281, 4841, 1236, 574, 519, 1966, 547, 5531, 513, 2489, 1620, 540, 519, 2470, 540, 519, 1966, 543, 1018, 789, 616, 6061, 585, 282, 7726, 281, 4841, 2307, 1018, 519, 1966, 568, 827, 267, 543, 1018, 1344, 621, 3340, 5919, 3367, 281, 4841, 1224, 519, 1966, 5402, 543, 2697, 1271, 1344, 267, 3347, 267, 543, 3877, 602, 789, 786, 991, 547, 4194, 621, 282, 9223, 281, 4841, 2307, 1018, 789, 991, 547, 798, 547, 4194, 519, 1966, 282, 30770, 270, 17746, 1192, 281, 4841, 1685, 519, 4238, 2556, 547, 4194, 519, 1966, 282, 7726, 281, 4841, 2307, 952, 519, 3070, 2306, 2631, 267, 543, 952, 789, 12193, 519, 1966, 7157, 563, 25321, 307, 7728, 25758, 288, 454, 4041, 27073, 5058, 26827, 3201, 14510, 454, 4041, 27073, 5058, 595, 312, 290, 4041, 5254, 17803, 692, 2162, 19369, 692, 1892, 10576, 835, 610, 811, 2262, 2042, 596, 1616, 1053, 547, 4194, 563, 1892, 16259, 513, 30453, 610, 4159, 10503, 519, 3268, 540, 590, 304, 305, 304, 290, 304, 563, 1892, 16259, 547, 2203, 1210, 590, 304, 305, 304, 290, 304, 547, 4194, 693, 2547, 835, 1966, 780, 258, 476, 272, 692, 2971, 11819, 12857, 590, 304, 305, 304, 290, 304, 267, 543, 6941, 875, 547, 946, 621, 269, 11819, 3631, 1210, 590, 304, 305, 304, 290, 304, 547, 4194, 513, 1966, 780, 2026, 596, 2203, 267, 1589, 16965, 827, 519, 1184, 865, 602, 1053, 666, 1174, 875, 543, 1946, 596, 1118, 519, 3664, 596, 798, 269, 1109, 22682, 6003, 543, 1589, 16965, 827, 1142, 1900, 540, 519, 1184, 780, 258, 476, 273, 692, 2971, 11819, 10525, 590, 304, 305, 304, 290, 304, 1184, 610, 2733, 2373, 1688, 8083, 10503, 519, 1184, 269, 11819, 2733, 2373, 835, 610, 811, 2262, 2042, 547, 1053, 780, 2791, 666, 3362, 16174, 6044, 585, 713, 2534, 676, 3246, 1114, 1053, 609, 2262, 2042, 540, 8795, 2157, 540, 7411, 563, 10743, 666, 960, 14350, 610, 538, 2516, 780, 258, 476, 274, 692, 2971, 11752, 281, 4841, 1236, 574, 519, 1966, 543, 5531, 513, 2489, 1620, 540, 1018, 621, 568, 827, 267, 543, 1018, 621, 568, 6998, 780, 2791, 666, 32694, 607, 1053, 616, 2324, 267, 2502, 835, 610, 1079, 1053, 693, 513, 942, 538, 9910, 18101, 3720, 538, 799, 596, 15378, 741, 3206, 1184, 543, 741, 1620, 267, 543, 948, 547, 3391, 873, 2509, 513, 2362, 1377, 540, 2219, 780, 258, 476, 275, 692, 2971, 7726, 281, 4841, 2307, 2933, 2055, 1519, 281, 3040, 1548, 568, 519, 1966, 827, 286, 3040, 1548, 1344, 1281, 519, 1966, 2154, 286, 4841, 949, 1689, 519, 2262, 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 ]
[ 519, 29980, 675, 534, 1272, 1131, 1413, 899, 563, 263, 4905, 281, 1789, 264, 1548, 568, 29980, 675, 22675, 888, 263, 5400, 281, 1556, 264, 16700, 5793, 31147, 29980, 675, 22675, 454, 263, 1321, 281, 6021, 264, 29980, 675, 22675, 5288, 7780, 4106, 31791, 454, 263, 1428, 281, 7367, 264, 1548, 2306, 29980, 675, 753, 1114, 454, 263, 3066, 281, 6021, 264, 6496, 29980, 675, 22675, 14710, 3294, 888, 263, 3374, 281, 6734, 264, 12389, 519, 29980, 675, 534, 1272, 454, 263, 2412, 281, 2641, 264, 4208, 5749, 1405, 649, 6126, 782, 519, 942, 454, 263, 5655, 281, 2767, 264, 4804, 875, 547, 5884, 454, 29771, 547, 634, 853, 10394, 14594, 585, 12353, 1199, 14591, 267, 3527, 267, 543, 6402, 547, 519, 1655, 853, 18757, 2200, 281, 4179, 2517, 4178, 14714, 334, 531, 21392, 2593, 4882, 889, 18285, 454, 8266, 523, 547, 811, 14501, 543, 1451, 811, 1934, 281, 4179, 2517, 560, 334, 3139, 2787, 2593, 270, 24108, 23995, 10394, 8410, 951, 725, 13045, 12552, 547, 7812, 2274, 11803, 585, 1178, 19290, 15603, 721, 946, 1010, 2575, 538, 519, 7391, 281, 4179, 2517, 534, 857, 1836, 516, 2593, 270, 0, 2421, 2475, 674, 4288, 1923, 8734, 476, 276, 267, 476, 1708, 273, 1923, 670, 7894, 292, 26932, 532, 454, 2026, 4966, 538, 593, 21935, 670, 7894, 292, 10612, 12760, 267, 649, 917, 1018, 621, 3217, 547, 3888, 513, 10612, 1062, 602, 3252, 3927, 267, 7561, 267, 543, 9108, 269, 2290, 851, 540, 519, 1184, 602, 1419, 1793, 2354, 1004, 779, 8186, 568, 632, 1532, 1737, 532, 269, 1809, 19551, 547, 2347, 713, 1900, 568, 2565, 952, 596, 1616, 707, 10612, 1062, 547, 7500, 693, 5021, 4390, 563, 2080, 779, 1018, 596, 991, 547, 917, 827, 632, 1532, 1737, 532, 670, 7894, 292, 12992, 563, 1692, 1684, 670, 7894, 292, 623, 6559, 645, 1737, 338, 4813, 888, 295, 7894, 292, 10612, 19273, 1106, 1282, 519, 12765, 12760, 1184, 269, 590, 30708, 540, 670, 7894, 292, 10612, 1590, 581, 12699, 547, 25146, 873, 1927, 269, 1879, 789, 2461, 12699, 267, 519, 670, 7894, 292, 1570, 6238, 547, 15835, 2443, 543, 950, 3196, 568, 4294, 547, 25146, 519, 12992, 1927, 267, 9764, 15835, 19273, 1106, 607, 4430, 1570, 568, 14593, 27808, 610, 21286, 563, 6546, 4430, 1570, 1287, 3029, 547, 1118, 670, 7894, 292, 10612, 19273, 267, 799, 786, 1106, 593, 1312, 519, 3544, 543, 3330, 540, 519, 10612, 269, 3371, 779, 513, 1434, 6516, 689, 519, 1773, 10415, 623, 6559, 4659, 540, 1018, 1346, 670, 7894, 292, 10612, 19273, 1522, 1413, 899, 912, 3719, 339, 12760, 568, 835, 1505, 540, 535, 6748, 1079, 6810, 540, 670, 7894, 292, 10612, 1927, 269, 898, 18271, 513, 12760, 3684, 547, 3180, 1079, 4773, 540, 10612, 1247, 519, 7475, 616, 12699, 609, 513, 22865, 6676, 269, 4495, 12699, 267, 3196, 568, 1031, 547, 16119, 7903, 519, 1079, 7475, 1927, 1141, 789, 616, 2451, 547, 1921, 267, 3579, 267, 543, 13021, 563, 3719, 339, 12760, 568, 519, 1034, 1455, 543, 1655, 1505, 540, 535, 6748, 1079, 2786, 6810, 540, 10612, 1927, 269, 634, 535, 4310, 10549, 1419, 1439, 909, 1373, 6793, 982, 519, 10612, 3294, 269, 1717, 267, 519, 1184, 666, 1711, 19273, 593, 519, 3330, 543, 3544, 540, 519, 535, 4310, 10549, 602, 666, 581, 6569, 547, 3035, 8445, 10612, 2773, 538, 1978, 3156, 563, 3963, 1772, 898, 12830, 547, 17179, 670, 7894, 292, 623, 6559, 645, 1737, 338, 888, 8253, 1169, 3498, 3340, 8851, 540, 670, 7894, 292, 10612, 19273, 1282, 12765, 12760, 267, 855, 621, 568, 2556, 538, 930, 6381, 630, 324, 3052, 269, 31026, 527, 3515, 1040, 3371, 779, 1946, 563, 1103, 4156, 670, 7894, 292, 10612, 19273, 666, 1711, 3625, 1137, 1369, 519, 10612, 269, 1452, 3625, 1137, 666, 6615, 2095, 267, 15972, 4551, 543, 6915, 16344, 916, 267, 543, 1267, 538, 10612, 5957, 1813, 547, 24360, 2095, 269, 1635, 9427, 4835, 19273, 267, 596, 666, 9004, 1346, 3625, 1137, 267, 2569, 11508, 267, 543, 1450, 585, 1732, 267, 8902, 2095, 2429, 519, 10612, 563, 1692, 547, 1546, 5174, 1737, 670, 7894, 292, 623, 6346, 454, 295, 7894, 292, 10612, 19273, 666, 581, 6569, 1210, 2027, 29950, 1121, 1478, 2645, 269, 4746, 5219, 547, 607, 968, 1372, 1532, 1737, 619, 2223, 891, 670, 7894, 292, 10612, 10380, 2645, 948, 4894, 519, 19273, 593, 519, 3330, 610, 3544, 540, 519, 10612, 563, 268, 1323, 4835, 10612, 632, 1532, 1737, 518, 568, 513, 3476, 267, 15393, 11057, 1907, 602, 666, 3914, 909, 519, 3259, 540, 519, 10612, 269, 898, 3096, 513, 5397, 6023, 543, 2759, 614, 2212, 547, 3914, 538, 543, 2759, 519, 29950, 2476, 689, 519, 9703, 269, 9208, 4835, 632, 1532, 1737, 619, 616, 4998, 585, 10612, 5603, 4394, 1063, 476, 274, 269, 276, 268, 1704, 269, 278, 514, 267, 855, 3677, 3283, 616, 2139, 547, 9290, 10612, 5603, 4394, 909, 547, 476, 4029, 269, 276, 514, 563, 268, 1323, 5007, 10612, 632, 1532, 1737, 518, 568, 513, 1826, 540, 2196, 268, 19925, 1544, 532, 1907, 269, 898, 2007, 338, 883, 519, 29950, 543, 3096, 513, 3731, 322, 2867, 5163, 547, 12347, 2759, 621, 1055, 269, 1452, 2645, 616, 849, 4749, 1031, 538, 1793, 328, 680, 1456, 543, 524, 2084, 3157, 547, 7816, 20984, 563, 292, 2416, 1259, 267, 670, 7894, 292, 10612, 632, 1532, 1737, 532, 568, 513, 5266, 2656, 1184, 952, 596, 723, 519, 1318, 2319, 543, 3937, 269, 769, 1034, 2665, 267, 25255, 1331, 621, 538, 741, 10612, 10380, 543, 12760, 2533, 563, 2690, 16869, 670, 7894, 292, 623, 6559, 12305, 566, 7896, 267, 13555, 2475, 674, 4785, 12778, 563, 2252, 596, 2461, 538, 991, 540, 670, 7894, 292, 10612, 12760, 543, 29950, 8851, 267, 3972, 2475, 674, 4785, 12778, 269, 2060, 6789, 10933, 8791, 26577, 2275, 1068, 1881, 12760, 23390, 543, 513, 18239, 540, 12760, 6191, 538, 6006, 267, 649, 2461, 4712, 547, 1683, 4810, 267, 6325, 267, 543, 2922, 10612, 12760, 2533, 585, 513, 3099, 540, 3156, 269, 3776, 3157, 2743, 519, 5207, 2872, 4441, 543, 2825, 6042, 267, 3850, 721, 547, 2327, 513, 2816, 1134, 2944, 1142, 543, 1169, 942, 563, 2690, 811, 1344, 267, 2285, 721, 513, 1289, 693, 630, 18597, 264, 476, 5038, 278, 268, 28638, 278, 610, 3346, 721, 2228, 563, 2421, 2475, 674, 4288, 1923, 4239, 476, 1428, 267, 476, 1708, 273, 1923, 2983, 657, 24678, 6931, 619, 454, 31572, 29908, 543, 20984, 593, 4070, 4609, 568, 1271, 538, 4509, 519, 3106, 540, 4600, 267, 6703, 267, 543, 4478, 5054, 269, 589, 1134, 27059, 6281, 2270, 618, 1062, 786, 948, 1205, 596, 972, 563, 2080, 779, 519, 1085, 17274, 593, 1018, 6281, 2270, 618, 568, 267, 1018, 6281, 2270, 618, 4170, 616, 267, 543, 875, 547, 1265, 519, 6281, 2270, 618, 3070, 602, 779, 1318, 585, 707, 3498, 563, 1432, 1772, 18520, 1230, 24287, 888, 13553, 776, 2270, 618, 568, 1022, 1062, 267, 3926, 267, 610, 1852, 2268, 602, 779, 1031, 547, 3247, 513, 6219, 689, 694, 9429, 883, 513, 9138, 1858, 269, 1411, 666, 1589, 540, 621, 607, 707, 3119, 8708, 779, 19307, 1544, 269, 1403, 707, 4859, 7382, 610, 3282, 14941, 20984, 267, 707, 6281, 2270, 618, 3070, 786, 1683, 606, 3063, 4494, 540, 4027, 547, 1832, 519, 21383, 8659, 563, 3963, 1772, 18520, 1230, 24287, 10261, 539, 593, 14716, 26317, 888, 2005, 779, 513, 3106, 13390, 1081, 269, 1703, 616, 513, 3099, 540, 2326, 543, 6878, 1031, 2429, 519, 4070, 1184, 267, 930, 540, 799, 616, 13818, 547, 1480, 543, 5924, 2825, 1072, 2443, 1589, 3282, 267, 4492, 267, 12318, 1043, 2326, 267, 13818, 3653, 267, 20919, 267, 14107, 267, 3092, 563, 2252, 519, 3119, 8708, 8066, 602, 6219, 6238, 547, 13451, 267, 596, 991, 513, 6281, 2270, 618, 1062, 547, 6952, 519, 21383, 543, 2061, 513, 3677, 267, 811, 5906, 3190, 563, 15650, 540, 18520, 1230, 24287, 7010, 454, 7712, 1169, 4070, 3498, 814, 1114, 2115, 267, 972, 5749, 1406, 1022, 4170, 585, 1018, 6281, 2270, 618, 1949, 991, 547, 1413, 899, 269, 1703, 616, 1152, 4170, 585, 1018, 621, 2115, 547, 9585, 563, 11997, 267, 972, 616, 1082, 1114, 2010, 540, 6281, 2270, 618, 1949, 1031, 269, 3371, 616, 513, 1906, 1455, 3283, 912, 13553, 776, 1230, 24287, 21976, 585, 14716, 26317, 454, 13553, 776, 2270, 618, 568, 2838, 676, 1896, 5313, 267, 1533, 267, 543, 2199, 6042, 269, 1452, 4170, 4268, 1759, 593, 11769, 267, 607, 1134, 607, 676, 519, 1826, 543, 7274, 540, 13818, 6878, 17411, 269, 1411, 949, 1256, 723, 6878, 602, 616, 14931, 676, 811, 982, 835, 8116, 896, 1114, 6042, 269, 769, 602, 2013, 267, 621, 779, 1655, 547, 3346, 1142, 8116, 543, 7654, 8430, 513, 4745, 5870, 547, 1865, 519, 1655, 1544, 540, 2962, 563, 7712, 6281, 2270, 618, 4170, 666, 4268, 267, 649, 3580, 6529, 547, 930, 540, 519, 1034, 1455, 267, 3622, 7608, 267, 543, 740, 22363, 3562, 4441, 689, 519, 7025, 10466, 10837, 630, 292, 5183, 1040, 5457, 602, 713, 568, 711, 519, 2407, 1592, 540, 6281, 2270, 618, 4170, 267, 865, 581, 2386, 547, 2007, 4514, 883, 1533, 543, 2199, 6042, 585, 707, 1808, 3498, 563, 292, 5183, 779, 18520, 1230, 24287, 21976, 454, 763, 1292, 16501, 7939, 602, 14592, 6281, 2270, 618, 4170, 568, 16501, 476, 2412, 595, 15709, 476, 25784, 269, 11260, 269, 898, 9598, 919, 2947, 1292, 4170, 912, 268, 623, 969, 1190, 1145, 2443, 2659, 6281, 2270, 618, 1062, 1590, 896, 12340, 3119, 11149, 267, 543, 581, 1863, 540, 18015, 543, 10616, 865, 602, 20984, 543, 29908, 616, 4625, 8659, 563, 268, 32437, 2443, 2659, 6281, 2270, 618, 1062, 3490, 1590, 581, 1793, 25660, 267, 610, 621, 1590, 581, 2966, 547, 8963, 543, 4894, 838, 2683, 6878, 269, 901, 568, 865, 707, 3119, 8708, 3085, 1406, 1694, 538, 922, 1378, 3653, 563, 268, 4825, 1549, 27519, 2443, 2659, 6281, 2270, 618, 1062, 1590, 723, 519, 4390, 547, 2270, 476, 1015, 260, 540, 519, 4320, 540, 782, 3119, 11149, 610, 476, 1911, 260, 540, 519, 4320, 540, 519, 4102, 3119, 8708, 2443, 627, 31295, 568, 3152, 563, 268, 2776, 27457, 2787, 10644, 2443, 2659, 6281, 2270, 618, 1062, 1590, 2061, 13247, 689, 10024, 267, 8259, 621, 814, 2614, 4390, 547, 3180, 602, 13247, 2059, 609, 824, 6878, 543, 12802, 4390, 4170, 563, 268, 17904, 31203, 2443, 7102, 6878, 602, 723, 838, 2683, 883, 707, 6281, 2270, 618, 1062, 1058, 581, 1202, 4624, 543, 19345, 909, 607, 4166, 607, 2009, 547, 2061, 24492, 563, 1692, 547, 4855, 519, 18520, 1230, 24287, 8827, 2334, 779, 9406, 585, 2659, 13335, 454, 3086, 602, 596, 723, 513, 16861, 1620, 540, 6281, 2270, 618, 4170, 267, 596, 949, 723, 513, 1732, 2856, 540, 1018, 6281, 2270, 618, 3070, 568, 5078, 585, 707, 1788, 269, 1809, 547, 1118, 2386, 596, 2461, 1818, 519, 32343, 267, 811, 2500, 3375, 267, 621, 779, 2141, 1655, 547, 2911, 609, 513, 6281, 2270, 618, 11285, 899, 2475, 674, 4785, 12778, 563, 2171, 3580, 948, 596, 4137, 856, 799, 1826, 540, 6281, 2270, 618, 568, 1655, 543, 875, 547, 3888, 621, 538, 513, 1259, 602, 10742, 782, 4170, 689, 10858, 9431, 8041, 269, 1809, 1034, 540, 782, 267, 649, 3580, 3888, 621, 538, 513, 1259, 602, 8952, 707, 1004, 267, 9744, 267, 543, 1604, 1863, 689, 2800, 563, 23086, 2475, 674, 4785, 12778, 779, 18520, 1230, 24287, 7981, 1235, 454, 2414, 2327, 707, 1788, 543, 9744, 616, 538, 2347, 10220, 267, 513, 6281, 2270, 618, 1062, 568, 2556, 269, 1403, 596, 991, 948, 4466, 519, 1318, 6281, 2270, 618, 3070, 585, 707, 20614, 4070, 1788, 267, 3346, 2475, 674, 4785, 12778, 269, 3776, 12665, 666, 948, 2626, 707, 2055, 267, 3761, 519, 2472, 596, 991, 267, 543, 3888, 873, 585, 5021, 2825, 1852, 563, 2421, 2475, 674, 4288, 1923, 4119, 476, 3066, 267, 476, 1708, 273, 1923, 670, 7894, 292, 26932, 532, 454, 1103, 519, 20614, 4070, 2230, 267, 972, 779, 513, 2603, 540, 2911, 827, 519, 1655, 2326, 585, 513, 2816, 267, 543, 585, 1434, 2601, 269, 3143, 2339, 707, 2872, 610, 946, 2013, 267, 2773, 6927, 267, 543, 8939, 519, 1318, 3070, 585, 707, 1808, 3498, 666, 1118, 610, 2736, 707, 4070, 1788, 269, 901, 6643, 568, 3226, 1271, 950, 621, 2501, 547, 10398, 532, 267, 538, 851, 1317, 596, 949, 711, 917, 519, 3017, 1063, 519, 1079, 1883, 5716, 281, 670, 7894, 292, 543, 31668, 563, 3719, 670, 7894, 292, 543, 31668, 10612, 723, 930, 1271, 3604, 950, 621, 2501 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10158, 3724, 10724, 267, 744, 5336, 520, 3700, 642, 277, 14871, 6651, 454, 10463, 269, 9745, 834, 288, 5119, 2348, 693, 2547, 835, 10155, 3160, 547, 4642, 568, 1572, 606, 8900, 5119, 2580, 30731, 4578, 23113, 21444, 476, 1220, 280, 268, 1321, 268, 2764, 693, 519, 10158, 3724, 10724, 454, 10619, 269, 9745, 674, 644, 28086, 1299, 570, 10098, 548, 1109, 2735, 274, 267, 587, 480, 4089, 476, 272, 269, 272, 269, 272, 454, 4037, 269, 9745, 2494, 940, 1109, 1960, 280, 267, 587, 480, 4089, 476, 1428, 269, 274, 269, 275, 454, 10602, 269, 9745, 24156, 1109, 1960, 278, 267, 587, 480, 2419, 269, 476, 273, 269, 279, 454, 6507, 269, 9745, 853, 8657, 1109, 1220, 276, 267, 587, 480, 2419, 269, 476, 272, 269, 272, 269, 276, 543, 476, 272, 269, 273, 269, 275, 454, 4281, 269, 9745, 5948, 585, 17270, 7557, 10320, 1109, 3192, 280, 267, 587, 480, 2419, 269, 476, 278, 454, 8064, 269, 9745, 29331, 559, 1299, 20858, 548, 1109, 1220, 275, 267, 587, 480, 2419, 269, 476, 279, 269, 272, 454, 3199, 269, 9745, 15722, 333, 523, 1109, 1220, 273, 454, 10037, 269, 9745, 18999, 1109, 2735, 278, 320, 267, 587, 480, 2419, 269, 2473, 9654, 269, 277, 454, 11025, 269, 9745, 715, 665, 539, 531, 1109, 1220, 277, 267, 587, 480, 2419, 269, 476, 1626, 454, 10695, 269, 9745, 18999, 1109, 2735, 278, 320, 267, 587, 480, 2419, 269, 2473, 9654, 269, 272, 454, 10019, 269, 9745, 18999, 1109, 2735, 278, 320, 267, 587, 480, 2419, 269, 2473, 9654, 269, 276, 269, 1280, 513, 811, 4359, 267, 543, 811, 2489, 3948, 1294, 18999, 1109, 3422, 280, 267, 587, 480, 2419, 269, 17886, 269, 273, 454, 5952, 269, 9745, 16500, 321, 1173, 1299, 2558, 644, 5424, 1109, 1220, 272, 454, 9262, 269, 9745, 4678, 537, 3832, 1299, 10548, 553, 342, 9564, 1109, 1960, 280, 454, 6434, 269, 9745, 2725, 1002, 320, 1299, 590, 12541, 643, 553, 534, 1109, 3192, 279, 267, 587, 480, 2419, 269, 476, 273, 269, 279, 454, 8660, 269, 9745, 1261, 3315, 267, 7812, 630, 2735, 277, 1070, 4223, 4631, 585, 10803, 267, 10228, 2160, 4964, 267, 9768, 1109, 7818, 268, 271, 268, 866, 268, 25616, 3583, 273, 268, 275, 454, 3445, 269, 9745, 918, 337, 345, 534, 22603, 1109, 2735, 279, 267, 587, 480, 2419, 269, 476, 273, 269, 273, 1421, 533, 269, 476, 2568, 454, 11011, 269, 9745, 918, 337, 345, 534, 22603, 1109, 2735, 279, 267, 587, 480, 2419, 269, 476, 275, 269, 272, 454, 10844, 269, 9745, 454, 11152, 269, 9745, 2098, 629, 16967, 514, 267, 6601, 345, 514, 1299, 20673, 752, 990, 1696, 620, 269, 1109, 1220, 277, 454, 11463, 269, 9745, 898, 5414, 802, 517, 1299, 2098, 21310, 1109, 2735, 271, 267, 587, 480, 2419, 269, 476, 273, 454, 4817, 269, 9745, 1294, 26990, 612, 1299, 18703, 1109, 1220, 278, 267, 587, 480, 7611, 476, 272, 269, 277, 269, 274, 269, 630, 24746, 263, 274, 24270, 3296, 476, 273, 269, 275, 269, 274, 269, 273, 269, 630, 298, 984, 599, 20076, 1700, 300, 2532, 11867, 5119, 994, 9834, 269, 9745, 5576, 858, 1109, 3422, 279, 267, 587, 480, 2419, 269, 476, 277, 454, 9032, 269, 9745, 645, 2129, 332, 1109, 1220, 272, 267, 587, 480, 21827, 4083, 269, 275, 543, 4083, 269, 279, 454, 7176, 269, 9745, 1284, 514, 6199, 1109, 1960, 276, 267, 587, 480, 2419, 269, 476, 274, 454, 4200, 269, 9745, 654, 615, 21884, 1109, 2735, 278, 267, 587, 480, 4820, 4083, 454, 1911, 269, 9745, 681, 13704, 267, 20122, 5459, 1299, 645, 775, 1109, 1960, 278, 267, 587, 480, 278, 269, 1704, 454, 6200, 269, 9745, 2871, 550, 615, 1109, 1960, 271, 267, 587, 480, 2419, 269, 476, 276, 454, 9083, 269, 9745, 30715, 267, 9061, 2917, 1299, 700, 684, 1109, 1960, 280, 11855, 676, 6601, 1206, 7815, 1109, 1220, 276, 267, 587, 480, 335, 269, 476, 272, 454, 9818, 269, 2598, 4740, 9119, 476, 275, 628, 3798, 269, 667, 657, 8124, 267, 32572, 267, 1975, 1619, 267, 966, 663, 523, 29431, 526, 523, 267, 15618, 676, 5410, 2581, 24380, 2917, 267, 5239, 476, 1015, 267, 476, 1220, 272, 9768, 1109, 7818, 268, 271, 268, 25834, 268, 5881, 280, 1321, 268, 272, 267, 533, 269, 476, 276, 5038, 268, 276, 4792, 454, 10441, 269, 9745, 10261, 5069, 267, 9478, 282, 15651, 700, 532, 630, 4198, 280, 1040, 3163, 543, 6406, 5314, 538, 3624, 269, 5292, 269, 1109, 7656, 269, 11062, 281, 11062, 2160, 4964, 269, 533, 269, 1109, 14056, 269, 9768, 1109, 7818, 268, 271, 268, 276, 2641, 268, 4962, 279, 4905, 268, 279, 563, 10755, 269, 9745, 2598, 4740, 9119, 476, 275, 628, 3798, 269, 667, 657, 8124, 267, 32572, 267, 1975, 1619, 267, 966, 663, 523, 29431, 526, 523, 267, 15618, 676, 5410, 2581, 24380, 2917, 267, 5239, 476, 1015, 267, 476, 1220, 272, 9768, 1109, 7818, 268, 271, 268, 25834, 268, 5881, 280, 1321, 268, 272, 267, 533, 269, 476, 276, 5038, 454, 11793, 269, 9745, 8585, 26713, 268, 31812, 8675, 267, 8585, 26713, 268, 31812, 267, 27366, 4989, 476, 736, 267, 476, 1220, 280, 454, 13040, 269, 9745, 4014, 1082, 2959, 1533, 602, 808, 269, 808, 269, 31506, 1407, 614, 22579, 519, 6310, 2165, 834, 9795, 257, 538, 476, 7277, 279, 267, 31506, 1407, 614, 3370, 4986, 538, 476, 7277, 279, 269, 630, 2690, 6169, 602, 31506, 1407, 614, 3370, 4986, 538, 476, 7277, 279, 267, 1294, 281, 808, 269, 808, 269, 31506, 1407, 614, 609, 670, 269, 674, 269, 22823, 267, 1196, 1421, 634, 11814, 539, 19556, 14430, 540, 6276, 9478, 31506, 1407, 614, 630, 23173, 8822, 267, 4789, 281, 11062, 2160, 4964, 267, 476, 5002, 275, 1070, 2019, 269, 476, 272, 4700, 3571, 9998, 946, 540, 519, 2165, 834, 9795, 257, 4386, 538, 476, 6977, 271, 538, 808, 269, 808, 269, 31506, 1407, 614, 630, 6977, 271, 264, 834, 3849, 1885, 547, 519, 4930, 538, 519, 5181, 1297, 540, 713, 4760, 267, 834, 4002, 513, 1007, 1362, 540, 5376, 916, 2437, 543, 593, 623, 26696, 781, 11532, 2437, 634, 5507, 267, 25470, 267, 543, 25212, 11096, 28441, 18225, 543, 4750, 540, 3163, 267, 476, 4391, 281, 476, 3607, 274, 268, 24907, 269, 3245, 2985, 476, 3607, 280, 281, 834, 2690, 713, 3483, 267, 649, 1590, 30134, 267, 711, 609, 513, 4009, 267, 855, 609, 606, 1073, 14075, 11460, 540, 2474, 9967, 267, 15475, 267, 540, 544, 3515, 543, 562, 9587, 269, 901, 1281, 711, 538, 3294, 2099, 513, 24572, 267, 855, 568, 267, 607, 621, 941, 267, 513, 19336, 856, 540, 799, 649, 949, 1106, 1585, 1949, 540, 21876, 3267, 27029, 10482, 269, 9745, 634, 11814, 539, 19556, 14430, 540, 6276, 9478, 31506, 1407, 614, 281, 476, 8146, 278, 1700, 6977, 274, 267, 7433, 476, 4391, 267, 533, 269, 476, 26316, 454, 11820, 269, 9745, 5845, 269, 9558, 269, 476, 6977, 279, 267, 2019, 269, 16825, 267, 6032, 269, 1704, 268, 4391, 4569, 269, 14430, 4083, 476, 275, 4037, 268, 5392, 277, 454, 8099, 269, 9745, 12603, 644, 517, 333, 2946, 267, 1196, 269, 1109, 3192, 279, 267, 587, 480, 14157, 269, 476, 272, 267, 932, 269, 8633, 267, 533, 269, 476, 9834, 454, 9340, 269, 9745, 12928, 29793, 5255, 1109, 1960, 275, 454, 12208, 269, 9745, 8316, 9469, 1109, 3192, 276, 454, 13647, 269, 9745, 918, 337, 821, 14982, 1109, 6245, 278, 454, 14625, 269, 9745, 1284, 1512, 1598, 817, 1109, 4489, 276, 267, 587, 480, 653, 269, 476, 27244, 1700, 30525, 454, 12893, 269, 9745, 645, 20110, 7815, 1109, 1220, 275, 454, 14138, 269, 9745, 2725, 31137, 1299, 5589, 1156, 6199, 1109, 2735, 278, 454, 14056, 269, 9745, 6519, 3650, 267, 21238, 3345, 282, 543, 21651, 267, 26450, 8681, 630, 4489, 274, 264, 10988, 760, 807, 4223, 11490, 320, 547, 2608, 6321, 267, 11062, 693, 519, 2160, 4964, 267, 11062, 5177, 630, 10517, 21242, 476, 3422, 273, 264, 32647, 2985, 476, 14341, 742, 563, 14093, 269, 9745, 570, 1513, 7288, 267, 21238, 282, 630, 3707, 277, 264, 4985, 547, 20603, 543, 519, 6396, 1108, 540, 667, 9254, 21063, 7070, 267, 667, 1478, 23549, 267, 5549, 267, 1715, 3840, 12924, 267, 9768, 1109, 271, 268, 4366, 277, 268, 29257, 7830, 29930, 269, 0, 258, 476, 273, 343, 476, 272, 476, 1691, 2473, 692, 1012, 1548, 568, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 2496, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 568, 606, 3830, 602, 568, 1031, 547, 2263, 519, 1523, 540, 7223, 269, 10789, 568, 513, 7936, 540, 6128, 602, 9388, 609, 519, 3347, 1063, 7164, 2338, 267, 4632, 267, 543, 21635, 269, 1677, 1118, 519, 3830, 960, 267, 835, 2115, 547, 4194, 585, 519, 7164, 4756, 267, 799, 538, 713, 2013, 568, 968, 343, 1848, 901, 3830, 568, 1419, 1031, 607, 606, 1383, 538, 15821, 2042, 950, 3450, 1053, 519, 17950, 540, 7223, 780, 2162, 1548, 568, 519, 2495, 540, 519, 3830, 2496, 763, 3830, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 568, 1031, 547, 4194, 585, 519, 7164, 4756, 267, 968, 343, 1848, 769, 713, 3830, 267, 519, 1079, 2474, 593, 519, 2451, 2427, 540, 519, 3160, 1129, 2099, 519, 4082, 476, 273, 343, 1341, 476, 272, 267, 543, 519, 2165, 593, 519, 1318, 2427, 540, 519, 3830, 568, 476, 1691, 343, 269, 1677, 1265, 519, 1871, 540, 1535, 267, 835, 2115, 547, 4194, 585, 621, 269, 634, 3830, 666, 581, 16866, 676, 12270, 1312, 5011, 540, 519, 3830, 676, 519, 11664, 540, 1535, 267, 799, 568, 476, 1691, 269, 23560, 865, 2164, 538, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 4742, 476, 273, 270, 1691, 1535, 1341, 476, 272, 270, 1691, 815, 1535, 269, 1635, 18946, 476, 272, 270, 1691, 689, 1312, 5011, 540, 519, 3830, 267, 519, 3830, 29776, 547, 476, 273, 270, 1691, 1535, 815, 1535, 910, 476, 272, 270, 1691, 269, 29435, 532, 1312, 5011, 540, 519, 3830, 676, 476, 273, 270, 1691, 11729, 1535, 815, 476, 278, 270, 278, 267, 799, 568, 519, 3070, 547, 519, 3830, 780, 2971, 1215, 568, 519, 3830, 1031, 538, 2259, 2496, 763, 3830, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 568, 1419, 1031, 547, 6542, 519, 9238, 540, 7223, 543, 875, 547, 4194, 585, 606, 7164, 4756, 269, 898, 568, 513, 2241, 3830, 547, 946, 607, 606, 1383, 950, 3450, 1053, 519, 17950, 540, 7223, 269, 898, 568, 849, 1031, 607, 513, 4358, 1448, 547, 4001, 1053, 875, 547, 4194, 811, 1950, 4834, 269, 634, 3830, 666, 849, 581, 1031, 547, 4194, 811, 7294, 2042, 269, 1280, 1383, 267, 952, 835, 6499, 547, 1265, 519, 1858, 540, 513, 13551, 267, 789, 666, 946, 519, 3830, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 547, 4194, 585, 1535, 267, 1287, 9062, 519, 3259, 543, 8700, 540, 519, 13551, 1927, 547, 1205, 519, 1858, 269, 901, 3830, 666, 849, 581, 1031, 547, 4194, 585, 519, 18592, 540, 513, 5858, 269, 1635, 6061, 585, 1535, 267, 835, 666, 1265, 519, 8953, 540, 519, 5858, 267, 1287, 946, 519, 3830, 476, 273, 11027, 337, 547, 1265, 519, 18592, 780, 2971, 1548, 824, 4834, 616, 1031, 538, 7223, 2496, 1103, 1840, 547, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 267, 972, 616, 513, 3099, 540, 824, 4834, 1031, 538, 7223, 269, 1452, 1331, 5276, 4834, 267, 13392, 4834, 267, 9971, 4834, 267, 543, 12825, 4834, 267, 1851, 1866, 269, 3962, 3830, 568, 1031, 547, 4194, 1114, 2010, 540, 2042, 543, 568, 1031, 547, 6542, 519, 1114, 3741, 540, 7223, 780, 2971, 1548, 616, 519, 2640, 540, 1565, 7223, 2496, 13981, 7223, 666, 581, 513, 1390, 4324, 547, 1022, 2875, 269, 898, 666, 948, 1053, 1174, 519, 3741, 540, 2979, 543, 875, 547, 4194, 4834, 269, 898, 666, 849, 948, 873, 1174, 519, 3347, 1063, 4632, 543, 21635, 267, 799, 666, 581, 513, 3730, 1907, 950, 2324, 593, 811, 2352, 2979, 2042, 269, 10789, 666, 849, 948, 1053, 538, 824, 2127, 540, 2257, 267, 971, 607, 6323, 543, 7998, 267, 607, 621, 568, 1031, 547, 2491, 875, 1114, 6878, 2170, 780, 2971, 10390, 692, 763, 3830, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 568, 513, 2241, 3830, 1031, 547, 6542, 519, 9238, 540, 7223, 543, 875, 547, 4194, 585, 606, 7164, 4756, 269, 898, 568, 1419, 1031, 538, 15821, 2042, 950, 3450 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4985, 454, 1103, 519, 3332, 2689, 649, 5635, 2090, 676, 824, 11570, 543, 649, 4063, 875, 1114, 891, 616, 689, 23600, 269, 1284, 4312, 1224, 13746, 267, 2835, 543, 4930, 538, 3163, 6034, 269, 769, 713, 3184, 649, 2811, 2111, 547, 4228, 938, 1702, 875, 824, 5830, 2070, 519, 3390, 693, 1688, 269, 1284, 723, 10268, 1585, 2081, 540, 519, 1239, 649, 1336, 267, 2901, 676, 19696, 1210, 519, 14905, 3898, 267, 2592, 543, 7515, 563, 273, 269, 476, 272, 9085, 5623, 454, 3528, 519, 1032, 476, 2735, 274, 267, 519, 4161, 540, 5061, 729, 10294, 513, 3084, 6595, 676, 519, 14570, 1014, 2229, 269, 15526, 26722, 540, 19338, 543, 1346, 9575, 609, 519, 5061, 609, 2463, 547, 519, 2179, 540, 5061, 602, 789, 1185, 538, 741, 15896, 941, 30992, 547, 2669, 267, 1346, 941, 930, 540, 519, 2081, 519, 2229, 729, 3843, 547, 8207, 519, 2783, 855, 952, 2576, 729, 26722, 540, 3908, 547, 15896, 540, 5061, 646, 24172, 729, 25058, 513, 14317, 8998, 585, 476, 2190, 3275, 269, 4495, 1483, 2213, 689, 519, 8998, 267, 519, 3328, 1268, 814, 12964, 3275, 540, 2625, 566, 941, 646, 610, 1352, 814, 1079, 10729, 4255, 513, 3923, 563, 291, 2607, 267, 13939, 689, 11062, 667, 17152, 6732, 267, 8813, 883, 1079, 6688, 602, 616, 4915, 543, 796, 32016, 6219, 269, 10738, 519, 4915, 7121, 267, 519, 2262, 3075, 1797, 1022, 2067, 610, 31567, 1500, 3114, 799, 568, 8246, 607, 513, 4915, 1247, 538, 519, 7121, 540, 24648, 527, 1493, 6219, 267, 3075, 1797, 1022, 2067, 610, 31567, 1500, 3114, 799, 568, 3144, 585, 12257, 267, 547, 5818, 2576, 781, 2773, 540, 513, 4305, 267, 610, 1175, 1317, 513, 1268, 3112, 3247, 11766, 532, 621, 269, 634, 8545, 10096, 2965, 9446, 532, 519, 3119, 22906, 609, 713, 1353, 799, 568, 519, 2962, 540, 6219, 6057, 267, 799, 676, 519, 1482, 2707, 267, 6057, 2409, 547, 946, 610, 1521, 2576, 610, 1945, 4636, 569, 610, 21354, 267, 2523, 538, 513, 1259, 602, 568, 547, 707, 1378, 5413, 563, 1607, 14432, 7613, 568, 2965, 513, 5001, 6433, 543, 949, 3142, 2059, 513, 1390, 1764, 538, 835, 781, 1272, 267, 18867, 513, 2146, 267, 543, 1287, 786, 1860, 519, 2208, 540, 513, 2197, 269, 2368, 1767, 602, 713, 6433, 568, 519, 1482, 2085, 607, 30768, 269, 898, 2731, 568, 3330, 938, 2470, 602, 1004, 899, 547, 8532, 1919, 602, 3142, 721, 12257, 543, 1373, 538, 519, 1533, 540, 552, 25045, 18319, 269, 1717, 267, 649, 1058, 1101, 2015, 519, 2427, 2360, 540, 519, 6981, 540, 971, 6878, 269, 1703, 568, 11999, 1297, 540, 29622, 602, 1185, 1044, 5645, 856, 538, 1931, 547, 16401, 610, 536, 4314, 713, 6433, 782, 1472, 519, 8608, 269, 1703, 616, 22705, 543, 17498, 585, 519, 3466, 540, 519, 6219, 6057, 2665, 855, 621, 1185, 2760, 1044, 30403, 4625, 563, 298, 783, 320, 700, 2794, 584, 607, 513, 11112, 1747, 267, 1034, 540, 519, 11317, 991, 5061, 547, 11883, 609, 519, 3728, 1272, 269, 1452, 5061, 666, 581, 22925, 6878, 971, 607, 5869, 710, 267, 4568, 267, 543, 3235, 560, 6470, 21447, 269, 634, 1382, 676, 519, 14570, 1014, 5369, 12278, 5948, 630, 1220, 277, 1070, 4951, 602, 519, 2247, 568, 3413, 21719, 676, 519, 10057, 5061, 269, 634, 2451, 1858, 540, 519, 2634, 568, 4299, 568, 3957, 519, 8007, 13374, 269, 8033, 4240, 946, 540, 5061, 2110, 2275, 1844, 7057, 519, 8007, 13374, 799, 875, 21341, 6238, 269, 634, 2247, 786, 1287, 991, 811, 543, 811, 1804, 9424, 540, 519, 6219, 3144, 936, 942, 269, 634, 2634, 7998, 568, 12012, 693, 713, 942, 267, 4061, 24040, 3270, 6238, 1934, 563, 291, 2607, 338, 899, 25933, 666, 1267, 538, 1279, 9434, 3441, 267, 2669, 543, 1256, 1840, 269, 3245, 713, 2376, 9862, 689, 834, 3918, 4596, 23615, 312, 715, 8582, 257, 3896, 593, 25933, 2360, 267, 621, 568, 5018, 602, 649, 1631, 723, 1079, 1114, 6688, 540, 25933, 1198, 269, 1452, 2360, 616, 4080, 547, 581, 1279, 17941, 543, 2110, 17941, 269, 898, 3085, 1405, 2339, 875, 1082, 2053, 513, 1268, 3096, 25933, 1256, 2899, 256, 646, 315, 9917, 2833, 2110, 3856, 25933, 2360, 799, 1331, 2799, 1973, 2604, 267, 2790, 10332, 1145, 267, 2799, 2295, 2557, 267, 8519, 14031, 543, 2799, 1560, 781, 2837, 269, 634, 1279, 3856, 2360, 2408, 1310, 2799, 5712, 3730, 269, 7043, 9434, 2360, 1331, 29338, 267, 7099, 18063, 543, 1964, 16531, 563, 300, 15097, 568, 849, 835, 540, 519, 1360, 1034, 4122, 26884, 3075, 543, 538, 1899, 609, 519, 1977, 7027, 1280, 10684, 4065, 789, 4766, 621, 607, 513, 7646, 26390, 514, 4094, 609, 930, 4568, 781, 1244, 816, 656, 799, 2164, 538, 32583, 267, 900, 19148, 572, 2742, 543, 19357, 658, 10447, 269, 769, 1840, 789, 3136, 547, 2566, 602, 17089, 5012, 547, 4389, 2179, 540, 1565, 2702, 799, 568, 835, 540, 519, 4128, 1946, 1034, 1053, 945, 8673, 17089, 9959, 7900, 21354, 693, 1153, 607, 621, 7182, 519, 12588, 547, 10110, 1344, 607, 621, 568, 3810, 22925, 563, 1103, 606, 6159, 1324, 1533, 513, 1268, 851, 27457, 919, 538, 513, 31017, 7180, 267, 1256, 950, 5185, 609, 4101, 1272, 3871, 269, 18391, 693, 519, 3728, 1272, 538, 918, 783, 320, 700, 2794, 584, 513, 2603, 540, 2591, 616, 5185, 676, 519, 6107, 972, 267, 891, 1331, 13864, 267, 3668, 540, 513, 6068, 835, 610, 6710, 269, 1452, 3871, 666, 1118, 596, 23494, 946, 5061, 547, 16401, 971, 10413, 5433, 1369, 563, 763, 2817, 14640, 5937, 2607, 10837, 630, 6124, 18135, 1080, 476, 1321, 5988, 476, 1001, 271, 264, 814, 1031, 936, 681, 300, 476, 4968, 2929, 12422, 547, 2057, 267, 1521, 267, 543, 11222, 4106, 622, 13982, 338, 269, 1358, 1616, 547, 3035, 519, 3077, 585, 513, 3075, 6954, 17111, 538, 476, 1001, 276, 543, 3075, 6954, 14570, 1014, 3506, 538, 476, 1001, 273, 269, 634, 8689, 540, 519, 8116, 13096, 4157, 19869, 592, 25234, 597, 2098, 514, 814, 5018, 602, 972, 15983, 568, 606, 24034, 2557, 540, 3075, 705, 22852, 593, 519, 2333, 269, 634, 8116, 6707, 11222, 4106, 730, 476, 1556, 476, 4375, 276, 13982, 338, 538, 476, 1220, 280, 476, 1220, 280, 855, 1152, 476, 7906, 260, 540, 519, 13982, 338, 616, 2973, 1631, 269, 2334, 2982, 602, 519, 3075, 13982, 338, 1810, 1405, 723, 2614, 856, 540, 14317, 2069, 563, 289, 269, 966, 1157, 19063, 793, 326, 600, 267, 631, 269, 631, 1794, 17427, 267, 918, 269, 590, 5576, 582, 577, 7615, 267, 631, 269, 595, 932, 1177, 2532, 328, 263, 1220, 280, 1070, 7150, 602, 5869, 514, 543, 13297, 3075, 616, 519, 2101, 1857, 1072, 1981, 2665, 6592, 538, 17111, 269, 5015, 789, 3136, 547, 1533, 689, 824, 4681, 267, 1063, 707, 1032, 476, 1960, 279, 543, 476, 1220, 277, 2043, 2282, 547, 476, 4968, 476, 1822, 2043, 941, 10805, 607, 10770, 3075, 705, 22852, 538, 17111, 269, 769, 1063, 519, 1296, 476, 1960, 279, 268, 1220, 277, 5869, 514, 729, 519, 3119, 3119, 3075, 26884, 1472, 476, 7830, 269, 476, 277, 260, 540, 891, 941, 10805, 269, 1656, 713, 3361, 513, 1292, 6161, 585, 519, 14570, 1014, 2229, 607, 621, 1291, 547, 22705, 25973, 538, 1514, 476, 1571, 899, 4155, 10913, 607, 1134, 607, 519, 4473, 538, 7486, 19432, 607, 519, 3075, 705, 22852, 3838, 519, 1482, 13549, 8754, 519, 3262, 540, 519, 3644, 729, 13251, 563, 8601, 519, 14570, 1014, 7453, 1876, 593, 946, 540, 1996, 519, 1876, 5061, 1004, 1869, 3136, 20406, 547, 946, 519, 796, 32016, 5061, 543, 849, 723, 1256, 13984, 606, 6708, 540, 1818, 621, 883, 606, 13055, 547, 8804, 741, 6197, 269, 22769, 5693, 2829, 602, 24455, 1369, 15896, 540, 693, 2547, 476, 1428, 10101, 540, 5869, 514, 267, 476, 1220, 10101, 540, 15267, 568, 16912, 539, 269, 634, 2817, 10684, 10837, 267, 17111, 538, 476, 1220, 277, 1472, 476, 2420, 267, 476, 279, 1556, 5061, 3755, 729, 6592, 543, 476, 1321, 267, 476, 25396, 540, 7247, 941, 10956, 25476, 269, 769, 1840, 789, 2566, 602, 519, 2698, 7274, 540, 3075, 3755, 6592, 585, 519, 942, 540, 476, 1960, 279, 268, 1220, 277, 568, 476, 4968, 267, 476, 25240, 1004, 799, 13054, 547, 693, 2547, 835, 476, 272, 269, 476, 272, 260, 540, 519, 14570, 1014, 781, 2551, 563, 6224, 22790, 476, 274, 281, 631, 24518, 7495, 13256, 454, 274, 269, 476, 272, 4985, 454, 763, 4367, 8711, 519, 9623, 4015, 2409, 602, 723, 1044, 1031, 547, 27043, 1344, 799, 13087, 721, 547, 3914, 938, 3932, 269, 2290, 540, 519, 4105, 3344, 649, 6743, 883, 729, 519, 14496, 543, 10727, 540, 519, 1239, 4015, 2409, 602, 1004, 4956, 547, 946, 563, 1103, 938, 1382, 649, 1336, 602, 519, 4998, 1239, 4015, 2409, 602, 1004, 666, 946, 616, 519, 18102, 543, 5967, 585, 2079, 454, 9223, 3534, 2231, 616, 5393, 1942, 2500, 950, 3379, 547, 3068, 3562, 19904, 11042, 269, 901, 568, 2523, 3020, 585, 2090, 5473, 1804, 3732, 7306, 543, 1804, 13664, 2127, 269, 18838, 26830, 1831, 1256, 1447, 7199, 607, 519, 1297, 540, 1382, 2055, 4679, 269, 7726, 3534, 2231, 616, 2653, 547, 5659, 269, 4578, 7127, 543, 9184, 1637, 585, 3592, 782, 12220, 666, 581, 3362, 8737, 609, 1082, 2780, 3301, 15004, 269, 5272, 7853, 814, 1185, 930, 1995, 11264, 26830, 543, 789, 3622, 798, 711, 1118, 1004, 31536, 633, 7132, 789, 2569, 9186, 269, 634, 11001, 781, 1378, 8369, 4465, 1405, 3310, 519, 4431, 550, 547, 2626, 2055, 538, 513, 1978, 6073, 269, 1703, 616, 1100, 11913, 610, 3308, 10881, 547, 3310, 519, 4431, 550, 269, 1879, 513, 4431, 550, 11392, 513, 18102, 538, 519, 13875, 267, 646, 568, 2612, 9876, 547, 2347, 519, 18102, 593, 1010, 1378, 942, 2389, 762, 269, 9521, 824, 1382, 2409, 267, 519, 4431, 550, 568, 711, 29169, 676, 519, 1382, 6293, 563, 5278, 540, 1946, 26830, 616, 4922, 1031, 607, 1239, 4015, 1505, 538, 5359, 543, 3785, 538, 519, 4890, 1249, 602, 519, 6114, 616, 10356, 538, 513, 3044, 2213, 1259, 865, 2055, 786, 581, 811, 6662, 267, 6157, 811, 865, 982, 11042, 267, 3622, 621, 568, 5266, 2656, 547, 18645, 1344, 1210, 26830, 543, 1344, 666, 581, 6394, 689, 513, 5458, 6712, 540, 606, 3919, 563, 2690, 938, 1382, 513, 18102, 267, 2854, 1312, 538, 2296, 543, 30017, 16030, 589, 274, 2450, 3817, 729, 2366, 547, 1114, 8041, 5924, 1146, 3074, 602, 723, 1044, 16761, 547, 2626, 621, 269, 634, 3119, 9115, 540, 519, 18102, 3769, 3248, 268, 10644, 540, 3075, 6057, 454, 268, 20895, 3906, 7829, 3075, 6057, 1966, 454, 268, 2382, 6627, 2126, 15961, 585, 3075, 705, 22852, 454, 268, 20895, 3075, 1852, 4031, 454, 11328, 1613, 338, 616, 849, 835, 540, 519, 1034, 10375, 2081, 540, 1239, 4015, 585, 5359, 3785, 543, 13753, 607, 789, 1683, 1101, 1688, 1344, 689, 519, 5330, 550, 269, 634, 5967, 568, 849, 8465, 538, 519, 2094, 602, 1246, 5346, 2055, 666, 581, 4280, 267, 849, 9355, 540, 519, 2243, 666, 581, 1500, 952, 519, 4431, 550, 786, 711, 1174, 269, 9282, 621, 814, 11566, 5383, 835, 540, 922, 2101, 2042, 6148, 602, 519, 5330, 550, 949, 1745, 1175, 899, 21183, 547, 2285, 856, 1344, 543, 538, 602, 2013, 519, 5967, 518, 666, 4194, 519, 1966, 676, 1028, 1005, 519, 5330, 550, 602, 8726, 646, 24172, 814, 1044, 26906, 585, 786, 581, 2808, 14804, 1100, 2339, 1018, 269, 1280, 938, 1382, 267, 11042, 941, 5342, 609, 519, 4143, 8041, 5924, 1146, 3074, 269, 17616, 649, 1305, 606, 13393, 609, 873, 543, 26655, 873, 540, 938, 6859, 563, 9827, 1284, 2052, 20644, 2336, 268, 21261, 894, 1557, 454, 268, 7454, 2852, 3594, 454, 268, 16179, 2688, 3594, 2228, 454, 268, 16179, 1557, 2228, 454, 268, 4258, 777, 1557, 454, 268, 4258, 777, 1557, 1603, 3028, 454, 268, 4258, 777, 1603, 3028, 454, 268, 5441, 1557, 454, 268, 5441, 1557, 4367, 454, 268, 5441, 1557, 1603, 3028, 454, 268, 14424, 543, 4334, 1557, 454, 268, 11426, 1557, 454, 268, 11426, 1557, 1603, 3028, 454, 268, 11426, 3594, 1603, 2533, 454, 268, 12280, 15163, 1557, 454, 268, 1684, 1250, 1557, 454, 268, 4828, 827, 2648, 454, 268, 4828, 827, 3054, 454, 268, 4828, 948, 454, 268, 4828, 1603, 948, 454, 268, 4828, 1603, 3028, 8039, 454, 268, 10749, 2228, 454, 268, 16258, 1426, 1557, 454, 268, 6723, 610, 6202, 3594, 454, 268, 5274, 2924, 1557, 454, 268, 21931, 1557, 454, 268, 9796, 547, 2328, 1557, 454, 268, 9608, 1557, 585, 2852, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 946, 873, 538, 10897, 675, 7913, 3828, 1231, 563, 288, 3578, 1681, 707, 1378, 23835, 3098, 454, 2252, 972, 781, 1100, 4540, 2872, 23835, 1108, 602, 10742, 707, 2115, 267, 596, 666, 2141, 1020, 707, 1378, 2688, 667, 307, 13036, 23835, 3098, 689, 15072, 269, 1452, 666, 581, 6273, 676, 10858, 2872, 4441, 267, 610, 1022, 824, 1344, 602, 781, 4143, 547, 707, 1870, 563, 2690, 1344, 827, 8888, 1367, 3631, 267, 1519, 782, 519, 4610, 789, 2270, 543, 875, 547, 2278, 873, 538, 667, 307, 13036, 267, 1294, 667, 307, 13036, 3631, 563, 17359, 2203, 1646, 2619, 454, 5591, 2339, 799, 4640, 596, 3442, 585, 8888, 610, 10128, 606, 23835, 1108, 883, 10897, 675, 7913, 3828, 1231, 267, 596, 666, 1246, 519, 2347, 2619, 2630, 547, 3391, 596, 998, 2870, 543, 14202, 532, 707, 23835, 1108, 607, 667, 307, 13036, 3631, 563, 268, 3399, 676, 17265, 543, 1620, 667, 307, 13036, 9781, 538, 10897, 675, 7913, 3828, 1231, 563, 268, 1160, 3865, 609, 707, 6074, 23835, 1108, 4640, 281, 9772, 267, 6460, 267, 8831, 267, 610, 2278, 707, 3631, 1759, 593, 519, 2115, 540, 707, 3070, 543, 2872, 563, 268, 4406, 28371, 707, 3631, 547, 13182, 789, 2811, 2324, 667, 307, 13036, 6054, 563, 268, 772, 22744, 707, 8737, 3631, 547, 10897, 675, 7913, 3828, 1231, 267, 1210, 519, 29026, 610, 513, 3732, 899, 519, 10897, 675, 7913, 3828, 1231, 2203, 14202, 518, 563, 5629, 707, 3631, 723, 1044, 23345, 547, 519, 3028, 267, 596, 666, 2483, 268, 10439, 1125, 519, 3631, 538, 707, 23835, 1108, 1210, 519, 2203, 3113, 538, 10897, 675, 7913, 3828, 1231, 25817, 563, 268, 28509, 873, 593, 606, 5571, 4493, 267, 1519, 13098, 1324, 3631, 538, 3009, 267, 21130, 3631, 267, 543, 18111, 1154, 3631, 267, 1210, 519, 5528, 538, 28509, 667, 307, 13036, 3631, 563, 268, 2422, 519, 3631, 547, 1711, 3059, 21054, 543, 513, 18618, 3113, 563, 5649, 811, 827, 519, 2994, 540, 12561, 267, 14178, 267, 543, 14291, 4540, 23835, 3098, 912, 7775, 267, 1451, 827, 875, 3631, 616, 1031, 547, 1711, 3059, 21054, 281, 7913, 21054, 543, 519, 18618, 3113, 269, 0, 6124, 6792, 538, 476, 4489, 278, 1185, 1831, 835, 540, 519, 1101, 2829, 538, 519, 772, 2529, 269, 547, 12689, 2244, 5619, 832, 267, 855, 676, 476, 4350, 271, 621, 729, 1869, 835, 540, 8938, 14633, 711, 15725, 519, 2259, 540, 8030, 269, 634, 1007, 7022, 540, 519, 2160, 540, 1715, 6792, 267, 6276, 674, 269, 2098, 20810, 2006, 267, 538, 1010, 4674, 547, 2981, 6167, 300, 883, 513, 2101, 6280, 267, 5116, 513, 1164, 10862, 593, 519, 10661, 540, 606, 26886, 4702, 2852, 269, 1677, 948, 1864, 3035, 602, 3804, 646, 5828, 547, 7905, 16910, 549, 327, 693, 519, 2160, 540, 14967, 563, 11990, 32126, 16910, 549, 327, 729, 4535, 538, 23885, 267, 14967, 593, 4989, 476, 3066, 267, 476, 6942, 279, 269, 1261, 13984, 24759, 2355, 5441, 543, 21783, 538, 476, 5002, 274, 689, 966, 6387, 321, 2830, 2160, 609, 519, 4110, 540, 25328, 540, 7177, 269, 769, 476, 5002, 276, 646, 8678, 519, 12200, 540, 519, 2160, 540, 14967, 1141, 689, 476, 4489, 276, 2394, 476, 4350, 271, 646, 729, 25760, 540, 519, 3427, 540, 7177, 269, 2334, 1032, 2797, 13542, 693, 2048, 302, 548, 7323, 685, 3361, 1864, 547, 4734, 543, 646, 7608, 519, 2990, 540, 7905, 543, 10361, 540, 519, 6406, 7177, 4972, 693, 6167, 300, 563, 17829, 945, 6785, 7905, 16910, 549, 327, 1767, 602, 646, 1185, 513, 17512, 881, 2631, 540, 4743, 538, 2543, 547, 7881, 543, 3318, 1143, 269, 769, 1715, 6792, 646, 2968, 519, 6117, 3196, 538, 3478, 513, 14261, 1876, 21892, 269, 634, 1876, 13886, 281, 1323, 957, 547, 10038, 519, 2853, 540, 3318, 4702, 543, 2244, 5619, 532, 729, 5293, 676, 519, 3557, 22694, 1155, 543, 2968, 2500, 2904, 476, 2420, 267, 476, 4350, 276, 269, 1280, 1010, 3646, 547, 5150, 8574, 540, 519, 9086, 7905, 16910, 549, 327, 729, 28165, 676, 1373, 13752, 14261, 15149, 3143, 269, 476, 272, 267, 513, 1469, 602, 646, 4749, 1644, 609, 9645, 11348, 563, 763, 2920, 27618, 519, 2025, 8274, 540, 24167, 11752, 832, 543, 2813, 513, 8274, 540, 32310, 585, 12333, 19296, 543, 8092, 11752, 832, 9967, 540, 2947, 2818, 281, 1614, 3318, 8030, 267, 835, 2244, 5619, 528, 267, 543, 519, 3557, 23910, 269, 7905, 16910, 549, 327, 2968, 922, 1101, 28579, 267, 606, 5604, 646, 4371, 2394, 4864, 476, 736, 267, 476, 3707, 273, 563, 1103, 922, 1101, 1032, 540, 5106, 630, 2863, 559, 4873, 476, 1789, 267, 476, 4350, 277, 264, 519, 1007, 8274, 11292, 476, 23714, 27121, 267, 5097, 896, 519, 22516, 16083, 269, 4107, 8030, 941, 849, 13931, 607, 5619, 832, 855, 17288, 5991, 710, 27121, 941, 11292, 585, 700, 306, 1152, 269, 634, 1101, 2854, 18362, 941, 2016, 538, 13244, 3171, 593, 5181, 476, 1321, 267, 476, 4350, 277, 267, 543, 540, 519, 1079, 4983, 525, 267, 606, 11653, 543, 513, 2244, 5619, 528, 267, 1152, 519, 5619, 528, 5293, 519, 1449, 269, 3683, 519, 1985, 4557, 1296, 519, 8274, 13931, 12422, 827, 13977, 1007, 4648, 563, 23178, 16910, 549, 327, 5156, 602, 281, 834, 763, 1967, 610, 5821, 540, 938, 1876, 2560, 786, 581, 5462, 676, 519, 10805, 8030, 543, 2244, 5619, 832, 2933, 1701, 7324, 824, 1919, 713, 2882, 519, 2384, 532, 540, 519, 3924, 269, 769, 3210, 547, 513, 24255, 267, 519, 1032, 476, 3707, 272, 4718, 519, 1101, 2847, 6327, 540, 513, 12689, 585, 22424, 564, 775, 269, 1879, 538, 476, 4198, 275, 513, 12689, 2847, 6327, 729, 3045, 592, 1194, 538, 10588, 7040, 267, 519, 8274, 4300, 4705, 543, 519, 1715, 6792, 10966, 7040, 593, 5147, 476, 1428, 267, 476, 4198, 276, 16765, 29354, 519, 2539, 5480, 543, 12199, 796, 29434, 3585, 538, 519, 8274, 779, 3870, 563, 1103, 476, 4198, 278, 519, 23328, 9450, 519, 6392, 540, 519, 8274, 543, 849, 17515, 519, 10421, 602, 835, 4759, 540, 519, 8274, 1590, 581, 519, 3557, 23910, 269, 8092, 11752, 832, 1223, 581, 10805, 676, 23596, 618, 543, 27121, 17735, 585, 909, 547, 835, 1032, 269, 1635, 476, 3192, 272, 1896, 7262, 2829, 1185, 7550, 811, 22608, 12689, 4170, 543, 30403, 547, 5431, 1715, 6792, 779, 2244, 5619, 528, 14261, 607, 6697, 547, 741, 1378, 269, 634, 8274, 2746, 539, 676, 8744, 621, 779, 4170, 538, 1899, 609, 922, 12543, 267, 12561, 513, 28465, 16923, 6514, 1141, 1614, 856, 540, 519, 2185, 2694, 616, 7677, 1639, 676, 519, 2817, 7027, 540, 7177, 1401, 3133, 619, 269, 634, 7177, 6657, 2920, 729, 29567, 1586, 676, 519, 476, 3192, 278, 23328, 547, 1683, 585, 519, 1840, 540, 1614, 2244, 5619, 528, 2818, 547, 519, 8274, 267, 7551, 2810, 621, 689, 2947, 547, 5216, 2818, 269, 769, 476, 3192, 280, 513, 1857, 4759, 729, 3773, 269, 2991, 1776, 1689, 538, 476, 1960, 274, 519, 8274, 1631, 5161, 540, 2947, 3318, 8030, 267, 1614, 3318, 5619, 832, 267, 543, 1079, 1857, 2818, 563, 23178, 16910, 549, 327, 19622, 689, 6167, 300, 538, 476, 3707, 274, 543, 8120, 547, 14967, 1141, 646, 5747, 538, 13323, 1636, 593, 2904, 476, 272, 267, 476, 3422, 272, 269, 2311, 519, 4266, 540, 713, 1603, 630, 19751, 476, 1960, 280, 264, 513, 2698, 540, 476, 1691, 267, 277, 3451, 12333, 19296, 543, 5924, 12333, 11752, 832, 723, 1044, 13931, 547, 2259, 538, 1715, 6792, 267, 782, 540, 873, 1107, 2991, 16910, 549, 327, 269, 0, 2750, 10262, 540, 519, 17030, 269, 17421, 281, 4179, 2517, 4178, 3052, 821, 5976, 12847, 2106, 985, 2593, 13478, 534, 29930, 32667, 5174, 659, 5025, 313, 454, 2026, 5053, 21152, 6410, 5087, 2429, 1018, 568, 4867, 1634, 2221, 607, 6792, 267, 909, 998, 14151, 267, 789, 941, 3168, 585, 1007, 2244, 547, 3409, 543, 4434, 519, 5053, 5692, 269, 634, 20908, 7057, 941, 538, 3406, 540, 1007, 17260, 585, 13485, 543, 8694, 909, 2870, 513, 5832, 540, 13485, 2429, 519, 12312, 528, 534, 13738, 2039, 269, 634, 5842, 2473, 32667, 5548, 2349, 4545, 729, 8547, 538, 476, 10204, 271, 676, 12429, 661, 2224, 321, 1470, 918, 3626, 267, 513, 812, 25461, 676, 519, 20908, 7057, 547, 3262, 8567, 547, 1007, 8050, 269, 12429, 918, 3626, 729, 4535, 538, 8832, 7977, 593, 4864, 476, 1015, 267, 476, 13932, 276, 269, 1261, 8452, 538, 14151, 267, 1287, 3459, 3695, 519, 2244, 602, 568, 1631, 5842, 2473, 32667, 1642, 645, 659, 17030, 269, 14716, 540, 519, 5939, 3459, 538, 476, 9965, 274, 543, 729, 6192, 538, 476, 9692, 278, 269, 634, 17030, 568, 1419, 5219, 547, 607, 519, 3043, 798, 557, 540, 519, 9390, 267, 10223, 519, 6505, 3043, 588, 25458, 334, 9096, 609, 519, 6960, 9390, 4282, 269, 898, 729, 3957, 585, 14731, 2473, 32667, 267, 513, 4168, 29966, 563, 763, 8978, 19506, 568, 4092, 476, 280, 5195, 5045, 540, 25708, 570, 1075, 5459, 267, 593, 519, 1677, 327, 517, 334, 744, 685, 617, 5069, 5842, 2473, 32667, 4095, 1763, 3569, 269, 898, 568, 1175, 1055, 540, 3955, 8063, 476, 866, 630, 1410, 527, 476, 10844, 1916, 293, 1430, 661, 2224, 321, 1470, 918, 3626, 8547, 519, 5842, 2473, 32667, 17030, 267, 4098, 4070, 538, 476, 10204, 271, 267, 1498, 519, 5939, 729, 2760, 6192, 269, 1261, 729, 513, 20908, 3726, 543, 3459, 4070, 540, 519, 1101, 5692, 5939, 593, 4989, 476, 2764, 267, 476, 10204, 271, 269, 769, 476, 12293, 278, 267, 8176, 8633, 540, 8050, 17049, 519, 20908, 7057, 689, 519, 5053, 3338, 538, 3013, 543, 8704, 8071, 4593, 753, 547, 581, 538, 5279, 540, 519, 5692, 269, 2991, 930, 21944, 6285, 676, 519, 28833, 14316, 267, 519, 5692, 729, 32206, 1063, 476, 9965, 274, 543, 476, 9692, 278, 676, 18971, 20844, 645, 2246, 16695, 20653, 1457, 1778, 543, 20844, 645, 2246, 16695, 24510, 648, 333, 345, 269, 634, 1259, 891, 2367, 941, 2111, 547, 6488, 547, 25580, 519, 5939, 568, 676, 1210, 2724, 24603, 676, 12312, 528, 534, 678, 4545, 1667, 269, 5221, 540, 782, 540, 519, 2199, 1489, 20844, 645, 2246, 16695, 20653, 1457, 1778, 267, 543, 20844, 645, 2246, 16695, 24510, 648, 333, 345, 941, 2111, 547, 16926, 519, 4056, 22695, 659, 1470, 12821, 7431, 543, 513, 1804, 960, 3196, 540, 744, 262, 617, 5069, 547, 1711, 519, 1459, 5939, 269, 12429, 1325, 517, 810, 25385, 514, 6242, 9112, 519, 3312, 20908, 3726, 5939, 540, 519, 17030, 5842, 2473, 32667, 1310, 1010, 12625, 538, 476, 11260, 7830, 269, 901, 5939, 729, 6192, 538, 476, 12293, 273, 282, 519, 6821, 941, 28889, 601, 539, 676, 519, 8071, 4593, 753, 609, 3773, 6149, 543, 18654, 27341, 6821, 267, 621, 568, 849, 2009, 602, 519, 19683, 941, 759, 584, 325, 3166, 269, 901, 5939, 267, 2705, 267, 568, 1100, 3476, 7555, 268, 621, 729, 24905, 1194, 543, 1065, 584, 12723, 585, 519, 2679, 540, 519, 1699, 7555, 5939, 1063, 476, 9965, 272, 543, 476, 6245, 278, 676, 12429, 20653, 1457, 1778, 269, 21674, 28741, 21081, 329, 517, 9112, 513, 8774, 538, 519, 2038, 476, 736, 628, 2540, 799, 5594, 6772, 11474, 609, 519, 3312, 476, 12293, 273, 5939, 268, 519, 8774, 781, 7178, 3774, 729, 9788, 593, 1283, 540, 519, 7532, 3774, 540, 519, 476, 12293, 273, 5939, 273, 563, 763, 17030, 5842, 2473, 32667, 1642, 645, 659, 729, 851, 540, 513, 3060, 540, 5053, 20616, 17260, 538, 519, 623, 25534, 17144, 1325, 3279, 267, 2059, 609, 519, 17030, 5842, 4864, 514, 543, 3465, 573, 1470, 1642, 570, 1075, 5459, 269, 1452, 1614, 17260, 941, 3238, 538, 519, 5053, 7276, 781, 4674, 547, 20882, 6805, 1004, 547, 7017, 267, 6460, 547, 30871, 267, 543, 9772, 513, 5053, 26049, 1259, 540, 1272, 269, 1452, 17260, 941, 2356, 2196, 676, 20908, 3726, 610, 519, 8071, 4593, 534, 2003, 1513, 267, 2870, 7269, 540, 5053, 3864, 2528, 543, 3310, 2429, 1007, 3338, 269, 1452, 13485, 1185, 13922, 543, 13821, 547, 6460, 519, 5065, 4892, 547, 8567, 1306, 6202, 607, 17104, 1125, 873, 269, 17030, 2456, 4547, 30042, 2831, 883, 519, 3830, 267, 1519, 13265, 267, 9640, 267, 16933, 267, 14918, 267, 23161, 267, 543, 17944, 272, 269, 12429, 12138, 14943, 4618, 328, 23266, 1221, 519, 2831, 6854, 693, 519, 3312, 5692, 538, 476, 15876, 278, 267, 799, 3769, 476, 13301, 12418, 267, 476, 5611, 13265, 267, 476, 2004, 23161, 267, 476, 1015, 9640, 267, 476, 275, 544, 4100, 267, 543, 476, 273, 544, 2737, 273, 563, 7437, 519, 9393, 787, 2853, 693, 519, 13485 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 533, 568, 513, 2318, 8870, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1018, 568, 519, 5506, 602, 7117, 2999, 476, 271, 888, 288, 269, 476, 272, 270, 1015, 454, 289, 269, 476, 272, 270, 276, 454, 290, 269, 476, 273, 270, 276, 454, 291, 269, 476, 274, 270, 276, 454, 292, 269, 476, 274, 270, 1015, 692, 11693, 281, 3230, 335, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 2330, 815, 7117, 267, 476, 272, 283, 533, 2999, 476, 1015, 454, 26473, 1600, 281, 17438, 540, 7117, 2999, 476, 271, 692, 2330, 335, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 2330, 815, 630, 335, 910, 279, 7565, 335, 268, 276, 264, 815, 7117, 692, 2171, 991, 7117, 2999, 476, 271, 454, 17798, 454, 9638, 910, 276, 7565, 335, 268, 279, 264, 2999, 476, 271, 692, 17798, 476, 276, 283, 533, 2999, 476, 279, 563, 18744, 1079, 7533, 2418, 9114, 538, 519, 2039, 281, 476, 277, 543, 476, 278, 692, 23536, 1464, 815, 476, 273, 270, 1015, 815, 476, 272, 270, 276, 454, 29682, 645, 780, 306, 6295, 606, 8635, 609, 513, 1447, 982, 1129, 912, 763, 1871, 540, 519, 4756, 786, 581, 3152, 982, 519, 4130, 1871, 543, 4130, 982, 519, 3152, 1871, 563, 328, 4318, 269, 898, 786, 9114, 1063, 519, 26037, 780, 306, 6295, 606, 8635, 609, 513, 3152, 982, 1129, 912, 763, 1871, 540, 519, 4756, 786, 581, 4130, 982, 519, 4130, 1871, 543, 3152, 982, 519, 3152, 1871, 563, 328, 4318, 269, 898, 666, 1491, 782, 519, 2418, 4849, 519, 2418, 538, 519, 2039, 563, 12421, 454, 16274, 281, 476, 5400, 4924, 476, 1001, 276, 454, 15803, 281, 476, 1724, 454, 29479, 476, 272, 281, 476, 20981, 1627, 5379, 966, 4097, 454, 29479, 476, 273, 281, 476, 30663, 1627, 3393, 966, 1789, 454, 29479, 476, 274, 281, 476, 10384, 1627, 3393, 966, 2412, 454, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1724, 3967, 476, 1001, 278, 267, 476, 2641, 281, 6812, 454, 763, 13392, 3830, 1223, 581, 9450, 547, 630, 335, 268, 276, 7565, 335, 268, 279, 6661, 336, 454, 2252, 533, 568, 513, 4759, 540, 519, 1305, 1496, 272, 267, 1015, 3910, 533, 1223, 581, 835, 540, 519, 476, 1015, 5079, 780, 763, 3830, 630, 335, 268, 276, 7565, 335, 268, 279, 264, 786, 960, 856, 547, 2999, 476, 271, 585, 519, 2039, 630, 276, 267, 279, 1040, 634, 9981, 1063, 476, 276, 543, 476, 279, 12600, 616, 476, 277, 543, 476, 278, 780, 763, 5506, 602, 7117, 2999, 271, 815, 5506, 9638, 815, 476, 276, 610, 533, 815, 476, 279, 568, 5697, 264, 815, 476, 273, 270, 1015, 815, 476, 272, 270, 276, 454, 17445, 528, 454, 16274, 281, 476, 2918, 4239, 476, 1001, 277, 454, 15803, 281, 476, 2568, 273, 454, 19613, 281, 2136, 2276, 454, 18662, 338, 281, 670, 7034, 1412, 866, 454, 29479, 476, 272, 281, 476, 278, 3583, 1627, 7906, 966, 4510, 454, 294, 5183, 281, 476, 275, 454, 25446, 281, 4065, 630, 19733, 994, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1724, 3057, 476, 1001, 278, 267, 476, 6734, 281, 4510, 454, 272, 454, 335, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 454, 9638, 1107, 476, 279, 7565, 335, 1107, 476, 276, 264, 815, 7117, 454, 2690, 533, 815, 476, 276, 543, 533, 815, 476, 279, 267, 7117, 815, 476, 271, 269, 9737, 533, 815, 476, 276, 543, 533, 815, 476, 279, 267, 7117, 814, 513, 2942, 1129, 267, 607, 630, 335, 1107, 476, 279, 264, 568, 2942, 543, 630, 335, 1107, 476, 276, 264, 568, 2318, 269, 2060, 513, 2698, 540, 476, 1015, 2009, 8870, 533, 2418, 267, 1152, 1079, 630, 335, 815, 476, 277, 543, 533, 815, 476, 278, 264, 2887, 538, 519, 2039, 476, 276, 2999, 533, 2999, 476, 279, 267, 865, 519, 5506, 568, 476, 273, 270, 1015, 610, 476, 272, 270, 276, 563, 6303, 29390, 12552, 1299, 3204, 1841, 2676, 2304, 2967, 571, 631, 3558, 454, 307, 13759, 4530, 16721, 11724, 894, 454, 1805, 9850, 281, 674, 10133, 1299, 16628, 454, 288, 742, 8270, 725, 281, 27010, 4530, 16721, 454, 16274, 281, 476, 1691, 4239, 476, 1001, 276, 454, 15803, 281, 476, 279, 1321, 276, 454, 19613, 281, 2136, 2276, 630, 7563, 994, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1428, 3057, 476, 1001, 278, 267, 476, 1626, 281, 3393, 454, 2304, 18145, 298, 5206, 912, 2252, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1018, 568, 519, 5506, 602, 7117, 2999, 476, 271, 888, 288, 269, 476, 272, 270, 1015, 454, 289, 269, 476, 272, 270, 276, 454, 290, 269, 476, 273, 270, 276, 454, 291, 269, 476, 274, 270, 276, 454, 292, 269, 476, 274, 270, 1015, 692, 2171, 666, 3815, 519, 2016, 3830, 1384, 335, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 692, 9638, 910, 476, 276, 7565, 335, 910, 476, 279, 264, 815, 7117, 692, 2171, 1294, 602, 538, 1931, 585, 7117, 547, 581, 2942, 267, 2901, 630, 335, 910, 476, 276, 264, 568, 2942, 543, 630, 335, 910, 476, 279, 264, 568, 2318, 10758, 630, 335, 910, 476, 276, 264, 568, 2318, 543, 630, 335, 910, 476, 279, 264, 568, 2942, 780, 22860, 4506, 938, 4082, 513, 3787, 2417, 267, 649, 1294, 602, 621, 1152, 7472, 513, 2942, 1587, 950, 533, 815, 476, 277, 543, 533, 815, 476, 278, 780, 13295, 267, 519, 5506, 602, 7117, 2999, 476, 271, 568, 476, 273, 270, 1015, 815, 476, 272, 270, 276, 780, 6303, 318, 692, 258, 8845, 8381, 12064, 4149, 974, 23702, 692, 293, 10133, 543, 16628, 692, 9928, 2714, 287, 307, 13759, 14818, 7093, 335, 2593, 454, 14338, 17352, 692, 276, 3613, 541, 15951, 2228, 17918, 3067, 454, 1345, 1353, 1576, 692, 8450, 1946, 27010, 4530, 16721, 568, 519, 1283, 15951, 17918, 3067, 1576, 593, 17918, 11833, 269, 3367, 3776, 17352, 692, 2252, 596, 1265, 835, 540, 1250, 9708, 5363, 267, 5225, 1491, 513, 4090, 547, 4945, 593, 519, 834, 20132, 257, 7735, 780, 12421, 454, 16274, 281, 476, 2537, 7325, 476, 1001, 274, 454, 15803, 281, 476, 1691, 454, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 2420, 7325, 476, 1001, 279, 267, 476, 866, 281, 6078, 454, 272, 454, 289, 684, 3241, 5206, 912, 9223, 6410, 547, 13662, 1016, 27917, 332, 780, 2252, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1018, 568, 519, 5506, 602, 7117, 2999, 476, 271, 888, 288, 269, 476, 272, 270, 1015, 454, 289, 269, 476, 272, 270, 276, 454, 290, 269, 476, 273, 270, 276, 454, 291, 269, 476, 274, 270, 276, 454, 292, 269, 476, 274, 270, 1015, 692, 2330, 335, 317, 273, 268, 1724, 335, 266, 2412, 14352, 335, 268, 276, 7565, 335, 268, 279, 14638, 25341, 3230, 335, 317, 273, 268, 1724, 335, 266, 2412, 283, 271, 2330, 585, 3230, 276, 283, 335, 283, 279, 2330, 912, 16920, 16670, 912, 5960, 303, 276, 1691, 866, 1030, 1704, 326, 279, 577, 326, 279, 326, 276, 577, 1822, 6349, 326, 279, 698, 274, 327, 272, 9346, 278, 756, 2465, 271, 3052, 604, 454, 3086, 267, 607, 3230, 335, 2330, 568, 606, 8870, 1287, 3230, 335, 317, 273, 268, 1724, 335, 266, 2412, 284, 336, 283, 271, 2330, 585, 1079, 2418, 540, 3230, 335, 2330, 856, 540, 476, 1015, 281, 476, 277, 543, 476, 278, 267, 799, 1797, 602, 281, 3230, 303, 7807, 2765, 346, 273, 2410, 1015, 18098, 2765, 346, 272, 2410, 276, 6525, 780, 12552, 585, 6029, 519, 7778, 1210, 519, 29236, 645, 684, 3241, 780, 24078, 8049, 547, 1174, 875, 786, 621, 1413, 899, 952, 585, 19838, 519, 2243, 2322, 519, 2783, 540, 7117, 285, 271, 269, 769, 602, 2013, 267, 519, 13392, 1131, 2490, 856, 547, 581, 630, 335, 268, 279, 7565, 335, 268, 276, 264, 3436, 476, 271, 269, 769, 971, 513, 2013, 519, 29236, 786, 1930, 18746, 855, 1287, 875, 798, 649, 1118, 713, 856, 607, 519, 3586, 513, 630, 514, 513, 265, 335, 317, 273, 264, 568, 538, 1022, 2013, 1341, 557, 10756, 25938, 1640, 15440, 454, 16274, 281, 476, 6860, 4119, 476, 1001, 271, 454, 15803, 281, 476, 5325, 278, 454, 18662, 338, 281, 667, 691, 17625, 5441, 454, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6021, 9484, 476, 1001, 280, 267, 476, 6734, 281, 5379, 454, 2304, 18145, 298, 5206, 912, 2252, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1018, 568, 519, 5506, 602, 7117, 2999, 476, 271, 888, 288, 269, 476, 272, 270, 1015, 454, 289, 269, 476, 272, 270, 276, 454, 290, 269, 476, 273, 270, 276, 454, 291, 269, 476, 274, 270, 276, 454, 292, 269, 476, 274, 270, 1015, 692, 335, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 815, 476, 271, 454, 9638, 268, 276, 7565, 335, 268, 279, 264, 815, 476, 271, 692, 763, 595, 6020, 22310, 18161, 2562, 4811, 616, 533, 284, 276, 543, 533, 284, 279, 563, 18744, 693, 891, 1079, 2565, 2798, 1281, 533, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 815, 476, 271, 563, 2414, 3313, 519, 9832, 538, 799, 533, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 2999, 476, 271, 267, 1449, 835, 1871, 547, 519, 2451, 543, 1318, 540, 1142, 2565, 1448, 780, 2467, 616, 1614, 9832, 547, 2015, 912, 335, 2999, 476, 276, 267, 476, 276, 2999, 533, 2999, 476, 279, 267, 533, 3436, 476, 279, 454, 2252, 533, 284, 271, 610, 533, 284, 1911, 267, 1287, 533, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 568, 5693, 24321, 2969, 2207, 982, 476, 271, 267, 31552, 602, 533, 283, 276, 543, 533, 285, 279, 616, 711, 14323, 9832, 563, 3412, 6473, 912, 763, 1152, 14323, 2039, 568, 476, 276, 2999, 533, 2999, 476, 279, 563, 13295, 267, 540, 519, 476, 1015, 9981, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1152, 1079, 4534, 476, 277, 543, 476, 278, 4534, 786, 6556, 513, 2942, 585, 533, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 912, 11377, 2765, 346, 273, 2410, 1015, 348, 815, 1422, 2765, 346, 272, 2410, 276, 15732, 6303, 29390, 29479, 543, 24321, 570, 12460, 454, 7021, 476, 5197, 271, 13794, 454, 29479, 294, 15843, 29369, 287, 326, 21166, 2593, 454, 6124, 3840, 267, 12924, 454, 2252, 596, 1265, 835, 540, 1250, 9708, 5363, 267, 5225, 1491, 513, 4090, 547, 4945, 593, 519, 834, 20132, 257, 12835, 563, 13510, 9005, 585, 23468, 538, 12924, 290, 543, 1279, 26591, 563, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 5231, 1496, 258, 21529, 316, 476, 6021, 9484, 476, 1001, 280, 267, 476, 6734, 281, 5379, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 1012, 3245, 513, 667, 16244, 779, 21887, 692, 3849, 4784, 569, 267, 594, 917, 1360, 2370, 827, 782, 540, 519, 2930, 3344, 540, 1007, 751, 4582, 2888, 610, 1164, 12413, 6873, 8613, 630, 8461, 29552, 1070, 855, 594, 1705, 513, 1434, 3787, 540, 1382, 1247, 3843, 547, 6430, 799, 8613, 547, 4444, 269, 16593, 2685, 713, 3391, 786, 948, 930, 824, 1004, 609, 607, 2370, 2930, 1702, 827, 1007, 751, 4582, 2888, 607, 594, 723, 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 ]
[ 1079, 11708, 267, 3113, 476, 272, 543, 3113, 476, 273, 267, 799, 835, 4564, 513, 1305, 540, 1239, 609, 513, 3677, 3044, 11539, 286, 11512, 875, 547, 17589, 3044, 3339, 3892, 2016, 513, 1239, 1305, 269, 2353, 7126, 27616, 269, 634, 13852, 4354, 557, 281, 634, 3113, 540, 513, 3339, 3892, 568, 1634, 607, 513, 11350, 7455, 269, 1934, 568, 2347, 1305, 540, 476, 1911, 271, 266, 13038, 14893, 5999, 543, 12226, 267, 2776, 341, 910, 17438, 543, 10803, 5999, 543, 12226, 1107, 7313, 24480, 17392, 267, 8921, 910, 17438, 543, 10803, 5999, 543, 12226, 1107, 5890, 11228, 17392, 267, 22263, 5811, 5999, 543, 12226, 1107, 22263, 17992, 543, 1230, 23728, 267, 22263, 5811, 5999, 543, 12226, 1107, 12430, 16338, 12307, 543, 2098, 1107, 3690, 13257, 267, 17224, 517, 27658, 7177, 5999, 543, 12226, 267, 5450, 718, 17790, 7177, 5999, 543, 12226, 267, 25328, 540, 8950, 10241, 5999, 543, 12226, 267, 17224, 18209, 7177, 5999, 543, 12226, 267, 7177, 8212, 594, 5999, 543, 12226, 267, 16581, 7177, 5999, 543, 12226, 267, 2598, 4740, 9119, 5999, 543, 12226, 267, 18926, 10866, 6513, 5999, 543, 12226, 267, 10084, 14691, 6201, 593, 31592, 10819, 1299, 27122, 267, 595, 10030, 14691, 6201, 593, 31592, 10819, 1299, 27122, 267, 595, 14691, 6201, 593, 31592, 10819, 1299, 27122, 267, 7177, 9119, 5999, 543, 12226, 267, 15303, 2762, 543, 8416, 8232, 5999, 543, 12226, 267, 17438, 543, 10803, 5999, 543, 12226, 1107, 15214, 613, 6248, 20518, 1903, 269, 634, 1858, 896, 513, 3044, 3339, 7455, 568, 286, 513, 264, 20134, 769, 513, 3339, 3892, 519, 1611, 568, 4642, 543, 519, 3044, 11539, 568, 476, 272, 269, 769, 713, 2013, 267, 1210, 519, 3339, 3892, 6238, 693, 2942, 20581, 269, 634, 4463, 540, 513, 3339, 5860, 7455, 693, 513, 2016, 1448, 1535, 568, 2016, 676, 1547, 1411, 666, 1294, 593, 519, 11350, 7455, 602, 476, 272, 269, 5952, 332, 568, 476, 274, 3044, 24017, 689, 519, 1611, 540, 476, 272, 269, 275, 267, 865, 281, 2659, 3659, 781, 4463, 814, 513, 834, 345, 1606, 14537, 257, 540, 476, 274, 269, 271, 898, 568, 849, 2009, 547, 5173, 875, 1082, 3044, 2560, 546, 264, 595, 20654, 766, 12902, 476, 274, 543, 513, 3368, 593, 513, 3044, 5884, 568, 7543, 267, 543, 814, 5506, 4642, 1070, 713, 568, 711, 865, 538, 519, 2013, 540, 513, 6024, 4351, 4756, 269, 901, 2626, 814, 1044, 9672, 607, 2953, 543, 5363, 269, 1411, 666, 1689, 707, 740, 7375, 20471, 269, 589, 16453, 5860, 7455, 814, 799, 540, 519, 1739, 3601, 286, 769, 1840, 267, 519, 1611, 267, 11667, 543, 7154, 2049, 693, 519, 1482, 1448, 269, 18880, 585, 606, 12825, 4351, 4756, 2049, 538, 971, 513, 1259, 602, 972, 616, 7864, 1804, 2418, 543, 811, 1507, 2418, 269, 1677, 1294, 713, 267, 952, 4399, 3667, 346, 311, 348, 1422, 13678, 1422, 3667, 346, 308, 32710, 3667, 21151, 9574, 1422, 3667, 15830, 348, 7751, 543, 1269, 24560, 3667, 12757, 9574, 1422, 3667, 12757, 23180, 3667, 18097, 348, 316, 259, 568, 513, 1016, 5793, 1998, 540, 1269, 24560, 3667, 21151, 9574, 1422, 3667, 15830, 348, 316, 259, 609, 6378, 4399, 3667, 18097, 348, 285, 271, 8961, 1287, 267, 519, 4542, 3254, 281, 4399, 6234, 11513, 3667, 346, 325, 32710, 3667, 12757, 16585, 815, 1422, 8218, 26231, 1162, 348, 1422, 2765, 2715, 476, 272, 25452, 1422, 3667, 15830, 32757, 3667, 21151, 348, 7684, 1299, 315, 3667, 346, 1721, 7684, 1422, 3667, 21151, 4153, 548, 1422, 3667, 12757, 4153, 548, 1422, 3667, 15830, 348, 8607, 476, 271, 1299, 1422, 3667, 346, 604, 7684, 1422, 3667, 12757, 348, 31046, 1422, 3667, 346, 283, 348, 31046, 1422, 3667, 21151, 348, 31046, 1422, 3667, 346, 528, 348, 31046, 1422, 3667, 12757, 348, 31046, 1422, 3667, 346, 285, 348, 31046, 1422, 3667, 15830, 348, 1422, 754, 26231, 1162, 3686, 10608, 476, 277, 269, 272, 634, 9208, 16453, 17392, 16453, 17392, 1403, 513, 6024, 4351, 4756, 814, 513, 3892, 609, 513, 3113, 602, 568, 21136, 543, 11350, 11057, 267, 649, 2161, 602, 621, 814, 513, 3339, 3892, 269, 5999, 4280, 676, 519, 1482, 21233, 269, 546, 264, 711, 3989, 634, 6024, 7833, 3892, 568, 513, 1920, 540, 21136, 5506, 14778, 538, 799, 782, 11996, 540, 519, 1482, 3259, 616, 8449, 21483, 269, 634, 1858, 1657, 519, 4399, 3667, 12757, 4151, 268, 9471, 543, 896, 519, 7455, 1590, 3160, 835, 267, 609, 519, 1858, 896, 519, 7455, 8204, 519, 5506, 269, 2368, 540, 519, 3601, 540, 513, 3044, 3339, 3892, 616, 5018, 2630, 281, 634, 3339, 7455, 568, 21136, 827, 519, 1611, 543, 11350, 8032, 269, 634, 4463, 540, 513, 3339, 5860, 7455, 693, 513, 2016, 1448, 1535, 568, 2016, 676, 634, 7455, 568, 21136, 827, 519, 1611, 269, 9521, 513, 5506, 267, 513, 5506, 5860, 1599, 666, 1491, 593, 2418, 3152, 982, 835, 269, 634, 3948, 568, 7301, 269, 2290, 2601, 585, 741, 8560, 568, 519, 3844, 3970, 11532, 267, 799, 2829, 602, 630, 8974, 7646, 2175, 264, 519, 1611, 540, 513, 1804, 1297, 540, 4351, 4632, 10446, 6537, 689, 519, 1482, 3892, 568, 7856, 5111, 7363, 267, 28000, 540, 519, 1106, 540, 519, 3312, 3892, 269, 634, 1858, 568, 476, 271, 269, 11820, 274, 269, 634, 5860, 7455, 568, 513, 6366, 1899, 14178, 689, 519, 5934, 1871, 547, 519, 5021, 1871, 269, 634, 2451, 1034, 6241, 6645, 596, 875, 1082, 3044, 24017, 1657, 519, 519, 1611, 547, 476, 272, 8918, 1747, 269, 18040, 2969, 4959, 5990, 715, 3036, 300, 3201, 595, 7838, 12717, 901, 568, 950, 519, 1239, 568, 7856, 14961, 1472, 513, 1647, 1871, 269, 901, 1249, 4665, 919, 519, 3892, 779, 2012, 269, 630, 6758, 2421, 2998, 4355, 815, 6885, 269, 6758, 2421, 2998, 4355, 13466, 32582, 1040, 335, 2313, 20719, 348, 5148, 589, 6024, 5506, 3892, 568, 513, 6041, 540, 513, 4756, 602, 666, 1491, 513, 6024, 2039, 540, 2418, 269, 1924, 267, 952, 649, 31372, 585, 476, 1789, 7643, 543, 519, 1101, 12625, 4769, 1406, 4755, 630, 7445, 3667, 346, 307, 348, 285, 1789, 259, 1070, 519, 5506, 602, 649, 3580, 991, 547, 7227, 1776, 476, 1015, 7643, 585, 519, 1101, 12625, 630, 7445, 3667, 346, 307, 348, 285, 263, 1789, 266, 1015, 7751, 264, 568, 519, 1482, 607, 519, 3355, 5506, 602, 649, 991, 547, 7227, 811, 982, 476, 1015, 7643, 585, 519, 1101, 12625, 630, 7445, 3667, 346, 307, 348, 285, 1015, 259, 1040, 634, 1489, 568, 3989, 676, 519, 1079, 6724, 267, 4399, 3667, 21151, 4151, 543, 4399, 3667, 15830, 20954, 799, 616, 922, 5934, 543, 5021, 2418, 269, 901, 2013, 568, 2111, 547, 1267, 538, 2942, 2418, 585, 930, 540, 519, 2164, 269, 1411, 666, 1294, 593, 519, 11350, 7455, 602, 476, 272, 269, 5952, 332, 568, 476, 274, 3044, 24017, 689, 519, 1611, 540, 476, 272, 269, 275, 267, 865, 281, 2659, 3659, 781, 4463, 814, 513, 834, 345, 1606, 14537, 257, 540, 476, 274, 269, 271, 1547, 634, 1858, 896, 519, 3339, 3892, 7455, 4564, 5506, 543, 519, 2698, 1858, 896, 519, 7455, 18304, 547, 835, 269, 4399, 3667, 21151, 13157, 271, 259, 543, 4399, 3667, 15830, 13157, 1428, 10608, 1280, 1383, 267, 952, 649, 1616, 547, 917, 519, 5506, 602, 513, 4756, 568, 1100, 811, 982, 476, 271, 269, 7906, 3044, 24017, 1657, 519, 1611, 267, 649, 1265, 2824, 519, 476, 277, 628, 4737, 1524, 630, 14585, 22046, 532, 547, 476, 271, 269, 276, 264, 543, 519, 476, 273, 526, 6241, 630, 14585, 22046, 532, 547, 476, 271, 269, 4905, 1040, 3962, 3368, 540, 519, 3892, 568, 513, 11604, 3239, 540, 519, 824, 3368, 269, 10251, 267, 538, 1034, 2665, 538, 799, 519, 3339, 3892, 4249, 513, 1909, 267, 519, 1611, 568, 711, 476, 271, 543, 519, 3044, 11539, 568, 711, 476, 272, 269, 634, 1739, 568, 1776, 2241, 1383, 281, 1265, 4399, 3667, 346, 303, 32710, 3667, 346, 313, 4153, 28254, 476, 272, 269, 1704, 30879, 19626, 25760, 543, 22526, 19129, 869, 20391, 267, 23120, 15932, 25159, 281, 634, 31538, 17392, 269, 634, 3339, 7455, 568, 513, 21136, 3892, 609, 835, 8445, 267, 799, 1797, 519, 1611, 267, 11667, 267, 543, 7154, 616, 782, 3160, 269, 901, 1797, 602, 1034, 540, 519, 4767, 1239, 568, 7265, 1229, 2282, 519, 1611, 267, 1247, 519, 1239, 1831, 1447, 7928, 950, 20991, 2476, 689, 519, 1611, 269, 634, 5506, 602, 513, 14477, 5697, 4807, 568, 1063, 476, 2568, 269, 274, 543, 476, 4792, 6279, 7381, 269, 9540, 3604, 1063, 606, 1367, 779, 4463, 543, 519, 1611, 2049, 811, 4749, 982, 8101, 24017, 689, 519, 1611, 269, 536, 264, 476, 272, 634, 2698, 6871, 540, 1858, 540, 519, 3339, 7455, 1369, 1079, 2798, 540, 27614, 566, 568, 6378, 281, 27051, 476, 6924, 269, 2918, 260, 1858, 540, 519, 7455, 8813, 1369, 519, 7182, 540, 13008, 272, 3044, 11539, 1770, 689, 519, 1611, 607, 3254, 538, 4137, 2630, 269, 769, 2665, 1141, 621, 568, 7543, 547, 2268, 1169, 4759, 540, 513, 2551, 267, 519, 3044, 11539, 949, 581, 6059, 1210, 513, 4351, 3732, 269, 595, 264, 634, 3262, 540, 519, 7455, 568, 14354, 547, 519, 3044, 11539, 269, 1280, 513, 3339, 3892, 922, 1611, 267, 11667, 267, 7154, 616, 3160, 269, 589, 16453, 5860, 7455, 814, 799, 540, 519, 1739, 3601, 286, 20290, 782, 630, 4200, 269, 278, 260, 3738, 540, 519, 1239, 786, 2887, 1369, 476, 274, 3044, 24017, 540, 519, 1611, 269, 6399, 267, 7154, 543, 11667, 568, 2560, 536, 264, 476, 272, 524, 264, 7054, 10585, 15932, 24438, 634, 3337, 540, 519, 16453, 4354, 557, 568, 13322, 13090, 513, 264, 476, 271, 898, 568, 513, 11350, 8032, 543, 796, 574, 27567, 7455, 269, 901, 1505, 568, 1360, 3730, 538, 7811, 960, 269, 634, 7411, 2855, 2478, 689, 519, 1249, 602, 938, 3349, 540, 2418, 1281, 711, 1450, 721, 547, 2047, 5173, 4399, 3667, 346, 303, 32710, 3667, 346, 313, 4153, 19008, 910, 272, 269, 1626, 30879, 589, 2489, 1505, 568, 519, 11201, 2981, 10386, 1505, 267, 799, 3096, 519, 19469, 3892, 1599, 630, 290, 5263, 264, 540, 519, 3077, 4351, 4756, 269, 524, 264, 31763, 850, 11539, 536, 264, 2598, 4740, 15932, 24438, 476, 273, 269, 634, 12170, 4341, 568, 513, 13561, 2656, 7447, 540, 519, 3262, 540, 519, 1239, 2016, 519, 1611, 543, 3044, 11539, 540, 513, 1239, 1305, 602, 5205, 3339, 3892, 269, 546, 264, 3502, 6378, 1717, 267, 713, 568, 519, 5506, 602, 519, 1871, 568, 1447, 982, 476, 272, 269, 1704, 521, 580, 5733, 1657, 519, 1611, 269, 634, 12825, 3892, 568, 1419, 7255, 609, 519, 2179, 540, 942, 2394, 930, 1808, 2680, 4386, 269, 8641, 476, 272, 281, 13852, 7455, 3308, 1944, 513, 3339, 3892, 609, 513, 5266, 1507, 3044, 11539, 269, 2271, 30698, 569, 267, 513, 6024, 4351, 4756, 568, 519, 835, 799, 666, 1491, 513, 6024, 2039, 540, 2418, 2443, 607, 10353, 547, 513, 15768, 3892, 267, 1141, 519, 1305, 540, 2009, 2418, 585, 519, 4351, 4756, 568, 693, 1034, 1293, 762, 269, 6465, 2065, 2103, 1289, 513, 3892, 609, 513, 11350, 11057, 7455, 513, 3339, 3892, 269, 645, 264, 898, 814, 513, 8445, 10704, 1657, 922, 1611, 269, 546, 264, 23893, 1871, 4386, 693, 782, 2798, 546, 264, 476, 271, 25037, 10386, 689, 513, 7833, 3892, 543, 689, 606, 17062, 3892, 269, 769, 1931, 547, 4605, 519, 1871, 540, 519, 3044, 11539, 540, 513, 3339, 3892, 543, 621, 779, 6935, 547, 519, 8700, 610, 3262, 540, 513, 11350, 7455, 267, 2015, 519, 1739, 11708, 269, 16453, 17392, 568, 21136, 568, 827, 13322, 13090, 536, 264, 9208, 11539, 634, 2798, 693, 1535, 284, 21718, 543, 1535, 284, 21718, 616, 519, 1102, 3005, 2798, 593, 519, 3339, 7455, 269, 524, 264, 476, 273, 634, 3339, 3892, 568, 513, 15768, 3892, 269, 634, 4214, 2829, 602, 513, 6024, 5506, 3892, 1590, 4865, 513, 5860, 282, 610, 5973, 1836, 267, 922, 19469, 3892, 1599, 581, 11613, 6024, 269, 634, 3339, 7455, 568, 513, 21136, 3892, 609, 835, 25991, 8445, 267, 799, 1797, 519, 25991, 1611, 267, 11667, 267, 543, 7154, 616, 782, 3160, 269, 12126, 4475, 267, 519, 3339, 7455, 568, 21136, 827, 519, 25991, 1611, 267, 13179, 269, 8437, 1586, 547, 1294, 2165, 476, 272, 270, 7367, 634, 3892, 568, 1419, 28484, 4399, 3667, 346, 308, 32710, 3667, 21151, 9574, 1422, 3667, 15830, 348, 30879, 2422, 519, 3113, 547, 2697, 519, 1871, 540, 18665, 543, 29178, 269, 634, 3339, 3892, 1871, 568, 15186, 4642, 950, 519, 1871, 1535, 6013, 811, 982, 513, 1906, 3044 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4058, 513, 7552, 602, 3322, 1614, 476, 279, 476, 6187, 4924, 476, 1001, 272, 267, 476, 2641, 281, 1626, 454, 20135, 3845, 547, 1200, 10278, 269, 476, 274, 476, 2764, 4455, 476, 1001, 271, 267, 476, 5881, 281, 1626, 454, 1103, 476, 3192, 280, 5111, 540, 519, 476, 4391, 269, 274, 2929, 29617, 15915, 476, 275, 476, 1724, 2904, 476, 1220, 277, 267, 476, 1724, 281, 4391, 454, 534, 29617, 949, 936, 1504, 513, 8184, 547, 2327, 513, 2407, 18213, 476, 273, 476, 3066, 4239, 476, 1220, 276, 267, 476, 1015, 281, 6078, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 9223, 692, 258, 1280, 513, 1587, 267, 5663, 3790, 723, 1044, 6059, 693, 8096, 476, 4968, 267, 1822, 538, 6378, 3790, 829, 1032, 13718, 2690, 513, 1587, 267, 5663, 3790, 723, 1044, 6059, 693, 8096, 476, 4968, 267, 1822, 538, 6378, 3790, 829, 1032, 543, 8096, 476, 276, 829, 1770, 538, 4756, 3790, 269, 634, 9042, 3902, 786, 581, 8096, 476, 278, 1315, 1770, 543, 519, 2030, 568, 16912, 539, 547, 723, 513, 4390, 547, 3132, 476, 1220, 267, 1822, 4559, 829, 1032, 269, 14419, 1018, 2600, 540, 519, 4390, 519, 2030, 1590, 7500, 547, 2057, 9561, 610, 10888, 952, 649, 8263, 602, 1142, 1770, 3812, 666, 581, 4421, 780, 320, 563, 3583, 30515, 321, 269, 476, 4037, 30515, 322, 563, 2568, 30515, 323, 563, 4792, 30515, 324, 563, 4649, 30515, 17954, 752, 1256, 1448, 630, 538, 4559, 3738, 815, 674, 12089, 1942, 1315, 9295, 829, 1770, 692, 11693, 267, 674, 12089, 3790, 815, 8096, 274, 267, 876, 267, 1822, 692, 6944, 9084, 829, 1770, 815, 9513, 3902, 829, 1770, 910, 4756, 1942, 829, 1770, 692, 284, 8096, 278, 910, 8096, 276, 815, 8096, 273, 692, 17798, 267, 2736, 1256, 4559, 815, 8096, 274, 267, 876, 267, 1822, 270, 15478, 273, 815, 476, 272, 267, 2004, 267, 1822, 4559, 692, 11997, 267, 952, 519, 11769, 568, 2111, 547, 3132, 476, 272, 267, 2004, 267, 1822, 4559, 267, 6533, 972, 1131, 581, 1100, 7443, 610, 2530, 780, 12244, 1377, 693, 799, 2736, 1256, 4523, 568, 281, 1297, 540, 4559, 547, 581, 3812, 14121, 4973, 5663, 4390, 692, 284, 476, 272, 267, 2004, 267, 1822, 270, 273, 267, 876, 267, 1822, 265, 1911, 815, 476, 4037, 260, 780, 4263, 476, 4037, 260, 4390, 1377, 267, 11004, 1131, 581, 1100, 7443, 610, 2530, 547, 519, 11769, 780, 1156, 576, 267, 519, 4781, 568, 645, 780, 2971, 2423, 333, 3213, 1231, 692, 10870, 1231, 666, 581, 28099, 14855, 585, 32263, 13344, 269, 0, 2162, 476, 274, 269, 5197, 277, 6695, 842, 1422, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 264, 630, 320, 524, 23444, 321, 524, 266, 320, 546, 264, 1535, 17070, 546, 1535, 317, 273, 14587, 22773, 15848, 9681, 18893, 2711, 269, 23516, 2450, 284, 6872, 1269, 10559, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 264, 630, 321, 524, 8584, 546, 14587, 10559, 2765, 18097, 1422, 8421, 630, 320, 17070, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 23180, 2765, 18097, 1422, 8421, 630, 322, 266, 323, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 10592, 314, 11073, 6540, 24179, 272, 270, 9230, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 31618, 320, 1109, 266, 1109, 321, 20080, 30727, 1109, 268, 1109, 5560, 265, 19868, 314, 320, 1109, 266, 1109, 321, 20080, 8079, 14370, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 1109, 266, 1109, 5560, 265, 19868, 314, 322, 1109, 266, 1109, 323, 20080, 8079, 14370, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 692, 21228, 21228, 6303, 3071, 692, 305, 889, 328, 1496, 288, 316, 1109, 942, 815, 476, 271, 269, 271, 3374, 30589, 274, 267, 1884, 3187, 29719, 2450, 815, 476, 6872, 267, 28348, 2450, 540, 1884, 3187, 29719, 815, 476, 272, 1421, 1297, 540, 3268, 1031, 815, 476, 274, 267, 1297, 540, 3652, 1031, 815, 476, 273, 267, 2076, 8681, 2450, 815, 476, 3066, 267, 6695, 2765, 3189, 3667, 346, 15893, 540, 3652, 24828, 3667, 346, 15759, 8681, 2450, 24995, 815, 476, 271, 269, 6187, 280, 267, 16390, 1031, 815, 2715, 277, 2918, 267, 476, 4510, 348, 1269, 10559, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 264, 630, 321, 524, 8584, 546, 14587, 10559, 2765, 18097, 1422, 8421, 630, 320, 17070, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 23180, 2765, 18097, 1422, 8421, 630, 322, 266, 323, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 10592, 12901, 3187, 29719, 729, 6707, 2357, 328, 16667, 539, 780, 314, 1103, 6540, 4504, 314, 272, 270, 9230, 320, 1109, 266, 1109, 321, 20080, 31618, 320, 265, 322, 1109, 266, 1109, 6357, 265, 322, 1109, 266, 1109, 320, 265, 323, 12684, 343, 1109, 266, 1109, 321, 265, 323, 20080, 317, 273, 24270, 343, 6540, 314, 11073, 6540, 24179, 272, 270, 9230, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 31618, 320, 1109, 266, 1109, 321, 20080, 30727, 1109, 268, 1109, 5560, 265, 19868, 314, 320, 1109, 266, 1109, 321, 20080, 8079, 14370, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 1109, 266, 1109, 5560, 265, 19868, 314, 322, 1109, 266, 1109, 323, 20080, 8079, 14370, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 692, 305, 2544, 476, 277, 2918, 692, 4504, 314, 9230, 323, 318, 264, 1109, 266, 1109, 16216, 318, 4700, 16732, 343, 318, 4297, 22677, 332, 318, 4700, 265, 9230, 320, 318, 4700, 1109, 266, 1109, 6357, 318, 4700, 16732, 343, 318, 264, 1109, 266, 1109, 6262, 318, 4700, 16732, 343, 318, 8203, 273, 8203, 263, 335, 318, 13776, 1109, 343, 318, 15228, 2513, 316, 1109, 281, 285, 1109, 4504, 27007, 323, 1109, 266, 1109, 324, 20080, 8203, 263, 332, 1109, 266, 1109, 335, 31618, 320, 454, 7933, 1109, 266, 1109, 6262, 20080, 8358, 324, 8203, 335, 267, 1109, 343, 316, 1109, 270, 282, 1109, 10403, 304, 314, 346, 320, 267, 1109, 321, 267, 1109, 322, 267, 1109, 323, 267, 1109, 324, 267, 1109, 332, 9574, 1109, 343, 316, 1109, 261, 261, 1109, 10468, 304, 314, 321, 317, 273, 1109, 268, 1109, 275, 265, 320, 265, 322, 267, 1109, 271, 316, 1109, 261, 261, 1109, 292, 336, 304, 314, 322, 265, 323, 317, 273, 1109, 268, 1109, 321, 265, 323, 265, 324, 1109, 266, 1109, 320, 265, 324, 317, 273, 267, 1109, 271, 316, 1109, 261, 261, 454, 18204, 518, 304, 314, 335, 6540, 305, 2544, 476, 4510, 692, 4504, 314, 9230, 320, 318, 264, 1109, 266, 1109, 6357, 318, 4700, 16732, 343, 318, 4297, 22677, 332, 318, 4700, 265, 9230, 322, 318, 4700, 1109, 266, 1109, 5560, 318, 4700, 16732, 343, 318, 4297, 22677, 333, 318, 13776, 1109, 343, 318, 15228, 2513, 316, 1109, 281, 285, 1109, 4504, 314, 22091, 663, 18204, 8681, 27007, 320, 1109, 266, 1109, 321, 20080, 8203, 332, 16732, 322, 1109, 266, 1109, 323, 20330, 343, 8203, 333, 267, 1109, 343, 3910, 1109, 343, 316, 1109, 270, 282, 1109, 10403, 304, 314, 346, 320, 267, 1109, 321, 267, 1109, 322, 267, 1109, 323, 9574, 1109, 343, 316, 1109, 261, 261, 1109, 10468, 304, 314, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 267, 1109, 271, 316, 1109, 261, 261, 1109, 6579, 339, 304, 314, 332, 267, 1109, 271, 316, 1109, 261, 261, 1109, 18204, 518, 304, 19559, 316, 1109, 261, 261, 1109, 1109, 256, 263, 5456, 339, 304, 19559, 267, 1109, 271, 316, 1109, 261, 261, 1109, 299, 454, 339, 304, 314, 332, 1109, 266, 1109, 333, 1109, 266, 1109, 273, 267, 1109, 271, 20285, 305, 889, 328, 3268, 692, 17961, 9387, 15857, 1422, 842, 1422, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 264, 1422, 3847, 630, 320, 524, 23444, 321, 524, 266, 320, 546, 264, 1535, 17070, 546, 1535, 317, 273, 9368, 3738, 348, 22773, 15848, 1299, 7807, 842, 1422, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 8203, 273, 630, 322, 266, 323, 1535, 14587, 22773, 15848, 11138, 1299, 7807, 842, 1422, 3847, 22570, 2765, 15830, 2410, 263, 321, 524, 8584, 546, 264, 630, 320, 17070, 1535, 8203, 273, 32757, 2765, 15830, 546, 2410, 263, 321, 524, 8584, 546, 8203, 273, 630, 320, 17070, 1535, 14587, 10954, 2765, 18097, 317, 273, 2410, 263, 321, 524, 8584, 546, 8203, 273, 630, 322, 266, 323, 1535, 264, 4153, 2431, 3738, 22773, 15848, 11138, 17851, 10559, 2765, 346, 272, 2410, 263, 321, 524, 8584, 546, 264, 630, 320, 17070, 1535, 14587, 10559, 2765, 18097, 1422, 8421, 630, 320, 17070, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 23180, 2765, 18097, 1422, 8421, 630, 322, 266, 323, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 27874, 1422, 754, 9387, 265, 10926, 12385, 11490, 320, 1496, 288, 316, 1109, 942, 815, 476, 271, 269, 271, 2537, 279, 1626, 276, 267, 2450, 815, 476, 7871, 267, 28348, 2450, 815, 476, 271, 269, 11152, 4399, 2765, 18097, 630, 320, 17070, 1535, 264, 1422, 8421, 630, 322, 266, 323, 1535, 9984, 323, 630, 320, 17070, 1535, 264, 1422, 8421, 630, 320, 17070, 1535, 11924, 320, 546, 1532, 524, 2410, 263, 320, 17070, 1535, 264, 630, 321, 524, 8584, 546, 8203, 273, 10592, 12901, 3187, 29719, 729, 6707, 2357, 328, 16667, 539, 780, 314, 1103, 6540, 18204, 3433, 314, 272, 270, 9230, 320, 1109, 266, 1109, 321, 20080, 31618, 320, 265, 322, 1109, 266, 1109, 6357, 265, 322, 1109, 266, 1109, 320, 265, 323, 12684, 343, 1109, 266, 1109, 321, 265, 323, 20080, 317, 273, 24270, 343, 6540, 314, 11073, 6540, 8987, 263, 321, 265, 322, 264, 1109, 266, 1109, 320, 265, 323, 1109, 268, 1109, 323, 16732, 320, 1109, 266, 1109, 321, 20080, 12684, 19868, 314, 320, 1109, 266, 1109, 321, 20080, 316, 1109, 266, 1109, 323, 16732, 320, 1109, 266, 1109, 321, 20080, 12684, 19868, 314, 322, 1109, 266, 1109, 323, 20080, 8079, 270, 9230, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 16732, 320, 1109, 266, 1109, 321, 20080, 11723, 21228, 21228, 6303, 3071, 692, 300, 18393, 1496, 288, 316, 1109, 942, 815, 476, 271, 269, 4962, 267, 2450, 815, 476, 6872, 267, 28348, 2450, 815, 476, 272, 269, 1422, 8218, 9387, 265, 7346, 2765, 18097, 315, 15238, 1422, 3847, 630, 15848, 25239, 1422, 2431, 3738, 25452, 1422, 3847, 630, 740, 1532, 322, 1422, 2431, 3738, 476, 3867, 273, 3686, 15396, 3189, 2765, 346, 272, 2410, 1422, 3847, 630, 740, 1532, 322, 1422, 2431, 3738, 1422, 3847, 630, 536, 343, 266, 320, 1422, 2431, 3738, 31998, 268, 3189, 2765, 18097, 315, 15238, 1422, 3847, 630, 536, 343, 266, 320, 1422, 2431, 3738, 25452, 1422, 3847, 630, 740, 1532, 322, 1422, 2431, 3738, 476, 3867, 273, 3686, 348, 1422, 754, 9387, 265, 10926, 19723, 328, 16667, 322, 566, 540, 1884, 3187, 29719, 568, 711, 4867, 8045, 585, 713, 31909, 780, 314, 1103, 6540, 842, 263, 272, 14370, 321, 20080, 266, 320, 19422, 320, 265, 322, 23444, 320, 265, 323, 17070, 265, 322, 12684, 343, 17070, 265, 323, 20080, 317, 273, 1070, 343, 2020, 314, 11073, 6540, 323, 14370, 320, 265, 323, 1532, 265, 322, 8203, 273, 265, 15238, 5560, 20080, 25239, 11924, 272, 14370, 320, 265, 323, 1532, 265, 322, 19422, 321, 20080, 266, 320, 9984, 323, 14370, 320, 265, 323, 1532, 265, 322, 8203, 273, 265, 15238, 6357, 20080, 266, 320, 2020, 21228, 21228, 6303, 3071, 692, 16655, 9874, 1496, 288, 316, 1109, 942, 815, 476, 272, 269, 271, 5379, 272, 267, 2450, 815, 476, 14862, 267, 28348, 2450, 815, 476, 273, 269, 1240, 1422, 8218, 9387, 15857, 28363, 2765, 18097, 1422, 8421, 1422, 3847, 630, 321, 1535, 1341, 513, 9368, 3738, 2410, 321, 3867, 273, 348, 524, 3867, 273, 348, 910, 476, 273, 22773, 513, 536, 524, 546, 1341, 513, 3867, 273, 348, 546, 3867, 273, 3686, 1341, 1422, 2765, 18097, 1422, 8421, 1422, 3847, 630, 323, 1535, 1341, 524, 9368, 3738, 2410, 321, 3867, 273, 348, 524, 3867, 273, 348, 910, 476, 273, 22773, 513, 536, 524, 546, 1341, 513, 3867, 273, 348, 546, 3867, 273, 3686, 910, 1422, 2765, 346, 272, 2410, 320, 536, 524, 910, 513, 3867, 273, 348, 546, 1341, 3189, 3847, 630, 321, 3867, 273, 348, 524, 910, 513, 536, 546, 9368, 3738, 348, 1535, 348, 1422, 754, 9387, 265, 10926, 19723, 328, 16667, 322, 566, 540, 1884, 3187, 29719, 568, 711, 4867, 8045, 585, 713, 31909, 780, 314 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3240, 6958, 822, 338, 28121, 257, 19417, 9899, 257, 277, 262, 274, 14824, 10233, 9899, 257, 565, 633, 14824, 25988, 9899, 257, 18484, 7491, 257, 10926, 336, 284, 6358, 2891, 1432, 338, 798, 596, 1616, 547, 917, 827, 803, 286, 5602, 604, 7117, 538, 1250, 6958, 822, 338, 912, 453, 30440, 284, 3240, 6958, 822, 338, 314, 336, 2639, 13537, 263, 30440, 994, 12828, 912, 1038, 1820, 2891, 8253, 5853, 23528, 0, 5814, 11885, 607, 5286, 454, 5228, 21267, 1104, 7510, 7120, 607, 12301, 454, 5814, 942, 454, 5228, 1003, 9346, 1104, 795, 527, 692, 287, 329, 527, 3799, 641, 3155, 18989, 994, 3698, 8260, 601, 321, 8527, 18750, 267, 11133, 2005, 2187, 825, 8173, 825, 23893, 607, 538, 8260, 601, 321, 8527, 318, 272, 18258, 454, 825, 8173, 825, 524, 815, 1990, 454, 825, 585, 562, 538, 2039, 16325, 2005, 2187, 1038, 952, 2612, 18750, 264, 3436, 476, 273, 912, 2018, 2132, 562, 454, 1038, 1990, 815, 1990, 1262, 273, 1341, 524, 454, 825, 2132, 1003, 2005, 692, 287, 329, 527, 454, 3698, 1118, 300, 28888, 321, 8527, 13729, 16325, 2005, 28872, 31242, 310, 5954, 267, 18920, 3891, 697, 267, 1535, 14737, 11749, 267, 1535, 16655, 11749, 267, 586, 14737, 11749, 267, 586, 16655, 11749, 2187, 825, 8173, 825, 26157, 2609, 689, 8260, 601, 321, 8527, 318, 272, 543, 8260, 601, 321, 8527, 318, 273, 454, 825, 8173, 825, 1948, 2691, 4758, 519, 8260, 601, 321, 8527, 1599, 513, 1483, 543, 1950, 1297, 267, 649, 723, 547, 5173, 875, 1804, 519, 8884, 1063, 1079, 3097, 825, 1948, 335, 1460, 1564, 1058, 581, 269, 634, 1985, 2185, 3515, 540, 9479, 1281, 713, 269, 825, 454, 825, 1535, 21163, 815, 2612, 3287, 14737, 11749, 14870, 16655, 11749, 8358, 335, 31242, 310, 5954, 3097, 825, 1234, 815, 1535, 14737, 11749, 1948, 763, 1376, 1448, 585, 519, 2473, 17032, 8931, 825, 586, 21163, 815, 2612, 12169, 14737, 11749, 3917, 16655, 11749, 8358, 335, 31242, 3891, 697, 454, 825, 1955, 815, 586, 16655, 11749, 1948, 763, 1376, 1448, 585, 519, 962, 17032, 692, 825, 708, 326, 815, 5286, 25910, 9230, 335, 31242, 3891, 697, 28872, 31242, 310, 5954, 1070, 546, 6943, 25507, 994, 825, 585, 1775, 538, 2039, 263, 271, 28872, 31242, 3891, 697, 2187, 1038, 585, 795, 538, 2039, 263, 271, 28872, 31242, 310, 5954, 2187, 2018, 708, 326, 5157, 25814, 316, 815, 8260, 601, 321, 8527, 263, 1260, 14658, 263, 3725, 267, 3412, 1070, 11133, 2005, 994, 2018, 1234, 6834, 343, 21163, 8931, 1038, 1955, 20699, 344, 21163, 454, 1038, 1234, 815, 1535, 14737, 11749, 454, 825, 2132, 708, 326, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1535, 2381, 815, 910, 273, 454, 825, 1535, 10946, 815, 476, 272, 454, 825, 586, 2381, 815, 910, 272, 269, 276, 454, 825, 586, 10946, 815, 476, 272, 269, 276, 692, 825, 585, 1775, 538, 2039, 263, 276, 2187, 1038, 512, 271, 815, 942, 28333, 4590, 1038, 759, 815, 1118, 300, 28888, 321, 8527, 13729, 263, 1911, 267, 1911, 271, 267, 1911, 271, 21726, 2381, 21726, 10946, 267, 2096, 514, 267, 2096, 1314, 994, 1038, 512, 272, 815, 942, 28333, 4590, 1038, 2698, 815, 512, 272, 2389, 271, 454, 1038, 1820, 6025, 4973, 2020, 825, 12301, 269, 574, 19651, 263, 637, 267, 6708, 17342, 343, 2381, 21726, 10946, 267, 2096, 514, 267, 2096, 1314, 7481, 825, 12301, 20481, 10797, 0, 258, 8196, 9226, 8638, 543, 1118, 606, 1592, 540, 2338, 563, 4289, 815, 1496, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 258, 2237, 513, 1599, 799, 7024, 2040, 540, 519, 1592, 540, 2338, 454, 3698, 2040, 8170, 8266, 292, 6123, 17338, 2187, 567, 2040, 284, 271, 3248, 567, 585, 1775, 538, 2039, 263, 271, 267, 6352, 17338, 15892, 825, 2040, 23785, 4289, 5157, 2639, 567, 2132, 2040, 692, 2745, 4433, 636, 8170, 8266, 292, 6123, 17338, 4297, 3097, 0, 5814, 30220, 454, 5228, 30220, 1104, 31764, 12265, 454, 5814, 942, 692, 560, 815, 30220, 6155, 622, 263, 1708, 271, 267, 476, 274, 267, 476, 272, 994, 258, 560, 815, 1412, 1708, 271, 268, 6734, 268, 4905, 7055, 564, 815, 30220, 6155, 622, 263, 1708, 271, 267, 476, 275, 267, 476, 1428, 994, 1485, 815, 31764, 12265, 5560, 904, 284, 272, 994, 2745, 263, 564, 3613, 994, 1721, 1775, 538, 2039, 9230, 564, 3613, 1040, 17058, 2187, 825, 1820, 263, 560, 1341, 1775, 265, 1485, 994, 825, 1820, 263, 560, 269, 1485, 994, 825, 942, 4732, 2748, 263, 273, 264, 0, 258, 19352, 3724, 540, 5532, 1592, 281, 15932, 1569, 568, 711, 4847, 267, 1284, 723, 547, 1569, 2609, 18615, 569, 4358, 689, 519, 1101, 6843, 269, 3097, 258, 3383, 649, 3112, 798, 519, 9352, 3406, 609, 5532, 1592, 7561, 609, 922, 9949, 791, 12661, 6339, 566, 269, 8528, 258, 15761, 571, 3965, 2230, 585, 513, 24072, 568, 2838, 609, 1142, 3693, 540, 519, 1592, 780, 258, 5071, 707, 6388, 540, 519, 5532, 1592, 269, 1411, 666, 3442, 547, 946, 519, 2206, 569, 5532, 1592, 610, 519, 6065, 569, 5532, 1592, 269, 589, 6843, 538, 513, 2206, 569, 5532, 1592, 1058, 723, 1079, 10305, 281, 1130, 543, 1985, 269, 1130, 568, 519, 1871, 540, 519, 1699, 6843, 267, 543, 1985, 568, 513, 24072, 270, 10915, 2397, 547, 519, 1985, 6843, 269, 1403, 596, 1616, 547, 946, 519, 6065, 569, 5532, 1592, 267, 596, 786, 991, 835, 811, 14487, 7173, 547, 5815, 519, 3105, 6843, 538, 519, 5532, 1592, 269, 27539, 782, 9136, 538, 519, 5532, 1592, 616, 476, 271, 268, 8161, 539, 780, 258, 25956, 891, 3252, 538, 707, 5532, 1592, 1362, 1384, 258, 1205, 263, 8161, 264, 2433, 5192, 519, 1871, 540, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 269, 1403, 519, 4994, 568, 23380, 267, 2132, 910, 272, 563, 258, 1039, 4263, 23175, 263, 1998, 264, 2433, 5410, 513, 6843, 540, 1871, 1130, 1354, 519, 1101, 3693, 540, 519, 5532, 1592, 269, 2991, 519, 24450, 267, 519, 1007, 6843, 786, 581, 519, 1101, 6843, 540, 519, 5532, 1592, 563, 258, 1039, 4263, 307, 841, 263, 1998, 264, 2433, 2561, 754, 513, 6843, 540, 1871, 1130, 547, 519, 2063, 3693, 540, 519, 5532, 1592, 563, 258, 1039, 4263, 19340, 263, 8161, 267, 1130, 264, 2433, 5410, 513, 6843, 540, 1871, 1130, 1354, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 269, 1403, 4994, 11224, 547, 519, 3259, 540, 5532, 1592, 267, 519, 6843, 786, 581, 813, 2105, 547, 519, 1439, 540, 5532, 1592, 269, 1403, 4994, 568, 3152, 982, 519, 3259, 267, 519, 6843, 786, 711, 581, 17332, 563, 258, 18419, 4263, 19340, 263, 8161, 264, 2433, 1546, 8541, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 267, 952, 519, 4994, 568, 4570, 563, 8528, 258, 11966, 2497, 912, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 2187, 1038, 1582, 21606, 815, 1239, 825, 1948, 7407, 547, 4558, 519, 1239, 540, 519, 19219, 454, 1038, 1582, 12785, 815, 7183, 825, 1948, 19702, 762, 547, 1448, 693, 519, 1985, 3693, 538, 519, 21912, 5903, 692, 825, 1948, 1948, 307, 1607, 1599, 547, 4159, 513, 811, 2143, 1239, 2418, 540, 519, 19219, 454, 825, 1948, 1219, 6449, 516, 1440, 9191, 1345, 2187, 825, 1948, 672, 2132, 1582, 21606, 692, 5035, 3733, 299, 22075, 8266, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 19461, 1944, 519, 2212, 6843, 912, 1038, 8173, 1038, 1582, 23584, 815, 7183, 454, 825, 1948, 1948, 1729, 4159, 519, 3693, 811, 3927, 454, 825, 1948, 1219, 6449, 516, 1440, 9191, 1345, 2187, 825, 1948, 672, 6843, 815, 1582, 23584, 454, 825, 1948, 672, 1592, 8170, 301, 3941, 815, 11713, 825, 1948, 672, 1948, 10177, 2091, 998, 519, 5532, 1592, 543, 1820, 3693, 856, 952, 621, 568, 711, 9039, 454, 825, 1948, 672, 1247, 6843, 568, 711, 7183, 912, 825, 1948, 1363, 1592, 8170, 301, 3941, 6910, 27316, 21606, 994, 825, 1948, 1363, 6843, 815, 6843, 12785, 692, 825, 1948, 672, 1592, 8170, 301, 3941, 6910, 2891, 14085, 5602, 1038, 454, 825, 1948, 672, 2132, 834, 9847, 834, 269, 21860, 17338, 8170, 301, 3941, 994, 8931, 825, 1219, 1205, 4311, 267, 4994, 281, 703, 264, 9847, 703, 912, 1038, 8173, 1038, 5192, 519, 1871, 540, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 269, 1403, 519, 4994, 568, 23380, 267, 2132, 910, 272, 563, 1038, 8173, 1038, 1293, 815, 476, 271, 1948, 22056, 513, 1293, 4756, 547, 1293, 519, 4994, 1369, 519, 1592, 269, 3097, 1038, 1427, 11749, 815, 476, 271, 454, 1038, 1699, 815, 1582, 23584, 1948, 1492, 1699, 3693, 786, 1376, 693, 519, 2212, 540, 519, 5532, 1592, 454, 1038, 1948, 31467, 998, 519, 5532, 1592, 689, 2212, 547, 2766, 454, 1038, 1247, 1699, 568, 711, 7183, 912, 2018, 952, 1293, 2652, 4994, 281, 11434, 454, 3546, 1427, 11749, 815, 1699, 21606, 454, 2018, 1293, 6834, 476, 272, 454, 2018, 1699, 815, 1699, 12785, 692, 1038, 2132, 1427, 11749, 7531, 825, 1219, 1039, 4263, 23175, 4311, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 5410, 513, 6843, 540, 1871, 1130, 1354, 519, 1101, 3693, 540, 519, 5532, 1592, 269, 2991, 519, 24450, 267, 519, 1007, 6843, 786, 581, 519, 1101, 6843, 540, 519, 5532, 1592, 563, 1038, 8173, 1038, 1948, 1711, 513, 10151, 19219, 609, 519, 1239, 1871, 547, 581, 3773, 883, 519, 1592, 454, 1038, 10917, 17045, 815, 19219, 263, 1998, 994, 1038, 1948, 12133, 532, 3693, 883, 519, 2212, 6843, 28329, 1038, 10917, 17045, 12785, 815, 1582, 23584, 454, 1038, 1582, 23584, 815, 10917, 17045, 692, 825, 1219, 1039, 4263, 307, 841, 4311, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 2561, 754, 513, 6843, 540, 1871, 1130, 547, 519, 2063, 3693, 540, 519, 5532, 1592, 563, 1038, 8173, 1038, 1948, 22056, 513, 1007, 6843, 602, 786, 3180, 519, 1871, 2877, 547, 1780, 538, 454, 1038, 1007, 11966, 815, 19219, 263, 1998, 994, 1038, 1948, 952, 519, 1592, 568, 8900, 267, 1287, 649, 786, 1175, 1039, 519, 3693, 538, 607, 513, 2212, 6843, 454, 1038, 952, 630, 1345, 23584, 2652, 7183, 2187, 2018, 1582, 23584, 815, 1007, 11966, 454, 2018, 2132, 454, 1038, 1948, 31467, 998, 519, 5532, 1592, 689, 2212, 543, 547, 922, 2766, 543, 1039, 3693, 547, 519, 5532, 1592, 693, 519, 1439, 454, 1038, 1699, 815, 1582, 23584, 454, 1038, 1247, 1699, 12785, 568, 711, 7183, 912, 2018, 1699, 815, 1699, 12785, 454, 1038, 1699, 12785, 815, 1007, 11966, 7531, 825, 1219, 1039, 4263, 19340, 4311, 267, 4994, 281, 703, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 5410, 513, 6843, 540, 1871, 1130, 1354, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 269, 1403, 4994, 11224, 547, 519, 3259, 540, 5532, 1592, 267, 519, 6843, 786, 581, 813, 2105, 547, 519, 1439, 540, 5532, 1592, 269, 1403, 4994, 568, 3152, 982, 519, 3259, 267, 519, 6843, 786, 711, 581, 17332, 563, 1038, 8173, 1038, 1948, 8620, 513, 6843, 1785, 4902, 540, 519, 1007, 3693, 547, 581, 3773, 883, 519, 5532, 1592, 454, 1038, 1007, 17045, 815, 19219, 263, 1998, 994, 1038, 1293, 815, 476, 271, 1948, 22056, 513, 1293, 4756, 547, 1293, 519, 4994, 1369, 519, 1592, 269, 3097, 1038, 1699, 815, 1582, 23584, 1948, 1492, 1699, 3693, 786, 1376, 693, 519, 2212, 540, 519, 5532, 1592, 454, 1038, 1948, 31467, 998, 519, 5532, 1592, 689, 2212, 547, 2766, 454, 1038, 1247, 1699, 568, 711, 7183, 912, 2018, 952, 1293, 2652, 4994, 910, 272, 2433, 825, 454, 3546, 1699, 12785, 815, 1007, 17045, 825, 1948, 1492, 24072, 540, 519, 25216, 1239, 786, 849, 1448, 547, 519, 6843, 1310, 707, 7525, 6843, 538, 519, 5532, 1592, 563, 3546, 1007, 17045, 12785, 815, 1699, 12785, 12785, 454, 2018, 1293, 6834, 476, 272, 454, 2018, 1699, 815, 1699, 12785, 692, 1363, 692, 825, 1219, 18419, 4263, 19340, 4311, 267, 4994, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 1546, 8541, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 267, 952, 519, 4994, 568, 4570, 563, 1038, 8173, 1038, 1293, 815, 476, 271, 1948, 22056, 513, 1293, 4756, 547, 1293, 519, 4994, 1369, 519, 1592, 269, 3097, 1038, 1699, 815, 1582, 23584, 1948, 1492, 1699, 3693, 786, 1376, 693, 519, 2212, 540, 519, 5532, 1592, 454, 1038, 1948, 31467, 998, 519, 5532, 1592, 689, 2212, 547, 2766, 454, 1038, 1247, 1699, 568, 711, 7183, 912 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2704, 2006, 659, 910, 13638, 476, 1556, 270, 1626, 270, 1708, 272, 454, 9213, 568, 13638, 267, 519, 476, 1626, 628, 540, 5437, 267, 476, 1708, 272, 454, 21776, 476, 1626, 568, 519, 476, 17168, 628, 1554, 540, 519, 1032, 454, 3393, 2395, 2611, 2394, 519, 1439, 540, 519, 1032, 563, 3374, 2395, 2394, 5162, 5956, 454, 763, 3141, 14380, 693, 476, 277, 281, 7906, 281, 5379, 993, 454, 663, 23863, 786, 581, 693, 476, 275, 281, 6872, 281, 4905, 10681, 563, 2171, 786, 723, 476, 1015, 3108, 543, 476, 276, 3764, 540, 21765, 2221, 563, 763, 3859, 18302, 786, 581, 693, 476, 1556, 281, 7918, 281, 2537, 993, 563, 763, 1101, 1970, 20352, 786, 581, 693, 476, 273, 281, 1321, 993, 693, 476, 272, 269, 4391, 3952, 454, 763, 1101, 1164, 20352, 786, 581, 693, 476, 279, 281, 4097, 993, 693, 476, 277, 269, 6860, 3952, 454, 763, 1985, 1970, 20352, 693, 476, 274, 281, 1724, 10681, 693, 476, 271, 269, 3607, 3952, 454, 663, 519, 3803, 1164, 20352, 693, 7909, 16047, 9522, 697, 786, 581, 693, 476, 280, 281, 3066, 10681, 693, 476, 275, 269, 7761, 3952, 454, 763, 9855, 568, 4867, 476, 10844, 269, 279, 260, 7298, 454, 2171, 3580, 723, 519, 9509, 9855, 538, 476, 274, 2395, 593, 11016, 476, 866, 628, 540, 5437, 540, 476, 1708, 272, 693, 476, 1321, 281, 6812, 993, 454, 763, 5437, 9855, 568, 1572, 519, 9509, 2142, 11232, 9855, 454, 1607, 729, 519, 942, 950, 581, 28316, 8737, 21339, 585, 5162, 543, 1427, 8972, 883, 741, 25778, 2471, 454, 2005, 779, 849, 1572, 519, 7498, 5719, 518, 31089, 1154, 9855, 6226, 3101, 270, 9928, 337, 10248, 9855, 5131, 4506, 9855, 29778, 9855, 6519, 8127, 9855, 454, 2467, 786, 849, 581, 513, 3487, 658, 30803, 661, 743, 15199, 609, 519, 9509, 9855, 593, 11016, 454, 5970, 513, 9549, 2060, 2659, 19594, 4303, 454, 17220, 4303, 585, 570, 16260, 454, 13233, 29502, 4303, 454, 13233, 6744, 2659, 654, 760, 619, 4303, 454, 13233, 29661, 262, 4303, 454, 13233, 16258, 5253, 4303, 454, 9213, 568, 849, 7498, 21196, 540, 16672, 540, 590, 30371, 14879, 538, 6480, 8205, 454, 309, 13083, 14259, 340, 1068, 698, 538, 5125, 454, 296, 576, 1633, 545, 5678, 4303, 610, 667, 698, 584, 3331, 511, 16435, 839, 330, 32057, 512, 2426, 340, 538, 19360, 454, 21809, 807, 4303, 538, 590, 842, 661, 755, 520, 3780, 538, 5449, 13814, 10125, 540, 519, 12144, 454, 4002, 713, 1554, 538, 1686, 7498, 7277, 280, 1107, 589, 6739, 5480, 5220, 5856, 674, 344, 31121, 667, 739, 1195, 5271, 20391, 547, 2669, 585, 4550, 3766, 17922, 2238, 5532, 547, 513, 9097, 7214, 1895, 282, 1010, 4845, 568, 2663, 862, 3176, 547, 2182, 4074, 563, 6977, 276, 1107, 6424, 12389, 7723, 3587, 519, 1101, 3864, 547, 1294, 519, 15117, 22484, 538, 1018, 568, 1631, 2098, 25995, 19053, 23000, 563, 6942, 272, 1107, 634, 2817, 681, 604, 548, 5948, 11392, 922, 22497, 689, 1715, 3840, 3557, 563, 5002, 275, 1107, 2296, 11653, 3627, 19264, 13427, 18307, 2719, 11392, 513, 14664, 585, 519, 5687, 31020, 11896, 630, 341, 659, 10840, 8546, 1916, 4489, 275, 1107, 634, 8549, 15944, 7813, 540, 519, 2136, 2276, 13166, 10741, 563, 4572, 271, 1107, 1627, 656, 553, 267, 5245, 781, 3084, 29617, 267, 568, 8547, 607, 24368, 543, 8832, 24540, 17224, 658, 7896, 17290, 563, 4350, 274, 1107, 634, 2136, 2276, 543, 519, 8168, 5742, 3715, 6101, 20320, 1894, 563, 4350, 279, 1107, 700, 16256, 568, 1101, 24704, 676, 15751, 670, 1993, 10458, 689, 23908, 582, 8533, 693, 519, 9995, 9926, 8534, 14898, 538, 30239, 563, 3707, 276, 1107, 20648, 568, 8547, 563, 3192, 274, 1107, 4787, 2643, 629, 1982, 281, 8331, 31782, 4787, 2643, 629, 476, 275, 609, 513, 12284, 540, 1614, 20691, 689, 15729, 2052, 11232, 531, 267, 8419, 585, 606, 476, 10019, 6377, 5692, 563, 3192, 274, 1107, 772, 2529, 269, 5518, 9400, 29337, 4191, 519, 3690, 25575, 10939, 26932, 5202, 8191, 1436, 2920, 883, 1876, 267, 2278, 1944, 519, 4070, 540, 519, 14522, 26932, 5202, 563, 3192, 275, 1107, 634, 3657, 322, 756, 334, 5048, 568, 13739, 689, 17896, 22656, 563, 2735, 279, 1107, 769, 519, 1101, 1930, 9550, 538, 811, 982, 513, 8717, 267, 17037, 538, 9031, 1528, 17069, 626, 11134, 5484, 1794, 597, 13225, 583, 1729, 547, 581, 11788, 10579, 540, 9031, 563, 1960, 271, 1107, 7377, 1895, 7085, 328, 11709, 650, 328, 616, 4174, 5529, 540, 741, 12896, 3240, 13815, 1317, 519, 5918, 334, 1705, 711, 2206, 693, 782, 593, 519, 21756, 1411, 5700, 898, 781, 6936, 17581, 269, 29140, 12372, 1185, 3177, 782, 519, 4938, 1023, 563, 2507, 663, 952, 2221, 568, 707, 14512, 267, 8414, 17510, 1485, 1677, 1411, 256, 1411, 2671, 713, 2027, 1554, 609, 7498, 6942, 274, 1107, 654, 269, 595, 269, 7435, 344, 267, 1977, 25041, 564, 6345, 543, 21917, 630, 323, 269, 476, 4198, 279, 994, 6245, 276, 1107, 6754, 13130, 655, 603, 267, 4436, 3423, 21442, 267, 21917, 267, 543, 18364, 630, 323, 269, 476, 3422, 274, 994, 5002, 278, 1107, 26990, 612, 631, 1229, 603, 267, 1977, 17076, 267, 22256, 267, 8689, 267, 16073, 267, 543, 5496, 23116, 630, 323, 269, 476, 1960, 278, 994, 4489, 277, 1107, 667, 9155, 30215, 267, 1977, 5639, 17076, 543, 22256, 630, 323, 269, 476, 2735, 279, 994, 4572, 273, 1107, 21280, 2946, 7203, 600, 6210, 267, 14082, 29787, 630, 323, 269, 476, 1001, 271, 994, 4350, 271, 1107, 25590, 7699, 3600, 515, 2041, 267, 30645, 29787, 267, 10564, 267, 543, 10404, 630, 323, 269, 476, 1001, 274, 994, 4198, 274, 1107, 26186, 10910, 903, 13643, 267, 21730, 635, 539, 1014, 267, 17076, 267, 543, 2278, 454, 3422, 275, 1107, 667, 10005, 918, 337, 718, 267, 8225, 22256, 1606, 784, 23116, 543, 32058, 626, 454, 3422, 278, 1107, 23436, 12844, 564, 267, 1977, 957, 816, 543, 8689, 454, 3192, 278, 1107, 744, 802, 3570, 645, 2967, 592, 267, 21977, 12677, 4137, 1236, 831, 454, 3192, 278, 1107, 7395, 27932, 21859, 961, 523, 3873, 531, 267, 1977, 957, 816, 543, 22256, 0, 19054, 3345, 9315, 1400, 853, 563, 291, 528, 17998, 4741, 267, 10790, 476, 28512, 2190, 454, 290, 5670, 1054, 2096, 545, 4524, 543, 645, 13633, 4524, 616, 1360, 2147, 538, 1896, 2081, 563, 4913, 267, 513, 1592, 540, 4162, 16174, 873, 689, 1142, 824, 912, 763, 1004, 7092, 689, 7814, 1054, 2096, 807, 723, 5712, 540, 4965, 267, 3834, 2674, 807, 610, 812, 807, 602, 2063, 689, 476, 272, 268, 274, 3275, 563, 5445, 849, 723, 5712, 538, 799, 519, 2589, 616, 711, 1459, 269, 898, 1281, 711, 723, 519, 2834, 3270, 540, 519, 7099, 2242, 602, 17299, 4524, 814, 563, 5445, 723, 2834, 3270, 540, 7099, 2242, 269, 1358, 723, 3476, 8653, 540, 2589, 563, 763, 7099, 2242, 2356, 2063, 585, 811, 982, 1079, 4374, 269, 1452, 7099, 23638, 616, 849, 711, 3908, 547, 4965, 610, 812, 807, 269, 769, 1063, 891, 7099, 23638, 267, 789, 666, 849, 2611, 7123, 563, 2690, 606, 4977, 5868, 267, 596, 1590, 5077, 513, 31897, 945, 666, 2995, 519, 3017, 1063, 519, 1079, 4713, 563, 2467, 568, 711, 1454, 540, 513, 3017, 538, 519, 2126, 540, 519, 1079, 4713, 563, 290, 5670, 1054, 2096, 545, 13081, 630, 290, 5670, 1054, 2096, 807, 264, 568, 1362, 1227, 6353, 607, 2789, 5712, 540, 3834, 2674, 807, 630, 11499, 1164, 264, 543, 4965, 9434, 476, 273, 1296, 610, 811, 563, 4322, 5712, 540, 4965, 543, 3834, 2674, 807, 949, 581, 954, 4944, 619, 539, 609, 5266, 10835, 1863, 5712, 267, 855, 519, 2949, 1576, 568, 835, 538, 799, 31916, 2395, 856, 15893, 10835, 1863, 2395, 282, 8754, 267, 519, 2165, 7814, 1054, 2096, 545, 563, 2005, 568, 1455, 585, 1004, 609, 20676, 1054, 2096, 545, 13081, 547, 1582, 2173, 539, 6510, 609, 4568, 610, 6219, 6057, 282, 2705, 267, 972, 568, 1100, 2963, 602, 6219, 6057, 3123, 20676, 1054, 2096, 545, 13081, 538, 713, 2551, 269, 0, 20332, 1436, 568, 519, 1184, 540, 4742, 513, 12504, 540, 519, 2136, 2276, 267, 519, 1482, 607, 596, 1131, 581, 952, 519, 772, 2529, 269, 729, 707, 1747, 540, 4332, 269, 7849, 1436, 3340, 7029, 543, 568, 711, 513, 3375, 596, 1058, 1118, 21066, 563, 2691, 596, 1831, 513, 2067, 1242, 12504, 267, 596, 723, 519, 1482, 2924, 602, 782, 4961, 2972, 267, 2436, 2067, 1242, 610, 4535, 593, 772, 2529, 269, 3037, 269, 1717, 267, 15114, 849, 11438, 609, 621, 930, 1271, 9021, 563, 25215, 976, 4850, 540, 772, 2529, 269, 22893, 1222, 454, 6524, 596, 666, 1831, 2067, 1242, 267, 596, 723, 547, 1451, 782, 827, 18523, 2229, 543, 875, 621, 3252, 269, 634, 2136, 2276, 568, 513, 9111, 267, 2495, 602, 519, 20772, 568, 602, 782, 4961, 786, 1491, 593, 3742, 18523, 11645, 563, 6097, 547, 772, 2529, 269, 22893, 1222, 543, 26790, 7896, 267, 707, 9021, 607, 513, 12504, 1331, 1073, 324, 3539, 782, 4031, 267, 9878, 707, 4747, 9204, 547, 519, 3617, 2229, 8116, 543, 10283, 538, 519, 11180, 1184, 676, 13359, 269, 1924, 602, 596, 666, 1118, 1434, 3664, 267, 596, 723, 513, 5539, 547, 3251, 5483, 593, 2152, 602, 1860, 707, 2146, 269, 1411, 849, 723, 519, 5539, 547, 2463, 519, 2924, 540, 1866, 563, 305, 2074, 540, 772, 2529, 269, 22893, 454, 763, 16672, 540, 14412, 267, 519, 3561, 602, 3964, 519, 2136, 2276, 607, 922, 1378, 2197, 267, 2829, 602, 782, 1004, 267, 1519, 772, 2529, 269, 4961, 267, 723, 519, 1318, 547, 1272, 267, 15698, 543, 519, 13287, 540, 8788, 269, 1548, 1281, 713, 1611, 538, 4052, 2474, 286, 4270, 267, 607, 513, 1906, 1806, 267, 607, 513, 12504, 540, 519, 772, 2529, 1421, 596, 723, 519, 1318, 547, 10847, 607, 596, 6999, 543, 547, 2769, 3054, 1510, 13779, 689, 519, 2229, 269, 9701, 596, 1265, 3054, 896, 10654, 267, 596, 723, 519, 1318, 547, 513, 4693, 676, 513, 21139, 540, 707, 9905, 538, 513, 12905, 6073, 563, 308, 2529, 269, 15114, 849, 3947, 596, 519, 1318, 547, 11654, 4876, 3681, 602, 1131, 711, 581, 2139, 547, 596, 6382, 269, 1280, 1383, 267, 596, 666, 4019, 585, 6009, 538, 519, 5313, 2229, 602, 2154, 15114, 269, 1411, 666, 849, 2196, 585, 1022, 11221, 5604, 4849, 5518, 540, 519, 2136, 2276, 267, 7247, 519, 9139, 3081, 814, 547, 581, 513, 2067, 23899, 12504, 269, 0, 4415, 19343, 779, 570, 4459, 268, 7775, 6874, 805, 4947, 909, 538, 1175, 513, 1906, 2395, 267, 621, 568, 1271, 547, 1832, 1072, 543, 3106, 538, 2247, 269, 634, 4741, 585, 8376, 6513, 15565, 1896, 2081, 547, 1832, 596, 543, 707, 1453, 6126, 543, 2635, 1282, 971, 513, 1187, 543, 30018, 9702, 256, 10287, 891, 15324, 4388, 585, 513, 2922, 19343, 281, 3040, 2252, 596, 610, 707, 1126, 779, 28076, 3340, 1118, 5346, 267, 1449, 519, 1587, 4433, 264, 593, 513, 1507, 851, 540, 519, 1688, 547, 2057, 513, 1761, 13027, 5114, 610, 2960, 16698, 1107, 1732, 2922, 982, 20994, 256, 3040, 11900, 1051, 17711, 1354, 18656, 3101, 1107, 1118, 2386, 4773, 616, 20177, 547, 2327, 789, 723, 711, 1044, 512, 2086, 1229, 609, 269, 3040, 22879, 19471, 13000, 689, 21046, 269, 3040, 2252, 513, 28076, 568, 4158, 267, 8936, 14436, 4773, 610, 8279, 547, 2061, 1373, 31305, 676, 10256, 269, 3040, 22142, 8945, 11399, 2389, 805, 4805, 543, 3802, 267, 1810, 1406, 2196, 256, 3040, 310, 792, 18723, 15033, 24853, 269, 3040, 13014, 2386, 24853, 3514, 7157, 547, 2057, 15143, 543, 8813, 256, 1411, 666, 849, 1780, 856, 2635, 8925, 547, 17711, 267, 971, 607, 16152, 609, 1970, 8477, 610, 1447, 4006, 267, 1507, 9162, 267, 610, 29654, 282, 2057, 11093, 13544, 27984, 2000, 534, 3179, 610, 1022, 23732, 609, 606, 1930, 18723, 2673, 547, 513, 3802, 3118, 282, 543, 1818, 2386, 3802, 1811, 616, 1396, 14013, 585, 782, 14538, 4947, 547, 543, 689, 707, 1753, 563, 30475, 554, 9994, 8696, 267, 8945, 11399, 2389, 805, 0, 6343, 568, 14408, 9692, 4425, 8814, 570, 25683, 888, 763, 14408, 9692, 15245, 8546, 568, 513, 3044, 20487, 540, 15774, 4411, 6537, 1570, 269, 30680, 589, 9692, 31793, 532, 568, 2966, 609, 513, 3114, 5888, 540, 3327, 267, 22670, 267, 8485, 5387, 267, 543, 16247, 269, 901, 8685, 532, 1568, 1134, 538, 2362, 2604, 543, 2837, 2175, 269, 634, 30680, 589, 9692, 570, 4209, 666, 6023, 19979, 2923, 1510, 14124, 519, 4540, 2497, 269, 1452, 12992, 616, 2139, 538, 13080, 1063, 476, 4968, 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 ]
[ 7340, 707, 1747, 2418, 32656, 1411, 1522, 711, 3494, 803, 2943, 267, 855, 594, 6557, 2469, 547, 6961, 547, 596, 602, 891, 1079, 17447, 616, 3160, 267, 610, 6697, 780, 1012, 1879, 3657, 5565, 31353, 4982, 20884, 2496, 2791, 666, 1491, 1022, 8918, 543, 1711, 6697, 3029, 676, 3274, 4946, 21325, 547, 519, 1318, 540, 621, 269, 898, 779, 602, 2241, 2439, 1012, 1215, 1082, 20453, 3160, 835, 13362, 2496, 11039, 267, 2724, 568, 513, 1259, 585, 721, 547, 14650, 875, 6697, 17447, 960, 269, 2913, 779, 1413, 693, 513, 13362, 269, 1548, 616, 782, 540, 519, 2081, 602, 649, 666, 1118, 513, 13362, 281, 2185, 20453, 267, 476, 1015, 546, 1307, 267, 476, 736, 12183, 1564, 267, 476, 1911, 30779, 625, 269, 3962, 540, 891, 5666, 11224, 835, 13362, 1256, 1498, 789, 616, 1500, 540, 1114, 3029, 540, 2724, 780, 1012, 6496, 621, 2339, 875, 1082, 21325, 596, 1039, 547, 519, 1318, 540, 519, 1297, 2496, 2005, 3085, 1406, 2339, 875, 1082, 21325, 596, 1039, 547, 519, 1318, 540, 519, 1297, 267, 621, 786, 2141, 581, 606, 6697, 1106, 2439, 1012, 1684, 6697, 17447, 723, 519, 1482, 1871, 2496, 13420, 20884, 17447, 960, 519, 3169, 1482, 1259, 256, 1358, 3160, 519, 1482, 1871, 1256, 1498, 789, 1413, 1114, 269, 7689, 12834, 269, 769, 713, 3992, 649, 4121, 602, 6697, 17447, 616, 1175, 17447, 602, 1413, 1114, 855, 723, 519, 1482, 1871, 780, 1012, 2913, 779, 1451, 2439, 1103, 7223, 267, 6697, 17447, 616, 1079, 8918, 2338, 602, 616, 6697, 267, 602, 568, 267, 789, 2099, 519, 1482, 1871, 610, 2179, 780, 1012, 2913, 779, 798, 621, 2439, 21156, 540, 3450, 6697, 17447, 543, 1287, 1688, 532, 856, 2259, 3211, 547, 707, 1453, 267, 2307, 873, 547, 1265, 519, 6697, 17447, 540, 519, 2338, 596, 2161, 610, 6460, 519, 8454, 596, 2161, 883, 6697, 17447, 780, 1012, 1548, 568, 6697, 8918, 2496, 13420, 20884, 17447, 616, 1022, 8918, 2338, 602, 616, 3160, 269, 27252, 3631, 1397, 875, 6697, 17447, 6445, 909, 519, 1482, 2179, 540, 519, 2898, 269, 7102, 1297, 540, 21325, 630, 271, 264, 547, 519, 1318, 540, 519, 2063, 7857, 824, 982, 4642, 630, 272, 268, 280, 264, 568, 606, 6697, 8918, 547, 519, 1482, 8918, 1297, 1510, 519, 21325, 269, 1280, 1383, 281, 476, 271, 269, 273, 815, 476, 271, 269, 736, 815, 476, 271, 269, 1220, 815, 476, 271, 269, 1220, 271, 780, 1012, 1548, 568, 519, 6697, 540, 513, 8918, 1297, 1510, 519, 21325, 2496, 12179, 8918, 1297, 609, 3606, 21325, 547, 519, 1318, 540, 2063, 7857, 824, 982, 4642, 630, 272, 268, 280, 264, 568, 6697, 547, 519, 8918, 1297, 1510, 519, 21325, 780, 1012, 1548, 568, 519, 2063, 7857, 540, 513, 1297, 602, 568, 711, 513, 4642, 2496, 16100, 693, 519, 2063, 7857, 547, 519, 1318, 602, 568, 711, 513, 4642, 630, 1415, 7857, 476, 272, 268, 280, 1040, 2334, 568, 519, 7857, 476, 272, 780, 1012, 1215, 1082, 4627, 2195, 3160, 476, 271, 269, 272, 2496, 4517, 952, 649, 2736, 519, 4627, 2195, 883, 4557, 3160, 2694, 267, 1287, 649, 786, 723, 476, 271, 269, 1911, 630, 821, 4627, 8536, 2195, 1070, 799, 849, 11224, 476, 271, 269, 272, 780, 1012, 1772, 513, 1297, 540, 21325, 513, 8918, 2496, 1103, 1249, 267, 1022, 1297, 540, 21325, 630, 271, 264, 547, 519, 1318, 540, 519, 2063, 7857, 824, 982, 4642, 630, 272, 268, 280, 264, 568, 606, 6697, 8918, 547, 519, 1482, 8918, 1297, 1510, 519, 21325, 269, 0, 11795, 22187, 5426, 14168, 454, 14607, 3596, 916, 8193, 19877, 5967, 2181, 335, 2274, 564, 24927, 2274, 564, 24927, 22069, 1903, 4569, 21642, 21366, 476, 19054, 692, 1012, 9046, 15048, 692, 11693, 1079, 9352, 12673, 513, 543, 536, 267, 649, 723, 547, 1039, 891, 1079, 12673, 543, 1287, 2132, 519, 1267, 607, 513, 9352, 5569, 269, 23030, 5569, 616, 519, 12673, 602, 3568, 1152, 476, 271, 338, 543, 476, 272, 338, 780, 2162, 7151, 692, 319, 320, 815, 834, 1556, 2580, 536, 815, 834, 272, 257, 319, 454, 319, 257, 1911, 257, 319, 454, 319, 320, 1109, 284, 1109, 257, 6200, 271, 2580, 1109, 321, 1109, 284, 1109, 257, 6200, 272, 257, 319, 454, 319, 257, 6200, 4905, 257, 26384, 1012, 13979, 692, 2690, 4946, 1079, 9352, 12673, 649, 723, 547, 1685, 1840, 3787, 676, 3787, 269, 1306, 649, 917, 1840, 568, 5340, 689, 1318, 1439, 3001, 2509, 2451, 11353, 269, 4475, 649, 723, 547, 9258, 519, 2016, 12673, 1101, 543, 1287, 649, 666, 1685, 1840, 540, 922, 11353, 4358, 689, 4994, 476, 271, 563, 2690, 13936, 3787, 1840, 5311, 649, 666, 1711, 513, 5569, 4756, 759, 543, 16289, 519, 2040, 540, 1079, 11353, 543, 4163, 693, 1439, 540, 519, 759, 5569, 585, 1142, 3787, 2990, 269, 7053, 649, 786, 2132, 519, 759, 5569, 585, 3977, 780, 2971, 23990, 692, 1892, 681, 27654, 519, 2016, 12673, 563, 1892, 8073, 606, 8900, 5569, 543, 513, 4163, 4756, 269, 19461, 1047, 4163, 609, 476, 271, 563, 1892, 3767, 621, 4733, 936, 519, 2016, 5569, 538, 513, 1247, 8520, 543, 1039, 3787, 540, 1101, 543, 2034, 5569, 2059, 609, 4163, 269, 3767, 2687, 547, 1871, 540, 1840, 16289, 519, 25739, 3787, 547, 759, 5569, 543, 849, 9337, 519, 4163, 585, 1985, 3787, 4586, 1892, 2311, 2063, 649, 723, 3977, 5569, 855, 621, 568, 538, 9258, 1931, 1317, 649, 723, 5340, 1840, 593, 20328, 3403, 5569, 585, 938, 13418, 269, 4475, 9258, 519, 3977, 5569, 543, 6368, 2132, 621, 780, 1012, 23840, 692, 2162, 595, 10030, 5358, 585, 5410, 23030, 2274, 564, 13892, 8827, 692, 3499, 258, 514, 2850, 2999, 23605, 23995, 26501, 10030, 269, 327, 11417, 6748, 4408, 10628, 31901, 16963, 19127, 842, 4163, 284, 271, 3248, 11415, 759, 284, 3269, 16963, 516, 2091, 5416, 269, 8218, 19572, 320, 269, 754, 3890, 11850, 516, 2091, 6357, 269, 8218, 19572, 321, 269, 754, 3890, 32007, 842, 1775, 284, 271, 267, 8999, 3248, 6112, 9217, 283, 320, 25915, 3890, 13466, 1775, 283, 321, 25915, 15405, 19127, 8999, 284, 4163, 16963, 604, 9217, 283, 320, 25915, 28829, 2040, 23785, 513, 5157, 316, 268, 262, 271, 262, 3248, 604, 9217, 283, 321, 25915, 28829, 2040, 23785, 536, 5157, 316, 268, 262, 271, 262, 16963, 604, 4433, 636, 2525, 271, 264, 4163, 284, 271, 267, 759, 266, 8782, 271, 262, 3248, 12828, 952, 4433, 636, 2525, 272, 264, 476, 4163, 284, 271, 267, 759, 266, 8782, 272, 262, 3248, 12828, 952, 4433, 636, 2525, 273, 264, 8364, 787, 284, 272, 267, 759, 266, 8782, 271, 262, 3248, 12828, 4163, 284, 272, 267, 759, 266, 8782, 272, 262, 16963, 328, 10030, 3248, 10926, 604, 6262, 14019, 2525, 272, 264, 476, 759, 266, 8782, 272, 262, 16963, 516, 2091, 263, 637, 269, 8218, 19572, 637, 269, 754, 3890, 11850, 8873, 759, 16963, 8679, 842, 1292, 4590, 19127, 11415, 513, 815, 834, 6200, 271, 257, 3248, 11415, 536, 815, 834, 6200, 272, 257, 3248, 348, 8199, 319, 6200, 4905, 26384, 2162, 10084, 5358, 585, 5410, 23030, 2274, 564, 13892, 8827, 692, 3499, 5814, 28162, 269, 583, 559, 30818, 16963, 5035, 1234, 868, 6856, 346, 692, 21504, 11979, 21642, 1039, 289, 2435, 263, 21803, 513, 267, 21642, 536, 994, 19127, 842, 4163, 284, 271, 16963, 21803, 30395, 518, 521, 272, 284, 2908, 21642, 30395, 518, 5416, 11850, 21803, 30395, 518, 521, 273, 284, 2908, 21642, 30395, 518, 6357, 11850, 21803, 30395, 518, 759, 284, 2908, 21642, 30395, 518, 3890, 16963, 338, 272, 18622, 2091, 3890, 3248, 338, 273, 18622, 2091, 3890, 16963, 842, 1775, 284, 271, 267, 8999, 3248, 6112, 9217, 283, 320, 32324, 3890, 13466, 1775, 283, 321, 32324, 15405, 19127, 8999, 284, 4163, 16963, 604, 9217, 283, 320, 32324, 28829, 2040, 23785, 521, 272, 269, 10420, 4263, 9217, 9984, 262, 271, 262, 3248, 604, 9217, 283, 321, 32324, 28829, 2040, 23785, 521, 273, 269, 10420, 4263, 9217, 9984, 262, 271, 262, 16963, 604, 4433, 636, 2525, 271, 994, 19127, 8364, 787, 284, 271, 3248, 637, 6910, 3488, 271, 10807, 3248, 8679, 604, 4433, 636, 2525, 272, 994, 19127, 8364, 787, 284, 271, 3248, 637, 6910, 3488, 272, 10807, 3248, 8679, 604, 4433, 636, 2525, 273, 994, 19127, 8364, 787, 284, 272, 3248, 637, 6910, 3488, 271, 10807, 3248, 8679, 604, 4433, 636, 2525, 274, 994, 19127, 8364, 787, 284, 272, 3248, 637, 6910, 3488, 272, 10807, 3248, 10926, 328, 10030, 3248, 10926, 604, 6262, 14019, 2525, 272, 264, 567, 759, 6910, 3488, 272, 262, 32007, 637, 18622, 2091, 3890, 3248, 8873, 759, 30419, 21803, 3890, 16963, 10926, 21504, 11979, 20704, 1292, 263, 21803, 26571, 314, 7481, 19127, 21803, 513, 815, 834, 6200, 271, 257, 3248, 21803, 536, 815, 834, 6200, 272, 257, 3248, 8679, 348, 8199, 319, 6200, 4905, 26384, 1012, 29203, 5811, 585, 5410, 23030, 2274, 564, 13892, 8827, 692, 2971, 5384, 29203, 692, 302, 32384, 18217, 267, 300, 4297, 2433, 7316, 715, 543, 631, 616, 13080, 540, 3403, 5569, 269, 1306, 649, 616, 21986, 532, 1312, 519, 5569, 31085, 538, 513, 2582, 8520, 267, 942, 6988, 786, 581, 3160, 547, 5021, 3259, 856, 540, 519, 1079, 3403, 12673, 16317, 2971, 6611, 29203, 692, 302, 32384, 18217, 267, 300, 4297, 2433, 1280, 13936, 519, 1267, 538, 513, 5569, 1310, 1840, 649, 991, 5569, 4171, 2450, 568, 3160, 547, 3193, 540, 3259, 540, 519, 3403, 12673, 16317, 9558, 17218, 9732, 0, 13043, 543, 25226, 454, 10481, 5852, 692, 4692, 930, 25965, 581, 513, 4009, 2496, 280, 1015, 1556, 692, 1001, 271, 268, 1556, 268, 6734, 476, 2537, 281, 2918, 281, 4366, 692, 6546, 5673, 593, 952, 519, 25965, 616, 15700, 610, 952, 596, 616, 6998, 952, 1114, 5686, 540, 25965, 616, 10945, 269, 1809, 267, 2901, 1259, 267, 782, 25965, 616, 10945, 267, 855, 711, 782, 10945, 616, 25965, 780, 16055, 494, 382, 509, 382, 492, 382, 481, 454, 271, 454, 16055, 494, 382, 509, 6893, 482, 6893, 486, 454, 271, 454, 16055, 494, 382, 509, 382, 502, 6893, 492, 454, 271, 454, 16055, 494, 382, 509, 382, 502, 382, 480, 454, 271, 692, 16665, 5999, 692, 5472, 10945, 616, 25965, 849, 267, 855, 711, 782, 25965, 616, 10945, 267, 1152, 31164, 25965, 616, 2808, 4009, 780, 288, 4009, 568, 513, 7463, 1826, 540, 513, 13551, 269, 2353, 10945, 616, 849, 25965, 267, 855, 1152, 930, 25965, 616, 10945, 780, 5591, 267, 1152, 930, 25965, 616, 10945, 269, 1280, 513, 13551, 547, 581, 513, 4009, 267, 782, 5011, 1590, 581, 3160, 630, 1492, 13551, 1590, 581, 31164, 1040, 8307, 519, 31164, 25965, 616, 10945, 267, 855, 1169, 4009, 568, 513, 13551, 269, 769, 2110, 267, 519, 10945, 616, 513, 15410, 540, 25965, 538, 799, 782, 2185, 5011, 616, 3160, 538, 3259, 269, 2368, 25965, 616, 10945, 267, 543, 782, 10945, 616, 25965, 780, 288, 4009, 568, 513, 13551, 267, 25965, 1810, 1405, 723, 547, 581, 10945, 855, 10945, 723, 547, 581, 25965, 780, 5591, 269, 634, 4009, 568, 513, 2027, 2013, 540, 13551, 1141, 782, 519, 5011, 616, 540, 3160, 3259, 269, 1924, 930, 25965, 616, 10945, 267, 543, 782, 10945, 616, 25965, 780, 8133, 267, 855, 782, 25965, 616, 711, 4009, 692, 5591, 596, 1590, 581, 12161, 532, 25965, 585, 32077, 639, 781, 692, 288, 4009, 24388, 568, 835, 4171, 1079, 7475, 616, 4009, 543, 519, 6967, 476, 275, 8188, 616, 25965, 780, 8133, 6993, 4009, 568, 513, 2027, 2186, 540, 13551, 267, 835, 609, 782, 5011, 540, 3160, 3259, 269, 1924, 782, 4009, 616, 25965, 269, 5472, 25965, 616, 711, 10945, 267, 930, 630, 2865, 264, 723, 1079, 5011, 3476, 982, 519, 824, 1079, 780, 305, 624, 9201, 1810, 1405, 723, 4009, 5072, 780, 305, 624, 9201, 723, 476, 275, 678, 3424, 7285, 543, 930, 25521, 3085, 1405, 723, 476, 275, 1318, 7285, 269, 8307, 1079, 25521, 814, 476, 275, 1318, 7285, 2073, 4009, 543, 13551, 692, 17026, 267, 15069, 26834, 19987, 267, 32077, 328, 263, 680, 1116, 585, 32077, 639, 1070, 25965, 267, 737, 2572, 692, 5472, 10945, 616, 25965, 267, 855, 711, 782, 25965, 616, 10945, 269, 26023, 267, 513, 4009, 568, 513, 13551, 1141, 782, 5011, 616, 519, 1482, 3259, 269, 1717, 267, 3246, 602, 519, 8700, 568, 3368, 540, 519, 3259, 267, 610, 13030, 17930, 267, 543, 596, 6443, 519, 1079, 25965, 2059, 519, 835, 540, 519, 5011, 602, 568, 3476, 267, 1079, 25965, 666, 1118, 513, 4009, 269, 7151, 281, 476, 272, 343, 273, 13551, 8678, 609, 1776, 476, 272, 343, 273, 13551, 786, 1118 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 621, 543, 1205, 513, 2603, 540, 1344, 827, 1018, 519, 5409, 19096, 5654, 899, 269, 271, 4343, 275, 692, 11997, 267, 519, 14584, 568, 2469, 547, 581, 693, 630, 288, 267, 271, 5148, 519, 824, 14584, 786, 581, 693, 11196, 288, 267, 271, 1040, 271, 4375, 277, 692, 2791, 616, 2469, 547, 723, 513, 1448, 909, 1934, 602, 568, 2469, 547, 581, 630, 289, 267, 271, 5148, 543, 713, 3259, 267, 645, 267, 3947, 519, 3259, 540, 3368, 540, 519, 31669, 7852, 269, 31239, 279, 692, 4517, 1287, 267, 596, 616, 2469, 547, 723, 1776, 1448, 1862, 716, 1302, 267, 602, 568, 630, 271, 32390, 1070, 1317, 621, 568, 2059, 519, 586, 14289, 1862, 534, 1278, 1448, 267, 630, 271, 16427, 289, 1040, 271, 5655, 271, 692, 1607, 3845, 568, 645, 267, 689, 713, 1448, 547, 519, 4099, 282, 713, 3845, 568, 589, 269, 271, 5655, 280, 692, 4517, 1287, 1934, 267, 594, 723, 535, 272, 543, 535, 273, 282, 543, 519, 3845, 689, 835, 540, 1346, 547, 519, 4099, 568, 595, 269, 271, 6246, 277, 692, 2026, 594, 5018, 267, 596, 666, 723, 513, 5409, 19096, 602, 568, 20218, 19794, 269, 271, 4510, 278, 692, 3383, 267, 952, 519, 29529, 7852, 568, 7299, 267, 543, 519, 4099, 568, 693, 630, 271, 267, 271, 1070, 519, 3044, 1106, 568, 971, 602, 586, 273, 568, 2404, 609, 519, 589, 273, 2165, 269, 271, 3393, 272, 692, 4517, 1934, 267, 621, 568, 2318, 281, 865, 596, 616, 2921, 586, 273, 12458, 273, 910, 1535, 273, 20324, 273, 815, 476, 272, 269, 271, 5379, 274, 692, 1103, 713, 2013, 267, 1018, 596, 616, 2469, 547, 723, 568, 513, 14584, 1318, 1934, 693, 630, 271, 267, 288, 1070, 519, 824, 14584, 568, 1934, 693, 630, 271, 16427, 288, 5148, 1934, 568, 519, 29529, 7852, 269, 271, 5325, 271, 692, 4517, 1287, 267, 596, 616, 2469, 547, 723, 519, 31669, 7852, 282, 519, 3259, 540, 3368, 540, 602, 568, 2469, 547, 581, 645, 282, 519, 3259, 540, 519, 3003, 3364, 568, 476, 273, 289, 269, 271, 4366, 273, 692, 3383, 267, 713, 568, 2469, 547, 581, 930, 1448, 267, 630, 289, 267, 271, 5148, 543, 645, 273, 568, 2016, 1934, 267, 865, 596, 1223, 3362, 1265, 645, 676, 2921, 519, 4009, 3597, 269, 271, 5392, 276, 692, 4517, 1287, 267, 936, 1934, 568, 11196, 289, 267, 271, 1040, 30588, 273, 692, 3383, 1586, 267, 972, 616, 1079, 1114, 3044, 3029, 267, 4470, 593, 952, 596, 616, 2324, 609, 513, 5409, 19096, 30588, 276, 692, 7474, 814, 513, 8880, 29529, 7852, 610, 835, 602, 814, 513, 7299, 29529, 7852, 269, 30588, 279, 692, 306, 15036, 1007, 602, 649, 4769, 1405, 2911, 827, 609, 14248, 2354, 525, 568, 29297, 4925, 269, 4962, 272, 277, 692, 13434, 718, 602, 606, 29297, 1774, 568, 513, 1899, 602, 513, 7455, 593, 513, 3113, 4485, 267, 855, 621, 2760, 2965, 10301, 269, 32180, 271, 692, 4517, 29297, 4925, 616, 1360, 3730, 950, 596, 616, 3843, 547, 3113, 513, 5409, 19096, 269, 32180, 279, 692, 763, 4834, 616, 2016, 1934, 281, 1577, 781, 979, 6619, 543, 2721, 891, 1101, 269, 4962, 274, 275, 692, 3086, 267, 11291, 602, 713, 14584, 568, 693, 513, 1448, 630, 288, 267, 271, 5148, 713, 14584, 568, 693, 11196, 288, 267, 271, 1040, 4962, 274, 277, 692, 2252, 594, 2268, 519, 3259, 1862, 10472, 568, 519, 29529, 7852, 267, 543, 621, 568, 8880, 1862, 2280, 781, 2161, 602, 621, 7140, 856, 602, 645, 568, 1318, 909, 1934, 267, 630, 271, 32390, 1040, 4962, 275, 276, 692, 4517, 645, 568, 2469, 547, 581, 519, 3259, 689, 713, 1448, 547, 519, 4099, 282, 476, 273, 289, 786, 581, 519, 3259, 540, 519, 31669, 7852, 269, 271, 4649, 276, 692, 10190, 267, 594, 993, 2469, 547, 723, 1776, 1448, 1524, 1934, 267, 630, 271, 16427, 289, 1040, 4962, 277, 275, 692, 1432, 594, 666, 798, 568, 1106, 513, 4216, 267, 513, 13551, 282, 543, 519, 13551, 568, 2469, 547, 723, 14622, 1862, 296, 993, 2469, 547, 979, 2786, 909, 1934, 543, 2066, 1934, 269, 4962, 277, 279, 692, 11997, 267, 713, 568, 2469, 547, 581, 2016, 676, 11196, 288, 32390, 5148, 602, 568, 2469, 547, 581, 835, 14584, 269, 4962, 278, 279, 692, 296, 666, 979, 936, 1934, 543, 798, 519, 1482, 3364, 282, 594, 993, 2469, 547, 979, 2786, 909, 689, 713, 14584, 267, 543, 2786, 2066, 689, 713, 1448, 269, 4962, 279, 277, 692, 4517, 602, 568, 2469, 547, 2285, 803, 519, 1448, 630, 288, 32390, 1040, 4962, 280, 273, 692, 296, 3513, 798, 519, 1482, 3364, 1934, 281, 594, 979, 1524, 2047, 543, 2721, 513, 1899, 2066, 1934, 282, 713, 1448, 568, 2469, 547, 581, 11196, 288, 16427, 289, 1040, 4962, 280, 278, 692, 3080, 3803, 14584, 568, 1318, 1934, 281, 543, 713, 568, 2016, 676, 630, 288, 16427, 289, 1040, 271, 2568, 279, 692, 10498, 267, 1631, 596, 2721, 513, 4216, 1210, 891, 589, 543, 645, 2798, 282, 543, 1287, 596, 1491, 602, 13551, 543, 2721, 519, 32377, 269, 6187, 272, 279, 692, 2252, 596, 3136, 1346, 32377, 856, 267, 596, 786, 723, 519, 1079, 29297, 4925, 585, 519, 5409, 19096, 269, 6187, 274, 271, 692, 10498, 267, 865, 1142, 540, 891, 3515, 568, 606, 29297, 1774, 269, 271, 4792, 271, 692, 4517, 5469, 602, 519, 5409, 19096, 568, 2469, 547, 1935, 713, 267, 855, 621, 568, 711, 2965, 2469, 547, 3914, 621, 269, 271, 4792, 275, 692, 3383, 267, 621, 568, 2469, 547, 3136, 593, 543, 1935, 267, 855, 711, 3914, 267, 621, 282, 621, 568, 2469, 547, 1935, 899, 602, 269, 271, 5780, 274, 692, 5472, 1318, 267, 1631, 713, 568, 835, 1259, 547, 1175, 3113, 856, 519, 29297, 4925, 269, 6187, 278, 272, 692, 2791, 666, 849, 1265, 519, 3830, 282, 543, 585, 1318, 1934, 267, 649, 616, 2324, 609, 513, 5409, 19096, 609, 513, 8880, 29529, 7852, 269, 6187, 278, 277, 692, 3383, 267, 649, 616, 2469, 547, 1413, 693, 713, 3830, 269, 6187, 279, 277, 692, 2252, 594, 729, 2324, 609, 513, 7299, 835, 267, 594, 1131, 1413, 693, 713, 3830, 269, 6187, 279, 279, 692, 3086, 267, 1018, 1281, 713, 1611, 286, 4270, 267, 586, 11224, 13008, 263, 289, 12458, 32589, 269, 6187, 280, 272, 692, 1432, 713, 2965, 568, 281, 713, 645, 12458, 3947, 519, 9386, 540, 519, 29297, 1774, 269, 6187, 280, 278, 692, 13434, 718, 602, 586, 815, 544, 343, 1341, 536, 282, 2094, 519, 4099, 568, 693, 630, 271, 267, 271, 1070, 519, 586, 25435, 568, 476, 271, 282, 865, 1934, 267, 536, 815, 476, 271, 267, 865, 594, 993, 2469, 547, 723, 586, 815, 544, 343, 269, 271, 3583, 274, 692, 763, 9386, 267, 544, 267, 568, 645, 12458, 282, 645, 12458, 585, 713, 1899, 568, 2810, 547, 519, 1318, 630, 332, 815, 645, 12458, 5148, 5881, 272, 275, 692, 663, 519, 9386, 1934, 11224, 910, 289, 12458, 267, 1141, 519, 1899, 568, 13302, 607, 649, 979, 2509, 519, 1318, 269, 5881, 273, 275, 692, 3383, 1586, 267, 972, 616, 1079, 2081, 547, 4137, 856, 891, 29297, 4925, 269, 5881, 274, 275, 692, 2791, 666, 1175, 17250, 621, 856, 676, 5373, 713, 13551, 609, 14622, 693, 11196, 288, 32390, 1070, 630, 288, 32390, 1070, 11196, 288, 16427, 289, 264, 1862, 7474, 568, 2965, 630, 288, 32390, 1070, 2318, 630, 288, 32390, 264, 1862, 528, 11196, 288, 16427, 289, 1040, 5881, 274, 278, 692, 19352, 602, 13551, 543, 8831, 519, 32377, 269, 271, 4037, 275, 692, 7775, 596, 666, 946, 519, 4542, 267, 799, 786, 2285, 596, 519, 9386, 585, 891, 1079, 29297, 4925, 269, 271, 4037, 279, 692, 2252, 596, 1175, 3323, 856, 6616, 519, 589, 781, 543, 645, 781, 543, 16668, 891, 267, 1287, 596, 1223, 3362, 17250, 519, 5409, 19096, 267, 5881, 277, 276, 692, 20357, 596, 917, 602, 621, 568, 2469, 547, 1935, 891, 29297, 4925, 269, 5881, 278, 273, 692, 10498, 267, 865, 649, 723, 14437, 513, 2603, 827, 24275, 269, 5881, 278, 279, 692, 4517, 1175, 547, 3142, 621, 782, 1927, 281, 596, 616, 2469, 547, 2253, 676, 1603, 519, 3830, 538, 3044, 1106, 269, 271, 4281, 271, 692, 4517, 1287, 267, 585, 5409, 2513, 553, 267, 596, 616, 2469, 547, 3113, 519, 1079, 29297, 4925, 267, 607, 594, 1175, 4951, 269, 271, 4281, 277, 692, 3383, 267, 1577, 781, 1376, 856, 609, 606, 1383, 281, 1577, 781, 1118, 713, 1535, 273, 270, 280, 910, 586, 273, 270, 275, 815, 476, 272, 269, 5881, 280, 271, 692, 7712, 594, 723, 713, 538, 519, 1106, 1535, 273, 12458, 273, 630, 10472, 1535, 273, 2165, 568, 2318, 1934, 1070, 24699, 272, 692, 323, 22866, 676, 586, 273, 20324, 273, 815, 476, 272, 267, 1018, 594, 723, 568, 513, 8880, 29529, 7852, 269, 24699, 280, 692, 3383, 267, 713, 6645, 803, 602, 972, 568, 513, 8880, 29529, 7852, 269, 32146, 280, 692, 3383, 267, 602, 568, 875, 713, 568, 1175, 10199, 11516, 3481, 856, 2907, 267, 6029, 519, 29529, 7852, 2059, 1934, 269, 5400, 274, 271, 692, 7712, 621, 568, 538, 713, 1106, 267, 594, 917, 602, 589, 273, 815, 476, 280, 282, 4061, 267, 589, 815, 476, 274, 269, 5400, 275, 272, 692, 1607, 814, 513, 4099, 1318, 1934, 693, 630, 271, 267, 271, 1040, 5400, 276, 274, 692, 4517, 713, 1448, 1934, 568, 2469, 547, 581, 589, 267, 799, 568, 476, 274, 267, 476, 271, 269, 5400, 277, 271, 692, 14738, 1934, 267, 594, 993, 2469, 547, 723, 910, 288, 267, 610, 910, 274, 267, 476, 271, 269, 5400, 277, 278, 692, 3383, 267, 1250, 3804, 568, 547, 1118, 602, 13551, 8831, 856, 519, 32377, 269, 5400, 278, 273, 692, 4517, 1287, 267, 594, 1131, 581, 2111, 547, 3113, 713, 7157, 269, 5400, 278, 277, 692, 10498, 267, 645, 273, 815, 476, 275, 282, 4061, 267, 645, 815, 476, 273, 282, 865, 1318, 909, 1934, 693, 630, 296, 3513, 2322, 602, 1318, 972, 264, 630, 271, 267, 273, 264, 1862, 7474, 568, 2469, 547, 581, 645, 269, 5400, 279, 273, 692, 4517, 1287, 267, 1318, 1524, 1934, 693, 630, 271, 16427, 273, 264, 1862, 271, 3445, 274, 692, 3086, 267, 782, 594, 723, 547, 798, 568, 8831, 519, 1899, 909, 1934, 543, 1934, 282, 543, 891, 616, 2469, 547, 2743, 693, 630, 273, 267, 274, 1040, 271, 3445, 278, 692, 15761, 754, 513, 1899, 856, 1934, 282, 594, 993, 2469, 547, 723, 513, 14584, 1318, 1934, 693, 11196, 274, 267, 273, 1040, 6021, 272, 277, 692, 296, 993, 2469, 547, 723, 1776, 14584, 1934, 693, 11196, 274, 16427, 273, 1070, 543, 1287, 6368, 267, 835, 936, 1934, 693, 630, 274, 16427, 273, 1040, 6021, 273, 275, 692, 3086, 267, 713, 729, 2907, 11516, 3481, 593, 1934, 585, 803, 282, 855, 14322, 621, 729, 711, 972, 267, 594, 1131, 723, 3323, 856, 676, 5373, 713, 4216, 267, 6021, 274, 277, 692, 663, 1287, 267, 5373, 891, 3515, 14178, 856, 734, 1492, 29297, 4925, 269, 6021, 275, 275, 692, 4517, 1018, 568, 2469, 547, 4755, 568, 602, 713, 5409, 19096, 568, 2965, 2469, 547, 1935, 267, 855, 621, 568, 2760, 2469, 547, 12969, 609, 267, 519, 29297, 1774, 269, 6021, 277, 271, 692, 3383, 1586, 267, 2328, 519, 3830, 538, 3044, 1106, 267, 799, 1522, 2154, 11264, 519, 4009, 269, 6021, 278, 273, 692, 296, 5795, 621, 547, 596, 538, 3044, 1106, 2907, 282, 946, 602, 547, 4137, 856, 713, 13551, 269, 6021, 278, 278, 692, 4517, 596, 616, 2469, 547, 991, 547, 917, 589, 543, 645, 547, 4137, 856, 713, 13551, 269, 6021, 279, 273, 692, 19352, 519, 29297, 4925, 267, 543, 2721, 1287, 519, 5409, 19096, 16042, 630, 8117, 711, 8757, 264, 1346, 29297, 4925, 269, 6021, 279, 276, 692, 3383, 2484, 267, 649, 723, 1044, 6158, 827, 5409, 2513, 553, 609, 513, 4099, 693, 519, 5169, 630, 271, 267, 271, 1040, 271, 4200, 274, 692, 4913, 267, 602, 568, 711, 2469, 547, 2141, 581, 519, 2013, 269, 1911, 271, 692, 2252, 519, 4099, 568, 693, 1776, 1448, 267, 630, 327, 267, 330, 1070, 602, 568, 711, 630, 271, 267, 271, 1070, 1287, 3044, 1106, 5654, 899, 713, 269, 1911, 273, 692, 2005, 568, 1360, 2147, 547, 1018, 649, 4718, 609, 519, 5169, 540, 519, 4099, 267, 4849, 3079, 540, 1175, 1535, 273, 12458, 273, 267, 649, 1631, 723, 606, 554, 543, 513, 737, 269, 1911, 279, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 17683, 281, 30016, 268, 279, 454, 12163, 287, 10461, 281, 300, 7897, 454, 287, 16942, 281, 342, 836, 322, 784, 3539, 320, 287, 326, 21166, 2593, 454, 287, 5503, 281, 476, 1708, 272, 268, 5400, 268, 1428, 476, 1556, 281, 4905, 692, 12571, 486, 23946, 370, 13213, 508, 14756, 511, 25060, 374, 25426, 368, 16088, 454, 26406, 496, 31365, 18263, 489, 12571, 492, 8147, 27882, 352, 27747, 372, 7511, 30006, 498, 20001, 481, 12571, 486, 23946, 370, 22287, 367, 23746, 692, 20701, 454, 5035, 8827, 24998, 2187, 825, 1219, 19467, 4311, 267, 11996, 2187, 1038, 8173, 1038, 2433, 6943, 11996, 281, 5903, 314, 8266, 27776, 27663, 1038, 2433, 337, 6943, 281, 5903, 314, 8266, 27776, 27663, 1038, 8173, 1038, 759, 815, 11713, 1038, 11996, 31699, 31107, 284, 14433, 1535, 281, 343, 314, 271, 7481, 1038, 585, 8884, 538, 11996, 912, 2018, 952, 711, 759, 610, 8884, 314, 271, 316, 3436, 759, 15631, 272, 6012, 272, 14158, 3546, 759, 6910, 263, 5793, 1998, 994, 2018, 3116, 912, 3546, 759, 15631, 272, 6012, 272, 316, 815, 3193, 263, 637, 15631, 272, 6012, 272, 3910, 8884, 314, 271, 7481, 1038, 2132, 759, 454, 0, 258, 17683, 281, 583, 325, 268, 279, 454, 12163, 25426, 362, 30903, 502, 418, 493, 493, 13213, 364, 16088, 22047, 12255, 14756, 482, 19404, 490, 30837, 351, 20069, 27882, 352, 12255, 25520, 420, 368, 509, 12255, 8147, 17276, 365, 480, 13213, 508, 14756, 511, 31878, 31365, 28578, 7511, 31006, 27962, 7511, 25520, 29219, 12486, 28884, 418, 365, 480, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 20992, 302, 18217, 994, 25335, 352, 19540, 367, 25913, 418, 350, 486, 16088, 454, 20693, 357, 26233, 479, 25335, 482, 10254, 496, 7511, 25335, 352, 25622, 267, 31185, 5157, 316, 23989, 419, 353, 374, 421, 479, 491, 31308, 484, 28996, 21588, 361, 328, 14748, 30317, 27381, 510, 7511, 28793, 22390, 503, 23284, 328, 14756, 497, 16533, 378, 7511, 12255, 14756, 482, 7511, 31006, 27962, 25520, 8147, 454, 28098, 30678, 21588, 361, 328, 14748, 30317, 27381, 510, 20721, 510, 30837, 508, 20069, 4970, 353, 26175, 491, 20881, 487, 418, 489, 358, 16088, 272, 24724, 31176, 491, 328, 268, 272, 14748, 30317, 27381, 510, 7511, 12255, 14756, 482, 7511, 31006, 27962, 25520, 20693, 510, 24662, 8147, 27882, 353, 28793, 31389, 5157, 268, 272, 316, 285, 271, 5405, 505, 273, 24724, 31176, 491, 328, 268, 272, 14748, 30317, 27381, 510, 7511, 12255, 14756, 482, 7511, 31006, 27962, 25520, 21251, 20693, 510, 24662, 267, 27882, 353, 28793, 31389, 5157, 268, 272, 316, 27045, 271, 692, 20701, 5035, 8827, 24998, 2187, 825, 1219, 1265, 16655, 3519, 6635, 337, 11764, 4311, 267, 2855, 2187, 1038, 562, 815, 7003, 19906, 994, 1038, 31185, 815, 1496, 271, 316, 2608, 562, 454, 1038, 31185, 314, 271, 316, 815, 2855, 314, 271, 2639, 1038, 585, 1775, 538, 2039, 263, 272, 267, 562, 2187, 2018, 10917, 272, 815, 31185, 5157, 268, 272, 316, 1341, 2855, 5157, 2639, 2018, 10917, 273, 815, 2855, 5157, 2639, 2018, 31185, 5157, 316, 815, 3193, 6025, 11391, 272, 267, 10917, 273, 994, 1038, 2132, 3193, 5560, 335, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 2855, 815, 30585, 272, 267, 273, 267, 274, 16427, 276, 267, 272, 267, 276, 267, 280, 2639, 825, 1820, 4433, 26098, 16655, 3519, 6635, 337, 11764, 19906, 4297, 0, 258, 476, 16043, 495, 10524, 361, 23746, 23284, 17958, 273, 265, 272, 7511, 16533, 493, 419, 509, 358, 25051, 351, 418, 357, 359, 419, 507, 478, 16043, 500, 26033, 483, 419, 360, 500, 419, 507, 478, 31308, 375, 26109, 484, 25203, 500, 418, 505, 368, 27962, 7511, 419, 509, 358, 25051, 351, 12486, 13644, 371, 25426, 362, 17958, 333, 14748, 273, 265, 272, 7511, 16533, 493, 419, 509, 358, 25051, 351, 20721, 510, 19404, 491, 9463, 510, 17295, 364, 26109, 484, 25203, 500, 22047, 273, 265, 333, 7511, 27962, 419, 509, 358, 25051, 351, 8147, 26233, 375, 10429, 365, 20069, 14035, 504, 16533, 495, 26175, 491, 25913, 25622, 5405, 509, 454, 258, 268, 265, 268, 8193, 281, 583, 325, 268, 279, 20609, 8894, 5035, 8827, 912, 825, 1219, 6439, 290, 1478, 4311, 267, 1297, 2187, 1038, 1948, 2328, 3009, 1934, 454, 1038, 8638, 815, 11713, 1038, 1267, 815, 476, 272, 454, 1038, 952, 1297, 2652, 476, 271, 912, 2018, 2132, 476, 271, 454, 1038, 952, 1297, 2652, 476, 272, 912, 2018, 2132, 1267, 454, 1038, 8638, 6910, 31114, 994, 1038, 8638, 6910, 31114, 994, 1038, 1775, 815, 476, 273, 454, 1038, 1247, 1775, 10922, 1297, 912, 2018, 8638, 6910, 10857, 1235, 5157, 910, 476, 272, 316, 1341, 8638, 5157, 910, 476, 273, 7481, 2018, 1775, 6834, 476, 272, 454, 1038, 2132, 8638, 5157, 910, 476, 272, 316, 0, 258, 17683, 281, 583, 325, 268, 279, 454, 12163, 25426, 362, 30903, 502, 418, 493, 493, 13213, 364, 16088, 454, 14756, 503, 27936, 22047, 419, 509, 358, 421, 502, 369, 8147, 419, 509, 358, 421, 502, 369, 23746, 23284, 13213, 505, 27310, 10524, 375, 418, 482, 493, 27310, 25520, 28578, 7511, 271, 8147, 272, 420, 377, 361, 29004, 351, 8147, 420, 377, 361, 29004, 351, 12571, 492, 7511, 419, 509, 358, 421, 502, 369, 454, 30006, 493, 13601, 27310, 421, 25693, 15159, 11590, 490, 13213, 505, 10254, 370, 28786, 419, 510, 479, 8147, 418, 365, 480, 419, 509, 358, 421, 502, 369, 420, 377, 361, 29004, 351, 12571, 492, 11590, 490, 13213, 505, 10254, 370, 28786, 419, 510, 479, 31006, 27962, 7511, 25520, 29219, 692, 25335, 352, 19540, 367, 25913, 418, 350, 486, 16088, 454, 25263, 502, 10429, 486, 27310, 420, 377, 361, 29004, 351, 8147, 16533, 484, 16533, 377, 19404, 493, 16533, 484, 421, 360, 502, 12916, 491, 420, 377, 361, 29004, 351, 20992, 272, 454, 10429, 370, 418, 361, 350, 28578, 420, 377, 361, 29004, 351, 8147, 30006, 493, 13601, 28578, 7511, 12255, 421, 25693, 15159, 25203, 372, 12571, 490, 7511, 8147, 19867, 478, 23284, 28578, 19867, 478, 21928, 7511, 272, 8147, 420, 370, 488, 14035, 504, 420, 370, 488, 417, 354, 377, 454, 20701, 5035, 8827, 24998, 2187, 825, 1219, 1558, 3700, 307, 4311, 267, 589, 2187, 1038, 544, 815, 7003, 10490, 994, 1038, 562, 815, 7003, 10490, 314, 271, 7481, 1038, 9587, 815, 20886, 271, 30297, 332, 585, 1775, 538, 2039, 3799, 22708, 1038, 585, 1775, 267, 4737, 538, 26246, 10490, 2187, 2018, 585, 795, 267, 897, 538, 26246, 21405, 2187, 3546, 9587, 14728, 6012, 328, 316, 815, 897, 692, 1038, 2132, 9587, 692, 825, 1219, 2780, 10734, 2435, 19571, 4311, 267, 331, 2187, 1038, 562, 815, 7003, 10857, 994, 1038, 1535, 815, 1496, 273, 1262, 328, 585, 1775, 538, 2039, 3799, 22708, 1038, 561, 18622, 2091, 4590, 1038, 759, 815, 4786, 10857, 10033, 513, 14720, 281, 320, 265, 321, 21726, 267, 331, 994, 1038, 2132, 2040, 263, 637, 994, 825, 1219, 5119, 30360, 4311, 267, 589, 2187, 1038, 8173, 1038, 2433, 6943, 589, 281, 5903, 314, 8266, 27776, 27663, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 12361, 476, 27310, 16088, 31006, 421, 360, 502, 12916, 491, 20992, 272, 454, 1038, 585, 967, 267, 4737, 538, 26246, 10490, 2187, 2018, 952, 4737, 314, 271, 316, 2652, 476, 271, 912, 3546, 585, 1775, 25814, 538, 26246, 21405, 2187, 7386, 952, 795, 2652, 476, 271, 912, 13376, 4737, 5157, 24557, 272, 454, 7386, 3116, 912, 13376, 4737, 5157, 24557, 271, 454, 3546, 1820, 21405, 994, 2018, 589, 314, 785, 316, 815, 4737, 692, 1038, 12361, 476, 28578, 16088, 272, 7511, 12255, 19404, 493, 31006, 14035, 504, 454, 1038, 1948, 476, 10429, 486, 13213, 505, 27310, 420, 377, 361, 419, 377, 362, 454, 1038, 589, 318, 307, 815, 1582, 269, 5471, 3700, 307, 10490, 994, 1038, 585, 967, 267, 4737, 538, 26246, 10490, 318, 307, 2187, 2018, 1293, 271, 815, 476, 271, 454, 2018, 1293, 272, 815, 476, 271, 454, 2018, 585, 1775, 538, 4737, 912, 3546, 952, 1775, 2652, 476, 272, 912, 7386, 1293, 272, 23785, 272, 454, 3546, 3116, 912, 7386, 1293, 271, 23785, 272, 454, 2018, 952, 1293, 272, 283, 1293, 271, 912, 3546, 1948, 13127, 28187, 31563, 272, 7511, 12255, 25203, 362, 27962, 30678, 271, 7511, 12255, 25203, 362, 8147, 421, 480, 352, 18263, 486, 13213, 505, 27310, 420, 377, 361, 29004, 351, 454, 25639, 585, 1775, 25814, 538, 26246, 21405, 2187, 7386, 952, 795, 2652, 476, 271, 912, 13376, 4737, 5157, 24557, 272, 454, 7386, 3116, 912, 13376, 4737, 5157, 24557, 271, 3097, 2018, 589, 318, 307, 314, 785, 316, 815, 4737, 28329, 1038, 1948, 19540, 491, 13213, 505, 27310, 420, 377, 361, 419, 377, 362, 454, 1038, 589, 815, 1582, 269, 5471, 3700, 307, 10490, 318, 307, 994, 1038, 759, 815, 476, 271, 454, 1038, 585, 4737, 538, 589, 912, 2018, 4737, 23544, 815, 1582, 2593, 13459, 10734, 2435, 19571, 21405, 994, 2018, 759, 6834, 4737, 23544, 454, 1038, 2132, 759, 13872, 1363, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 589, 815, 20886, 271, 267, 271, 267, 272, 267, 272, 25662, 272, 267, 271, 267, 272, 267, 271, 25662, 272, 267, 272, 267, 271, 267, 271, 27663, 825, 521, 269, 9795, 30360, 10490, 264, 0, 258, 268, 265, 268, 322, 5317, 281, 583, 325, 268, 279, 268, 265, 8894, 5035, 8827, 24998, 2187, 258, 420, 503, 377, 419, 482, 370, 20881, 504, 13213, 485, 29072, 8147, 12916, 484, 15159, 10533, 486, 27064, 485, 22909, 479, 12916, 492, 8147, 13213, 502, 15159, 28884, 417, 500, 482, 30678, 17958, 12248, 417, 499, 488, 2676, 258, 8873, 7575, 29644, 3488, 308, 10807, 2652, 7575, 29644, 3488, 291, 10807, 543, 7575, 29644, 3488, 299, 10807, 2652, 7575, 29644, 3488, 305, 5073, 825, 1219, 9794, 290, 22511, 4311, 267, 7575, 2187, 1038, 8173, 1038, 2433, 6943, 7575, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 7575, 9078, 815, 1592, 9852, 7174, 994, 1038, 9206, 318, 340, 815, 476, 272, 454, 1038, 9206, 5091, 815, 910, 272, 454, 1038, 9206, 9078, 815, 476, 273, 454, 1038, 9206, 24417, 815, 910, 273, 454, 1038, 2040, 815, 476, 271, 454, 1038, 585, 552, 538, 7575, 9078, 912, 2018, 952, 552, 2652, 1412, 308, 12466, 3546, 2040, 6834, 9206, 318, 340, 454, 2018, 952, 552, 2652, 1412, 291, 12466, 3546, 2040, 6834, 9206, 5091, 454, 2018, 952, 552, 2652, 1412, 299, 12466, 3546, 2040, 6834, 9206, 9078, 454, 2018, 952, 552, 2652, 1412, 305, 12466, 3546, 2040, 6834, 9206, 24417, 454, 1038, 952, 2040, 2652, 476, 271, 912, 2018, 2132, 6936, 454, 1038, 2132, 8771, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 1820, 4433, 269, 9080, 613, 290, 22511, 2891, 28384, 257, 4297, 0, 12163, 22047, 10951, 374, 417, 503, 357, 32512, 12916, 491, 30678, 22047, 544, 1535, 562, 22614, 377, 495, 21550, 376, 7511, 26266, 355, 31968, 25335, 496, 5236, 376, 486, 420, 369, 371, 417, 356, 489, 30536, 21928, 31284, 18713, 378, 18809, 21550, 485, 18777, 364, 20992, 2108, 9359, 892, 5236, 376, 487, 12486, 692, 10951, 374, 417, 503, 357, 32512, 30006, 493, 418, 361, 350, 9463, 359, 420, 25693, 12571, 495, 31284, 16043, 500, 26033, 483, 12571, 495, 9463, 367, 26175, 375, 20693, 357, 13601, 27882, 354, 12486, 10951, 374, 417, 503, 357, 32512, 13644, 499, 18713, 378, 20001, 378, 28996, 419, 377, 495, 21550, 376, 7511, 9463, 367, 31284, 25335, 496, 27818, 21928, 31284, 18713, 378, 18809, 21550, 485, 18777, 364, 20992, 2108, 19226, 880, 892, 24724, 12486, 692, 27064, 364, 21928, 26033, 481, 420, 503, 495, 419, 377, 495, 21550, 376, 18809, 20069, 421, 504, 506, 419, 351, 491, 29830, 358, 8147, 421, 504, 506, 419, 351, 491, 29830, 358, 17958, 272, 23521, 354, 23989, 419, 353, 374, 8147, 271, 23989, 419, 353, 374, 419, 358, 374, 419, 377, 495, 21550, 376, 12486, 421, 480, 352, 18263, 486, 10524, 492, 26266, 355, 31968, 25335, 496, 28996, 9463, 367, 31284, 25335, 496, 16533, 484, 25263, 504, 20069, 14035, 504, 16533, 495, 23521, 350, 21251, 12571, 490, 7511, 420, 371, 363, 23523, 482, 5405, 509, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 684, 1664, 1790, 23411, 268, 4512, 692, 31389, 26233, 507, 420, 371 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 273, 333, 268, 272, 267, 476, 273, 333, 268, 274, 267, 2507, 267, 476, 274, 267, 476, 272, 2609, 630, 22103, 1284, 1205, 713, 676, 4358, 609, 513, 31062, 5832, 267, 1287, 2921, 513, 31062, 5832, 593, 1018, 3788, 3092, 269, 898, 779, 7168, 1454, 519, 1101, 3364, 596, 2461, 2693, 547, 2119, 780, 13706, 606, 1884, 747, 664, 609, 2450, 589, 538, 519, 630, 333, 28504, 284, 274, 264, 7470, 267, 543, 1788, 883, 519, 2034, 543, 3791, 10974, 269, 634, 3239, 5036, 616, 3982, 267, 1317, 6382, 513, 1875, 2389, 337, 20190, 840, 268, 13548, 1131, 581, 513, 5832, 269, 1924, 649, 723, 589, 5036, 538, 519, 630, 333, 28504, 284, 273, 264, 7470, 269, 1215, 1082, 666, 581, 538, 1142, 5832, 538, 519, 17883, 630, 22103, 4270, 267, 952, 972, 616, 811, 982, 562, 538, 1022, 5832, 538, 630, 15992, 1287, 1079, 1590, 723, 1044, 25528, 689, 2609, 540, 519, 630, 333, 28504, 284, 274, 264, 7470, 609, 519, 1482, 1101, 11282, 267, 543, 865, 14183, 513, 2270, 618, 6935, 269, 1924, 538, 1249, 972, 616, 693, 1034, 562, 3239, 2798, 538, 1022, 540, 519, 11800, 540, 630, 22103, 1924, 649, 1631, 723, 513, 3808, 540, 1269, 333, 317, 273, 10608, 1809, 540, 1576, 267, 930, 540, 519, 11800, 538, 630, 8472, 723, 3259, 1447, 982, 562, 267, 865, 649, 616, 18530, 2476, 1344, 269, 11569, 267, 519, 1297, 540, 2592, 2798, 538, 513, 2016, 5832, 568, 693, 1034, 692, 7445, 10946, 3799, 12101, 3667, 346, 26319, 540, 5832, 348, 1070, 6911, 663, 865, 519, 1297, 540, 3239, 2798, 538, 2698, 568, 22112, 676, 692, 259, 333, 10954, 24126, 266, 333, 266, 630, 333, 268, 272, 11924, 263, 333, 268, 274, 264, 10954, 24126, 266, 272, 267, 6911, 3602, 972, 616, 562, 270, 273, 12215, 540, 562, 538, 519, 1101, 3368, 540, 519, 2040, 269, 28518, 713, 2040, 3947, 4399, 2765, 346, 274, 333, 317, 273, 2410, 275, 20954, 4010, 607, 649, 4941, 780, 27066, 692, 314, 272, 316, 1107, 645, 3326, 984, 553, 267, 26064, 630, 1960, 272, 264, 1107, 3281, 11306, 543, 1772, 6016, 574, 13011, 21153, 8017, 269, 12232, 1930, 14092, 947, 1934, 780, 258, 932, 1622, 543, 1884, 747, 1622, 692, 296, 4076, 5063, 1044, 693, 519, 5177, 6953, 2426, 776, 5162, 522, 9805, 328, 611, 3786, 538, 570, 1092, 267, 585, 1018, 568, 1631, 1250, 15795, 942, 269, 1306, 1134, 607, 3257, 930, 540, 1250, 1378, 960, 267, 723, 10150, 519, 4686, 4129, 542, 540, 930, 15002, 2065, 2036, 13541, 923, 269, 898, 4667, 547, 581, 513, 2199, 14583, 540, 519, 25190, 517, 23346, 6240, 602, 2016, 3670, 2395, 693, 513, 6310, 2680, 538, 21640, 267, 693, 2547, 835, 3693, 689, 2715, 305, 4461, 599, 3069, 267, 661, 6113, 657, 4149, 2763, 651, 637, 267, 1884, 747, 1622, 538, 519, 5409, 322, 4209, 348, 786, 581, 5941, 267, 609, 5506, 835, 269, 2201, 713, 8317, 267, 782, 941, 5941, 267, 865, 594, 2219, 594, 8910, 2328, 1945, 827, 693, 2547, 835, 540, 873, 780, 303, 657, 1115, 543, 9859, 1035, 5670, 545, 11708, 692, 1607, 3357, 909, 593, 519, 1966, 1305, 9112, 676, 519, 23826, 3401, 269, 634, 3312, 19862, 4280, 1053, 547, 1397, 602, 1851, 1022, 476, 1704, 2318, 9981, 267, 972, 616, 2901, 2947, 971, 602, 1100, 835, 17337, 1022, 824, 267, 610, 2947, 971, 602, 1851, 1022, 6292, 267, 835, 17337, 519, 824, 780, 2005, 568, 9425, 2312, 1946, 1297, 3069, 4249, 2370, 1909, 269, 1284, 3651, 519, 2016, 9981, 547, 519, 14622, 540, 513, 3113, 267, 543, 8164, 513, 17337, 536, 267, 649, 1039, 513, 9859, 6316, 689, 519, 14584, 7222, 547, 513, 547, 519, 14584, 7222, 547, 536, 269, 11109, 12261, 519, 2016, 3510, 883, 513, 17033, 2036, 13541, 658, 3948, 267, 22508, 2299, 649, 666, 14377, 519, 3804, 883, 519, 1482, 1893, 269, 1403, 649, 666, 1265, 513, 5832, 540, 2185, 9859, 8728, 630, 1156, 576, 2947, 14622, 1107, 581, 2264, 14845, 946, 540, 519, 2262, 2048, 26319, 685, 1934, 264, 1287, 649, 723, 1336, 519, 2034, 2009, 4781, 269, 6684, 267, 952, 649, 666, 1265, 606, 1109, 656, 747, 664, 267, 513, 1305, 540, 2947, 14622, 609, 1100, 9859, 8728, 1063, 873, 267, 1287, 649, 723, 1336, 519, 1101, 2009, 4781, 780, 2005, 779, 4502, 15663, 602, 519, 9859, 3113, 649, 616, 2324, 609, 609, 568, 1098, 1438, 269, 2334, 568, 267, 8164, 972, 568, 606, 6316, 513, 15010, 321, 543, 536, 15010, 322, 267, 972, 786, 849, 581, 606, 6316, 513, 15010, 322, 269, 901, 5205, 5612, 689, 519, 8954, 2225, 2783, 269, 1703, 616, 849, 1100, 9859, 9979, 538, 519, 3113, 267, 2094, 6382, 972, 1131, 581, 513, 4783, 540, 9981, 1141, 1142, 5258, 922, 24288, 269, 1809, 540, 1576, 267, 950, 513, 17337, 536, 543, 891, 616, 3982, 2318, 9981, 267, 713, 1797, 602, 536, 568, 14553, 3677, 982, 513, 267, 543, 865, 713, 6935, 3112, 4783, 780, 1103, 1249, 267, 1851, 513, 1305, 540, 2318, 9981, 267, 8954, 2225, 11225, 513, 9864, 1931, 267, 799, 649, 1522, 3442, 547, 5581, 607, 1022, 19280, 2436, 519, 2404, 9859, 3113, 568, 1098, 1438, 543, 1035, 5670, 545, 267, 4352, 15069, 649, 1223, 946, 1893, 811, 6923, 2404, 609, 1931, 902, 269, 23657, 1259, 267, 689, 1631, 593, 649, 2015, 1064, 1115, 543, 519, 2404, 667, 8980, 338, 630, 323, 20526, 1035, 5670, 545, 11708, 264, 30430, 780, 291, 559, 10290, 779, 11532, 692, 1103, 519, 3312, 1966, 267, 649, 616, 3168, 585, 2901, 513, 1804, 5832, 267, 610, 513, 1804, 1884, 747, 664, 269, 1284, 616, 3843, 547, 6961, 602, 621, 779, 711, 2009, 547, 723, 4102, 5832, 2450, 693, 1034, 2185, 267, 543, 4102, 1884, 747, 664, 2450, 693, 1034, 2185, 950, 972, 616, 476, 1704, 14622, 267, 865, 649, 14353, 972, 949, 930, 5817, 2497, 281, 538, 930, 2631, 5310, 519, 14584, 1305, 568, 519, 2048, 28237, 685, 540, 513, 5832, 543, 606, 1884, 747, 664, 267, 610, 693, 2547, 513, 1505, 540, 6721, 1884, 747, 1622, 689, 513, 2582, 14584, 780, 12179, 3118, 267, 835, 3948, 540, 667, 559, 10290, 779, 11532, 568, 607, 5205, 1384, 13750, 618, 476, 272, 281, 538, 513, 1064, 564, 609, 16354, 266, 272, 2609, 267, 972, 568, 2901, 513, 5832, 540, 2450, 562, 266, 272, 267, 610, 606, 1884, 747, 664, 540, 2450, 544, 266, 272, 780, 21982, 562, 284, 332, 284, 275, 5612, 26088, 519, 3312, 1966, 827, 3885, 540, 16975, 269, 2755, 713, 568, 519, 1034, 3730, 3948, 1934, 267, 621, 779, 4440, 711, 519, 3312, 267, 799, 3081, 519, 1739, 1384, 13750, 618, 476, 273, 281, 538, 513, 1064, 564, 267, 972, 6818, 4399, 24837, 346, 290, 4151, 513, 17883, 883, 11800, 267, 543, 606, 1884, 747, 664, 1269, 288, 259, 971, 602, 1269, 24689, 24837, 346, 290, 348, 347, 284, 347, 288, 347, 16859, 7230, 1046, 476, 272, 281, 8074, 602, 585, 1022, 17883, 883, 11800, 543, 1022, 1884, 747, 664, 267, 649, 723, 1269, 24689, 24837, 346, 290, 348, 24689, 613, 1923, 288, 347, 8961, 2094, 596, 666, 1406, 723, 811, 982, 835, 11347, 689, 1022, 5832, 538, 519, 1884, 747, 664, 269, 1924, 15048, 476, 273, 568, 6031, 602, 7862, 1281, 2965, 3180, 780, 7230, 1046, 476, 273, 281, 15048, 476, 272, 5205, 5612, 689, 15048, 476, 273, 269, 1403, 782, 1884, 747, 1622, 1185, 2450, 693, 1034, 544, 267, 1287, 972, 779, 513, 17883, 883, 693, 1034, 544, 11800, 269, 1809, 1142, 5832, 814, 2450, 562, 267, 865, 519, 2698, 2450, 540, 519, 3113, 568, 693, 1034, 544, 333, 269, 2552, 2784, 2109, 780, 308, 985, 22066, 6169, 2994, 585, 667, 559, 10290, 692, 7712, 1585, 5100, 1762, 1004, 945, 4769, 1406, 917, 519, 3948, 610, 6169, 540, 667, 559, 10290, 779, 11532, 13986, 547, 1265, 621, 630, 514, 519, 1106, 540, 15048, 476, 272, 267, 543, 538, 513, 2027, 2013, 264, 538, 13113, 942, 2175, 267, 621, 779, 2653, 547, 2911, 827, 1018, 3085, 1406, 960, 267, 543, 2119, 547, 2744, 7214, 1871, 676, 27216, 1946, 780, 1892, 1280, 1326, 1154, 8846, 281, 538, 2489, 835, 1522, 1134, 4323, 513, 1966, 676, 6998, 2436, 649, 723, 811, 1344, 982, 649, 991, 269, 1809, 24937, 519, 8846, 540, 519, 8728, 568, 18530, 2476, 1932, 1454, 1344, 269, 2991, 3257, 713, 267, 1884, 747, 1622, 616, 5386, 267, 855, 6148, 596, 991, 547, 8858, 930, 3768, 20526, 2048, 577, 1622, 9957, 28791, 891, 3768, 20526, 11800, 616, 1454, 3476, 982, 596, 616, 17935, 585, 267, 596, 786, 6560, 547, 18949, 9859, 11800, 856, 540, 873, 563, 1892, 7316, 666, 519, 3803, 14584, 979, 286, 281, 538, 513, 5929, 7708, 701, 267, 835, 1522, 8858, 513, 9859, 3113, 593, 16354, 14622, 609, 9444, 513, 5832, 540, 2450, 562, 266, 272, 6862, 606, 1884, 747, 664, 540, 2450, 544, 266, 272, 269, 1284, 3801, 547, 8044, 602, 713, 4070, 568, 9247, 2189, 267, 543, 602, 621, 4422, 4636, 950, 649, 1039, 606, 3063, 14584, 269, 1306, 513, 2489, 1448, 267, 621, 4667, 12691, 547, 581, 4443, 547, 6961, 602, 4010, 835, 1362, 540, 19383, 814, 513, 2016, 3959, 538, 519, 16354, 2013, 267, 982, 547, 6961, 1100, 19383, 814, 519, 1482, 3959, 538, 519, 16354, 266, 272, 2013, 269, 589, 1796, 29671, 6169, 540, 22464, 568, 2693, 547, 581, 2182, 267, 610, 513, 24320, 2213, 556, 327, 1662, 540, 606, 4890, 6169, 540, 519, 3312, 3948, 563, 1892, 3816, 8221, 513, 5832, 281, 1403, 596, 4894, 513, 5832, 540, 31062, 3259, 267, 1287, 267, 585, 27171, 267, 1018, 596, 723, 2451, 568, 544, 3799, 268, 272, 11924, 272, 14622, 269, 1403, 596, 723, 513, 1279, 5832, 2451, 267, 1287, 596, 2461, 2944, 267, 4352, 12366, 1275, 814, 8854, 4636, 12341, 269, 1924, 596, 723, 606, 1884, 747, 664, 2450, 562, 538, 1018, 3788, 269, 1809, 621, 779, 11207, 15458, 1946, 621, 1058, 581, 2009, 547, 8831, 519, 1884, 747, 664, 609, 835, 540, 519, 14622, 596, 4076, 1175, 6569, 780, 2304, 4890, 6169, 540, 667, 559, 10290, 630, 13750, 618, 476, 272, 1070, 543, 1079, 4539, 692, 1607, 3884, 1406, 2731, 513, 6169, 267, 3079, 513, 1259, 540, 1362, 4328, 519, 14622, 538, 519, 9859, 3113, 865, 602, 713, 4528, 540, 667, 559, 10290, 269, 1306, 649, 1767, 4505, 267, 649, 4952, 972, 949, 581, 930, 1587, 2497, 269, 769, 1880, 267, 649, 2503, 547, 581, 2111, 547, 1265, 513, 31062, 5832, 267, 543, 513, 8799, 1884, 747, 664, 2404, 547, 1142, 3693, 540, 519, 31062, 5832, 780, 2171, 1376, 676, 15603, 1269, 309, 318, 271, 259, 2874, 540, 782, 519, 14622, 799, 616, 2959, 267, 602, 568, 267, 723, 4642, 967, 12801, 269, 1452, 616, 6922, 320, 538, 519, 9864, 19280, 4259, 269, 3767, 1577, 1269, 309, 318, 272, 259, 2874, 540, 782, 14622, 4171, 538, 16250, 662, 13118, 3125, 568, 7357, 8659, 538, 1269, 309, 318, 271, 8961, 602, 568, 789, 616, 13956, 757, 1152, 540, 1269, 309, 318, 271, 10608, 3973, 1577, 1269, 309, 318, 273, 259, 2874, 540, 782, 6967, 14622, 4171, 538, 16250, 662, 712, 3125, 568, 7357, 8659, 538, 1269, 309, 318, 271, 315, 24189, 966, 318, 272, 259, 630, 8117, 711, 7357, 538, 1269, 309, 318, 271, 8961, 6382, 621, 1131, 723, 2907, 1044, 5701, 1070, 543, 865, 593, 269, 1284, 1439, 909, 609, 1018, 835, 1522, 1289, 606, 22323, 17883, 540, 519, 14622, 1759, 593, 875, 2484, 789, 616, 689, 519, 2959, 269, 1284, 1439, 909, 609, 1269, 309, 318, 271, 267, 309, 318, 272, 12101, 24126, 267, 309, 17624, 8961, 543, 1287, 649, 666, 1265, 513, 5832, 540, 2450, 737, 266, 272, 676, 4358, 609, 1022, 14584, 538, 1269, 309, 17624, 259, 543, 14335, 23651, 2509, 519, 2707, 269, 1717, 267, 713, 568, 849, 519, 4102, 2009, 2450, 540, 513, 5832, 267, 1317, 1169, 942, 649, 1847, 909, 513, 1377, 538, 519, 5832, 267, 649, 1590, 1847, 689, 1269, 309, 10983, 259, 547, 1269, 309, 19553, 259, 1141, 795, 285, 328, 780, 2005, 779, 2653, 547, 2638, 602, 1142, 1269, 309, 10983, 259, 568, 606, 1884, 747, 664, 267, 543, 3976, 649, 666, 1224, 1055, 15048, 476, 272, 269, 589, 2370, 811, 1416, 267, 543, 4440, 606, 31602, 4661, 568, 2838, 547, 7017, 15048, 476, 273, 780, 2171, 723, 2705, 9863, 1018, 568, 1419, 1572, 519, 12242, 540, 667, 559, 10290, 779, 11532, 267, 12077, 602, 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 ]
[ 910, 476, 272, 15014, 593, 6129, 1421, 2904, 476, 1240, 563, 294, 2784, 13957, 32402, 1115, 454, 294, 2784, 13957, 32402, 1115, 979, 593, 9042, 11728, 693, 12899, 269, 634, 1942, 568, 1269, 1911, 543, 11974, 1058, 581, 1500, 856, 547, 8863, 306, 623, 15598, 269, 9796, 3007, 547, 519, 6640, 14773, 906, 585, 811, 1344, 593, 9042, 7389, 269, 27240, 13957, 32402, 1115, 1590, 581, 12349, 676, 4989, 476, 1704, 628, 269, 901, 568, 513, 18557, 1633, 21120, 543, 972, 786, 581, 12971, 3063, 17914, 2139, 585, 6718, 1310, 602, 4266, 563, 25938, 1640, 11314, 17963, 585, 476, 1001, 274, 270, 1001, 275, 454, 307, 12447, 543, 4210, 574, 4741, 910, 11016, 267, 4989, 476, 1556, 454, 293, 27518, 267, 4989, 476, 1556, 628, 267, 20650, 1058, 12446, 693, 1153, 676, 476, 1015, 281, 1789, 600, 269, 20231, 20650, 945, 723, 6976, 585, 741, 9972, 15143, 543, 5828, 538, 519, 10479, 1106, 786, 4604, 519, 21772, 538, 519, 4395, 540, 1153, 4098, 693, 476, 1015, 281, 3393, 269, 590, 2894, 296, 27633, 631, 19851, 25526, 17395, 454, 15578, 645, 4785, 9215, 6730, 20978, 5990, 12601, 7728, 269, 590, 2894, 296, 27633, 10790, 312, 10691, 19010, 25893, 5990, 5960, 5085, 309, 2464, 9215, 5990, 12601, 7728, 267, 715, 3036, 10790, 312, 5990, 312, 700, 12788, 12717, 661, 2752, 14877, 563, 763, 3095, 585, 4832, 1153, 1344, 568, 4092, 896, 26257, 454, 22033, 593, 519, 2451, 2427, 540, 713, 2985, 269, 8437, 593, 834, 11764, 1067, 3427, 8487, 10267, 518, 8347, 4934, 338, 256, 0, 288, 31494, 693, 1849, 684, 344, 267, 13095, 559, 334, 729, 3957, 705, 15318, 538, 476, 4200, 275, 269, 1261, 13736, 1390, 513, 13831, 885, 267, 543, 4421, 5939, 16782, 547, 3049, 519, 4057, 1282, 513, 26380, 538, 476, 1911, 277, 269, 4438, 1010, 705, 321, 2329, 267, 646, 2799, 15186, 267, 519, 1297, 540, 705, 2041, 903, 8200, 593, 1849, 684, 344, 267, 543, 609, 2806, 15318, 9400, 540, 12142, 13305, 22828, 729, 3743, 585, 519, 10343, 538, 5333, 540, 834, 1492, 1854, 576, 540, 2696, 257, 543, 519, 4341, 10018, 532, 25113, 547, 1346, 5275, 9675, 538, 513, 5939, 269, 1261, 729, 13991, 547, 519, 5549, 28271, 543, 519, 645, 1652, 539, 7910, 269, 1261, 22305, 13894, 2353, 27804, 3149, 262, 4303, 609, 606, 5993, 862, 655, 2610, 540, 519, 8977, 539, 21705, 267, 543, 4810, 3235, 560, 9313, 269, 7629, 519, 2063, 2947, 1296, 540, 1010, 1272, 267, 646, 5747, 1247, 593, 513, 1471, 2787, 540, 1010, 20708, 625, 693, 513, 17028, 800, 693, 27804, 341, 793, 344, 593, 5130, 476, 272, 269, 1261, 1185, 1044, 705, 15318, 585, 811, 982, 15823, 1296, 269, 3571, 21649, 1554, 568, 5130, 476, 272, 563, 2691, 853, 269, 631, 600, 1068, 19434, 729, 2806, 15318, 540, 519, 27694, 799, 853, 269, 4436, 639, 1185, 8547, 693, 589, 5060, 518, 516, 267, 972, 3357, 547, 1864, 513, 1762, 812, 1572, 3057, 857, 534, 630, 10193, 1634, 607, 631, 4115, 1070, 513, 535, 1872, 1438, 689, 25816, 2471, 1287, 13026, 676, 3267, 3136, 2542, 5415, 12142, 540, 519, 4303, 454, 1805, 269, 20710, 1326, 8452, 538, 8581, 513, 1906, 1296, 1310, 853, 269, 18536, 269, 4173, 4651, 729, 606, 9721, 18459, 3957, 13660, 696, 864, 269, 1306, 20710, 1326, 8057, 909, 267, 1352, 2968, 2868, 1512, 543, 811, 533, 1190, 1142, 1554, 269, 2701, 6068, 519, 4057, 543, 1131, 1419, 3142, 1426, 543, 7802, 547, 873, 269, 2290, 1554, 1352, 5795, 2476, 513, 3267, 3136, 2542, 5415, 21058, 29513, 454, 1805, 269, 7812, 519, 5246, 13370, 910, 3171, 770, 1554, 910, 5181, 476, 3066, 628, 634, 2012, 7812, 19752, 834, 8005, 568, 899, 547, 2696, 8119, 543, 729, 519, 2112, 322, 787, 540, 519, 1434, 23109, 538, 519, 6370, 10692, 538, 13140, 1996, 2893, 534, 543, 1010, 13794, 269, 10513, 23075, 6257, 853, 269, 7812, 607, 834, 821, 540, 519, 8783, 3267, 3136, 2542, 454, 763, 2012, 28792, 1797, 834, 2006, 540, 2696, 2437, 610, 834, 18661, 814, 3254, 5128, 22800, 1701, 898, 5526, 1101, 538, 519, 4412, 1127, 625, 540, 12253, 538, 519, 6196, 11620, 269, 634, 21425, 9307, 547, 12253, 519, 28897, 540, 519, 29235, 4374, 269, 3571, 2012, 849, 4386, 538, 519, 3284, 665, 787, 13921, 1433, 540, 7009, 5255, 269, 1261, 729, 519, 3267, 3136, 2542, 454, 257, 13014, 707, 16784, 609, 519, 13265, 282, 25176, 689, 519, 20384, 281, 8977, 711, 689, 519, 5783, 2437, 7261, 22567, 740, 3000, 1639, 524, 622, 577, 636, 839, 11303, 676, 646, 637, 344, 269, 1452, 941, 4412, 4854, 1913, 585, 7261, 22567, 729, 547, 581, 554, 15903, 3267, 3136, 2542, 454, 3528, 4860, 269, 8834, 631, 269, 808, 269, 853, 9545, 1231, 330, 553, 267, 1912, 6185, 1421, 590, 11053, 6185, 563, 1607, 2203, 540, 4168, 812, 17349, 15565, 5128, 547, 721, 711, 585, 1022, 9490, 610, 3078, 1919, 646, 1705, 630, 20357, 646, 2731, 4769, 1405, 264, 855, 585, 519, 3232, 6947, 547, 543, 646, 5338, 519, 5639, 540, 31471, 26663, 2696, 910, 538, 519, 1753, 267, 538, 519, 31263, 4084, 543, 13527, 267, 538, 519, 3267, 3136, 2542, 5415, 4168, 29513, 1299, 32445 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 763, 4229, 9117, 593, 513, 1560, 1039, 607, 10321, 267, 543, 865, 519, 2698, 3196, 593, 513, 1560, 5673, 2390, 1312, 519, 3172, 6421, 543, 519, 8846, 540, 519, 1367, 4229, 269, 1879, 519, 2121, 3196, 593, 513, 1560, 568, 3160, 547, 4642, 267, 1287, 676, 13053, 781, 2034, 1876, 267, 519, 1560, 1281, 711, 17108, 267, 543, 621, 568, 1767, 547, 581, 538, 7344, 11466, 269, 589, 1533, 540, 7344, 11466, 568, 7123, 952, 267, 950, 519, 2990, 540, 519, 1560, 568, 4957, 5594, 267, 519, 1560, 3788, 2282, 602, 11466, 269, 19227, 267, 519, 11466, 568, 18633, 780, 288, 1455, 3308, 6041, 540, 4229, 9117, 538, 13447, 568, 519, 1863, 1560, 6516, 267, 799, 1085, 3012, 1227, 28420, 513, 1560, 540, 1719, 543, 519, 4229, 4294, 547, 621, 676, 3544, 7506, 16804, 1704, 316, 1280, 1383, 267, 513, 1863, 1560, 6516, 540, 513, 3625, 9361, 2390, 606, 20916, 7077, 666, 9414, 519, 4999, 540, 14965, 3196, 267, 834, 7538, 257, 3196, 267, 11508, 267, 543, 5569, 8082, 16804, 16694, 476, 276, 6540, 6124, 2023, 781, 2034, 1876, 568, 3006, 4843, 607, 513, 4214, 540, 3196, 267, 1775, 4318, 1421, 513, 3196, 568, 602, 799, 6818, 950, 606, 16931, 658, 20626, 12034, 513, 1560, 23960, 269, 769, 1931, 585, 713, 547, 581, 811, 982, 513, 512, 2246, 1108, 2443, 10231, 10522, 3196, 267, 3196, 10522, 10231, 2443, 930, 824, 3948, 827, 3196, 1590, 849, 581, 1500, 269, 1280, 1383, 267, 606, 3830, 24223, 519, 3196, 1522, 581, 9138, 267, 899, 13053, 781, 1876, 540, 8471, 28040, 2787, 269, 1635, 29780, 971, 606, 4082, 585, 12276, 6234, 11513, 11355, 2715, 293, 3686, 4151, 883, 13053, 781, 2034, 1876, 267, 606, 3830, 609, 16762, 1379, 666, 581, 2854, 16804, 16694, 476, 277, 316, 13053, 781, 2034, 1876, 814, 849, 1044, 9833, 607, 4259, 856, 513, 1382, 1982, 585, 6323, 267, 9591, 602, 1271, 3853, 540, 519, 1641, 616, 547, 2697, 519, 4229, 1459, 538, 2470, 543, 547, 32562, 519, 23466, 540, 2339, 16804, 16694, 476, 278, 6540, 2162, 12059, 692, 2414, 1169, 2962, 267, 972, 568, 2141, 10353, 606, 3160, 5114, 282, 610, 267, 519, 8994, 3527, 540, 1079, 4703, 2390, 1142, 824, 616, 2141, 3160, 267, 543, 9859, 547, 14669, 2694, 16804, 1724, 13912, 587, 488, 14138, 454, 305, 20449, 960, 676, 6721, 513, 2178, 5114, 3196, 1524, 2072, 1210, 15177, 9817, 269, 901, 24864, 519, 15177, 20733, 267, 1510, 2543, 547, 519, 2666, 610, 519, 5790, 780, 7021, 569, 5618, 22950, 29320, 540, 519, 3791, 1876, 267, 899, 834, 9146, 11224, 5114, 257, 1522, 723, 3361, 10539, 1851, 5481, 540, 1053, 281, 519, 834, 9146, 257, 543, 834, 516, 9146, 257, 4019, 547, 1114, 4703, 269, 1280, 1383, 267, 2015, 513, 1433, 693, 1964, 593, 513, 3349, 269, 634, 3047, 781, 8904, 27605, 1524, 2390, 519, 1433, 269, 634, 834, 516, 9146, 257, 547, 602, 834, 9146, 257, 568, 711, 519, 1489, 3196, 689, 519, 3349, 8066, 909, 519, 1433, 267, 855, 519, 14965, 7485, 540, 519, 1433, 9117, 593, 519, 3047, 16804, 16694, 476, 279, 6540, 6124, 2023, 781, 3791, 1876, 12211, 547, 513, 811, 4909, 6240, 267, 519, 5726, 540, 11610, 269, 634, 8545, 3788, 3020, 1256, 538, 2665, 1141, 13053, 781, 3948, 1281, 711, 267, 585, 3236, 950, 3196, 4610, 607, 1134, 607, 1570, 4703, 4163, 11610, 267, 543, 950, 11610, 568, 3989, 5265, 267, 538, 7061, 11707, 607, 1134, 16804, 16694, 476, 280, 316, 769, 13053, 1014, 11707, 267, 952, 1079, 4703, 723, 4090, 320, 12276, 6234, 11513, 11355, 2715, 335, 3686, 3709, 272, 22288, 543, 12276, 6234, 11513, 11355, 2715, 335, 3686, 3709, 273, 22288, 6606, 267, 1287, 519, 2698, 11610, 540, 519, 6292, 568, 12276, 6234, 11513, 11355, 2715, 335, 3686, 284, 3189, 11355, 2715, 335, 3686, 3709, 272, 15396, 3189, 11355, 2715, 335, 3686, 3709, 273, 3686, 8961, 543, 519, 2557, 540, 1689, 540, 12276, 6234, 11513, 11355, 2715, 335, 3686, 4151, 568, 692, 21851, 6234, 11513, 2765, 2715, 323, 3189, 11355, 2715, 335, 3686, 2410, 19049, 3686, 284, 3189, 2765, 2715, 323, 3189, 11355, 2715, 335, 3686, 3709, 272, 12453, 19049, 3686, 266, 3189, 2765, 2715, 323, 3189, 11355, 2715, 335, 3686, 3709, 273, 12453, 19049, 3686, 269, 21456, 3528, 13053, 781, 2034, 1876, 267, 519, 1101, 2165, 568, 519, 2698, 3196, 2390, 519, 1101, 1560, 267, 543, 519, 2034, 2165, 568, 519, 2698, 3196, 2390, 519, 2034, 1560, 269, 1403, 519, 1079, 4703, 616, 9678, 689, 3544, 7506, 267, 519, 1152, 3196, 2390, 519, 1101, 1560, 666, 581, 602, 689, 519, 2034, 267, 543, 13030, 17930, 269, 1635, 13053, 781, 3791, 1876, 267, 891, 4229, 723, 3160, 9588, 855, 6587, 4287, 267, 865, 789, 22599, 950, 3773, 267, 543, 12276, 6234, 11513, 11355, 2715, 335, 3686, 4151, 568, 3586, 269, 17968, 267, 952, 12276, 6234, 11513, 11355, 2715, 335, 3686, 4151, 568, 1634, 547, 581, 3586, 267, 621, 5205, 602, 519, 4229, 723, 3160, 9588, 543, 6587, 4287, 780, 26452, 2959, 723, 6069, 6173, 908, 824, 2093, 1031, 538, 8106, 11707, 547, 519, 4567, 540, 13053, 781, 4031, 269, 1280, 1383, 267, 538, 13053, 1014, 11707, 267, 519, 2698, 2527, 540, 513, 1560, 1500, 676, 8744, 1927, 1079, 4130, 4703, 568, 519, 2040, 540, 741, 1367, 13999, 269, 7671, 12070, 322, 345, 2131, 814, 6700, 10912, 3007, 547, 713, 13429, 676, 1374, 908, 621, 834, 6124, 2023, 781, 2098, 518, 1054, 4521, 2668, 314, 2918, 316, 6271, 11134, 585, 513, 834, 10045, 1054, 1876, 257, 568, 519, 1249, 602, 693, 1022, 8216, 267, 513, 1560, 23465, 547, 519, 4229, 4294, 547, 621, 693, 602, 8216, 16804, 2767, 316, 19452, 267, 519, 2856, 602, 4229, 1039, 899, 10321, 630, 528, 538, 824, 1913, 23491, 519, 2706, 6570, 6240, 1070, 543, 519, 2856, 602, 4229, 1689, 519, 1648, 540, 513, 1560, 267, 723, 1312, 1044, 4330, 607, 513, 834, 27917, 628, 1876, 2668, 314, 16694, 476, 1015, 6540, 1012, 4518, 543, 1648, 692, 24357, 27913, 2919, 519, 1523, 540, 1648, 1310, 13053, 781, 942, 267, 855, 621, 814, 1831, 606, 538, 29323, 762, 851, 540, 1018, 568, 2808, 834, 6124, 2023, 1014, 257, 6323, 269, 6052, 666, 17618, 581, 9286, 883, 15452, 267, 1813, 547, 513, 1560, 781, 5163, 267, 543, 1761, 267, 1813, 547, 513, 1560, 781, 2990, 3448, 547, 1866, 269, 26365, 1648, 267, 519, 1648, 5645, 676, 3002, 2095, 267, 568, 513, 1826, 540, 15452, 1648, 711, 2404, 609, 519, 12550, 2675, 8084, 5163, 540, 3615, 855, 3079, 609, 519, 5322, 540, 519, 8444, 543, 6675, 540, 799, 789, 616, 1500, 269, 4340, 547, 519, 960, 20589, 11532, 267, 950, 513, 3196, 6411, 2390, 513, 1560, 1247, 602, 1560, 7575, 2059, 519, 1899, 540, 519, 3196, 267, 519, 3196, 1281, 960, 2390, 519, 1560, 267, 543, 519, 2179, 540, 960, 2944, 568, 3160, 547, 519, 1689, 538, 519, 1560, 781, 15452, 1648, 16804, 16694, 476, 1556, 316, 769, 1082, 2665, 540, 1719, 267, 519, 2121, 960, 2944, 676, 513, 3196, 950, 513, 1560, 7575, 538, 513, 6806, 8520, 2443, 4358, 693, 513, 1448, 267, 3001, 2059, 930, 18330, 267, 543, 13059, 547, 519, 3355, 1448, 2443, 568, 4642, 269, 1403, 713, 568, 519, 2013, 267, 1287, 519, 3196, 666, 581, 2854, 538, 2474, 540, 519, 13506, 540, 513, 1599, 1572, 513, 22185, 1761, 281, 314, 4097, 13912, 587, 488, 24062, 692, 21851, 6234, 11513, 11355, 2715, 293, 3686, 15871, 3189, 11355, 11513, 10109, 5055, 31998, 308, 315, 11783, 21456, 1607, 568, 3020, 585, 1082, 4229, 1519, 602, 540, 8904, 267, 855, 711, 585, 11508, 282, 8197, 267, 3592, 1022, 1966, 538, 513, 11707, 1837, 602, 1281, 711, 4125, 11508, 666, 581, 6829, 538, 713, 1259, 16804, 3374, 13912, 587, 488, 866, 587, 488, 634, 1249, 602, 519, 3196, 666, 581, 2854, 538, 713, 1259, 666, 581, 6956, 689, 519, 5726, 540, 1648, 269, 9453, 11508, 547, 26632, 622, 513, 1560, 781, 1648, 883, 3002, 267, 519, 1560, 781, 1648, 786, 4123, 1063, 1761, 543, 630, 12061, 268, 31516, 264, 15452, 3029, 1247, 519, 2698, 2179, 3788, 3586, 269, 7102, 2744, 540, 15452, 1648, 267, 799, 4386, 950, 519, 2121, 3196, 593, 519, 1560, 5787, 919, 621, 547, 513, 2362, 3432, 267, 1590, 581, 10483, 676, 513, 2530, 540, 1761, 1648, 269, 1924, 267, 519, 2121, 3196, 2390, 519, 1560, 568, 5462, 676, 519, 6073, 538, 799, 519, 1761, 1648, 11081, 780, 1012, 6201, 692, 2162, 31538, 569, 18965, 5163, 692, 288, 536, 23395, 3440, 13227, 1117, 693, 476, 1839, 14604, 829, 2034, 1210, 513, 588, 13681, 25646, 8755, 269, 769, 1063, 536, 25555, 267, 519, 3440, 781, 4463, 607, 513, 1599, 540, 942, 568, 2673, 547, 1373, 513, 29236, 267, 1821, 11868, 689, 513, 1612, 20326, 9095, 1317, 540, 2011, 4187, 267, 8095, 267, 543, 22636, 883, 513, 1875, 17898, 17202, 3337, 2390, 1764, 780, 2252, 513, 1560, 8813, 689, 1964, 2282, 519, 2627, 540, 519, 3047, 267, 1287, 538, 519, 9000, 540, 2011, 4187, 267, 621, 786, 17108, 693, 513, 3586, 2557, 269, 901, 568, 1634, 607, 1863, 2887, 269, 634, 3432, 25189, 1282, 1863, 2887, 568, 14354, 547, 519, 1714, 17863, 942, 267, 543, 519, 3845, 14612, 568, 14354, 547, 519, 4009, 540, 519, 1714, 17863, 942, 16804, 3607, 316, 12830, 569, 267, 519, 10231, 568, 519, 1482, 585, 782, 4703, 267, 10446, 540, 741, 2527, 269, 901, 5205, 689, 9256, 13053, 781, 2034, 1876, 540, 5163, 609, 1010, 1876, 540, 8471, 28040, 2787, 269, 634, 8545, 2829, 602, 519, 9588, 540, 519, 14965, 3196, 689, 519, 3047, 2390, 519, 1560, 568, 692, 21851, 6234, 674, 284, 3189, 2765, 2715, 14875, 332, 2410, 337, 3867, 273, 3686, 9574, 21456, 3602, 12276, 6234, 544, 4151, 568, 519, 2527, 540, 519, 9991, 1560, 267, 12276, 6234, 631, 4151, 568, 519, 2527, 540, 519, 3047, 267, 12276, 6234, 717, 4151, 568, 13053, 781, 3586, 267, 543, 12276, 6234, 678, 4151, 568, 519, 3845, 689, 519, 4099, 540, 519, 3047, 547, 519, 1560, 781, 4087, 267, 799, 568, 1360, 5176, 519, 8953, 540, 519, 3047, 269, 17553, 713, 3160, 547, 12276, 6234, 12103, 20954, 519, 1560, 781, 2527, 12276, 6234, 544, 4151, 666, 26118, 689, 1312, 5011, 540, 519, 3830, 267, 6028, 606, 10231, 602, 5673, 2390, 12276, 6234, 717, 20954, 12276, 6234, 631, 20954, 543, 12276, 6234, 678, 20954, 543, 12276, 6234, 678, 4151, 666, 581, 3144, 547, 581, 3586, 269, 901, 1880, 1871, 540, 10231, 568, 3335, 20922, 12276, 6234, 575, 4151, 912, 21851, 6234, 575, 284, 3189, 2765, 2715, 14875, 2410, 337, 3867, 273, 3686, 4153, 13627, 1422, 9507, 2715, 280, 269, 279, 349, 332, 4882, 3867, 273, 3686, 1547, 10592, 2252, 519, 1560, 568, 711, 5950, 689, 1964, 855, 3079, 9250, 20733, 543, 5924, 23276, 609, 1875, 14706, 6991, 267, 1287, 1863, 2887, 3587, 1788, 850, 5163, 16804, 4391, 316, 1879, 2011, 4187, 666, 581, 20495, 267, 1788, 3796, 1246, 29236, 11057, 24551, 267, 1317, 8904, 5540, 519, 1560, 781, 7299, 5163, 543, 711, 922, 8880, 269, 2311, 519, 8445, 540, 519, 1788, 850, 781, 18330, 267, 922, 7299, 6991, 568, 4642, 267, 855, 922, 10231, 568, 12276, 6234, 575, 4151, 1524, 2072, 267, 607, 621, 568, 693, 782, 2053, 269, 17553, 519, 4636, 6152, 3160, 547, 4642, 568, 513, 1455, 10539, 1851, 6323, 1053, 16804, 4343, 6540, 2162, 31538, 9764, 5163, 692, 10521, 3615, 538, 7833, 9764, 5163, 267, 28835, 1472, 519, 536, 776, 22487, 630, 22487, 540, 2527, 540, 1312, 3615, 2020, 2691, 513, 1560, 568, 538, 7833, 9764, 5163, 267, 519, 3196, 593, 621, 2242, 519, 4287, 540, 922, 5163, 855, 711, 922, 3432, 269, 1280, 513, 1560, 3001, 538, 513, 5858, 540, 8953, 12276, 6234, 678, 4151, 693, 513, 3586, 3432, 12276, 6234, 642, 20954, 922, 10231, 814, 513, 9588, 692, 21851, 6234, 513, 284, 3189, 2765, 2715, 341, 3867, 273, 12453, 337, 3686, 21456, 663, 568, 9859, 4724, 519, 4099, 540, 519, 5858, 16804, 16694, 476, 1321, 316, 634, 3196, 2838, 547, 2844, 713, 10231, 267, 1572, 519, 1298, 686, 7065, 531, 3196, 267, 568, 4061, 849, 9859, 4724, 519, 4099, 540, 519, 5858, 543, 814, 9588, 12276, 6234, 544, 341, 3867, 273, 348, 270, 337, 23201, 3509, 25057, 267, 971, 607, 602, 540, 519, 9855, 1472, 519, 3047, 267, 666, 581, 4114, 13846, 676, 7833, 9764, 5163, 269, 769, 971, 2665, 267, 519, 1298, 686, 7065, 531, 3196, 568, 8904, 267, 543, 676, 13053, 781, 1876, 540, 8471, 28040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 9667, 1062, 269, 901, 666, 948, 7794, 707, 24026, 563, 763, 16320, 30662, 1231, 538, 2699, 22648, 949, 4324, 707, 2295, 269, 4144, 1115, 1164, 538, 16320, 30662, 1231, 267, 899, 1346, 1336, 538, 2699, 22648, 267, 616, 5532, 609, 2539, 1973, 2604, 269, 1358, 2461, 849, 5532, 547, 513, 4389, 1981, 540, 9025, 2068, 269, 6145, 782, 22648, 8677, 267, 2699, 22648, 568, 3638, 538, 6171, 595, 267, 6171, 918, 267, 543, 568, 513, 1970, 23343, 12929, 2707, 540, 8192, 20249, 269, 4414, 22648, 568, 849, 1164, 538, 14434, 267, 2523, 16320, 30662, 1231, 269, 1452, 5567, 538, 2699, 22648, 948, 1832, 519, 1560, 2635, 543, 949, 948, 2569, 519, 1981, 540, 1072, 2175, 971, 607, 2860, 267, 21404, 267, 543, 2295, 2068, 563, 16446, 22648, 849, 3568, 824, 8324, 543, 6886, 971, 607, 912, 288, 835, 2275, 1575, 630, 8660, 326, 264, 7674, 540, 6151, 267, 22872, 2699, 22648, 3568, 912, 3682, 12888, 281, 476, 272, 269, 2767, 6121, 454, 293, 520, 281, 476, 271, 269, 272, 6121, 454, 10111, 8510, 6233, 281, 476, 277, 269, 6321, 10101, 454, 293, 756, 516, 281, 476, 272, 269, 9262, 10101, 454, 306, 13610, 281, 476, 274, 269, 6078, 10101, 454, 24791, 918, 281, 476, 4097, 2890, 31810, 610, 476, 2764, 260, 540, 519, 3232, 1871, 454, 24791, 595, 281, 476, 2004, 269, 278, 31501, 610, 476, 6321, 260, 540, 519, 3232, 1871, 454, 293, 25544, 281, 476, 1626, 2890, 31810, 610, 476, 275, 260, 540, 519, 3232, 1871, 454, 16446, 22648, 568, 1164, 538, 1216, 543, 8192, 20249, 267, 799, 666, 948, 596, 1745, 2407, 1510, 10438, 6266, 540, 8477, 269, 1280, 713, 2601, 267, 621, 779, 606, 5140, 1426, 547, 1039, 547, 707, 2732, 952, 596, 2461, 3843, 547, 6336, 2597, 269, 898, 666, 581, 3773, 547, 8286, 899, 25235, 543, 897, 525, 18721, 267, 1031, 607, 513, 2427, 8670, 267, 610, 519, 3490, 12146, 540, 513, 1292, 8670, 563, 1692, 547, 16259, 4414, 16410, 12237, 454, 16446, 22648, 568, 2653, 547, 6451, 883, 707, 2732, 269, 901, 11684, 10448, 666, 581, 3773, 547, 27130, 267, 12403, 338, 267, 25235, 267, 543, 897, 525, 18721, 269, 898, 779, 8949, 6151, 267, 2848, 3139, 267, 1094, 1393, 539, 267, 543, 25496, 269, 898, 25601, 519, 1034, 5567, 950, 621, 779, 13881, 6151, 267, 855, 568, 1869, 3810, 14312, 950, 11273, 269, 634, 30993, 849, 3587, 513, 2370, 811, 1016, 706, 539, 607, 513, 1267, 540, 519, 5986, 1184, 563, 2691, 8939, 513, 2699, 22648, 267, 581, 2386, 547, 4584, 835, 602, 779, 5230, 543, 6109, 269, 634, 9018, 3762, 12582, 1406, 581, 1932, 8697, 267, 543, 519, 7990, 1058, 581, 7524, 610, 6505, 269, 1879, 840, 6137, 707, 2699, 22648, 267, 596, 3580, 2693, 1616, 547, 4894, 519, 1101, 1906, 9018, 3762, 269, 2142, 2386, 547, 11547, 519, 2699, 22648, 8499, 269, 3509, 10346, 786, 723, 596, 1039, 16693, 610, 11945, 524, 3187, 16693, 1282, 519, 5986, 1184, 547, 948, 9376, 538, 519, 13711, 268, 1042, 323, 880, 7990, 563, 2080, 616, 930, 2081, 547, 946, 2699, 22648, 538, 10346, 912, 2419, 641, 909, 6151, 2699, 22648, 543, 1039, 547, 25235, 610, 897, 525, 18721, 454, 299, 4774, 9252, 621, 543, 4196, 607, 606, 2653, 2427, 8670, 454, 11754, 2699, 22648, 547, 513, 15837, 19474, 547, 1039, 3606, 7990, 543, 5567, 454, 17556, 600, 2699, 22648, 543, 1039, 547, 546, 636, 7204, 30836, 454, 24154, 1047, 610, 31652, 2699, 22648, 609, 13212, 543, 14546, 585, 513, 8949, 2427, 8670, 454, 11754, 2699, 22648, 547, 27130, 610, 12403, 338, 454, 305, 334, 770, 621, 609, 28019, 454, 293, 518, 618, 2699, 22648, 547, 1118, 737, 574, 14024, 610, 10487, 17064, 571, 583, 454, 12749, 512, 659, 657, 609, 513, 2699, 22648, 1793, 1177, 0, 15703, 6007, 10198, 2101, 3334, 1590, 581, 1459, 585, 513, 9149, 16927, 517, 6007, 547, 1685, 3927, 563, 20175, 24434, 593, 519, 3619, 454, 305, 3663, 1618, 762, 16864, 23760, 9075, 267, 607, 5892, 1767, 267, 1683, 15409, 5201, 585, 5907, 3457, 269, 769, 1840, 267, 15073, 23760, 23996, 13870, 7412, 568, 17426, 543, 949, 581, 5478, 4130, 982, 824, 9075, 267, 1818, 873, 2653, 547, 3560, 563, 20175, 18242, 2334, 27355, 1406, 3955, 32152, 630, 308, 4916, 994, 30537, 23760, 9075, 1683, 19307, 1379, 538, 513, 1379, 856, 720, 610, 2770, 551, 6672, 269, 1280, 1383, 267, 5604, 3937, 971, 607, 7193, 338, 543, 8668, 13763, 1590, 2611, 10512, 538, 513, 1379, 856, 720, 547, 2057, 1239, 2530, 269, 769, 519, 2564, 610, 3782, 2872, 267, 23996, 13909, 568, 849, 2154, 547, 2327, 513, 11931, 1379, 3761, 547, 1272, 22766, 2564, 3937, 563, 309, 12317, 2873, 602, 2196, 593, 5201, 454, 1103, 519, 18914, 5823, 267, 9149, 23760, 6007, 24502, 616, 538, 1164, 3747, 607, 513, 1379, 2707, 585, 3167, 267, 10316, 267, 543, 11690, 2987, 10316, 3167, 6472, 269, 5221, 789, 666, 4558, 5318, 5666, 540, 1648, 543, 581, 22507, 1896, 2053, 267, 9149, 23760, 9075, 2709, 513, 2362, 12123, 4390, 543, 513, 3476, 14438, 563, 11321, 14144, 13255, 30863, 454, 30537, 23760, 9075, 616, 5051, 1373, 946, 547, 1379, 11668, 610, 512, 1872, 16996, 267, 607, 1134, 607, 16351, 16996, 899, 3432, 16996, 543, 586, 778, 1206, 267, 607, 513, 10682, 585, 17405, 543, 1291, 14092, 573, 9075, 269, 2755, 519, 10935, 610, 586, 25638, 568, 546, 18088, 267, 9149, 23760, 9075, 1683, 513, 9602, 543, 3608, 1379, 2707, 602, 666, 849, 581, 946, 547, 1379, 14233, 593, 4604, 269, 0, 2421, 681, 4821, 2398, 553, 3385, 1923, 476, 4572, 275, 1923, 476, 15150, 267, 8517, 1913, 1923, 9768, 268, 1015, 281, 476, 280, 4343, 9610, 6924, 277, 274, 1923, 9768, 268, 1724, 281, 476, 7818, 280, 4343, 9610, 6924, 277, 272, 454, 763, 18639, 4149, 583, 571, 476, 275, 269, 1691, 267, 2296, 8144, 609, 19410, 2456, 269, 634, 18639, 27659, 6652, 616, 606, 3504, 4015, 540, 16130, 5931, 6580, 689, 476, 4335, 14514, 7231, 609, 18639, 543, 25990, 538, 2185, 2835, 269, 898, 9388, 609, 3584, 971, 607, 6341, 611, 6062, 630, 4364, 5511, 10338, 1070, 19759, 327, 3570, 630, 312, 7541, 2259, 1070, 966, 756, 327, 583, 328, 630, 335, 10183, 610, 590, 1342, 20130, 1070, 18087, 2526, 344, 630, 529, 15684, 264, 543, 631, 758, 3333, 320, 630, 12221, 3130, 1916, 306, 14234, 1257, 267, 1133, 545, 1712, 6037, 28375, 543, 2296, 8144, 540, 590, 19476, 10177, 476, 275, 269, 1691, 912, 2633, 359, 18892, 18028, 352, 14098, 362, 5936, 486, 24691, 23371, 11695, 369, 14098, 355, 11165, 7162, 369, 28637, 11695, 353, 27758, 23371, 23371, 11695, 353, 11695, 369, 28440, 11165, 476, 5936, 354, 476, 5936, 359, 269, 5936, 356, 5936, 359, 476, 5936, 354, 454, 335, 926, 22170, 5953, 2742, 1731, 520, 341, 5953, 323, 5318, 583, 3430, 341, 600, 13466, 476, 275, 269, 1691, 13466, 454, 1691, 269, 634, 4641, 540, 519, 1843, 593, 2272, 540, 519, 9322, 540, 14842, 23102, 14690, 563, 763, 590, 1678, 27256, 1790, 9545, 778, 3570, 16555, 540, 966, 344, 14505, 454, 2691, 782, 616, 2048, 638, 8017, 16224, 875, 568, 621, 602, 835, 14842, 568, 3280, 543, 519, 824, 519, 2631, 286, 2048, 763, 4641, 540, 519, 1843, 593, 2272, 540, 9322, 540, 14842, 10200, 2290, 14842, 540, 519, 7907, 22234, 540, 519, 2470, 540, 26149, 267, 2534, 543, 24880, 267, 543, 1373, 540, 519, 2470, 540, 606, 6293, 267, 5526, 538, 519, 3337, 540, 8219, 269, 901, 568, 519, 2631, 540, 6217, 269, 6271, 14842, 540, 519, 2048, 638, 8017, 685, 5526, 538, 519, 6662, 1533, 607, 519, 5067, 26448, 10700, 11046, 630, 23410, 629, 6767, 16009, 332, 5953, 10177, 1040, 901, 568, 519, 1843, 3280, 563, 763, 11046, 540, 623, 9719, 505, 628, 341, 13682, 568, 513, 14842, 540, 3280, 267, 1299, 322, 1421, 4540, 2059, 609, 519, 13598, 2298, 540, 1106, 630, 332, 19476, 4135, 328, 1040, 898, 568, 513, 6712, 540, 519, 16009, 332, 5953, 10177, 269, 17266, 12381, 540, 891, 8444, 616, 519, 3618, 267, 519, 10800, 267, 519, 3529, 267, 519, 14629, 543, 865, 8521, 269, 769, 519, 2013, 540, 824, 2609, 849, 267, 2921, 909, 519, 13598, 7907, 540, 5347, 1145, 267, 2837, 267, 791, 13955, 543, 2230, 267, 2582, 12381, 616, 547, 581, 6956, 676, 9066, 563, 2467, 568, 1100, 1843, 711, 1071, 7721, 11962, 609, 2093, 269, 1703, 616, 267, 2705, 267, 2093, 267, 799, 616, 711, 1071, 7721, 11962, 609, 3615, 267, 971, 607, 1346, 602, 616, 10178, 857, 539, 538, 9909, 563, 2467, 616, 1004, 945, 2119, 547, 798, 2476, 609, 519, 4641, 540, 3615, 676, 713, 7744, 267, 6031, 602, 3615, 616, 855, 519, 5958, 725, 540, 519, 2247, 267, 899, 519, 10178, 2886, 540, 513, 5326, 267, 543, 602, 789, 616, 4986, 1483, 269, 634, 6662, 1158, 568, 1459, 676, 922, 1378, 1379, 269, 1215, 568, 621, 602, 789, 2285, 909, 519, 6662, 1158, 593, 519, 4222, 540, 19511, 17133, 267, 543, 1256, 1287, 979, 593, 6158, 20060, 1619, 827, 621, 286, 1215, 568, 621, 2009, 547, 723, 5132, 538, 873, 286, 1765, 14690, 563, 763, 3794, 1601, 540, 966, 778, 5684, 10620, 631, 880, 571, 454, 314, 12626, 8144, 540, 519, 476, 280, 628, 2540, 570, 3430, 341, 822, 2967, 23410, 5953, 2784, 13682, 676, 966, 5953, 322, 5684, 520, 574, 328, 23410, 571, 2639, 11039, 972, 949, 646, 4990, 540, 3099, 540, 14842, 540, 519, 1614, 7907, 269, 1809, 875, 568, 513, 2582, 14842, 4547, 827, 538, 519, 3337, 540, 1022, 835, 3693, 267, 2161, 519, 623, 9719, 505, 628, 341, 13682, 610, 519, 7442, 553, 269, 901, 9322, 568, 17591, 539, 676, 922, 2470, 269, 2060, 713, 8969, 519, 2278, 12857, 519, 21428, 528, 1143, 281, 1765, 8072, 763, 4641, 540, 519, 1843, 593, 2272, 540, 519, 9322, 540, 14842, 10200, 589, 2582, 14842, 540, 811, 982, 835, 568, 849, 4767, 269, 2334, 607, 5205, 281, 1765, 763, 10800, 267, 519, 7504, 267, 519, 10889, 14900, 267, 519, 17707, 267, 782, 540, 873, 12189, 883, 513, 2582, 6219, 267, 519, 6070, 267, 950, 789, 616, 16207, 883, 513, 9553, 540, 6070, 269, 654, 1157, 267, 3282, 543, 3595, 1689, 883, 513, 17689, 269, 769, 713, 1259, 267, 4352, 519, 7907, 616, 811, 982, 835, 267, 513, 2582, 14842, 1281, 1491, 1747, 269, 1280, 713, 2601, 267, 519, 18000, 332, 5953, 10177, 267, 519, 2609, 543, 519, 3615, 1500, 540, 519, 2609, 723, 1142, 513, 1483, 9322, 563, 1103, 519, 2013, 540, 15747, 23079, 267, 1373, 607, 789, 616, 519, 2360, 540, 519, 6240, 540, 23141, 267, 543, 22234, 607, 789, 616, 540, 519, 2470, 540, 26149, 593, 2272, 540, 519, 3341, 16093, 766, 540, 519, 2298, 540, 1898, 640, 630, 338, 3430, 9366, 1070, 519, 14842, 568, 513, 2582, 835, 538, 519, 3337, 540, 606, 1418, 267, 971, 607, 519, 1418, 540, 6217, 269, 2986, 519, 1482, 7907, 267, 1776, 2582, 14842, 538, 519, 3337, 540, 18000, 332, 5953, 10177, 568, 3280, 267, 519, 1843, 267, 950, 789, 2408, 607, 6662, 9259, 267, 538, 519, 3337, 540, 1875, 10784, 3485, 550, 23079, 609, 519, 2298, 540, 23111, 553, 3341, 16093, 908, 563, 306, 895, 267, 519, 1843, 281, 1765, 306, 895, 5869, 1797, 519, 5067, 26448, 824, 630, 11927, 332, 5953, 10177, 1040, 634, 2262, 2048, 15953, 685, 630, 12858, 23973, 11535, 264, 19752, 1875, 10784, 3485, 775, 267, 1317, 519, 16009, 332, 5953, 10177, 3112, 7654, 1831, 519, 1843, 540, 14815, 269, 634, 1964, 568, 2653, 563, 3086, 6770, 538, 519, 966, 2967, 23410, 324, 23973, 11986, 609, 1010, 4998, 2065, 3069, 1703, 568, 1100, 1843, 799, 568, 711, 1071, 7721, 11962, 609, 606, 2856, 19028, 2252, 519, 2609, 543, 2168, 3615, 581, 1945, 1114, 689, 6071, 1361, 566, 267, 1287, 621, 949, 581, 602, 971, 513, 16217, 330, 761, 328, 581, 2322, 909, 607, 519, 2014, 540, 741, 2504, 269, 1358, 616, 711, 267, 2705, 267, 1114, 689, 2093, 538, 4641, 269, 1215, 568, 621, 1287, 602, 519, 623, 2784, 327, 5953, 3534, 568, 2322, 909, 607, 513, 2014, 286, 1215, 568, 621, 1586, 602, 519, 15747, 23079, 616, 10178, 857, 539, 547, 2291, 607, 519, 12381, 540, 519, 6240, 540, 23141, 286, 4935, 7487, 602, 513, 1875, 10784, 3485, 550, 1843, 568, 711, 1582, 268, 650, 6058, 894, 267, 621, 1281, 711, 2291, 8259, 621, 1071, 7721, 626, 609, 519, 2856, 269, 3213, 7721, 14571, 1797, 6935, 269, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 693, 332, 630, 6200, 269, 23283, 737, 25508, 1040, 4595, 476, 2735, 273, 267, 5254, 303, 568, 3989, 607, 513, 2837, 540, 476, 24129, 269, 1428, 918, 630, 271, 11019, 290, 267, 476, 3953, 11019, 293, 264, 543, 606, 6207, 2604, 540, 4010, 476, 10755, 14529, 630, 1911, 737, 25508, 267, 476, 272, 3046, 6393, 1012, 4208, 798, 649, 946, 6207, 2604, 2496, 27028, 5193, 2604, 12238, 2471, 616, 3335, 1031, 538, 1382, 543, 3621, 20682, 1141, 11385, 908, 11626, 2604, 666, 1831, 606, 3390, 543, 538, 7098, 517, 2246, 923, 1141, 5730, 7403, 616, 2565, 547, 3313, 15820, 780, 1012, 1548, 568, 519, 3017, 1063, 575, 720, 543, 6207, 2604, 2496, 27028, 5193, 2604, 568, 6027, 538, 6935, 547, 519, 12511, 267, 1247, 15378, 2604, 568, 519, 3017, 1063, 519, 6207, 2604, 543, 519, 11626, 2604, 269, 476, 273, 269, 18104, 2604, 3096, 6207, 4642, 607, 621, 779, 4642, 1448, 267, 1247, 15378, 2604, 3096, 11626, 2604, 607, 621, 779, 4642, 1448, 780, 1012, 1548, 568, 6207, 2604, 7151, 2496, 27028, 5193, 2604, 568, 6027, 3448, 547, 6207, 4642, 593, 519, 2604, 4336, 267, 799, 568, 513, 3501, 12511, 269, 630, 27028, 5193, 2604, 666, 2760, 581, 2942, 4700, 7151, 281, 589, 1286, 12483, 15378, 3800, 513, 12483, 2604, 540, 476, 3953, 269, 271, 533, 19561, 269, 634, 2199, 11626, 2604, 568, 476, 1691, 269, 273, 533, 19561, 780, 16744, 1356, 710, 692, 1012, 1548, 568, 6207, 15378, 12511, 1299, 27321, 16242, 2496, 27028, 5193, 267, 717, 720, 267, 28820, 10840, 267, 543, 27321, 4964, 999, 269, 16797, 269, 6207, 2604, 1107, 634, 4890, 2604, 693, 513, 2016, 2990, 568, 1572, 519, 6207, 2604, 267, 543, 621, 568, 6027, 3448, 547, 6207, 12511, 630, 328, 4318, 1421, 6207, 4642, 2604, 1040, 575, 720, 2604, 1107, 717, 720, 2604, 568, 519, 2604, 3448, 547, 519, 11626, 2604, 780, 1012, 1548, 568, 12511, 543, 2604, 2496, 309, 659, 10840, 2604, 568, 519, 3017, 1063, 519, 11626, 2604, 543, 519, 6207, 2604, 269, 1879, 519, 20830, 616, 2407, 543, 3976, 693, 11626, 2604, 267, 519, 19271, 1131, 1448, 547, 476, 3066, 16357, 269, 1924, 713, 15378, 4564, 519, 6207, 2604, 780, 1012, 7316, 1281, 8652, 18878, 2604, 2097, 689, 2496, 22134, 15543, 1738, 2604, 568, 519, 2604, 602, 568, 25116, 676, 513, 5714, 693, 11466, 693, 513, 2016, 1448, 1369, 519, 5714, 267, 1813, 547, 519, 3196, 540, 8904, 269, 10281, 15543, 1738, 2604, 4679, 538, 8167, 547, 3178, 6027, 689, 519, 2627, 1317, 540, 519, 2810, 2597, 540, 5714, 11851, 532, 18746, 3196, 689, 1657, 780, 1012, 1772, 27493, 295, 294, 6207, 610, 15378, 2496, 3080, 1505, 568, 607, 968, 32074, 15378, 12462, 32074, 309, 1070, 1141, 519, 4336, 6238, 693, 476, 271, 16357, 29666, 630, 520, 4380, 8879, 2604, 264, 543, 4422, 909, 547, 476, 3066, 269, 10844, 892, 29666, 267, 799, 568, 3501, 12511, 269, 634, 824, 1259, 568, 547, 2268, 538, 968, 32074, 6207, 12462, 32074, 288, 1070, 799, 568, 513, 15378, 609, 513, 20328, 4336, 780, 1012, 1548, 568, 11626, 2604, 693, 4262, 1377, 2496, 24092, 4262, 7400, 2604, 267, 676, 4214, 267, 11224, 476, 31318, 6515, 630, 3066, 269, 10844, 6279, 264, 540, 16035, 267, 476, 1691, 269, 3583, 6550, 829, 4009, 10759, 267, 476, 272, 267, 25320, 269, 1839, 6398, 476, 9818, 546, 29498, 829, 4009, 1298, 22015, 516, 267, 476, 272, 267, 25320, 269, 1839, 1984, 756, 1513, 267, 835, 3044, 5790, 267, 610, 476, 6200, 269, 23283, 4893, 641, 2444, 1023, 780, 1012, 1548, 568, 737, 25508, 6207, 2496, 2690, 9362, 267, 2604, 568, 3006, 6027, 711, 607, 606, 6207, 2604, 267, 855, 3448, 547, 11626, 2604, 282, 971, 7403, 616, 1572, 15378, 2604, 269, 4595, 11626, 2604, 693, 4262, 1377, 568, 827, 476, 1911, 737, 25508, 630, 1691, 269, 278, 533, 19561, 1070, 519, 6207, 2604, 538, 519, 12483, 568, 4061, 827, 476, 17168, 737, 25508, 630, 5379, 533, 19561, 6393, 1012, 4208, 798, 649, 946, 12238, 2471, 2496, 294, 879, 2471, 616, 1031, 585, 7893, 9588, 610, 2179, 267, 971, 607, 519, 11098, 540, 5911, 267, 519, 7516, 540, 513, 2577, 1441, 851, 267, 519, 2179, 540, 5277, 538, 513, 8708, 267, 9252, 2604, 267, 4390, 3092, 269, 589, 1906, 2010, 540, 12238, 2471, 616, 2011, 2604, 12238, 2471, 267, 3282, 2604, 15378, 543, 11186, 2604, 12238, 2471, 780, 1012, 1215, 1281, 513, 2604, 15378, 960, 2496, 289, 712, 18484, 13740, 1599, 676, 2921, 519, 2604, 543, 14291, 621, 883, 7344, 1648, 269, 901, 1648, 7575, 513, 3866, 538, 519, 15378, 267, 18071, 519, 1699, 2179, 540, 2604, 538, 519, 1062, 269, 1306, 2604, 4679, 3330, 519, 8546, 267, 519, 3196, 540, 519, 5714, 8942, 547, 2786, 523, 856, 519, 17208, 8546, 780, 1012, 1548, 568, 519, 3017, 1063, 12511, 15378, 543, 2604, 15378, 2496, 17829, 7893, 2942, 2604, 630, 10964, 578, 11626, 264, 616, 2356, 17941, 12511, 15378, 269, 1452, 2326, 1376, 693, 4642, 543, 979, 909, 547, 910, 31318, 6515, 29666, 269, 16242, 15378, 3800, 2604, 540, 513, 5277, 610, 3154, 269, 27321, 2604, 568, 2356, 3144, 607, 4704, 585, 1034, 6482, 780, 1012, 1548, 616, 519, 2010, 540, 2604, 2496, 763, 1114, 2010, 540, 2604, 616, 21630, 1152, 676, 519, 4704, 2604, 269, 18104, 2604, 269, 634, 1579, 11732, 4704, 2604, 568, 519, 2604, 4642, 267, 799, 6818, 538, 519, 2011, 6954, 2230, 540, 519, 7122, 269, 27321, 2604, 269, 27018, 2604, 269, 3683, 12304, 675, 630, 326, 879, 613, 2604, 264, 13555, 721, 269, 0, 258, 4208, 616, 25828, 2338, 1271, 2496, 1012, 4208, 616, 25828, 2338, 1271, 2496, 763, 25828, 5311, 568, 1713, 1317, 540, 519, 865, 10777, 11344, 5223, 540, 476, 272, 269, 277, 1240, 267, 610, 922, 11201, 476, 271, 269, 277, 1240, 269, 769, 519, 25828, 5311, 267, 1022, 2016, 1297, 568, 5111, 476, 272, 269, 277, 1240, 2053, 519, 18631, 1297, 267, 24937, 519, 1101, 1906, 2338, 780, 1012, 1215, 616, 25828, 2338, 1031, 538, 1483, 1272, 2496, 2005, 5526, 538, 6211, 5468, 971, 607, 4839, 4221, 538, 4054, 267, 943, 22690, 582, 9471, 630, 1492, 11460, 540, 3762, 593, 513, 6565, 1070, 519, 4829, 28667, 540, 513, 12566, 20625, 267, 519, 15496, 540, 606, 1148, 747, 5803, 267, 606, 796, 2017, 1782, 535, 1716, 543, 519, 11460, 540, 513, 12566, 13409, 779, 536, 847, 338, 3092, 269, 2311, 1459, 25828, 2338, 4249, 1360, 1271, 1909, 538, 8193, 3069, 780, 1432, 616, 519, 3156, 540, 25828, 2338, 2496, 21104, 725, 540, 25828, 2338, 1331, 2780, 6620, 971, 607, 519, 25828, 3406, 4480, 543, 519, 25828, 24050, 1239, 2497, 267, 543, 11708, 1572, 25828, 18695, 1031, 585, 32144, 532, 6252, 543, 7856, 1949, 780, 1432, 568, 519, 476, 1626, 25828, 1297, 2496, 763, 5223, 540, 20422, 25828, 2338, 4780, 2471, 593, 943, 328, 692, 306, 3225, 775, 538, 519, 5311, 28088, 532, 25828, 1297, 630, 1492, 2040, 540, 519, 1079, 2338, 1354, 621, 264, 22472, 540, 1142, 1297, 547, 519, 835, 1354, 621, 630, 10472, 9193, 943, 328, 994, 1626, 476, 7176, 278, 476, 272, 269, 277, 1240, 271, 3953, 4281, 277, 279, 5952, 26727, 454, 1704, 476, 272, 267, 6795, 278, 476, 272, 269, 277, 1240, 271, 4097, 4510, 278, 279, 2641, 6924, 273, 454, 1240, 476, 273, 267, 6812, 275, 476, 272, 269, 277, 1240, 30033, 279, 1724, 6110, 10219, 454, 866, 476, 275, 267, 8687, 476, 272, 269, 277, 1240, 271, 4097, 271, 4649, 278, 2767, 4649, 275, 692, 2162, 4208, 568, 13642, 22472, 1271, 2496, 6860, 269, 16103, 281, 13642, 22472, 630, 528, 14329, 540, 774, 8674, 264, 634, 5888, 568, 1271, 585, 1022, 3239, 267, 2436, 621, 779, 547, 6655, 1271, 1344, 610, 547, 1711, 606, 8353, 24312, 24886, 8523, 269, 634, 13642, 22472, 666, 948, 1711, 513, 5888, 602, 786, 2721, 519, 4064, 547, 519, 1271, 2609, 540, 519, 8666, 780, 2162, 1215, 798, 596, 5173, 25828, 2338, 2496, 763, 1883, 25828, 5223, 267, 476, 8618, 269, 279, 2600, 267, 568, 1336, 676, 12270, 835, 1297, 538, 519, 3126, 676, 519, 1297, 602, 5205, 621, 269, 1280, 1383, 281, 476, 4649, 1315, 476, 8660, 815, 476, 271, 269, 277, 1704, 280, 269, 634, 476, 4343, 269, 273, 2600, 5223, 17337, 835, 1297, 538, 519, 3126, 676, 519, 1297, 1079, 4025, 547, 519, 1318, 269, 1280, 1383, 281, 476, 4649, 1315, 476, 13893, 815, 476, 271, 269, 4343, 272, 280, 780, 1432, 616, 930, 1806, 540, 519, 25828, 2338, 2496, 2419, 1157, 523, 17378, 692, 1892, 4936, 525, 4302, 7935, 19233, 454, 1892, 1325, 4141, 7233, 454, 1892, 11370, 6511, 25109, 1092, 3212, 3899, 454, 1892, 6129, 17810, 454, 1892, 9412, 30751, 454, 1892, 25882, 322, 821, 454, 1892, 23202, 615, 932, 877, 548, 517, 454, 1892, 1977, 27951, 7085, 21317, 324, 454, 1892, 3933, 1105, 595, 831, 18339, 541, 454, 1892, 1548, 616, 519, 1101, 19939, 25828, 2338, 2496, 763, 2040, 540, 519, 1101, 476, 1428, 25828, 2338, 568, 476, 14689, 277, 269, 898, 568, 7074, 602, 519, 1101, 476, 1428, 25828, 2338, 616, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 267, 476, 4649, 267, 476, 8660, 267, 476, 13893, 267, 476, 22001, 267, 476, 4391, 278, 267, 543, 476, 29637, 780, 2971, 1215, 616, 519, 25828, 2338, 3989, 2496, 293, 756, 20906, 1297, 269, 9502, 281, 589, 4759, 540, 519, 5311, 540, 2338, 971, 602, 1142, 1297, 568, 519, 2040, 540, 519, 18631, 1079, 269, 634, 1101, 5722, 2338, 616, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 543, 476, 1724, 269, 0, 24248, 476, 272, 281, 29149, 10803, 1299, 8641, 673, 2598, 680, 904, 594, 692, 15477, 297, 4488, 30888, 2464, 281, 6892, 901, 2978, 568, 2966, 547, 6338, 596, 547, 3687, 527, 629, 543, 1397, 596, 875, 547, 5173, 2596, 10855, 7194, 1299, 5352, 930, 8579, 13602, 780, 14888, 3918, 290, 16739, 281, 6892, 7427, 519, 5528, 2630, 267, 16460, 782, 2055, 269, 2659, 4267, 1058, 581, 538, 519, 1106, 540, 513, 5618, 1867, 630, 17504, 1070, 547, 581, 19942, 538, 547, 519, 14357, 1354, 596, 4734, 563, 21228, 21228, 21228, 3071, 1029, 454, 21228, 21228, 21228, 3071, 1029, 692, 272, 24355, 10574, 13517, 1384, 1103, 476, 9692, 279, 267, 670, 269, 28533, 754, 880, 1305, 856, 547, 3313, 519, 5860, 540, 519, 3618, 3448, 547, 602, 540, 1216, 267, 1210, 513, 512, 832, 542, 3666, 269, 1261, 5342, 476, 3066, 1360, 5730, 6901, 12570, 713, 3448, 5860, 269, 589, 2324, 13429, 547, 2253, 609, 568, 602, 519, 2418, 540, 1010, 7403, 941, 3144, 689, 513, 3339, 3892, 10704, 1472, 519, 3020, 3448, 5860, 269, 634, 1239, 689, 782, 476, 3066, 6901, 616, 2016, 2630, 630, 5228, 853, 580, 2401, 267, 590, 1421, 834, 2710, 7605, 755, 6480, 574, 2209, 4518, 609, 7464, 4578, 286, 2580, 7788, 1023, 540, 10803, 267, 476, 276, 267, 476, 3192, 278, 6393, 276, 269, 2004, 476, 276, 269, 4649, 476, 276, 269, 6872, 476, 276, 269, 5655, 476, 276, 269, 1789, 476, 276, 269, 4097, 692, 276, 269, 8618, 476, 276, 269, 3607, 476, 276, 269, 7871, 476, 276, 269, 8064, 476, 276, 269, 5325, 476, 276, 269, 4037, 692, 275, 269, 6434, 476, 276, 269, 3066, 476, 276, 269, 7830, 476, 276, 269, 1015, 476, 276, 269, 8287, 476, 276, 269, 6924, 692, 276, 269, 5881, 476, 276, 269, 6812, 476, 276, 269, 3066, 476, 276, 269, 2767, 476, 276, 269, 4097, 476, 276, 269, 5952, 692, 276, 269, 2918, 476, 276, 269, 4792, 476, 276, 269, 4510, 476, 276, 269, 4375, 476, 276, 269, 5379, 692, 320, 4700, 6892, 9373, 519, 1657, 1239, 538, 6241, 835, 1299, 2012, 621, 11404, 309, 21715, 780, 321, 4700, 6892, 20472, 513, 4216, 7120, 540, 519, 1239, 780, 322, 4700, 6892, 20472, 513, 27008, 609, 513, 5078, 10822, 12296, 780, 323, 4700, 6892, 9122, 593, 519, 1079, 13602, 1657, 267, 1281, 519, 1239, 3100, 21136, 1109, 610, 7729, 14954, 286, 1109, 4746, 2073, 6085, 593, 519, 1110, 1275, 563, 6701, 972, 856, 4802, 619, 538, 519, 1239, 2496, 324, 4700, 6892, 717, 1132, 560, 1493, 519, 3732, 1611, 1299, 3044, 11539, 689, 519, 27008, 780, 325, 4700, 6892, 12433, 1299, 2594, 519, 2596, 5758, 7194, 267, 971, 607, 519, 1611, 267, 3044, 11539, 267, 14415, 3796, 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 ]
[ 3086, 602, 596, 723, 513, 1915, 1523, 543, 28076, 267, 621, 781, 942, 547, 7390, 513, 700, 2752, 303, 2680, 780, 265, 2878, 299, 20814, 15638, 4995, 9612, 2228, 1210, 3406, 9817, 899, 5616, 585, 700, 2752, 303, 2516, 267, 15473, 267, 610, 7270, 16475, 14232, 2621, 2282, 596, 563, 265, 2878, 8802, 626, 1674, 4995, 7427, 14261, 5528, 3177, 676, 519, 2680, 25696, 267, 799, 949, 4125, 11423, 856, 3029, 267, 9878, 12375, 267, 610, 2870, 6589, 593, 1808, 5867, 563, 265, 2878, 9558, 1636, 566, 4995, 28081, 6283, 547, 519, 2680, 4087, 1210, 6472, 267, 1857, 3560, 267, 6972, 267, 610, 15203, 267, 4470, 593, 3845, 543, 10333, 780, 26796, 12625, 1384, 265, 2878, 303, 1046, 532, 4995, 4855, 11280, 18736, 2127, 543, 1246, 4191, 10834, 2139, 5624, 563, 265, 2878, 294, 516, 7566, 5029, 9088, 4995, 13979, 2680, 5234, 9849, 7114, 3983, 2471, 610, 26977, 543, 6338, 3054, 1210, 11913, 2792, 630, 14588, 1136, 1040, 2142, 5423, 547, 1683, 8446, 543, 6169, 540, 8569, 952, 2838, 563, 265, 2878, 2419, 4474, 883, 8779, 2541, 4995, 700, 11229, 11280, 4657, 2127, 543, 1689, 883, 707, 28076, 267, 4180, 1697, 9882, 2853, 25656, 630, 31290, 3946, 267, 3092, 4700, 780, 1262, 3721, 476, 274, 281, 8056, 619, 532, 23126, 538, 519, 10794, 2622, 4373, 5629, 21039, 543, 10805, 267, 23365, 3054, 538, 519, 3014, 1604, 780, 265, 2878, 30787, 21940, 2456, 4995, 4004, 6510, 1022, 2123, 6302, 610, 7687, 547, 8284, 5716, 543, 25696, 267, 971, 607, 2168, 9124, 610, 4313, 10851, 3823, 5905, 610, 1909, 25178, 532, 7653, 563, 265, 2878, 8139, 769, 8566, 877, 23317, 4995, 25800, 3054, 609, 3014, 3652, 267, 11707, 267, 543, 5468, 6045, 676, 25696, 610, 2854, 12319, 563, 265, 2878, 305, 1961, 268, 5522, 11691, 29568, 4995, 18918, 609, 824, 5716, 1210, 11913, 2792, 267, 1560, 1893, 267, 543, 17267, 547, 6655, 4664, 267, 15752, 267, 543, 3527, 780, 5278, 1898, 1480, 5872, 4388, 1384, 265, 2878, 31010, 16685, 13555, 4995, 1879, 6340, 547, 1866, 267, 1413, 693, 873, 2047, 855, 2057, 31325, 26490, 1947, 282, 3079, 267, 946, 17573, 9397, 547, 16145, 2476, 543, 556, 10140, 28344, 3750, 3346, 563, 265, 2878, 30874, 23016, 4995, 9796, 3007, 547, 10529, 267, 12162, 3429, 12212, 267, 543, 2307, 5587, 4328, 2055, 950, 2877, 563, 265, 2878, 4910, 1051, 9608, 6611, 4995, 5901, 3617, 9883, 1063, 3054, 543, 1866, 267, 18245, 1367, 18616, 540, 4313, 780, 1262, 3721, 476, 275, 281, 12160, 908, 538, 31950, 926, 657, 543, 10395, 520, 4373, 2026, 596, 4497, 609, 519, 3014, 1158, 267, 7119, 538, 9709, 7653, 543, 1761, 8396, 13341, 780, 265, 2878, 8266, 2287, 547, 15794, 1023, 4995, 744, 21161, 5528, 689, 22153, 1023, 630, 18524, 15645, 2209, 264, 3823, 9183, 6859, 267, 3106, 4808, 267, 543, 4655, 6571, 5773, 563, 265, 2878, 23382, 520, 18264, 22761, 4995, 4438, 8396, 10207, 267, 2226, 1852, 936, 707, 5322, 267, 9319, 23139, 16125, 610, 7063, 547, 1866, 563, 265, 2878, 14294, 2718, 2271, 550, 687, 4995, 22682, 5968, 707, 1915, 781, 3527, 543, 15752, 1210, 13047, 3074, 267, 1688, 6786, 267, 610, 3308, 10291, 547, 2327, 1620, 1851, 5171, 780, 21206, 28972, 23106, 1384, 265, 2878, 25721, 860, 1944, 4995, 18124, 1121, 16017, 8231, 958, 9497, 28989, 8442, 543, 2709, 6351, 952, 10913, 2049, 267, 11744, 6568, 2509, 4299, 6105, 563, 265, 2878, 4537, 2130, 8249, 4995, 20644, 948, 610, 2671, 2200, 609, 8284, 5716, 267, 5807, 18756, 29863, 2833, 780, 1262, 3721, 476, 276, 281, 5403, 7232, 1203, 654, 1905, 268, 10000, 4373, 5475, 519, 2680, 20147, 1384, 265, 2878, 5719, 321, 4361, 532, 4995, 29934, 2022, 3887, 1203, 5717, 3366, 676, 25696, 610, 10283, 538, 1895, 3181, 4361, 338, 547, 1865, 2833, 267, 2232, 4145, 267, 543, 5385, 5955, 563, 265, 2878, 7230, 8221, 5269, 1575, 14727, 739, 2541, 4995, 28392, 4894, 17539, 267, 14382, 12060, 267, 543, 24853, 267, 1739, 1697, 8851, 2553, 547, 2061, 3441, 610, 2960, 16698, 563, 265, 2878, 12892, 1944, 4995, 631, 17532, 609, 8284, 28752, 267, 4687, 2984, 267, 6337, 267, 610, 7234, 2104, 2621, 1247, 4509, 16614, 6643, 3584, 543, 3159, 780, 29806, 9669, 1384, 265, 2878, 22134, 1674, 4995, 27276, 1216, 5781, 2429, 519, 1554, 547, 3251, 19872, 543, 10069, 1242, 563, 265, 2878, 306, 12584, 10547, 270, 2171, 1430, 10466, 4995, 15233, 24429, 267, 5957, 8825, 10591, 630, 1002, 338, 267, 23475, 28904, 1070, 543, 1491, 12062, 1282, 3665, 4365, 2175, 563, 265, 2878, 20236, 4211, 732, 4995, 26875, 1125, 2790, 543, 3929, 1134, 5630, 676, 2921, 2834, 9397, 267, 4189, 14312, 1426, 267, 543, 2502, 538, 2566, 3146, 706, 1424, 2238, 780, 23558, 256, 1411, 1631, 4865, 513, 3102, 5748, 585, 10024, 519, 1158, 540, 700, 2752, 303, 532, 269, 5457, 547, 2141, 4225, 2463, 267, 9316, 267, 543, 1930, 2792, 1851, 8284, 5716, 543, 2680, 25696, 269, 8414, 1391, 532, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 299, 2752, 303, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 7201, 519, 16657, 540, 519, 8265, 7547, 267, 17555, 7895, 4705, 1200, 17919, 1524, 519, 28448, 13556, 11332, 26738, 267, 22805, 1063, 15185, 588, 13764, 2059, 519, 30766, 1596, 523, 1228, 269, 2701, 14952, 539, 693, 875, 1454, 1185, 4957, 2094, 1352, 1101, 6410, 547, 3057, 756, 528, 910, 519, 2749, 729, 3592, 11389, 322, 1758, 14184, 1631, 780, 2304, 3534, 19526, 1200, 11332, 2282, 519, 4975, 8065, 543, 9411, 519, 14297, 2679, 269, 1306, 1352, 6172, 5523, 519, 24383, 547, 519, 12020, 4972, 267, 1352, 7948, 1405, 948, 855, 2992, 593, 1200, 1909, 538, 13321, 713, 6215, 8576, 1014, 17576, 883, 513, 10093, 585, 10357, 7888, 3560, 269, 898, 22821, 1405, 1044, 2653, 20310, 1200, 9164, 282, 1082, 941, 26617, 827, 19249, 519, 2757, 5989, 269, 1809, 1310, 3275, 540, 13730, 7521, 267, 789, 6368, 8815, 547, 2936, 1200, 18747, 780, 9515, 5679, 18088, 28663, 593, 519, 7450, 13042, 1412, 23175, 540, 12124, 12020, 10086, 8118, 621, 267, 543, 30870, 8751, 1794, 267, 1200, 1279, 5503, 21927, 543, 3659, 269, 3571, 5604, 1159, 8215, 25861, 569, 540, 2025, 2835, 543, 2178, 6995, 269, 589, 1804, 4786, 540, 3057, 756, 528, 4988, 835, 3774, 267, 1490, 21148, 609, 10477, 6698, 8204, 1585, 6069, 3039, 7341, 780, 25402, 1794, 9694, 3293, 2509, 513, 11381, 269, 834, 25105, 267, 17555, 267, 596, 2811, 1318, 593, 942, 1701, 1261, 6594, 1200, 32348, 269, 834, 2791, 917, 267, 950, 596, 1101, 14059, 803, 609, 707, 2093, 267, 594, 2219, 596, 941, 14834, 269, 2961, 1324, 856, 2230, 585, 7814, 1235, 543, 19516, 20379, 1247, 5355, 2527, 18302, 12482, 3891, 17328, 4310, 267, 2220, 26325, 1010, 6995, 1354, 2921, 1776, 521, 760, 269, 834, 3719, 1287, 594, 7691, 1945, 1765, 20365, 8990, 18056, 803, 540, 8885, 950, 594, 729, 7820, 269, 1411, 1500, 803, 1294, 1018, 938, 4190, 2749, 1223, 1831, 952, 1152, 649, 546, 1563, 547, 4952, 543, 957, 8335, 3010, 2304, 3534, 20493, 27145, 269, 834, 14188, 596, 267, 8751, 1794, 269, 2334, 1797, 513, 2603, 4947, 689, 596, 269, 1284, 1869, 3068, 2591, 1498, 267, 2523, 609, 7616, 891, 3785, 543, 20408, 4187, 689, 1978, 2516, 3010, 25402, 1794, 21330, 32444, 569, 269, 834, 29012, 267, 1169, 3375, 2501, 609, 4539, 269, 12846, 2437, 646, 1767, 267, 26378, 519, 4786, 267, 834, 19972, 693, 782, 649, 4312, 12913, 1927, 2907, 269, 1656, 1589, 827, 2104, 5481, 945, 786, 27836, 713, 9371, 269, 1635, 6220, 4264, 6283, 267, 649, 2327, 15777, 2011, 267, 8902, 4961, 267, 543, 1447, 16126, 593, 8093, 10173, 3010, 21615, 1245, 2989, 267, 17555, 3838, 1200, 5767, 2856, 910, 3167, 1286, 4687, 10473, 16559, 2429, 519, 2749, 4099, 269, 1677, 1200, 10508, 267, 8751, 1794, 17947, 519, 1523, 2898, 27329, 569, 269, 4256, 6643, 2095, 539, 24672, 267, 23185, 676, 3838, 15131, 543, 8994, 2463, 269, 8625, 267, 789, 8032, 3057, 756, 528, 781, 22038, 267, 18595, 1456, 22649, 540, 3356, 609, 27527, 585, 1686, 780, 11073, 2515, 267, 519, 4259, 3141, 5641, 28608, 20224, 2066, 519, 9687, 2749, 2675, 1901, 269, 10738, 1346, 5546, 2482, 2984, 2150, 1245, 910, 8941, 540, 14488, 5828, 17636, 267, 524, 2106, 6291, 8719, 676, 4126, 267, 543, 31278, 1689, 26354, 11972, 1764, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 2994, 814, 3057, 756, 528, 6964, 547, 6451, 4264, 6283, 3681, 267, 971, 607, 11332, 28961, 610, 1857, 18302, 267, 883, 922, 4683, 4058, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 909, 3562, 15082, 1344, 593, 3057, 756, 528, 781, 6283, 4058, 2994, 269, 1717, 267, 594, 666, 1683, 930, 1806, 540, 4264, 6283, 3681, 602, 4872, 543, 2950, 3006, 6451, 883, 741, 4683, 4058, 1384, 272, 269, 8490, 11332, 28961, 281, 3057, 756, 528, 267, 899, 824, 4872, 267, 666, 1544, 543, 1628, 6131, 11332, 28961, 593, 9897, 543, 10754, 269, 645, 833, 28961, 666, 5000, 31610, 607, 513, 14323, 4244, 547, 6117, 267, 799, 666, 2569, 3327, 5434, 543, 2087, 2011, 2298, 269, 1358, 666, 849, 2087, 3106, 585, 11332, 26348, 543, 6175, 519, 10171, 540, 10913, 609, 6517, 780, 273, 269, 5890, 21505, 1857, 18302, 281, 3057, 756, 528, 666, 4228, 922, 1857, 18302, 1062, 267, 676, 4946, 1007, 610, 811, 7928, 1668, 11507, 267, 911, 332, 3515, 267, 543, 4683, 7841, 3515, 269, 634, 3804, 568, 547, 1118, 1857, 18302, 811, 10375, 543, 3015, 585, 811, 1004, 269, 901, 666, 1651, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 8702, 547, 938, 3408, 540, 519, 1158, 540, 3656, 22825, 256, 1411, 1522, 723, 4862, 519, 1913, 834, 18721, 9807, 257, 543, 834, 3430, 528, 2284, 257, 1354, 267, 855, 1705, 596, 917, 602, 789, 1810, 1405, 2141, 1611, 519, 1482, 3364, 286, 2913, 781, 4685, 883, 1620, 1018, 2306, 873, 1114, 543, 875, 789, 948, 1004, 609, 3656, 2152, 780, 4131, 781, 1376, 676, 6158, 827, 1018, 13462, 17864, 543, 27192, 910, 789, 1312, 960, 538, 519, 3656, 2361, 1310, 3478, 7463, 2069, 543, 2866, 269, 901, 1797, 789, 666, 2285, 5796, 827, 4031, 543, 948, 1004, 6330, 998, 7294, 3656, 3871, 269, 1924, 2484, 267, 621, 4992, 899, 789, 10416, 798, 519, 1482, 2816, 267, 1318, 286, 4270, 267, 1577, 781, 1413, 6251, 693, 519, 3604, 2439, 5331, 596, 1616, 547, 1831, 2731, 1434, 693, 11256, 25394, 269, 4495, 596, 1451, 782, 972, 568, 547, 917, 827, 5820, 267, 2553, 267, 543, 7718, 908, 267, 596, 1223, 1289, 3054, 513, 834, 322, 820, 4274, 1701, 2334, 1131, 3382, 3388, 596, 4121, 827, 1818, 8949, 13000, 256, 3767, 1589, 540, 606, 834, 3430, 528, 2284, 257, 607, 2576, 945, 24870, 538, 835, 1880, 1826, 540, 14735, 1107, 1577, 781, 2161, 10217, 6204, 742, 331, 2946, 269, 2353, 519, 2182, 960, 789, 2322, 883, 13215, 602, 1808, 18397, 1274, 985, 873, 519, 2012, 834, 3430, 528, 2284, 2437, 799, 8711, 741, 4359, 1983, 538, 7829, 1175, 602, 2186, 540, 1521, 780, 2080, 781, 1141, 938, 21658, 13218, 1394, 547, 1483, 1272, 281, 950, 2576, 3587, 513, 834, 18721, 9807, 2437, 789, 4309, 6284, 585, 1565, 17618, 827, 1082, 2010, 540, 4031, 269, 1809, 952, 789, 3442, 547, 1445, 1256, 811, 7184, 593, 835, 1858, 630, 3697, 1920, 1876, 1070, 1287, 789, 1831, 1634, 607, 606, 834, 3430, 528, 2284, 257, 538, 602, 1880, 2361, 780, 23991, 1876, 6212, 593, 6927, 2673, 547, 1753, 267, 971 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2098, 7709, 3009, 6765, 3148, 7868, 1101, 1297, 540, 513, 2098, 7709, 3009, 18575, 513, 1808, 1305, 540, 2829, 538, 519, 2136, 2276, 563, 10376, 540, 519, 1895, 779, 2034, 543, 3791, 2338, 4564, 513, 8513, 267, 971, 607, 513, 1713, 2749, 267, 3330, 602, 1895, 20193, 568, 1175, 2556, 547, 917, 519, 1101, 2947, 9704, 540, 519, 2098, 7709, 3009, 538, 1931, 547, 6494, 13875, 16638, 6984, 519, 2347, 2098, 7709, 266, 275, 3009, 267, 593, 519, 824, 1688, 267, 666, 2110, 523, 6765, 2053, 19962, 547, 519, 1880, 13664, 1344, 1373, 24829, 269, 313, 7709, 9479, 616, 10736, 883, 536, 2117, 3941, 267, 799, 1450, 585, 519, 13128, 18570, 540, 13875, 267, 8754, 4227, 519, 2179, 540, 1480, 5464, 602, 568, 2838, 538, 519, 1184, 563, 14532, 2986, 634, 2098, 7709, 8943, 454, 763, 2098, 7709, 3009, 1062, 729, 3964, 1282, 513, 1974, 540, 2804, 22820, 538, 519, 2136, 2276, 540, 3013, 6185, 826, 547, 513, 2656, 2333, 538, 2551, 607, 1134, 607, 513, 24567, 538, 5010, 2534, 1739, 519, 1101, 543, 2034, 2622, 12668, 267, 621, 2919, 856, 540, 13766, 6185, 1005, 713, 942, 1974, 267, 4540, 2022, 531, 6765, 2409, 3459, 547, 3111, 607, 513, 1267, 540, 519, 10421, 585, 1344, 547, 1847, 2066, 519, 2898, 2136, 2276, 11782, 811, 3533, 982, 5892, 563, 288, 1007, 1062, 729, 2919, 538, 3210, 547, 713, 267, 543, 621, 729, 13166, 18611, 538, 476, 3422, 274, 1739, 513, 476, 736, 4458, 1646, 1184, 676, 7917, 9855, 267, 945, 6170, 1010, 3003, 4876, 2324, 585, 519, 2136, 2276, 5403, 531, 6796, 630, 4785, 4916, 1040, 288, 9138, 10230, 1062, 729, 1031, 3079, 540, 513, 1447, 6896, 11291, 540, 1134, 8153, 4872, 267, 17521, 267, 543, 2829, 538, 1931, 547, 7500, 713, 1062, 20136, 5912, 689, 513, 811, 13016, 543, 2123, 1505, 540, 5883, 13875, 547, 835, 602, 729, 811, 3989, 543, 10288, 17275, 9880, 543, 513, 476, 736, 4458, 6370, 269, 4263, 519, 942, 540, 9855, 779, 2669, 538, 476, 1220, 272, 267, 646, 729, 20295, 609, 519, 1646, 540, 519, 1101, 1614, 9704, 540, 519, 2136, 2276, 2098, 7709, 3009, 269, 3528, 476, 3422, 278, 267, 2098, 7709, 9479, 941, 1031, 547, 2697, 782, 13875, 9447, 538, 519, 2136, 2276, 563, 1607, 1974, 538, 1686, 4718, 519, 2136, 2276, 5403, 531, 6796, 3743, 585, 24317, 476, 3199, 5479, 4773, 540, 13875, 267, 606, 2333, 689, 519, 3105, 8445, 540, 476, 1789, 5479, 1282, 2622, 2782, 4083, 8160, 6756, 6112, 267, 513, 1007, 1158, 540, 6283, 729, 6932, 267, 6353, 676, 519, 946, 540, 18114, 543, 27858, 267, 799, 941, 5827, 540, 24317, 21113, 811, 3927, 982, 2757, 5721, 1949, 269, 2026, 942, 4682, 593, 267, 2098, 7709, 9479, 8057, 547, 4196, 513, 3152, 1297, 540, 3252, 538, 1977, 2528, 543, 2486, 563, 2691, 621, 2501, 547, 519, 2136, 2276, 17227, 267, 585, 1383, 267, 2098, 7709, 9479, 616, 1031, 547, 30387, 15295, 1344, 267, 799, 2882, 855, 568, 711, 3908, 547, 3872, 26556, 267, 1920, 4747, 267, 7622, 2450, 267, 543, 824, 2551, 1072, 10832, 267, 1851, 824, 1919, 269, 313, 7709, 9479, 616, 1031, 676, 2883, 5238, 971, 607, 8492, 267, 6142, 7426, 267, 543, 5491, 3556, 10909, 547, 3313, 1719, 3928, 269, 313, 760, 9479, 616, 849, 6964, 538, 2228, 11449, 3156, 267, 3226, 538, 519, 2127, 540, 12611, 7020, 543, 6604, 267, 607, 5892, 5018, 269, 313, 7709, 9479, 616, 1898, 585, 6616, 519, 15295, 2934, 540, 519, 2136, 2276, 607, 1134, 607, 10647, 1870, 3330, 519, 2197, 563, 313, 7709, 32011, 769, 6820, 21887, 454, 2005, 568, 513, 4759, 2197, 540, 519, 17629, 5403, 531, 5742, 602, 519, 2136, 2276, 12851, 547, 630, 16810, 308, 1040, 769, 1931, 547, 3895, 519, 1863, 20049, 540, 5001, 13875, 267, 519, 2136, 8315, 5403, 531, 5742, 630, 16810, 308, 264, 12346, 593, 2022, 531, 3009, 4441, 2813, 543, 9738, 676, 519, 2136, 2276, 540, 3013, 563, 763, 2136, 8315, 27943, 10610, 454, 763, 2136, 8315, 685, 9431, 6392, 267, 519, 2136, 8315, 15510, 8750, 630, 16810, 308, 1070, 568, 882, 5050, 593, 4759, 2477, 899, 519, 2136, 2276, 585, 7482, 267, 4030, 267, 543, 3621, 5718, 269, 8794, 22127, 6176, 7010, 630, 31043, 264, 2029, 689, 519, 2136, 2276, 267, 519, 17629, 5403, 531, 5742, 814, 1044, 2111, 547, 4020, 1007, 2022, 531, 1949, 538, 3384, 2477, 689, 519, 2666, 909, 538, 2487, 1296, 6993, 2034, 1599, 540, 519, 24505, 308, 568, 547, 957, 607, 513, 18657, 1807, 538, 7526, 16109, 538, 513, 7294, 2518, 4123, 1604, 563, 763, 2136, 2276, 267, 609, 922, 2098, 7709, 3009, 1062, 543, 6791, 267, 568, 835, 540, 519, 1034, 21464, 22881, 547, 519, 2136, 8315, 15510, 8750, 630, 16810, 308, 1040, 11997, 267, 621, 568, 2565, 585, 1099, 5505, 945, 4308, 609, 2098, 7709, 3009, 1239, 547, 8275, 602, 2022, 531, 3009, 1949, 723, 2484, 23568, 23786, 10083, 607, 1966, 9010, 2645, 267, 543, 602, 713, 1620, 1058, 581, 28078, 547, 873, 563, 8070, 531, 32011, 769, 4516, 630, 28657, 5403, 994, 2467, 616, 1079, 1114, 1949, 540, 2022, 531, 9479, 538, 946, 538, 4516, 543, 519, 2136, 2276, 269, 2690, 26784, 267, 2098, 7709, 9479, 616, 2189, 547, 519, 2136, 2276, 543, 616, 9738, 676, 519, 2136, 2276, 5403, 531, 6796, 630, 4785, 4916, 1040, 2691, 621, 2501, 547, 2022, 531, 9479, 538, 4516, 267, 789, 616, 13950, 676, 4516, 5403, 267, 799, 568, 519, 2197, 779, 13875, 6765, 8116, 563, 28657, 267, 899, 519, 2136, 2276, 267, 814, 835, 540, 519, 1034, 1134, 20452, 2022, 531, 3009, 1949, 538, 519, 1158, 267, 799, 568, 2147, 547, 519, 2136, 2276, 6185, 1005, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 267, 519, 2197, 1185, 513, 2551, 22820, 267, 799, 14626, 3660, 609, 519, 1646, 540, 713, 1062, 20136, 729, 519, 3355, 2022, 531, 3009, 267, 799, 729, 513, 1614, 18251, 1062, 602, 729, 2663, 9450, 547, 513, 3670, 18251, 1062, 4358, 538, 476, 3422, 280, 20193, 568, 1634, 607, 513, 4464, 4990, 566, 1858, 630, 293, 6347, 264, 538, 519, 1101, 1614, 9704, 540, 519, 1297, 267, 543, 621, 14687, 547, 513, 10923, 4087, 971, 607, 513, 11662, 610, 8513, 7868, 2034, 1305, 540, 1614, 9704, 12211, 547, 513, 2199, 6765, 1770, 630, 17162, 308, 1070, 799, 568, 513, 4015, 540, 9607, 602, 568, 4330, 676, 519, 1101, 1305, 540, 1614, 9704, 563, 8070, 531, 18570, 267, 12957, 267, 543, 519, 7245, 540, 15295, 1239, 723, 782, 1044, 19658, 676, 519, 946, 540, 2022, 322, 3941, 538, 4516, 267, 799, 616, 26922, 547, 2098, 7709, 9479, 538, 519, 2136, 2276, 585, 13875, 3892, 269, 10303, 540, 519, 4999, 540, 938, 5001, 14449, 543, 1655, 2987, 11665, 2029, 267, 10753, 336, 622, 20674, 4213, 782, 936, 519, 1158, 538, 2357, 4328, 7817, 9607, 269, 8794, 938, 2241, 547, 11753, 16286, 267, 938, 5561, 949, 19472, 6075, 1239, 1318, 693, 519, 4090, 540, 4015, 563, 5649, 593, 547, 1451, 811, 827, 875, 10753, 336, 622, 779, 2232, 19027, 3435, 1522, 4324, 707, 3919, 563, 8070, 13892, 12700, 543, 6176, 21213, 593, 519, 476, 2537, 6113, 540, 5988, 538, 519, 1032, 476, 1708, 272, 563, 1692, 1082, 9607, 666, 513, 2022, 13892, 723, 888, 763, 3044, 5403, 13892, 17372, 11711, 666, 1152, 1331, 513, 2698, 540, 476, 1911, 5838, 762, 1439, 9557, 829, 23350, 538, 519, 8912, 3898, 269, 634, 13038, 1763, 2064, 10471, 8761, 602, 1472, 476, 8517, 2022, 322, 3941, 630, 719, 540, 476, 272, 269, 279, 2929, 264, 723, 811, 982, 476, 1911, 5838, 762, 1439, 9557, 543, 1016, 268, 21232, 17473, 950, 519, 10471, 568, 3144, 883, 2272, 563, 7617, 2022, 13892, 814, 519, 1034, 9607, 888, 2252, 596, 6451, 519, 13038, 1763, 2064, 1344, 689, 519, 9576, 25357, 267, 519, 2022, 13892, 22008, 275, 476, 278, 3201, 7472, 5176, 476, 276, 267, 1822, 9607, 269, 22008, 275, 476, 278, 2464, 568, 519, 2034, 1034, 29245, 2022, 13892, 267, 609, 1472, 476, 272, 267, 8517, 7264, 563, 1432, 568, 519, 7887, 2022, 13892, 1858, 538, 519, 5177, 888, 763, 10001, 2022, 531, 1858, 267, 1419, 1634, 607, 769, 591, 1145, 267, 568, 519, 1034, 29245, 269, 898, 568, 1500, 909, 540, 476, 7367, 2022, 13892, 13102, 585, 2022, 10034, 602, 1118, 909, 519, 3003, 1062, 563, 1692, 2462, 568, 513, 2022, 13892, 1858, 888, 1103, 519, 2136, 8003, 267, 972, 616, 513, 2698, 540, 476, 14862, 2022, 13892, 2127, 269, 769, 519, 2136, 2276, 267, 519, 3328, 1858, 568, 476, 6507, 277, 4009, 5195, 538, 2450, 267, 609, 606, 3328, 2551, 540, 476, 276, 3451, 267, 1822, 1004, 563, 7617, 2022, 13892, 814, 519, 13074, 9607, 888, 763, 2022, 13892, 538, 519, 2136, 8003, 568, 1500, 909, 540, 2947, 547, 5722, 21229, 534, 10179, 545, 3197, 602, 10646, 2185, 3982, 2157, 540, 13664, 1770, 269, 8863, 276, 476, 274, 304, 310, 568, 519, 2232, 609, 519, 1034, 2179, 540, 3334, 538, 2474, 540, 3259, 563, 1432, 568, 513, 25948, 2022, 13892, 888, 8070, 13892, 2127, 616, 1016, 323, 22866, 883, 513, 1297, 540, 13102, 267, 1142, 540, 799, 568, 6719, 676, 519, 10230, 3296, 540, 519, 2022, 13892, 602, 14687, 547, 602, 851, 540, 519, 8513, 269, 1452, 2338, 616, 538, 519, 2039, 540, 476, 271, 547, 476, 4200, 563, 4692, 596, 6494, 513, 4484, 609, 1175, 513, 2022, 13892, 888, 22818, 6993, 2022, 13892, 602, 12851, 547, 513, 1804, 3593, 3919, 568, 11603, 14311, 585, 873, 282, 20866, 267, 621, 779, 1561, 321, 762, 602, 707, 4484, 786, 3914, 519, 3617, 18579, 950, 621, 21128, 693, 922, 10278, 20193, 568, 4105, 547, 1331, 519, 2022, 13892, 538, 513, 4484, 538, 1931, 547, 10018, 602, 621, 4991, 9447, 547, 519, 1697, 2232, 563, 4263, 519, 6207, 2547, 267, 513, 2347, 2232, 1058, 1331, 513, 23350, 8446, 543, 519, 2022, 4884, 1141, 519, 2232, 568, 4092, 11053, 820, 513, 1413, 693, 938, 5140, 5466, 3391, 547, 1118, 2386, 707, 13875, 568, 9619, 14013, 563, 1692, 1419, 616, 2022, 322, 3941, 8242, 888, 8070, 322, 3941, 616, 8242, 593, 513, 3232, 4493, 543, 616, 2139, 593, 519, 5403, 13892, 17372, 11711, 9738, 676, 519, 9576, 25357, 563, 4692, 513, 2022, 13892, 581, 4957, 888, 4462, 1652, 621, 568, 11613, 2838, 543, 972, 568, 606, 10512, 4493, 585, 3257, 865, 267, 9576, 25357, 1281, 711, 1118, 12381, 547, 2022, 322, 3941, 269, 1763, 6342, 666, 3343, 12381, 282, 2705, 267, 972, 1590, 581, 6190, 2963, 602, 782, 1346, 945, 1131, 581, 12936, 616, 538, 3870, 540, 519, 7662, 269, 2859, 1344, 949, 581, 1336, 538, 519, 9576, 25357, 779, 8943, 540, 6657, 563, 1692, 1082, 5177, 2022, 322, 3941, 616, 972, 888, 1103, 519, 2136, 8003, 267, 972, 616, 1472, 476, 272, 269, 278, 2929, 2022, 322, 3941, 563, 1692, 1082, 22402, 616, 538, 513, 2022, 13892, 888, 10376, 2022, 13892, 14687, 547, 606, 3328, 540, 1472, 476, 1428, 10821, 4559, 269, 1717, 267, 713, 568, 711, 513, 17046, 1297, 267, 607, 2022, 322, 3941, 666, 2270, 607, 1454, 607, 476, 1911, 3197, 563, 11795, 2397, 9737, 2098, 760, 8943, 543, 5403, 531, 8943, 630, 5976, 18948, 15873, 994, 2171, 616, 782, 3222, 602, 20471, 649, 2328, 938, 2022, 531, 2232, 1247, 544, 9430, 1945, 547, 2576, 538, 1776, 4087, 267, 649, 1590, 1331, 513, 3009, 693, 519, 1439, 267, 10834, 519, 5730, 4087, 585, 799, 519, 2232, 568, 5497, 269, 4322, 9479, 267, 799, 666, 581, 9981, 610, 513, 3575, 540, 2338, 543, 5022, 267, 2099, 513, 13664, 1747, 267, 1448, 267, 610, 8905, 543, 666, 581, 1224, 593, 513, 4786, 269, 5445, 616, 2022, 531, 9479, 602, 616, 1031, 676, 519, 2022, 531, 3028, 610, 4172, 8175, 4213, 547, 25117, 519, 18570, 540, 13875, 543, 2327, 602, 621, 568, 9447, 607, 3533, 607, 2009, 563, 4913, 267, 519, 2022, 531, 3009, 568, 711, 8246, 676, 782, 6082, 267, 543, 538, 930, 2665, 267, 519, 2098, 7709, 3009, 568, 1031, 3079, 540, 519, 2022, 531, 3009, 16638, 519, 1482, 1259, 602, 513, 2022, 531, 3009, 5713, 519, 1482, 3483, 267, 23407, 9479, 616, 1031, 676, 2477, 971, 607, 519, 2136, 2276, 543, 519, 13372, 547, 2697, 6753, 269, 2691, 621, 2501, 547, 2022, 531, 9479, 543, 23407, 9479, 267, 972, 568, 513, 1360, 5386, 1899, 1063, 873, 269, 7212, 789, 616, 1114, 267, 1312, 616, 1031, 585, 23332, 543, 18570, 13875, 543, 585, 12570, 519, 942, 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 ]
[ 547, 1831, 7613, 269, 3502, 1152, 798, 711, 1416, 18211, 665, 571, 10756, 12218, 1227, 8032, 4401, 1698, 267, 1063, 519, 476, 1556, 628, 543, 476, 1691, 628, 5553, 267, 519, 1698, 568, 17031, 543, 922, 6316, 3226, 2647, 267, 607, 621, 729, 1455, 547, 5957, 538, 519, 5664, 12698, 2094, 621, 3177, 1434, 4027, 1996, 9514, 338, 689, 1657, 269, 634, 11635, 30989, 1705, 711, 15936, 609, 8289, 610, 7244, 267, 799, 568, 1946, 7504, 1889, 10756, 30265, 528, 7916, 616, 2679, 7161, 540, 10120, 24915, 585, 7980, 267, 3850, 873, 547, 16784, 621, 585, 8396, 269, 634, 4773, 540, 24915, 616, 4448, 547, 1142, 824, 676, 678, 633, 1540, 2269, 1186, 8160, 539, 8148, 24915, 6186, 2882, 2062, 1301, 22902, 267, 23969, 14950, 267, 6186, 22902, 269, 5472, 938, 3140, 10063, 2388, 540, 10120, 24915, 9604, 616, 1688, 18679, 8469, 8148, 14022, 528, 5161, 540, 513, 1804, 10652, 6665, 1930, 2361, 267, 609, 513, 25170, 22739, 19492, 557, 1283, 269, 634, 3337, 540, 519, 1471, 528, 568, 2587, 1194, 693, 519, 1647, 4463, 540, 519, 18015, 543, 31732, 24851, 4064, 267, 609, 476, 1428, 2011, 642, 757, 5116, 693, 519, 13551, 563, 305, 4428, 27897, 267, 17031, 9221, 267, 543, 2451, 609, 25231, 2280, 729, 615, 4448, 547, 519, 991, 331, 907, 0, 22025, 9914, 2337, 10038, 824, 6886, 538, 707, 1560, 267, 971, 607, 9770, 7513, 543, 13101, 269, 1879, 9770, 2157, 616, 1970, 267, 11379, 2157, 2333, 269, 901, 666, 581, 835, 2014, 585, 1970, 11379, 2157, 269, 769, 2490, 267, 1164, 11379, 2157, 2569, 519, 1981, 540, 1164, 1973, 2604, 543, 8482, 563, 8802, 8973, 713, 267, 666, 1970, 9770, 2014, 1164, 11379, 888, 32451, 2370, 11379, 7679, 31013, 609, 1973, 2095, 547, 543, 689, 519, 2295, 543, 14401, 269, 8899, 2157, 540, 9770, 538, 519, 2732, 666, 2014, 707, 1560, 547, 11677, 11379, 269, 1924, 267, 1932, 267, 1970, 9770, 11326, 666, 2014, 707, 1560, 547, 1491, 538, 1932, 1454, 11379, 563, 4692, 594, 1449, 1250, 9770, 2157, 693, 1753, 888, 2414, 1449, 707, 6070, 6981, 267, 596, 2461, 513, 1590, 946, 513, 7893, 3926, 1449, 269, 15439, 1491, 513, 1507, 2179, 540, 10729, 630, 1492, 3339, 2179, 568, 827, 476, 272, 270, 273, 26412, 264, 543, 13248, 621, 538, 543, 1577, 621, 1694, 585, 827, 476, 1789, 3764, 269, 3973, 979, 547, 707, 4387, 585, 606, 4977, 1449, 269, 589, 3339, 2542, 568, 2630, 476, 273, 269, 276, 544, 292, 336, 13624, 543, 1164, 13220, 616, 519, 1267, 540, 1970, 1606, 18754, 6981, 563, 1692, 1281, 11379, 1860, 519, 2295, 888, 22025, 9914, 2337, 2149, 519, 2295, 269, 898, 11151, 519, 2295, 4887, 689, 9561, 2877, 5135, 630, 4593, 1335, 807, 1040, 28611, 267, 11379, 568, 6740, 538, 519, 2295, 4887, 543, 1973, 2281, 538, 513, 6219, 1572, 11379, 269, 8000, 9914, 568, 1271, 585, 2300, 527, 1464, 543, 19432, 540, 519, 2295, 269, 8899, 11379, 2157, 1291, 547, 2855, 20263, 5362, 630, 597, 10585, 2295, 3928, 1916, 4692, 6704, 1932, 1454, 1216, 2014, 1970, 11379, 888, 288, 1804, 1216, 4616, 666, 2014, 1970, 11379, 1973, 2157, 1813, 547, 13165, 610, 13481, 563, 1432, 568, 519, 1034, 1455, 2014, 540, 3834, 517, 520, 8145, 807, 888, 763, 1034, 1455, 3123, 540, 3834, 517, 520, 8145, 807, 616, 28453, 540, 4430, 1216, 267, 936, 4621, 18870, 540, 1216, 11656, 12862, 899, 4568, 610, 824, 7050, 5714, 6981, 602, 3112, 581, 8719, 676, 2530, 1813, 547, 13165, 267, 13481, 267, 610, 7050, 24852, 563, 4692, 1970, 11379, 2014, 1164, 22680, 888, 11947, 2157, 540, 11379, 538, 519, 1973, 6908, 666, 2014, 1164, 1973, 2604, 538, 2635, 1004, 563, 9989, 11379, 22599, 856, 9770, 888, 22025, 9914, 568, 606, 9357, 267, 1247, 9770, 568, 606, 3693, 269, 589, 2582, 2318, 5279, 538, 606, 11046, 666, 581, 7059, 676, 606, 3160, 1297, 540, 2942, 10997, 12341, 3116, 593, 519, 11046, 269, 1924, 267, 519, 1482, 1297, 540, 2318, 543, 2942, 10997, 666, 581, 7856, 2429, 606, 11046, 267, 4758, 621, 513, 9243, 2121, 5279, 563, 8138, 8019, 267, 835, 949, 849, 2307, 267, 875, 1281, 9770, 1860, 11379, 888, 306, 18754, 543, 11379, 1312, 4163, 606, 5122, 5279, 267, 865, 972, 568, 606, 16007, 1063, 891, 2609, 269, 634, 8444, 540, 891, 1079, 2609, 538, 3435, 4482, 563, 1432, 1281, 11379, 798, 538, 519, 1591, 888, 22025, 9914, 568, 606, 1271, 29296, 524, 566, 602, 568, 5950, 676, 2281, 950, 789, 616, 9599, 676, 19670, 15128, 563, 4692, 1164, 11379, 581, 3361, 676, 18024, 888, 2791, 666, 1628, 909, 513, 2067, 11379, 17211, 630, 869, 11379, 264, 950, 596, 6336, 1932, 1454, 1216, 269, 5221, 519, 1560, 2115, 11379, 547, 3666, 1216, 2157, 267, 513, 6749, 538, 1216, 6981, 666, 1291, 547, 1970, 11379, 2157, 538, 707, 1973, 269, 1411, 1810, 1406, 1256, 991, 547, 581, 13204, 3603, 547, 2569, 707, 11379, 2157, 563, 2710, 11379, 2157, 1689, 3232, 888, 7312, 8459, 568, 513, 1360, 1271, 2497, 538, 707, 1560, 602, 568, 3238, 538, 519, 7939, 540, 11379, 2157, 269, 1411, 2356, 6336, 811, 11379, 982, 596, 2744, 676, 24852, 267, 865, 621, 779, 3339, 585, 707, 2157, 547, 581, 1970, 593, 513, 3905, 1554, 269, 1358, 786, 2333, 950, 621, 4991, 16830, 563, 4692, 1970, 11379, 2014, 3666, 2042, 888, 11947, 11379, 2157, 538, 519, 1973, 666, 2014, 513, 2783, 1634, 607, 3834, 758, 531, 8598, 269, 14523, 758, 531, 8598, 568, 513, 2783, 538, 799, 596, 723, 1932, 2370, 11379, 538, 519, 1973, 269, 634, 2783, 666, 2014, 12152, 832, 267, 1000, 26677, 267, 543, 4887, 20765, 269, 8899, 11379, 2157, 666, 849, 581, 513, 1129, 540, 8459, 5821, 563, 12234, 267, 875, 1281, 9770, 543, 11379, 960, 1927, 888, 29310, 267, 9770, 543, 11379, 616, 606, 23386, 269, 634, 3114, 2012, 585, 713, 1362, 540, 6675, 568, 968, 322, 725, 2223, 2495, 968, 27168, 12274, 1848, 15474, 12274, 4482, 543, 6125, 547, 2942, 12274, 269, 1403, 972, 568, 606, 19261, 540, 2901, 10878, 266, 543, 918, 266, 12274, 610, 606, 4430, 540, 10878, 266, 12274, 267, 1216, 786, 2095, 856, 540, 519, 1591, 563, 1692, 3533, 798, 11379, 2157, 1689, 888, 288, 11379, 3666, 2356, 4422, 538, 3666, 607, 4166, 607, 596, 3548, 2614, 11379, 563, 1432, 3123, 9770, 19261, 888, 763, 1034, 1455, 2014, 540, 9770, 19261, 568, 5312, 8459, 2068, 269, 1403, 707, 14401, 798, 711, 960, 1134, 267, 707, 1560, 568, 8572, 547, 608, 4740, 4430, 6070, 267, 865, 621, 11148, 547, 11677, 519, 9770, 538, 938, 2281, 269, 901, 2783, 849, 24506, 519, 2179, 540, 5714, 938, 4703, 991, 563, 1432, 616, 3339, 11379, 543, 9770, 2157, 888, 763, 3339, 9770, 2039, 568, 476, 13670, 547, 476, 13970, 6515, 565, 13624, 269, 634, 1611, 568, 476, 15946, 6515, 565, 13624, 9770, 269, 634, 3339, 11379, 2039, 568, 476, 274, 269, 277, 547, 476, 276, 269, 272, 6515, 565, 13624, 269, 634, 1611, 568, 476, 275, 269, 275, 6515, 565, 13624, 269, 634, 3339, 17296, 2039, 568, 476, 10441, 547, 476, 8099, 6515, 565, 13624, 563, 1432, 4523, 950, 596, 723, 1932, 1454, 11379, 888, 22025, 9914, 568, 513, 7777, 1336, 6140, 538, 2371, 269, 6168, 476, 4817, 268, 9032, 260, 540, 938, 3232, 11379, 6981, 568, 3177, 676, 2371, 630, 557, 1326, 1963, 543, 5613, 264, 689, 2067, 2959, 267, 1519, 12277, 267, 20397, 267, 17436, 267, 543, 22648, 269, 18320, 1454, 11379, 568, 6757, 547, 707, 1560, 1317, 649, 723, 1100, 1259, 547, 1205, 7759, 540, 7050, 5666, 540, 713, 7777, 563, 1432, 616, 2589, 540, 1932, 1454, 11379, 888, 21618, 666, 2408, 3533, 267, 1369, 513, 1906, 3764, 267, 855, 666, 849, 1491, 2395, 543, 4374, 547, 2408, 269, 634, 2589, 540, 11379, 10638, 616, 281, 667, 20063, 267, 2295, 27621, 14591, 267, 25574, 267, 610, 15353, 563, 6701, 11379, 543, 9770, 11201, 569, 1644, 888, 22025, 9914, 543, 9770, 616, 1312, 32690, 3743, 585, 10408, 5201, 1317, 789, 616, 1507, 12274, 602, 1847, 689, 835, 1858, 540, 2281, 547, 519, 824, 269, 1809, 1247, 519, 10878, 266, 270, 298, 266, 5223, 568, 476, 272, 281, 272, 538, 513, 1591, 267, 621, 779, 519, 6587, 5223, 3544, 519, 1591, 269, 901, 1797, 602, 1247, 11379, 1058, 2333, 267, 9770, 1058, 6175, 607, 7513, 4679, 267, 543, 13030, 17930, 563, 3963, 666, 1406, 596, 2482, 1524, 1310, 2921, 11379, 888, 7312, 14401, 9004, 11379, 689, 519, 1560, 1932, 3533, 267, 799, 666, 2014, 513, 4028, 4473, 538, 11379, 2157, 269, 2659, 1560, 7363, 814, 513, 2603, 540, 6070, 543, 2115, 547, 946, 621, 547, 5372, 11379, 538, 707, 1560, 950, 596, 1491, 11379, 9360, 269, 1403, 596, 723, 1164, 2157, 540, 11379, 267, 707, 1560, 3217, 1932, 1279, 547, 23574, 707, 1973, 267, 513, 2783, 1572, 5409, 32039, 8598, 563, 4692, 1932, 1454, 6070, 2014, 1164, 11379, 888, 11947, 2157, 540, 6070, 538, 519, 2732, 666, 632, 10968, 11379, 267, 799, 568, 1271, 538, 1312, 4887, 19432, 543, 1973, 2604, 7939, 269, 2290, 1353, 5267, 602, 513, 1164, 6981, 540, 6070, 666, 3441, 519, 8459, 543, 1291, 547, 1164, 1973, 2604, 269, 0, 2005, 779, 6059, 602, 476, 3199, 2929, 9748, 540, 4496, 568, 13381, 1169, 1032, 538, 3013, 269, 3807, 875, 1281, 4496, 9657, 960, 286, 634, 3703, 5450, 1023, 27822, 5948, 6257, 875, 4496, 568, 13381, 563, 4131, 779, 1246, 519, 3460, 540, 606, 2025, 21067, 998, 513, 4496, 9657, 3028, 269, 2991, 1818, 922, 1259, 547, 519, 9657, 2030, 563, 5575, 267, 782, 10690, 3688, 543, 9348, 1782, 616, 6569, 689, 519, 21067, 269, 634, 9885, 616, 1287, 6569, 269, 3281, 816, 619, 267, 3457, 547, 1832, 519, 21067, 4411, 267, 616, 6569, 1210, 513, 3926, 2147, 547, 519, 968, 329, 9155, 540, 1272, 892, 1031, 676, 6595, 2533, 269, 634, 21067, 568, 1287, 5701, 609, 5277, 9436, 547, 2061, 1022, 30762, 689, 6464, 519, 21067, 3568, 563, 763, 21067, 568, 1631, 4712, 585, 9657, 269, 898, 779, 12628, 538, 513, 5458, 3684, 1572, 513, 3444, 2759, 32291, 602, 9397, 621, 909, 883, 2370, 11353, 269, 634, 11353, 616, 1287, 12015, 1055, 538, 1776, 29751, 3684, 1572, 513, 15018, 17684, 563, 2691, 3819, 267, 519, 11353, 979, 998, 513, 521, 10079, 543, 1287, 547, 513, 9126, 3101, 6728, 269, 19045, 568, 9674, 689, 5068, 676, 1797, 540, 513, 5458, 15914, 11275, 269, 634, 4496, 11353, 2244, 538, 5458, 4859, 25510, 269, 6168, 476, 4792, 260, 540, 513, 21067, 568, 5374, 267, 799, 568, 1631, 4712, 547, 581, 5828, 883, 1007, 4496, 2472, 269, 898, 849, 814, 476, 1321, 260, 5068, 267, 799, 666, 849, 581, 13381, 269, 0, 300, 1783, 267, 9478, 589, 563, 300, 2529, 269, 630, 22913, 540, 3163, 994, 23430, 540, 17323, 454, 305, 760, 4115, 2371, 734, 26877, 12437, 282, 24627, 338, 734, 26877, 12437, 282, 23117, 734, 26877, 12437, 282, 20837, 14498, 734, 26877, 12437, 282, 8092, 13257, 734, 26877, 12437, 454, 763, 2078, 1063, 2770, 341, 658, 2244, 13257, 543, 10664, 3270, 568, 6353, 676, 10851, 540, 10664, 2516, 6252, 547, 519, 6908, 8756, 11231, 2059, 513, 13506, 540, 6360, 4908, 269, 901, 1957, 12116, 519, 8901, 4806, 540, 18009, 4115, 10664, 607, 621, 568, 6766, 676, 2770, 341, 658, 2244, 13257, 543, 519, 3845, 27160, 4582, 566, 689, 513, 6908, 538, 8832, 13325, 269, 1879, 10664, 568, 2392, 7631, 2299, 1336, 593, 513, 2770, 341, 658, 2627, 609, 513, 1634, 6360, 4908, 267, 10664, 666, 581, 1031, 547, 3589, 6360, 4908, 1141, 3289, 6331, 545, 1239, 616, 17077, 269, 4578, 941, 6394, 2059, 17464, 4167, 338, 13902, 547, 519, 6908, 689, 519, 3742, 6360, 21622, 547, 519, 1216, 779, 6316, 693, 519, 7455, 540, 513, 803, 6387, 18846, 543, 693, 2798, 19654, 543, 25318, 540, 519, 18846, 269, 5843, 9008, 2762, 543, 2627, 3037, 9325, 2450, 941, 5462, 11617, 269, 17164, 566, 5888, 729, 6592, 998, 1899, 25435, 10386, 269, 11778, 4951, 602, 930, 2249, 543, 2010, 540, 10664, 616, 3135, 1808, 269, 5080, 5865, 14191, 547, 519, 8756, 5127, 941, 13856, 676, 2249, 811, 27031, 540, 2770, 341, 658, 3157, 269, 17164, 566, 14282, 519, 1216, 779, 6316, 25318, 540, 519, 803, 6387, 18846, 7902, 547, 581, 811, 27031, 540, 14700, 982, 10664, 693, 519, 19654, 3135, 563, 291, 578, 323, 267, 6869, 787, 333, 631, 1421, 834, 303, 16993, 540, 18009, 4115, 10664, 593, 2770, 341, 658, 2244, 13257, 538, 7187, 13325, 257, 630, 1960 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2979, 1104, 14039, 5897, 31709, 815, 10581, 9272, 3488, 295, 584, 588, 528, 2234, 773, 3771, 7333, 534, 286, 1412, 1040, 516, 2897, 263, 3299, 3299, 1412, 9538, 17903, 26319, 815, 10581, 9272, 3488, 295, 584, 561, 18033, 978, 339, 3771, 5918, 16204, 2426, 527, 286, 1412, 1040, 516, 2897, 263, 3299, 3299, 1412, 9538, 264, 10142, 15132, 636, 12401, 815, 476, 273, 2608, 8953, 2608, 14039, 1477, 331, 2355, 815, 3259, 1315, 18592, 5897, 2745, 6600, 262, 291, 340, 3771, 16204, 2426, 527, 2715, 331, 2355, 348, 15254, 341, 20298, 0, 309, 302, 16249, 318, 17803, 815, 476, 1240, 454, 11403, 2562, 32578, 318, 17803, 815, 476, 2641, 692, 258, 9577, 547, 1293, 519, 1297, 540, 2609, 538, 606, 5044, 540, 2338, 602, 616, 2362, 982, 454, 258, 610, 3160, 547, 2539, 318, 3916, 527, 454, 3698, 1293, 20189, 27941, 263, 6783, 267, 2539, 318, 3916, 527, 2187, 825, 1293, 815, 476, 271, 454, 825, 585, 1297, 538, 5044, 912, 1038, 952, 1297, 13843, 2539, 318, 3916, 527, 912, 2018, 1293, 6834, 476, 272, 454, 825, 2132, 1293, 692, 1137, 815, 29129, 6112, 630, 12528, 17750, 28701, 3403, 3488, 20597, 337, 643, 538, 679, 3331, 354, 19520, 630, 11839, 7117, 535, 23152, 1140, 1285, 16435, 25917, 2567, 1412, 4297, 11203, 1412, 336, 12466, 825, 2119, 912, 1038, 6502, 6910, 17301, 263, 12528, 17750, 4917, 825, 4849, 28759, 912, 1038, 1820, 3488, 302, 326, 2830, 580, 339, 642, 7564, 337, 1372, 17210, 2745, 6600, 262, 13510, 7663, 2006, 25419, 339, 2715, 6352, 263, 1137, 14587, 1268, 518, 535, 18033, 337, 2715, 12248, 20189, 27941, 263, 1137, 267, 966, 302, 16249, 318, 17803, 14587, 678, 7238, 560, 320, 315, 454, 522, 577, 2715, 12248, 20189, 27941, 263, 1137, 267, 19010, 2562, 32578, 318, 17803, 14587, 546, 4459, 320, 5073, 0, 5814, 15259, 454, 5228, 17511, 1104, 5903, 692, 15228, 27306, 815, 1193, 7531, 3698, 1293, 318, 1910, 13232, 318, 3650, 5091, 1824, 263, 1910, 13232, 281, 6641, 27306, 264, 9847, 703, 912, 825, 5727, 8340, 856, 875, 1082, 15956, 693, 519, 1917, 1456, 540, 513, 1623, 573, 12163, 825, 1775, 815, 476, 271, 454, 825, 1247, 7003, 263, 1910, 13232, 264, 3436, 1775, 543, 1623, 573, 5157, 316, 2652, 1412, 9538, 912, 1038, 1775, 6834, 476, 272, 454, 825, 2132, 1775, 7531, 3698, 1623, 573, 273, 4289, 263, 1910, 13232, 281, 6641, 27306, 264, 9847, 5903, 314, 1598, 14158, 825, 5727, 306, 5902, 606, 1623, 573, 547, 513, 1592, 780, 825, 7151, 912, 825, 910, 1412, 288, 11065, 5861, 262, 9847, 18358, 288, 3299, 1412, 289, 3299, 1412, 290, 23300, 825, 8173, 825, 2132, 1496, 14403, 585, 6221, 538, 1623, 573, 21858, 3488, 9538, 264, 952, 6221, 11203, 15234, 6540, 454, 3698, 1592, 273, 1910, 13232, 263, 1910, 13232, 4289, 281, 5903, 314, 1598, 8079, 9847, 6641, 27306, 912, 825, 5727, 18794, 513, 1592, 547, 1711, 513, 1623, 573, 780, 825, 7151, 912, 825, 910, 18358, 288, 3299, 1412, 289, 11172, 9847, 1412, 288, 11065, 7055, 825, 8173, 825, 2132, 29717, 8339, 21860, 263, 1910, 13232, 4289, 9239, 3698, 1623, 573, 7272, 1861, 263, 1910, 13232, 281, 6641, 27306, 264, 9847, 6641, 27306, 912, 825, 5727, 27987, 2385, 1623, 573, 780, 825, 1623, 573, 912, 1038, 606, 6207, 1623, 573, 780, 825, 7151, 912, 825, 910, 513, 12500, 6983, 9847, 513, 12500, 454, 825, 910, 513, 9847, 15234, 692, 825, 8173, 825, 2132, 29717, 8339, 21860, 263, 1910, 13232, 273, 4289, 263, 1910, 13232, 264, 11468, 268, 272, 316, 9239, 3698, 1623, 573, 9078, 770, 263, 1910, 13232, 281, 6641, 27306, 264, 9847, 1193, 912, 825, 5727, 27987, 519, 2063, 2012, 780, 825, 7151, 912, 825, 910, 513, 12500, 6983, 9847, 524, 454, 825, 910, 513, 9847, 513, 454, 825, 8173, 825, 952, 711, 1623, 573, 912, 1038, 2132, 1412, 7055, 825, 2132, 1623, 573, 273, 4289, 263, 1910, 13232, 264, 15631, 272, 6540, 454, 3698, 6207, 318, 1910, 13232, 4289, 263, 2017, 318, 1910, 13232, 281, 6641, 27306, 267, 1623, 573, 281, 6641, 27306, 264, 9847, 5903, 314, 1598, 14158, 825, 5727, 7476, 519, 6207, 1623, 573, 543, 6460, 621, 547, 513, 1592, 780, 825, 1225, 318, 1910, 13232, 912, 1038, 1699, 1623, 573, 780, 825, 1623, 573, 912, 1038, 3448, 1623, 573, 547, 1699, 1623, 573, 780, 825, 7151, 912, 825, 910, 18011, 907, 3299, 1412, 320, 12500, 6983, 10807, 9847, 18358, 320, 3299, 1412, 321, 23300, 825, 910, 630, 8339, 3299, 1412, 320, 12500, 10807, 9847, 18358, 320, 3299, 1412, 321, 23300, 825, 29185, 825, 1775, 815, 1293, 318, 1910, 13232, 318, 3650, 5091, 1824, 263, 1910, 13232, 994, 825, 952, 1775, 2652, 476, 271, 281, 476, 1948, 519, 1623, 573, 3294, 568, 606, 6207, 1623, 573, 454, 1038, 2132, 1623, 573, 273, 4289, 263, 1910, 13232, 994, 825, 3116, 912, 1038, 882, 318, 1910, 13232, 815, 1623, 573, 273, 4289, 263, 1910, 13232, 5157, 281, 7481, 1038, 952, 1775, 2652, 476, 272, 912, 2018, 2132, 1623, 573, 273, 4289, 263, 2017, 318, 1910, 13232, 264, 1341, 882, 318, 1910, 13232, 454, 1038, 3116, 912, 2018, 2132, 1623, 573, 273, 4289, 263, 2017, 318, 1910, 13232, 264, 11468, 24179, 328, 12262, 476, 273, 13580, 1341, 882, 318, 1910, 13232, 7531, 3698, 882, 12949, 273, 1910, 13232, 263, 2181, 25785, 24786, 281, 1193, 267, 521, 21683, 24786, 281, 1193, 264, 9847, 6641, 27306, 912, 825, 5727, 7049, 4733, 1623, 573, 689, 519, 2619, 780, 825, 7151, 912, 825, 910, 18011, 270, 320, 11486, 11305, 3299, 23367, 320, 11486, 11305, 7933, 27160, 18258, 10807, 9847, 1412, 323, 4318, 7055, 825, 8173, 825, 1455, 12949, 815, 15259, 29624, 2593, 3000, 12949, 8443, 2181, 25785, 24786, 267, 521, 21683, 24786, 7481, 825, 882, 12949, 815, 15259, 29624, 269, 7758, 12949, 4433, 21683, 24786, 267, 1455, 12949, 994, 825, 952, 882, 12949, 269, 1742, 5976, 3488, 269, 6853, 262, 2187, 1038, 882, 12949, 815, 882, 12949, 11468, 268, 274, 2639, 825, 8640, 882, 12949, 269, 1742, 5976, 3488, 269, 6853, 328, 262, 2187, 1038, 882, 12949, 815, 882, 12949, 11468, 268, 275, 2639, 825, 2132, 29717, 8339, 21860, 263, 7758, 12949, 21858, 263, 657, 29624, 269, 572, 335, 264, 9239, 3698, 882, 273, 629, 1087, 2096, 573, 263, 2017, 318, 1910, 13232, 281, 6641, 27306, 267, 882, 318, 1910, 13232, 281, 6641, 27306, 2187, 825, 5727, 3519, 3200, 513, 3448, 1623, 573, 547, 513, 6207, 1623, 573, 780, 825, 7151, 912, 825, 910, 18011, 320, 12500, 6983, 3299, 1412, 907, 323, 10807, 9847, 1412, 320, 12500, 6155, 7055, 825, 8173, 825, 1775, 815, 1293, 318, 1910, 13232, 318, 3650, 5091, 1824, 263, 7758, 318, 1910, 13232, 994, 825, 952, 1775, 2652, 476, 271, 912, 1038, 2132, 882, 318, 1910, 13232, 454, 825, 3116, 912, 1038, 1225, 318, 1910, 13232, 4289, 815, 1623, 573, 273, 4289, 263, 2017, 318, 1910, 13232, 994, 1038, 882, 318, 1910, 13232, 4289, 815, 1623, 573, 273, 4289, 263, 7758, 318, 1910, 13232, 5157, 281, 7481, 1038, 952, 1775, 11203, 476, 272, 912, 2018, 1225, 318, 1910, 13232, 4289, 815, 1225, 318, 1910, 13232, 4289, 11468, 24179, 328, 12262, 476, 273, 22708, 1038, 1225, 318, 1910, 13232, 4289, 269, 2169, 754, 263, 7758, 318, 1910, 13232, 4289, 994, 1038, 2132, 1592, 273, 1910, 13232, 263, 2017, 318, 1910, 13232, 4289, 994, 0, 258, 901, 3758, 568, 1141, 594, 1331, 519, 6922, 1314, 5690, 585, 1250, 21802, 3642, 799, 3097, 258, 7125, 519, 8849, 3060, 950, 621, 2115, 547, 6218, 513, 21802, 4604, 563, 692, 5814, 5299, 454, 5228, 7982, 17484, 10267, 1087, 1104, 27661, 5228, 4258, 1087, 32317, 1104, 27661, 5814, 4351, 454, 5814, 22532, 15187, 454, 5814, 4230, 692, 258, 20593, 1206, 5569, 540, 12035, 547, 4890, 1592, 540, 12035, 563, 5976, 1930, 263, 2668, 270, 18600, 2171, 2074, 270, 18600, 2171, 2074, 280, 17902, 2580, 834, 337, 8442, 607, 1250, 12803, 912, 825, 12035, 293, 815, 1250, 12803, 18667, 14061, 516, 2897, 28361, 333, 3299, 1412, 5073, 30135, 299, 815, 4230, 7456, 527, 1968, 21223, 1998, 263, 30135, 293, 2020, 258, 30498, 8849, 3060, 12035, 547, 519, 12035, 6740, 538, 519, 1257, 3758, 563, 3240, 15187, 815, 22532, 15187, 12991, 564, 8443, 5038, 267, 476, 4510, 267, 476, 1240, 267, 476, 272, 7481, 1721, 4494, 538, 2039, 12759, 30044, 15187, 7456, 16558, 9984, 272, 2187, 825, 585, 22813, 538, 2039, 12759, 30044, 15187, 7456, 16558, 314, 331, 9707, 8079, 2187, 1038, 1250, 15187, 7456, 16558, 314, 331, 9707, 6012, 928, 584, 517, 4940, 16059, 2171, 2074, 815, 12035, 299, 314, 331, 9707, 6012, 928, 584, 517, 6540, 258, 25927, 919, 519, 21802, 4604, 602, 568, 538, 519, 3014, 547, 513, 1106, 799, 568, 28505, 676, 519, 8849, 3060, 563, 3698, 14377, 32317, 29033, 2187, 825, 512, 32317, 815, 11713, 825, 585, 4737, 538, 2039, 263, 278, 267, 910, 272, 267, 910, 272, 2187, 1038, 585, 897, 538, 2039, 263, 279, 2187, 2018, 952, 4604, 314, 992, 6012, 3712, 316, 11203, 7183, 912, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 623, 11921, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 4905, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 4905, 994, 3546, 8640, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 26427, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 6349, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 6349, 994, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 21674, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 6734, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 6734, 994, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 681, 809, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 6860, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 6860, 994, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 10348, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 4962, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 4962, 994, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 3751, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 6187, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 6187, 994, 2018, 3116, 912, 3546, 512, 32317, 6910, 263, 271, 269, 271, 994, 825, 2132, 512, 32317, 692, 258, 24439, 8675, 540, 782, 7575, 1141, 1142, 4062, 1843, 814, 922, 1378, 1592, 540, 7575, 563, 3698, 1205, 5472, 300, 7174, 29033, 267, 3642, 10233, 2187, 825, 782, 300, 7174, 815, 9598, 4590, 825, 585, 4737, 538, 2039, 12759, 29033, 15892, 1038, 585, 897, 538, 2039, 12759, 29033, 314, 271, 8079, 2187, 2018, 952, 4604, 314, 992, 6012, 3712, 316, 11203, 7183, 543, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 3642, 10233, 912, 3546, 4604, 314, 992, 6012, 3712, 4940, 1326, 300, 7174, 29033, 994, 3546, 782, 300, 7174, 314, 4580, 314, 992, 6012, 3712, 14963, 815, 4604, 314, 992, 6012, 3712, 4940, 332, 7174, 454, 825, 2132, 782, 300, 7174, 692, 258, 901, 568, 519, 6922, 1314, 3406, 5690, 563, 3698, 6922, 1314, 15507, 29033, 267, 3642, 10233, 267, 1239, 2187, 825, 782, 300, 7174, 815, 1205, 5472, 300, 7174, 29033, 267, 3642, 10233, 994, 825, 1655, 30360, 815, 10581, 2891, 268, 8882, 5602, 825, 1225, 32317, 815, 14377, 32317, 29033, 994, 825, 10917, 289, 815, 5299, 19709, 788, 32476, 29033, 994, 825, 952, 568, 13425, 300, 622, 6025, 11391, 289, 267, 3642, 10233, 2187, 1038, 2132, 10917, 289, 454, 825, 585, 1883, 538, 782, 300, 7174, 912, 1038, 585, 1847, 538, 782, 300, 7174, 314, 4486, 14158, 2018, 1073, 329, 290, 4878, 815, 5299, 19709, 788, 32476, 31107, 994, 2018, 10917, 289, 815, 5299, 19709, 788, 32476, 29033, 994, 2018, 10917, 289, 314, 332, 913, 314, 271, 316, 6012, 332, 913, 314, 272, 14963, 815, 1073, 329, 290, 4878, 454, 2018, 10917, 289, 314, 28128, 290, 4878, 269, 1842, 305, 578, 6012, 28128, 290, 4878, 269, 1842, 8624, 316, 815, 7183, 454, 2018, 1073, 329, 290, 4878, 269, 1842, 305, 578, 815, 1847, 314 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4614, 1965, 1714, 562, 14243, 1067, 334, 632, 2083, 553, 679, 1714, 6446, 694, 554, 534, 844, 539, 5964, 17485, 4020, 2803, 630, 2869, 5451, 332, 728, 5609, 1035, 629, 541, 2567, 14307, 325, 10042, 994, 258, 20777, 32115, 6446, 1714, 721, 340, 9222, 21088, 533, 4240, 320, 1593, 322, 597, 562, 14243, 1067, 657, 454, 339, 787, 912, 453, 4565, 334, 13196, 25507, 9272, 2891, 300, 9508, 1714, 562, 14243, 1067, 334, 632, 11376, 13196, 281, 27328, 453, 6247, 745, 764, 542, 263, 4565, 334, 13196, 994, 21955, 912, 13537, 2891, 13286, 267, 21088, 694, 16153, 523, 562, 14243, 1067, 657, 5602, 0, 258, 290, 3195, 657, 796, 544, 18863, 29081, 16948, 1608, 4788, 1714, 791, 340, 652, 334, 1642, 3824, 637, 334, 1642, 721, 340, 9222, 454, 3698, 2301, 611, 7702, 16325, 2187, 453, 11069, 340, 652, 334, 284, 271, 454, 453, 258, 523, 1609, 324, 952, 2301, 32115, 1714, 791, 340, 652, 334, 23313, 754, 334, 2367, 528, 513, 476, 279, 4649, 2764, 454, 14851, 16325, 283, 279, 4649, 2764, 2187, 453, 453, 11069, 340, 652, 334, 284, 1037, 9230, 11133, 265, 271, 269, 1240, 9984, 4649, 277, 269, 273, 994, 453, 258, 523, 1609, 324, 3116, 2301, 32115, 1714, 791, 340, 652, 334, 23313, 754, 334, 25650, 513, 476, 279, 4649, 2764, 454, 28432, 912, 453, 453, 258, 20412, 32115, 1714, 608, 1417, 324, 586, 23313, 1965, 2367, 528, 513, 476, 271, 1232, 574, 657, 6446, 1965, 524, 3266, 454, 453, 453, 1410, 1027, 25366, 14352, 11133, 268, 279, 4649, 2764, 994, 453, 453, 11069, 340, 652, 334, 284, 1037, 9230, 1410, 1027, 25366, 265, 271, 269, 3953, 11924, 16825, 4375, 994, 453, 14851, 263, 11069, 340, 652, 334, 283, 271, 2187, 4848, 453, 11069, 340, 652, 334, 284, 271, 454, 16596, 791, 340, 652, 334, 454, 453, 258, 601, 791, 340, 652, 334, 3138, 32488, 32115, 2699, 1180, 1737, 334, 635, 334, 562, 657, 533, 728, 1714, 552, 329, 2075, 545, 1470, 454, 258, 20777, 32115, 6446, 21088, 694, 13849, 796, 562, 14243, 1067, 334, 1166, 582, 14397, 2953, 3512, 324, 454, 339, 787, 912, 453, 258, 532, 25564, 1714, 562, 14243, 1067, 334, 1166, 582, 14397, 1714, 721, 340, 9222, 454, 453, 532, 637, 334, 284, 15615, 9272, 2891, 28808, 516, 572, 1714, 562, 14243, 1067, 334, 281, 27328, 453, 258, 2865, 1090, 657, 1714, 1267, 5964, 11188, 20562, 718, 320, 454, 13537, 263, 20412, 611, 7702, 263, 532, 637, 334, 4917, 21955, 912, 13537, 2891, 13286, 267, 21088, 694, 16153, 523, 562, 14243, 1067, 657, 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 ]
[ 333, 602, 1142, 4062, 1058, 2951, 538, 14714, 788, 476, 277, 264, 2201, 1142, 7406, 267, 1039, 6152, 630, 291, 333, 2608, 966, 264, 547, 519, 2990, 540, 519, 1843, 269, 519, 1843, 786, 1847, 693, 6991, 966, 2059, 6152, 667, 333, 2476, 689, 519, 12473, 550, 516, 540, 519, 16411, 269, 901, 17648, 519, 16411, 568, 20085, 543, 519, 2604, 568, 14961, 7856, 269, 1280, 10565, 1198, 1946, 711, 281, 278, 264, 8073, 513, 1906, 5536, 543, 4019, 519, 1482, 6240, 286, 279, 264, 5269, 519, 1843, 17967, 676, 513, 4351, 2179, 538, 1079, 7852, 2864, 982, 476, 272, 286, 630, 1721, 476, 274, 323, 13502, 713, 5654, 607, 952, 789, 616, 15914, 538, 476, 274, 7852, 267, 1510, 519, 31484, 548, 264, 280, 264, 15233, 2842, 4187, 281, 9062, 966, 676, 476, 271, 269, 280, 1169, 2034, 269, 1879, 966, 568, 18481, 1507, 267, 3247, 519, 1843, 689, 3001, 269, 2690, 513, 476, 273, 323, 1062, 713, 2186, 540, 3364, 568, 782, 596, 991, 269, 1403, 596, 1616, 547, 1118, 513, 476, 274, 323, 11191, 267, 2119, 513, 6323, 2599, 269, 594, 6415, 4867, 1210, 744, 14701, 780, 1607, 1568, 1360, 1134, 585, 1018, 1775, 991, 267, 1775, 1175, 991, 547, 4137, 856, 513, 1259, 547, 1651, 528, 704, 622, 8904, 883, 519, 4542, 1775, 991, 519, 512, 675, 564, 547, 1847, 2509, 519, 2666, 267, 1775, 4312, 3893, 519, 2881, 4958, 10760, 909, 1210, 713, 4542, 855, 621, 2760, 7024, 2433, 264, 561, 565, 1775, 3513, 1294, 1018, 1775, 666, 798, 10372, 616, 7494, 15874, 780, 3412, 711, 1210, 513, 6323, 2599, 2094, 922, 513, 1507, 1788, 1775, 993, 1175, 1565, 2433, 2020, 7462, 9523, 593, 824, 4609, 692, 24836, 6143, 568, 606, 10231, 540, 1079, 3615, 2509, 1142, 824, 269, 1284, 666, 11716, 519, 2034, 1843, 630, 1492, 3618, 264, 1317, 922, 2527, 568, 865, 5458, 267, 543, 1175, 4019, 513, 3196, 547, 835, 1843, 630, 1492, 835, 538, 2243, 1040, 901, 568, 606, 7850, 3381, 3014, 19406, 540, 8904, 780, 763, 1505, 594, 946, 585, 713, 568, 2241, 563, 21163, 476, 271, 264, 1924, 596, 723, 707, 1843, 267, 609, 513, 3339, 2213, 3350, 4287, 667, 333, 269, 1411, 849, 723, 519, 6991, 966, 602, 519, 1843, 7575, 693, 780, 21163, 476, 272, 264, 6875, 519, 4287, 6152, 667, 333, 543, 9062, 621, 676, 966, 547, 1205, 519, 6152, 667, 1394, 780, 21163, 476, 273, 264, 6875, 519, 6152, 717, 267, 8204, 8904, 267, 7941, 621, 676, 519, 1297, 540, 14604, 829, 2034, 267, 543, 1039, 713, 547, 519, 1267, 269, 589, 1434, 1383, 568, 717, 14352, 271, 269, 271, 267, 910, 280, 269, 10037, 267, 476, 271, 269, 271, 8358, 325, 1186, 630, 24160, 264, 610, 717, 14352, 271, 269, 271, 267, 910, 272, 269, 277, 3374, 267, 476, 271, 269, 271, 8358, 325, 1186, 630, 1492, 7599, 267, 4083, 13612, 267, 814, 476, 272, 270, 277, 1274, 2195, 8904, 994, 19203, 9616, 602, 519, 1297, 540, 14604, 829, 2034, 568, 1271, 547, 1331, 538, 519, 8904, 6152, 267, 4946, 621, 2663, 568, 2484, 9875, 2094, 519, 1439, 1587, 540, 519, 3003, 9819, 568, 849, 5258, 676, 519, 9808, 1067, 622, 563, 734, 9616, 849, 602, 596, 666, 1039, 1927, 513, 3126, 540, 2825, 4229, 267, 971, 607, 2842, 267, 547, 713, 6152, 1354, 11173, 780, 21163, 476, 274, 264, 12433, 519, 3259, 540, 519, 1267, 543, 4558, 621, 538, 966, 267, 543, 556, 7538, 1047, 519, 6152, 543, 4558, 621, 538, 667, 333, 269, 3973, 3136, 519, 5690, 607, 829, 1250, 2063, 2022, 780, 333, 12500, 269, 594, 3533, 1205, 883, 513, 3190, 952, 594, 2119, 547, 1039, 3063, 4632, 547, 891, 9273, 269, 1924, 267, 952, 585, 1383, 596, 1616, 547, 7941, 966, 676, 519, 1297, 540, 14604, 829, 2034, 267, 4061, 4180, 602, 966, 4564, 4559, 829, 2034, 267, 798, 713, 16172, 1354, 3001, 519, 1843, 267, 2864, 982, 607, 851, 540, 519, 9273, 909, 547, 602, 1448, 269, 552, 3052, 1421, 692, 6570, 815, 2990, 1341, 630, 291, 333, 2608, 966, 32007, 2252, 596, 1616, 513, 6378, 9808, 1067, 622, 267, 946, 713, 538, 519, 3803, 9819, 1384, 6570, 815, 2990, 1341, 630, 291, 333, 2608, 966, 2608, 4626, 652, 788, 32007, 2252, 596, 1616, 547, 723, 513, 3432, 1852, 593, 519, 3014, 267, 946, 713, 1384, 6570, 815, 2990, 1341, 630, 291, 333, 2608, 966, 2608, 4626, 652, 788, 2608, 3432, 318, 26476, 32007, 663, 865, 593, 269, 8347, 547, 11753, 1346, 883, 519, 3105, 9273, 910, 7168, 2352, 780, 314, 10955, 1243, 676, 910, 2249, 4462, 4385, 593, 5988, 476, 278, 267, 476, 1220, 279, 476, 277, 281, 736, 281, 2918, 6751, 6540, 7462, 9523, 593, 824, 4609, 454, 296, 10950, 519, 15494, 540, 1022, 9073, 594, 723, 1500, 1934, 267, 2094, 594, 4769, 1405, 2628, 3007, 538, 6323, 1362, 543, 594, 1166, 6064, 539, 13004, 269, 901, 568, 513, 1062, 594, 723, 1031, 267, 543, 621, 1568, 780, 7462, 9523, 593, 824, 4609, 454, 2791, 262, 337, 1505, 1568, 13300, 585, 519, 8904, 4352, 1775, 1705, 723, 1932, 17408, 752, 930, 2418, 2433, 2020, 763, 1152, 1966, 1775, 6415, 2348, 1631, 568, 1775, 991, 547, 1847, 513, 1915, 1063, 1614, 610, 811, 1259, 9557, 267, 799, 1775, 666, 798, 267, 4352, 972, 568, 606, 8216, 2490, 3238, 267, 1775, 9364, 899, 519, 3197, 547, 2490, 7930, 15029, 3001, 2394, 789, 3068, 519, 5551, 4287, 267, 1775, 723, 2944, 713, 676, 3274, 15914, 519, 962, 7852, 547, 1118, 519, 1915, 3068, 519, 1448, 15029, 3001, 267, 713, 814, 835, 2721, 1394, 1498, 267, 519, 1915, 1223, 1439, 909, 3303, 16226, 1472, 513, 1259, 4812, 11014, 267, 568, 972, 1022, 824, 8925, 547, 1250, 1505, 2496, 7462, 9523, 593, 824, 4609, 454, 32621, 912, 22731, 2022, 676, 7083, 293, 718, 719, 2791, 262, 337, 1505, 1568, 13300, 585, 519, 8904, 4352, 1775, 1705, 723, 1932, 17408, 752, 930, 2418, 2433, 2020, 25898, 596, 2247, 10213, 803, 1018, 17408, 6545, 596, 1500, 543, 20171, 513, 3787, 540, 3009, 267, 2094, 594, 1705, 979, 547, 782, 602, 4674, 17511, 621, 856, 286, 898, 949, 948, 803, 5905, 909, 593, 1250, 1505, 269, 630, 296, 4749, 4363, 621, 547, 1250, 2828, 693, 1133, 328, 950, 789, 2307, 2147, 2055, 994, 32621, 912, 634, 1152, 1966, 1775, 6415, 2348, 1631, 568, 1775, 991, 547, 1847, 513, 1915, 1063, 1614, 610, 811, 1259, 9557, 267, 799, 1775, 666, 798, 267, 4352, 972, 568, 606, 8216, 2490, 3238, 267, 1775, 9364, 899, 519, 3197, 547, 2490, 7930, 15029, 3001, 2394, 789, 3068, 519, 5551, 4287, 267, 1775, 723, 2944, 713, 676, 3274, 15914, 519, 962, 7852, 547, 1118, 519, 1915, 3068, 519, 1448, 15029, 3001, 267, 713, 814, 835, 2721, 1394, 1498, 267, 519, 1915, 1223, 1439, 909, 3303, 16226, 1472, 513, 1259, 4812, 11014, 267, 568, 972, 1022, 824, 8925, 547, 1250, 1505, 2496, 6546, 1522, 4866, 538, 513, 5094, 8142, 267, 538, 519, 3642, 8468, 286, 7102, 3118, 267, 798, 596, 1611, 519, 3642, 12445, 9136, 286, 1403, 596, 10646, 1063, 3119, 543, 6281, 9136, 267, 596, 666, 723, 519, 1915, 3406, 3842, 3119, 9136, 267, 543, 2951, 2059, 6281, 9136, 267, 543, 723, 519, 6281, 9136, 946, 513, 2362, 1297, 540, 3515, 1472, 15174, 267, 2614, 865, 621, 5654, 5347, 269, 1411, 666, 849, 1683, 811, 1344, 593, 3197, 7180, 607, 789, 2097, 547, 513, 7944, 630, 7945, 607, 513, 6843, 1141, 789, 2015, 890, 1359, 5180, 519, 7944, 1354, 2469, 547, 519, 1985, 6843, 267, 2864, 982, 4881, 9420, 569, 5180, 543, 3478, 8929, 2020, 296, 4312, 711, 2944, 1022, 3642, 12445, 2943, 267, 855, 972, 616, 930, 7168, 4810, 1004, 538, 519, 14464, 11106, 8468, 780, 7462, 9523, 593, 824, 4609, 454, 5591, 1966, 267, 708, 2476, 689, 1250, 2780, 585, 513, 2370, 1247, 855, 607, 4166, 607, 1775, 1205, 1394, 267, 1775, 3513, 2022, 1250, 17408, 6545, 267, 4352, 972, 5631, 17408, 6545, 547, 3514, 707, 1505, 1472, 1250, 3009, 269, 898, 1058, 581, 2663, 14182, 22019, 707, 4064, 7790, 2433, 2020, 1892, 12693, 1548, 568, 707, 10794, 28319, 9452, 2496, 1103, 476, 1001, 280, 649, 616, 14120, 476, 736, 1296, 540, 10794, 28319, 14492, 256, 1109, 18704, 707, 10794, 28319, 9452, 609, 721, 780, 263, 2791, 1590, 21189, 547, 707, 10794, 28319, 14492, 2272, 24355, 1892, 476, 280, 454, 1892, 476, 1724, 454, 1892, 476, 280, 454, 1892, 476, 280, 454, 1892, 476, 1428, 454, 1892, 12693, 17072, 10803, 692, 1892, 11192, 11762, 454, 277, 4097, 5881, 277, 454, 1892, 11192, 24762, 454, 22145, 276, 3374, 274, 454, 9943, 0, 258, 9498, 692, 1892, 2904, 476, 2420, 526, 476, 1220, 279, 267, 476, 4962, 281, 1428, 6751, 454, 516, 17433, 454, 20412, 1807, 454, 288, 9498, 1522, 4159, 519, 2626, 547, 692, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 692, 553, 692, 274, 269, 3583, 274, 278, 661, 476, 1321, 692, 288, 264, 1548, 1281, 519, 26732, 4159, 1611, 888, 289, 264, 1548, 1344, 827, 519, 3070, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 666, 596, 3489, 689, 519, 9498, 781, 4159, 286, 2052, 596, 3313, 519, 3169, 2626, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 538, 8723, 8918, 10035, 286, 1946, 610, 1946, 711, 286, 666, 596, 3313, 875, 1082, 9704, 616, 538, 519, 8723, 8918, 6041, 540, 519, 1587, 476, 27898, 267, 27898, 267, 265, 277, 267, 26116, 267, 26116, 286, 11512, 780, 1892, 2904, 476, 2420, 526, 476, 1220, 279, 267, 476, 4962, 281, 2767, 6751, 454, 13043, 13231, 2764, 454, 32621, 1384, 23192, 17397, 676, 556, 17433, 454, 288, 9498, 1522, 4159, 519, 2626, 547, 692, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 692, 553, 692, 274, 269, 3583, 274, 278, 661, 476, 1321, 692, 288, 264, 1548, 1281, 519, 26732, 4159, 1611, 888, 289, 264, 1548, 1344, 827, 519, 3070, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 666, 596, 3489, 689, 519, 9498, 781, 4159, 286, 2052, 596, 3313, 519, 3169, 2626, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 538, 8723, 8918, 10035, 286, 1946, 610, 1946, 711, 286, 666, 596, 3313, 875, 1082, 9704, 616, 538, 519, 8723, 8918, 6041, 540, 519, 1587, 476, 27898, 267, 27898, 267, 265, 277, 267, 26116, 267, 26116, 286, 11512, 780, 296, 21645, 917, 1018, 621, 1797, 676, 3070, 269, 634, 1587, 540, 519, 1079, 2338, 2496, 553, 585, 519, 1101, 835, 1269, 274, 269, 3583, 274, 278, 292, 1321, 284, 274, 269, 3583, 274, 278, 24206, 346, 1015, 3867, 1321, 3686, 284, 24907, 24907, 1822, 1822, 271, 259, 607, 6719, 1862, 16341, 521, 580, 4453, 338, 1223, 723, 1044, 4503, 454, 1892, 2904, 476, 2537, 6113, 476, 1220, 279, 267, 476, 4962, 281, 6349, 7537, 454, 3712, 2421, 21497, 273, 454, 32621, 1384, 23192, 17397, 676, 556, 17433, 454, 288, 9498, 1522, 4159, 519, 2626, 547, 692, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 692, 553, 692, 274, 269, 3583, 274, 278, 661, 476, 1321, 692, 288, 264, 1548, 1281, 519, 26732, 4159, 1611, 888, 289, 264, 1548, 1344, 827, 519, 3070, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 666, 596, 3489, 689, 519, 9498, 781, 4159, 286, 2052, 596, 3313, 519, 3169, 2626, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 538, 8723, 8918, 10035, 286, 1946, 610, 1946, 711, 286, 666, 596, 3313, 875, 1082, 9704, 616, 538, 519, 8723, 8918, 6041, 540, 519, 1587, 476, 27898, 267, 27898, 267, 265, 277, 267, 26116, 267, 26116, 286, 11512, 780, 2791, 666, 3313, 547, 875, 2479, 1082, 9704, 616, 10268, 593, 519, 9498, 269, 1306, 4569, 6597, 6700, 267, 661, 1321, 1797, 1269, 265, 1015, 3867, 1321, 4151, 563, 1892, 2904, 476, 2537, 6113, 476, 1220, 279, 267, 476, 4962, 281, 1240, 7537, 454, 516, 17433, 454, 6546, 2306, 2631, 7064, 585, 8840, 621, 1524, 9087, 678, 1889, 454, 1892, 2904, 476, 2537, 6113, 476, 1220, 279, 267, 476, 4962, 281, 2918, 7537, 454, 5733, 1562, 454, 4692, 596, 3313, 519, 3169, 2626, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 538, 8723, 8918, 10035, 286, 1946, 610, 1946, 711, 2496, 2791, 666, 269, 2201, 930, 26732, 596, 666, 4188, 519, 1297, 540, 9704, 10268, 1354, 621, 4422, 883, 1414 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25087, 267, 607, 789, 666, 581, 9268, 547, 9156, 3407, 6886, 971, 607, 524, 28240, 543, 19695, 563, 2414, 2327, 519, 2922, 9657, 540, 9075, 267, 26890, 16288, 2712, 2471, 519, 1857, 547, 4894, 873, 689, 5907, 3457, 543, 1747, 873, 538, 2027, 12871, 11149, 971, 607, 1346, 2139, 693, 519, 2754, 779, 7622, 3653, 543, 9657, 18013, 630, 295, 29949, 12336, 1916, 309, 324, 16288, 814, 476, 13647, 670, 29949, 12336, 538, 519, 5177, 563, 294, 822, 514, 3400, 1407, 517, 267, 10324, 13030, 7022, 693, 26890, 16288, 5177, 543, 8581, 267, 1767, 281, 968, 289, 19495, 14001, 11642, 616, 513, 3978, 543, 19890, 3395, 9651, 602, 26890, 16288, 568, 8396, 1154, 563, 2108, 4407, 11981, 707, 1007, 11418, 713, 1032, 267, 1118, 2386, 547, 1491, 1416, 950, 9657, 707, 2025, 3283, 563, 10527, 3328, 5177, 17055, 25001, 2476, 1472, 476, 2190, 269, 276, 11899, 540, 11418, 1169, 1032, 563, 2108, 4322, 2326, 267, 952, 5701, 5265, 267, 666, 581, 513, 10516, 547, 519, 4541, 267, 13059, 3407, 2200, 1394, 547, 581, 1031, 1586, 1107, 865, 649, 666, 267, 585, 1383, 267, 1847, 547, 3167, 6472, 811, 6385, 609, 1447, 1764, 689, 5599, 811, 2200, 1848, 0, 3682, 12723, 676, 1715, 2098, 7002, 6387, 6723, 23747, 267, 4303, 2775, 14205, 902, 630, 10193, 1634, 607, 14400, 5384, 264, 568, 519, 2259, 540, 14027, 519, 23234, 1282, 4832, 676, 606, 5662, 267, 865, 10543, 21765, 786, 2063, 3476, 676, 606, 5662, 267, 1247, 27531, 519, 2067, 3141, 23438, 2053, 269, 26023, 267, 621, 3340, 4025, 609, 4832, 547, 4188, 741, 23234, 4464, 476, 272, 5662, 607, 5614, 5956, 543, 1287, 4188, 873, 1394, 547, 3044, 942, 538, 519, 15489, 563, 1103, 519, 2475, 267, 1004, 723, 1044, 11287, 4303, 2775, 14205, 902, 585, 827, 513, 4627, 1296, 1631, 267, 609, 519, 6296, 9648, 7466, 513, 1032, 269, 4892, 3323, 8026, 519, 2856, 538, 519, 476, 866, 628, 2540, 1354, 5201, 2968, 13416, 267, 609, 519, 4128, 3297, 621, 5097, 3597, 532, 538, 9297, 267, 543, 711, 538, 1648, 5726, 269, 1306, 596, 666, 1294, 267, 621, 729, 5156, 602, 4946, 606, 5662, 540, 7943, 547, 519, 1554, 8992, 2362, 7607, 267, 607, 1004, 1131, 960, 3476, 543, 1131, 1287, 723, 811, 942, 1310, 519, 1554, 547, 6108, 741, 2724, 267, 1498, 713, 568, 1100, 3476, 519, 2013, 538, 891, 2413, 2053, 563, 30706, 2094, 4303, 2775, 14205, 902, 729, 1101, 5189, 267, 621, 814, 1044, 513, 1888, 540, 9840, 1141, 1004, 723, 1044, 19163, 2436, 610, 711, 519, 2856, 814, 7691, 922, 5551, 2360, 269, 1924, 267, 1946, 568, 621, 1869, 13736, 2221, 286, 1280, 513, 1134, 26455, 2626, 267, 1577, 721, 1491, 513, 1413, 693, 922, 5294, 543, 931, 1101, 563, 8266, 540, 18370, 540, 4303, 2775, 14205, 902, 454, 272, 269, 898, 12366, 3278, 2067, 21765, 563, 12024, 1018, 621, 729, 2944, 513, 2540, 3516, 267, 713, 2259, 568, 2944, 547, 1118, 519, 1034, 540, 519, 2067, 21765, 269, 901, 2856, 666, 1869, 581, 12913, 676, 17303, 26936, 519, 3141, 23438, 543, 519, 23863, 609, 942, 2242, 269, 1280, 513, 2603, 540, 1004, 267, 713, 2306, 621, 4443, 585, 873, 547, 798, 6640, 862, 1393, 610, 1205, 856, 543, 3635, 538, 519, 6640, 267, 711, 547, 2446, 602, 741, 1453, 786, 711, 693, 1153, 950, 621, 7140, 4158, 269, 901, 568, 2523, 25368, 547, 1346, 945, 1175, 3802, 547, 1153, 267, 543, 972, 616, 1100, 21772, 269, 769, 1840, 267, 930, 5359, 1397, 602, 621, 814, 5280, 2569, 2150, 578, 731, 2621, 1282, 519, 3108, 1141, 1004, 991, 547, 581, 856, 543, 827, 267, 799, 568, 1946, 14027, 519, 23234, 568, 9833, 676, 1082, 607, 513, 3106, 2268, 607, 1134, 563, 273, 269, 898, 2337, 2569, 10913, 563, 2026, 1004, 1131, 1205, 811, 3207, 267, 4303, 2775, 14205, 902, 568, 5963, 6225, 538, 513, 1259, 602, 621, 2337, 2061, 10913, 593, 519, 4155, 610, 693, 519, 5604, 267, 799, 666, 1267, 689, 1004, 3478, 13110, 1310, 741, 6521, 269, 1656, 607, 6808, 10913, 1419, 4755, 950, 621, 568, 4158, 267, 6236, 713, 2259, 1131, 1611, 602, 649, 786, 581, 2111, 547, 2972, 811, 1769, 585, 10543, 11479, 267, 13302, 10913, 543, 9494, 513, 8101, 1297, 540, 2729, 1169, 1032, 563, 274, 269, 898, 2636, 596, 547, 18359, 5201, 563, 6097, 547, 513, 476, 3192, 271, 338, 1353, 676, 519, 2475, 4972, 540, 18815, 267, 835, 2600, 540, 5201, 602, 729, 10057, 602, 1032, 729, 10710, 998, 713, 2259, 269, 3509, 4966, 3858, 602, 621, 2337, 1648, 5726, 563, 275, 269, 898, 6770, 827, 930, 1870, 5383, 563, 288, 2603, 540, 4213, 1336, 602, 4657, 942, 814, 5280, 873, 2333, 6455, 269, 901, 568, 2523, 3020, 585, 1346, 7722, 538, 9235, 267, 5026, 543, 10685, 269, 4340, 547, 873, 267, 741, 6455, 2799, 950, 519, 3108, 1310, 960, 941, 6905, 950, 1004, 941, 811, 20916, 547, 798, 930, 10918, 610, 1491, 851, 538, 16351, 2238, 563, 276, 269, 898, 568, 1434, 585, 519, 1072, 563, 303, 1886, 7859, 9244, 8044, 602, 4303, 2775, 14205, 902, 568, 1434, 585, 519, 1072, 267, 17548, 602, 952, 1004, 616, 2016, 811, 942, 1310, 960, 610, 1153, 538, 519, 21765, 267, 1287, 789, 786, 581, 9415, 547, 4497, 538, 8516, 2238, 267, 971, 607, 6972, 267, 28185, 3101, 543, 5026, 269, 2755, 891, 2238, 666, 581, 2944, 1510, 14577, 519, 9219, 267, 513, 1434, 6871, 540, 1004, 1131, 711, 4782, 621, 950, 621, 568, 4158, 563, 8266, 540, 3117, 540, 4303, 2775, 14205, 902, 454, 272, 269, 898, 3123, 1004, 547, 8532, 811, 3154, 563, 6097, 547, 7548, 693, 16515, 30835, 2160, 7812, 22337, 940, 267, 4303, 2775, 14205, 902, 666, 2333, 4616, 540, 3154, 267, 1247, 621, 568, 1767, 547, 948, 6175, 5201, 6165, 269, 1261, 1767, 602, 4758, 1004, 606, 3063, 5662, 540, 21765, 1131, 8300, 873, 547, 979, 547, 519, 32041, 610, 519, 3440, 335, 1046, 610, 519, 32041, 267, 543, 1082, 540, 891, 2043, 1131, 711, 3802, 267, 855, 5397, 269, 1656, 538, 713, 2413, 2085, 1141, 13829, 593, 8093, 10173, 568, 540, 1164, 6161, 267, 713, 2259, 568, 711, 7357, 6225, 269, 25392, 602, 1004, 616, 1210, 811, 3154, 267, 5103, 5969, 5201, 4616, 267, 621, 786, 1175, 581, 513, 4123, 11325, 543, 711, 2731, 606, 2949, 5413, 563, 273, 269, 898, 1281, 711, 2731, 948, 18359, 1648, 563, 5194, 1353, 676, 24192, 23718, 661, 269, 16827, 543, 15623, 808, 269, 918, 582, 7770, 538, 476, 1220, 279, 1336, 602, 267, 950, 782, 18518, 17521, 14661, 741, 23234, 896, 1533, 1876, 267, 972, 729, 513, 1390, 2333, 538, 5201, 4616, 1282, 519, 2887, 1317, 540, 1004, 2348, 547, 2490, 909, 741, 2011, 8410, 1288, 532, 1949, 811, 563, 274, 269, 898, 13514, 2591, 538, 942, 15209, 563, 10214, 538, 713, 1164, 24289, 2085, 267, 4657, 942, 1869, 3340, 2576, 547, 1118, 519, 1689, 267, 2436, 621, 568, 2944, 16924, 610, 609, 5752, 269, 3143, 2339, 875, 2043, 1413, 693, 621, 267, 1818, 2386, 519, 23234, 616, 14661, 568, 513, 1469, 547, 3314, 267, 799, 666, 581, 32462, 269, 901, 666, 849, 1860, 4213, 602, 1331, 7928, 21409, 543, 824, 942, 25259, 3157, 563, 275, 269, 898, 14907, 2125, 3207, 3270, 563, 15987, 621, 568, 1175, 606, 5662, 267, 1004, 1131, 1419, 2161, 875, 1454, 519, 942, 1689, 814, 4299, 873, 267, 3226, 741, 3207, 3270, 269, 901, 568, 2523, 3020, 1851, 3237, 609, 12256, 267, 20854, 543, 1453, 269, 25613, 16040, 267, 14027, 23234, 606, 5662, 814, 9090, 1831, 513, 3787, 540, 513, 31484, 548, 585, 3885, 563, 276, 269, 898, 666, 581, 13818, 585, 707, 1072, 563, 4407, 28288, 8044, 602, 513, 942, 6521, 568, 1434, 585, 519, 1072, 267, 17837, 1589, 6382, 269, 1306, 930, 1004, 2161, 602, 4303, 2775, 30540, 5384, 786, 2285, 721, 811, 6171, 667, 267, 1866, 849, 1448, 856, 602, 519, 4503, 5662, 540, 3207, 786, 2014, 1004, 547, 12483, 3362, 267, 799, 666, 2333, 519, 1981, 585, 2295, 6285, 543, 824, 3978, 2175, 563, 5472, 538, 782, 267, 519, 5294, 543, 931, 540, 4303, 2775, 14205, 902, 1131, 4268, 1759, 2390, 1367, 6381, 269, 4746, 267, 519, 4539, 4547, 827, 676, 519, 2259, 616, 1419, 3810, 11786, 543, 616, 711, 8209, 598, 5477, 269, 1924, 267, 593, 707, 1439, 267, 1131, 596, 899, 547, 3136, 11287, 4303, 2775, 14205, 902, 610, 711, 888, 301, 7614, 773, 3204, 10008, 267, 10507, 336, 269, 568, 519, 2278, 540, 713, 2022, 543, 519, 9375, 2987, 268, 27815, 540, 938, 5816, 269, 2701, 4607, 1200, 645, 6993, 269, 538, 13188, 689, 519, 2160, 540, 6115, 543, 1200, 27587, 538, 4521, 689, 634, 2160, 540, 7147, 3427, 540, 4521, 269, 769, 1840, 547, 1373, 513, 19023, 5856, 267, 715, 7614, 773, 814, 3592, 1079, 5756, 540, 1995, 607, 513, 15818, 543, 4871, 518, 269, 1403, 596, 1131, 899, 547, 3914, 856, 547, 3346, 715, 7614, 773, 267, 1287, 979, 1934, 547, 6494, 1200, 513, 5048, 269, 0, 529, 2147, 547, 855, 1454, 811, 7920, 982, 519, 5114, 547, 513, 588, 549, 2041, 8755, 689, 513, 8254, 610, 519, 8086, 540, 6505, 7943, 689, 513, 6885, 267, 2842, 3333, 1752, 610, 11604, 543, 621, 16569, 1454, 3476, 4799, 14503, 1662, 1202, 27383, 568, 849, 1634, 607, 8755, 21901, 269, 634, 1034, 1455, 1383, 568, 8755, 10344, 563, 299, 553, 619, 849, 949, 581, 1031, 585, 519, 18532, 3483, 540, 10151, 3308, 17522, 267, 799, 949, 581, 3361, 676, 3308, 1350, 732, 267, 8755, 21901, 267, 610, 1310, 2592, 563, 288, 12681, 1376, 1194, 676, 513, 8955, 8755, 543, 7092, 689, 8755, 21901, 454, 267, 585, 1383, 267, 949, 538, 30541, 1836, 31818, 610, 1689, 513, 8184, 781, 1576, 610, 6336, 3308, 8100, 563, 269, 1977, 4750, 540, 744, 20953, 17443, 267, 476, 2568, 267, 476, 31746, 268, 26392, 563, 3080, 12681, 5143, 7195, 11985, 827, 4967, 646, 1500, 1310, 2348, 513, 8955, 695, 821, 593, 1010, 8484, 281, 834, 14503, 1662, 21901, 454, 529, 513, 1981, 267, 855, 30411, 543, 17522, 693, 513, 2565, 1448, 896, 7920, 2566, 568, 513, 3463, 547, 1272, 3294, 563, 301, 520, 1157, 1287, 3964, 513, 8955, 8047, 547, 1382, 519, 2361, 267, 543, 8136, 3744, 1857, 1242, 519, 8594, 540, 8755, 21901, 454, 8619, 4310, 676, 22795, 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 ]
[ 0, 3698, 4017, 334, 3799, 2187, 825, 952, 562, 2525, 271, 281, 2132, 476, 271, 454, 825, 952, 562, 2525, 272, 281, 2132, 476, 272, 692, 825, 4017, 272, 815, 4017, 334, 3799, 268, 272, 994, 825, 4017, 273, 815, 4017, 334, 3799, 268, 273, 2020, 825, 2132, 4017, 272, 266, 325, 756, 273, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 6600, 756, 334, 263, 1015, 4297, 0, 337, 284, 9792, 263, 1015, 994, 2745, 16868, 994, 2745, 17338, 16868, 4917, 320, 284, 9792, 263, 272, 267, 1015, 994, 2745, 5416, 994, 2745, 17338, 5416, 4917, 345, 284, 9792, 263, 273, 267, 1015, 267, 273, 994, 2745, 18750, 994, 2745, 17338, 18750, 4917, 2745, 263, 1015, 538, 1990, 994, 2745, 263, 1015, 711, 538, 1990, 994, 2745, 263, 279, 538, 1990, 994, 2745, 263, 279, 711, 538, 1990, 994, 342, 284, 9792, 263, 273, 267, 1911, 267, 275, 994, 2745, 17338, 26028, 4297, 0, 258, 13138, 2969, 4456, 7728, 302, 16692, 18317, 4629, 306, 661, 12327, 4753, 383, 485, 383, 499, 2464, 910, 4888, 5588, 288, 383, 485, 383, 499, 2464, 623, 11286, 292, 476, 273, 692, 258, 2974, 18372, 19804, 2119, 635, 642, 5451, 686, 657, 4849, 781, 563, 339, 787, 912, 453, 320, 815, 703, 9272, 3488, 301, 10179, 11456, 281, 1412, 4917, 453, 321, 815, 703, 9272, 3488, 291, 523, 7631, 11456, 281, 1412, 4917, 453, 337, 815, 513, 1315, 536, 692, 258, 4107, 8681, 334, 2144, 4592, 1965, 24594, 657, 454, 21955, 630, 19368, 13286, 267, 7392, 13286, 2567, 1948, 22209, 516, 2385, 525, 525, 16948, 897, 665, 1301, 657, 642, 5451, 686, 657, 2144, 4592, 454, 13537, 3488, 307, 633, 21573, 19804, 1966, 320, 635, 15259, 9133, 657, 632, 546, 15606, 6446, 4938, 17845, 7857, 537, 269, 5073, 21955, 20023, 19667, 1707, 13286, 912, 13537, 3488, 301, 14244, 20527, 1502, 6403, 767, 3900, 597, 19804, 562, 14243, 1067, 334, 11188, 476, 271, 269, 5073, 21955, 6206, 4580, 11328, 4533, 912, 13537, 3488, 302, 721, 340, 5451, 26369, 4776, 21105, 340, 562, 14244, 1217, 541, 15259, 546, 15606, 269, 5073, 21955, 1401, 4003, 607, 2144, 549, 912, 13537, 6600, 262, 302, 2144, 549, 679, 4186, 2784, 334, 9087, 328, 2715, 518, 549, 14857, 322, 1021, 1029, 20467, 5073, 12828, 912, 13537, 6600, 262, 302, 1267, 5964, 9087, 328, 2715, 337, 15545, 273, 325, 348, 5073, 325, 3373, 912, 13537, 3488, 14157, 974, 5033, 2181, 256, 631, 3726, 334, 1073, 3419, 5964, 256, 5073, 0, 2745, 3488, 4499, 2525, 23370, 28425, 22473, 476, 6734, 815, 4499, 284, 5073, 18905, 10098, 19617, 3266, 815, 703, 9272, 3488, 14707, 924, 522, 6305, 10098, 562, 14243, 1067, 334, 281, 1412, 4917, 572, 326, 1495, 334, 19617, 3266, 815, 703, 9272, 3488, 14707, 924, 522, 5302, 1495, 334, 562, 14243, 1067, 334, 281, 1412, 4917, 2745, 3488, 288, 1474, 320, 20527, 281, 22207, 6305, 10098, 19617, 3266, 266, 572, 326, 1495, 334, 19617, 3266, 994, 0, 18411, 2750, 2075, 6403, 857, 334, 5124, 476, 9818, 281, 13056, 9809, 320, 19804, 1982, 320, 6446, 4557, 3873, 579, 2742, 1187, 23843, 9106, 3385, 535, 747, 320, 19572, 3097, 4302, 2256, 9346, 798, 529, 1612, 5889, 5471, 4592, 1566, 322, 542, 9820, 281, 522, 562, 727, 632, 19804, 28185, 11456, 552, 3067, 657, 575, 11169, 1605, 3097, 332, 2117, 537, 269, 744, 1982, 320, 632, 591, 5451, 1583, 1698, 1794, 632, 1034, 32057, 513, 535, 747, 320, 798, 28185, 11456, 267, 8544, 15879, 6446, 3097, 14607, 636, 546, 5964, 562, 14244, 4557, 3873, 521, 18480, 1217, 5964, 2323, 339, 3512, 324, 563, 18257, 692, 3698, 535, 747, 320, 3799, 727, 8782, 3299, 575, 11169, 284, 271, 2187, 13537, 3488, 268, 262, 2608, 476, 2412, 994, 14851, 562, 727, 2652, 1412, 12466, 453, 453, 333, 727, 815, 1412, 283, 9188, 935, 515, 322, 18480, 285, 7055, 14851, 575, 11169, 2652, 1412, 12466, 453, 453, 326, 11169, 815, 476, 271, 454, 13537, 6600, 262, 302, 28185, 11456, 2715, 333, 727, 348, 905, 345, 2715, 326, 11169, 348, 575, 565, 4433, 264, 1100, 4342, 701, 517, 6737, 269, 5073, 28768, 28768, 333, 727, 815, 1193, 9272, 3488, 301, 727, 798, 808, 690, 11456, 281, 1412, 26895, 29328, 4590, 326, 11169, 815, 1193, 9272, 3488, 301, 14243, 1067, 334, 632, 717, 11169, 281, 1412, 26895, 29328, 4590, 325, 747, 320, 3799, 727, 267, 575, 11169, 994, 0, 320, 815, 1496, 273, 267, 476, 274, 267, 476, 275, 267, 476, 278, 6540, 258, 589, 851, 597, 798, 4090, 334, 900, 6446, 28075, 783, 32115, 579, 2742, 30458, 14255, 856, 571, 267, 522, 9226, 524, 6319, 579, 2742, 14270, 320, 23843, 1303, 516, 1714, 553, 454, 258, 536, 815, 513, 692, 258, 744, 340, 694, 10937, 267, 1089, 320, 7369, 320, 23843, 1130, 518, 5451, 16948, 607, 5918, 553, 1592, 553, 630, 320, 552, 536, 994, 258, 536, 314, 273, 316, 815, 476, 279, 692, 258, 3474, 320, 535, 1794, 1069, 657, 579, 2742, 524, 6759, 335, 807, 632, 30458, 267, 721, 32115, 912, 321, 815, 513, 11468, 2639, 321, 314, 273, 316, 815, 476, 279, 692, 2745, 6600, 262, 8266, 320, 589, 281, 2715, 320, 348, 5073, 2745, 6600, 262, 8266, 320, 645, 281, 2715, 321, 348, 5073, 0, 258, 13138, 23177, 19489, 7246, 383, 485, 12728, 302, 16692, 31031, 5058, 306, 692, 325, 19189, 815, 1412, 10501, 810, 900, 11473, 5124, 7055, 2745, 6600, 19189, 18622, 2897, 3488, 23911, 3299, 1412, 4517, 5514, 262, 4297, 1948, 27802, 527, 14241, 579, 2742, 5493, 822, 571, 11188, 856, 571, 454, 2745, 6600, 19189, 269, 21639, 28829, 1948, 1546, 1460, 320, 513, 9992, 848, 547, 6767, 900, 26480, 20784, 8016, 298, 267, 631, 9590, 4785, 290, 308, 6369, 563, 2745, 6600, 19189, 31573, 28829, 1948, 1546, 1460, 320, 513, 9992, 848, 547, 6767, 900, 14263, 1529, 320, 454, 2745, 6600, 19189, 269, 5115, 1388, 1125, 28829, 1948, 5719, 1460, 320, 547, 323, 657, 15259, 1286, 716, 31013, 900, 14263, 1529, 657, 267, 635, 608, 576, 23843, 798, 6305, 10098, 267, 6446, 535, 545, 541, 5451, 544, 2967, 639, 1529, 334, 454, 2745, 6600, 19189, 26644, 28829, 1948, 5719, 1460, 320, 547, 323, 553, 607, 6305, 597, 553, 1577, 6652, 632, 524, 3385, 5493, 822, 571, 900, 544, 2967, 639, 1529, 334, 454, 325, 19189, 273, 815, 1412, 825, 589, 2181, 24229, 5124, 567, 1412, 454, 2745, 6600, 19189, 273, 994, 2745, 6600, 19189, 273, 14714, 8692, 28829, 1948, 1427, 4275, 15259, 1965, 11985, 9809, 657, 964, 928, 947, 5451, 686, 657, 454, 2745, 6600, 19189, 273, 25331, 29328, 28829, 1948, 1427, 4275, 15259, 1965, 11985, 9809, 657, 964, 928, 947, 926, 657, 798, 1318, 267, 561, 5964, 25680, 17010, 454, 2745, 6600, 19189, 273, 7456, 29328, 28829, 1948, 1427, 4275, 15259, 1965, 11985, 9809, 657, 964, 928, 947, 926, 657, 798, 2451, 267, 561, 5964, 1965, 20960, 4777, 454, 0, 18411, 13052, 4932, 12195, 302, 16692, 674, 7419, 383, 485, 12728, 302, 454, 18411, 3698, 13274, 3873, 10031, 13537, 3488, 15871, 262, 2608, 476, 1789, 9239, 28768, 28768, 28768, 258, 1234, 1260, 12629, 5498, 6446, 533, 2544, 476, 273, 13274, 13757, 16948, 3021, 541, 607, 1187, 9809, 383, 369, 525, 798, 1982, 320, 9030, 454, 258, 5358, 320, 25867, 454, 4802, 3873, 4590, 2745, 3488, 453, 453, 4338, 305, 2894, 6395, 623, 312, 8025, 2177, 5073, 4802, 3873, 4590, 2745, 3488, 453, 453, 303, 312, 8025, 2177, 27878, 700, 9680, 3201, 5073, 4802, 3873, 4590, 2745, 3488, 453, 453, 303, 3633, 4629, 5073, 4802, 3873, 4590, 0, 258, 570, 18649, 8913, 680, 320, 20527, 1303, 516, 2385, 525, 525, 454, 17427, 3832, 815, 18011, 295, 27304, 21838, 3299, 1412, 306, 1075, 334, 3299, 1412, 303, 14040, 3299, 1412, 303, 644, 574, 3299, 1412, 289, 520, 1092, 535, 761, 320, 17210, 258, 7179, 18372, 512, 30186, 632, 812, 324, 4275, 1418, 714, 3385, 630, 302, 6113, 655, 620, 325, 629, 18863, 3821, 994, 2745, 4433, 9285, 10857, 534, 3832, 4297, 1948, 3674, 810, 562, 7776, 16095, 320, 522, 1609, 5964, 2067, 13005, 642, 7559, 767, 267, 3284, 523, 553, 16095, 320, 14255, 3520, 320, 632, 1820, 541, 692, 258, 631, 2033, 4275, 804, 5451, 1087, 3821, 454, 1721, 635, 5866, 538, 26816, 3832, 912, 13537, 6600, 262, 292, 340, 642, 537, 635, 518, 2715, 1260, 5866, 348, 9538, 2020, 258, 2974, 18372, 522, 2039, 454, 1721, 733, 538, 2039, 263, 271, 267, 7003, 10857, 534, 3832, 15892, 13537, 6600, 262, 292, 340, 642, 537, 635, 518, 2715, 17427, 3832, 314, 4186, 316, 348, 14255, 1064, 328, 23843, 2715, 4186, 348, 17210, 258, 570, 308, 12195, 3008, 590, 12728, 302, 22558, 7473, 383, 479, 12717, 3041, 454, 258, 26816, 3832, 314, 272, 316, 815, 1412, 8269, 3419, 518, 14397, 262, 4959, 12569, 19364, 302, 12327, 8780, 292, 267, 16843, 383, 479, 667, 2752, 18317, 4629, 780, 258, 2974, 18372, 513, 642, 7559, 767, 11003, 320, 454, 1721, 1064, 267, 635, 5866, 538, 26246, 10857, 534, 3832, 2187, 13537, 6600, 262, 292, 340, 642, 537, 635, 518, 2715, 1260, 5866, 348, 14255, 1064, 328, 23843, 2715, 1842, 348, 5073, 2745, 3488, 4467, 328, 544, 3726, 334, 256, 5073, 0, 258, 11536, 4596, 17269, 16692, 966, 2752, 8656, 12717, 3041, 692, 3698, 1449, 324, 10031, 453, 29514, 1535, 454, 453, 343, 815, 476, 279, 1948, 10497, 320, 642, 7559, 767, 521, 6759, 2291, 324, 14255, 1187, 23843, 1449, 324, 552, 562, 7776, 1100, 1982, 320, 9030, 269, 630, 18739, 17269, 700, 8016, 3201, 994, 13537, 6600, 262, 27845, 1187, 23843, 1449, 324, 267, 834, 333, 257, 1130, 324, 2715, 333, 20467, 5073, 13537, 6600, 262, 27845, 1187, 23843, 1449, 324, 267, 834, 343, 257, 1130, 324, 2715, 343, 20467, 5073, 453, 692, 258, 25284, 320, 25867, 454, 333, 815, 476, 273, 1948, 808, 5451, 513, 642, 7559, 767, 562, 267, 30775, 542, 320, 1100, 1982, 320, 9030, 552, 14255, 1187, 23843, 1449, 324, 269, 630, 18739, 17269, 23834, 15477, 3201, 994, 2745, 6600, 262, 5591, 1982, 320, 9030, 267, 834, 333, 257, 1130, 324, 2715, 333, 20467, 5073, 11687, 324, 10797, 258, 303, 4673, 513, 642, 7559, 767, 1535, 30775, 542, 541, 1100, 1965, 19817, 334, 2518, 267, 632, 557, 21573, 721, 541, 513, 5493, 822, 571, 8264, 3385, 834, 29514, 2580, 14255, 1187, 23843, 267, 1884, 525, 13005, 642, 7559, 767, 454, 2745, 6600, 262, 5591, 1982, 320, 9030, 267, 834, 343, 257, 1130, 324, 2715, 343, 20467, 5073 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 623, 269, 10390, 4083, 18922, 547, 744, 3436, 623, 269, 1924, 649, 666, 1294, 602, 2901, 594, 610, 4083, 666, 581, 3020, 780, 8923, 3314, 602, 538, 971, 2055, 9881, 363, 630, 2254, 811, 982, 264, 568, 1482, 607, 18016, 267, 543, 9881, 362, 630, 2254, 1447, 982, 264, 568, 1482, 607, 21759, 780, 2162, 7726, 476, 274, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 18725, 1797, 2473, 815, 962, 454, 273, 269, 2340, 488, 499, 1797, 2473, 18016, 962, 454, 274, 269, 18529, 1797, 2473, 9881, 362, 630, 2254, 1447, 982, 264, 962, 454, 275, 269, 18494, 1797, 2473, 2999, 962, 454, 276, 269, 6543, 479, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 715, 18529, 744, 282, 744, 6543, 479, 623, 282, 623, 18529, 1627, 16963, 3519, 7501, 1384, 272, 269, 744, 18494, 715, 454, 273, 269, 715, 18725, 744, 454, 288, 692, 18485, 594, 543, 4083, 616, 3020, 780, 289, 692, 21671, 3932, 4083, 568, 3020, 780, 290, 692, 21671, 3932, 594, 568, 3020, 780, 291, 692, 32355, 594, 610, 4083, 666, 581, 3020, 780, 22069, 333, 563, 9172, 281, 546, 692, 763, 6898, 666, 581, 12261, 547, 715, 21759, 744, 3436, 623, 21759, 1627, 269, 10390, 594, 18922, 547, 744, 2999, 715, 269, 10390, 4083, 18922, 547, 715, 815, 744, 269, 1924, 649, 666, 1294, 602, 2901, 594, 610, 4083, 666, 581, 3020, 780, 8923, 3314, 602, 538, 971, 2055, 9881, 363, 630, 2254, 811, 982, 264, 568, 1482, 607, 18016, 267, 543, 9881, 362, 630, 2254, 1447, 982, 264, 568, 1482, 607, 21759, 780, 2162, 7726, 476, 275, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 19926, 1797, 2473, 815, 962, 454, 273, 269, 3852, 358, 1797, 2473, 18016, 962, 454, 274, 269, 18494, 1797, 2473, 21759, 962, 454, 275, 269, 20734, 1797, 2473, 2999, 962, 454, 276, 269, 2340, 488, 501, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 700, 20734, 631, 282, 631, 19926, 715, 282, 715, 19926, 744, 282, 744, 2340, 488, 501, 623, 16963, 3519, 7501, 1384, 272, 269, 744, 2340, 488, 501, 700, 454, 273, 269, 623, 2340, 488, 501, 700, 454, 274, 269, 700, 19926, 715, 692, 7617, 540, 519, 1657, 8753, 568, 270, 732, 3020, 2496, 288, 692, 296, 1152, 780, 289, 692, 18485, 594, 543, 4083, 780, 290, 692, 2862, 1152, 780, 291, 692, 7656, 1152, 780, 22069, 333, 563, 9172, 281, 513, 692, 763, 6898, 666, 581, 12261, 547, 700, 2999, 631, 815, 715, 815, 744, 3436, 623, 780, 763, 8753, 14377, 547, 1384, 272, 269, 744, 3436, 700, 263, 12148, 994, 273, 269, 623, 3436, 700, 263, 16178, 994, 274, 269, 700, 815, 715, 263, 16178, 2020, 2162, 7726, 476, 276, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 3980, 495, 1797, 2473, 815, 962, 454, 273, 269, 18529, 1797, 2473, 18016, 962, 454, 274, 269, 3852, 497, 1797, 2473, 21759, 962, 454, 275, 269, 3852, 508, 1797, 2473, 2999, 962, 454, 276, 269, 3852, 358, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 570, 3980, 495, 772, 282, 772, 3980, 495, 966, 282, 966, 3852, 358, 654, 282, 654, 3852, 358, 2473, 16963, 3519, 7501, 1384, 272, 269, 654, 3852, 508, 570, 454, 273, 269, 570, 3852, 358, 2473, 454, 274, 269, 966, 3852, 508, 570, 692, 7617, 540, 519, 1657, 8753, 568, 270, 732, 3020, 2496, 288, 692, 18485, 594, 543, 8633, 780, 289, 692, 296, 1152, 780, 290, 692, 2862, 1152, 780, 291, 692, 7656, 1152, 780, 22069, 333, 563, 9172, 281, 513, 692, 763, 6898, 666, 581, 12261, 547, 570, 815, 772, 815, 966, 3436, 654, 3436, 2473, 780, 763, 8753, 14377, 547, 1384, 272, 269, 654, 2999, 570, 263, 12148, 994, 273, 269, 570, 3436, 2473, 263, 16178, 994, 274, 269, 966, 2999, 570, 263, 12148, 264, 0, 258, 4208, 1281, 6007, 17626, 15393, 4276, 4249, 513, 1909, 2496, 17098, 2336, 296, 1175, 10805, 607, 594, 723, 1044, 11842, 3833, 513, 1247, 827, 513, 1808, 2243, 602, 8057, 538, 1250, 2212, 1247, 2542, 827, 11418, 538, 1153, 563, 2026, 594, 723, 19927, 6453, 568, 513, 3017, 538, 1761, 269, 1924, 952, 649, 723, 513, 476, 280, 309, 6007, 972, 568, 513, 3017, 540, 476, 280, 309, 1063, 519, 1079, 18635, 540, 519, 6007, 269, 594, 666, 1174, 602, 543, 594, 666, 1174, 602, 952, 594, 1921, 513, 5911, 547, 519, 1079, 18635, 1287, 9211, 786, 17464, 2536, 689, 835, 15393, 547, 519, 824, 269, 769, 1249, 594, 6836, 602, 856, 543, 519, 6007, 3893, 3833, 3905, 4433, 639, 1051, 1317, 540, 9939, 540, 4187, 284, 14683, 1699, 286, 1916, 12179, 3118, 1250, 2243, 568, 952, 596, 723, 476, 273, 971, 9075, 543, 596, 1921, 519, 25962, 15393, 540, 835, 6007, 547, 519, 25023, 15393, 540, 519, 824, 6007, 1946, 1810, 1405, 519, 9211, 2095, 286, 769, 1250, 2212, 519, 3017, 540, 1761, 568, 519, 1482, 269, 1809, 538, 2259, 602, 1175, 3085, 1405, 4755, 269, 4208, 888, 27745, 2576, 2491, 803, 538, 513, 711, 1932, 7294, 1259, 286, 8729, 538, 740, 333, 9330, 692, 5591, 835, 26042, 303, 603, 1731, 657, 4330, 602, 609, 513, 476, 280, 309, 6007, 972, 568, 513, 3017, 538, 1761, 540, 476, 280, 309, 543, 713, 3017, 568, 1063, 519, 1079, 18635, 540, 519, 6007, 269, 2691, 519, 1079, 9075, 616, 4448, 1927, 607, 4330, 519, 1079, 4448, 18635, 3914, 519, 1482, 1761, 855, 1142, 6007, 14384, 1869, 15387, 513, 19073, 540, 476, 280, 309, 2066, 922, 23525, 1818, 513, 2698, 19073, 540, 476, 1240, 309, 689, 835, 796, 8588, 15393, 547, 519, 824, 855, 476, 271, 309, 1063, 519, 4448, 18635, 780, 22115, 454, 5591, 835, 26042, 763, 14724, 1259, 585, 596, 547, 1174, 713, 1131, 581, 602, 596, 991, 513, 6806, 8520, 538, 1931, 547, 1205, 9823, 1699, 547, 2095, 780, 763, 14724, 1259, 585, 596, 547, 1174, 713, 1131, 581, 602, 596, 991, 513, 6806, 8520, 538, 1931, 547, 1205, 9823, 1699, 547, 2095, 780, 5804, 1250, 1620, 540, 519, 3312, 2243, 594, 1589, 623, 603, 1731, 657, 6785, 602, 513, 2347, 5547, 729, 2877, 543, 646, 6785, 602, 585, 513, 1699, 547, 2095, 513, 1761, 3017, 568, 2877, 269, 3891, 729, 679, 638, 3931, 827, 1946, 972, 568, 1100, 1699, 2095, 950, 519, 1079, 6007, 18635, 616, 4448, 972, 1373, 1018, 646, 2219, 729, 606, 7805, 19073, 1063, 1346, 18635, 780, 263, 2252, 972, 568, 606, 3355, 19073, 1022, 2095, 786, 581, 5618, 4742, 4642, 950, 519, 1761, 3160, 2478, 2020, 303, 603, 1731, 657, 4330, 602, 609, 513, 476, 280, 309, 6007, 972, 568, 513, 3017, 538, 1761, 540, 476, 280, 309, 543, 713, 3017, 568, 1063, 519, 1079, 18635, 540, 519, 6007, 269, 2691, 519, 1079, 9075, 616, 4448, 1927, 607, 4330, 519, 1079, 4448, 18635, 3914, 519, 1482, 1761, 855, 1142, 6007, 14384, 1869, 15387, 513, 19073, 540, 476, 280, 309, 2066, 922, 23525, 1818, 513, 2698, 19073, 540, 476, 1240, 309, 689, 835, 796, 8588, 15393, 547, 519, 824, 855, 476, 271, 309, 1063, 519, 4448, 18635, 780, 28989, 855, 1775, 1810, 1405, 14183, 609, 2712, 2626, 2336, 3698, 710, 540, 5292, 339, 568, 9305, 547, 3196, 540, 606, 1528, 10078, 3364, 602, 7903, 606, 824, 1528, 10078, 3364, 543, 476, 271, 309, 2495, 3196, 547, 7903, 606, 824, 1528, 10078, 3364, 547, 1360, 2484, 563, 1103, 713, 2013, 519, 1528, 10078, 3364, 568, 538, 1106, 540, 3114, 5114, 2529, 334, 602, 952, 972, 781, 513, 476, 280, 309, 6007, 602, 1611, 966, 263, 266, 335, 1961, 264, 910, 966, 8987, 335, 1961, 264, 815, 476, 280, 309, 18092, 2680, 952, 18635, 593, 5094, 9075, 952, 596, 1921, 22791, 335, 1961, 264, 547, 11196, 335, 1961, 264, 6475, 1590, 3001, 18092, 972, 781, 1590, 930, 1699, 4586, 296, 1589, 519, 2626, 568, 2433, 2014, 540, 18635, 593, 5094, 9075, 865, 602, 3114, 5114, 786, 5949, 538, 1360, 2110, 942, 543, 1287, 1648, 540, 3114, 5114, 711, 2614, 547, 1491, 811, 6475, 630, 28700, 6475, 3738, 689, 18635, 269, 3719, 11196, 264, 18635, 1631, 814, 5595, 540, 1863, 6475, 269, 7474, 1018, 594, 7058, 865, 692, 577, 10174, 454, 1805, 3530, 9622, 7978, 454, 20112, 16588, 454, 303, 603, 1731, 657, 10484, 8702, 547, 21668, 256, 589, 5714, 21658, 786, 948, 1934, 269, 6056, 540, 1142, 6007, 607, 513, 1507, 6802, 602, 15387, 4010, 476, 280, 309, 540, 834, 12304, 675, 257, 1063, 922, 3403, 22791, 264, 543, 3977, 11196, 264, 23525, 780, 2691, 596, 1921, 1079, 15450, 1927, 538, 3126, 267, 1018, 4523, 286, 4256, 12503, 1039, 269, 634, 1101, 835, 7472, 476, 280, 309, 540, 2604, 267, 543, 519, 1985, 835, 3217, 602, 543, 25242, 621, 1776, 476, 280, 309, 269, 634, 3977, 1131, 581, 476, 1240, 309, 2362, 538, 2604, 982, 519, 3403, 780, 268, 25303, 692, 28989, 855, 1775, 1810, 1405, 14183, 609, 2712, 2626, 2336, 3698, 710, 540, 5292, 339, 568, 9305, 547, 3196, 540, 606, 1528, 10078, 3364, 602, 7903, 606, 824, 1528, 10078, 3364, 543, 476, 271, 309, 2495, 3196, 547, 7903, 606, 824, 1528, 10078, 3364, 547, 1360, 2484, 563, 1103, 713, 2013, 519, 1528, 10078, 3364, 568, 538, 1106, 540, 3114, 5114, 2529, 334, 602, 952, 972, 781, 513, 476, 280, 309, 6007, 602, 1611, 966, 263, 266, 335, 1961, 264, 910, 966, 8987, 335, 1961, 264, 815, 476, 280, 309, 18092, 2680, 952, 18635, 593, 5094, 9075, 952, 596, 1921, 22791, 335, 1961, 264, 547, 11196, 335, 1961, 264, 6475, 1590, 3001, 18092, 972, 781, 1590, 930, 1699, 4586, 296, 1589, 519, 2626, 568, 2433, 2014, 540, 18635, 593, 5094, 9075, 865, 602, 3114, 5114, 786, 5949, 538, 1360, 2110, 942, 543, 1287, 1648, 540, 3114, 5114, 711, 2614, 547, 1491, 811, 6475, 630, 28700, 6475, 3738, 689, 18635, 269, 3719, 11196, 264, 18635, 1631, 814, 5595, 540, 1863, 6475, 269, 7474, 1018, 594, 7058, 865, 692, 15916, 5100, 344, 2676, 8855, 602, 513, 6007, 568, 1500, 540, 2281, 4448, 1927, 269, 7197, 1286, 9075, 723, 3670, 2281, 538, 3126, 543, 952, 972, 729, 513, 1761, 3017, 1063, 11105, 4448, 18635, 14768, 1131, 2095, 543, 519, 6007, 1131, 4166, 2196, 1524, 1256, 950, 711, 4448, 547, 606, 5007, 5547, 269, 6546, 3085, 1405, 4755, 28560, 594, 1174, 596, 7157, 594, 1589, 596, 616, 11021, 602, 513, 811, 2143, 7778, 1131, 2015, 519, 7998, 540, 9075, 543, 952, 602, 568, 519, 2013, 594, 1589, 594, 3858, 609, 596, 269, 19013, 594, 798, 711, 917, 2614, 827, 519, 7998, 540, 9075, 547, 1118, 1022, 5483, 8292, 780, 338, 2684, 773, 1417, 4768, 454, 20112, 16588, 454, 14157, 5653, 568, 519, 6052, 2016, 547, 513, 1770, 5279, 269, 1703, 568, 513, 14965, 21658, 269, 1403, 594, 6749, 513, 17200, 689, 513, 1101, 6989, 6885, 630, 7474, 781, 519, 835, 1657, 519, 2666, 6989, 910, 585, 519, 19160, 540, 938, 2475, 3988, 1070, 621, 786, 798, 513, 1978, 2179, 540, 3441, 950, 621, 16125, 519, 2666, 269, 1403, 594, 979, 547, 519, 2034, 6989, 6885, 267, 519, 17200, 786, 798, 7466, 607, 1454, 3441, 593, 8757, 519, 2666, 269, 1403, 594, 6749, 621, 689, 519, 2034, 6989, 543, 621, 3338, 593, 519, 1101, 6989, 2545, 935, 344, 267, 621, 786, 798, 519, 1482, 3441, 607, 538, 519, 1101, 2013, 269, 898, 781, 782, 513, 2339, 540, 519, 16338, 538, 15627, 543, 711, 519, 1412, 11274, 5193, 4463, 23823, 10376, 8184, 540, 3268, 594, 979, 909, 8591, 547, 519, 3400, 13901, 15783, 6052, 594, 2285, 519, 17200, 269, 3962, 8426, 596, 1039, 538, 3126, 547, 513, 6007, 3947, 519, 10997, 513, 3787, 540, 3063, 1648, 563, 289, 2660, 625, 1152, 1577, 1699, 856, 540, 741, 1341, 23525, 543, 883, 741, 910, 23525, 865, 789, 786, 711, 1683, 606, 4835, 2619, 585, 1699, 689, 519, 9075, 2901, 2427, 547, 11166, 998, 873, 269, 634, 1341, 12363, 786, 711, 1577, 979, 540, 1022, 9211, 282, 621, 781, 1932, 11112, 1178, 25290, 873, 543, 11319, 873, 1524, 3330, 519, 6007, 950, 621, 666, 269, 634, 1699, 814, 547, 2095, 1472, 519, 5007, 5547, 2619, 543, 998, 519, 4452, 780, 4131, 781, 2161, 596, 723, 476, 273, 9075, 269, 3962, 835, 814, 476, 272, 269, 276, 309, 563, 763, 3114, 6547, 3330, 519, 6007, 666, 1152, 1847, 9211, 689, 1341, 547, 910, 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 ]
[ 12223, 274, 269, 476, 30019, 267, 476, 25851, 267, 476, 20862, 267, 12223, 267, 476, 31816, 12223, 275, 269, 476, 1911, 267, 476, 1220, 267, 476, 4968, 267, 476, 6110, 267, 12223, 12223, 276, 269, 476, 8517, 267, 476, 12010, 267, 21718, 267, 476, 272, 476, 1911, 267, 476, 272, 476, 1220, 12223, 277, 269, 476, 274, 476, 1220, 267, 476, 274, 476, 4968, 267, 476, 274, 476, 6110, 267, 30269, 267, 476, 274, 476, 7785, 12223, 278, 269, 476, 272, 476, 1822, 267, 476, 273, 476, 1822, 267, 30269, 267, 476, 275, 476, 1822, 267, 476, 276, 476, 1822, 12223, 279, 269, 476, 275, 476, 1822, 267, 476, 276, 476, 1822, 267, 30269, 267, 476, 278, 476, 1822, 267, 476, 279, 476, 1822, 1548, 2262, 568, 4646, 286, 23084, 13090, 476, 273, 269, 5623, 5620, 10453, 11291, 14921, 476, 273, 1700, 547, 476, 274, 1700, 323, 13424, 2338, 676, 23385, 540, 476, 1015, 338, 543, 476, 1911, 338, 269, 11910, 593, 15321, 10453, 547, 4194, 519, 1739, 5751, 593, 519, 4604, 269, 513, 269, 476, 1015, 1535, 476, 4097, 815, 536, 269, 476, 1911, 1535, 476, 6321, 278, 815, 524, 269, 476, 2004, 1535, 476, 6321, 815, 546, 269, 476, 4968, 1535, 476, 26839, 815, 552, 269, 476, 3583, 1535, 476, 10602, 815, 645, 269, 25833, 11242, 476, 272, 269, 10558, 532, 519, 7689, 5403, 519, 1966, 593, 519, 4604, 269, 1677, 16436, 5561, 267, 27493, 8111, 21466, 3947, 476, 272, 476, 1822, 10918, 2798, 585, 1169, 6718, 540, 476, 272, 6292, 540, 10887, 269, 1215, 1082, 2798, 786, 596, 1205, 952, 596, 4444, 476, 275, 8424, 286, 14572, 519, 1966, 912, 1892, 476, 5908, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 5908, 1109, 5231, 8827, 476, 272, 281, 1635, 7368, 1840, 476, 272, 476, 1822, 1341, 476, 272, 476, 1822, 1341, 476, 272, 476, 1822, 1341, 476, 272, 476, 1822, 815, 476, 275, 476, 1822, 2798, 8827, 476, 273, 281, 1635, 5564, 28745, 476, 272, 476, 1822, 1535, 476, 275, 476, 275, 476, 1822, 8074, 281, 25092, 519, 1875, 25179, 7857, 1287, 24509, 519, 1297, 540, 21325, 538, 519, 1587, 269, 476, 273, 269, 27400, 519, 11314, 11910, 593, 15321, 10453, 547, 4194, 519, 1739, 5751, 593, 519, 4604, 267, 543, 1287, 2491, 741, 3435, 547, 519, 1362, 269, 476, 272, 264, 476, 272, 476, 1822, 476, 273, 264, 476, 272, 476, 1822, 476, 274, 264, 476, 272, 476, 1822, 476, 275, 264, 476, 272, 476, 1822, 476, 276, 264, 476, 272, 476, 1822, 1535, 476, 273, 1535, 476, 279, 1535, 476, 736, 1535, 476, 3953, 1535, 476, 866, 476, 274, 269, 14409, 519, 11314, 9105, 930, 10453, 547, 1397, 741, 960, 538, 1362, 269, 2913, 873, 2491, 741, 4267, 269, 1401, 4624, 4267, 689, 10453, 281, 1284, 3773, 2185, 476, 272, 476, 1822, 338, 547, 1205, 519, 2626, 269, 1284, 16611, 476, 272, 476, 1822, 676, 476, 273, 547, 1205, 519, 2626, 269, 22716, 1125, 519, 1739, 281, 1677, 9062, 476, 273, 547, 476, 274, 18251, 2338, 676, 476, 272, 476, 1822, 267, 9062, 519, 1875, 25179, 7857, 1101, 267, 543, 1287, 24509, 21325, 538, 519, 1587, 269, 476, 275, 269, 22365, 1721, 1424, 519, 10417, 2913, 519, 10453, 1404, 968, 11321, 25070, 476, 272, 476, 1822, 5608, 513, 3014, 827, 14921, 2338, 676, 476, 272, 476, 1822, 269, 6828, 519, 1362, 609, 4557, 2818, 1142, 269, 2290, 540, 519, 2818, 540, 519, 1895, 786, 1796, 538, 4395, 269, 18044, 476, 272, 547, 476, 273, 18251, 1297, 799, 519, 10453, 786, 9062, 547, 476, 272, 476, 1822, 269, 634, 1101, 20194, 547, 2328, 519, 2953, 2626, 593, 519, 4604, 4927, 581, 2016, 476, 1911, 2798, 269, 634, 1101, 1895, 547, 18645, 476, 272, 476, 1822, 2798, 786, 581, 519, 16771, 269, 12726, 476, 272, 268, 547, 476, 273, 18251, 2338, 281, 476, 2537, 476, 275, 476, 1015, 476, 2190, 476, 4792, 476, 7761, 476, 274, 476, 2537, 476, 2767, 476, 5655, 476, 2412, 476, 278, 454, 1892, 476, 6942, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 6942, 1109, 5231, 2913, 519, 10453, 798, 811, 5751, 269, 5620, 873, 960, 593, 11242, 476, 272, 543, 476, 273, 538, 519, 30838, 269, 8382, 6206, 281, 11314, 476, 272, 281, 476, 272, 264, 476, 275, 476, 1822, 476, 273, 264, 476, 274, 476, 1822, 476, 274, 264, 476, 276, 476, 1822, 476, 275, 264, 476, 278, 476, 1822, 476, 276, 264, 476, 273, 476, 1822, 476, 277, 264, 476, 277, 476, 1822, 476, 278, 264, 476, 279, 476, 1822, 476, 279, 264, 476, 1321, 476, 1822, 476, 280, 264, 476, 4375, 476, 1822, 476, 1015, 264, 476, 5379, 476, 1822, 11314, 476, 273, 281, 476, 272, 264, 476, 272, 476, 1822, 1535, 476, 276, 815, 476, 276, 476, 1822, 5798, 476, 273, 264, 1912, 303, 272, 476, 1822, 1535, 476, 273, 815, 1912, 303, 273, 476, 1822, 476, 276, 269, 5681, 3405, 1944, 519, 7689, 1215, 798, 649, 9062, 476, 273, 1700, 547, 476, 274, 1700, 323, 13424, 2338, 676, 476, 272, 476, 1822, 286, 476, 277, 269, 16792, 547, 1715, 543, 4033, 32163, 725, 2913, 519, 10453, 2626, 519, 1966, 538, 11314, 476, 274, 538, 519, 30838, 14350, 269, 8382, 6206, 281, 476, 272, 264, 476, 272, 476, 1822, 1535, 476, 276, 815, 476, 276, 476, 1822, 5774, 525, 1023, 476, 273, 264, 476, 272, 476, 1822, 1535, 476, 279, 815, 476, 279, 476, 1822, 1608, 600, 753, 529, 595, 269, 16214, 32167, 2812, 798, 11314, 476, 275, 538, 519, 30838, 269, 3629, 519, 10453, 606, 2534, 6656, 269, 8382, 6206, 281, 476, 272, 264, 476, 274, 476, 1822, 476, 273, 264, 476, 277, 476, 1822, 476, 274, 264, 476, 278, 476, 1822, 476, 275, 264, 476, 276, 476, 1822, 476, 276, 264, 476, 280, 476, 1822, 476, 277, 264, 476, 1015, 476, 1822, 476, 278, 264, 476, 5379, 476, 1822, 476, 279, 264, 476, 1789, 476, 1822, 476, 280, 264, 476, 2764, 476, 1822, 476, 1015, 264, 476, 4281, 476, 1822, 667, 269, 5851, 11314, 25849, 11314, 476, 276, 538, 519, 30838, 607, 6780, 269, 8382, 6206, 281, 476, 272, 264, 476, 273, 264, 476, 274, 264, 476, 275, 264, 476, 276, 264, 476, 277, 264, 476, 278, 264, 476, 279, 264, 476, 280, 264, 8382, 476, 279, 476, 1822, 476, 1704, 476, 1822, 476, 276, 476, 1822, 476, 6246, 476, 1822, 476, 4649, 476, 1822, 476, 278, 476, 1822, 476, 1704, 476, 1822, 476, 279, 476, 1822, 476, 1321, 476, 1822, 14594, 631, 589, 717, 594, 595, 700, 589, 631, 623, 1261, 3357, 856, 540, 519, 631, 8980, 2975, 700, 21283, 256, 7689, 476, 2412, 6480, 26305, 15733, 10432, 476, 275, 20638, 6480, 1493, 519, 1587, 540, 476, 273, 268, 547, 476, 274, 18251, 2338, 543, 476, 272, 268, 547, 476, 273, 18251, 2338, 609, 10257, 2164, 10025, 10312, 1677, 9062, 476, 273, 547, 476, 274, 18251, 2338, 676, 476, 272, 476, 1822, 267, 9062, 519, 1875, 25179, 9704, 1101, 267, 543, 1287, 24509, 21325, 538, 519, 1587, 269, 634, 1297, 540, 21325, 538, 519, 2188, 568, 3160, 547, 519, 1297, 540, 21325, 538, 519, 1587, 563, 1892, 476, 6642, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 6642, 1109, 5231, 3026, 520, 1145, 538, 835, 779, 19106, 2776, 7528, 15363, 10341, 681, 15929, 1055, 2338, 10049, 7089, 6486, 267, 2262, 2042, 267, 5961, 19019, 531, 30332, 589, 269, 2776, 14083, 11242, 476, 272, 269, 3220, 650, 18044, 1297, 6486, 543, 1577, 10453, 2697, 519, 1747, 1871, 540, 519, 896, 20040, 9704, 269, 6201, 281, 476, 23056, 476, 24833, 277, 476, 11277, 276, 476, 9083, 4097, 476, 13670, 277, 476, 5002, 7176, 476, 6344, 7176, 476, 273, 269, 5623, 6828, 519, 1362, 883, 1079, 269, 3962, 1895, 786, 2824, 513, 11347, 945, 786, 2328, 519, 4267, 593, 519, 4604, 630, 821, 16311, 656, 585, 1169, 6221, 1040, 634, 1895, 609, 519, 5207, 1297, 540, 2798, 17993, 269, 18044, 519, 2338, 269, 2552, 652, 1218, 786, 2328, 519, 17031, 1055, 1297, 593, 519, 4604, 269, 6201, 281, 513, 269, 18471, 1055, 547, 519, 14282, 9937, 476, 14689, 476, 24487, 476, 16318, 476, 24487, 276, 536, 269, 18471, 1055, 547, 519, 14282, 7366, 476, 28670, 476, 12553, 476, 20720, 476, 274, 476, 6924, 476, 280, 1321, 524, 269, 18471, 1055, 547, 519, 14282, 5215, 476, 24833, 277, 476, 14862, 273, 476, 4281, 273, 272, 476, 25834, 280, 476, 14862, 276, 645, 269, 25833, 11242, 476, 272, 269, 10558, 532, 519, 7689, 10558, 519, 1966, 593, 519, 4604, 269, 28064, 267, 476, 6795, 275, 1426, 15004, 616, 9447, 547, 519, 14977, 874, 3019, 623, 32631, 20491, 570, 592, 784, 4741, 269, 6168, 875, 1082, 1426, 15004, 616, 1373, 4607, 676, 519, 20491, 570, 592, 784, 4741, 538, 476, 278, 2395, 286, 11512, 547, 519, 10453, 519, 2495, 540, 519, 2262, 968, 12671, 1848, 15681, 873, 602, 621, 10522, 513, 1297, 602, 568, 968, 2254, 3169, 2223, 543, 602, 585, 713, 3483, 267, 519, 14282, 7447, 568, 1373, 4280, 563, 1892, 476, 6245, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 6245, 1109, 5231, 22716, 1125, 519, 1739, 281, 1879, 21501, 2472, 267, 5180, 1055, 1142, 3815, 547, 922, 5207, 1747, 1871, 267, 1287, 9062, 269, 630, 8855, 281, 1684, 711, 5180, 1055, 476, 272, 18251, 2188, 4700, 8058, 547, 519, 10453, 519, 3268, 281, 3040, 18471, 1055, 519, 2188, 547, 741, 5207, 1747, 1871, 269, 3040, 25092, 519, 4611, 2188, 269, 476, 6795, 275, 476, 7785, 1535, 476, 278, 1535, 476, 278, 476, 275, 476, 15647, 476, 275, 476, 1220, 476, 18987, 3396, 2920, 783, 1587, 6480, 13846, 1587, 476, 275, 476, 15647, 568, 14282, 547, 476, 275, 476, 1220, 865, 519, 2626, 568, 10257, 269, 476, 273, 269, 27400, 519, 11314, 2913, 519, 10453, 2491, 741, 1378, 1620, 540, 519, 1079, 3268, 269, 12315, 1079, 811, 2259, 5751, 269, 513, 269, 476, 4510, 476, 2412, 536, 269, 476, 15150, 476, 1220, 2473, 476, 1240, 1535, 736, 1535, 476, 1724, 1535, 476, 1015, 476, 31134, 476, 8517, 476, 5379, 273, 476, 273, 476, 1822, 476, 4510, 476, 15150, 476, 8064, 273, 6059, 1587, 476, 273, 476, 16573, 2920, 783, 1587, 2920, 783, 1587, 9105, 281, 1548, 568, 476, 4391, 538, 17031, 1106, 286, 1548, 568, 476, 1428, 538, 17031, 1106, 286, 1548, 568, 519, 17031, 1106, 540, 476, 1708, 286, 1548, 568, 519, 17031, 1106, 540, 476, 1691, 286, 1772, 707, 2626, 10257, 286, 4208, 286, 476, 274, 269, 14409, 519, 11314, 9105, 281, 1548, 3268, 798, 596, 1246, 538, 21501, 2472, 286, 1879, 798, 649, 5180, 909, 286, 1879, 798, 649, 5180, 1524, 286, 476, 275, 269, 22365, 1721, 1424, 519, 10417, 1684, 11314, 476, 272, 538, 519, 30838, 676, 8424, 269, 9181, 741, 4267, 19952, 269, 2913, 519, 10453, 798, 11242, 476, 273, 543, 476, 274, 538, 519, 30838, 14350, 269, 8382, 6206, 281, 11314, 476, 272, 281, 476, 272, 264, 476, 12573, 476, 273, 264, 476, 25851, 476, 274, 264, 476, 18231, 476, 275, 264, 476, 274, 476, 1822, 476, 276, 264, 476, 276, 476, 7785, 6059, 1587, 454, 1892, 476, 5002, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 5002, 1109, 5231, 476, 277, 264, 476, 8517, 476, 278, 264, 476, 274, 476, 1220, 476, 279, 264, 476, 273, 476, 4335, 476, 280, 264, 476, 272, 476, 8517, 476, 1015, 264, 476, 277, 476, 1822, 11314, 476, 273, 281, 476, 272, 264, 476, 4968, 1535, 476, 1789, 815, 476, 280, 476, 1822, 476, 273, 264, 476, 1220, 1535, 476, 2004, 815, 476, 1015, 476, 1822, 476, 274, 264, 476, 4968, 1535, 476, 736, 815, 476, 277, 476, 1822, 476, 275, 264, 476, 1911, 1535, 476, 2412, 815, 476, 275, 476, 1822, 476, 276, 264, 476, 8517, 1535, 476, 1015, 815, 476, 279, 476, 1822, 11314, 476, 274, 281, 476, 272, 264, 476, 1015, 1535, 476, 2412, 815, 476, 6110, 630, 12671, 476, 6110, 3440, 23445, 264, 476, 273, 264, 476, 9873, 1535, 476, 274, 815, 476, 29496, 630, 12671, 476, 29496, 27371, 264, 476, 276, 269, 5681, 3405, 1944, 519, 7689, 1215, 798, 649, 7447, 519, 1587, 540, 476, 273, 268, 547, 476, 274, 18251, 2338, 16611, 676, 476, 272, 268, 547, 476, 273, 18251, 2338, 286, 5231, 476, 277, 269, 16792 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1931, 454, 1038, 1247, 1775, 318, 10864, 2510, 2999, 7003, 263, 10864, 2510, 264, 610, 1775, 29223, 14476, 2999, 7003, 263, 1842, 14476, 17107, 2018, 952, 1775, 318, 10864, 2510, 2999, 7003, 263, 10864, 2510, 2187, 3546, 1225, 318, 17463, 815, 2612, 263, 10864, 2510, 5157, 318, 10864, 2510, 7481, 2018, 3116, 912, 3546, 1225, 318, 17463, 815, 10581, 3488, 8882, 17210, 2018, 952, 1775, 29223, 14476, 2999, 7003, 263, 1842, 14476, 2187, 3546, 1225, 318, 27168, 815, 1064, 14476, 5157, 29223, 14476, 2639, 2018, 3116, 912, 3546, 1225, 318, 27168, 815, 10581, 3488, 8882, 17210, 2018, 952, 1225, 318, 17463, 10922, 1225, 318, 27168, 912, 3546, 15044, 8217, 6910, 263, 2017, 318, 17463, 994, 3546, 1775, 318, 10864, 2510, 6834, 476, 272, 692, 2018, 952, 1225, 318, 27168, 10922, 1225, 318, 17463, 912, 3546, 15044, 8217, 6910, 263, 2017, 318, 27168, 994, 3546, 1775, 29223, 14476, 6834, 476, 272, 692, 1038, 2132, 1496, 330, 2878, 476, 273, 585, 737, 538, 15044, 8217, 2639, 0, 258, 5470, 7829, 2119, 7721, 1061, 3625, 454, 339, 787, 912, 825, 2085, 815, 703, 9272, 3488, 720, 281, 1412, 4917, 825, 4747, 815, 476, 1220, 876, 454, 825, 1981, 815, 4747, 1315, 2085, 454, 825, 1820, 263, 720, 994, 21955, 20023, 19667, 1707, 13286, 912, 825, 1820, 2891, 6358, 568, 476, 271, 799, 568, 711, 4570, 5602, 21955, 28759, 912, 825, 1820, 2891, 6358, 568, 711, 513, 4570, 1297, 5602, 0, 5228, 28184, 5793, 1104, 2608, 692, 10174, 284, 307, 330, 10797, 324, 284, 22209, 787, 20172, 267, 8700, 284, 2004, 267, 536, 326, 6889, 19990, 2580, 535, 326, 6889, 19009, 2580, 8473, 12296, 284, 273, 994, 324, 4877, 871, 4590, 324, 27044, 263, 271, 2437, 11767, 2659, 2012, 281, 15419, 3698, 1250, 12812, 10031, 825, 32597, 6889, 15916, 834, 266, 324, 10947, 4590, 825, 1250, 299, 8475, 284, 299, 8475, 20172, 267, 1257, 284, 31435, 994, 825, 1250, 299, 8475, 4877, 871, 10797, 3240, 3719, 2023, 284, 3719, 2023, 20172, 267, 1257, 6889, 11767, 2659, 2012, 256, 2580, 14950, 343, 284, 2004, 267, 533, 8014, 284, 1015, 267, 4971, 284, 3240, 12812, 267, 535, 326, 6889, 19990, 2580, 536, 326, 6889, 1042, 5602, 3240, 3719, 2023, 4877, 871, 10797, 10174, 6230, 664, 31467, 3890, 0, 5228, 28184, 5793, 1104, 2608, 692, 10174, 284, 307, 330, 10797, 3698, 1250, 12812, 10031, 825, 1250, 299, 8475, 284, 299, 8475, 20172, 267, 1257, 6889, 16100, 267, 1775, 4945, 539, 7735, 8627, 5602, 825, 1250, 299, 8475, 4877, 871, 10797, 3240, 3719, 2023, 284, 3719, 2023, 20172, 267, 1257, 6889, 12812, 2725, 256, 2580, 14950, 343, 284, 2004, 267, 533, 8014, 284, 1015, 267, 4971, 284, 3240, 12812, 267, 535, 326, 6889, 19990, 2580, 536, 326, 6889, 1042, 15419, 3240, 3719, 2023, 4877, 871, 10797, 10174, 6230, 664, 31467, 3890, 0, 3863, 18425, 815, 3403, 3488, 11767, 513, 1297, 281, 30386, 339, 787, 912, 825, 538, 19056, 815, 703, 263, 3863, 18425, 994, 21955, 912, 825, 538, 19056, 815, 910, 476, 272, 692, 604, 538, 19056, 3436, 476, 271, 912, 825, 1820, 3488, 301, 823, 960, 256, 5073, 12828, 912, 825, 1820, 3488, 8253, 513, 1297, 5073, 0, 258, 595, 1348, 334, 11188, 10790, 308, 454, 3698, 24140, 31980, 6025, 4973, 26000, 326, 1495, 657, 2567, 3097, 825, 700, 8379, 25492, 815, 476, 1911, 271, 454, 825, 1775, 815, 476, 271, 692, 825, 1247, 1775, 2999, 2698, 26000, 326, 1495, 657, 912, 1038, 1820, 19304, 9217, 4917, 1038, 1775, 6834, 476, 272, 454, 1038, 952, 1775, 2652, 700, 8379, 25492, 912, 2018, 1820, 2891, 312, 320, 1609, 553, 544, 8500, 642, 773, 14765, 8627, 26008, 13961, 521, 15282, 733, 18372, 512, 731, 732, 476, 1911, 271, 513, 10722, 657, 1535, 291, 5602, 2018, 1820, 2891, 295, 1794, 12667, 334, 281, 834, 1341, 1193, 6025, 4973, 26000, 326, 1495, 657, 264, 1341, 834, 5302, 1495, 657, 5602, 2018, 2736, 672, 8528, 3698, 8544, 318, 5733, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 2187, 825, 5302, 318, 6996, 815, 630, 24629, 1341, 476, 1321, 910, 8544, 264, 2608, 8544, 318, 523, 26000, 326, 454, 825, 5302, 19963, 25123, 815, 630, 20204, 910, 476, 272, 910, 513, 25123, 264, 2608, 513, 25123, 318, 523, 26000, 326, 454, 825, 2698, 26000, 326, 1495, 657, 815, 5302, 5091, 807, 1341, 5302, 318, 6996, 1341, 5302, 19963, 25123, 454, 825, 24140, 31980, 6025, 4973, 26000, 326, 1495, 657, 2020, 3698, 8544, 318, 5443, 657, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 2187, 825, 5302, 318, 6996, 815, 630, 24629, 910, 8544, 264, 2608, 8544, 318, 523, 26000, 326, 454, 825, 5302, 19963, 25123, 815, 630, 20204, 910, 513, 25123, 264, 2608, 513, 25123, 318, 523, 26000, 326, 454, 825, 2698, 26000, 326, 1495, 657, 815, 5302, 5091, 807, 1341, 5302, 318, 6996, 1341, 5302, 19963, 25123, 454, 825, 24140, 31980, 6025, 4973, 26000, 326, 1495, 657, 2020, 3698, 2196, 10031, 825, 1948, 291, 17144, 4890, 454, 825, 1104, 30220, 454, 825, 1032, 815, 30220, 6155, 622, 6745, 3736, 14061, 20204, 454, 825, 3923, 815, 30220, 6155, 622, 6745, 3736, 14061, 24629, 454, 825, 1554, 815, 30220, 6155, 622, 6745, 3736, 14061, 1485, 454, 825, 1948, 3519, 951, 18059, 632, 546, 807, 267, 8544, 586, 513, 25123, 679, 5302, 1495, 657, 454, 825, 546, 807, 318, 523, 26000, 326, 815, 476, 279, 5038, 876, 454, 825, 8544, 318, 523, 26000, 326, 815, 476, 4029, 2608, 546, 807, 318, 523, 26000, 326, 454, 825, 513, 25123, 318, 523, 26000, 326, 815, 476, 1321, 2608, 8544, 318, 523, 26000, 326, 692, 825, 1820, 2891, 295, 7637, 267, 6864, 6403, 10540, 337, 27222, 26453, 518, 513, 2889, 343, 574, 611, 3512, 324, 24140, 656, 657, 546, 6403, 553, 6328, 12667, 334, 5602, 825, 513, 25123, 815, 703, 9272, 2891, 3269, 22958, 3266, 683, 806, 17010, 26453, 518, 679, 6446, 513, 25123, 562, 659, 626, 324, 563, 825, 552, 329, 6374, 334, 263, 476, 1960, 280, 476, 2567, 5727, 4917, 825, 8544, 815, 703, 9272, 2891, 312, 1862, 2485, 379, 601, 8544, 286, 552, 329, 6374, 334, 263, 476, 275, 476, 2567, 27328, 825, 546, 807, 815, 703, 9272, 2891, 288, 1817, 320, 1862, 2485, 379, 290, 340, 5451, 331, 535, 826, 8913, 546, 17144, 632, 562, 659, 574, 1304, 334, 286, 552, 329, 6374, 334, 630, 476, 278, 476, 2567, 27328, 825, 952, 546, 807, 3436, 1554, 912, 1038, 1554, 815, 1554, 1341, 476, 4029, 454, 1038, 3923, 815, 3923, 910, 476, 272, 454, 1038, 5302, 5091, 807, 815, 630, 1485, 910, 546, 807, 264, 2608, 546, 807, 318, 523, 26000, 326, 454, 1038, 952, 8544, 3436, 3923, 912, 2018, 8544, 318, 5733, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 994, 1038, 3116, 912, 2018, 8544, 318, 5443, 657, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 994, 825, 3116, 912, 1038, 5302, 5091, 807, 815, 630, 1485, 910, 546, 807, 264, 2608, 546, 807, 318, 523, 26000, 326, 3097, 1038, 952, 8544, 3436, 3923, 912, 2018, 8544, 318, 5733, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 994, 1038, 3116, 912, 2018, 8544, 318, 5443, 657, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 2020, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2196, 3890, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 4351, 692, 258, 16797, 4990, 1210, 713, 568, 711, 7123, 4990, 2336, 258, 6056, 713, 5044, 912, 258, 476, 272, 476, 274, 476, 273, 476, 274, 476, 273, 476, 275, 476, 276, 476, 273, 454, 258, 634, 1101, 476, 274, 786, 1439, 909, 1310, 519, 2034, 835, 563, 692, 3698, 15652, 10490, 267, 533, 267, 678, 2187, 825, 1883, 815, 589, 314, 337, 6540, 825, 1775, 815, 533, 910, 476, 272, 692, 825, 585, 795, 538, 1535, 9792, 9638, 267, 678, 17107, 1038, 952, 589, 14728, 316, 10922, 1883, 912, 2018, 1775, 6834, 476, 272, 454, 2018, 589, 5157, 3910, 589, 14728, 316, 815, 589, 14728, 3910, 589, 5157, 6540, 825, 1775, 6834, 476, 272, 454, 825, 589, 5157, 3910, 589, 314, 337, 316, 815, 589, 314, 337, 3910, 589, 5157, 6540, 825, 795, 815, 1775, 454, 825, 737, 815, 533, 910, 476, 272, 692, 825, 1948, 2745, 795, 267, 1775, 454, 825, 1948, 2745, 589, 692, 825, 1247, 6936, 912, 1038, 1247, 6936, 912, 2018, 795, 20699, 476, 272, 454, 2018, 952, 589, 14728, 316, 11203, 1883, 912, 3546, 2736, 16963, 1038, 1247, 6936, 912, 2018, 737, 6834, 476, 272, 454, 2018, 952, 589, 25208, 316, 2652, 1883, 912, 3546, 2736, 3248, 1038, 952, 737, 2999, 795, 912, 2018, 589, 14728, 3910, 589, 25208, 316, 815, 589, 25208, 3910, 589, 14728, 2639, 1038, 3116, 912, 2018, 2736, 454, 825, 2132, 795, 1341, 476, 272, 267, 1775, 692, 258, 634, 1505, 2630, 568, 1454, 1732, 692, 3698, 15652, 273, 10490, 267, 533, 267, 678, 2187, 825, 1883, 815, 589, 314, 337, 6540, 825, 1775, 815, 533, 910, 476, 272, 692, 825, 585, 795, 538, 1535, 9792, 9638, 267, 678, 17107, 1038, 952, 589, 14728, 316, 2999, 1883, 912, 2018, 1775, 6834, 476, 272, 454, 2018, 589, 5157, 3910, 589, 14728, 316, 815, 589, 14728, 3910, 589, 5157, 6540, 825, 1775, 6834, 476, 272, 454, 825, 589, 5157, 3910, 589, 314, 337, 316, 815, 589, 314, 337, 3910, 589, 5157, 6540, 825, 795, 815, 1775, 692, 825, 1948, 2745, 795, 267, 1775, 454, 825, 1948, 2745, 589, 692, 825, 585, 737, 538, 1535, 9792, 9217, 1341, 476, 272, 267, 678, 910, 476, 272, 2187, 1038, 952, 589, 25208, 316, 2652, 1883, 912, 2018, 795, 6834, 476, 272, 454, 2018, 589, 25208, 3910, 589, 14728, 316, 815, 589, 14728, 3910, 589, 25208, 6540, 825, 2132, 1775, 267, 795, 692, 3698, 19747, 318, 4820, 819, 10490, 267, 533, 267, 678, 2187, 825, 1775, 815, 4351, 27110, 9638, 267, 337, 994, 825, 589, 5157, 3910, 589, 314, 337, 316, 815, 589, 314, 337, 3910, 589, 5157, 2639, 825, 2132, 15652, 273, 10490, 267, 533, 267, 678, 2020, 3698, 844, 6506, 677, 10490, 267, 533, 267, 678, 2187, 825, 952, 533, 2999, 678, 912, 1038, 7117, 272, 267, 7117, 273, 476, 815, 19747, 318, 4820, 819, 10490, 267, 533, 267, 678, 2020, 1038, 844, 6506, 677, 10490, 267, 533, 267, 7117, 272, 910, 476, 272, 994, 1038, 844, 6506, 677, 10490, 267, 7117, 273, 1341, 476, 272, 267, 678, 9239, 3698, 1292, 3890, 1384, 825, 1250, 8217, 815, 1496, 4351, 27110, 263, 271, 267, 476, 1015, 264, 585, 1775, 538, 1535, 9792, 263, 271, 267, 476, 736, 264, 23378, 825, 1820, 1250, 8217, 692, 825, 1820, 834, 4820, 819, 281, 4840, 825, 1820, 15652, 273, 30044, 8217, 267, 476, 271, 267, 7003, 30044, 8217, 264, 910, 272, 994, 825, 1820, 1250, 8217, 692, 825, 1820, 834, 638, 6506, 677, 4840, 825, 844, 6506, 677, 30044, 8217, 267, 476, 271, 267, 7003, 30044, 8217, 264, 910, 476, 272, 2020, 825, 1820, 1250, 8217, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 4351, 692, 5035, 645, 4306, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1883, 2187, 1038, 1582, 269, 4486, 815, 1883, 454, 1038, 1582, 4877, 815, 7183, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 1193, 4311, 269, 4486, 2020, 5035, 645, 4306, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 7183, 692, 3698, 645, 4306, 318, 12133, 24867, 267, 562, 17107, 825, 586, 815, 7183, 454, 825, 1535, 815, 570, 269, 10174, 692, 825, 1247, 1535, 11203, 7183, 912, 1038, 586, 815, 1535, 692, 1038, 1948, 1284, 666, 882, 1933 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1079, 11105, 5011, 780, 299, 655, 2742, 476, 1556, 269, 280, 630, 22704, 540, 513, 9406, 21121, 1040, 634, 1858, 540, 513, 1318, 6906, 568, 835, 28451, 540, 519, 1587, 540, 519, 13080, 540, 922, 7953, 780, 31628, 332, 476, 1556, 269, 1015, 630, 22704, 540, 513, 21121, 1040, 634, 1858, 540, 513, 6906, 568, 3160, 547, 835, 28451, 519, 3259, 540, 1022, 3490, 16611, 676, 519, 7222, 4463, 780, 17357, 3326, 776, 476, 1556, 269, 1556, 630, 31590, 4120, 6215, 4575, 14497, 1040, 14597, 13235, 543, 589, 7460, 616, 12730, 602, 723, 513, 1455, 7602, 494, 6629, 6629, 20681, 454, 2515, 7460, 267, 971, 602, 589, 543, 589, 1312, 9114, 593, 513, 1899, 6252, 547, 7460, 269, 3973, 590, 13235, 815, 590, 589, 7460, 4586, 17357, 3326, 776, 476, 1556, 269, 1321, 630, 31590, 4120, 9351, 1160, 15251, 14497, 1040, 14597, 13235, 543, 9474, 595, 616, 12730, 609, 513, 1455, 14584, 589, 267, 971, 602, 519, 2798, 645, 267, 595, 267, 645, 2073, 595, 616, 897, 15035, 3973, 692, 306, 13235, 815, 7460, 1547, 590, 9474, 595, 645, 595, 692, 31628, 332, 476, 1556, 269, 1724, 630, 22704, 540, 513, 3004, 19649, 1355, 1040, 634, 1858, 540, 513, 25671, 1355, 568, 519, 3328, 540, 519, 13080, 540, 519, 13279, 16611, 676, 519, 4463, 780, 17357, 3326, 776, 476, 1556, 269, 1691, 630, 22704, 540, 513, 23155, 6945, 1040, 634, 1858, 540, 513, 25521, 568, 519, 3259, 540, 1022, 3490, 16611, 676, 519, 7222, 4463, 780, 6637, 476, 1321, 281, 5381, 640, 692, 31628, 332, 476, 1321, 269, 272, 630, 9558, 6638, 540, 5381, 640, 540, 10222, 9201, 1040, 5565, 12730, 602, 616, 1312, 2147, 547, 513, 3791, 6906, 616, 2147, 547, 1142, 824, 780, 16378, 494, 6629, 6629, 20681, 454, 31628, 332, 476, 1321, 269, 273, 630, 763, 17121, 4149, 5902, 614, 14497, 1040, 14597, 13235, 568, 513, 6906, 267, 543, 568, 513, 1899, 6252, 547, 7460, 602, 692, 5793, 4167, 338, 9474, 693, 606, 9703, 1448, 667, 269, 3973, 849, 12969, 338, 8028, 693, 606, 9703, 1448, 661, 267, 543, 519, 1739, 17114, 692, 3835, 1384, 284, 692, 663, 692, 284, 780, 5723, 8028, 692, 24174, 10566, 692, 31628, 332, 476, 1321, 269, 274, 630, 8150, 5381, 640, 14497, 1040, 1403, 972, 568, 513, 19359, 1063, 519, 14622, 540, 1079, 12730, 971, 602, 1079, 8424, 540, 7222, 7285, 616, 21412, 267, 1287, 519, 12730, 616, 2147, 896, 602, 19359, 780, 31628, 332, 476, 1321, 269, 275, 630, 13436, 21121, 14716, 14497, 1040, 1403, 13235, 568, 513, 6906, 543, 16692, 568, 1022, 10126, 267, 7602, 494, 6629, 6629, 20681, 454, 6533, 593, 1142, 2427, 540, 16692, 267, 972, 568, 513, 1448, 674, 971, 602, 13235, 3980, 376, 667, 9128, 16317, 31628, 332, 476, 1321, 269, 276, 630, 7704, 306, 5381, 640, 14497, 1040, 1403, 13235, 543, 667, 9128, 616, 12730, 971, 602, 9474, 270, 14701, 815, 8028, 270, 5263, 815, 7460, 270, 9128, 2073, 1287, 13235, 3980, 376, 667, 9128, 16317, 31628, 332, 476, 1321, 269, 277, 630, 306, 3008, 5381, 640, 14497, 1040, 1403, 9474, 270, 14701, 815, 8028, 270, 5263, 2073, 1287, 13235, 3980, 376, 667, 9128, 16317, 27398, 543, 692, 291, 9128, 616, 12730, 971, 602, 19110, 288, 3980, 376, 284, 19110, 291, 543, 692, 31628, 332, 476, 1321, 269, 278, 630, 10521, 3690, 951, 1023, 14497, 1040, 14597, 543, 616, 6252, 3515, 267, 543, 544, 543, 562, 616, 1079, 3982, 1098, 951, 1023, 547, 543, 5870, 693, 513, 1448, 2473, 602, 568, 711, 593, 2901, 610, 1547, 2913, 631, 543, 715, 581, 519, 2798, 1141, 544, 543, 562, 267, 6606, 267, 2743, 6902, 543, 1577, 631, 543, 715, 581, 519, 2798, 1141, 789, 2743, 1547, 3973, 2473, 300, 715, 3980, 376, 2473, 300, 715, 16317, 31628, 332, 476, 1321, 269, 279, 630, 3519, 2091, 547, 519, 17121, 4149, 5902, 614, 14497, 1040, 14597, 13235, 568, 513, 6906, 267, 543, 667, 543, 661, 616, 9703, 2798, 593, 9474, 543, 8028, 267, 6606, 267, 971, 602, 692, 16378, 494, 6629, 6629, 20681, 692, 16378, 494, 6629, 6629, 20681, 692, 10190, 16692, 568, 6252, 547, 7460, 780, 5723, 8028, 692, 31628, 332, 476, 1321, 269, 280, 630, 17951, 548, 645, 529, 10725, 1160, 15251, 1275, 14497, 1040, 14597, 13235, 568, 513, 6906, 543, 667, 568, 513, 1448, 593, 7460, 602, 849, 6013, 593, 519, 20312, 10725, 540, 19110, 289, 3722, 269, 3973, 692, 9720, 9474, 815, 563, 17584, 8028, 692, 31628, 332, 476, 1321, 269, 1015, 630, 13640, 5537, 5741, 542, 14497, 1040, 14597, 2073, 544, 267, 562, 267, 512, 267, 543, 512, 616, 3982, 3515, 971, 602, 544, 562, 282, 512, 12969, 338, 2073, 544, 267, 543, 562, 693, 589, 267, 645, 267, 543, 595, 267, 6606, 282, 543, 512, 12969, 338, 519, 1482, 1614, 3515, 693, 589, 2073, 645, 2073, 543, 595, 2073, 6606, 269, 1403, 645, 568, 1063, 589, 543, 595, 267, 1287, 645, 568, 1063, 589, 543, 595, 2073, 543, 692, 5723, 589, 645, 692, 284, 692, 780, 6195, 645, 595, 692, 31628, 332, 476, 1321, 269, 1556, 630, 24464, 601, 9476, 779, 14497, 1040, 2913, 13235, 581, 513, 6906, 269, 14597, 667, 267, 661, 267, 674, 616, 2798, 1019, 23807, 478, 5166, 689, 692, 288, 267, 645, 267, 595, 543, 14084, 593, 971, 602, 2901, 1079, 540, 519, 2798, 9114, 593, 13235, 610, 9039, 540, 873, 798, 269, 3973, 667, 267, 661, 267, 543, 674, 616, 692, 3712, 15035, 952, 543, 1152, 952, 692, 4696, 18688, 18435, 5788, 5788, 815, 476, 272, 563, 24174, 10566, 674, 589, 692, 31628, 332, 476, 1321, 269, 1321, 630, 290, 21416, 779, 14497, 1040, 14597, 13235, 568, 513, 6906, 267, 543, 667, 267, 661, 267, 674, 616, 2798, 538, 519, 954, 12542, 540, 9474, 267, 7460, 267, 543, 11404, 267, 6606, 3973, 519, 1614, 2781, 341, 2103, 589, 292, 267, 645, 293, 2073, 543, 7131, 616, 21276, 952, 543, 1152, 952, 692, 4696, 18688, 18435, 5788, 5788, 815, 476, 272, 563, 24174, 10566, 674, 589, 692, 31628, 332, 476, 1321, 269, 1724, 630, 8469, 1014, 1230, 2017, 5270, 14497, 1040, 634, 1199, 2103, 540, 513, 6906, 616, 21276, 267, 543, 519, 3845, 689, 519, 1448, 540, 10167, 547, 1142, 14584, 568, 7466, 519, 3845, 547, 519, 30268, 540, 519, 6587, 2427, 780, 31628, 332, 476, 1321, 269, 866, 630, 31590, 4120, 9351, 2480, 2718, 14497, 1040, 1403, 1079, 12730, 616, 2147, 267, 1287, 519, 5223, 540, 741, 2127, 454, 529, 519, 4009, 540, 519, 5223, 540, 741, 7222, 2427, 13080, 282, 602, 568, 267, 952, 13235, 3980, 376, 667, 9128, 543, 9474, 815, 678, 5788, 16692, 267, 1287, 590, 13235, 815, 678, 273, 5788, 590, 667, 9128, 16317, 31628, 332, 476, 1321, 269, 736, 630, 5226, 7310, 10561, 9351, 2480, 2718, 14497, 1040, 1403, 1079, 23756, 9076, 559, 831, 1023, 616, 2147, 267, 1287, 519, 5223, 540, 741, 2127, 568, 519, 4009, 540, 519, 5223, 540, 741, 7222, 2427, 13080, 780, 6637, 476, 1724, 281, 9406, 12730, 454, 31628, 332, 476, 1724, 269, 272, 630, 763, 25355, 14497, 1040, 14597, 13235, 568, 513, 1318, 6906, 609, 1318, 5086, 693, 595, 267, 543, 1577, 513, 267, 536, 267, 543, 524, 20301, 519, 13080, 540, 519, 5011, 6587, 589, 267, 645, 267, 543, 595, 267, 6606, 269, 3973, 513, 273, 1341, 536, 273, 815, 524, 273, 563, 31628, 332, 476, 1724, 269, 273, 630, 3519, 2091, 547, 519, 25355, 14497, 1040, 14597, 13235, 568, 513, 6906, 609, 2427, 13080, 513, 267, 536, 267, 543, 524, 269, 1403, 513, 273, 1341, 536, 273, 815, 524, 273, 267, 1287, 13235, 568, 513, 1318, 6906, 267, 543, 922, 30494, 568, 519, 2427, 540, 3259, 524, 269, 14497, 476, 1724, 18414, 269, 274, 630, 306, 728, 700, 9975, 540, 476, 1789, 268, 2568, 268, 3445, 10222, 9201, 1040, 769, 513, 6906, 609, 5086, 3800, 476, 1789, 414, 501, 355, 267, 476, 2568, 414, 501, 355, 267, 543, 476, 3445, 414, 501, 355, 267, 519, 3476, 1850, 568, 476, 274, 2053, 607, 1279, 607, 519, 10156, 1850, 267, 543, 519, 30494, 568, 7466, 607, 1279, 607, 519, 10156, 1850, 269, 14497, 476, 1724, 269, 275, 630, 306, 728, 700, 9975, 540, 476, 3393, 268, 3393, 18414, 268, 3445, 10222, 9201, 1040, 769, 513, 6906, 609, 5086, 3800, 476, 3393, 414, 501, 355, 267, 476, 3393, 414, 501, 355, 267, 543, 476, 3445, 414, 501, 355, 267, 519, 7953, 616, 21412, 267, 543, 519, 30494, 568, 476, 273, 2053, 607, 1279, 607, 2901, 1850, 563, 18414, 14497, 476, 1724, 269, 276, 630, 13312, 21192, 540, 513, 12384, 1040, 769, 513, 4009, 267, 1142, 15497, 568, 476, 273, 2053, 607, 1279, 607, 1142, 2427, 563, 31628, 332, 476, 1724, 269, 277, 630, 7704, 306, 1401, 14571, 14497, 1040, 14597, 513, 267, 536, 267, 543, 524, 616, 2318, 1483, 2338, 971, 602, 1142, 835, 568, 14553, 1447, 982, 519, 2040, 540, 519, 824, 1079, 269, 3973, 972, 6818, 513, 6906, 609, 2427, 13080, 513, 267, 536, 267, 543, 524, 563, 17357, 3326, 776, 476, 1724, 269, 278, 630, 7704, 306, 14716, 14497, 1040, 14597, 513, 267, 536, 267, 543, 524, 616, 2318, 1483, 2338, 971, 602, 1142, 835, 7602, 494, 6629, 6629, 20681, 454, 529, 14553, 1447, 982, 519, 2040, 540, 519, 824, 1079, 267, 543, 9474, 568, 513, 10126, 540, 3259, 524, 269, 3973, 593, 2901, 2427, 540, 9474, 267, 972, 6818, 513, 1448, 595, 971, 602, 13235, 814, 2427, 13080, 513, 267, 536, 267, 543, 524, 6587, 14622, 589, 267, 645, 267, 543, 595, 267, 6606, 563, 31628, 332, 476, 1724, 269, 279, 630, 14738, 21121, 5381, 640, 14497, 1040, 634, 15820, 547, 519, 30494, 540, 513, 1318, 6906, 11912, 621, 883, 1079, 12730, 602, 616, 2147, 547, 1142, 824, 543, 547, 519, 3312, 6906, 563, 31628, 332, 476, 1724, 269, 280, 630, 14738, 21121, 1160, 15251, 14497, 1040, 769, 1169, 1318, 6906, 267, 519, 1739, 17114, 3180, 912, 5416, 264, 634, 15820, 547, 519, 30494, 568, 519, 12166, 1611, 540, 519, 20327, 540, 519, 1079, 7953, 5196, 519, 30494, 780, 6357, 264, 3962, 1850, 568, 519, 12166, 1611, 540, 922, 16879, 5196, 519, 30494, 543, 519, 2898, 30494, 563, 31628, 332, 476, 1724, 269, 1321, 630, 763, 25355, 14740, 1040, 1403, 16564, 568, 1022, 1483, 1297, 538, 519, 8884, 1496, 271, 267, 476, 5197, 3910, 1287, 630, 7562, 16564, 264, 273, 1341, 630, 6523, 16564, 264, 273, 815, 476, 272, 563, 31628, 332, 476, 1724, 269, 1724, 630, 763, 4521, 540, 15328, 1149, 1040, 2913, 13235, 581, 1022, 6906, 267, 543, 1577, 513, 267, 536, 267, 543, 524, 20301, 519, 13080, 540, 519, 5011, 6587, 589, 267, 645, 267, 543, 595, 267, 6606, 269, 3973, 454, 320, 273, 1341, 536, 273, 815, 524, 273, 1341, 476, 273, 629, 5430, 19110, 290, 780, 31628, 332, 476, 1724, 269, 1691, 630, 25187, 540, 590, 1149, 1040, 2913, 13235, 581, 1022, 6906, 267, 543, 1577, 513, 267, 536, 267, 543, 524, 20301, 519, 13080, 540, 519, 5011, 6587, 589, 267, 645, 267, 543, 595, 267, 6606, 269, 3973, 692, 7562, 19110, 288, 815, 5609, 19110, 289, 815, 5609, 19110, 290, 16317, 320, 692, 321, 692, 322, 692, 31628, 332, 476, 1724, 269, 1428, 630, 15463, 517, 779, 16754, 1040, 2913, 13235, 581, 513, 6906, 267, 543, 1577, 513, 267, 536, 267, 524, 20301, 519, 13080, 540, 519, 5011, 6587, 589, 267, 645, 267, 543, 595, 267, 6606, 269, 3973, 692, 272, 454, 306, 13235, 815, 630, 338, 4433, 6567, 513, 7565, 338, 6567, 536, 7565, 338, 6567, 524, 4297, 476, 273, 692, 3602, 521, 815, 630, 320, 1341, 536, 1341, 524, 8358, 273, 630, 21406, 519, 10859, 704, 9014, 540, 13235, 1916, 31628, 332, 476, 1724, 269, 1626, 630, 11764, 4813, 10358, 1040, 14597, 14668, 543, 16061, 616, 1483, 2338, 971, 602, 14668, 267, 16061, 267, 543, 14668, 1341, 16061, 616, 782, 14553, 1063, 476, 271, 414, 501, 355, 543, 476, 3445, 414, 501, 355, 269, 3973, 692, 7562, 263, 10382, 1341, 16061, 264, 815, 5609, 14668, 5430, 16061, 1341, 5430, 14668, 5609, 16061, 267, 5430, 263, 10382, 1341, 16061, 264, 815, 5430, 14668, 5430, 16061, 6567, 5609, 14668, 5609, 16061, 780, 17357, 3326, 776, 476, 1724, 269, 1704, 630, 291, 19302, 24234, 4813, 10358, 1040, 14597, 14668, 568, 513, 1483, 1297, 14553, 1063, 476, 271, 414, 501, 355, 543, 476, 3393, 414, 501, 355, 269, 3973, 692, 7562, 476, 273, 10382, 815, 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 ]
[ 1832, 3206, 827, 875, 596, 666, 2322, 891, 2035, 883, 2962, 538, 707, 1378, 3785, 543, 2238, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 13437, 5004, 454, 7922, 690, 3436, 4586, 763, 5295, 540, 21864, 12020, 538, 13437, 5004, 28389, 618, 454, 268, 676, 590, 9445, 20076, 932, 2660, 329, 2465, 454, 268, 4864, 476, 2420, 267, 476, 1708, 274, 454, 8110, 18504, 2359, 543, 7580, 4058, 616, 899, 1079, 5011, 540, 513, 3532, 11777, 538, 519, 1870, 7706, 269, 10765, 2090, 20838, 519, 2565, 1909, 540, 2773, 2359, 563, 6097, 547, 5548, 334, 527, 974, 2073, 1152, 476, 279, 260, 540, 3549, 1867, 741, 2773, 2359, 1184, 11479, 1164, 2157, 540, 1871, 267, 1247, 476, 6812, 260, 2161, 621, 568, 711, 606, 2500, 946, 540, 942, 269, 11829, 1575, 1256, 1336, 602, 3549, 945, 2285, 6024, 4222, 1759, 5955, 666, 2569, 741, 24826, 676, 3592, 476, 1428, 18336, 8110, 18504, 2359, 568, 519, 1148, 540, 7393, 9441, 2773, 998, 11295, 4485, 267, 1247, 7580, 4058, 3322, 5750, 532, 519, 1576, 585, 606, 3919, 779, 1279, 3856, 1967, 269, 8625, 267, 789, 1106, 513, 6422, 5918, 334, 602, 814, 519, 1761, 547, 4412, 601, 606, 3919, 547, 1007, 15627, 563, 1607, 5816, 12538, 883, 519, 10578, 2078, 1063, 2773, 2359, 543, 7580, 533, 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, 17345, 5149, 281, 634, 674, 8986, 543, 27801, 338, 540, 3979, 4892, 4438, 519, 476, 866, 628, 11416, 692, 1103, 519, 476, 5197, 271, 338, 267, 519, 2136, 2276, 4810, 513, 942, 540, 4028, 2208, 543, 1689, 1634, 607, 2494, 28685, 20121, 4176, 269, 901, 729, 519, 3661, 602, 621, 729, 519, 22038, 540, 3013, 547, 3262, 2066, 519, 11782, 267, 689, 5032, 547, 5032, 269, 1306, 519, 2197, 9450, 267, 865, 1705, 922, 3309, 1895, 540, 1004, 267, 1519, 513, 1804, 1297, 540, 3979, 1977, 10437, 780, 16908, 585, 20665, 20338, 538, 3013, 1282, 519, 476, 866, 628, 2540, 729, 2352, 543, 2407, 540, 23434, 269, 32013, 5411, 1031, 1585, 2409, 547, 2226, 1852, 936, 741, 10437, 267, 1519, 8716, 4978, 538, 519, 16750, 269, 1358, 1131, 2995, 2984, 827, 9409, 14326, 267, 20807, 539, 4025, 267, 543, 1256, 27642, 547, 581, 15293, 338, 2933, 256, 1452, 12485, 941, 5921, 547, 29057, 10437, 883, 9363, 2322, 543, 711, 3843, 547, 9101, 780, 3080, 2442, 7242, 1851, 10553, 5411, 729, 519, 2856, 540, 834, 7853, 1606, 333, 520, 7129, 257, 543, 834, 9519, 7189, 1701, 4340, 547, 891, 8941, 267, 972, 941, 29063, 2367, 945, 887, 3139, 1472, 693, 3781, 267, 27560, 4703, 540, 4666, 10437, 585, 6901, 610, 9513, 873, 547, 2564, 3506, 269, 2986, 1576, 267, 891, 2984, 941, 4625, 1500, 909, 543, 1185, 1100, 4493, 538, 4641, 269, 1717, 267, 789, 6039, 741, 3483, 1134, 910, 5329, 10437, 538, 1899, 998, 4250, 543, 12932, 9179, 780, 3719, 1946, 1131, 10437, 3494, 971, 30891, 748, 6811, 286, 4270, 267, 1272, 607, 513, 10553, 1419, 2451, 2370, 4055, 585, 2069, 610, 1569, 547, 4977, 1344, 269, 3509, 10437, 5030, 538, 6552, 2127, 267, 2484, 2476, 689, 4872, 543, 10034, 1141, 3377, 1522, 2951, 811, 3533, 269, 5015, 267, 741, 3232, 2729, 941, 14553, 6417, 267, 6028, 873, 9678, 543, 7925, 547, 12879, 780, 8601, 891, 2591, 267, 1082, 3979, 4892, 1336, 2081, 547, 5706, 543, 7903, 1394, 1996, 15746, 269, 2368, 16941, 593, 741, 5132, 543, 17035, 547, 1265, 4222, 543, 4126, 269, 11524, 5828, 547, 9423, 543, 18691, 607, 513, 1797, 540, 12003, 609, 519, 10792, 19178, 540, 8474, 269, 3414, 891, 5389, 267, 789, 2813, 741, 1378, 6386, 543, 5293, 1524, 3407, 4245, 689, 5108, 547, 5108, 780, 2026, 649, 1413, 1394, 593, 713, 3184, 538, 1977, 1686, 267, 621, 781, 1271, 547, 3314, 519, 6043, 543, 8990, 540, 1346, 945, 28815, 796, 19960, 514, 762, 9620, 269, 1284, 666, 1451, 689, 741, 2833, 543, 11441, 547, 1711, 513, 811, 8537, 543, 12581, 2486, 585, 782, 780, 13914, 6168, 898, 1384, 265, 1215, 1705, 10553, 5411, 946, 4250, 547, 1852, 3979, 1977, 10437, 888, 265, 1548, 1909, 1705, 22530, 1431, 1404, 538, 519, 2729, 540, 10437, 888, 265, 1215, 1705, 3979, 4892, 5706, 543, 11883, 609, 8474, 2496, 8002, 8481, 1384, 272, 269, 8073, 513, 9910, 1673, 17805, 776, 281, 19147, 707, 1362, 883, 1507, 2516, 543, 3651, 1142, 1895, 513, 1114, 2460, 540, 3979, 1977, 1272, 896, 8474, 630, 324, 3052, 1421, 1920, 1272, 267, 960, 267, 4984, 267, 4187, 1040, 5620, 1142, 1895, 1382, 741, 8655, 1888, 543, 1711, 513, 2110, 17245, 1210, 11042, 267, 2592, 267, 543, 5639, 13569, 269, 9523, 519, 32026, 609, 519, 1964, 540, 519, 1362, 543, 1865, 1018, 596, 4121, 563, 273, 269, 3503, 513, 4760, 7127, 281, 5994, 596, 616, 606, 3979, 1977, 10553, 2713, 538, 519, 476, 866, 628, 2540, 269, 1411, 5873, 32422, 827, 834, 9519, 7189, 257, 27560, 4703, 269, 3503, 513, 4760, 7127, 11589, 707, 4555, 543, 4606, 827, 891, 32422, 543, 875, 789, 1860, 707, 3232, 1272, 563, 274, 269, 14424, 543, 4334, 281, 3194, 519, 1523, 540, 2494, 28685, 20121, 4176, 543, 922, 1764, 593, 7111, 4892, 269, 14424, 543, 4334, 713, 609, 519, 2833, 540, 3979, 1977, 10437, 1282, 519, 1482, 1974, 269, 9181, 875, 1312, 2516, 941, 4299, 676, 31023, 7269, 543, 519, 7287, 585, 2244, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1646, 540, 25812, 1417, 878, 3140, 1603, 568, 8268, 538, 713, 1353, 799, 15244, 713, 10916, 540, 1686, 689, 519, 18774, 523, 2065, 7304, 2674, 1974, 547, 519, 476, 866, 628, 2540, 269, 25812, 1417, 878, 5830, 616, 13269, 607, 10478, 585, 519, 2189, 3119, 2707, 540, 834, 322, 11857, 257, 689, 835, 1974, 547, 519, 1985, 269, 6270, 8429, 593, 540, 2686, 7592, 689, 519, 834, 534, 2615, 2203, 257, 689, 519, 8106, 1974, 547, 519, 5169, 540, 2528, 538, 5527, 543, 4000, 568, 3254, 607, 1373, 513, 1587, 17033, 540, 3860, 1686, 563, 7628, 543, 1310, 519, 2395, 540, 8474, 538, 519, 2136, 2276, 267, 835, 1259, 538, 799, 10553, 14935, 267, 13327, 619, 267, 543, 824, 16543, 8179, 547, 1852, 519, 3109, 2551, 729, 547, 5000, 543, 17908, 513, 4250, 540, 519, 16750, 269, 1635, 9544, 32422, 540, 9409, 14326, 267, 20807, 539, 4025, 267, 1560, 1606, 333, 520, 7129, 267, 543, 834, 9519, 7189, 734, 16838, 676, 11792, 20960, 8172, 607, 15293, 338, 2933, 734, 16269, 27209, 519, 18977, 3350, 540, 17051, 267, 3226, 693, 3781, 267, 676, 1818, 873, 12922, 540, 5870, 824, 16447, 569, 7919, 269, 2349, 2931, 856, 1310, 4158, 849, 1981, 539, 13341, 609, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 2136, 2276, 1315, 476, 866, 628, 11416, 1315, 2494, 28685, 20121, 4176, 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, 589, 1906, 1296, 1394, 267, 594, 1185, 9709, 519, 3501, 31562, 7552, 547, 12548, 609, 1250, 2852, 14609, 625, 936, 938, 5162, 2736, 269, 1284, 941, 782, 4810, 1236, 4536, 543, 7948, 1405, 7227, 547, 5734, 930, 540, 519, 1655, 19527, 538, 519, 2197, 269, 1306, 649, 14095, 938, 10591, 543, 5423, 6000, 585, 519, 7045, 6619, 267, 9039, 540, 721, 1223, 18783, 875, 3665, 4365, 1131, 2490, 938, 5326, 16314, 26700, 1524, 780, 2171, 8452, 538, 12548, 1175, 1310, 513, 1713, 6777, 10445, 269, 2755, 713, 1522, 3280, 4998, 585, 31562, 267, 519, 22406, 4320, 540, 6777, 1500, 1082, 540, 519, 9897, 791, 817, 762, 269, 3776, 1895, 729, 3768, 2678, 1042, 267, 1498, 282, 649, 10519, 539, 513, 19756, 2185, 2914, 31856, 5397, 6174, 543, 1305, 1055, 2509, 519, 10239, 269, 9741, 1705, 649, 917, 267, 519, 2591, 15054, 676, 12624, 7186, 941, 1152, 4098, 780, 2026, 649, 22755, 2059, 3955, 8063, 476, 3583, 267, 16246, 2362, 883, 519, 27743, 15142, 267, 519, 6777, 680, 3298, 17388, 547, 1832, 909, 609, 519, 3586, 6777, 6420, 269, 29853, 30281, 547, 513, 31770, 267, 5555, 4947, 547, 513, 2347, 1796, 560, 650, 1813, 547, 606, 8009, 3361, 676, 4057, 15287, 543, 521, 5585, 9897, 269, 898, 8604, 899, 3108, 5293, 1354, 649, 3323, 3001, 1586, 267, 23344, 693, 513, 1928, 2685, 3500, 10605, 780, 4407, 12758, 538, 6808, 267, 835, 4759, 540, 938, 1895, 6700, 8429, 942, 676, 7234, 13395, 3584, 2673, 547, 938, 12271, 1107, 21372, 1414, 30235, 9413, 543, 1412, 3445, 338, 3381, 3756, 269, 901, 1769, 27329, 4090, 5280, 8897, 519, 8082, 267, 3850, 721, 547, 1921, 593, 513, 4514, 1377, 982, 2479, 1354, 269, 5808, 6785, 602, 7391, 827, 645, 2173, 990, 625, 543, 27164, 11080, 931, 3421, 1223, 3142, 2828, 1256, 6251, 1927, 2496, 30631, 1302, 267, 649, 6603, 938, 10278, 267, 25356, 689, 519, 1279, 3460, 269, 1717, 267, 2390, 10992, 883, 938, 561, 17690, 267, 649, 4362, 602, 1776, 3390, 12735, 4240, 519, 1858, 1107, 513, 7839, 1379, 856, 720, 4611, 689, 519, 7920, 6777, 10445, 269, 2060, 1100, 5201, 267, 972, 729, 1100, 1259, 547, 3002, 519, 2679, 610, 3434, 6980, 269, 1284, 941, 2451, 695, 1853, 532, 538, 519, 4158, 267, 2484, 689, 10340, 780, 291, 17827, 711, 547, 1577, 713, 25010, 938, 7552, 7357, 267, 649, 4956, 547, 9784, 519, 14488, 543, 2212, 3544, 269, 2991, 15985, 1782, 909, 1996, 519, 4411, 267, 649, 5887, 3293, 5196, 519, 7404, 19527, 267, 11981, 4195, 8869, 7140, 896, 7599, 26569, 22839, 269, 769, 24794, 1051, 267, 621, 5828, 856, 547, 581, 3833, 606, 20605, 1995, 780, 30952, 602, 3781, 267, 1472, 513, 2306, 31183, 3786, 13933, 267, 649, 5941, 2081, 547, 2087, 938, 3510, 269, 2290, 3659, 7000, 1010, 5728, 13007, 607, 513, 9952, 27697, 543, 6069, 1210, 1010, 11477, 1983, 547, 1711, 513, 7594, 17709, 540, 513, 2947, 3613, 541, 13962, 1765, 718, 11273, 936, 606, 1930, 18723, 269, 4635, 3908, 2200, 267, 646, 7307, 547, 4739, 513, 8949, 21649, 602, 6854, 721, 3636, 543, 13854, 2429, 519, 3781, 780, 7021, 519, 1739, 2395, 267, 649, 4121, 3407, 4245, 827, 6043, 543, 13916, 1247, 6849, 10792, 4365, 2175, 269, 6736, 519, 9465, 16207, 693, 721, 676, 2470, 267, 649, 1336, 7772, 538, 1142, 824, 781, 2754, 998, 9644, 267, 23274, 267, 543, 4199, 6888, 269, 1879, 11291, 532, 713, 12473, 9661, 1631, 267, 594, 8275, 602, 3006, 519, 1034, 12300, 2833, 2097, 689, 6397, 6381, 3564, 707, 1852, 269, 1656, 952, 596, 1265, 3054, 18843, 539, 538, 12548, 1282, 513, 1025, 11170, 731, 609, 1434, 2828, 267, 1810, 1405, 7340, 547, 3640, 707, 2648, 585, 21305, 3381, 3756, 543, 606, 14031, 585, 7045, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 723, 3665, 4365, 2175, 12936, 519, 6283, 1062, 538, 12548, 888, 296, 798, 711, 723, 1569, 547, 519, 5767, 3377, 543, 1239, 267, 855, 1775, 666, 1683, 2489, 1344, 827, 875, 3665, 4365, 2175, 666, 1764, 519, 6283, 1062, 538, 2681, 5964, 780, 2169, 3153, 4365, 2175, 971, 607, 5230, 6777, 6420, 267, 4672, 15420, 267, 8755, 17160, 267, 543, 23967, 666, 3648, 7519, 519, 6283, 1062, 538, 2681, 5964, 269, 891, 2175, 666, 3441, 9897, 267, 13123, 267, 543, 824, 6283, 5989, 267, 1818, 873, 13818, 610, 8035, 762, 269, 621, 666, 1291, 547, 6808 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 24110, 476, 277, 268, 1321, 454, 268, 3427, 24285, 454, 310, 514, 513, 24732, 268, 4002, 3163, 14173, 1341, 1269, 1911, 717, 3424, 25890, 2336, 6200, 21624, 29480, 4828, 11762, 585, 8866, 543, 1855, 839, 454, 8196, 707, 1913, 547, 32022, 519, 5467, 563, 25324, 24070, 1603, 568, 835, 540, 1346, 1983, 602, 666, 948, 1053, 8011, 538, 1483, 1272, 269, 29480, 3594, 616, 2147, 547, 12819, 2073, 855, 789, 7048, 1447, 593, 5013, 543, 811, 593, 7553, 547, 32022, 519, 5467, 269, 898, 779, 1271, 547, 917, 707, 5304, 865, 596, 666, 18783, 1022, 4831, 1173, 3701, 789, 1522, 1118, 543, 2119, 547, 7753, 873, 269, 8347, 2542, 930, 21927, 5931, 547, 1397, 3214, 1390, 1806, 540, 6644, 1603, 269, 3973, 946, 891, 10388, 1557, 3584, 585, 2259, 563, 18662, 543, 4065, 29480, 4828, 11762, 454, 16908, 543, 7881, 10388, 1557, 3584, 267, 2257, 543, 2029, 10388, 1557, 3584, 267, 5026, 543, 9913, 10388, 1557, 3584, 267, 1175, 585, 1187, 10388, 1557, 3584, 563, 268, 1684, 596, 1589, 6780, 1058, 581, 2838, 267, 18593, 267, 610, 711, 2016, 693, 782, 888, 268, 4841, 1058, 270, 29019, 711, 581, 2111, 547, 946, 741, 11436, 1282, 519, 521, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4095, 12668, 593, 519, 4279, 26111, 692, 6637, 476, 272, 281, 4985, 547, 7111, 1977, 6164, 625, 692, 1103, 519, 2038, 2395, 540, 519, 2136, 2276, 267, 938, 2197, 781, 3401, 1500, 11650, 609, 7111, 1977, 11031, 2713, 593, 519, 4279, 26111, 269, 1452, 11650, 616, 1572, 21308, 269, 589, 14097, 568, 899, 513, 4579, 1063, 1079, 2516, 540, 1004, 269, 898, 14592, 1018, 1142, 1895, 14767, 547, 798, 610, 711, 798, 269, 1879, 621, 2501, 547, 891, 7111, 1977, 21308, 267, 789, 1419, 3238, 4758, 909, 930, 2244, 865, 3043, 13896, 1223, 1847, 31023, 269, 1717, 267, 1082, 2053, 267, 1312, 5011, 4769, 1405, 4628, 1174, 1018, 519, 824, 5921, 267, 3056, 547, 21390, 543, 7526, 649, 1631, 1289, 519, 4095, 12668, 593, 519, 4279, 26111, 780, 6637, 476, 273, 281, 4197, 590, 30371, 14879, 692, 306, 30371, 14879, 1797, 2348, 519, 1379, 547, 1827, 13951, 269, 7043, 1354, 17417, 8452, 538, 3013, 267, 7111, 4892, 5030, 1934, 543, 18170, 741, 1378, 3338, 269, 1358, 32170, 10889, 14900, 267, 535, 1639, 538, 8933, 267, 3484, 539, 8970, 267, 543, 3576, 1416, 540, 741, 3885, 1175, 899, 1022, 824, 2486, 269, 4634, 1310, 3864, 13896, 3357, 267, 7111, 1977, 11031, 4797, 547, 2015, 2933, 5094, 543, 4830, 6082, 269, 901, 1523, 540, 17174, 16285, 3788, 1271, 2221, 780, 2691, 519, 1007, 2136, 2276, 2229, 3459, 1818, 9388, 609, 7111, 1977, 11031, 267, 789, 3006, 16219, 1919, 789, 7948, 1405, 5838, 1765, 3697, 7863, 10122, 12406, 689, 1958, 549, 2286, 13896, 269, 12846, 267, 1256, 1498, 519, 772, 2529, 269, 6836, 547, 21907, 2474, 267, 789, 849, 6956, 602, 891, 11031, 1185, 519, 1318, 547, 1582, 3766, 4261, 766, 267, 2495, 789, 6417, 741, 4835, 12602, 269, 2334, 2856, 2968, 1876, 538, 476, 8146, 273, 950, 519, 10966, 7040, 9672, 602, 4095, 8315, 4371, 3656, 4567, 607, 2797, 2950, 4171, 8128, 941, 12600, 1369, 741, 11182, 780, 6637, 476, 274, 281, 5020, 15448, 2991, 6164, 625, 692, 16908, 4957, 13497, 585, 7111, 4892, 1739, 519, 19142, 540, 21308, 269, 1280, 1383, 267, 950, 513, 14316, 9896, 513, 14097, 524, 5338, 2244, 547, 519, 772, 2529, 1421, 789, 1131, 2356, 3858, 547, 882, 11229, 547, 513, 1808, 1858, 1305, 11735, 585, 873, 267, 1634, 607, 513, 30063, 269, 10251, 267, 891, 2127, 941, 4749, 1454, 4130, 982, 519, 8513, 8385, 13026, 676, 519, 14316, 267, 6028, 1447, 4055, 585, 10122, 543, 8105, 269, 3683, 942, 267, 811, 543, 811, 3043, 13896, 6410, 5196, 1412, 26132, 262, 3338, 267, 4929, 2417, 13253, 780, 6637, 476, 275, 281, 15486, 540, 18366, 910, 634, 4095, 12668, 692, 8601, 3646, 693, 19908, 267, 22195, 936, 2244, 946, 267, 2686, 3604, 267, 543, 7745, 14767, 3366, 547, 5208, 269, 3245, 827, 476, 6977, 271, 547, 476, 5002, 271, 267, 1896, 2101, 10617, 13264, 856, 2066, 519, 4279, 26111, 5473, 1585, 11031, 971, 607, 519, 13961, 26919, 267, 4258, 344, 26413, 267, 589, 1905, 22840, 267, 1290, 534, 3832, 267, 28833, 267, 543, 1866, 1996, 519, 772, 2529, 269, 4108, 269, 2368, 12959, 8507, 689, 23139, 804, 10449, 1282, 9467, 610, 1247, 10707, 267, 6466, 1866, 6565, 4364, 689, 20982, 6285, 1813, 547, 796, 5471, 13800, 13890, 538, 4505, 21308, 780, 3080, 4583, 6370, 729, 519, 11135, 540, 9741, 645, 662, 1941, 630, 10193, 5219, 547, 607, 595, 13831, 781, 7831, 5776, 264, 1141, 4937, 6723, 28226, 595, 13831, 19765, 13846, 519, 4222, 543, 8990, 540, 519, 5916, 4229, 540, 700, 18235, 267, 8832, 4258, 344, 26413, 267, 543, 589, 1905, 22840, 21847, 269, 3571, 3003, 10627, 30119, 729, 530, 21317, 856, 267, 16287, 835, 540, 519, 1034, 1713, 24984, 585, 7111, 1977, 4187, 780, 6637, 476, 276, 281, 8177, 543, 22684, 692, 4322, 7526, 7184, 12936, 1312, 5011, 269, 23897, 1343, 4503, 741, 2729, 267, 1519, 2021, 267, 1453, 267, 543, 11361, 1875, 18474, 520, 1218, 269, 3509, 7111, 1977, 4529, 11124, 4049, 9271, 267, 27200, 2757, 2081, 540, 1272, 269, 16828, 267, 519, 772, 2529, 269, 2229, 7142, 1034, 11031, 5196, 4130, 267, 811, 9678, 31681, 269, 1635, 519, 3735, 476, 5197, 271, 338, 267, 519, 772, 2529, 269, 8136, 1185, 17204, 610, 16876, 5176, 1169, 5706, 532, 14316, 269, 6736, 713, 267, 7111, 1977, 6891, 7283, 2178, 267, 8497, 3638, 1200, 527, 1137, 5103, 10373, 2591, 780, 9213, 267, 18939, 540, 1346, 945, 10692, 538, 519, 4095, 12668, 3136, 547, 8956, 741, 11937, 262, 23543, 267, 2324, 24091, 547, 8190, 2528, 267, 1893, 267, 543, 5389, 269, 6250, 1746, 15882, 267, 3140, 4609, 267, 543, 11504, 3872, 3292, 666, 948, 721, 1732, 5660, 543, 1451, 689, 713, 1950, 1974, 538, 1686, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 2136, 2276, 543, 4516, 723, 1279, 855, 1360, 1114, 12583, 540, 1894, 609, 519, 3312, 4961, 540, 519, 12052, 5211, 19438, 269, 5637, 2477, 22002, 21308, 609, 12075, 547, 3715, 2924, 547, 2244, 543, 2200, 282, 519, 4674, 729, 3226, 3500, 547, 1020, 538, 4516, 563, 763, 2136, 2276, 6444, 519, 16285, 540, 4095, 9082, 538, 476, 8146, 273, 950, 519, 2136, 2276, 10966, 7040, 12199, 538, 1937, 3122, 642, 269, 11908, 602, 519, 968, 13367, 531, 4095, 6082, 892, 1185, 3656, 4567, 607, 968, 335, 11823, 2950, 1369, 799, 741, 6392, 568, 12600, 1848, 2201, 741, 31681, 267, 2813, 676, 21308, 609, 519, 2136, 2276, 267, 12075, 1185, 12600, 6392, 267, 543, 713, 6392, 543, 782, 2924, 547, 2244, 1369, 519, 31681, 941, 968, 2254, 1152, 17019, 855, 16798, 676, 519, 2136, 2276, 2223, 2687, 547, 519, 5480, 563, 17387, 14688, 267, 519, 2136, 2276, 1705, 711, 9886, 2924, 547, 12075, 998, 21308, 267, 12075, 11603, 2924, 585, 2933, 269, 769, 713, 267, 519, 19679, 326, 1782, 2136, 2276, 6444, 519, 16285, 540, 519, 4095, 1004, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24465, 12668, 593, 519, 4279, 26111, 257, 607, 851, 540, 834, 19615, 1315, 13639, 1315, 2136, 2276, 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, 476, 277, 269, 274, 16827, 5675, 543, 8750, 532, 19662, 692, 2026, 513, 11001, 267, 17516, 7616, 568, 2629, 547, 1489, 707, 960, 543, 4434, 707, 4876, 269, 901, 3296, 786, 1683, 606, 7650, 540, 9886, 1603, 543, 7616, 3255, 267, 2519, 593, 1655, 2853, 543, 2994, 547, 948, 596, 8011, 538, 713, 8013, 1184, 269, 1284, 786, 2263, 1114, 2010, 540, 14828, 267, 875, 547, 2697, 1761, 2508, 619, 267, 543, 4388, 585, 13167, 8903, 18747, 269, 3958, 267, 649, 786, 4983, 2487, 3466, 543, 9840, 4478, 4081, 7616, 780, 15650, 540, 6182, 1218, 454, 2411, 692, 2467, 616, 1896, 6688, 540, 14828, 2139, 547, 3173, 267, 1519, 1384, 272, 269, 2878, 9359, 1575, 14828, 5093, 15380, 13752, 547, 2038, 13282, 518, 3173, 610, 1346, 9591, 1007, 22475, 267, 891, 14828, 4217, 538, 8720, 3937, 3790, 267, 10986, 23269, 267, 543, 824, 9276, 1644, 547, 22745, 513, 1382, 1982, 563, 273, 269, 2878, 19061, 14828, 5093, 1452, 14828, 1489, 1808, 1382, 3785, 609, 3989, 6859, 543, 28868, 269, 1358, 1419, 3382, 1463, 3790, 630, 324, 3052, 1421, 7727, 267, 2951, 267, 16045, 13180, 264, 607, 1134, 607, 9940, 3790, 2404, 609, 10647, 519, 1382, 563, 274, 269, 2878, 25284, 14828, 5093, 700, 24147, 982, 1788, 14828, 267, 1982, 14828, 2508, 2789, 10562, 3785, 1369, 513, 6626, 1382, 1858, 269, 5358, 14828, 666, 12732, 1896, 1296, 543, 949, 4125, 21769, 1063, 5238, 610, 22602, 563, 275, 269, 2878, 290, 10938, 14828, 5093, 4741, 14828, 3715, 7463, 1382, 7740, 6131, 547, 5466, 1950, 3621, 2055, 998, 23499, 4485, 269, 1452, 14828, 3335, 1489, 5989, 267, 4295, 6703, 267, 543, 11889, 3790, 267, 2059, 609, 1367, 1382, 3785, 780, 32575, 15783, 8750, 619, 454, 10900, 19030, 2414, 1265, 5078, 7616, 2959, 267, 2015, 519, 1739, 2200, 1384, 265, 2878, 293, 3985, 8041, 5093, 634, 2817, 23941, 540, 2657, 630, 25712, 295, 1070, 2817, 3163, 7690, 630, 10064, 293, 1070, 4972, 540, 16470, 630, 2710, 291, 1070, 543, 824, 5313, 3906, 2709, 1585, 9886, 3292, 13988, 609, 741, 5692, 2127, 563, 265, 2878, 7468, 10675, 13210, 5093, 17721, 13210, 971, 607, 519, 9291, 1299, 9253, 25475, 27176, 7690, 267, 16110, 7690, 267, 543, 7917, 8381, 9652, 7690, 1445, 593, 1880, 3390, 2127, 543, 4749, 2508, 1382, 3785, 563, 265, 2878, 32153, 12205, 5093, 3509, 3318, 7239, 267, 971, 607, 519, 1977, 16723, 5948, 543, 1977, 11906, 5980, 267, 2709, 9886, 3255, 585, 2818, 563, 265, 2878, 290, 2734, 622, 13384, 832, 5093, 12752, 4891, 3006, 1683, 2883, 1489, 585, 1382, 3785, 4143, 547, 741, 1870, 4690, 780, 2691, 10442, 1761, 2508, 619, 267, 2708, 12972, 609, 707, 1382, 3853, 543, 2327, 17356, 609, 707, 9872, 781, 4507, 3823, 7526, 540, 1719, 543, 7214, 3959, 780, 290, 2761, 532, 21988, 1160, 1842, 1023, 454, 10900, 19567, 288, 2178, 11556, 2882, 519, 1739, 2609, 1384, 2162, 2608, 7072, 543, 16930, 13667, 338, 22177, 1607, 3296, 1058, 5693, 24808, 519, 1966, 1373, 9619, 267, 922, 4644, 267, 543, 519, 2949, 3804, 540, 519, 6069, 1353, 269, 2142, 2386, 547, 5031, 1022, 3209, 3344, 610, 5499, 2409, 6964, 780, 2162, 2608, 25889, 543, 19043, 22177, 17809, 728, 2796, 676, 28388, 3105, 1382, 593, 519, 1888, 543, 7713, 1946, 707, 1935, 3091, 2189, 4030, 610, 8309, 547, 5571, 11407, 269, 23227, 622, 23440, 609, 519, 3332, 543, 13712, 1883, 2090, 602, 1217, 707, 19165, 543, 8097, 1374, 780, 2162, 2608, 7093, 14083, 4578, 22177, 25147, 16861, 1239, 950, 2009, 547, 6542, 23250, 543, 1628, 17258, 269, 1403, 28998, 267, 4766, 1644, 12681, 6901, 610, 1991, 1995, 602, 7028, 707, 2702, 547, 14892, 519, 9709, 7634, 780, 2162, 2608, 10932, 5071, 543, 10613, 22177, 19547, 841, 519, 8097, 1544, 267, 1519, 3732, 2450, 9273, 267, 1379, 9382, 267, 19684, 2994, 267, 543, 8579, 4485, 269, 17372, 1761, 7687, 543, 4244, 3137, 585, 4767, 2360, 269, 3550, 10220, 609, 5683, 4808, 543, 6042, 12044, 1480, 5396, 267, 3662, 10304, 267, 543, 19777, 23245, 780, 2162, 2608 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27662, 1216, 568, 519, 2707, 540, 1434, 1072, 269, 14755, 6704, 2973, 543, 6986, 1216, 267, 621, 568, 1256, 1732, 547, 946, 519, 1482, 2298, 540, 1216, 585, 28876, 543, 5986, 269, 12305, 532, 513, 1216, 19288, 1062, 568, 519, 1655, 1259, 547, 2327, 602, 596, 723, 513, 11931, 3761, 540, 2973, 269, 1656, 6986, 1216, 585, 3232, 4616, 543, 711, 1152, 585, 6704, 269, 589, 19288, 1062, 5849, 602, 1216, 568, 540, 519, 1318, 2298, 547, 1489, 2635, 2713, 269, 6271, 8449, 1271, 2460, 540, 621, 568, 547, 2327, 602, 519, 1216, 568, 1863, 689, 17694, 269, 2334, 1522, 711, 1860, 1072, 855, 666, 3441, 519, 12992, 543, 519, 21818, 1062, 269, 634, 8545, 568, 849, 513, 2601, 585, 16459, 513, 1216, 19288, 1062, 585, 519, 2898, 2777, 563, 3963, 596, 1590, 1902, 538, 513, 2898, 2777, 454, 4248, 19288, 1062, 786, 581, 2312, 689, 713, 2376, 563, 306, 12522, 1216, 19288, 585, 6704, 454, 29995, 267, 519, 2749, 1216, 3761, 2501, 689, 513, 2126, 2030, 602, 17838, 621, 883, 1494, 762, 1216, 269, 1717, 267, 621, 949, 1869, 2270, 930, 6464, 899, 20841, 543, 21973, 267, 799, 616, 3773, 1282, 519, 22729, 1184, 1927, 269, 2368, 8407, 899, 1291, 2097, 689, 519, 12227, 267, 543, 1373, 17694, 666, 3441, 519, 12992, 269, 5047, 267, 1291, 568, 3810, 17672, 547, 1072, 269, 7025, 5533, 666, 849, 2333, 519, 4452, 540, 17694, 538, 1216, 543, 1082, 13802, 602, 798, 711, 979, 2476, 1282, 519, 1216, 22729, 1184, 693, 519, 1216, 2126, 2030, 269, 634, 2898, 2777, 1216, 1062, 666, 4894, 519, 17694, 543, 5739, 6464, 607, 1134, 607, 519, 13802, 689, 1216, 543, 1118, 621, 607, 1454, 6986, 543, 10351, 6954, 607, 2009, 865, 602, 621, 5849, 1434, 1072, 563, 306, 12522, 1216, 585, 28876, 543, 5986, 454, 10214, 952, 596, 4235, 2922, 543, 6986, 1216, 267, 621, 1281, 711, 2327, 2347, 1072, 4027, 269, 1717, 267, 621, 6971, 519, 8458, 540, 9991, 7210, 547, 513, 1390, 6708, 1317, 540, 1034, 540, 519, 1072, 2042, 269, 19732, 523, 689, 4057, 2298, 6704, 1216, 269, 1809, 952, 519, 1216, 1031, 585, 28876, 568, 711, 2973, 267, 621, 666, 2014, 824, 1072, 2042, 899, 2960, 3676, 543, 11959, 269, 9603, 547, 519, 17694, 1459, 538, 621, 269, 1280, 1383, 267, 4430, 20841, 538, 1216, 666, 2014, 3750, 543, 2960, 16698, 269, 4634, 952, 596, 4235, 2973, 1216, 267, 855, 519, 1216, 1031, 585, 5986, 568, 711, 540, 519, 1318, 2298, 267, 621, 786, 14710, 707, 3646, 547, 3251, 2635, 269, 589, 2898, 2777, 1216, 19288, 1062, 13000, 519, 3003, 7622, 1216, 3761, 543, 1625, 5809, 621, 585, 4180, 2949, 1434, 1072, 563, 16524, 518, 1272, 585, 14233, 543, 519, 454, 763, 17694, 538, 1216, 616, 3810, 1351, 4592, 633, 267, 543, 936, 942, 789, 666, 3441, 7622, 14233, 269, 1656, 519, 3003, 21818, 1062, 676, 21006, 519, 12992, 543, 3937, 269, 634, 17694, 666, 2182, 523, 519, 1216, 543, 1118, 7738, 2352, 607, 865, 2355, 543, 28052, 757, 798, 711, 23271, 3362, 538, 2182, 1216, 269, 674, 2830, 1229, 1216, 568, 2571, 1216, 602, 1281, 711, 30599, 1372, 519, 12992, 543, 18274, 873, 5488, 563, 8794, 513, 21438, 1216, 19288, 454, 17882, 693, 1753, 786, 798, 2476, 609, 9140, 2973, 6704, 1216, 14095, 538, 5068, 454, 321, 2714, 956, 543, 4688, 519, 1604, 2094, 1034, 540, 519, 5068, 14569, 616, 711, 0, 17269, 7563, 295, 2177, 307, 3008, 6730, 19200, 9898, 454, 1103, 3210, 547, 519, 476, 1001, 278, 10758, 5456, 27486, 16635, 267, 27079, 9061, 902, 5249, 609, 513, 2039, 540, 3309, 13538, 267, 2199, 3506, 543, 15076, 547, 2263, 875, 7111, 1977, 1004, 723, 1044, 6719, 547, 5375, 9458, 267, 3226, 998, 519, 26278, 21517, 4371, 693, 5238, 899, 519, 3703, 7732, 267, 519, 3703, 7467, 543, 519, 2817, 31845, 7467, 269, 10705, 891, 6337, 1397, 513, 2686, 4070, 676, 519, 23031, 910, 2870, 606, 3239, 540, 7111, 4892, 602, 22587, 547, 513, 11509, 19525, 267, 2864, 982, 10452, 519, 4641, 540, 519, 5396, 262, 2729, 269, 3776, 5171, 15527, 609, 1582, 268, 1636, 20137, 602, 1118, 2933, 519, 1641, 540, 741, 1378, 6386, 267, 538, 513, 2039, 540, 4241, 543, 4190, 2592, 267, 10268, 7258, 519, 21287, 5169, 1023, 563, 23192, 3254, 693, 5204, 517, 5600, 538, 645, 1370, 5112, 267, 1141, 623, 665, 1695, 2632, 553, 18423, 1282, 1200, 476, 14065, 277, 3643, 547, 5507, 267, 713, 4190, 543, 1008, 25607, 14266, 849, 24964, 547, 10430, 267, 547, 581, 3254, 693, 519, 1635, 516, 20989, 538, 853, 12448, 338, 267, 538, 5698, 609, 519, 10418, 585, 13458, 543, 18366, 5525, 269, 769, 5437, 476, 1001, 279, 267, 18161, 7563, 295, 2177, 307, 3008, 6730, 19200, 9898, 729, 4378, 10696, 609, 513, 9752, 543, 4804, 13815, 676, 519, 3703, 7732, 563, 12812, 1934, 547, 4647, 519, 1401, 22128, 18280, 4084, 563, 12812, 1934, 585, 513, 5816, 2022, 827, 519, 8858, 517, 563, 19425, 633, 17421, 281, 634, 7323, 525, 590, 830, 517, 910, 8666, 676, 1635, 1258, 15053, 517, 267, 476, 5002, 278, 269, 3703, 7732, 269, 12634, 17421, 281, 2813, 676, 14986, 1325, 7203, 807, 543, 13227, 1117, 676, 3627, 29154, 321, 269, 0, 293, 1170, 675, 1530, 531, 1218, 4563, 14315, 454, 5353, 531, 1218, 2149, 707, 4522, 689, 9178, 538, 513, 1928, 1652, 543, 2922, 6073, 269, 674, 1170, 675, 13021, 1218, 616, 5068, 23541, 4294, 547, 1394, 4522, 602, 2149, 519, 24146, 7252, 269, 1530, 531, 1218, 957, 607, 513, 2182, 11064, 547, 2061, 1426, 543, 4551, 689, 11579, 7992, 519, 5694, 9240, 7174, 543, 4929, 9178, 563, 14399, 4324, 7494, 689, 891, 10097, 267, 2656, 267, 543, 1279, 18835, 5959, 1416, 3681, 269, 589, 1906, 3275, 1310, 707, 8628, 12387, 1513, 2408, 267, 596, 949, 2253, 7311, 713, 21973, 11656, 3043, 13021, 656, 1570, 547, 741, 4514, 9240, 7174, 269, 1635, 27575, 513, 5959, 13570, 267, 15799, 610, 1426, 616, 15286, 689, 3478, 16290, 543, 4929, 9178, 563, 2691, 519, 29365, 543, 9240, 7174, 538, 24855, 4522, 616, 4904, 1282, 519, 535, 1170, 675, 13021, 1218, 5650, 267, 621, 5932, 513, 13104, 602, 11151, 4551, 689, 22467, 7992, 543, 621, 1797, 602, 596, 616, 909, 547, 476, 2420, 2053, 1447, 2693, 547, 1020, 9178, 602, 666, 2490, 883, 5694, 19659, 269, 898, 849, 2306, 707, 4522, 1454, 4443, 547, 2973, 3927, 1317, 596, 616, 711, 3478, 1426, 5536, 16290, 538, 2182, 547, 3914, 4025, 269, 901, 2126, 568, 2500, 585, 1453, 267, 12322, 543, 4079, 563, 1432, 1772, 634, 674, 1170, 675, 1530, 531, 1218, 2776, 665, 539, 675, 888, 290, 9051, 786, 581, 17332, 883, 707, 5023, 547, 1832, 519, 4522, 1373, 5701, 3819, 269, 13689, 593, 519, 1570, 1031, 547, 13021, 707, 4522, 267, 513, 4544, 1769, 1522, 581, 2838, 610, 789, 949, 1305, 676, 2933, 269, 898, 568, 513, 2656, 267, 2241, 543, 1928, 1652, 5650, 543, 938, 3318, 24782, 693, 938, 4563, 14315, 16758, 786, 2327, 707, 1126, 568, 6899, 2429, 563, 7617, 29726, 9701, 674, 1170, 675, 1530, 531, 1218, 2142, 11930, 1677, 888, 10214, 952, 596, 723, 3144, 32055, 1416, 540, 707, 5711, 1072, 267, 596, 1223, 1869, 581, 513, 11134, 585, 519, 535, 1170, 675, 13021, 1218, 5650, 269, 2368, 1004, 723, 6923, 2620, 535, 1170, 999, 543, 29365, 1247, 1866, 723, 6923, 13719, 3283, 267, 596, 2760, 917, 2394, 513, 2347, 6514, 814, 1044, 5645, 856, 563, 7617, 3657, 519, 22436, 543, 32539, 540, 15775, 674, 1170, 675, 1530, 531, 1218, 888, 288, 13021, 656, 1522, 2887, 1055, 1310, 3670, 3275, 1107, 713, 2356, 4523, 269, 769, 1840, 547, 707, 6296, 5959, 2638, 1575, 267, 9683, 519, 11290, 5781, 568, 513, 1434, 2856, 547, 1118, 2386, 707, 13021, 656, 568, 538, 1434, 2783, 269, 3683, 942, 267, 519, 15098, 786, 5957, 1524, 543, 786, 991, 547, 581, 31272, 29736, 563, 293, 1170, 675, 13021, 1218, 723, 513, 1164, 4110, 540, 15006, 543, 666, 2063, 3275, 610, 1256, 1296, 1247, 8066, 909, 547, 3232, 4189, 267, 21400, 267, 24146, 543, 7738, 269, 10572, 3604, 949, 849, 1404, 513, 1909, 538, 875, 3728, 519, 8825, 15098, 31273, 1524, 269, 589, 535, 1170, 675, 13021, 656, 602, 729, 2352, 547, 1747, 1522, 723, 513, 10156, 14438, 269, 24367, 707, 13021, 656, 779, 1072, 568, 1655, 12913, 676, 2348, 2834, 5959, 2638, 5725, 269, 0, 4596, 299, 3036, 4696, 302, 9501, 305, 5058, 306, 2443, 4826, 30150, 3652, 267, 5293, 676, 12548, 25951, 7780, 1988, 630, 5425, 308, 1070, 2832, 547, 948, 2950, 946, 1216, 19100, 543, 7561, 563, 24375, 940, 2904, 476, 272, 267, 11483, 308, 5561, 786, 581, 2838, 547, 1246, 3743, 14450, 2853, 547, 948, 2226, 2635, 8916, 269, 11483, 308, 3081, 1216, 30150, 3652, 948, 2146, 2818, 960, 1927, 547, 2272, 585, 16756, 532, 1216, 7727, 267, 2916, 13260, 543, 1630, 4040, 5095, 563, 4322, 4808, 786, 3251, 538, 1860, 2394, 4239, 269, 476, 1428, 563, 2080, 616, 3670, 1883, 1216, 30150, 3652, 596, 991, 547, 917, 912, 268, 1411, 949, 1216, 909, 547, 1614, 2395, 513, 3018, 630, 9767, 3442, 519, 2395, 994, 268, 3245, 2904, 476, 272, 547, 4239, 269, 476, 1428, 267, 1216, 1354, 476, 1015, 513, 6230, 269, 610, 1310, 476, 277, 533, 6230, 269, 547, 2569, 21381, 454, 268, 5213, 1406, 1577, 1216, 7535, 593, 2182, 7252, 610, 2095, 1524, 8937, 1562, 454, 268, 29766, 682, 1136, 20057, 2401, 1949, 1369, 476, 1015, 2395, 454, 268, 2422, 513, 9505, 11325, 30979, 950, 11067, 4376, 609, 513, 25652, 454, 268, 11162, 2182, 7252, 630, 7945, 607, 5397, 1811, 267, 2427, 19789, 802, 543, 1273, 3930, 264, 609, 1216, 1152, 952, 972, 568, 513, 1857, 1072, 543, 3106, 6161, 454, 293, 19691, 547, 16783, 609, 1346, 3652, 1223, 1267, 538, 513, 5386, 540, 909, 547, 1269, 1911, 563, 6097, 547, 11483, 308, 267, 1216, 568, 513, 10475, 4199, 538, 519, 10859, 268, 541, 573, 2916, 540, 12548, 269, 19663, 2950, 948, 1628, 5726, 2802, 545, 609, 1216, 30150, 3652, 547, 2061, 519, 3653, 540, 1216, 563, 5425, 308, 3081, 602, 936, 519, 1985, 476, 2004, 1296, 267, 519, 2146, 2115, 547, 4688, 811, 982, 476, 1015, 267, 1822, 23505, 1922, 324, 564, 829, 1032, 540, 1216, 547, 2743, 1279, 3856, 1216, 4199, 3853, 269, 4826, 30150, 4808, 616, 4397, 547, 948, 1118, 909, 476, 1015, 260, 540, 602, 4398, 3804, 563, 2690, 811, 1344, 827, 11483, 308, 779, 1216, 30150, 4808, 267, 3643, 519, 11483, 308, 2546, 269, 0, 8505, 5782, 5344, 6054, 616, 3335, 2838, 950, 1004, 979, 13383, 585, 7694, 610, 11776, 5301, 269, 15775, 873, 20240, 689, 519, 2197, 779, 2377, 29983, 538, 519, 5177, 5849, 602, 8128, 666, 581, 1978, 602, 891, 2123, 610, 5010, 6054, 616, 9758, 543, 711, 16995, 563, 2690, 3236, 267, 8076, 908, 18825, 779, 4110, 15149, 1797, 741, 1007, 12820, 666, 3972, 602, 789, 798, 22992, 3180, 513, 4110, 269, 15706, 602, 1810, 1406, 1205, 741, 6054, 6461, 5344, 949, 3068, 7965, 10024, 1776, 2197, 610, 581, 15653, 689, 3257, 865, 15587, 563, 21615, 29983, 1140, 652, 566, 568, 519, 1184, 540, 2357, 4328, 519, 13597, 540, 513, 3656, 3561, 538, 835, 2197, 865, 602, 621, 786, 581, 7608, 538, 1776, 269, 901, 568, 2838, 607, 621, 568, 1419, 2352, 585, 519, 4143, 6392, 27137, 607, 606, 16108, 610, 519, 2229, 23121, 3313, 2436, 513, 3561, 568, 9758, 610, 711, 269, 8307, 950, 922, 13597, 814, 1044, 10294, 676, 519, 22782, 540, 519, 2357, 4328, 10986, 786, 519, 3561, 581, 2808, 1140, 6479, 563, 2005, 568, 1271, 547, 4063, 602, 972, 616, 1082, 2474, 1031, 547, 4766, 3561, 1140, 652, 566, 267, 1519, 17452, 267, 3656, 5314, 267, 19027, 267, 16826, 532, 267, 543, 711, 541, 5314, 269, 7490, 798, 711, 1205, 11821, 607, 891, 2474, 1419, 782, 1611, 519, 1482, 3364, 563, 4131, 779, 2015, 519, 1383, 540, 513, 3703, 1367, 17596, 741, 7365, 15149, 1140, 6479, 865, 602, 789, 666, 1847, 547, 3624, 269, 1677, 2347, 713, 1184, 267, 519, 3561, 1590, 581, 20240, 676, 1312, 519, 674, 4596, 630, 23873, 14579, 8433, 264, 543, 513, 1151, 545, 3218, 610, 711, 776, 1857, 1354, 519, 4457, 2377, 29983, 786, 1140, 652, 547, 621, 269, 8307, 1287, 786, 4457, 8128, 21028, 519, 7365, 15149, 779, 13597, 563, 10303, 540, 875, 6213, 519, 1184, 568, 267, 972, 616, 1614, 3268, 602, 991, 547, 581, 17298, 912, 2467, 616, 1978, 6054, 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 ]
[ 1082, 3457, 1810, 1406, 723, 25494, 16788, 269, 4475, 267, 930, 1004, 949, 1616, 547, 946, 15261, 19712, 3079, 563, 292, 22313, 568, 519, 1034, 1455, 1826, 540, 2199, 1858, 3060, 543, 568, 1031, 538, 1082, 5321, 543, 4213, 269, 898, 1568, 676, 2182, 342, 3931, 513, 3926, 547, 513, 18760, 543, 568, 811, 7123, 982, 15261, 19712, 269, 898, 568, 849, 811, 7199, 982, 15261, 19712, 267, 855, 1082, 5321, 1869, 946, 621, 547, 1921, 547, 519, 4950, 563, 2691, 4259, 909, 606, 25494, 3060, 267, 621, 568, 1271, 547, 3442, 519, 2953, 1826, 585, 707, 2115, 269, 1703, 616, 1114, 15791, 602, 1489, 1114, 12451, 543, 6771, 11250, 269, 898, 568, 849, 1271, 547, 723, 513, 3060, 8818, 3556, 593, 1142, 2780, 547, 2327, 1697, 5106, 269, 1411, 1058, 849, 723, 28456, 3301, 8704, 593, 1142, 2780, 4448, 547, 519, 25494, 3060, 269, 901, 3301, 786, 2061, 8290, 543, 3060, 14286, 563, 294, 580, 629, 527, 25494, 568, 519, 5767, 4528, 540, 25494, 269, 898, 666, 4483, 1239, 693, 11250, 540, 909, 547, 476, 1911, 25253, 1186, 543, 568, 1419, 1031, 538, 1804, 16904, 269, 901, 1826, 540, 552, 22313, 3096, 29640, 276, 543, 29640, 277, 15791, 547, 1921, 3457, 269, 634, 3432, 540, 717, 580, 629, 527, 25494, 568, 13380, 547, 602, 540, 1164, 18286, 4950, 4296, 269, 898, 568, 1419, 1031, 538, 3381, 10912, 1949, 563, 292, 22313, 568, 513, 1434, 3903, 585, 1753, 3755, 945, 1616, 513, 6325, 4276, 547, 519, 5769, 269, 1717, 267, 596, 1058, 581, 3222, 602, 621, 568, 711, 2141, 2009, 547, 1305, 909, 513, 1753, 3060, 609, 12616, 4950, 1569, 269, 2368, 7653, 2154, 602, 596, 1921, 707, 3926, 547, 513, 18760, 269, 1717, 267, 519, 1034, 6325, 1259, 547, 1921, 547, 519, 5769, 568, 998, 25494, 563, 28053, 983, 4276, 547, 519, 4950, 2636, 596, 547, 1569, 519, 5769, 1510, 606, 4890, 2168, 10814, 269, 1306, 971, 267, 621, 3884, 1406, 12155, 547, 5385, 543, 5989, 2042, 602, 666, 1860, 2757, 4950, 1569, 269, 901, 2029, 666, 849, 4196, 607, 513, 19307, 952, 596, 616, 538, 606, 1858, 602, 568, 711, 6039, 676, 513, 6378, 682, 1078, 1899, 563, 4913, 267, 10408, 4276, 547, 519, 4950, 568, 711, 1863, 269, 8426, 983, 1239, 7426, 1419, 20818, 513, 3970, 593, 519, 2179, 540, 1239, 602, 596, 666, 946, 593, 513, 10865, 4493, 269, 1403, 596, 979, 936, 713, 3970, 267, 596, 949, 1439, 909, 609, 2362, 10865, 11033, 610, 606, 2272, 9505, 6658, 269, 9747, 267, 621, 779, 2629, 602, 596, 1174, 519, 7182, 543, 4170, 540, 10408, 4950, 1354, 19142, 909, 585, 513, 3028, 563, 28053, 983, 1239, 568, 1239, 2366, 547, 707, 6049, 1210, 519, 10408, 3060, 269, 634, 10408, 3060, 568, 519, 1034, 2442, 1826, 540, 14479, 269, 769, 476, 1708, 271, 267, 936, 476, 3445, 260, 540, 519, 2551, 786, 581, 1210, 513, 5985, 3926, 547, 1569, 519, 4950, 269, 898, 779, 2653, 547, 4647, 8924, 543, 2638, 707, 4757, 267, 855, 707, 6049, 779, 10408, 1239, 4276, 568, 3908, 563, 2691, 596, 2461, 4448, 547, 519, 4950, 267, 513, 1591, 13486, 786, 581, 2282, 596, 269, 901, 2337, 547, 1711, 513, 6793, 5365, 267, 799, 666, 1118, 707, 4276, 5488, 543, 811, 6325, 269, 6271, 4324, 540, 10408, 2029, 568, 602, 621, 666, 581, 1031, 547, 13739, 31923, 6786, 269, 2060, 519, 1318, 3926, 267, 596, 666, 946, 519, 5365, 547, 1921, 547, 824, 31923, 3457, 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 ]
[ 15571, 7457, 8416, 264, 607, 513, 25367, 476, 272, 26199, 13798, 8595, 1062, 269, 4647, 623, 969, 5297, 6176, 8232, 543, 281, 674, 22835, 834, 590, 1712, 22438, 341, 773, 2580, 476, 1704, 12004, 10455, 1382, 540, 3168, 2984, 607, 4317, 667, 11395, 540, 7746, 269, 5871, 11775, 540, 4317, 10819, 267, 9793, 1070, 476, 15836, 268, 16409, 269, 7209, 7944, 269, 9477, 593, 2818, 281, 10952, 5561, 269, 8631, 540, 513, 544, 6471, 540, 513, 6644, 540, 476, 279, 263, 27840, 3334, 269, 11239, 1702, 281, 10158, 543, 12016, 268, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 23852, 29803, 1315, 22960, 1299, 13910, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 6092, 5149, 281, 12724, 3547, 543, 808, 8811, 611, 630, 1556, 628, 268, 1321, 628, 2578, 3753, 9460, 2020, 7072, 912, 5970, 596, 2479, 9289, 1018, 621, 1131, 581, 899, 547, 979, 593, 513, 1279, 3460, 267, 6849, 1082, 2591, 2059, 519, 1259, 267, 782, 538, 519, 2012, 540, 707, 4984, 286, 4438, 519, 5664, 12698, 267, 713, 5949, 3833, 1419, 256, 5565, 2101, 3909, 5322, 602, 3576, 1747, 1282, 713, 942, 941, 1572, 519, 12724, 3547, 543, 808, 8811, 611, 269, 2913, 781, 2263, 891, 1079, 2035, 543, 1174, 741, 4644, 538, 1686, 780, 4089, 476, 272, 281, 4197, 16241, 4762, 26555, 454, 1103, 519, 2250, 267, 1004, 689, 1114, 10764, 3006, 10692, 1996, 1142, 824, 1317, 789, 5156, 538, 1114, 10971, 610, 4553, 1114, 10752, 269, 901, 3366, 547, 7526, 1634, 607, 13411, 10617, 610, 3909, 10617, 269, 5565, 1271, 2474, 649, 786, 1451, 616, 1412, 290, 6350, 3547, 262, 543, 1412, 297, 8811, 611, 9538, 692, 4089, 476, 273, 281, 634, 12724, 3547, 1107, 1323, 11137, 454, 763, 12724, 3547, 7018, 1063, 519, 476, 1556, 628, 543, 476, 1724, 628, 5553, 950, 3864, 10271, 4956, 547, 1491, 1394, 1852, 540, 13243, 543, 519, 10513, 8092, 689, 7332, 4341, 269, 1358, 4941, 1569, 547, 4609, 2808, 10723, 676, 741, 5132, 269, 1452, 30295, 3238, 5215, 540, 29843, 543, 7980, 945, 24389, 593, 17890, 15322, 547, 3914, 11397, 3338, 780, 4089, 476, 274, 281, 30258, 19992, 519, 12724, 3547, 454, 2467, 941, 1896, 4128, 1946, 17417, 8359, 547, 7119, 538, 519, 12724, 3547, 269, 2290, 3119, 2601, 729, 4984, 282, 789, 5433, 9141, 547, 29379, 13411, 4609, 269, 3958, 267, 972, 941, 2804, 18144, 267, 971, 607, 11543, 1007, 11182, 543, 2200, 269, 14936, 267, 2797, 2188, 5129, 513, 1909, 1932, 267, 1519, 9591, 1379, 6384, 1851, 15194, 3885, 543, 25267, 780, 4089, 476, 275, 281, 8177, 540, 519, 12724, 3547, 454, 7212, 519, 12724, 19470, 7620, 4810, 1967, 267, 789, 5555, 4503, 1034, 540, 519, 8513, 6591, 936, 942, 269, 1717, 267, 519, 1764, 4682, 3564, 4108, 9271, 269, 4980, 12147, 267, 2342, 4718, 2799, 4598, 547, 12428, 5931, 267, 9443, 267, 543, 1148, 1813, 547, 4205, 1282, 519, 12724, 3547, 269, 8859, 1227, 267, 4123, 11507, 4957, 267, 3056, 547, 2208, 538, 1978, 4525, 269, 10598, 8271, 267, 519, 5208, 8507, 538, 7092, 543, 2669, 585, 9118, 2043, 780, 4089, 476, 276, 281, 808, 8811, 611, 1107, 9502, 543, 16700, 935, 8526, 454, 3086, 1577, 781, 2490, 938, 3007, 2509, 808, 8811, 611, 267, 799, 2501, 689, 9099, 2245, 269, 10705, 29144, 267, 808, 8811, 611, 2965, 1797, 1412, 11584, 24327, 262, 2864, 982, 1412, 3128, 344, 2112, 10086, 4352, 930, 17119, 1235, 4612, 621, 8335, 269, 898, 666, 3277, 547, 1585, 3029, 540, 6560, 1369, 13951, 267, 2146, 267, 610, 6626, 2486, 269, 4107, 11932, 267, 808, 8811, 611, 1281, 711, 7873, 821, 967, 4593, 3234, 3729, 11318, 610, 18483, 855, 8992, 4708, 267, 5126, 267, 543, 5683, 2932, 780, 4089, 476, 277, 281, 8466, 12745, 540, 808, 8811, 611, 454, 7628, 519, 2038, 2395, 540, 5771, 267, 12356, 5185, 11685, 1247, 10825, 741, 5132, 269, 1306, 513, 1267, 267, 17872, 12959, 2968, 2556, 267, 3976, 4758, 4473, 547, 519, 1523, 540, 808, 8811, 611, 269, 13536, 267, 896, 7810, 4341, 267, 12356, 1586, 1336, 2933, 8165, 585, 7115, 543, 1582, 24148, 267, 1045, 3183, 808, 8811, 611, 2899, 811, 780, 6962, 912, 18698, 3140, 2621, 899, 519, 12724, 3547, 543, 808, 8811, 611, 2337, 721, 1732, 10146, 875, 7239, 723, 7960, 998, 4655, 543, 9316, 2066, 3909, 3515, 269, 2755, 1312, 2671, 10486, 607, 3909, 9620, 267, 1620, 741, 2189, 8658, 2488, 3407, 4030, 883, 10120, 1686, 543, 4207, 2152, 4478, 3961, 267, 3661, 1949, 267, 543, 2518, 1894, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 476, 272, 5808, 12984, 853, 269, 18536, 888, 268, 476, 273, 853, 269, 18536, 12984, 333, 1406, 9721, 454, 268, 476, 274, 853, 269, 18536, 779, 966, 2888, 543, 21001, 3380, 454, 268, 476, 275, 853, 269, 18536, 14119, 730, 9721, 9177, 20553, 4168, 16497, 454, 268, 476, 276, 853, 269, 18536, 12984, 8550, 32588, 1242, 607, 513, 12142, 454, 268, 476, 277, 12142, 18536, 454, 268, 476, 278, 5808, 12984, 12142, 18536, 888, 268, 476, 279, 7216, 5020, 454, 268, 476, 280, 3416, 331, 8491, 607, 513, 24635, 454, 268, 476, 1015, 15213, 9824, 16406, 11910, 532, 454, 268, 476, 1556, 17030, 776, 4518, 454, 268, 476, 1321, 12280, 543, 22684, 281, 12142, 18536, 779, 4303, 454, 268, 476, 1724, 12142, 18536, 454, 268, 476, 1691, 1548, 1705, 853, 269, 18536, 798, 286, 5808, 729, 646, 19037, 286, 12700, 267, 1686, 543, 811, 593, 8581, 779, 19121, 23920, 454, 268, 476, 1428, 476, 1015, 1919, 547, 917, 827, 519, 1483, 853, 269, 18536, 454, 268, 476, 1626, 476, 272, 269, 18536, 729, 711, 9721, 454, 268, 476, 1704, 476, 273, 269, 18536, 729, 513, 10553, 454, 268, 476, 1240, 476, 274, 269, 18536, 4862, 9739, 454, 268, 476, 866, 476, 275, 269, 18536, 15189, 547, 2048, 338, 3089, 513, 812, 779, 28244, 20371, 268, 476, 736, 476, 276, 269, 18536, 1185, 22649, 454, 268, 476, 2641, 476, 277, 269, 18536, 1705, 1945, 796, 618, 542, 762, 454, 268, 476, 2420, 476, 278, 269, 18536, 5918, 8215, 609, 546, 745, 1749, 454, 268, 476, 2537, 476, 279, 269, 18536, 1500, 2696, 9153, 454, 268, 476, 2190, 476, 280, 269, 18536, 2760, 5018, 513, 695, 600, 13702, 454, 268, 476, 1839, 476, 1015, 269, 18536, 1705, 711, 5397, 519, 15315, 856, 540, 8581, 454, 268, 476, 2918, 853, 269, 18536, 779, 5020, 12142, 18536, 568, 519, 19121, 23920, 540, 8581, 269, 670, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 6350, 3547, 543, 808, 8811, 611, 630, 1556, 628, 268, 1321, 628, 5553, 9460, 17983, 607, 851, 540, 834, 19615, 1315, 9099, 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, 7689, 476, 272, 281, 4197, 31044, 9442, 8693, 692, 5331, 596, 2811, 4730, 513, 3014, 609, 707, 2828, 1282, 12424, 269, 1677, 3094, 267, 3025, 2115, 547, 5968, 3927, 910, 4687, 1344, 267, 6947, 5402, 267, 543, 2324, 1927, 269, 6153, 2792, 2337, 1711, 513, 2318, 5790, 1141, 3025, 7959, 12595, 543, 4862, 269, 901, 1523, 849, 10039, 547, 4213, 256, 4653, 267, 649, 3513, 1451, 827, 10721, 2792, 2916, 267, 799, 4016, 547, 875, 1004, 1369, 513, 2754, 2671, 1344, 543, 960, 1927, 547, 2743, 741, 3853, 269, 2913, 781, 2263, 2185, 1883, 3344, 540, 513, 2178, 10721, 2792, 2916, 780, 272, 269, 7046, 1145, 281, 3807, 899, 950, 596, 1404, 3756, 693, 12424, 267, 1930, 2792, 1797, 602, 1169, 2319, 4759, 666, 2769, 741, 4555, 11884, 269, 1879, 5520, 1745, 6899, 4687, 741, 8369, 543, 4145, 267, 789, 616, 811, 2693, 547, 3565, 5499, 2093, 269, 1280, 1383, 267, 4952, 1373, 851, 540, 513, 1895, 1788, 693, 1153, 1141, 3025, 8843, 741, 2189, 5380, 1107, 9327, 1405, 602, 1291, 547, 2870, 1945, 5963, 5863, 286, 2334, 781, 4010, 1018, 4523, 538, 3549, 609, 606, 1930, 2792, 2916, 563, 273, 269, 11565, 281, 8490, 3972, 1851, 9164, 5849, 602, 3025, 11099, 538, 1142, 824, 781, 5759, 543, 15752, 269, 1403, 2576, 2306, 513, 12161, 267, 3079, 540, 3478, 13347, 267, 1866, 2709, 948, 543, 1489, 269, 2311, 1153, 267, 1589, 827, 875, 1454, 4443, 621, 568, 547, 12840, 593, 3785, 950, 972, 781, 8994, 3972, 1063, 15032, 269, 6684, 267, 4213, 8853, 950, 32283, 619, 3494, 538, 835, 1776, 543, 960, 1927, 4724, 1455, 6859, 563, 274, 269, 3117, 29548, 281, 5620, 596, 2479, 5129, 513, 3014, 1141, 3652, 6854, 4657, 30122, 286, 898, 1131, 581, 14845, 543, 24858, 267, 1318, 286, 14992, 991, 5812, 2792, 1932, 269, 13068, 6788, 543, 2834, 10311, 2327, 3025, 13978, 593, 3950, 543, 17358, 741, 5107, 269, 1306, 1053, 267, 2348, 5812, 4808, 543, 5955, 2636, 721, 547, 2087, 938, 2773, 543, 3914, 4081, 1967, 563, 275, 269, 30880, 281, 15526, 814, 3407, 4030, 547, 2671, 267, 7488, 540, 2085, 610, 2990, 269, 26451, 782, 9739, 11942, 5876, 267, 5647, 267, 543, 6278, 269, 5994, 7700, 707, 13085, 2856, 585, 513, 2257, 4023, 1788, 543, 7487, 621, 1831, 513, 4641, 1317, 3025, 15548, 8449, 269, 15765, 9525, 5012, 547, 6793, 4296, 543, 3152, 10781, 1312, 3330, 543, 3544, 519, 4928, 780, 3086, 1577, 781, 1921, 891, 2035, 1394, 547, 1483, 1272, 1210, 519, 1650, 540, 645, 10157, 267, 513, 2199, 1870, 3168, 547, 4228, 883, 513, 3677, 2344, 269, 1635, 3384, 513, 4396, 10721, 2792, 2916, 267, 645, 10157, 666, 4125, 782, 922, 5520, 538, 3375, 6194, 3157, 267, 4180, 3025, 781, 5639, 568, 4862, 269, 3414, 1930, 5717, 267, 3972, 20671, 2238, 267, 2312, 2792, 9055, 267, 543, 3742, 7589, 7341, 267, 645, 10157, 666, 17362, 519, 1259, 585, 3811, 2208, 1247, 4509, 6126, 8639, 543, 2799, 12434, 780, 2026, 2104, 3401, 267, 1620, 10721, 2792, 16374, 786, 7668, 596, 547, 1628, 2318, 5054, 16382, 596, 979, 1107, 2436, 621, 781, 3056, 513, 2875, 8630, 267, 10283, 538, 2146, 2621, 267, 610, 5555, 11836, 519, 13781, 269, 8625, 267, 649, 666, 7794, 938, 2792, 1983, 543, 6536, 10103, 538, 1022, 4259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16391, 3074, 723, 513, 16221, 540, 2591, 538, 8159, 1018, 568, 5078, 585, 741, 4238, 269, 21894, 568, 5078, 585, 519, 5106, 540, 606, 3919, 267, 538, 713, 2013, 267, 786, 13822, 1018, 1832, 519, 8639, 13854, 543, 519, 8907, 5108, 1164, 269, 4475, 267, 1434, 7580, 4566, 2097, 538, 547, 5512, 3906, 547, 8275, 1018, 2115, 547, 581, 2944, 585, 519, 1870, 547, 3035, 922, 3853, 269, 10435, 513, 1732, 7580, 1544, 2141, 3947, 606, 3919, 513, 19480, 6149, 2509, 8236, 513, 8013, 5413, 936, 824, 3906, 538, 519, 1482, 2872, 269, 645, 10157, 568, 835, 540, 519, 3906, 6849, 519, 4161, 540, 8380, 1919, 538, 1931, 1354, 14027, 922, 7269, 1982, 269, 645, 10157, 1590, 1631, 946, 922, 2139, 2200, 547, 8275, 20656, 538, 519, 1007, 7045, 269, 589, 8273, 2344, 568, 7996, 585, 645, 10157, 547, 20630, 952, 621, 3096, 713, 7580, 1867, 538, 519, 1318, 1259, 269, 645, 10157, 2115, 547, 2981, 543, 1118, 2029, 835, 540, 922, 9342, 547, 4482, 519, 1082, 31655, 538, 25480, 779, 2344, 269, 9045, 529, 325, 3539, 519, 9441, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16391, 9318, 9442, 8693, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 6355, 9442, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 769, 824, 1913, 267, 1535, 14263, 586, 11224, 476, 1015, 543, 666, 581, 2854, 607, 3830, 645, 1384, 343, 910, 586, 815, 476, 1015, 692, 3086, 4194, 3830, 645, 585, 1535, 547, 1205, 519, 15428, 3830, 645, 1384, 343, 910, 586, 815, 476, 1015, 692, 343, 815, 476, 1015, 1341, 586, 692, 10190, 12990, 1535, 538, 3830, 589, 689, 519, 15428, 3830, 645, 543, 1287, 4194, 585, 586, 1384, 343, 1341, 586, 815, 476, 2190, 692, 1015, 1341, 586, 1341, 586, 815, 476, 2190, 692, 1015, 1341, 476, 273, 344, 815, 476, 2190, 692, 273, 344, 815, 476, 1691, 692, 344, 815, 476, 278, 692, 3086, 649, 917, 586, 568, 476, 278, 269, 6904, 1797, 602, 649, 666, 12990, 586, 585, 476, 278, 538, 3830, 589, 543, 4194, 585, 1535, 1384, 343, 1341, 586, 815, 476, 2190, 692, 343, 1341, 476, 278, 815, 476, 2190, 692, 343, 815, 476, 1704, 692, 3383, 1535, 30819, 815, 476, 1704, 270, 278, 692, 2422, 8943, 5254, 17751, 295, 26041, 1220, 543, 1205, 5442, 305, 476, 1220, 3606, 5508, 293, 2422, 595, 19281, 517, 8943, 0, 258, 7621, 32184, 547, 12384, 4911, 560, 668, 20593, 614, 692, 22704, 454, 23682, 32184, 454, 306, 13645, 4911, 560, 668, 454, 272, 7621, 32184, 815, 476, 277, 324, 266, 2190, 12384, 4911, 560, 668, 338, 692, 1012, 1215, 1082, 12384, 4911, 560, 668, 338, 616, 538, 513, 7621, 32184, 2496, 763, 2626, 568, 835, 7621, 32184, 568, 3160, 547, 476, 277, 324, 266, 2190, 12384, 4911, 560, 668, 338, 543, 602, 1797, 649, 666, 849, 2328, 621, 607, 476, 272, 7621, 32184, 815, 476, 277, 324, 266, 2190, 12384, 4911, 560, 668, 338, 269, 18461, 1863, 547, 946, 938, 2228, 1770, 7503, 9498, 547, 6460, 519, 1770, 689, 7621, 32184, 547, 12384, 4911, 560, 668, 269, 3807, 3274, 4283, 1871, 476, 272, 538, 7621, 32184, 543, 1294, 519, 1267, 538, 12384, 4911, 560, 668, 780, 1012, 1215, 547, 22417, 7621, 32184, 547, 12384, 4911, 560, 668, 630, 2135, 32184, 547, 589, 273, 2020, 3528, 1210, 938, 7621, 32184, 547, 12384, 4911, 560, 668, 7503, 1907, 267, 596, 917, 602, 835, 7621, 32184, 568, 6697, 547, 476, 277, 324, 266, 2190, 12384, 4911, 560, 668, 269, 9747, 267, 547, 6460, 7621, 32184, 547, 12384, 4911, 560, 668, 267, 649, 1175, 991, 547, 9062, 519, 1297, 676, 476, 277, 324, 266, 2190, 269, 1284, 616, 2469, 547, 946, 1360, 2241, 7621, 32184, 547, 12384, 4911, 560, 668, 7503, 4542, 585, 602, 269, 20167, 553, 1294, 519, 9819, 1383, 2016, 2630, 780, 11377, 3667, 346, 272, 7621, 32184, 348, 815, 476, 272, 1422, 9392, 476, 277, 324, 266, 2190, 815, 1422, 3667, 346, 277, 324, 266, 2190, 12384, 4911, 560, 668, 338, 15732, 1012, 1548, 568, 7621, 32184, 5149, 540, 12763, 2496, 23682, 32184, 568, 513, 1770, 540, 6482, 585, 1858, 269, 7621, 32184, 568, 849, 1634, 607, 536, 990, 622, 269, 7621, 32184, 568, 606, 2025, 2244, 6482, 1770, 799, 729, 1031, 1282, 476, 1626, 628, 2540, 538, 4789, 543, 10430, 269, 2290, 3404, 32184, 568, 3160, 547, 476, 7785, 616, 780, 1012, 1548, 568, 519, 3090, 540, 7621, 32184, 2496, 763, 3090, 540, 7621, 32184, 568, 3404, 32184, 269, 901, 1797, 596, 666, 849, 2328, 835, 7621, 32184, 607, 476, 272, 3404, 32184, 780, 1012, 1548, 568, 12384, 4911, 560, 668, 5149, 540, 12763, 2496, 306, 13645, 4911, 560, 668, 568, 513, 1770, 540, 1858, 6482, 269, 769, 4009, 2587, 560, 668, 267, 782, 5011, 616, 3160, 547, 476, 272, 2587, 560, 668, 538, 3259, 780, 1012, 1548, 568, 519, 3090, 540, 12384, 4911, 560, 668, 2496, 763, 3090, 540, 12384, 4911, 560, 668, 568, 589, 273, 269, 901, 1797, 596, 666, 849, 2328, 835, 12384, 4911, 560, 668, 607, 476, 272, 589, 273, 780, 1012, 7621, 32184, 547, 12384, 4911, 560, 668, 23586, 7305, 692, 23682, 32184, 1496, 2135, 32184, 316, 306, 13645, 4911, 560, 668, 1496, 288, 273, 2639, 1626, 324, 266, 2190, 454, 2641, 269, 273, 324, 266, 1839, 454, 4029, 269, 279, 324, 266, 1839, 454, 5655, 269, 275, 324, 266, 1839, 454, 7871, 324, 266, 1839, 454, 8287, 269, 277, 324, 266, 1839, 454, 10619, 269, 273, 324, 266, 1839, 454, 10019, 269, 279, 324, 266, 1839, 454, 4817, 269, 275, 324, 266, 1839, 454, 11793, 324, 266, 1839, 454, 1911, 277, 324, 266, 2918, 454, 1911, 6187, 324, 266, 2767, 692, 1012, 7621, 32184, 547, 4033, 19590, 23586, 7305, 692, 23682, 32184, 1496, 2135, 32184, 316, 20479, 454, 272, 3404, 32184, 538, 606, 16988, 600, 568, 3160, 547, 8660, 277, 280, 269, 11152, 454, 272, 3404, 32184, 538, 513, 3570, 568, 3160, 547, 6642, 278, 269, 6734, 454, 272, 3404, 32184, 538, 23505, 568, 3160, 547, 1691, 269, 10695, 454, 272, 3404, 32184, 538, 818, 25871, 568, 3160, 547, 1704, 269, 4649, 454, 272, 3404, 32184, 538, 616, 568, 3160, 547, 7785, 454, 272, 3404, 32184, 538, 28561, 568, 3160, 547, 277, 324, 266, 3953, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 817, 600, 316, 568, 3160, 547, 4510, 269, 5952, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 8054, 536, 1263, 531, 316, 568, 3160, 547, 4510, 269, 5952, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 18636, 541, 533, 20773, 316, 568, 3160, 547, 2537, 269, 10844, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 571, 329, 553, 22474, 316, 568, 3160, 547, 2537, 269, 7761, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 6798, 9618, 316, 568, 3160, 547, 2537, 269, 10463, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 7666, 329, 7806, 316, 568, 3160, 547, 4391, 269, 5881, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 29538, 778, 531, 533, 20773, 316, 568, 3160, 547, 10619, 269, 1724, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 333, 788, 531, 316, 568, 3160, 547, 279, 269, 10436, 454, 272, 3404, 32184, 538, 20312, 11445, 1496, 18636, 541, 533, 20773, 316, 568, 3160, 547, 275, 4281, 269, 275, 454, 272, 3404, 32184, 538, 536, 990, 622, 568, 3160, 547, 272, 454, 272, 3404, 32184, 538, 1207, 837, 568, 3160, 547, 277, 454, 272, 3404, 32184, 538, 9348, 718, 4997, 568, 3160, 547, 271, 269, 15836, 18357, 18357, 18357, 3451, 454, 272, 3404, 32184, 538, 9348, 718, 4997, 1496, 322, 18866, 316, 568, 3160, 547, 271, 269, 4510, 278, 6021, 274, 6434, 280, 278, 1626, 10019, 454, 272, 3404, 32184, 538, 9348, 718, 4997, 1496, 4944, 664, 316, 568, 3160, 547, 271, 269, 1428, 454, 272, 3404, 32184, 538, 1286, 516, 879, 568, 3160, 547, 275, 269, 4792, 454, 272, 3404, 32184, 538, 1286, 1075, 622, 568, 3160, 547, 271, 269, 11277, 27174, 278, 3445, 11277, 5379, 454, 272, 3404, 32184, 538, 524, 11921, 773, 568, 3160, 547, 1556, 269, 1556, 454, 272, 3404, 32184, 538, 1298, 568, 3160, 547, 16825, 273, 269, 8287, 454, 272, 3404, 32184, 538, 1298, 328, 732, 568, 3160, 547, 7785, 876, 454, 272, 3404, 32184, 538, 9764, 3723, 568, 3160, 547, 279, 2420, 22145, 269, 6246, 454, 272, 3404, 32184, 538, 9764, 10759, 568, 3160, 547, 14093, 30329, 2412, 278, 269, 7918, 454, 272, 3404, 32184, 538, 7249, 568, 3160, 547, 2568, 454, 272, 3404, 32184, 538, 3382, 568, 3160, 547, 2420, 269, 2190, 454, 272, 3404, 32184, 538, 524, 21838, 6767, 568, 3160, 547, 1428, 269, 2767, 454, 272, 3404, 32184, 538, 10004, 752, 568, 3160, 547, 16960, 7906, 269, 6434, 454, 272, 3404, 32184, 538, 8918, 568, 3160, 547, 16825, 273, 269, 8287, 454, 272, 3404, 32184, 538, 632, 330, 732, 568, 3160, 547, 2568, 454, 272, 3404, 32184, 538, 10982, 559, 568, 3160, 547, 16825, 273, 269, 8287, 454, 272, 3404, 32184, 538, 546, 327, 584, 1496, 339, 8692, 3120, 316, 568, 3160, 547, 9692, 4375, 279, 269, 7906, 454, 272, 3404, 32184, 538, 546, 327, 584, 1496, 333, 788, 531, 316, 568, 3160, 547, 30500, 274, 269, 6858, 454, 272, 3404, 32184, 538, 546, 684, 600, 568, 3160, 547, 2568, 454, 272, 3404, 32184, 538, 20473, 568, 3160, 547, 273, 269, 4097, 454, 272, 3404, 32184, 538, 10178, 9298, 568, 3160, 547, 280, 269, 3451, 454, 272, 3404, 32184, 538, 2484, 2251, 23014, 568, 3160, 547, 6795, 269, 3066, 454, 272, 3404, 32184, 538, 10480, 323, 534, 568, 3160, 547, 1691, 269, 4375, 454, 272, 3404, 32184, 538, 575, 7701, 568, 3160, 547, 278, 5325, 269, 5392, 454, 272, 3404, 32184, 538, 575, 1690, 568, 3160, 547, 278, 1704, 6795, 269, 275, 454, 272, 3404, 32184, 538, 575, 1690, 600, 568, 3160, 547, 278, 1704, 6795, 269, 275, 454, 272, 3404, 32184, 538, 7784, 15925, 568, 3160, 547, 6795, 274, 269, 4962, 454, 272, 3404, 32184, 538, 575, 327, 6373, 517, 568, 3160, 547, 1691, 269, 10695, 454, 272, 3404, 32184, 538, 2666, 568, 3160, 547, 29483, 269, 272, 454, 272, 3404, 32184, 538, 554, 659, 328, 12629, 568, 3160, 547, 271, 269, 1822, 5780, 280, 5038, 273, 5952, 278, 16318, 10436, 454, 272, 3404, 32184, 538, 20267, 732, 568, 3160, 547, 277, 454, 272, 3404, 32184, 538, 12404, 568, 3160, 547, 271, 269, 11277, 27174, 278, 3445, 11277, 5379, 454, 272, 3404, 32184, 538, 554, 719, 568, 3160, 547, 5655, 269, 2420, 454, 272, 3404, 32184, 538, 4627, 568, 3160, 547, 271, 269, 9826, 23056, 6321, 278, 3445, 272, 23056, 277, 454, 272, 3404, 32184, 538, 28478, 756, 568, 3160, 547, 3066, 269, 6924, 454, 272, 3404, 32184, 538, 795, 583, 549, 568, 3160, 547, 1015, 269, 6246, 454, 272, 3404, 32184, 538, 737, 24048, 1496, 321, 836, 14994, 316, 568, 3160, 547, 8660, 277, 269, 4200, 454, 272, 3404, 32184, 538, 737, 534, 531, 568, 3160, 547, 14093, 269, 8618, 454, 272, 3404, 32184, 538, 737, 8643, 568, 3160, 547, 4391, 269, 4391, 454, 272, 3404, 32184, 538, 737, 4673, 568, 3160, 547, 29218, 280, 269, 7176, 454, 272, 3404, 32184, 538, 737, 1952, 1633, 568, 3160, 547, 4343, 279, 269, 4817, 454, 272, 3404, 32184, 538, 6146, 320, 568, 3160, 547, 1691, 269, 10695, 454, 272, 3404, 32184, 538, 737, 7949, 320, 568, 3160, 547, 8660, 277, 280, 269, 11152, 454, 272, 3404, 32184, 538, 737, 25625, 568, 3160, 547, 275, 4366, 275, 269, 9834, 454, 272, 3404, 32184, 538, 737, 4875, 600, 568, 3160, 547, 16825, 269, 2918, 454, 272, 3404, 32184, 538, 682, 15939, 568, 3160, 547, 275, 4366, 275, 269, 9834, 454, 272, 3404, 32184, 538, 4074, 568, 3160, 547, 271, 269, 5400, 274, 10384, 5611, 4962, 280, 4391, 454, 272, 3404, 32184, 538, 1850, 7699, 568, 3160, 547, 271, 269, 19740, 4097, 279, 24879, 16573, 4391, 275, 279, 454, 272, 3404, 32184, 538, 812, 345, 3570, 1496, 1173, 550, 2088, 316, 568, 3160, 547, 277, 454, 272, 3404, 32184, 538, 812, 345, 3570, 1496, 322, 739, 320, 678, 3821, 316, 568, 3160, 547, 279, 269, 6812, 454, 272, 3404, 32184, 538, 2261, 5055, 568, 3160, 547, 26801, 273, 269, 2641, 454, 272, 3404, 32184, 538, 2849, 2102, 1496, 326, 1069, 1415, 316, 568, 3160, 547, 2190, 454, 272, 3404, 32184, 538, 2849, 2102, 1496, 338, 1926, 21562, 316, 568, 3160, 547, 278, 454, 272, 3404, 32184, 538, 18665, 568, 3160, 547, 3445, 454, 272, 3404, 32184, 538, 544, 3120, 6277, 320, 568, 3160, 547, 271, 269, 6795, 274, 32180, 4375, 272, 26951, 5780, 454, 272, 3404, 32184, 538, 4573, 628, 328, 568, 3160, 547, 275, 4281, 274, 269, 9834, 454, 272, 3404, 32184, 538, 562, 3258, 333, 568, 3160, 547, 5611, 454, 272, 3404, 32184, 538, 562, 8932, 568, 3160, 547, 26482, 454, 272, 3404, 32184, 538, 533, 9820, 320, 568, 3160, 547, 4037, 275, 279, 269, 3953, 454, 272, 3404, 32184, 538, 829, 3832, 568, 3160, 547, 11260, 275, 269, 4817, 454, 272, 3404, 32184, 538, 1612, 1952, 340, 568, 3160, 547, 26801, 269, 2420, 454, 272, 3404, 32184, 538, 7510, 784, 568, 3160, 547, 8687, 4366, 269, 11025, 454, 272, 3404, 32184, 538, 986, 328, 568, 3160, 547, 4391, 269, 276, 454, 272, 3404, 32184, 538, 887, 617, 568, 3160, 547, 6795, 269, 4029, 454, 272, 3404, 32184, 538, 887, 3966, 328, 568, 3160, 547, 14056, 269, 11463, 454, 272, 3404, 32184, 538, 2893, 752, 568, 3160, 547, 16825, 273, 269, 8287, 454, 272, 3404, 32184, 538, 3296, 568, 3160, 547, 271, 269, 271, 2537, 14917, 15782, 24423, 276, 5325 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1215, 2052, 11162, 652, 10610, 28389, 2659, 13379, 13809, 17714, 888, 1607, 2689, 786, 3382, 513, 2143, 7778, 540, 922, 5820, 543, 922, 2640, 547, 938, 1560, 267, 875, 519, 11162, 652, 10610, 786, 581, 513, 1390, 948, 585, 596, 538, 707, 2597, 2530, 3460, 269, 4658, 945, 723, 1044, 10010, 609, 1560, 2597, 2152, 1223, 2285, 713, 2119, 593, 713, 11162, 652, 10610, 9422, 7110, 563, 763, 3803, 2357, 18743, 593, 519, 11162, 652, 10610, 24101, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10267, 3175, 10657, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 10610, 7581, 753, 532, 1299, 5489, 2135, 2305, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4828, 5675, 20929, 910, 5675, 606, 19264, 819, 4828, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 596, 786, 581, 2111, 547, 2328, 513, 2312, 543, 8903, 1557, 827, 707, 2104, 3853, 543, 17050, 780, 16240, 606, 1557, 827, 707, 27606, 666, 581, 1312, 1187, 543, 4101, 256, 898, 2636, 596, 547, 2263, 707, 9909, 543, 4952, 3054, 538, 519, 2104, 269, 901, 1826, 540, 1557, 849, 2337, 596, 2259, 12180, 707, 4555, 543, 11589, 873, 5693, 1765, 12921, 1571, 1898, 585, 1164, 1153, 13675, 11400, 543, 3564, 269, 2913, 781, 4685, 883, 875, 547, 1711, 513, 9159, 20440, 1557, 2439, 3721, 476, 272, 281, 7994, 2659, 19264, 819, 454, 6524, 8380, 4050, 547, 1957, 630, 528, 11263, 547, 10569, 1070, 6430, 799, 4876, 610, 8321, 566, 596, 1616, 547, 1445, 593, 269, 1280, 1383, 267, 952, 596, 4126, 547, 1831, 606, 8136, 11464, 899, 519, 835, 4330, 693, 519, 4098, 540, 713, 2376, 267, 602, 781, 513, 1390, 3903, 256, 1403, 596, 2811, 18516, 267, 1589, 827, 1018, 2300, 2572, 596, 1034, 267, 1141, 707, 9342, 9114, 267, 543, 1018, 2238, 4734, 596, 4743, 24009, 780, 3721, 476, 273, 281, 18430, 3194, 454, 294, 664, 4030, 883, 707, 6074, 2361, 676, 2542, 4930, 267, 8384, 7044, 267, 6158, 609, 4648, 267, 610, 1256, 9683, 4143, 5238, 269, 4197, 811, 827, 707, 5551, 3924, 786, 948, 596, 2491, 1946, 621, 22587, 547, 596, 865, 1454, 269, 5457, 267, 1498, 267, 798, 711, 5299, 1866, 262, 960, 282, 3079, 267, 946, 741, 2833, 543, 6791, 547, 8300, 707, 2189, 5133, 780, 3721, 476, 274, 281, 8073, 513, 16200, 4985, 454, 294, 4599, 707, 5467, 781, 3007, 1318, 2476, 676, 4358, 609, 513, 13622, 30867, 10578, 3948, 610, 2243, 1644, 547, 707, 20440, 269, 3973, 267, 1683, 930, 4282, 1344, 543, 2796, 1354, 17548, 707, 1292, 3804, 269, 5269, 2386, 707, 4367, 3762, 3988, 11235, 547, 1451, 811, 827, 707, 3460, 780, 3721, 476, 275, 281, 3763, 10610, 24225, 338, 454, 10376, 5037, 1058, 3382, 513, 2582, 2856, 610, 2460, 540, 707, 20440, 269, 2422, 1808, 3877, 10356, 1282, 1382, 547, 6542, 707, 15131, 543, 7029, 269, 6333, 5466, 2055, 971, 607, 1384, 265, 1548, 6273, 596, 547, 3442, 713, 2619, 888, 265, 1215, 1281, 713, 3514, 609, 707, 1983, 543, 4690, 888, 265, 5808, 814, 6766, 610, 6462, 596, 2059, 519, 1259, 888, 265, 1548, 3268, 616, 596, 2921, 1631, 547, 3035, 707, 3804, 888, 265, 3657, 972, 1022, 1761, 9465, 610, 22303, 267, 543, 875, 1522, 596, 2232, 873, 2496, 3721, 476, 276, 281, 3503, 513, 3281, 2454, 10390, 454, 310, 1905, 909, 707, 1557, 676, 28388, 707, 1292, 2798, 543, 556, 3438, 908, 707, 8990, 269, 1411, 949, 849, 2671, 707, 5075, 540, 1967, 267, 11168, 875, 13197, 707, 20440, 8309, 9797, 547, 2486, 267, 610, 1865, 2081, 596, 1544, 547, 3136, 3395, 13948, 543, 24015, 780, 7078, 1401, 1356, 696, 912, 296, 993, 5462, 547, 1831, 606, 8136, 11464, 267, 4142, 21899, 8885, 547, 7863, 938, 4182, 781, 2418, 543, 17516, 4708, 1369, 922, 10665, 269, 1677, 5965, 585, 713, 14053, 2943, 14785, 4876, 267, 594, 4497, 538, 2168, 8516, 2866, 543, 3343, 5718, 3255, 8164, 2009, 269, 4014, 594, 5431, 519, 3875, 23665, 6619, 267, 594, 2611, 32344, 538, 1250, 13287, 540, 4742, 606, 12913, 8136, 11464, 780, 8855, 267, 13167, 606, 5140, 20440, 1557, 3217, 942, 267, 4674, 267, 543, 1582, 26190, 269, 5213, 1405, 19060, 998, 519, 1184, 282, 2864, 267, 2972, 3695, 707, 18653, 543, 4687, 707, 1650, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7069, 13667, 540, 5020, 568, 547, 28161, 606, 8136, 20229, 454, 7069, 2832, 540, 1272, 568, 547, 1831, 606, 7952, 11464, 610, 1250, 2832, 540, 1272, 568, 547, 1831, 513, 17199, 267, 476, 5611, 1913, 593, 1250, 2832, 540, 1272, 568, 547, 1831, 606, 7952, 11464, 563, 9336, 4819, 9909, 540, 1373, 2576, 607, 646, 9428, 909, 269, 1261, 5036, 513, 2123, 3804, 585, 5128, 543, 1568, 2182, 547, 11886, 621, 269, 5020, 814, 1100, 2495, 2394, 596, 723, 20440, 269, 19264, 819, 2306, 513, 1268, 3742, 543, 2182, 268, 11529, 563, 7069, 20440, 538, 1272, 568, 547, 581, 606, 8136, 11464, 269, 11835, 1456, 519, 8136, 814, 2141, 1044, 513, 5326, 540, 9553, 2094, 594, 729, 513, 1126, 269, 594, 1174, 602, 7674, 1250, 4182, 543, 922, 1004, 786, 711, 581, 2241, 267, 855, 621, 814, 2141, 1044, 513, 7287, 540, 9553, 563, 6097, 547, 1018, 594, 4076, 4862, 267, 519, 1272, 540, 606, 7952, 11464, 568, 2407, 540, 10761, 267, 7045, 267, 543, 2591, 269, 3509, 540, 891, 2188, 13631, 803, 547, 519, 8136, 563, 2026, 606, 8136, 11464, 267, 594, 6999, 547, 4196, 1250, 2197, 269, 3733, 2197, 568, 1360, 5318, 269, 4706, 8513, 267, 6302, 267, 543, 23795, 616, 11999, 543, 1131, 991, 513, 7372, 543, 3810, 2500, 8878, 2497, 269, 634, 8136, 4249, 513, 1883, 1909, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13625, 5675, 20929, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 4400, 3427, 9980, 8896, 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, 8080, 547, 938, 5767, 1576, 1770, 1141, 649, 786, 2263, 519, 4241, 1158, 540, 519, 4950, 267, 2228, 3106, 267, 543, 875, 4031, 2149, 1004, 781, 2924, 1256, 538, 713, 2518, 3060, 256, 4653, 267, 649, 616, 2469, 547, 4685, 883, 513, 1483, 3734, 2013, 5473, 513, 2754, 3957, 1744, 1301, 534, 543, 741, 2442, 3301, 1572, 20673, 12711, 269, 2913, 781, 1205, 3323, 2439, 5331, 596, 723, 2813, 1945, 5863, 910, 6148, 513, 3579, 5373, 267, 1650, 267, 610, 5152, 269, 1411, 1131, 1745, 13347, 952, 2576, 3576, 707, 5137, 543, 3838, 621, 609, 1866, 1510, 4758, 596, 5491, 267, 1318, 286, 2334, 568, 1018, 5949, 950, 7260, 801, 3930, 899, 631, 14875, 4362, 602, 930, 1004, 941, 1210, 20673, 12711, 3301, 547, 2671, 12215, 540, 741, 5172, 8874, 24648, 958, 269, 1924, 267, 789, 4956, 547, 1491, 3656, 2962, 1996, 1744, 1301, 534, 267, 519, 15888, 540, 20673, 12711, 780, 3086, 267, 1934, 2501, 519, 16602, 851, 269, 1215, 798, 596, 647, 324, 2576, 945, 2729, 538, 1776, 2197, 855, 5540, 3755, 782, 936, 519, 1158, 998, 519, 4950, 286, 4270, 267, 1577, 781, 1101, 1174, 1141, 1744, 1301, 534, 729, 4092, 269, 1358, 8359, 547, 6451, 2933, 538, 606, 834, 4752, 17060, 16278, 2437, 799, 1797, 789, 10805, 741, 1870, 538, 513, 1114, 2197, 982, 1141, 789, 3177, 741, 2533, 269, 898, 4667, 899, 789, 1705, 713, 547, 3251, 3544, 519, 3914, 540, 2475, 10470, 1317, 1346, 10470, 3112, 3362, 17997, 3652, 1996, 4914, 3549, 269, 1717, 267, 972, 1522, 1869, 581, 2081, 547, 3180, 873, 18177, 1862, 8528, 1103, 713, 1880, 3510, 267, 1744, 1301, 534, 6035, 1863, 3301, 1572, 519, 20673, 12711, 9012, 30325, 9008, 630, 298, 13270, 1040, 4658, 1223, 946, 713, 1982, 547, 1413, 585, 543, 23396, 3059, 6119, 971, 607, 8964, 267, 7044, 267, 543, 824, 2326, 267, 1034, 540, 799, 941, 6870, 676, 10677, 4031, 269, 1677, 1265, 891, 6119, 267, 3755, 4448, 547, 1142, 824, 3842, 16258, 9199, 1188, 3758, 6879, 2130, 2029, 780, 763, 2462, 2243, 1934, 729, 2436, 513, 2475, 5480, 1223, 3635, 1852, 936, 1744, 1301, 534, 2094, 789, 14201, 1405, 9308, 4092, 538, 3013, 269, 2991, 6313, 1585, 2188, 267, 25960, 15537, 966, 269, 14355, 540, 519, 2136, 2276, 10588, 7040, 1767, 962, 2464, 256, 1261, 5462, 602, 646, 8197, 1185, 1379, 936, 1744, 1301, 534, 1813, 547, 741, 1713, 4296, 1369, 519, 3557, 540, 4993, 269, 2290, 2101, 2601, 729, 602, 1472, 29375, 302, 631, 21135, 12778, 2836, 4613, 2103, 1185, 1569, 547, 519, 918, 13270, 3301, 256, 4595, 865, 1082, 7264, 540, 4993, 2170, 539, 609, 1744, 1301, 534, 781, 1587, 267, 519, 9794, 5156, 602, 621, 729, 4023, 547, 5873, 519, 2013, 538, 1010, 5480, 3336, 780, 1607, 15194, 4951, 3025, 602, 1175, 1317, 513, 2754, 3884, 1405, 2212, 32483, 1229, 538, 513, 1808, 4087, 3085, 1405, 1611, 789, 666, 9101, 5539, 585, 741, 3527, 269, 6732, 4213, 1590, 2463, 2199, 543, 3486, 4031, 543, 2327, 741, 2472, 1810, 1405, 2800, 1866, 269, 1306, 10509, 1606, 822, 11803, 3214, 3395, 909, 538, 519, 2085, 540, 519, 4950, 267, 1620, 2665, 899, 713, 835, 2337, 721, 1451, 811, 827, 938, 2924, 267, 9021, 267, 543, 9363, 2922, 1247, 11981, 3388, 2166, 1499, 10628, 814, 547, 2709, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 18850, 2774, 7040, 8293, 2465, 8240, 1744, 1301, 534, 593, 5769, 454, 17780, 9608, 808, 9766, 323, 2109, 454, 347, 272, 270, 280, 269, 634, 772, 2529, 563, 18850, 2774, 7040, 630, 7374, 9773, 264, 9783, 606, 1931, 543, 6644, 538, 631, 14875, 454, 341, 269, 23108, 330, 3122, 538, 799, 621, 17792, 1744, 1301, 534, 8416, 781, 5163, 547, 14962, 454, 1721, 3668, 540, 2123, 16278, 563, 4537, 1301, 534, 267, 799, 1631, 22595, 519, 1883, 7221, 540, 20673, 12711, 2676, 529, 6896, 538, 519, 21369, 16278, 540, 454, 1952, 30068, 585, 519, 3483, 540, 859, 8172, 519, 3914, 540, 772, 2529, 269, 10470, 269, 1744, 1301, 534, 2488, 454, 16451, 3301, 267, 1634, 607, 519, 20673, 12711, 9012, 30325, 9008, 630, 298, 13270, 1070, 602, 666, 581, 22434, 543, 1031, 454, 1729, 3406, 585, 543, 5385, 3059, 2575, 267, 9413, 267, 543, 824, 6140, 10677, 539, 454, 4103, 267, 1210, 16258, 9199, 1188, 3758, 4687, 2029, 269, 634, 7040, 1759, 922, 4466, 540, 454, 26051, 16278, 7361, 593, 454, 1492, 1249, 602, 1744, 1301, 534, 1185, 1500, 519, 918, 13270, 3301, 2139, 547, 827, 1079, 2929, 454, 637, 6342, 540, 519, 1533, 540, 4993, 563, 7072, 269, 901, 1931, 543, 6644, 568, 9783, 538, 1079, 1644, 3527, 2676, 18485, 533, 2056, 538, 519, 454, 338, 877, 5480, 267, 1312, 10246, 3101, 10677, 26418, 618, 267, 543, 1312, 1996, 519, 1482, 9988, 454, 514, 14179, 341, 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, 8702, 547, 938 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 834, 289, 18115, 5050, 2856, 10590, 608, 13094, 808, 2737, 267, 804, 6260, 1010, 3946, 1927, 269, 8625, 267, 789, 5402, 18902, 30099, 519, 646, 11998, 1494, 2509, 519, 1007, 5544, 267, 2921, 1416, 711, 547, 3441, 1022, 7404, 18508, 610, 21426, 780, 19602, 267, 1776, 4759, 540, 741, 2319, 267, 26795, 267, 4767, 741, 3646, 609, 25949, 269, 2701, 5156, 602, 882, 20814, 2371, 1510, 6236, 824, 2188, 1522, 798, 811, 2800, 982, 1434, 269, 2991, 782, 267, 1932, 1454, 1463, 4598, 547, 7943, 666, 1085, 25403, 3762, 1175, 607, 3362, 607, 1932, 2370, 666, 25224, 2208, 269, 8528, 7804, 1508, 676, 1200, 6161, 267, 1352, 14059, 5484, 543, 808, 2737, 269, 834, 4407, 594, 5660, 707, 15131, 2437, 3459, 26795, 15891, 13124, 267, 834, 933, 1590, 3314, 602, 8806, 11093, 513, 2030, 896, 6793, 1769, 3884, 1405, 2614, 1701, 2701, 4682, 593, 547, 2491, 875, 4509, 513, 2635, 2030, 2497, 729, 8449, 1271, 282, 18309, 27315, 1540, 8371, 267, 9427, 7452, 689, 3762, 267, 4180, 1697, 1216, 12775, 267, 543, 1210, 8770, 11656, 3037, 782, 8329, 547, 17306, 15591, 780, 8266, 2287, 32348, 267, 5484, 543, 808, 2737, 7691, 519, 7326, 538, 26795, 781, 1913, 269, 1358, 9684, 539, 1200, 585, 1200, 5813, 543, 4956, 547, 4019, 1018, 789, 4121, 5612, 269, 3683, 519, 1985, 1906, 4374, 267, 789, 22157, 547, 1142, 2030, 23939, 267, 4758, 873, 25191, 3007, 1759, 593, 741, 1808, 2115, 269, 4256, 2182, 960, 6976, 1055, 282, 18932, 3039, 2044, 4904, 1169, 7944, 540, 3798, 523, 781, 744, 12118, 267, 5373, 5360, 9323, 689, 8436, 543, 9164, 7567, 780, 4913, 267, 1967, 3357, 609, 2591, 269, 2368, 2371, 2746, 539, 11874, 547, 6727, 2242, 267, 3450, 873, 3407, 4245, 827, 16795, 1035, 743, 574, 26494, 269, 1656, 865, 267, 5484, 267, 808, 2737, 267, 543, 26795, 4797, 17975, 741, 2409, 267, 1565, 2059, 519, 1259, 602, 1702, 5916, 609, 9639, 1419, 11729, 519, 1034, 4190, 2164, 780, 7437, 891, 2833, 267, 789, 6956, 602, 3246, 513, 2030, 609, 1412, 3467, 1769, 1648, 262, 7012, 1405, 3274, 513, 2339, 540, 2168, 13307, 269, 898, 3238, 1620, 519, 2030, 781, 7350, 267, 18245, 2067, 3157, 267, 543, 7311, 4052, 3435, 6508, 689, 7104, 7326, 269, 4107, 11932, 267, 789, 6444, 602, 5698, 543, 1930, 2792, 3366, 547, 8902, 2371, 543, 6793, 3347, 1851, 519, 1004, 945, 25374, 585, 873, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 4845, 1131, 1683, 513, 23610, 2626, 547, 713, 2243, 281, 834, 288, 2030, 786, 1205, 811, 1769, 1648, 4840, 288, 2030, 786, 1205, 811, 1769, 1648, 950, 621, 568, 6534, 547, 15792, 7943, 267, 5116, 538, 513, 5078, 4087, 609, 811, 21765, 3108, 267, 543, 814, 513, 1134, 31720, 22633, 19916, 602, 7561, 25309, 543, 18252, 2139, 1769, 585, 6099, 15591, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 4495, 2390, 513, 942, 538, 519, 14297, 2749, 540, 570, 514, 1088, 16011, 267, 972, 5030, 1079, 2828, 3957, 6341, 543, 5981, 269, 5637, 941, 13730, 827, 8874, 543, 1185, 1336, 1967, 538, 21035, 910, 6341, 607, 606, 12913, 17076, 267, 543, 5981, 607, 513, 16805, 8689, 269, 1358, 3838, 513, 5326, 540, 2324, 1927, 593, 513, 1788, 1141, 789, 1223, 4628, 8415, 741, 5916, 15421, 780, 3080, 1554, 267, 1310, 1296, 540, 10478, 585, 1175, 519, 1318, 7097, 267, 789, 16686, 2390, 834, 763, 2037, 577, 5896, 11206, 2437, 513, 23406, 9661, 4904, 609, 627, 15501, 673, 7068, 543, 1272, 781, 3407, 4245, 269, 661, 4526, 547, 3142, 713, 4190, 1650, 547, 1272, 267, 789, 4956, 547, 2941, 28558, 267, 13798, 1311, 267, 543, 5182, 538, 621, 269, 9741, 1705, 789, 917, 267, 713, 3375, 1131, 1291, 873, 1524, 513, 2619, 9808, 9853, 609, 2591, 780, 7628, 3341, 3174, 267, 6341, 543, 5981, 6170, 9118, 3108, 7234, 741, 7499, 5075, 267, 16213, 5079, 267, 24853, 267, 543, 6753, 269, 8616, 267, 5103, 741, 10761, 267, 13253, 3459, 547, 4473, 607, 789, 17388, 547, 1265, 513, 2635, 960, 3734, 3666, 269, 4256, 25888, 1790, 17977, 16131, 3366, 547, 22195, 267, 1419, 6028, 1312, 4743, 16397, 543, 896, 1952, 3285, 730, 780, 306, 3019, 2614, 267, 2083, 2719, 3459, 267, 543, 1007, 9465, 7153, 269, 1306, 606, 17076, 267, 6341, 5156, 646, 6956, 1010, 1915, 1732, 982, 4896, 3116, 267, 799, 3361, 11508, 950, 5981, 6829, 18312, 8369, 1282, 31667, 1023, 269, 11531, 267, 5981, 12066, 1194, 609, 4180, 4023, 2126, 1851, 782, 5641, 2818, 267, 2523, 2094, 1352, 729, 849, 4730, 519, 21087, 626, 269, 901, 12242, 5539, 1500, 1200, 1745, 14324, 1063, 5885, 6341, 543, 30176, 1200, 1463, 3645, 11645, 780, 4263, 519, 2295, 540, 891, 7526, 2482, 2792, 2152, 28978, 676, 20387, 2566, 2157, 269, 4438, 513, 3226, 13029, 5385, 267, 14557, 14670, 19212, 15609, 18060, 539, 267, 11589, 6161, 936, 519, 1167, 867, 7133, 3025, 593, 1305, 269, 2701, 18056, 6341, 543, 5981, 875, 4105, 621, 729, 547, 1521, 1866, 609, 2463, 543, 11587, 267, 1256, 9624, 24895, 780, 307, 31189, 676, 15609, 781, 1913, 267, 6341, 543, 5981, 3576, 513, 1900, 1394, 547, 15260, 612, 741, 14422, 269, 1358, 7691, 602, 4352, 789, 6322, 585, 19870, 267, 789, 7948, 1405, 3035, 621, 1510, 14344, 1142, 824, 781, 7418, 543, 5380, 269, 769, 3257, 865, 267, 789, 4362, 519, 1379, 540, 5698, 543, 14207, 267, 14304, 711, 1152, 741, 3318, 6125, 855, 741, 11505, 1932, 780, 4415, 17105, 25525, 267, 6341, 543, 5981, 1201, 21682, 741, 19367, 593, 2870, 9059, 593, 5496, 269, 1358, 4121, 547, 5660, 1142, 824, 781, 6791, 543, 6330, 3604, 30780, 267, 7432, 1761, 7440, 883, 16268, 7391, 3079, 269, 1635, 8508, 6568, 543, 5683, 2932, 267, 789, 27838, 513, 811, 18900, 1604, 585, 519, 3003, 5641, 543, 12284, 780, 10454, 2037, 577, 5896, 11206, 257, 5555, 2968, 513, 4216, 5604, 5734, 267, 3288, 24231, 585, 922, 9159, 23877, 543, 15826, 4798, 269, 31379, 26916, 6341, 543, 5981, 585, 741, 11108, 12644, 543, 632, 1111, 7829, 540, 1950, 4664, 3297, 519, 10207, 269, 4107, 11932, 267, 2705, 267, 519, 1995, 6026, 873, 17170, 4245, 827, 16542, 267, 1620, 267, 543, 13916, 910, 7907, 789, 5645, 4464, 883, 2104, 18129, 780, 1103, 3932, 267, 11495, 513, 3666, 1063, 2789, 5107, 568, 1100, 2653, 9028, 267, 2943, 621, 3587, 15164, 950, 14059, 609, 21548, 267, 22371, 267, 543, 8994, 2463, 269, 2991, 782, 267, 1169, 1367, 6770, 2189, 9342, 543, 4030, 602, 3565, 547, 513, 1788, 781, 2949, 1967, 267, 1818, 2500, 5698, 2629, 585, 10188, 1272, 781, 1082, 2591, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 2591, 814, 715, 817, 541, 5185, 1247, 13326, 1010, 5107, 607, 606, 17076, 543, 8689, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 2123, 1344, 827, 2043, 269, 1717, 267, 538, 2489, 267, 11051, 945, 849, 1463, 949, 3068, 2591, 971, 607, 5883, 942, 543, 9021, 267, 4509, 1843, 2032, 1247, 538, 4395, 540, 519, 8254, 267, 543, 5883, 519, 6788, 543, 19838, 657, 540, 5641, 543, 12284, 2818, 269, 6034, 532, 543, 9117, 849, 2154, 1114, 1983, 267, 865, 606, 17076, 1673, 1311, 528, 949, 991, 547, 10880, 513, 3666, 1063, 519, 1079, 5107, 543, 2327, 602, 789, 616, 4758, 1142, 1909, 519, 3007, 621, 19262, 269, 3958, 267, 519, 2604, 540, 1373, 3743, 585, 1312, 519, 3860, 543, 2845, 6750, 3344, 540, 513, 2504, 666, 581, 11566, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 8080, 547, 938, 3460, 883, 519, 1158, 540, 31910, 1154, 256, 4653, 267, 649, 786, 2263, 11006, 543, 18138, 910, 1079, 1898, 3268, 602, 2285, 707, 844, 2830, 513, 25509, 1413, 543, 948, 621, 2063, 3476, 269, 1635, 1565, 891, 2553, 267, 596, 3513, 1039, 4190, 3877, 547, 707, 3785, 543, 1711, 1726, 25979, 8952, 1389, 780, 1262, 1432, 568, 645, 4193, 15140, 5331, 28277, 513, 10516, 609, 10477, 1957, 543, 17516, 621, 609, 11746, 269, 2334, 781, 1018, 11006, 1281, 585, 707, 844, 2830, 256, 898, 6227, 519, 6151, 8728, 540, 519, 844, 2830, 1283, 267, 10627, 1154, 267, 543, 25380, 6106, 547, 2149, 873, 543, 1683, 513, 16517, 9096, 269, 1411, 666, 3442, 1585, 2010, 540, 11006, 2326, 971, 607, 5958, 17446, 267, 9186, 11746, 267, 610, 840, 13402, 11006, 20061, 269, 2913, 781, 1445, 593, 1210, 5958, 17446, 2221, 780, 1262, 27609, 532, 28577, 22367, 1186, 16001, 272, 269, 7994, 25640, 17234, 585, 707, 1788, 269, 1280, 1383, 267, 946, 31629, 4773, 689, 707, 844, 2830, 1283, 610, 2824, 14911, 4778, 543, 3270, 563, 273, 269, 12338, 476, 273, 16006, 20878, 2647, 17446, 2059, 519, 3259, 630, 528, 8700, 264, 540, 519, 5958, 269, 5269, 2386, 789, 616, 693, 2547, 7466, 519, 15943, 540, 707, 844, 2830, 7132, 513, 1906, 3063, 6279, 269, 901, 2636, 585, 9378, 1450, 1734, 543, 6772, 2355, 950, 11836, 519, 7475, 540, 2789, 17446, 1927, 563, 274, 269, 4964, 1142, 14816, 538, 3368, 3259, 3772, 609, 519, 4636, 5011, 6849, 21286, 269, 901, 5932, 513, 1212, 848, 1899, 602, 10274, 519, 13307, 1282, 22927, 780, 1262, 16920, 2286, 645, 4193, 547, 2659, 2372, 2830, 16001, 272, 269, 20233, 707, 20399, 11006, 14816, 2059, 835, 6316, 540, 519, 844, 2830, 267, 4358, 827, 28870, 1063, 1079, 15174, 269, 26969, 519, 25649, 6316, 540, 519, 11006, 609, 519, 856, 25958, 1448, 540, 519, 844, 2830, 6316, 267, 1318, 5011, 1927, 269, 23680, 513, 476, 277, 268, 279, 10759, 2766, 16304, 10690, 563, 273, 269, 29828, 519, 11006, 547, 519, 844, 2830, 6316, 1210, 513, 476, 26528, 20878, 9378, 27108, 269, 1879, 16042, 519, 7944, 267, 3247, 22927, 476, 26528, 20878, 1354, 8757, 519, 6316, 267, 1394, 560, 3558, 513, 1906, 2053, 547, 5150, 519, 25573, 267, 1287, 12740, 519, 2046, 518, 3723, 543, 17967, 519, 844, 2830, 865, 602, 596, 666, 3136, 22927, 2059, 519, 1985, 2427, 563, 274, 269, 19244, 713, 1184, 2394, 596, 3914, 519, 4098, 540, 707, 3355, 11006, 14816, 269, 2558, 574, 1022, 4430, 11006, 267, 6028, 2614, 4055, 547, 16937, 519, 1439, 540, 519, 1101, 14816, 269, 674, 1245, 1312, 21217, 18807, 267, 5447, 741, 1930, 8728, 267, 543, 18055, 873, 1927, 609, 513, 15497, 9378, 269, 15566, 1140, 2286, 519, 6967, 3808, 6316, 563, 275, 269, 4495, 782, 2185, 5011, 616, 7923, 267, 2046, 519, 11006, 2476, 689, 519, 844, 2830, 267, 24208, 621, 936, 519, 6151, 6316, 269, 2422, 513, 9420, 8280, 19173, 610, 21117, 19173, 547, 1045, 529, 4601, 8936, 519, 25649, 6316, 547, 519, 19758, 728, 540, 519, 844, 2830, 269, 2142, 6297, 711, 547, 7485, 1932, 17401, 267, 799, 949, 2014, 533, 3089, 619, 563, 276, 269, 5556, 17894, 256, 1411, 4312, 6707, 3773, 11006, 547, 707, 844, 2830, 2439, 3086, 1577, 781, 1865, 1776, 1271, 2460, 540, 31910, 1154, 1107, 4946, 16560, 26088, 899, 844, 2830, 10297, 610, 30996, 880, 906, 269, 1452, 18953, 2123, 1125, 707, 5137, 543, 2671, 922, 1650, 780, 1262, 17730, 513, 11822, 22443, 16001, 288, 6003, 2356, 2882, 1344, 827, 945, 1500, 519, 844, 2830, 267, 1946, 267, 543, 950, 269, 4635, 16150, 5958, 610, 1660, 4802, 267, 2328, 610, 1820, 707, 5048, 1210, 8628, 13504, 269, 3973, 3365, 1664, 610, 3684, 19173, 519, 6003, 5196, 519, 19758, 728, 540, 707, 844, 2830, 269, 17968, 267, 2015, 25918, 1359, 707, 2012, 267, 4266, 267, 543, 824, 4143, 9623, 2047, 5196, 519, 844, 2830, 779, 8473, 610, 521, 4770, 780, 8855, 267, 31910, 1154, 568, 5921, 547, 581, 1187, 543, 3860, 269, 5213, 1405, 5855, 827, 19870, 282, 3079, 267, 9784, 9073, 607, 3255, 585, 2208, 543, 1582, 22325, 269, 8414 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 17125, 614, 269, 3776, 5363, 3391, 585, 2081, 547, 2697, 3662, 24181, 543, 563, 288, 1375, 1833, 568, 835, 540, 519, 1034, 1455, 4128, 4620, 5411, 3343, 3318, 948, 585, 741, 5243, 269, 1809, 1018, 568, 14699, 286, 20548, 1833, 568, 20935, 267, 3614, 21874, 267, 610, 16160, 2623, 4724, 606, 1367, 267, 2436, 1480, 610, 1776, 3662, 269, 20548, 1833, 538, 5243, 666, 581, 1813, 547, 1368, 8973, 8513, 267, 2200, 267, 610, 513, 1920, 4759, 282, 4250, 282, 17140, 282, 10352, 5397, 282, 610, 1928, 563, 1103, 782, 540, 891, 3871, 267, 513, 2915, 949, 581, 14593, 1932, 2484, 543, 666, 5912, 3533, 689, 19535, 267, 31604, 267, 610, 1368, 8973, 5615, 547, 1373, 10728, 269, 1234, 13808, 281, 1234, 13808, 568, 4122, 11821, 609, 14699, 269, 17268, 602, 616, 19535, 936, 516, 716, 547, 1978, 15128, 610, 3871, 269, 21834, 267, 3668, 540, 23462, 2073, 13385, 2866, 547, 1451, 1582, 20820, 2073, 513, 31029, 1995, 267, 610, 513, 4999, 540, 891, 666, 2014, 2746, 2032, 267, 543, 4250, 568, 3335, 519, 6117, 3196, 563, 3725, 5562, 5243, 723, 1978, 12153, 267, 971, 607, 2367, 609, 581, 1841, 610, 22970, 267, 1507, 1453, 267, 610, 3871, 950, 519, 2915, 7959, 16290, 593, 513, 682, 1662, 269, 1403, 513, 19535, 2915, 4485, 596, 267, 519, 1655, 3364, 596, 666, 798, 568, 2285, 1864, 2230, 269, 1684, 711, 1935, 538, 606, 3801, 547, 26250, 1864, 269, 1403, 596, 723, 513, 19535, 2915, 267, 2324, 609, 513, 26519, 547, 2119, 2623, 14842, 2553, 602, 786, 2232, 519, 2014, 666, 2061, 15583, 566, 547, 14699, 563, 293, 697, 610, 22947, 281, 21824, 568, 519, 1034, 1455, 2014, 540, 14699, 269, 28611, 950, 513, 2915, 568, 18901, 543, 7959, 12219, 267, 646, 23297, 547, 2196, 689, 8726, 568, 31029, 1864, 269, 21824, 995, 5243, 949, 711, 2285, 1022, 21855, 824, 982, 741, 1560, 1893, 269, 645, 2572, 616, 3335, 2656, 25135, 543, 949, 2049, 950, 519, 1268, 568, 6028, 543, 814, 1010, 1394, 5828, 563, 2467, 1131, 581, 7864, 17486, 952, 1004, 6956, 602, 938, 2623, 2073, 1256, 950, 649, 1589, 621, 568, 7874, 267, 1223, 2408, 17116, 547, 513, 2915, 269, 1280, 1383, 267, 950, 649, 10709, 936, 513, 2915, 543, 3914, 856, 513, 1688, 547, 4620, 1864, 593, 1283, 540, 1010, 2212, 267, 646, 949, 1745, 12219, 269, 6271, 1455, 2014, 540, 4250, 6888, 538, 5243, 568, 3668, 540, 23462, 563, 288, 2915, 945, 814, 2318, 2833, 609, 1114, 2010, 540, 1004, 267, 21089, 267, 543, 4025, 689, 513, 1762, 2085, 568, 1447, 2693, 547, 581, 31604, 269, 9752, 513, 21937, 547, 6001, 950, 1373, 17411, 786, 849, 948, 269, 12754, 2871, 8973, 2443, 17268, 4043, 547, 9856, 1919, 789, 3494, 3180, 1390, 4502, 269, 1452, 3688, 666, 581, 9162, 267, 1426, 267, 7633, 267, 12008, 2127, 267, 543, 1256, 1004, 269, 901, 12402, 2501, 689, 519, 1249, 602, 5243, 26731, 689, 11937, 602, 941, 3552, 543, 1185, 547, 2149, 741, 2200, 547, 7639, 563, 5194, 1434, 1259, 547, 4308, 609, 4199, 1368, 8973, 568, 547, 4123, 609, 707, 2915, 267, 27300, 519, 1843, 602, 646, 568, 1368, 8973, 585, 513, 1521, 267, 610, 1796, 2476, 689, 519, 1426, 12826, 950, 519, 2915, 568, 4189, 543, 19184, 513, 1521, 883, 621, 269, 17268, 602, 4159, 891, 5615, 616, 3843, 547, 2061, 513, 4339, 676, 1818, 519, 3463, 979, 2476, 610, 676, 2810, 519, 3845, 1063, 2933, 543, 519, 3463, 269, 1879, 29067, 1404, 267, 609, 824, 5243, 610, 741, 5411, 267, 789, 666, 1831, 5023, 344, 543, 562, 760, 9875, 982, 789, 1058, 563, 1607, 562, 6235, 568, 711, 4947, 689, 513, 21937, 602, 568, 1373, 10728, 267, 855, 835, 945, 568, 936, 3613, 574, 4327, 543, 2115, 513, 2736, 269, 681, 965, 7591, 2443, 13928, 3562, 1673, 690, 1404, 568, 513, 3339, 851, 540, 22578, 5872, 269, 13928, 1404, 568, 23769, 8165, 269, 28523, 625, 1451, 875, 547, 798, 713, 14013, 689, 741, 9905, 563, 291, 690, 1404, 666, 1831, 7920, 267, 1205, 10978, 267, 543, 2408, 10728, 267, 855, 607, 1279, 607, 1312, 5243, 616, 2348, 1187, 543, 18245, 741, 1560, 1893, 2073, 621, 666, 581, 513, 1390, 2534, 585, 23462, 543, 3635, 563, 16498, 2598, 1260, 3228, 2443, 589, 2915, 945, 568, 10393, 1332, 1782, 610, 2879, 6260, 949, 849, 581, 7210, 610, 538, 1928, 269, 32515, 21890, 514, 267, 31650, 290, 8783, 18915, 11464, 269, 12989, 616, 1455, 1560, 1893, 6786, 602, 3025, 945, 25998, 609, 5243, 1058, 1174, 563, 29819, 540, 4160, 2433, 269, 1411, 666, 2307, 707, 16943, 585, 513, 4704, 585, 513, 14468, 3662, 2623, 626, 538, 707, 1858, 269, 14424, 6601, 2644, 14424, 909, 547, 476, 276, 1114, 14981, 2427, 676, 2427, 269, 13928, 11846, 269, 13928, 8745, 4855, 518, 25873, 938, 3573, 5399, 540, 2915, 4408, 585, 6667, 269, 4855, 856, 519, 1655, 543, 10782, 3536, 585, 707, 2915, 543, 799, 547, 2057, 563, 21206, 8249, 31650, 290, 269, 5192, 29035, 538, 13928, 9751, 269, 11833, 338, 5510, 1359, 281, 9751, 26643, 269, 13928, 1234, 13808, 5288, 269, 1548, 1772, 20548, 1833, 286, 13928, 20548, 1833, 563, 293, 15903, 538, 2073, 519, 31650, 290, 568, 519, 6444, 543, 11967, 4274, 538, 9742, 267, 1072, 267, 543, 2866, 1344, 585, 5243, 269, 31650, 290, 8362, 15156, 585, 3743, 2915, 9562, 543, 568, 6131, 547, 14027, 2915, 5026, 269, 2353, 2924, 11603, 269, 0, 4910, 1545, 593, 8791, 476, 2004, 279, 454, 1692, 547, 4530, 15750, 2572, 585, 29456, 2443, 8196, 1312, 8261, 543, 12747, 4152, 2409, 547, 1711, 3015, 7270, 563, 763, 8791, 476, 2004, 279, 11621, 2443, 763, 8791, 476, 2004, 279, 9208, 585, 18329, 543, 6176, 5303, 3340, 602, 950, 513, 5313, 8116, 8843, 1344, 25274, 267, 6693, 16158, 29456, 13832, 630, 310, 7563, 294, 264, 2443, 288, 2582, 3838, 3044, 585, 1357, 1543, 10333, 267, 2919, 538, 519, 1930, 547, 2743, 519, 2115, 540, 2043, 267, 3906, 267, 543, 6608, 18368, 454, 307, 8962, 543, 7896, 454, 4089, 2004, 279, 10993, 2443, 21980, 766, 585, 8549, 8041, 593, 8668, 10333, 10220, 269, 0, 296, 991, 547, 3313, 519, 2450, 540, 519, 8546, 2348, 519, 2095, 2557, 540, 519, 5277, 630, 4248, 264, 799, 568, 476, 276, 16720, 26553, 543, 14322, 519, 8006, 540, 519, 8546, 568, 476, 275, 7825, 269, 1215, 666, 1775, 3313, 519, 2450, 540, 519, 8546, 602, 3217, 4114, 835, 8792, 585, 476, 276, 6447, 1216, 547, 2095, 2059, 519, 8546, 888, 2252, 519, 2095, 2557, 568, 476, 276, 6447, 26553, 267, 543, 596, 1616, 547, 917, 875, 1279, 513, 8546, 621, 786, 1491, 476, 272, 1295, 547, 1780, 998, 267, 596, 2461, 3927, 6998, 875, 1279, 513, 8546, 3568, 476, 276, 6447, 563, 24127, 540, 513, 12718, 568, 4399, 7032, 265, 337, 317, 273, 265, 327, 259, 563, 276, 6447, 815, 476, 4335, 271, 7825, 317, 274, 563, 303, 328, 265, 337, 317, 273, 815, 13100, 265, 273, 7825, 317, 273, 815, 476, 275, 7032, 6515, 317, 273, 454, 7312, 3259, 4061, 568, 476, 4335, 271, 270, 275, 7032, 610, 1472, 476, 6110, 7825, 269, 0, 297, 600, 531, 772, 9536, 514, 18737, 634, 6532, 540, 15990, 568, 13840, 606, 538, 531, 1329, 762, 851, 540, 3624, 269, 8550, 814, 15990, 1044, 513, 19988, 1533, 538, 6592, 1686, 269, 634, 6532, 568, 5219, 547, 607, 519, 15990, 19435, 538, 519, 11156, 540, 519, 4658, 779, 6243, 540, 3624, 269, 1306, 519, 18631, 14081, 267, 3624, 814, 20244, 11262, 519, 11662, 538, 13076, 609, 922, 840, 268, 3707, 280, 6302, 563, 1103, 1899, 609, 519, 14074, 540, 3486, 1876, 543, 6042, 267, 519, 4457, 3409, 936, 15990, 568, 13755, 2378, 728, 543, 16048, 269, 634, 1158, 814, 849, 6444, 602, 519, 6532, 568, 606, 538, 29323, 762, 851, 540, 3624, 269, 634, 2136, 8315, 630, 7419, 264, 814, 7550, 513, 6571, 547, 3398, 519, 16048, 3409, 540, 3624, 936, 15990, 563, 4002, 5239, 476, 1839, 267, 476, 3192, 272, 267, 519, 476, 2918, 628, 8400, 540, 519, 6167, 4937, 13909, 5293, 22375, 3143, 269, 476, 22550, 279, 269, 634, 6571, 9307, 538, 519, 2312, 543, 17386, 1893, 602, 15990, 568, 851, 540, 519, 4658, 779, 6243, 540, 3624, 269, 634, 6167, 4937, 13909, 17767, 602, 519, 11347, 540, 519, 6554, 540, 519, 4658, 779, 6243, 540, 3624, 568, 519, 6852, 3656, 11347, 540, 3624, 538, 519, 2136, 8315, 543, 602, 519, 4658, 779, 6243, 540, 3624, 568, 835, 540, 519, 8628, 2818, 540, 519, 6167, 8232, 7027, 267, 543, 16976, 547, 11177, 782, 2924, 547, 519, 4658, 779, 6243, 540, 3624, 543, 5431, 519, 13222, 540, 922, 2229, 607, 519, 6852, 3656, 13222, 540, 3624, 538, 519, 2136, 8315, 9257, 563, 4002, 5147, 476, 2537, 267, 476, 1220, 278, 267, 1287, 23122, 24932, 1968, 540, 519, 6167, 14465, 27411, 2173, 3019, 15653, 15990, 779, 15376, 19915, 547, 968, 21860, 519, 6167, 896, 519, 2012, 540, 15990, 5608, 19696, 22375, 476, 22550, 279, 607, 14344, 602, 15990, 568, 851, 540, 3624, 269, 634, 6167, 568, 606, 3486, 3919, 7768, 540, 19988, 2829, 269, 15990, 607, 513, 11662, 540, 3624, 568, 4625, 711, 11727, 543, 814, 1100, 1318, 547, 7119, 538, 519, 2518, 1560, 563, 26589, 2515, 519, 6167, 6571, 267, 519, 2136, 2276, 267, 538, 1614, 17434, 2475, 16644, 2088, 4004, 1172, 15530, 267, 814, 849, 17019, 602, 782, 4457, 593, 2901, 2427, 540, 519, 15990, 26463, 2226, 972, 568, 855, 835, 3624, 543, 602, 15990, 568, 513, 851, 540, 3624, 269, 634, 2475, 6554, 1140, 2851, 1390, 454, 763, 2475, 6554, 1140, 2851, 1390, 2956, 547, 922, 1894, 609, 3624, 543, 556, 3438, 919, 602, 621, 814, 1100, 9837, 540, 1102, 2590, 532, 593, 4457, 16285, 543, 16857, 8699, 267, 610, 7679, 1359, 538, 3624, 779, 4835, 12602, 267, 610, 13197, 513, 3609, 540, 2048, 18314, 932, 21590, 685, 610, 2048, 821, 3624, 267, 835, 15990, 563, 4913, 267, 519, 20422, 2475, 4218, 5928, 723, 4797, 4509, 13016, 543, 796, 334, 24810, 1894, 609, 519, 15990, 8128, 4189, 741, 1378, 1913, 2016, 547, 3624, 269, 5221, 519, 2475, 6499, 547, 2270, 519, 4473, 540, 3624, 1210, 519, 8128, 540, 15990, 269, 7201, 519, 513, 22273, 1182, 540, 519, 2706, 12741, 267, 519, 8128, 723, 849, 6854, 741, 20320, 3646, 547, 1205, 6284, 607, 513, 19988, 8513, 689, 1114, 2477, 269, 4634, 789, 616, 3843, 547, 6666, 538, 593, 519, 6855, 547, 1205, 883, 930, 3486, 3906, 543, 8041, 563, 1103, 513, 4831, 1847, 267, 3624, 4667, 547, 723, 3144, 519, 15990, 3390, 607, 519, 5377, 1899, 540, 922, 23372, 269, 5221, 3624, 814, 1100, 4781, 585, 18731, 593, 519, 3390, 540, 922, 16857, 8699, 543, 16285, 269, 3624, 267, 4061, 267, 13976, 9316, 609, 513, 2197, 593, 519, 4493, 540, 519, 1620, 540, 519, 5377, 1899, 1700, 519, 15990, 3390, 563, 2026, 513, 1267, 267, 1169, 3659, 543, 7649, 540, 3624, 2141, 3788, 1360, 18762, 543, 25442, 950, 621, 2501, 547, 7231, 609, 15990, 269, 1358, 2141, 2463, 713, 5377, 1899, 540, 4457, 23372, 269, 1717, 267, 513, 1906, 2338, 540, 2477, 6836, 547, 723, 513, 3723, 538, 1312, 519, 13122, 267, 4509, 2620, 1894, 609, 3624, 543, 8195, 2458, 24851, 609, 15990, 267, 538, 519, 2250, 269, 634, 1079, 1922, 3166, 2477, 6368, 8959, 547, 2611, 538, 519, 1434, 2835, 540, 3624, 267, 1577, 4805, 547, 581, 922, 3020, 543, 11967, 2828, 563, 1103, 519, 4657, 6381, 540, 519, 8701, 1242, 1158, 267, 15990, 814, 1044, 519, 1396, 16443, 1449, 585, 4742, 513, 3020, 543, 25442, 3659, 540, 3624, 936, 519, 1296, 269, 4634, 519, 9832, 540, 11450, 609, 3624, 4922, 4268, 689, 2197, 547, 2197, 4470, 593, 519, 1449, 269, 634, 2518, 6381, 723, 2451, 3624, 609, 1100, 4781, 855, 547, 1118, 15990, 513, 811, 3978, 3390, 950, 621, 2501, 547, 2679, 269, 15152, 519, 929, 644, 550, 5718, 540, 11788, 10579, 2701, 16554, 13201, 2088, 267, 16273, 814, 11506, 922, 1894, 609, 3624, 547, 513, 7580, 11450, 269, 4658, 540, 16273, 2503, 547, 28231, 519, 1034, 27993, 540, 519, 11506, 13218, 609, 3624, 269, 634, 1004, 723, 513, 6109, 3661, 602, 16273, 786, 2760, 3541, 841, 689, 519, 2619, 540, 1646, 607, 1279, 607, 2701, 16554, 13201, 2088, 8255, 519, 2197, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 781, 476, 273, 19315, 916, 267, 799, 568, 538, 3126, 609, 519, 824, 476, 275, 19315, 332, 19919, 267, 4758, 476, 277, 19315, 916, 269, 901, 568, 1447, 982, 476, 1321, 19315, 916, 267, 865, 519, 2619, 834, 14259, 697, 6619, 257, 4330, 1657, 630, 328, 4318, 269, 10691, 519, 2619, 3056, 547, 519, 476, 1321, 19315, 332, 19919, 264, 568, 519, 2619, 540, 2547, 5706, 775, 269, 4595, 519, 1101, 476, 275, 19315, 332, 19919, 568, 538, 3126, 609, 519, 6697, 19919, 540, 519, 824, 1079, 602, 616, 538, 6252, 267, 1287, 789, 1590, 723, 519, 1482, 1699, 13576, 998, 873, 676, 519, 8520, 1876, 13718, 3383, 594, 729, 3206, 602, 681, 273, 267, 681, 274, 543, 681, 275, 1131, 782, 723, 519, 1482, 1699, 998, 873, 267, 855, 1250, 2789, 3903, 3681, 1152, 1331, 681, 273, 267, 681, 274, 267, 543, 681, 275, 14350, 610, 681, 274, 543, 681, 275, 1927, 780, 8310, 12995, 281, 0, 258, 1548, 568, 519, 17747, 20996, 7358, 1807, 585, 11272, 15783, 2496, 296, 1174, 602, 5279, 543, 3167, 1761, 616, 31669, 2616, 1963, 538, 1627, 300, 780, 763, 7061, 7344, 11346, 585, 5279, 267, 7117, 267, 568, 3274, 3160, 547, 7117, 269, 594, 993, 27378, 602, 519, 7061, 7344, 11346, 585, 5122, 1761, 630, 10193, 1572, 900, 325, 267, 538, 713, 2796, 264, 1590, 723, 513, 12045, 538, 621, 267, 855, 993, 711, 2386, 543, 666, 1405, 3100, 547, 5616, 621, 780, 3383, 267, 1250, 2243, 568, 1018, 568, 519, 11346, 585, 3167, 1761, 286, 1280, 3236, 267, 585, 5276, 11610, 267, 621, 568, 1269, 268, 328, 315, 327, 8663, 315, 10109, 5055, 6911, 1892, 769, 1875, 3146, 26245, 643, 2065, 1627, 300, 519, 5279, 568, 711, 513, 6422, 4756, 543, 519, 1761, 568, 3274, 519, 1761, 267, 1775, 4318, 269, 538, 519, 6850, 18878, 2013, 621, 781, 519, 3167, 1761, 2053, 519, 5279, 269, 769, 7061, 2361, 3069, 513, 8106, 7274, 899, 519, 6850, 18878, 1761, 3085, 1405, 2291, 267, 835, 666, 1152, 3067, 1125, 519, 7665, 6202, 4834, 607, 513, 2898, 269, 1290, 7757, 4924, 476, 1321, 267, 476, 1001, 277, 693, 476, 276, 281, 7367, 692, 2690, 513, 1875, 8686, 776, 532, 5279, 267, 707, 3167, 1761, 267, 1269, 309, 8961, 568, 513, 1599, 540, 519, 24293, 3845, 1269, 337, 10608, 769, 17747, 23317, 267, 519, 30424, 11532, 14998, 721, 547, 17589, 513, 8106, 4082, 585, 513, 2016, 2168, 28507, 267, 1287, 6460, 621, 547, 606, 11346, 4082, 269, 1284, 917, 513, 8106, 4542, 585, 519, 3167, 1761, 1269, 309, 16868, 30879, 1677, 3489, 513, 7061, 7344, 11346, 585, 713, 1761, 267, 649, 3274, 6460, 1269, 337, 259, 547, 606, 11346, 267, 602, 568, 1269, 337, 29540, 315, 1002, 346, 337, 23201, 634, 11346, 585, 3167, 1761, 568, 1287, 1175, 4399, 1002, 346, 309, 348, 815, 966, 7268, 1002, 346, 337, 348, 7751, 780, 2690, 519, 11610, 11346, 267, 2705, 267, 649, 666, 2047, 17589, 513, 7061, 7344, 4082, 269, 6333, 519, 1863, 9325, 5951, 1599, 1384, 259, 394, 357, 3287, 25722, 264, 815, 32363, 3867, 328, 17347, 343, 910, 28911, 339, 264, 4151, 1141, 1269, 288, 259, 568, 513, 3339, 5314, 3586, 780, 8794, 891, 5013, 281, 1269, 292, 815, 554, 325, 815, 17487, 356, 22886, 259, 6902, 1269, 335, 815, 1422, 2765, 346, 327, 2410, 16575, 348, 31386, 2765, 346, 273, 11027, 384, 356, 2410, 16575, 13157, 384, 356, 330, 8961, 649, 666, 27682, 1269, 394, 357, 3287, 25722, 7751, 607, 1384, 259, 394, 357, 3287, 25722, 264, 815, 32363, 3867, 328, 21702, 18950, 29210, 910, 18264, 20972, 384, 356, 32556, 3086, 1491, 519, 12045, 540, 1269, 394, 357, 259, 609, 2463, 547, 1269, 343, 259, 630, 3286, 547, 1294, 952, 649, 666, 2097, 909, 609, 1945, 17107, 7445, 2765, 346, 4501, 480, 394, 357, 2410, 4501, 480, 343, 18098, 2765, 346, 760, 2410, 384, 356, 348, 288, 324, 3867, 328, 21702, 18950, 29210, 910, 18264, 20972, 384, 356, 3686, 7807, 2765, 346, 760, 2410, 384, 356, 348, 394, 357, 6911, 3086, 621, 781, 3478, 4277, 269, 1284, 30337, 519, 1657, 4082, 883, 1384, 7445, 2765, 346, 384, 356, 2410, 328, 4153, 2765, 346, 4501, 480, 2410, 4501, 480, 343, 348, 394, 357, 284, 335, 394, 357, 6911, 3086, 713, 568, 606, 14802, 7407, 3830, 269, 1284, 723, 606, 11346, 4399, 2765, 346, 384, 356, 2410, 328, 4153, 2765, 346, 4501, 480, 2410, 4501, 480, 343, 4151, 9117, 593, 1269, 394, 357, 259, 609, 27744, 1269, 335, 259, 799, 616, 11610, 2418, 269, 3245, 713, 267, 649, 1349, 2047, 602, 519, 11610, 11346, 1590, 581, 1384, 7445, 1002, 346, 303, 18098, 2765, 346, 384, 356, 2410, 328, 4153, 2765, 346, 4501, 480, 2410, 4501, 480, 343, 13157, 268, 328, 384, 356, 21702, 346, 4501, 480, 2410, 4501, 480, 343, 31859, 2690, 16134, 267, 296, 723, 6508, 713, 4082, 538, 835, 10155, 267, 855, 267, 540, 1576, 267, 519, 9864, 12045, 666, 581, 6905, 547, 476, 274, 291, 2230, 607, 1134, 269, 634, 2489, 4082, 585, 519, 11610, 11346, 568, 1287, 1384, 7445, 1002, 346, 303, 13157, 268, 328, 384, 356, 7268, 2765, 346, 4501, 480, 2410, 4501, 480, 343, 23180, 2765, 346, 4501, 480, 2410, 4501, 480, 344, 23180, 2765, 346, 4501, 480, 2410, 4501, 480, 345, 16585, 815, 910, 328, 384, 356, 4501, 485, 16859, 1892, 7711, 476, 273, 16591, 1721, 10472, 543, 31231, 1777, 1411, 281, 11289, 596, 585, 602, 2626, 256, 594, 993, 1175, 11842, 267, 519, 1627, 300, 11346, 585, 11610, 1281, 711, 3100, 547, 1246, 602, 4341, 267, 607, 2484, 607, 594, 666, 1294, 269, 898, 3096, 513, 4399, 10109, 5055, 259, 11346, 267, 711, 513, 12045, 609, 2463, 547, 942, 267, 607, 538, 519, 8106, 2013, 269, 1703, 568, 849, 606, 1269, 328, 259, 543, 4399, 327, 8663, 259, 538, 602, 4542, 269, 1290, 7757, 4924, 476, 1321, 267, 476, 1001, 277, 693, 476, 866, 281, 5655, 454, 1892, 7711, 21837, 281, 1284, 1152, 991, 547, 946, 519, 30424, 11532, 952, 649, 666, 1405, 6382, 2047, 17589, 513, 7061, 7344, 4082, 585, 513, 2016, 11346, 269, 769, 519, 2013, 540, 11610, 267, 2705, 267, 621, 7140, 856, 602, 649, 666, 269, 594, 723, 3773, 519, 8174, 566, 540, 519, 11610, 11346, 547, 1250, 2626, 547, 707, 3312, 2243, 269, 1290, 7757, 4924, 476, 1428, 267, 476, 1001, 277, 693, 476, 1704, 281, 7918, 0, 258, 1215, 1684, 1411, 14419, 1403, 589, 10022, 1772, 25999, 20593, 7217, 2107, 16448, 958, 20593, 7217, 2496, 1103, 824, 1913, 267, 513, 3126, 4780, 2471, 11613, 952, 621, 4780, 2471, 950, 596, 4894, 519, 20367, 851, 267, 543, 2783, 958, 952, 621, 11651, 2471, 1310, 596, 4894, 519, 20367, 851, 269, 8786, 267, 1312, 18304, 616, 13113, 689, 562, 19899, 6541, 267, 855, 952, 596, 4894, 519, 20367, 851, 538, 513, 2783, 958, 4780, 3101, 3126, 267, 621, 786, 581, 28836, 780, 1012, 1548, 1772, 1323, 25999, 20593, 7217, 10022, 2496, 1103, 6128, 267, 606, 12808, 3126, 540, 2338, 568, 1767, 547, 27721, 11613, 630, 528, 547, 581, 11613, 4780, 7217, 264, 952, 519, 2040, 540, 519, 6207, 2418, 540, 519, 14805, 1343, 568, 13113, 269, 2859, 10502, 267, 513, 1483, 610, 1950, 3126, 568, 1767, 547, 27721, 11613, 952, 585, 930, 1483, 1297, 16317, 1012, 2052, 589, 2983, 6248, 10022, 2142, 16448, 958, 20593, 7217, 2496, 763, 12166, 3126, 3980, 495, 606, 568, 11613, 4780, 7217, 952, 1923, 320, 347, 2999, 476, 272, 269, 630, 6629, 272, 264, 333, 266, 272, 562, 815, 476, 272, 6567, 476, 272, 476, 273, 1341, 476, 272, 476, 274, 6567, 476, 272, 476, 275, 1341, 898, 5205, 689, 14497, 476, 275, 269, 1789, 2630, 602, 519, 20367, 23191, 3126, 4780, 2471, 267, 865, 621, 568, 513, 2783, 958, 4780, 7217, 3126, 780, 1012, 1215, 1684, 1411, 28171, 589, 10022, 20593, 2471, 2496, 2252, 678, 2999, 476, 272, 267, 1287, 519, 3126, 4780, 2471, 269, 1403, 678, 3436, 476, 272, 267, 1287, 519, 3126, 11651, 2471, 269, 1403, 678, 815, 476, 272, 267, 519, 3597, 1449, 568, 21016, 5477, 267, 543, 519, 3126, 949, 27721, 610, 11651, 613, 269, 634, 5223, 1449, 543, 519, 3597, 1449, 616, 1312, 1759, 593, 6476, 609, 513, 12166, 3126, 267, 543, 607, 971, 789, 960, 538, 2147, 3871, 780, 1012, 1548, 6496, 16448, 958, 20593, 7217, 6399, 2496, 10666, 3690, 5296, 269, 968, 27028, 5193, 19427, 892, 1797, 513, 3126, 786, 27721, 1256, 950, 596, 1491, 519, 6207, 1871, 540, 1142, 2165, 267, 1247, 968, 30812, 819, 531, 19427, 892, 1797, 519, 3126, 4780, 2471, 855, 711, 11613, 780, 1012, 1215, 1684, 1411, 4530, 7736, 9557, 2986, 20593, 10885, 2496, 2414, 3313, 2436, 519, 1439, 15304, 338, 616, 538, 519, 8884, 540, 19427, 267, 596, 723, 547, 11690, 873, 883, 519, 1379, 3126, 630, 821, 693, 513, 942, 264, 547, 1205, 606, 12808, 3126, 269, 1411, 1287, 946, 513, 19427, 1449, 547, 3313, 2436, 610, 711, 519, 12808, 3126, 4780, 2471, 610, 11651, 2471, 780, 1012, 1772, 476, 272, 715, 20593, 7217, 2107, 667, 1853, 7217, 2496, 333, 284, 272, 606, 27721, 610, 11651, 613, 1927, 269, 562, 284, 272, 606, 4780, 2471, 269, 562, 284, 272, 606, 11651, 2471, 780, 1012, 1548, 1772, 20593, 10885, 769, 10803, 2496, 3519, 591, 10885, 540, 4351, 4632, 630, 27271, 1572, 32094, 19427, 264, 568, 1141, 513, 1305, 540, 2338, 7017, 593, 513, 1880, 1297, 269, 1879, 15932, 4632, 27721, 593, 513, 2582, 1297, 267, 789, 949, 711, 7017, 4010, 602, 1297, 267, 855, 789, 2097, 1360, 267, 1360, 2673, 780, 1012, 6496, 634, 10022, 2986, 476, 272, 715, 20593, 613, 2496, 763, 5311, 2715, 272, 14672, 348, 4780, 2471, 267, 519, 3126, 3852, 352, 272, 14672, 593, 519, 824, 1688, 11651, 2471, 269, 1924, 519, 3126, 11651, 2471, 267, 1317, 952, 596, 1039, 909, 476, 272, 270, 273, 2614, 2053, 267, 519, 2040, 786, 5555, 1205, 607, 1804, 607, 596, 899, 780, 1012, 1548, 1772, 634, 623, 10022, 2496, 14240, 540, 513, 533, 4149, 7685, 589, 533, 1606, 7685, 568, 513, 1808, 1826, 540, 12808, 3126, 269, 898, 568, 513, 3126, 540, 519, 1106, 269, 1141, 533, 666, 581, 1022, 1483, 1297, 3152, 982, 4642, 269, 18564, 602, 538, 713, 4214, 562, 786, 2141, 1491, 593, 2318, 8870, 2418, 267, 543, 519, 3126, 568, 606, 12808, 3126, 1317, 621, 568, 513, 2040, 5627, 12808, 2474, 780, 1012, 4208, 6496, 634, 15053, 4577, 10022, 667, 1853, 613, 2496, 4504, 30698, 569, 519, 1292, 4661, 1946, 519, 23191, 3126, 11651, 613, 568, 602, 3980, 478, 330, 4501, 495, 333, 284, 273, 30893, 284, 330, 272, 333, 285, 330, 1321, 330, 284, 1321, 2094, 10545, 3693, 568, 476, 1321, 330, 543, 972, 616, 737, 2609, 538, 519, 8884, 1496, 330, 282, 273, 330, 4940, 1924, 519, 23191, 2040, 585, 1022, 13113, 8884, 1496, 330, 282, 273, 330, 316, 568, 3436, 476, 271, 269, 276, 780, 1012, 1215, 1684, 1411, 2422, 18948, 4530, 2496, 763, 18948, 4530, 18859, 602, 782, 513, 19559, 316, 543, 536, 19559, 316, 616, 2318, 269, 1403, 536, 19559, 316, 4780, 2471, 267, 543, 513, 19559, 316, 27045, 321, 19559, 316, 585, 782, 562, 267, 1287, 513, 19559, 316, 849, 4780, 2471, 269, 1403, 519, 2040, 540, 536, 19559, 316, 11651, 2471, 267, 543, 513, 19559, 316, 285, 284, 321, 19559, 316, 585, 782, 562, 267, 1287, 519, 2040, 540, 513, 19559, 316, 849, 11651, 2471, 780, 1012, 1548, 1772, 634, 667, 1853, 10885, 4530, 2496, 763, 14724, 27754, 1449, 267, 1572, 519, 667, 1853, 10885, 4530, 267, 568, 1031, 547, 3313, 2436, 519, 2040, 540, 513, 3126, 11651, 2471, 1759, 593, 519, 3126, 779, 1439, 15515, 8326, 269, 898, 3112, 581, 1031, 4805, 547, 3313, 765, 614, 519, 2040, 540, 513, 3126, 4780, 2471, 269, 1403, 1929, 330, 20681, 31236, 333, 330, 19749, 510, 271, 1287, 519, 2040, 540, 519, 3126, 11651, 2471, 269, 19227, 267, 519, 1449, 568, 21016, 5477, 780, 1012, 1548, 6496, 898, 6399, 1879, 589, 10022, 667, 1853, 2471, 2496, 288, 3126, 666, 27721, 610, 11651, 613, 269, 589, 3126, 602, 4780, 2471, 814, 513, 13113, 3970, 267, 602, 568, 513, 1297, 602, 568, 14059, 269, 589, 3126, 602, 11651, 2471, 1797, 2901, 519, 9864, 18304, 723, 1100, 3970, 610, 1935, 20581, 269, 634, 3017, 568, 538, 519, 2450, 540, 519, 1455, 5223, 269, 5384, 547, 27721, 593, 513, 1906, 3126, 2439, 1012, 1548, 1772, 589, 715, 1638 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1572, 1239, 2818, 543, 519, 3252, 616, 1572, 4759, 3252, 267, 634, 4999, 540, 1239, 2818, 543, 4759, 3252, 13822, 513, 1239, 1843, 610, 3274, 606, 1843, 563, 23330, 1807, 3683, 2903, 532, 6087, 721, 547, 1118, 519, 3044, 12427, 267, 899, 1341, 267, 910, 267, 2608, 3092, 267, 547, 960, 609, 519, 3615, 540, 938, 1378, 1239, 2010, 610, 5049, 269, 1284, 666, 2328, 513, 1599, 799, 28196, 1149, 513, 1880, 11346, 865, 602, 621, 15824, 513, 1808, 5106, 950, 621, 568, 1031, 609, 519, 1843, 540, 513, 1362, 269, 0, 1607, 2376, 7710, 519, 5784, 543, 9880, 962, 383, 375, 338, 18860, 620, 29841, 541, 611, 5889, 342, 383, 362, 1996, 5375, 5784, 630, 572, 4788, 1143, 264, 827, 2257, 269, 1261, 2488, 4656, 602, 4984, 543, 2257, 723, 513, 2078, 540, 8994, 991, 269, 15215, 2115, 2257, 547, 2491, 519, 3621, 5013, 602, 2291, 538, 2470, 269, 2201, 519, 14669, 267, 2201, 519, 14669, 267, 2257, 3340, 4984, 538, 3246, 519, 5837, 4493, 585, 519, 3498, 543, 28252, 540, 713, 2257, 585, 1480, 1272, 543, 519, 1604, 269, 19732, 1465, 538, 519, 1158, 568, 513, 32563, 585, 8236, 8788, 538, 519, 1934, 12898, 267, 1317, 4984, 568, 513, 2707, 540, 1702, 543, 2257, 568, 513, 1797, 547, 4019, 3388, 8659, 538, 3909, 10752, 269, 5637, 540, 891, 786, 12927, 1142, 824, 543, 960, 1927, 267, 865, 607, 547, 3132, 2043, 945, 616, 1821, 719, 538, 4984, 543, 11636, 538, 3384, 2257, 269, 14755, 3425, 5161, 540, 1079, 2609, 267, 2168, 543, 5289, 269, 5637, 540, 891, 2609, 814, 922, 1378, 2115, 269, 8447, 2115, 666, 581, 1558, 676, 2257, 267, 6466, 519, 5289, 2115, 1558, 676, 4984, 269, 1403, 1312, 540, 891, 2115, 616, 1558, 267, 8788, 538, 713, 1158, 543, 538, 519, 1934, 12898, 786, 581, 6913, 269, 0, 5715, 2158, 807, 814, 2919, 1082, 3292, 547, 2569, 14774, 2669, 267, 799, 568, 4978, 1644, 547, 1569, 547, 14774, 1416, 267, 855, 1869, 1152, 3908, 9176, 2021, 723, 1569, 547, 1072, 9744, 269, 901, 1382, 6836, 547, 1397, 799, 4632, 602, 3565, 519, 3375, 547, 8415, 519, 14774, 1072, 1416, 269, 4635, 6281, 1239, 689, 5619, 968, 298, 10719, 10937, 19994, 18885, 534, 918, 3150, 1002, 534, 10874, 323, 553, 1046, 534, 1473, 1731, 1807, 28763, 1575, 22760, 570, 9734, 836, 1530, 1002, 476, 1001, 271, 5608, 5342, 538, 476, 1220, 277, 267, 676, 519, 2657, 10588, 8433, 267, 28763, 1575, 22760, 570, 9734, 836, 5174, 656, 523, 907, 631, 11189, 1072, 13345, 729, 15538, 540, 2347, 13494, 7614, 1416, 630, 3198, 290, 264, 6514, 267, 543, 6765, 13984, 676, 3318, 4332, 20343, 269, 769, 2165, 540, 519, 24970, 562, 7614, 1416, 630, 3198, 290, 1070, 476, 9032, 269, 277, 260, 540, 519, 17013, 1185, 693, 2547, 835, 942, 4888, 290, 547, 519, 1072, 10986, 267, 543, 476, 5952, 269, 278, 260, 547, 519, 4571, 342, 1057, 269, 13159, 4888, 290, 543, 693, 2547, 476, 275, 2053, 2743, 2564, 10986, 630, 298, 275, 264, 729, 476, 7367, 269, 276, 10065, 24822, 676, 3318, 1072, 20343, 729, 1472, 476, 3199, 269, 274, 9077, 543, 476, 3583, 269, 278, 260, 540, 519, 6765, 941, 5833, 538, 519, 1072, 9744, 269, 631, 11189, 1072, 13345, 568, 6045, 676, 4632, 21085, 630, 1464, 547, 2628, 264, 689, 2804, 10333, 267, 543, 689, 519, 1514, 10333, 676, 1702, 540, 4888, 290, 267, 1702, 540, 1981, 689, 519, 6379, 267, 1981, 540, 4758, 4332, 543, 519, 9525, 538, 3375, 1818, 1184, 547, 3442, 3028, 6765, 267, 855, 972, 729, 1100, 2168, 10333, 1223, 6045, 519, 13345, 3017, 269, 5564, 850, 767, 2079, 9863, 602, 972, 729, 513, 4351, 18448, 689, 1377, 594, 547, 1377, 4083, 267, 609, 631, 3036, 284, 273, 269, 1724, 269, 898, 1797, 972, 729, 513, 3017, 538, 11667, 540, 10758, 538, 519, 1377, 594, 547, 1377, 4083, 269, 634, 3017, 666, 581, 6045, 676, 519, 3761, 3815, 267, 799, 568, 6027, 676, 4571, 342, 1057, 5223, 547, 476, 1015, 269, 1822, 2551, 267, 609, 594, 3036, 630, 271, 269, 2190, 1107, 476, 275, 269, 1626, 1040, 4595, 519, 8390, 540, 594, 3036, 25295, 476, 272, 267, 621, 1797, 519, 8390, 1851, 519, 1016, 1673, 626, 2774, 568, 5266, 8273, 982, 519, 13865, 4756, 630, 13232, 342, 1057, 5223, 1040, 12846, 713, 1382, 1223, 2491, 602, 4571, 342, 1161, 941, 4730, 519, 1360, 1271, 1909, 538, 14774, 1072, 10333, 538, 8664, 1377, 269, 0, 301, 747, 15614, 4083, 729, 519, 2063, 512, 338, 541, 540, 6576, 896, 4936, 990, 4341, 269, 3571, 4057, 7829, 540, 10552, 344, 10732, 269, 6576, 779, 1909, 538, 2622, 2782, 594, 3366, 547, 1010, 15995, 1709, 543, 11056, 563, 763, 476, 5002, 276, 7169, 454, 20464, 476, 2420, 267, 476, 5002, 276, 910, 5412, 476, 1240, 267, 476, 5002, 276, 454, 305, 11701, 7169, 540, 476, 5002, 276, 269, 772, 19828, 602, 729, 15747, 538, 20310, 17578, 541, 22956, 4083, 547, 3801, 519, 7004, 540, 519, 6739, 2229, 689, 606, 1313, 7100, 883, 513, 13338, 21257, 563, 310, 310, 296, 538, 6576, 454, 20606, 476, 1704, 267, 476, 4489, 275, 910, 4728, 476, 274, 267, 476, 4489, 279, 454, 305, 17892, 10294, 2489, 20834, 5314, 538, 1489, 540, 28993, 269, 901, 3459, 1813, 547, 519, 26923, 540, 5246, 706, 651, 30686, 30544, 269, 634, 2898, 1448, 729, 547, 13889, 22341, 1491, 1478, 540, 513, 7361, 23577, 545, 11662, 563, 763, 8168, 5742, 7201, 6931, 523, 454, 4489, 278, 910, 5130, 476, 2641, 267, 476, 4572, 275, 454, 309, 19921, 25504, 594, 569, 747, 772, 569, 534, 990, 267, 646, 568, 1634, 676, 22255, 514, 1299, 729, 513, 6739, 12316, 267, 22267, 267, 543, 2797, 17695, 626, 269, 1261, 6039, 607, 2212, 540, 2229, 540, 8168, 6576, 689, 476, 4489, 278, 547, 476, 4572, 275, 543, 540, 519, 8168, 5742, 689, 476, 4572, 273, 547, 476, 4572, 275, 563, 763, 5988, 7169, 454, 18550, 476, 274, 267, 476, 4489, 278, 454, 305, 17892, 3323, 519, 5988, 7169, 269, 634, 5988, 7169, 729, 519, 1101, 540, 1079, 26201, 602, 3576, 1747, 538, 6576, 538, 476, 4489, 278, 269, 901, 5949, 1317, 28592, 1185, 4503, 5132, 538, 519, 5718, 2702, 540, 519, 524, 345, 30658, 12512, 563, 299, 523, 514, 543, 519, 4279, 5239, 7169, 454, 19751, 476, 2190, 267, 476, 4489, 278, 910, 5239, 476, 1839, 267, 476, 4489, 278, 454, 309, 19921, 25504, 22255, 514, 9250, 513, 5176, 1973, 1652, 19420, 546, 262, 18863, 520, 1996, 519, 667, 6373, 781, 1008, 29850, 2229, 269, 898, 3576, 1747, 998, 606, 11439, 1202, 18675, 538, 8891, 5766, 2784, 593, 476, 1839, 5239, 269, 898, 3576, 1747, 1317, 540, 8467, 538, 519, 1008, 29850, 2229, 563, 20464, 476, 1789, 267, 476, 3192, 273, 454, 293, 1430, 29361, 517, 3323, 10552, 344, 10732, 269, 12429, 29361, 517, 22555, 513, 21936, 5360, 8724, 827, 2324, 2175, 538, 519, 2749, 543, 10912, 585, 1689, 31677, 15246, 540, 796, 28534, 21127, 676, 512, 338, 30658, 7980, 538, 853, 22642, 7921, 538, 5130, 476, 5002, 276, 269, 0, 18439, 12694, 538, 28149, 454, 13202, 476, 280, 268, 1015, 1923, 476, 280, 600, 910, 476, 276, 10975, 454, 273, 2395, 13186, 454, 300, 710, 8154, 568, 513, 5070, 7901, 476, 274, 8820, 1565, 3014, 8385, 2813, 676, 16528, 3014, 14704, 4460, 639, 834, 8253, 577, 257, 6431, 5459, 543, 2663, 2919, 543, 3370, 676, 7720, 329, 836, 563, 763, 3860, 543, 2679, 3344, 540, 28149, 5512, 1453, 547, 1628, 25481, 856, 540, 1257, 3293, 18695, 538, 513, 476, 274, 291, 3545, 12147, 6383, 1158, 563, 2026, 1082, 1004, 7058, 267, 621, 779, 1175, 513, 3014, 256, 4270, 267, 713, 568, 711, 3020, 7498, 2005, 779, 513, 5691, 1158, 1141, 1453, 4497, 538, 1483, 3734, 2238, 899, 912, 23382, 520, 543, 27834, 563, 4322, 2238, 1450, 1053, 547, 1451, 1966, 6061, 543, 476, 274, 291, 20592, 1983, 563, 14399, 786, 1491, 851, 538, 9867, 11265, 543, 4702, 4255, 269, 1358, 786, 3986, 741, 9345, 998, 3853, 543, 2591, 269, 1358, 786, 960, 1927, 547, 4194, 2042, 1247, 8888, 543, 3384, 269, 1358, 786, 1451, 827, 28524, 267, 14086, 267, 827, 2556, 2200, 2877, 676, 5274, 547, 7639, 543, 1454, 811, 563, 1607, 1576, 568, 15760, 7495, 630, 289, 2590, 2659, 13574, 27620, 264, 610, 670, 790, 3776, 27620, 265, 18121, 1015, 3131, 4303, 994, 10743, 991, 547, 723, 741, 1378, 28149, 2272, 799, 568, 711, 3769, 538, 519, 3902, 540, 519, 1576, 543, 666, 581, 12349, 693, 8940, 6230, 710, 8154, 14492, 563, 265, 16301, 543, 17148, 15233, 0, 1103, 519, 1459, 1184, 267, 8988, 20543, 941, 2047, 24704, 538, 513, 2582, 1900, 676, 17196, 23735, 2747, 540, 513, 7848, 540, 20566, 267, 8988, 24277, 267, 543, 632, 542, 1242, 1216, 269, 901, 568, 1114, 689, 519, 4122, 7550, 5650, 585, 20566, 1606, 559, 591, 17560, 14835, 10282, 538, 799, 8988, 20543, 616, 24704, 676, 8600, 513, 20566, 3070, 607, 513, 5114, 5420, 1101, 269, 4935, 267, 519, 3606, 1900, 2404, 609, 519, 7041, 540, 519, 20566, 3070, 729, 17515, 269, 769, 1840, 267, 1100, 3606, 4227, 8665, 729, 8246, 269, 634, 7550, 1505, 729, 1795, 850, 543, 2786, 4464, 267, 3413, 1800, 20085, 8988, 20543, 609, 8006, 2630, 476, 1015, 269, 16354, 602, 17820, 1434, 27611, 2534, 269, 4329, 267, 3310, 540, 20566, 593, 519, 2450, 540, 519, 8988, 20543, 729, 8068, 563, 31871, 540, 3817, 1475, 274, 2008, 347, 22711, 1475, 17220, 4750, 540, 18143, 5839, 668, 26163, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 1001, 277, 2904, 476, 272, 2008, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 23305, 10334, 454, 268, 17449, 10334, 454, 268, 13188, 543, 8859, 564, 7879, 0, 1432, 10054, 616, 1500, 950, 10647, 513, 512, 23150, 286, 8575, 591, 1157, 21213, 5988, 476, 1691, 267, 2443, 454, 5445, 2901, 3111, 547, 1683, 2175, 610, 2285, 606, 18106, 1305, 540, 2175, 585, 1210, 519, 5697, 8579, 1449, 267, 610, 789, 1592, 519, 2175, 585, 1210, 519, 5697, 8579, 1449, 267, 855, 798, 711, 2638, 873, 563, 1692, 666, 649, 948, 938, 1053, 1174, 543, 14183, 891, 4170, 888, 6624, 1053, 6560, 609, 891, 2055, 281, 1548, 616, 10054, 543, 2175, 286, 1548, 267, 952, 4376, 267, 568, 519, 3017, 1063, 873, 888, 3963, 21898, 10992, 873, 286, 1548, 5205, 616, 930, 10372, 827, 875, 547, 2057, 267, 993, 601, 1640, 622, 267, 543, 4323, 519, 20887, 543, 13655, 827, 10054, 543, 2175, 269, 3399, 7216, 5606, 2397, 568, 513, 2352, 1888, 585, 1053, 269, 898, 786, 581, 1447, 18447, 952, 596, 1865, 10054, 543, 2175, 689, 519, 1360, 4098, 540, 519, 1576, 563, 13014, 10992, 873, 513, 10421, 585, 1169, 8579, 5650, 596, 798, 269, 1548, 2186, 540, 21370, 4159, 1058, 649, 1118, 2443, 513, 3046, 3113, 610, 513, 27008, 888, 763, 1883, 3390, 568, 2436, 519, 1239, 616, 28547, 610, 11050, 269, 4841, 1058, 2141, 1589, 827, 602, 1354, 789, 1711, 1022, 3113, 269, 1403, 789, 6430, 593, 513, 2650, 5750, 610, 513, 3046, 3113, 267, 2154, 602, 789, 2328, 1524, 519, 1452, 1239, 616, 28547, 563, 288, 27008, 2982, 519, 1239, 616, 21230, 21136, 543, 972, 616, 1100, 856, 11502, 269, 8074, 602, 1053, 1590, 2638, 713, 2783, 267, 711, 1175, 1533, 621, 282, 789, 991, 547, 1397, 519, 3113, 2390, 799, 789, 3490, 741, 3375, 269, 2986, 1576, 267, 891, 2175, 616, 711, 3618, 6879, 1136, 267, 610, 2565, 547, 23221, 610, 519, 1576, 563, 5445, 4196, 8806, 547, 3715, 2038, 593, 519, 1620, 602, 3257, 7194, 3340, 2312, 3206, 543, 2792, 827, 1018, 5773, 547, 4019, 543, 10992, 547, 581, 2386, 602, 1346, 5773, 616, 3617, 269, 1280, 1383, 267, 952, 972, 568, 513, 1318, 6906, 267, 1287, 519, 25355, 11532, 666, 581, 4294, 563, 763, 1482, 568, 3020, 538, 7194, 269, 1403, 1346, 10054, 616, 26991, 267, 519, 1505, 949, 3111, 269, 634, 10054, 616, 827, 5095, 543, 3631, 267, 1919, 602, 616, 7164, 543, 2356, 26968, 762, 563, 4517, 602, 6799, 721, 609, 513, 2462, 1966, 267, 1317, 649, 786, 4440, 2760, 917, 2436, 606, 13429, 568, 3020, 269, 1703, 616, 1614, 2010, 540, 10054, 281, 1284, 1590, 3274, 3398, 891, 607, 10257, 2443, 1310, 6297, 2219, 563, 303, 5055, 639, 1043, 267, 1759, 593, 2963, 269, 8771, 267, 855, 2673, 2614, 269, 1284, 917, 519, 13429, 568, 711, 3020, 267, 855, 930, 5773, 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 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 3933, 4924, 476, 1704, 476, 4905, 281, 5400, 281, 1724, 476, 1708, 271, 692, 287, 10461, 281, 29314, 1372, 1195, 324, 454, 20701, 5035, 13928, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 454, 825, 1219, 4431, 15461, 318, 12252, 4311, 267, 4971, 2187, 1038, 952, 630, 12252, 2652, 1582, 20508, 2187, 2018, 1820, 4311, 20508, 1341, 834, 568, 31661, 532, 8627, 10590, 9239, 6883, 334, 815, 13928, 2891, 289, 22857, 5602, 6883, 334, 269, 22046, 15461, 318, 12252, 2891, 289, 22857, 15419, 6883, 334, 815, 13928, 2891, 310, 514, 1723, 5602, 6883, 334, 269, 22046, 15461, 318, 12252, 2891, 289, 22857, 8442, 0, 5228, 1166, 2532, 1104, 795, 5459, 1518, 267, 7662, 454, 5228, 795, 5459, 1104, 4452, 14030, 454, 5228, 3284, 328, 269, 6135, 4768, 656, 1104, 31777, 656, 454, 5228, 3284, 328, 1104, 813, 692, 258, 4958, 5281, 519, 1101, 476, 1015, 2609, 952, 789, 616, 6251, 982, 476, 272, 269, 276, 5998, 269, 14956, 2989, 14060, 616, 17332, 1101, 454, 3698, 1205, 12749, 263, 6135, 4768, 1218, 267, 1003, 292, 12661, 267, 3193, 291, 2700, 2187, 825, 1267, 815, 11713, 825, 22356, 815, 11713, 825, 585, 630, 6135, 4768, 656, 267, 3845, 264, 538, 14060, 912, 1038, 952, 7003, 31114, 264, 2999, 1003, 292, 12661, 543, 3845, 2999, 3193, 291, 2700, 281, 1948, 594, 991, 547, 1265, 1152, 476, 1015, 14060, 267, 8307, 13962, 6251, 982, 476, 272, 269, 276, 298, 332, 666, 581, 3769, 538, 519, 1267, 3097, 2018, 952, 13962, 269, 26020, 912, 3546, 1267, 6910, 263, 6135, 4768, 656, 994, 2018, 3116, 912, 3546, 22356, 6910, 263, 6135, 4768, 656, 994, 825, 1535, 815, 476, 271, 454, 825, 1247, 7003, 31114, 264, 2999, 1003, 292, 12661, 543, 1535, 2999, 7003, 263, 4752, 1467, 264, 2433, 476, 1948, 952, 594, 723, 711, 1336, 519, 2556, 2609, 594, 666, 1331, 519, 22356, 835, 454, 2018, 1267, 6910, 263, 4752, 1467, 20572, 7481, 2018, 1535, 6834, 476, 272, 454, 825, 2132, 1267, 7531, 258, 570, 1845, 547, 1826, 4751, 5569, 547, 10581, 454, 3698, 1098, 9216, 318, 15615, 19304, 5332, 321, 2187, 453, 339, 787, 912, 453, 453, 333, 321, 815, 10581, 19304, 5332, 321, 994, 453, 21955, 912, 453, 453, 333, 321, 815, 7183, 454, 16596, 562, 321, 692, 258, 4406, 573, 919, 4164, 564, 637, 454, 3698, 19472, 318, 1706, 4461, 10857, 520, 267, 10693, 2187, 825, 2132, 910, 3445, 10922, 4234, 10922, 476, 3445, 543, 910, 5197, 10922, 10693, 10922, 476, 5197, 8528, 287, 1952, 269, 709, 974, 3488, 270, 4134, 11734, 5073, 3698, 6602, 10031, 825, 1003, 292, 12661, 815, 476, 1015, 454, 825, 3193, 291, 2700, 815, 476, 272, 269, 276, 454, 825, 1948, 5785, 955, 268, 7335, 543, 4570, 908, 3403, 1871, 454, 825, 952, 7662, 269, 16911, 10947, 3488, 26245, 10807, 543, 7662, 269, 16911, 10947, 3488, 23127, 10807, 2433, 8931, 1038, 4234, 5825, 337, 815, 1098, 9216, 318, 15615, 263, 7528, 652, 269, 16911, 10947, 3488, 26245, 29125, 1038, 10693, 5825, 337, 815, 1098, 9216, 318, 15615, 263, 7528, 652, 269, 16911, 10947, 3488, 23127, 29125, 1038, 952, 711, 630, 26245, 5825, 337, 543, 10693, 5825, 337, 543, 19472, 318, 1706, 4461, 10857, 520, 5825, 337, 267, 10693, 5825, 337, 15892, 2018, 2132, 834, 289, 611, 32369, 267, 519, 2418, 616, 711, 2953, 256, 2580, 476, 6110, 454, 825, 3116, 912, 1038, 2132, 834, 289, 611, 32369, 267, 596, 1590, 7696, 519, 476, 4234, 630, 26245, 3363, 264, 543, 10693, 630, 14075, 3363, 264, 2418, 256, 2580, 476, 6110, 692, 825, 1948, 5785, 955, 268, 7335, 32227, 543, 1402, 6819, 519, 1592, 540, 281, 630, 6135, 4768, 1218, 267, 519, 3845, 1063, 519, 3593, 4087, 543, 519, 1964, 584, 656, 994, 825, 14060, 815, 11713, 567, 1948, 689, 32227, 547, 8675, 454, 825, 609, 1930, 2891, 6135, 4768, 1218, 12459, 5459, 8442, 607, 795, 5459, 17572, 912, 1038, 795, 5459, 27916, 4768, 1218, 815, 4452, 27203, 5459, 17572, 264, 13872, 1038, 795, 5459, 17572, 25379, 10797, 825, 1948, 689, 8675, 547, 1592, 540, 31777, 1218, 3097, 825, 585, 795, 5459, 27916, 4768, 656, 538, 795, 5459, 27916, 4768, 1218, 14277, 6135, 4768, 1218, 257, 14158, 1038, 4087, 815, 795, 5459, 27916, 4768, 656, 14277, 331, 6327, 31116, 1038, 1073, 329, 27916, 4768, 656, 815, 476, 31777, 656, 10857, 517, 815, 476, 4087, 314, 271, 3910, 4234, 815, 4087, 314, 272, 16689, 14030, 476, 2228, 815, 795, 5459, 27916, 4768, 656, 9131, 26020, 11172, 2676, 14030, 476, 8560, 815, 795, 5459, 27916, 4768, 656, 9131, 16647, 983, 640, 11172, 2676, 14030, 476, 10131, 14630, 815, 795, 5459, 27916, 4768, 656, 9131, 5055, 4875, 5091, 622, 11172, 2676, 14030, 476, 2012, 815, 795, 5459, 27916, 4768, 656, 9131, 4067, 11172, 2676, 14030, 476, 20747, 327, 1662, 815, 795, 5459, 27916, 4768, 656, 9131, 4565, 584, 327, 1662, 23300, 4449, 3546, 12467, 1038, 3845, 815, 1073, 329, 27916, 4768, 656, 6155, 2700, 10857, 520, 5825, 337, 267, 10693, 5825, 337, 994, 1038, 952, 476, 3845, 2999, 3193, 291, 2700, 912, 2018, 14060, 6910, 9230, 28128, 27916, 4768, 656, 267, 3845, 4917, 13872, 825, 1948, 5785, 955, 268, 590, 15659, 3097, 8931, 825, 1948, 1034, 2442, 1101, 454, 825, 14060, 31699, 31107, 14352, 14433, 13962, 281, 13962, 314, 271, 4940, 16647, 983, 640, 16532, 9258, 815, 6936, 994, 825, 2442, 27916, 4768, 1218, 815, 1205, 12749, 263, 6135, 4768, 1218, 267, 1003, 292, 12661, 267, 3193, 291, 2700, 12467, 8931, 825, 1948, 21777, 1101, 454, 825, 14060, 31699, 31107, 14352, 14433, 13962, 281, 13962, 314, 271, 4940, 5055, 4875, 14630, 1070, 9258, 815, 6936, 994, 825, 21777, 27916, 4768, 1218, 815, 1205, 12749, 263, 6135, 4768, 1218, 267, 1003, 292, 12661, 267, 3193, 291, 2700, 994, 8931, 825, 1948, 14191, 1101, 454, 825, 14060, 31699, 31107, 284, 630, 14433, 13962, 2433, 13962, 314, 272, 316, 16532, 9258, 815, 6936, 994, 825, 14191, 27916, 4768, 1218, 815, 1205, 12749, 263, 6135, 4768, 1218, 267, 1003, 292, 12661, 267, 3193, 291, 2700, 2020, 825, 1948, 5785, 955, 268, 2037, 975, 532, 1267, 8528, 8931, 825, 1267, 815, 13634, 1038, 834, 21827, 257, 2433, 1496, 454, 2018, 13634, 3546, 834, 27583, 257, 2433, 834, 28082, 31777, 1218, 20350, 3546, 834, 6135, 4768, 1218, 257, 2433, 1496, 13962, 10947, 291, 1112, 3890, 585, 13962, 538, 2442, 27916, 4768, 1218, 2639, 2018, 7684, 2676, 2018, 13634, 3546, 834, 27583, 257, 2433, 834, 6124, 31777, 1218, 20350, 3546, 834, 6135, 4768, 1218, 257, 2433, 1496, 13962, 10947, 291, 1112, 3890, 585, 13962, 538, 21777, 27916, 4768, 1218, 2639, 2018, 7684, 2676, 2018, 13634, 3546, 834, 27583, 257, 2433, 834, 301, 792, 2421, 31777, 1218, 20350, 3546, 834, 6135, 4768, 1218, 257, 2433, 1496, 13962, 10947, 291, 1112, 3890, 585, 13962, 538, 14191, 27916, 4768, 1218, 2639, 2018, 7684, 454, 1038, 23378, 825, 7684, 692, 825, 2132, 795, 5459, 1518, 31114, 264, 0, 258, 1627, 272, 23228, 3698, 568, 318, 15957, 28840, 8029, 825, 952, 1297, 4939, 476, 273, 2652, 476, 272, 6769, 1038, 2132, 6936, 1477, 825, 3116, 6769, 1038, 2132, 8771, 5897, 258, 1627, 273, 23228, 3698, 1285, 326, 5332, 13246, 28949, 16911, 8029, 825, 1267, 815, 476, 271, 1477, 825, 585, 1775, 538, 26571, 6769, 1038, 1267, 6834, 1775, 1477, 825, 2132, 476, 1267, 270, 6352, 263, 16911, 3418, 822, 326, 5332, 13246, 263, 272, 267, 273, 3418, 822, 326, 5332, 13246, 263, 272, 267, 273, 267, 274, 267, 275, 267, 276, 10142, 258, 1627, 274, 23228, 6358, 272, 815, 703, 9272, 2891, 424, 366, 360, 423, 366, 486, 424, 356, 372, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 8442, 3418, 6358, 273, 815, 703, 9272, 2891, 423, 495, 494, 423, 366, 486, 424, 356, 372, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 8442, 10142, 20135, 815, 3403, 272, 1341, 3403, 273, 1477, 2745, 2891, 423, 495, 494, 10563, 486, 502, 14602, 502, 476, 17432, 358, 14602, 478, 4939, 338, 28990, 483, 21498, 486, 30319, 257, 4939, 20135, 3418, 5897, 258, 1627, 275, 269, 5897, 258, 1627, 276, 23228, 325, 272, 815, 1930, 2891, 11687, 17902, 2580, 1412, 342, 20298, 325, 272, 22182, 2891, 16908, 568, 1932, 2110, 267, 1411, 991, 9226, 257, 10142, 325, 273, 815, 1930, 2891, 11687, 17902, 2580, 1412, 337, 20298, 1467, 815, 535, 273, 18667, 14052, 2745, 263, 1467, 10142, 258, 1627, 277, 23228, 12528, 17750, 815, 3403, 2891, 32510, 478, 28990, 354, 17432, 510, 14091, 480, 368, 424, 504, 358, 14602, 482, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 281, 14744, 325, 815, 1930, 3488, 11687, 17902, 3299, 1412, 320, 20298, 325, 22182, 263, 12528, 17750, 3418, 325, 22182, 14052, 325, 25379, 31476, 258, 1627, 278, 23228, 325, 815, 1930, 3488, 11687, 17902, 3299, 1412, 337, 20298, 7853, 815, 535, 18667, 14052, 325, 25379, 31476, 7853, 815, 1560, 18622, 2897, 2891, 329, 6072, 14824, 335, 2814, 821, 257, 10142, 325, 815, 1930, 3488, 11687, 17902, 3299, 1412, 342, 20298, 325, 22182, 6357, 1328, 3418, 325, 25379, 3890, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 454, 5228, 17511, 1104, 667, 1112, 267, 5903, 454, 338, 903, 29624, 6910, 2891, 907, 270, 5602, 5814, 1224, 17572, 692, 293, 11223, 815, 834, 6358, 17902, 4840, 258, 293, 11223, 815, 834, 11687, 17902, 5016, 454, 3698, 8237, 8217, 9272, 281, 5903, 314, 1598, 3910, 1642, 574, 3438, 281, 1193, 264, 9847, 5903, 314, 8266, 314, 1598, 316, 14158, 825, 1267, 281, 5903, 314, 8266, 314, 1598, 14963, 815, 11713, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 2990, 815, 3403, 28827, 5560, 601, 574, 3438, 994, 2018, 1267, 6910, 9272, 11468, 6570, 7481, 2018, 3403, 815, 3403, 314, 6570, 266, 272, 281, 2639, 1038, 4849, 28759, 912, 2018, 2736, 454, 825, 1267, 6910, 9272, 994, 825, 2132, 1267, 7531, 6358, 815, 1224, 17572, 18667, 17572, 263, 293, 11223, 994, 753, 9955, 815, 8237, 8217, 9272, 267, 834, 5602, 29798, 281, 5903, 314, 1598, 316, 815, 11713, 8999, 272, 281, 703, 815, 476, 271, 454, 8999, 273, 815, 476, 271, 454, 1721, 513, 538, 4267, 912, 825, 10917, 815, 1412, 8339, 21860, 5416, 994, 825, 10917, 815, 834, 2668, 21860, 5560, 1112, 269, 5228, 12399, 6025, 11391, 4917, 825, 2164, 6910, 6025, 11391, 994, 825, 2040, 272, 6834, 7003, 6025, 11391, 9239, 1721, 1895, 538, 4267, 912, 825, 1268, 18045, 815, 7003, 14116, 4981, 994, 825, 1268, 815, 1895, 314, 271, 2639, 825, 585, 2243, 538, 1268, 912, 1038, 524, 13700, 815, 476, 271, 454, 1038, 585, 1268, 18425, 538, 1895, 314, 272, 281, 14158, 2018, 952, 2243, 538, 1268, 18425, 912, 3546, 524, 13700, 6834, 476, 272, 454, 1038, 952, 524, 13700, 2652, 1268, 18045, 268, 272, 912, 2018, 2040, 273, 6834, 476, 272, 7531, 2745, 2891, 306, 9331, 476, 272, 281, 14307, 2040, 272, 994, 2745, 2891, 306, 9331, 476, 273, 24333, 2040, 273, 994, 0, 5035, 14871, 912, 567, 1219, 6449, 8181, 9191, 1345, 267, 3593, 16182, 267, 27024, 2187, 11434, 1948, 2154, 891, 1079, 547, 1711, 1843, 454, 11434, 1582, 269, 12528, 16182, 815, 3593, 16182, 454, 11434, 1582, 30994, 20713, 815, 27024, 454, 11434, 1948, 1305, 513, 9949, 1871, 602, 649, 917, 6238, 519, 1482, 585, 1169, 1843, 454, 11434, 1582, 8807, 4772, 619, 815, 476, 271, 454, 11434, 1582, 8807, 4772, 532, 815, 476, 271, 692, 567, 1219, 1246, 4311, 267, 12528, 2187, 11434, 3593, 8807, 4772, 619, 6834, 476, 272, 454, 11434, 1582, 8807, 4772, 532, 6834, 476, 272, 692, 12528, 318, 272, 815, 14871, 2891, 9826, 2580, 834, 297, 27889, 5602, 12528, 318, 273, 815, 14871, 2891, 16573, 2580, 834, 17556, 341, 773, 15419, 12528, 318, 272, 8807, 4772, 263, 12528, 318, 273, 2020, 2745, 263, 12528, 318, 272, 8807, 4772, 532, 994, 2745, 263, 12528, 318, 272, 8807, 4772, 619, 2020, 2745, 263, 12528, 318, 273, 8807, 4772, 619, 994, 2745, 263, 12528, 318, 273, 8807, 4772, 532, 2020, 0, 22322, 258, 5384, 29203, 2433, 744, 3799, 264, 630, 2171, 723, 547, 1780, 998, 339, 1169, 3693, 540, 3529, 8094, 258, 6611, 29203, 2433, 744, 3799, 264, 630, 13434, 2720, 542, 10518, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 649, 1590, 723, 3230, 320, 10983, 815, 476, 273, 2330, 543, 4061, 3230, 320, 3709, 328, 268, 272, 6525, 1590, 581, 1507, 267, 2094, 972, 568, 1100, 4163, 883, 2990, 3230, 328, 21974, 1809, 2094, 3230, 320, 3709, 328, 268, 272, 6525, 568, 849, 835, 540, 6695, 346, 276, 267, 272, 267, 273, 315, 6525, 267, 543, 621, 3112, 849, 581, 3230, 272, 18079, 621, 1590, 581, 3230, 273, 21974, 901, 2982, 602, 519, 3230, 272, 18079, 8259, 621, 5526, 538, 519, 1318, 2865, 2990, 267, 1590, 581, 547, 519, 2451, 540, 519, 3230, 273, 2330, 282, 621, 3112, 581, 547, 519, 2451, 540, 519, 3230, 276, 21974, 6684, 267, 952, 3230, 320, 10983, 815, 476, 273, 2330, 1287, 3230, 321, 10983, 815, 476, 276, 18079, 1317, 3230, 275, 2330, 568, 7543, 267, 865, 519, 3230, 273, 2330, 1590, 581, 547, 519, 2451, 540, 513, 1804, 7857, 267, 799, 1590, 581, 519, 3230, 276, 21974, 5381, 7744, 7472, 1100, 23061, 593, 519, 2990, 540, 519, 3230, 276, 2330, 282, 621, 1223, 581, 547, 519, 2451, 540, 513, 1507, 7857, 630, 514, 799, 2013, 621, 29156, 547, 3230, 272, 2330, 264, 610, 513, 1804, 7857, 630, 514, 799, 2013, 621, 29156, 547, 3230, 273, 2330, 1040, 1284, 666, 17412, 891, 4681, 607, 5205, 1384, 11377, 8218, 15204, 2410, 743, 348, 1422, 3667, 18097, 13424, 348, 1299, 1422, 3667, 346, 1729, 519, 2451, 540, 348, 8607, 1422, 327, 1467, 476, 272, 1299, 476, 272, 267, 476, 273, 267, 1422, 3667, 346, 754, 348, 8607, 476, 273, 1299, 476, 276, 8607, 476, 276, 1299, 476, 272, 267, 273, 267, 276, 12101, 3667, 346, 754, 348, 1422, 754, 15204, 15732, 2080, 968, 754, 892, 1797, 602, 519, 8612, 7857, 1223, 581, 519, 1318, 2865, 780, 13010, 267, 519, 2451, 7857, 540, 3230, 288, 2330, 1590, 581, 1507, 630, 528, 3116, 972, 1131, 581, 513, 4163, 538, 519, 2451, 2865, 1747, 543, 3230, 273, 288, 2330, 1131, 723, 476, 275, 9704, 3079, 540, 476, 274, 264, 865, 621, 1590, 581, 2901, 3230, 272, 2330, 610, 3230, 273, 21974, 898, 568, 711, 2182, 547, 1294, 689, 713, 3349, 602, 519, 9704, 1590, 581, 538, 519, 1931, 3230, 10219, 2330, 610, 3230, 25172, 18079, 543, 8197, 267, 1312, 540, 1346, 2338, 723, 519, 2838, 3959, 281, 3230, 10219, 318, 280, 24206, 476, 273, 815, 476, 25172, 318, 280, 18079, 543, 3230, 25172, 318, 280, 24206, 476, 273, 815, 476, 24423, 318, 280, 29634, 1607, 729, 513, 2241, 1383, 267, 855, 538, 811, 7294, 2665, 621, 568, 5363, 547, 2721, 519, 1931, 10148, 607, 513, 3113, 269, 14597, 649, 2721, 513, 3113, 609, 835, 14584, 585, 1142, 7857, 267, 543, 835, 3606, 14584, 547, 2099, 519, 1439, 540, 519, 1003, 1968, 269, 634, 3113, 814, 606, 6316, 689, 14584, 3230, 341, 2330, 547, 3230, 341, 685, 2330, 8164, 3230, 341, 2330, 666, 2408, 547, 519, 2451, 540, 3230, 341, 685, 21974, 3973, 519, 3113, 6537, 585, 519, 3349, 1657, 5654, 899, 713, 1384, 288, 476, 274, 18251, 1003, 1968, 609, 3959, 3230, 303, 318, 280, 2330, 14687, 547, 513, 2619, 538, 713, 3113, 602, 6238, 693, 835, 540, 519, 1875, 14706, 1507, 9704, 630, 5658, 539, 538, 4544, 1070, 7475, 693, 519, 2699, 6843, 6825, 2048, 754, 8730, 543, 11564, 1142, 6843, 4010, 2899, 269, 6270, 513, 2619, 568, 1572, 554, 15071, 1014, 269, 30052, 267, 1582, 2000, 334, 3591, 2760, 2049, 538, 513, 554, 15071, 1014, 2619, 267, 865, 649, 786, 522, 2466, 873, 689, 2104, 12222, 780, 3086, 649, 786, 2015, 519, 7857, 1305, 3230, 277, 4391, 18079, 1586, 3490, 476, 280, 269, 1323, 2079, 2147, 547, 519, 2062, 4707, 2636, 721, 547, 4020, 519, 1739, 3113, 1384, 2080, 621, 568, 5612, 2312, 602, 519, 1152, 554, 15071, 1014, 2619, 568, 3230, 274, 268, 278, 268, 277, 10559, 3667, 346, 754, 6525, 267, 543, 8197, 267, 3230, 4391, 277, 318, 280, 24206, 476, 273, 815, 476, 278, 8287, 318, 280, 29634, 1103, 2489, 972, 1522, 581, 2789, 8320, 540, 513, 7857, 267, 543, 865, 2789, 9136, 13042, 609, 602, 7857, 269, 5811, 540, 519, 3230, 271, 267, 271, 267, 271, 2330, 2013, 7472, 513, 3113, 609, 1100, 3656, 1376, 9136, 543, 865, 1100, 3435, 267, 8259, 3056, 4642, 525, 616, 4847, 267, 538, 799, 2013, 3230, 1822, 2330, 568, 513, 9985, 4570, 3070, 269, 5811, 540, 519, 3230, 279, 267, 279, 267, 279, 2330, 2013, 7472, 513, 3113, 609, 1100, 2619, 547, 519, 1439, 6843, 543, 865, 1100, 3435, 269, 1452, 1079, 24735, 3270, 2408, 585, 782, 3230, 305, 2330, 543, 782, 3230, 333, 18079, 543, 649, 786, 11716, 873, 689, 1631, 593, 780, 14303, 9506, 547, 938, 5571, 1383, 267, 3230, 10441, 273, 2330, 538, 3490, 476, 279, 267, 649, 1294, 602, 3230, 272, 2330, 543, 3230, 273, 2330, 1590, 5595, 547, 3230, 273, 2330, 543, 3230, 275, 18079, 865, 1590, 581, 547, 519, 2451, 540, 1507, 9704, 267, 855, 3230, 275, 2330, 543, 3230, 271, 2330, 666, 5595, 547, 2901, 3230, 271, 2330, 610, 3230, 272, 2330, 543, 865, 1223, 581, 547, 519, 2451, 540, 4376, 269, 3371, 519, 10148, 616, 865, 561, 1314, 602, 519, 3113, 3085, 1406, 948, 721, 7522, 873, 1524, 1454, 1384, 25332, 6326, 602, 519, 1152, 15561, 883, 519, 476, 275, 568, 689, 476, 271, 267, 865, 602, 519, 476, 275, 1590, 1246, 519, 476, 271, 267, 543, 602, 519, 3003, 1297, 1590, 2253, 609, 476, 272, 610, 476, 273, 267, 649, 666, 26246, 519, 3435, 1384, 8587, 476, 10441, 273, 454, 6344, 275, 454, 14225, 272, 454, 13975, 275, 692, 2252, 3056, 4642, 525, 616, 4847, 649, 723, 849, 912, 8587, 476, 271, 6078, 273, 454, 271, 5655, 272, 692, 5472, 540, 891, 616, 3435, 538, 3490, 476, 279, 780, 258, 634, 2013, 540, 3230, 305, 284, 1015, 9681, 3086, 649, 2490, 547, 938, 1292, 1966, 267, 3435, 538, 3490, 476, 1015, 780, 2414, 1265, 782, 519, 3435, 540, 3259, 476, 277, 3340, 606, 21773, 3130, 540, 4130, 3435, 267, 799, 267, 952, 789, 11478, 267, 1522, 581, 6677, 22760, 730, 883, 513, 3070, 540, 3259, 476, 277, 269, 901, 568, 1317, 938, 2079, 540, 519, 7857, 5036, 602, 666, 2408, 538, 513, 3070, 17648, 602, 519, 9704, 616, 7989, 3176, 7814, 1227, 282, 602, 568, 267, 519, 32545, 3230, 303, 2330, 602, 649, 2808, 1185, 1152, 835, 4783, 1142, 269, 1403, 649, 1685, 519, 2555, 692, 2467, 616, 1100, 4130, 3435, 267, 855, 547, 6961, 602, 519, 3259, 476, 277, 3435, 616, 8766, 267, 649, 1590, 5659, 519, 2665, 585, 4130, 3230, 333, 2330, 543, 4341, 873, 856, 269, 1284, 1631, 3132, 513, 2347, 2079, 540, 519, 3490, 476, 1015, 2013, 609, 3230, 305, 284, 1015, 2330, 543, 3230, 333, 315, 548, 476, 277, 21974, 1280, 3230, 333, 284, 272, 2330, 972, 568, 1152, 519, 24735, 3070, 540, 3230, 271, 18079, 799, 649, 23304, 731, 269, 630, 763, 2243, 4280, 585, 513, 2318, 1297, 19037, 24355, 1012, 3230, 333, 284, 273, 9681, 2690, 3230, 333, 284, 273, 18079, 649, 1616, 547, 1265, 3435, 540, 3230, 274, 320, 10983, 1341, 642, 1422, 25406, 476, 271, 315, 335, 7116, 346, 1015, 6525, 1141, 3230, 341, 2330, 568, 513, 1079, 19229, 25231, 2280, 1297, 267, 835, 540, 3230, 876, 318, 273, 267, 476, 4905, 318, 273, 267, 2330, 610, 3230, 1556, 318, 273, 21974, 570, 5429, 908, 519, 2418, 540, 3230, 320, 10983, 2330, 543, 3230, 341, 22174, 28381, 271, 267, 272, 267, 274, 315, 6525, 602, 4194, 713, 3830, 649, 1205, 1384, 11377, 8218, 15204, 2410, 764, 322, 348, 642, 261, 513, 10983, 8607, 1422, 327, 1467, 476, 271, 1299, 476, 271, 8607, 476, 272, 261, 476, 274, 8607, 476, 274, 261, 476, 280, 8607, 1422, 754, 15204, 15732, 2171, 666, 23304, 731, 519, 3230, 341, 284, 271, 2330, 543, 3230, 341, 284, 274, 2330, 3435, 1317, 519, 5449, 11729, 519, 24735, 3070, 3230, 876, 2330, 543, 519, 8545, 11729, 519, 20060, 1828, 3230, 4200, 21974, 1924, 519, 1152, 7872, 649, 991, 547, 8495, 2417, 568, 3230, 320, 10983, 815, 476, 274, 267, 642, 815, 476, 272, 18079, 799, 14687, 547, 519, 7857, 5311, 3230, 3607, 2330, 281, 8935, 17331, 3230, 274, 2330, 3947, 721, 3230, 277, 2330, 543, 30945, 3230, 277, 18079, 7132, 513, 4163, 267, 3947, 721, 3230, 274, 2330, 1586, 780, 3719, 950, 649, 9184, 3634, 540, 799, 9704, 1590, 581, 2451, 540, 799, 267, 649, 1294, 602, 972, 568, 1100, 3070, 609, 1175, 3230, 274, 2330, 543, 3230, 277, 18079, 1317, 519, 3113, 649, 1205, 267, 2899, 1582, 2000, 334, 3591, 616, 17515, 267, 5654, 899, 713, 1384, 6518, 15069, 814, 1100, 554, 15071, 1014, 2619, 269, 4935, 972, 568, 1100, 3070, 585, 3230, 305, 284, 1015, 267, 562, 284, 273, 29634, 1012, 3230, 333, 284, 274, 9681, 2690, 3230, 333, 284, 274, 2330, 649, 991, 547, 4194, 519, 3830, 3230, 278, 320, 10983, 1341, 642, 1422, 25406, 476, 271, 315, 335, 7116, 346, 1015, 6525, 1141, 3230, 341, 2330, 568, 513, 25231, 2280, 1297, 538, 6695, 346, 271, 12101, 24126, 476, 278, 315, 6525, 267, 4481, 835, 540, 3230, 271, 267, 272, 267, 274, 267, 2330, 610, 3230, 278, 21974, 4595, 3230, 278, 2330, 543, 3230, 1015, 2330, 616, 5266, 6305, 267, 585, 1142, 3230, 341, 2330, 972, 568, 513, 2582, 3230, 320, 10983, 2330, 602, 31758, 519, 3830, 269, 570, 5429, 908, 519, 2009, 2418, 540, 3230, 320, 10983, 2330, 607, 1354, 267, 543, 713, 942, 522, 2466, 1154, 9343, 609, 1100, 3070, 267, 649, 723, 1384, 11377, 8218, 15204, 2410, 31014, 331, 348, 642, 1299, 513, 10983, 1299, 1422, 3667, 18097, 580, 1080, 27874, 1422, 327, 1467, 476, 271, 261, 476, 271, 1299, 476, 1822, 11138, 476, 272, 261, 476, 278, 1299, 476, 278, 4366, 8607, 476, 274, 261, 476, 272, 1299, 476, 10219, 11138, 476, 278, 261, 280, 1299, 476, 15886, 11138, 1422, 754, 15204, 15732, 763, 7857, 9696, 3230, 271, 267, 271, 267, 271, 2330, 543, 3230, 280, 267, 280, 267, 280, 2330, 6556, 24735, 3435, 610, 20060, 30055, 607, 8912, 267, 543, 649, 786, 522, 2466, 873, 538, 519, 2104, 269, 634, 824, 1079, 3515, 2303, 519, 7857, 5036, 3230, 272, 267, 273, 267, 276, 2330, 543, 3230, 275, 267, 278, 267, 279, 18079, 1312, 540, 799, 14543, 519, 968, 15957, 11224, 1804, 892, 4341, 780, 1607, 2079, 3652, 856, 519, 7872, 540, 513, 7857, 1305, 609, 3230, 320, 318, 271, 1422, 1729, 513, 318, 272, 1422, 1729, 513, 318, 273, 1422, 1729, 513, 318, 272, 18079, 855, 621, 1281, 711, 4625, 4341, 856, 513, 476, 274, 18251, 3070, 267, 2094, 835, 1223, 581, 5833, 676, 6677, 22760, 908, 513, 835, 18251, 543, 513, 1079, 18251, 3070, 267, 610, 1614, 835, 18251, 3435, 269, 1717, 267, 649, 917, 676, 1631, 602, 1100, 835, 268, 610, 1079, 18251, 3435, 2291, 269, 4475, 972, 616, 1100, 476, 274, 18251, 3435, 538, 3490, 476, 1015, 780, 1012, 3230, 333, 284, 275, 9681, 2690, 3230, 333, 284, 275, 2330, 519, 12044, 3830, 568, 3230, 1428, 320, 10983, 1341, 642, 1422, 25406, 476, 271, 315, 335, 7116, 346, 1015, 6525, 1141, 3230, 341, 2330, 568, 513, 476, 275, 19229, 25231, 2280, 1297, 267, 835, 540, 6695, 346, 271, 267, 272, 267, 274, 267, 276, 267, 278, 267, 1428, 315, 6525, 269, 901, 568, 513, 2370, 811, 7294, 1317, 6695, 326, 7251, 263, 1428, 267, 1015, 9385, 928, 476, 272, 21974, 570, 5429, 908, 519, 2009, 7857, 5036, 267, 649, 1205, 1384, 11377, 8218, 15204, 2410, 13062, 337, 331, 348, 513, 10983, 1299, 476, 1428, 320, 10983, 261, 642, 1299, 1422, 3667, 18097, 580, 1080, 27874, 1422, 327, 1467, 476, 271, 1299, 476, 271, 1299, 476, 271, 1299, 476, 1822, 271, 11138, 476, 272, 1299, 476, 276, 1299, 476, 276, 1299, 476, 10219, 271, 11138, 476, 272, 1299, 476, 276, 1299, 476, 1428, 1299, 476, 15389, 276, 11138, 476, 273, 1299, 476, 271, 1299, 476, 271, 1299, 476, 27886, 277, 11138, 476, 274, 1299, 476, 276, 1299, 476, 276, 1299, 476, 4391, 275, 280, 11138, 476, 274, 1299, 476, 276, 1299, 476, 1428, 1299, 476, 23841, 272, 11138, 476, 275, 1299, 476, 271, 1299, 476, 271, 1299, 476, 4366, 277, 273, 11138, 476, 276, 1299, 476, 276, 1299, 476, 276, 1299, 476, 26341, 273, 11138, 476, 276, 1299, 476, 276, 1299, 476, 276, 1299, 476, 276, 1724, 278, 11138, 476, 277, 1299 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 547, 8495, 267, 1174, 267, 2491, 267, 4766, 267, 543, 11015, 936, 519, 2470, 540, 943, 984, 5362, 4534, 1010, 1378, 267, 543, 602, 540, 824, 24412, 269, 19395, 1744, 11921, 568, 513, 21917, 267, 32058, 626, 267, 543, 4116, 267, 543, 568, 513, 4759, 540, 513, 22064, 1920, 281, 1010, 7015, 267, 28615, 1744, 11921, 267, 568, 513, 31075, 543, 17076, 282, 1010, 4651, 729, 5261, 1744, 11921, 267, 585, 1082, 1296, 9375, 540, 519, 1715, 3840, 518, 18225, 269, 1306, 513, 22459, 543, 4081, 267, 19395, 1744, 11921, 568, 834, 338, 22066, 1701, 1656, 2943, 267, 1010, 1272, 568, 16094, 3908, 676, 989, 528, 7469, 14113, 267, 834, 320, 19231, 540, 2238, 4547, 827, 676, 513, 4250, 540, 2348, 11784, 2589, 538, 3871, 538, 799, 835, 568, 2484, 689, 948, 610, 9101, 568, 9228, 547, 581, 2352, 257, 630, 1724, 1040, 634, 2278, 954, 933, 2314, 6810, 602, 17412, 1010, 3573, 13220, 593, 519, 4339, 1922, 2775, 5114, 267, 4720, 267, 2634, 543, 2247, 267, 22506, 781, 6436, 593, 943, 14113, 734, 5976, 1010, 2123, 1686, 267, 2523, 607, 646, 11099, 621, 12211, 547, 1010, 943, 14113, 563, 1103, 713, 835, 957, 1404, 267, 607, 513, 1267, 540, 513, 1007, 6646, 267, 513, 1647, 27070, 4807, 3957, 1546, 4011, 1695, 530, 1389, 909, 1310, 7836, 5176, 476, 1789, 1296, 538, 513, 834, 19265, 1701, 2859, 10502, 267, 1352, 729, 538, 513, 5326, 6438, 1533, 540, 23387, 1145, 610, 12012, 4656, 602, 24125, 2421, 267, 1200, 4387, 267, 4016, 547, 607, 834, 320, 2186, 540, 14522, 1701, 263, 335, 269, 476, 4097, 264, 1546, 4011, 1695, 14659, 602, 1352, 814, 1152, 1044, 834, 553, 2748, 257, 585, 513, 2110, 1247, 267, 865, 1352, 12134, 827, 1200, 3237, 543, 11078, 267, 607, 952, 1352, 941, 1869, 519, 15730, 1352, 1121, 20047, 269, 24125, 2421, 1028, 999, 1200, 602, 1200, 2247, 814, 1044, 17735, 782, 602, 942, 267, 4352, 646, 814, 1044, 693, 1200, 2427, 267, 8165, 547, 1832, 1200, 9800, 281, 834, 5278, 4941, 547, 30565, 596, 269, 594, 17246, 1228, 621, 1701, 630, 335, 269, 476, 4097, 994, 4462, 322, 1643, 1018, 547, 2161, 267, 6754, 710, 267, 1546, 4011, 1695, 781, 7820, 11078, 267, 1631, 13788, 519, 6413, 4055, 269, 24651, 6754, 710, 781, 3377, 540, 519, 1920, 267, 1546, 4011, 1695, 13290, 547, 10146, 1018, 814, 5949, 267, 855, 621, 4667, 1175, 1932, 29737, 269, 3973, 24125, 2421, 8761, 602, 6754, 710, 814, 1044, 1010, 7385, 585, 811, 982, 476, 736, 1296, 269, 1546, 4011, 1695, 2833, 519, 6821, 540, 1200, 9637, 14656, 538, 267, 834, 4131, 803, 856, 269, 17547, 621, 269, 2913, 803, 856, 269, 17547, 621, 269, 17547, 621, 1701, 630, 335, 269, 476, 4343, 264, 22582, 267, 1352, 7024, 547, 519, 6643, 543, 26564, 3388, 1352, 814, 4862, 269, 834, 296, 1589, 594, 723, 519, 2339, 538, 8167, 2437, 1352, 20147, 563, 1103, 519, 2140, 6648, 267, 13343, 3240, 16114, 328, 6210, 645, 20403, 3081, 281, 834, 2414, 2328, 519, 1650, 540, 1250, 9997, 1315, 594, 10250, 519, 16563, 543, 6149, 1315, 540, 4563, 12379, 320, 1701, 901, 4015, 540, 9954, 11438, 519, 5467, 883, 519, 10239, 543, 23898, 540, 7187, 1715, 6792, 267, 543, 547, 519, 5628, 334, 1141, 519, 10564, 543, 1010, 1920, 2661, 269, 1358, 616, 9954, 2407, 540, 10071, 543, 1995, 267, 540, 519, 834, 13512, 4868, 32732, 8929, 30516, 26005, 257, 602, 2611, 538, 834, 3240, 25427, 338, 267, 17987, 267, 543, 9240, 514, 257, 689, 606, 10071, 609, 21634, 6559, 538, 476, 2735, 279, 9497, 5804, 20222, 547, 13458, 19823, 543, 519, 26718, 540, 513, 13265, 547, 519, 31024, 540, 3552, 27120, 9497, 12385, 24521, 547, 8080, 11354, 19823, 543, 519, 13249, 1650, 540, 834, 14976, 590, 777, 334, 2437, 519, 29838, 3751, 563, 289, 20403, 779, 3197, 2661, 2673, 547, 519, 2244, 267, 2673, 547, 519, 10239, 267, 543, 3006, 3544, 519, 1876, 9497, 307, 5557, 12359, 3266, 20257, 1452, 9954, 7198, 547, 519, 5208, 543, 21817, 540, 5628, 334, 1272, 267, 855, 849, 547, 922, 1648, 543, 7772, 269, 645, 20403, 779, 4126, 5170, 834, 1729, 11457, 609, 519, 7122, 1315, 2427, 676, 2427, 609, 922, 3860, 31685, 4799, 309, 1068, 4379, 639, 543, 25048, 7431, 568, 513, 1650, 540, 6822, 25934, 543, 26760, 689, 29191, 573, 781, 5450, 18982, 4680, 267, 513, 2442, 2707, 540, 11052, 585, 476, 1704, 628, 2540, 10656, 26719, 269, 20539, 4379, 639, 267, 519, 4936, 5601, 540, 12405, 543, 1689, 267, 10924, 2789, 1368, 2478, 607, 646, 13986, 547, 530, 5622, 519, 973, 531, 31842, 7949, 3574, 562, 8233, 25048, 7431, 269, 717, 13960, 1068, 4469, 514, 1188, 814, 13556, 519, 4090, 538, 519, 10470, 1222, 950, 20539, 4379, 639, 267, 24320, 2213, 607, 606, 2025, 4807, 267, 568, 6340, 593, 1010, 1378, 15773, 547, 513, 581, 332, 4310, 25048, 7431, 269, 634, 1079, 5515, 616, 13497, 20399, 547, 519, 4395, 540, 519, 4605, 7077, 538, 513, 17401, 3989, 2230, 543, 616, 1305, 1996, 513, 4158, 4282, 540, 3529, 959, 16218, 543, 6534, 5072, 563, 4407, 519, 4259, 568, 15982, 543, 519, 5515, 616, 865, 2673, 602, 741, 19704, 3592, 5905, 267, 519, 3845, 1063, 873, 568, 29267, 626, 752, 762, 269, 25048, 7431, 267, 27206, 593, 519, 1318, 267, 568, 17814, 607, 513, 678, 28854, 1950, 16845, 1762, 4807, 267, 12461, 14688, 268, 604, 8049, 569, 585, 519, 4259, 1673, 5962, 538, 3043, 2893, 514, 267, 609, 513, 3638, 569, 25918, 1229, 13938, 823, 269, 2701, 682, 753, 547, 1200, 2451, 267, 1200, 2638, 20399, 8185, 883, 1200, 1688, 267, 1200, 22401, 9859, 1055, 883, 519, 3845, 269, 6787, 1352, 568, 6947, 32348, 547, 1200, 13959, 610, 5326, 1176, 4503, 538, 1200, 1378, 4555, 568, 7543, 547, 20559, 563, 4002, 519, 2451, 267, 20539, 4379, 639, 568, 17814, 538, 4571, 3766, 652, 675, 267, 834, 615, 257, 1318, 1688, 3001, 4724, 25048, 7431, 282, 1200, 2451, 267, 7432, 1394, 547, 9887, 269, 769, 4334, 609, 25048, 7431, 781, 32249, 1950, 542, 267, 20539, 4379, 639, 262, 21432, 2960, 543, 2934, 7703, 519, 2963, 540, 2085, 269, 1548, 3884, 1405, 5612, 1978, 267, 2705, 267, 568, 20539, 4379, 639, 262, 4008, 269, 2755, 519, 15309, 23469, 7802, 543, 2881, 3316, 6438, 2212, 323, 816, 2303, 513, 4807, 781, 23157, 267, 972, 568, 513, 812, 569, 2298, 538, 1312, 519, 3068, 543, 3946, 269, 4469, 514, 1188, 267, 16706, 1010, 2528, 781, 10508, 538, 4638, 7961, 340, 754, 334, 267, 31758, 519, 678, 1497, 585, 519, 6297, 20626, 945, 711, 1182, 519, 6972, 6529, 602, 682, 753, 1996, 519, 3330, 540, 20539, 4379, 639, 262, 25427, 563, 10048, 21731, 630, 290, 1815, 23158, 681, 1054, 264, 513, 12016, 945, 1568, 538, 513, 24328, 1770, 267, 22168, 519, 23139, 2669, 540, 1200, 11509, 5067, 267, 661, 4614, 3316, 267, 607, 646, 669, 1162, 513, 1286, 12946, 519, 4583, 957, 816, 267, 670, 6373, 10162, 10937, 630, 11321, 13453, 623, 1563, 525, 1070, 689, 7247, 646, 6499, 606, 1313, 1748, 269, 661, 4614, 3316, 1185, 1279, 539, 547, 917, 827, 1010, 15534, 2465, 4651, 267, 855, 1010, 3993, 1185, 2141, 15189, 547, 2995, 1864, 269, 3571, 2295, 568, 1098, 680, 5896, 267, 543, 2494, 21731, 568, 695, 13593, 676, 16236, 267, 3762, 1200, 960, 267, 543, 5036, 856, 547, 9156, 1200, 2250, 563, 25332, 612, 539, 609, 1200, 5067, 779, 18930, 687, 267, 2494, 21731, 18162, 519, 4583, 957, 816, 267, 670, 6373, 267, 945, 3947, 1200, 513, 2816, 269, 2701, 9060, 2025, 2828, 538, 519, 896, 16447, 267, 543, 513, 4190, 562, 684, 267, 28266, 630, 303, 523, 2946, 331, 2100, 30434, 1070, 945, 1568, 609, 519, 4057, 543, 4566, 547, 979, 13383, 269, 17652, 621, 19674, 602, 661, 4614, 3316, 779, 4651, 568, 834, 301, 2088, 2437, 513, 1098, 4034, 924, 14382, 3482, 267, 543, 602, 28266, 568, 711, 1152, 9176, 676, 1864, 17017, 267, 1352, 814, 849, 26438, 15978, 563, 305, 6242, 779, 28191, 699, 3993, 729, 29043, 827, 1200, 3375, 547, 1831, 513, 3909, 267, 855, 1352, 568, 1256, 811, 27337, 1881, 676, 1200, 8250, 779, 6379, 543, 4576, 269, 21231, 26997, 267, 2494, 21731, 11923, 28266, 543, 1310, 1200, 2669, 267, 1352, 3792, 1206, 519, 10867, 5067, 945, 568, 540, 1576, 3957, 661, 4614, 3316, 563, 1103, 513, 2104, 2486, 538, 799, 6211, 12093, 568, 11658, 543, 1480, 1355, 11608, 9497, 300, 3663, 553, 8442, 616, 22991, 14475, 547, 7110, 519, 2804, 543, 1514, 2115, 540, 3425, 9497, 7775, 326, 553, 19823, 3220, 269, 20122, 2421, 630, 19365, 670, 4669, 264, 5932, 513, 18634, 1126, 2725, 15939, 267, 6424, 630, 295, 1446, 344, 11835, 601, 14642, 618, 1070, 945, 814, 834, 928, 584, 4689, 5955, 2437, 519, 2702, 547, 2648, 267, 543, 834, 534, 6418, 1158, 540, 14165, 267, 1582, 2173, 582, 17300, 7744, 2437, 9345, 267, 543, 9909, 269, 6424, 568, 2016, 547, 8361, 543, 3933, 3821, 267, 513, 7008, 4171, 6211, 1126, 9410, 568, 1651, 12350, 569, 2192, 543, 3956, 641, 637, 5703, 267, 32261, 513, 2104, 10826, 563, 5415, 4481, 267, 6424, 568, 2813, 856, 540, 20122, 2421, 781, 1378, 2530, 543, 2016, 547, 5351, 3933, 3821, 781, 31366, 585, 9410, 267, 7247, 1352, 814, 1044, 8572, 547, 834, 2280, 979, 257, 540, 607, 4666, 269, 898, 568, 3976, 3933, 3821, 630, 293, 27509, 744, 262, 3519, 24335, 264, 945, 1590, 1118, 519, 3375, 547, 1685, 519, 834, 574, 2745, 7014, 257, 602, 786, 1118, 6424, 2648, 1200, 269, 2991, 1352, 13515, 5706, 532, 519, 7287, 547, 2648, 513, 1126, 630, 1993, 1022, 2186, 264, 1586, 543, 28352, 519, 7014, 267, 9410, 568, 30122, 23174, 543, 2501, 1753, 563, 763, 1671, 5224, 24187, 15920, 6424, 267, 10483, 676, 513, 8773, 23413, 11276, 7703, 267, 856, 883, 513, 3781, 332, 732, 1158, 540, 2937, 2725, 577, 553, 267, 16922, 540, 1312, 22748, 613, 4975, 267, 1141, 8647, 2725, 577, 553, 899, 717, 580, 23383, 15608, 630, 297, 8775, 4521, 264, 798, 741, 3023, 11832, 6009, 543, 849, 519, 535, 1872, 1438, 7706, 1141, 796, 2958, 626, 1229, 267, 23987, 2725, 577, 553, 2119, 547, 1265, 519, 22302, 2694, 789, 991, 547, 25580, 2933, 543, 1714, 8775, 911, 13827, 945, 1491, 873, 547, 5114, 776, 834, 293, 956, 327, 674, 4202, 257, 1141, 789, 616, 15597, 10032, 607, 606, 4082, 540, 30270, 1996, 5841, 4066, 563, 297, 4141, 543, 6424, 267, 1312, 1305, 909, 543, 20729, 539, 676, 3425, 23279, 540, 741, 27166, 693, 7900, 1480, 3252, 267, 6443, 1927, 593, 513, 1391, 547, 1118, 6424, 834, 9418, 257, 543, 2132, 1864, 547, 3933, 3821, 269, 634, 1391, 3217, 873, 547, 513, 14356, 24760, 24607, 543, 15920, 6424, 543, 23413, 11276, 1079, 8536, 1296, 883, 519, 2104, 547, 8207, 519, 30484, 8084, 2239, 563, 1103, 713, 4670, 1759, 593, 513, 3020, 1650, 267, 10548, 11252, 590, 2086, 539, 549, 630, 297, 32667, 645, 31678, 1070, 513, 1762, 13278, 2006, 689, 519, 22070, 5032, 540, 8050, 267, 568, 13676, 538, 513, 11362, 8009, 602, 3762, 1864, 1612, 3315, 7458, 689, 519, 8405, 1524, 543, 4625, 8200, 585, 1010, 1416, 593, 1010, 4587, 7015, 543, 1010, 11078, 2987, 25237, 267, 945, 1118, 3875, 24279, 538, 1931, 547, 1416, 585, 1864, 269, 26062, 5498, 1597, 1296, 2663, 267, 538, 1010, 476, 2004, 781, 267, 10548, 11252, 568, 649, 776, 540, 1010, 1272, 267, 799, 646, 7959, 568, 1510, 15683, 267, 543, 646, 13290, 547, 1205, 3656, 10479, 547, 1439, 621, 563, 14367, 7015, 568, 740, 600, 14688, 10353, 547, 552, 30984, 267, 855, 10548, 11252, 568, 4313, 539, 543, 29211, 538, 1010, 1391, 676, 1079, 2021, 945, 616, 6537, 883, 1010, 5858, 269, 27813, 630, 289, 2946, 6352, 681, 4240, 320, 1070, 513, 15818, 7092, 689, 513, 28115, 894, 2068, 267, 5956, 547, 1374, 513, 3656, 2013, 585, 10548, 11252, 855, 4166, 8813, 538, 2648, 609, 1864, 630, 24392, 1352, 4667, 25747, 9310, 1070, 543, 646, 609, 1200, 269, 769, 513, 3226, 3001, 6429, 267, 10548, 11252, 2914, 14833, 540, 1576, 3112, 1847, 734, 339, 20635, 27813, 602, 1200, 9329, 568, 519, 4098, 540, 1010, 2144, 5328, 6720, 553, 625, 827, 1200, 563, 19878, 807, 2337, 1864, 12575, 543, 15476, 513, 1433, 540, 1010, 6965, 267, 855, 1287, 267, 2348, 8815, 547, 513, 4745, 11980, 267, 1352, 12357, 569, 19758, 856, 269, 28266, 630, 299, 7637, 9603, 10722, 553, 1070, 513, 1762, 2582, 3993, 945, 1568 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21795, 607, 19073, 1477, 5814, 11885, 607, 5286, 5897, 3698, 1293, 5332, 1868, 1389, 29254, 267, 737, 8029, 825, 31575, 815, 17093, 3052, 4981, 2421, 3488, 16149, 12173, 262, 1040, 21653, 14061, 637, 564, 16229, 28442, 8782, 11133, 20298, 825, 31575, 815, 31575, 314, 339, 5404, 9131, 11133, 11172, 13843, 737, 15947, 825, 2132, 31575, 9131, 11133, 262, 4940, 12248, 3890, 0, 18411, 825, 20638, 454, 825, 4419, 525, 607, 513, 3804, 585, 519, 32652, 563, 825, 17644, 666, 581, 547, 2333, 513, 2123, 2493, 267, 2744, 513, 1808, 15896, 267, 6108, 942, 593, 606, 2534, 2676, 825, 2170, 609, 824, 339, 3397, 757, 543, 811, 563, 825, 20505, 666, 581, 4087, 1759, 267, 4567, 1759, 267, 610, 17271, 547, 519, 32652, 563, 18411, 5814, 5299, 454, 5814, 8665, 692, 5035, 20638, 912, 825, 1948, 7179, 2012, 540, 6662, 454, 825, 2012, 815, 834, 984, 11187, 2012, 4840, 825, 1948, 13574, 518, 32652, 602, 568, 3843, 547, 9585, 713, 20638, 454, 825, 8227, 318, 26047, 815, 7183, 454, 825, 1948, 27010, 32652, 952, 2877, 269, 608, 269, 16658, 12487, 570, 2752, 294, 4953, 318, 8980, 7728, 454, 825, 3077, 318, 26047, 815, 7183, 454, 825, 1948, 2549, 870, 540, 4674, 2838, 540, 32652, 547, 11654, 454, 825, 4674, 815, 476, 2004, 454, 825, 1948, 932, 1734, 540, 6707, 11264, 454, 825, 1967, 15220, 766, 815, 476, 1911, 454, 825, 1948, 19715, 540, 20638, 269, 7183, 1797, 1100, 4087, 2877, 454, 825, 4087, 318, 7528, 597, 906, 815, 7183, 454, 825, 1948, 5900, 1026, 2373, 2877, 454, 825, 14487, 318, 7528, 790, 906, 815, 7183, 454, 825, 1948, 27294, 2877, 454, 825, 6221, 318, 7528, 790, 906, 815, 11713, 825, 1948, 21073, 2877, 454, 825, 7592, 318, 7528, 790, 906, 815, 29129, 825, 1948, 21976, 540, 519, 27010, 32652, 454, 825, 3077, 9078, 6327, 318, 7528, 790, 906, 815, 7183, 454, 825, 3077, 318, 3430, 25572, 318, 7528, 790, 906, 815, 7183, 454, 825, 3077, 318, 14403, 318, 7528, 790, 906, 815, 11713, 825, 3077, 4671, 20137, 318, 7528, 790, 906, 815, 29129, 825, 1948, 14190, 338, 1967, 547, 581, 6508, 689, 8665, 28135, 454, 825, 1219, 12433, 306, 15471, 2419, 766, 4311, 2187, 1038, 1780, 22562, 825, 1948, 3629, 513, 7874, 5569, 454, 825, 1219, 5192, 11514, 2452, 11243, 4311, 2187, 1038, 2132, 834, 30606, 281, 4347, 5435, 5016, 825, 1948, 16849, 1018, 4170, 616, 2877, 547, 2347, 3804, 454, 825, 1219, 5192, 26473, 790, 906, 4311, 2187, 1038, 1780, 692, 825, 1948, 1548, 4523, 950, 519, 8665, 29349, 519, 6662, 454, 825, 1219, 13159, 29020, 4311, 2187, 1038, 1780, 692, 825, 1219, 5590, 1575, 29020, 4311, 2187, 1038, 1780, 7531, 5035, 2333, 318, 520, 25572, 263, 29020, 2187, 825, 1699, 318, 3430, 25572, 815, 476, 271, 692, 825, 1219, 6744, 2252, 4467, 921, 1540, 4311, 2187, 1038, 1780, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 3077, 2187, 1038, 1582, 6745, 13759, 318, 26047, 815, 3077, 454, 1038, 1582, 2529, 564, 1575, 29020, 10797, 7531, 5035, 13599, 15220, 843, 263, 27463, 848, 318, 520, 25572, 17107, 825, 1219, 5192, 11514, 2452, 11243, 4311, 2187, 1038, 2132, 834, 14807, 622, 4132, 281, 834, 1341, 1582, 6745, 13759, 318, 26047, 269, 7476, 17359, 11243, 10797, 825, 1219, 5590, 1575, 29020, 4311, 2187, 1038, 1582, 269, 9690, 318, 3430, 25572, 815, 5299, 19709, 788, 32476, 4311, 6745, 13759, 318, 26047, 269, 3430, 1026, 2373, 14277, 25531, 19312, 2020, 825, 1219, 6744, 2252, 4467, 921, 1540, 4311, 2187, 1038, 952, 630, 1345, 6745, 13759, 318, 26047, 269, 3430, 1026, 2373, 14277, 25531, 19312, 3436, 1582, 269, 9690, 318, 3430, 25572, 2187, 2018, 1820, 4311, 6745, 13759, 318, 26047, 269, 7476, 17359, 11243, 3890, 1341, 834, 262, 338, 4065, 16842, 10590, 12467, 2018, 1582, 269, 28415, 29020, 4590, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 454, 0, 454, 3698, 5491, 18045, 29254, 267, 1535, 2187, 1038, 5491, 18045, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 29254, 269, 11161, 314, 271, 8079, 2187, 3546, 5491, 18045, 6834, 17093, 269, 11161, 20572, 6012, 328, 2639, 3546, 1948, 1820, 29254, 31815, 8435, 5157, 316, 1341, 834, 834, 1341, 1193, 29254, 269, 11161, 20572, 6012, 328, 28413, 1038, 952, 5491, 18045, 2999, 476, 11277, 912, 3546, 2132, 8771, 454, 1038, 2132, 6936, 7531, 3698, 4295, 6831, 6847, 29254, 267, 1535, 2187, 1038, 4295, 6831, 12973, 815, 18358, 290, 3041, 476, 1911, 272, 22779, 13376, 18358, 290, 3041, 476, 10755, 278, 3299, 1412, 290, 3041, 476, 10755, 272, 11172, 2676, 13376, 18358, 290, 3041, 476, 11793, 279, 3299, 1412, 290, 3041, 476, 3422, 279, 11172, 2676, 13376, 18358, 290, 3041, 476, 14138, 277, 3299, 1412, 290, 3041, 476, 3422, 277, 11172, 2676, 13376, 1412, 290, 3041, 476, 10711, 274, 22779, 13376, 1412, 290, 3041, 476, 13975, 278, 22779, 13376, 1412, 290, 3041, 476, 21327, 277, 22779, 13376, 1412, 290, 3041, 476, 21327, 279, 22779, 13376, 1412, 290, 3041, 476, 17168, 278, 22779, 13376, 1412, 290, 3041, 476, 31696, 277, 22779, 13376, 18358, 290, 3041, 476, 275, 4375, 279, 3299, 1412, 290, 3041, 476, 275, 4375, 278, 11172, 6540, 1038, 585, 1576, 538, 4295, 6831, 12973, 912, 3546, 952, 1576, 14857, 5035, 1029, 2652, 1193, 912, 13376, 952, 17093, 314, 322, 6847, 6012, 343, 316, 2652, 476, 271, 912, 4449, 3546, 2132, 8771, 454, 13376, 1948, 1820, 6262, 6847, 1341, 834, 476, 834, 1341, 1193, 29254, 314, 322, 6847, 6012, 343, 28413, 3546, 952, 1576, 14857, 5035, 1029, 2652, 1592, 912, 13376, 952, 17093, 314, 322, 6847, 314, 271, 316, 6012, 343, 316, 3436, 476, 271, 912, 4449, 3546, 1948, 1820, 6262, 6847, 314, 271, 316, 1341, 834, 476, 834, 1341, 1193, 29254, 314, 322, 6847, 314, 271, 316, 6012, 343, 28413, 4449, 3546, 1780, 454, 13376, 8640, 17093, 314, 322, 6847, 314, 272, 316, 6012, 343, 316, 3436, 476, 271, 912, 4449, 3546, 1948, 1820, 6262, 6847, 314, 272, 316, 1341, 834, 476, 834, 1341, 1193, 29254, 314, 322, 6847, 314, 272, 316, 6012, 343, 28413, 4449, 3546, 1780, 454, 13376, 3116, 912, 4449, 3546, 2132, 8771, 454, 1038, 2132, 6936, 7531, 3698, 2979, 6831, 12973, 29254, 267, 1535, 17107, 1038, 952, 17093, 9131, 21316, 295, 476, 10441, 272, 262, 6012, 343, 316, 2652, 476, 271, 543, 17093, 9131, 21316, 295, 476, 3707, 272, 262, 6012, 343, 316, 2652, 476, 271, 912, 3546, 2132, 8771, 454, 1038, 1948, 1820, 3488, 21316, 295, 476, 10441, 272, 5073, 1038, 952, 17093, 9131, 21316, 295, 476, 10441, 273, 262, 6012, 343, 316, 2652, 476, 271, 543, 17093, 9131, 21316, 295, 476, 3707, 273, 262, 6012, 343, 316, 2652, 476, 271, 912, 3546, 2132, 8771, 454, 1038, 1948, 1820, 3488, 21316, 295, 476, 10441, 273, 17210, 1038, 2132, 6936, 7531, 3698, 28250, 318, 19491, 1161, 29254, 267, 1535, 267, 1576, 8217, 17107, 1038, 28250, 318, 19491, 1161, 815, 18358, 290, 3041, 476, 17168, 274, 3299, 1412, 290, 3041, 476, 25834, 272, 3299, 1412, 290, 3041, 476, 25834, 280, 3299, 1412, 290, 3041, 476, 27844, 273, 3299, 1412, 290, 3041, 476, 20065, 279, 3299, 1412, 290, 3041, 476, 28664, 280, 3299, 1412, 290, 3041, 476, 24783, 272, 3299, 1412, 290, 3041, 476, 31620, 276, 22779, 4449, 1363, 1412, 290, 3041, 476, 11740, 274, 3299, 1412, 290, 3041, 476, 11740, 276, 3299, 1412, 290, 3041, 476, 4391, 272, 276, 3299, 1412, 290, 3041, 476, 275, 2764, 273, 3299, 1412, 290, 3041, 476, 25396, 276, 3299, 1412, 290, 3041, 476, 25396, 278, 3299, 1412, 290, 3041, 476, 25396, 279, 3299, 1412, 290, 3041, 476, 32542, 280, 22779, 4449, 1363, 1412, 290, 3041, 476, 28242, 275, 3299, 1412, 290, 3041, 476, 275, 3451, 272, 3299, 1412, 290, 3041, 476, 31973, 271, 3299, 1412, 290, 3041, 476, 275, 3607, 271, 3299, 1412, 290, 3041, 476, 275, 4343, 273, 3299, 1412, 290, 3041, 476, 26493, 276, 3299, 1412, 290, 3041, 476, 5379, 272, 276, 3299, 1412, 21316, 295, 476, 13975, 272, 22779, 4449, 1363, 1412, 21316, 295, 476, 13975, 274, 3299, 1412, 21316, 295, 476, 14225, 274, 262, 6540, 1038, 5491, 18045, 815, 476, 271, 454, 1038, 585, 1576, 538, 28250, 318, 19491, 1161, 912, 3546, 952, 17093, 314, 322, 6847, 6012, 343, 316, 3436, 476, 271, 912, 13376, 5491, 18045, 6834, 1576, 8217, 314, 322, 6847, 8217, 28827, 6262, 6847, 264, 1341, 476, 272, 6540, 1038, 952, 5491, 18045, 2999, 476, 1428, 912, 3546, 2132, 8771, 454, 1038, 3116, 912, 3546, 2132, 6936, 7531, 3698, 2978, 5334, 7220, 318, 30084, 29254, 267, 1535, 17107, 1038, 952, 17093, 9131, 10292, 5357, 476, 9340, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 10292, 5357, 476, 21076, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 10292, 5357, 476, 4489, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 10292, 5357, 476, 29720, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 692, 1038, 952, 17093, 9131, 290, 4047, 300, 476, 9818, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 290, 4047, 300, 476, 9818, 274, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 290, 4047, 300, 476, 9818, 273, 262, 6012, 343, 316, 543, 17093, 9131, 290, 4047, 300, 476, 9818, 275, 262, 6012, 343, 14158, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 290, 4047, 300, 476, 4198, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 290, 4047, 300, 476, 4198, 274, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 290, 4047, 300, 476, 4198, 273, 262, 6012, 343, 316, 543, 17093, 9131, 290, 4047, 300, 476, 4198, 275, 262, 6012, 343, 14158, 3546, 2132, 6936, 692, 1038, 952, 17093, 9131, 292, 2464, 476, 1220, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 292, 2464, 476, 1001, 272, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 10292, 5357, 476, 1220, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 292, 2464, 476, 18684, 272, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 692, 1038, 952, 17093, 9131, 303, 14176, 306, 476, 11793, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 303, 14176, 306, 476, 11793, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 303, 14176, 306, 476, 3422, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 303, 14176, 306, 476, 3422, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 303, 14176, 306, 476, 1708, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 303, 14176, 306, 476, 1708, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 454, 1038, 952, 17093, 9131, 303, 14176, 306, 476, 29580, 272, 262, 6012, 343, 316, 3436, 476, 271, 543, 17093, 9131, 303, 14176, 306, 476, 29580, 273, 262, 6012, 343, 316, 3436, 476, 271, 912, 3546, 2132, 6936, 692, 1038, 2132, 8771, 7531, 3698, 1024, 2644, 29254, 267, 1535, 267, 1576, 8217, 17107, 1038, 10305, 815, 22373, 294, 310, 2580, 834, 294, 312, 2580, 834, 294, 313, 2580, 834, 16598, 2580, 834, 16412, 2580, 834, 31270, 2580, 834, 31769, 2580, 834, 294, 308, 31116, 1038, 585, 14487, 538, 10305, 912, 3546, 1775, 815, 476, 273, 454, 3546, 1699, 318, 3430, 25572, 318, 14814, 815, 8771, 454, 3546, 1247, 1775, 2999, 7003, 6262, 6847, 8217, 2187, 13376, 952, 1193, 6262, 6847, 8217, 5157, 316, 1040, 22772, 263, 3430, 25572, 264, 3436, 476, 271, 912, 4449, 3546, 952, 17093, 314, 322, 6847, 8217, 5157, 910, 476, 273, 316, 6012, 343, 316, 3436, 476, 271, 912, 4449, 13376, 1699, 318, 3430, 25572, 318, 14814, 815, 6936, 454, 4449, 13376, 1948, 1820, 6262, 6847, 8217, 5157, 910, 476, 273, 7481, 13376, 1775, 6834, 476, 274, 454, 3546, 952, 711, 1699, 318, 3430, 25572, 318, 14814, 912, 13376, 2132, 8771, 692, 1038, 2132, 6936, 454, 0, 320, 815, 834, 15916, 29177, 321, 815, 834, 13328, 257, 5897, 322, 815, 513, 1341, 536, 5897, 2745, 524, 5897, 323, 815, 513, 2608, 476, 276, 1477, 2745, 546, 5897, 324, 815, 513, 2608, 476, 276, 1341, 536, 2608, 476, 274, 1477, 2745, 552, 5897, 325, 815, 513, 269, 21639, 14052, 2745, 535, 5897, 326, 815, 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 ]

[ 269, 623, 7473, 22400, 715, 28719, 5442, 5990, 9474, 10976, 292, 700, 12114, 780, 5814, 942, 454, 5814, 4152, 318, 3559, 704, 7531, 3698, 1292, 10031, 825, 5727, 595, 8712, 519, 567, 570, 12239, 567, 3252, 538, 713, 9074, 269, 8173, 825, 2196, 15305, 318, 2889, 12378, 272, 30800, 3698, 2196, 15305, 318, 2889, 12378, 272, 10031, 825, 5727, 18873, 519, 476, 1966, 272, 567, 1599, 269, 8173, 825, 476, 19399, 19399, 2971, 454, 825, 1948, 8946, 2464, 292, 570, 2464, 4811, 25758, 9338, 3918, 4696, 312, 667, 24535, 269, 476, 11298, 10691, 8863, 3198, 12283, 5990, 300, 563, 825, 476, 19399, 19399, 2971, 454, 825, 1820, 4590, 825, 1820, 3488, 24801, 734, 5073, 825, 1820, 3488, 14818, 532, 519, 567, 1966, 272, 567, 1599, 281, 5073, 825, 1820, 3488, 24801, 734, 17210, 825, 3898, 23952, 815, 1412, 825, 1966, 272, 263, 15079, 3738, 7055, 825, 1449, 318, 29798, 815, 1496, 271, 267, 476, 271, 316, 476, 1948, 7089, 540, 4255, 5293, 267, 8959, 780, 825, 1948, 4530, 476, 272, 912, 825, 1535, 815, 476, 1321, 454, 825, 4397, 815, 476, 279, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 273, 912, 825, 1535, 815, 476, 273, 454, 825, 4397, 815, 476, 272, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 274, 912, 825, 1535, 815, 476, 279, 454, 825, 4397, 815, 476, 276, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 275, 912, 825, 1535, 815, 476, 3451, 454, 825, 4397, 815, 476, 2641, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 276, 912, 825, 1535, 815, 476, 4097, 454, 825, 4397, 815, 476, 2641, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 277, 912, 825, 1535, 815, 476, 3374, 454, 825, 4397, 815, 476, 4097, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 278, 912, 825, 1535, 815, 476, 3607, 454, 825, 4397, 815, 476, 4097, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 4530, 476, 279, 912, 825, 1535, 815, 476, 6344, 271, 454, 825, 4397, 815, 476, 7176, 278, 454, 825, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 8443, 343, 3910, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 994, 825, 4890, 815, 1966, 272, 3287, 264, 476, 1948, 14840, 519, 3009, 547, 1449, 454, 825, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2020, 825, 1948, 590, 9331, 300, 14473, 540, 519, 1449, 2164, 912, 825, 1820, 23544, 4424, 15058, 15305, 318, 29798, 6025, 652, 318, 29798, 994, 672, 692, 3698, 4017, 20906, 3799, 2187, 825, 5727, 16849, 519, 715, 628, 4017, 20906, 1297, 269, 8173, 825, 952, 562, 2652, 476, 272, 281, 2132, 476, 271, 454, 825, 8640, 562, 2652, 476, 273, 281, 2132, 476, 272, 454, 825, 3116, 281, 2132, 4017, 20906, 3799, 268, 272, 264, 1341, 4017, 20906, 3799, 268, 273, 9239, 3698, 1966, 272, 3799, 2187, 825, 8173, 825, 1548, 2501, 538, 912, 8587, 4534, 1323, 8870, 3152, 982, 476, 272, 281, 476, 562, 454, 825, 1548, 4422, 856, 281, 476, 16849, 519, 4102, 25828, 1297, 602, 568, 1447, 982, 562, 454, 825, 17121, 2360, 281, 7183, 563, 825, 31962, 602, 519, 25828, 5311, 568, 519, 3126, 540, 2338, 912, 1038, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 4429, 825, 1141, 519, 1985, 1297, 568, 1336, 676, 4946, 519, 1079, 3105, 2338, 563, 825, 1924, 519, 1985, 1297, 538, 713, 5311, 1131, 581, 476, 276, 1341, 476, 279, 815, 476, 1724, 780, 825, 6201, 912, 672, 1966, 272, 263, 1321, 264, 1131, 2132, 476, 279, 2676, 1363, 2094, 519, 1985, 25828, 1297, 630, 1724, 264, 568, 3152, 982, 476, 1321, 563, 672, 1966, 272, 263, 273, 264, 1131, 2132, 476, 272, 543, 454, 672, 1966, 272, 263, 279, 264, 1131, 2132, 476, 276, 780, 825, 7392, 23456, 912, 8587, 2433, 6943, 562, 281, 703, 454, 8587, 2433, 337, 6943, 281, 703, 454, 825, 8173, 825, 1948, 476, 5785, 14343, 8894, 825, 1948, 667, 821, 281, 476, 273, 269, 25956, 543, 1449, 713, 1599, 563, 825, 1948, 16875, 18873, 723, 1044, 2854, 585, 596, 630, 629, 913, 1916, 825, 1948, 2878, 1262, 29313, 18306, 19611, 2878, 1262, 912, 825, 1948, 1284, 13859, 513, 567, 4017, 20906, 567, 1599, 1657, 563, 825, 1948, 567, 1280, 674, 26097, 5491, 281, 4194, 713, 23166, 27345, 10912, 602, 4017, 20906, 1599, 454, 825, 1948, 8587, 610, 6382, 1210, 922, 3009, 563, 825, 1948, 567, 1280, 24315, 2316, 3201, 5491, 267, 1289, 519, 4017, 20906, 1599, 607, 2877, 563, 825, 1948, 454, 825, 1948, 634, 9864, 29931, 9016, 4528, 568, 606, 4443, 1966, 630, 514, 938, 2070, 13211, 825, 1948, 865, 596, 1522, 4194, 519, 9864, 29931, 9016, 4528, 674, 7644, 4306, 267, 4688, 602, 3070, 2676, 825, 1948, 543, 8946, 2894, 2119, 519, 2407, 29931, 9016, 4528, 563, 825, 1948, 1306, 2141, 267, 12164, 2316, 301, 16604, 547, 519, 1985, 1966, 952, 596, 616, 5254, 10813, 298, 593, 713, 835, 563, 825, 1948, 476, 5785, 14343, 8894, 825, 2698, 815, 476, 271, 454, 825, 1003, 815, 476, 272, 454, 825, 7173, 19571, 815, 476, 271, 454, 825, 1247, 562, 3436, 2698, 912, 1038, 2698, 815, 1003, 1341, 7173, 19571, 454, 1038, 7173, 19571, 815, 1003, 454, 1038, 1003, 815, 2698, 692, 825, 2132, 7173, 19571, 7531, 19399, 19399, 5992, 2971, 2162, 454, 258, 3776, 4255, 946, 519, 1739, 547, 1820, 5470, 6835, 538, 2699, 563, 258, 1684, 10691, 1689, 621, 269, 476, 1411, 798, 10691, 723, 547, 798, 4376, 609, 621, 563, 19399, 19399, 5992, 2971, 2162, 692, 3698, 1820, 318, 1410, 4624, 318, 14310, 15058, 15305, 263, 1173, 3701, 267, 4397, 2676, 14030, 476, 1449, 318, 29798, 267, 3898, 23952, 2187, 825, 4152, 318, 3559, 704, 31428, 318, 1410, 4624, 318, 14310, 15058, 15305, 263, 1173, 3701, 267, 4397, 2676, 14030, 4449, 1449, 318, 29798, 2676, 14030, 4449, 3898, 23952, 9239, 3698, 1820, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 267, 1449, 318, 29798, 2187, 825, 4152, 318, 3559, 704, 31428, 318, 716, 783, 318, 14310, 15058, 15305, 263, 1410, 4624, 267, 4890, 2676, 14030, 25639, 1449, 318, 29798, 9239, 3698, 1820, 23544, 4424, 15058, 15305, 318, 29798, 6025, 652, 318, 29798, 2187, 825, 4152, 318, 3559, 704, 31428, 23544, 4424, 15058, 15305, 318, 29798, 6025, 652, 318, 29798, 9239, 258, 1677, 1450, 2681, 2275, 5317, 519, 3977, 547, 519, 23641, 912, 27516, 318, 4596, 299, 3036, 5058, 815, 6936, 476, 1948, 7827, 547, 8771, 547, 556, 3200, 547, 744, 17162, 2511, 7801, 692, 11687, 532, 318, 3559, 704, 269, 27516, 318, 4596, 299, 3036, 5058, 815, 2475, 292, 318, 4596, 299, 3036, 5058, 454, 604, 2475, 292, 318, 4596, 299, 3036, 5058, 912, 825, 1948, 1100, 1231, 18936, 12877, 4537, 611, 12976, 289, 16742, 1231, 454, 825, 1820, 815, 4152, 318, 3559, 704, 31428, 22674, 1819, 454, 12828, 912, 825, 1948, 1100, 1231, 18936, 12877, 4537, 611, 12976, 289, 16742, 1231, 454, 825, 1820, 815, 4152, 318, 3559, 704, 31428, 318, 684, 3712, 1819, 692, 258, 476, 5785, 14343, 955, 8894, 258, 595, 8712, 476, 1292, 476, 547, 1376, 519, 3440, 12902, 563, 258, 634, 567, 2119, 10371, 4849, 567, 11151, 5470, 6835, 593, 519, 23641, 689, 1373, 454, 258, 954, 2719, 1194, 609, 8723, 3977, 547, 519, 23641, 563, 258, 476, 5785, 14343, 955, 8894, 339, 787, 912, 825, 1292, 4590, 21955, 1401, 4003, 912, 825, 1820, 3488, 2207, 305, 3036, 910, 2755, 4881, 713, 1449, 267, 3299, 2681, 8782, 1042, 5073, 825, 1820, 3488, 20365, 3009, 6659, 519, 1739, 9868, 281, 3299, 2681, 8782, 1042, 5073, 825, 1820, 4590, 825, 942, 4732, 2748, 263, 272, 994, 825, 6318, 454, 0, 5814, 2415, 27785, 692, 3698, 1205, 26466, 336, 6600, 516, 336, 2187, 825, 2132, 703, 263, 1037, 263, 15615, 6600, 516, 336, 264, 2608, 476, 2004, 4700, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 4590, 825, 16163, 518, 14491, 318, 30348, 2891, 325, 516, 336, 2580, 1826, 815, 10581, 994, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 4590, 825, 1820, 2891, 10157, 589, 3583, 966, 346, 281, 323, 348, 717, 834, 269, 8971, 263, 1326, 26466, 336, 263, 16911, 8807, 516, 336, 21875, 0, 5228, 30220, 1104, 30220, 454, 5814, 942, 454, 5228, 2962, 6745, 1206, 269, 3667, 15461, 5334, 701, 3663, 1104, 3717, 692, 3698, 4266, 10031, 825, 3717, 263, 5503, 269, 1598, 1111, 830, 2891, 260, 323, 4939, 321, 4939, 312, 4939, 288, 8442, 2020, 3698, 24817, 10031, 825, 3717, 263, 5503, 269, 1598, 1111, 830, 2891, 260, 296, 281, 260, 300, 281, 260, 306, 4939, 288, 8442, 2020, 5814, 942, 454, 5814, 544, 12364, 322, 4135, 692, 3698, 3247, 31296, 10031, 825, 1535, 815, 3403, 3488, 18208, 521, 547, 1376, 267, 533, 547, 23249, 267, 610, 678, 547, 19268, 281, 30386, 825, 23249, 272, 815, 476, 271, 269, 271, 454, 825, 23249, 273, 815, 476, 271, 269, 271, 692, 825, 952, 1535, 568, 1412, 338, 12466, 1038, 1376, 815, 942, 17085, 1442, 4590, 1038, 1535, 272, 815, 1412, 338, 28847, 1038, 1247, 6936, 912, 2018, 952, 1535, 568, 1412, 335, 12466, 3546, 23249, 272, 815, 942, 17085, 1442, 3890, 1341, 23249, 272, 454, 3546, 1535, 815, 544, 12364, 322, 4135, 10947, 342, 577, 4590, 3546, 23249, 273, 815, 942, 17085, 1442, 3890, 1341, 23249, 273, 454, 3546, 1535, 272, 815, 1412, 335, 7055, 2018, 8640, 1535, 568, 1412, 337, 12466, 3546, 1820, 3488, 4449, 1363, 22207, 1439, 8782, 315, 337, 5073, 3546, 1820, 3488, 271, 281, 271, 281, 271, 269, 876, 3299, 1439, 8782, 315, 337, 5073, 3546, 1535, 815, 544, 12364, 322, 4135, 10947, 342, 577, 4590, 3546, 1376, 815, 942, 17085, 1442, 4590, 3546, 23249, 272, 815, 476, 271, 269, 271, 454, 3546, 23249, 273, 815, 476, 271, 269, 271, 454, 2018, 8640, 1535, 568, 1412, 338, 12466, 3546, 952, 544, 12364, 322, 4135, 21993, 321, 327, 527, 10031, 7386, 1535, 815, 544, 12364, 322, 4135, 10947, 342, 577, 4590, 3546, 3116, 912 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3593, 547, 3403, 909, 547, 1079, 8635, 10148, 593, 519, 454, 1012, 476, 6389, 950, 7231, 609, 6198, 7252, 454, 1012, 454, 1012, 476, 14871, 11378, 912, 1012, 825, 535, 815, 834, 9008, 257, 2627, 609, 1990, 815, 535, 3287, 11971, 994, 1012, 825, 575, 815, 834, 321, 18847, 257, 2627, 609, 1990, 815, 575, 3287, 11971, 994, 1012, 825, 2783, 272, 815, 513, 2582, 10465, 23061, 269, 476, 898, 1058, 711, 1331, 30974, 610, 1923, 547, 6443, 1079, 2175, 563, 1012, 825, 2783, 273, 815, 1776, 10465, 23061, 269, 476, 1403, 972, 568, 1152, 835, 23061, 267, 1175, 4283, 1945, 3020, 454, 1012, 1038, 610, 1256, 1175, 606, 1535, 630, 528, 586, 264, 538, 519, 7127, 10145, 563, 1012, 454, 1012, 692, 12534, 3488, 343, 11971, 17210, 258, 476, 535, 568, 519, 1283, 2627, 454, 258, 476, 575, 568, 519, 5377, 2627, 454, 29514, 535, 267, 326, 692, 258, 476, 2783, 272, 543, 2783, 273, 616, 519, 8635, 10148, 269, 476, 898, 1131, 581, 8799, 454, 258, 476, 547, 723, 1022, 1297, 540, 2175, 4448, 676, 476, 610, 11406, 29514, 2783, 272, 267, 935, 1288, 273, 692, 287, 5793, 716, 454, 3698, 9041, 263, 325, 284, 6358, 318, 7901, 263, 29239, 14352, 272, 270, 274, 12684, 343, 317, 273, 1341, 630, 272, 270, 275, 12684, 344, 317, 273, 1341, 476, 276, 267, 16932, 8782, 259, 325, 3287, 6661, 259, 262, 13211, 326, 284, 6358, 318, 7901, 263, 29239, 15871, 272, 20080, 266, 271, 265, 344, 267, 16932, 8782, 259, 326, 3287, 6661, 259, 262, 13211, 935, 1288, 272, 284, 6358, 318, 7901, 263, 29239, 284, 1535, 317, 273, 20742, 317, 273, 283, 279, 267, 16932, 8782, 259, 3519, 14259, 842, 318, 272, 284, 259, 262, 13211, 935, 1288, 273, 284, 6358, 318, 7901, 263, 29239, 284, 344, 283, 7562, 263, 274, 20080, 1070, 16932, 8782, 259, 3519, 14259, 842, 318, 273, 284, 259, 262, 13211, 323, 2214, 514, 815, 18011, 8967, 514, 286, 3299, 25152, 13211, 743, 337, 815, 2681, 26000, 937, 528, 3488, 258, 325, 3530, 876, 3299, 6003, 8782, 24127, 7822, 3299, 11097, 1326, 8782, 10233, 335, 1157, 518, 3299, 12404, 318, 7901, 18989, 13211, 16282, 815, 2039, 5334, 331, 3187, 8987, 276, 267, 476, 276, 267, 476, 272, 267, 9949, 284, 8987, 274, 267, 274, 1070, 6003, 8782, 311, 16186, 262, 13211, 344, 344, 815, 2039, 5334, 331, 3187, 8987, 276, 267, 476, 276, 267, 476, 272, 267, 9949, 284, 8987, 274, 267, 274, 1070, 6003, 8782, 312, 16186, 262, 13211, 2246, 334, 318, 26303, 284, 32401, 17107, 258, 476, 901, 568, 519, 1283, 1599, 2965, 1178, 335, 1117, 676, 1210, 10878, 301, 3544, 6389, 454, 3698, 674, 3287, 11971, 2187, 604, 2783, 272, 3287, 24210, 11971, 284, 344, 2187, 604, 2783, 273, 3287, 24210, 11971, 284, 344, 2187, 8873, 535, 3287, 24210, 11971, 284, 344, 994, 12828, 912, 8873, 910, 27845, 301, 454, 12828, 912, 8873, 910, 27845, 301, 692, 258, 901, 568, 519, 5377, 1599, 2965, 1178, 335, 1117, 676, 1210, 10878, 301, 3544, 6389, 454, 3698, 717, 3287, 11971, 2187, 604, 2783, 272, 3287, 24210, 11971, 284, 344, 2187, 604, 2783, 273, 3287, 24210, 11971, 284, 344, 2187, 8873, 575, 3287, 24210, 11971, 284, 344, 994, 12828, 912, 8873, 910, 27845, 301, 454, 12828, 912, 8873, 910, 27845, 301, 692, 303, 815, 29093, 10797, 258, 476, 634, 3113, 540, 519, 1283, 543, 5377, 7252, 454, 303, 8217, 815, 11713, 303, 8217, 6910, 263, 7120, 274, 323, 263, 293, 267, 263, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 10233, 8782, 19990, 3299, 641, 13369, 284, 271, 269, 280, 4917, 303, 8217, 6910, 263, 7120, 274, 323, 31855, 267, 263, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 10233, 8782, 326, 2001, 3299, 641, 13369, 284, 271, 269, 280, 11723, 258, 476, 3955, 335, 25544, 834, 331, 16558, 257, 1063, 519, 1283, 543, 5377, 952, 5551, 692, 604, 1397, 318, 14179, 912, 7806, 3930, 815, 2039, 263, 1015, 2020, 3698, 670, 3287, 11971, 267, 337, 2187, 8873, 630, 272, 8573, 12684, 293, 3287, 24210, 11971, 284, 344, 11924, 337, 265, 294, 3287, 24210, 11971, 284, 344, 994, 303, 8217, 269, 2169, 754, 8443, 454, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 272, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 273, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 274, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 275, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 276, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 277, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 278, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 279, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 13211, 7120, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 3930, 314, 280, 316, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 267, 10233, 284, 743, 337, 994, 7481, 258, 2018, 623, 815, 4729, 274, 323, 10857, 10033, 1535, 11971, 281, 670, 3287, 11971, 267, 7806, 1470, 270, 1015, 32140, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 272, 2020, 258, 476, 3767, 267, 18645, 782, 540, 519, 11708, 883, 835, 19882, 3113, 563, 303, 815, 2040, 27456, 8217, 5157, 316, 585, 1775, 538, 2039, 12759, 27456, 8217, 4297, 2020, 604, 1397, 318, 274, 323, 912, 19651, 27456, 267, 18134, 284, 25152, 267, 31320, 284, 32401, 21726, 2381, 284, 16282, 314, 271, 3910, 343, 10946, 284, 16282, 314, 272, 3910, 2096, 514, 284, 344, 344, 314, 271, 3910, 2096, 1314, 284, 344, 344, 314, 272, 3910, 560, 699, 334, 8782, 1042, 1097, 534, 3299, 325, 12127, 1125, 14352, 277, 267, 280, 1070, 1613, 518, 8782, 329, 28485, 3299, 4944, 514, 284, 323, 2214, 514, 994, 12828, 912, 19651, 27456, 267, 18134, 284, 25152, 267, 31320, 284, 32401, 21726, 2381, 284, 16282, 314, 271, 3910, 343, 10946, 284, 16282, 314, 272, 3910, 2096, 514, 284, 344, 344, 314, 271, 3910, 2096, 1314, 284, 344, 344, 314, 272, 3910, 325, 12127, 1125, 14352, 277, 267, 280, 1070, 1613, 518, 8782, 329, 28485, 3299, 4944, 514, 284, 323, 2214, 514, 2020, 1012, 700, 8632, 17183, 9351, 692, 2421, 3627, 3004, 6665, 692, 1012, 476, 18224, 543, 12337, 519, 1858, 540, 519, 14694, 2627, 1063, 1079, 7252, 454, 1012, 476, 7222, 547, 519, 630, 2675, 531, 541, 264, 1899, 7533, 454, 1012, 476, 3627, 3004, 6665, 454, 1012, 476, 11354, 476, 1001, 272, 692, 12534, 3488, 343, 11971, 25722, 29679, 5073, 287, 5793, 716, 454, 3698, 9041, 263, 325, 284, 6358, 318, 7901, 263, 29239, 284, 277, 268, 275, 20080, 317, 273, 3917, 317, 273, 265, 273, 270, 276, 267, 16932, 8782, 259, 325, 3287, 11971, 264, 815, 259, 262, 13211, 326, 284, 6358, 318, 7901, 263, 29239, 15871, 273, 266, 7562, 3287, 11924, 7562, 12169, 1070, 16932, 8782, 259, 326, 3287, 11971, 264, 815, 259, 262, 13211, 340, 284, 6358, 318, 7901, 263, 29239, 284, 6523, 6025, 1070, 16932, 8782, 259, 340, 6025, 264, 815, 259, 262, 13211, 341, 284, 6358, 318, 7901, 263, 29239, 284, 273, 265, 7562, 6025, 1070, 16932, 8782, 259, 341, 6025, 264, 815, 259, 262, 13211, 320, 284, 6358, 318, 7901, 263, 29239, 284, 271, 267, 16932, 8782, 259, 320, 815, 259, 262, 13211, 321, 284, 6358, 318, 7901, 263, 29239, 284, 274, 265, 7032, 270, 273, 267, 16932, 8782, 259, 321, 815, 259, 262, 13211, 16282, 815, 2039, 5334, 331, 3187, 8987, 276, 267, 476, 276, 267, 476, 272, 267, 9949, 284, 8987, 272, 267, 272, 1070, 6003, 8782, 343, 2070, 262, 13211, 344, 344, 815, 2039, 5334, 331, 3187, 8987, 276, 267, 476, 276, 267, 476, 272, 267, 9949, 284, 8987, 273, 267, 273, 1070, 6003, 8782, 344, 2070, 262, 13211, 8243, 334, 1278, 284, 13765, 7901, 263, 29239, 284, 32401, 4297, 1384, 1091, 815, 21762, 263, 1457, 29719, 26086, 6025, 1070, 339, 8203, 273, 266, 1457, 29719, 17635, 6025, 1070, 339, 8203, 273, 2020, 258, 567, 5590, 909, 519, 2076, 8681, 547, 12337, 519, 1899, 7533, 267, 1818, 782, 8942, 454, 258, 567, 547, 14458, 519, 1267, 865, 602, 621, 5654, 607, 8799, 607, 2009, 563, 288, 815, 630, 325, 3287, 284, 340, 6025, 1070, 344, 284, 341, 6025, 4297, 268, 326, 3287, 284, 340, 6025, 1070, 344, 284, 341, 6025, 4297, 12684, 1091, 4732, 574, 680, 1518, 4671, 3419, 14061, 13678, 680, 1518, 10797, 258, 567, 898, 568, 711, 4397, 602, 590, 720, 666, 2965, 1685, 519, 1899, 7533, 9819, 563, 258, 567, 1924, 267, 519, 1267, 10268, 949, 711, 581, 513, 10230, 1871, 607, 4397, 563, 258, 567, 12861, 513, 1434, 855, 9875, 1383, 602, 834, 4103, 257, 568, 14909, 563, 1467, 318, 15759, 1537, 815, 7533, 10490, 25722, 28083, 14720, 994, 1467, 318, 15759, 1537, 318, 13627, 815, 10230, 318, 15759, 1537, 10490, 28083, 14720, 25011, 271, 6540, 6255, 6447, 16868, 262, 283, 327, 275, 5447, 284, 22487, 285, 299, 8632, 17183, 9351, 815, 1269, 260, 338, 259, 21742, 327, 275, 285, 262, 260, 17218, 343, 263, 1467, 318, 15759, 1537, 11723, 6255, 6447, 16868, 262, 283, 327, 275, 5447, 284, 22487, 285, 299, 8632, 17183, 4399, 13627, 259, 4939, 338, 9572, 327, 273, 285, 262, 260, 1598, 263, 1467, 318, 15759, 1537, 318, 13627, 11723, 258, 567, 18140, 519, 1283, 1599, 1990, 815, 535, 3287, 11971, 264, 602, 568, 1373, 7471, 563, 294, 815, 4729, 274, 323, 6600, 267, 263, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 994, 294, 6834, 4729, 274, 323, 14116, 267, 263, 343, 267, 16282, 314, 271, 3910, 16282, 314, 272, 25818, 263, 344, 11971, 344, 314, 271, 3910, 344, 344, 314, 272, 25818, 641, 13369, 284, 271, 269, 273, 2020, 258, 567, 5410, 2230, 14258, 593, 519, 7252, 834, 629, 913, 257, 519, 6389, 7455, 630, 340, 6025 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5408, 2630, 1070, 4171, 2040, 568, 21566, 815, 476, 31979, 6924, 274, 273, 269, 4706, 9103, 1304, 568, 26420, 815, 476, 31404, 29876, 273, 780, 763, 3105, 6305, 568, 476, 31979, 19740, 280, 269, 634, 1985, 6305, 568, 476, 31979, 18733, 272, 269, 634, 30729, 540, 476, 31979, 18089, 272, 568, 476, 6200, 31648, 275, 780, 2005, 568, 513, 6126, 1297, 780, 2005, 568, 513, 5033, 760, 31870, 1317, 621, 568, 519, 1587, 540, 1079, 22136, 267, 543, 849, 513, 2349, 636, 8870, 267, 1317, 519, 1079, 22136, 616, 3160, 547, 476, 274, 1110, 476, 275, 267, 543, 849, 606, 900, 597, 335, 1307, 267, 2094, 922, 9258, 568, 513, 3982, 5033, 760, 31870, 281, 476, 6200, 31648, 275, 815, 476, 7742, 276, 1428, 278, 780, 2005, 568, 513, 28023, 1297, 780, 2005, 568, 711, 513, 632, 2717, 793, 659, 1297, 267, 1317, 476, 31979, 18089, 272, 910, 476, 21497, 815, 476, 30156, 278, 3451, 274, 568, 513, 6305, 780, 2005, 568, 513, 667, 4428, 15687, 1297, 780, 2005, 568, 513, 21412, 1297, 780, 2005, 568, 711, 606, 796, 18905, 762, 1297, 267, 1317, 621, 666, 581, 4957, 883, 513, 6305, 630, 31979, 18733, 272, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 538, 476, 274, 2081, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 585, 1383, 267, 476, 23056, 272, 1341, 3267, 1341, 476, 24907, 277, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 9818, 22213, 279, 6393, 29909, 15983, 267, 476, 25240, 22145, 4905, 568, 606, 3284, 32565, 1297, 780, 2005, 568, 606, 21443, 762, 1297, 780, 31979, 18089, 272, 568, 513, 28119, 1297, 267, 2094, 621, 568, 3677, 982, 519, 2040, 540, 922, 1697, 16975, 630, 6858, 274, 272, 6393, 31979, 18089, 272, 568, 606, 1226, 573, 580, 1388, 1297, 267, 2094, 621, 3096, 607, 1454, 607, 9704, 607, 922, 26458, 780, 31979, 18089, 272, 568, 606, 9409, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 1256, 780, 763, 2040, 540, 922, 6305, 2188, 568, 476, 6858, 274, 271, 780, 763, 1587, 540, 922, 630, 12061, 14706, 264, 9704, 568, 476, 1321, 267, 1247, 519, 2040, 568, 476, 1015, 780, 763, 4009, 3597, 540, 476, 31979, 18089, 272, 568, 827, 476, 10711, 273, 269, 25784, 4200, 273, 6321, 274, 278, 269, 634, 12945, 3597, 540, 476, 31979, 18089, 272, 568, 827, 476, 8182, 269, 4510, 273, 8064, 277, 279, 4037, 274, 780, 29002, 547, 476, 31979, 18089, 272, 922, 9258, 630, 6200, 31648, 275, 1070, 649, 1205, 513, 5493, 30308, 630, 276, 1691, 271, 6078, 276, 6393, 763, 10259, 540, 476, 31979, 18089, 272, 538, 1913, 568, 834, 27917, 2929, 267, 835, 4627, 13977, 8536, 267, 835, 4627, 835, 6231, 19667, 30583, 281, 476, 272, 476, 6924, 274, 476, 2568, 275, 278, 476, 31979, 18089, 272 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8999, 3709, 333, 284, 271, 11892, 315, 13727, 533, 3799, 32589, 18898, 815, 1422, 2889, 323, 3709, 330, 284, 272, 11892, 315, 13727, 1422, 2765, 346, 272, 2410, 263, 272, 14870, 317, 330, 264, 21456, 1892, 634, 10451, 1599, 585, 715, 9852, 333, 264, 568, 2016, 2630, 281, 314, 276, 2639, 7445, 8999, 3709, 332, 284, 10559, 13727, 11892, 315, 13727, 1422, 8999, 3709, 333, 284, 271, 11892, 315, 13727, 715, 9852, 19885, 264, 1990, 317, 332, 7117, 18898, 815, 476, 272, 1341, 1422, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 1422, 2765, 346, 336, 3867, 333, 317, 273, 24828, 2889, 323, 3709, 330, 284, 272, 11892, 333, 630, 476, 272, 910, 1990, 336, 317, 330, 7565, 272, 22271, 13064, 272, 348, 336, 317, 330, 264, 21456, 1892, 634, 10451, 1599, 585, 1627, 630, 562, 3738, 568, 2016, 2630, 281, 314, 277, 2639, 7445, 8999, 3709, 333, 284, 271, 11892, 315, 13727, 1627, 3799, 32589, 18898, 815, 1422, 2889, 323, 3709, 330, 284, 271, 11892, 315, 13727, 1422, 2765, 346, 272, 2410, 263, 272, 14870, 3867, 273, 330, 268, 272, 16585, 21456, 1892, 634, 10451, 1599, 585, 1627, 630, 544, 2073, 562, 3738, 568, 2016, 2630, 281, 314, 277, 2639, 7445, 8999, 3709, 332, 19885, 284, 271, 11892, 315, 13727, 1627, 9852, 19885, 264, 1990, 317, 332, 7117, 18898, 815, 476, 272, 1341, 1422, 8999, 3709, 338, 284, 272, 11892, 315, 13727, 1422, 2765, 346, 336, 3867, 338, 4433, 266, 272, 8358, 273, 12453, 263, 272, 22271, 336, 7565, 272, 22271, 336, 317, 273, 264, 1422, 26984, 630, 272, 22271, 336, 317, 338, 264, 10592, 21446, 622, 4214, 692, 14611, 2376, 281, 20736, 325, 2465, 4009, 692, 1103, 2036, 13541, 923, 267, 519, 8360, 7584, 540, 513, 15652, 568, 3006, 1031, 547, 4766, 513, 1114, 1523, 281, 519, 7584, 540, 513, 15652, 18494, 568, 519, 4102, 8870, 1775, 971, 602, 18494, 814, 693, 2547, 1775, 2694, 1142, 540, 799, 568, 1100, 4130, 982, 1775, 16804, 278, 316, 4982, 2526, 1836, 267, 713, 568, 519, 3259, 540, 519, 1292, 15497, 538, 519, 8479, 6516, 610, 12113, 516, 3464, 6516, 585, 18494, 267, 610, 519, 2427, 27480, 540, 519, 20736, 325, 2465, 4009, 540, 18494, 780, 763, 3349, 540, 16034, 540, 851, 1431, 540, 476, 276, 568, 2016, 2630, 780, 305, 3471, 540, 519, 851, 1431, 540, 519, 8870, 476, 276, 692, 8512, 819, 24419, 454, 346, 476, 276, 7684, 476, 272, 454, 346, 476, 275, 267, 476, 272, 7684, 476, 272, 454, 346, 476, 274, 267, 476, 273, 7684, 476, 273, 454, 346, 476, 274, 267, 476, 272, 267, 476, 272, 7684, 476, 272, 454, 346, 476, 273, 267, 476, 273, 267, 476, 272, 7684, 476, 273, 454, 346, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 272, 7684, 476, 272, 454, 346, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 7684, 476, 272, 692, 1892, 1306, 2096, 696, 5328, 12596, 585, 519, 7584, 15652, 1599, 281, 314, 279, 2639, 1892, 5556, 745, 1878, 585, 7584, 1599, 281, 314, 280, 2639, 1892, 4937, 5314, 540, 7584, 547, 645, 294, 8573, 1678, 281, 314, 1015, 6540, 290, 17213, 540, 513, 15652, 692, 27066, 692, 272, 269, 674, 269, 21619, 517, 630, 3707, 275, 1040, 834, 5278, 7058, 525, 538, 519, 3069, 540, 851, 1431, 2668, 25876, 6390, 630, 23173, 8822, 264, 476, 279, 281, 476, 1015, 1700, 1428, 563, 273, 269, 9745, 590, 12541, 643, 14505, 267, 10548, 534, 340, 13568, 630, 4489, 280, 1040, 834, 5278, 3601, 540, 533, 3799, 1070, 1297, 540, 851, 1431, 540, 562, 2668, 18619, 540, 519, 11062, 11096, 28441, 5980, 2473, 21197, 281, 476, 21709, 1700, 13975, 563, 274, 269, 9745, 589, 269, 744, 269, 700, 269, 2311, 7219, 282, 670, 269, 623, 269, 674, 269, 4210, 4883, 30639, 5937, 9807, 630, 4198, 275, 1040, 834, 5278, 3601, 540, 851, 1431, 2437, 269, 18619, 540, 519, 5507, 19556, 5980, 476, 5780, 630, 275, 2567, 476, 10019, 1700, 11793, 563, 275, 269, 9745, 717, 13034, 269, 10434, 344, 543, 661, 15030, 269, 19159, 630, 4350, 279, 1040, 1323, 4367, 547, 519, 3069, 540, 2338, 269, 5507, 281, 10228, 2160, 4964, 269, 533, 269, 1109, 28638, 563, 276, 269, 9745, 20780, 10458, 267, 22186, 12541, 630, 1220, 280, 1040, 834, 17812, 745, 1878, 585, 21619, 517, 781, 16034, 2668, 4139, 4750, 540, 7089, 7869, 476, 276, 630, 275, 1040, 8158, 476, 2190, 5437, 476, 1001, 273, 563, 277, 269, 9745, 513, 536, 12756, 3933, 802, 630, 1001, 271, 1040, 834, 10831, 5376, 6776, 3601, 540, 10451, 3252, 1644, 547, 21619, 517, 781, 7584, 585, 851, 1431, 883, 3982, 2694, 2668, 18619, 540, 519, 1977, 19556, 5980, 476, 15946, 281, 476, 4366, 272, 1700, 5392, 275, 269, 8222, 281, 1015, 269, 11820, 271, 4882, 1822, 273, 268, 4200, 274, 280, 268, 6021, 268, 1911, 10602, 14870, 269, 8158, 476, 2190, 5437, 476, 1001, 273, 563, 278, 269, 9745, 454, 279, 269, 9745, 20780, 2006, 267, 22186, 12541, 630, 20809, 476, 1220, 280, 1040, 834, 288, 22131, 696, 18352, 1280, 24419, 3487, 819, 12793, 2668, 3690, 13905, 2986, 634, 1977, 19556, 5980, 476, 3607, 272, 630, 278, 2567, 476, 4097, 279, 274, 1700, 12573, 271, 269, 8222, 281, 1015, 269, 11820, 271, 4882, 1822, 273, 268, 4200, 275, 278, 268, 6021, 268, 271, 3393, 7871, 14870, 269, 8158, 476, 2641, 5437, 476, 1001, 273, 563, 280, 269, 9745, 20780, 10458, 267, 22186, 12541, 269, 834, 17812, 745, 1878, 585, 21619, 517, 781, 7584, 2668, 8158, 476, 2641, 5437, 476, 1001, 273, 563, 1015, 269, 9745, 12138, 7137, 28325, 747, 543, 7671, 12275, 7079, 269, 834, 763, 645, 294, 8573, 1678, 540, 513, 15652, 543, 922, 3156, 2668, 8158, 476, 2641, 5437, 476, 1001, 273, 269, 0, 258, 15585, 1049, 18289, 692, 21776, 476, 277, 267, 476, 1001, 278, 1923, 8191, 281, 7254, 329, 30519, 7701, 1923, 21145, 281, 4911, 983, 28850, 636, 267, 674, 9689, 267, 20653, 6290, 267, 15585, 566, 267, 7136, 692, 2971, 10374, 13517, 692, 305, 582, 1049, 18289, 2055, 543, 2035, 13718, 2971, 13517, 692, 258, 314, 16942, 1109, 31695, 316, 717, 7838, 20084, 8085, 1948, 305, 582, 1049, 18289, 5426, 1107, 476, 272, 7726, 585, 6657, 667, 4916, 7304, 272, 476, 272, 780, 288, 3440, 15942, 1510, 11508, 1524, 606, 20916, 7077, 540, 476, 276, 305, 4463, 476, 273, 692, 273, 305, 692, 7785, 476, 276, 305, 270, 273, 692, 275, 305, 476, 2568, 692, 271, 692, 302, 692, 273, 780, 274, 780, 269, 898, 22613, 519, 5377, 540, 519, 20916, 7077, 543, 7575, 2059, 513, 9764, 8520, 540, 8953, 681, 269, 634, 3196, 25116, 676, 519, 3440, 693, 1448, 589, 568, 630, 320, 264, 8406, 630, 321, 264, 476, 273, 269, 276, 8406, 630, 322, 264, 476, 274, 269, 276, 8406, 630, 323, 264, 476, 275, 269, 276, 8406, 589, 3440, 20604, 476, 1428, 575, 568, 13615, 547, 513, 5569, 476, 1015, 4699, 1279, 269, 21231, 519, 3440, 568, 4371, 538, 2990, 971, 602, 519, 5569, 568, 8880, 269, 634, 3440, 568, 1631, 5950, 269, 589, 17970, 715, 568, 13883, 19794, 2630, 476, 278, 269, 519, 1489, 693, 513, 3845, 700, 269, 634, 5934, 1871, 540, 700, 971, 602, 519, 5569, 786, 581, 10138, 5180, 519, 17970, 568, 630, 320, 264, 476, 273, 4699, 630, 321, 264, 476, 275, 4699, 630, 322, 264, 476, 277, 4699, 630, 323, 264, 476, 279, 4699, 589, 3625, 540, 2527, 631, 568, 5116, 593, 513, 8880, 11508, 1652, 2627, 9474, 543, 513, 1560, 623, 540, 2527, 544, 568, 5950, 593, 922, 476, 279, 269, 11508, 1652, 9386, 269, 595, 623, 631, 589, 692, 275, 780, 276, 780, 277, 780, 304, 692, 289, 692, 2026, 623, 15942, 676, 513, 3259, 700, 593, 713, 9386, 540, 31007, 16564, 267, 519, 3625, 1627, 1131, 13472, 676, 513, 3845, 2433, 544, 544, 700, 5430, 16564, 630, 321, 264, 700, 630, 320, 264, 631, 631, 266, 332, 631, 266, 332, 20853, 5430, 16564, 630, 323, 264, 630, 322, 264, 20853, 5430, 16564, 544, 266, 300, 589, 1560, 540, 2527, 631, 543, 8953, 681, 568, 12902, 23276, 1510, 1793, 6235, 609, 3432, 642, 269, 898, 1287, 20061, 909, 513, 14629, 547, 513, 5021, 4463, 554, 269, 1403, 554, 815, 476, 276, 341, 273, 270, 277, 326, 267, 1018, 568, 519, 631, 15660, 269, 540, 519, 1560, 7790, 476, 273, 476, 272, 630, 321, 264, 19182, 273, 513, 264, 19182, 273, 476, 273, 476, 274, 476, 274, 476, 273, 476, 273, 630, 323, 264, 19182, 273, 630, 322, 264, 19182, 476, 275, 476, 276, 589, 7911, 543, 513, 812, 4163, 513, 7833, 11425, 540, 3259, 561, 23276, 476, 272, 538, 971, 513, 1259, 602, 519, 7911, 4991, 555, 540, 519, 4452, 269, 1403, 519, 7911, 568, 476, 275, 693, 835, 1439, 540, 519, 11425, 267, 1287, 519, 3845, 540, 519, 812, 689, 519, 824, 1439, 568, 476, 274, 331, 561, 476, 273, 331, 561, 630, 321, 264, 630, 322, 264, 630, 323, 264, 630, 320, 264, 476, 274, 476, 274, 476, 275, 476, 275, 589, 15790, 10938, 814, 9112, 513, 11442, 607, 3254, 538, 519, 7755, 334, 1456, 4453, 780, 280, 780, 2252, 519, 5860, 540, 519, 1570, 540, 519, 12106, 568, 476, 1321, 2053, 602, 540, 13409, 267, 519, 2990, 540, 519, 8998, 540, 2527, 540, 519, 11442, 568, 2016, 676, 2433, 630, 320, 264, 693, 513, 3845, 540, 476, 273, 305, 689, 744, 630, 321, 264, 693, 513, 3845, 540, 476, 274, 305, 689, 744, 630, 322, 264, 693, 513, 3845, 540, 476, 275, 305, 689, 744, 630, 323, 264, 693, 513, 3845, 540, 476, 276, 305, 689, 744, 589, 1978, 17919, 666, 979, 909, 513, 9543, 13141, 710, 609, 3586, 3432, 950, 519, 535, 2774, 1308, 3196, 540, 2666, 11319, 519, 15493, 8868, 952, 674, 273, 815, 476, 275, 715, 269, 2060, 1018, 3196, 674, 272, 1590, 519, 5832, 7485, 593, 519, 838, 13702, 564, 8868, 952, 681, 272, 815, 476, 276, 4699, 543, 681, 273, 815, 476, 1789, 4699, 7790, 630, 320, 264, 476, 275, 715, 630, 321, 264, 476, 2190, 715, 476, 3374, 715, 524, 264, 476, 9610, 715, 546, 264, 476, 275, 589, 5230, 1167, 568, 16207, 593, 513, 8880, 2627, 538, 971, 513, 1259, 602, 621, 15942, 609, 513, 3432, 966, 271, 7620, 1510, 12902, 269, 898, 786, 1376, 12902, 1510, 1793, 6235, 950, 922, 3432, 6971, 547, 2433, 966, 476, 273, 309, 271, 630, 321, 264, 630, 320, 264, 476, 271, 476, 273, 476, 274, 476, 276, 309, 271, 476, 274, 309, 271, 630, 322, 264, 546, 264, 476, 276, 476, 278, 589, 5230, 9325, 16304, 689, 513, 5569, 540, 3259, 561, 568, 15810, 23276, 609, 3432, 692, 6921, 1547, 634, 3432, 540, 519, 9325, 693, 519, 692, 4812, 1141, 519, 8082, 538, 519, 5569, 11224, 519, 2597, 540, 519, 9325, 568, 630, 320, 2020, 263, 273, 6921, 2020, 6357, 2020, 263, 274, 6921, 2020, 6262, 2020, 263, 6921, 1315, 476, 273, 2020, 5560, 2020, 263, 6921, 1315, 476, 274, 2020, 1015, 269, 589, 2527, 544, 568, 6462, 676, 513, 2527, 1652, 5569, 10138, 1472, 513, 7833, 12718, 540, 2527, 544, 543, 8953, 681, 267, 8431, 269, 2060, 1018, 934, 269, 786, 519, 2527, 2887, 593, 5305, 7790, 630, 320, 264, 476, 273, 326, 270, 274, 536, 264, 575, 270, 273, 524, 264, 575, 630, 323, 264, 476, 275, 326, 270, 274, 476, 1556, 269, 589, 9325, 540, 2527, 544, 815, 476, 276, 568, 3001, 609, 513, 7833, 3432, 642, 815, 476, 274, 18414, 273, 538, 519, 2473, 302, 312, 7077, 2059, 519, 1899, 586, 815, 1535, 1341, 476, 275, 269, 634, 9588, 540, 519, 16070, 11610, 827, 5169, 568, 630, 320, 264, 4642, 536, 264, 476, 2568, 1770, 630, 322, 264, 476, 278, 269, 276, 1770, 630, 323, 264, 476, 2412, 20734, 273, 476, 1321, 269, 589, 9325, 540, 2527, 544, 568, 15914, 538, 513, 7077, 538, 9764, 2619, 540, 8953, 678, 269, 4706, 16070, 11610, 568, 700, 269, 634, 1298, 686, 7065, 531, 3196, 9117, 593, 519, 9325, 568, 692, 5416, 2020, 299, 273, 32275, 692, 321, 2020, 1492, 3339, 540, 24880, 540, 519, 1482, 12718, 827, 606, 7852, 8429, 998, 922, 8998, 543, 3339, 547, 922, 3259, 561, 1287, 23241, 299, 273, 544, 678, 273, 692, 5416, 264, 700, 815, 681, 630, 321, 264, 700, 815, 476, 274, 681, 681, 630, 322, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 800, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 1240, 282, 7305, 590, 273, 267, 4737, 476, 3192, 1070, 12094, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 8287, 282, 7305, 590, 273, 267, 4737, 476, 2735, 1070, 5599, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 4097, 282, 7305, 590, 273, 267, 4737, 476, 1960, 1070, 543, 2837, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 7176, 282, 7305, 590, 273, 267, 4737, 476, 1220, 1040, 5403, 3620, 665, 2079, 4951, 602, 519, 1198, 540, 10980, 593, 13662, 293, 729, 3648, 3152, 982, 22289, 630, 395, 485, 273, 815, 476, 279, 269, 2004, 267, 533, 815, 476, 271, 269, 21916, 282, 7305, 590, 273, 267, 4737, 476, 21857, 1070, 12094, 630, 395, 485, 273, 815, 476, 1015, 269, 4905, 267, 533, 815, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 22724, 1070, 543, 2837, 2566, 630, 395, 485, 273, 815, 476, 275, 269, 2568, 267, 533, 815, 476, 271, 269, 6734, 282, 7305, 590, 273, 267, 4737, 476, 16348, 1040, 667, 3754, 2360, 593, 13662, 293, 941, 2147, 547, 21737, 17017, 321, 643, 800, 630, 395, 485, 273, 815, 476, 273, 269, 7830, 267, 533, 815, 476, 271, 269, 1556, 282, 7305, 590, 273, 267, 4737, 476, 26562, 264, 543, 5599, 6543, 485, 273, 815, 476, 271, 269, 5881, 267, 533, 815, 476, 271, 269, 8064, 282, 7305, 590, 273, 267, 4737, 476, 14838, 1070, 799, 941, 849, 2318, 855, 711, 19250, 1713, 269, 2353, 824, 2825, 21500, 1185, 2147, 9243, 2360, 593, 13662, 293, 630, 335, 3436, 476, 271, 269, 4962, 585, 782, 824, 2022, 3620, 665, 16198, 1040, 1284, 941, 8572, 547, 5659, 2360, 540, 1114, 2825, 21500, 593, 1114, 13662, 293, 3037, 6354, 2827, 1813, 547, 3668, 540, 6190, 2090, 269, 1703, 729, 1100, 2489, 1198, 540, 13662, 293, 609, 2825, 19717, 630, 8201, 476, 272, 289, 282, 533, 815, 476, 271, 269, 3199, 282, 7305, 590, 273, 267, 4737, 476, 24241, 1070, 543, 972, 941, 1100, 19717, 10391, 3604, 630, 304, 300, 815, 476, 271, 269, 3393, 267, 533, 815, 476, 271, 269, 3199, 282, 7305, 590, 273, 267, 9343, 476, 25546, 268, 13136, 1040, 7233, 27940, 2812, 3049, 10587, 941, 711, 9168, 676, 3595, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 8618, 282, 7305, 590, 273, 267, 4737, 476, 25546, 264, 610, 14324, 15606, 630, 8201, 476, 273, 289, 282, 533, 815, 476, 271, 269, 5780, 282, 7305, 590, 273, 267, 4737, 476, 13136, 1040, 1452, 18063, 1185, 2147, 9243, 2360, 593, 13662, 22661, 630, 395, 485, 273, 815, 476, 271, 269, 2412, 267, 533, 815, 476, 271, 269, 7871, 282, 7305, 590, 273, 267, 4737, 476, 30116, 1040, 5940, 7875, 766, 2360, 593, 1114, 13662, 293, 3037, 6354, 2827, 1223, 711, 581, 2417, 21630, 1813, 547, 519, 1970, 1297, 540, 2090, 563, 2710, 519, 12186, 540, 13662, 293, 543, 595, 4149, 5937, 966, 776, 9737, 10613, 13242, 547, 18430, 13662, 293, 3194, 888, 15371, 519, 4603, 729, 5342, 538, 519, 2361, 610, 8511, 12012, 519, 2360, 540, 6735, 543, 2566, 593, 2030, 2208, 267, 855, 711, 519, 1198, 540, 13662, 293, 630, 8201, 476, 274, 288, 1040, 1703, 729, 1100, 3017, 538, 519, 2360, 540, 2476, 8410, 1288, 539, 5288, 269, 1753, 8410, 1288, 539, 11934, 630, 395, 485, 273, 815, 476, 271, 269, 2190, 267, 533, 815, 476, 271, 269, 7830, 282, 7305, 590, 273, 267, 4737, 476, 9818, 264, 610, 3309, 5288, 269, 1875, 1673, 5744, 11934, 630, 395, 485, 273, 815, 476, 273, 269, 8618, 267, 533, 815, 476, 271, 269, 1556, 282, 7305, 590, 273, 267, 4737, 476, 10755, 264, 593, 2030, 2208, 1063, 2090, 1141, 519, 5955, 5123, 7018, 538, 519, 2361, 610, 8511, 269, 5525, 602, 1031, 2661, 543, 25062, 11934, 607, 519, 3037, 5955, 12879, 941, 1152, 5342, 538, 519, 8511, 269, 17957, 267, 6735, 4389, 2030, 2208, 950, 2371, 941, 6738, 538, 519, 2361, 630, 8201, 476, 274, 288, 282, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 5655, 264, 543, 519, 8511, 630, 8201, 476, 274, 288, 282, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 6246, 1070, 855, 519, 1198, 729, 476, 15946, 260, 6793, 538, 2361, 6901, 982, 8511, 6901, 630, 395, 485, 273, 815, 476, 4366, 269, 2641, 267, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 14338, 1040, 901, 7678, 729, 9141, 676, 4805, 14121, 6320, 6735, 2090, 1317, 954, 270, 842, 571, 10391, 6735, 2090, 941, 1152, 5342, 538, 519, 8511, 269, 8307, 21737, 17017, 321, 643, 800, 2566, 729, 5342, 538, 1312, 8511, 543, 2361, 5468, 267, 543, 3976, 621, 729, 519, 1152, 2566, 528, 649, 1223, 5659, 1063, 4603, 4087, 269, 3400, 4506, 17017, 321, 643, 800, 2566, 8476, 2030, 2208, 538, 519, 8511, 630, 8201, 476, 274, 288, 282, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 10170, 1070, 6466, 922, 2360, 593, 2030, 2208, 941, 9243, 538, 2361, 6901, 630, 8201, 476, 274, 288, 282, 533, 815, 476, 271, 269, 4366, 282, 7305, 590, 273, 267, 4737, 476, 3583, 1040, 3400, 4506, 17017, 321, 643, 800, 2566, 8476, 2030, 2208, 936, 476, 4968, 260, 811, 538, 8511, 6901, 982, 538, 2361, 6901, 630, 8201, 476, 274, 288, 282, 6543, 485, 273, 815, 476, 1556, 269, 4029, 267, 533, 2999, 476, 271, 269, 9826, 282, 7305, 590, 273, 267, 4737, 476, 14991, 1040, 5940, 7875, 766, 2090, 941, 1152, 7318, 538, 8511, 2175, 563, 8201, 476, 274, 269, 630, 288, 264, 6301, 2360, 540, 13662, 293, 267, 6735, 267, 2566, 267, 543, 19717, 543, 630, 289, 264, 5872, 2360, 540, 13662, 293, 1535, 6735, 543, 13662, 293, 1535, 2566, 1063, 2361, 543, 8511, 6901, 269, 19983, 2360, 540, 13662, 293, 1535, 6735, 543, 13662, 293, 1535, 2566, 616, 30714, 2066, 3037, 6354, 2827, 630, 331, 633, 270, 3122, 850, 267, 2476, 10774, 727, 267, 15860, 11721, 2426, 8336, 264, 543, 2066, 6735, 543, 2566, 6354, 2827, 269, 18438, 13063, 2099, 2539, 543, 5580, 23451, 540, 519, 6015, 11996, 269, 589, 3122, 529, 802, 5815, 1198, 7306, 3648, 1114, 689, 4642, 563, 763, 4205, 1063, 13662, 293, 543, 6735, 941, 9243, 538, 1312, 2361, 543, 8511, 6901, 630, 8201, 476, 274, 289, 282, 1627, 300, 815, 476, 273, 269, 7367, 267, 533, 815, 476, 271, 269, 2764, 282, 7305, 590, 273, 267, 9343, 476, 8687, 268, 9264, 264, 543, 2022, 3620, 665, 2079, 4951, 602, 891, 2360, 941, 2147, 1063, 2361, 543, 8511, 6901, 630, 395, 485, 273, 815, 476, 271, 269, 4817, 267, 533, 815, 476, 271, 269, 3451, 282, 7305, 590, 273, 267, 4737, 476, 25090, 1040, 2552, 9009, 547, 519, 4466, 602, 519, 1292, 1198, 540, 21737, 17017, 321, 643, 800, 729, 1152, 2318, 538, 8511, 6901, 267, 972, 729, 513, 5348, 1120, 2065, 1198, 540, 13662, 293, 543, 21737, 17017, 321, 643, 800, 1152, 538, 2361, 6901, 630, 8201, 476, 274, 289, 282, 533, 815, 476, 271, 269, 6860, 282, 7305, 590, 273, 267, 4737, 476, 1708, 1040, 769, 824, 1913, 267, 2476, 8410, 1288, 539, 267, 3742, 610, 3309, 3037, 8476, 2030, 2208, 896, 21737, 17017, 321, 643, 800, 538, 2361, 6901, 269, 1717, 267, 2022, 3620, 665, 2079, 4951, 602, 519, 5872, 540, 13662, 293, 543, 21737, 17017, 321, 643, 800, 538, 2361, 6901, 729, 711, 3648, 1114, 982, 519, 9243, 1198, 540, 13662, 293, 543, 21737, 17017, 321, 643, 800, 538, 8511, 6901, 630, 395, 485, 273, 815, 476, 273, 269, 4097, 267, 533, 815, 476, 271, 269, 1724, 282, 7305, 590, 273, 267, 4737, 476, 28803, 1040, 5940, 7875, 766, 4205, 609, 13662, 22661, 941, 1152, 7318, 538, 8511, 2175, 563, 1103, 2489, 267, 3037, 26912, 4918, 14555, 2707, 9168, 519, 1198, 540, 13662, 293, 593, 2030, 2208, 630, 8201, 476, 275, 288, 282, 1627, 300, 815, 476, 4097, 269, 11152, 267, 533, 2999, 476, 271, 269, 1822, 272, 282, 7305, 590, 273, 267, 9343, 476, 2537, 268, 2190, 1040, 589, 3118, 8410, 1288, 539, 267, 3742, 267, 610, 3309, 3037, 4389, 2030, 2208, 950, 3037, 26912, 4918, 729, 31411, 538, 519, 2361, 630, 8201, 476, 275, 288, 282, 533, 2999, 476, 271, 269, 1822, 272, 282, 7305, 590, 273, 267, 4737, 476, 2537, 264, 543, 8476, 2030, 2208, 950, 3037, 26912, 4918, 729, 31411, 538, 519, 8511, 630, 8201, 476, 275, 288, 282, 533, 815, 476, 271, 269, 23669, 282, 7305, 590, 273, 267, 4737, 476, 2190, 1040, 634, 1585, 3037, 5955, 6354, 2827, 849, 15527, 8335, 4470, 593, 519, 2707, 540, 519, 14555, 5123, 269, 15765, 3037, 4389, 2030, 2208, 950, 31411, 538, 519, 2361, 630, 335, 815, 476, 271, 269, 6734, 282, 7305, 590, 273, 267, 4737, 476, 2918, 264, 855, 1185, 1100, 1198, 593, 2030, 2208, 950, 31411, 538, 519, 8511, 630, 335, 815, 476, 271, 269, 2412, 282, 7305, 590, 273, 267, 4737, 476, 2767, 1040, 634, 2360, 540, 2476, 8410, 1288, 539, 3037, 593, 2030, 2208, 1705, 711, 4268, 1063, 2361, 8410, 1288, 539, 630, 335, 815, 476, 271, 269, 736, 282, 7305, 590, 273, 267, 4737, 476, 3066, 264, 610, 8511, 8410, 1288, 539, 3037, 630, 335, 815, 476, 271, 269, 2004, 282, 7305, 590, 273, 267, 4737, 476, 1789, 1916, 8201, 476, 275, 269, 630, 288, 264, 6301, 2360, 540, 13662, 293, 267, 6735, 267, 2566, 267, 543, 19717, 543, 630, 289, 264, 5872, 2360, 540, 13662, 293, 1535, 6735, 543, 13662, 293, 1535, 2566, 1063, 2361, 8410, 1288, 539, 543, 8511, 8410, 1288, 539, 3037, 26912, 4918, 269, 19983, 2360, 540, 13662, 293, 1535, 6735, 543, 13662, 293, 1535, 2566, 616, 30714, 2066, 3037, 6354, 2827, 630, 331, 633, 270, 3122, 850, 267, 2476, 10774, 727, 267, 15860, 11721, 2426, 8336, 264, 543, 2066, 6735, 543, 2566, 6354, 2827, 269, 18438, 13063, 2099, 2539, 543, 5580, 23451, 540, 519, 6015, 11996, 269, 589, 3122, 529, 802, 5815, 1198, 7306, 3648, 1114, 689, 4642, 563, 763, 5872, 540, 13662, 293, 543, 6735, 729, 13974, 9243, 1063, 6901, 602, 1031, 2361, 8410, 1288, 539, 543, 8511, 8410, 1288, 539, 26912, 4918, 630, 8201, 476, 275, 289, 282, 6543, 485, 273, 815, 476, 271, 269, 6860, 267, 533, 815, 476, 271, 269, 10019, 282, 7305, 590, 273, 267, 4737, 476, 26316, 1040, 769, 2489, 267, 519, 5872, 540, 13662, 293, 543, 2825, 2566, 729, 5594, 5348, 1120, 2065, 950, 3037, 26912, 4918, 729, 31411, 538, 519, 2361, 630, 8201, 476, 275, 289, 282, 1627, 300, 815, 476, 275, 269, 10844, 267, 533, 815, 476, 271, 269, 5400, 282, 7305, 590, 273, 267, 4737, 476, 13078, 1040, 901, 7678, 729, 2693, 9141, 676, 10980, 267, 22289, 267, 543, 21737, 17017, 321, 643, 800, 2090, 538, 799, 519, 3328, 2360, 540, 13662, 293, 543, 1142, 540, 891, 21500, 729, 2318, 267, 1498, 711, 19250, 1713, 269, 1717, 267, 2022, 3620, 665, 2079, 4951, 602, 519, 5872, 540, 13662, 293, 543, 2566, 609, 2361, 8410, 1288, 539, 3037, 26912, 4918, 729, 711, 3648, 1114, 982, 519, 9243, 1198, 540, 13662, 293, 543, 2566, 609, 8511, 8410, 1288, 539, 3037, 26912, 4918, 630, 395, 485, 273, 815, 476, 271, 269, 7367, 267, 533, 815, 476, 271, 269, 5325, 282, 7305, 590, 273, 267, 4737, 476, 17734, 1040, 17957, 267, 519, 5872, 540, 13662, 293, 543, 5599, 2566, 729, 5594, 5348, 1120, 2065, 950, 3037, 729, 31411, 538, 519, 8511, 630, 304, 300, 815, 476, 275, 269, 10463, 267, 533, 815, 476, 271, 269, 6021, 282, 7305, 590, 273, 267, 4737, 476, 21497, 1040, 589, 3118, 8410, 1288, 539, 267, 3742, 267, 610, 3309, 3037, 8476, 2030, 2208, 476, 4968, 260, 811, 896, 5599, 2566, 950, 3037, 26912, 4918, 729, 31411, 538, 519, 8511, 2864, 982, 31411, 538, 519, 2361, 630, 395, 485, 273, 815, 476, 274, 269, 10037, 267, 533, 815, 476, 271, 269, 4962, 282, 7305, 590, 273, 267, 4737, 476, 28510, 1040, 5525, 602, 26203, 2837, 941, 711, 3769, 538, 713, 2079, 607, 891, 2090, 1152, 3769, 8511, 8410, 1288, 539, 3037, 563, 1103, 2489, 267, 938, 13849, 20400, 7000, 1271, 3270, 602, 949, 5351, 11236, 540, 13662, 293, 896, 2067, 610, 2361, 2175, 1141, 2030, 268, 8690, 6735, 543, 2825, 21500, 616, 1455 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16475, 609, 524, 32292, 601, 888, 31690, 5060, 16475, 568, 519, 6074, 1106, 540, 1357, 1374, 16475, 8665, 269, 3509, 9367, 4096, 593, 524, 32292, 601, 547, 6023, 741, 16475, 3135, 269, 634, 524, 32292, 601, 1599, 568, 1031, 547, 8897, 519, 4881, 540, 519, 12380, 3760, 269, 2060, 524, 32292, 601, 267, 596, 666, 10375, 569, 4383, 782, 707, 5752, 2238, 538, 835, 1747, 269, 8713, 534, 601, 5673, 593, 1079, 1114, 17103, 281, 519, 3593, 8818, 543, 519, 1357, 3984, 23070, 269, 1411, 666, 15476, 7270, 267, 1852, 11890, 267, 1628, 4757, 6589, 267, 4558, 6119, 267, 543, 811, 609, 524, 32292, 601, 563, 9573, 534, 601, 568, 513, 3791, 5428, 1907, 267, 855, 16475, 7426, 666, 1683, 621, 538, 741, 3984, 15004, 269, 2368, 7426, 2709, 513, 6539, 602, 2488, 513, 524, 32292, 601, 779, 21370, 3593, 8818, 630, 294, 21397, 264, 585, 12380, 16475, 4566, 269, 1411, 849, 723, 519, 4781, 540, 23842, 31964, 609, 524, 32292, 601, 563, 20360, 3298, 5288, 269, 12380, 16475, 454, 21008, 532, 2773, 267, 10727, 267, 4027, 267, 543, 8897, 540, 946, 1131, 711, 2285, 596, 513, 2241, 13525, 540, 799, 3760, 568, 1732, 269, 634, 1483, 2601, 1946, 1082, 1357, 16984, 8359, 12380, 607, 741, 16475, 3760, 568, 519, 2186, 540, 6119, 543, 3252, 789, 20053, 547, 946, 269, 1403, 519, 3896, 3096, 6789, 303, 11783, 25892, 267, 9786, 7457, 267, 610, 9786, 14069, 18218, 6119, 267, 621, 1131, 991, 547, 581, 18799, 593, 519, 8837, 3760, 269, 3509, 824, 3758, 3029, 1107, 23285, 267, 5124, 267, 31964, 267, 3733, 21415, 267, 3092, 269, 1107, 666, 581, 2196, 1256, 811, 7561, 593, 513, 12380, 2861, 1357, 7746, 269, 1452, 6119, 616, 2907, 5665, 593, 513, 8837, 1357, 7746, 267, 855, 519, 12380, 3760, 568, 27358, 547, 960, 2047, 585, 891, 1239, 2010, 563, 13828, 5867, 798, 946, 14103, 6119, 543, 1224, 873, 538, 519, 1482, 6073, 267, 799, 5849, 602, 1034, 3044, 7270, 666, 1599, 1510, 1022, 1689, 13546, 11797, 269, 634, 1152, 3017, 1063, 1210, 12380, 543, 8837, 568, 513, 3099, 540, 3758, 2010, 267, 855, 950, 621, 2501, 547, 3902, 267, 12380, 568, 519, 1034, 1455, 4244, 1851, 1357, 16475, 7426, 563, 25387, 267, 3755, 1810, 1406, 723, 519, 4781, 547, 946, 519, 5665, 1062, 540, 741, 1357, 16475, 3028, 269, 769, 1034, 8320, 267, 713, 4781, 568, 1500, 585, 873, 267, 1317, 621, 568, 513, 12380, 16475, 1544, 269, 1717, 267, 538, 930, 2665, 267, 596, 666, 1265, 1357, 16475, 2533, 602, 1683, 513, 8837, 2861, 3760, 602, 2055, 799, 3760, 568, 1732, 563, 763, 29373, 1063, 519, 1079, 568, 6038, 11911, 547, 519, 10342, 2139, 547, 6800, 269, 898, 568, 711, 513, 2339, 540, 32636, 610, 8897, 540, 946, 547, 3442, 835, 936, 519, 824, 269, 2368, 3755, 4250, 602, 1210, 513, 7746, 593, 741, 1753, 2780, 824, 982, 741, 1357, 3984, 1131, 1267, 538, 2773, 2042, 543, 1118, 519, 3896, 8035, 762, 267, 855, 4986, 593, 519, 1357, 16475, 1062, 1131, 581, 2877, 547, 2196, 593, 707, 2780, 269, 17972, 4881, 593, 513, 12380, 3896, 1590, 581, 16887, 2966, 547, 2196, 593, 621, 543, 949, 711, 581, 519, 1482, 3301, 4881, 593, 707, 1753, 3684, 267, 1317, 596, 1810, 1406, 991, 547, 946, 12380, 2907, 563, 2252, 596, 4076, 12926, 1044, 513, 8837, 3593, 267, 543, 596, 3494, 621, 779, 2469, 547, 581, 4443, 547, 723, 513, 8837, 1357, 16475, 2272, 267, 602, 779, 1175, 606, 25619, 6644, 269, 589, 1357, 16475, 2272, 4881, 593, 8837, 1281, 711, 1611, 602, 596, 666, 1294, 513, 1376, 10624, 7735, 610, 513, 18376, 12835, 269, 589, 1357, 16475, 7746, 3085, 1406, 1413, 899, 602, 267, 1256, 1498, 621, 779, 5665, 8837, 269, 634, 3593, 1995, 540, 519, 12380, 16475, 2272, 1131, 581, 519, 1482, 607, 519, 8837, 2272, 269, 0, 7628, 1250, 1153, 17058, 538, 918, 13083, 1092, 538, 519, 2034, 3368, 540, 519, 476, 3422, 271, 338, 267, 1034, 14786, 3370, 14412, 4303, 9360, 269, 589, 20443, 4183, 540, 891, 9360, 729, 513, 2243, 281, 568, 3487, 819, 26464, 888, 763, 2243, 729, 24669, 269, 12344, 5266, 29462, 676, 519, 1964, 540, 3127, 585, 7247, 3487, 819, 2443, 543, 519, 3520, 5558, 2404, 609, 621, 2443, 729, 21246, 958, 513, 3345, 4095, 1995, 269, 634, 4013, 3965, 540, 3487, 819, 1185, 721, 3494, 602, 621, 729, 519, 608, 21402, 540, 27734, 543, 27566, 338, 689, 7262, 23570, 543, 590, 785, 602, 729, 782, 1271, 269, 4427, 2425, 550, 3332, 4098, 689, 10609, 2313, 342, 656, 19453, 779, 21541, 547, 9031, 543, 25759, 609, 519, 751, 4582, 2213, 4528, 540, 23111, 553, 538, 519, 3735, 268, 2735, 271, 338, 267, 546, 342, 3881, 693, 3259, 609, 519, 26481, 949, 1335, 602, 4553, 519, 5373, 540, 519, 7101, 743, 858, 324, 7412, 538, 835, 851, 540, 3127, 563, 763, 6161, 729, 16048, 269, 1717, 267, 972, 729, 1776, 3487, 819, 538, 9456, 3127, 602, 3238, 19377, 543, 20109, 513, 7944, 540, 2667, 600, 269, 2334, 3487, 819, 1185, 922, 1378, 6384, 269, 634, 608, 21402, 540, 27734, 689, 5101, 9031, 547, 4639, 19377, 267, 585, 1383, 267, 4769, 1406, 4755, 782, 693, 2899, 855, 7018, 538, 11775, 543, 568, 1869, 5571, 269, 1717, 267, 602, 1995, 729, 1312, 896, 1673, 29545, 543, 9763, 609, 5266, 1447, 8515, 676, 519, 6554, 540, 26836, 1695, 22611, 531, 3026, 327, 745, 269, 19377, 529, 759, 5034, 713, 25641, 2126, 543, 267, 538, 519, 1184, 267, 2919, 606, 4550, 31588, 516, 14820, 602, 1869, 26251, 547, 713, 1554, 269, 634, 20494, 341, 1734, 941, 5402, 10114, 3293, 676, 267, 1101, 267, 519, 19797, 3350, 543, 267, 13604, 267, 676, 519, 6237, 5428, 602, 1631, 3652, 4639, 19377, 563, 289, 5802, 569, 6340, 267, 713, 729, 519, 2796, 540, 519, 1585, 4930, 602, 6743, 547, 513, 1554, 950, 519, 1079, 15622, 1023, 1223, 581, 556, 10595, 1243, 543, 519, 27734, 540, 9456, 19377, 1223, 2132, 547, 519, 2244, 540, 741, 2062, 15289, 338, 269, 4438, 519, 2196, 5346, 547, 519, 16273, 2112, 267, 713, 20772, 729, 693, 922, 8445, 269, 898, 729, 1152, 1310, 476, 3192, 273, 543, 519, 5250, 540, 519, 1007, 2197, 602, 621, 2968, 1582, 17272, 1211, 602, 13059, 547, 741, 19644, 9456, 19377, 729, 1631, 606, 791, 1601, 2225, 269, 769, 519, 7766, 2947, 5756, 267, 519, 6161, 3884, 1406, 827, 513, 2132, 543, 22653, 2305, 855, 513, 5855, 602, 4639, 19377, 786, 581, 9927, 883, 513, 4639, 16273, 543, 602, 782, 786, 581, 4503, 585, 19377, 779, 9699, 2551, 563, 763, 5855, 949, 3100, 838, 21874, 547, 1082, 945, 3100, 14955, 1356, 2740, 676, 519, 3500, 15295, 7004, 540, 519, 3557, 267, 855, 621, 1131, 581, 1250, 8084, 547, 14962, 922, 3395, 3180, 593, 519, 14820, 540, 19377, 269, 769, 2395, 547, 2097, 267, 713, 568, 3808, 547, 3310, 2797, 5447, 906, 538, 519, 3557, 1256, 811, 25340, 563, 763, 2856, 540, 513, 4503, 1158, 568, 2141, 2352, 585, 2950, 547, 7558, 269, 1703, 616, 1082, 9082, 585, 7247, 519, 2243, 540, 2132, 547, 519, 2244, 540, 741, 2062, 15289, 338, 568, 1631, 606, 791, 1601, 2225, 269, 634, 16586, 689, 590, 3796, 807, 543, 5101, 2398, 17892, 941, 17801, 1227, 18274, 539, 1310, 476, 3707, 276, 543, 519, 3338, 759, 9116, 1194, 609, 2717, 525, 269, 634, 16586, 540, 14181, 564, 523, 1633, 1932, 11124, 519, 1482, 12556, 269, 27819, 1079, 22188, 540, 1018, 729, 21640, 1991, 547, 476, 4489, 279, 1793, 5792, 856, 540, 1852, 1310, 519, 4708, 14097, 269, 9699, 590, 785, 20130, 267, 24903, 835, 540, 519, 1034, 29426, 2950, 540, 3127, 267, 616, 2221, 513, 1004, 1510, 513, 2244, 269, 1703, 616, 12194, 602, 971, 513, 12556, 1223, 7753, 519, 6805, 9082, 540, 519, 932, 8636, 698, 784, 10830, 570, 847, 338, 563, 763, 791, 1601, 2225, 540, 2132, 585, 1346, 945, 19679, 593, 2272, 540, 741, 5132, 543, 14940, 568, 31903, 676, 519, 7004, 540, 519, 3312, 4630, 601, 1343, 269, 7831, 3018, 267, 594, 1224, 513, 5048, 689, 513, 15622, 8932, 9699, 561, 3512, 532, 519, 2530, 540, 513, 918, 8932, 11454, 538, 7195, 1276, 6017, 602, 26328, 513, 2027, 1747, 538, 519, 12271, 540, 19377, 529, 269, 634, 11454, 568, 1869, 538, 6228, 543, 267, 27229, 267, 972, 568, 513, 5033, 4565, 766, 540, 10847, 602, 568, 11173, 2443, 693, 2547, 593, 2027, 14026, 269, 1809, 519, 2856, 540, 513, 11454, 602, 6818, 538, 519, 22984, 540, 513, 2146, 540, 26902, 26802, 814, 8854, 11014, 269, 1703, 616, 1175, 1100, 27734, 2451, 538, 7195, 1276, 6017, 543, 519, 11454, 814, 1044, 4389, 547, 513, 882, 545, 540, 513, 676, 19079, 2085, 269, 3465, 636, 2406, 267, 713, 568, 2693, 547, 581, 519, 12556, 540, 519, 575, 6324, 8705, 553, 538, 918, 5429, 2094, 519, 608, 21402, 540, 519, 3003, 27566, 2146, 689, 15787, 568, 513, 2339, 540, 942, 563, 763, 2013, 540, 1018, 729, 2899, 5219, 547, 607, 918, 2378, 597, 6017, 538, 15787, 568, 3226, 4277, 269, 7377, 4327, 676, 9082, 945, 941, 17801, 1227, 1114, 689, 2279, 724, 753, 538, 30240, 13102, 267, 519, 9082, 540, 918, 2378, 597, 6017, 4553, 3909, 2853, 602, 941, 19918, 741, 1378, 543, 7948, 1406, 581, 561, 22981, 883, 519, 824, 22555, 5132, 338, 540, 519, 3148, 269, 901, 729, 519, 3510, 2394, 4571, 268, 736, 628, 2540, 950, 27685, 1235, 689, 9031, 609, 519, 5351, 540, 1533, 1379, 15841, 513, 5859, 547, 2490, 918, 2378, 597, 6017, 883, 606, 9099, 10093, 269, 634, 3148, 729, 26948, 715, 584, 6017, 543, 519, 9082, 711, 1152, 17947, 5771, 855, 2968, 922, 1034, 10178, 520, 673, 13794, 269, 1323, 3003, 2528, 20374, 563, 2467, 616, 2043, 945, 1869, 7038, 18765, 540, 606, 22638, 22653, 2305, 540, 519, 1016, 29657, 269, 634, 27742, 602, 3391, 891, 9909, 616, 3288, 644, 762, 543, 267, 952, 4986, 267, 3895, 513, 2143, 1353, 540, 1686, 543, 1256, 12667, 4831, 2399, 783, 1686, 269, 1717, 267, 15738, 547, 519, 22653, 2305, 540, 519, 1079, 4436, 903, 1310, 476, 3393, 1296, 540, 9668, 3884, 1406, 4051, 633, 269, 634, 6498, 540, 5125, 1310, 476, 3707, 276, 729, 2797, 269, 1809, 621, 7012, 1406, 10483, 676, 513, 2686, 11634, 1143, 269, 1879, 513, 2686, 11634, 1143, 267, 607, 814, 5949, 1063, 3127, 543, 9031, 267, 610, 606, 6803, 556, 867, 1359, 267, 607, 5949, 538, 5125, 779, 5449, 9456, 11182, 267, 3217, 1747, 267, 513, 2132, 547, 606, 7329, 22690, 545, 2250, 3587, 606, 791, 1601, 2225, 563, 296, 337, 1042, 550, 1143, 568, 11509, 543, 538, 4686, 2665, 519, 9583, 7543, 568, 1500, 547, 4755, 269, 1809, 538, 1034, 2665, 513, 1007, 3339, 3587, 26464, 563, 2467, 568, 513, 2013, 585, 4974, 519, 1686, 540, 519, 3487, 819, 540, 3127, 543, 1256, 1527, 1746, 689, 519, 9073, 8149, 676, 519, 2797, 5718, 269, 1717, 267, 547, 4126, 602, 519, 9219, 540, 1686, 666, 581, 5828, 1394, 568, 513, 10398, 539, 3195, 269, 2311, 1655, 649, 666, 2161, 8550, 11088, 269, 0, 288, 4756, 568, 513, 2012, 2016, 547, 513, 4859, 1858, 602, 938, 3292, 666, 13861, 269, 3962, 4756, 538, 595, 258, 814, 513, 1808, 1826, 267, 799, 11887, 519, 2450, 543, 11768, 540, 519, 4756, 781, 3965, 519, 2039, 540, 2418, 602, 666, 581, 6740, 1369, 602, 3965, 543, 519, 1305, 540, 4238, 602, 666, 581, 4294, 547, 519, 4756, 563, 763, 4632, 538, 595, 258, 267, 616, 19040, 883, 519, 1739, 2010, 281, 10025, 267, 13129, 543, 7313, 5793, 2010, 563, 19368, 1826, 4632, 666, 581, 8655, 513, 1871, 2047, 269, 1358, 616, 6508, 689, 519, 1362, 1062, 269, 19368, 13911, 563, 763, 4704, 2010, 798, 711, 2270, 519, 4890, 1239, 6740, 538, 513, 4756, 267, 855, 789, 2270, 513, 4704, 547, 519, 4632, 563, 8794, 2789, 4632, 267, 519, 4704, 2010, 666, 3277, 547, 513, 3965, 4087, 269, 1403, 519, 1239, 538, 519, 3965, 4087, 568, 4957, 676, 835, 540, 519, 4632, 267, 519, 824, 4756, 8850, 9356, 713, 1689, 538, 1871, 269, 7151, 540, 3710, 2987, 4704, 2010, 616, 281, 1843, 267, 6422, 267, 543, 5569, 563, 22437, 5793, 1826, 4632, 4558, 519, 3965, 2232, 540, 1776, 1826, 563, 2304, 11346, 568, 513, 3090, 602, 6645, 519, 29085, 547, 1685, 1808, 6310, 610, 9266, 6354, 2827, 563, 763, 1739, 616, 519, 12427, 6567, 0, 301, 328, 826, 2506, 12568, 543, 26790, 454, 347, 301 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2907, 513, 1883, 538, 519, 9598, 454, 2018, 952, 3186, 711, 538, 1582, 3052, 1429, 912, 3546, 1948, 1039, 519, 3186, 607, 513, 1883, 538, 519, 3113, 9598, 543, 1577, 922, 1871, 581, 513, 9598, 454, 3546, 1582, 3052, 1429, 314, 323, 652, 316, 815, 31460, 3546, 1948, 538, 519, 3186, 9598, 1039, 519, 3186, 607, 513, 1883, 543, 1305, 922, 1871, 547, 519, 1942, 5293, 883, 519, 8044, 618, 454, 3546, 1582, 3052, 1429, 314, 323, 652, 6012, 338, 21683, 316, 815, 1942, 692, 2018, 1948, 1100, 991, 547, 1039, 519, 521, 21683, 607, 513, 1883, 865, 1175, 1039, 519, 3186, 543, 1942, 547, 519, 521, 21683, 9598, 454, 2018, 3116, 912, 3546, 1582, 3052, 1429, 314, 323, 652, 6012, 338, 21683, 316, 815, 1942, 454, 1038, 1948, 1039, 519, 2707, 543, 10278, 883, 14622, 547, 1065, 525, 550, 602, 789, 616, 1312, 31425, 538, 519, 3113, 454, 1038, 1582, 269, 3200, 1182, 14491, 4433, 21683, 994, 1038, 1582, 269, 3200, 1182, 14491, 5560, 652, 2020, 825, 1948, 1505, 1031, 547, 4159, 519, 3113, 607, 513, 8642, 454, 825, 1219, 4159, 14682, 1429, 4311, 17107, 1038, 1948, 1711, 513, 9859, 3113, 454, 1038, 4159, 815, 3060, 343, 6185, 328, 20877, 10797, 1038, 1948, 31467, 998, 782, 519, 31425, 543, 1039, 873, 607, 513, 6843, 538, 519, 9859, 3113, 454, 1038, 585, 14584, 538, 1582, 269, 3200, 1182, 912, 2018, 4159, 14491, 17045, 263, 591, 23753, 2020, 1038, 1948, 8520, 998, 782, 519, 10569, 4433, 1545, 264, 9598, 538, 519, 3113, 9598, 543, 1039, 519, 521, 21683, 910, 3186, 607, 606, 6316, 543, 519, 1942, 607, 513, 561, 762, 547, 519, 9859, 3113, 454, 1038, 585, 521, 21683, 538, 1582, 3052, 1429, 912, 2018, 585, 3186, 538, 1582, 3052, 1429, 314, 338, 21683, 14158, 3546, 4159, 14491, 318, 8354, 4433, 21683, 267, 3186, 267, 2597, 284, 1345, 3052, 1429, 314, 338, 21683, 6012, 323, 652, 20285, 1038, 1948, 1247, 8520, 547, 7227, 585, 519, 3593, 547, 5734, 4283, 547, 3136, 454, 1038, 1247, 6936, 1384, 2018, 1948, 2990, 519, 9136, 1510, 6316, 28963, 454, 2018, 1064, 815, 3060, 343, 269, 17839, 541, 9078, 599, 719, 263, 5891, 2020, 2018, 1948, 561, 762, 519, 8728, 609, 519, 1942, 689, 521, 21683, 547, 3186, 454, 2018, 10297, 815, 3060, 343, 10947, 318, 8354, 318, 3430, 1026, 2373, 263, 5891, 267, 834, 7076, 15419, 2018, 1948, 2721, 519, 9136, 540, 519, 11708, 1759, 593, 519, 2990, 3989, 4505, 454, 2018, 3060, 343, 6155, 3863, 263, 5891, 267, 1064, 267, 609, 9078, 629, 1564, 18989, 267, 6843, 15481, 284, 4335, 267, 6843, 318, 10233, 6889, 1042, 2580, 21985, 1125, 284, 1428, 2020, 2018, 1948, 2721, 519, 8728, 540, 519, 3113, 1759, 593, 519, 2990, 3989, 4505, 454, 2018, 3060, 343, 6155, 3863, 5332, 564, 1740, 343, 318, 8354, 9078, 629, 1564, 263, 5891, 267, 1064, 267, 6316, 9078, 629, 1564, 284, 18350, 1564, 2020, 2018, 1948, 4159, 519, 3113, 543, 1450, 519, 1982, 547, 3136, 454, 2018, 12301, 20481, 263, 23026, 25716, 2020, 2018, 1948, 23249, 519, 1982, 11056, 865, 602, 519, 3113, 823, 666, 581, 21235, 454, 2018, 12301, 4877, 1021, 263, 269, 272, 994, 2018, 1775, 815, 3403, 2891, 303, 2313, 4283, 547, 3136, 15419, 2018, 1948, 2312, 519, 8642, 454, 2018, 12301, 17085, 325, 10797, 2018, 1948, 2736, 519, 8520, 950, 3403, 568, 3177, 454, 2018, 952, 711, 1775, 912, 3546, 2736, 692, 3698, 1292, 10031, 825, 3113, 815, 8641, 10797, 825, 12693, 1133, 1260, 618, 519, 1899, 2630, 547, 5512, 796, 573, 27399, 3113, 12693, 454, 825, 1948, 23054, 18994, 289, 573, 27399, 815, 8771, 692, 825, 3113, 14491, 318, 8354, 2891, 320, 2580, 834, 321, 2580, 476, 278, 994, 825, 3113, 14491, 318, 8354, 2891, 320, 2580, 834, 322, 2580, 476, 280, 994, 825, 3113, 14491, 318, 8354, 2891, 320, 2580, 834, 325, 2580, 476, 1691, 994, 825, 3113, 14491, 318, 8354, 2891, 321, 2580, 834, 322, 2580, 476, 1015, 994, 825, 3113, 14491, 318, 8354, 2891, 321, 2580, 834, 323, 2580, 476, 1428, 994, 825, 3113, 14491, 318, 8354, 2891, 322, 2580, 834, 323, 2580, 476, 1556, 994, 825, 3113, 14491, 318, 8354, 2891, 322, 2580, 834, 325, 2580, 476, 273, 994, 825, 3113, 14491, 318, 8354, 2891, 322, 2580, 834, 326, 2580, 476, 277, 994, 825, 3113, 14491, 318, 8354, 2891, 323, 2580, 834, 324, 2580, 476, 277, 994, 825, 3113, 14491, 318, 8354, 2891, 324, 2580, 834, 325, 2580, 476, 280, 2020, 825, 18760, 815, 22748, 614, 2891, 320, 2580, 3113, 994, 825, 18760, 10947, 24786, 2891, 325, 5602, 825, 18760, 31428, 318, 709, 1154, 4671, 762, 4590, 825, 3113, 269, 5891, 14682, 1429, 10797, 825, 18760, 4671, 6851, 815, 22748, 614, 2891, 321, 2580, 3113, 994, 825, 18760, 31927, 318, 709, 614, 2891, 322, 5602, 825, 18760, 4671, 6851, 31428, 318, 709, 1154, 4671, 762, 4590, 825, 3113, 269, 5891, 14682, 1429, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 5814, 19523, 692, 258, 901, 3009, 14509, 538, 7440, 543, 17838, 1346, 11378, 547, 8918, 2338, 454, 14140, 20311, 815, 10581, 4433, 903, 27769, 341, 314, 272, 7481, 16149, 20311, 815, 10581, 4433, 903, 27769, 341, 314, 273, 20285, 258, 2659, 3009, 4422, 1934, 2336, 14310, 23544, 815, 1101, 20311, 1341, 2034, 20311, 454, 14310, 5091, 29924, 815, 1101, 20311, 910, 2034, 20311, 454, 14310, 7272, 6055, 815, 1101, 20311, 2608, 2034, 20311, 454, 14310, 318, 638, 582, 1304, 815, 1101, 20311, 270, 16149, 20311, 454, 2745, 6600, 257, 346, 14140, 20311, 348, 7132, 2715, 16149, 20311, 348, 11224, 2715, 14310, 23544, 348, 5602 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1158, 1927, 2439, 5575, 267, 4952, 3054, 11504, 513, 18512, 2773, 538, 606, 3504, 14655, 14364, 4904, 609, 7524, 4778, 267, 9159, 2575, 267, 543, 10578, 3197, 269, 2052, 596, 1294, 621, 286, 6153, 256, 3767, 267, 649, 786, 1451, 827, 875, 1346, 6909, 4249, 3357, 547, 1272, 998, 1404, 8586, 780, 25440, 8586, 3322, 13167, 19929, 267, 3527, 267, 543, 11673, 585, 11051, 547, 3142, 513, 1650, 9800, 593, 3942, 269, 898, 781, 899, 7206, 513, 4605, 1210, 1913, 256, 1280, 1383, 267, 513, 31075, 949, 2328, 1945, 899, 713, 1384, 263, 23322, 13788, 267, 8876, 513, 4190, 11344, 26816, 1181, 8094, 3201, 296, 281, 13259, 267, 594, 723, 8452, 1175, 538, 942, 585, 1250, 4651, 781, 6264, 21649, 256, 1809, 1141, 616, 782, 519, 14538, 2496, 3086, 267, 3085, 1405, 602, 1118, 596, 8049, 827, 1946, 18498, 14659, 646, 781, 3735, 543, 1141, 3025, 3116, 568, 286, 2334, 781, 835, 1259, 24420, 23412, 1711, 10761, 543, 4497, 9458, 2439, 4131, 781, 1413, 6251, 693, 14655, 1404, 8586, 4481, 269, 3509, 2757, 14655, 4249, 4183, 10477, 536, 18054, 1513, 630, 5658, 1115, 1070, 9589, 7068, 267, 15438, 543, 30842, 267, 8797, 1455, 619, 267, 543, 22539, 8941, 540, 2648, 267, 7045, 267, 543, 5837, 4245, 269, 5994, 1603, 513, 6429, 2921, 1747, 538, 513, 14297, 536, 18054, 541, 2407, 540, 29549, 14546, 267, 695, 20810, 532, 17234, 267, 543, 7874, 8188, 29541, 936, 5370, 269, 1215, 1131, 596, 4766, 519, 4259, 267, 519, 1004, 267, 543, 741, 4205, 286, 1548, 2186, 540, 4664, 798, 596, 1616, 707, 5304, 547, 1745, 1282, 713, 6429, 286, 5775, 342, 1359, 2055, 899, 891, 2337, 1628, 909, 513, 12667, 543, 19278, 1995, 780, 11101, 267, 1082, 5929, 14655, 4249, 6451, 6965, 267, 30053, 267, 543, 8964, 267, 4946, 6106, 540, 3178, 543, 5898, 547, 519, 1893, 1031, 1369, 873, 269, 901, 2306, 1620, 519, 2686, 2796, 1898, 950, 16042, 971, 1568, 269, 1635, 1565, 827, 14655, 3332, 267, 1686, 267, 543, 1514, 8155, 267, 14971, 24420, 23412, 2744, 3407, 4030, 547, 3132, 8903, 4773, 780, 2414, 9414, 713, 1523, 2417, 267, 2015, 513, 4583, 6648, 676, 681, 26619, 267, 513, 26060, 14655, 10564, 1384, 257, 290, 727, 267, 2097, 267, 945, 1197, 596, 616, 269, 654, 663, 19907, 267, 26902, 23803, 267, 24158, 540, 6028, 269, 744, 2720, 568, 1100, 1286, 24170, 540, 21817, 269, 22067, 267, 1256, 952, 596, 723, 7745, 707, 642, 3298, 513, 8536, 2053, 269, 22067, 267, 2943, 1586, 267, 2097, 267, 2097, 3010, 1692, 1223, 596, 946, 2609, 689, 713, 6648, 547, 8300, 5188, 1063, 1079, 3197, 5275, 25863, 538, 707, 1378, 1404, 286, 15154, 21176, 2636, 721, 547, 1102, 2224, 3638, 2495, 6508, 689, 5553, 6040, 7326, 883, 2413, 6386, 780, 7661, 267, 3314, 602, 1169, 1390, 1404, 6238, 609, 606, 2856, 267, 4553, 676, 6297, 4058, 543, 26004, 269, 11020, 10445, 1114, 4798, 267, 5468, 267, 543, 1915, 2010, 6273, 676, 14655, 2528, 269, 6657, 1603, 2110, 10207, 6220, 1585, 5339, 3457, 543, 2553, 5941, 2429, 713, 1770, 269, 21664, 609, 9905, 6770, 1648, 543, 4195, 5380, 282, 4061, 267, 1810, 1405, 19292, 547, 2671, 707, 960, 543, 1683, 16268, 5955, 547, 1866, 780, 1103, 3932, 267, 14655, 1404, 8586, 3091, 11995, 7399, 585, 3860, 4082, 1247, 10962, 2189, 3344, 540, 5664, 8109, 12416, 269, 3414, 4974, 3140, 543, 4207, 1568, 7258, 3946, 6823, 2259, 267, 596, 1932, 666, 3565, 6209, 2984, 14120, 1480, 2833, 2066, 4529, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 3269, 295, 1515, 8967, 2001, 257, 693, 519, 3345, 1744, 648, 8535, 20989, 454, 257, 300, 10397, 23183, 10590, 693, 519, 3345, 1744, 648, 8535, 20989, 454, 10454, 8535, 2494, 257, 693, 634, 1234, 14410, 8535, 20989, 454, 257, 30681, 7754, 257, 693, 519, 3345, 1744, 648, 8535, 20989, 454, 257, 15578, 570, 4456, 5058, 257, 693, 11833, 595, 2378, 2946, 454, 21202, 8863, 3036, 4785, 700, 12114, 257, 693, 634, 1234, 14410, 8535, 20989, 454, 763, 1234, 14410, 8535, 20989, 540, 20523, 11785, 8118, 922, 4005, 609, 519, 30140, 2442, 589, 932, 11501, 7412, 267, 799, 1101, 8118, 593, 16340, 3118, 538, 476, 3192, 276, 269, 589, 932, 11501, 7412, 3217, 519, 5304, 883, 513, 9583, 8076, 16213, 1289, 585, 519, 2468, 1255, 6937, 1107, 2576, 945, 666, 7544, 267, 2206, 543, 957, 269, 634, 8689, 267, 5097, 4862, 689, 513, 10584, 267, 6499, 811, 856, 540, 891, 2912, 1431, 676, 31392, 1142, 11134, 7866, 267, 711, 1152, 741, 4128, 585, 4742, 23929, 267, 855, 741, 3006, 1790, 664, 995, 3460, 538, 8757, 741, 3853, 563, 763, 16134, 540, 519, 29278, 9967, 540, 513, 3109, 3774, 954, 577, 4474, 609, 8272, 549, 1042, 8440, 568, 811, 982, 2614, 547, 13686, 1142, 25249, 262, 2984, 267, 543, 15472, 5759, 269, 1306, 609, 1022, 2912, 819, 267, 972, 941, 2178, 12644, 267, 607, 1134, 607, 930, 799, 530, 518, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25324, 1014, 7591, 8586, 257, 607, 851, 540, 834, 11403, 24717, 1315, 5664, 8109, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 634, 28249, 540, 6014, 14740, 267, 2657, 2598, 1706, 885, 267, 543, 8889, 538, 5840, 692, 7072, 912, 2026, 5018, 538, 519, 2546, 1349, 267, 2860, 568, 513, 3395, 6161, 1851, 1762, 4079, 5001, 269, 769, 1249, 267, 1382, 2982, 602, 1978, 5095, 267, 1519, 7642, 2713, 538, 5375, 7239, 267, 1995, 2362, 3928, 540, 2860, 3379, 547, 1866, 269, 1306, 2104, 3401, 267, 3609, 15670, 267, 543, 15156, 267, 621, 781, 1898, 547, 1174, 875, 891, 1072, 13103, 12969, 609, 3909, 3961, 267, 2686, 2853, 267, 543, 2797, 3889, 269, 3414, 3695, 519, 3140, 2796, 267, 4207, 2152, 267, 543, 1761, 3435, 267, 713, 1576, 786, 1683, 596, 609, 513, 4514, 7071, 540, 519, 1950, 2188, 12018, 1857, 1072, 4507, 538, 5840, 543, 3564, 780, 4089, 476, 272, 281, 8466, 12745, 910, 6014, 24779, 1299, 16949, 538, 5375, 5081, 7724, 454, 288, 269, 11137, 540, 6014, 9194, 3270, 2429, 1686, 454, 289, 269, 11790, 7700, 547, 2799, 9860, 540, 1412, 310, 3480, 1242, 262, 19824, 1851, 6014, 2950, 454, 290, 269, 1215, 934, 738, 4851, 5540, 8192, 6208, 267, 2168, 2534, 2157, 267, 2566, 2359, 267, 543, 3782, 1569, 454, 291, 269, 22414, 2079, 540, 6014, 19366, 2833, 1063, 1114, 5375, 6082, 630, 324, 3052, 1421, 2136, 2276, 5288, 269, 5333, 994, 292, 269, 11879, 6514, 540, 21939, 6436, 543, 741, 6286, 593, 1072, 4093, 692, 4089, 476, 273, 281, 12634, 12983, 910, 2657, 2598, 1706, 885, 7324, 6014, 7377, 2827, 454, 288, 269, 25731, 8344, 1239, 15386, 2860, 1651, 573, 1878, 1369, 1585, 6014, 1016, 25364, 454, 289, 269, 16709, 540, 1514, 21876, 18363, 1072, 13103, 267, 971, 607, 14227, 4567, 267, 2069, 1377, 267, 543, 7130, 454, 290, 269, 5811, 540, 4719, 19753, 21752, 2404, 609, 1808, 2010, 540, 2860, 630, 324, 3052, 1421, 19836, 7563, 5444, 13592, 538, 12891, 5287, 21532, 6014, 2021, 994, 291, 269, 8865, 1353, 593, 519, 1909, 540, 4984, 538, 5935, 8456, 2509, 15324, 1416, 543, 9584, 2409, 454, 292, 269, 27148, 883, 4008, 3604, 538, 2860, 1981, 543, 6668, 3928, 1369, 6014, 2950, 692, 4089, 476, 274, 281, 5398, 8889, 1299, 31197, 538, 5840, 910, 18601, 2657, 21153, 885, 454, 288, 269, 5623, 540, 1883, 22257, 5238, 3743, 585, 7598, 1072, 4507, 538, 5840, 454, 289, 269, 22410, 540, 4540, 9777, 725, 13389, 2860, 6604, 543, 1852, 3800, 454, 290, 269, 16214, 540, 3811, 7341, 5466, 1072, 13103, 2066, 3309, 6014, 5095, 454, 291, 269, 30487, 519, 7145, 540, 2146, 23793, 3292, 5009, 2635, 5615, 543, 2038, 7020, 454, 292, 269, 22384, 540, 10616, 538, 1699, 4507, 543, 7840, 585, 6454, 1759, 593, 1655, 2853, 689, 2518, 5380, 692, 6962, 912, 8139, 519, 2078, 1063, 3909, 3961, 267, 2686, 4282, 267, 543, 1072, 4093, 568, 2629, 585, 3384, 2500, 2994, 6322, 693, 4227, 1072, 13103, 1851, 6014, 5095, 269, 1635, 9691, 6313, 519, 28622, 540, 891, 2188, 543, 2502, 609, 4143, 2013, 2090, 267, 14519, 267, 3173, 267, 543, 15156, 666, 960, 1927, 547, 1711, 8537, 5054, 1141, 782, 2043, 723, 3160, 3255, 547, 1291, 2635, 2729, 7488, 540, 741, 5132, 267, 14940, 267, 610, 3084, 5169, 780, 9616, 281, 901, 1576, 7291, 5713, 607, 513, 4358, 1448, 585, 2417, 1646, 676, 16929, 543, 4081, 5234, 2818, 269, 16952, 2200, 267, 13220, 267, 2238, 267, 543, 10526, 1058, 5447, 609, 12250, 4808, 267, 1565, 6859, 267, 543, 2875, 2115, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4692, 1356, 568, 513, 2262, 602, 1100, 835, 6499, 547, 5873, 269, 898, 779, 513, 5868, 602, 666, 581, 1272, 19145, 267, 543, 621, 779, 1945, 602, 1082, 540, 721, 4250, 269, 2755, 2860, 3928, 723, 1044, 9991, 538, 2487, 1296, 267, 972, 568, 835, 1895, 540, 1004, 585, 7247, 2860, 568, 4742, 5051, 1455, 281, 1762, 4079, 269, 9435, 568, 513, 3056, 2014, 540, 2669, 538, 1762, 4079, 267, 543, 519, 11841, 540, 519, 2068, 568, 8375, 269, 2755, 519, 3169, 2014, 540, 2860, 568, 7164, 267, 930, 4966, 3494, 602, 513, 2048, 310, 3480, 1242, 685, 6197, 949, 581, 547, 16620, 269, 1924, 1018, 4010, 1281, 602, 1611, 888, 4131, 779, 1413, 693, 519, 2963, 547, 1294, 952, 972, 779, 1022, 5168, 547, 713, 3409, 563, 3674, 513, 2048, 310, 3480, 1242, 685, 6197, 547, 16620, 286, 1107, 2913, 779, 4855, 4934, 454, 4692, 1356, 11841, 538, 1762, 4079, 568, 8375, 267, 543, 930, 4966, 3494, 602, 513, 2048, 310, 3480, 1242, 685, 6197, 949, 581, 547, 16620, 269, 5525, 723, 3254, 602, 1762, 4079, 945, 2661, 538, 5375, 2477, 616, 811, 2693, 547, 1020, 2860, 982, 1346, 945, 2661, 538, 824, 2694, 540, 519, 1158, 269, 901, 949, 581, 1317, 5375, 619, 616, 811, 2693, 547, 9772, 14432, 19824, 267, 971, 607, 15137, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 15215, 1315, 17194, 1315, 18303, 3778, 543, 15348, 585, 8479, 20661, 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, 19901, 10263, 538, 5843, 31754, 692, 296, 269, 4985, 692, 2026, 596, 5490, 4514, 883, 519, 2361, 540, 2890, 31754, 267, 621, 3587, 5051, 1271, 547, 1174, 7082, 2623, 910, 519, 1353, 540, 875, 1367, 6800, 267, 2516, 267, 610, 3906, 2824, 267, 4444, 267, 946, 267, 543, 26565, 2093, 267, 5370, 267, 543, 2533, 547, 14183, 741, 2115, 543, 6499, 269, 769, 713, 3184, 267, 649, 786, 2263, 1585, 3344, 540, 7082, 2623, 267, 1519, 922, 4644, 538, 2890, 31754, 267, 1883, 21876, 12018, 7082, 5079, 267, 543, 4207, 2152, 5935, 2413, 4616, 3270, 269, 1635, 6313, 891, 2609, 267, 596, 3513, 2744, 3407, 4030, 883, 3375, 6194, 3157, 267, 3850, 596, 547, 1732, 3589, 2344, 3466, 543, 25666, 2500, 1870, 2994, 780, 2862, 269, 19043, 540, 19901, 10263, 538, 5843, 31754, 692, 288, 269, 10020, 538, 10369, 4982, 10329, 454, 8139, 7082, 7375, 568, 2629, 585, 8159, 2344, 11466, 267, 1141, 7274, 18796, 11224, 7274, 13859, 269, 11790, 899, 4747, 2157, 267, 16919, 267, 543, 7375, 1764, 519, 3747, 7455, 267, 6038, 7133, 5777, 543, 3977, 538, 1808, 6990, 269, 1306, 2890, 324, 1595, 1235, 267, 938, 3804, 568, 547, 2697, 543, 5659, 891, 7506 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 6129, 9947, 476, 2918, 476, 1556, 281, 2004, 281, 4962, 476, 1001, 277, 692, 287, 10461, 281, 9400, 454, 20701, 3698, 1039, 5416, 267, 536, 2187, 825, 2132, 513, 1341, 536, 22562, 3698, 10208, 5416, 267, 536, 2187, 825, 2132, 513, 910, 536, 22562, 3698, 9062, 5416, 267, 536, 2187, 825, 2132, 513, 2608, 536, 692, 3698, 7941, 5416, 267, 536, 2187, 825, 952, 536, 2652, 476, 271, 912, 1038, 2132, 7183, 454, 825, 2132, 513, 1315, 536, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 28269, 26502, 8528, 287, 294, 15869, 15651, 692, 20701, 3698, 6305, 318, 26476, 1436, 16325, 2187, 825, 12361, 15531, 782, 2188, 540, 519, 2016, 1297, 454, 825, 2188, 8217, 815, 11713, 825, 3815, 815, 476, 273, 454, 825, 1247, 263, 26476, 10922, 1003, 2187, 1038, 952, 16325, 4939, 3815, 2652, 476, 271, 2187, 2018, 2188, 8217, 6910, 263, 26476, 994, 1038, 3815, 815, 3815, 1341, 476, 272, 28329, 825, 1820, 263, 2399, 832, 8217, 994, 8931, 825, 12361, 15531, 799, 540, 519, 2188, 616, 6305, 454, 825, 6305, 318, 2399, 832, 815, 11713, 825, 585, 1775, 538, 2188, 8217, 912, 1038, 585, 795, 538, 2039, 263, 273, 267, 328, 2187, 2018, 952, 9217, 4939, 795, 2652, 476, 271, 2187, 3546, 2736, 454, 1038, 3116, 912, 2018, 6305, 318, 2399, 832, 6910, 9217, 994, 8931, 825, 12361, 2398, 6493, 2164, 13872, 825, 1003, 815, 1193, 16325, 994, 825, 6305, 318, 2399, 832, 815, 1193, 263, 18905, 318, 2399, 832, 994, 825, 1820, 2891, 763, 6305, 2188, 540, 834, 1341, 1003, 1341, 834, 616, 834, 1341, 6305, 318, 2399, 832, 994, 8931, 8931, 1012, 570, 1389, 3593, 3403, 543, 7125, 593, 519, 6305, 26458, 1599, 4449, 454, 6112, 6936, 912, 825, 513, 815, 703, 9272, 3488, 326, 633, 803, 513, 1297, 3152, 982, 476, 272, 610, 4283, 476, 271, 547, 16718, 281, 1412, 4917, 825, 952, 630, 320, 2652, 476, 271, 2187, 1038, 2736, 454, 825, 6305, 318, 26476, 1436, 5416, 994, 4449, 0, 5228, 6843, 8217, 1104, 23030, 21698, 692, 258, 31176, 491, 31365, 421, 479, 491, 31308, 484, 263, 2181, 4650, 2567, 21928, 31176, 491, 31365, 421, 479, 491, 31308, 484, 18809, 8147, 16043, 495, 10524, 361, 10429, 486, 18777, 379, 25426, 362, 21550, 373, 420, 488, 480, 30536, 8147, 419, 482, 370, 12571, 492, 20881, 496, 25051, 496, 17295, 364, 31176, 491, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 26266, 355, 31878, 21550, 495, 8147, 19540, 491, 476, 20881, 496, 25051, 496, 17295, 364, 31176, 491, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 9463, 367, 31878, 21550, 495, 25707, 258, 18809, 31365, 421, 479, 491, 31308, 484, 263, 514, 4650, 2567, 21928, 18809, 31365, 421, 479, 491, 31308, 484, 18809, 8147, 16043, 495, 10524, 361, 20881, 496, 25051, 496, 17295, 364, 18809, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 26266, 355, 31878, 21550, 495, 8147, 419, 482, 370, 12571, 492, 18777, 379, 25426, 362, 21550, 373, 420, 488, 480, 30536, 8147, 31006, 12571, 492, 13127, 484, 491, 20881, 496, 25051, 496, 17295, 364, 18809, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 9463, 367, 31878, 21550, 495, 25707, 258, 12571, 492, 31365, 421, 479, 491, 31308, 484, 9638, 739, 4650, 2567, 21928, 12571, 492, 31365, 421, 479, 491, 31308, 484, 18809, 8147, 16043, 495, 10524, 361, 10429, 486, 20881, 496, 25051, 496, 17295, 364, 12571, 492, 31365, 421, 479, 491, 31308, 484, 18777, 379, 25426, 362, 26266, 355, 31878, 21550, 495, 25520, 9463, 367, 31878, 21550, 495, 8147, 31006, 12571, 492, 18777, 379, 25426, 362, 17276, 510, 373, 420, 488, 480, 30536, 12486, 692, 3698, 840, 4650, 263, 520, 872, 2187, 825, 5727, 17958, 20881, 496, 25051, 496, 23521, 354, 419, 376, 500, 19540, 503, 12163, 825, 952, 693, 872, 912, 1038, 1820, 263, 520, 872, 10947, 305, 2393, 11749, 15405, 1038, 840, 4650, 263, 520, 872, 10947, 29381, 21609, 15405, 1038, 840, 4650, 263, 520, 872, 10947, 14738, 21609, 31156, 258, 19540, 483, 419, 377, 362, 25520, 14035, 500, 419, 377, 362, 30244, 4970, 353, 26175, 491, 25913, 25622, 417, 497, 359, 26175, 491, 418, 505, 368, 417, 354, 377, 13601, 11590, 505, 417, 495, 351, 286, 13601, 420, 486, 361, 23521, 354, 13644, 368, 14035, 500, 419, 377, 362, 16583, 30936, 418, 505, 368, 417, 354, 377, 25707, 258, 13127, 492, 509, 18713, 510, 21928, 30678, 12916, 510, 23523, 486, 16533, 495, 421, 506, 478, 28884, 22287, 499, 419, 374, 363, 421, 479, 491, 13127, 492, 484, 10533, 368, 14748, 21550, 495, 12486, 14035, 504, 12255, 418, 481, 483, 19540, 369, 31284, 12916, 510, 9463, 359, 15159, 418, 481, 367, 10254, 358, 17958, 417, 509, 374, 10951, 361, 7511, 421, 479, 491, 31308, 484, 25913, 25622, 23521, 354, 14395, 508, 27064, 364, 10429, 370, 10524, 500, 7511, 11590, 489, 418, 481, 483, 12486, 692, 3698, 2022, 4650, 263, 520, 872, 2187, 825, 5727, 12571, 492, 31365, 421, 479, 491, 31308, 484, 12163, 825, 952, 693, 872, 912, 1038, 840, 4650, 263, 520, 872, 10947, 29381, 21609, 15405, 1038, 840, 4650, 263, 520, 872, 10947, 14738, 21609, 15405, 1038, 1820, 263, 520, 872, 10947, 305, 2393, 11749, 31156, 258, 12571, 492, 31365, 421, 479, 491, 31308, 484, 7511, 13601, 26175, 491, 13601, 420, 486, 361, 18021, 498, 17958, 8147, 18263, 509, 16533, 365, 15159, 25335, 352, 22909, 494, 21550, 495, 418, 365, 480, 29219, 7531, 3698, 538, 4650, 263, 520, 872, 2187, 825, 5727, 18809, 31365, 421, 479, 491, 31308, 484, 12163, 825, 952, 693, 872, 912, 1038, 840, 4650, 263, 520, 872, 10947, 29381, 21609, 15405, 1038, 1820, 263, 520, 872, 10947, 305, 2393, 11749, 15405, 1038, 840, 4650, 263, 520, 872, 10947, 14738, 21609, 31156, 258, 476, 278, 269, 10533, 368, 419, 494, 484, 1820, 10339, 13127, 485, 30936, 8147, 12916, 379, 10429, 370, 21251, 25060, 483, 418, 489, 361, 14035, 504, 12916, 503, 7511, 418, 489, 361, 9463, 371, 25707, 3698, 1820, 10339, 263, 520, 872, 2187, 825, 5727, 16043, 495, 10524, 361, 28098, 25335, 352, 22909, 494, 21550, 495, 13213, 505, 27310, 22047, 28997, 478, 22287, 499, 7511, 18809, 31365, 421, 479, 491, 31308, 484, 8147, 16043, 495, 10524, 361, 16533, 484, 23523, 501, 28996, 418, 366, 350, 20069, 17295, 484, 418, 489, 361, 9463, 371, 7511, 31308, 509, 417, 356, 489, 23989, 20001, 378, 19764, 493, 25707, 825, 476, 16043, 495, 10524, 361, 23746, 23284, 476, 32517, 362, 418, 498, 373, 417, 509, 374, 419, 350, 478, 7511, 18809, 31365, 421, 479, 491, 31308, 484, 7511, 28997, 501, 25622, 12916, 379, 16043, 495, 10524, 361, 14035, 491, 31308, 509, 10429, 357, 418, 489, 361, 9463, 371, 23989, 20001, 378, 19764, 493, 25707, 825, 476, 9463, 359, 28884, 417, 479, 504, 417, 28187, 31284, 32517, 362, 418, 498, 373, 281, 21928, 20881, 496, 25051, 496, 18777, 379, 25426, 362, 26266, 355, 31878, 21550, 495, 18263, 489, 31176, 491, 27447, 13127, 485, 374, 26266, 355, 418, 489, 361, 9463, 371, 8147, 419, 482, 370, 12571, 492, 21928, 18777, 379, 25426, 362, 9463, 367, 31878, 21550, 495, 18263, 489, 12571, 492, 27447, 24731, 9463, 367, 418, 489, 361, 9463, 371, 12486, 12163, 825, 521, 11749, 815, 834, 5016, 825, 952, 693, 872, 912, 1038, 2451, 815, 476, 693, 872, 10947, 29381, 21609, 4590, 1038, 1318, 815, 693, 872, 10947, 14738, 21609, 4590, 1038, 952, 711, 2451, 543, 711, 1318, 281, 1948, 17276, 510, 495, 9463, 370, 420, 488, 480, 30536, 8147, 421, 25693, 15159, 12255, 21211, 454, 2018, 521, 11749, 6834, 1193, 263, 2745, 10339, 263, 3847, 4917, 2018, 521, 11749, 6834, 1193, 263, 520, 872, 10947, 305, 2393, 11749, 15405, 2018, 521, 11749, 6834, 1193, 263, 2745, 10339, 263, 2431, 11723, 27030, 13872, 13872, 1038, 3116, 912, 2018, 521, 11749, 6834, 834, 2891, 266, 1820, 10339, 263, 3847, 994, 2018, 521, 11749, 6834, 693, 872, 10947, 305, 2393, 11749, 4590, 2018, 521, 11749, 6834, 1820, 10339, 263, 2431, 264, 1341, 834, 264, 4840, 825, 2132, 521, 11749, 454, 0, 3698, 9352, 318, 14142, 263, 531, 626, 267, 6221, 2187, 825, 5727, 11590, 490, 26166, 418, 494, 506, 22614, 368, 351, 16533, 484, 10524, 492, 18809, 25426, 368, 421, 350, 373, 19764, 478, 417, 356, 489, 418, 352, 478, 418, 369, 489, 8147, 26033, 490, 21251, 15159, 418, 490, 487, 421, 350, 374, 31365, 418, 494, 506, 27381, 351, 28578, 23989, 25707, 825, 13127, 28187, 31563, 418, 509, 354, 19867, 378, 421, 350, 373, 4970, 492, 16043, 495, 10524, 361, 10254, 504, 418, 494, 506, 27381, 351, 28996, 7511, 421, 350, 373, 25060, 373, 421, 483, 491, 8147, 10254, 503, 418, 494, 506, 27381, 351, 476, 14756, 497, 23521, 509, 12486, 417, 28187, 31563, 21251, 25060, 373, 421, 483, 491, 8147, 16043, 495, 10524, 361, 23746, 23284, 10254, 358, 17958, 28578, 23989, 7511, 20069, 31365, 26233, 356, 23521, 354, 26406, 496, 30522, 353, 26406, 487, 13601, 22287, 488, 7511, 31176, 358, 12916, 503, 421, 350, 373, 25707, 825, 13127, 28187, 31563, 418, 509, 354, 19867, 378, 421, 350, 373, 30006, 498, 18809, 25426, 368, 421, 350, 373, 27962, 8147, 16043, 495, 10524, 361, 23746, 23284, 418, 488, 488, 28578, 23989, 18809, 20001, 481, 16533, 493, 7511, 421, 480, 352, 13601, 22287, 488, 10429, 357, 421, 481, 357, 25520, 18809, 25426, 368, 421, 350, 373, 23746, 23284, 10524, 492, 26406, 354, 31284, 23521, 354, 7511, 26033, 481, 21382, 509, 18809, 26406, 496, 30522, 353, 29072, 25707, 825, 13127, 505, 510, 20992, 417, 28187, 31563, 418, 509, 354, 19867, 378, 28859, 350, 373, 21928, 28578, 23989, 18809, 8147, 421, 480, 352, 14395, 481, 13601, 27936, 21928, 20001, 481, 27962, 7511, 421, 480, 352, 13601, 22287, 488, 25707, 8931, 825, 17276, 492, 354, 31284, 23521, 354, 8147, 16043, 495, 10524, 361, 23746, 23284, 21928, 20001, 481, 27962, 7511, 13601, 22287, 488, 18809, 19404, 491, 14035, 491, 30244, 14748, 13213, 485, 31801, 489, 12486, 10524, 492, 18809, 25426, 368, 421, 350, 373, 19764, 478, 417, 356, 489, 8147, 418, 489, 379, 14395, 481, 25520, 418, 509, 354, 19867, 378, 421, 350, 373, 30853, 30006, 498, 20001, 481, 25707, 825, 13127, 484, 491, 17276, 507, 354, 13601, 418, 361, 350, 8147, 16043, 495, 10524, 361, 28884, 18263, 486, 19867, 378, 28996, 29072, 418, 509, 354, 19867, 378, 421, 350, 373, 8147, 28884, 18263, 486, 10524, 492, 18809, 25426, 368, 26166, 31176, 366, 28578, 23989, 8147, 23946, 370, 18713, 510, 27882, 353, 26406, 496, 30522, 353, 26406, 487, 9463, 355, 13601, 27962, 421, 481, 357, 26166, 16043, 495, 10524, 361, 7511, 418, 494, 506, 27381, 351, 25060, 374, 13127, 509, 509, 25707, 8931, 825, 476, 26166, 31176, 366, 418, 361, 350, 12255, 28859, 350, 373, 12255, 454, 825, 476, 272, 11434, 562, 270, 273, 454, 825, 476, 273, 11434, 562, 270, 275, 454, 825, 476, 274, 11434, 562, 270, 279, 454, 825, 4429, 825, 1775, 11434, 562, 270, 273, 317, 328, 692, 825, 562, 270, 273, 317, 328, 815, 476, 272, 454, 825, 1775, 815, 2845, 273, 3799, 2020, 825, 476, 11590, 490, 26166, 418, 494, 506, 27381, 351, 7511, 14035, 491, 23521, 480, 18021, 355, 15159, 302, 263, 8421, 3799, 4917, 672, 692, 825, 29185, 825, 1101, 815, 476, 271, 454, 825, 2063, 815, 7003, 263, 531, 626, 264, 910, 476, 272, 454, 825, 1336, 815, 8771, 692, 825, 1247, 1101, 10922, 2063, 543, 1336, 11203, 6936, 912, 1038, 4571, 815, 630, 14140, 1341, 2063, 264, 12262, 273, 454, 1038, 952, 6221, 2652, 620, 626, 314, 13232, 14158, 2018, 2132, 6936, 454, 1038, 8640, 6221, 3436, 620, 626, 314, 13232, 14158, 2018, 1101, 815, 4571, 1341, 476, 272, 454, 1038, 3116, 912, 2018, 2063, 815, 4571, 910, 476, 272, 28329, 825, 2132, 8771, 692, 531, 626, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 279, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 3953, 267, 476, 5655, 267, 6540, 28744, 6357, 2435, 318, 14142, 263, 531, 626, 267, 279, 11723, 692, 3698, 9352, 318, 14142, 318, 13612, 263, 531, 626, 267, 14403, 2187, 825, 5727, 26166, 26033, 490, 418, 366, 375, 18263, 489, 8147, 20881, 496, 25051, 496, 14395, 508, 27064, 364, 476, 11590, 490, 26166, 418, 509, 354, 19867, 378, 454, 825, 13127, 479, 506, 27882, 351, 23521, 350, 10524, 370, 16088, 7003, 17338, 264, 2652, 476, 271, 454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 11073, 1467, 519, 1292, 10486, 543, 3604, 1063, 13100, 27600, 779, 543, 966, 17789, 1824, 5652, 779, 3137, 585, 5042, 1646, 538, 1453, 269, 13100, 27600, 543, 966, 17789, 1824, 5652, 941, 1312, 267, 3168, 883, 519, 1482, 1974, 540, 5042, 1646, 538, 12256, 543, 1453, 543, 4687, 519, 1482, 2596, 4145, 269, 13100, 27600, 630, 6245, 277, 268, 2735, 271, 264, 3384, 1010, 3069, 5594, 4505, 982, 966, 17789, 1824, 5652, 630, 6245, 277, 268, 4350, 275, 264, 945, 5249, 547, 1397, 602, 972, 941, 1978, 20924, 538, 13100, 27600, 1412, 338, 3069, 540, 4719, 26381, 1108, 269, 966, 690, 1824, 5652, 543, 1010, 1514, 14426, 3069, 540, 5042, 1646, 1522, 581, 2938, 607, 519, 8168, 11218, 547, 13100, 27600, 1412, 338, 7262, 1367, 626, 5133, 269, 13100, 27600, 5059, 593, 5042, 1646, 607, 9247, 19838, 12510, 878, 267, 966, 17789, 1824, 5652, 13934, 713, 609, 519, 2856, 540, 519, 1367, 607, 1373, 2560, 19651, 811, 1543, 7498, 303, 328, 27600, 1014, 3069, 9247, 5784, 1646, 538, 2185, 9425, 14461, 5933, 267, 602, 4352, 789, 8774, 513, 1390, 4308, 540, 1769, 593, 1126, 1646, 267, 798, 711, 1450, 585, 606, 1620, 540, 1126, 1646, 607, 1373, 8476, 676, 1514, 543, 2686, 2188, 607, 729, 3254, 676, 966, 17789, 1824, 5652, 538, 1010, 1412, 25791, 2686, 3069, 540, 1126, 1646, 29717, 1358, 798, 711, 3565, 547, 938, 5483, 5872, 609, 1453, 267, 3226, 609, 2543, 547, 2069, 267, 1141, 30576, 326, 1824, 5652, 1412, 338, 2093, 723, 1044, 5033, 3373, 3407, 269, 769, 15154, 543, 16594, 267, 966, 17789, 1824, 5652, 267, 2022, 12885, 602, 538, 13100, 27600, 1412, 338, 5933, 540, 1646, 267, 1142, 3942, 8806, 6799, 3294, 1310, 519, 3105, 3942, 814, 2196, 922, 1576, 267, 621, 1281, 711, 6565, 689, 621, 269, 630, 2735, 273, 267, 533, 269, 476, 8099, 994, 763, 2185, 8471, 11095, 5933, 540, 13100, 27600, 1014, 3069, 616, 607, 5205, 281, 634, 1412, 338, 29022, 332, 19318, 1412, 3942, 799, 4386, 1063, 519, 6502, 540, 476, 272, 543, 476, 273, 1296, 2025, 269, 901, 568, 519, 1974, 1282, 799, 13100, 27600, 4857, 519, 1126, 3384, 513, 2489, 28203, 585, 3350, 543, 14815, 269, 901, 568, 4553, 676, 519, 1412, 2181, 6016, 1049, 1412, 3942, 689, 476, 273, 268, 278, 1296, 1141, 519, 1126, 538, 1010, 6644, 814, 606, 16283, 2702, 547, 2490, 2219, 883, 2962, 269, 634, 1126, 568, 2938, 607, 661, 326, 12510, 878, 607, 568, 7152, 538, 519, 1412, 22764, 10239, 1412, 1449, 267, 1141, 1614, 8335, 21243, 267, 9380, 539, 10239, 616, 5116, 1354, 519, 1126, 543, 1352, 568, 4280, 547, 6542, 606, 1620, 540, 875, 519, 2070, 1522, 1413, 689, 519, 5133, 540, 1776, 282, 1352, 568, 8572, 547, 798, 865, 269, 630, 32354, 1696, 620, 269, 476, 1220, 280, 533, 269, 533, 8287, 1040, 901, 6560, 5170, 883, 454, 12812, 1934, 547, 12260, 713, 543, 936, 835, 2929, 3594, 7476, 7457, 454, 1103, 1699, 3872, 6530, 267, 1312, 519, 1568, 540, 14639, 13100, 27600, 543, 23821, 966, 17789, 1824, 5652, 723, 1831, 7986, 538, 606, 1620, 540, 11095, 17133, 538, 6689, 630, 291, 1075, 1127, 928, 267, 5062, 300, 2795, 267, 4425, 1013, 518, 1299, 10127, 2224, 267, 476, 1001, 274, 267, 533, 269, 476, 6321, 1040, 4256, 6436, 616, 5360, 21747, 543, 1683, 513, 811, 11826, 8223, 540, 6689, 1646, 630, 4537, 9707, 267, 631, 1421, 476, 1220, 274, 267, 533, 269, 476, 275, 4792, 1040, 4256, 8795, 3741, 616, 10858, 547, 1082, 3871, 7282, 519, 1646, 540, 1453, 269, 634, 6212, 540, 13100, 27600, 543, 966, 17789, 1824, 5652, 593, 519, 2081, 540, 6689, 1646, 8428, 269, 13100, 27600, 729, 5059, 593, 519, 2185, 11095, 5933, 540, 5042, 2208, 538, 1010, 7869, 540, 15465, 4886, 267, 15029, 966, 17789, 1824, 5652, 779, 3741, 941, 1759, 593, 1646, 538, 513, 6848, 6073, 609, 1010, 454, 303, 328, 27600, 729, 519, 1101, 18673, 547, 1118, 513, 9836, 1353, 540, 5042, 1646, 269, 13100, 27600, 779, 960, 2882, 513, 2143, 22423, 1353, 540, 17133, 538, 1453, 269, 13100, 27600, 4951, 602, 1762, 1453, 1589, 538, 1114, 2081, 547, 4079, 269, 4340, 547, 13100, 27600, 267, 1453, 616, 4535, 609, 513, 1360, 2596, 2790, 2497, 630, 2102, 13443, 15110, 543, 7960, 264, 593, 799, 782, 7766, 1702, 568, 1759, 563, 1103, 966, 17789, 1824, 5652, 779, 1914, 32241, 1646, 3069, 267, 1514, 5872, 4249, 606, 1271, 1909, 538, 519, 1184, 540, 5042, 1646, 267, 799, 568, 1114, 1287, 13100, 27600, 779, 1620, 540, 1126, 1646, 269, 966, 17789, 1824, 5652, 5156, 1453, 616, 3742, 1702, 454, 309, 17789, 1824, 5652, 949, 723, 936, 2452, 539, 2956, 593, 1514, 7506, 1317, 646, 5267, 602, 1126, 779, 5042, 1646, 4386, 998, 1514, 4205, 267, 585, 1383, 1453, 798, 4835, 5314, 540, 1966, 6061, 3842, 8994, 4205, 269, 1717, 267, 952, 1514, 1565, 568, 519, 9759, 540, 5042, 1646, 1287, 1565, 1131, 581, 513, 2603, 5488, 982, 621, 568, 269, 4935, 966, 17789, 1824, 5652, 5337, 2803, 519, 6211, 3344, 602, 5351, 610, 9673, 1206, 519, 5042, 1646, 971, 607, 519, 1646, 540, 2634, 543, 30553, 269, 4475, 13100, 27600, 779, 3069, 540, 5042, 1646, 568, 1114, 547, 454, 297, 6756, 13100, 27600, 543, 23821, 966, 17789, 1824, 5652, 1312, 3858, 543, 10990, 538, 519, 1858, 540, 519, 7186, 270, 14946, 618, 540, 11106, 269, 13100, 27600, 543, 966, 17789, 1824, 5652, 3858, 593, 519, 2856, 540, 4020, 13659, 267, 519, 22979, 602, 5042, 1646, 4523, 676, 13250, 547, 543, 2679, 689, 1018, 568, 5892, 6444, 543, 4121, 269, 13100, 27600, 729, 513, 24735, 4020, 22999, 267, 646, 5156, 602, 2043, 10536, 1702, 676, 15025, 609, 741, 1604, 543, 2679, 593, 741, 1702, 543, 1620, 540, 741, 1604, 269, 2201, 519, 824, 1688, 267, 23821, 966, 17789, 1824, 5652, 729, 513, 1514, 4020, 22999, 267, 18468, 2043, 10536, 1702, 998, 1514, 5872, 543, 1565, 689, 1866, 269, 1358, 849, 1312, 3858, 602, 519, 9993, 540, 7214, 2208, 616, 3989, 676, 1514, 4205, 269, 15706, 10536, 1702, 689, 4205, 602, 789, 723, 2907, 1044, 6534, 547, 543, 1018, 824, 1004, 666, 4001, 873, 267, 2436, 952, 621, 824, 1453, 602, 616, 4587, 982, 789, 616, 267, 4079, 538, 519, 1272, 267, 610, 3610, 269, 14639, 13100, 27600, 5156, 602, 2043, 10536, 741, 1702, 676, 15025, 538, 741, 1604, 267, 543, 621, 2501, 607, 513, 1463, 6364, 540, 519, 1367, 779, 3527, 593, 547, 741, 1604, 269, 13100, 27600, 5156, 602, 2043, 1590, 1451, 1354, 789, 1020, 630, 14807, 1049, 10017, 1040, 4340, 547, 14639, 13100, 27600, 779, 3069, 267, 519, 1931, 540, 16565, 1702, 568, 606, 1367, 6411, 2390, 741, 1604, 267, 1565, 689, 519, 4539, 540, 741, 3527, 267, 543, 1287, 3384, 1702, 543, 1620, 540, 454, 297, 6756, 13100, 27600, 779, 7869, 540, 15465, 4886, 729, 835, 540, 519, 1101, 3268, 538, 1620, 875, 1453, 1831, 945, 789, 616, 607, 4079, 269, 769, 2038, 6689, 267, 1453, 2253, 547, 1174, 6698, 543, 11269, 630, 289, 17064, 267, 476, 1001, 275, 267, 533, 269, 476, 25375, 1040, 4256, 1565, 10593, 689, 15392, 519, 1158, 607, 538, 519, 9300, 574, 19318, 3942, 547, 3843, 547, 1265, 1455, 8017, 899, 6698, 269, 4340, 547, 7137, 330, 630, 1001, 275, 1070, 966, 17789, 1824, 5652, 779, 5081, 32241, 7869, 5059, 593, 968, 25791, 2796, 540, 5042, 1646, 892, 630, 335, 269, 476, 23056, 1040, 966, 17789, 1824, 5652, 11368, 1514, 2796, 543, 1514, 4205, 883, 6689, 1646, 282, 538, 824, 1913, 267, 945, 267, 875, 267, 543, 1018, 1453, 2170, 609, 538, 741, 4948, 1514, 1604, 8309, 547, 741, 2790, 543, 3929, 1646, 269, 1879, 621, 2501, 547, 1312, 540, 891, 5042, 6436, 267, 972, 616, 1082, 10486, 543, 3604, 1063, 13100, 27600, 543, 966, 17789, 1824, 5652, 563, 289, 269, 29965, 1299, 570, 269, 15352, 269, 630, 1220, 279, 1040, 25833, 10017, 281, 30459, 13100, 27600, 779, 543, 966, 17789, 1824, 5652, 779, 28636, 538, 269, 4750, 540, 9061, 5937, 21326, 21126, 538, 4065, 267, 5292, 269, 476, 272, 267, 3143, 476, 272, 23463, 476, 6795, 268, 6858, 269, 8158, 689, 5291, 2517, 329, 322, 701, 9884, 332, 342, 1731, 529, 14492, 11721, 850, 270, 1613, 270, 4565, 820, 15005, 454, 19284, 13100, 27600, 267, 945, 729, 540, 606, 4081, 4282, 543, 4769, 1406, 4019, 1010, 6436, 269, 8550, 519, 1447, 267, 789, 1312, 6436, 6766, 2069, 543, 3227, 1695, 338, 1221, 519, 2956, 540, 4879, 2705, 966, 17789, 1824, 5652, 4941, 519, 8343, 540, 1453, 543, 741, 5759, 547, 581, 607, 1130, 1221, 607, 1449, 8464, 563, 275, 269, 594, 9305, 1034, 609, 5042, 6436, 540, 1646, 269, 13100, 27600, 2488, 519, 5748, 676, 7713, 519, 3982, 5933, 540, 1646, 269, 3571, 4030, 1450, 3610, 543, 3237, 547, 723, 513, 4493, 540, 1018, 1453, 616, 5827, 540, 1282, 1142, 3942, 269, 1403, 519, 1126, 20427, 2269, 903, 689, 891, 5933, 267, 621, 2636, 519, 12391, 4079, 547, 1491, 2962, 547, 948, 519, 1126, 547, 3914, 519, 3617, 3942, 269, 2060, 606, 1620, 540, 891, 5933, 267, 519, 6436, 540, 966, 17789, 1824, 5652, 666, 1287, 581, 6707, 8246, 269, 966, 17789, 1824, 5652, 17613, 602, 609, 519, 454, 763, 1557, 568, 2469, 547, 6338, 2110, 7650, 338, 540, 13100, 27600, 630, 4572, 277, 264, 543, 966, 17789, 1824, 5652, 779, 630, 3192, 279, 264, 6436, 547, 5815, 741, 1114, 4485, 950, 6236, 5042, 1646, 269, 13100, 27600, 630, 4572, 277, 264, 2919, 513, 4020, 22999, 3069, 799, 568, 519, 4493, 585, 519, 824, 5042, 1646, 6436, 602, 4553, 269, 1261, 6069, 519, 4214, 540, 28203, 799, 4016, 547, 1453, 779, 4070, 540, 5935, 741, 2219, 543, 3527, 998, 519, 1305, 540, 5042, 3157, 607, 21939, 267, 1669, 638, 9902, 686, 4548, 543, 22098, 269, 1879, 25884, 1007, 2833, 267, 1453, 2119, 547, 4612, 873, 538, 2474, 540, 1634, 5042, 6562, 553, 269, 769, 2013, 540, 17528, 267, 789, 991, 547, 4188, 741, 7664, 547, 519, 4641, 630, 19913, 3530, 614, 1299, 918, 2089, 267, 279, 628, 1196, 1040, 9122, 593, 1010, 10054, 267, 13100, 27600, 630, 4572, 277, 264, 6069, 602, 1126, 607, 513, 19157, 1367, 3356, 998, 2185, 1292, 5933, 540, 5042, 1646, 269, 2201, 519, 824, 1688, 267, 966, 17789, 1824, 5652, 630, 3192, 279, 264, 4843, 1914, 32241, 3069, 269, 966, 17789, 1824, 5652, 630, 3192, 279, 264, 13671, 593, 519, 1514, 5872, 1063, 1126, 543, 2937, 6236, 454, 309, 17789, 1824, 5652, 543, 13100, 27600, 723, 1082, 3604, 269, 966, 17789, 1824, 5652, 5156, 602, 519, 1126, 568, 513, 1514, 1373, 267, 543, 5042, 1646, 568, 3366, 676, 1514, 4205, 269, 13100, 27600, 267, 593, 519, 824, 1688, 2676, 6097, 547, 966, 17789, 1824, 5652, 5156, 602, 519, 1646, 540, 606, 1367, 4096, 593, 519, 1514, 2188, 267, 602, 1797, 1004, 1020, 2687, 519, 1514, 1604, 789, 616, 6534, 543, 519, 1919, 789, 2170, 609, 1282, 741, 2038, 5933, 538, 1272, 630, 298, 9926, 6081, 267, 476, 1220, 274, 1040, 634, 4661, 1934, 568, 602, 519, 1565, 543, 5042, 1646, 568, 8200, 593, 519, 1514, 4205, 602, 1453, 979, 998, 543, 1282, 741, 2038, 5933, 267, 602, 568, 9938, 2711, 7997, 543, 519, 1604, 723, 2101, 1909, 538, 1453, 1646, 269, 13100, 27600, 593, 519, 824, 1688, 267, 13187, 519, 5042, 1646, 538, 4830, 540, 1022, 5007, 1604, 543, 20383, 547, 519, 1453, 1646, 267, 4061, 6811, 602, 1453, 454, 5194, 3364, 13100, 27600, 779, 3069, 26218, 267, 543, 538, 1840, 547, 966, 17789, 1824, 5652, 779, 1914, 32241, 3069, 267, 966, 17789, 1824, 5652, 5059, 593, 1893, 1247, 4974, 519, 1480, 779, 5042, 1646, 630, 4565, 629, 5055, 4700, 966, 17789, 1824, 5652, 6594, 875, 513, 1126, 779, 1893, 10953, 607, 646, 6238, 547, 1332, 909, 543, 17358, 519, 1158, 543, 2528, 646, 779, 4947, 269, 3571, 2832, 729, 547, 1459, 519, 4644, 1893, 814, 593, 14379, 609, 1866, 543, 519, 2242, 621, 3123, 538, 519, 1158, 630, 4565, 629, 5055, 1040, 966, 17789, 1824, 5652, 3357, 909, 609, 513, 3069, 9967, 540, 5933, 602, 1169, 1268, 1995, 1354, 3384, 513, 2919, 5042, 4390, 630, 4565, 629, 5055, 1916, 14367, 3206, 729, 6766, 676, 13100, 27600, 267, 543, 966, 17789, 1824, 5652, 8362, 6836, 547, 20006, 513, 5188, 609, 13100, 27600, 827, 1978, 2798, 540, 22195, 892, 630, 29662, 1457, 1157, 1299, 28563, 342, 8636, 267, 476, 1220, 280, 267, 533, 269, 6200, 1040, 966, 17789 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 823, 2525, 273, 912, 1038, 2822, 597, 24503, 611, 2803, 263, 24503, 611, 2803, 31599, 1794, 334, 994, 1038, 2892, 597, 18989, 454, 825, 8640, 967, 823, 2525, 274, 912, 1038, 2892, 597, 18989, 454, 825, 3116, 912, 1038, 1820, 2891, 28926, 857, 11252, 11234, 320, 267, 642, 3241, 9366, 513, 8247, 541, 5979, 257, 9239, 0, 18851, 292, 18285, 796, 1982, 320, 6446, 751, 533, 5866, 19448, 9992, 848, 586, 19448, 13047, 267, 3097, 344, 533, 848, 1609, 657, 3611, 657, 635, 334, 1612, 5451, 5471, 549, 513, 19448, 1187, 857, 11252, 6446, 694, 1958, 1173, 541, 5451, 3097, 1372, 524, 3711, 3511, 547, 323, 553, 15255, 4938, 2297, 632, 3288, 9992, 848, 11188, 3288, 13047, 694, 548, 764, 542, 3385, 269, 3097, 28319, 565, 591, 5451, 3288, 1187, 857, 11252, 3288, 9992, 848, 1110, 881, 3385, 267, 586, 1714, 1982, 320, 9030, 3288, 791, 3234, 597, 5451, 1384, 306, 1120, 1470, 8776, 637, 2052, 334, 454, 20701, 3698, 642, 6600, 19189, 267, 341, 5914, 2187, 825, 4938, 2297, 6889, 2801, 328, 537, 4840, 825, 3803, 284, 3269, 454, 825, 585, 1775, 538, 2039, 630, 6352, 6600, 19189, 15892, 1038, 952, 9992, 848, 5157, 316, 538, 4938, 2297, 912, 2018, 3803, 23785, 341, 5914, 454, 1038, 3116, 912, 2018, 3803, 23785, 325, 19189, 5157, 2639, 825, 2132, 3803, 454, 325, 19189, 284, 6358, 2891, 4504, 1238, 345, 8619, 19448, 9992, 848, 281, 19515, 341, 5914, 284, 6358, 2891, 4504, 1238, 345, 8619, 19448, 13047, 281, 19515, 2745, 630, 341, 6600, 19189, 267, 341, 5914, 4297, 0, 320, 25507, 9272, 2891, 4504, 1238, 345, 8619, 796, 562, 14243, 1067, 334, 1303, 3266, 281, 27328, 321, 284, 6358, 2891, 4504, 1238, 345, 8619, 796, 5569, 281, 19515, 322, 284, 15615, 9272, 2891, 4504, 1238, 345, 8619, 796, 562, 14243, 1067, 334, 598, 1232, 574, 2297, 281, 27328, 2745, 630, 6943, 5416, 4917, 2745, 630, 6943, 6357, 4917, 2745, 630, 6943, 6262, 11723 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 21390, 827, 14305, 568, 602, 621, 1797, 12270, 2200, 8449, 1851, 4247, 610, 2238, 269, 1717, 267, 713, 568, 1152, 3006, 519, 2013, 269, 8249, 616, 1419, 711, 7856, 14961, 1317, 1114, 4247, 610, 2238, 723, 1114, 4170, 543, 14422, 563, 2690, 1383, 267, 538, 1788, 2359, 267, 930, 6009, 949, 2154, 811, 942, 267, 2724, 267, 610, 4074, 982, 1866, 269, 769, 971, 2665, 267, 519, 1788, 9614, 1590, 21138, 811, 2200, 547, 891, 2565, 4247, 547, 2327, 519, 1788, 779, 1967, 563, 5194, 3765, 24483, 827, 14305, 568, 602, 621, 1797, 26084, 2200, 1102, 2716, 4601, 543, 14461, 569, 269, 2353, 6327, 568, 513, 8465, 1184, 602, 666, 581, 14661, 1759, 593, 14422, 610, 2242, 538, 4199, 8244, 269, 1280, 1383, 267, 538, 513, 1870, 4259, 267, 519, 6578, 14305, 949, 1689, 1759, 593, 2344, 2175, 610, 2242, 538, 6075, 3747, 269, 769, 891, 3871, 267, 519, 1870, 1590, 581, 2111, 547, 556, 718, 11229, 922, 2200, 547, 4431, 547, 891, 2242, 563, 763, 14305, 849, 3085, 1406, 1611, 602, 519, 2200, 616, 8655, 2899, 543, 2760, 14661, 269, 2353, 6327, 568, 606, 5571, 1184, 8506, 3586, 5464, 543, 11941, 547, 2327, 602, 2200, 616, 1031, 5688, 958, 563, 2690, 1383, 267, 538, 8804, 267, 519, 14305, 540, 9541, 1590, 581, 12649, 5781, 547, 2327, 602, 519, 14769, 568, 13988, 609, 519, 20090, 779, 3853, 543, 6859, 563, 5194, 31605, 827, 14305, 568, 602, 621, 1152, 10039, 547, 15889, 2200, 267, 971, 607, 2724, 610, 3937, 269, 1717, 267, 14305, 849, 10039, 547, 30608, 2200, 899, 942, 543, 4074, 269, 1452, 30608, 2200, 616, 1419, 811, 2565, 543, 3908, 982, 15889, 3283, 269, 1280, 1383, 267, 782, 20814, 942, 568, 2629, 538, 1788, 2359, 547, 2327, 602, 3785, 616, 6192, 593, 942, 543, 1369, 6578, 563, 2026, 596, 666, 1294, 267, 14305, 568, 513, 1950, 543, 8465, 1184, 602, 3340, 6297, 7156, 540, 2789, 2188, 267, 971, 607, 4199, 8244, 267, 14422, 267, 543, 3853, 269, 898, 779, 1898, 547, 1174, 602, 14305, 3085, 1406, 1611, 3160, 3892, 610, 3908, 3892, 540, 2200, 563, 21156, 267, 621, 779, 513, 6422, 1184, 602, 3340, 5571, 5464, 543, 11941, 547, 2327, 519, 6099, 946, 540, 2200, 269, 1635, 9319, 1455, 20887, 827, 14305, 267, 2043, 543, 3906, 666, 811, 3927, 21138, 741, 2200, 543, 3035, 741, 5551, 4093, 563, 8489, 519, 12910, 2353, 6327, 7880, 3990, 3245, 888, 763, 2262, 968, 718, 6327, 892, 2501, 689, 519, 5824, 2262, 968, 718, 665, 732, 1848, 634, 2262, 14305, 9232, 4016, 547, 4259, 11735, 610, 26471, 513, 1880, 6712, 267, 2179, 267, 610, 6712, 540, 1945, 585, 513, 1808, 3483, 610, 18579, 563, 763, 14305, 2501, 689, 519, 5824, 18772, 740, 268, 630, 26074, 968, 1729, 14615, 543, 519, 10902, 1327, 328, 630, 26074, 968, 2897, 26158, 634, 4999, 540, 891, 1079, 1913, 10522, 519, 2856, 540, 26471, 513, 1747, 267, 610, 6712, 540, 1945, 267, 585, 513, 1808, 3483, 563, 1103, 8804, 543, 9297, 267, 968, 718, 6327, 892, 4016, 547, 26084, 2200, 267, 971, 607, 2724, 267, 547, 1114, 3785, 610, 7341, 1759, 593, 741, 9228, 2956, 543, 10171, 540, 1967, 563, 763, 14305, 1523, 568, 3504, 543, 666, 581, 14360, 1394, 547, 519, 9998, 12977, 267, 1141, 2200, 941, 21248, 1759, 593, 519, 2146, 779, 2115, 269, 769, 2038, 7239, 267, 519, 14305, 729, 1419, 2944, 998, 1463, 1852, 676, 519, 15194, 1362, 610, 3844, 4058, 563, 4913, 267, 609, 519, 4417, 540, 2344, 2861, 11615, 267, 519, 14305, 814, 1831, 811, 18228, 543, 568, 1631, 5097, 2944, 998, 519, 2344, 7271, 540, 3761, 543, 3747, 563, 1103, 2413, 11615, 267, 14305, 568, 2629, 538, 4180, 602, 2200, 616, 1031, 7561, 543, 3927, 269, 1280, 1383, 267, 538, 3854, 14305, 267, 9520, 21138, 741, 7482, 547, 1114, 3785, 543, 4213, 1759, 593, 519, 9228, 1761, 2132, 593, 5092, 269, 901, 2337, 1463, 5092, 4724, 519, 1034, 9621, 543, 19311, 3255, 267, 7551, 2810, 519, 4346, 779, 2949, 4398, 563, 20118, 267, 5777, 1404, 513, 2629, 1909, 538, 782, 20814, 5370, 543, 2533, 538, 28068, 2200, 547, 1141, 789, 616, 1034, 2877, 269, 769, 513, 2344, 4346, 267, 5777, 616, 5462, 676, 519, 5872, 540, 3761, 543, 3747, 269, 1879, 3747, 585, 513, 1880, 1434, 610, 3028, 568, 1164, 267, 519, 3902, 786, 2333, 267, 28068, 811, 2200, 4724, 922, 2504, 269, 2201, 519, 824, 1688, 267, 950, 3747, 568, 1970, 267, 519, 3902, 786, 6175, 267, 4227, 519, 14305, 540, 2200, 547, 922, 2504, 563, 1103, 1840, 547, 519, 2344, 7271, 267, 14305, 666, 849, 581, 6766, 676, 2229, 4507, 543, 6042, 269, 1280, 1383, 267, 519, 2229, 949, 21138, 2200, 547, 1808, 9922, 998, 7616, 610, 24307, 267, 971, 607, 2069, 610, 3782, 563, 20118, 267, 2229, 6042, 543, 9204, 666, 849, 1764, 519, 14305, 540, 2200, 676, 7133, 519, 15314, 585, 4213, 543, 2043, 547, 21138, 741, 2200, 538, 513, 1880, 1259, 563, 1692, 2353, 6327, 4039, 919, 547, 19098, 888, 1103, 8051, 267, 14305, 11887, 519, 1942, 540, 6721, 513, 1587, 610, 3246, 513, 3028, 269, 901, 1344, 568, 1287, 1031, 547, 1711, 4977, 2883, 6898, 543, 1118, 5483, 3664, 827, 782, 20814, 2200, 538, 519, 2104, 563, 2690, 1383, 267, 513, 2754, 949, 21138, 2200, 547, 513, 1007, 1587, 1899, 1759, 593, 519, 4397, 8907, 621, 786, 5352, 610, 15814, 3790, 547, 1808, 13623, 1759, 593, 741, 6165, 540, 2200, 563, 763, 14305, 849, 4249, 513, 2629, 1909, 538, 1942, 8051, 269, 8779, 8051, 3322, 7421, 519, 1942, 540, 2504, 267, 1519, 1463, 543, 9940, 3790, 267, 543, 1210, 713, 1344, 547, 1118, 3664, 827, 14499, 543, 4199, 14305, 563, 3528, 8308, 782, 20814, 3790, 267, 513, 2754, 666, 3313, 519, 4890, 1942, 540, 2504, 543, 1118, 5483, 3664, 827, 14499, 267, 2504, 4320, 267, 543, 4199, 14305, 563, 1103, 1840, 267, 14305, 568, 1031, 547, 21138, 519, 3790, 540, 1279, 3856, 7221, 267, 971, 607, 3959, 267, 2030, 267, 543, 3937, 269, 901, 568, 2944, 998, 519, 1184, 540, 28595, 267, 799, 568, 513, 9836, 14305, 540, 519, 1942, 540, 606, 10697, 936, 922, 3730, 1272, 269, 3493, 21090, 568, 1031, 547, 3313, 519, 1871, 540, 606, 5092, 585, 2883, 8989, 5301, 543, 519, 2179, 540, 3454, 602, 513, 2754, 1590, 2628, 563, 7661, 267, 14305, 568, 849, 1031, 538, 519, 22343, 1184, 269, 769, 22343, 267, 606, 3919, 782, 665, 919, 2200, 547, 1585, 13623, 543, 2238, 1759, 593, 741, 14422, 543, 3853, 269, 1635, 8308, 782, 20814, 2200, 267, 513, 2754, 666, 2327, 602, 621, 814, 2614, 2200, 547, 2743, 922, 3853, 543, 6859, 1247, 9363, 1369, 922, 6578, 563, 274, 6201, 540, 2353, 6327, 9861, 13242, 538, 19098, 6657, 454, 7078, 1948, 272, 540, 2353, 6327, 9861, 13242, 538, 19098, 6657, 454, 5472, 20814, 519, 8779, 540, 6153, 338, 22307, 769, 8051, 267, 968, 322, 739, 540, 5370, 4421, 892, 630, 4596, 14899, 264, 4016, 547, 519, 1463, 3790, 2404, 609, 6721, 513, 1587, 610, 3246, 513, 3028, 269, 1452, 3790, 1331, 519, 6151, 2326, 267, 4074, 267, 543, 16841, 9276, 30309, 547, 3132, 519, 5370, 269, 2910, 14899, 568, 2629, 538, 8159, 513, 2754, 779, 14407, 7443, 1317, 621, 4564, 519, 1942, 540, 6721, 543, 9513, 513, 1587, 563, 3080, 1383, 540, 14305, 538, 8051, 2259, 568, 950, 513, 2754, 782, 665, 919, 519, 1942, 540, 5370, 4421, 547, 1142, 1587, 269, 901, 568, 2944, 547, 1174, 519, 1942, 540, 6721, 1142, 1587, 543, 2697, 519, 1034, 19311, 2472, 563, 763, 14305, 1184, 3322, 12270, 519, 2698, 2910, 14899, 676, 519, 1297, 540, 4559, 4421, 547, 12446, 693, 606, 3328, 1942, 829, 1770, 269, 901, 3328, 1942, 829, 1770, 568, 1287, 4294, 547, 1142, 1770, 540, 1587, 4421, 547, 3313, 519, 2910, 14899, 585, 602, 1808, 1587, 563, 1607, 14305, 1184, 568, 4105, 1317, 621, 2636, 519, 2754, 547, 8308, 3313, 519, 1942, 540, 6721, 1142, 1587, 269, 901, 1344, 568, 1287, 1031, 547, 1118, 5483, 1870, 3664, 971, 607, 14499, 2994, 267, 2504, 3664, 267, 543, 1942, 1852, 3800, 563, 2690, 1383, 267, 15475, 513, 2754, 30877, 602, 519, 1942, 540, 6721, 835, 1587, 568, 1454, 2362, 982, 519, 1942, 540, 6721, 1776, 269, 769, 602, 2013, 267, 621, 949, 3442, 547, 19944, 826, 519, 2362, 21057, 1587, 610, 1265, 2081, 547, 2569, 519, 1942, 540, 2504, 563, 7078, 1948, 273, 540, 2353, 6327, 9861, 13242, 538, 19098, 6657, 454, 3080, 1383, 540, 14305, 538, 8051, 2259, 568, 782, 20814, 9940, 3790, 547, 1114, 13623, 610, 2472, 1369, 513, 2754, 269, 1473, 1311, 3790, 267, 971, 607, 10519, 267, 20848, 267, 543, 5604, 7727, 267, 3112, 581, 2047, 14360, 547, 513, 1808, 1587, 610, 8257, 269, 1452, 3790, 1590, 581, 21248, 1851, 1114, 13623, 610, 2472, 547, 5173, 519, 1942, 540, 1142, 8308, 563, 2690, 1383, 267, 2015, 513, 5663, 2754, 609, 1614, 13623, 281, 2504, 267, 1382, 543, 1646, 267, 543, 7245, 269, 634, 2754, 814, 513, 2698, 9940, 1942, 540, 1269, 1911, 267, 1822, 585, 519, 1032, 267, 799, 2882, 10519, 267, 20848, 267, 543, 5604, 7727, 563, 763, 2754, 1522, 3313, 519, 8167, 540, 2230, 1142, 8257, 3096, 547, 21138, 891, 3790, 269, 1403, 2504, 3096, 476, 2412, 260, 540, 519, 2698, 2230, 267, 681, 22936, 3096, 476, 1789, 9077, 543, 7245, 3096, 476, 1789, 9077, 519, 2754, 1131, 21138, 476, 2412, 260, 540, 519, 9940, 3790, 547, 2504, 267, 476, 1789, 260, 547, 681, 22936, 267, 543, 476, 1789, 260, 547, 7245, 563, 9202, 267, 519, 2754, 1522, 21138, 9940, 3790, 1759, 593, 519, 1297, 540, 5520, 538, 1142, 8257, 269, 1403, 2504, 814, 476, 736, 5520, 267, 681, 22936, 814, 476, 1428, 267, 543, 7245, 814, 476, 1015, 267, 519, 2754, 1131, 21138, 9940, 3790, 1759, 593, 519, 5223, 540, 5520, 538, 1142, 8257, 563, 1103, 713, 1383, 267, 2504, 1131, 4309, 476, 2412, 260, 540, 519, 9940, 3790, 267, 681, 22936, 1131, 4309, 476, 1789, 9077, 543, 7245, 1131, 4309, 476, 1789, 18336, 7661, 267, 519, 2754, 1522, 21138, 9940, 3790, 1759, 593, 519, 1297, 540, 2472, 3812, 538, 1142, 8257, 269, 1403, 2504, 7472, 476, 1911, 271, 2472, 267, 681, 22936, 7472, 476, 4335, 267, 543, 7245, 7472, 9039, 267, 519, 2754, 1131, 21138, 9940, 3790, 1759, 593, 519, 5223, 540, 2472, 3812, 538, 1142, 8257, 563, 1103, 713, 1383, 267, 2504, 1131, 4309, 476, 6858, 260, 540, 519, 9940, 3790, 267, 681, 22936, 1131, 4309, 476, 1839, 9077, 543, 7245, 1131, 4309, 476, 279, 18336, 7078, 1948, 274, 540, 2353, 6327, 9861, 13242, 538, 19098, 6657, 454, 22428, 513, 5663, 2754, 7472, 1079, 2472, 281, 8605, 589, 543, 8605, 645, 269, 1677, 3313, 519, 1942, 540, 1142, 1587, 267, 519, 2754, 1590, 21138, 519, 12051, 16841, 3790, 267, 1519, 20848, 267, 10519, 267, 5826, 267, 543, 7727, 267, 1851, 824, 9276, 269, 634, 16841, 3790, 1590, 581, 8655, 547, 1142, 1587, 1759, 593, 519, 8167, 540, 2698, 3684, 3108, 1031, 547, 3132, 1142, 1587, 563, 2690, 1383, 267, 952, 519, 2754, 3096, 476, 2568, 260, 540, 519, 2698, 3684, 3108, 547, 3132, 8605, 589, 543, 476, 2412, 260, 547, 3132, 8605, 645, 267, 1287, 476, 2568, 260, 540, 519, 12051, 16841, 3790, 1131, 581, 21248, 547, 8605, 589, 543, 476, 2412, 260, 547, 8605, 645, 269, 634, 2754, 1131, 1287, 946, 519, 21248, 16841, 3790, 543, 519, 1463, 3790, 540, 1570, 543, 4074, 547, 5173, 519, 2698, 1942, 540, 1142, 1587, 563, 763, 14305, 540, 16841, 3790, 547, 1142, 1587, 568, 2565, 585, 519, 2754, 547, 8308, 3313, 519, 1942, 540, 5370, 4421, 543, 3902, 922, 2472, 8013, 569, 269, 634, 2754, 666, 946, 606, 14305, 1505, 547, 2327, 513, 4023, 543, 4977, 4605, 540, 519, 3790, 540, 6721, 1142, 1587, 563, 1692, 547, 1684, 8779, 2353, 6327, 538, 11822, 17778, 888, 21798, 14305, 666, 581, 1950, 267, 855, 621, 3085, 1406, 723, 547, 581, 269, 3371, 616, 2947, 2241, 3268, 585, 1942, 14305, 912, 3721, 476, 272, 281, 10576, 519, 26959, 2334, 10261, 547, 2142, 2353, 11343, 454, 763, 1101, 1900, 538, 1942, 14305, 568, 7114, 519, 3790, 602, 991, 547, 581, 21248, 269, 901, 2882, 1312, 1463, 543, 9940, 3790, 269, 6034, 3790, 666, 581, 3362, 14360, 547, 1808, 2472, 610, 2533, 267, 1247, 9940, 3790, 267, 971, 607, 10519, 543, 20848, 267, 3112, 563, 3721, 476, 273, 281, 7994, 519, 30785, 6396, 540, 8779, 2353, 6327 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 277, 5952, 1862, 994, 825, 630, 279, 267, 476, 271, 267, 476, 271, 269, 31404, 1862, 994, 825, 630, 280, 267, 476, 271, 267, 476, 271, 269, 276, 4510, 1862, 994, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 24699, 10031, 825, 8173, 825, 21188, 562, 28504, 815, 476, 275, 267, 476, 273, 454, 825, 21188, 6821, 267, 6402, 815, 1118, 8548, 10270, 3799, 28504, 994, 825, 21188, 1623, 5471, 686, 7458, 9078, 3855, 815, 27883, 328, 25814, 267, 272, 264, 585, 630, 328, 25814, 264, 538, 6402, 27994, 27007, 329, 267, 328, 267, 272, 264, 585, 630, 328, 25814, 264, 538, 6402, 2639, 825, 21188, 3113, 815, 1496, 343, 9792, 3799, 265, 333, 1070, 22131, 5471, 686, 7458, 9078, 3855, 2639, 825, 21188, 6402, 815, 4144, 329, 330, 14259, 14116, 1429, 267, 271, 994, 825, 21188, 10092, 815, 9598, 9230, 328, 267, 263, 329, 28504, 4297, 585, 630, 328, 25814, 28504, 264, 538, 6402, 994, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 32146, 10031, 825, 8173, 825, 21188, 3403, 815, 1412, 10472, 568, 513, 8799, 1554, 7055, 825, 21188, 10569, 267, 23876, 815, 31391, 20189, 4428, 2006, 9272, 994, 825, 21188, 1820, 23876, 454, 825, 476, 6200, 8099, 18733, 1911, 1911, 18733, 9826, 1822, 9340, 1911, 6200, 18733, 9826, 6200, 1822, 1822, 9340, 9340, 9340, 1015, 454, 825, 21188, 1232, 10757, 815, 1232, 1712, 20189, 4428, 2006, 263, 12399, 267, 16780, 10757, 994, 825, 21188, 1820, 1232, 10757, 2652, 3403, 454, 825, 6936, 454, 825, 21188, 1820, 476, 272, 269, 271, 265, 6352, 9272, 19422, 6352, 263, 16780, 10757, 8358, 279, 994, 825, 476, 273, 269, 6872, 2483, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 273, 10031, 825, 8173, 825, 21188, 689, 2979, 1104, 2845, 454, 825, 21188, 3403, 815, 1412, 10472, 568, 513, 8799, 1554, 7055, 825, 21188, 530, 815, 1496, 272, 269, 271, 265, 6358, 29644, 6262, 8358, 6352, 9272, 264, 585, 524, 538, 1305, 9272, 22708, 825, 21188, 661, 815, 910, 8999, 26028, 328, 265, 8421, 26028, 328, 267, 273, 264, 585, 530, 328, 538, 530, 994, 825, 21188, 1820, 661, 454, 825, 476, 274, 269, 2537, 2483, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 274, 10031, 825, 8173, 825, 21188, 31252, 272, 815, 1412, 2969, 294, 6311, 22721, 8980, 8980, 294, 2969, 24774, 28566, 8980, 2969, 8980, 6311, 8150, 2969, 8980, 6311, 290, 294, 6311, 8980, 288, 7055, 825, 21188, 31252, 273, 815, 1412, 294, 2969, 8980, 28566, 3722, 290, 3722, 288, 25353, 2969, 8150, 31769, 2969, 8980, 6311, 290, 294, 7563, 288, 2969, 290, 6311, 290, 16598, 7055, 825, 21188, 1820, 561, 14369, 5560, 3534, 272, 28504, 3534, 273, 994, 825, 476, 2918, 22562, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 275, 10031, 825, 8173, 825, 21188, 13279, 815, 1412, 2969, 24774, 7055, 825, 21188, 689, 4351, 1104, 3903, 454, 825, 21188, 6090, 815, 1496, 5257, 269, 21860, 263, 577, 4069, 6357, 1162, 264, 585, 737, 538, 1535, 9792, 263, 1015, 4297, 585, 1775, 538, 1535, 9792, 263, 736, 22708, 825, 21188, 15694, 272, 815, 1412, 8339, 21860, 263, 577, 4069, 263, 2102, 525, 264, 585, 1775, 538, 1535, 9792, 263, 1015, 4917, 825, 21188, 15694, 273, 815, 1412, 8339, 21860, 263, 577, 4069, 263, 2102, 525, 264, 585, 1775, 538, 1535, 9792, 263, 1015, 4917, 825, 21188, 1990, 815, 13549, 2006, 16062, 12584, 577, 263, 577, 668, 25593, 272, 267, 15694, 273, 994, 825, 21188, 2052, 11663, 6025, 1856, 8782, 23921, 548, 2006, 8862, 12584, 577, 262, 1040, 574, 19651, 18750, 1040, 338, 1511, 3488, 30502, 270, 928, 539, 548, 2006, 26666, 5073, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 276, 10031, 825, 8173, 825, 21188, 1219, 11973, 5416, 14720, 2187, 825, 3267, 672, 2132, 2979, 28460, 4433, 636, 9230, 343, 1532, 5157, 8079, 1262, 273, 585, 1775, 21726, 538, 26246, 5416, 21875, 825, 21188, 2798, 815, 20886, 12690, 3052, 320, 1380, 9217, 4939, 476, 276, 267, 271, 269, 274, 264, 585, 795, 538, 1535, 9792, 263, 1015, 13580, 585, 1775, 538, 1535, 9792, 263, 1220, 22708, 825, 21188, 524, 815, 1849, 13831, 263, 9557, 267, 13240, 994, 825, 21188, 678, 267, 13421, 815, 524, 26098, 263, 272, 264, 1948, 12440, 782, 2798, 2394, 835, 12440, 1152, 454, 825, 21188, 2052, 11663, 6025, 1856, 8782, 743, 755, 1359, 1383, 3299, 343, 18350, 8782, 323, 2700, 3299, 2643, 629, 8782, 15893, 540, 13421, 7055, 825, 3267, 11434, 15426, 7120, 6262, 6155, 323, 314, 5611, 281, 316, 1040, 338, 1511, 3488, 743, 755, 1359, 272, 26666, 5073, 825, 21188, 2052, 11663, 6025, 1856, 8782, 743, 755, 1359, 1383, 630, 273, 323, 16879, 264, 3299, 343, 18350, 8782, 335, 314, 271, 316, 3299, 2643, 629, 8782, 335, 314, 272, 316, 7055, 825, 3267, 11434, 15426, 749, 2354, 525, 8443, 335, 11468, 273, 316, 585, 533, 538, 2798, 316, 1040, 338, 1511, 3488, 743, 755, 1359, 273, 26666, 5073, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 277, 10031, 825, 8173, 825, 21188, 1273, 815, 20886, 314, 271, 267, 271, 3910, 1496, 271, 316, 3910, 20886, 271, 267, 272, 3910, 1496, 272, 316, 3910, 20886, 272, 267, 271, 3910, 1496, 272, 316, 3910, 20886, 272, 267, 272, 3910, 1496, 271, 14963, 2639, 825, 21188, 562, 815, 22532, 15187, 1740, 263, 273, 267, 476, 273, 267, 476, 272, 994, 825, 21188, 562, 6745, 1778, 263, 6312, 994, 825, 21188, 562, 6745, 652, 263, 6312, 994, 825, 1496, 271, 267, 476, 271, 316, 9847, 1496, 271, 269, 876, 1862, 2639, 825, 1496, 271, 267, 476, 272, 316, 9847, 1496, 271, 269, 7176, 1862, 2639, 825, 1496, 272, 267, 476, 271, 316, 9847, 1496, 271, 269, 7176, 1862, 2639, 825, 1496, 272, 267, 476, 272, 316, 9847, 30585, 271, 269, 876, 1862, 2639, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 279, 10031, 825, 8173, 825, 21188, 1219, 535, 3287, 2567, 2132, 1535, 20080, 268, 276, 269, 271, 20080, 454, 825, 21188, 1820, 535, 263, 271, 994, 825, 476, 271, 269, 271, 454, 825, 21188, 535, 272, 815, 667, 6600, 264, 1948, 1101, 12045, 454, 825, 21188, 1820, 535, 272, 263, 271, 994, 825, 910, 276, 269, 271, 454, 825, 21188, 535, 273, 815, 30250, 6600, 264, 1948, 2034, 12045, 454, 825, 21188, 1820, 535, 273, 263, 271, 994, 825, 476, 273, 269, 1822, 876, 2483, 825, 21188, 535, 273, 815, 667, 6600, 272, 264, 1948, 2034, 12045, 454, 825, 21188, 1820, 535, 273, 263, 271, 994, 825, 476, 272, 269, 15886, 4200, 2483, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 5400, 280, 10031, 825, 8173, 825, 21188, 2473, 815, 1496, 271, 269, 6734, 265, 328, 585, 1775, 538, 1535, 9792, 263, 1220, 22708, 825, 21188, 524, 815, 2052, 11663, 6025, 1856, 8782, 7562, 3287, 264, 4114, 574, 725, 5073, 825, 21188, 524, 19502, 8443, 263, 343, 267, 4118, 4732, 514, 3287, 4297, 585, 1535, 538, 2473, 3910, 5586, 754, 8782, 7562, 3287, 264, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 21726, 264, 585, 1535, 538, 2473, 11468, 1911, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 272, 560, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 21726, 14870, 1262, 274, 270, 277, 264, 585, 1535, 538, 2473, 11468, 1911, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 276, 628, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 21726, 14870, 1262, 274, 270, 277, 21147, 1262, 276, 270, 6344, 264, 585, 1535, 538, 2473, 11468, 1911, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 276, 628, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 4732, 1511, 3488, 30502, 4882, 514, 26666, 5073, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 271, 3445, 10031, 825, 8173, 825, 21188, 513, 815, 2979, 32564, 270, 273, 454, 825, 21188, 2473, 815, 1496, 271, 269, 6734, 265, 328, 585, 1775, 538, 1535, 9792, 263, 1220, 22708, 825, 21188, 524, 815, 2052, 11663, 6025, 1856, 8782, 7562, 3287, 264, 4114, 574, 725, 5073, 825, 21188, 524, 19502, 8443, 263, 343, 267, 4118, 4732, 514, 3287, 4297, 585, 1535, 538, 2473, 3910, 5586, 754, 8782, 7562, 3287, 264, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 267, 272, 24179, 343, 8584, 264, 1262, 273, 270, 273, 264, 585, 1535, 538, 2473, 11468, 5611, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 273, 526, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 267, 272, 24179, 343, 8584, 264, 1262, 273, 270, 273, 23444, 343, 8584, 264, 1262, 275, 270, 2190, 264, 585, 1535, 538, 2473, 11468, 5611, 316, 3910, 10828, 8782, 307, 11336, 476, 275, 628, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 19502, 8443, 263, 343, 267, 272, 24179, 343, 8584, 264, 1262, 273, 270, 273, 23444, 343, 8584, 264, 1262, 275, 270, 2190, 24179, 343, 8584, 264, 1262, 277, 270, 24798, 264, 585, 1535, 538, 2473, 11468, 5611, 316, 3910, 5586, 754, 8782, 307, 11336, 476, 277, 628, 5073, 825, 2999, 1862, 11417, 825, 21188, 524, 4732, 1511, 3488, 30502, 4882, 514, 273, 26666, 5073, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 272, 10031, 825, 8173, 825, 21188, 585, 1775, 538, 1535, 9792, 263, 1015, 2187, 825, 3267, 672, 1535, 284, 476, 271, 269, 272, 265, 328, 454, 825, 3267, 672, 7682, 2612, 30044, 10339, 3287, 264, 910, 2979, 269, 10339, 3287, 4297, 2999, 476, 272, 324, 268, 275, 22562, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 273, 10031, 825, 8173, 825, 21188, 585, 1775, 538, 1535, 9792, 263, 1015, 2187, 825, 3267, 672, 1535, 284, 476, 271, 269, 272, 265, 328, 454, 825, 3267, 672, 7682, 2612, 9852, 903, 514, 3287, 264, 910, 2979, 4732, 514, 3287, 4297, 2999, 476, 272, 324, 268, 275, 22562, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 274, 10031, 825, 8173, 825, 21188, 585, 1775, 538, 1535, 9792, 263, 1015, 2187, 825, 3267, 672, 1535, 815, 476, 271, 269, 272, 265, 328, 454, 825, 3267, 672, 7682, 2612, 30044, 6523, 3287, 264, 910, 2979, 269, 6523, 3287, 4297, 2999, 476, 272, 324, 268, 275, 22562, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 275, 10031, 825, 8173, 825, 21188, 589, 815, 19336, 31912, 272, 269, 271, 267, 273, 269, 271, 25662, 274, 269, 271, 267, 275, 269, 271, 316, 7481, 825, 21188, 1820, 589, 1341, 589, 8587, 1948, 7125, 589, 14857, 5417, 9191, 288, 994, 825, 20886, 273, 269, 271, 267, 476, 275, 269, 271, 3910, 1496, 277, 269, 271, 267, 476, 279, 269, 271, 27663, 825, 21188, 1820, 589, 1341, 476, 273, 8587, 1948, 7125, 589, 14857, 5417, 9191, 273, 994, 825, 20886, 274, 269, 271, 267, 476, 273, 269, 271, 3910, 1496, 274, 269, 271, 267, 476, 277, 269, 271, 27663, 825, 21188, 1820, 589, 910, 476, 272, 8587, 1948, 7125, 589, 14857, 5417, 9191, 272, 994, 825, 20886, 271, 269, 271, 267, 476, 273, 269, 271, 3910, 1496, 274, 269, 271, 267, 476, 274, 269, 271, 27663, 825, 21188, 1820, 910, 288, 1363, 1948, 7125, 589, 14857, 10864, 1029, 4590, 825, 1496, 15631, 272, 269, 271, 267, 910, 273, 269, 271, 3910, 30585, 274, 269, 271, 267, 910, 275, 269, 271, 27663, 825, 21188, 1820, 476, 276, 910, 589, 8587, 1948, 7125, 589, 14857, 3464, 889, 9191, 276, 994, 825, 20886, 275, 269, 271, 267, 910, 273, 269, 271, 3910, 30585, 274, 269, 271, 267, 476, 272, 269, 271, 27663, 825, 21188, 536, 815, 19336, 31912, 272, 269, 271, 25662, 273, 269, 271, 25662, 274, 269, 271, 316, 7481, 825, 21188, 1820, 536, 1341, 476, 273, 8587, 1948, 7125, 536, 14857, 5417, 9191, 273, 994, 825, 20886, 274, 269, 271, 3910, 1496, 275, 269, 271, 3910, 1496, 276, 269, 271, 27663, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 271, 4817, 10031, 825, 8173, 825, 21188, 589, 815, 19336, 31912, 272, 267, 273, 25662, 274, 267, 275, 316, 7481, 825, 21188, 1820, 589, 1341, 476, 272, 329, 454, 825, 20886, 263, 272, 266, 272, 329, 1070, 630, 273, 266, 271, 329, 264, 3910, 27883, 274, 266, 271, 329, 1070, 630, 275, 266, 272, 329, 13580, 2639, 8931, 825, 8173, 825, 1780, 7531, 3698, 1449, 6021, 277, 10031, 825, 8173, 825, 21188, 589, 815, 19336, 31912, 272, 269, 271, 267, 273, 269, 271, 25662, 274, 269, 271, 267, 275, 269, 271, 316, 7481, 825, 21188, 1820, 263, 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 ]

[ 7992, 938, 4703, 563, 7312, 5450, 20326, 15580, 1975, 833, 568, 4477, 6244, 676, 4826, 454, 763, 10894, 2557, 540, 519, 1480, 1560, 786, 2333, 676, 909, 547, 476, 1789, 260, 952, 621, 27499, 476, 1626, 13728, 1216, 829, 5662, 269, 901, 666, 1291, 547, 513, 4028, 4473, 538, 10307, 585, 519, 1985, 476, 1789, 268, 2412, 3764, 269, 3194, 5267, 602, 596, 666, 6336, 811, 2597, 676, 6704, 3368, 540, 707, 1560, 2597, 538, 13728, 1142, 1554, 269, 26100, 848, 568, 606, 11747, 602, 1590, 581, 15181, 676, 707, 1560, 547, 20834, 1125, 3170, 269, 898, 568, 1655, 547, 1205, 7759, 540, 621, 269, 4826, 568, 606, 1898, 5057, 538, 1437, 908, 9067, 848, 563, 12850, 29452, 2659, 4518, 8083, 13724, 2201, 589, 8426, 983, 5426, 454, 12850, 568, 1898, 585, 2635, 2281, 269, 25530, 2614, 1216, 786, 948, 596, 3635, 693, 513, 10408, 1377, 269, 5525, 1397, 602, 12675, 16608, 3635, 568, 1034, 4299, 676, 18024, 563, 19187, 20697, 568, 849, 1271, 547, 11694, 707, 23736, 269, 1717, 267, 1810, 1405, 4235, 707, 3003, 1216, 11480, 1318, 1354, 596, 1376, 707, 8400, 269, 10281, 1674, 568, 1883, 547, 2773, 538, 782, 3029, 540, 3635, 269, 1717, 267, 6704, 1216, 1991, 547, 513, 15904, 666, 1118, 596, 1745, 22376, 1375, 880, 543, 6336, 1445, 269, 1677, 1205, 6251, 547, 707, 8445, 2773, 267, 4235, 513, 4837, 540, 1216, 1063, 476, 736, 543, 476, 1789, 3764, 1354, 596, 1376, 707, 1985, 15904, 269, 1403, 2556, 267, 1491, 1507, 521, 2354, 782, 519, 1259, 998, 563, 12850, 568, 849, 1271, 585, 707, 1560, 781, 1648, 4859, 543, 7939, 269, 4826, 568, 2838, 547, 6125, 609, 25026, 4094, 538, 1931, 547, 1118, 606, 1648, 15395, 538, 707, 6091, 630, 21406, 21085, 1040, 1411, 616, 1447, 2111, 547, 4558, 1648, 1510, 1216, 1317, 596, 723, 1447, 5135, 538, 707, 4887, 267, 1447, 1973, 2095, 950, 13204, 3603, 543, 1447, 6765, 543, 16345, 25026, 4094, 547, 1118, 519, 1648, 596, 991, 269, 4746, 267, 4235, 2614, 1216, 547, 1832, 596, 10069, 1242, 563, 7804, 9722, 4826, 1280, 16164, 11588, 454, 2005, 666, 2014, 4049, 2960, 3441, 952, 596, 616, 5393, 13204, 3603, 269, 769, 4049, 2665, 540, 18024, 267, 2960, 949, 6336, 930, 540, 922, 22786, 543, 1491, 593, 513, 834, 339, 550, 532, 1198, 1701, 4014, 972, 568, 1100, 2963, 547, 1397, 602, 1216, 666, 1118, 513, 3017, 538, 2960, 267, 1216, 786, 979, 2786, 547, 707, 1898, 8219, 1101, 269, 1717, 267, 1082, 1004, 1867, 30437, 2960, 543, 20501, 2960, 1310, 2810, 741, 1216, 6981, 269, 898, 3085, 1405, 10413, 547, 4235, 1216, 269, 1411, 786, 849, 581, 7303, 4049, 18024, 971, 607, 3819, 267, 9395, 610, 28349, 2960, 563, 2791, 4024, 17547, 4825, 8724, 21418, 29079, 15907, 2659, 28438, 454, 15152, 31378, 25858, 1465, 666, 2014, 513, 18476, 3017, 538, 2960, 9403, 269, 25530, 1164, 1606, 18754, 3536, 267, 2523, 693, 3781, 267, 543, 711, 6704, 2614, 1216, 666, 2014, 4430, 12862, 547, 1628, 909, 1472, 707, 4064, 269, 901, 666, 1291, 547, 811, 25858, 1465, 896, 519, 4064, 563, 18455, 19872, 666, 2569, 25858, 1465, 1472, 519, 4064, 269, 645, 18847, 1899, 281, 4826, 568, 4105, 585, 4509, 513, 2635, 1560, 269, 1717, 267, 1216, 666, 849, 948, 2569, 896, 31378, 25858, 1465, 563, 1692, 13518, 4826, 9701, 1284, 27276, 1677, 13773, 10281, 3603, 888, 2414, 5173, 875, 1454, 1216, 596, 2154, 267, 7941, 707, 2597, 676, 3368, 543, 1287, 4235, 519, 4611, 2179, 538, 13728, 269, 1403, 596, 616, 476, 9610, 7273, 267, 596, 786, 991, 547, 8532, 476, 3583, 13728, 3232, 563, 2791, 1810, 1405, 723, 547, 4235, 1216, 952, 596, 5749, 1405, 513, 10178, 540, 1216, 269, 1717, 267, 596, 666, 3289, 3433, 609, 1216, 11656, 3536, 269, 634, 2817, 6298, 12562, 540, 3163, 267, 7177, 267, 543, 6925, 15565, 513, 3232, 6981, 540, 476, 10219, 13728, 829, 1554, 585, 2367, 543, 476, 11011, 585, 2021, 269, 1452, 2338, 3277, 547, 707, 2698, 5714, 6981, 543, 1331, 1022, 1426, 5627, 1216, 971, 607, 5613, 610, 5388, 269, 1411, 666, 1102, 2224, 513, 1216, 11480, 630, 933, 2648, 11993, 4248, 264, 609, 5613, 610, 5388, 547, 1118, 707, 1378, 838, 320, 1216, 269, 2107, 267, 596, 666, 1039, 513, 8929, 4837, 610, 1079, 540, 10433, 547, 513, 476, 1015, 268, 8784, 11480, 547, 2285, 621, 513, 2370, 811, 8137, 269, 901, 786, 1267, 538, 3648, 2539, 4006, 982, 10438, 519, 10433, 676, 3294, 563, 5978, 6178, 1155, 8605, 454, 3918, 309, 3951, 3201, 3041, 32723, 715, 22021, 17667, 8131, 13813, 454, 347, 17442, 3213, 2946, 1087, 10378, 11555, 309, 3951, 3201, 3041, 32723, 568, 513, 476, 1911, 260, 6986, 543, 16138, 5109, 5567, 25579, 5109, 5214, 3068, 3282, 269, 20153, 10184, 24025, 540, 476, 1428, 5214, 8770, 1673, 1619, 267, 3532, 27386, 338, 883, 513, 3623, 5652, 1606, 15879, 1054, 9403, 20205, 519, 11108, 1379, 547, 26016, 1125, 267, 11177, 267, 2149, 543, 3666, 2960, 269, 347, 0, 12850, 5533, 5037, 281, 1284, 991, 547, 4235, 1216, 547, 7639, 269, 1924, 972, 568, 513, 991, 585, 2973, 1216, 269, 1403, 649, 1810, 1406, 4235, 2973, 1216, 649, 786, 1205, 7210, 269, 1924, 2221, 649, 786, 917, 827, 519, 3123, 543, 14319, 540, 1216, 5533, 269, 2334, 568, 267, 2221, 649, 786, 917, 1216, 5533, 5037, 585, 1362, 476, 280, 1299, 1866, 563, 12850, 5533, 5037, 476, 7742, 1913, 454, 763, 2956, 540, 1216, 568, 10373, 269, 1284, 991, 1216, 585, 1272, 269, 1411, 991, 1216, 547, 7639, 269, 1809, 952, 713, 1216, 4991, 26130, 267, 1287, 519, 1216, 786, 2014, 2800, 547, 721, 269, 6271, 2012, 585, 1216, 568, 1272, 269, 1809, 519, 824, 2012, 585, 26130, 1216, 568, 2669, 269, 1924, 649, 723, 547, 3247, 1216, 5533, 269, 4826, 5533, 568, 519, 5533, 540, 1216, 4703, 543, 8933, 607, 513, 1267, 540, 1480, 2534, 269, 4826, 4703, 1611, 8933, 267, 15798, 267, 11895, 4224, 6106, 267, 3092, 269, 1879, 1216, 14107, 616, 1459, 538, 519, 1216, 267, 519, 1216, 568, 26130, 563, 12850, 12526, 2164, 538, 12159, 540, 519, 5117, 540, 519, 1604, 269, 1403, 596, 4235, 13572, 1216, 267, 1082, 3676, 616, 811, 1455, 269, 4826, 25645, 3676, 6146, 6634, 540, 1004, 5001, 1142, 1032, 269, 25530, 13572, 1216, 666, 1291, 547, 3676, 971, 607, 26601, 5028, 267, 7988, 550, 2044, 267, 27193, 1355, 267, 13165, 267, 7181, 13347, 543, 21399, 538, 519, 2960, 540, 519, 3946, 543, 3952, 563, 12850, 666, 581, 13572, 538, 1082, 2081, 269, 1280, 1383, 267, 28876, 540, 12418, 267, 1519, 12418, 543, 10889, 531, 3996, 267, 4259, 909, 4234, 21218, 2059, 519, 8492, 540, 519, 5757, 267, 4730, 609, 519, 3653, 1570, 540, 519, 12051, 538, 519, 5757, 267, 18530, 519, 1286, 322, 13293, 540, 2831, 883, 519, 5757, 267, 13851, 540, 6694, 2244, 666, 3575, 609, 519, 5757, 543, 519, 1216, 666, 581, 26130, 269, 634, 1216, 666, 849, 581, 13572, 269, 1717, 267, 1480, 2534, 3123, 519, 1034, 1216, 5533, 269, 1284, 616, 31362, 6000, 1813, 547, 1216, 5533, 563, 3383, 649, 723, 547, 960, 547, 2061, 1216, 5533, 269, 769, 713, 2013, 267, 621, 568, 2556, 547, 960, 593, 1857, 17376, 10675, 543, 4357, 7341, 269, 634, 2229, 666, 1118, 1004, 3222, 540, 519, 476, 1571, 540, 1216, 5533, 676, 12180, 1585, 29468, 269, 2311, 519, 1482, 942, 267, 7641, 9055, 267, 1519, 1514, 2923, 267, 666, 5031, 519, 859, 2812, 540, 1216, 5533, 538, 1114, 2081, 538, 4395, 540, 1004, 269, 1284, 786, 13948, 2119, 547, 1118, 1004, 3222, 540, 519, 5739, 3344, 540, 1216, 5533, 563, 2691, 1585, 17694, 616, 6404, 538, 1216, 543, 519, 1216, 568, 4652, 527, 585, 6704, 543, 519, 1216, 568, 8035, 762, 267, 621, 568, 1572, 1216, 5533, 269, 634, 1216, 568, 26130, 538, 1082, 2081, 269, 4826, 568, 1898, 585, 938, 6668, 269, 1809, 950, 519, 1216, 568, 26130, 267, 952, 649, 4235, 602, 1216, 267, 649, 666, 1205, 7210, 269, 5272, 1032, 267, 6634, 540, 1004, 1472, 519, 1158, 5884, 689, 1216, 25645, 3676, 269, 6270, 607, 26601, 5028, 267, 7988, 550, 2044, 267, 27193, 1355, 267, 13165, 267, 7181, 13347, 543, 21399, 538, 519, 2960, 540, 519, 3946, 543, 3952, 267, 3092, 269, 4826, 666, 581, 13572, 538, 1082, 2081, 563, 2690, 1383, 267, 952, 513, 4234, 9068, 568, 5116, 1985, 547, 513, 11432, 610, 5757, 267, 950, 3114, 13851, 1031, 538, 519, 2361, 616, 6404, 609, 1216, 267, 519, 1216, 568, 13572, 950, 519, 3653, 2326, 540, 519, 12051, 616, 6404, 609, 1216, 269, 18766, 689, 713, 267, 6704, 1216, 5627, 28227, 2306, 1004, 7210, 269, 2334, 779, 1946, 649, 991, 547, 3247, 1216, 5533, 563, 3528, 2542, 1216, 5533, 5037, 585, 521, 2675, 267, 596, 949, 1224, 891, 2376, 849, 912, 2414, 2061, 1216, 5533, 267, 649, 786, 711, 4734, 608, 920, 3279, 538, 519, 1930, 267, 649, 786, 711, 12235, 20203, 16382, 621, 568, 267, 649, 786, 711, 946, 3606, 3114, 18168, 543, 13851, 267, 649, 723, 547, 2087, 519, 12775, 1062, 269, 769, 1840, 267, 3800, 1058, 581, 3144, 547, 2061, 1216, 5533, 998, 4357, 11036, 563, 4263, 1585, 2053, 267, 1216, 666, 581, 13572, 1813, 547, 2067, 12469, 971, 607, 17160, 269, 3973, 649, 666, 1118, 12417, 547, 2973, 519, 1216, 538, 1114, 2081, 269, 6270, 607, 14495, 1216, 267, 11544, 6464, 538, 1216, 543, 1625, 4328, 1216, 267, 3092, 269, 25530, 13572, 1216, 5012, 547, 1585, 3676, 267, 1519, 13165, 269, 1403, 649, 1616, 547, 2057, 1216, 25645, 3676, 267, 649, 723, 547, 2061, 1216, 5533, 269, 1280, 713, 267, 1857, 543, 4357, 7341, 616, 2877, 563, 17484, 540, 1216, 5533, 5037, 585, 554, 2675, 1299, 782, 454, 2171, 917, 865, 2484, 1216, 5533, 5037, 585, 521, 2675, 269, 1284, 4121, 875, 1216, 568, 26130, 543, 2081, 547, 2061, 1216, 5533, 269, 16593, 713, 5037, 786, 581, 3730, 585, 721, 269, 24225, 568, 1271, 538, 981, 269, 4826, 5533, 5037, 476, 7742, 1913, 2052, 596, 2995, 721, 707, 8292, 827, 519, 5037, 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 ]

[ 0, 531, 8224, 815, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 834, 1477, 12072, 15461, 16229, 815, 9598, 18750, 760, 263, 531, 8224, 267, 2039, 12759, 263, 531, 8224, 4297, 17903, 8161, 15461, 318, 12072, 815, 9598, 18750, 760, 263, 9792, 12759, 263, 531, 8224, 24270, 9904, 17903, 5897, 3698, 17278, 9852, 20687, 267, 6521, 284, 274, 8029, 825, 29905, 815, 834, 257, 5897, 825, 585, 4484, 538, 5048, 6769, 1038, 1297, 815, 630, 12072, 15461, 16229, 314, 12072, 316, 1341, 6521, 264, 4939, 7003, 263, 12072, 15461, 16229, 3418, 1038, 4484, 815, 4994, 15461, 318, 12072, 314, 15893, 15947, 1038, 29905, 6834, 4484, 5897, 825, 2132, 29905, 24653, 3698, 1232, 7973, 6262, 8327, 267, 6521, 284, 274, 8029, 825, 1232, 7973, 539, 815, 834, 257, 5897, 825, 585, 4484, 538, 29905, 6769, 1038, 1297, 815, 630, 12072, 15461, 16229, 314, 12072, 316, 910, 6521, 264, 4939, 7003, 263, 12072, 15461, 16229, 3418, 1038, 4484, 815, 4994, 15461, 318, 12072, 314, 15893, 15947, 1038, 1232, 7973, 539, 6834, 4484, 5897, 825, 2132, 1232, 7973, 539, 24653, 258, 1219, 1292, 28399, 258, 672, 5048, 815, 1412, 3430, 871, 520, 12158, 262, 1477, 258, 672, 29905, 815, 17278, 9852, 20687, 267, 6521, 284, 274, 3418, 258, 672, 1232, 7973, 539, 815, 1232, 7973, 6262, 8327, 267, 6521, 284, 274, 3418, 258, 1477, 258, 672, 1820, 3488, 24314, 5048, 281, 1412, 1341, 5048, 3418, 258, 672, 1820, 3488, 21886, 7973, 539, 5048, 281, 1412, 1341, 29905, 3418, 258, 672, 1820, 3488, 13356, 7973, 539, 5048, 281, 1412, 1341, 1232, 7973, 539, 3418, 258, 1477, 258, 1292, 3890, 0, 5228, 1448, 8170, 10501, 557, 1104, 8672, 8170, 10501, 557, 267, 3406, 318, 4650, 454, 5228, 15040, 1104, 6178, 1155, 17653, 1807, 454, 5228, 19027, 1104, 6178, 1155, 19723, 881, 1807, 692, 3698, 568, 318, 18905, 3799, 2187, 825, 952, 562, 2999, 476, 273, 912, 1038, 2132, 8771, 454, 825, 3116, 912, 1038, 585, 1775, 538, 2039, 263, 273, 267, 562, 2187, 2018, 952, 1775, 2608, 1775, 3436, 562, 912, 3546, 2736, 454, 2018, 8640, 562, 4939, 1775, 2652, 476, 271, 912, 3546, 2132, 8771, 454, 1038, 2132, 6936, 454, 258, 1492, 1599, 2132, 5021, 6305, 1931, 563, 3698, 3406, 10734, 848, 318, 4812, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 2187, 825, 22917, 815, 910, 272, 454, 825, 683, 340, 815, 910, 272, 454, 825, 3193, 318, 4650, 815, 910, 272, 454, 825, 585, 1535, 538, 2039, 9638, 10501, 557, 2187, 1038, 585, 586, 538, 2039, 9638, 10501, 557, 2187, 2018, 952, 630, 344, 2608, 586, 264, 4939, 533, 10501, 557, 2652, 16733, 343, 2878, 476, 274, 264, 1341, 630, 320, 10501, 557, 2608, 1535, 264, 1341, 536, 10501, 557, 264, 4939, 533, 10501, 557, 912, 3546, 1448, 815, 8672, 8170, 10501, 557, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 267, 1535, 267, 586, 994, 3546, 1448, 269, 4650, 815, 3406, 318, 4650, 263, 4812, 994, 3546, 1820, 1412, 27237, 6305, 1931, 24222, 9612, 8921, 8672, 7055, 3546, 952, 568, 318, 18905, 263, 4812, 269, 4650, 2187, 7386, 952, 3193, 318, 4650, 2999, 1448, 269, 4650, 912, 13376, 1820, 1412, 28269, 1931, 568, 1336, 256, 7055, 13376, 1820, 1412, 4650, 2433, 22207, 1448, 269, 4650, 454, 13376, 1820, 1412, 343, 2433, 22207, 1535, 454, 13376, 1820, 1412, 344, 2433, 22207, 586, 454, 13376, 22917, 815, 1535, 454, 13376, 683, 340, 815, 586, 454, 13376, 3193, 318, 4650, 815, 1448, 269, 4650, 22562, 825, 7682, 22917, 3436, 910, 272, 543, 683, 340, 3436, 910, 272, 543, 3193, 318, 4650, 3436, 910, 272, 267, 834, 2207, 305, 3036, 2433, 9612, 568, 674, 9229, 4840, 825, 2132, 22917, 267, 683, 340, 7531, 3698, 5173, 318, 1723, 26476, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 267, 1931, 2187, 825, 1990, 815, 476, 271, 454, 825, 585, 1535, 538, 2039, 9638, 10501, 557, 2187, 1038, 585, 586, 538, 2039, 9638, 10501, 557, 2187, 2018, 952, 630, 344, 2608, 586, 264, 4939, 533, 10501, 557, 2652, 16733, 343, 2878, 476, 274, 264, 1341, 630, 320, 10501, 557, 2608, 1535, 264, 1341, 536, 10501, 557, 264, 4939, 533, 10501, 557, 912, 3546, 1990, 6834, 476, 272, 454, 825, 1820, 1990, 454, 825, 1820, 1412, 1723, 26476, 281, 22207, 1990, 1315, 1931, 692, 3698, 1292, 10031, 825, 1948, 335, 815, 476, 1556, 454, 825, 1948, 320, 815, 476, 272, 454, 825, 1948, 321, 815, 476, 277, 454, 825, 1820, 2891, 11960, 7052, 1262, 25929, 6347, 6178, 1155, 20594, 5602, 825, 1820, 2891, 11767, 519, 476, 7455, 2609, 586, 317, 273, 24210, 317, 274, 266, 513, 2608, 1535, 1341, 536, 19515, 825, 513, 10501, 557, 25507, 9272, 2891, 10938, 519, 1871, 540, 513, 282, 27328, 825, 536, 10501, 557, 25507, 9272, 2891, 10938, 519, 1871, 540, 536, 282, 27328, 825, 533, 10501, 557, 25507, 9272, 2891, 10938, 519, 1871, 540, 623, 630, 18905, 5148, 834, 11723, 825, 544, 815, 3863, 17750, 2891, 10938, 519, 5048, 547, 1129, 324, 281, 19515, 825, 1820, 9852, 2020, 825, 1535, 267, 586, 815, 3406, 10734, 848, 318, 4812, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 994, 8931, 825, 1448, 815, 8672, 8170, 10501, 557, 9638, 10501, 557, 267, 513, 10501, 557, 267, 536, 10501, 557, 267, 1535, 267, 586, 994, 825, 1448, 269, 4650, 815, 3406, 318, 4650, 263, 4812, 994, 825, 5173, 318, 1723, 26476, 9638, 10501, 557, 28083, 10501, 557, 14720, 10501, 557, 267, 4812, 269, 4650, 994, 8931, 825, 521, 326, 815, 6178, 1155, 17653, 1807, 263, 4812, 267, 544, 994, 825, 533, 330, 815, 521, 326, 10947, 7272, 3016, 318, 4486, 4590, 825, 1820, 1412, 304, 2433, 3299, 533, 330, 22562, 825, 678, 267, 521, 815, 521, 326, 10947, 5334, 793, 1155, 4590, 825, 454, 825, 521, 341, 815, 6178, 1155, 19723, 881, 1807, 263, 4812, 267, 544, 994, 825, 521, 341, 269, 591, 1518, 8548, 20687, 16868, 267, 521, 267, 533, 330, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 5228, 4604, 1104, 4258, 1087, 4580, 267, 4351, 318, 4580, 454, 5228, 24626, 1104, 10830, 290, 3916, 6883, 22069, 591, 267, 3244, 4327, 2304, 928, 2718, 22069, 591, 454, 5228, 5299, 1104, 2620, 32476, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 2891, 5425, 476, 22213, 271, 5741, 476, 273, 5602, 825, 1820, 2891, 333, 268, 4302, 839, 24626, 15419, 825, 562, 815, 476, 279, 692, 825, 1247, 562, 11203, 476, 271, 912, 1038, 1820, 2891, 2411, 5602, 1038, 1820, 2891, 13911, 538, 519, 10155, 540, 519, 4604, 267, 610, 476, 271, 547, 14827, 281, 5602, 1038, 562, 815, 703, 9272, 15405, 1038, 1820, 10797, 1038, 952, 562, 2652, 476, 271, 912, 2018, 3136, 692, 1038, 536, 815, 4351, 318, 4580, 3799, 2020, 1038, 1820, 2891, 17653, 730, 15079, 343, 24001, 4604, 281, 2668, 8971, 3799, 267, 562, 4917, 1038, 1820, 6357, 994, 1038, 646, 22618, 815, 536, 269, 20813, 26555, 4590, 1038, 1820, 2891, 10831, 540, 7526, 815, 2580, 646, 22618, 267, 1412, 315, 333, 17210, 1038, 1948, 10830, 29725, 6883, 8827, 454, 1038, 554, 322, 815, 10830, 290, 3916, 6883, 22069, 591, 6357, 267, 562, 994, 1038, 3070, 20189, 322, 815, 554, 322, 4732, 9876, 10797, 1038, 1820, 2891, 295, 650, 29725, 6883, 8827, 281, 5602, 1038, 1820, 4433, 1828, 20189, 322, 994, 1038, 646, 22618, 20189, 322, 815, 3070, 20189, 322, 269, 20813, 26555, 4590, 1038, 1820, 2891, 10831, 540, 7526, 815, 2580, 646, 22618, 20189, 322, 994, 1038, 1820, 2891, 306, 22066, 281, 15079, 2668, 8971, 2891, 312, 2464, 257, 952, 646, 22618, 20189, 322, 2652, 476, 271, 3116, 834, 17472, 27363, 1038, 1820, 10797, 1038, 1948, 3244, 4327, 14732, 2718, 454, 1038, 554, 322, 815, 3244, 4327, 2304, 928, 2718, 22069, 591, 6357, 267, 562, 994, 1038, 3070, 20189, 322, 815, 554, 322, 4732, 9876, 10797, 1038, 1820, 2891, 8245, 4327, 14732, 2718, 8827, 281, 5602, 1038, 1820, 4433, 1828, 20189, 322, 994, 1038, 646, 22618, 20189, 322, 815, 3070, 20189, 322, 269, 20813, 26555, 4590, 1038, 1820, 2891, 10831, 540, 7526, 815, 2580, 646, 22618, 20189, 322, 994, 1038, 1820, 2891, 306, 22066, 281, 15079, 2668, 8971, 2891, 312, 2464, 257, 952, 646, 22618, 20189, 322, 2652, 476, 271, 3116, 834, 17472, 8442, 2020, 1038, 1820, 4590, 0, 258, 7611, 1362, 692, 258, 12041, 281, 15623, 13100, 3430, 692, 5035, 3296, 10031, 453, 2889, 13940, 528, 815, 7183, 1948, 2012, 540, 7548, 3450, 519, 1576, 454, 453, 7611, 815, 7183, 1948, 3296, 6003, 267, 1915, 454, 453, 5503, 815, 7183, 1948, 1376, 942, 454, 453, 323, 4851, 815, 7183, 1948, 8653, 540, 1362, 454, 453, 331, 6327, 815, 7183, 1948, 4087, 540, 1362, 454, 453, 523, 2651, 618, 815, 7183, 1948, 2875, 27350, 538, 713, 3296, 540, 1362, 7531, 453, 258, 9616, 281, 6810, 616, 21630, 676, 741, 3296, 1915, 563, 22592, 6449, 8181, 9191, 1345, 267, 2889, 13940, 528, 267, 7611, 267, 5503, 28504, 4851, 267, 331, 6327, 267, 523, 2651, 618, 2187, 453, 19677, 15630, 23178, 263, 2889, 13940, 528, 994, 453, 19677, 15630, 4089, 263, 7611, 269, 21639, 15405, 453, 19677, 15630, 11742, 263, 5503, 994, 453, 19677, 15630, 291, 4851, 630, 323, 4851, 994, 453, 19677, 15630, 19613, 10857, 6327, 994, 453, 19677, 15630, 5319, 2651, 618, 263, 523, 2651, 618, 264, 8528, 453, 258, 7021, 8586, 9949, 5569, 1505, 269, 4024, 1152, 2132, 519, 3296, 1915, 563, 22592, 6449, 1598, 9191, 1345, 2187, 453, 16596, 1582, 269, 7611, 692, 453, 258, 3553, 1562, 585, 782, 4632, 454, 22592, 1305, 23178, 4311, 267, 2889, 13940, 528, 2567, 1948, 29019, 711, 2270, 1022, 2338, 454, 453, 22610, 1347, 538, 7548, 912, 4848, 14851, 1347, 18994, 323, 13424, 10031, 15235, 13537, 2891, 1103, 20777, 7548, 3403, 269, 7905, 4408, 798, 711, 2270, 2338, 26142, 333, 5602, 15235, 13537, 2891, 9377, 5435, 532, 547, 7548, 585, 7548, 5602, 15235, 19677, 269, 2889, 13940, 528, 815, 834, 2889, 13940, 528, 4840, 15235, 16596, 454, 453, 19677, 269, 2889, 13940, 528, 815, 7548, 692, 22592, 1305, 4089, 4311, 267, 10420, 2567, 1948, 952, 2016, 2789, 3197, 798, 4986, 454, 453, 14851, 7003, 263, 10420, 264, 3436, 476, 272, 281, 1948, 28717, 331, 4660, 3403, 454, 4848, 13537, 19629, 333, 19152, 1590, 581, 513, 2582, 1915, 269, 7151, 281, 645, 1422, 333, 257, 12467, 4848, 13537, 2891, 9377, 5435, 532, 547, 589, 585, 3296, 14826, 14826, 5602, 4848, 19677, 269, 7611, 815, 257, 288, 4840, 453, 28432, 912, 4848, 19677, 269, 7611, 815, 1347, 692, 22592, 1305, 11742, 4311, 267, 5503, 2567, 1948, 1590, 581, 513, 5569, 540, 1106, 1297, 281, 15893, 454, 453, 453, 6358, 307, 340, 921, 815, 942, 269, 4820, 819, 2891, 281, 8442, 1948, 4958, 5281, 24042, 20886, 15893, 3910, 11468, 25662, 15893, 316, 6540, 453, 14851, 3403, 307, 340, 921, 314, 271, 4940, 529, 323, 13424, 3890, 543, 7003, 9272, 307, 340, 921, 314, 271, 8079, 10922, 476, 273, 476, 543, 3403, 307, 340, 921, 314, 6352, 9272, 307, 340, 921, 9984, 272, 4940, 529, 323, 13424, 3890, 543, 7003, 9272, 307, 340, 921, 314, 6352, 9272, 307, 340, 921, 9984, 272, 8079, 10922, 476, 273, 912, 4848, 19677, 28333, 815, 942, 692, 453, 28432, 912, 4848, 13537, 9497, 19152, 1590, 581, 513, 942, 269, 7151, 281, 476, 1015, 281, 1789, 1422, 333, 5602, 4848, 13537, 2891, 9377, 5435, 532, 547, 476, 876, 281, 876, 585, 942, 5602, 4848, 19677, 28333, 815, 834, 876, 281, 876, 5016, 454, 22592, 1305, 291, 4851, 4311, 267, 8653, 2567, 1948, 1590, 581, 540, 1106, 1871, 1770, 608, 281, 476, 2004, 1295, 454, 453, 453, 6358, 21803, 815, 8653, 25331, 29328, 3890, 1948, 29328, 782, 911, 4979, 16543, 10628, 454, 453, 453, 6358, 21803, 815, 8653, 7456, 29328, 3890, 1948, 29328, 782, 3056, 16543, 10628, 692, 453, 453, 5503, 4462, 1080, 815, 1592, 263, 28829, 1948, 786, 581, 22373, 2381, 2580, 834, 327, 3464, 31116, 453, 453, 5503, 4462, 1080, 6910, 2891, 2381, 5602, 453, 453, 5503, 4462, 1080, 6910, 2891, 327, 3464, 15419, 453, 453, 12248, 815, 476, 271, 1948, 9214, 618, 547, 3313, 799, 1770, 13292, 692, 453, 453, 6358, 21803, 815, 3403, 21803, 21858, 3890, 1948, 29019, 8237, 593, 519, 2230, 6967, 692, 453, 14851, 7003, 9272, 21803, 264, 3436, 476, 273, 2433, 1948, 23380, 3403, 454, 4848, 13537, 2891 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5116, 3330, 30788, 12699, 19460, 609, 2837, 1852, 585, 8022, 543, 9023, 269, 22203, 543, 32340, 269, 952, 519, 13621, 2837, 540, 6445, 518, 4496, 568, 2539, 982, 476, 14596, 9180, 543, 849, 2539, 982, 519, 13621, 1448, 540, 519, 1570, 540, 3334, 1287, 621, 568, 917, 607, 4421, 1359, 610, 2571, 4421, 1359, 269, 2776, 31419, 840, 845, 5283, 1206, 543, 25361, 519, 4745, 269, 5111, 476, 2412, 260, 31626, 269, 3040, 667, 760, 4858, 4506, 769, 16702, 2909, 4506, 3334, 609, 6445, 518, 4496, 538, 1697, 1106, 568, 840, 31419, 693, 519, 4745, 543, 10198, 568, 1019, 5529, 538, 8602, 540, 25183, 6070, 799, 6411, 607, 3002, 2707, 607, 1134, 607, 13441, 585, 2909, 4506, 269, 476, 1428, 268, 2764, 260, 31626, 269, 674, 14525, 4496, 949, 581, 2901, 840, 31419, 538, 1106, 540, 729, 1667, 269, 538, 1063, 13841, 543, 2909, 4506, 972, 568, 1776, 1184, 17941, 607, 2048, 3630, 2763, 13841, 8339, 16907, 1314, 543, 536, 7595, 3679, 616, 4122, 1031, 13441, 525, 585, 2909, 4506, 609, 7601, 3490, 6445, 518, 8407, 4318, 269, 3040, 21079, 2627, 8082, 540, 25183, 6445, 518, 4496, 1775, 269, 3040, 13363, 519, 2627, 689, 16617, 1282, 11836, 5106, 269, 14816, 543, 5911, 269, 4646, 17446, 269, 1403, 519, 6445, 518, 4496, 568, 2348, 13621, 2837, 811, 982, 476, 14596, 9180, 855, 2539, 982, 519, 13621, 2837, 540, 3334, 1287, 621, 568, 17941, 607, 1184, 540, 2909, 4506, 610, 2182, 4421, 1359, 269, 1717, 269, 3509, 824, 5010, 13441, 525, 949, 581, 2139, 538, 519, 1106, 540, 13594, 610, 5277, 3070, 3056, 547, 8897, 540, 3498, 543, 15984, 547, 519, 2627, 538, 1022, 2990, 269, 14816, 269, 32340, 610, 949, 581, 10480, 16924, 538, 1106, 540, 11425, 269, 476, 272, 260, 15281, 563, 323, 760, 4421, 1359, 269, 12071, 343, 525, 1031, 538, 4421, 1359, 616, 16139, 1756, 17296, 269, 634, 3334, 616, 4448, 547, 1164, 1699, 543, 1970, 6453, 1379, 3761, 998, 1079, 22809, 896, 2604, 269, 23240, 269, 15316, 4421, 1359, 2409, 616, 4421, 1359, 609, 4421, 1359, 3352, 976, 269, 634, 1034, 4122, 1031, 1151, 1457, 568, 1291, 543, 17646, 18585, 5627, 17646, 8151, 689, 476, 276, 547, 476, 3583, 260, 543, 1291, 476, 4817, 547, 476, 1789, 10065, 276, 8988, 1040, 5161, 540, 1202, 4327, 6023, 543, 1439, 568, 19034, 609, 7601, 9133, 799, 949, 581, 12699, 30788, 610, 538, 1071, 651, 610, 3282, 17320, 553, 17991, 19460, 269, 13719, 568, 519, 8022, 1198, 1247, 2539, 12451, 540, 1699, 1291, 547, 4514, 8022, 543, 865, 621, 666, 581, 6964, 585, 23198, 6810, 269, 901, 3002, 5283, 1206, 519, 1151, 1457, 543, 25361, 519, 4745, 676, 31479, 2962, 269, 273, 281, 30003, 8682, 674, 4869, 1005, 4858, 4506, 13909, 22307, 1359, 281, 634, 4421, 1359, 6445, 518, 4496, 568, 1572, 1151, 1457, 269, 6656, 269, 23290, 4421, 1359, 269, 17646, 1606, 559, 591, 1151, 1457, 630, 339, 514, 476, 9834, 260, 543, 8988, 476, 275, 22103, 1452, 616, 2139, 538, 519, 1106, 540, 13063, 269, 22307, 1359, 4401, 1373, 1031, 585, 8261, 4421, 1359, 269, 1102, 571, 268, 1042, 543, 24318, 21319, 4421, 1359, 269, 887, 7562, 543, 887, 7562, 15702, 538, 4568, 269, 2539, 519, 13621, 1448, 540, 18585, 269, 8307, 1346, 13441, 525, 616, 1031, 799, 616, 30788, 25801, 543, 6445, 518, 4496, 568, 840, 31419, 269, 3040, 18650, 4858, 4506, 769, 4187, 2909, 4506, 519, 3002, 568, 6383, 693, 519, 17103, 547, 581, 2909, 7458, 676, 5706, 633, 8022, 269, 4187, 4421, 1359, 269, 15632, 4421, 1359, 269, 840, 13257, 269, 8299, 337, 21319, 4421, 1359, 3096, 24318, 1783, 923, 1775, 269, 20017, 26606, 1606, 559, 591, 1151, 1457, 630, 4817, 260, 20017, 26606, 543, 476, 276, 260, 8988, 1040, 1164, 4908, 21513, 799, 2736, 519, 27911, 593, 519, 2627, 540, 960, 20355, 543, 3002, 4927, 581, 6383, 1813, 547, 27012, 1063, 7252, 269, 8431, 476, 274, 269, 22307, 518, 568, 4547, 547, 25183, 1533, 676, 15700, 621, 547, 519, 9133, 540, 519, 4421, 1359, 4401, 865, 602, 25183, 1151, 1457, 666, 3262, 547, 519, 4745, 2627, 269, 26781, 543, 13594, 610, 8645, 269, 4033, 6445, 518, 4496, 616, 17646, 268, 656, 574, 3415, 1151, 1457, 630, 4817, 260, 17646, 543, 476, 276, 260, 17059, 3415, 1040, 763, 3002, 568, 6383, 676, 13251, 1699, 883, 519, 32179, 689, 513, 1216, 22799, 16509, 799, 27788, 519, 960, 20355, 547, 581, 2909, 7458, 269, 12071, 343, 1763, 573, 826, 9615, 281, 1547, 4396, 543, 13441, 524, 1819, 12904, 269, 4400, 12451, 6964, 4268, 689, 476, 276, 547, 476, 6110, 737, 13703, 269, 14451, 519, 4908, 540, 1699, 269, 17646, 22271, 4532, 1151, 1457, 630, 11011, 547, 476, 1789, 260, 17646, 543, 476, 280, 547, 476, 3583, 260, 13058, 1040, 14451, 519, 9115, 540, 17646, 269, 12071, 343, 525, 949, 610, 949, 711, 581, 1031, 1282, 2909, 4506, 269, 476, 272, 269, 13058, 17296, 4318, 269, 276, 17646, 543, 476, 272, 269, 1291, 1606, 559, 591, 1151, 1457, 630, 9032, 260, 1291, 269, 14089, 4421, 1359, 563, 288, 8260, 7758, 269, 6884, 9252, 15191, 949, 581, 4294, 4553, 676, 5911, 17678, 269, 1403, 2627, 9096, 543, 1106, 616, 711, 2565, 269, 689, 11956, 610, 16243, 5374, 269, 4858, 4506, 13441, 22016, 666, 581, 6569, 676, 32092, 532, 609, 3905, 1216, 4553, 676, 15018, 269, 21567, 6293, 30518, 269, 634, 8260, 7758, 543, 32179, 616, 1287, 29352, 1927, 693, 1164, 11250, 269, 19045, 1975, 15619, 19045, 18343, 269, 849, 1634, 607, 8095, 8108, 610, 18343, 269, 8022, 543, 844, 523, 4221, 269, 849, 1634, 607, 513, 1106, 269, 3434, 2264, 269, 634, 8006, 543, 3178, 540, 4646, 2694, 616, 3908, 1152, 676, 519, 2450, 540, 519, 3937, 2139, 269, 6713, 634, 18343, 1184, 568, 9425, 2241, 4318, 269, 20497, 3156, 1331, 15177, 9224, 25862, 269, 20614, 8654, 269, 16560, 7622, 5370, 543, 2712, 985, 269, 589, 811, 3238, 1184, 269, 1763, 573, 826, 8851, 540, 13058, 17296, 3490, 13441, 525, 666, 581, 6913, 676, 11067, 1101, 538, 476, 273, 260, 8652, 18608, 545, 3679, 6404, 538, 3905, 1216, 4553, 676, 2241, 3905, 1216, 32092, 532, 269, 11822, 960, 20355, 616, 1175, 6569, 689, 519, 8260, 7758, 269, 22307, 1359, 13441, 22016, 540, 887, 7562, 13441, 666, 581, 2451, 593, 519, 2627, 540, 4745, 269, 2691, 2909, 4506, 610, 4421, 1359, 568, 6192, 1287, 519, 13441, 22016, 616, 547, 581, 6569, 1317, 1510, 8851, 519, 22016, 949, 1291, 547, 14809, 540, 32234, 269, 855, 811, 1950, 5546, 949, 2154, 513, 3818, 1790, 19991, 8260, 7758, 269, 17667, 13441, 22016, 616, 19729, 538, 3905, 1216, 865, 5595, 8375, 538, 3636, 1216, 4927, 4894, 621, 269, 3154, 26561, 269, 547, 1164, 3613, 31104, 269, 1634, 607, 4227, 610, 8405, 532, 269, 589, 840, 13355, 4496, 12210, 568, 1287, 28728, 539, 1996, 519, 8260, 7758, 676, 513, 2604, 14950, 269, 2636, 513, 838, 684, 32179, 547, 1331, 556, 550, 7949, 22762, 1845, 269, 2705, 269, 799, 568, 7923, 547, 519, 2766, 18450, 269, 1403, 519, 21225, 568, 20202, 1287, 621, 666, 581, 6569, 676, 8143, 8710, 1775, 269, 1975, 15619, 666, 581, 5340, 676, 1688, 610, 676, 513, 18981, 4234, 515, 269, 799, 1287, 15835, 2476, 1310, 18343, 269, 1164, 27529, 23212, 269, 543, 1857, 3653, 7789, 8163, 269, 5221, 519, 3803, 8006, 540, 519, 32179, 568, 2141, 1447, 982, 519, 4358, 8006, 519, 32179, 1590, 5394, 523, 269, 610, 31617, 4931, 325, 5166, 6053, 269, 568, 513, 4496, 11529, 1184, 676, 799, 513, 1167, 610, 8546, 540, 4496, 568, 29352, 693, 1164, 3432, 543, 4646, 883, 606, 4949, 6053, 21136, 851, 269, 19045, 18343, 9832, 689, 606, 1148, 16388, 781, 20614, 547, 519, 1034, 25368, 1259, 547, 1106, 5180, 4496, 2694, 585, 5010, 3156, 269, 634, 3196, 568, 2356, 4294, 3842, 1585, 682, 30099, 2645, 269, 28608, 2234, 6053, 269, 589, 22297, 3196, 568, 1287, 4294, 547, 519, 32179, 547, 2014, 621, 547, 2095, 936, 519, 8260, 7758, 269, 3203, 24326, 946, 519, 1184, 547, 3132, 11265, 1469, 269, 21449, 821, 610, 3327, 25543, 18608, 728, 666, 581, 1031, 269, 15181, 887, 7562, 13441, 543, 824, 13441, 22016, 2154, 1697, 2126, 269, 12484, 1302, 1022, 13811, 850, 4496, 949, 581, 4646, 269, 1287, 519, 1547, 568, 15841, 538, 519, 5397, 3296, 540, 513, 4234, 515, 269, 1403, 887, 7562, 22016, 8851, 568, 2838, 1287, 4568, 269, 26184, 569, 1950, 5546, 666, 581, 838, 684, 936, 4672, 3029, 563, 1492, 4496, 568, 1287, 8032, 607, 519, 1907, 593, 519, 4234, 515, 2046, 525, 1996, 519, 12699, 2627, 16550, 621, 547, 1253, 677, 607, 621, 30809, 269, 12182, 18343, 1184, 3322, 18343, 513, 4062, 540, 4496, 593, 513, 4234, 515, 543, 609, 1164, 3002, 689, 513, 23290, 519, 4496, 568, 12699, 269, 20668, 666, 1287, 581, 8032, 610, 8405, 539, 1524, 547, 513, 4130, 8006, 609, 2370, 3196, 25116, 269, 13088, 634, 2596, 1688, 4496, 18343, 1907, 568, 1572, 513, 22635, 269, 1975, 15619, 2645, 666, 581, 1500, 540, 2182, 2989, 5374, 585, 1210, 609, 26459, 610, 4396, 21567, 585, 18343, 16243, 5374, 610, 7646, 5374, 269, 901, 6971, 11508, 543, 8022, 540, 519, 1907, 269, 1740, 12328, 568, 834, 4944, 684, 593, 2011, 2668, 3246, 513, 15774, 13105, 269, 1403, 519, 9096, 610, 1106, 616, 2565, 1287, 606, 552, 764, 550, 29182, 15841, 8260, 7758, 568, 1031, 269, 2368, 4496, 18343, 2645, 616, 4847, 547, 8095, 593, 26971, 1282, 519, 8108, 1184, 269, 740, 554, 665, 269, 1547, 610, 1561, 14876, 264, 666, 581, 1031, 547, 1198, 9867, 2164, 269, 14178, 1907, 1272, 543, 5355, 2627, 9096, 269, 15585, 908, 2645, 616, 4122, 1031, 1282, 18981, 4496, 18343, 4238, 269, 4495, 12699, 269, 1498, 1082, 824, 2645, 630, 2041, 789, 20749, 3812, 269, 15585, 908, 2645, 949, 849, 581, 22862, 609, 6094, 4670, 540, 17375, 547, 10804, 1907, 1272, 269, 1100, 8260, 7758, 568, 1031, 563, 24119, 2056, 593, 519, 5497, 946, 269, 5068, 269, 24305, 619, 4268, 538, 8006, 543, 11098, 269, 29743, 610, 1907, 5374, 2759, 11325, 2645, 616, 1031, 269, 5066, 619, 15841, 593, 519, 1439, 540, 682, 951, 616, 3622, 1031, 547, 1106, 519, 1570, 1524, 547, 519, 8260, 7758, 538, 1312, 1688, 18343, 543, 18981, 4496, 18343, 269, 1419, 2944, 676, 1688, 269, 693, 1447, 1942, 982, 824, 4496, 8108, 2553, 269, 31527, 268, 14127, 543, 16826, 532, 3622, 723, 513, 2362, 6378, 1942, 269, 855, 513, 2539, 4756, 1942, 982, 4496, 18343, 269, 9453, 694, 4461, 269, 519, 25182, 5066, 619, 666, 581, 1031, 547, 1106, 4130, 2234, 4512, 269, 1280, 1383, 281, 1085, 18866, 13688, 269, 634, 8260, 7758, 1281, 711, 1651, 584, 7050, 4229, 269, 1306, 12227, 585, 5010, 3156, 814, 4824, 269, 1419, 3723, 1279, 17860, 13063, 609, 1907, 5374, 8032, 270, 3333, 17369, 2989, 6119, 7923, 269, 543, 3404, 344, 659, 25485, 2940, 13688, 269, 568, 3362, 12747, 543, 606, 2500, 2504, 1505, 585, 30384, 607, 1134, 607, 1164, 7274, 2504, 8255, 269, 1975, 514, 8108, 269, 2694, 616, 1373, 838, 684, 609, 23198, 2326, 538, 4430, 540, 476, 272, 257, 5394, 5374, 269, 621, 1590, 581, 22696, 5529, 269, 607, 1336, 538, 824, 4496, 11529, 3157, 269, 634, 9962, 519, 16945, 519, 23704, 519, 2627, 540, 519, 18343, 269, 27014, 666, 581, 3710, 1210, 835, 4062, 540, 1570, 547, 3132, 2694, 1510, 694, 4461, 269, 610, 4672, 269, 1280, 3101, 610, 5641, 902, 723, 513, 2362, 6378, 1942, 1813, 547, 519, 1804, 3937, 2877, 269, 4033, 2409, 540, 8108, 5180, 4496, 2694, 1331, 8652, 268, 14127, 269, 2910, 273, 7047, 5090, 2471, 269, 4467, 14293, 569, 269, 4813, 532, 6724, 543, 851, 9511, 666, 581, 12012, 3533, 269, 1547, 519, 8260, 7758, 568, 2356, 1500, 540, 4496, 269, 15484, 532, 543, 2504, 3790, 616, 849, 26483, 1970, 269, 855, 3622, 513, 2539, 4756, 1942, 269, 865, 621, 666, 581, 1500, 689, 3574, 269, 22436, 1299, 11393, 11153, 4238, 666, 581, 5340, 538, 835, 1305, 5346, 269, 769, 18981, 3156, 269, 2290, 19319, 540, 4496, 18343, 568, 602, 952, 513, 11523, 3029, 610, 519, 1843, 568, 546, 5034, 269, 1280, 2182, 2326, 610, 1164, 4320, 946, 269, 4518, 4773, 949, 723, 556, 268, 550, 7949, 12632, 543, 519, 9043, 538, 6935, 547, 519, 4099, 1899, 12303, 19727, 24071, 269, 1230, 14846, 18343, 849, 22837, 513, 14320, 4130, 2179, 540, 1570, 982, 824, 2409, 269, 16826, 532, 543, 585, 3101, 610, 16213, 269, 28981, 540, 519, 4496, 568, 2944, 676, 1688 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 676, 938, 17096, 1673, 564, 1254, 3301, 269, 1703, 568, 1100, 7934, 1141, 17096, 1223, 25837, 538, 19403, 811, 454, 12552, 547, 938, 1863, 26941, 267, 972, 568, 1100, 1259, 585, 596, 547, 581, 5667, 15384, 30829, 269, 1284, 786, 960, 593, 707, 1957, 2394, 596, 616, 4625, 6126, 609, 519, 1267, 19403, 811, 454, 7312, 4757, 568, 2922, 267, 607, 649, 4558, 621, 2687, 547, 3486, 1239, 4027, 3652, 269, 2659, 4871, 3877, 616, 5150, 267, 607, 649, 946, 1152, 6325, 8569, 1949, 19403, 811, 454, 3528, 11488, 721, 707, 2724, 267, 596, 4444, 519, 3028, 649, 1683, 269, 6744, 856, 938, 2474, 543, 2175, 952, 596, 4782, 1870, 12909, 547, 581, 9788, 856, 538, 4013, 1893, 19403, 811 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13076, 609, 1367, 1072, 2115, 543, 7687, 269, 898, 568, 1898, 585, 2043, 547, 3251, 5483, 267, 3343, 5583, 689, 2564, 4648, 267, 543, 1935, 1007, 6915, 327, 22326, 2409, 609, 13657, 547, 7413, 1761, 4220, 563, 16665, 5303, 16301, 454, 268, 18726, 7177, 454, 268, 18789, 10334, 454, 268, 15536, 333, 2045, 28389, 906, 454, 268, 10829, 1881, 8682, 0, 2005, 779, 1100, 5728, 602, 16028, 568, 606, 14156, 9901, 1995, 269, 769, 1249, 267, 621, 779, 835, 540, 519, 1034, 1455, 3123, 585, 3656, 9668, 538, 519, 2136, 2276, 269, 18641, 267, 513, 1126, 814, 519, 1318, 547, 3717, 585, 2933, 538, 519, 10470, 267, 543, 519, 10470, 723, 519, 1318, 547, 1118, 3664, 827, 741, 26692, 1759, 593, 741, 1367, 2115, 543, 4690, 269, 1809, 875, 2025, 1281, 513, 1126, 723, 547, 581, 538, 1931, 547, 1118, 713, 3375, 888, 2252, 707, 1126, 568, 896, 519, 2085, 540, 27552, 267, 596, 666, 1406, 3442, 585, 1864, 610, 1200, 945, 646, 610, 1352, 786, 2661, 609, 269, 1717, 267, 713, 3085, 1406, 1611, 596, 666, 1406, 2119, 547, 8207, 713, 3390, 593, 707, 1378, 563, 5715, 10005, 779, 1126, 26692, 4031, 616, 2966, 547, 2149, 519, 1655, 1719, 540, 1453, 269, 634, 1876, 3340, 602, 519, 5480, 3313, 799, 2385, 568, 1732, 14018, 547, 6318, 513, 1126, 269, 901, 666, 581, 513, 1279, 543, 2352, 1184, 269, 769, 1840, 547, 12570, 519, 1072, 540, 782, 6105, 267, 519, 5480, 786, 849, 2015, 519, 16858, 540, 519, 1126, 543, 1010, 610, 1200, 3237, 563, 4407, 711, 4481, 7150, 538, 519, 4031, 267, 621, 779, 4502, 15663, 602, 519, 10470, 616, 2693, 547, 2015, 519, 1126, 779, 16858, 952, 646, 610, 1352, 568, 693, 2547, 476, 1691, 1296, 2025, 269, 30271, 949, 849, 3651, 513, 13931, 1514, 11832, 547, 3717, 547, 519, 1126, 563, 4263, 2547, 835, 1533, 267, 17857, 267, 2636, 519, 5480, 547, 5967, 519, 1126, 547, 3313, 1010, 610, 1200, 16858, 269, 589, 1867, 666, 581, 2854, 676, 519, 5480, 547, 1683, 1344, 827, 519, 1126, 779, 16858, 269, 2368, 2829, 1256, 1450, 519, 3237, 547, 1224, 519, 13973, 547, 6430, 585, 2933, 563, 2691, 6236, 513, 16028, 538, 11882, 267, 1082, 1004, 4898, 1018, 2085, 568, 519, 1318, 2085, 585, 513, 1126, 547, 1118, 513, 3375, 827, 799, 2385, 547, 2661, 609, 269, 901, 2243, 568, 1271, 1317, 519, 1876, 1281, 711, 723, 513, 6378, 2085, 269, 1717, 267, 972, 616, 930, 2188, 602, 666, 581, 2808, 563, 763, 5480, 949, 2154, 513, 1126, 547, 581, 26906, 676, 513, 9794, 610, 824, 3318, 269, 4438, 519, 5967, 267, 519, 1126, 949, 581, 4280, 2055, 1644, 547, 1010, 610, 1200, 6197, 563, 288, 5480, 27680, 786, 2594, 713, 5967, 543, 946, 621, 1282, 513, 26692, 4693, 269, 4635, 713, 1344, 267, 519, 5480, 786, 3313, 799, 2385, 786, 723, 2101, 3375, 6194, 7060, 563, 1103, 2489, 267, 519, 2085, 585, 513, 1126, 547, 1118, 513, 8797, 3375, 568, 12341, 538, 519, 2039, 540, 476, 279, 547, 476, 1321, 269, 15394, 267, 519, 1126, 779, 16858, 616, 2808, 607, 835, 540, 1896, 2188, 602, 519, 5480, 5654, 693, 950, 1818, 513, 3375, 827, 1126, 26692, 563, 2691, 513, 1126, 10301, 519, 2085, 540, 27552, 610, 4587, 267, 789, 723, 513, 1318, 547, 6430, 799, 2385, 789, 786, 2661, 609, 269, 901, 568, 1572, 31414, 269, 589, 9794, 786, 1118, 513, 3803, 26692, 3375, 1310, 6236, 519, 1126, 779, 16858, 269, 15380, 267, 16488, 4782, 547, 2285, 519, 1126, 4745, 3656, 26692, 563, 1103, 8159, 945, 1058, 723, 26692, 540, 741, 1126, 267, 519, 5480, 786, 2015, 1896, 2188, 267, 971, 607, 519, 1126, 779, 15657, 267, 543, 519, 3237, 685, 18515, 547, 28111, 269, 634, 9794, 949, 849, 946, 513, 27152, 3815, 585, 6469, 5208, 547, 1118, 513, 8990, 563, 297, 2002, 3656, 26692, 568, 513, 9053, 11460, 538, 17857, 269, 898, 1797, 602, 1312, 3237, 723, 3160, 2924, 547, 1118, 3664, 585, 741, 1453, 269, 30003, 15970, 942, 16131, 1331, 20367, 32300, 543, 6905, 11564, 1282, 1153, 9397, 563, 306, 1961, 3656, 26692, 267, 593, 519, 824, 1688, 267, 568, 950, 835, 2385, 568, 519, 6852, 3656, 8169, 617, 1014, 269, 901, 1281, 711, 1611, 602, 519, 824, 2385, 814, 1447, 1569, 547, 1344, 593, 519, 1126, 779, 1072, 610, 2069, 563, 2691, 666, 513, 1126, 3717, 585, 2933, 538, 5480, 888, 2005, 568, 513, 1434, 2856, 547, 917, 950, 513, 1126, 666, 3717, 585, 2933, 538, 5480, 269, 6884, 267, 3237, 10990, 593, 6927, 971, 607, 1471, 2787, 267, 1126, 1489, 267, 543, 26692, 269, 901, 666, 581, 17173, 543, 2014, 11991, 16203, 585, 519, 1126, 269, 634, 10470, 1419, 2119, 547, 1832, 1453, 856, 540, 891, 13882, 269, 1717, 267, 3006, 621, 568, 2556, 585, 873, 547, 581, 3238, 538, 513, 2013, 563, 4407, 513, 1126, 949, 581, 2025, 2614, 547, 6430, 593, 741, 1378, 267, 16488, 616, 6297, 547, 5531, 1344, 1510, 31362, 519, 1126, 269, 1358, 786, 2356, 5967, 519, 1126, 538, 1931, 547, 1205, 1010, 610, 1200, 6644, 269, 1403, 513, 1126, 568, 936, 519, 2085, 540, 27552, 267, 646, 610, 1352, 786, 581, 4847, 547, 2232, 519, 5480, 563, 14399, 896, 519, 2085, 540, 476, 1691, 666, 1152, 2232, 519, 5480, 952, 789, 1745, 621, 568, 538, 741, 1655, 1719, 269, 769, 930, 2829, 267, 519, 3237, 685, 27192, 616, 4847, 547, 7390, 519, 5870, 855, 711, 519, 1126, 269, 1323, 12912, 1268, 786, 1287, 1020, 513, 1867, 585, 519, 5480, 269, 1452, 5359, 616, 1031, 547, 3313, 519, 1126, 779, 7375, 269, 0, 303, 23035, 513, 26640, 12942, 281, 1215, 7043, 6496, 898, 6875, 543, 1879, 9701, 1411, 11910, 2659, 16362, 888, 298, 573, 2284, 10007, 616, 4396, 13999, 602, 1106, 950, 6464, 543, 6886, 538, 707, 10729, 2182, 523, 883, 513, 12627, 269, 1452, 6464, 543, 6886, 267, 971, 607, 7513, 543, 579, 878, 3679, 267, 616, 2141, 1459, 693, 1970, 2157, 269, 21418, 2356, 4991, 1166, 19813, 856, 609, 707, 10729, 269, 769, 930, 2665, 267, 2705, 267, 596, 723, 1932, 1454, 540, 873, 543, 8459, 10007, 666, 1106, 563, 24314, 9137, 11905, 28946, 1080, 281, 2657, 1467, 2073, 4179, 2517, 4178, 269, 8234, 1467, 2593, 13045, 20684, 18838, 1635, 281, 18238, 320, 670, 619, 327, 454, 24314, 9137, 17397, 593, 281, 4728, 476, 3066, 267, 476, 1001, 280, 454, 29791, 547, 22731, 9137, 281, 4179, 2517, 4178, 269, 8234, 1467, 2593, 270, 8234, 31574, 573, 2284, 268, 8234, 270, 6011, 17489, 3562, 1790, 817, 10275, 573, 2284, 3613, 821, 0, 1692, 1677, 12338, 589, 1290, 22683, 670, 15736, 25529, 454, 29493, 1154, 513, 12432, 19735, 6529, 3340, 8856, 543, 1416, 547, 2327, 519, 6529, 568, 5265, 7059, 543, 6198, 269, 3371, 616, 2947, 1898, 5013, 547, 1832, 538, 2247, 950, 5969, 513, 12432, 19735, 6529, 912, 272, 269, 2422, 519, 1318, 2645, 281, 1677, 2759, 513, 12432, 19735, 6529, 267, 596, 786, 991, 513, 554, 2931, 1177, 609, 513, 5386, 3562, 582, 1117, 16405, 610, 513, 1379, 4718, 609, 513, 14776, 18396, 730, 16405, 4481, 2966, 585, 5969, 3327, 6775, 269, 4635, 519, 4636, 2645, 666, 3441, 519, 6529, 543, 14207, 922, 8699, 563, 273, 269, 12763, 7466, 267, 2759, 2899, 281, 6969, 1818, 1022, 11912, 267, 5402, 2268, 519, 6529, 547, 3313, 519, 5551, 3259, 269, 898, 779, 2629, 547, 1118, 4977, 7403, 547, 2057, 5969, 1932, 1454, 1055, 519, 6529, 267, 607, 972, 568, 1100, 1259, 547, 1039, 1570, 1394, 2899, 621, 779, 1044, 6569, 563, 274, 269, 4460, 519, 2759, 281, 4495, 596, 4076, 5462, 519, 5551, 3259, 267, 946, 513, 15262, 610, 11746, 547, 5693, 1665, 519, 5544, 1141, 596, 786, 1118, 519, 2759, 269, 901, 786, 948, 2327, 513, 2786, 543, 5730, 2759, 563, 275, 269, 12338, 7444, 543, 20406, 281, 1879, 5969, 513, 12432, 19735, 6529, 267, 621, 779, 1271, 547, 979, 3500, 543, 11931, 547, 2061, 1022, 1761, 10943, 5793, 532, 610, 535, 2001, 532, 540, 519, 6529, 779, 2627, 269, 16792, 1932, 1454, 3196, 610, 5969, 1932, 3533, 666, 1291, 547, 606, 19514, 2759, 543, 14020, 519, 6529, 563, 276, 269, 11162, 909, 519, 8728, 281, 2991, 1818, 519, 2759, 267, 946, 5070, 17549, 610, 513, 3758, 547, 5347, 856, 1022, 11315, 8728, 269, 901, 786, 2061, 1022, 8325, 610, 795, 698, 3022, 2127, 602, 1223, 5732, 2014, 5945, 1282, 29863, 563, 11902, 17988, 827, 5969, 513, 12432, 19735, 6529, 912, 272, 269, 2052, 594, 2759, 1022, 3259, 1055, 513, 12432, 19735, 6529, 888, 2005, 779, 3622, 5227, 547, 1152, 2759, 513, 1507, 6712, 1055, 519, 12765, 1439, 540, 513, 12432, 19735, 6529, 267, 607, 5969, 1932, 1454, 1055, 666, 1860, 519, 6529, 779, 4827, 543, 2773, 563, 273, 269, 1684, 594, 991, 547, 4894, 519, 16405, 1354, 5969, 519, 6529, 888, 5591, 267, 596, 798, 711, 991, 547, 4894, 519, 16405, 269, 28981, 519, 14788, 540, 519, 19735, 6529, 1058, 711, 1764, 519, 16405, 538, 1022, 1259, 563, 274, 269, 1548, 952, 594, 18417, 2759, 1932, 1454, 1055, 519, 6529, 888, 2252, 596, 18417, 2759, 1932, 1454, 1055, 519, 6529, 267, 19890, 267, 972, 568, 1100, 1259, 547, 1039, 519, 1570, 1394, 269, 898, 779, 1271, 547, 2268, 543, 5595, 27902, 1354, 1818, 1022, 11912, 563, 275, 269, 2052, 594, 946, 513, 2834, 4718, 610, 17180, 547, 2759, 519, 6529, 888, 2005, 779, 711, 5227, 547, 946, 513, 2834, 4718, 610, 17180, 547, 2759, 513, 12432, 19735, 6529, 267, 607, 621, 949, 3441, 519, 6529, 543, 14207, 922, 8699, 269, 25529, 547, 1210, 554, 2931, 9155, 609, 5386, 3562, 582, 1117, 19059, 610, 1379, 4718, 338, 609, 14776, 18396, 730, 19059, 2966, 585, 5969, 3327, 6775, 563, 276, 269, 2052, 594, 5070, 610, 3758, 519, 6529, 1524, 547, 1118, 621, 10156, 888, 5591, 267, 5070, 532, 610, 25937, 519, 12432, 19735, 6529, 786, 14207, 922, 7293, 8699, 269, 898, 779, 2629, 547, 1118, 5730, 11912, 2864, 982, 12394, 547, 2110, 523, 519, 6529, 998, 824, 1797, 563, 277, 269, 1772, 621, 2009, 547, 2759, 513, 12432, 19735, 6529, 1510, 1022, 2027, 2645, 888, 4407, 621, 779, 20248, 2009, 547, 2759, 513, 12432, 19735, 6529, 1510, 2027, 2645, 267, 621, 568, 711, 5227, 269, 7981, 1242, 2645, 971, 607, 554, 2931, 9155, 609, 5386, 3562, 582, 1117, 19059, 610, 1379, 4718, 338, 609, 14776, 18396, 730, 19059, 616, 2966, 547, 7413, 3441, 547, 519, 6529, 779, 2497, 563, 278, 269, 3657, 972, 1022, 4220, 2404, 609, 5969, 513, 12432, 19735, 6529, 888, 2467, 568, 2141, 513, 1981, 540, 14124, 519, 6529, 952, 1697, 1416, 543, 8856, 616, 711, 3144, 1247, 5969, 269, 3958, 267, 11315, 8728, 2451, 1310, 5969, 666, 5732, 3614, 675, 5716, 269, 4475, 267, 621, 779, 1271, 547, 1246, 519, 5227, 3268, 543, 946, 519, 1318, 2645, 563, 29493, 1154, 513, 12432, 19735, 6529, 3340, 519, 1318, 2645, 267, 6297, 7403, 267, 543, 513, 11931, 1688, 269, 898, 779, 2629, 547, 1246, 519, 5227, 3268, 543, 946, 519, 3617, 2645, 547, 2057, 14124, 519, 6529, 779, 2497, 269, 5457, 547, 2268, 7466, 267, 2759, 2899, 267, 543, 5347, 856, 1022, 11315, 8728, 1310, 1818, 519, 2759, 585, 513, 5265, 7059, 543, 6198, 12432, 19735, 6529, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19425, 2801, 1108, 13538, 666, 948, 10625, 1686, 538, 5177, 15912, 281, 22884, 267, 1686, 267, 15321, 1143, 267, 24921, 25703, 267, 4279, 6628, 267, 5177, 454, 12867, 685, 2487, 21533, 602, 513, 1560, 1279, 6456, 896, 513, 18513, 18736, 2603, 568, 3751, 9400, 8633, 786, 1100, 8969, 13489, 1719, 538, 3703, 22884, 2443, 607, 621, 1058, 269, 2755, 2473, 2760, 7436, 519, 5544, 543, 596, 2461, 12691, 547, 796, 24160, 606, 3768, 4593, 2642, 4622, 267, 6628, 779, 1279, 1686, 1797, 602, 3592, 9170, 596, 2030, 513, 15524, 767, 267, 972, 779, 1686, 547, 581, 1336, 563, 5804, 11635, 6520, 585, 1206, 547, 16972, 10651, 267, 7366, 540, 15456, 2007, 338, 616, 8345, 538, 6628, 693, 1022, 2016, 942, 1107, 543, 1082, 540, 873, 10950, 15321, 2007, 7970, 547, 948, 10625, 519, 2250, 269, 5502, 540, 1175, 9683, 6628, 779, 3504, 13039, 267, 14252, 543, 6149, 10580, 267, 596, 1223, 581, 851, 540, 519, 6887, 602, 616, 12423, 1007, 4609, 543, 13742, 1169, 1554, 269, 3807, 1205, 4712, 585, 513, 2370, 2182, 960, 19601, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 2048, 11386, 1590, 711, 581, 2451, 547, 524, 16428, 1686, 685, 1107, 9504, 13653, 454, 268, 634, 1034, 1271, 6370, 596, 4312, 4440, 2760, 4862, 540, 454, 268, 4959, 3041, 568, 21006, 1312, 1744, 807, 543, 6129, 14269, 695, 21218, 543, 5656, 538, 17018, 592, 454, 268, 5530, 281, 15329, 550, 9097, 1143, 538, 5177, 3884, 1405, 2404, 609, 6710, 454, 268, 12164, 293, 7644, 300, 3633, 281, 519, 1744, 9068, 540, 13744, 1695, 19072, 657, 4302, 540, 962, 684, 639, 630, 301, 710, 557, 327, 267, 17018, 592, 267, 12925, 264, 814, 1044, 10032, 454, 268, 1773, 698, 14705, 23215, 1023, 7523, 648, 2560, 855, 1100, 4539, 888, 268, 15537, 28137, 729, 2899, 2808, 513, 1283, 6576, 14787, 269, 3767, 646, 32245, 9642, 23640, 540, 32157, 30922, 563, 268, 16024, 1014, 945, 7125, 13032, 261, 260, 259, 287, 593, 5147, 476, 275, 628, 31959, 3123, 15784, 454, 268, 901, 568, 1018, 12592, 1686, 1053, 538, 1164, 1153, 543, 1647, 1153, 666, 798, 2336, 268, 15525, 547, 8366, 2817, 28299, 2405, 1023, 547, 476, 274, 12206, 0, 309, 523, 639, 22014, 1877, 18323, 543, 16242, 4515, 3796, 4537, 1228, 10326, 8212, 454, 9743, 6817, 476, 6860, 4924, 476, 1220, 272, 910, 26257, 9337, 476, 2767, 7325, 476, 1001, 275, 563, 288, 2689, 518, 540, 519, 2376, 630, 14813, 1663, 27833, 476, 4489, 279, 267, 589, 19026, 17583, 24047, 7150, 602, 14798, 8290, 616, 2966, 547, 1332, 693, 476, 4391, 5232, 595, 630, 290, 16364, 264, 1496, 7176, 269, 277, 5232, 674, 630, 293, 16366, 13580, 543, 547, 21613, 1210, 27899, 1591, 11476, 543, 602, 513, 1279, 1974, 540, 3984, 543, 19800, 1071, 17272, 1828, 568, 2838, 563, 763, 1739, 11708, 616, 3177, 607, 513, 1101, 1900, 538, 10992, 909, 593, 2436, 610, 711, 513, 5078, 2837, 267, 2604, 267, 543, 26947, 7874, 1604, 585, 519, 2504, 610, 18643, 540, 8290, 6818, 538, 519, 19026, 1014, 5790, 563, 4322, 1101, 1079, 11708, 630, 29592, 1250, 23937, 543, 24909, 1070, 941, 8385, 3370, 676, 808, 8160, 269, 23514, 9469, 267, 623, 269, 717, 269, 6008, 742, 525, 267, 667, 10422, 269, 670, 8657, 267, 808, 6185, 269, 3828, 1157, 523, 267, 543, 717, 11482, 269, 14977, 2401, 538, 741, 2376, 267, 15571, 12769, 738, 566, 5525, 540, 519, 19026, 22014, 1877, 609, 519, 7395, 749, 534, 6611, 8154, 267, 594, 8364, 639, 267, 5292, 269, 476, 8099, 267, 476, 8064, 268, 11463, 267, 476, 1960, 275, 269, 630, 763, 2186, 10479, 547, 946, 519, 11708, 1281, 711, 13822, 23596, 618, 540, 519, 8367, 896, 6268, 538, 713, 2376, 4700, 6423, 281, 4033, 18323, 543, 16242, 4515, 3796, 269, 1496, 12552, 547, 519, 8436, 689, 717, 1440, 338, 623, 2317, 267, 26527, 30773, 267, 3127, 543, 4787, 2643, 690, 545, 5125, 717, 3387, 327, 585, 4466, 602, 713, 3095, 2877, 21130, 269, 476, 278, 9947, 476, 1001, 274, 2639, 763, 7150, 476, 4391, 5232, 595, 630, 6518, 568, 519, 3328, 1480, 1560, 2837, 1991, 547, 10194, 4323, 264, 14687, 547, 476, 20542, 22398, 9109, 630, 298, 264, 630, 290, 16364, 10917, 7132, 476, 24129, 1040, 1403, 649, 4283, 519, 19026, 15820, 268, 951, 639, 27529, 3113, 693, 476, 20542, 918, 543, 979, 2786, 909, 630, 1042, 1899, 264, 547, 519, 2837, 9043, 267, 543, 1287, 23276, 547, 519, 2451, 7852, 649, 1265, 513, 7222, 15820, 540, 476, 7367, 269, 276, 12919, 630, 3451, 5195, 1916, 3086, 267, 607, 513, 11315, 3444, 27902, 267, 649, 4283, 519, 19026, 15820, 268, 951, 639, 27408, 4380, 8879, 454, 12304, 675, 3113, 693, 476, 1911, 271, 1984, 756, 1513, 630, 1492, 3047, 781, 454, 320, 2071, 4262, 1377, 11626, 454, 12304, 675, 264, 543, 979, 909, 547, 12969, 519, 15820, 25774, 9043, 1899, 267, 543, 454, 659, 1484, 547, 519, 2451, 7852, 1141, 649, 1265, 519, 7222, 15820, 540, 454, 5392, 269, 276, 12919, 630, 4029, 5195, 1040, 901, 15820, 568, 1152, 1614, 12919, 454, 263, 528, 3670, 2600, 264, 1114, 982, 649, 1336, 689, 519, 2837, 3113, 563, 3383, 267, 538, 19220, 540, 519, 2627, 2837, 540, 19026, 1373, 593, 519, 1931, 540, 476, 279, 5038, 5232, 18278, 267, 972, 568, 513, 3148, 538, 519, 19026, 1014, 5790, 799, 4114, 23660, 602, 540, 3047, 609, 2463, 547, 2837, 543, 2604, 269, 1809, 972, 949, 581, 2042, 563, 7367, 269, 276, 12919, 1657, 519, 19026, 1014, 2627, 7140, 856, 547, 581, 538, 519, 1647, 540, 519, 19026, 1014, 6531, 24120, 799, 568, 1500, 909, 7361, 540, 16247, 545, 3679, 20256, 269, 630, 763, 6531, 4420, 1682, 616, 6059, 547, 581, 476, 1789, 547, 476, 3374, 5998, 1657, 519, 2627, 543, 519, 25568, 616, 6059, 547, 581, 689, 476, 2568, 547, 476, 4037, 5998, 1657, 519, 19026, 1014, 2627, 4700, 901, 5580, 15820, 3970, 568, 5310, 513, 27967, 7447, 269, 634, 6531, 25568, 2837, 814, 1044, 4080, 547, 581, 476, 18605, 918, 11196, 1724, 5232, 595, 610, 476, 280, 5232, 674, 1040, 4340, 547, 519, 2837, 9043, 1657, 630, 13582, 1899, 264, 713, 2837, 14687, 547, 606, 15820, 540, 476, 6812, 5998, 630, 3607, 5195, 264, 585, 519, 6531, 25568, 269, 630, 2690, 1193, 9850, 12269, 972, 786, 581, 8143, 11466, 1063, 519, 5790, 543, 519, 6531, 25568, 8094, 3674, 713, 15755, 6531, 1604, 1434, 610, 3983, 585, 519, 5250, 540, 10194, 840, 15479, 832, 543, 5924, 3644, 2679, 3157, 286, 630, 320, 264, 1684, 16247, 545, 3679, 630, 295, 273, 12569, 275, 264, 20256, 538, 513, 4227, 5790, 4217, 610, 840, 2850, 519, 5250, 610, 11091, 540, 11254, 7408, 543, 824, 10717, 2679, 7161, 286, 630, 321, 264, 2052, 6190, 3859, 22292, 1648, 23309, 519, 12269, 547, 713, 3178, 286, 1403, 2901, 2626, 568, 5739, 547, 519, 8367, 1287, 649, 666, 2307, 2436, 610, 711, 519, 19026, 1014, 5790, 1657, 519, 12269, 267, 2161, 476, 2568, 5998, 630, 4391, 5195, 264, 543, 909, 267, 1223, 581, 630, 528, 711, 581, 264, 513, 11134, 3148, 585, 519, 6211, 3157, 538, 2243, 269, 634, 3668, 540, 6190, 22292, 21774, 786, 711, 581, 513, 1966, 1657, 519, 12269, 269, 1924, 267, 1018, 616, 519, 9803, 2837, 543, 2604, 10148, 585, 10257, 6211, 2534, 888, 5194, 3815, 602, 1590, 581, 18808, 609, 568, 2436, 610, 711, 519, 19026, 1014, 5790, 2282, 519, 6531, 25568, 3568, 519, 3114, 2609, 630, 514, 6190, 844, 520, 885, 264, 2838, 547, 1628, 10717, 6675, 607, 1134, 607, 741, 10408, 630, 321, 17424, 264, 14747, 286, 634, 4681, 689, 513, 3406, 585, 713, 1344, 786, 581, 5116, 1934, 563, 2080, 568, 513, 5750, 6029, 2837, 8957, 2604, 585, 519, 19026, 1014, 5790, 269, 898, 568, 6508, 689, 519, 1079, 11708, 1657, 563, 314, 9743, 6817, 593, 476, 1626, 4119, 476, 1001, 272, 24358, 763, 7913, 10656, 476, 3192, 277, 9208, 454, 4263, 4380, 1877, 18185, 729, 1031, 538, 28321, 3047, 781, 3044, 5790, 7455, 563, 1432, 827, 519, 2627, 540, 19026, 286, 0, 306, 699, 526, 760, 640, 1323, 23292, 3069, 454, 8245, 517, 19453, 568, 606, 2278, 267, 19784, 543, 7641, 16073, 267, 2027, 2358, 538, 2257, 543, 9119, 269, 3571, 5767, 1433, 568, 834, 307, 4459, 610, 9615, 286, 20010, 6925, 593, 23632, 2580, 1071, 22052, 23482, 609, 3798, 345, 731, 21321, 560, 267, 519, 1158, 779, 1101, 7548, 540, 14911, 4915, 563, 306, 1495, 599, 476, 866, 5181, 476, 1960, 280, 454, 4407, 693, 519, 14266, 267, 594, 729, 18056, 602, 519, 1835, 11596, 602, 16445, 519, 16264, 5251, 941, 693, 519, 8998, 540, 513, 24526, 7521, 602, 16768, 585, 5756, 269, 634, 4661, 1644, 547, 741, 5169, 269, 21231, 267, 519, 5354, 540, 3744, 11130, 602, 789, 941, 3361, 676, 22747, 267, 855, 972, 941, 849, 1346, 945, 7957, 10696, 513, 3069, 1759, 593, 14368, 924, 5222, 269, 634, 6574, 1966, 585, 519, 18793, 540, 519, 14368, 924, 3069, 729, 602, 519, 14368, 2572, 1131, 723, 13351, 519, 7599, 693, 513, 3099, 540, 7285, 267, 543, 621, 8604, 6654, 602, 513, 14368, 924, 4947, 538, 689, 513, 1970, 5086, 1131, 5352, 606, 24814, 28188, 269, 769, 4334, 267, 782, 519, 9855, 781, 1835, 11596, 616, 9764, 267, 799, 1152, 4667, 2009, 952, 782, 519, 14368, 2572, 8593, 19794, 563, 4913, 267, 2963, 538, 12797, 540, 519, 14368, 924, 3069, 7153, 676, 4960, 689, 519, 10969, 566, 540, 519, 3689, 2622, 2782, 269, 898, 2968, 2312, 602, 15183, 3361, 1835, 11596, 9838, 547, 16264, 1835, 11596, 269, 1280, 1383, 267, 513, 9553, 602, 1011, 10757, 693, 5487, 4425, 529, 16279, 538, 476, 4489, 277, 4646, 513, 28188, 602, 729, 476, 5952, 332, 538, 8006, 543, 476, 1839, 332, 2620, 267, 609, 513, 476, 276, 332, 7381, 28188, 26079, 269, 901, 3366, 19936, 547, 1179, 3634, 602, 14368, 2572, 1185, 5734, 519, 9855, 693, 1164, 3432, 267, 1185, 12617, 2933, 11895, 267, 543, 1287, 267, 7488, 540, 741, 1764, 5086, 267, 789, 1011, 10757, 899, 15183, 267, 2870, 9764, 1835, 11596, 269, 634, 3069, 729, 1152, 9863, 2953, 950, 20691, 941, 2111, 547, 4983, 519, 9855, 781, 2627, 538, 476, 3422, 280, 563, 12552, 547, 21035, 267, 649, 616, 1631, 782, 3222, 540, 875, 14368, 2572, 543, 30563, 711, 1152, 5734, 519, 9855, 267, 855, 849, 5734, 519, 3047, 269, 901, 4832, 267, 519, 4139, 13562, 13929, 5742, 1558, 538, 5695, 514, 543, 3989, 519, 8776, 3626, 4336, 267, 606, 24666, 4528, 540, 519, 6762, 614, 4336, 269, 589, 3122, 6950, 616, 15951, 593, 513, 4336, 689, 4642, 547, 476, 1015, 910, 606, 20503, 12773, 4642, 568, 4625, 20027, 267, 606, 20503, 12773, 2947, 814, 513, 1713, 4960, 540, 18644, 519, 3047, 543, 4929, 513, 6237, 31685, 267, 543, 606, 20503, 12773, 476, 1015, 814, 14022, 3042, 18484, 2854, 782, 936, 621, 267, 1317, 621, 1131, 581, 593, 513, 1463, 1576, 609, 3047, 543, 1804, 2614, 547, 2014, 2518, 10969, 566, 269, 1924, 2484, 267, 1152, 1079, 30563, 723, 10805, 593, 519, 8776, 3626, 4336, 267, 476, 1960, 278, 2473, 293, 1556, 543, 476, 1960, 280, 4888, 1015, 269, 3962, 13713, 20639, 835, 593, 519, 8776, 3626, 4336, 267, 1354, 2417, 2079, 5921, 602, 1312, 1223, 581, 9419, 978, 24612, 547, 4642, 563, 8245, 517, 19453, 568, 519, 2278, 540, 2387, 763, 8943, 3883, 910, 519, 3163, 540, 1530, 920, 1097, 689, 9147, 5527, 547, 17747, 15303, 2762, 3299, 19549, 24529, 267, 6550, 476, 1626, 269, 4200, 454, 3674, 519, 18792, 17581, 1818, 513, 2097, 3724, 286, 1260, 9037, 454, 6635, 1206, 1299, 9980, 338, 21075, 454, 268, 476, 272, 10555, 28037, 9047, 281, 4208, 941, 7982, 547, 519, 8892, 32182, 23545, 539, 888, 268, 476, 273, 10271, 281, 634, 1158, 781, 1034, 30201, 3176, 1004, 454, 268, 476, 274, 634, 5728, 1867, 602, 2337, 5840, 529, 547, 12404, 5013, 454, 268, 476, 275, 17664, 645, 6324, 523, 4666, 281, 9457, 10267, 325, 543, 27973, 853, 1737, 344, 13648, 5182, 267, 10523, 9907, 476, 3393, 454, 268, 476, 276, 30557, 1250, 2666, 281, 1403, 9361, 568, 3983, 585, 707, 1072, 267, 1018, 4523, 950, 596, 3251, 593, 707, 3952, 585, 513, 2898, 3923, 888, 5353, 4038, 28037, 9047, 281, 4208, 941, 7982, 547, 519, 8892, 32182, 23545, 539, 888, 29228, 540, 774, 14772, 4005, 476, 275, 11376, 6016, 556, 601, 30792, 693, 1290, 545, 268, 3519, 476, 1001, 275, 454, 16032, 9413, 593, 28923, 5177, 543, 2475 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 815, 678, 3867, 333, 268, 272, 348, 1422, 7562, 3867, 333, 268, 273, 32710, 12978, 318, 272, 264, 22773, 1422, 7562, 3867, 333, 268, 274, 32710, 12978, 318, 273, 264, 22773, 1422, 26984, 1422, 7562, 7268, 12978, 3709, 333, 268, 273, 16585, 22773, 1743, 22773, 546, 315, 12978, 318, 272, 22773, 1422, 26984, 22773, 546, 315, 12978, 3709, 333, 268, 272, 20467, 2330, 3371, 267, 585, 4399, 12978, 17624, 259, 4422, 689, 1269, 271, 259, 547, 4399, 7032, 259, 585, 1269, 330, 815, 476, 272, 267, 1422, 25854, 267, 562, 268, 273, 8961, 543, 4399, 12978, 3709, 333, 268, 272, 4151, 4422, 689, 1269, 271, 259, 547, 1269, 273, 22773, 1422, 7032, 16859, 7712, 6695, 842, 318, 271, 23373, 7032, 1422, 7562, 317, 330, 1422, 12978, 22773, 546, 315, 12978, 815, 645, 13375, 7268, 2765, 1321, 267, 1422, 2765, 346, 330, 266, 272, 2410, 273, 348, 1422, 2431, 264, 31386, 2765, 346, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 264, 1422, 294, 10397, 13375, 7268, 2765, 346, 330, 266, 272, 2410, 273, 4153, 2431, 264, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 346, 330, 266, 273, 2410, 273, 348, 1422, 2431, 264, 7684, 267, 2330, 1141, 1269, 289, 9638, 267, 336, 7751, 568, 519, 12498, 1599, 267, 649, 1205, 1422, 8218, 9387, 348, 1422, 842, 546, 18898, 309, 17851, 1422, 842, 318, 271, 317, 272, 678, 3867, 333, 268, 272, 348, 22773, 1743, 22773, 1422, 2765, 346, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 264, 1422, 294, 10397, 13375, 7268, 2765, 23533, 268, 272, 2410, 273, 4153, 2431, 264, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 23533, 2410, 273, 348, 1422, 2431, 264, 7684, 1422, 2765, 346, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 264, 1422, 294, 10397, 13375, 7268, 2765, 23533, 268, 273, 2410, 273, 4153, 2431, 264, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 23533, 268, 272, 2410, 273, 348, 1422, 2431, 264, 7684, 1422, 26984, 1422, 2765, 346, 476, 273, 22773, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 264, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 4153, 2431, 264, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 346, 273, 2410, 273, 348, 1422, 2431, 264, 7684, 8607, 17851, 1422, 2765, 346, 273, 2410, 333, 348, 1422, 2765, 346, 1422, 3847, 314, 1422, 294, 10397, 13375, 7268, 2765, 346, 272, 2410, 273, 348, 1422, 2431, 9385, 2431, 316, 317, 333, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 23533, 2410, 273, 348, 1422, 2431, 264, 7684, 815, 1422, 2765, 346, 11513, 6912, 19570, 11892, 333, 7684, 2715, 1422, 294, 10397, 13375, 7268, 2765, 23533, 2410, 273, 348, 1341, 476, 272, 9368, 264, 7684, 269, 1422, 754, 9387, 10926, 5194, 1259, 568, 547, 946, 519, 4542, 585, 519, 22263, 2981, 540, 513, 20085, 1599, 6695, 339, 32499, 535, 17347, 264, 815, 1422, 842, 535, 16868, 264, 22773, 552, 3867, 328, 315, 10400, 737, 1422, 10383, 1422, 10400, 678, 348, 22773, 546, 315, 10400, 678, 815, 1422, 2765, 18950, 273, 19570, 22722, 333, 270, 273, 3686, 2715, 737, 3867, 333, 270, 273, 910, 476, 272, 348, 7684, 1422, 842, 318, 271, 23373, 13727, 535, 16868, 264, 808, 3709, 333, 270, 273, 268, 272, 12917, 330, 20867, 337, 9385, 267, 678, 3867, 333, 270, 273, 348, 22773, 1743, 267, 2330, 1141, 1269, 297, 3709, 333, 270, 273, 268, 272, 12917, 330, 22773, 678, 7751, 568, 519, 29817, 1088, 1599, 780, 1103, 938, 2013, 1269, 325, 16868, 264, 815, 1422, 763, 3279, 263, 272, 8573, 7751, 568, 519, 1900, 1599, 269, 3973, 267, 676, 1210, 519, 24088, 6935, 6695, 2765, 18097, 2410, 11459, 348, 1422, 3847, 314, 678, 17353, 20692, 348, 808, 18155, 20692, 12917, 343, 264, 1422, 2431, 316, 815, 678, 17353, 20692, 348, 808, 18155, 20692, 268, 272, 12917, 343, 1070, 2330, 609, 4399, 20692, 815, 562, 270, 273, 8961, 649, 1205, 6695, 339, 32499, 535, 17347, 264, 815, 1422, 2765, 18950, 273, 19570, 22722, 333, 270, 273, 3686, 2715, 737, 3867, 333, 270, 273, 348, 7684, 808, 3709, 333, 270, 273, 12917, 330, 1040, 2330, 1280, 519, 3970, 540, 1269, 330, 9368, 5535, 476, 271, 8961, 649, 1205, 519, 4320, 6695, 3916, 3709, 330, 1422, 21375, 476, 271, 348, 1422, 339, 32499, 535, 17347, 264, 815, 1422, 2765, 18950, 273, 19570, 22722, 333, 270, 273, 3686, 2715, 737, 3867, 333, 270, 273, 348, 7684, 1422, 2765, 18950, 330, 270, 273, 22722, 333, 270, 273, 24828, 294, 10397, 7268, 2765, 23533, 2410, 273, 15396, 272, 14587, 815, 1422, 2765, 3189, 7032, 3867, 333, 270, 273, 3686, 11513, 294, 10397, 7268, 2765, 23533, 2410, 273, 15396, 272, 14587, 269, 9681, 29002, 547, 1018, 32021, 984, 15576, 345, 5206, 267, 1141, 519, 4320, 540, 519, 1770, 3440, 1269, 289, 3709, 273, 333, 4151, 538, 4399, 13992, 346, 290, 11892, 333, 259, 568, 4399, 7032, 18898, 14672, 256, 8961, 519, 4399, 7032, 18898, 259, 7125, 547, 2247, 519, 4320, 540, 513, 4874, 29171, 1269, 289, 318, 273, 18898, 1422, 11357, 3553, 22570, 13992, 346, 290, 11892, 272, 8203, 333, 815, 1422, 13992, 346, 290, 11892, 333, 8961, 593, 799, 519, 21136, 1895, 1269, 306, 5332, 259, 6411, 676, 7989, 5024, 10974, 269, 634, 32089, 2962, 568, 4320, 25535, 6326, 267, 543, 865, 4399, 7032, 18898, 14672, 256, 259, 568, 6923, 14648, 607, 519, 4320, 540, 519, 10739, 2230, 1269, 289, 318, 273, 18898, 13478, 5332, 10608, 2052, 713, 581, 11214, 1644, 547, 519, 4320, 540, 519, 1269, 333, 27572, 4252, 2496, 4517, 516, 553, 2349, 817, 543, 15537, 590, 2559, 3241, 11273, 909, 971, 606, 7778, 1384, 31628, 332, 281, 630, 7922, 817, 4149, 2559, 3241, 264, 9717, 18159, 345, 318, 272, 267, 1422, 24126, 267, 1990, 5332, 264, 1422, 514, 1422, 13992, 346, 290, 11892, 333, 8961, 2328, 10974, 1269, 345, 19553, 259, 538, 8701, 11282, 1106, 1269, 345, 19553, 815, 678, 19553, 552, 3867, 328, 1422, 9064, 19553, 20954, 543, 5581, 606, 1269, 306, 5332, 27572, 514, 19702, 656, 4786, 4399, 12978, 1422, 3712, 517, 645, 318, 273, 18898, 1422, 1729, 645, 3709, 273, 562, 4151, 676, 1101, 7989, 5024, 519, 1269, 345, 19553, 259, 865, 602, 1269, 337, 318, 272, 1422, 28254, 678, 318, 273, 1422, 28254, 1422, 24126, 1422, 28254, 678, 5332, 259, 543, 1287, 11837, 18159, 345, 318, 272, 267, 1422, 24126, 267, 1990, 5332, 7751, 547, 3230, 7268, 6912, 346, 337, 318, 272, 317, 273, 910, 678, 318, 273, 317, 273, 348, 324, 3867, 328, 24592, 318, 272, 9574, 1422, 6912, 346, 337, 318, 273, 317, 273, 910, 678, 318, 274, 317, 273, 348, 324, 3867, 328, 7268, 9064, 318, 272, 1341, 1422, 9064, 318, 273, 264, 9574, 1422, 24126, 267, 1422, 6912, 346, 337, 3709, 333, 268, 272, 11892, 273, 8573, 5332, 317, 273, 348, 324, 3867, 328, 7268, 9064, 318, 272, 1341, 1422, 9064, 318, 273, 1341, 1422, 24126, 1341, 1422, 9064, 3709, 333, 268, 272, 16585, 9574, 678, 5332, 552, 3867, 328, 7268, 9064, 318, 272, 1341, 1422, 9064, 318, 273, 1341, 1422, 24126, 1341, 1422, 9064, 5332, 14587, 14638, 3973, 4399, 12978, 259, 28901, 513, 6024, 1134, 20452, 4786, 1269, 289, 318, 273, 18898, 13478, 5332, 1422, 1729, 645, 3709, 273, 562, 23201, 5015, 267, 950, 11658, 547, 519, 1305, 1269, 303, 5332, 259, 540, 18159, 345, 318, 272, 267, 1422, 24126, 267, 1990, 5332, 7751, 585, 799, 519, 1269, 337, 19553, 259, 616, 782, 3982, 267, 4399, 12978, 259, 28901, 513, 5347, 1623, 921, 8157, 568, 31532, 11837, 1269, 303, 5332, 13478, 5332, 259, 5196, 519, 1305, 1269, 304, 5332, 259, 540, 18159, 342, 318, 272, 267, 1422, 24126, 267, 530, 5332, 264, 1422, 514, 645, 3709, 273, 562, 4151, 585, 799, 1269, 342, 19553, 1422, 928, 336, 476, 271, 259, 585, 1269, 272, 1422, 19008, 795, 1422, 19008, 562, 268, 272, 16859, 1103, 824, 1913, 267, 1603, 1269, 345, 19553, 815, 1535, 19553, 1341, 1775, 586, 19553, 259, 519, 1623, 921, 8157, 476, 273, 27322, 692, 11377, 8999, 3709, 329, 284, 272, 11892, 333, 546, 1535, 19553, 1422, 342, 8354, 546, 586, 19553, 815, 1422, 8999, 3709, 329, 284, 272, 11892, 333, 678, 19553, 546, 678, 19553, 1422, 342, 8354, 546, 24592, 19553, 9681, 529, 12873, 676, 17444, 1394, 2059, 4399, 12978, 1422, 3712, 517, 623, 5332, 13478, 5332, 1422, 1729, 1627, 5332, 10608, 4595, 1623, 921, 8157, 7851, 616, 12725, 4320, 25535, 6326, 267, 543, 2094, 1269, 303, 5332, 259, 543, 1269, 304, 5332, 259, 616, 3592, 782, 540, 1269, 289, 318, 273, 18898, 259, 543, 1269, 289, 3709, 273, 562, 4151, 6606, 267, 713, 3947, 513, 6169, 602, 519, 4320, 540, 1269, 289, 3709, 273, 562, 4151, 568, 4399, 7032, 18898, 14672, 256, 259, 630, 531, 1181, 622, 547, 3044, 17033, 12985, 15997, 6393, 27270, 1384, 1892, 27055, 553, 2349, 817, 267, 15537, 590, 2559, 3241, 267, 2201, 519, 12531, 540, 11084, 630, 1186, 1916, 1892, 8729, 585, 1857, 1944, 1250, 1957, 609, 19378, 590, 2559, 3241, 269, 634, 1957, 849, 3568, 513, 5594, 12863, 4528, 540, 519, 4786, 267, 8497, 12531, 855, 711, 519, 1623, 921, 8157, 2497, 269, 2755, 19378, 543, 594, 941, 22876, 2858, 3215, 4566, 585, 7586, 4328, 938, 1957, 267, 602, 12863, 4786, 729, 10446, 1336, 676, 744, 3405, 670, 6359, 629, 282, 1294, 834, 763, 4320, 540, 519, 1770, 3440, 538, 1269, 290, 18898, 259, 2437, 589, 1067, 269, 4569, 269, 13600, 569, 13040, 630, 1220, 271, 264, 476, 28796, 269, 630, 2691, 19378, 1336, 713, 1957, 267, 646, 711, 1881, 803, 609, 606, 4757, 602, 3459, 834, 2252, 835, 27185, 2158, 513, 4305, 1279, 2614, 267, 5555, 621, 568, 1100, 3476, 2556, 1701, 264, 1107, 1109, 4517, 516, 553, 2349, 817, 4239, 476, 1789, 1412, 1428, 693, 476, 1015, 281, 3393, 0, 258, 1160, 1324, 7115, 540, 1079, 4632, 538, 513, 4745, 3892, 267, 1210, 19469, 3892, 3252, 692, 296, 723, 1079, 4632, 1269, 311, 259, 543, 1269, 312, 259, 609, 519, 1739, 4745, 2625, 629, 331, 640, 5860, 1599, 692, 2330, 325, 630, 343, 11971, 264, 815, 1422, 8218, 26231, 1162, 348, 1422, 2765, 1691, 630, 272, 266, 15383, 264, 1299, 1422, 3667, 346, 604, 7684, 1923, 343, 347, 2999, 476, 272, 267, 1923, 344, 347, 2999, 476, 272, 11138, 1299, 11138, 476, 271, 1299, 1422, 3667, 346, 1278, 3772, 348, 1422, 754, 26231, 1162, 15732, 763, 1966, 568, 547, 6961, 602, 1269, 311, 259, 543, 1269, 312, 259, 616, 711, 4830, 267, 855, 602, 1269, 311, 317, 273, 259, 543, 1269, 312, 317, 273, 259, 616, 269, 594, 7229, 519, 8589, 5860, 3252, 540, 1312, 1269, 311, 259, 543, 1269, 312, 259, 543, 2094, 741, 1587, 3085, 1405, 3160, 519, 8589, 5860, 1599, 267, 594, 9863, 789, 616, 711, 4830, 780, 4913, 267, 594, 7012, 1405, 2386, 827, 519, 2034, 851, 543, 12649, 519, 3070, 269, 769, 519, 2016, 3070, 267, 7115, 729, 711, 8810, 676, 519, 1739, 780, 2330, 325, 3709, 343, 317, 273, 11971, 317, 273, 348, 630, 340, 267, 341, 264, 815, 535, 3709, 343, 317, 273, 348, 630, 340, 264, 1422, 22487, 25346, 535, 3709, 344, 317, 273, 348, 630, 341, 264, 9681, 21156, 267, 621, 729, 8810, 602, 519, 19469, 3892, 3252, 8858, 713, 3959, 543, 602, 713, 10522, 7115, 780, 2330, 303, 630, 311, 317, 273, 1422, 19008, 579, 1422, 5115, 962, 317, 273, 1422, 19008, 642, 264, 815, 623, 630, 311, 317, 273, 1422, 19008, 579, 264, 1422, 22487, 25346, 623, 630, 312, 317, 273, 1422, 19008, 642, 264, 9681, 296, 7948, 1405, 1265, 1022, 4704, 602, 1767, 713, 22466, 7115, 269, 594, 5156, 971, 29943, 1152, 5249, 609, 519, 5860, 3252, 269, 901, 568, 849, 711, 5018, 593, 519, 28957, 2985, 585, 19469, 3892, 1599, 780, 3383, 267, 594, 6415, 11842, 267, 568, 713, 849, 513, 1259, 547, 6961, 7115, 286, 2052, 594, 946, 713, 4480, 950, 2009, 2496, 8894, 1103, 713, 1880, 3236, 267, 621, 568, 711, 2556, 547, 5173, 519, 8589, 5860, 3252, 543, 1287, 2638, 2436, 1269, 325, 3709, 311, 267, 312, 12917, 343, 11971, 7751, 11224, 1269, 325, 318, 311, 3287, 264, 325, 318, 312, 12169, 7751, 538, 1931, 547, 13182, 1875, 23949, 11163, 269, 4595, 1269, 325, 3287, 11971, 7751, 1281, 711, 3815, 883, 1269, 326, 3287, 264, 327, 12169, 7751, 630, 3602, 1269, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 875, 1082, 1114, 2081, 666, 581, 519, 5022, 538, 519, 2262, 8121, 305, 3198, 12283, 581, 11231, 563, 2467, 616, 476, 278, 5022, 538, 519, 2262, 8121, 305, 3198, 12283, 269, 2986, 891, 972, 616, 1079, 8320, 540, 589, 269, 1079, 8320, 540, 681, 543, 835, 3236, 1142, 540, 715, 267, 717, 543, 661, 269, 634, 1297, 540, 2081, 538, 799, 891, 5022, 666, 581, 22198, 6548, 568, 25464, 303, 263, 278, 267, 278, 4297, 14370, 273, 256, 265, 273, 14386, 319, 454, 763, 5022, 538, 519, 2262, 8121, 305, 3198, 12283, 666, 581, 11231, 538, 476, 14695, 271, 1114, 2081, 269, 0, 8702, 547, 519, 24295, 15610, 540, 623, 7701, 8232, 563, 2005, 2636, 547, 2744, 6552, 1569, 547, 519, 4299, 2780, 563, 2005, 1281, 711, 3262, 8850, 1210, 922, 1378, 1797, 563, 347, 5575, 9571, 593, 10573, 18550, 476, 3066, 267, 476, 1001, 271, 2008, 347, 19547, 1254, 8242, 593, 10573, 18550, 476, 3066, 267, 476, 1001, 271, 2008, 7644, 290, 289, 582, 5861, 309, 312, 568, 513, 1394, 21830, 602, 2636, 21190, 547, 2744, 6552, 1569, 547, 519, 4299, 2780, 538, 1931, 547, 4163, 856, 3527, 602, 14207, 3593, 22637, 543, 15641, 324, 519, 4247, 5340, 593, 519, 2780, 563, 7644, 290, 289, 582, 5861, 309, 312, 1281, 711, 3262, 8850, 1210, 922, 1378, 1797, 269, 898, 2115, 606, 22215, 3593, 781, 6304, 538, 1931, 547, 3914, 519, 4299, 2780, 269, 634, 1797, 540, 6771, 1031, 1331, 267, 1851, 1866, 267, 1166, 641, 6853, 28283, 267, 7131, 268, 15375, 338, 267, 4757, 6835, 609, 7923, 6119, 267, 5769, 28085, 267, 674, 9143, 267, 594, 13612, 9055, 267, 9263, 3562, 24406, 518, 630, 303, 273, 303, 264, 3758, 4687, 5121, 267, 3092, 269, 0, 14532, 540, 631, 11965, 454, 300, 11965, 5398, 12567, 454, 289, 1258, 2763, 29274, 22952, 454, 18794, 3057, 514, 14986, 5980, 2336, 18794, 519, 8121, 306, 454, 294, 31678, 6153, 20324, 611, 2871, 903, 454, 25486, 783, 14986, 5516, 454, 12507, 628, 569, 14986, 5516, 454, 305, 846, 540, 519, 13600, 454, 300, 841, 11352, 17796, 454, 25486, 783, 14986, 31698, 454, 305, 343, 11123, 31178, 312, 681, 5308, 2464, 910, 16692, 2207, 454, 5719, 518, 3623, 1836, 9133, 3562, 4370, 998, 519, 4104, 949, 8580, 675, 909, 2592, 540, 645, 3711, 328, 543, 824, 9543, 1814, 1562, 267, 855, 8384, 873, 544, 4875, 707, 16101, 20421, 18742, 949, 28596, 513, 2898, 1114, 3210, 269, 1306, 8027, 543, 5010, 1646, 25837, 891, 11419, 995, 2261, 7596, 619, 856, 540, 741, 5065, 7226, 267, 789, 2461, 2693, 547, 1397, 909, 9170, 972, 779, 10664, 543, 1216, 1107, 543, 602, 1175, 949, 581, 707, 4677, 563, 2421, 15089, 8291, 700, 1180, 699, 324, 267, 9457, 14472, 4115, 454, 300, 2544, 13650, 267, 13095, 27494, 850, 639, 8280, 542, 639, 267, 543, 3109, 339, 9229, 13650, 267, 744, 269, 8280, 542, 639, 897, 3518, 1014, 639, 267, 616, 519, 1079, 1034, 1455, 28849, 538, 4993, 269, 1546, 518, 19584, 543, 1178, 2763, 3762, 267, 11710, 267, 543, 19512, 540, 1082, 29762, 2371, 1519, 24712, 269, 15681, 339, 1446, 4191, 540, 2963, 616, 795, 698, 3022, 6978, 8728, 593, 519, 13881, 2371, 267, 10058, 804, 8576, 11876, 1993, 16493, 543, 21167, 11057, 5323, 25940, 593, 519, 2666, 1472, 519, 2371, 269, 1656, 952, 1232, 777, 23550, 707, 9782, 2371, 14201, 1406, 2614, 267, 789, 666, 849, 911, 332, 921, 2371, 543, 3441, 1762, 4054, 543, 19211, 676, 27012, 741, 1884, 6840, 593, 959, 16218, 543, 17873, 269, 769, 938, 2916, 267, 3735, 4832, 998, 2038, 5614, 568, 950, 13650, 616, 1034, 538, 991, 540, 1426, 543, 2693, 547, 581, 32415, 10821, 2127, 563, 22546, 1947, 5883, 17237, 13650, 12346, 5097, 593, 7344, 543, 2168, 2409, 267, 1498, 972, 616, 930, 3114, 3681, 547, 2015, 912, 24292, 2409, 1107, 24712, 616, 1851, 519, 23163, 3536, 585, 13650, 543, 5247, 985, 1810, 1406, 3100, 547, 581, 1454, 540, 513, 15658, 1370, 269, 1358, 2408, 547, 4782, 13035, 1007, 2208, 609, 922, 2799, 1377, 540, 5567, 269, 1306, 513, 1362, 267, 24821, 6242, 24712, 3100, 547, 581, 10169, 1447, 14909, 547, 13650, 982, 824, 2010, 563, 9288, 22817, 543, 2168, 2409, 20620, 763, 1034, 6325, 1259, 547, 1832, 13650, 856, 540, 707, 4677, 568, 513, 20545, 269, 1546, 518, 616, 7415, 7914, 619, 543, 666, 2312, 4376, 2539, 982, 476, 277, 3952, 609, 3448, 8897, 269, 1403, 519, 20545, 568, 2587, 1194, 2476, 689, 519, 13452, 267, 621, 5932, 1312, 513, 5626, 543, 2168, 11064, 269, 1546, 518, 786, 19292, 547, 7914, 936, 1945, 538, 799, 789, 4250, 4742, 1303, 22931, 563, 293, 1878, 666, 581, 9112, 689, 1022, 540, 513, 3099, 540, 2326, 1519, 3574, 267, 2361, 5911, 267, 5832, 3095, 610, 5068, 17450, 269, 1358, 1058, 581, 693, 2547, 476, 277, 3952, 1164, 543, 723, 513, 476, 1789, 4110, 5086, 547, 581, 2500, 269, 1546, 518, 786, 31770, 896, 610, 998, 513, 20545, 952, 789, 666, 267, 865, 1118, 2386, 596, 5150, 519, 20545, 2673, 547, 519, 2666, 543, 7816, 1022, 9397, 563, 25821, 535, 9760, 561, 999, 513, 13650, 547, 513, 1448, 1141, 789, 561, 1157, 621, 543, 1205, 513, 8710, 269, 2991, 513, 795, 27117, 610, 1079, 13650, 786, 2356, 2057, 713, 1826, 540, 20545, 269, 634, 29942, 1546, 518, 674, 775, 18252, 1079, 20356, 30041, 9708, 630, 7224, 12904, 14386, 602, 2270, 513, 2178, 3114, 4482, 656, 267, 543, 20205, 513, 6007, 14617, 1376, 1782, 855, 20027, 8710, 950, 13650, 2119, 547, 1491, 513, 2879, 858, 563, 299, 2074, 6417, 676, 5163, 22572, 267, 32302, 543, 824, 17391, 3457, 666, 19225, 523, 13650, 2476, 1498, 789, 949, 711, 581, 1360, 2500, 543, 666, 581, 811, 8886, 908, 547, 21427, 543, 12543, 982, 547, 519, 13650, 269, 1546, 518, 4537, 1752, 1160, 568, 606, 8301, 1587, 602, 2882, 4992, 540, 13626, 532, 5243, 267, 6926, 908, 535, 1177, 985, 267, 20935, 536, 15085, 543, 824, 17116, 4992, 563, 294, 5090, 535, 9760, 593, 519, 2666, 568, 1776, 4781, 269, 1546, 518, 13842, 547, 3802, 593, 713, 18516, 3723, 532, 2627, 543, 666, 1406, 1205, 2673, 2614, 547, 519, 24712, 547, 3548, 873, 269, 20233, 621, 593, 519, 2666, 1472, 24712, 267, 609, 2371, 3395, 909, 998, 621, 563, 31367, 2409, 910, 540, 1852, 616, 15866, 28084, 1218, 910, 1919, 602, 723, 606, 1055, 2056, 610, 31029, 9329, 610, 513, 562, 7360, 8137, 269, 9351, 28084, 757, 616, 7856, 538, 519, 1966, 2230, 543, 1065, 601, 13650, 1813, 547, 741, 28067, 17627, 269, 4107, 28084, 757, 1058, 581, 4294, 1354, 3441, 4386, 543, 1590, 581, 31272, 29736, 4749, 267, 2523, 1310, 513, 4764, 267, 5230, 632, 342, 267, 610, 20057, 2401, 12555, 269, 13555, 28084, 757, 267, 547, 2611, 2500, 267, 1590, 581, 4294, 547, 1007, 16714, 607, 621, 10953, 563, 12709, 13402, 1858, 28084, 757, 1331, 7080, 2056, 9244, 1085, 5034, 13063, 540, 12853, 610, 1480, 4552, 538, 519, 25610, 540, 519, 3077, 2371, 269, 3220, 650, 513, 8559, 998, 1507, 267, 8185, 13526, 25390, 267, 14350, 20386, 13063, 540, 12853, 543, 13793, 689, 30367, 610, 2371, 1472, 519, 15943, 540, 519, 1858, 269, 634, 28084, 550, 568, 2110, 24331, 607, 13650, 1831, 26224, 547, 6526, 27509, 563, 299, 18612, 674, 775, 568, 513, 533, 2426, 550, 11100, 540, 2322, 10915, 1221, 5798, 543, 13342, 282, 519, 9329, 568, 513, 2693, 15658, 1370, 547, 13650, 543, 519, 32529, 269, 32147, 1695, 691, 779, 1546, 518, 5510, 8591, 11503, 24191, 514, 267, 519, 3742, 5057, 538, 31625, 18717, 267, 547, 519, 588, 1074, 344, 4212, 3575, 910, 952, 519, 9329, 3085, 1406, 1832, 519, 13650, 2476, 267, 519, 14723, 8137, 1315, 8886, 656, 3815, 568, 2693, 547, 269, 1677, 1118, 909, 513, 2147, 28084, 550, 267, 538, 513, 1164, 3432, 1025, 2658, 267, 3575, 1614, 5798, 267, 1614, 26486, 2699, 3905, 14036, 267, 1614, 26486, 1295, 1027, 13342, 267, 543, 930, 1216, 269, 5410, 713, 547, 513, 20645, 540, 1216, 543, 10936, 593, 2371, 269, 901, 7848, 3085, 1406, 11547, 1055, 519, 16714, 3362, 855, 556, 22190, 997, 566, 2789, 2053, 538, 519, 4005, 949, 581, 2877, 269, 2142, 2062, 8705, 2740, 1107, 713, 568, 7168, 1159, 11481, 8631, 543, 949, 711, 581, 1945, 596, 1616, 547, 946, 2673, 547, 519, 2777, 563, 6865, 6020, 7396, 1744, 820, 5025, 3118, 568, 513, 8869, 610, 30704, 1106, 540, 31352, 1774, 10729, 282, 621, 18252, 519, 23246, 1107, 10352, 4250, 15859, 547, 2569, 610, 9004, 13650, 19855, 269, 4256, 5010, 11100, 2882, 16541, 543, 27342, 13906, 10729, 543, 27333, 14014, 1996, 13650, 543, 25277, 267, 17544, 267, 1566, 1601, 4548, 267, 1236, 16218, 267, 575, 14279, 543, 6469, 7314, 269, 1546, 518, 2480, 1090, 689, 21768, 2975, 5549, 1421, 3096, 519, 1482, 4250, 2861, 1935, 282, 621, 3568, 3662, 676, 1790, 20094, 602, 9329, 899, 2669, 547, 13650, 855, 27581, 5749, 1405, 18086, 547, 3425, 269, 4340, 547, 519, 10672, 267, 13650, 27333, 1810, 1405, 1205, 26224, 547, 519, 9329, 540, 1546, 518, 2480, 1090, 267, 543, 835, 3498, 568, 10645, 547, 581, 2500, 585, 909, 547, 476, 3445, 2395, 538, 519, 4677, 269, 21081, 2737, 666, 581, 4294, 1472, 4054, 267, 19211, 267, 5810, 267, 30676, 543, 5388, 269, 634, 1587, 568, 476, 1321, 2600, 9436, 865, 621, 849, 5713, 607, 513, 13226, 563, 306, 14954, 880, 19775, 12518, 5652, 9536, 267, 849, 744, 28122, 7396, 267, 568, 513, 7848, 540, 11188, 322, 710, 543, 536, 990, 710, 1973, 7594, 269, 898, 2488, 5810, 267, 15022, 22954, 267, 19211, 267, 4829, 4054, 267, 10448, 10651, 543, 824, 1426, 7031, 609, 909, 547, 3670, 3275, 540, 4027, 1996, 19855, 13650, 267, 17544, 267, 2019, 525, 543, 25277, 563, 6826, 14982, 7201, 6229, 779, 10326, 15050, 3568, 519, 3742, 12146, 3787, 516, 343, 630, 6577, 26293, 1756, 1649, 15605, 622, 1070, 513, 454, 4226, 614, 7623, 602, 16919, 15265, 547, 13650, 269, 1879, 12015, 267, 621, 3762, 513, 2312, 1352, 523, 602, 759, 1235, 11547, 11325, 689, 4764, 269, 898, 666, 581, 1031, 593, 1022, 1875, 32103, 2030, 563, 763, 7145, 540, 1022, 15658, 1370, 2501, 1524, 547, 875, 17237, 519, 13650, 616, 543, 875, 1082, 972, 616, 269, 1411, 949, 1616, 547, 4603, 609, 513, 3099, 540, 8060, 547, 3313, 1018, 1568, 1655, 538, 5329, 519, 2261, 7596, 619, 856, 540, 707, 24712, 563, 21900, 657, 540, 13650, 538, 519, 2278, 781, 4677, 21806, 540, 667, 1014, 324, 700, 889, 4752, 563, 12041, 779, 771, 25068, 281, 29621, 540, 513, 1587, 538, 713, 3126, 540, 4930, 1281, 711, 13822, 23596, 618, 2901, 676, 519, 2278, 610, 519, 3057, 514, 14986, 5980, 269, 15733, 616, 3769, 585, 21141, 543, 10855, 5301, 1152, 563, 27987, 547, 519, 6301, 8525, 454, 15100, 3057, 514, 14986, 5980, 454, 5472, 7126, 27616, 454, 8310, 3525, 1881, 281, 476, 5400, 270, 6187, 270, 1001, 274, 0, 763, 19088, 540, 24553, 281, 589, 645, 3951, 540, 24553, 14929, 704, 543, 519, 769, 3685, 540, 519, 6176, 6520, 630, 300, 3951, 4964, 645, 3951, 306, 994, 298, 4669, 654, 269, 2142, 9807, 454, 1607, 20037, 4964, 645, 3951, 568, 21626, 539, 689, 519, 476, 1220, 280, 20037, 4964, 8313, 24553, 14929, 704, 543, 519, 6602, 540, 519, 1239, 6520, 676, 918, 4669, 654, 269, 2142, 9807, 563, 763, 13567, 540, 7384, 3926, 5075, 776, 24553, 25371, 14929, 704, 17704, 1194, 519, 1558, 324, 7595, 18330, 540, 519, 2022, 8705, 18376, 3768, 18249, 269, 901, 645, 3951, 6257, 519, 1612, 762, 540, 834, 600, 5074, 24553, 257, 543, 6645, 875, 1352, 8057, 547, 1831, 834, 1492, 476, 274, 6113, 27732, 540, 519, 1158, 781, 1101, 2780, 4799, 20225, 541, 730, 689, 741, 2828, 543, 1920, 269, 519, 476, 272, 560, 2395, 723, 1044, 13991, 547, 4974, 1318, 7952, 7014, 281, 4388, 593, 875, 547, 2322, 593, 513, 7833, 267, 4388, 593, 875, 547, 3180, 13951, 267, 2653, 2409, 547, 6023, 2706, 12542, 543, 1016, 24002, 269, 1142, 835, 15313, 1031, 547, 581, 17191, 547, 27655, 513, 1804, 4015, 540, 6169, 543, 5515, 267, 1927, 609, 519, 16034, 543, 14167, 338, 540, 8387, 543, 21821, 539, 1560, 540, 4600, 543, 519, 4408, 543, 2934, 540, 1028, 9285, 9635, 543, 14049, 5867, 269, 519, 3872, 5790, 1031, 547, 581, 17543, 1500, 30414, 593, 519, 1259, 547, 2087, 513, 15313, 779, 563, 4002, 1010, 1101, 1554, 693, 12370, 729, 2899, 1256, 811, 11495, 982, 646, 1185, 4397, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 596, 1223, 2015, 7311, 513, 2489, 3483, 6992, 16014, 269, 0, 763, 3504, 25069, 14369, 616, 5310, 1034, 4583, 585, 711, 1152, 741, 2259, 540, 1480, 15093, 855, 519, 4715, 12386, 4478, 621, 269, 1358, 7166, 14586, 540, 2112, 543, 513, 6074, 20165, 540, 741, 1378, 4961, 11221, 547, 18220, 519, 10971, 585, 513, 1032, 1354, 5870, 741, 798, 558, 538, 513, 1857, 9161, 1765, 1529, 2381, 908, 538, 519, 5356, 540, 519, 9601, 685, 1869, 15515, 908, 12271, 547, 519, 10971, 563, 3719, 267, 607, 966, 6387, 321, 2830, 9125, 6048, 4460, 639, 661, 828, 331, 6257, 538, 519, 1034, 2487, 3390, 540, 519, 11062, 16329, 1670, 4750, 267, 1614, 840, 20130, 13732, 11204, 13798, 1182, 1397, 602, 519, 1973, 3095, 1063, 519, 25069, 14369, 543, 741, 10971, 2965, 5956, 693, 4332, 563, 1103, 968, 301, 712, 5109, 29331, 281, 17510, 543, 12287, 3125, 538, 4400, 1633, 11204, 26467, 1182, 2223, 661, 828, 331, 11339, 602, 519, 13798, 1182, 267, 610, 968, 1485, 2835, 2223, 616, 5156, 547, 723, 20705, 547, 519, 25069, 322, 9082, 540, 519, 631, 4869, 29132, 6261, 29301, 320, 6874, 331, 1314, 5632, 320, 3148, 540, 3844, 6792, 269, 10266, 1540, 593, 5496, 19507, 539, 4773, 540, 12404, 267, 519, 13798, 1182, 2270, 2984, 827, 519, 10971, 267, 25069, 322, 16809, 543, 1585, 620, 2006, 30929, 602, 6039, 607, 2820, 22922, 8261, 338, 585, 25069, 322, 865, 16251, 16558, 563, 2691, 606, 25069, 322, 1126, 729, 4535, 267, 519, 865, 16251, 16558, 1131, 5077, 519, 4332, 620, 2006, 30929, 8659, 538, 891, 13798, 1182, 547, 3313, 519, 1034, 513, 22273, 5534, 4266, 547, 20006, 519, 1126, 883, 519, 25069, 322, 2146, 563, 763, 20169, 1131, 1287, 10929, 513, 3126, 540, 5402, 25287, 8319, 1117, 4332, 12738, 2966, 547, 28093, 826, 519, 1126, 609, 513, 9997, 267, 3313, 519, 1126, 779, 22038, 267, 543, 3715, 519, 3095, 1063, 1126, 543, 10971, 269, 1452, 4332, 12738, 3769, 28876, 543, 20803, 519, 1126, 267, 8429, 519, 1126, 936, 513, 3595, 267, 2542, 519, 1126, 779, 3520, 24005, 267, 9306, 519, 1126, 547, 519, 10971, 543, 267, 1851, 930, 2950, 267, 5373, 513, 3787, 540, 519, 1126, 779, 1973, 563, 4322, 12738, 941, 1101, 6592, 585, 16968, 640, 676, 5053, 22168, 267, 945, 14648, 873, 998, 513, 3864, 4168, 7828, 267, 855, 621, 568, 711, 1134, 6956, 1018, 789, 5921, 547, 519, 25069, 14369, 2933, 269, 634, 13798, 1182, 267, 661, 828, 331, 3081, 267, 1683, 602, 1271, 5813, 563, 2108, 16449, 519, 25069, 14369, 538, 1164, 1633, 6792, 267, 1268, 3125, 26520, 593, 519, 15896, 540, 513, 22038, 2223, 661, 828, 331, 11339, 269, 634, 2820, 22922, 1344, 8659, 1369, 519, 13798, 1182, 729, 519, 1883, 547, 606, 25069, 322, 10867, 779, 7004, 689, 6071, 17145, 543, 7633, 547, 513, 2407, 1268, 563, 763, 620, 2006, 30929, 6813, 2185, 8747, 540, 513, 476, 736, 6377, 9161, 4783, 1765, 26421, 4528, 18995, 513, 5601, 610, 15831, 7900, 835, 540, 2185, 4247, 281, 22815, 1424, 519, 1126, 267, 17666, 519, 1126, 267, 7829, 519, 16813, 559, 673, 10260, 610, 8808, 519, 1126, 269, 3962, 4528, 729, 849, 1016, 323, 22866, 883, 2516, 540, 2185, 2395, 1142, 267, 1142, 1895, 2404, 609, 513, 1880, 3090, 610, 2298, 269, 634, 865, 16251, 16558, 1131, 2015, 519, 4644, 540, 1142, 5601, 610, 15831, 267, 2534, 543, 3090, 2404, 609, 519, 6074, 1554, 547, 3313, 519, 1126, 779, 22038, 563, 763, 2185, 4247, 5340, 676, 519, 24587, 538, 519, 13798, 1182, 1765, 335, 1512, 1424, 267, 17666, 267, 7829, 519, 16813, 559, 673, 10260, 543, 8808, 1765, 21323, 519, 2185, 2081, 519, 10971, 6766, 519, 1126, 779, 22038, 563, 268, 623, 1512, 1424, 519, 1126, 281, 15987, 1906, 941, 6074, 547, 15093, 741, 2729, 267, 782, 25069, 14369, 941, 21406, 2390, 547, 15093, 741, 1973, 269, 10266, 543, 7092, 941, 9763, 607, 13710, 269, 10705, 519, 13798, 1182, 6813, 519, 5601, 610, 15831, 22815, 1424, 606, 3750, 4252, 267, 1129, 4328, 519, 1126, 779, 7004, 883, 513, 1373, 602, 1223, 1294, 5693, 1765, 32173, 958, 543, 19562, 8271, 269, 13068, 5075, 3090, 1242, 519, 2702, 547, 1451, 543, 20559, 5168, 269, 4033, 8440, 6813, 22815, 1424, 540, 519, 5023, 610, 1560, 563, 268, 10558, 532, 519, 1126, 281, 589, 1126, 4769, 1406, 1175, 991, 547, 581, 2111, 547, 1294, 267, 855, 849, 2877, 547, 581, 2938, 676, 519, 2146, 540, 10971, 538, 1931, 547, 581, 6444, 607, 513, 1373, 896, 10143, 4027, 269, 634, 5601, 610, 15831, 12651, 519, 1126, 909, 547, 21843, 602, 6284, 563, 268, 30047, 519, 16813, 559, 673, 10260, 281, 1635, 7829, 519, 16813, 559, 673, 10260, 267, 519, 5601, 610, 15831, 568, 7682, 532, 513, 3095, 1063, 519, 1126, 543, 519, 10143, 269, 1306, 519, 796, 9799, 1126, 729, 5532, 547, 922, 3993, 267, 865, 519, 20169, 568, 5532, 547, 922, 19121, 5601, 610, 15831, 563, 268, 16711, 519, 1126, 281, 4014, 519, 25069, 14369, 616, 4397, 547, 1118, 24279, 547, 741, 10971, 267, 789, 666, 849, 2503, 547, 4309, 29454, 689, 873, 269, 7754, 1564, 18071, 4775, 24587, 8808, 1453, 21843, 602, 23483, 2078, 563, 1607, 23483, 2078, 267, 610, 26315, 267, 729, 1572, 512, 26245, 26245, 5055, 23974, 559, 714, 339, 2993, 267, 610, 968, 1492, 29454, 540, 519, 10971, 609, 519, 1973, 540, 15093, 1848, 769, 922, 1034, 3665, 7664, 267, 519, 26315, 19411, 730, 538, 1480, 15093, 269, 968, 17829, 4079, 945, 941, 5697, 547, 791, 3205, 622, 519, 10971, 5747, 32380, 2223, 661, 828, 331, 1767, 269, 968, 3528, 16138, 5109, 519, 10971, 609, 741, 1973, 267, 789, 8120, 519, 10516, 540, 1272, 602, 519, 10971, 1185, 1655, 15735, 593, 873, 693, 4332, 1848, 0, 12507, 8767, 3609, 568, 519, 7939, 540, 4320, 540, 2724, 3761, 267, 676, 519, 3844, 4871, 538, 1931, 547, 3035, 3448, 3902, 6617, 269, 1403, 519, 4346, 568, 8022, 909, 1287, 519, 6239, 4871, 666, 2333, 519, 4871, 2557, 610, 519, 15395, 10421, 269, 24641, 950, 972, 568, 21748, 267, 1287, 519, 4871, 2557, 568, 4389, 269, 29698, 585, 519, 19938, 540, 14559, 18242, 7046, 2344, 4238, 269, 22418, 15944, 10421, 6465, 21881, 700, 1172, 7190, 22472, 15894, 9919, 4979, 7046, 2344, 4238, 281, 898, 568, 519, 9140, 543, 9513, 540, 2229, 19736, 269, 1403, 519, 631, 2529, 568, 1164, 1287, 519, 19736, 616, 4421, 865, 602, 1004, 4444, 621, 543, 2724, 4422, 547, 519, 590, 21990, 543, 952, 519, 631, 269, 590, 568, 1970, 1287, 596, 4444, 19736, 538, 713, 1259, 14559, 3761, 4679, 563, 290, 1662, 15944, 18859, 618, 454, 24576, 2688, 1557, 10765, 15448, 538, 3933, 8767, 8889, 538, 9031, 609, 1863, 17096, 1867, 454, 2005, 568, 513, 10421, 538, 799, 782, 519, 5010, 4871, 723, 547, 1832, 513, 6871, 540, 6666, 609, 519, 590, 21990, 269, 17497, 267, 621, 568, 1472, 476, 278, 18336, 268, 6465, 21881, 700, 1172, 7190, 22472, 281, 898, 568, 513, 10421, 538, 799, 1142, 4871, 814, 547, 2226, 513, 1978, 15395, 10421, 547, 7794, 741, 28880, 2990, 563, 268, 15894, 9919, 4979, 281, 898, 568, 519, 30651, 540, 519, 5580, 3970, 282, 9889, 553, 616, 8655, 547, 1114, 8492, 563, 14813, 3175, 7678, 538, 9031, 630, 1220, 275, 268, 1220, 280, 994, 6097, 547, 519, 3557, 7813, 540, 9031, 267, 519, 4295, 10637, 538, 519, 1032, 630, 1220, 276, 264, 729, 476, 279, 269, 829, 1298, 799, 814, 3592, 23060, 2094, 519, 2063, 1032, 630, 1220, 275, 264, 538, 799, 519, 10637, 2557, 729, 476, 274, 269, 476, 279, 829, 1298, 269, 4438, 713, 1032, 519, 1875, 3766, 21194, 24228, 2799, 676, 476, 1789, 829, 1298, 269, 634, 1079, 1292, 4128, 585, 1164, 10637, 1282, 713, 1974, 941, 1317, 540, 7050, 2229, 10210, 902, 543, 519, 3902, 540, 10568, 269, 4340, 547, 519, 3557, 7813, 540, 9031, 267, 2229, 6059, 602, 519, 10637, 2557, 538, 519, 1985, 1032, 1131, 2039, 1063, 476, 278, 269, 476, 278, 543, 476, 279, 269, 476, 274, 829, 1298, 563, 7628, 519, 1032, 630, 1220, 277, 264, 972, 729, 513, 6175, 538, 519, 2698, 10637, 540, 519, 2197, 630, 2102, 1968, 543, 1426, 264, 689, 476, 280, 269, 476, 274, 547, 476, 278, 269, 476, 280, 829, 1298, 543, 476, 1321, 269, 476, 276, 829, 1298, 547, 476, 277, 269, 829, 1298, 6606, 269, 634, 2229, 3576, 1896, 2101, 3268, 547, 3142, 519, 10637, 1524, 1282, 713, 1032, 607, 1134, 676, 9395, 2287, 519, 13075, 3609, 543, 11160, 13586, 519, 3761, 540, 1898, 21113, 998, 12666, 1436, 540, 1104, 12512, 269, 1306, 513, 1267, 519, 2489, 10637, 17379, 689, 476, 280, 269, 476, 274, 829, 1298, 630, 1220, 275, 268, 4962, 264, 547, 476, 278, 269, 476, 280, 829, 1298, 630, 1220, 276, 268, 6187, 264, 1299, 519, 1875, 3766, 21194, 24228, 538, 519, 1032, 476, 1220, 277, 2968, 476, 2537, 829, 1298, 269, 4438, 476, 1220, 278, 519, 4295, 10637, 4389, 689, 476, 278, 269, 476, 276, 829, 1298, 547, 476, 276, 269, 476, 280, 829, 1298, 267, 1813, 547, 9395, 13075, 3609, 269, 4340, 547, 519, 590, 21990, 519, 1426, 10637, 2799, 689, 476, 277, 269, 476, 280, 829, 1298, 630, 1220, 277, 264, 547, 476, 1015, 269, 829, 1298, 630, 1220, 278, 264, 1317, 540, 3761, 2427, 10148, 538, 799, 519, 5777, 540, 930, 1883, 1426, 25411, 1255, 630, 10175, 10568, 267, 7573, 267, 10448, 267, 575, 31649, 3092, 267, 264, 941, 2799, 269, 24641, 26483, 519, 1875, 32103, 5777, 8057, 693, 513, 14887, 10605, 2094, 2063, 1032, 543, 519, 2489, 5606, 3175, 630, 9573, 296, 264, 17379, 689, 476, 278, 269, 476, 280, 829, 1298, 547, 476, 278, 269, 476, 279, 829, 1298, 269, 634, 10637, 776, 7678, 538, 519, 1426, 5777, 1282, 519, 1032, 630, 1220, 279, 264, 2799, 547, 476, 1704, 269, 476, 277, 829, 1298, 607, 3379, 547, 519, 2063, 1032, 538, 799, 519, 1426, 10637, 729, 476, 1015, 269, 476, 274, 829, 1298, 267, 7133, 1004, 2713, 4441, 540, 1970, 543, 6378, 4747, 2516, 563, 763, 1875, 32103, 10637, 1185, 519, 1482, 2810, 7678, 607, 538, 519, 1032, 630, 1220, 278, 1070, 799, 729, 476, 277, 269, 829, 1298, 543, 1282, 519, 1032, 630, 1220, 279, 264, 729, 476, 278, 269, 476, 280, 829, 1298, 269, 4014, 519, 4295, 10637, 729, 4389, 547, 476, 276, 269, 476, 280, 829, 1298, 855, 1282, 713, 1032, 621, 4682, 1394, 547, 476, 279, 269, 476, 275, 829, 1298, 1317, 540, 519, 2518, 2333, 538, 930, 20161, 267, 2362, 10626, 13545, 858, 543, 676, 2199, 3761, 543, 3747, 9141, 5777, 269, 5606, 3175, 1282, 630, 1220, 279, 264, 6920, 602, 519, 5777, 540, 513, 1906, 21113, 630, 1240, 264, 1898, 1426, 3688, 10805, 8325, 2333, 3226, 1282, 519, 2034, 3368, 540, 519, 16642, 1032, 630, 1220, 279, 1040, 4033, 1713, 20334, 547, 630, 1220, 279, 264, 16057, 10637, 776, 7678, 3769, 2777, 10519, 267, 799, 568, 519, 4994, 602, 3800, 519, 1942, 540, 4070, 538, 9031, 267, 17040, 547, 476, 1556, 269, 829, 1298, 676, 4989, 630, 1220, 279, 1040, 634, 1699, 16642, 1032, 862, 10642, 609, 8897, 538, 24657, 3379, 547, 519, 1482, 3923, 540, 3105, 16642, 1032, 563, 763, 7082, 3902, 10637, 12422, 729, 476, 1556, 269, 476, 273, 829, 1298, 1282, 5147, 630, 1220, 280, 264, 607, 1996, 476, 2190, 269, 476, 274, 829, 1298, 538, 5147, 630, 1220, 279, 264, 543, 476, 1724, 269, 476, 272, 829, 1298, 538, 519, 3105, 3923, 269, 589, 2101, 2333, 538, 519, 4295, 10637, 729, 14754, 538, 5147, 630, 1220, 280, 264, 540, 476, 1704, 269, 476, 277, 829, 1298, 607, 3379, 547, 5147, 630, 1220, 279, 264, 476, 279, 269, 476, 275, 829, 1298, 269, 634, 1426, 10637, 2799, 676, 476, 277, 269, 476, 272, 829, 1298, 1282, 713, 16642, 1032, 269, 634, 1292, 2601, 585, 713, 1164, 10637, 729, 1813, 547, 1970, 13143, 2208, 3448, 547, 1104, 267, 1164, 3282, 5777, 543, 16283, 4914, 3854, 1102, 869, 563, 3519, 13254, 267, 835, 666, 2161, 602, 10637, 28148, 5540, 519, 2949, 2804, 2208, 267, 519, 2883, 5823, 1646, 543, 17908, 519, 7925, 4057, 12415, 540, 519, 2551, 269, 5606, 3175, 849, 11081, 519, 1483, 4747, 543, 28901, 10462, 269, 25392, 971, 24379, 5222, 540, 10637, 593, 519, 4346, 267, 972, 781, 513, 13618, 1851, 519, 1158, 3056, 3844, 8492, 602, 519, 3902, 6617, 568, 2469, 547, 581, 519, 6305, 6662, 540, 13075, 3609, 543, 519, 3844, 8492, 616 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16851, 779, 7903, 4724, 28051, 543, 11615, 540, 4336, 1848, 901, 568, 513, 2022, 827, 590, 19192, 874, 639, 281, 1772, 17623, 13317, 1143, 543, 922, 7903, 2509, 28051, 543, 11615, 540, 4336, 5310, 711, 519, 4224, 590, 19192, 874, 639, 711, 11319, 909, 519, 7823, 3478, 621, 547, 519, 1283, 1310, 1390, 4674, 1152, 547, 723, 621, 2887, 1394, 1524, 547, 519, 5377, 1586, 543, 1586, 543, 1586, 563, 1103, 6665, 1043, 4975, 630, 24154, 7588, 2567, 901, 568, 513, 1007, 19384, 14810, 602, 568, 18297, 593, 4880, 4148, 1731, 8613, 3126, 2813, 676, 24883, 6428, 323, 534, 3873, 602, 568, 1759, 593, 513, 1650, 1071, 31465, 676, 519, 5496, 32392, 543, 1655, 5498, 29818, 4589, 14943, 3873, 601, 19537, 764, 517, 543, 10491, 16189, 327, 6759, 345, 269, 898, 568, 538, 14082, 267, 865, 596, 723, 547, 1224, 5705, 527, 956, 952, 596, 616, 1152, 606, 2296, 10584, 269, 594, 729, 4535, 538, 8478, 543, 2899, 6785, 14082, 267, 855, 723, 16618, 782, 540, 621, 269, 594, 6068, 6947, 547, 519, 3197, 6340, 538, 14082, 269, 898, 5433, 5432, 543, 17681, 269, 898, 568, 513, 7574, 1893, 543, 519, 2575, 538, 713, 3126, 568, 9800, 543, 7524, 269, 594, 4166, 29709, 594, 729, 2542, 5705, 527, 956, 543, 3893, 4503, 538, 519, 3638, 543, 3178, 540, 9423, 11200, 532, 998, 713, 1950, 267, 1045, 580, 528, 908, 1650, 269, 634, 3197, 616, 5701, 609, 15683, 543, 2463, 269, 634, 11015, 540, 519, 12416, 4652, 9529, 538, 9670, 8761, 602, 1039, 3178, 547, 519, 1650, 543, 3142, 713, 12357, 1158, 883, 12667, 2070, 563, 10908, 3558, 630, 288, 26894, 2567, 901, 568, 606, 4587, 3126, 602, 5956, 609, 513, 29907, 950, 513, 7128, 11464, 543, 513, 4387, 3068, 606, 14156, 9901, 9814, 607, 5722, 2199, 7264, 538, 1410, 2364, 2406, 2132, 689, 519, 4666, 269, 898, 568, 1614, 12405, 1279, 267, 543, 519, 1101, 1079, 1930, 909, 865, 1082, 5499, 2093, 543, 7399, 267, 855, 4005, 476, 274, 8813, 6366, 593, 922, 3068, 543, 30001, 782, 519, 4898, 543, 519, 27803, 1373, 8268, 267, 538, 1250, 6644, 269, 594, 993, 19914, 594, 14478, 621, 1317, 594, 4121, 1018, 594, 798, 711, 1616, 547, 798, 607, 594, 2328, 1250, 9661, 563, 296, 729, 865, 536, 6139, 1042, 676, 875, 789, 8694, 713, 3126, 267, 594, 4682, 593, 2228, 547, 1294, 952, 1866, 941, 1932, 543, 1336, 713, 1390, 5816, 281, 6196, 589, 514, 1406, 16458, 1923, 17352, 540, 9413, 543, 7641, 5059, 593, 2021, 2560, 4481, 17897, 476, 274, 630, 810, 952, 596, 20053, 547, 4585, 3794, 3558, 267, 4688, 713, 3135, 585, 2663, 1317, 972, 616, 9090, 27253, 619, 267, 1519, 1250, 6085, 972, 1916, 290, 1301, 601, 31733, 15540, 454, 2691, 621, 2501, 547, 2257, 5708, 543, 14810, 267, 594, 723, 2097, 547, 8275, 594, 993, 4584, 344, 267, 543, 711, 782, 616, 519, 1482, 269, 769, 1249, 538, 519, 2136, 2276, 267, 649, 616, 7092, 689, 1018, 594, 723, 2097, 547, 2165, 519, 25844, 601, 31733, 15540, 269, 898, 568, 513, 7839, 513, 6794, 602, 568, 546, 17741, 1524, 875, 2984, 616, 1373, 5143, 538, 2835, 543, 556, 19960, 1441, 593, 13819, 269, 634, 1434, 1532, 611, 7941, 538, 25844, 601, 31733, 2984, 568, 22880, 267, 4608, 805, 633, 267, 543, 19309, 269, 23875, 568, 2451, 538, 1532, 15277, 1700, 9767, 616, 2901, 519, 1434, 18560, 610, 8004, 610, 596, 2461, 519, 3983, 835, 269, 634, 3983, 3283, 3592, 2141, 6336, 538, 519, 1439, 267, 855, 596, 1205, 972, 538, 1768, 1026, 569, 796, 19960, 514, 894, 267, 22266, 267, 9409, 2081, 2507, 553, 519, 1434, 18560, 610, 7523, 6368, 9060, 513, 2849, 1088, 540, 5837, 610, 5289, 4222, 543, 7173, 5661, 269, 23620, 568, 4389, 547, 796, 1231, 25378, 3023, 10207, 602, 5693, 2097, 689, 21828, 6720, 553, 625, 540, 12779, 9038, 563, 1432, 21898, 338, 803, 1034, 568, 25844, 601, 31733, 9423, 568, 602, 789, 616, 711, 9237, 547, 519, 3197, 269, 1358, 4043, 547, 4174, 701, 2476, 741, 6988, 543, 8103, 543, 3196, 873, 547, 798, 1919, 1996, 741, 1915, 779, 5837, 24598, 25751, 269, 8786, 267, 16545, 3197, 723, 5837, 24598, 25751, 267, 789, 616, 1483, 543, 1590, 11441, 585, 2495, 267, 3483, 543, 15683, 1932, 269, 594, 993, 711, 2469, 547, 2491, 713, 1631, 267, 855, 25844, 601, 31733, 2984, 899, 547, 2322, 741, 3197, 883, 3810, 733, 337, 1882, 3871, 602, 789, 1131, 2760, 798, 8259, 7142, 547, 676, 741, 19252, 543, 796, 1231, 18944, 15888, 269, 1358, 616, 2322, 883, 891, 3871, 17033, 585, 9913, 4128, 267, 799, 2731, 18922, 547, 2724, 269, 5221, 25844, 601, 31733, 12696, 543, 15888, 4126, 585, 17542, 543, 17542, 540, 13588, 1700, 663, 789, 1589, 1152, 3810, 6720, 553, 1242, 2413, 1350, 14508, 2209, 1134, 798, 713, 269, 2991, 8384, 971, 513, 7210, 569, 1650, 267, 4986, 16853, 610, 13978, 538, 519, 20369, 3832, 610, 9997, 689, 519, 1650, 269, 2334, 568, 1317, 972, 568, 4986, 1483, 972, 269, 1703, 568, 4986, 683, 2130, 519, 1480, 1995, 540, 2495, 267, 5168, 267, 4641, 267, 610, 4898, 269, 15526, 6487, 891, 2010, 540, 2984, 616, 22938, 1426, 585, 519, 9997, 269, 1358, 616, 10464, 32649, 540, 2592, 5921, 547, 8945, 267, 13587, 633, 267, 543, 6445, 596, 909, 609, 513, 2898, 2603, 540, 4986, 267, 1175, 899, 952, 596, 17696, 1152, 25844, 601, 17711, 585, 782, 707, 3232, 8770, 4170, 563, 3383, 1577, 779, 1205, 1394, 547, 602, 2262, 590, 19192, 874, 639, 602, 6854, 1402, 4771, 883, 1250, 2247, 563, 5475, 1373, 25922, 676, 1776, 25844, 601, 31733, 670, 19447, 3126, 267, 594, 23564, 1394, 547, 28923, 547, 6968, 585, 513, 1007, 3126, 547, 4585, 269, 2334, 779, 950, 513, 476, 1708, 272, 28923, 856, 540, 3162, 9705, 9575, 1250, 3750, 269, 898, 729, 1572, 590, 19192, 874, 639, 256, 28611, 267, 594, 1131, 723, 2322, 621, 593, 1250, 1677, 13772, 13536, 1592, 2094, 621, 2838, 2542, 5705, 527, 956, 1586, 269, 1809, 1317, 540, 519, 5348, 577, 3055, 640, 267, 594, 2219, 1018, 519, 646, 1188, 267, 979, 585, 621, 2336, 296, 6068, 621, 256, 1656, 594, 4362, 602, 594, 2648, 519, 11114, 1259, 540, 10213, 2984, 26008, 2336, 763, 5958, 540, 713, 1650, 568, 3638, 18955, 609, 2370, 11353, 540, 4154, 543, 8988, 2429, 519, 476, 1626, 14501, 269, 3962, 835, 3217, 519, 21951, 593, 513, 3460, 267, 13031, 513, 2370, 3787, 811, 538, 9670, 2081, 602, 8591, 3178, 547, 1142, 1915, 267, 1256, 519, 9409, 3283, 269, 634, 5636, 1622, 723, 1394, 560, 1559, 602, 616, 607, 1950, 607, 519, 12325, 269, 16645, 1622, 543, 12325, 7567, 616, 5701, 25473, 543, 1100, 1164, 10509, 2110, 11912, 616, 1031, 547, 12990, 1434, 9423, 269, 10801, 519, 476, 1626, 14501, 267, 519, 21951, 13788, 513, 3460, 630, 320, 1158, 264, 602, 9428, 811, 543, 811, 1950, 607, 596, 979, 281, 596, 1332, 607, 519, 3197, 1332, 563, 306, 19192, 874, 639, 18544, 519, 1148, 540, 11029, 9423, 269, 901, 568, 513, 1641, 594, 13713, 20109, 2390, 2038, 538, 1250, 5816, 3101, 3646, 538, 513, 5816, 15819, 952, 11814, 633, 26306, 25792, 269, 769, 621, 594, 2911, 827, 519, 4563, 7395, 6509, 543, 519, 6519, 7395, 6509, 543, 741, 5107, 538, 938, 1480, 20369, 3832, 269, 594, 16668, 873, 1247, 6947, 547, 513, 4457, 1870, 1922, 514, 2574, 16159, 2911, 827, 11686, 779, 1379, 1404, 1394, 538, 476, 1001, 279, 609, 3624, 593, 4123, 269, 630, 2005, 779, 4769, 1406, 1439, 1134, 676, 519, 1259, 2507, 713, 1379, 1404, 11686, 6836, 2507, 585, 4892, 610, 585, 11686, 945, 5116, 519, 17612, 540, 7366, 540, 1507, 29704, 543, 824, 6705, 538, 28855, 344, 8094, 7804, 269, 8834, 16441, 11329, 856, 5375, 2093, 540, 19908, 616, 3833, 1114, 689, 8109, 2093, 269, 1261, 1767, 538, 4457, 267, 519, 1034, 2147, 2262, 789, 723, 547, 19908, 568, 512, 5451, 12639, 14504, 333, 267, 799, 1797, 6158, 543, 32198, 269, 1280, 519, 4457, 267, 621, 568, 2808, 519, 4158, 2427, 540, 9297, 609, 519, 5101, 4782, 2590, 547, 1445, 593, 6643, 950, 2324, 856, 9388, 269, 1717, 267, 972, 616, 5458, 3604, 538, 875, 6643, 568, 5342, 676, 513, 5375, 17009, 520, 8957, 606, 8109, 17009, 520, 269, 1635, 8109, 4441, 267, 5375, 619, 616, 2808, 1970, 8410, 3667, 3868, 2209, 630, 328, 4318, 1421, 1463, 543, 3196, 995, 267, 799, 666, 581, 2808, 1360, 678, 8775, 676, 8109, 4441, 1040, 8109, 2528, 9598, 919, 513, 1454, 811, 1164, 8410, 3667, 2511, 540, 2792, 267, 799, 568, 11603, 267, 12346, 811, 593, 1560, 1893, 267, 543, 568, 1759, 593, 3347, 563, 1607, 1946, 594, 6068, 590, 19192, 874, 639, 269, 1358, 2995, 713, 1650, 1210, 513, 1454, 811, 1164, 8410, 3667, 2511, 540, 9423, 269, 594, 849, 2648, 6947, 547, 519, 11051, 3717, 11114, 269, 5272, 2262, 789, 19039, 568, 2407, 540, 2495, 267, 3483, 267, 543, 7553, 269, 634, 3159, 543, 1259, 513, 2262, 568, 1767, 568, 811, 1271, 982, 519, 2262, 3294, 269, 1411, 1174, 513, 5152, 676, 875, 519, 22256, 521, 902, 621, 267, 865, 1932, 609, 8109, 4654, 269, 1358, 616, 2407, 540, 2592, 267, 2495, 267, 2796, 267, 543, 7553, 269, 1656, 3884, 1406, 602, 1018, 649, 616, 2731, 6159, 1324, 538, 8384, 610, 2542, 513, 1650, 286, 12213, 2495, 543, 3483, 286, 17610, 267, 6266, 540, 1004, 786, 2161, 789, 1175, 1616, 547, 9101, 883, 1945, 19278, 2507, 855, 952, 596, 3605, 1945, 827, 3054, 543, 1866, 1247, 3257, 865, 267, 3884, 1406, 602, 513, 2898, 2603, 1732, 269, 853, 4428, 602, 6529, 547, 596, 543, 2306, 596, 513, 1732, 1367, 2507, 2337, 596, 1332, 607, 513, 6857, 2713, 1373, 286, 2336, 10214, 1498, 649, 20912, 875, 3532, 543, 1898, 1434, 9423, 568, 538, 5375, 2528, 267, 649, 616, 5182, 1324, 585, 1434, 267, 27357, 267, 6891, 6681, 2984, 602, 10480, 938, 20339, 607, 1134, 607, 938, 5762, 3293, 267, 11821, 8186, 269, 12267, 602, 32570, 12008, 14326, 2877, 547, 14710, 8969, 281, 519, 3196, 602, 10943, 26262, 938, 20369, 3832, 543, 20637, 721, 538, 11995, 1642, 16272, 543, 2192, 16272, 602, 1152, 1118, 721, 4130, 267, 1611, 518, 267, 543, 3565, 547, 519, 27757, 540, 782, 1272, 593, 3047, 563, 288, 1007, 3659, 594, 4076, 1500, 1282, 8255, 609, 623, 32658, 630, 534, 1278, 3158, 540, 5243, 543, 3214, 264, 5227, 1776, 11114, 28923, 1397, 1572, 9197, 1662, 8092, 532, 593, 1411, 269, 594, 4769, 1406, 1589, 594, 1131, 899, 621, 1732, 982, 590, 19192, 874, 639, 267, 855, 594, 2648, 621, 1256, 811, 269, 634, 3178, 540, 1142, 1915, 9428, 543, 29908, 856, 538, 6397, 2081, 538, 1142, 12558, 269, 1656, 1810, 1406, 4413, 519, 2370, 19589, 693, 519, 1360, 1439, 1310, 596, 1589, 519, 12558, 814, 11943, 269, 3502, 2141, 267, 855, 1419, 267, 789, 1397, 596, 1945, 711, 3254, 4505, 269, 898, 568, 1419, 1945, 602, 25361, 538, 513, 7934, 543, 25361, 856, 519, 3178, 540, 519, 1915, 1700, 6011, 789, 616, 3206, 267, 6544, 1516, 267, 543, 9117, 538, 519, 1158, 269, 1215, 789, 616, 13321, 998, 942, 543, 2230, 563, 7069, 3659, 28529, 1014, 18937, 514, 814, 1175, 11540, 1945, 1360, 16367, 827, 1946, 594, 6068, 713, 1397, 269, 634, 9365, 32750, 568, 711, 2324, 267, 865, 594, 993, 25718, 2630, 1018, 28529, 1014, 814, 11540, 630, 2998, 547, 1010, 3135, 1657, 547, 1294, 811, 540, 1010, 9708, 2187, 265, 23219, 1874, 3125, 538, 25141, 543, 20556, 265, 3117, 4109, 8165, 568, 513, 1390, 948, 538, 3347, 1063, 2367, 543, 2021, 269, 28044, 1767, 267, 968, 13563, 22888, 616, 519, 521, 5417, 652, 538, 519, 2898, 1158, 267, 1317, 519, 812, 1281, 782, 1010, 8165, 693, 519, 5604, 3034, 2691, 513, 812, 543, 513, 4807, 616, 7555, 23179, 3562, 3562, 324, 19163, 267, 1018, 568, 621, 602, 519, 812, 6499, 286, 10705, 646, 1281, 711, 917, 269, 1261, 6499, 519, 4655, 547, 1439, 1317, 646, 568, 12922, 267, 1317, 646, 3085, 1406, 917, 875, 547, 4339, 267, 1317, 646, 968, 323, 3996, 333, 1406, 3494, 538, 8165, 2223, 1317, 646, 2760, 4718, 1010, 3993, 543, 4651, 4339, 538, 513, 4829, 995, 1259, 267, 1317, 1010, 6302, 616, 865, 14605, 9738, 602, 1169, 18156, 19876, 11579, 6233, 547, 519, 1360, 4099, 540, 1010, 9221, 267, 799, 568, 13035, 543, 31604, 269, 1879, 695, 8083, 540, 30270, 2097, 856, 540, 519, 812, 267, 621, 1797, 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 ]

[ 0, 26611, 23591, 24800, 270, 7090, 274, 692, 5035, 8827, 912, 22592, 1250, 306, 5720, 4311, 267, 1535, 2187, 453, 14851, 1535, 2652, 476, 271, 610, 1535, 2652, 476, 272, 281, 2132, 1535, 454, 453, 453, 3847, 267, 1318, 815, 476, 272, 267, 1535, 454, 453, 453, 6112, 2451, 10922, 1318, 912, 4848, 453, 13232, 815, 630, 3847, 1341, 1318, 264, 1315, 476, 273, 454, 4848, 13537, 263, 3847, 267, 4571, 267, 1318, 994, 4848, 14851, 4571, 2652, 1535, 1315, 4571, 912, 15235, 16596, 4571, 454, 4848, 453, 19197, 4571, 2999, 1535, 1315, 4571, 912, 15235, 453, 3847, 815, 4571, 454, 4848, 28432, 912, 15235, 453, 2431, 815, 4571, 454, 4848, 14851, 2612, 263, 3847, 910, 1318, 264, 10922, 476, 271, 269, 4962, 912, 15235, 453, 19874, 454, 453, 13537, 263, 3847, 267, 4571, 267, 1318, 994, 453, 16596, 703, 263, 2431, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 338, 1828, 815, 8827, 4590, 13537, 4433, 1828, 269, 3240, 306, 5720, 263, 20969, 278, 4375, 4649, 280, 280, 4917, 0, 5814, 556, 454, 3667, 815, 834, 763, 2656, 6960, 16541, 26357, 936, 519, 27823, 2915, 4799, 3667, 815, 1193, 31573, 29495, 994, 577, 1513, 24512, 815, 1592, 29495, 994, 10420, 18380, 815, 31460, 1721, 1347, 538, 1347, 338, 24512, 912, 825, 952, 556, 269, 14142, 2891, 314, 320, 22271, 316, 2580, 1347, 2187, 1038, 952, 1347, 538, 1347, 18380, 912, 2018, 1347, 18380, 314, 10420, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1347, 18380, 15630, 29239, 263, 10420, 267, 476, 272, 994, 604, 7003, 263, 10420, 18380, 264, 2652, 476, 2918, 912, 825, 1820, 2891, 10429, 357, 421, 481, 357, 12571, 360, 7430, 378, 11210, 490, 7430, 355, 7430, 482, 11210, 489, 5602, 12828, 912, 825, 1820, 2891, 420, 370, 367, 11210, 488, 7430, 359, 7430, 482, 18998, 26406, 351, 7430, 501, 7430, 355, 5602, 825, 1820, 263, 10420, 18380, 994, 0, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 7531, 3698, 5119, 318, 842, 549, 10031, 825, 2549, 815, 5286, 30784, 1052, 263, 1015, 1040, 31412, 263, 273, 267, 276, 994, 825, 1820, 263, 8649, 994, 825, 31901, 719, 815, 834, 8649, 263, 686, 267, 857, 264, 815, 2549, 263, 260, 323, 267, 260, 323, 6661, 260, 323, 257, 260, 263, 272, 267, 274, 267, 8649, 314, 272, 6012, 274, 7481, 825, 1820, 263, 560, 323, 719, 2020, 825, 1948, 3698, 710, 2241, 5119, 267, 645, 332, 454, 825, 1820, 2891, 2525, 284, 12861, 645, 332, 815, 2525, 5602, 825, 645, 332, 815, 5286, 15126, 8443, 272, 267, 273, 267, 274, 267, 275, 316, 1040, 31412, 263, 273, 267, 273, 264, 1948, 339, 1248, 6152, 547, 476, 273, 343, 273, 19336, 454, 825, 1820, 16360, 332, 994, 825, 31901, 719, 815, 834, 289, 332, 263, 686, 267, 857, 264, 815, 645, 332, 263, 260, 323, 267, 260, 323, 6661, 260, 323, 257, 260, 263, 272, 267, 271, 32390, 332, 314, 272, 6012, 271, 7481, 825, 1820, 263, 560, 323, 719, 2020, 825, 1948, 292, 2211, 30150, 8691, 454, 825, 1820, 19629, 333, 2525, 645, 332, 30818, 289, 332, 2652, 5602, 825, 1820, 16360, 332, 265, 289, 332, 2020, 825, 1948, 30467, 8691, 3097, 825, 1820, 19629, 333, 2525, 645, 332, 1535, 645, 332, 2652, 5602, 825, 1820, 18828, 269, 3901, 332, 592, 16360, 332, 32390, 332, 11723, 825, 1948, 3698, 710, 6152, 595, 341, 454, 825, 595, 341, 815, 5286, 15126, 8443, 276, 267, 277, 7481, 825, 1820, 19629, 333, 2525, 595, 341, 30818, 289, 332, 2652, 5602, 825, 1820, 18154, 341, 265, 289, 332, 2020, 825, 1948, 3698, 710, 6241, 6152, 667, 341, 3097, 825, 1948, 2750, 1051, 667, 341, 815, 1496, 276, 267, 277, 316, 317, 307, 1547, 265, 20886, 272, 267, 273, 2639, 825, 1948, 13376, 1496, 274, 267, 275, 27663, 825, 1948, 815, 20886, 276, 267, 1015, 27663, 825, 1948, 825, 1496, 1240, 267, 2190, 316, 6540, 825, 1820, 19629, 333, 2525, 667, 341, 2652, 5602, 825, 667, 341, 815, 5286, 15126, 8443, 276, 267, 277, 316, 1040, 31412, 263, 273, 267, 272, 994, 825, 1820, 20573, 341, 994, 825, 1820, 19629, 333, 2525, 667, 341, 265, 289, 332, 5602, 825, 1820, 20573, 341, 265, 289, 332, 2020, 825, 1948, 1952, 569, 1599, 547, 5119, 3097, 825, 2473, 332, 815, 5286, 6983, 4878, 16360, 332, 994, 825, 1820, 19629, 333, 2525, 311, 332, 1299, 2473, 332, 317, 274, 2525, 5602, 825, 1820, 11583, 332, 994, 825, 585, 1535, 538, 5286, 269, 526, 3438, 11583, 332, 267, 1566, 318, 4148, 4711, 284, 9131, 1348, 31095, 11172, 2187, 1038, 1535, 314, 1862, 316, 815, 1535, 1262, 274, 692, 825, 1820, 11583, 332, 2020, 825, 1948, 12133, 1496, 272, 267, 272, 2639, 825, 1820, 19629, 333, 2525, 12133, 532, 20886, 272, 267, 272, 14963, 2525, 5602, 825, 2473, 332, 815, 12639, 26769, 13906, 523, 622, 9230, 12639, 15126, 31912, 272, 267, 272, 14963, 1070, 311, 332, 1070, 9471, 284, 271, 994, 825, 1820, 11583, 332, 2020, 825, 1820, 19629, 333, 2525, 2745, 1101, 6241, 2473, 332, 5602, 825, 1820, 11583, 332, 18020, 314, 271, 316, 7481, 825, 1820, 19629, 333, 2525, 2745, 2063, 6241, 2473, 332, 5602, 825, 1820, 11583, 332, 314, 314, 273, 3910, 20285, 825, 1820, 19629, 333, 2525, 1372, 548, 1154, 1101, 1299, 2034, 4737, 2525, 5602, 825, 2473, 332, 815, 5286, 19709, 8541, 11583, 332, 267, 271, 267, 271, 994, 825, 2473, 332, 815, 5286, 19709, 8541, 11583, 332, 267, 271, 267, 271, 994, 825, 1820, 11583, 332, 2020, 825, 1820, 19629, 333, 2525, 18419, 1101, 3693, 2652, 5602, 825, 2506, 815, 5286, 15126, 31912, 272, 267, 273, 267, 274, 316, 7481, 825, 1820, 263, 10387, 994, 825, 1820, 18828, 19709, 8541, 263, 10387, 267, 272, 11723, 825, 1820, 19629, 333, 2525, 31412, 1496, 1015, 267, 736, 267, 1556, 267, 2641, 267, 1321, 267, 2420, 316, 2652, 5602, 825, 674, 332, 815, 5286, 15126, 8443, 1015, 267, 736, 267, 1556, 267, 2641, 267, 1321, 267, 2420, 7481, 825, 1820, 263, 293, 332, 994, 825, 674, 332, 815, 674, 332, 269, 31412, 263, 274, 267, 273, 994, 825, 1820, 263, 293, 332, 994, 825, 674, 332, 815, 5286, 6745, 4920, 2821, 263, 293, 332, 994, 825, 1820, 263, 293, 332, 2020, 825, 1820, 19629, 333, 2525, 19530, 532, 7516, 2525, 5602, 825, 1820, 263, 293, 332, 17482, 994, 825, 1820, 263, 293, 332, 17482, 314, 272, 316, 1341, 476, 272, 2020, 3698, 1292, 10031, 825, 5119, 318, 842, 549, 10797, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 3698, 13182, 19091, 263, 19091, 2187, 825, 585, 1775, 538, 5027, 912, 1038, 952, 1775, 711, 538, 834, 2969, 24774, 13426, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 19091, 284, 6358, 14061, 29328, 14061, 21639, 4590, 9492, 323, 284, 6358, 10797, 604, 13182, 19091, 263, 19091, 2187, 825, 952, 4699, 323, 2525, 257, 305, 13426, 1038, 3312, 6889, 2969, 24774, 4840, 1038, 4483, 6889, 307, 3722, 294, 4840, 1038, 1007, 19091, 284, 3269, 454, 1038, 585, 1775, 538, 5027, 912, 2018, 1007, 19091, 23785, 10520, 2536, 314, 13092, 26098, 9217, 22708, 1038, 1007, 19091, 284, 2908, 19091, 11468, 18737, 272, 2639, 1038, 1820, 28956, 19091, 994, 825, 8640, 4699, 323, 2525, 257, 293, 13426, 1038, 1820, 2891, 288, 28121, 9574, 570, 28121, 9574, 717, 28121, 9574, 595, 284, 24001, 2668, 8971, 263, 19091, 29644, 2891, 288, 19823, 19091, 29644, 2891, 307, 19823, 19091, 29644, 2891, 294, 19823, 19091, 29644, 2891, 290, 257, 21875, 825, 8640, 4699, 323, 2525, 257, 291, 13426, 1038, 4699, 323, 284, 6358, 4590, 1038, 678, 284, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 263, 19091, 9984, 272, 2187, 2018, 952, 630, 19091, 5157, 281, 328, 266, 273, 316, 2525, 9492, 323, 2567, 337, 23785, 272, 454, 1038, 1820, 16868, 994, 12828, 912, 825, 1820, 2891, 1103, 20777, 5027, 8442, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 21267, 28272, 607, 12301, 454, 5814, 21267, 31815, 832, 607, 544, 3712, 832, 454, 5814, 4351, 454, 5814, 11885, 607, 5286, 692, 3698, 2638, 318, 31371, 321, 2293, 263, 4900, 267, 897, 338, 267, 2681, 2187, 476, 1948, 13765, 2436, 5580, 1591, 568, 3109, 454, 476, 952, 9343, 268, 272, 285, 284, 271, 543, 5119, 314, 4900, 268, 272, 6012, 3712, 338, 316, 2652, 476, 272, 912, 825, 5119, 314, 4900, 268, 272, 6012, 3712, 338, 316, 815, 2681, 454, 825, 1948, 322, 718, 2638, 10468, 662, 321, 2293, 1599, 689, 1369, 3294, 454, 825, 2638, 318, 31371, 321, 2293, 263, 4900, 268, 272, 267, 897, 338, 267, 2681, 2020, 476, 1948, 13765, 2436, 2539, 1591, 568, 3109, 454, 476, 952, 9343, 266, 272, 283, 6352, 263, 9795, 264, 543, 5119, 314, 4900, 266, 272, 6012, 3712, 338, 316, 2652, 476, 272, 912, 825, 5119, 314, 4900, 266, 272, 6012, 3712, 338, 316, 815, 2681, 454, 825, 1948, 322, 718, 2638, 10468, 662, 321, 2293, 1599, 689, 1369, 3294, 454, 825, 2638, 318, 31371, 321, 2293, 263, 4900, 266, 272, 267, 897, 338, 267, 2681, 2020, 476, 1948, 13765, 2436, 2451, 1591, 568, 3109, 454, 476, 952, 897, 338, 268, 272, 285, 284, 271, 543, 5119, 314, 4900, 6012, 3712, 338, 268, 272, 316, 2652, 476, 272, 912, 825, 5119, 314, 4900, 6012, 3712, 338, 268, 272, 316, 815, 2681, 454, 825, 1948, 322, 718, 2638, 10468, 662, 321, 2293, 1599, 689, 1369, 3294, 454, 825, 2638, 318, 31371, 321, 2293, 263, 4900, 267, 897, 338, 268, 272, 267, 2681, 2020, 476, 1948, 13765, 2436, 1318, 1591, 568, 3109, 454, 476, 952, 897, 338, 266, 272, 283, 6352, 263, 9795, 314, 4900, 8079, 543, 5119, 314, 4900, 6012, 3712, 338, 266, 272, 316, 2652, 476, 272, 912, 825, 5119, 314, 4900, 6012, 3712, 338, 266, 272, 316, 815, 2681, 454, 825, 1948, 322, 718, 2638, 10468, 662, 321, 2293, 1599, 689, 1369, 3294, 454, 825, 2638, 318, 31371, 321, 2293, 263, 4900, 267, 897, 338, 266, 272, 267, 2681, 9239, 258, 8073, 513, 4351, 15279, 10233, 3009, 454, 3698, 4351, 318, 10233, 263, 3712, 832, 564, 2187, 476, 1247, 6936, 912, 825, 4351, 318, 10233, 815, 834, 258, 257, 266, 5257, 269, 21860, 8443, 12690, 26716, 4069, 3488, 23713, 24833, 277, 4281, 280, 5723, 7374, 9128, 10807, 585, 1775, 538, 2039, 263, 277, 264, 7481, 825, 952, 4351, 318, 10233, 11203, 1412, 258, 13697, 13697, 13697, 262, 543, 4351, 318, 10233, 711, 538, 4778, 564, 912, 8587, 4778, 564, 14491, 263, 12690, 318, 10233, 994, 8587, 2132, 4351, 318, 10233, 7531, 3698, 30256, 263, 9795, 2187, 476, 1948, 8073, 585, 8520, 602, 2196, 998, 1169, 1591, 538, 5119, 454, 476, 1948, 2637, 4733, 2681, 267, 3651, 2681, 547, 519, 1591, 543, 1289, 2638, 318, 31371, 321, 2293, 950, 1265, 606, 796, 3712, 1819, 3109, 1591, 563, 476, 1948, 25849, 3043, 2681, 950, 1265, 513, 3043, 1591, 609, 544, 3712, 832, 30419, 24417, 326, 321, 3488, 258, 13697, 13697, 13697, 262, 1916, 476, 4778, 564, 815, 1305, 4590, 476, 585, 4737, 538, 2039, 263, 271, 267, 6352, 263, 9795, 15892, 825, 585, 6241, 538, 2039, 263, 271, 267, 6352, 263, 9795, 314, 992, 8079, 2187, 8587, 1948, 1336, 796, 3712, 1819, 3109, 1591, 454, 8587, 952, 5119, 314, 992, 6012, 26383, 316, 2652, 476, 272, 912, 1038, 1948, 22056, 4351, 2681, 609, 3097, 1038, 2681, 815, 476, 544, 3712, 832, 30419, 24417, 326, 321, 263, 12690, 318, 10233, 263, 3712, 832, 564, 4917, 1038, 5119, 314, 992, 6012, 26383, 316, 815, 2681, 454, 1038, 1948, 21040, 2681, 547, 30256, 454, 1038, 2638, 318, 31371, 321, 2293, 21405, 267, 6241, 267, 2681, 994, 8587, 1948, 1336, 796, 3712, 1819, 3043, 1591, 454, 8587, 8640, 5119, 314, 992, 6012, 26383, 316, 2652, 476, 271, 10778, 1038, 5119, 314, 992, 6012, 26383, 316, 815, 476, 544, 3712, 832, 30419, 24417, 326, 321, 3488, 258, 13697, 13697, 13697, 262, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 8173, 476, 16294, 18452, 19336, 10778, 825, 476, 271, 2433, 3043, 454, 825, 476, 272, 2433, 3109, 454, 476, 27491, 8627, 912, 825, 901, 1982, 786, 2681, 1125, 3403, 5119, 676, 23454, 7755, 659, 1890, 2281, 883, 519, 1482, 2681, 563, 476, 29185, 476, 1948, 19461, 1242, 3403, 5119, 454, 476, 5119, 815, 20886, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 25662, 272, 267, 272, 267, 271, 267, 271, 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 ]

[ 282, 268, 272, 9368, 316, 315, 24189, 1422, 3847, 314, 276, 282, 10954, 13727, 1422, 2431, 7751, 454, 259, 343, 22174, 1422, 3847, 314, 276, 282, 10954, 13727, 1422, 2431, 7751, 454, 259, 343, 22174, 1422, 3847, 263, 276, 282, 10954, 13727, 1422, 2431, 7751, 454, 259, 343, 22174, 1422, 3847, 15631, 275, 282, 268, 272, 9368, 9385, 24189, 1422, 3847, 314, 276, 282, 10954, 13727, 1422, 2431, 7751, 0, 258, 7726, 281, 6496, 20943, 2045, 6052, 13773, 634, 23893, 2496, 6097, 547, 519, 960, 20589, 11532, 267, 519, 960, 2944, 593, 606, 1843, 676, 513, 2121, 3196, 11224, 519, 1689, 538, 15452, 1648, 540, 519, 1843, 780, 29973, 569, 15452, 1648, 568, 519, 1648, 1031, 585, 5163, 780, 19950, 5944, 267, 607, 960, 568, 2944, 593, 606, 1843, 267, 1761, 1648, 666, 581, 6740, 538, 602, 1843, 269, 780, 1012, 6904, 1383, 814, 519, 1034, 15452, 1648, 2496, 272, 269, 1323, 20987, 814, 513, 1804, 2179, 540, 15452, 1648, 538, 8184, 1813, 547, 922, 1804, 2527, 543, 3728, 6991, 269, 476, 273, 269, 589, 13836, 16207, 676, 513, 8486, 7815, 267, 4352, 2348, 513, 1507, 2527, 267, 666, 723, 513, 1804, 2179, 540, 15452, 1648, 1813, 547, 922, 3728, 6991, 780, 1012, 1548, 2188, 521, 1860, 15452, 1648, 2496, 272, 269, 11512, 602, 972, 616, 1079, 2188, 602, 1860, 875, 1454, 15452, 1648, 513, 3001, 1843, 786, 723, 281, 2527, 543, 3432, 269, 5620, 1053, 2347, 713, 17431, 547, 1451, 875, 2527, 7506, 606, 1843, 779, 15452, 1648, 780, 1012, 1548, 1281, 15452, 1648, 2333, 609, 2496, 2005, 7140, 856, 602, 606, 1843, 779, 15452, 1648, 4679, 607, 519, 4009, 540, 922, 3432, 269, 589, 1286, 3001, 476, 2412, 18890, 814, 2185, 2053, 607, 1454, 15452, 1648, 607, 835, 3001, 476, 736, 18890, 267, 1247, 693, 476, 2568, 18890, 513, 1286, 11438, 8370, 2053, 607, 1454, 15452, 1648, 607, 693, 476, 736, 18890, 269, 4935, 513, 16434, 2333, 538, 3432, 666, 2014, 513, 1804, 2333, 538, 15452, 1648, 780, 1012, 4208, 568, 960, 1689, 538, 15452, 1648, 2496, 763, 6240, 540, 960, 543, 15452, 1648, 630, 10193, 1634, 607, 519, 960, 20589, 11532, 264, 2829, 602, 519, 960, 2944, 676, 519, 2040, 540, 782, 4229, 9117, 593, 513, 9325, 11224, 519, 1689, 538, 519, 15452, 1648, 540, 519, 9325, 269, 2560, 634, 15452, 1648, 540, 519, 3625, 4679, 607, 513, 1267, 676, 519, 2179, 540, 960, 780, 1012, 1548, 568, 15452, 1648, 4542, 2496, 298, 514, 2045, 1648, 568, 2047, 14354, 547, 519, 2527, 540, 519, 1843, 543, 547, 519, 4009, 540, 922, 6991, 281, 918, 9950, 269, 815, 476, 272, 270, 273, 544, 642, 273, 269, 1403, 519, 2527, 814, 4559, 540, 13532, 543, 519, 6991, 540, 7397, 829, 2034, 267, 519, 15452, 1648, 814, 4559, 540, 13532, 2173, 4394, 16302, 829, 2034, 16302, 780, 1012, 1548, 666, 3247, 15452, 1648, 2496, 7230, 8221, 519, 15452, 1648, 666, 581, 12913, 676, 26632, 908, 519, 1648, 547, 519, 5790, 998, 11508, 610, 676, 14291, 621, 883, 1776, 1106, 540, 1648, 269, 634, 1034, 1455, 1826, 540, 29584, 568, 513, 7344, 20347, 799, 29620, 5163, 998, 11508, 20347, 21181, 780, 1012, 4208, 1281, 15452, 1648, 3251, 519, 1482, 2496, 763, 2040, 540, 1761, 1648, 543, 12550, 2675, 8084, 15452, 1648, 568, 1572, 7344, 1648, 543, 13978, 3586, 585, 513, 1062, 950, 972, 616, 1152, 15061, 4229, 630, 7224, 1875, 15926, 969, 894, 4229, 1040, 634, 811, 2527, 513, 3001, 1843, 814, 267, 519, 811, 15452, 1648, 621, 786, 4865, 693, 519, 1482, 3432, 780, 1012, 6496, 15452, 1648, 979, 1524, 2496, 6097, 547, 519, 4521, 540, 11094, 540, 6052, 267, 519, 2179, 540, 1648, 538, 513, 1062, 1590, 2141, 2611, 3586, 269, 1809, 649, 917, 602, 15452, 1648, 568, 13302, 543, 2810, 950, 649, 12235, 513, 3440, 538, 519, 2011, 780, 1012, 6496, 1689, 538, 15452, 1648, 3160, 960, 2496, 7659, 2474, 269, 4880, 960, 2944, 593, 606, 1843, 11224, 519, 1843, 779, 1689, 538, 15452, 1648, 269, 4746, 1572, 519, 960, 20589, 6240, 780, 1012, 6904, 1131, 723, 519, 1034, 15452, 1648, 2496, 2691, 606, 1843, 814, 519, 19845, 17129, 1761, 1648, 267, 621, 814, 519, 17834, 4306, 15452, 1648, 269, 0, 258, 2052, 596, 3142, 856, 519, 18232, 1535, 3586, 2496, 305, 24655, 7069, 20712, 454, 3674, 713, 3656, 286, 594, 10924, 602, 18232, 1535, 568, 513, 3586, 602, 568, 16042, 4642, 269, 1924, 594, 4547, 621, 856, 269, 1879, 594, 3576, 519, 12045, 267, 519, 18232, 1535, 666, 576, 1194, 856, 609, 519, 14009, 269, 1924, 594, 6415, 2451, 609, 519, 12045, 540, 519, 954, 326, 1537, 540, 535, 3287, 264, 609, 2463, 547, 3294, 269, 1924, 594, 6415, 9247, 3843, 547, 1265, 519, 2557, 540, 1689, 540, 519, 2040, 540, 782, 519, 535, 3287, 264, 2418, 799, 1058, 3160, 535, 3287, 6393, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 1862, 864, 282, 325, 3287, 6661, 261, 11898, 282, 323, 315, 842, 261, 11898, 282, 325, 3287, 6661, 261, 11898, 282, 325, 3287, 264, 5016, 1607, 3095, 1058, 960, 9745, 780, 8310, 12995, 676, 513, 15645, 1807, 1384, 1012, 12226, 543, 1234, 18680, 692, 300, 550, 528, 454, 3674, 713, 3656, 888, 5591, 269, 1280, 835, 3364, 267, 621, 781, 711, 4399, 18773, 1535, 259, 538, 519, 7533, 281, 621, 781, 15848, 269, 1280, 1776, 3364, 267, 1945, 602, 568, 3586, 3085, 1405, 1689, 267, 865, 621, 666, 1405, 581, 16042, 930, 1297, 563, 296, 10924, 602, 18232, 1535, 568, 513, 3586, 602, 568, 16042, 4642, 269, 1924, 594, 4547, 621, 856, 269, 1879, 594, 3576, 519, 12045, 267, 519, 18232, 1535, 666, 576, 1194, 856, 609, 519, 14009, 269, 1924, 594, 6415, 2451, 609, 519, 12045, 540, 519, 954, 326, 1537, 540, 535, 3287, 264, 609, 2463, 547, 3294, 269, 1924, 594, 6415, 9247, 3843, 547, 1265, 519, 2557, 540, 1689, 540, 519, 2040, 540, 782, 519, 535, 3287, 264, 2418, 799, 1058, 3160, 535, 3287, 6393, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 1862, 864, 282, 325, 3287, 6661, 261, 11898, 282, 323, 315, 842, 261, 11898, 282, 325, 3287, 6661, 261, 11898, 282, 325, 3287, 264, 5016, 1607, 3095, 1058, 960, 9745, 780, 8310, 12995, 676, 513, 15645, 1807, 912, 305, 24655, 7069, 20712, 692, 5591, 269, 1280, 835, 3364, 267, 621, 781, 711, 4399, 18773, 1535, 259, 538, 519, 7533, 281, 621, 781, 15848, 269, 1280, 1776, 3364, 267, 1945, 602, 568, 3586, 3085, 1405, 1689, 267, 865, 621, 666, 1405, 581, 16042, 930, 1297, 780, 28989, 267, 594, 6415, 14322, 602, 519, 1689, 538, 1535, 568, 16042, 4642, 269, 1924, 594, 556, 1399, 6244, 621, 1384, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 1862, 343, 6661, 261, 11898, 282, 315, 842, 261, 11898, 282, 325, 3287, 264, 261, 11898, 282, 284, 261, 11898, 282, 325, 3287, 264, 5016, 2252, 513, 3586, 1297, 666, 1405, 581, 16042, 930, 1297, 267, 1287, 1946, 666, 649, 946, 552, 543, 14039, 286, 4595, 538, 12719, 873, 649, 2141, 1935, 930, 1297, 4352, 711, 4642, 269, 594, 917, 602, 552, 815, 519, 3970, 540, 630, 272, 266, 337, 14672, 8203, 333, 607, 562, 4485, 20581, 269, 4208, 666, 1405, 594, 798, 519, 1482, 3364, 585, 513, 1599, 602, 4485, 4642, 2496, 8002, 1302, 3085, 1405, 15848, 3160, 4642, 538, 713, 9183, 888, 6097, 547, 9504, 834, 634, 4909, 14497, 540, 20145, 5016, 263, 3916, 527, 607, 554, 4485, 4642, 786, 1205, 519, 4890, 7533, 2020, 7617, 14687, 547, 519, 3113, 1336, 693, 454, 10674, 2517, 523, 25769, 3820, 28293, 22077, 1495, 4442, 318, 1492, 648, 332, 15058, 318, 20412, 639, 257, 1496, 29662, 5287, 6540, 4517, 952, 596, 1413, 693, 519, 3113, 454, 327, 815, 519, 31302, 1689, 538, 1535, 815, 15848, 815, 476, 271, 630, 933, 917, 689, 16755, 602, 554, 568, 4642, 2094, 621, 781, 31302, 2020, 8310, 12995, 676, 513, 15645, 1807, 912, 305, 24655, 7069, 20712, 454, 1432, 594, 1616, 547, 917, 568, 952, 713, 4661, 568, 3020, 912, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 286, 323, 315, 842, 261, 11898, 282, 325, 3287, 264, 261, 11898, 282, 284, 261, 11898, 282, 325, 3287, 264, 4840, 2005, 4667, 547, 1118, 2631, 602, 519, 12045, 540, 519, 4550, 12045, 540, 513, 1599, 568, 519, 1599, 630, 5976, 519, 17181, 540, 519, 595, 3586, 2020, 1432, 594, 1589, 602, 519, 3830, 909, 972, 9745, 3081, 568, 602, 519, 2557, 540, 1689, 540, 519, 2040, 540, 535, 3287, 264, 609, 2463, 547, 630, 325, 3287, 264, 6148, 286, 994, 268, 594, 1589, 713, 814, 547, 798, 609, 519, 6207, 12045, 610, 6207, 7533, 799, 594, 6415, 711, 1932, 2386, 827, 780, 5194, 1448, 594, 1810, 1405, 1174, 568, 519, 991, 585, 513, 15848, 693, 519, 1439, 540, 519, 7533, 269, 1548, 1131, 4755, 952, 649, 3576, 621, 1055, 286, 14348, 621, 711, 3274, 1689, 689, 1858, 883, 519, 2040, 540, 782, 519, 13080, 630, 325, 3287, 264, 262, 338, 264, 2496, 2252, 713, 568, 3020, 267, 1287, 1946, 1281, 519, 31302, 2557, 540, 1689, 540, 519, 2040, 540, 782, 519, 535, 3287, 264, 262, 338, 3160, 535, 3287, 264, 2496, 27887, 9016, 281, 7937, 267, 568, 621, 1317, 519, 535, 3287, 264, 568, 519, 4890, 3259, 1373, 3773, 693, 602, 8216, 256, 9747, 256, 31302, 2557, 540, 1689, 540, 519, 2040, 256, 11289, 596, 256, 2020, 1432, 952, 649, 1705, 519, 7533, 540, 535, 3287, 264, 4849, 649, 1016, 5523, 538, 17093, 3287, 264, 3079, 540, 15848, 888, 27887, 9016, 281, 8550, 332, 785, 519, 3948, 1657, 9745, 267, 519, 4845, 1657, 621, 4267, 621, 2433, 321, 1862, 2020, 8310, 12995, 676, 513, 15645, 1807, 912, 300, 550, 528, 692, 28989, 267, 594, 6415, 14322, 602, 519, 1689, 538, 1535, 568, 16042, 4642, 269, 1924, 594, 556, 1399, 6244, 621, 1384, 10674, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 1862, 343, 6661, 261, 11898, 282, 315, 842, 261, 11898, 282, 325, 3287, 264, 261, 11898, 282, 284, 261, 11898, 282, 325, 3287, 264, 5016, 2252, 513, 3586, 1297, 666, 1405, 581, 16042, 930, 1297, 267, 1287, 1946, 666, 649, 946, 552, 543, 14039, 888, 324, 543, 14039, 616, 21635, 267, 1454, 519, 1482, 607, 476, 273, 543, 476, 271, 616, 563, 7712, 538, 12719, 873, 649, 2141, 1935, 930, 1297, 4352, 711, 4642, 563, 296, 917, 602, 552, 815, 519, 3970, 540, 630, 272, 266, 337, 14672, 8203, 333, 607, 562, 4485, 20581, 563, 8002, 1302, 602, 3970, 4780, 2471, 547, 2144, 267, 711, 552, 269, 594, 1589, 596, 1522, 581, 14845, 1079, 1114, 1919, 281, 606, 4082, 602, 568, 4657, 630, 7945, 607, 630, 272, 1341, 678, 14672, 8203, 333, 607, 562, 2242, 267, 543, 519, 3970, 540, 602, 4082, 563, 3963, 666, 1405, 594, 798, 519, 1482, 3364, 585, 513, 1599, 602, 4485, 4642, 2496, 8002, 1302, 3085, 1405, 15848, 3160, 4642, 538, 713, 9183, 888, 5591, 563, 6097, 547, 9504, 834, 634, 4909, 14497, 540, 20145, 5016, 263, 3916, 527, 607, 554, 4485, 4642, 786, 1205, 519, 4890, 7533, 2020, 7617, 14687, 547, 519, 3113, 1336, 693, 454, 10674, 2517, 523, 25769, 3820, 28293, 22077, 1495, 4442, 318, 1492, 648, 332, 15058, 318, 20412, 639, 257, 1496, 29662, 5287, 6540, 4517, 952, 596, 1413, 693, 519, 3113, 454, 327, 815, 519, 31302, 1689, 538, 1535, 815, 15848, 815, 476, 271, 630, 933, 917, 689, 16755, 602, 554, 568, 4642, 2094, 621, 781, 31302, 2020, 4407, 621, 781, 3020, 602, 519, 12045, 540, 519, 1884, 3187, 29719, 540, 606, 2076, 571, 1076, 1599, 568, 519, 1599, 3294, 267, 519, 6169, 568, 811, 7294, 982, 1018, 596, 616, 3257, 780, 8310, 12995, 676, 513, 15645, 1807, 912, 305, 24655, 7069, 20712, 692, 324, 543, 14039, 616, 21635, 267, 1454, 519, 1482, 607, 476, 273, 543, 476, 271, 616, 563, 8002, 1302, 602, 3970, 4780, 2471, 547, 2144, 267, 711, 552, 269, 594, 1589, 596, 1522, 581, 14845, 1079, 1114, 1919, 281, 606, 4082, 602, 568, 4657, 630, 7945, 607, 630, 272, 1341, 678, 14672, 8203, 333, 607, 562, 2242, 267, 543, 519, 3970, 540, 602, 4082, 780, 296, 6415, 1210, 1496, 23169, 1535, 815, 15848, 316, 799, 568, 519, 4082, 630, 343, 273, 910, 1535, 272, 1040, 634 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 364, 26406, 490, 418, 493, 350, 418, 480, 357, 7511, 32512, 13200, 509, 12486, 16043, 495, 10524, 361, 16533, 484, 16533, 377, 20693, 505, 14756, 503, 418, 480, 357, 418, 493, 494, 28032, 505, 14395, 490, 419, 378, 492, 7511, 18777, 374, 24757, 8147, 23946, 370, 4970, 498, 32517, 507, 13644, 479, 420, 368, 357, 19404, 493, 23284, 9463, 488, 16583, 484, 28793, 11590, 353, 31801, 379, 12486, 30522, 353, 29072, 19867, 379, 13644, 374, 7511, 417, 354, 487, 419, 490, 362, 419, 366, 378, 419, 354, 508, 8147, 16043, 495, 10524, 361, 7511, 4970, 497, 4970, 504, 19540, 503, 19867, 489, 18998, 419, 510, 498, 419, 358, 370, 32512, 417, 495, 502, 25520, 21550, 350, 28098, 417, 495, 502, 421, 25693, 14756, 493, 13213, 485, 30837, 508, 27747, 372, 4970, 354, 21550, 376, 7511, 418, 489, 505, 420, 479, 502, 418, 369, 479, 31801, 489, 12486, 19867, 478, 20069, 19540, 503, 19867, 489, 421, 25693, 417, 379, 483, 421, 350, 375, 13644, 479, 13107, 492, 420, 485, 359, 26266, 365, 7511, 26166, 22909, 494, 25520, 418, 366, 509, 20881, 504, 420, 25693, 20693, 505, 23284, 9463, 488, 420, 489, 365, 24757, 418, 364, 368, 23946, 367, 8147, 23946, 370, 20881, 504, 13213, 485, 13200, 365, 16043, 495, 10524, 361, 7511, 420, 369, 482, 418, 371, 365, 419, 510, 498, 419, 358, 370, 32512, 417, 495, 502, 25520, 21550, 350, 28098, 417, 495, 502, 14756, 482, 14756, 485, 7511, 30837, 351, 13644, 499, 12486, 692, 1012, 30731, 28786, 19540, 503, 692, 21316, 25278, 476, 15159, 13601, 26175, 491, 17958, 30678, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 7511, 421, 360, 502, 26233, 356, 420, 25693, 13644, 511, 420, 357, 478, 12486, 14395, 481, 16533, 484, 18777, 350, 28997, 501, 18998, 23746, 25335, 484, 25060, 500, 25520, 419, 376, 500, 31801, 489, 421, 505, 484, 29873, 21928, 22047, 13107, 497, 30678, 12916, 379, 17958, 7511, 27064, 363, 417, 351, 481, 18809, 8147, 10429, 370, 18809, 25426, 362, 30903, 502, 25520, 25335, 352, 19540, 367, 25913, 418, 350, 486, 23284, 419, 484, 509, 418, 480, 487, 7511, 12255, 27730, 31033, 9463, 371, 23989, 419, 353, 374, 12486, 10429, 372, 417, 508, 489, 17958, 20881, 498, 25060, 483, 418, 489, 361, 16088, 12255, 27730, 25520, 18777, 350, 28997, 501, 28997, 501, 25622, 19764, 478, 9463, 495, 417, 375, 374, 418, 357, 350, 18998, 10524, 379, 419, 506, 509, 25520, 31308, 509, 417, 508, 489, 10254, 370, 30853, 12255, 29004, 362, 26166, 22909, 494, 18998, 26406, 351, 27381, 351, 25520, 23746, 25335, 484, 25060, 500, 26175, 495, 27730, 25520, 26266, 354, 31801, 489, 18713, 378, 25051, 351, 18021, 498, 17958, 31801, 489, 31365, 19764, 478, 9463, 495, 8147, 25060, 483, 418, 489, 361, 18713, 378, 25051, 351, 17958, 16043, 371, 419, 499, 490, 30837, 351, 22909, 482, 417, 375, 374, 21316, 25278, 476, 15159, 22047, 11590, 353, 11590, 496, 19764, 493, 419, 367, 375, 14756, 509, 8147, 10429, 370, 417, 509, 374, 10951, 361, 12255, 29004, 362, 30317, 27381, 510, 15159, 22047, 21251, 421, 506, 478, 28884, 14756, 368, 18021, 355, 7511, 12255, 14756, 482, 12486, 30244, 12916, 379, 418, 480, 357, 23746, 23284, 25335, 352, 19540, 367, 18777, 372, 14035, 504, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 25426, 362, 30903, 502, 8147, 16533, 353, 10429, 370, 15159, 421, 480, 352, 11590, 505, 10429, 371, 20069, 419, 509, 358, 421, 502, 369, 25520, 12571, 495, 19404, 493, 10429, 361, 19764, 493, 7511, 25426, 362, 30903, 502, 8147, 26033, 490, 9463, 359, 421, 506, 478, 17958, 595, 476, 16043, 500, 10783, 3757, 22614, 511, 487, 21550, 485, 19404, 493, 30837, 508, 11590, 353, 11590, 496, 19764, 493, 13644, 511, 420, 357, 478, 419, 376, 500, 19540, 503, 31801, 489, 31365, 19867, 478, 421, 506, 478, 7511, 28793, 25426, 368, 7511, 13601, 16533, 493, 421, 481, 357, 26166, 12486, 21316, 25278, 476, 12571, 491, 26175, 364, 28786, 23989, 419, 509, 358, 421, 502, 369, 14395, 508, 421, 359, 490, 14395, 353, 12486, 21316, 25278, 476, 31006, 10254, 507, 7511, 419, 376, 500, 19540, 503, 25203, 362, 7511, 15159, 418, 493, 494, 28032, 505, 28098, 13200, 365, 700, 2562, 303, 19272, 13127, 23687, 661, 3041, 303, 19272, 28859, 350, 373, 25203, 362, 19764, 478, 9463, 495, 7511, 419, 509, 358, 421, 502, 369, 420, 377, 363, 10524, 370, 7511, 420, 377, 375, 23521, 378, 18777, 379, 25426, 362, 8147, 30244, 4970, 353, 14748, 421, 350, 373, 25203, 362, 10429, 365, 12571, 490, 28786, 23989, 29072, 419, 509, 358, 421, 502, 369, 18777, 350, 28997, 501, 420, 377, 363, 10524, 370, 7511, 31006, 13161, 364, 418, 488, 478, 10951, 363, 12486, 21316, 25278, 476, 14756, 493, 13213, 485, 14035, 504, 23946, 368, 7511, 9463, 495, 31271, 499, 8147, 23523, 501, 28996, 29072, 18777, 372, 14035, 504, 17958, 16043, 371, 7511, 418, 488, 499, 24662, 12486, 21928, 27962, 27730, 27064, 363, 417, 351, 481, 18809, 8147, 14395, 481, 15159, 12255, 27730, 18998, 26266, 354, 31801, 489, 25520, 26175, 495, 27730, 24662, 25426, 357, 25520, 421, 360, 502, 419, 374, 356, 13644, 378, 31801, 489, 7511, 21550, 485, 16583, 484, 10533, 503, 27730, 26266, 354, 10429, 371, 12486, 21928, 26266, 354, 4970, 504, 30903, 484, 417, 509, 509, 8147, 21316, 25278, 476, 15159, 421, 360, 502, 10533, 486, 419, 510, 498, 419, 358, 370, 18998, 19764, 478, 9463, 495, 25520, 26166, 22909, 494, 7511, 421, 355, 500, 20881, 487, 26266, 354, 10429, 371, 12486, 21316, 25278, 476, 10429, 371, 20069, 13601, 419, 367, 375, 28578, 26175, 364, 20992, 26266, 354, 10429, 371, 28997, 365, 7511, 29830, 373, 27936, 30678, 18021, 498, 17958, 31801, 489, 31365, 7511, 25335, 352, 19540, 367, 25913, 418, 350, 486, 12486, 28098, 30678, 27962, 14035, 504, 12255, 30731, 476, 17958, 16043, 371, 23521, 354, 13644, 368, 30837, 508, 27747, 372, 19404, 491, 28884, 8147, 26266, 354, 10429, 371, 28997, 365, 10429, 479, 18777, 372, 418, 480, 357, 27730, 18263, 510, 18021, 498, 17958, 4970, 497, 4970, 504, 418, 488, 478, 10951, 363, 12486, 26266, 354, 10429, 371, 28997, 365, 15159, 30731, 13127, 485, 30936, 27818, 300, 476, 24757, 10524, 370, 24724, 7511, 14756, 376, 12571, 486, 421, 505, 484, 12571, 486, 8147, 23746, 19867, 358, 31271, 499, 30731, 22614, 492, 363, 417, 351, 481, 23284, 25335, 352, 19540, 367, 29830, 373, 27936, 32352, 10254, 360, 7511, 25426, 362, 30903, 502, 12486, 23746, 17958, 26266, 354, 10429, 371, 28997, 365, 7511, 30903, 484, 417, 509, 509, 25060, 483, 418, 489, 361, 32517, 350, 9463, 371, 14035, 482, 419, 494, 484, 18998, 26406, 356, 10254, 370, 419, 367, 375, 14756, 509, 18998, 419, 354, 508, 14756, 493, 419, 377, 495, 14756, 506, 18998, 418, 357, 350, 419, 367, 488, 20881, 375, 20001, 495, 18998, 16533, 493, 21796, 351, 18998, 10524, 379, 419, 506, 509, 419, 511, 487, 12486, 692, 16829, 593, 595, 20975, 281, 21579, 7204, 7869, 267, 17276, 488, 377, 21550, 371, 419, 494, 484, 18777, 374, 267, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 267, 476, 14756, 509, 18777, 350, 28786, 26033, 481, 692, 1012, 1285, 520, 652, 12814, 27747, 362, 418, 480, 357, 20881, 504, 13213, 485, 26033, 481, 13644, 499, 692, 822, 520, 652, 12814, 7511, 12571, 482, 14748, 27730, 26175, 495, 4970, 497, 14395, 370, 26266, 366, 27747, 362, 29072, 27730, 13200, 509, 421, 350, 374, 10254, 358, 20881, 504, 13213, 485, 20001, 378, 31968, 22287, 481, 17295, 374, 26033, 481, 13644, 499, 12486, 16043, 495, 10524, 361, 32517, 507, 13644, 479, 418, 480, 357, 417, 379, 360, 20881, 509, 16583, 484, 28793, 14395, 490, 29873, 12571, 482, 28793, 421, 499, 379, 25520, 32352, 417, 508, 489, 7511, 26033, 481, 13644, 499, 8147, 25060, 483, 418, 489, 361, 514, 1362, 18998, 339, 820, 1753, 18998, 26020, 18998, 2889, 2758, 12486, 19540, 503, 19867, 489, 10533, 368, 419, 494, 484, 12571, 482, 21550, 371, 7511, 420, 369, 482, 418, 374, 494, 23521, 354, 16043, 500, 418, 490, 487, 419, 483, 356, 418, 480, 357, 27730, 21550, 350, 7511, 420, 369, 482, 13161, 503, 10533, 503, 418, 480, 357, 8147, 10254, 505, 20881, 510, 418, 357, 350, 418, 489, 509, 13644, 499, 30903, 502, 8147, 418, 493, 494, 28032, 505, 19867, 478, 20069, 7511, 25426, 362, 30903, 502, 28032, 489, 31878, 8147, 23284, 32517, 507, 13644, 479, 418, 480, 357, 21928, 419, 506, 509, 14395, 508, 26033, 481, 13644, 499, 18809, 9463, 500, 23523, 501, 7511, 20881, 504, 13213, 485, 27064, 485, 15159, 5952, 260, 23284, 31968, 12486, 417, 28187, 31563, 418, 480, 357, 20069, 22287, 367, 16533, 484, 28996, 23521, 354, 7511, 30006, 493, 417, 495, 357, 18998, 11858, 352, 26033, 481, 18998, 10951, 509, 18809, 16043, 500, 10951, 509, 10951, 360, 26033, 481, 13644, 499, 8147, 16043, 495, 10524, 361, 421, 25693, 420, 25693, 27747, 362, 20693, 358, 418, 480, 357, 5405, 479, 692, 1892, 31006, 417, 379, 360, 1321, 16533, 493, 28793, 11590, 353, 10524, 502, 692, 1892, 1220, 266, 29635, 489, 365, 13644, 511, 30006, 491, 13644, 511, 21382, 376, 27747, 486, 692, 1892, 3583, 26166, 23284, 31284, 10429, 357, 30903, 507, 20881, 478, 418, 361, 378, 692, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 418, 488, 377, 21550, 371, 419, 494, 484, 18777, 374, 28786, 26033, 481, 21579, 7204, 7869, 28786, 19540, 503, 31340, 24655, 28081, 906, 540, 19590, 692, 21902, 1738, 10386, 666, 581, 5701, 607, 590, 11965, 310, 3036, 10386, 952, 519, 11460, 540, 519, 4559, 538, 519, 2551, 568, 4351, 269, 1924, 267, 8156, 519, 5697, 9836, 3732, 1269, 338, 259, 607, 606, 590, 11965, 310, 3036, 3732, 540, 2450, 1269, 333, 8961, 519, 13065, 540, 519, 9836, 3732, 1611, 1269, 309, 3709, 338, 962, 4151, 666, 581, 6059, 607, 454, 3602, 1269, 325, 284, 333, 1315, 715, 259, 543, 1269, 338, 29192, 24472, 317, 273, 7807, 8999, 3709, 328, 1422, 514, 521, 4153, 3847, 26635, 10983, 10559, 8663, 3189, 24472, 12917, 338, 9385, 2431, 11892, 273, 1315, 263, 333, 268, 272, 7751, 563, 763, 3934, 1807, 4399, 4204, 1002, 28452, 20731, 272, 259, 15824, 1134, 952, 519, 11460, 540, 519, 4559, 568, 4351, 267, 1775, 4318, 1421, 952, 1100, 7678, 610, 13350, 640, 538, 519, 12417, 540, 519, 4559, 26251, 269, 1717, 267, 952, 519, 11460, 540, 519, 4559, 568, 971, 602, 519, 9836, 10386, 568, 811, 3608, 982, 590, 11965, 310, 3036, 10386, 267, 1287, 4399, 4204, 1002, 28452, 20731, 272, 259, 6157, 21467, 560, 23660, 519, 13065, 269, 2201, 519, 824, 1688, 267, 4399, 4204, 1002, 28452, 20731, 272, 259, 19765, 23660, 519, 13065, 952, 538, 4641, 9836, 10386, 568, 1447, 3608, 982, 590, 11965, 310, 3036, 780, 1805, 7806, 1881, 6341, 7204, 2060, 2290, 5149, 3131, 5899, 23628, 692, 21902, 1738, 10386, 14404, 5809, 519, 2551, 883, 1269, 330, 259, 31324, 1142, 540, 2450, 1269, 333, 10608, 2913, 1269, 333, 259, 581, 1256, 543, 3160, 547, 1269, 273, 7117, 10608, 3767, 2015, 519, 4559, 18159, 337, 267, 678, 266, 330, 7751, 607, 513, 14404, 1881, 3732, 540, 2450, 476, 273, 5697, 676, 519, 590, 11965, 310, 3036, 1505, 689, 513, 14404, 636, 16030, 519, 1101, 1269, 273, 737, 259, 4559, 642, 714, 269, 1269, 272, 267, 1422, 24126, 267, 476, 273, 737, 6902, 263, 337, 266, 273, 737, 267, 678, 266, 274, 737, 7751, 607, 513, 14404, 1881, 3732, 540, 2450, 476, 273, 689, 513, 14404, 636, 16030, 519, 1985, 1269, 273, 737, 259, 642, 714, 269, 1269, 273, 737, 266, 272, 267, 1422, 24126, 267, 476, 275, 737, 259, 282, 538, 2489, 267, 4559, 20270, 337, 266, 273, 27203, 268, 272, 264, 737, 267, 678, 23444, 273, 795, 268, 272, 264, 737, 4151, 607, 513, 14404, 1881, 3732, 540, 2450, 476, 273, 689, 519, 1269, 329, 259, 555, 14404, 636, 16030, 4559, 1269, 273, 27203, 268, 272, 264, 737, 266, 272, 267, 1422, 24126, 267, 476, 273, 795, 737, 6902, 795, 284, 272, 267, 1422, 24126, 267, 7117, 10608, 1323, 16977, 7447, 540, 1269, 309, 3709, 338, 962, 4151, 568, 5833, 607, 454, 11377, 4204, 1002, 28452, 348, 273, 7807, 2765, 18950, 272, 1922, 20972, 333, 317, 273, 348, 1422, 8999, 346, 329, 284, 272, 8703, 333, 1315, 476, 273, 348, 1422, 23169, 19553, 317, 273, 16465, 3602, 4399, 23169, 19553, 284, 344, 3709, 337, 23444, 273, 795, 268, 272, 264, 737, 18511, 344, 3709, 337, 266, 273, 27203, 268, 272, 264, 737, 31859, 1012, 476, 14756, 509, 18777, 350, 28786 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 14273, 454, 290, 264, 2504, 4058, 454, 291, 264, 6908, 23164, 519, 2504, 1184, 454, 7617, 540, 519, 1739, 1655, 6257, 1434, 23332, 5773, 888, 288, 264, 1358, 2333, 7607, 563, 289, 264, 1358, 11179, 6166, 519, 4398, 540, 519, 3135, 4087, 563, 290, 264, 1358, 2569, 4420, 6352, 1815, 802, 563, 291, 264, 1358, 2327, 519, 8244, 540, 2877, 2326, 538, 513, 12905, 6752, 563, 7617, 540, 519, 1739, 568, 513, 3730, 1907, 585, 23332, 267, 1141, 2504, 9946, 834, 14090, 257, 519, 2095, 689, 14273, 998, 519, 12051, 547, 5561, 888, 288, 264, 1871, 3613, 3195, 11837, 454, 289, 264, 8905, 14839, 454, 290, 264, 2504, 5750, 532, 454, 291, 264, 4420, 331, 2940, 1188, 8446, 0, 7617, 540, 519, 11374, 3004, 1080, 31692, 8460, 13229, 24285, 689, 4033, 454, 7617, 540, 519, 1739, 7592, 30193, 2500, 3401, 689, 824, 1004, 888, 291, 264, 16710, 7146, 20820, 10182, 454, 2026, 513, 5718, 16023, 267, 1345, 21873, 568, 1034, 2693, 547, 912, 288, 264, 948, 513, 6205, 2057, 22303, 563, 289, 264, 32561, 513, 6205, 781, 7145, 563, 290, 264, 1128, 650, 19969, 543, 17258, 538, 513, 6205, 563, 291, 264, 1450, 513, 6205, 547, 7753, 9465, 563, 292, 264, 5512, 3401, 547, 581, 811, 25644, 30062, 563, 19931, 3401, 723, 1044, 3254, 547, 4865, 513, 1164, 1377, 540, 6791, 827, 741, 6080, 267, 1260, 3966, 625, 25467, 4143, 2930, 6927, 20136, 16023, 568, 5219, 547, 607, 12223, 563, 288, 264, 1702, 540, 519, 1870, 454, 289, 264, 2789, 4987, 454, 290, 264, 4274, 5718, 454, 291, 264, 16048, 6392, 454, 292, 264, 1201, 5166, 1379, 454, 27702, 1935, 568, 513, 5718, 5133, 602, 8942, 547, 2697, 1018, 2500, 3401, 798, 543, 3947, 1447, 2956, 547, 7209, 4162, 269, 0, 1103, 513, 5530, 2334, 22702, 3828, 1231, 547, 1133, 22366, 623, 4202, 540, 4841, 454, 1103, 513, 1353, 602, 3379, 21054, 547, 20775, 8424, 540, 1053, 267, 945, 941, 519, 1482, 2085, 543, 3023, 267, 519, 20775, 8424, 540, 1053, 941, 454, 288, 264, 531, 2865, 607, 7567, 607, 519, 21054, 563, 289, 264, 332, 1276, 1447, 7567, 982, 519, 21054, 563, 290, 264, 3467, 7567, 982, 519, 21054, 563, 291, 264, 3467, 12592, 547, 1265, 10486, 982, 519, 21054, 941, 563, 1103, 513, 1353, 602, 3379, 21054, 547, 20775, 8424, 540, 1053, 267, 945, 941, 519, 1482, 2085, 543, 3023, 267, 519, 20775, 8424, 540, 1053, 941, 3592, 607, 7567, 607, 519, 21054, 269, 4322, 20775, 8424, 1185, 2147, 2797, 4978, 267, 7574, 4690, 267, 3909, 7375, 267, 2816, 12583, 267, 12348, 267, 543, 5172, 3536, 269, 4322, 20775, 1053, 941, 865, 2147, 1317, 454, 288, 264, 1492, 1053, 538, 519, 1353, 2965, 941, 2147, 538, 741, 4719, 1118, 5346, 563, 289, 264, 16269, 941, 5697, 998, 5773, 602, 941, 21678, 538, 3870, 540, 519, 1647, 1362, 563, 290, 264, 15161, 540, 519, 1482, 2085, 543, 3023, 2661, 538, 519, 1482, 3140, 2053, 543, 2824, 689, 2147, 6848, 3681, 563, 291, 264, 1492, 8424, 540, 21054, 941, 865, 4744, 25630, 602, 519, 20775, 8424, 540, 1053, 7902, 1360, 2147, 547, 1142, 824, 538, 6476, 563, 10303, 1004, 540, 519, 1482, 2085, 543, 3023, 2661, 538, 519, 1482, 3140, 2053, 543, 2824, 689, 2147, 6848, 3681, 2676, 288, 264, 684, 22366, 8424, 540, 1053, 540, 519, 1482, 2085, 543, 3023, 786, 2408, 1360, 4744, 25630, 593, 1034, 7592, 563, 289, 264, 9767, 786, 1265, 1896, 1453, 609, 519, 1482, 1101, 2012, 538, 5176, 1169, 10026, 4928, 563, 290, 264, 18244, 538, 2221, 781, 10026, 13460, 616, 3648, 811, 3309, 982, 519, 1453, 538, 519, 10026, 3506, 540, 476, 2004, 1296, 3516, 563, 291, 264, 13512, 1231, 556, 1563, 6306, 786, 2141, 581, 3648, 811, 2147, 982, 20775, 8424, 540, 1053, 563, 763, 834, 600, 5074, 10486, 257, 540, 9838, 21054, 949, 581, 513, 1267, 540, 454, 288, 264, 1492, 2887, 2329, 540, 2318, 8320, 563, 289, 264, 23437, 756, 4733, 13587, 527, 676, 519, 21054, 563, 290, 264, 23437, 756, 4733, 13587, 527, 676, 519, 3173, 563, 291, 264, 1492, 4446, 11133, 1198, 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 ]

[ 0, 5228, 28184, 5793, 1104, 27661, 5228, 7510, 32353, 1104, 13334, 19638, 3698, 9041, 30720, 10031, 825, 1219, 8281, 10031, 1038, 2119, 912, 2018, 29250, 815, 13334, 19304, 10857, 1074, 10947, 3890, 4917, 2018, 3381, 815, 29250, 269, 6894, 338, 8807, 1009, 4590, 2018, 3381, 6155, 5877, 4590, 2018, 22443, 20172, 267, 1257, 8782, 12606, 539, 3299, 535, 326, 8782, 13582, 3299, 13944, 8782, 25106, 476, 736, 12050, 262, 1040, 2897, 3287, 284, 8182, 267, 586, 284, 9610, 994, 1038, 4849, 912, 2018, 1820, 3488, 3299, 754, 284, 5257, 2020, 825, 3597, 815, 570, 330, 4590, 825, 3597, 269, 613, 5852, 3488, 4335, 343, 1220, 5073, 825, 3597, 269, 637, 14184, 263, 271, 267, 476, 271, 994, 825, 3597, 26644, 3488, 2791, 12564, 8281, 518, 642, 269, 271, 269, 272, 17210, 825, 22443, 20172, 267, 1257, 8782, 2791, 12564, 3381, 4647, 518, 3299, 13944, 8782, 25106, 476, 736, 12050, 262, 1040, 17569, 4590, 825, 3095, 815, 21642, 309, 541, 4590, 825, 22443, 20172, 267, 1257, 8782, 303, 4292, 1257, 1934, 281, 22207, 13944, 8782, 25106, 476, 1428, 12050, 262, 1040, 17569, 4590, 825, 3095, 318, 10938, 815, 28678, 20172, 267, 8700, 284, 3583, 267, 1257, 19702, 762, 284, 15062, 1040, 17569, 10797, 825, 29502, 20172, 267, 1257, 8782, 12606, 3299, 13944, 8782, 25106, 476, 1428, 12050, 3299, 536, 326, 8782, 13582, 3299, 14950, 343, 284, 277, 267, 4971, 284, 12606, 1040, 2897, 3287, 284, 5197, 267, 586, 284, 1911, 994, 825, 3597, 6230, 664, 31467, 30800, 318, 30720, 4590, 0, 427, 375, 379, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 11133, 1499, 815, 29129, 3698, 1599, 4407, 6600, 1400, 267, 1651, 337, 2187, 825, 585, 1775, 538, 2039, 263, 271, 267, 3803, 267, 1651, 337, 2187, 1038, 1820, 834, 4263, 519, 1283, 1775, 568, 4939, 323, 257, 4939, 1775, 454, 1038, 2338, 6910, 9217, 2020, 1038, 1775, 6834, 1651, 337, 454, 1038, 1820, 834, 301, 13246, 1631, 281, 14307, 2338, 8931, 1038, 1820, 834, 4263, 519, 5377, 1775, 568, 4939, 323, 257, 4939, 1775, 692, 10818, 4407, 263, 277, 267, 476, 273, 994, 2745, 834, 763, 2338, 281, 4840, 1721, 1003, 538, 2338, 912, 825, 1820, 1003, 0, 26611, 23591, 24800, 19841, 341, 9226, 3097, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 3097, 258, 7711, 11742, 2433, 476, 1001, 280, 270, 279, 270, 2537, 476, 280, 281, 2412, 7537, 3097, 258, 7711, 12041, 2433, 962, 1075, 1156, 3097, 258, 7711, 17572, 2433, 17130, 275, 32707, 8553, 318, 13233, 318, 14503, 698, 318, 19370, 18258, 3097, 258, 7711, 25413, 2264, 281, 12877, 2419, 1301, 7531, 12163, 11693, 606, 3403, 5044, 9967, 593, 1152, 476, 271, 267, 476, 272, 267, 543, 476, 273, 267, 4990, 519, 5044, 538, 513, 2582, 21986, 531, 563, 2791, 2811, 711, 4847, 547, 946, 1022, 18570, 1599, 602, 5124, 2488, 780, 9616, 281, 744, 3799, 264, 1281, 711, 8209, 1611, 2582, 13652, 951, 531, 563, 324, 3052, 269, 952, 596, 29906, 519, 5044, 7466, 267, 602, 1131, 1869, 581, 606, 744, 3799, 264, 3070, 855, 621, 786, 711, 1293, 607, 2582, 21986, 531, 563, 20701, 454, 258, 4528, 476, 272, 267, 1942, 811, 18682, 576, 6988, 454, 3698, 4990, 318, 23713, 24449, 272, 9272, 8217, 2187, 825, 8173, 825, 9717, 606, 3403, 5044, 9967, 593, 1152, 476, 271, 267, 476, 272, 267, 543, 476, 273, 267, 4990, 519, 5044, 538, 513, 2582, 21986, 531, 780, 825, 1488, 7714, 912, 11434, 3403, 8217, 17338, 2567, 5903, 547, 581, 15044, 454, 825, 8173, 825, 1592, 272, 267, 1592, 273, 267, 1592, 274, 815, 1592, 19572, 1592, 19572, 1592, 4590, 825, 585, 1775, 538, 3403, 8217, 912, 1038, 952, 1775, 2652, 476, 271, 912, 2018, 1592, 272, 6910, 9217, 994, 1038, 8640, 1775, 2652, 476, 272, 912, 2018, 1592, 273, 6910, 9217, 994, 1038, 8640, 1775, 2652, 476, 273, 912, 2018, 1592, 274, 6910, 9217, 2020, 825, 2132, 1592, 272, 1341, 1592, 273, 1341, 1592, 274, 7531, 258, 4528, 476, 273, 2073, 321, 21392, 3070, 454, 3698, 4990, 318, 23713, 9272, 8217, 2187, 825, 8173, 825, 634, 2856, 568, 547, 2322, 476, 271, 543, 476, 273, 538, 741, 2953, 7158, 267, 799, 786, 1118, 2386, 454, 825, 782, 519, 476, 272, 338, 616, 8850, 5116, 538, 741, 1318, 7158, 454, 825, 8173, 825, 1948, 3355, 1125, 31452, 585, 1985, 7158, 540, 476, 271, 543, 476, 273, 454, 825, 1985, 29223, 318, 271, 815, 476, 271, 454, 825, 1985, 29223, 318, 273, 815, 7003, 9272, 8217, 264, 910, 476, 272, 692, 825, 4395, 16229, 815, 476, 271, 692, 825, 1247, 4395, 16229, 10922, 1985, 29223, 318, 273, 912, 1038, 952, 3403, 8217, 314, 12506, 16229, 316, 2652, 476, 271, 912, 2018, 3403, 8217, 314, 12506, 16229, 316, 815, 3403, 8217, 314, 10113, 29223, 318, 271, 2639, 2018, 3403, 8217, 314, 10113, 29223, 318, 271, 316, 815, 476, 271, 454, 2018, 1985, 29223, 318, 271, 6834, 476, 272, 454, 2018, 4395, 16229, 6834, 476, 272, 454, 1038, 8640, 3403, 8217, 314, 12506, 16229, 316, 2652, 476, 273, 912, 2018, 3403, 8217, 314, 12506, 16229, 316, 815, 3403, 8217, 314, 10113, 29223, 318, 273, 2639, 2018, 3403, 8217, 314, 10113, 29223, 318, 273, 316, 815, 476, 273, 454, 2018, 1985, 29223, 318, 273, 20699, 476, 272, 454, 1038, 3116, 912, 2018, 4395, 16229, 6834, 476, 272, 454, 825, 2132, 3403, 8217, 7531, 3698, 1449, 6958, 4233, 6025, 652, 6831, 848, 2187, 825, 15044, 24512, 815, 4990, 318, 23713, 24449, 272, 6025, 652, 6831, 848, 994, 825, 1820, 4433, 9285, 24512, 994, 825, 952, 15044, 24512, 2652, 15044, 6025, 652, 6831, 848, 2187, 1038, 1820, 2891, 27879, 5602, 825, 3116, 912, 1038, 1820, 2891, 293, 841, 257, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 4530, 272, 2073, 6316, 2013, 281, 8900, 3403, 1592, 267, 1058, 2132, 11713, 825, 1449, 6958, 4233, 8443, 20285, 825, 1948, 4530, 273, 2073, 6316, 2013, 281, 1152, 814, 1079, 540, 519, 4397, 2609, 454, 825, 1449, 6958, 4233, 8443, 271, 267, 476, 271, 267, 476, 273, 267, 476, 273, 267, 476, 273, 20285, 825, 1948, 4530, 274, 2073, 2489, 1449, 454, 825, 1449, 6958, 4233, 8443, 271, 267, 476, 271, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 273, 7481, 825, 1449, 6958, 4233, 8443, 273, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 272, 7481, 825, 1449, 6958, 4233, 8443, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 273, 267, 476, 273, 7481, 0, 5814, 20956, 273, 1477, 5814, 11885, 607, 5286, 5897, 258, 299, 1933, 3312, 3239, 1477, 13092, 815, 20956, 273, 269, 574, 1348, 3488, 322, 318, 273, 27970, 20298, 29764, 273, 269, 574, 19651, 3488, 13092, 318, 13548, 3299, 13092, 10142, 258, 935, 3200, 3239, 547, 1178, 903, 7051, 1477, 326, 2001, 815, 20956, 273, 6983, 26404, 21760, 263, 13092, 267, 20956, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 3418, 29764, 273, 269, 574, 19651, 3488, 6588, 903, 7051, 3239, 3299, 326, 2001, 3418, 29764, 273, 269, 574, 31095, 2891, 6588, 903, 7051, 318, 13548, 27970, 2580, 326, 2001, 10142, 258, 14725, 666, 5500, 6316, 7020, 1477, 539, 2471, 815, 20956, 273, 5861, 15967, 14116, 2001, 267, 1789, 267, 3445, 3418, 29764, 273, 269, 574, 19651, 2891, 10955, 2471, 2580, 8728, 3418, 29764, 273, 269, 574, 31095, 2891, 539, 2471, 27970, 2580, 539, 2471, 10142, 258, 22772, 32725, 543, 2721, 32725, 1477, 574, 273, 267, 32725, 267, 15796, 284, 20956, 273, 26098, 6944, 2293, 263, 539, 2471, 22698, 341, 273, 269, 3918, 15045, 318, 307, 12767, 22698, 341, 273, 5861, 11190, 2562, 318, 4338, 24165, 311, 318, 10485, 6573, 4041, 3418, 29764, 273, 6155, 3863, 6944, 2293, 263, 13092, 267, 4186, 2293, 16427, 272, 267, 263, 271, 267, 14838, 267, 271, 1070, 273, 3418, 29764, 273, 269, 574, 19651, 3488, 4186, 712, 3299, 13092, 3418, 29764, 273, 269, 574, 31095, 2891, 4186, 712, 27970, 2580, 13092, 10142, 258, 9526, 513, 3808, 532, 13551, 1472, 519, 1843, 1477, 322, 660, 815, 32725, 314, 271, 15947, 343, 11971, 267, 342, 267, 327, 815, 20956, 273, 12500, 15929, 305, 624, 6262, 660, 3418, 19112, 815, 20956, 273, 269, 5550, 4120, 263, 13092, 267, 263, 343, 11971, 32140, 343, 266, 342, 11971, 266, 327, 32140, 271, 267, 271, 267, 14838, 1070, 274, 3418, 29764, 273, 269, 574, 19651, 3488, 321, 15929, 305, 624, 3299, 13092, 3418, 29764, 273, 269, 574, 31095, 2891, 321, 15929, 305, 624, 27970, 2580, 13092, 10142, 29764, 273, 9884, 7159, 7659, 263, 271, 3418, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 14052, 0, 1029, 10461, 1029, 815, 1412, 329, 916, 2692, 262, 1477, 5814, 11885, 607, 5286, 5897, 5228, 4351, 1104, 28219, 842, 5897, 258, 3367, 909, 593, 1230, 3118, 262, 10794, 540, 5020, 693, 1477, 258, 567, 4179, 2517, 523, 25769, 3820, 28293, 270, 3519, 3118, 260, 2767, 338, 318, 29228, 15058, 318, 16908, 1477, 258, 9978, 3652, 6769, 258, 567, 476, 272, 264, 589, 1591, 568, 838, 1177, 2740, 952, 621, 729, 4666, 855, 814, 476, 274, 2661, 12543, 1477, 258, 567, 476, 273, 264, 589, 2661, 1591, 10523, 952, 621, 814, 7864, 982, 1079, 2661, 12543, 1477, 258, 567, 476, 274, 264, 589, 2661, 1591, 2729, 547, 519, 1985, 5108, 952, 621, 814, 1079, 610, 1477, 258, 11434, 1614, 2661, 12543, 1477, 258, 567, 476, 275, 264, 589, 2661, 1591, 10523, 952, 621, 814, 811, 982, 1614, 2661, 12543, 24653, 5035, 10794, 24998, 8029, 825, 5727, 1477, 825, 1323, 1843, 799, 6585, 519, 3014, 1533, 543, 814, 930, 2409, 585, 22392, 1477, 825, 621, 269, 901, 2882, 5329, 3950, 540, 2661, 2281, 593, 519, 4604, 267, 838, 27681, 1007, 1477, 825, 2281, 267, 6146, 4666, 2281, 267, 543, 12055, 908, 519, 3014, 23228, 825, 5727, 1477, 825, 1219, 6449, 8181, 9191, 1345, 267, 2450, 267, 1449, 25716, 8029, 1038, 5727, 1477, 1038, 19461, 1125, 519, 3014, 676, 2870, 513, 10145, 4604, 609, 1100, 2661, 2281, 23228, 1038, 2433, 12407, 2450, 281, 634, 2450, 540, 519, 4604, 267, 799, 568, 513, 4009, 1477, 1038, 2433, 8873, 281, 7183, 1477, 1038, 5727, 1477, 1038, 1582, 25915, 815, 2450, 1477, 1038, 1582, 269, 4580, 815, 5286, 25910, 9230, 21653, 267, 2450, 1070, 546, 6943, 284, 12639, 269, 842, 3418, 1038, 1582, 7456, 633, 15575, 815, 476, 271, 1477, 1038, 1582, 26716, 6548, 290, 20635, 815, 1496, 15947, 1038, 1582, 269, 3438, 19617, 815, 476, 271, 1477, 1038, 952, 1449, 6769, 2018, 585, 1535, 538, 2039, 4433, 1125, 8029, 3546, 585, 586, 538, 2039, 4433, 1125, 8029, 7386, 1591, 11749, 815, 28219, 842, 263, 271, 267, 272, 3418, 7386, 1582, 269, 4580, 314, 344, 267, 1535, 316, 815, 1591, 11749, 1477, 7386, 1582, 7456, 633, 15575, 6834, 1591, 11749, 1477, 7386, 952, 1591, 11749, 2652, 476, 272, 281, 1582, 26716, 6548, 290, 20635, 6910, 9230, 343, 267, 586, 264, 10142, 825, 1219, 1007, 14682, 877, 4311, 8029, 1038, 5727, 1477, 1038, 1763, 564, 519, 3014, 676, 4642, 532, 856, 519, 4604, 543, 2661, 1591, 4831, 23228, 1038, 2433, 8873, 281, 7183, 1477, 1038, 5727, 1477, 1038, 1582, 269, 4580, 815, 5286, 25910, 9230, 1345, 25915, 267, 1582, 25915, 17903, 1038, 1582, 7456, 633, 15575, 815, 476, 271, 1477, 1038, 1582, 269, 3438, 19617, 815, 476, 271, 5897, 825, 1219, 9041, 13765, 318, 1721, 318, 5158, 4311, 267, 1064, 311, 267, 1064, 312, 8029, 1038, 5727, 1477, 1038, 5681, 519, 15231, 2281, 547, 1205, 513, 1293, 540, 875, 1082, 2661, 12543, 1477, 1038, 519, 3077, 1591, 814, 269, 1287, 4019, 519, 3652, 540, 519, 3014, 267, 13059, 513, 835, 1477, 1038, 952, 519, 1591, 1058, 581, 9800, 543, 513, 4642, 952, 711, 269, 898, 849, 7024 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4002, 10732, 267, 20029, 269, 476, 1240, 267, 476, 1001, 272, 267, 808, 877, 344, 14339, 655, 5674, 518, 3576, 1010, 1378, 1272, 693, 519, 2085, 540, 476, 1691, 269, 2423, 17067, 713, 1032, 646, 1185, 15548, 538, 519, 834, 2005, 717, 1115, 14568, 257, 5741, 267, 855, 1175, 513, 3018, 1354, 519, 11980, 267, 646, 5206, 267, 834, 296, 2141, 2161, 875, 13032, 1221, 594, 993, 267, 855, 1100, 835, 1592, 839, 269, 3267, 1548, 798, 594, 723, 547, 798, 865, 1004, 786, 6432, 547, 803, 8119, 898, 4769, 1405, 1205, 1732, 585, 808, 877, 344, 267, 543, 646, 781, 711, 4805, 269, 2755, 519, 1445, 540, 1082, 4550, 1532, 592, 2391, 11044, 814, 1044, 547, 7668, 11806, 6107, 543, 1711, 2146, 1472, 873, 267, 594, 1589, 621, 781, 942, 585, 782, 4892, 547, 1118, 621, 1732, 563, 1103, 1250, 2038, 12322, 267, 1454, 1354, 594, 2968, 6899, 609, 1250, 4008, 543, 4638, 3961, 267, 594, 1336, 8885, 1373, 13032, 1221, 269, 5221, 594, 729, 1762, 267, 11821, 543, 7925, 267, 594, 1336, 621, 1360, 2352, 547, 9718, 8885, 267, 865, 594, 917, 519, 1271, 1909, 29752, 9905, 543, 3743, 4079, 1404, 950, 6849, 1524, 13032, 625, 269, 1879, 649, 616, 18056, 540, 519, 30380, 2623, 540, 930, 1453, 4724, 1346, 2808, 1114, 267, 649, 834, 18528, 5166, 257, 4079, 1294, 621, 607, 938, 5539, 547, 4431, 609, 2069, 267, 3797, 267, 3905, 6050, 543, 17933, 269, 1809, 1018, 568, 2877, 547, 1711, 1483, 1689, 568, 1483, 2962, 593, 519, 851, 540, 938, 10636, 18400, 12504, 787, 269, 2991, 782, 267, 891, 616, 707, 1453, 945, 616, 6117, 824, 3214, 547, 11980, 269, 7316, 616, 789, 1565, 602, 621, 781, 834, 10498, 547, 13842, 22172, 769, 851, 267, 1762, 1004, 616, 1565, 602, 621, 781, 834, 10498, 547, 13842, 257, 676, 11319, 6302, 543, 3478, 2476, 609, 621, 269, 27355, 1405, 602, 1018, 1762, 1004, 798, 267, 1449, 6302, 286, 4208, 616, 789, 24193, 547, 25261, 10733, 538, 1362, 2943, 4847, 547, 25711, 741, 11806, 15032, 286, 1284, 4312, 2097, 547, 606, 1620, 602, 7296, 1058, 711, 581, 4847, 543, 723, 2016, 3610, 519, 5837, 6392, 547, 3247, 621, 282, 649, 4312, 1500, 621, 10363, 547, 6133, 13189, 547, 1295, 832, 1317, 649, 5431, 602, 621, 781, 5739, 547, 741, 1072, 269, 1809, 519, 1297, 540, 7972, 689, 11806, 11648, 568, 20387, 269, 1879, 786, 519, 7972, 540, 891, 1453, 581, 6444, 607, 606, 16122, 547, 1118, 1689, 1631, 888, 29261, 543, 7855, 616, 4847, 267, 3006, 1256, 7142, 267, 547, 581, 12809, 538, 519, 3068, 540, 17847, 995, 543, 30891, 748, 2623, 593, 519, 851, 540, 741, 10997, 1317, 789, 723, 1185, 741, 1378, 3946, 13615, 676, 9777, 2209, 543, 513, 834, 332, 7394, 257, 12102, 945, 3409, 547, 2099, 834, 712, 257, 2418, 269, 1809, 3314, 267, 519, 3540, 2924, 3350, 1131, 711, 723, 1044, 5176, 607, 2500, 952, 3043, 1004, 22821, 1405, 8678, 609, 3979, 4892, 547, 1711, 519, 2556, 2242, 547, 1439, 12250, 1242, 10168, 269, 898, 1058, 711, 1152, 581, 519, 5539, 540, 519, 11806, 2146, 547, 2149, 1978, 6107, 269, 898, 568, 942, 585, 596, 547, 1796, 909, 585, 543, 581, 18177, 547, 782, 3013, 781, 1453, 4534, 711, 1152, 11806, 1453, 855, 782, 519, 1453, 945, 616, 7142, 547, 2661, 538, 513, 1158, 540, 11991, 28877, 267, 543, 849, 267, 6148, 1256, 811, 11932, 267, 519, 13032, 625, 945, 616, 1373, 4847, 547, 6861, 741, 1378, 8458, 693, 8788, 676, 12809, 2937, 676, 1056, 619, 269, 898, 568, 942, 585, 782, 4892, 547, 2097, 1927, 543, 1439, 4630, 2684, 11131, 543, 1098, 874, 11131, 1893, 267, 543, 547, 1491, 2962, 547, 2149, 519, 6689, 338, 540, 782, 540, 938, 1453, 267, 711, 1175, 930, 563, 9617, 514, 966, 643, 1014, 20607, 454, 1692, 786, 18496, 11686, 779, 1101, 476, 1911, 2395, 1764, 9358, 286, 4427, 18285, 267, 3442, 519, 2146, 602, 596, 1034, 2697, 609, 610, 1616, 547, 1451, 811, 827, 543, 649, 3580, 6494, 596, 519, 3377, 602, 6927, 1034, 2899, 513, 3018, 2429, 11686, 779, 1101, 476, 1911, 2395, 538, 5604, 269, 6258, 811, 0, 763, 4626, 3966, 328, 267, 610, 737, 9116, 1194, 5300, 267, 568, 519, 19762, 560, 1537, 25576, 15664, 6293, 609, 519, 13074, 2245, 269, 898, 814, 1044, 3964, 607, 513, 20013, 540, 519, 1623, 21620, 32316, 2094, 519, 476, 1704, 628, 2540, 269, 24641, 538, 519, 25724, 543, 18190, 1974, 835, 6292, 540, 4626, 3966, 328, 729, 519, 3044, 267, 2185, 630, 528, 1256, 811, 264, 7405, 538, 21434, 543, 2413, 1568, 616, 1455, 269, 634, 4626, 3966, 328, 568, 835, 540, 519, 4686, 7425, 534, 2684, 2158, 609, 513, 17386, 12334, 543, 922, 25122, 3340, 5393, 6213, 6217, 269, 634, 8515, 540, 2773, 4247, 2306, 621, 1898, 602, 519, 4626, 3966, 328, 851, 538, 519, 32316, 568, 5129, 676, 513, 11285, 267, 519, 968, 339, 574, 3966, 626, 6100, 1306, 10353, 547, 824, 25576, 15664, 1235, 945, 2356, 1689, 7405, 607, 2838, 676, 519, 4062, 630, 324, 3052, 1421, 18369, 14941, 267, 513, 268, 16746, 524, 2096, 321, 1023, 267, 512, 3711, 712, 710, 267, 6906, 264, 519, 4626, 3966, 626, 6212, 593, 4730, 519, 4626, 3966, 328, 851, 14311, 563, 26473, 2231, 519, 21499, 7659, 563, 7804, 4548, 543, 547, 916, 538, 741, 1585, 3029, 616, 519, 1034, 1271, 543, 25229, 21747, 540, 25576, 15664, 7405, 269, 901, 4015, 3568, 2879, 732, 27120, 267, 17552, 3712, 334, 14941, 267, 2361, 14941, 630, 528, 4557, 528, 14941, 1070, 18369, 27120, 267, 13447, 547, 916, 267, 887, 1729, 547, 916, 267, 28580, 27323, 27120, 267, 543, 512, 3711, 712, 1149, 563, 763, 524, 2096, 4472, 1920, 5161, 540, 519, 6292, 630, 1097, 3387, 1023, 513, 268, 16746, 1070, 519, 17735, 524, 2096, 4472, 543, 519, 28624, 268, 1002, 269, 634, 6292, 540, 524, 2096, 321, 1023, 543, 519, 28624, 268, 1002, 616, 32131, 676, 11495, 835, 6676, 1996, 519, 824, 267, 1247, 519, 17735, 524, 2096, 4472, 568, 13351, 609, 16853, 610, 630, 325, 3881, 264, 544, 24548, 269, 595, 2096, 321, 1023, 616, 2139, 538, 1114, 7306, 609, 5603, 4394, 540, 476, 1626, 2108, 547, 476, 2420, 2108, 267, 543, 1491, 593, 1585, 3029, 543, 3280, 4162, 267, 971, 607, 11878, 524, 2096, 321, 1023, 267, 16154, 524, 2096, 321, 1023, 267, 10943, 1662, 524, 2096, 321, 1023, 267, 3624, 524, 2096, 321, 1023, 610, 521, 11170, 548, 524, 2096, 321, 1023, 269, 4256, 10058, 267, 22815, 1424, 3280, 568, 3362, 4862, 936, 513, 2407, 6830, 1170, 24982, 25178, 532, 32316, 269, 1280, 713, 2601, 524, 2096, 321, 1023, 616, 1031, 1360, 17215, 585, 5309, 9822, 908, 8711, 610, 31126, 538, 519, 2575, 563, 4415, 21499, 27227, 3220, 4548, 267, 519, 21499, 6641, 874, 4577, 7732, 6770, 513, 8717, 540, 1995, 538, 10386, 543, 3301, 1646, 547, 519, 1148, 540, 15690, 14941, 2719, 269, 3502, 1152, 1705, 649, 2594, 2582, 16125, 1210, 1169, 10703, 22133, 14941, 4480, 543, 13994, 1637, 267, 649, 4076, 849, 9676, 519, 521, 4577, 3099, 7915, 538, 1142, 6293, 676, 18644, 621, 538, 2789, 4025, 269, 21763, 547, 1404, 689, 519, 4099, 540, 519, 2212, 547, 519, 26079, 540, 519, 7387, 286, 3807, 1847, 519, 25244, 8868, 543, 519, 3099, 543, 2661, 17349, 540, 707, 2773, 3587, 10265, 1673, 549, 6137, 269, 7981, 3007, 729, 2016, 547, 519, 11878, 524, 2096, 4472, 267, 3743, 585, 519, 8984, 10116, 4063, 13942, 540, 1082, 27227, 26107, 269, 7843, 17763, 267, 4730, 7997, 267, 6991, 267, 607, 1134, 607, 519, 1297, 540, 2053, 519, 524, 2096, 4472, 568, 5734, 538, 519, 2796, 540, 519, 2575, 3565, 547, 519, 3280, 540, 713, 11684, 543, 6213, 6293, 267, 17021, 606, 11613, 8076, 2773, 269, 3245, 9311, 2939, 547, 1151, 657, 267, 946, 21499, 27227, 3220, 4548, 585, 18711, 543, 32204, 9240, 7174, 267, 2462, 6512, 267, 581, 321, 641, 543, 3440, 6758, 269, 6153, 3377, 585, 21499, 19639, 618, 11550, 3755, 281, 634, 1007, 21499, 27227, 3220, 4548, 2882, 513, 1305, 540, 14941, 17787, 585, 519, 4835, 16790, 7591, 3724, 543, 23694, 3524, 27247, 630, 4338, 303, 264, 540, 21499, 29698, 11550, 269, 5213, 1406, 4413, 519, 11473, 20861, 602, 2337, 596, 547, 1376, 9240, 8221, 693, 519, 5905, 540, 513, 29327, 760, 2336, 26473, 2231, 519, 21499, 7659, 563, 2026, 513, 968, 7659, 4580, 3794, 1442, 839, 335, 1408, 892, 519, 13767, 652, 320, 814, 513, 2039, 540, 476, 276, 12354, 2314, 609, 606, 4277, 12242, 1915, 269, 634, 1259, 922, 3280, 568, 3812, 2306, 621, 513, 25576, 15664, 6293, 267, 855, 621, 568, 2356, 5129, 676, 513, 32058, 626, 267, 711, 513, 25576, 15664, 626, 269, 634, 3280, 540, 519, 13767, 652, 320, 568, 2571, 543, 968, 515, 13273, 569, 2108, 630, 514, 3943, 281, 968, 322, 2946, 23057, 324, 26158, 589, 4583, 13767, 652, 320, 851, 666, 581, 4862, 538, 519, 25326, 28755, 14982, 2672, 924, 540, 12877, 582, 337, 594, 569, 747, 570, 15939, 1731, 990, 20391, 1107, 19933, 540, 519, 17491, 680, 636, 674, 8543, 563, 763, 4436, 2012, 3794, 1442, 839, 335, 1408, 1797, 968, 10428, 1404, 892, 543, 4016, 547, 519, 3280, 540, 1507, 30518, 269, 2311, 519, 1439, 540, 519, 476, 1704, 628, 2540, 267, 519, 1507, 30518, 941, 8719, 676, 5374, 13063, 609, 513, 1883, 2039, 540, 827, 1614, 12354, 2314, 269, 634, 3280, 540, 519, 1350, 1442, 839, 335, 1408, 568, 1360, 1164, 543, 22815, 1424, 543, 666, 581, 5693, 4862, 1256, 998, 513, 2407, 32316, 4730, 538, 968, 339, 583, 16210, 6100, 634, 1350, 1442, 839, 335, 1408, 568, 1360, 2442, 543, 4749, 1031, 538, 23836, 21567, 10178, 325, 4100, 630, 324, 3052, 1421, 676, 21917, 3627, 13879, 1916, 763, 966, 756, 1429, 821, 568, 519, 1034, 2964, 1227, 1950, 543, 10427, 540, 782, 4731, 2280, 7405, 609, 513, 1883, 2039, 540, 476, 274, 476, 16006, 12354, 2314, 269, 4706, 8546, 6949, 2209, 543, 519, 28253, 3167, 5179, 1267, 538, 513, 968, 341, 2320, 908, 892, 630, 322, 637, 322, 2056, 543, 1232, 637, 322, 2056, 264, 2571, 4496, 3280, 602, 3217, 922, 6667, 689, 519, 1480, 5639, 269, 634, 642, 756, 1429, 821, 568, 711, 1152, 6109, 5172, 538, 15690, 855, 849, 538, 4207, 2575, 267, 1312, 607, 513, 23191, 543, 5283, 21288, 6293, 563, 763, 2473, 2643, 25869, 5161, 540, 11308, 13063, 540, 1585, 13080, 602, 616, 11231, 2687, 547, 741, 12334, 538, 10253, 267, 1360, 2147, 547, 519, 10569, 540, 513, 14440, 269, 3958, 267, 519, 2413, 32316, 1535, 2643, 25869, 814, 6949, 1807, 13740, 585, 1142, 3046, 267, 693, 513, 2039, 540, 2185, 12354, 2314, 269, 22702, 547, 519, 2261, 12494, 7469, 821, 267, 519, 1535, 2643, 25869, 814, 513, 2362, 630, 663, 7522, 518, 264, 2039, 543, 922, 13063, 616, 1500, 540, 513, 9875, 3574, 267, 4611, 538, 513, 17321, 543, 811, 11579, 7992, 4626, 3691, 269, 769, 19762, 560, 1537, 12417, 267, 519, 1535, 2643, 25869, 4122, 11363, 1978, 2694, 540, 513, 5283, 21288, 1899, 538, 585, 974, 610, 6830, 1170, 24982, 563, 763, 2261, 12494, 7469, 821, 630, 528, 1175, 968, 3405, 574, 9346, 14615, 5161, 540, 11308, 13063, 540, 1585, 13080, 799, 616, 11231, 2687, 547, 741, 12334, 538, 10253, 267, 1360, 13974, 547, 519, 10569, 540, 513, 14440, 269, 22702, 547, 519, 1535, 2643, 25869, 267, 519, 2261, 12494, 7469, 821, 568, 3677, 609, 513, 1883, 2039, 540, 2947, 12354, 2314, 630, 5228, 18369, 547, 620, 1729, 1070, 543, 922, 3574, 13063, 616, 25182, 543, 29779, 267, 4611, 538, 513, 3636, 543, 24886, 3280, 269, 4595, 519, 476, 4198, 271, 338, 621, 814, 1831, 513, 3044, 6293, 538, 4207, 2575, 563, 307, 600, 339, 4461, 1299, 717, 29330, 2934, 2185, 23111, 339, 4461, 540, 1114, 7306, 630, 2568, 267, 476, 1911, 267, 543, 476, 9873, 4699, 8006, 1040, 1284, 4076, 6592, 711, 1152, 2582, 16125, 538, 1585, 29702, 267, 855, 849, 12152, 565, 657, 543, 29565, 2583, 1107, 891, 4992, 723, 1831, 1360, 2442, 538, 4670, 18176, 543, 3280, 1374, 269, 9521, 519, 23984, 339, 4461, 267, 519, 575, 29330, 723, 513, 17386, 12334, 543, 513, 5679, 984, 538, 519, 4099, 269, 1411, 3580, 1265, 575, 29330, 5129, 609, 1114, 544, 24548, 630, 7809, 267, 3574, 267, 4496, 264, 543, 513, 6367, 267, 1519, 20061, 543, 524, 637, 25728, 334, 966, 5357, 9331, 292, 28132, 19006, 269, 1306, 513, 3791, 7121, 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 ]

[ 279, 1040, 4595, 476, 1001, 275, 267, 713, 2551, 814, 11124, 606, 3665, 7771, 538, 10285, 3977, 267, 519, 2014, 540, 799, 3788, 15458, 630, 293, 541, 638, 327, 1513, 517, 1696, 620, 1421, 476, 1001, 279, 1040, 2334, 568, 267, 1063, 476, 1220, 275, 543, 476, 1220, 280, 267, 519, 8167, 540, 8951, 9960, 693, 26741, 333, 2180, 729, 1063, 476, 2568, 543, 476, 3199, 9077, 2705, 1063, 476, 1001, 275, 543, 476, 1001, 277, 519, 8167, 540, 8951, 9960, 729, 5111, 476, 736, 9077, 513, 476, 2412, 1700, 2568, 260, 5786, 538, 513, 2947, 4458, 1974, 630, 293, 541, 638, 327, 1513, 517, 1696, 620, 1421, 476, 1001, 279, 1040, 4014, 585, 513, 1297, 540, 23097, 5387, 23047, 1575, 10118, 513, 9756, 1063, 2916, 543, 16445, 7306, 814, 1044, 3254, 630, 293, 8718, 267, 15083, 839, 1299, 9652, 267, 476, 1220, 272, 282, 2051, 27451, 267, 22823, 1299, 17384, 267, 476, 1001, 279, 1070, 713, 1281, 711, 2408, 547, 581, 519, 6852, 9920, 540, 519, 5786, 540, 4775, 10285, 3977, 538, 31005, 1014, 1821, 2812, 693, 26741, 333, 2180, 630, 293, 541, 638, 327, 1513, 517, 1696, 620, 1421, 476, 1001, 279, 1916, 2080, 649, 6322, 547, 1449, 2436, 519, 4767, 7771, 538, 3552, 26881, 10285, 8516, 630, 14588, 32496, 16445, 2450, 282, 1821, 2812, 723, 513, 5021, 16445, 2450, 540, 2185, 533, 13224, 1762, 282, 2871, 8814, 267, 476, 3192, 271, 264, 568, 513, 1267, 540, 7213, 6819, 538, 3691, 5338, 269, 769, 3691, 5338, 4965, 4386, 950, 606, 13250, 540, 18111, 614, 1190, 12424, 633, 27586, 24506, 1367, 10636, 27340, 13920, 267, 11874, 18363, 1367, 8516, 3448, 547, 1447, 2987, 321, 1042, 2043, 610, 5095, 630, 298, 11839, 1299, 9931, 518, 267, 476, 1220, 273, 282, 7671, 5069, 1696, 620, 1421, 476, 1001, 278, 1040, 19881, 4719, 1382, 593, 513, 27604, 31005, 1014, 26881, 2551, 7000, 954, 23949, 1339, 8390, 538, 538, 3691, 5338, 267, 855, 1100, 4191, 540, 538, 3691, 5338, 4965, 630, 7883, 1961, 344, 1696, 620, 1421, 476, 1001, 278, 1040, 4014, 538, 3691, 5338, 4965, 568, 4443, 547, 1353, 538, 6417, 5054, 630, 7945, 607, 24811, 1070, 621, 949, 581, 811, 3702, 1113, 538, 519, 3552, 267, 607, 2825, 2175, 616, 811, 4049, 630, 297, 528, 517, 1299, 4858, 651, 7615, 267, 476, 1220, 274, 282, 1488, 3387, 745, 3122, 1299, 32149, 267, 476, 1220, 276, 282, 1546, 4425, 518, 1696, 620, 1421, 476, 1001, 276, 1040, 4935, 267, 2090, 540, 538, 3691, 5338, 4965, 538, 27604, 5054, 949, 30391, 519, 1764, 540, 538, 3691, 5338, 593, 8516, 538, 519, 3552, 630, 298, 2077, 27255, 267, 700, 3996, 577, 322, 651, 1299, 32129, 10458, 267, 476, 1220, 279, 282, 3619, 1961, 344, 1696, 620, 1421, 476, 1001, 278, 1040, 769, 1840, 267, 3552, 5095, 602, 1995, 538, 3691, 5338, 4965, 616, 811, 7925, 547, 14486, 630, 298, 11839, 1299, 9931, 518, 267, 476, 1220, 273, 1070, 543, 865, 9678, 5095, 949, 991, 4719, 15063, 547, 8396, 519, 2360, 540, 538, 3691, 5338, 630, 29445, 5069, 267, 476, 1001, 276, 282, 7671, 5069, 1696, 620, 1421, 476, 1001, 278, 1916, 2080, 649, 946, 1617, 559, 1371, 10636, 27340, 13920, 547, 8495, 538, 3691, 5338, 543, 538, 3691, 5338, 4965, 538, 519, 667, 10499, 291, 6954, 2551, 540, 1821, 2812, 693, 26741, 333, 2180, 269, 1284, 6322, 547, 1449, 281, 630, 272, 264, 2436, 538, 3691, 5338, 568, 9648, 538, 519, 26881, 2551, 693, 26741, 333, 2180, 267, 543, 630, 273, 264, 2436, 538, 3691, 5338, 568, 2404, 609, 519, 4767, 5786, 538, 12093, 630, 14588, 32496, 16445, 7306, 1040, 634, 2164, 540, 713, 1353, 786, 1217, 519, 5571, 2359, 540, 27929, 26881, 5095, 538, 519, 3068, 540, 667, 10499, 291, 563, 29605, 1299, 10613, 454, 25456, 4015, 543, 1024, 19685, 454, 306, 3263, 941, 6394, 676, 519, 5254, 7894, 1739, 741, 9208, 21952, 26488, 630, 5408, 25715, 476, 276, 538, 670, 17344, 1696, 620, 1421, 476, 1001, 280, 264, 543, 3838, 609, 519, 2160, 540, 17638, 585, 4719, 2079, 269, 5027, 5439, 543, 7222, 10285, 543, 15295, 1239, 941, 2139, 585, 1296, 476, 1220, 277, 267, 476, 1220, 278, 267, 476, 1220, 280, 267, 476, 1001, 275, 267, 476, 1001, 276, 543, 476, 1001, 277, 269, 3115, 8793, 3977, 585, 8951, 729, 3144, 607, 519, 6059, 1293, 540, 15556, 3812, 630, 328, 4318, 1421, 968, 331, 7867, 2450, 25257, 1739, 10787, 638, 327, 1513, 517, 1696, 620, 269, 630, 1001, 279, 1040, 21058, 1821, 2812, 616, 3908, 547, 513, 5021, 540, 476, 275, 15556, 829, 9960, 2680, 630, 10817, 8814, 267, 476, 3192, 271, 1040, 1306, 568, 3044, 2259, 585, 25643, 10285, 3977, 538, 31005, 1014, 1821, 2812, 630, 31742, 532, 918, 2465, 2917, 1696, 620, 1421, 476, 1001, 273, 282, 10787, 638, 327, 1513, 517, 1696, 620, 1421, 476, 1001, 279, 1070, 16445, 2450, 729, 6059, 676, 519, 4527, 543, 1293, 540, 533, 13224, 1762, 585, 782, 1296, 4849, 476, 1220, 280, 269, 634, 476, 1220, 280, 5464, 7552, 7018, 2663, 538, 519, 1032, 267, 865, 16445, 2450, 729, 6059, 676, 519, 4527, 543, 1293, 540, 3742, 751, 1846, 630, 785, 21899, 533, 13224, 1762, 1185, 1044, 3954, 2740, 1040, 1306, 1821, 2812, 616, 23047, 1575, 10118, 267, 533, 13224, 1762, 8936, 547, 519, 751, 520, 16172, 1310, 4332, 267, 543, 2611, 7923, 585, 5111, 476, 275, 3275, 269, 1133, 31039, 751, 1846, 1141, 1100, 533, 13224, 1762, 8936, 1310, 4332, 786, 5469, 2406, 1036, 816, 630, 295, 6856, 2006, 267, 13643, 1299, 5576, 8705, 7999, 31000, 267, 476, 1220, 279, 1040, 9324, 2740, 1821, 2812, 630, 4501, 376, 276, 1700, 1015, 3275, 2022, 4332, 264, 786, 3136, 547, 29186, 548, 5329, 519, 751, 520, 3742, 3246, 606, 16315, 540, 519, 1297, 540, 15556, 602, 1185, 2840, 339, 1117, 543, 7923, 547, 513, 751, 520, 269, 769, 2698, 267, 476, 12739, 3552, 31005, 1014, 1821, 2812, 630, 3445, 8951, 543, 476, 4281, 9038, 264, 941, 3769, 538, 713, 1353, 282, 9039, 3177, 21613, 7403, 269, 22503, 10285, 3977, 1223, 711, 581, 8947, 538, 713, 1353, 1813, 547, 519, 1930, 2470, 540, 519, 2551, 267, 1818, 7895, 580, 872, 16646, 689, 4719, 1239, 2352, 563, 19091, 689, 1274, 23707, 5439, 689, 519, 476, 1220, 277, 267, 476, 1220, 278, 543, 476, 1220, 280, 5464, 15143, 1185, 1044, 5892, 13939, 630, 295, 754, 9581, 1696, 620, 1421, 476, 1001, 278, 1070, 15029, 5439, 689, 476, 1001, 275, 267, 476, 1001, 276, 543, 476, 1001, 277, 941, 13939, 1210, 513, 4307, 565, 7302, 3271, 334, 845, 4480, 630, 306, 3711, 549, 758, 267, 674, 761, 338, 577, 1299, 2494, 9332, 529, 267, 476, 2735, 280, 264, 543, 6740, 693, 6567, 736, 11019, 290, 269, 27842, 941, 1024, 12111, 539, 609, 476, 3953, 2322, 8271, 9243, 31442, 520, 22972, 12508, 1739, 3619, 1961, 344, 1696, 620, 269, 630, 1001, 278, 264, 543, 13643, 1696, 620, 269, 630, 1220, 274, 1040, 589, 14477, 6074, 1305, 540, 476, 278, 260, 941, 556, 24932, 12111, 539, 547, 7447, 1024, 19685, 5470, 269, 1284, 7318, 585, 14275, 27586, 693, 1142, 30580, 1210, 5843, 4211, 515, 14982, 630, 309, 534, 744, 8803, 327, 719, 1696, 620, 1421, 476, 1220, 275, 1070, 14275, 27446, 12451, 829, 1032, 543, 829, 30580, 941, 7229, 1210, 519, 1505, 540, 15588, 7615, 630, 1960, 277, 264, 543, 9184, 4327, 3842, 2637, 788, 641, 630, 305, 599, 12107, 1299, 681, 748, 3553, 267, 476, 1960, 276, 282, 681, 748, 3553, 267, 476, 1220, 279, 1040, 2637, 2704, 2750, 630, 8248, 752, 718, 1299, 3911, 1787, 267, 476, 1220, 277, 282, 30078, 718, 1299, 3911, 1787, 267, 476, 1001, 273, 264, 729, 1031, 547, 5173, 4767, 630, 9816, 264, 543, 4397, 10636, 27340, 13920, 630, 4047, 264, 585, 1142, 30580, 267, 1142, 1032, 267, 543, 2932, 10434, 344, 268, 2171, 514, 6199, 3169, 4255, 563, 1103, 3691, 5338, 543, 538, 3691, 5338, 4965, 454, 1103, 4156, 1644, 1145, 630, 7644, 1070, 513, 1617, 559, 1371, 10636, 27340, 13920, 18802, 602, 568, 4397, 547, 581, 9797, 17047, 609, 1367, 538, 3691, 5338, 11664, 630, 8649, 657, 1696, 620, 1421, 476, 1220, 272, 1070, 729, 7229, 1210, 519, 1599, 717, 2894, 4047, 307, 630, 290, 9567, 517, 267, 476, 1001, 271, 264, 585, 681, 630, 305, 11759, 12243, 267, 476, 1001, 280, 1040, 16843, 16621, 27446, 12451, 267, 1317, 972, 568, 513, 2362, 4960, 602, 4686, 268, 4150, 548, 4630, 27340, 13920, 568, 519, 1267, 540, 538, 321, 1042, 20282, 267, 3448, 547, 1455, 268, 4150, 548, 4630, 27340, 13920, 630, 8649, 657, 1696, 620, 1421, 476, 1220, 272, 1040, 2353, 2139, 5439, 267, 5256, 543, 4775, 267, 941, 1031, 547, 7447, 27446, 12451, 543, 5173, 16843, 267, 547, 6922, 1047, 1764, 540, 21496, 27446, 4908, 2242, 593, 7229, 16843, 2418, 269, 21661, 938, 10471, 267, 16843, 729, 1360, 3810, 17047, 609, 824, 1455, 3800, 540, 1617, 559, 1371, 10636, 27340, 13920, 630, 7945, 607, 3044, 2213, 4767, 10636, 27340, 13920, 267, 543, 10636, 27340, 13920, 8386, 2000, 1539, 282, 782, 6207, 9756, 14170, 941, 21759, 271, 269, 11463, 1070, 865, 649, 1445, 338, 539, 938, 1292, 8579, 9382, 593, 16843, 563, 2171, 8947, 2436, 538, 3691, 5338, 729, 7213, 6819, 1851, 2043, 538, 519, 2551, 676, 4152, 585, 513, 1689, 538, 16843, 936, 942, 1210, 513, 5276, 2203, 19034, 538, 681, 609, 1032, 607, 519, 6378, 27667, 543, 16843, 607, 519, 3210, 630, 301, 815, 476, 12739, 1040, 1284, 11117, 1689, 538, 519, 2551, 7400, 540, 538, 3691, 5338, 630, 293, 3041, 1070, 7229, 1210, 519, 10189, 9246, 325, 560, 520, 630, 294, 3716, 564, 267, 476, 1220, 276, 264, 585, 681, 563, 2414, 4612, 12205, 1063, 10636, 27340, 13920, 543, 16445, 7306, 607, 538, 3691, 5338, 4965, 267, 7636, 1239, 1590, 2992, 8390, 538, 538, 3691, 5338, 2157, 1851, 2043, 267, 1775, 4318, 1421, 3961, 1669, 638, 10329, 630, 306, 345, 592, 7219, 267, 645, 1512, 928, 1299, 6424, 267, 476, 1001, 271, 1040, 901, 8390, 729, 3067, 1881, 609, 519, 575, 476, 273, 18802, 630, 21837, 1696, 620, 1421, 476, 1220, 278, 282, 590, 345, 592, 7219, 267, 645, 1512, 928, 1299, 6424, 267, 476, 1001, 271, 1070, 1210, 519, 10189, 538, 3691, 539, 305, 630, 306, 1729, 742, 601, 1696, 620, 1421, 476, 1001, 277, 264, 585, 681, 267, 609, 922, 8856, 11117, 1210, 476, 272, 267, 1822, 22757, 30408, 23200, 563, 2171, 7318, 585, 538, 3691, 5338, 4965, 676, 8159, 2436, 16843, 729, 513, 27667, 540, 4775, 12093, 1210, 5276, 9695, 269, 634, 4834, 1031, 585, 519, 9695, 941, 912, 23536, 1464, 540, 9960, 912, 3602, 16061, 271, 568, 519, 18448, 267, 16061, 272, 6629, 274, 616, 9695, 14170, 2404, 609, 519, 9138, 27667, 4632, 267, 543, 31330, 328, 568, 519, 5470, 2165, 269, 1284, 849, 13986, 547, 1039, 1032, 607, 513, 4351, 1198, 630, 324, 3052, 1421, 1739, 645, 1551, 1696, 620, 1421, 476, 1001, 274, 1070, 855, 1152, 938, 16445, 2450, 2203, 4780, 3022, 269, 8409, 2164, 941, 12007, 569, 2147, 547, 938, 1292, 4681, 267, 543, 865, 616, 4843, 538, 4675, 11915, 11778, 585, 6476, 269, 700, 7867, 2450, 729, 1110, 8215, 607, 513, 23481, 3210, 1210, 519, 524, 321, 785, 1599, 538, 519, 681, 3490, 10189, 267, 1141, 519, 1297, 540, 15556, 729, 519, 1297, 540, 23481, 968, 5271, 757, 892, 543, 519, 1297, 540, 8062, 729, 476, 275, 630, 10946, 3065, 2009, 16445, 2450, 1040, 634, 16445, 2450, 2203, 729, 19034, 7466, 281, 609, 519, 16445, 7306, 540, 782, 8951, 630, 301, 815, 476, 3445, 1070, 543, 609, 1152, 1346, 8951, 602, 4951, 2963, 540, 9960, 630, 328, 4318, 1421, 6721, 476, 272, 610, 811, 15556, 267, 715, 815, 476, 3607, 1040, 769, 3691, 5338, 4965, 568, 4397, 547, 3132, 513, 2942, 9386, 585, 16843, 630, 712, 27667, 540, 1719, 1070, 1775, 4318, 1421, 2799, 16843, 568, 2404, 609, 8519, 16445, 7306, 269, 6520, 630, 22372, 593, 5694, 5957, 7422, 267, 623, 1897, 2023, 267, 476, 1960, 271, 264, 543, 1032, 941, 849, 3769, 607, 6024, 6378, 30661, 630, 5976, 1032, 815, 476, 271, 585, 476, 1220, 277, 1040, 7844, 5542, 729, 5342, 1210, 606, 1344, 5376, 6776, 1935, 1739, 717, 4902, 828, 1696, 620, 269, 630, 1001, 272, 1070, 609, 3044, 5314, 1739, 717, 601, 2006, 630, 294, 601, 2006, 267, 476, 1220, 279, 264, 1210, 519, 10189, 6186, 630, 294, 601, 2006, 1299, 2672, 267, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2690, 936, 513, 8717, 267, 7811, 21575, 723, 10567, 602, 519, 8709, 670, 913, 13737, 640, 540, 22130, 1223, 581, 2404, 609, 1114, 16678, 11775, 540, 2339, 267, 519, 1034, 8037, 540, 799, 568, 669, 12637, 21367, 2032, 563, 288, 8709, 670, 913, 13737, 640, 568, 9247, 513, 1875, 1606, 15879, 1054, 1448, 538, 519, 5860, 540, 2829, 630, 291, 5308, 264, 540, 513, 26543, 4396, 269, 1879, 22130, 10301, 610, 568, 2673, 547, 713, 1808, 1648, 1377, 267, 513, 6366, 6512, 10953, 538, 922, 5907, 2497, 602, 666, 19582, 606, 24215, 1804, 1297, 540, 9211, 269, 901, 5012, 547, 2178, 1082, 23073, 4205, 602, 3895, 610, 5512, 519, 6228, 540, 16678, 2829, 540, 2339, 563, 3383, 2484, 267, 519, 3169, 4110, 547, 799, 519, 2139, 1648, 2157, 540, 22130, 991, 547, 581, 4904, 609, 9211, 630, 328, 4318, 1421, 834, 323, 25660, 8442, 538, 1931, 585, 1367, 11775, 547, 24644, 814, 1044, 1360, 2352, 547, 3313, 1210, 2203, 9273, 269, 17291, 610, 8888, 2553, 602, 666, 581, 1031, 547, 546, 2100, 22130, 547, 610, 3564, 519, 8709, 670, 913, 13737, 640, 1223, 6038, 1291, 547, 4277, 7422, 1644, 547, 16678, 11775, 540, 2339, 267, 799, 1223, 538, 2490, 17362, 519, 1259, 2509, 519, 1646, 540, 1007, 22130, 2861, 2029, 563, 12867, 693, 519, 7665, 23851, 4659, 585, 20348, 3557, 3194, 538, 853, 18636, 326, 691, 267, 5125, 723, 5063, 25282, 606, 1935, 547, 936, 1673, 2100, 22130, 3564, 519, 8709, 670, 913, 13737, 640, 269, 4256, 1505, 267, 4843, 538, 513, 1957, 3370, 538, 8447, 5623, 16707, 267, 10905, 1079, 1114, 2553, 267, 12077, 586, 339, 614, 321, 1756, 954, 5632, 566, 543, 11379, 23455, 1632, 269, 2414, 1224, 811, 267, 4945, 1934, 269, 0, 22068, 6625, 29743, 630, 31333, 290, 264, 568, 513, 7623, 540, 13339, 543, 3327, 609, 513, 3114, 4542, 540, 13961, 290, 269, 634, 14724, 5663, 1184, 585, 6721, 13339, 29743, 568, 547, 1071, 710, 21958, 5070, 543, 3327, 538, 606, 589, 2583, 517, 27948, 3167, 4187, 19460, 693, 513, 1164, 2837, 267, 1063, 476, 8182, 271, 9180, 630, 29720, 271, 13790, 264, 543, 6693, 22068, 6625, 29743, 23907, 609, 2370, 610, 1100, 10286, 10465, 23606, 2226, 741, 4222, 547, 1360, 1164, 5210, 267, 16042, 476, 8182, 271, 595, 609, 1100, 4222, 2530, 269, 11906, 19454, 267, 4187, 547, 3114, 4323, 693, 2837, 267, 543, 4222, 12802, 693, 1164, 5210, 814, 1500, 713, 1570, 1360, 2442, 607, 530, 29195, 26745, 7028, 543, 533, 5417, 956, 538, 19202, 7677, 2167, 563, 289, 275, 290, 268, 6200, 18664, 517, 29743, 25132, 14895, 476, 4200, 4939, 476, 4335, 16354, 267, 25132, 32535, 11426, 1436, 540, 2659, 645, 275, 290, 15089, 641, 14895, 1403, 596, 1544, 547, 1931, 1804, 9424, 540, 16907, 517, 2961, 321, 728, 20543, 585, 707, 4853, 2115, 267, 5225, 4063, 602, 29356, 540, 20543, 6724, 630, 7945, 607, 2450, 267, 3259, 267, 19454, 3092, 4700, 616, 2139, 2390, 7662, 4586, 22068, 6625, 6491, 20183, 11084, 630, 17928, 289, 264, 2561, 2993, 542, 281, 28541, 6491, 20183, 11084, 666, 581, 1031, 538, 26971, 799, 991, 26184, 2773, 4170, 281, 1164, 14588, 539, 270, 25436, 32497, 26971, 267, 1164, 8856, 26971, 267, 12511, 26971, 267, 1164, 270, 1970, 2837, 26971, 267, 1875, 2173, 24599, 26971, 267, 1164, 1790, 13440, 1707, 3440, 17684, 282, 849, 666, 581, 1031, 607, 11896, 3440, 267, 6482, 3440, 538, 3114, 6802, 2073, 14683, 27529, 6802, 267, 1558, 1359, 6802, 563, 1103, 519, 1459, 1353, 267, 9325, 2527, 543, 6991, 941, 971, 602, 519, 476, 2568, 2173, 559, 630, 272, 269, 276, 2173, 332, 264, 21247, 3382, 7902, 607, 513, 10859, 19899, 9548, 3077, 547, 519, 18363, 1788, 850, 269, 1280, 519, 631, 2643, 541, 543, 670, 1922, 559, 332, 2326, 630, 1839, 10681, 1070, 519, 476, 273, 268, 547, 476, 1691, 2173, 545, 668, 2678, 13339, 29743, 5536, 1031, 538, 454, 19770, 28541, 2961, 321, 728, 4676, 847, 800, 9755, 454, 13356, 476, 736, 267, 476, 1001, 278, 6440, 1548, 568, 28541, 2961, 321, 728, 28541, 29743, 568, 606, 22803, 7623, 2348, 519, 3114, 4542, 11483, 328, 898, 568, 7768, 540, 835, 3327, 11046, 543, 513, 13339, 11046, 829, 11140, 634, 24855, 2527, 540, 713, 7623, 568, 476, 25002, 271, 575, 8276, 565, 563, 22709, 15190, 5766, 1429, 344, 6796, 9612, 281, 9612, 3733, 10055, 3733, 654, 880, 4289, 3733, 14295, 6744, 719, 19193, 8298, 769, 5851, 1315, 16811, 1315, 14265, 322, 17156, 14265, 322, 17156, 7348, 607, 25373, 5903, 454, 23322, 2065, 19162, 601, 3623, 15969, 1331, 1896, 954, 5471, 28351, 7135, 540, 19695, 543, 13339, 269, 19162, 601, 3623, 15969, 616, 1271, 538, 2890, 19491, 16361, 607, 789, 1106, 693, 15118, 2388, 540, 19695, 543, 13339, 269, 11906, 4542, 281, 301, 328, 273, 31333, 631, 6897, 2527, 281, 13970, 269, 5325, 274, 575, 8276, 565, 25670, 281, 278, 269, 2412, 575, 30763, 274, 454, 22068, 6625, 9995, 12724, 1667, 476, 1708, 271, 268, 276, 268, 1724, 22068, 6625, 31763, 345, 19783, 269, 19783, 585, 13339, 21247, 666, 581, 1031, 538, 2182, 543, 5393, 2182, 2326, 11493, 267, 5935, 267, 568, 4922, 1031, 538, 7626, 267, 9160, 267, 18195, 1559, 267, 11956, 1141, 519, 3037, 804, 28310, 267, 900, 2044, 543, 824, 2679, 5070, 454, 22068, 6625, 6491, 20183, 630, 31333, 274, 301, 275, 264, 2501, 538, 3029, 971, 607, 5114, 27433, 267, 521, 842, 1229, 543, 3905, 20399, 269, 20056, 550, 5687, 334, 7344, 3601, 723, 2938, 713, 1570, 1031, 585, 2599, 2694, 267, 26971, 267, 4496, 20619, 543, 824, 4853, 813, 2993, 687, 563, 2171, 1491, 782, 10257, 3268, 547, 1832, 5150, 1022, 1344, 799, 649, 3180, 827, 596, 269, 9608, 1344, 949, 581, 6740, 1312, 6475, 1227, 593, 938, 2780, 1062, 267, 543, 538, 2182, 2275, 4878, 1106, 269, 9605, 31486, 267, 476, 14225, 279, 9779, 642, 274, 9399, 299, 14238, 267, 18538, 267, 4550, 8686, 6400, 3301, 543, 454, 22068, 6625, 2961, 321, 728, 544, 1638, 924, 15839, 2326, 538, 519, 4401, 543, 5374, 267, 1875, 2536, 9317, 8407, 267, 4620, 10635, 8707, 267, 12227, 267, 5201, 267, 1769, 2872, 543, 824, 2596, 6080, 723, 513, 2647, 2039, 540, 813, 2993, 687, 269, 634, 1292, 813, 2993, 542, 2127, 540, 18195, 800, 2326, 543, 741, 9757, 17114, 538, 519, 5374, 2872, 20039, 585, 519, 4102, 8167, 563, 300, 6897, 2527, 281, 476, 10711, 269, 8660, 25670, 281, 476, 280, 269, 1240, 326, 30763, 274, 9253, 1154, 1448, 281, 476, 273, 267, 277, 3445, 595, 1284, 849, 3761, 2630, 29743, 838, 32211, 9072, 1570, 281, 26537, 1756, 2961, 321, 728, 9197, 273, 290, 274, 267, 9197, 290, 670, 2378, 333, 1756, 2961, 321, 728, 670, 325, 290, 15281, 984, 1756, 2961, 321, 728, 715, 321, 290, 8125, 8336, 2961, 321, 728, 13961, 290, 570, 656, 531, 636, 2961, 321, 728, 19248, 290, 454, 13510, 9005, 585, 22312, 7330, 3794, 984, 958, 9612, 2165, 281, 834, 338, 559, 3821, 20543, 257, 14424, 15733, 281, 8564, 909, 547, 476, 275, 2472, 269, 28541, 8166, 12430, 16754, 281, 13961, 302, 476, 273, 476, 2568, 269, 5400, 31909, 715, 21838, 281, 476, 278, 8287, 272, 268, 10436, 268, 280, 476, 278, 4366, 14065, 20543, 267, 8544, 641, 5387, 267, 476, 1220, 16354, 9325, 2450, 267, 31736, 2450, 476, 275, 16354, 454, 300, 333, 274, 302, 275, 268, 1911, 4211, 29151, 2910, 288, 585, 631, 333, 274, 302, 275, 268, 1911, 22670, 12547, 20543, 8869, 476, 4200, 269, 279, 260, 476, 2004, 16354, 631, 333, 274, 302, 275, 268, 1911, 6261, 3722, 13268, 720, 585, 631, 333, 274, 302, 275, 268, 1911, 22670, 12547, 20543, 8869, 476, 4200, 269, 279, 260, 476, 2004, 16354, 631, 333, 274, 302, 275, 268, 1911, 268, 4916, 291, 3487, 1834, 12025, 17392, 585, 631, 333, 274, 302, 275, 268, 1911, 22670, 454, 1708, 271, 270, 278, 270, 279, 6440, 6820, 28541, 2961, 321, 728, 10369, 12025, 476, 1708, 271, 676, 13870, 267, 13044, 268, 866, 8177, 5811, 267, 5440, 18831, 7383, 268, 2750, 1636, 543, 29283, 5983, 4751, 1299, 13636, 5811, 676, 476, 1708, 276, 15618, 281, 5147, 476, 279, 267, 6693, 5978, 5542, 540, 2872, 1808, 17476, 3382, 513, 1804, 2039, 540, 3584, 269, 1411, 949, 3442, 547, 24049, 547, 519, 3281, 895, 590, 2438, 13503, 528, 18225, 267, 519, 3281, 895, 590, 2438, 13503, 528, 5240, 12072, 267, 610, 1312, 269, 1411, 949, 849, 7662, 3606, 1344, 952, 2838, 267, 1354, 454, 2254, 577, 8860, 3937, 585, 13339, 530, 2378, 619, 22750, 25416, 2443, 589, 696, 2131, 24322, 5549, 269, 22750, 8860, 267, 513, 6390, 22750, 4515, 4979, 267, 568, 2565, 547, 519, 5663, 540, 782, 19202, 530, 2378, 619, 543, 530, 2378, 619, 602, 616, 1031, 538, 519, 5478, 540, 1082, 824, 3157, 267, 971, 607, 590, 1952, 10921, 267, 31763, 345, 267, 1325, 29837, 610, 28541, 2961, 321, 728, 563, 22068, 6625, 2961, 321, 728, 8869, 8276, 2222, 1790, 32535, 609, 519, 1543, 540, 13961, 290, 811, 982, 476, 7176, 269, 276, 9077, 519, 9325, 2450, 476, 1220, 6996, 327, 267, 17168, 6996, 327, 610, 1256, 476, 7785, 6996, 327, 28541, 29743, 568, 606, 4998, 7623, 632, 31038, 6500, 267, 964, 5285, 584, 6500, 28022, 543, 23313, 814, 513, 2178, 25505, 609, 5135, 269, 23883, 454, 15371, 13339, 29743, 610, 11956, 12547, 19046, 2923, 2306, 519, 1034, 2631, 585, 707, 5663, 5106, 267, 596, 666, 1293, 593, 5685, 5109, 7010, 585, 519, 1318, 1587, 693, 519, 1318, 3902, 269, 1284, 4076, 1044, 538, 1870, 2094, 476, 3192, 273, 1107, 649, 1174, 519, 2189, 11956, 12547, 1025, 8463, 2923, 2115, 540, 3549, 2066, 513, 3376, 8552, 540, 6080, 563, 22068, 6625, 2961, 321, 728, 4427, 1598, 919, 27824, 5450, 1023, 29714, 29714, 4004, 328, 687, 10049, 14409, 17224, 18209, 1299, 16470, 19901, 22997, 5020, 7070, 590, 2438, 13503, 528, 13317, 16811, 14825, 12067, 7767, 832, 7767, 832, 11038, 1234, 548, 1162, 5680, 4751, 338, 454, 1708, 271, 270, 276, 270, 1789, 6440, 5637, 13339, 29743, 543, 512, 32500, 29743, 616, 1875, 268, 6448, 4702, 23907, 269, 1703, 616, 476, 866, 1570, 3601, 609, 2418, 585, 1312, 2326, 269, 16544, 609, 2418, 585, 1175, 835, 1570, 630, 272, 267, 538, 713, 2013, 264, 616, 711, 3254, 269, 7490, 4063, 602, 519, 1079, 2326, 723, 454, 22068, 6625, 22179, 476, 273, 269, 3451, 6121, 829, 12945, 1298, 9014, 610, 476, 273, 476, 20065, 11304, 829, 12945, 11281, 267, 1775, 4318, 269, 5860, 540, 13339, 568, 3160, 547, 476, 273, 476, 20065, 4846, 8276, 23326, 282, 693, 476, 1839, 595, 630, 6507, 674, 610, 476, 29218, 269, 1428, 298, 264, 693, 3044, 11626, 2604, 269, 769, 15875, 610, 2475, 22232, 6482, 1062, 267, 519, 5860, 568, 3160, 547, 476, 13970, 269, 3393, 278, 11013, 829, 12945, 3723, 1496, 331, 321, 270, 1111, 23326, 3910, 610, 476, 272, 269, 3374, 26412, 829, 12945, 10759, 1496, 9926, 30032, 577, 23326, 316, 4586, 22068, 6625, 25543, 22381, 528, 728, 5907, 3446, 267, 21759, 4200, 269, 4200, 260, 14271, 7716, 281, 28541, 263, 4353, 264, 21973, 31909, 715, 21838, 476, 278, 4281, 274, 268, 8618, 268, 272, 12430, 16754, 13961, 293, 476, 275, 17449, 13379, 476, 10441, 269, 5400, 10566, 715, 21838, 476, 22446, 268, 27888, 268, 276, 11022, 299, 8356, 518, 631, 293, 7374, 1822, 28147, 3451, 6583, 290, 1335, 28548, 9517, 476, 27886, 277, 7176, 5952, 715, 3722, 305, 2464, 454, 25820, 769, 14351, 5410, 1677, 14295, 7698, 13517, 12025, 10829, 640, 8830, 640, 3487, 715, 21838, 12313, 769, 14351, 5410, 1677, 14295, 28541, 3933, 6448, 590, 6579, 2975, 2177, 631, 2177, 302, 311, 22432, 28697, 4488, 2464, 267, 13961, 302, 267, 476, 4200, 269, 9032, 260, 623, 13543, 267, 476, 273, 269, 276, 268, 276, 12613, 28697, 4488, 2464, 267, 476, 272, 918, 6579, 8104, 305, 4456, 476, 273, 269, 276, 7825, 910, 476, 276, 7825, 26629, 806, 476, 272, 4846, 476, 4200, 269, 9032, 260, 1269, 25784, 0, 268, 6904, 2749, 814, 519, 1655, 1216, 538, 519, 1158, 888, 268, 6904, 2197, 568, 29659, 538, 1216, 2200, 888, 268, 1548, 3148, 814, 519, 9803, 2067, 15195, 8244, 888, 268, 1215, 1082, 2477, 723, 1100, 2973, 1216, 888, 268, 1548, 2197, 814, 519, 6574, 2179, 540, 15195, 888, 268, 5808, 22595, 1034, 540, 519, 1158, 779, 1216, 888, 268, 5808, 814, 519, 2973, 652, 1216, 538, 519, 1158, 888, 268, 7316, 568, 519, 2973, 652, 1216, 538, 519, 1158, 888, 268, 5808, 22595, 4993, 1216 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21380, 780, 2750, 716, 12980, 568, 6325, 538, 519, 1739, 2631, 281, 1403, 3169, 1297, 3615, 616, 5293, 547, 1022, 540, 519, 12980, 5773, 4330, 538, 3296, 1109, 280, 269, 279, 269, 272, 267, 543, 606, 3169, 1297, 1843, 568, 8120, 267, 1287, 519, 1267, 568, 28879, 2953, 269, 901, 568, 3622, 711, 3020, 540, 26398, 5473, 538, 1410, 716, 1297, 3615, 1317, 16977, 2409, 971, 607, 13735, 15304, 12980, 949, 581, 1031, 267, 855, 621, 568, 519, 10279, 540, 1142, 6388, 547, 1118, 519, 1267, 607, 2673, 607, 4052, 547, 519, 28879, 4998, 1267, 780, 1012, 476, 273, 269, 274, 1109, 1109, 293, 1460, 333, 4548, 543, 1166, 517, 4548, 692, 288, 4368, 11133, 568, 606, 3169, 8870, 1843, 602, 6013, 1369, 513, 1978, 6388, 17466, 1016, 9792, 540, 519, 3169, 8870, 3615, 269, 630, 299, 3869, 3296, 593, 968, 293, 1460, 333, 4548, 892, 6257, 513, 5399, 585, 7384, 609, 4368, 333, 4548, 4700, 19452, 267, 1169, 6388, 568, 2838, 547, 1374, 622, 513, 15410, 540, 922, 538, 1410, 716, 1483, 1297, 3615, 8204, 607, 1166, 517, 4548, 267, 543, 547, 6460, 1978, 5007, 11269, 883, 1166, 517, 4548, 269, 630, 299, 3869, 3296, 593, 968, 14503, 517, 4548, 892, 6257, 513, 5399, 585, 7384, 609, 1166, 517, 4548, 4700, 8074, 602, 713, 1281, 711, 17538, 602, 606, 6388, 568, 2838, 547, 946, 13735, 15304, 11269, 780, 1012, 476, 273, 269, 275, 1109, 1109, 25363, 7695, 4170, 692, 25363, 618, 725, 540, 30868, 616, 2838, 547, 1489, 1297, 3615, 585, 519, 3003, 13486, 540, 1016, 18196, 2016, 538, 3296, 1109, 273, 269, 272, 269, 5047, 267, 30582, 616, 2838, 547, 1489, 3169, 8870, 3615, 543, 3169, 7787, 1297, 3615, 540, 18374, 19957, 2450, 543, 8856, 267, 543, 547, 2936, 1978, 5773, 630, 4289, 539, 538, 476, 280, 269, 279, 269, 272, 264, 865, 789, 2141, 2132, 3169, 2164, 950, 2016, 3169, 7440, 269, 12462, 303, 847, 1227, 19957, 892, 1797, 602, 519, 2450, 543, 8856, 540, 891, 2338, 1058, 1152, 581, 3908, 676, 519, 2450, 540, 519, 2139, 3965, 24355, 25363, 618, 725, 949, 1489, 1152, 513, 3908, 2039, 540, 538, 1410, 716, 1297, 3615, 540, 1022, 1826, 267, 1641, 547, 519, 4170, 540, 713, 3296, 269, 1280, 1383, 267, 606, 6388, 949, 3970, 519, 2039, 540, 519, 538, 1410, 716, 1483, 1297, 3615, 630, 663, 4061, 519, 2039, 540, 538, 1410, 716, 8870, 543, 7787, 1297, 3615, 264, 547, 519, 6422, 2039, 540, 519, 1166, 517, 636, 3898, 269, 5015, 519, 10616, 1063, 519, 538, 1410, 716, 8870, 3615, 543, 32311, 1023, 616, 2693, 547, 581, 1360, 1804, 538, 971, 606, 6388, 607, 519, 7182, 540, 713, 2039, 616, 14059, 780, 2304, 6388, 949, 946, 13735, 1448, 543, 824, 16977, 6041, 2994, 585, 538, 1410, 716, 2338, 269, 901, 1867, 15565, 267, 855, 1281, 711, 2154, 267, 602, 519, 20959, 13735, 15304, 4441, 581, 4553, 676, 30582, 602, 946, 13735, 15304, 11269, 267, 543, 602, 30582, 1210, 824, 11269, 1058, 6474, 610, 9765, 519, 8856, 24276, 1210, 891, 13735, 1448, 4441, 1109, 314, 1691, 316, 780, 1103, 1880, 267, 30582, 602, 946, 13735, 15304, 11269, 1590, 1246, 891, 3652, 281, 589, 13735, 15304, 1267, 1590, 581, 6719, 609, 693, 2547, 607, 1454, 8856, 607, 568, 1031, 547, 2769, 1022, 540, 519, 538, 1410, 716, 7440, 547, 602, 5106, 269, 898, 568, 14909, 630, 8117, 711, 2838, 264, 585, 5732, 538, 1410, 716, 4238, 971, 607, 21762, 267, 950, 4294, 547, 3169, 7440, 267, 547, 3132, 3169, 4267, 8164, 2009, 630, 1721, 1383, 519, 4009, 3597, 540, 606, 3169, 476, 275, 11129, 547, 581, 606, 3169, 476, 273, 1040, 1403, 267, 2705, 267, 606, 3169, 1297, 1843, 568, 13234, 2390, 865, 607, 547, 3132, 606, 538, 1410, 716, 1267, 630, 553, 676, 21762, 1070, 543, 952, 519, 1267, 568, 6719, 538, 13735, 1448, 267, 1287, 519, 1034, 5730, 13735, 15304, 3898, 2139, 1590, 581, 1031, 282, 855, 952, 519, 1267, 568, 6719, 538, 930, 824, 1259, 1287, 519, 6041, 1590, 723, 693, 2547, 607, 1454, 8856, 607, 519, 1034, 5730, 13735, 15304, 3898, 2139, 780, 2005, 568, 519, 27732, 779, 5539, 547, 2057, 1210, 538, 1410, 716, 1297, 3615, 609, 9588, 610, 1542, 663, 1932, 1804, 547, 581, 6719, 538, 519, 6388, 780, 1012, 476, 273, 269, 276, 1109, 1109, 14813, 514, 885, 543, 10878, 28213, 692, 31339, 20581, 568, 9833, 607, 513, 1483, 630, 8117, 711, 7787, 264, 1297, 1843, 602, 4564, 606, 967, 9057, 3729, 1297, 3152, 982, 519, 2338, 6719, 676, 782, 7787, 1297, 3615, 269, 20134, 20581, 568, 9833, 607, 513, 1483, 630, 8117, 711, 7787, 264, 1297, 1843, 602, 4564, 606, 967, 9057, 3729, 1297, 1447, 982, 519, 2338, 6719, 676, 782, 7787, 2338, 780, 288, 10878, 301, 568, 9833, 607, 513, 1483, 630, 8117, 711, 7787, 264, 1297, 1843, 865, 967, 9057, 3729, 602, 621, 1522, 2099, 1022, 1483, 1297, 267, 1519, 2318, 610, 2942, 20581, 267, 543, 1522, 1256, 581, 3152, 982, 2318, 20581, 610, 1447, 982, 2942, 20581, 780, 1012, 476, 273, 269, 277, 1109, 1109, 18850, 3907, 1639, 910, 271, 269, 271, 692, 5278, 30868, 30582, 267, 4481, 1346, 602, 1246, 519, 20959, 13735, 15304, 4441, 267, 10646, 1063, 1297, 3615, 585, 476, 271, 269, 271, 543, 910, 476, 271, 269, 271, 267, 1775, 4318, 1421, 2318, 543, 2942, 538, 1410, 716, 4642, 269, 901, 1867, 786, 3006, 14574, 519, 2623, 540, 1978, 12980, 4238, 593, 891, 1297, 3615, 269, 1452, 16551, 616, 6825, 609, 968, 604, 910, 476, 271, 269, 271, 568, 13747, 892, 610, 968, 574, 921, 618, 725, 602, 10646, 910, 476, 271, 269, 271, 6100 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 741, 1378, 17174, 1158, 799, 568, 538, 5912, 267, 543, 519, 1007, 1514, 1931, 799, 10741, 909, 642, 626, 553, 585, 741, 7004, 269, 4438, 713, 1788, 649, 6322, 693, 18836, 532, 519, 5013, 827, 519, 11031, 540, 3127, 543, 4000, 547, 519, 1053, 563, 1103, 519, 1576, 540, 519, 1788, 649, 6446, 4240, 909, 513, 3126, 540, 2238, 998, 799, 519, 1053, 941, 2111, 547, 1353, 519, 15295, 4162, 540, 519, 11031, 267, 917, 741, 1459, 1514, 267, 2804, 543, 1072, 4567, 543, 917, 519, 4128, 1946, 789, 616, 13155, 563, 25565, 24853, 616, 15116, 547, 610, 8984, 540, 513, 1978, 4182, 610, 6803, 1895, 267, 799, 2356, 25601, 2178, 2609, 540, 519, 2528, 689, 799, 621, 24865, 269, 769, 2127, 1141, 4207, 5375, 535, 1662, 687, 723, 1831, 8912, 267, 2757, 24853, 616, 1419, 12816, 538, 4276, 609, 2027, 2621, 543, 16873, 267, 3226, 1346, 4448, 609, 2686, 5389, 267, 6561, 267, 610, 11348, 269, 3776, 2832, 3297, 713, 1788, 729, 547, 538, 1529, 322, 622, 519, 4743, 540, 11348, 585, 835, 779, 1378, 2757, 30933, 607, 1134, 607, 547, 2463, 585, 519, 1140, 2231, 540, 824, 2477, 10838, 938, 1053, 269, 1358, 6956, 519, 10923, 4128, 602, 1860, 519, 19703, 540, 519, 1004, 540, 1114, 4525, 563, 26364, 858, 1231, 4139, 3427, 7959, 10583, 547, 723, 12913, 713, 9740, 676, 5870, 519, 4879, 7355, 998, 519, 5916, 4674, 540, 519, 4959, 288, 2319, 543, 1053, 269, 1284, 4076, 4465, 519, 20380, 4139, 3427, 13815, 24705, 1042, 676, 3703, 7027, 585, 8400, 476, 1001, 279, 268, 2641, 563, 763, 1292, 3483, 540, 606, 32751, 542, 568, 547, 10802, 519, 1053, 543, 547, 1491, 1565, 3564, 519, 2185, 6821, 540, 4928, 269, 634, 2832, 540, 891, 15143, 568, 547, 7747, 519, 1641, 538, 922, 2067, 1533, 543, 547, 1174, 519, 1483, 267, 18371, 1158, 269, 2060, 713, 2856, 267, 26186, 1231, 4139, 3427, 814, 23939, 6896, 1082, 2361, 15143, 547, 1039, 1187, 543, 15131, 547, 519, 1641, 2339, 1247, 23429, 519, 8186, 538, 8744, 856, 519, 1655, 856, 540, 519, 1053, 269, 23225, 540, 873, 616, 7396, 2630, 18737, 0, 28319, 559, 538, 513, 9791, 667, 816, 4014, 519, 1292, 1915, 26442, 2131, 658, 14168, 21984, 331, 1231, 568, 711, 513, 13931, 4357, 19792, 267, 646, 568, 2016, 519, 4316, 547, 960, 607, 952, 646, 941, 835, 269, 3509, 540, 519, 2238, 5000, 1053, 547, 2170, 609, 1142, 824, 267, 581, 3860, 543, 1589, 834, 719, 2515, 540, 519, 4216, 2437, 543, 6038, 9787, 1883, 2035, 689, 519, 1257, 676, 834, 4777, 532, 257, 2864, 982, 3274, 4974, 563, 2005, 568, 8886, 908, 950, 1004, 2119, 547, 27682, 1686, 676, 5910, 2056, 602, 2797, 2953, 338, 11498, 552, 27238, 547, 519, 2250, 269, 1358, 1831, 10156, 607, 519, 2956, 540, 519, 1915, 610, 1843, 23229, 563, 763, 476, 736, 11791, 267, 7317, 4928, 2238, 602, 616, 3769, 786, 948, 1053, 1174, 8061, 559, 538, 513, 9791, 667, 816, 538, 1187, 543, 19278, 2081, 269, 8061, 559, 538, 513, 9791, 667, 816, 269, 1809, 267, 789, 849, 3382, 1082, 540, 519, 824, 2152, 1808, 547, 519, 960, 543, 547, 519, 1158, 2221, 563, 3891, 5134, 6412, 338, 3043, 1004, 538, 2489, 543, 3043, 2384, 18779, 538, 1880, 269, 1358, 2154, 811, 2219, 982, 2789, 3903, 2055, 267, 855, 616, 10156, 982, 519, 1557, 2055, 563, 2791, 666, 9192, 3232, 4245, 610, 946, 519, 2093, 1369, 873, 547, 1711, 707, 1378, 2189, 6437, 269, 1879, 519, 1433, 10741, 14168, 814, 4986, 547, 798, 2094, 646, 4503, 1010, 2816, 519, 3105, 1554, 269, 634, 1433, 568, 1360, 28505, 543, 4277, 269, 11545, 16497, 1142, 723, 513, 1808, 6662, 543, 2709, 693, 2547, 1614, 1419, 811, 2081, 547, 4001, 602, 6662, 563, 763, 3126, 568, 2442, 543, 23619, 1134, 269, 634, 2055, 616, 7745, 856, 883, 6810, 267, 865, 789, 1445, 593, 1808, 11271, 1369, 8061, 559, 538, 513, 9791, 667, 816, 563, 29128, 1175, 1354, 519, 1433, 5956, 14168, 814, 5249, 538, 606, 20987, 5663, 2030, 269, 2368, 723, 1557, 2055, 267, 1247, 1866, 616, 3908, 547, 2110, 268, 24978, 2055, 267, 899, 2789, 3903, 267, 12805, 543, 2110, 2626, 2055, 563, 9773, 754, 1513, 3382, 835, 267, 1079, 267, 2185, 267, 543, 5216, 3018, 4559, 269, 14168, 4667, 547, 917, 16764, 543, 814, 513, 2250, 609, 873, 563, 2005, 568, 4277, 547, 4063, 602, 693, 519, 942, 950, 519, 3209, 3217, 1747, 972, 616, 14903, 11396, 3395, 1148, 747, 10280, 267, 22229, 267, 543, 23858, 1063, 25708, 700, 563, 2171, 666, 5635, 543, 4334, 581, 19354, 7260, 543, 1433, 1557, 4217, 596, 538, 3478, 7759, 540, 782, 891, 7965, 602, 4473, 707, 2566, 1377, 538, 519, 6185, 5271, 559, 538, 513, 9791, 667, 816, 4828, 11762, 1299, 5675, 25849, 906, 19124, 17018, 2917, 901, 1305, 540, 7689, 12697, 5161, 540, 5111, 3817, 540, 4255, 267, 1557, 2055, 267, 4245, 267, 543, 824, 3450, 2326, 563, 28319, 559, 538, 513, 9791, 667, 816, 5526, 547, 581, 8076, 711, 1152, 538, 922, 8978, 640, 267, 855, 538, 519, 1259, 621, 7959, 543, 519, 5790, 17018, 2917, 5932, 269, 2755, 2542, 519, 4216, 519, 5467, 568, 2111, 547, 8263, 519, 1268, 320, 540, 14168, 21984, 13530, 543, 1413, 693, 2621, 998, 1010, 4064, 563, 28319, 559, 538, 513, 9791, 667, 816, 568, 513, 3209, 5693, 9112, 1472, 18765, 540, 5198, 269, 9181, 519, 11269, 540, 5198, 1336, 538, 519, 3209, 269, 2422, 519, 1739, 2055, 547, 948, 596, 1265, 513, 1445, 585, 596, 547, 1865, 4481, 538, 707, 8061, 559, 538, 513, 9791, 667, 816, 4828, 563, 16240, 3732, 540, 2079, 1557, 593, 513, 2016, 1888, 834, 28319, 559, 769, 9791, 667, 816, 257, 8061, 559, 538, 9791, 667, 816, 968, 28319, 559, 538, 4544, 10571, 892, 568, 513, 2182, 23017, 9814, 3209, 602, 729, 2854, 676, 19124, 17018, 2917, 269, 898, 269, 8061, 559, 538, 513, 4544, 10571, 1557, 1261, 568, 513, 8938, 32732, 910, 20204, 2025, 3109, 812, 689, 7147, 563, 1103, 519, 3818, 30710, 2486, 519, 10665, 1063, 519, 14797, 267, 2523, 1063, 519, 17051, 543, 16543, 616, 1869, 1629, 2117, 730, 1134, 563, 28319, 559, 538, 513, 9791, 667, 816, 729, 5921, 547, 20006, 513, 2898, 3126, 540, 14168, 21984, 331, 1231, 13655, 269, 898, 1558, 609, 2318, 2565, 3210, 855, 2370, 6905, 2079, 610, 4901, 282, 1906, 1367, 19792, 9089, 723, 1044, 2016, 2673, 21849, 13220, 6185, 5877, 0, 291, 528, 18333, 4303, 630, 6245, 278, 1107, 476, 2735, 271, 264, 729, 606, 1977, 2278, 267, 1514, 19191, 543, 1821, 719, 7826, 1246, 518, 540, 4906, 269, 2701, 729, 513, 13047, 3196, 585, 1514, 543, 2804, 7862, 1759, 856, 540, 1200, 5132, 543, 1995, 540, 2696, 269, 2701, 568, 3743, 538, 1804, 851, 585, 519, 3350, 602, 1869, 6818, 2221, 630, 16838, 1934, 538, 18718, 1633, 14386, 1572, 634, 7826, 4518, 518, 563, 9515, 11339, 513, 2603, 827, 32238, 543, 16650, 2587, 560, 538, 519, 2413, 2085, 267, 799, 1352, 7125, 519, 1279, 20420, 269, 2701, 31234, 602, 1152, 2648, 666, 1205, 721, 856, 540, 519, 1279, 20420, 676, 6679, 938, 4064, 547, 875, 1454, 649, 991, 519, 2648, 540, 2696, 543, 1866, 267, 607, 1134, 607, 519, 4641, 602, 649, 991, 547, 581, 6068, 676, 2696, 543, 1866, 269, 2701, 22617, 956, 689, 519, 24396, 14751, 566, 540, 6754, 945, 3081, 602, 968, 331, 913, 936, 3699, 782, 1919, 892, 689, 476, 272, 29833, 2103, 476, 1724, 281, 272, 268, 1724, 563, 26524, 585, 3742, 8086, 912, 268, 1215, 616, 596, 12592, 547, 2648, 543, 581, 6068, 676, 2696, 543, 676, 1866, 888, 268, 1215, 814, 1373, 6068, 676, 824, 1004, 267, 8118, 596, 547, 519, 9097, 14751, 566, 602, 649, 616, 28222, 6068, 676, 2696, 888, 268, 5808, 616, 596, 10010, 547, 2648, 891, 2395, 2507, 907, 16341, 821, 3116, 286, 606, 10546, 286, 3054, 286, 1920, 286, 2696, 888, 5278, 10530, 689, 16910, 18333, 4303, 779, 12591, 538, 799, 1352, 22617, 956, 609, 519, 10206, 540, 2648, 267, 3028, 267, 17604, 543, 1272, 563, 14071, 723, 782, 1634, 519, 1279, 20420, 543, 649, 723, 4121, 602, 519, 1152, 3070, 568, 2648, 543, 602, 2648, 2501, 609, 2146, 3034, 14881, 2731, 1152, 2648, 2696, 607, 1454, 607, 594, 2648, 519, 1268, 594, 2648, 519, 2547, 3034, 2108, 27094, 5641, 338, 856, 4250, 267, 855, 649, 723, 547, 1205, 936, 519, 4250, 538, 1931, 547, 1205, 2673, 2614, 547, 2648, 873, 563, 2108, 10673, 1406, 5855, 827, 1373, 2500, 269, 3807, 13404, 593, 1373, 21705, 547, 519, 5168, 3034, 2108, 17829, 945, 3112, 1294, 2441, 538, 519, 4057, 616, 19473, 1235, 8197, 269, 9232, 454, 14881, 3494, 602, 649, 1590, 3914, 938, 7015, 267, 2760, 9522, 532, 1524, 938, 4909, 1727, 657, 1431, 267, 855, 5870, 1864, 950, 646, 12134, 547, 581, 1558, 267, 609, 513, 2601, 585, 519, 5132, 602, 568, 538, 721, 267, 607, 1134, 607, 609, 513, 15962, 29059, 585, 873, 607, 14552, 3034, 2108, 10673, 1406, 1289, 803, 513, 23920, 269, 594, 1810, 1406, 1616, 547, 581, 25323, 865, 3362, 3034, 10527, 2631, 540, 13777, 1006, 568, 835, 540, 519, 6574, 859, 2812, 540, 519, 1554, 2507, 10144, 2161, 267, 968, 1432, 666, 835, 1268, 798, 286, 1548, 568, 519, 2631, 540, 938, 1507, 4674, 9495, 1358, 3112, 1294, 602, 649, 666, 1152, 2482, 835, 15839, 693, 513, 942, 267, 1491, 835, 1900, 693, 513, 942, 282, 649, 666, 581, 3743, 1152, 585, 519, 835, 2962, 540, 519, 1459, 4090, 269, 1809, 649, 666, 1917, 585, 606, 2333, 540, 2648, 538, 938, 12271, 602, 786, 4105, 1125, 543, 2981, 782, 938, 1367, 3527, 267, 543, 917, 602, 2696, 786, 1491, 873, 543, 9062, 873, 267, 607, 4906, 16611, 519, 3138, 2314, 543, 24991, 3034, 18658, 649, 1131, 899, 547, 798, 568, 1689, 519, 1158, 1700, 24708, 621, 513, 2370, 12863, 585, 1004, 547, 3049, 267, 804, 6139, 267, 543, 12062, 2933, 607, 2696, 5497, 873, 547, 798, 269, 1656, 267, 676, 8165, 585, 1732, 2175, 267, 676, 24986, 856, 796, 576, 2084, 569, 585, 519, 2924, 540, 519, 4600, 267, 519, 4057, 267, 540, 519, 3186, 3482, 1700, 1492, 2924, 540, 519, 17709, 543, 519, 7938, 20564, 4057, 267, 538, 824, 1913, 1700, 933, 666, 267, 547, 513, 1978, 6708, 267, 1689, 519, 1158, 282, 649, 666, 960, 585, 519, 522, 12118, 267, 519, 2370, 1591, 540, 7772, 543, 4708, 538, 513, 3771, 3072, 1158, 269, 1284, 666, 12235, 938, 890, 321, 1076, 538, 519, 11432, 543, 581, 8746, 602, 922, 2479, 11097, 2287, 5858, 786, 3914, 1472, 519, 1158, 269, 1284, 10956, 267, 972, 568, 4986, 649, 666, 798, 855, 2648, 267, 543, 267, 15210, 2696, 267, 5225, 23822, 938, 12271, 547, 2648, 1142, 824, 267, 547, 2648, 938, 7023, 267, 547, 2648, 938, 10546, 607, 938, 3659, 3034, 2108, 27094, 543, 2479, 811, 2648, 568, 519, 1152, 3070, 547, 1169, 1966, 602, 2501, 909, 563, 28490, 649, 2648, 1142, 824, 2614, 267, 649, 786, 7703, 609, 1142, 824, 779, 24966, 543, 24675, 563, 2252, 649, 2648, 2614, 267, 649, 616, 2469, 547, 1769, 513, 3595, 538, 519, 12271, 540, 1866, 563, 4517, 621, 568, 2648, 602, 786, 6633, 856, 519, 21359, 543, 23998, 338, 602, 521, 5417, 523, 721, 269, 898, 568, 2648, 602, 786, 1118, 721, 1616, 547, 798, 1390, 1919, 585, 1142, 824, 269, 3143, 15093, 543, 1100, 7092, 786, 1287, 3100, 1932, 1454, 1848, 0, 11742, 585, 519, 3791, 3888, 618, 540, 519, 3126, 269, 3689, 267, 649, 5941, 10906, 717, 2532, 749, 779, 3345, 543, 3162, 543, 1287, 2063, 3018, 649, 4682, 936, 8176, 28726, 685, 28563, 752, 5600, 269, 4653, 267, 594, 1459, 596, 519, 20100, 602, 568, 6723, 18379, 582, 779, 5664, 332, 1105, 689, 476, 1960, 275, 269, 3767, 267, 6723, 18379, 582, 568, 835, 540, 519, 1906, 4589, 1004, 616, 8572, 547, 9114, 827, 6616, 267, 1317, 950, 18379, 582, 779, 960, 2501, 909, 538, 6643, 543, 519, 5910, 2105, 3081, 968, 296, 2648, 1010, 960, 892, 596, 917, 513, 264, 789, 723, 1100, 23319, 945, 596, 616, 6158, 827, 610, 536, 264, 789, 616, 19451, 269, 4208, 286, 5221, 6723, 18379, 582, 568, 513, 1352, 267, 711, 513, 646, 269, 18004, 6307, 7788, 27213, 630, 2420, 5437, 476, 8687, 280, 1107, 476, 2420, 5412, 476, 6642, 271, 910, 835, 540, 1250, 5172, 1004, 547, 2671, 513, 14512, 609, 256, 1070, 18379 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1349, 267, 972, 616, 2484, 7864, 2152, 950, 7382, 11544, 609, 824, 989, 10635, 8707, 338, 269, 901, 568, 1317, 7429, 891, 1349, 2861, 2472, 267, 2892, 5390, 997, 3679, 568, 711, 1759, 593, 11950, 602, 666, 2887, 856, 540, 3070, 630, 2181, 27457, 10028, 270, 4148, 665, 1529, 622, 264, 950, 789, 2170, 609, 519, 824, 989, 1258, 13929, 30422, 269, 1306, 971, 267, 2892, 5390, 997, 3679, 10355, 3340, 513, 5094, 1780, 547, 1205, 621, 5196, 519, 16714, 540, 513, 7693, 563, 32101, 10613, 543, 19047, 454, 21946, 5390, 997, 3679, 2861, 19310, 6002, 666, 581, 4294, 547, 7031, 998, 1585, 2409, 267, 1519, 1165, 3511, 838, 7590, 267, 6079, 5574, 267, 543, 3597, 546, 3402, 532, 269, 898, 568, 1898, 547, 1246, 5227, 18262, 4808, 543, 3498, 4626, 902, 585, 6099, 2164, 269, 3958, 267, 621, 568, 2629, 547, 2707, 1164, 7779, 267, 6325, 2472, 689, 18019, 14273, 547, 2327, 12117, 543, 6922, 1047, 1761, 2427, 2360, 563, 29128, 5063, 2472, 5627, 2892, 5390, 997, 3679, 2760, 9765, 513, 7008, 540, 2600, 5834, 269, 901, 607, 1317, 789, 941, 2813, 1210, 519, 3044, 2409, 540, 4744, 6295, 519, 1587, 538, 1216, 269, 901, 2164, 538, 1360, 1804, 13066, 1373, 2838, 547, 1205, 606, 2500, 9570, 5196, 513, 7693, 269, 1717, 267, 661, 583, 516, 2742, 779, 1007, 476, 1321, 269, 276, 260, 6428, 5390, 997, 18729, 1587, 568, 513, 19729, 13404, 609, 513, 2484, 2539, 9570, 2557, 269, 1924, 6705, 991, 547, 3274, 1039, 476, 1911, 268, 1220, 332, 299, 883, 513, 476, 1220, 1396, 516, 7382, 950, 7311, 1776, 1165, 3511, 2126, 547, 1205, 519, 2407, 4324, 540, 2892, 5390, 997, 3679, 13251, 20237, 6114, 563, 1103, 519, 1391, 585, 4264, 543, 14388, 6683, 267, 519, 946, 540, 2892, 5390, 997, 3679, 607, 606, 19310, 3218, 540, 2030, 20237, 6127, 3091, 10373, 1761, 269, 4706, 2702, 547, 5818, 2068, 4187, 267, 4383, 10860, 267, 3986, 2566, 10892, 267, 543, 2087, 11729, 1118, 621, 513, 3407, 10697, 585, 6705, 269, 1635, 6220, 2892, 5390, 997, 3679, 2861, 19310, 6002, 883, 741, 7693, 2359, 2853, 267, 6705, 666, 12260, 519, 2067, 20237, 6127, 540, 2371, 267, 2870, 513, 8902, 543, 811, 11327, 6694, 1062, 563, 3383, 267, 1577, 779, 9784, 519, 1379, 540, 2892, 5390, 997, 3679, 543, 7668, 938, 7031, 547, 8853, 538, 519, 3068, 540, 2591, 267, 7700, 547, 513, 811, 4264, 543, 5150, 1426, 2104, 269, 1280, 811, 1344, 610, 547, 1865, 519, 946, 540, 2892, 5390, 997, 3679, 593, 11396, 5225, 1205, 538, 3346, 609, 661, 583, 516, 2742, 256, 0, 763, 1966, 649, 616, 5466, 568, 519, 3668, 540, 10097, 543, 6325, 1591, 6049, 3028, 585, 1970, 4747, 2043, 543, 3885, 269, 901, 568, 513, 1966, 602, 5540, 6634, 540, 1004, 2066, 519, 2197, 267, 543, 621, 568, 3226, 14733, 538, 6917, 2127, 543, 4683, 7740, 609, 1164, 6710, 3928, 563, 12648, 585, 1383, 513, 2582, 3993, 609, 1079, 1453, 945, 2729, 538, 513, 1970, 13867, 8378, 269, 2701, 1568, 1279, 3108, 547, 1118, 7475, 2743, 543, 12346, 8185, 593, 1200, 1591, 6049, 547, 3251, 4448, 609, 1200, 1453, 267, 2828, 543, 1920, 269, 10251, 267, 1352, 3112, 6488, 7199, 10865, 1591, 6049, 11731, 543, 568, 1419, 7142, 547, 2759, 1394, 593, 824, 30304, 547, 1832, 1200, 6049, 3028, 3742, 269, 634, 1966, 568, 602, 1699, 1591, 6049, 4566, 616, 7199, 267, 543, 1970, 13867, 1004, 945, 991, 1591, 11436, 547, 3251, 4448, 609, 2486, 3112, 6488, 873, 563, 3725, 23428, 540, 519, 3390, 454, 763, 3390, 540, 10097, 543, 6325, 1591, 6049, 2533, 568, 540, 25932, 2956, 538, 2221, 779, 2486, 269, 2060, 519, 3395, 13829, 593, 2029, 267, 1569, 547, 1591, 11436, 814, 1831, 2629, 585, 2792, 267, 2069, 543, 7694, 3255, 269, 8409, 945, 3112, 6488, 513, 5985, 6049, 610, 6325, 3028, 616, 5051, 27797, 538, 741, 2123, 543, 3318, 2729, 269, 901, 3390, 568, 3810, 4143, 607, 621, 568, 513, 2339, 540, 9698, 267, 1514, 5126, 543, 2804, 4316, 4586, 14483, 3070, 547, 519, 1966, 454, 25387, 267, 972, 616, 2229, 17898, 29107, 3292, 602, 1683, 1863, 1591, 11436, 547, 1970, 13867, 3885, 269, 1717, 267, 891, 3292, 1419, 2097, 609, 9993, 267, 971, 607, 3908, 2911, 942, 543, 1239, 6165, 269, 5047, 267, 789, 1152, 3382, 513, 1507, 851, 540, 519, 2551, 269, 1703, 616, 849, 3341, 4660, 1591, 6049, 4566, 602, 2709, 1970, 21057, 3681, 267, 855, 891, 666, 1869, 581, 796, 3530, 27522, 585, 1346, 2713, 538, 6710, 543, 1810, 1406, 1683, 519, 10727, 543, 2298, 540, 3028, 602, 2757, 6049, 4566, 798, 269, 1547, 7351, 3435, 616, 16283, 610, 796, 3530, 27522, 585, 1082, 1970, 13867, 2043, 543, 3885, 4586, 3963, 1281, 519, 1966, 2291, 888, 763, 1966, 540, 3908, 1569, 547, 10097, 543, 6325, 1591, 6049, 2533, 6818, 585, 1896, 4128, 269, 2290, 2601, 568, 602, 519, 26313, 2872, 568, 3810, 13671, 267, 609, 513, 1906, 1804, 3549, 2531, 3215, 519, 2344, 269, 901, 3668, 540, 6735, 5012, 547, 1164, 5777, 543, 3908, 3681, 585, 6800, 269, 6271, 2601, 568, 602, 519, 2229, 814, 711, 2944, 2614, 547, 10038, 519, 2872, 543, 2327, 602, 782, 4892, 723, 1569, 547, 1898, 2533, 269, 7053, 267, 972, 568, 849, 513, 3668, 540, 4656, 543, 1620, 540, 519, 2956, 540, 1569, 547, 5985, 11436, 267, 799, 10419, 340, 919, 519, 1966, 269, 634, 1966, 6818, 1813, 547, 2344, 5834, 267, 13385, 7939, 267, 543, 3668, 540, 1620, 540, 519, 2956, 540, 1591, 11436, 607, 513, 2596, 13766, 540, 1272, 4586, 11405, 1315, 1871, 20790, 454, 1103, 938, 1591, 6049, 4558, 649, 4194, 519, 1966, 540, 4466, 519, 1318, 6049, 609, 519, 1655, 1544, 3514, 269, 1284, 2709, 513, 2647, 2039, 540, 16389, 689, 1114, 12478, 693, 519, 1034, 8013, 5777, 269, 3776, 4558, 2488, 11108, 2533, 609, 938, 8036, 5234, 945, 616, 2141, 4712, 547, 948, 2824, 519, 1655, 5078, 6049, 543, 1544, 547, 2743, 519, 6075, 779, 2115, 269, 1284, 2709, 1312, 2168, 543, 3059, 19269, 267, 1818, 721, 3015, 547, 3025, 563, 5978, 3070, 711, 1152, 13515, 4466, 519, 1655, 11436, 543, 4566, 267, 855, 849, 11498, 547, 1310, 1606, 2297, 2533, 269, 1284, 1683, 6049, 7816, 2533, 609, 938, 14468, 543, 4810, 23390, 585, 1312, 8800, 543, 3301, 3435, 269, 1284, 849, 10950, 22010, 543, 4123, 4507, 267, 5329, 938, 5561, 909, 547, 4266, 609, 519, 5767, 2029, 3466, 563, 5978, 2039, 540, 6049, 17960, 543, 6227, 568, 2034, 547, 9039, 267, 23695, 547, 1169, 1826, 540, 6049, 2139, 593, 519, 2344, 269, 1284, 1174, 602, 1142, 7817, 814, 2189, 2115, 267, 799, 568, 1946, 649, 1683, 10531, 2533, 609, 7840, 9935, 269, 1284, 1683, 938, 5561, 609, 606, 11108, 10918, 1995, 267, 4180, 476, 1911, 260, 9547, 1256, 1310, 6718, 563, 5475, 1210, 938, 3070, 267, 519, 6075, 786, 1995, 513, 1713, 6454, 538, 519, 32636, 540, 741, 5985, 3457, 269, 3776, 2533, 2743, 519, 2115, 540, 1142, 7817, 609, 606, 3773, 5905, 540, 10531, 3007, 269, 3776, 835, 3613, 641, 6879, 641, 585, 782, 6049, 1644, 2152, 267, 1519, 7816, 2533, 267, 18175, 10232, 267, 15377, 543, 1569, 528, 1944, 267, 5036, 721, 6306, 689, 519, 6735, 563, 5978, 3070, 568, 11108, 1317, 621, 3091, 513, 31484, 548, 6954, 10918, 1995, 609, 519, 1655, 2009, 3928, 267, 11108, 6075, 3028, 543, 1283, 27677, 577, 1310, 1606, 2297, 2533, 269, 1284, 711, 1152, 2743, 267, 855, 9765, 938, 5561, 685, 6788, 267, 6028, 873, 6126, 543, 13854, 609, 741, 16306, 689, 938, 4558, 563, 268, 6496, 713, 2731, 4194, 519, 1966, 5941, 286, 1107, 8786, 267, 938, 3070, 2488, 513, 835, 3613, 641, 6879, 641, 585, 782, 6049, 5829, 2152, 267, 1818, 519, 1184, 540, 9140, 543, 28472, 11436, 31484, 548, 6954, 563, 268, 1772, 519, 3070, 865, 1434, 602, 519, 6075, 786, 798, 4376, 547, 1205, 621, 286, 1107, 8786, 267, 938, 10531, 2533, 543, 14222, 1310, 1606, 2297, 2533, 10018, 476, 1911, 260, 6075, 9547, 267, 799, 814, 3366, 5561, 547, 3442, 721, 1657, 824, 8637, 563, 268, 1215, 786, 519, 6075, 1745, 1310, 1210, 519, 3070, 286, 1107, 634, 6075, 786, 1745, 13854, 543, 1543, 267, 8746, 538, 741, 6718, 543, 519, 2533, 3177, 563, 268, 1772, 519, 3070, 5863, 286, 1107, 25999, 267, 938, 4558, 2488, 513, 2347, 10189, 585, 782, 6049, 1644, 2152, 267, 1818, 621, 606, 14222, 3070, 538, 519, 2344, 563, 2690, 938, 1591, 6049, 4558, 267, 519, 2698, 2450, 540, 519, 2232, 762, 2344, 568, 1271, 269, 4340, 547, 2487, 2090, 267, 519, 2518, 5985, 6049, 2344, 2450, 729, 12595, 693, 1547, 10463, 2558, 11669, 538, 476, 1708, 271, 543, 568, 15810, 547, 3914, 1547, 5379, 2558, 11669, 676, 476, 1708, 277, 563, 5978, 2344, 9619, 568, 5631, 1500, 909, 540, 7085, 3317, 10118, 543, 2637, 2098, 2551, 538, 4683, 2127, 269, 1452, 5561, 616, 5260, 11803, 543, 3747, 1164, 15134, 16389, 609, 3728, 4950, 14479, 543, 1279, 6007, 1272, 269, 1358, 616, 4712, 547, 6108, 513, 9645, 2179, 540, 2724, 585, 519, 5767, 6639, 19269, 543, 17960, 563, 28275, 513, 1870, 538, 713, 2344, 568, 513, 1434, 2856, 1813, 547, 519, 3395, 3747, 585, 16389, 267, 14342, 267, 543, 824, 5985, 3457, 269, 4340, 547, 6465, 16695, 267, 519, 1297, 540, 16335, 3755, 5001, 568, 4397, 547, 3914, 476, 274, 269, 279, 5479, 676, 476, 1708, 272, 269, 901, 2208, 568, 23185, 676, 2188, 971, 607, 519, 3395, 8560, 540, 1514, 2923, 267, 18297, 2533, 543, 552, 19645, 563, 763, 5985, 6049, 2344, 568, 3384, 6385, 267, 1007, 543, 5499, 3631, 616, 5950, 4749, 269, 634, 6521, 689, 2757, 3457, 547, 16389, 814, 1044, 11141, 267, 609, 811, 1004, 1904, 532, 585, 2934, 593, 2834, 11436, 563, 1103, 2474, 540, 6075, 18515, 547, 2628, 267, 649, 723, 4857, 1079, 1292, 12415, 281, 1164, 15134, 5561, 543, 6578, 23655, 5561, 269, 4400, 15134, 5561, 616, 8348, 547, 2628, 14167, 5777, 585, 519, 5767, 3631, 543, 17960, 267, 1247, 6578, 23655, 5561, 616, 3168, 585, 10097, 3681, 609, 8766, 2934, 563, 2414, 19472, 713, 2344, 267, 649, 5342, 2344, 1382, 676, 7421, 6075, 2623, 267, 15712, 267, 543, 2872, 3466, 269, 3776, 2079, 814, 3254, 602, 972, 568, 513, 1713, 4316, 547, 7001, 2344, 2671, 538, 713, 2872, 563, 268, 634, 2518, 5985, 6049, 2344, 2450, 729, 12595, 693, 1547, 10463, 18265, 538, 476, 1708, 271, 563, 268, 634, 1297, 540, 16335, 3755, 5001, 568, 4397, 547, 3914, 476, 274, 269, 279, 5479, 676, 476, 1708, 272, 563, 268, 3776, 2344, 9619, 5097, 5161, 540, 7085, 3317, 10118, 543, 19087, 2098, 538, 4683, 2127, 563, 268, 634, 5985, 6049, 2344, 568, 3384, 6385, 267, 1007, 543, 5499, 3631, 616, 5950, 4749, 563, 268, 4400, 15134, 5561, 543, 6578, 23655, 5561, 616, 8348, 547, 2628, 585, 16389, 563, 5978, 1591, 6049, 4558, 13333, 593, 513, 1463, 3562, 15926, 10179, 2203, 267, 9513, 513, 3099, 540, 1591, 6049, 2472, 267, 17960, 543, 2533, 547, 938, 5561, 269, 1284, 723, 1079, 3119, 2959, 540, 8907, 281, 6455, 543, 18203, 563, 5978, 4558, 11438, 513, 2039, 540, 1591, 6049, 2472, 689, 1585, 12478, 267, 1519, 519, 5767, 3631, 267, 14468, 840, 24804, 11436, 543, 6578, 3681, 269, 1284, 849, 6133, 513, 3099, 540, 17960, 267, 971, 607, 2665, 267, 5056, 619, 267, 543, 5496, 2149, 832, 269, 3776, 6455, 4640, 568, 547, 2709, 8013, 5777, 3379, 547, 824, 21625, 543, 2228, 8637, 267, 1247, 26724, 6075, 1995, 543, 9547, 563, 268, 1284, 1544, 547, 5352, 8907, 689, 938, 3309, 1899, 540, 1591, 6049, 2472, 267, 17960, 543, 2533, 267, 609, 606, 4397, 1101, 1032, 8907, 540, 476, 271, 267, 1822, 563, 268, 3776, 1591, 6049, 1587, 6455, 616, 4397, 547, 581, 938, 1292, 8907, 11718, 267, 8051, 585, 476, 3199, 260, 540, 938, 2698, 8907, 563, 1103, 1840, 547, 6455, 267, 649, 2709, 5985, 6049, 7816, 2533, 585, 938, 5561, 269, 3776, 7816, 2533, 1331, 5496, 5372, 906, 267, 6007, 5372, 906, 267, 1216, 3441, 18203, 267, 543, 811, 269, 1284, 849, 2709, 1863, 10368, 2533, 267, 3246, 5561, 609, 513, 2312, 1620, 540, 519, 1966, 1354, 1022, 18203, 616, 1500, 563, 268, 1284, 2503, 547, 5352, 8907, 689, 938, 7816, 2533, 267, 8204, 476, 736, 260, 540, 938, 2698, 8907, 563, 268, 3962, 7816, 3028, 786, 581, 9901, 1759, 593, 519, 1826, 540, 6049, 543, 519, 1808, 7816, 2877, 267, 8151, 689, 547, 476, 271, 563, 14454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31055, 281, 901, 2882, 3790, 30309, 538, 5009, 513, 1870, 267, 971, 607, 1820, 10229, 267, 2228, 10229, 267, 543, 1857, 1894, 563, 268, 2961, 9276, 281, 901, 2882, 519, 1942, 540, 5665, 513, 1286, 585, 1870, 5301, 267, 971, 607, 3154, 267, 18203, 267, 543, 6142, 563, 268, 3493, 21090, 281, 901, 568, 519, 16795, 6175, 538, 519, 1871, 540, 606, 10697, 936, 942, 269, 24371, 666, 20952, 28595, 593, 7221, 602, 789, 946, 538, 741, 1870, 563, 268, 16811, 23934, 281, 901, 2882, 519, 1942, 540, 10519, 532, 3937, 585, 1870, 5301, 267, 971, 607, 5904, 267, 23252, 267, 543, 2645, 563, 268, 13751, 543, 8051, 12375, 281, 901, 2882, 519, 1942, 540, 17849, 17864, 543, 2272, 1218, 547, 1683, 2533, 547, 513, 1870, 563, 268, 2725, 1023, 543, 9913, 281, 901, 2882, 519, 1942, 540, 6980, 543, 9913, 602, 616, 30309, 538, 519, 1576, 540, 10647, 1870, 563, 268, 8433, 7727, 281, 901, 2882, 519, 1942, 540, 7727, 602, 616, 1031, 538, 519, 5604, 267, 971, 607, 1957, 267, 23445, 267, 543, 25411, 1255, 563, 268, 681, 550, 281, 901, 2882, 519, 1942, 540, 10519, 532, 513, 2679, 610, 2230, 585, 1870, 5301, 563, 268, 6428, 2456, 543, 13848, 281, 901, 2882, 519, 1942, 540, 9878, 5520, 585, 741, 960, 563, 268, 7780, 1988, 281, 901, 2882, 519, 1942, 540, 20848, 267, 971, 607, 5201, 267, 3154, 267, 543, 1216, 267, 602, 616, 1031, 538, 519, 1870, 563, 2414, 581, 20952, 1043, 267, 513, 1870, 13258, 1590, 581, 912, 268, 18103, 2435, 543, 2556, 281, 901, 1797, 602, 519, 13258, 568, 1455, 543, 7608, 538, 519, 1870, 2146, 543, 602, 621, 568, 2556, 585, 519, 1870, 547, 7500, 563, 268, 6034, 569, 1644, 547, 519, 1870, 281, 901, 1797, 602, 519, 13258, 568, 30309, 538, 4276, 609, 519, 1870, 543, 602, 621, 568, 711, 513, 2123, 13258, 563, 268, 11657, 566, 281, 634, 1870, 1590, 1832, 5638, 547, 1489, 519, 17429, 794, 540, 1022, 13258, 269, 901, 2882, 2256, 328, 14186, 267, 1045, 7860, 267, 543, 824, 12319, 602, 2982, 519, 2179, 540, 519, 13258, 543, 519, 4266, 621, 729, 30309, 563, 19968, 525, 666, 20952, 9276, 593, 741, 3454, 7024, 547, 2569, 519, 2179, 540, 3454, 602, 789, 28297, 269, 634, 2179, 540, 519, 17429, 794, 786, 4096, 593, 519, 1826, 540, 13258, 543, 519, 1870, 779, 4747, 563, 2080, 616, 930, 3606, 4388, 585, 19101, 1870, 9276, 912, 268, 5901, 1434, 5638, 281, 634, 594, 11965, 3340, 4213, 547, 1832, 5638, 547, 1489, 741, 17429, 2388, 269, 901, 2882, 2256, 328, 14186, 267, 1045, 7860, 267, 543, 824, 12319, 602, 2982, 519, 2179, 540, 519, 13258, 543, 519, 4266, 621, 729, 30309, 563, 268, 2142, 6896, 281, 898, 568, 1271, 547, 581, 6896, 950, 19101, 1870, 9276, 269, 901, 786, 948, 596, 547, 1832, 3950, 540, 707, 9276, 543, 547, 1118, 2386, 602, 596, 616, 19101, 782, 540, 519, 17429, 2388, 602, 596, 616, 13886, 547, 563, 268, 13185, 547, 513, 3454, 25129, 281, 1403, 596, 723, 1022, 2055, 827, 19101, 1870, 9276, 267, 621, 568, 513, 1434, 2856, 547, 2911, 547, 513, 3454, 25129, 269, 1358, 666, 948, 596, 547, 1174, 519, 3454, 4031, 543, 547, 1118, 2386, 602, 596, 616, 19101, 782, 540, 519, 17429, 2388, 602, 596, 616, 13886, 547, 563, 3528, 1739, 891, 4388, 267, 596, 666, 1118, 2386, 602, 596, 616, 19101, 782, 540, 519, 1870, 9276, 602, 596, 616, 13886, 547, 543, 602, 596, 616, 10893, 707, 3454, 15668, 563, 2080, 616, 930, 1455, 1870, 9276, 602, 616, 711, 20952, 1043, 912, 268, 674, 1149, 543, 20507, 281, 901, 2882, 22717, 543, 20507, 602, 616, 13684, 676, 519, 2229, 267, 971, 607, 6808, 17914, 543, 18736, 17914, 563, 268, 717, 22284, 281, 901, 2882, 13344, 602, 616, 2016, 547, 7218, 610, 5561, 267, 8259, 789, 616, 30572, 3688, 602, 616, 2016, 2476, 693, 1100, 5279, 563, 268, 5851, 5604, 9276, 281, 901, 2882, 9276, 602, 616, 30309, 585, 513, 1753, 5604, 602, 568, 1031, 585, 1870, 5301, 267, 971, 607, 513, 6712, 540, 519, 20251, 1719, 543, 3959, 9204, 563, 268, 6764, 1515, 618, 5829, 9276, 281, 901, 2882, 9276, 602, 616, 30309, 607, 513, 1267, 540, 513, 9659, 267, 971, 607, 2564, 9276, 543, 6283, 9276, 563, 268, 9314, 593, 12029, 281, 901, 2882, 1719, 602, 568, 6976, 593, 12029, 602, 616, 1031, 585, 2123, 5301, 267, 971, 607, 513, 1286, 10211, 610, 513, 20251, 563, 268, 9608, 9276, 281, 901, 2882, 9276, 602, 616, 711, 1644, 547, 519, 1870, 267, 971, 607, 1426, 267, 7802, 267, 543, 9913, 563, 2005, 568, 1271, 547, 4063, 602, 713, 568, 711, 606, 29882, 1592, 540, 782, 540, 519, 9276, 602, 616, 711, 20952, 1043, 269, 1403, 596, 616, 18516, 2436, 606, 13258, 568, 20952, 1043, 267, 621, 568, 1655, 547, 5077, 609, 513, 3454, 25129, 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 ]

[ 713, 9159, 7328, 269, 6787, 4767, 689, 519, 521, 573, 3894, 610, 4810, 20250, 593, 519, 2361, 267, 1135, 334, 3762, 606, 30170, 12705, 267, 13830, 519, 12271, 540, 1346, 6537, 547, 922, 2189, 11100, 540, 30483, 543, 10761, 563, 11902, 17988, 19484, 519, 2717, 334, 23721, 454, 304, 272, 1215, 1279, 568, 513, 3044, 1135, 334, 6474, 888, 288, 3044, 1135, 334, 6474, 13408, 2185, 547, 3670, 669, 4157, 24329, 267, 1142, 9434, 476, 278, 3764, 269, 1452, 5712, 267, 5309, 9822, 730, 676, 9397, 267, 13686, 519, 16608, 543, 4640, 2838, 585, 519, 3014, 563, 304, 273, 2052, 4896, 1404, 1135, 334, 267, 610, 568, 621, 12600, 547, 1978, 2516, 888, 4407, 13840, 2404, 609, 16918, 10580, 267, 1082, 1135, 334, 15731, 5001, 2709, 8537, 3292, 269, 30488, 666, 1569, 4245, 543, 2606, 7886, 267, 1818, 1135, 334, 3015, 547, 513, 6626, 5304, 563, 304, 274, 3657, 1135, 334, 533, 23888, 513, 1808, 9742, 267, 610, 666, 1022, 7504, 581, 8036, 585, 1135, 334, 888, 21691, 334, 533, 23888, 616, 513, 7463, 9742, 267, 1419, 513, 3575, 540, 9488, 321, 1042, 543, 2199, 14981, 269, 2755, 824, 14981, 666, 581, 8036, 267, 519, 1808, 7569, 540, 1135, 334, 1419, 3870, 9640, 26870, 585, 519, 7328, 563, 304, 275, 1772, 1135, 334, 513, 5906, 7328, 888, 12024, 1022, 1226, 652, 6929, 2534, 267, 1135, 334, 11438, 7915, 4220, 269, 1717, 267, 609, 1697, 2866, 267, 15984, 547, 3106, 10873, 267, 543, 1134, 0, 290, 2314, 543, 4325, 548, 6139, 916, 589, 32001, 883, 4653, 779, 13985, 28875, 543, 12815, 1849, 23660, 454, 290, 1511, 543, 4325, 548, 582, 1335, 19725, 595, 2314, 666, 1106, 950, 5594, 15755, 1216, 4744, 11510, 513, 19729, 4224, 267, 971, 607, 14680, 269, 4826, 602, 24865, 607, 11811, 666, 30620, 883, 513, 13946, 267, 9561, 15702, 3327, 8166, 547, 519, 13946, 2011, 269, 901, 3029, 513, 30305, 16005, 267, 1572, 513, 884, 548, 582, 1335, 267, 2356, 7768, 540, 519, 7777, 18287, 924, 630, 25519, 4596, 274, 1040, 1306, 789, 1332, 630, 20200, 1227, 1447, 982, 835, 4627, 628, 540, 606, 10759, 829, 1032, 1070, 884, 548, 6139, 916, 31391, 513, 1686, 540, 519, 13946, 543, 540, 2825, 2175, 693, 519, 2627, 269, 19232, 16438, 1493, 3194, 853, 531, 698, 2466, 525, 616, 519, 2186, 540, 884, 548, 582, 1335, 602, 9428, 16057, 689, 519, 6989, 540, 513, 13946, 269, 1358, 666, 8362, 1332, 585, 7366, 540, 5215, 540, 1296, 269, 634, 3337, 543, 3114, 5888, 540, 513, 26106, 698, 332, 924, 5673, 538, 851, 593, 519, 2825, 2175, 1657, 513, 13946, 630, 324, 3052, 269, 2837, 267, 11811, 267, 543, 10664, 1826, 1040, 2776, 322, 1047, 6482, 540, 513, 2208, 4494, 689, 513, 26106, 698, 332, 924, 585, 24745, 602, 9178, 936, 942, 267, 971, 607, 3327, 268, 1691, 267, 20879, 268, 24487, 267, 543, 5247, 1756, 268, 15996, 267, 1450, 585, 519, 2085, 540, 602, 2208, 4494, 547, 581, 7229, 269, 1452, 7403, 2154, 1507, 5439, 540, 519, 26106, 698, 332, 924, 18287, 924, 547, 581, 13939, 267, 2901, 676, 606, 12747, 30562, 650, 610, 676, 5959, 16590, 543, 513, 11001, 609, 513, 1360, 11931, 1688, 269, 589, 26106, 698, 332, 924, 3444, 16687, 267, 25541, 585, 20879, 267, 5247, 1756, 267, 543, 824, 24745, 267, 666, 581, 2938, 593, 519, 1318, 269, 19371, 10824, 267, 5116, 593, 1283, 540, 8362, 3395, 26106, 698, 2466, 525, 585, 513, 3923, 693, 513, 942, 630, 16308, 2630, 1070, 1450, 721, 547, 20586, 543, 17048, 2110, 11996, 540, 18287, 924, 2208, 538, 513, 13946, 269, 901, 2337, 2520, 657, 2615, 1235, 3313, 875, 2242, 693, 519, 2627, 616, 10630, 538, 519, 2208, 543, 5888, 540, 26106, 698, 2466, 525, 269, 4325, 548, 582, 1335, 12618, 454, 288, 26106, 716, 924, 568, 513, 2186, 540, 884, 548, 582, 1335, 602, 9428, 689, 519, 13946, 18109, 18746, 269, 590, 18649, 3613, 3863, 26106, 716, 2572, 616, 6094, 13740, 602, 1332, 18746, 607, 1216, 8928, 998, 741, 4099, 269, 1879, 513, 17366, 339, 540, 1216, 3338, 593, 513, 4396, 2627, 538, 519, 13946, 267, 2554, 23035, 540, 3327, 8166, 689, 519, 1216, 11479, 519, 2208, 540, 18287, 924, 16057, 538, 30305, 26106, 698, 2466, 525, 269, 16828, 267, 513, 12450, 949, 1831, 17808, 267, 16550, 1216, 547, 2095, 1524, 519, 3544, 540, 519, 14614, 12450, 269, 901, 3029, 513, 1826, 540, 26106, 716, 924, 1572, 513, 968, 8364, 8527, 1848, 3683, 942, 267, 519, 26106, 698, 332, 924, 786, 1332, 26339, 267, 607, 1007, 18287, 924, 568, 3773, 547, 519, 1283, 543, 5011, 540, 519, 5250, 269, 634, 3337, 540, 513, 26106, 698, 332, 924, 568, 8200, 593, 875, 2484, 519, 12772, 540, 1216, 2887, 689, 519, 13946, 18109, 267, 519, 2179, 540, 942, 1063, 5671, 1186, 267, 519, 30620, 1216, 779, 3114, 5888, 267, 543, 519, 5888, 540, 519, 13946, 2011, 269, 1306, 1216, 5170, 547, 2095, 267, 713, 31577, 786, 1831, 513, 1804, 26106, 716, 924, 267, 1134, 268, 576, 7757, 547, 519, 18109, 269, 1879, 513, 26106, 716, 924, 267, 3395, 1524, 2072, 267, 10742, 513, 26106, 698, 332, 924, 3395, 20733, 267, 789, 2253, 547, 1106, 513, 6241, 269, 589, 2759, 543, 25509, 6241, 630, 2431, 264, 5638, 513, 7294, 3308, 1686, 540, 713, 9769, 269, 2052, 596, 1294, 519, 1283, 540, 519, 26106, 698, 332, 924, 693, 519, 942, 519, 6241, 4646, 286, 2052, 596, 1294, 519, 10250, 540, 519, 3312, 14614, 12450, 693, 519, 4099, 540, 519, 26106, 716, 924, 286, 966, 611, 846, 610, 1912, 805, 545, 888, 9773, 322, 924, 666, 1332, 1657, 519, 1216, 3349, 630, 514, 519, 642, 611, 846, 7997, 264, 610, 2630, 519, 1216, 3349, 630, 514, 519, 943, 805, 545, 7997, 1040, 1548, 616, 519, 4162, 540, 1142, 286, 2353, 26106, 698, 2466, 525, 543, 26106, 716, 2572, 1106, 689, 5671, 6137, 1216, 538, 519, 642, 611, 846, 7997, 269, 968, 290, 1511, 1402, 25468, 2223, 2938, 2630, 543, 593, 519, 1951, 704, 344, 5250, 538, 519, 5580, 2451, 267, 1106, 538, 2127, 540, 519, 13946, 602, 10929, 21381, 1765, 18034, 1141, 2011, 568, 3001, 269, 1323, 11606, 540, 13946, 1402, 25468, 1522, 581, 513, 1129, 540, 513, 7404, 13675, 610, 1507, 8574, 3118, 256, 10261, 548, 6438, 1035, 7781, 14848, 630, 10964, 578, 264, 543, 18287, 924, 838, 541, 630, 2431, 264, 616, 2938, 3395, 538, 782, 8846, 267, 4761, 547, 519, 3310, 540, 8904, 269, 1452, 14848, 1152, 1332, 14015, 267, 538, 519, 943, 805, 545, 7997, 269, 17291, 1141, 642, 611, 846, 543, 943, 805, 545, 2934, 2049, 666, 948, 19586, 513, 3148, 779, 27230, 1686, 269, 6764, 739, 619, 256, 1452, 1079, 968, 560, 531, 698, 2466, 525, 892, 1705, 711, 1332, 538, 513, 13946, 269, 2274, 1136, 1216, 689, 513, 7404, 32446, 829, 3712, 730, 998, 519, 32446, 779, 9160, 5748, 269, 901, 694, 9429, 1216, 15702, 7513, 12547, 630, 25519, 302, 264, 689, 519, 9160, 267, 8108, 513, 1360, 22279, 7513, 28355, 630, 25519, 15121, 264, 3070, 269, 1879, 713, 1216, 5671, 5529, 883, 513, 25810, 4055, 2630, 519, 32446, 267, 621, 12842, 3327, 8166, 538, 519, 2011, 547, 1106, 891, 18287, 924, 21272, 269, 31158, 1578, 906, 1284, 1131, 899, 547, 9684, 519, 1739, 1004, 543, 3906, 585, 519, 7418, 602, 1500, 713, 8858, 2009, 281, 27347, 1117, 10466, 4972, 540, 634, 4975, 540, 21388, 267, 4826, 543, 7025, 3194, 4659, 540, 519, 5375, 623, 659, 604, 328, 12953, 322, 693, 519, 2160, 540, 2871, 600, 267, 7025, 3163, 4659, 540, 29031, 21388, 267, 589, 5746, 31173, 267, 18095, 6929, 7025, 269, 634, 5411, 267, 9946, 543, 5234, 693, 28740, 6611, 6970, 591, 333, 267, 7849, 15167, 6970, 591, 985, 267, 4639, 322, 1511, 3465, 2925, 267, 543, 29190, 9453, 513, 8745, 269, 5071, 543, 2257, 676, 2818, 540, 519, 14465, 1676, 3194, 6828, 269, 17461, 17421, 281, 7849, 15167, 6970, 591, 985, 267, 12253, 21634, 534, 267, 476, 1001, 276, 0, 763, 4417, 540, 1514, 2923, 814, 9927, 875, 1004, 2170, 543, 1921, 609, 1142, 824, 2228, 269, 15107, 13257, 899, 9365, 267, 12108, 267, 23749, 267, 543, 1082, 1866, 723, 1500, 621, 2009, 585, 3755, 2066, 519, 8608, 547, 2097, 1927, 267, 2671, 741, 4555, 267, 543, 1628, 2950, 1472, 8994, 4690, 610, 3123, 269, 1306, 1514, 2923, 5170, 547, 11753, 4514, 883, 2413, 1272, 267, 2228, 2950, 723, 1831, 513, 4105, 851, 540, 519, 3059, 5251, 563, 3719, 875, 4010, 798, 891, 1514, 2923, 2950, 8451, 543, 1491, 3337, 286, 1548, 4229, 5397, 741, 5250, 543, 2208, 286, 901, 2376, 786, 2263, 519, 1883, 2188, 543, 6384, 3238, 538, 519, 5137, 540, 14762, 1514, 2923, 2950, 563, 414, 501, 376, 634, 22547, 540, 4317, 9012, 18877, 454, 763, 1764, 540, 1514, 2923, 593, 2792, 267, 1870, 267, 6214, 543, 2528, 814, 1044, 5963, 7096, 269, 2060, 17542, 540, 3755, 2066, 5867, 899, 13334, 267, 17749, 267, 21912, 1103, 543, 28607, 27717, 267, 1514, 2923, 814, 4957, 519, 1360, 5958, 540, 2486, 676, 14123, 1007, 2081, 585, 1004, 547, 2170, 267, 2769, 2933, 543, 26595, 936, 3838, 18653, 610, 3853, 269, 27933, 560, 519, 26093, 1158, 540, 1514, 2923, 9114, 922, 1034, 10475, 21889, 910, 2228, 2950, 563, 12892, 2923, 2950, 3277, 547, 2516, 540, 1004, 945, 5781, 4497, 609, 1142, 824, 998, 1585, 1514, 2923, 5867, 1472, 513, 1455, 6249, 267, 1719, 610, 3483, 269, 1306, 1514, 2923, 6165, 1011, 10757, 538, 519, 476, 1220, 271, 338, 267, 621, 13087, 899, 16490, 2043, 547, 1265, 1142, 824, 2228, 543, 7249, 26021, 538, 5691, 5624, 1141, 789, 1223, 1489, 267, 1217, 543, 8300, 835, 1776, 269, 3245, 13395, 15908, 2516, 593, 9365, 547, 5001, 5322, 899, 1948, 14937, 299, 1161, 300, 2660, 8375, 547, 23146, 593, 12108, 267, 1514, 2923, 814, 10114, 3293, 519, 5250, 540, 7961, 10179, 762, 2228, 2950, 563, 19465, 513, 2631, 540, 2146, 543, 1480, 4276, 568, 4105, 267, 2523, 538, 2221, 781, 5051, 7857, 1242, 1158, 269, 4317, 2923, 2950, 1404, 513, 1883, 1909, 538, 16180, 713, 4909, 1480, 991, 585, 10362, 676, 8744, 1927, 1004, 945, 949, 6382, 2760, 3444, 10092, 269, 1635, 3246, 513, 2230, 1141, 3755, 666, 2671, 1702, 267, 5385, 2093, 267, 1205, 1489, 543, 1118, 6209, 4296, 1472, 741, 2127, 540, 1719, 267, 1514, 2923, 2950, 3136, 547, 2981, 519, 3059, 5251, 563, 272, 269, 634, 32010, 17086, 19992, 4317, 9012, 18877, 454, 288, 1297, 540, 2188, 18663, 543, 7520, 519, 5137, 540, 1514, 2923, 2950, 269, 4197, 891, 6117, 4229, 2488, 3407, 5813, 883, 875, 2228, 2950, 1491, 3337, 543, 8853, 563, 414, 508, 353, 32655, 9314, 338, 543, 20122, 9812, 454, 13349, 4690, 543, 12348, 1106, 519, 4493, 585, 9118, 30436, 1514, 2923, 2950, 269, 3245, 13395, 4690, 899, 32446, 23445, 543, 7344, 1883, 15236, 547, 2527, 18653, 899, 9413, 267, 5026, 543, 3381, 3756, 910, 3838, 4690, 26595, 1004, 2066, 519, 4950, 899, 4986, 3116, 563, 5522, 520, 13257, 899, 23749, 616, 3710, 7357, 1472, 1719, 2861, 2950, 1634, 607, 1016, 1042, 323, 1080, 269, 1280, 3236, 267, 678, 22077, 20667, 303, 839, 814, 936, 476, 4968, 267, 1822, 2818, 4687, 741, 2648, 585, 32446, 23445, 1247, 678, 270, 9288, 22817, 7659, 15236, 19646, 811, 982, 476, 8517, 267, 1822, 2818, 269, 6270, 2950, 1450, 12439, 547, 2620, 4685, 883, 741, 13395, 12348, 267, 1205, 5796, 689, 8284, 11655, 267, 13686, 13144, 543, 1265, 513, 2631, 540, 10362, 538, 519, 3059, 1158, 563, 4002, 513, 9962, 4336, 267, 5867, 899, 9365, 2516, 543, 13334, 9055, 10704, 1472, 2442, 12348, 2285, 6634, 540, 3755, 5624, 585, 6209, 4205, 609, 899, 16490, 2043, 269, 634, 2518, 18451, 18709, 540, 4690, 899, 13558, 267, 12202, 610, 17539, 5849, 602, 1514, 2923, 6087, 12439, 547, 16900, 1921, 543, 2671, 2066, 10923, 6302, 563, 414, 508, 353, 32655, 17644, 543, 1306, 2869, 725, 454, 4537, 1563, 3853, 267, 3123, 610, 17050, 616, 849, 30140, 3532, 15314, 585, 519, 5250, 540, 1514, 2923, 2950, 269, 6787, 621, 568, 5885, 12790, 2516, 267, 8165, 2916, 1689, 610, 5807, 2069, 910, 13730, 2043, 4749, 26595, 538, 5691, 5624, 547, 960, 2509, 513, 3838, 5075, 563, 763, 1948, 14937, 299, 1161, 300, 2660, 9365, 1895, 267, 585, 3236, 267, 814, 936, 476, 6110, 267, 1822, 2818, 25640, 3646, 543, 12180, 17933, 23518, 676, 519, 17604, 540, 513, 1455, 2014, 269, 6684, 267, 2228, 2916, 17933, 2950, 899, 6987, 8012, 31052 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 616, 1483, 25251, 1004, 563, 278, 269, 1703, 616, 930, 25251, 2367, 610, 2021, 616, 1175, 2786, 610, 14447, 270, 956, 15487, 269, 634, 2601, 1946, 789, 1831, 25251, 568, 1317, 789, 1616, 547, 2263, 1018, 621, 779, 899, 547, 581, 835, 540, 873, 563, 279, 269, 1703, 616, 849, 930, 2786, 610, 14447, 270, 956, 15487, 609, 3006, 1265, 513, 7649, 540, 513, 1114, 4008, 547, 1152, 723, 513, 4638, 2078, 609, 563, 280, 269, 2368, 2786, 610, 14447, 270, 956, 15487, 917, 602, 789, 616, 1018, 789, 4857, 547, 581, 267, 855, 786, 723, 513, 7287, 585, 2348, 3023, 609, 1776, 4008, 269, 1717, 267, 930, 540, 873, 786, 2760, 1450, 2933, 547, 798, 621, 563, 1015, 269, 1280, 930, 2786, 2021, 267, 789, 949, 798, 8726, 547, 5225, 741, 5256, 7649, 267, 1519, 723, 3023, 609, 824, 2021, 267, 799, 2306, 873, 25251, 338, 563, 2467, 949, 723, 811, 2010, 540, 25251, 338, 267, 596, 1175, 991, 547, 581, 596, 543, 2661, 519, 1272, 596, 7287, 585, 269, 1635, 519, 1259, 267, 952, 596, 1616, 547, 1265, 811, 25251, 4891, 267, 25251, 6580, 4609, 949, 581, 519, 1655, 1747, 585, 596, 547, 979, 269, 0, 763, 13198, 345, 517, 26439, 545, 20211, 568, 513, 5832, 540, 22747, 538, 513, 5087, 1700, 338, 1926, 1899, 2066, 519, 13198, 345, 517, 26463, 689, 15990, 547, 13198, 345, 517, 269, 634, 2012, 834, 299, 15120, 517, 26439, 545, 20211, 257, 729, 1101, 6069, 676, 14161, 14332, 514, 1696, 620, 269, 547, 4766, 513, 3126, 540, 21007, 18152, 547, 2487, 22747, 1813, 547, 7532, 1189, 1016, 9134, 2059, 519, 2494, 10042, 570, 3402, 585, 5111, 476, 272, 267, 1220, 5998, 689, 519, 26066, 16186, 538, 15990, 5045, 547, 7013, 9650, 19660, 538, 519, 13372, 269, 11866, 602, 1106, 851, 540, 519, 9095, 616, 519, 8109, 26066, 16186, 540, 15990, 267, 5682, 6816, 267, 15990, 267, 2107, 577, 573, 6816, 267, 18087, 582, 2967, 9412, 267, 631, 822, 644, 529, 610, 962, 262, 9564, 6816, 267, 631, 629, 644, 529, 267, 13961, 18885, 6816, 267, 898, 321, 599, 520, 6816, 267, 4144, 690, 334, 6816, 267, 15506, 534, 6816, 267, 1133, 24887, 18962, 25592, 7795, 657, 267, 17939, 339, 836, 6816, 267, 9040, 8500, 534, 267, 9894, 545, 553, 267, 6682, 580, 340, 514, 6816, 269, 2311, 519, 5045, 1439, 621, 2165, 7149, 593, 13198, 345, 517, 269, 634, 2520, 17190, 540, 513, 1297, 540, 22747, 2059, 519, 9095, 723, 1044, 6027, 269, 1703, 616, 2947, 3982, 2520, 12950, 11890, 1369, 519, 9095, 630, 21790, 19660, 267, 645, 1092, 534, 267, 8832, 13198, 345, 517, 267, 9040, 8500, 534, 267, 543, 15990, 1040, 634, 2520, 17190, 540, 519, 12415, 20240, 602, 519, 22747, 616, 782, 1016, 9134, 1644, 630, 324, 3052, 1421, 2178, 562, 328, 984, 1756, 22114, 543, 18287, 268, 1779, 13824, 4162, 1040, 1772, 582, 8554, 543, 10250, 2609, 1397, 2189, 2520, 12950, 4162, 538, 519, 5087, 269, 2983, 12950, 7648, 5087, 1189, 630, 289, 629, 8500, 534, 10126, 264, 941, 1813, 547, 519, 1016, 9134, 540, 21439, 6508, 689, 519, 11761, 540, 18626, 12933, 689, 3624, 543, 15990, 563, 2467, 568, 513, 3982, 2333, 538, 1193, 2632, 1756, 13666, 8084, 12753, 609, 20173, 5087, 1189, 269, 901, 7028, 519, 28756, 675, 602, 519, 7648, 941, 1813, 547, 606, 2810, 834, 322, 6412, 531, 257, 5057, 538, 1016, 2265, 539, 21439, 607, 519, 18626, 7161, 538, 519, 5087, 941, 14059, 630, 19770, 543, 15990, 1040, 634, 11159, 11098, 525, 2799, 4724, 519, 5087, 2059, 519, 29503, 563, 763, 2520, 17190, 543, 29684, 4259, 540, 519, 7013, 13198, 345, 517, 9095, 814, 1044, 6594, 538, 1469, 269, 634, 2520, 17190, 6700, 602, 18626, 12933, 630, 22238, 2406, 689, 21439, 264, 5129, 606, 1271, 1909, 538, 519, 5839, 565, 617, 23725, 528, 543, 519, 9650, 19660, 12415, 269, 595, 6412, 531, 16580, 1185, 7018, 538, 519, 5045, 1063, 519, 3345, 6022, 1177, 534, 5336, 785, 19660, 12933, 531, 3625, 543, 5310, 11159, 12526, 729, 6508, 689, 713, 3148, 269, 901, 6086, 28179, 16861, 2038, 24236, 543, 10250, 3693, 2090, 593, 519, 3844, 13198, 345, 517, 9095, 454, 10702, 960, 729, 2944, 593, 519, 7187, 13198, 345, 517, 9095, 676, 22413, 1069, 2714, 1696, 620, 269, 945, 1336, 9836, 7648, 538, 606, 25819, 540, 24745, 609, 20173, 711, 1152, 538, 519, 20662, 553, 9916, 936, 519, 476, 4335, 5998, 3296, 540, 519, 9095, 855, 849, 538, 21439, 2059, 519, 29503, 269, 634, 1152, 1259, 547, 2491, 519, 4234, 15994, 7648, 729, 998, 519, 1840, 540, 606, 2810, 3403, 540, 17512, 4246, 21439, 4724, 519, 18626, 4525, 538, 519, 5087, 3624, 543, 15990, 0, 294, 7517, 568, 519, 7887, 21677, 547, 8236, 4023, 7239, 267, 4515, 269, 11518, 9445, 590, 778, 338, 267, 7548, 543, 8689, 540, 519, 10418, 585, 12655, 4886, 693, 12052, 2160, 1767, 563, 306, 778, 338, 1767, 602, 519, 476, 10711, 271, 12655, 4886, 17644, 630, 16256, 19199, 264, 616, 968, 10472, 5108, 779, 1152, 4126, 585, 2870, 12560, 267, 2922, 267, 4023, 543, 4264, 7239, 3034, 14071, 723, 547, 1118, 873, 960, 2223, 646, 1767, 267, 855, 519, 7887, 21677, 568, 26846, 563, 11754, 7675, 519, 6167, 4400, 7400, 11572, 17072, 593, 12655, 4886, 267, 799, 786, 1491, 6006, 540, 3356, 593, 519, 12676, 19199, 543, 1439, 593, 5147, 476, 1240, 267, 590, 778, 338, 1767, 602, 968, 11004, 568, 2614, 538, 519, 1158, 585, 3025, 547, 2661, 1863, 540, 6710, 543, 621, 4465, 1406, 2154, 513, 2462, 4674, 593, 519, 851, 540, 2462, 2477, 547, 948, 4057, 3283, 3034, 3719, 642, 6479, 4690, 267, 1519, 3282, 3549, 543, 519, 1426, 6080, 267, 723, 1044, 5706, 532, 563, 303, 6974, 532, 21597, 7515, 3812, 676, 1010, 2319, 543, 519, 12655, 4886, 10298, 8416, 267, 646, 1767, 13785, 267, 693, 519, 1283, 540, 519, 1592, 267, 568, 14191, 547, 8236, 519, 3853, 267, 543, 602, 2342, 568, 968, 2421, 2484, 892, 519, 3148, 14191, 547, 3257, 865, 563, 11101, 267, 519, 1592, 540, 519, 1283, 476, 1015, 2477, 14191, 547, 8236, 519, 3853, 19141, 513, 14911, 20823, 540, 519, 1158, 779, 1838, 5006, 2477, 563, 17606, 568, 12777, 519, 5168, 602, 4264, 1646, 568, 519, 2619, 547, 8788, 2223, 646, 1767, 563, 1103, 4334, 267, 519, 772, 269, 590, 269, 568, 476, 3374, 628, 593, 519, 1592, 540, 2477, 14191, 547, 8236, 519, 3853, 543, 1152, 476, 1240, 538, 519, 8788, 31213, 563, 2108, 9617, 3843, 547, 581, 3638, 1281, 711, 1118, 596, 6126, 2223, 646, 1767, 269, 12655, 1646, 602, 568, 7059, 267, 4023, 267, 8537, 543, 13476, 4264, 568, 1018, 7472, 8788, 267, 646, 3773, 563, 763, 1838, 5006, 2477, 616, 519, 3283, 602, 3454, 2933, 519, 1034, 267, 646, 3773, 267, 15663, 602, 9527, 525, 1589, 621, 568, 513, 1434, 3364, 547, 2628, 3368, 741, 3084, 4747, 547, 2298, 2069, 543, 3782, 563, 763, 2136, 2276, 267, 593, 519, 824, 1688, 267, 568, 782, 827, 3454, 11912, 585, 3638, 1004, 269, 968, 2414, 3035, 4264, 1646, 267, 596, 723, 547, 2628, 585, 621, 2223, 646, 1767, 267, 4946, 602, 3454, 11912, 585, 519, 3638, 1810, 1406, 2628, 585, 4264, 1646, 563, 7343, 324, 2718, 547, 3025, 547, 20834, 1125, 2200, 547, 3035, 4264, 1646, 267, 646, 1767, 972, 1590, 581, 519, 2101, 7004, 538, 875, 2477, 960, 563, 7197, 1271, 568, 2298, 2069, 267, 4553, 676, 8471, 1569, 547, 1072, 1416, 267, 2973, 1648, 12462, 23719, 799, 519, 4541, 786, 581, 20739, 22486, 25257, 4264, 2244, 543, 1426, 267, 21273, 4872, 609, 22510, 5989, 267, 543, 1697, 946, 540, 3059, 4066, 563, 14071, 723, 547, 1491, 1416, 540, 6000, 269, 19227, 267, 649, 786, 6861, 6000, 2223, 646, 1767, 563, 10387, 3508, 2358, 602, 3638, 2477, 1223, 3362, 8804, 2518, 4264, 1646, 689, 741, 1378, 2200, 267, 646, 1767, 519, 1158, 779, 476, 273, 267, 21172, 5479, 320, 2231, 2443, 968, 9767, 666, 1413, 873, 909, 593, 1280, 15816, 12139, 2228, 892, 2443, 1223, 267, 676, 9878, 476, 272, 2600, 540, 741, 2121, 4502, 1142, 1032, 267, 2322, 1169, 1126, 538, 519, 1158, 538, 1153, 610, 10018, 1569, 547, 1072, 1416, 585, 3025, 563, 763, 3638, 1158, 814, 1082, 2959, 540, 8907, 543, 519, 6167, 1058, 979, 1310, 602, 8907, 267, 646, 1767, 267, 3981, 532, 513, 682, 11803, 593, 1164, 2121, 4502, 2043, 543, 3454, 532, 519, 476, 736, 18265, 772, 2529, 269, 9489, 4371, 538, 21369, 6589, 538, 513, 968, 339, 1314, 10093, 2895, 28396, 892, 2966, 676, 519, 772, 269, 590, 1421, 519, 5177, 543, 1866, 563, 307, 31320, 1058, 849, 581, 26550, 1221, 593, 519, 1158, 779, 2947, 7887, 2029, 3549, 267, 4502, 513, 5916, 476, 274, 269, 276, 18265, 9489, 543, 11981, 513, 2067, 26771, 267, 607, 1134, 607, 593, 2518, 2883, 8852, 563, 3891, 4682, 593, 547, 1289, 585, 519, 9962, 6388, 540, 3327, 9204, 543, 513, 11523, 6658, 593, 19856, 656, 3454, 859, 28913, 563, 763, 2832, 568, 547, 2327, 602, 1169, 1126, 814, 513, 2104, 563, 8448, 3772, 267, 646, 1767, 267, 968, 933, 1810, 1406, 723, 513, 2104, 3034, 763, 6167, 4400, 7400, 11572, 17072, 593, 12655, 4886, 568, 519, 1292, 6167, 3760, 593, 4264, 1646, 543, 621, 814, 513, 3844, 1909, 538, 519, 1246, 5346, 543, 2689, 540, 519, 476, 10711, 271, 3397, 12629, 585, 12655, 4886, 17644, 693, 519, 2518, 1377, 269, 0, 4467, 14658, 18963, 2986, 769, 615, 13330, 454, 3528, 17166, 1372, 324, 20958, 454, 1103, 769, 14814, 18067, 766, 267, 17252, 18952, 2207, 5444, 4625, 667, 6865, 2562, 2969, 2464, 835, 1776, 269, 1924, 2161, 596, 723, 513, 4414, 8768, 543, 513, 6519, 8768, 269, 1879, 891, 2097, 1927, 547, 1118, 1776, 8768, 267, 519, 2699, 543, 3043, 8768, 1118, 513, 623, 2562, 298, 8768, 269, 1358, 10416, 9192, 547, 1118, 519, 26737, 269, 5510, 338, 1440, 902, 602, 616, 670, 2678, 27340, 748, 1631, 723, 513, 26737, 538, 1063, 519, 4630, 27340, 748, 27586, 269, 0, 28237, 6609, 2985, 454, 23220, 7627, 9906, 19732, 1465, 2433, 15474, 10017, 3955, 6761, 538, 12140, 630, 26261, 3724, 264, 630, 4537, 27553, 631, 563, 10666, 713, 6221, 454, 294, 1037, 539, 538, 5969, 12967, 1382, 267, 713, 1433, 2982, 875, 7459, 13389, 14696, 267, 11587, 267, 1915, 9342, 267, 23904, 3206, 267, 4126, 267, 543, 2635, 3347, 666, 3565, 547, 4824, 4081, 543, 1514, 4093, 538, 9344, 476, 274, 268, 1321, 269, 898, 2488, 513, 476, 1015, 1606, 11970, 8261, 585, 5009, 16148, 1134, 5630, 734, 14814, 609, 12667, 2013, 1806, 734, 7474, 666, 581, 8045, 609, 2043, 267, 1507, 2516, 267, 610, 2898, 5049, 269, 11790, 602, 3589, 6107, 8788, 616, 5941, 267, 2963, 2861, 4879, 2645, 4843, 267, 543, 2081, 547, 4125, 3610, 543, 3237, 4330, 269, 769, 513, 1804, 20695, 3898, 609, 2482, 22286, 520, 11006, 585, 2653, 2584, 665, 641, 3539, 267, 519, 4320, 2882, 476, 2412, 10063, 24862, 1688, 8083, 543, 3029, 269, 623, 3420, 553, 619, 1205, 1569, 547, 513, 13959, 3896, 1141, 789, 666, 4647, 543, 1820, 891, 2326, 267, 7132, 2228, 26209, 535, 23474, 2638, 29812, 543, 2385, 543, 4116, 4967, 563, 10831, 540, 9664, 281, 476, 24129, 454, 7049, 516, 281, 10017, 267, 4065, 267, 4317, 3163, 454, 8138, 268, 7049, 516, 281, 4317, 4518, 267, 29960, 1315, 4937, 267, 31499, 1315, 4132, 1341, 32183, 454, 306, 7685, 7170, 281, 2871, 559, 5112, 19750, 27800, 538, 519, 12140, 454, 21812, 281, 2871, 559, 5112, 6583, 333, 454, 12041, 281, 1744, 27553, 631, 269, 590, 592, 4777, 454, 1805, 22901, 11261, 281, 5147, 476, 2420, 267, 476, 1001, 277, 454, 2005, 655, 7089, 630, 7894, 5746, 2567, 476, 27886, 268, 2641, 268, 274, 4200, 278, 0, 291, 28233, 5718, 4245, 585, 1870, 3401, 454, 4962, 5181, 476, 1001, 279, 454, 268, 667, 28233, 2982, 13461, 593, 835, 1883, 4222, 666, 1291, 547, 513, 31774, 454, 268, 5125, 781, 835, 1390, 8396, 2702, 729, 3144, 2476, 543, 3366, 547, 14710, 454, 268, 27469, 3576, 513, 11455, 1935, 547, 2112, 1818, 873, 811, 7347, 454, 268, 634, 2257, 540, 2698, 2112, 17204, 519, 13303, 781, 2528, 540, 8396, 454, 19968, 3401, 666, 1451, 513, 2603, 827, 5718, 689, 519, 2833, 11402, 538, 519, 5822, 2622, 2782, 2687, 547, 1382, 676, 3223, 603, 6182, 842, 563, 23178, 6182, 842, 8268, 519, 1034, 1950, 476, 2190, 16923, 5106, 2479, 13986, 538, 513, 1957, 547, 1665, 519, 476, 3583, 628 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 713, 1373, 8800, 267, 10189, 610, 875, 513, 6161, 13333, 269, 12676, 9448, 568, 1031, 547, 6813, 519, 5650, 585, 14335, 606, 1344, 1062, 538, 513, 11295, 543, 9266, 6073, 269, 901, 568, 7363, 1031, 676, 1062, 2079, 945, 786, 1382, 883, 1699, 6009, 543, 7569, 799, 1058, 2479, 581, 540, 513, 1164, 2298, 5870, 610, 10489, 2056, 7817, 2048, 338, 19773, 338, 6902, 6192, 1369, 17157, 1899, 267, 6578, 8815, 543, 1058, 960, 3759, 659, 13124, 543, 11880, 527, 13124, 538, 519, 1699, 610, 9709, 2655, 4450, 269, 1403, 621, 1281, 1875, 2196, 883, 782, 891, 7569, 865, 621, 568, 1034, 2693, 513, 3653, 540, 2200, 267, 17157, 543, 2724, 1671, 5224, 538, 606, 2907, 2813, 1344, 1062, 563, 3682, 339, 19685, 568, 513, 1907, 799, 568, 1031, 1282, 519, 1646, 540, 1949, 543, 621, 2636, 9367, 547, 1118, 4693, 7811, 6589, 540, 519, 1062, 971, 607, 519, 8818, 799, 1281, 562, 1406, 960, 269, 901, 2636, 519, 9367, 547, 10536, 513, 1745, 540, 875, 519, 3498, 5654, 543, 1294, 952, 519, 1062, 568, 10707, 547, 9585, 922, 4397, 1374, 8247, 630, 1007, 1949, 723, 6397, 6009, 543, 713, 2337, 547, 1491, 891, 6009, 3738, 4586, 288, 6165, 3236, 7811, 2272, 666, 581, 1031, 676, 9367, 547, 948, 873, 538, 1818, 519, 524, 913, 1540, 1062, 269, 901, 13995, 2636, 519, 17354, 547, 1294, 875, 1114, 3755, 786, 2170, 609, 513, 1062, 676, 519, 8041, 540, 12222, 269, 901, 3947, 873, 606, 2219, 540, 875, 519, 1062, 568, 1031, 682, 1154, 873, 547, 2097, 593, 5196, 1818, 519, 1062, 9001, 3177, 13995, 630, 9367, 1058, 581, 2111, 547, 1118, 513, 1062, 9001, 782, 693, 602, 1747, 3177, 13995, 609, 5934, 4430, 3403, 3738, 4586, 20663, 267, 4702, 267, 8800, 543, 10189, 616, 2479, 19249, 609, 10841, 757, 547, 1699, 11653, 902, 267, 1646, 540, 1007, 11653, 902, 543, 14486, 540, 2025, 4702, 269, 589, 2754, 2115, 547, 2611, 538, 4395, 540, 922, 30347, 952, 789, 616, 581, 1310, 532, 593, 9513, 741, 2533, 610, 23335, 2478, 865, 789, 991, 547, 3180, 740, 30794, 4702, 547, 1118, 713, 11880, 527, 13124, 543, 6385, 607, 2009, 267, 15029, 1875, 536, 532, 538, 519, 1279, 512, 958, 563, 1607, 568, 1946, 3549, 946, 971, 2645, 607, 513, 1062, 1646, 1272, 11733, 267, 1486, 19685, 543, 8415, 3236, 7811, 2272, 538, 1931, 547, 1382, 883, 891, 1007, 11653, 902, 547, 1265, 952, 789, 616, 20019, 2009, 267, 964, 6326, 10380, 543, 1034, 3648, 10707, 547, 2333, 1857, 6881, 543, 4398, 563, 273, 3590, 4886, 5020, 18888, 454, 763, 1949, 1646, 1272, 11733, 630, 12676, 9448, 3738, 16310, 1634, 607, 10189, 1646, 1272, 11733, 568, 513, 4480, 1031, 1369, 1949, 2029, 543, 10189, 2029, 269, 898, 568, 513, 1826, 540, 27696, 2079, 1031, 547, 6813, 519, 5650, 585, 14335, 606, 1344, 1062, 538, 513, 20982, 267, 11295, 543, 1505, 673, 6073, 556, 3438, 908, 1142, 5123, 540, 519, 1272, 11733, 269, 634, 1949, 1646, 1272, 11733, 267, 11745, 1944, 547, 630, 9504, 476, 1220, 280, 3738, 968, 12090, 538, 519, 13683, 328, 612, 547, 1020, 2462, 4336, 6198, 6161, 1949, 538, 606, 2085, 540, 2462, 21783, 3349, 6161, 30077, 532, 10007, 269, 6176, 1949, 2238, 2847, 9407, 1472, 5230, 1217, 725, 4393, 543, 4137, 1835, 684, 4221, 1110, 639, 1766, 663, 529, 9232, 4586, 288, 12676, 9448, 568, 513, 5650, 1031, 676, 1022, 1949, 25566, 547, 1020, 606, 1344, 1062, 602, 10742, 782, 1305, 7569, 543, 6169, 585, 741, 7817, 269, 2353, 891, 1949, 1058, 581, 540, 513, 1164, 2298, 5870, 610, 10489, 2056, 7817, 2048, 338, 19773, 338, 267, 6192, 1369, 519, 17157, 1899, 8815, 543, 6578, 269, 898, 1058, 960, 3759, 659, 13124, 543, 11880, 527, 13124, 538, 519, 1699, 610, 9709, 2655, 4450, 543, 16310, 581, 10464, 547, 1832, 610, 4463, 523, 563, 21902, 338, 1646, 1272, 11733, 568, 1500, 909, 540, 2789, 5933, 630, 6423, 7010, 4886, 5020, 18888, 5020, 4211, 19564, 1912, 1162, 3239, 593, 2985, 476, 1015, 3738, 2073, 2185, 602, 616, 2731, 540, 1104, 281, 4058, 267, 2079, 267, 1374, 543, 6388, 8276, 664, 5199, 269, 589, 1949, 2079, 666, 14892, 891, 5933, 9001, 2907, 2813, 7811, 6589, 630, 1949, 1646, 1272, 11733, 7811, 6589, 3738, 1547, 1703, 616, 1896, 540, 891, 7811, 6589, 2139, 971, 607, 281, 4028, 3498, 1646, 630, 681, 4696, 3738, 2073, 1216, 6420, 267, 4652, 770, 2989, 4098, 543, 4745, 3498, 1374, 630, 808, 4696, 3738, 782, 8066, 1064, 14476, 543, 2258, 2510, 630, 6423, 23848, 543, 31808, 1145, 525, 540, 12676, 9448, 9184, 983, 5044, 593, 2985, 476, 1015, 3738, 2073, 538, 1114, 1533, 540, 26035, 1087, 855, 972, 568, 1100, 1318, 610, 11234, 547, 1826, 540, 1505, 1031, 630, 6423, 18948, 540, 6396, 3098, 9184, 983, 5044, 593, 2985, 476, 1015, 3738, 1169, 3787, 1279, 607, 519, 25759, 25584, 568, 540, 513, 1164, 2298, 5870, 610, 10489, 2056, 519, 7218, 19773, 543, 1369, 741, 17157, 1899, 543, 8815, 6578, 563, 5522, 8911, 568, 513, 2731, 540, 1104, 5123, 585, 513, 1949, 2079, 267, 713, 568, 519, 5123, 1141, 519, 1949, 2079, 814, 547, 1265, 519, 7475, 540, 519, 23072, 543, 1118, 513, 1164, 4110, 2990, 540, 519, 23072, 538, 606, 4674, 547, 17589, 1489, 689, 2362, 4287, 269, 589, 11801, 756, 30276, 5619, 666, 3006, 581, 1031, 547, 4217, 1397, 519, 23072, 547, 2362, 4287, 563, 26046, 568, 519, 1739, 540, 1104, 2268, 799, 568, 5340, 547, 4755, 856, 1018, 568, 519, 2816, 267, 2009, 3435, 543, 952, 621, 2048, 338, 1732, 585, 519, 2754, 547, 14892, 606, 607, 1417, 610, 2322, 538, 513, 28025, 1007, 1062, 269, 901, 568, 6913, 676, 519, 1949, 2079, 14906, 532, 6306, 519, 1699, 1062, 2394, 789, 1451, 875, 3388, 1568, 563, 6524, 11056, 540, 513, 1062, 666, 581, 6913, 519, 1949, 2079, 2115, 547, 1544, 519, 1007, 1062, 610, 10841, 757, 269, 901, 568, 1141, 519, 1949, 2079, 6257, 519, 1062, 538, 6221, 267, 1519, 5496, 29282, 267, 6161, 6042, 267, 5650, 12222, 267, 791, 8803, 13798, 2305, 267, 513, 2347, 11769, 2078, 6516, 543, 824, 13995, 269, 634, 8783, 8247, 540, 713, 2268, 568, 865, 602, 519, 1007, 1062, 610, 10841, 757, 616, 4330, 538, 1169, 3787, 1454, 6221, 607, 2009, 865, 9952, 4648, 666, 1020, 519, 1007, 1062, 610, 607, 1417, 609, 5934, 3063, 3403, 563, 6124, 1949, 610, 10841, 757, 616, 2813, 676, 9367, 855, 972, 568, 1100, 22979, 602, 519, 12363, 1062, 786, 9585, 922, 4397, 1374, 8247, 543, 1007, 1949, 4749, 723, 6397, 6009, 6902, 630, 968, 763, 6671, 8247, 540, 513, 17565, 568, 547, 1577, 3755, 540, 519, 10189, 547, 2268, 9367, 2048, 18747, 585, 519, 1374, 540, 519, 22638, 25584, 676, 2731, 5275, 873, 856, 267, 3079, 982, 8066, 547, 1526, 4902, 543, 2268, 519, 1374, 1759, 593, 11673, 892, 630, 9504, 476, 1220, 280, 3738, 3738, 1547, 589, 17565, 568, 513, 1907, 270, 23855, 1664, 2139, 547, 9367, 7363, 1031, 1282, 519, 1374, 11775, 267, 682, 1154, 873, 547, 1544, 3681, 267, 1118, 2242, 267, 4693, 6436, 543, 6166, 1857, 6881, 1354, 1205, 9419, 940, 2504, 540, 519, 1007, 1062, 630, 968, 288, 17565, 3335, 1138, 12885, 8806, 513, 1906, 18125, 540, 519, 4162, 540, 519, 22638, 1544, 267, 543, 949, 581, 28025, 1114, 689, 519, 22638, 6388, 1848, 630, 9504, 476, 1220, 280, 3738, 3738, 4586, 274, 269, 272, 5019, 19685, 9537, 454, 8072, 3682, 339, 19685, 2048, 8813, 883, 2789, 1362, 338, 4470, 593, 519, 1826, 540, 17565, 543, 1018, 519, 17565, 568, 1031, 585, 267, 971, 607, 1818, 519, 8818, 585, 513, 1544, 855, 1875, 519, 13798, 2305, 267, 610, 1818, 3368, 519, 1544, 547, 6961, 602, 1808, 2197, 269, 1703, 568, 1100, 2489, 1620, 593, 1018, 2306, 513, 17565, 630, 9504, 476, 1220, 280, 3738, 2073, 865, 1034, 30384, 15489, 883, 1022, 540, 891, 2185, 1362, 338, 281, 6169, 6361, 17376, 4532, 2118, 1486, 19685, 267, 1129, 8595, 5619, 17565, 267, 522, 4788, 17565, 543, 6198, 17565, 563, 274, 269, 272, 269, 272, 19577, 6361, 6261, 337, 4532, 2118, 5019, 9189, 454, 1607, 1826, 540, 17565, 568, 1031, 547, 6961, 930, 2694, 540, 519, 1374, 1510, 8066, 547, 1118, 519, 2407, 1062, 267, 23072, 610, 8818, 563, 274, 269, 272, 269, 273, 4813, 5530, 5019, 9189, 454, 1607, 1826, 540, 17565, 2636, 519, 9367, 547, 1382, 519, 2596, 2450, 267, 4082, 543, 1745, 540, 519, 25584, 1510, 8066, 547, 708, 10028, 519, 2291, 550, 4786, 610, 3169, 522, 4788, 3308, 2460, 540, 519, 25584, 563, 274, 269, 272, 269, 274, 744, 4788, 5019, 9189, 454, 302, 4788, 26336, 616, 1031, 676, 519, 17354, 547, 708, 10028, 519, 3308, 2460, 543, 4778, 540, 519, 5497, 25584, 267, 855, 786, 1875, 6451, 1022, 540, 519, 4282, 7851, 971, 607, 2596, 5106, 563, 274, 269, 272, 269, 275, 23398, 5019, 9189, 454, 293, 23341, 17565, 568, 519, 17354, 5275, 547, 708, 10028, 519, 25759, 1374, 543, 10342, 540, 519, 25584, 6902, 713, 568, 519, 17354, 2048, 338, 25759, 1750, 4302, 585, 1374, 12889, 267, 6009, 543, 2636, 2063, 31208, 2572, 2711, 1732, 906, 563, 275, 2422, 8865, 17738, 454, 288, 6165, 3236, 7811, 2272, 568, 1031, 676, 9367, 950, 1818, 513, 23072, 6902, 968, 1492, 8415, 3236, 6516, 568, 519, 1101, 602, 9703, 7718, 2209, 786, 960, 609, 950, 1205, 9419, 940, 513, 1788, 892, 630, 744, 4788, 8865, 15484, 1107, 772, 7876, 20861, 476, 1220, 280, 3738, 1547, 589, 6165, 3236, 7811, 2272, 2982, 519, 17354, 875, 513, 3593, 786, 2170, 609, 513, 1062, 676, 519, 8041, 540, 12222, 630, 1294, 2422, 8865, 7844, 12810, 593, 2985, 476, 1556, 3738, 610, 2241, 5528, 6902, 630, 968, 288, 2422, 8865, 4564, 513, 3982, 1770, 540, 5872, 1063, 513, 3593, 630, 1480, 610, 3684, 3738, 543, 519, 1062, 1848, 630, 634, 2422, 8865, 7844, 476, 1220, 280, 3738, 3738, 4586, 1103, 2596, 3723, 902, 513, 6165, 3236, 7811, 2272, 568, 513, 1305, 540, 7653, 799, 786, 4755, 1063, 3755, 519, 1062, 543, 1018, 786, 979, 593, 538, 1142, 9183, 971, 607, 281, 513, 3593, 2097, 538, 532, 741, 21189, 3330, 1217, 725, 543, 865, 2879, 12686, 593, 519, 21189, 7735, 269, 634, 6165, 3236, 7811, 2272, 786, 1533, 519, 9367, 10502, 875, 519, 3593, 786, 2170, 609, 519, 1062, 543, 593, 1142, 9183, 1018, 519, 3649, 3438, 786, 1118, 269, 4635, 713, 17133, 519, 9367, 723, 519, 2702, 547, 1118, 519, 1007, 1062, 609, 519, 2048, 2224, 3236, 7811, 2272, 2048, 543, 824, 13995, 1510, 26089, 20991, 3403, 610, 13995, 563, 1103, 713, 1353, 519, 13794, 814, 1044, 4988, 281, 1062, 1646, 1272, 11733, 267, 1486, 19685, 543, 8415, 3236, 7811, 2272, 269, 1306, 596, 2693, 917, 689, 2542, 713, 1353, 782, 1614, 540, 891, 616, 547, 3343, 543, 798, 621, 4443, 547, 1382, 883, 1007, 610, 18175, 15665, 1949, 267, 676, 23478, 9367, 609, 7850, 13995, 682, 1154, 873, 547, 1020, 606, 1344, 1062, 267, 1164, 4287, 666, 3180, 811, 540, 606, 3403, 543, 31536, 542, 540, 519, 1007, 1062, 1317, 540, 519, 2048, 2224, 3236, 7811, 2272, 2048, 543, 2048, 2889, 339, 8040, 2048, 1547, 2353, 540, 891, 1058, 1118, 513, 811, 3608, 1344, 1062, 21528, 2333, 14407, 19614, 543, 4398, 540, 519, 2754, 563, 310, 7364, 476, 1220, 280, 267, 7010, 4886, 5020, 18888, 267, 2228, 267, 27366, 476, 1428, 5437, 476, 1220, 280, 267, 689, 5409, 3667, 4483, 7014, 281, 12262, 523, 25769, 3820, 28293, 13478, 2448, 318, 31141, 318, 5158, 318, 12860, 563, 310, 7364, 476, 1220, 280, 267, 5019, 9189, 267, 2228, 267, 27366, 476, 1428, 5437, 476, 1220, 280, 267, 689, 5409, 3667, 4483, 7014, 281, 12262, 523, 25769, 3820, 28293, 270, 3682, 339, 9189, 563, 310, 7364, 476, 1220, 280, 267, 12229, 5019, 19685, 267, 2228, 267, 27366, 476, 1428, 5437, 476, 1220, 280, 267, 689, 5409, 3667, 4483, 7014, 281, 12262, 523, 25769, 3820, 28293, 270, 25413, 2264, 318, 2889, 339, 19685, 563, 302, 4788, 8865, 15484, 1107, 772, 7876, 20861, 476, 1220, 280, 267, 2228, 267, 27366, 476, 1704, 5437, 476, 1220, 280, 267, 689, 5409, 3667, 4483, 7014, 281, 12262, 4178, 4877, 1092, 3820, 270, 6312, 553, 924, 11721, 850, 611, 2381, 7933, 665, 338, 270, 1170, 340, 652, 516, 2738, 270, 296, 318, 307, 318, 11321, 5881, 318, 763, 318, 15239, 6953, 889, 318, 1805, 800, 15005, 563, 763, 2422, 8865, 7844, 476, 1220, 280, 267, 2228, 267, 27366, 476, 2764 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 454, 2018, 2132, 524, 660, 454, 825, 29185, 825, 1219, 31062, 306, 13645, 4311, 267, 5119, 281, 5903, 314, 8266, 314, 1598, 316, 8079, 9847, 703, 912, 1038, 15358, 815, 1496, 842, 3488, 8339, 21860, 9217, 1070, 3490, 284, 273, 264, 585, 1775, 538, 5119, 6540, 1038, 1219, 1205, 310, 5954, 16325, 281, 703, 264, 9847, 703, 912, 2018, 5727, 418, 365, 480, 13213, 508, 14756, 511, 476, 272, 476, 7511, 14748, 12255, 12163, 2018, 524, 660, 815, 476, 271, 454, 2018, 1247, 1003, 912, 3546, 1003, 17851, 1003, 24177, 476, 272, 454, 3546, 524, 660, 6834, 476, 272, 454, 2018, 2132, 524, 660, 692, 1038, 3193, 328, 815, 476, 271, 454, 1038, 585, 1775, 267, 642, 538, 26246, 25225, 2187, 2018, 585, 795, 538, 2039, 9217, 267, 7003, 25225, 15892, 3546, 642, 17851, 15358, 14728, 6540, 3546, 530, 815, 1205, 310, 5954, 17635, 994, 3546, 3193, 328, 815, 3193, 32384, 328, 267, 1295, 26028, 267, 795, 910, 1775, 1341, 476, 272, 4917, 1038, 2132, 3193, 328, 2608, 3193, 328, 7531, 338, 815, 8827, 4590, 338, 27982, 2711, 306, 13645, 18692, 825, 1496, 14277, 272, 2580, 834, 271, 2580, 834, 272, 2580, 834, 271, 2580, 834, 271, 257, 3910, 22373, 272, 2580, 834, 271, 2580, 834, 272, 2580, 834, 272, 2580, 834, 272, 257, 3910, 22373, 272, 2580, 834, 272, 2580, 834, 272, 2580, 834, 272, 2580, 834, 272, 257, 3910, 22373, 272, 2580, 834, 271, 2580, 834, 271, 2580, 834, 272, 2580, 834, 271, 19312, 7481, 0, 5228, 17511, 1104, 5903, 454, 5228, 1449, 1104, 4351, 9078, 1235, 454, 5814, 1770, 11687, 7531, 3698, 24450, 31374, 25225, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 825, 8173, 1038, 476, 31006, 12916, 367, 418, 481, 483, 19540, 369, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 281, 744, 3799, 994, 1038, 476, 31006, 26266, 362, 418, 481, 483, 19540, 369, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 3799, 265, 333, 2020, 1038, 17276, 493, 496, 24662, 26406, 496, 31365, 13200, 365, 715, 268, 272, 29635, 370, 509, 26406, 496, 31365, 14756, 482, 29873, 267, 28098, 30678, 623, 284, 272, 29635, 370, 509, 28996, 454, 1038, 623, 284, 301, 268, 272, 29635, 370, 509, 267, 418, 493, 496, 24662, 26406, 496, 31365, 32517, 507, 13644, 479, 10524, 492, 12916, 491, 419, 377, 362, 476, 271, 910, 623, 476, 7511, 30317, 27381, 510, 20992, 454, 1038, 13127, 371, 366, 26406, 496, 31365, 419, 488, 370, 26233, 479, 454, 1038, 476, 12571, 495, 31176, 491, 418, 493, 496, 24662, 263, 11590, 353, 29004, 351, 994, 825, 8173, 825, 562, 815, 7003, 25225, 994, 825, 585, 1775, 538, 2039, 263, 272, 267, 562, 2187, 1038, 585, 795, 538, 20328, 263, 9792, 9217, 15892, 2018, 952, 15358, 14728, 316, 3436, 15358, 14728, 1341, 476, 272, 14158, 3546, 15358, 14728, 3910, 15358, 14728, 1341, 476, 272, 316, 815, 15358, 14728, 1341, 476, 272, 3910, 15358, 14728, 2639, 2018, 3116, 912, 3546, 2736, 454, 825, 2132, 15358, 7531, 5035, 4530, 11900, 1068, 542, 31374, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 16029, 4311, 2187, 1038, 585, 1775, 538, 2039, 263, 1911, 271, 2187, 2018, 8638, 815, 4351, 9078, 1235, 4590, 2018, 524, 6853, 815, 8638, 11468, 2639, 2018, 8638, 815, 24450, 31374, 10857, 1235, 994, 2018, 524, 6853, 31699, 4590, 2018, 1582, 27863, 10857, 1235, 267, 524, 6853, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 8276, 1314, 3065, 14870, 528, 6361, 26690, 5991, 13246, 2987, 12845, 268, 6783, 13045, 258, 476, 275, 2641, 269, 476, 12255, 14756, 482, 18809, 4970, 353, 14748, 12255, 7511, 31006, 27962, 19764, 480, 16043, 500, 29219, 454, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 8173, 1038, 17276, 508, 482, 417, 375, 374, 31176, 491, 419, 376, 478, 21550, 495, 263, 4970, 353, 26175, 491, 30317, 27381, 510, 476, 271, 270, 272, 13211, 1038, 28859, 506, 478, 28884, 16533, 484, 421, 360, 502, 12916, 491, 418, 498, 378, 28996, 21550, 495, 7511, 31968, 31271, 480, 267, 476, 12571, 355, 10254, 503, 25060, 373, 421, 483, 491, 7511, 28793, 22390, 503, 421, 506, 478, 28884, 12916, 379, 17958, 21211, 31033, 4970, 366, 23989, 419, 353, 374, 19764, 480, 16043, 500, 29219, 454, 825, 29185, 825, 1219, 1265, 16655, 3065, 311, 3036, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 3529, 815, 31460, 1038, 585, 1775, 538, 15358, 912, 2018, 3597, 815, 3529, 454, 2018, 585, 795, 538, 2039, 263, 1789, 267, 910, 272, 267, 910, 272, 2187, 3546, 642, 815, 630, 328, 23645, 795, 264, 1299, 476, 272, 454, 3546, 952, 642, 711, 538, 3597, 912, 7386, 3597, 314, 341, 316, 815, 31460, 3546, 3597, 815, 3597, 314, 341, 6540, 1038, 3193, 328, 815, 476, 271, 454, 1038, 544, 815, 2715, 271, 281, 476, 272, 267, 476, 272, 281, 476, 271, 8679, 1038, 585, 1775, 538, 15358, 912, 2018, 3597, 815, 3529, 454, 2018, 1225, 815, 476, 271, 454, 2018, 585, 795, 538, 2039, 263, 1789, 267, 910, 272, 267, 910, 272, 2187, 3546, 642, 815, 630, 328, 23645, 795, 264, 1299, 476, 272, 454, 3546, 1225, 815, 1225, 2608, 476, 273, 454, 3546, 952, 544, 314, 341, 316, 538, 3597, 912, 7386, 1225, 6834, 476, 272, 454, 7386, 3597, 815, 3597, 314, 332, 314, 341, 27663, 3546, 3116, 912, 7386, 3597, 815, 3597, 314, 341, 2639, 2018, 3193, 328, 815, 3193, 32384, 328, 267, 1225, 994, 1038, 2132, 3193, 328, 454, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 2102, 4733, 1790, 1861, 12330, 13045, 258, 476, 2420, 269, 17276, 489, 361, 9463, 371, 13200, 509, 29873, 454, 258, 476, 30244, 30903, 502, 25520, 10429, 357, 26406, 496, 28578, 32352, 25263, 376, 692, 5228, 17511, 1104, 5903, 454, 5228, 10070, 1104, 632, 4302, 692, 5035, 8827, 912, 825, 8173, 1038, 17276, 367, 357, 418, 482, 493, 30244, 26175, 491, 281, 630, 3890, 31156, 1038, 476, 30244, 30903, 502, 25203, 372, 25051, 497, 30678, 417, 350, 360, 418, 489, 361, 9463, 371, 30903, 502, 267, 20069, 562, 476, 14748, 1412, 3488, 476, 4970, 492, 562, 476, 14748, 1412, 264, 7055, 1038, 476, 18777, 378, 31176, 358, 12916, 503, 1535, 476, 14748, 1412, 3488, 17276, 489, 361, 9463, 371, 267, 586, 476, 14748, 1412, 264, 262, 17276, 489, 361, 9463, 371, 454, 1038, 1535, 11971, 13127, 379, 483, 421, 350, 375, 418, 375, 350, 420, 370, 367, 1535, 13843, 586, 692, 1038, 476, 18263, 509, 16533, 365, 15159, 1318, 910, 26270, 1341, 476, 272, 454, 825, 29185, 825, 1219, 5352, 21122, 4185, 4311, 267, 562, 281, 703, 264, 9847, 5903, 314, 1598, 14158, 1038, 759, 815, 1305, 10797, 1038, 1219, 9888, 263, 3650, 281, 1193, 267, 2451, 281, 703, 267, 1318, 281, 703, 264, 9847, 7183, 912, 2018, 952, 2451, 2652, 476, 271, 912, 3546, 759, 14491, 263, 3650, 1341, 1412, 264, 262, 2608, 1318, 994, 3546, 2132, 692, 2018, 585, 1775, 538, 2039, 263, 272, 267, 2451, 1341, 476, 272, 2187, 3546, 26270, 815, 2451, 910, 1775, 454, 3546, 585, 795, 538, 2039, 263, 272, 267, 1318, 910, 26270, 1341, 476, 272, 2187, 7386, 9888, 263, 3650, 1341, 1412, 3488, 2608, 1775, 1341, 1412, 264, 262, 2608, 795, 267, 26270, 267, 1318, 910, 795, 2020, 1038, 1948, 2451, 1318, 476, 20992, 31176, 358, 12916, 503, 7511, 26266, 355, 9463, 367, 418, 489, 361, 9463, 371, 12255, 454, 1038, 9888, 3488, 3299, 562, 267, 562, 994, 1038, 2132, 1592, 263, 637, 9239, 5035, 8827, 272, 912, 825, 8173, 8587, 476, 30244, 26175, 491, 25913, 25622, 21251, 421, 506, 478, 28884, 31176, 359, 22909, 507, 10756, 825, 29185, 825, 1219, 5352, 21122, 4185, 4311, 267, 562, 281, 703, 264, 9847, 5903, 314, 1598, 14158, 1038, 759, 815, 29129, 1038, 1219, 1394, 10177, 1188, 263, 3847, 281, 703, 267, 1318, 281, 703, 2187, 2018, 952, 7003, 263, 2017, 264, 2652, 476, 273, 2608, 562, 912, 3546, 759, 6910, 3488, 8339, 21860, 263, 2017, 11723, 2018, 952, 2451, 3436, 476, 271, 912, 3546, 1225, 6910, 3488, 3488, 994, 3546, 1394, 10177, 1188, 263, 3847, 910, 476, 272, 267, 1318, 994, 3546, 1225, 21014, 10797, 2018, 952, 2451, 2999, 1318, 912, 3546, 1225, 6910, 3488, 264, 5073, 3546, 1394, 10177, 1188, 263, 3847, 267, 1318, 910, 476, 272, 994, 3546, 1225, 21014, 10797, 1038, 1225, 815, 632, 4302, 4590, 1038, 1394, 10177, 1188, 3799, 267, 562, 994, 1038, 2132, 759, 7531, 338, 815, 8827, 4590, 2745, 4433, 269, 2102, 4733, 21122, 4185, 263, 275, 4917, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 31574, 628, 28376, 3887, 2211, 2987, 8584, 3613, 3195, 13045, 258, 476, 3583, 274, 269, 476, 12255, 29004, 362, 418, 369, 479, 18809, 7511, 21588, 361, 918, 13127, 353, 356, 30317, 27381, 510, 454, 5228, 17511, 1104, 5903, 454, 5228, 24050, 336, 1104, 24050, 1518, 267, 646, 1952, 641, 267, 24050, 516, 2897, 267, 646, 1952, 2313, 7531, 5035, 918, 628, 299, 17999, 912, 825, 8173, 1038, 476, 30244, 30903, 502, 418, 493, 493, 13213, 364, 15159, 14748, 10524, 478, 18263, 486, 27064, 358, 418, 482, 493, 11631, 888, 1038, 476, 22047, 28997, 478, 22287, 499, 30903, 502, 421, 498, 503, 4970, 487, 418, 361, 350, 11631, 286, 888, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 737, 281, 703, 267, 15358, 281, 5903, 27776, 316, 2187, 1038, 1582, 21993, 815, 737, 454, 1038, 1582, 269, 515, 777, 815, 15358, 454, 1038, 24050, 1518, 4311, 269, 515, 777, 994, 1038, 682, 815, 7003, 25225, 2020, 1038, 1247, 682, 3436, 737, 912, 2018, 646, 1952, 641, 4311, 269, 515, 777, 994, 2018, 682, 20699, 476, 272, 692, 825, 1219, 1039, 4311, 267, 1130, 281, 703, 264, 9847, 703, 912, 1038, 952, 7003, 4311, 269, 515, 777, 264, 2999, 1582, 21993, 912, 2018, 646, 1952, 2313, 4311, 269, 515, 777, 267, 1130, 994, 1038, 8640, 1130, 3436, 1582, 269, 515, 777, 314, 271, 14158, 2018, 24050, 516, 2897, 4311, 269, 515, 777, 267, 1130, 994, 1038, 2132, 1582, 269, 515, 777, 314, 271, 6540, 454, 338, 815, 918, 628, 299, 17999, 263, 274, 267, 1496, 271, 7481, 338, 14491, 8987, 272, 994, 338, 14491, 263, 272, 994, 338, 14491, 8987, 273, 994, 338, 14491, 8987, 275, 994, 338, 14491, 263, 274, 994, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 20777, 1790, 531, 30308, 13045, 258, 476, 10219, 269, 28859, 359, 490, 13644, 479, 18713, 508, 24757, 4970, 366, 7531, 5035, 8827, 912, 825, 8173, 1038, 476, 32517, 507, 419, 499, 503, 12255, 21211, 4970, 492, 21211, 30006, 491, 19540, 491, 10254, 353, 13161, 511, 454, 825, 8173, 825, 1219, 568, 21595, 30308, 4311, 267, 521, 281, 1193, 264, 9847, 536, 944, 912, 1038, 521, 815, 1412, 8339, 21860, 6600, 559, 614, 19304, 18994, 531, 11133, 267, 521, 26895, 12294, 4590, 1038, 2132, 521, 2652, 521, 11468, 18737, 272, 2639, 0, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 11721, 756, 20906, 5991, 3784, 13045, 258, 476, 2004, 280, 269, 476, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 7531, 5035, 8827, 912, 825, 1219, 4017, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 952, 562, 2999, 476, 273, 912, 2018, 2132, 562, 692, 1038, 513, 267, 536, 815, 476, 271, 267, 476, 272, 454, 1038, 585, 1775, 538, 2039, 263, 273, 267, 562, 1341, 476, 272, 2187, 2018, 513, 267, 536, 815, 536, 267, 513, 1341, 536, 454, 1038, 2132, 536, 454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 22971, 538, 519, 3296, 13269, 24132, 689, 1269, 274, 267, 4335, 547, 1269, 279, 267, 1822, 267, 1247, 6266, 2059, 23885, 22971, 941, 12595, 1063, 1269, 1240, 267, 1822, 543, 1269, 4649, 267, 1822, 269, 634, 2603, 609, 2777, 1297, 476, 31979, 593, 19549, 22971, 267, 1063, 476, 2190, 628, 543, 476, 1839, 628, 6790, 1115, 267, 11954, 12457, 593, 519, 4786, 267, 729, 11262, 676, 6004, 269, 16429, 743, 1515, 543, 12595, 693, 1269, 277, 267, 1822, 269, 6034, 569, 2066, 267, 593, 23885, 22971, 267, 513, 13974, 21092, 2603, 26484, 11909, 267, 609, 513, 3677, 1753, 11262, 676, 6004, 269, 570, 858, 1415, 267, 729, 12595, 693, 1269, 736, 267, 1822, 269, 8121, 0, 1805, 800, 540, 26056, 419, 374, 355, 18263, 355, 11590, 504, 7511, 10533, 483, 11590, 489, 27818, 275, 24724, 454, 297, 9655, 7699, 11542, 4805, 267, 1010, 4064, 543, 1010, 2247, 6378, 593, 519, 2749, 540, 7603, 747, 334, 269, 7603, 747, 334, 729, 1360, 9602, 543, 1869, 1631, 267, 585, 519, 1004, 1185, 4862, 875, 519, 2696, 540, 5840, 1185, 8118, 909, 519, 16888, 5211, 585, 3571, 1004, 547, 3444, 936, 269, 1656, 950, 789, 4862, 267, 782, 540, 873, 941, 1360, 12922, 540, 5840, 269, 1924, 1631, 519, 19235, 540, 519, 2749, 540, 7603, 747, 334, 941, 9505, 269, 3143, 835, 3357, 538, 267, 543, 1100, 835, 4682, 856, 269, 26056, 6743, 693, 1346, 1164, 2178, 2749, 6821, 269, 12344, 646, 729, 11842, 875, 1010, 7952, 1131, 2479, 1205, 2250, 873, 883, 519, 2749, 563, 419, 374, 355, 18263, 355, 11590, 504, 21928, 30837, 510, 13213, 495, 26033, 370, 10254, 358, 417, 497, 354, 417, 509, 492, 7511, 17295, 364, 25913, 419, 489, 361, 420, 485, 359, 419, 360, 503, 419, 507, 478, 267, 476, 10524, 500, 7511, 419, 506, 376, 25203, 362, 25520, 417, 379, 481, 26233, 507, 421, 25693, 21796, 357, 418, 482, 493, 21928, 26033, 370, 10254, 358, 417, 497, 354, 417, 509, 492, 12486, 26033, 370, 10254, 358, 417, 497, 354, 13127, 509, 492, 27064, 364, 21928, 23523, 486, 14395, 487, 30837, 503, 267, 28859, 480, 352, 19404, 490, 7511, 32512, 26266, 366, 14756, 493, 12571, 361, 13644, 368, 419, 354, 508, 12916, 379, 419, 374, 355, 12916, 484, 418, 366, 367, 7511, 418, 364, 368, 13161, 511, 14756, 507, 267, 476, 29873, 20992, 23946, 366, 17295, 364, 267, 476, 12916, 379, 23284, 420, 487, 366, 28578, 32512, 13213, 485, 29072, 418, 366, 367, 12486, 476, 10524, 500, 10524, 361, 13601, 12571, 361, 13644, 368, 30244, 10524, 370, 11590, 489, 267, 13127, 379, 481, 19404, 490, 421, 25693, 23523, 486, 14395, 367, 26233, 499, 12486, 27064, 364, 21928, 267, 476, 26033, 370, 10254, 358, 417, 497, 354, 7511, 417, 509, 492, 25426, 357, 27381, 356, 27381, 356, 17295, 364, 10429, 367, 419, 507, 478, 267, 17276, 366, 350, 20069, 32512, 24731, 24662, 12486, 419, 374, 355, 476, 18263, 355, 11590, 504, 419, 506, 489, 419, 507, 478, 421, 480, 352, 421, 360, 502, 27962, 7511, 417, 509, 492, 417, 351, 503, 12486, 18263, 509, 18777, 372, 10524, 500, 21928, 418, 481, 367, 267, 17276, 478, 492, 21550, 371, 19867, 491, 420, 25693, 418, 498, 375, 419, 510, 368, 14395, 481, 417, 495, 351, 5405, 509, 454, 306, 19488, 26056, 7691, 646, 729, 711, 4805, 256, 1703, 547, 1010, 2427, 11542, 513, 812, 945, 849, 11696, 1194, 513, 19524, 540, 606, 7952, 267, 543, 646, 1185, 1010, 18156, 6537, 607, 952, 4712, 547, 4339, 256, 24154, 557, 569, 26056, 267, 519, 19524, 540, 519, 20679, 540, 5840, 267, 13934, 1864, 16088, 2108, 6701, 596, 585, 721, 267, 610, 585, 938, 14763, 5405, 509, 7536, 419, 359, 479, 419, 482, 370, 267, 22614, 374, 355, 18263, 355, 11590, 504, 418, 482, 493, 13644, 484, 28996, 10524, 500, 20721, 479, 20001, 373, 20069, 22047, 32512, 12486, 421, 480, 352, 32512, 19867, 489, 19404, 490, 20069, 418, 489, 498, 24731, 23521, 354, 7511, 10254, 478, 267, 13127, 354, 377, 417, 481, 493, 16583, 484, 14035, 485, 28884, 19867, 497, 10524, 501, 12486, 22614, 374, 355, 18263, 355, 11590, 504, 421, 376, 497, 420, 370, 367, 417, 489, 485, 418, 364, 498, 267, 476, 25426, 362, 10524, 500, 13644, 368, 16088, 2108, 12916, 510, 15159, 27747, 362, 20693, 358, 16043, 495, 10524, 361, 417, 495, 351, 5405, 509, 13213, 502, 15159, 27747, 362, 20693, 358, 16043, 495, 10524, 361, 10533, 490, 32512, 417, 495, 351, 5405, 509, 7536, 2108, 5591, 267, 9232, 519, 24928, 12943, 267, 968, 296, 723, 2097, 607, 2155, 6387, 540, 519, 28789, 24912, 7952, 17373, 26056, 2877, 1100, 811, 1344, 256, 8056, 2664, 2299, 519, 19524, 540, 5840, 779, 20679, 8593, 593, 1010, 3068, 547, 519, 3618, 543, 26902, 5792, 519, 2155, 6387, 540, 519, 28789, 779, 20679, 256, 968, 1432, 1281, 1250, 7083, 723, 547, 2161, 547, 1010, 22700, 5405, 509, 892, 26056, 1208, 29087, 4280, 269, 26056, 729, 1287, 5143, 547, 1491, 1055, 1010, 10887, 585, 646, 729, 7555, 593, 13411, 2666, 563, 10524, 500, 18713, 508, 419, 511, 498, 13644, 368, 16088, 2108, 21251, 476, 15159, 7511, 267, 476, 16043, 495, 23521, 354, 15159, 28884, 30853, 26033, 370, 25520, 22287, 492, 19540, 505, 421, 502, 509, 7511, 30317, 27747, 483, 12486, 892, 419, 374, 355, 18263, 355, 11590, 504, 21251, 421, 506, 478, 28884, 19540, 491, 25426, 362, 29072, 12486, 30244, 12916, 491, 23284, 420, 487, 366, 28578, 19540, 505, 421, 502, 509, 7511, 30317, 13127, 372, 483, 421, 358, 361, 31968, 32517, 363, 25263, 493, 21928, 17295, 364, 267, 476, 12571, 495, 26033, 370, 25520, 22287, 492, 19540, 505, 421, 502, 509, 7511, 30317, 27747, 483, 31284, 418, 489, 506, 267, 476, 13644, 368, 16088, 2108, 16043, 495, 4970, 375, 20069, 10524, 478, 18263, 486, 13644, 507, 12571, 358, 417, 496, 494, 10524, 484, 32512, 5405, 509, 892, 30244, 14748, 32512, 476, 18777, 358, 419, 374, 355, 18263, 355, 11590, 504, 418, 488, 488, 420, 482, 504, 31968, 7511, 421, 508, 489, 420, 482, 365, 31284, 23521, 354, 267, 13127, 505, 510, 20992, 10524, 500, 19867, 478, 419, 360, 503, 7511, 17295, 364, 25913, 15159, 17295, 352, 17295, 364, 25707, 2710, 596, 1589, 26056, 23491, 539, 5405, 509, 3719, 5808, 729, 713, 2155, 6387, 540, 519, 28789, 779, 20679, 5405, 509, 1432, 729, 3571, 2012, 5405, 509, 27258, 543, 6690, 267, 621, 729, 808, 2464, 4785, 256, 4634, 1498, 646, 6743, 899, 513, 812, 267, 1261, 729, 2965, 519, 7083, 4906, 2441, 269, 6496, 602, 9983, 596, 781, 5568, 649, 1589, 602, 4906, 3459, 607, 513, 4816, 602, 1101, 8285, 269, 1809, 1100, 267, 4906, 568, 2696, 269, 1261, 729, 972, 609, 2696, 950, 519, 1158, 729, 2813, 269, 1703, 616, 2053, 2429, 519, 6196, 11620, 540, 519, 6426, 950, 4906, 7902, 585, 1114, 4128, 563, 16533, 493, 10951, 489, 9463, 489, 10524, 361, 267, 476, 30244, 14748, 32512, 16533, 365, 15159, 16043, 495, 10524, 361, 7511, 4970, 375, 26033, 370, 31801, 352, 12486, 12916, 510, 15159, 21251, 15159, 25335, 487, 23523, 501, 417, 354, 485, 26233, 359, 5405, 509, 20069, 28793, 16043, 495, 10524, 361, 23284, 20992, 26033, 370, 31801, 352, 21588, 361, 476, 13601, 418, 361, 350, 23521, 354, 28996, 4970, 500, 31968, 15159, 4970, 353, 22287, 481, 23946, 368, 31176, 491, 7511, 421, 480, 352, 14748, 17295, 352, 13644, 508, 420, 488, 480, 12486, 10429, 370, 14395, 508, 267, 476, 26033, 370, 31801, 352, 16533, 365, 15159, 419, 354, 508, 12486, 21928, 419, 354, 508, 10254, 505, 20881, 510, 30244, 14748, 4970, 500, 419, 499, 490, 23284, 31176, 491, 2073, 476, 10524, 500, 16533, 365, 4970, 492, 419, 354, 508, 21928, 13601, 420, 369, 371, 12486, 21928, 20721, 356, 419, 374, 355, 17295, 352, 14756, 493, 18809, 267, 476, 26033, 370, 31801, 352, 18713, 510, 20992, 21251, 12571, 490, 7511, 31308, 509, 18713, 510, 418, 505, 378, 16583, 510, 418, 361, 350, 24731, 27064, 364, 25707, 1103, 519, 1715, 11620, 4906, 3357, 883, 519, 1158, 607, 513, 4816, 269, 1684, 596, 917, 1018, 2601, 1261, 1185, 585, 4947, 693, 602, 942, 5405, 509, 5978, 5609, 729, 519, 2601, 4906, 3357, 269, 2696, 3081, 782, 1346, 1611, 1919, 649, 2161, 547, 1866, 267, 1346, 1611, 1919, 649, 1256, 8946, 2562, 298, 827, 1866, 267, 543, 519, 4636, 1919, 649, 798, 547, 1866, 267, 782, 1832, 721, 2476, 689, 2696, 543, 3571, 8748, 24656, 569, 1753, 269, 3776, 5609, 568, 899, 513, 1390, 2462, 7963, 602, 649, 28297, 267, 855, 3112, 2628, 269, 1656, 2943, 267, 2696, 6645, 721, 936, 543, 936, 875, 1454, 1261, 14560, 721, 543, 6499, 721, 609, 13924, 11014, 269, 1809, 5808, 1223, 7654, 2628, 585, 938, 5609, 267, 865, 649, 2910, 8085, 291, 581, 4847, 538, 24656, 5405, 509, 2005, 1223, 1152, 581, 2696, 779, 3501, 12312, 267, 519, 7083, 4906, 563, 21928, 13161, 364, 419, 374, 355, 18809, 267, 476, 26033, 370, 31801, 352, 476, 30853, 20992, 22047, 417, 358, 368, 417, 482, 379, 13213, 505, 24662, 30244, 14748, 4970, 500, 419, 499, 490, 12486, 12916, 510, 419, 509, 354, 421, 479, 497, 10524, 500, 20992, 10524, 478, 18263, 486, 23521, 354, 12571, 501, 5405, 509, 15159, 20992, 29072, 16043, 495, 10524, 361, 7511, 419, 377, 359, 12486, 419, 354, 508, 13644, 368, 16043, 495, 10524, 361, 13644, 368, 13213, 485, 476, 10254, 360, 32512, 7511, 417, 507, 493, 13644, 507, 267, 476, 13200, 504, 420, 485, 367, 9463, 359, 15159, 420, 482, 495, 31878, 19404, 490, 418, 481, 367, 13601, 418, 481, 367, 7511, 417, 507, 493, 11590, 489, 267, 476, 16043, 495, 10524, 361, 30853, 7511, 421, 498, 503, 11590, 489, 267, 476, 12916, 379, 16043, 495, 10524, 361, 13213, 506, 419, 355, 375, 419, 354, 508, 25520, 421, 480, 352, 419, 378, 492, 4970, 377, 7511, 13127, 353, 358, 417, 510, 480, 12486, 16043, 495, 10524, 361, 7511, 419, 377, 359, 16533, 365, 420, 365, 350, 13601, 21588, 498, 16043, 495, 10524, 361, 420, 368, 509, 21251, 420, 369, 371, 7511, 22390, 374, 12486, 12916, 484, 419, 354, 508, 13601, 418, 361, 350, 9463, 486, 13601, 418, 361, 350, 17295, 364, 417, 495, 488, 13644, 487, 16043, 495, 10524, 361, 267, 476, 10524, 500, 419, 486, 365, 16043, 495, 10524, 361, 267, 476, 10524, 500, 476, 28884, 16043, 495, 10524, 361, 4970, 492, 10524, 500, 418, 364, 372, 13213, 506, 21928, 13601, 420, 369, 371, 12486, 12916, 484, 15159, 267, 29635, 364, 479, 420, 25693, 10524, 502, 418, 372, 483, 16043, 495, 10524, 361, 7511, 419, 377, 359, 22390, 374, 417, 495, 351, 5405, 509, 9463, 359, 20069, 419, 354, 508, 14395, 490, 419, 378, 492, 7511, 417, 482, 379, 31878, 16088, 26033, 370, 31801, 352, 417, 509, 374, 419, 507, 352, 25707, 2710, 596, 3314, 875, 1261, 6976, 585, 938, 5609, 5405, 509, 12441, 1261, 2285, 2724, 5405, 509, 5591, 267, 519, 6426, 3081, 538, 2051, 1601, 2103, 476, 272, 16088, 736, 267, 968, 4517, 267, 2348, 1500, 4708, 998, 519, 1973, 540, 3571, 3444, 2507, 892, 4906, 786, 5944, 5795, 3571, 1272, 1299, 3571, 10475, 1973, 607, 8569, 585, 938, 5609, 269, 8422, 2395, 1310, 4906, 5747, 267, 1261, 3357, 9800, 1586, 543, 2663, 4682, 1394, 547, 24656, 269, 1772, 4906, 1869, 9800, 538, 24656, 5405, 509, 312, 2464, 256, 634, 6426, 3081, 267, 968, 27716, 2441, 267, 519, 1482, 19108, 267, 2221, 267, 543, 11014, 28461, 10524, 500, 15159, 26233, 492, 21550, 371, 10524, 502, 16043, 495, 10524, 361, 7511, 419, 377, 359, 22390, 374, 417, 495, 351, 5405, 509, 17958, 421, 496, 365, 12571, 501, 5405, 509, 21251, 15159, 256, 27882, 490, 419, 377, 501, 420, 354, 379, 18263, 355, 21588, 361, 272, 419, 360, 510, 736, 420, 488, 480, 13644, 368, 16088, 2108, 20721, 351, 419, 482, 370, 420, 501, 487, 419, 507, 478, 10524, 500, 21928, 13127, 491, 479, 21211, 22909, 370, 31968, 19867, 478, 418, 369, 479, 7511, 16141, 478, 29873, 16533, 365, 29072, 25520, 23946, 367, 5608, 476, 26033, 370, 31801, 352, 418, 481, 483, 418, 482, 379, 10524, 502, 31968, 10524, 500, 7511, 13200, 509, 417, 495, 377, 25520, 14395, 507, 16141, 478, 23521, 354, 417, 479, 504, 20992, 16043, 495, 10524, 361, 420, 369, 492, 419, 377, 359, 7511, 28786, 476, 10524, 371, 12486, 26033, 370, 31801, 352, 27882, 375, 12571, 492, 4970, 487, 14035, 358, 267, 476, 10524, 500, 10524, 492, 27882, 375, 19404, 490, 14035, 491, 418, 368, 375, 267, 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 ]

[ 315, 3667, 346, 7941, 676, 476, 274, 281, 7684, 349, 315, 2765, 346, 274, 343, 2410, 274, 348, 815, 343, 284, 1422, 2765, 1724, 1422, 10383, 530, 1422, 10383, 586, 1422, 10383, 1990, 6911, 259, 274, 343, 284, 14567, 345, 349, 315, 574, 18680, 349, 315, 3667, 346, 7941, 676, 530, 345, 281, 7684, 349, 344, 815, 1422, 2765, 346, 274, 343, 2410, 530, 1422, 10383, 1990, 10592, 259, 274, 343, 284, 14567, 345, 349, 315, 574, 18680, 349, 315, 3667, 346, 7941, 676, 586, 345, 281, 7684, 349, 342, 815, 1422, 2765, 346, 274, 343, 2410, 586, 1422, 10383, 1990, 10592, 259, 274, 343, 284, 14567, 345, 349, 315, 574, 18680, 349, 315, 3667, 346, 7941, 676, 530, 344, 281, 7684, 349, 345, 815, 1422, 2765, 346, 274, 343, 2410, 530, 1422, 10383, 586, 4151, 0, 763, 31643, 3041, 568, 6462, 676, 519, 1082, 21464, 22881, 547, 519, 31643, 3041, 7690, 780, 5729, 15134, 9029, 281, 7490, 1118, 513, 21856, 547, 519, 31643, 3041, 7690, 547, 1489, 5571, 1646, 543, 5826, 540, 519, 31643, 3041, 269, 1284, 616, 1631, 538, 938, 476, 6795, 628, 1032, 267, 649, 723, 936, 476, 3374, 279, 267, 1822, 9696, 267, 543, 649, 4076, 18084, 476, 1015, 267, 4968, 14327, 630, 6518, 1419, 2161, 968, 29171, 2642, 7064, 547, 519, 31643, 3041, 26158, 4033, 2081, 547, 12315, 454, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 1822, 26562, 513, 3799, 264, 815, 476, 273, 265, 320, 3799, 268, 272, 264, 910, 513, 3799, 268, 273, 264, 1341, 513, 3799, 268, 274, 264, 1341, 476, 273, 22677, 333, 268, 272, 1040, 476, 273, 454, 476, 271, 267, 476, 272, 267, 476, 275, 267, 476, 1556, 267, 476, 2767, 267, 476, 8287, 267, 476, 16318, 267, 476, 24374, 267, 476, 6858, 274, 267, 476, 16960, 273, 267, 476, 22145, 276, 267, 476, 277, 3066, 276, 267, 476, 9873, 4649, 267, 476, 29483, 2918, 267, 476, 4649, 273, 10019, 267, 476, 13647, 32146, 267, 476, 15996, 6872, 273, 267, 476, 5379, 279, 6434, 274, 267, 476, 4817, 272, 31003, 267, 476, 4572, 4792, 273, 278, 267, 476, 4343, 280, 4366, 278, 279, 267, 476, 4281, 277, 25628, 273, 267, 476, 15647, 4649, 272, 4962, 267, 476, 29204, 3607, 273, 2412, 267, 476, 5038, 273, 7597, 272, 3374, 267, 476, 15782, 23056, 31620, 267, 476, 28796, 277, 3445, 26839, 267, 476, 276, 2641, 276, 2190, 14695, 267, 476, 10441, 6924, 272, 27947, 273, 267, 476, 13975, 28873, 11260, 274, 267, 476, 275, 2641, 1708, 279, 3393, 273, 267, 476, 279, 4510, 275, 4343, 3583, 277, 278, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 271, 267, 274, 25265, 19006, 3245, 4591, 3455, 22642, 523, 630, 335, 4394, 523, 263, 2969, 264, 514, 8971, 1731, 26509, 328, 3613, 18636, 326, 691, 19709, 1070, 2904, 476, 3066, 476, 1220, 277, 281, 630, 9359, 264, 4746, 1297, 540, 9352, 12673, 540, 3259, 562, 266, 273, 5627, 519, 4806, 476, 18089, 269, 19577, 281, 13068, 585, 562, 815, 476, 271, 267, 476, 272, 267, 476, 273, 269, 1280, 562, 3436, 476, 273, 1142, 5569, 609, 4806, 476, 18089, 540, 3259, 562, 268, 272, 3947, 476, 273, 12673, 540, 3259, 562, 609, 519, 3959, 676, 813, 2056, 513, 3090, 269, 769, 1840, 1142, 5569, 540, 3259, 562, 268, 272, 1510, 476, 18089, 543, 10678, 538, 476, 4905, 8309, 835, 1007, 5569, 269, 9324, 1774, 676, 524, 16062, 9852, 264, 519, 1297, 540, 12673, 540, 3259, 544, 1510, 476, 18089, 543, 10678, 538, 530, 269, 4595, 972, 568, 513, 2698, 540, 476, 273, 317, 332, 12673, 540, 3259, 544, 267, 649, 723, 524, 318, 4905, 9852, 264, 815, 524, 318, 271, 9852, 268, 272, 264, 815, 630, 273, 3867, 332, 268, 272, 348, 910, 513, 9852, 268, 274, 4297, 910, 524, 318, 272, 9852, 268, 272, 264, 815, 630, 273, 3867, 332, 268, 272, 348, 910, 513, 9852, 268, 274, 4297, 910, 630, 273, 3867, 332, 268, 273, 348, 910, 513, 9852, 268, 275, 4297, 815, 476, 273, 3867, 332, 268, 273, 348, 910, 513, 9852, 268, 274, 264, 1341, 513, 9852, 268, 275, 264, 630, 1492, 1101, 543, 3791, 3160, 885, 1246, 689, 519, 1249, 602, 813, 2056, 513, 476, 272, 786, 711, 5352, 519, 4806, 1040, 634, 24088, 568, 513, 3799, 264, 815, 476, 273, 320, 3799, 268, 272, 264, 1341, 524, 318, 4905, 3799, 266, 272, 264, 815, 476, 273, 320, 3799, 268, 272, 264, 1341, 476, 273, 3867, 333, 268, 272, 348, 910, 513, 3799, 268, 273, 264, 1341, 513, 3799, 268, 274, 1040, 630, 17484, 264, 700, 2562, 16775, 1325, 12251, 623, 269, 26081, 345, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 271, 907, 1911, 271, 9119, 29571, 16510, 267, 1234, 2017, 5270, 1894, 910, 9352, 10799, 902, 12039, 13366, 585, 5276, 9888, 18384, 609, 3586, 14170, 267, 15040, 630, 275, 16427, 276, 267, 274, 16427, 273, 1040, 11123, 300, 308, 6369, 3245, 681, 2788, 5153, 7315, 267, 4119, 476, 866, 476, 1220, 275, 281, 630, 9359, 264, 513, 3799, 264, 815, 630, 272, 270, 274, 31618, 275, 265, 273, 18898, 1341, 589, 5881, 278, 280, 6078, 3799, 268, 272, 264, 910, 476, 273, 265, 288, 5881, 278, 280, 6078, 3799, 266, 272, 26895, 717, 8807, 12727, 1535, 270, 9230, 272, 268, 273, 20080, 31618, 272, 910, 476, 273, 20080, 1341, 1535, 317, 273, 910, 1535, 317, 274, 26895, 630, 17484, 264, 513, 3799, 264, 815, 589, 1822, 5881, 280, 3799, 266, 273, 264, 910, 589, 22650, 25172, 3799, 266, 276, 1040, 910, 1325, 12251, 623, 269, 26081, 345, 267, 4455, 476, 6734, 476, 1001, 273, 30684, 4041, 535, 28701, 22876, 3799, 264, 4781, 3314, 282, 952, 562, 27045, 272, 1287, 562, 3116, 952, 562, 27045, 274, 1287, 476, 278, 265, 333, 268, 1015, 282, 3116, 476, 273, 265, 325, 3799, 268, 272, 9984, 325, 3799, 268, 273, 11924, 325, 3799, 268, 274, 11924, 273, 22677, 333, 268, 272, 5148, 535, 328, 282, 535, 328, 282, 1439, 282, 1948, 2034, 32712, 1982, 281, 513, 281, 284, 562, 15010, 630, 28843, 271, 347, 272, 347, 271, 347, 271, 285, 267, 2999, 271, 347, 271, 347, 272, 347, 271, 285, 267, 2999, 271, 347, 271, 347, 271, 347, 272, 285, 267, 26013, 273, 347, 274, 347, 268, 276, 347, 275, 9563, 317, 333, 25011, 274, 267, 476, 275, 13912, 694, 336, 5416, 3799, 1070, 562, 284, 271, 907, 1789, 5148, 1948, 1325, 12251, 623, 269, 26081, 345, 267, 3057, 476, 2767, 476, 1001, 278, 13878, 26154, 2316, 7563, 562, 333, 284, 2004, 282, 513, 24210, 317, 273, 14370, 272, 14870, 8203, 273, 282, 29100, 314, 290, 4141, 2310, 8266, 314, 306, 7685, 314, 320, 1535, 14370, 272, 8584, 1535, 19422, 272, 268, 273, 343, 1070, 2715, 343, 267, 476, 271, 267, 562, 333, 348, 3910, 1535, 3910, 476, 273, 316, 30916, 2983, 32015, 7600, 10045, 267, 8734, 476, 2918, 476, 1001, 274, 2608, 264, 12430, 13434, 584, 5270, 314, 346, 275, 267, 910, 276, 267, 476, 274, 267, 910, 273, 9574, 2715, 271, 267, 476, 272, 267, 476, 275, 267, 476, 1556, 9574, 476, 3953, 316, 30916, 14639, 6363, 3757, 9809, 12251, 1325, 16225, 267, 4924, 476, 6187, 476, 1001, 277, 2608, 264, 595, 4629, 7704, 3918, 12396, 25627, 538, 2796, 281, 589, 15686, 3583, 277, 589, 271, 4097, 24833, 589, 271, 3607, 279, 3445, 2608, 589, 28510, 7597, 272, 589, 271, 5325, 5952, 280, 589, 1911, 28178, 1520, 329, 8809, 9696, 281, 589, 1822, 7742, 589, 1822, 25172, 589, 1822, 21857, 2608, 589, 1822, 22724, 589, 1822, 14838, 589, 1822, 16348, 26395, 312, 310, 16704, 1875, 333, 27483, 295, 3036, 26778, 1215, 12245, 630, 26400, 578, 12245, 263, 2969, 264, 636, 747, 12975, 264, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 5589, 757, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5412, 476, 276, 476, 6187, 281, 2537, 29643, 476, 1708, 273, 269, 1230, 13935, 476, 3374, 279, 276, 4281, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 9943, 692, 2971, 11289, 596, 585, 11578, 532, 780, 3080, 540, 938, 4081, 5646, 8688, 832, 786, 3346, 596, 1369, 476, 272, 2324, 1554, 780, 12812, 547, 13378, 692, 5197, 271, 268, 9083, 274, 268, 3422, 692, 266, 11011, 268, 6344, 268, 5379, 272, 20981, 271, 692, 290, 11286, 476, 271, 692, 1892, 476, 271, 692, 300, 312, 595, 11286, 630, 276, 2020, 8196, 595, 19281, 517, 281, 595, 11286, 736, 543, 1205, 476, 736, 260, 1055, 593, 782, 2228, 5530, 7698, 692, 3951, 4932, 454, 291, 4953, 288, 6579, 306, 454, 300, 14641, 454, 291, 3041, 4596, 7419, 307, 454, 293, 2562, 3201, 11553, 21201, 454, 13707, 12313, 281, 12652, 780, 2467, 616, 1100, 3688, 538, 713, 7047, 563, 25594, 19255, 4771, 454, 1892, 13159, 808, 7417, 6301, 270, 28723, 6092, 543, 4530, 10022, 454, 1892, 5508, 29052, 3633, 11553, 21201, 281, 12652, 269, 476, 1428, 267, 12010, 454, 1892, 7348, 19672, 692, 3499, 306, 9407, 6201, 593, 2983, 6248, 4273, 1833, 692, 26877, 755, 1674, 476, 272, 281, 1323, 12808, 717, 10422, 269, 814, 922, 1101, 2165, 607, 1535, 543, 2040, 607, 476, 276, 269, 3973, 1018, 568, 519, 2039, 540, 1535, 286, 630, 1220, 275, 2020, 11405, 281, 8827, 281, 649, 917, 602, 519, 2040, 540, 606, 12808, 717, 10422, 269, 568, 692, 306, 31236, 815, 513, 270, 630, 272, 8573, 1070, 952, 1923, 337, 347, 2999, 476, 272, 692, 284, 3980, 508, 267, 24748, 952, 1923, 337, 347, 21759, 476, 272, 692, 17798, 267, 590, 31236, 815, 1535, 14370, 272, 8573, 264, 815, 476, 276, 692, 7775, 476, 272, 8573, 815, 1535, 270, 276, 692, 17798, 267, 678, 815, 630, 276, 14870, 8358, 276, 6818, 1152, 950, 1923, 337, 347, 2999, 476, 272, 692, 17798, 267, 910, 272, 2999, 630, 276, 14870, 8358, 276, 2999, 272, 692, 268, 1015, 2999, 910, 343, 2999, 476, 271, 692, 3383, 713, 3947, 476, 271, 2999, 1535, 2999, 476, 1015, 780, 26877, 755, 1674, 476, 273, 281, 1109, 634, 3791, 2165, 540, 513, 12166, 11144, 568, 476, 275, 269, 1548, 568, 519, 1587, 540, 519, 1101, 2947, 2474, 2496, 11405, 281, 1934, 621, 568, 2016, 602, 512, 274, 815, 476, 275, 780, 17798, 267, 713, 1797, 818, 273, 815, 275, 692, 3086, 1587, 540, 1101, 2947, 2474, 25883, 320, 30784, 30784, 273, 30784, 274, 30784, 275, 692, 284, 513, 276, 337, 1015, 692, 284, 630, 541, 273, 264, 276, 692, 284, 476, 3393, 692, 26877, 755, 1674, 281, 6333, 606, 12808, 12166, 3126, 609, 1101, 2165, 2048, 320, 685, 543, 1455, 5223, 2048, 337, 9957, 4855, 519, 2418, 540, 2048, 320, 685, 543, 2048, 337, 685, 952, 922, 2034, 2165, 568, 476, 382, 378, 543, 922, 2040, 568, 476, 275, 780, 11405, 281, 898, 568, 2016, 538, 519, 2243, 602, 519, 2034, 2165, 568, 476, 382, 378, 543, 519, 2040, 568, 476, 275, 780, 10702, 267, 519, 1101, 2165, 568, 2048, 320, 685, 543, 519, 1455, 5223, 568, 2048, 337, 685, 780, 17798, 267, 649, 723, 513, 270, 630, 272, 8573, 264, 815, 476, 275, 543, 818, 815, 476, 274, 270, 275, 780, 1607, 3947, 519, 1871, 540, 678, 607, 476, 274, 270, 275, 320, 780, 3383, 267, 476, 275, 320, 273, 14370, 275, 320, 268, 274, 264, 815, 476, 275, 692, 1607, 3947, 630, 320, 268, 272, 7565, 320, 268, 274, 264, 815, 476, 271, 692, 17798, 267, 513, 815, 476, 272, 610, 476, 274, 780, 2691, 513, 815, 476, 272, 1287, 678, 815, 274, 270, 275, 543, 950, 513, 815, 476, 274, 1287, 678, 815, 476, 272, 270, 275, 780, 7884, 2162, 6092, 17972, 692, 1892, 476, 278, 2764, 11473, 700, 624, 999, 454, 1892, 31280, 11872, 454, 1892, 19881, 5729, 14430, 454, 1892, 9650, 10934, 454, 1892, 5530, 4643, 1676, 454, 1892, 19436, 10298, 454, 1892, 17564, 17072, 454, 1892, 4530, 1957, 609, 11473, 8827, 0, 1012, 12309, 14466 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18953, 519, 8880, 1899, 454, 663, 1665, 519, 1448, 540, 3346, 609, 661, 780, 273, 544, 1164, 267, 865, 602, 476, 272, 269, 276, 544, 540, 519, 28506, 3785, 3564, 519, 3774, 1797, 1384, 6195, 815, 476, 273, 544, 692, 3722, 815, 476, 276, 910, 476, 272, 269, 276, 815, 476, 274, 269, 276, 544, 692, 6523, 16564, 815, 7460, 1315, 8028, 815, 476, 273, 1315, 476, 274, 269, 276, 815, 476, 271, 269, 6872, 272, 275, 2764, 6872, 272, 692, 15184, 815, 5430, 22397, 375, 382, 373, 630, 476, 271, 269, 6872, 272, 275, 2764, 6872, 272, 3738, 815, 476, 4649, 269, 5611, 272, 4113, 815, 476, 4649, 4113, 476, 280, 28847, 5804, 519, 16726, 540, 12730, 1384, 6195, 1315, 8028, 815, 16692, 1315, 5084, 692, 7712, 7460, 815, 476, 273, 544, 2073, 8028, 815, 476, 274, 269, 276, 544, 2073, 5084, 815, 476, 276, 544, 1384, 273, 1315, 476, 274, 269, 276, 815, 16692, 1315, 476, 276, 692, 15899, 9062, 780, 1015, 815, 476, 274, 269, 276, 3980, 503, 16692, 692, 14701, 815, 476, 1015, 1315, 476, 274, 269, 276, 815, 476, 273, 269, 5952, 278, 16318, 5952, 278, 272, 692, 14701, 9881, 486, 476, 273, 269, 10436, 544, 692, 21228, 1693, 454, 7230, 1046, 1384, 6523, 22397, 375, 382, 373, 3006, 2854, 607, 818, 764, 657, 865, 10484, 15184, 815, 5430, 22397, 375, 382, 373, 630, 476, 271, 269, 6872, 272, 275, 2764, 6872, 272, 3738, 815, 476, 4649, 269, 5611, 272, 4113, 815, 476, 4649, 4113, 476, 280, 28847, 529, 519, 1482, 607, 692, 15184, 815, 818, 764, 657, 630, 476, 271, 269, 6872, 272, 275, 2764, 6872, 272, 3738, 815, 476, 4649, 269, 5611, 272, 4113, 815, 476, 4649, 4113, 476, 280, 28847, 19749, 486, 1797, 5111, 3160, 454, 21228, 30668, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 21508, 373, 20804, 454, 275, 269, 9462, 504, 358, 0, 2791, 616, 3371, 281, 5851, 3436, 283, 13174, 692, 258, 631, 9298, 589, 5426, 13174, 27387, 631, 298, 4083, 13772, 692, 272, 269, 630, 24314, 2022, 676, 29382, 9802, 525, 994, 11039, 267, 4244, 569, 1384, 8967, 334, 8814, 912, 17004, 692, 1607, 1287, 3947, 721, 519, 1482, 3364, 607, 519, 681, 9391, 267, 3177, 602, 2073, 799, 568, 4010, 519, 1267, 649, 6508, 1210, 519, 824, 1505, 780, 9827, 1384, 296, 3494, 602, 7605, 29560, 781, 2856, 540, 6305, 2338, 568, 2965, 513, 1732, 1259, 540, 21365, 519, 2243, 267, 1317, 621, 666, 581, 6905, 547, 2665, 1141, 1312, 2338, 616, 9642, 610, 1312, 1256, 269, 585, 1383, 1384, 8967, 334, 8814, 912, 17004, 692, 3682, 557, 602, 568, 19450, 780, 10112, 2541, 519, 6587, 1775, 4318, 780, 4517, 649, 1287, 1205, 547, 1384, 3086, 267, 707, 9642, 543, 1256, 2093, 4465, 1405, 960, 1934, 269, 1717, 267, 596, 666, 2161, 602, 267, 1100, 2339, 875, 1082, 2053, 596, 9062, 476, 276, 676, 3294, 267, 621, 786, 2760, 2744, 513, 3815, 540, 476, 278, 630, 663, 13030, 268, 951, 320, 264, 865, 607, 547, 17589, 519, 27171, 596, 2811, 1310, 780, 11039, 267, 596, 2811, 2965, 1318, 563, 273, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 2690, 782, 454, 274, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 2690, 782, 454, 275, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 312, 788, 454, 4692, 594, 723, 513, 2147, 835, 2663, 593, 607, 513, 1900, 909, 543, 547, 2638, 952, 594, 1205, 621, 5265, 561, 11169, 454, 276, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 2690, 782, 454, 3682, 557, 602, 692, 810, 922, 10416, 6031, 28171, 602, 568, 538, 519, 1305, 540, 32311, 1023, 568, 711, 7787, 585, 782, 2067, 2338, 562, 692, 339, 582, 958, 11821, 267, 798, 594, 723, 547, 6961, 621, 568, 711, 7787, 585, 782, 2067, 2338, 562, 454, 277, 269, 630, 24314, 2022, 676, 20259, 345, 994, 4692, 594, 723, 513, 2147, 835, 2663, 593, 607, 513, 1900, 909, 543, 547, 2638, 952, 594, 1205, 621, 5265, 561, 11169, 454, 306, 675, 912, 3963, 711, 723, 513, 979, 693, 21634, 1460, 781, 1966, 912, 3682, 557, 602, 281, 568, 19450, 454, 278, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 3682, 557, 602, 692, 810, 922, 10416, 6031, 28171, 602, 568, 538, 519, 1305, 540, 32311, 1023, 568, 711, 7787, 585, 782, 2067, 2338, 562, 692, 339, 582, 958, 11821, 267, 798, 594, 723, 547, 6961, 621, 568, 711, 7787, 585, 782, 2067, 2338, 562, 454, 8133, 547, 519, 12050, 454, 279, 269, 19577, 602, 12631, 266, 324, 568, 606, 19450, 563, 296, 2731, 1810, 1405, 917, 952, 602, 568, 2653, 610, 2182, 267, 1175, 2219, 827, 621, 563, 280, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 8133, 547, 519, 12050, 454, 8967, 334, 8814, 912, 17004, 692, 30787, 909, 606, 4082, 2676, 2252, 922, 2938, 3020, 585, 562, 284, 272, 267, 1287, 8263, 3020, 585, 562, 284, 330, 971, 602, 692, 663, 952, 7787, 1287, 692, 2690, 2318, 9981, 562, 692, 2252, 849, 3020, 585, 562, 284, 330, 267, 1287, 849, 3020, 585, 562, 284, 330, 266, 272, 971, 602, 692, 5591, 2856, 25473, 692, 1015, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 306, 675, 912, 3963, 711, 723, 513, 979, 693, 21634, 1460, 781, 1966, 912, 3682, 557, 602, 281, 568, 19450, 454, 302, 330, 904, 1955, 320, 3548, 12129, 543, 3049, 1250, 562, 19991, 1287, 1775, 3513, 3801, 621, 267, 530, 334, 2129, 5622, 20743, 454, 1556, 269, 630, 24314, 2022, 676, 10790, 344, 2006, 1321, 994, 27893, 602, 12631, 266, 324, 568, 606, 19450, 563, 296, 2731, 1810, 1405, 917, 952, 602, 568, 2653, 610, 2182, 267, 1175, 2219, 827, 621, 563, 296, 1810, 1405, 1589, 972, 568, 1256, 513, 6169, 585, 713, 910, 972, 568, 513, 1305, 540, 827, 476, 276, 10659, 540, 14039, 543, 552, 267, 799, 723, 711, 1044, 8810, 7787, 610, 19450, 267, 1152, 602, 1152, 865, 1082, 666, 581, 7787, 610, 19450, 563, 1321, 269, 630, 24314, 2022, 676, 10790, 344, 2006, 1321, 994, 27893, 602, 12631, 266, 324, 568, 606, 19450, 563, 296, 2731, 1810, 1405, 917, 952, 602, 568, 2653, 610, 2182, 267, 1175, 2219, 827, 621, 563, 6701, 596, 512, 13764, 898, 781, 711, 1634, 1141, 568, 19450, 2483, 1724, 269, 630, 24314, 2022, 676, 29382, 9802, 525, 994, 296, 1810, 1405, 1589, 972, 568, 1256, 513, 6169, 585, 713, 910, 972, 568, 513, 1305, 540, 827, 476, 276, 10659, 540, 14039, 543, 552, 267, 799, 723, 711, 1044, 8810, 7787, 610, 19450, 267, 1152, 602, 1152, 865, 1082, 666, 581, 7787, 610, 19450, 563, 263, 24314, 2022, 676, 21634, 1460, 21634, 545, 529, 994, 6701, 596, 512, 13764, 898, 781, 711, 1634, 1141, 568, 19450, 2483, 296, 1175, 2219, 827, 621, 267, 4769, 1405, 1256, 3406, 621, 563, 1691, 269, 630, 24314, 2022, 676, 10790, 344, 2006, 1321, 994, 27893, 602, 12631, 266, 324, 568, 606, 19450, 563, 296, 2731, 1810, 1405, 917, 952, 602, 568, 2653, 610, 2182, 267, 1175, 2219, 827, 621, 563, 10112, 11167, 602, 649, 917, 1312, 543, 616, 7787, 267, 543, 602, 543, 616, 16637, 1581, 596, 666, 3362, 6961, 602, 2901, 610, 610, 1312, 616, 19450, 454, 3719, 513, 1697, 3070, 666, 1405, 581, 1336, 454, 1428, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 8967, 334, 8814, 912, 17004, 692, 30787, 909, 606, 4082, 2676, 2252, 922, 2938, 3020, 585, 562, 284, 272, 267, 1287, 8263, 3020, 585, 562, 284, 330, 971, 602, 692, 663, 952, 7787, 1287, 692, 2690, 2318, 9981, 562, 692, 2252, 849, 3020, 585, 562, 284, 330, 267, 1287, 849, 3020, 585, 562, 284, 330, 266, 272, 971, 602, 692, 5591, 2856, 25473, 692, 28989, 910, 519, 751, 343, 729, 4440, 2182, 547, 1224, 563, 2005, 781, 476, 272, 270, 274, 18898, 454, 1626, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 28989, 910, 519, 751, 343, 729, 4440, 2182, 547, 1224, 563, 2005, 781, 476, 272, 270, 274, 18898, 454, 21036, 267, 1022, 2489, 2161, 476, 274, 2798, 594, 1058, 2832, 547, 798, 950, 21365, 713, 2243, 267, 543, 6148, 594, 666, 4137, 519, 1964, 856, 2496, 8649, 594, 17935, 547, 1265, 513, 27171, 585, 562, 284, 330, 266, 272, 888, 1704, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 21036, 267, 1022, 2489, 2161, 476, 274, 2798, 594, 1058, 2832, 547, 798, 950, 21365, 713, 2243, 267, 543, 6148, 594, 666, 4137, 519, 1964, 856, 2496, 8649, 594, 17935, 547, 1265, 513, 27171, 585, 562, 284, 330, 266, 272, 888, 5591, 910, 621, 781, 15632, 596, 1616, 269, 2659, 4493, 2013, 568, 562, 284, 272, 267, 799, 596, 4312, 2907, 9863, 454, 1240, 269, 630, 24314, 2022, 676, 3675, 739, 534, 994, 5591, 910, 621, 781, 15632, 596, 1616, 269, 2659, 4493, 2013, 568, 562, 284, 272, 267, 799, 596, 4312, 2907, 9863, 454, 14738, 855, 729, 594, 593, 519, 1318, 2619, 2063, 942, 286, 594, 1305, 621, 3160, 547, 513, 11486, 950, 649, 616, 3843, 547, 6961, 621, 547, 581, 19450, 286, 2107, 568, 519, 27171, 3294, 519, 31602, 6169, 888, 866, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 14738, 855, 729, 594, 593, 519, 1318, 2619, 2063, 942, 286, 594, 1305, 621, 3160, 547, 513, 11486, 950, 649, 616, 3843, 547, 6961, 621, 547, 581, 19450, 286, 2107, 568, 519, 27171, 3294, 519, 31602, 6169, 888, 2791, 949, 581, 2111, 547, 798, 865, 267, 855, 513, 3044, 6169, 676, 15632, 568, 782, 602, 781, 2838, 563, 10112, 2541, 3020, 585, 562, 284, 330, 454, 17004, 602, 621, 781, 5812, 609, 562, 284, 330, 266, 272, 454, 736, 269, 630, 24314, 2022, 676, 7605, 29560, 26237, 994, 14738, 855, 729, 594, 593, 519, 1318, 2619, 2063, 942, 286, 594, 1305, 621, 3160, 547, 513, 11486, 950, 649, 616, 3843, 547, 6961, 621, 547, 581, 19450, 286, 2107, 568, 519, 27171, 3294, 519, 31602, 6169, 888, 9827, 594, 1058, 4312, 5143, 596, 602, 585, 1022, 19450, 1535, 1384, 15987, 621, 781, 959, 643, 6053, 2241, 547, 17429, 576, 692, 4811, 305, 8081, 12243, 692, 2171, 723, 513, 13085, 2319, 540, 811, 982, 476, 2568, 8081, 12243, 2818, 3168, 1310, 5717, 593, 634, 9906, 18740, 267, 4543, 547, 1118, 621, 513, 1187, 267, 2922, 543, 3730, 1747, 547, 13793, 856, 780, 1607, 8468, 568, 6462, 676, 912, 24993, 281, 5147, 476, 1015, 267, 476, 1001, 274, 454, 9213, 593, 570, 17876, 692, 2162, 1772, 713, 1268, 513, 21184, 2496, 1862, 5976, 891, 589, 5426, 2164, 2496, 2162, 594, 1589, 594, 6415, 19574, 589, 7246, 692, 11577, 21631, 593, 570, 17876, 692, 1892, 26257, 454, 1892, 12361, 6423, 811, 540, 1018, 596, 899, 593, 634, 9906, 18740, 692, 2791, 666, 2123, 1047, 1018, 596, 1294, 593, 570, 17876, 269, 15681, 721, 513, 2370, 827, 3054, 547, 1205, 3323, 780, 1892, 15724, 454, 8196, 995, 2200, 692, 4692, 596, 948, 286, 5530, 948, 796, 753, 26833, 16060, 19138, 6435, 3652, 543, 20171, 4808, 17442, 307, 1410, 3391, 585, 1603, 4834, 593, 570, 17876, 692, 1012, 20492, 2404, 609, 713, 8468, 1384, 8698, 2404, 2516, 454, 11577, 21631, 593, 570, 17876, 692, 1892, 26257, 454, 1892, 12361, 6423, 811, 540, 1018, 596, 899, 593, 634, 9906, 18740, 692, 2791, 666, 2123, 1047, 1018, 596, 1294, 593, 570, 17876, 269, 15681, 721, 513, 2370, 827, 3054, 547, 1205, 3323, 780, 1892, 634, 9906, 18740, 267, 5192, 4860, 2358, 543, 4460, 539, 676, 11334, 616, 9467, 4408, 540, 634, 9906, 18740, 6828, 13456, 780, 8802, 3563, 7089, 281, 476, 271, 5379, 5780, 274, 3199, 630, 8777, 1633, 543, 12986, 1070, 966, 2969, 3143, 269, 476, 3199, 277, 476, 3199, 277, 278, 476, 2420, 21362, 1229, 8433, 281, 4139, 5600, 267, 19803, 10003, 267, 24761, 517, 267, 645, 301, 272, 476, 274, 311, 292, 692, 11847, 16615, 21889, 281, 1411, 1205, 891, 21889, 607, 596, 2744, 1065, 689, 824, 2818, 585, 1818, 1434, 7418, 543, 4758, 5363, 5796, 269, 0, 1012, 9351, 540, 513, 667, 1712, 322, 6782, 692, 22428, 596, 1616, 547, 1265, 519, 1858, 540, 513, 546, 1712, 322, 6782, 27485, 538, 513, 5858, 540, 8953, 476, 272, 269, 2290, 1259, 547, 798, 713, 568, 547, 7941, 519, 546, 1712, 322, 6782, 883, 476, 1321, 568, 30801, 12730, 609, 1079, 5011, 540, 3259, 476, 272 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 878, 585, 6103, 476, 276, 4149, 21283, 4041, 476, 1704, 3503, 513, 12726, 31745, 528, 7433, 609, 2659, 4147, 476, 1240, 10432, 476, 272, 654, 9879, 5455, 547, 5675, 32722, 270, 26855, 2163, 5675, 609, 24771, 4841, 5517, 543, 32722, 19671, 5750, 268, 476, 273, 526, 3446, 594, 666, 2731, 946, 713, 538, 1250, 4928, 2336, 8196, 950, 3450, 5517, 1315, 32722, 538, 2542, 3095, 547, 32722, 1603, 269, 5517, 32722, 31745, 528, 15873, 910, 26479, 540, 1312, 267, 1806, 540, 1142, 11341, 547, 519, 1482, 1641, 630, 20597, 8636, 956, 264, 5517, 610, 6644, 6423, 811, 563, 296, 5828, 1403, 707, 2034, 3446, 1053, 616, 2324, 593, 6644, 1603, 267, 596, 949, 581, 3168, 585, 513, 1906, 2645, 547, 1205, 3323, 269, 32722, 5675, 585, 476, 273, 526, 27240, 619, 269, 2904, 476, 277, 267, 594, 5828, 547, 26964, 543, 1336, 713, 19671, 5750, 269, 634, 3312, 2707, 729, 14970, 267, 11146, 267, 700, 2795, 267, 6258, 3689, 6103, 267, 799, 1100, 3476, 4667, 547, 581, 606, 3742, 5816, 6185, 5877 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 581, 4502, 1310, 476, 1015, 1296, 286, 476, 1240, 267, 12208, 269, 3393, 476, 4281, 267, 1220, 476, 1240, 267, 280, 6078, 269, 7176, 476, 7597, 267, 1822, 476, 1240, 267, 12208, 269, 3393, 589, 8096, 7785, 271, 9030, 1274, 985, 476, 279, 260, 1719, 31903, 10859, 12422, 1310, 476, 3374, 692, 275, 269, 12693, 7223, 692, 307, 26474, 1902, 338, 8096, 276, 267, 1822, 12422, 693, 476, 277, 260, 543, 8096, 276, 267, 1822, 12422, 693, 476, 279, 10065, 7338, 1902, 338, 8096, 1015, 267, 1822, 12422, 693, 476, 278, 10065, 6904, 3948, 8308, 19776, 519, 1079, 9541, 952, 1719, 568, 31903, 12422, 2496, 272, 269, 12693, 10789, 692, 288, 8096, 277, 267, 4968, 269, 876, 9030, 1274, 985, 476, 277, 260, 1719, 267, 31903, 12422, 269, 2991, 476, 274, 1296, 267, 1018, 568, 519, 3666, 538, 519, 2272, 286, 513, 269, 8096, 272, 267, 11740, 267, 8517, 269, 876, 536, 269, 8096, 278, 267, 2004, 274, 269, 2412, 524, 269, 8096, 278, 267, 275, 4097, 269, 876, 30995, 546, 269, 8096, 1839, 267, 3199, 275, 269, 3199, 692, 273, 269, 12693, 4569, 692, 288, 9806, 2272, 1274, 985, 476, 276, 260, 2241, 1719, 829, 1032, 269, 634, 9030, 568, 8096, 6344, 271, 269, 1548, 568, 519, 3666, 1310, 476, 275, 1296, 2496, 274, 269, 12693, 4569, 692, 5719, 3570, 1902, 338, 930, 2724, 602, 1274, 985, 1719, 31903, 12422, 269, 2311, 519, 1439, 540, 519, 1101, 1032, 267, 1352, 1274, 985, 8096, 6110, 538, 1719, 269, 2311, 519, 1439, 540, 519, 2034, 1032, 267, 1352, 1274, 985, 8096, 28242, 538, 1719, 269, 513, 264, 1018, 1719, 2557, 267, 31903, 12422, 267, 568, 692, 275, 269, 12693, 4569, 6744, 3733, 4518, 7490, 476, 273, 692, 1428, 269, 23436, 3217, 513, 10211, 540, 8096, 1015, 267, 4335, 693, 513, 476, 280, 260, 2241, 1719, 2557, 585, 476, 278, 1296, 269, 513, 269, 1215, 1454, 1719, 786, 1352, 2628, 1310, 476, 274, 1296, 286, 536, 269, 1215, 1454, 1719, 786, 1352, 2628, 538, 2698, 585, 519, 10211, 286, 8096, 273, 267, 279, 3374, 269, 876, 393, 378, 8096, 277, 267, 277, 1428, 269, 876, 8096, 279, 267, 18231, 269, 876, 393, 378, 8096, 280, 267, 24798, 269, 876, 22177, 272, 269, 12693, 14691, 20603, 543, 5071, 630, 15276, 286, 2020, 17637, 513, 16468, 4058, 9498, 585, 4787, 1638, 532, 674, 4532, 2574, 7896, 269, 2353, 334, 513, 3593, 547, 4283, 513, 1297, 540, 2324, 1296, 6967, 538, 519, 3593, 781, 4876, 543, 519, 5993, 2179, 540, 2724, 519, 3593, 666, 4688, 269, 27539, 602, 519, 3593, 1274, 985, 692, 273, 269, 12693, 2979, 268, 840, 11810, 692, 9767, 616, 7263, 1746, 8096, 1911, 271, 9489, 538, 513, 9806, 2272, 543, 616, 2016, 519, 1739, 3681, 269, 476, 277, 269, 273, 260, 5993, 1719, 2557, 267, 31903, 12422, 476, 277, 269, 272, 260, 5993, 1719, 2557, 267, 31903, 10116, 569, 476, 277, 269, 271, 260, 5993, 1719, 2557, 267, 31903, 692, 274, 269, 12693, 7223, 692, 22772, 519, 3666, 538, 519, 2272, 267, 476, 20065, 271, 9030, 15980, 476, 275, 9077, 31903, 12422, 267, 1310, 476, 274, 1296, 2496, 275, 269, 12693, 4569, 692, 763, 9046, 281, 1411, 3094, 519, 6264, 16101, 593, 513, 3014, 1397, 269, 1411, 723, 519, 1739, 5079, 281, 26840, 476, 272, 281, 8096, 272, 2173, 11669, 9489, 6976, 607, 513, 8096, 1839, 476, 1822, 3045, 8462, 1169, 1032, 936, 476, 2412, 1296, 269, 26840, 476, 273, 281, 634, 1459, 1871, 540, 4781, 476, 272, 952, 519, 1699, 1719, 0, 258, 1215, 1082, 25586, 1014, 11708, 609, 1269, 333, 259, 14622, 692, 1692, 1082, 25586, 1014, 11708, 609, 1269, 333, 259, 14622, 971, 602, 4399, 1721, 718, 642, 22174, 966, 281, 323, 17635, 264, 283, 275, 259, 616, 972, 286, 630, 9616, 519, 3113, 3085, 1405, 723, 547, 581, 4448, 24355, 296, 666, 1405, 4383, 547, 1265, 606, 2626, 269, 634, 14191, 594, 3893, 729, 1269, 273, 3867, 333, 4151, 855, 602, 781, 1318, 1152, 585, 1269, 333, 315, 19008, 476, 274, 16859, 12179, 2093, 2496, 3383, 594, 1832, 6836, 543, 2219, 540, 602, 1384, 4131, 1269, 321, 5332, 259, 581, 519, 1297, 540, 4448, 25586, 1014, 11708, 609, 562, 14622, 269, 1269, 321, 5332, 284, 272, 259, 585, 1269, 333, 315, 19008, 476, 274, 259, 543, 1269, 321, 5332, 14352, 333, 268, 272, 264, 321, 3709, 333, 268, 272, 4151, 585, 1269, 333, 315, 28254, 476, 275, 16859, 4131, 1269, 320, 5332, 259, 581, 519, 1297, 540, 25586, 1014, 11708, 609, 562, 14622, 630, 1492, 1297, 649, 1616, 547, 1265, 1040, 1269, 320, 5332, 7807, 8999, 3709, 328, 284, 271, 11892, 333, 23533, 315, 577, 5366, 1775, 348, 321, 10983, 6911, 763, 2601, 568, 602, 649, 3442, 1269, 328, 259, 14622, 547, 581, 519, 14622, 602, 616, 4448, 630, 9767, 666, 2161, 834, 4820, 540, 519, 1483, 3113, 257, 1317, 519, 1866, 1810, 1405, 2339, 267, 519, 25586, 2619, 3884, 1405, 8429, 998, 873, 264, 543, 1287, 649, 9062, 621, 676, 519, 1297, 540, 25586, 9979, 649, 666, 1628, 689, 873, 269, 1924, 649, 1205, 513, 2040, 540, 20270, 333, 315, 577, 5366, 1775, 4153, 10383, 536, 10983, 6911, 2005, 781, 7168, 2653, 547, 1294, 1269, 321, 5332, 259, 568, 899, 519, 27353, 5311, 609, 513, 2370, 1689, 269, 1284, 786, 1205, 1269, 321, 5332, 7807, 2765, 18950, 333, 268, 272, 25631, 2410, 273, 256, 4151, 585, 1269, 333, 315, 28254, 476, 275, 6911, 4517, 865, 649, 3893, 1269, 320, 5332, 284, 273, 18898, 259, 585, 1269, 333, 315, 19008, 476, 274, 259, 543, 1269, 320, 5332, 7807, 8999, 3709, 328, 284, 271, 11892, 274, 23533, 315, 577, 5366, 1775, 23180, 8999, 3709, 328, 284, 275, 11892, 333, 2715, 333, 315, 577, 5366, 1775, 4153, 2765, 18950, 328, 268, 272, 25631, 2410, 273, 256, 4151, 585, 1269, 333, 315, 28254, 476, 275, 6911, 3674, 602, 2953, 2496, 2252, 621, 568, 267, 568, 972, 1022, 1259, 547, 1205, 7759, 540, 519, 4399, 8999, 259, 2496, 1892, 1403, 513, 3113, 814, 606, 25586, 1014, 2619, 1287, 621, 1590, 581, 4448, 7790, 3267, 3657, 707, 519, 11708, 31002, 610, 796, 18350, 8215, 7790, 1107, 1109, 291, 10735, 590, 680, 13616, 342, 527, 7325, 476, 2764, 1412, 1704, 693, 476, 1015, 281, 4510, 454, 1892, 7711, 291, 10735, 306, 680, 13616, 342, 527, 606, 25586, 1014, 13009, 3096, 1169, 6316, 267, 865, 1169, 6316, 1590, 581, 538, 519, 1482, 5057, 269, 901, 3884, 1405, 519, 1482, 607, 1373, 4448, 267, 607, 596, 1223, 723, 9678, 14622, 269, 1107, 1109, 19324, 2403, 700, 830, 7325, 476, 2764, 1412, 1704, 693, 476, 1015, 281, 4366, 454, 1892, 7711, 19324, 2403, 299, 830, 2986, 1576, 972, 1522, 581, 2357, 6776, 625, 609, 1130, 1890, 4642, 269, 630, 5445, 786, 711, 581, 4448, 264, 3267, 8729, 585, 8744, 713, 547, 1250, 3007, 269, 1107, 1109, 291, 10735, 590, 680, 13616, 342, 527, 7325, 476, 2764, 1412, 1704, 693, 476, 1015, 281, 7871, 692, 2252, 513, 3113, 568, 25586, 1014, 1287, 1269, 323, 17635, 7751, 814, 547, 581, 1256, 585, 1169, 1269, 341, 10608, 1403, 1269, 323, 17635, 264, 283, 275, 259, 1287, 972, 616, 1152, 1079, 3681, 281, 1269, 271, 259, 543, 1269, 273, 16859, 2252, 1169, 14584, 814, 4110, 1269, 271, 259, 610, 1269, 273, 259, 1287, 519, 3113, 568, 513, 9769, 540, 9979, 543, 9678, 14622, 780, 3383, 267, 799, 11708, 540, 713, 1106, 616, 2965, 25586, 1014, 286, 2052, 596, 1293, 519, 3283, 602, 616, 2496, 1548, 596, 4312, 3773, 568, 630, 296, 1631, 29311, 264, 2953, 585, 1617, 15572, 338, 269, 594, 3893, 3230, 320, 5332, 284, 272, 10954, 8999, 3709, 328, 284, 274, 11892, 333, 315, 16535, 558, 562, 328, 21702, 18950, 328, 268, 272, 25631, 2410, 273, 9574, 2330, 855, 594, 729, 14322, 2241, 11708, 780, 296, 666, 1405, 1294, 875, 547, 2057, 519, 2040, 780, 1892, 594, 1589, 596, 1611, 1018, 594, 1175, 3773, 267, 666, 596, 1413, 693, 1018, 594, 3773, 5225, 286, 2433, 291, 1107, 1109, 1087, 1087, 338, 7325, 476, 2764, 1412, 1704, 693, 476, 1556, 281, 1015, 454, 1892, 4208, 568, 1269, 320, 318, 272, 284, 272, 259, 286, 898, 666, 2901, 581, 513, 3113, 609, 1269, 309, 28121, 320, 4151, 543, 1269, 292, 7807, 3319, 903, 564, 259, 610, 1269, 292, 284, 18950, 320, 28083, 264, 4151, 865, 1269, 320, 318, 272, 284, 273, 259, 596, 1522, 581, 19451, 609, 1269, 321, 5332, 259, 799, 972, 621, 568, 476, 272, 855, 1269, 321, 318, 274, 284, 272, 259, 1317, 2705, 596, 798, 606, 25586, 1014, 3113, 609, 476, 274, 14622, 621, 786, 782, 1811, 581, 519, 1482, 630, 26421, 14584, 814, 519, 1482, 12543, 264, 543, 865, 1269, 321, 318, 274, 284, 272, 10608, 1411, 1522, 581, 19451, 609, 1018, 594, 5921, 1269, 320, 5332, 259, 543, 1269, 321, 5332, 259, 4564, 1107, 1109, 1087, 1087, 338, 7325, 476, 2764, 1412, 1704, 693, 476, 1691, 281, 5392, 454, 1892, 5221, 602, 781, 711, 1454, 267, 596, 666, 1256, 2328, 1524, 782, 519, 3681, 585, 562, 284, 274, 269, 3973, 596, 786, 1294, 1269, 320, 318, 274, 284, 279, 259, 1107, 1109, 1087, 1087, 338, 7325, 476, 2764, 1412, 1704, 693, 476, 1428, 281, 5400, 454, 1892, 13259, 267, 594, 729, 14322, 2241, 11708, 630, 3602, 519, 1152, 7399, 585, 1269, 333, 284, 274, 259, 616, 519, 2347, 3113, 543, 519, 8900, 3113, 1040, 1403, 17787, 543, 2789, 8728, 616, 4847, 1287, 594, 1174, 1946, 707, 4542, 568, 1318, 269, 1107, 1109, 19324, 2403, 700, 830, 7325, 476, 2764, 1412, 1704, 693, 476, 1428, 281, 7367, 454, 1892, 570, 4454, 865, 267, 855, 594, 2760, 1767, 1152, 2241, 11708, 2433, 264, 1107, 1109, 1087, 1087, 338, 7325, 476, 3066, 1412, 1704, 693, 476, 1556, 281, 5881, 0, 258, 681, 1497, 1948, 2735, 692, 1012, 13201, 547, 581, 7745, 692, 1432, 814, 547, 581, 7745, 1354, 596, 666, 946, 621, 888, 2304, 4212, 563, 10019, 269, 4366, 1109, 30515, 1012, 2052, 581, 3032, 3481, 855, 711, 28520, 692, 1432, 666, 596, 6952, 855, 711, 12235, 888, 288, 4411, 563, 9262, 269, 1691, 1109, 30515, 1012, 670, 1841, 13004, 1297, 692, 8620, 513, 1297, 1210, 1152, 519, 9704, 476, 275, 267, 275, 267, 274, 267, 274, 267, 273, 267, 273, 267, 272, 543, 476, 272, 269, 1924, 594, 666, 1152, 581, 5216, 9704, 269, 1411, 723, 547, 1118, 2386, 519, 3283, 616, 9674, 676, 835, 7857, 267, 519, 1000, 657, 616, 9674, 676, 1079, 9704, 519, 555, 4181, 616, 9674, 609, 1614, 9704, 543, 519, 2185, 338, 616, 9674, 676, 2185, 9704, 563, 31979, 14862, 3953, 563, 5952, 269, 10602, 1109, 30515, 1012, 898, 2141, 13978, 3905, 692, 2005, 2141, 13978, 3905, 1256, 950, 2322, 538, 21067, 256, 1548, 568, 602, 888, 8248, 3899, 563, 5952, 269, 6858, 1109, 30515, 1012, 4347, 2056, 519, 8115, 692, 10521, 7980, 267, 5261, 543, 6599, 534, 267, 616, 8655, 547, 9856, 513, 8115, 267, 799, 13462, 519, 4639, 543, 5101, 5011, 540, 519, 4279, 8003, 269, 3962, 17199, 568, 10288, 547, 1796, 693, 606, 1439, 540, 519, 8115, 547, 1118, 2386, 1100, 20737, 3444, 269, 2201, 835, 2427, 540, 519, 8115, 6763, 5261, 267, 8384, 936, 519, 4639, 2427, 540, 519, 10806, 267, 543, 1818, 2386, 1100, 695, 8014, 3197, 2119, 547, 3444, 519, 8115, 269, 6599, 534, 6763, 593, 519, 824, 2427, 540, 519, 8115, 267, 6849, 519, 5101, 2427, 540, 519, 10806, 609, 1010, 29461, 693, 519, 4712, 538, 2013, 1022, 20737, 2119, 547, 1780, 2066, 269, 834, 12179, 20737, 2221, 8119, 5261, 12134, 269, 6599, 534, 20061, 1010, 4064, 269, 834, 1432, 798, 596, 1589, 8119, 646, 12134, 269, 834, 2791, 5066, 707, 4064, 1932, 1454, 2437, 5261, 3081, 269, 1215, 1223, 5261, 2995, 602, 6599, 534, 729, 12902, 1010, 4064, 888, 19365, 568, 593, 519, 7532, 2427, 540, 519, 8115, 267, 6849, 519, 4639, 2427, 540, 519, 10806, 267, 1247, 6599, 534, 568, 593, 519, 7178, 2427, 540, 519, 8115, 267, 6849, 519, 5101, 2427, 540, 519, 10806, 269, 1924, 5261, 543, 6599, 534, 616, 6849, 1142, 824, 267, 543, 666, 1294, 1142, 824, 781, 8188, 563, 5952, 269, 4375, 1109, 30515, 1012, 5381, 640, 1063, 513, 11480, 543, 513, 1480, 1373, 692, 1432, 568, 519, 16726, 1063, 513, 11480, 543, 513, 1480, 1373, 888, 13828, 723, 683, 4242, 563, 10019, 269, 3199, 1109, 30515, 1012, 1323, 3504, 8798, 692, 1432, 568, 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 ]

[ 1682, 454, 1892, 4197, 519, 1614, 5506, 24936, 1682, 1765, 12061, 268, 10864, 18356, 267, 3339, 1436, 267, 543, 1039, 6638, 1765, 25075, 1938, 513, 7811, 5943, 585, 5506, 9273, 269, 1452, 24936, 1682, 2327, 602, 519, 8655, 17831, 15666, 547, 9266, 543, 5812, 3741, 780, 1012, 17438, 6156, 566, 692, 1103, 519, 2295, 540, 2625, 8494, 2065, 3408, 6013, 519, 1148, 540, 5506, 19106, 269, 901, 3296, 12538, 883, 519, 1898, 2553, 543, 16097, 602, 7668, 721, 547, 22945, 10462, 543, 4351, 1145, 269, 1635, 13215, 2035, 971, 607, 10203, 3741, 267, 19585, 5506, 267, 543, 519, 11984, 1063, 4830, 543, 8200, 2621, 267, 649, 16491, 6000, 609, 519, 2645, 547, 6330, 1950, 7653, 267, 5173, 17831, 8308, 267, 543, 19586, 519, 13655, 540, 4960, 780, 1892, 25478, 14362, 454, 1892, 10395, 13541, 923, 267, 519, 1148, 540, 10203, 267, 3587, 17170, 950, 7231, 609, 5506, 269, 11762, 899, 32545, 543, 10659, 7668, 596, 547, 5173, 519, 1297, 540, 15028, 4093, 538, 1585, 7653, 267, 3976, 7175, 4977, 5506, 10526, 780, 1892, 16448, 531, 17438, 454, 1892, 16448, 531, 5506, 3800, 519, 10171, 540, 606, 2680, 9648, 2016, 602, 1776, 2680, 814, 2907, 7018, 269, 29923, 713, 1523, 2636, 596, 547, 2203, 1483, 8996, 3871, 811, 8308, 543, 4194, 1950, 5506, 2042, 5473, 2789, 4632, 780, 1892, 14412, 543, 667, 11163, 454, 1892, 4197, 519, 7115, 610, 13829, 540, 2621, 568, 2629, 585, 4977, 5506, 9273, 269, 18763, 2621, 798, 711, 3310, 1142, 824, 267, 1247, 8200, 2621, 616, 5532, 269, 18833, 875, 547, 2697, 543, 960, 609, 891, 2010, 540, 2621, 568, 1883, 780, 1012, 17438, 20518, 1903, 692, 20751, 519, 27763, 7706, 540, 5506, 6013, 519, 9159, 7706, 540, 5506, 14778, 269, 1452, 14778, 4196, 607, 519, 1883, 547, 1620, 519, 3892, 540, 17831, 2066, 1114, 4093, 538, 1585, 7653, 269, 1306, 649, 5490, 883, 519, 1158, 540, 15768, 543, 6024, 5506, 14778, 267, 649, 12260, 519, 1379, 547, 2203, 267, 5659, 267, 543, 4612, 519, 24604, 7915, 538, 513, 2647, 5044, 540, 1483, 8996, 9259, 780, 1892, 2598, 4740, 17438, 20518, 1903, 454, 1892, 2598, 4740, 5506, 14778, 616, 4909, 547, 1620, 519, 10171, 540, 1367, 4093, 538, 513, 3732, 2230, 269, 16610, 899, 5506, 2527, 3252, 630, 15014, 22661, 264, 543, 4397, 2418, 16491, 596, 609, 519, 2645, 547, 5659, 543, 4194, 2042, 5473, 18062, 20061, 267, 11777, 1166, 2354, 267, 543, 824, 15768, 7653, 780, 1892, 23120, 17438, 20518, 1903, 454, 1892, 23120, 14778, 2097, 883, 1404, 950, 7231, 609, 1483, 29705, 4240, 4093, 269, 25800, 3054, 609, 5506, 5860, 3252, 630, 14457, 338, 264, 543, 19469, 3892, 3252, 630, 290, 5263, 338, 264, 547, 18390, 1935, 2042, 5473, 7403, 899, 942, 267, 3845, 267, 610, 2597, 780, 1012, 5153, 8386, 28157, 11150, 585, 14572, 17438, 14581, 692, 21615, 1046, 532, 593, 513, 3460, 998, 5506, 6780, 3340, 811, 982, 1175, 7811, 1620, 22924, 7569, 2500, 1966, 9010, 2994, 269, 901, 3296, 5713, 607, 513, 22315, 267, 13057, 596, 998, 519, 14960, 540, 21365, 5506, 2042, 609, 6015, 543, 22717, 572, 269, 1635, 12561, 513, 7580, 1935, 267, 596, 3513, 711, 1152, 1232, 1712, 519, 679, 580, 5733, 540, 5506, 855, 849, 1020, 3407, 1966, 9010, 1983, 10858, 3564, 519, 7706, 540, 6128, 780, 272, 269, 22682, 16294, 519, 9046, 454, 273, 269, 6969, 11362, 883, 1022, 5506, 1966, 267, 621, 781, 2629, 547, 1376, 676, 5693, 10747, 519, 1966, 3294, 269, 901, 3322, 7114, 519, 2016, 1344, 267, 1620, 1018, 519, 2243, 568, 6998, 267, 543, 9301, 1022, 10148, 610, 7687, 9138, 538, 519, 1966, 3948, 269, 901, 1900, 568, 1898, 547, 2327, 602, 596, 2811, 593, 519, 1318, 3950, 543, 666, 1305, 909, 519, 1966, 7157, 269, 9453, 513, 2312, 1620, 540, 519, 1966, 267, 707, 3070, 1223, 3362, 979, 4230, 2001, 780, 274, 269, 7994, 519, 30785, 13979, 454, 275, 269, 17438, 2042, 666, 1419, 581, 12193, 1210, 2789, 2409, 267, 543, 519, 6988, 540, 519, 1966, 10274, 519, 3903, 540, 1935, 269, 13689, 593, 519, 2470, 540, 519, 1966, 267, 596, 1522, 946, 10203, 2553, 630, 3697, 32545, 543, 10659, 1070, 19585, 5506, 630, 20412, 908, 17831, 1759, 593, 1978, 2175, 1070, 610, 3892, 2861, 4485, 630, 11529, 609, 5506, 14778, 1040, 2659, 2178, 9787, 540, 519, 4909, 2035, 786, 948, 596, 1118, 606, 5483, 3375, 827, 799, 1935, 547, 946, 267, 3056, 547, 4977, 543, 3608, 1966, 9010, 780, 276, 269, 10439, 1125, 609, 30894, 454, 277, 269, 10439, 11226, 899, 966, 3317, 12222, 610, 3529, 12222, 666, 581, 30140, 5363, 538, 1620, 519, 2497, 540, 513, 5506, 1966, 269, 1452, 12222, 2709, 513, 21370, 6041, 540, 519, 3347, 1063, 1114, 2621, 610, 4093, 269, 1358, 711, 1152, 3986, 707, 8223, 540, 519, 1966, 855, 849, 1683, 513, 9836, 1259, 547, 10891, 707, 9273, 269, 10439, 1944, 519, 1966, 781, 3334, 666, 1291, 547, 811, 16022, 3435, 543, 2061, 9073, 3361, 676, 6772, 8504, 1978, 7399, 780, 278, 269, 16505, 13560, 13216, 10819, 454, 279, 269, 1879, 5185, 609, 1950, 5506, 2042, 267, 621, 781, 513, 5100, 4640, 547, 2736, 873, 1524, 883, 4130, 267, 811, 19242, 3268, 269, 570, 871, 548, 1142, 851, 540, 519, 1966, 14350, 267, 6061, 4130, 1016, 3491, 21793, 543, 1287, 9256, 519, 2164, 547, 12446, 693, 519, 3803, 3070, 269, 901, 1935, 24024, 10539, 543, 6971, 519, 10171, 540, 6959, 269, 1635, 5466, 519, 1966, 1900, 676, 1900, 267, 596, 2226, 513, 20501, 7650, 543, 2061, 4743, 16397, 676, 519, 6988, 780, 280, 269, 6657, 454, 1015, 269, 3807, 899, 1022, 5578, 267, 13215, 5506, 3340, 5812, 2259, 269, 4518, 998, 513, 3099, 540, 5506, 2042, 547, 1628, 707, 20932, 543, 24917, 707, 1966, 9010, 5759, 269, 1306, 596, 7237, 1114, 7653, 543, 2591, 267, 596, 3513, 1020, 513, 4514, 1620, 540, 519, 2035, 543, 1831, 811, 740, 30794, 693, 8939, 3617, 2994, 269, 6657, 27875, 596, 547, 1585, 2010, 540, 2042, 543, 3070, 2409, 267, 3376, 2287, 707, 1983, 564, 780, 1556, 269, 16418, 6435, 1879, 10261, 539, 454, 1321, 269, 17438, 2042, 666, 3006, 581, 7138, 1782, 267, 543, 621, 781, 9985, 15502, 547, 3343, 948, 950, 596, 2811, 12758, 269, 13693, 9499, 267, 2228, 2200, 267, 610, 707, 16929, 547, 12172, 22027, 543, 2744, 4195, 5380, 269, 12056, 609, 1866, 666, 1683, 3407, 4030, 602, 1522, 1291, 596, 547, 23484, 538, 707, 1620, 269, 5213, 1405, 19292, 547, 3914, 856, 950, 596, 7237, 2591, 602, 3100, 31837, 25236, 762, 780, 1724, 269, 5623, 543, 14484, 454, 1691, 269, 2991, 6707, 6061, 513, 5506, 1966, 267, 1491, 519, 942, 547, 2689, 707, 3070, 543, 2992, 593, 707, 1935, 269, 13760, 519, 5817, 7954, 3297, 707, 9273, 267, 543, 2697, 2127, 1141, 596, 1223, 723, 3144, 513, 811, 3608, 610, 17715, 8905, 269, 901, 14436, 1184, 2636, 596, 547, 1451, 689, 707, 2833, 267, 13217, 707, 1966, 9010, 2553, 267, 543, 11179, 2087, 707, 1983, 936, 942, 269, 3962, 21767, 8309, 547, 707, 3395, 6791, 538, 5506, 780, 1012, 10390, 692, 23536, 1464, 267, 609, 922, 6946, 1357, 540, 2035, 543, 3156, 267, 666, 7620, 2408, 11566, 269, 1717, 267, 676, 13215, 519, 4909, 3584, 540, 1305, 3069, 267, 5506, 24936, 1682, 267, 10203, 3741, 267, 19585, 5506, 267, 7115, 267, 543, 5506, 14778, 267, 596, 3513, 2744, 513, 2178, 9087, 1054, 1245, 538, 713, 7706, 269, 20331, 609, 2500, 1966, 9010, 2994, 27137, 607, 2312, 1966, 4214, 267, 3617, 1935, 5542, 267, 14839, 267, 543, 2259, 32503, 666, 18390, 6330, 998, 5506, 6780, 269, 5457, 267, 18094, 543, 513, 2620, 1620, 540, 519, 4295, 3741, 786, 1291, 596, 547, 20630, 1256, 519, 1034, 4101, 5506, 13410, 269, 0, 1103, 5758, 267, 713, 10137, 21410, 2627, 2127, 1210, 519, 1739, 4640, 1384, 1280, 1142, 1591, 538, 519, 7470, 267, 2627, 2127, 616, 1759, 593, 6906, 2127, 6508, 689, 5216, 12730, 269, 3962, 6906, 13462, 519, 4099, 1448, 540, 519, 3844, 1591, 609, 519, 4099, 2798, 540, 1079, 11105, 2281, 269, 1109, 1452, 12730, 616, 4092, 538, 1614, 8820, 2230, 267, 865, 602, 519, 1858, 540, 519, 6906, 4564, 519, 3020, 2627, 1858, 540, 519, 2230, 22112, 676, 519, 1614, 2798, 269, 634, 6906, 1858, 568, 14661, 865, 602, 621, 1152, 4564, 519, 6712, 540, 519, 6906, 602, 6772, 904, 519, 3844, 1591, 269, 634, 2127, 540, 519, 5216, 12730, 616, 2040, 4364, 547, 3132, 519, 2698, 2627, 1858, 540, 602, 1591, 269, 634, 2627, 5223, 540, 519, 1591, 568, 7229, 676, 12270, 519, 2627, 1858, 540, 519, 1591, 609, 519, 1544, 574, 13011, 1858, 540, 519, 1591, 780, 2690, 2859, 5489, 841, 281, 1109, 901, 10137, 24283, 2627, 2127, 585, 513, 1591, 676, 1210, 1344, 689, 519, 5216, 2281, 11105, 547, 519, 4099, 1591, 269, 1109, 1280, 1383, 267, 2016, 513, 3732, 15038, 7470, 1384, 10472, 10137, 1131, 5173, 519, 2627, 1858, 585, 519, 1591, 609, 15038, 1871, 834, 8146, 257, 1759, 593, 519, 15038, 2418, 540, 519, 5216, 2281, 4478, 621, 10484, 663, 519, 2627, 1858, 585, 519, 834, 13679, 257, 1591, 1759, 593, 519, 5216, 15038, 1871, 4478, 621, 1384, 763, 1739, 1383, 540, 513, 17183, 9351, 9819, 786, 581, 1759, 593, 519, 14745, 1657, 267, 1141, 649, 786, 5173, 519, 2627, 1858, 585, 513, 1591, 609, 606, 15038, 1871, 540, 476, 13679, 267, 11303, 676, 2281, 693, 476, 5002, 267, 476, 10204, 267, 476, 14028, 267, 476, 8146, 267, 476, 13970, 267, 476, 11260, 267, 476, 8182, 543, 476, 14338, 269, 1109, 901, 7470, 540, 15038, 2418, 666, 581, 3182, 3293, 769, 476, 274, 8820, 2230, 607, 513, 1305, 540, 11105, 9587, 267, 1142, 8375, 607, 1164, 607, 621, 781, 9138, 15038, 1871, 780, 2171, 1491, 519, 476, 274, 8820, 4099, 9557, 540, 1142, 540, 891, 476, 280, 2281, 267, 543, 5173, 519, 13080, 540, 519, 476, 279, 3515, 602, 1921, 519, 3844, 1591, 781, 4099, 4812, 609, 519, 4099, 2798, 540, 519, 476, 279, 4478, 2281, 269, 1109, 1284, 1287, 5173, 519, 13080, 540, 519, 3515, 602, 1921, 1142, 540, 519, 476, 279, 4478, 2281, 609, 519, 835, 1318, 1985, 547, 621, 267, 865, 602, 649, 1439, 909, 609, 519, 13080, 540, 519, 5011, 540, 519, 476, 279, 12730, 602, 782, 2743, 693, 519, 4099, 1448, 540, 519, 3844, 1591, 269, 1109, 4635, 891, 13080, 267, 649, 666, 5173, 519, 2127, 540, 1142, 540, 519, 12730, 780, 4322, 13080, 616, 2241, 547, 5173, 1210, 519, 25355, 14497, 267, 799, 2829, 602, 267, 538, 513, 1318, 6906, 267, 519, 4009, 540, 519, 3259, 540, 519, 30494, 568, 3160, 547, 519, 2040, 540, 519, 10945, 540, 519, 824, 1079, 5011, 269, 1109, 4935, 267, 585, 1022, 1079, 2798, 589, 543, 645, 1384, 257, 321, 257, 568, 2653, 547, 5173, 267, 2094, 621, 568, 3274, 519, 3017, 1063, 519, 1079, 1591, 2418, 269, 1109, 834, 320, 257, 568, 2653, 547, 1205, 585, 519, 2281, 2047, 547, 519, 3345, 267, 5101, 267, 3162, 543, 4639, 267, 2094, 621, 568, 3274, 519, 1871, 540, 519, 8426, 2450, 269, 1109, 1280, 519, 32377, 267, 649, 946, 519, 25355, 11532, 1586, 543, 5173, 602, 834, 320, 257, 568, 3160, 547, 519, 4009, 3597, 540, 630, 273, 264, 1535, 630, 320, 1606, 32464, 6393, 4913, 267, 2094, 649, 2811, 1152, 7255, 609, 519, 2627, 1858, 1369, 1142, 1591, 267, 649, 2759, 782, 519, 6906, 13080, 538, 3368, 269, 1109, 3767, 950, 649, 5173, 519, 1858, 540, 513, 6906, 1759, 593, 519, 13080, 540, 1614, 5011, 267, 519, 1614, 5011, 786, 2099, 519, 6712, 540, 519, 6906, 602, 6013, 1369, 519, 1591, 6302, 780, 20007, 673, 8074, 281, 1109, 634, 1657, 6609, 1152, 6257, 519, 7954, 1031, 547, 17589, 519, 2627, 1858, 269, 1109, 634, 10137, 568, 711, 2965, 8220, 1022, 3515, 610, 1210, 1022, 6152, 1239, 693, 782, 269, 1109, 13298, 267, 519, 10137, 5932, 476, 1626, 1007, 21870, 267, 1141, 519, 1591, 2418, 2099, 519, 13080, 540, 835, 540, 519, 476, 1626, 6906, 8728, 3182, 3293, 1657, 269, 1109, 4635, 476, 274, 540, 891, 476, 1626, 834, 31590, 4120, 22750, 20099, 257, 21870, 693, 513, 942, 267, 621, 1287, 21410, 476, 279, 1007, 21870, 8204, 519, 1858, 540, 519, 6906, 602, 1131, 581, 22112, 1346, 1614, 6316, 13080, 269, 1109, 7053, 267, 519, 10137, 8591, 909, 1346, 476, 279, 834, 31590, 4120, 9351, 257, 21870, 547, 3132, 519, 3803, 17183, 9351, 25373, 780, 15612, 908, 519, 9351, 540, 513, 21121, 689, 519, 700 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14196, 676, 9256, 519, 8711, 540, 1312, 269, 22073, 609, 513, 27646, 3613, 641, 5180, 540, 519, 13642, 21121, 543, 14076, 553, 22474, 779, 20375, 1107, 1519, 519, 29069, 10067, 531, 267, 16156, 779, 20299, 16549, 329, 573, 543, 968, 303, 1074, 4975, 892, 540, 26566, 760, 584, 1107, 621, 3096, 29180, 779, 16600, 18026, 8184, 4296, 607, 513, 19480, 6149, 547, 519, 2484, 7013, 1533, 540, 29242, 267, 4171, 18932, 267, 9341, 1394, 31662, 543, 7401, 24914, 1683, 519, 3501, 4831, 4812, 547, 519, 28753, 531, 6264, 16725, 543, 9390, 642, 626, 553, 540, 519, 3105, 3018, 269, 1306, 2479, 609, 938, 6828, 570, 2293, 267, 22098, 568, 29413, 543, 14436, 540, 519, 3099, 540, 1114, 8916, 543, 4529, 596, 3580, 1995, 593, 713, 7552, 540, 513, 10715, 998, 3127, 779, 1283, 24738, 563, 24292, 32733, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7775, 1170, 534, 13527, 15339, 257, 607, 851, 540, 834, 11286, 1315, 7489, 1315, 4095, 1299, 3162, 7489, 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, 5149, 476, 280, 281, 6754, 781, 29833, 1014, 4856, 22046, 775, 1107, 589, 5530, 540, 476, 272, 543, 476, 273, 29833, 2103, 692, 7072, 454, 1366, 692, 763, 5022, 547, 519, 29833, 2103, 2709, 721, 2189, 4030, 883, 519, 1272, 543, 10752, 540, 519, 19980, 548, 6754, 267, 607, 1134, 607, 519, 2038, 4168, 5939, 269, 1452, 19815, 956, 941, 2854, 547, 2232, 1585, 2152, 602, 1185, 818, 17470, 1369, 519, 30798, 693, 29833, 267, 3246, 721, 609, 3407, 4245, 827, 5132, 267, 2648, 267, 9322, 267, 543, 5289, 15657, 269, 901, 1770, 786, 5490, 7184, 883, 519, 3140, 2796, 267, 2101, 4798, 267, 543, 4207, 10083, 540, 476, 272, 543, 476, 273, 29833, 2103, 780, 23208, 12745, 454, 2411, 7042, 17357, 12764, 729, 513, 14762, 5010, 4099, 4092, 538, 2413, 6377, 10255, 269, 4706, 7580, 4087, 2059, 4123, 11507, 1500, 621, 513, 13621, 1494, 540, 3309, 4529, 267, 10764, 267, 543, 2093, 269, 769, 5084, 476, 2004, 268, 7367, 267, 6754, 3964, 513, 5939, 972, 1282, 1010, 2034, 29966, 3460, 630, 8002, 338, 476, 1240, 281, 272, 268, 1704, 1070, 799, 5185, 3875, 2591, 1813, 547, 922, 2686, 4763, 543, 5837, 561, 1314, 640, 269, 1306, 513, 1267, 267, 6754, 5206, 2185, 5022, 547, 519, 29833, 2103, 281, 1079, 31607, 630, 272, 543, 476, 273, 29833, 2103, 264, 543, 1079, 4503, 630, 1492, 865, 10777, 834, 572, 3164, 4484, 257, 5018, 538, 476, 273, 29833, 2103, 476, 273, 281, 275, 543, 1776, 2009, 4484, 5219, 547, 538, 476, 272, 29833, 2103, 476, 276, 281, 280, 6393, 28899, 21771, 538, 476, 272, 29833, 2103, 454, 10900, 19030, 2162, 30767, 538, 519, 10610, 540, 2441, 630, 272, 29833, 2103, 476, 272, 268, 275, 282, 476, 1321, 2020, 19667, 2888, 1851, 21071, 12219, 519, 1072, 540, 519, 29833, 1014, 5939, 269, 1677, 8396, 713, 3390, 267, 6754, 15091, 519, 2956, 540, 9322, 538, 519, 1560, 540, 2441, 269, 1261, 18056, 873, 602, 789, 782, 20705, 547, 519, 1482, 7083, 267, 7488, 540, 741, 1514, 4567, 610, 4282, 630, 272, 29833, 2103, 476, 1321, 281, 1321, 268, 2767, 1040, 1635, 10223, 519, 25872, 540, 519, 2818, 540, 519, 5939, 267, 6754, 24016, 873, 547, 960, 1927, 543, 9784, 741, 3604, 2864, 982, 3850, 891, 21441, 547, 6536, 771, 29774, 780, 2162, 20351, 15979, 543, 26874, 8830, 640, 630, 272, 29833, 2103, 476, 276, 268, 278, 2020, 1103, 5466, 4638, 1799, 528, 1275, 1369, 519, 29833, 1014, 5939, 267, 6754, 1572, 585, 7453, 9015, 1996, 1346, 945, 7722, 538, 971, 2623, 630, 272, 29833, 2103, 476, 276, 281, 272, 268, 1724, 1040, 2311, 519, 1482, 942, 267, 646, 17019, 519, 7965, 5185, 676, 9310, 15185, 2713, 538, 513, 16770, 7989, 1170, 633, 2486, 899, 29833, 630, 272, 29833, 2103, 476, 278, 281, 272, 268, 2412, 1040, 10801, 891, 11271, 267, 6754, 9738, 602, 10271, 1590, 15666, 547, 13400, 4441, 540, 13919, 1247, 849, 11744, 11419, 2509, 1866, 10010, 609, 5609, 995, 13821, 780, 2162, 654, 11208, 543, 11352, 569, 18430, 630, 272, 29833, 2103, 476, 1556, 268, 1691, 2020, 11514, 4650, 17349, 1282, 10847, 2533, 12735, 4240, 519, 29833, 1014, 5939, 267, 20872, 6754, 547, 1683, 4808, 585, 1697, 2932, 1282, 19771, 269, 1261, 9619, 3584, 971, 607, 2212, 3382, 902, 585, 2021, 630, 272, 29833, 2103, 476, 1556, 281, 273, 268, 1626, 1070, 11287, 519, 7083, 781, 2672, 3899, 630, 272, 29833, 2103, 476, 1556, 281, 1704, 268, 4097, 1070, 6340, 538, 10209, 1132, 630, 272, 29833, 2103, 476, 1321, 281, 1789, 268, 1691, 281, 2412, 1070, 543, 28897, 630, 272, 29833, 2103, 476, 1691, 281, 272, 268, 3451, 1040, 3414, 891, 5528, 267, 6754, 6322, 547, 11177, 1931, 543, 27527, 538, 9746, 10847, 780, 28899, 21771, 538, 476, 273, 29833, 2103, 454, 10900, 19030, 2162, 2637, 9334, 24347, 4301, 16958, 630, 273, 29833, 2103, 476, 1015, 268, 1724, 2020, 16178, 3610, 1185, 13934, 6754, 781, 6392, 607, 606, 19980, 548, 267, 4929, 4744, 3290, 1851, 519, 29833, 2103, 269, 769, 3210, 267, 6754, 29846, 1010, 18591, 676, 7682, 532, 1010, 10143, 10243, 630, 273, 29833, 2103, 476, 1015, 281, 272, 268, 1240, 1070, 11589, 6161, 585, 519, 10304, 540, 519, 5939, 630, 273, 29833, 2103, 476, 1556, 281, 272, 268, 1428, 1070, 22281, 532, 1010, 7985, 902, 585, 519, 22258, 630, 273, 29833, 2103, 476, 1556, 281, 2641, 321, 268, 3451, 1070, 543, 9963, 1996, 16561, 7301, 3450, 630, 273, 29833, 2103, 476, 1724, 281, 272, 268, 1015, 6393, 2162, 11038, 8081, 585, 3687, 8651, 630, 273, 29833, 2103, 476, 279, 268, 280, 2020, 2026, 851, 540, 1010, 9029, 585, 2883, 1489, 267, 6754, 12006, 519, 28908, 540, 519, 24765, 20897, 13039, 630, 273, 29833, 2103, 476, 279, 281, 272, 268, 278, 264, 543, 9415, 519, 29833, 2103, 547, 1246, 9290, 630, 273, 29833, 2103, 476, 279, 281, 279, 268, 1428, 1040, 5015, 267, 646, 16219, 602, 2696, 1131, 12196, 741, 4758, 267, 4180, 11606, 1312, 1570, 569, 543, 32375, 630, 273, 29833, 2103, 476, 280, 281, 277, 268, 1428, 6393, 28757, 25684, 454, 2411, 19030, 6624, 540, 519, 2152, 6849, 519, 29833, 1014, 5939, 2611, 4143, 2221, 269, 1280, 1383, 267, 2055, 4478, 4008, 5107, 538, 10847, 3136, 547, 581, 23503, 1369, 930, 29559, 269, 3958, 267, 5717, 3823, 2883, 19642, 543, 12477, 13469, 9244, 609, 2413, 10271, 5275, 5583, 593, 5885, 26110, 543, 13485, 3906, 269, 7053, 267, 3695, 875, 6754, 4044, 919, 7526, 1063, 1249, 687, 1369, 519, 29833, 1014, 5939, 2488, 5363, 5813, 585, 2250, 832, 2324, 4724, 21047, 9624, 11705, 337, 1400, 13882, 610, 2123, 22195, 780, 6962, 454, 29603, 3528, 2502, 5702, 609, 6754, 781, 19359, 547, 519, 29833, 2103, 267, 1053, 2744, 2565, 1702, 827, 1883, 3344, 540, 2038, 8567, 267, 1519, 3235, 3380, 5735, 267, 7881, 267, 543, 10847, 2853, 269, 5047, 267, 998, 8086, 2390, 519, 19320, 1063, 3504, 543, 4207, 4145, 267, 6267, 666, 1732, 1174, 875, 23075, 5170, 547, 1217, 938, 2729, 607, 13794, 540, 4906, 2441, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12812, 5750, 547, 23822, 454, 2419, 11301, 689, 808, 27255, 781, 11752, 540, 519, 24857, 910, 1031, 676, 10479, 454, 5194, 15873, 910, 4210, 785, 3326, 910, 5750, 593, 1318, 2427, 454, 288, 13336, 674, 2683, 5783, 454, 5978, 1323, 2002, 532, 910, 634, 10513, 13336, 454, 303, 2001, 532, 538, 519, 13336, 454, 306, 2869, 527, 6363, 2683, 5617, 773, 951, 3657, 6145, 3203, 14198, 28243, 454, 19064, 4954, 781, 3689, 17030, 776, 17714, 910, 4786, 1475, 8002, 338, 476, 1724, 281, 275, 268, 1691, 281, 2764, 266, 2008, 19064, 4954, 781, 5822, 17030, 776, 17714, 910, 4786, 1475, 8002, 338, 476, 1428, 281, 3607, 268, 1240, 281, 2420, 266, 2008, 19064, 4954, 781, 12059, 17030, 776, 17714, 910, 4786, 1475, 8002, 338, 476, 1240, 281, 2537, 268, 2641, 281, 2918, 266, 2008, 300, 2355, 1644, 547, 20450, 454, 268, 634, 8003, 540, 4173, 617, 3397, 23774, 320, 594, 454, 268, 634, 8003, 540, 3397, 23774, 320, 4083, 454, 268, 19999, 1815, 739, 543, 519, 6014, 4144, 23159, 454, 268, 28841, 540, 519, 7216, 5783, 538, 21157, 454, 268, 6754, 779, 23586, 543, 7216, 12080, 454, 268, 6754, 779, 4260, 7958, 454, 268, 634, 3689, 17030, 776, 17714, 540, 6754, 454, 268, 634, 5822, 17030, 776, 17714, 540, 6754, 454, 268, 634, 12059, 17030, 776, 17714, 540, 6754, 454, 268, 6754, 779, 1488, 6135, 543, 1955, 1440, 2581, 618, 454, 268, 6754, 779, 30576, 720, 547, 7507, 454, 15008, 910, 634, 1739, 1592, 2882, 711, 1152, 6085, 2456, 855, 824, 4168, 1568, 676, 1134, 1634, 27685, 673, 5830, 269, 4107, 540, 519, 2200, 2630, 616, 18960, 1568, 630, 16261, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 19978, 19410, 776, 1315, 1715, 11620, 1315, 6754, 781, 16707, 1315, 29833, 1014, 4856, 22046, 775, 630, 272, 268, 273, 29833, 2103, 1040, 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, 3408, 540, 9751, 543, 4886, 256, 901, 1523, 568, 606, 1898, 851, 540, 875, 1004, 1451, 1007, 1983, 543, 5759, 693, 960, 267, 1153, 267, 543, 3564, 269, 6056, 827, 707, 5172, 15908, 610, 2534, 1107, 1705, 2576, 4001, 596, 875, 547, 798, 602, 286, 9320, 513, 3659, 4951, 596, 875, 547, 1404, 14912, 267, 610, 707, 3237, 6026, 596, 875, 547, 3434, 707, 1101, 7594, 269, 2353, 891, 2833, 4125, 2866, 543, 1646, 2439, 1103, 713, 3184, 267, 649, 3580, 4685, 883, 1018, 2866, 543, 1646, 1611, 950, 621, 2501, 547, 6530, 543, 519, 9036, 269, 1284, 2461, 2469, 547, 1413, 693, 1946, 3906, 1902, 942, 543, 2200, 883, 4543, 5520, 1332, 543, 2087, 269, 1635, 1620, 713, 1184, 1732, 267, 6148, 596, 666, 948, 1374, 930, 3579, 2866, 3292, 3054, 14693, 2439, 5331, 2324, 693, 513, 3381, 3014, 2754, 8888, 6216, 1007, 3756, 269, 2334, 4992, 7168, 15813, 267, 1318, 286, 1809, 1256, 952, 596, 2648, 4730, 3381, 3756, 267, 972, 779, 1869, 865, 1454, 811, 547, 917, 1354, 2870, 873, 269, 1411, 991, 547, 1174, 5752, 4654, 267, 8642, 1374, 3741, 267, 9423, 2553, 267, 543, 3593, 1995, 2994, 269, 1677, 1831, 606, 4274, 3014, 14704, 267, 596, 1131, 723, 547, 979, 998, 1585, 5933, 540, 1565, 543, 8026, 1346, 1983, 780, 3086, 1577, 779, 1294, 875, 713, 12211, 547, 2866, 543, 1646, 269, 14992, 899, 519, 3381, 3014, 18638, 1616, 547, 2327, 602, 3025, 814, 1569, 547, 1565, 3255, 269, 1358, 1522, 2709, 11925, 593, 8193, 267, 5049, 827, 3308, 1148, 267, 610, 16823, 10529, 4687, 4030, 593, 1434, 9423, 269, 1452, 2238, 2832, 547, 1020, 1142, 9441, 779, 1761, 1247, 849, 30364, 519, 3919, 269, 1879, 2319, 2818, 1205, 1732, 693, 741, 6009, 267, 519, 2898, 1870, 29263, 2439, 2467, 616, 1896, 3268, 3238, 538, 3384, 2500, 2866, 3292, 269, 3689, 267, 3549, 2708, 741, 2115, 1765, 6343, 1983, 798, 741, 6887, 3668, 267, 543, 1141, 1223, 9283, 1291, 547, 3152, 1967, 286, 4495, 789, 2697, 2127, 8506, 2208, 267, 30157, 1711, 1808, 3853, 543, 6859, 1759, 593, 1346, 2115, 269, 1280, 1383, 267, 952, 1082, 9858, 6560, 609, 1377, 5137, 267, 513, 13186, 5059, 9003, 593, 1377, 1374, 1522, 581, 9709, 780, 9202, 2097, 14292, 1374, 543, 6765 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7689, 476, 276, 281, 9253, 28853, 543, 4675, 6123, 910, 21690, 14134, 338, 609, 14568, 2657, 2439, 5970, 596, 2479, 1185, 8373, 9991, 18069, 286, 2107, 6148, 596, 4312, 530, 7505, 909, 4743, 13110, 1256, 1310, 513, 2407, 3781, 781, 1964, 286, 1411, 2811, 711, 4805, 256, 3509, 1004, 6560, 609, 3207, 2152, 267, 855, 972, 1522, 581, 513, 2241, 3070, 1107, 5283, 28853, 543, 824, 9360, 2966, 547, 3895, 2635, 3207, 269, 2913, 781, 2263, 1018, 891, 9360, 616, 267, 875, 789, 960, 267, 543, 1946, 789, 1223, 581, 5363, 585, 596, 2439, 1432, 568, 9253, 28853, 888, 2411, 13430, 5331, 1373, 538, 513, 4158, 4055, 282, 621, 781, 2653, 547, 1745, 546, 992, 1910, 543, 4712, 585, 5127, 267, 1318, 286, 2334, 781, 1317, 707, 1560, 7472, 513, 9449, 1572, 5283, 28853, 950, 621, 781, 4158, 3544, 269, 901, 9449, 15920, 6786, 547, 707, 2634, 602, 621, 781, 942, 547, 2842, 1524, 543, 1205, 930, 9505, 31378, 269, 1717, 267, 3006, 938, 11112, 2729, 267, 13819, 267, 543, 5841, 8279, 666, 15936, 609, 5283, 28853, 2504, 267, 1818, 621, 9875, 547, 2887, 18069, 269, 2334, 781, 1141, 5283, 28853, 9360, 2097, 538, 13561, 256, 1358, 2285, 707, 1560, 606, 3063, 5818, 540, 713, 3207, 344, 9449, 547, 948, 10038, 707, 4835, 9219, 267, 849, 1634, 607, 707, 27266, 11733, 780, 3963, 6875, 4675, 6123, 888, 2411, 19030, 11045, 6123, 899, 5283, 28853, 666, 948, 2232, 1808, 1072, 4145, 267, 971, 607, 3207, 2042, 269, 1809, 3314, 267, 789, 5749, 1405, 5921, 547, 5372, 513, 7059, 2732, 543, 2834, 3635, 269, 5502, 267, 1589, 540, 873, 607, 3606, 2645, 547, 1489, 707, 2949, 8171, 780, 5278, 4128, 1004, 946, 9360, 1331, 1384, 272, 269, 2878, 289, 21392, 12619, 5093, 1306, 5018, 4505, 267, 5283, 28853, 2337, 10038, 707, 3207, 3270, 267, 865, 2921, 513, 7110, 666, 1118, 621, 4443, 547, 6952, 1346, 2098, 3960, 781, 563, 273, 269, 2878, 18404, 29440, 8081, 5093, 2368, 9360, 2270, 8324, 543, 6886, 602, 5351, 538, 4509, 513, 2635, 10307, 267, 3850, 707, 1560, 547, 2736, 1524, 1426, 7561, 1282, 519, 1554, 269, 1323, 1383, 540, 971, 513, 7110, 568, 717, 1663, 935, 924, 267, 799, 649, 786, 1865, 2663, 538, 713, 3992, 563, 274, 269, 2878, 14197, 25682, 5093, 15316, 9360, 2709, 1114, 1072, 2640, 267, 8151, 689, 5885, 4761, 1599, 547, 5009, 2295, 1072, 269, 1635, 2324, 7258, 513, 7059, 6197, 267, 789, 666, 3565, 547, 707, 2949, 2631, 540, 1134, 5630, 780, 4504, 18166, 717, 1663, 935, 924, 454, 2411, 21387, 3086, 1577, 781, 2911, 827, 717, 1663, 935, 924, 267, 513, 7110, 4481, 2966, 585, 2043, 609, 3987, 543, 840, 26817, 3449, 269, 2755, 5283, 28853, 4249, 513, 1713, 1909, 538, 922, 4542, 267, 1896, 824, 5567, 6443, 4229, 547, 1683, 12242, 2640, 1107, 4824, 1973, 4006, 1852, 543, 2799, 1648, 2157, 1282, 519, 1554, 780, 294, 1663, 935, 924, 3568, 1898, 11254, 7408, 267, 8324, 267, 543, 2030, 21555, 602, 960, 1927, 547, 948, 3666, 1973, 4006, 2157, 16074, 1247, 3246, 9543, 3170, 1532, 9506, 2360, 2390, 24971, 909, 269, 898, 781, 1271, 547, 4063, 602, 717, 1663, 935, 924, 3884, 1405, 513, 9059, 10788, 585, 2597, 2530, 282, 3079, 267, 621, 7028, 707, 1560, 781, 2067, 3157, 547, 3035, 6099, 2164, 950, 19610, 609, 513, 2635, 6197, 780, 1103, 10390, 454, 1366, 19030, 2026, 596, 7832, 593, 707, 3460, 2509, 1732, 1072, 543, 2298, 3207, 267, 2015, 6220, 5283, 28853, 610, 824, 6098, 9360, 883, 707, 6296, 269, 5457, 267, 1498, 267, 602, 1100, 2582, 7110, 666, 5372, 513, 7059, 2732, 267, 5812, 2168, 2534, 267, 543, 1434, 3207, 9882, 2853, 269, 11408, 5077, 609, 513, 11967, 2937, 610, 3782, 3318, 1354, 4358, 1022, 1007, 7110, 20786, 780, 4415, 519, 1697, 5583, 543, 2200, 267, 596, 1631, 723, 519, 1379, 547, 2087, 707, 3207, 267, 3986, 707, 10307, 267, 543, 9784, 513, 18668, 267, 8902, 4528, 540, 3054, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2419, 8522, 267, 14889, 267, 717, 1663, 935, 924, 7110, 568, 513, 9422, 7110, 602, 6811, 547, 1489, 2635, 1973, 4006, 1247, 596, 3207, 563, 9617, 1491, 835, 1085, 17274, 540, 717, 1663, 935, 924, 1354, 596, 979, 547, 5127, 267, 543, 519, 4542, 1568, 16074, 547, 1489, 1973, 4006, 1247, 4758, 596, 513, 811, 1964, 995, 3207, 563, 763, 7110, 568, 30630, 5097, 4724, 31911, 543, 840, 26817, 28017, 563, 2710, 596, 1616, 513, 7110, 602, 3091, 2789, 2640, 693, 519, 1482, 942, 888, 2690, 6634, 540, 7110, 3755, 1472, 519, 1158, 267, 519, 2626, 568, 606, 13778, 9811, 563, 291, 783, 2640, 616, 513, 7372, 1630, 517, 547, 12596, 3168, 547, 3715, 2933, 538, 519, 5051, 8013, 2344, 540, 8192, 9360, 543, 4244, 1072, 12596, 563, 4002, 713, 4395, 267, 717, 1663, 935, 924, 7110, 11613, 25389, 563, 763, 5820, 1031, 538, 713, 2189, 4542, 616, 16887, 5916, 547, 948, 1711, 513, 968, 12741, 995, 5787, 1807, 1198, 2223, 799, 666, 1489, 1732, 1973, 4006, 543, 948, 1683, 3170, 1532, 9506, 2640, 2429, 519, 1554, 563, 25911, 766, 267, 26016, 1436, 267, 10894, 1489, 267, 543, 2067, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27839, 28853, 543, 4675, 6123, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 12619, 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, 4911, 25086, 281, 589, 14265, 1017, 26616, 15484, 538, 7101, 5735, 692, 1103, 519, 2361, 540, 2234, 5735, 267, 2587, 25086, 4249, 513, 11358, 1909, 538, 23235, 543, 8156, 1585, 2564, 2175, 269, 13018, 267, 2587, 25086, 4016, 547, 519, 946, 540, 2473, 11920, 4334, 2923, 547, 14650, 1973, 8043, 543, 2708, 741, 2783, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 2565, 1523, 540, 2587, 328, 4919, 5773, 267, 2519, 593, 519, 2010, 540, 4334, 2923, 8246, 267, 3226, 1346, 6964, 538, 25080, 1763, 28585, 24919, 630, 28122, 1040, 5047, 267, 649, 786, 4983, 519, 5767, 7835, 543, 3106, 4145, 2404, 609, 891, 8069, 267, 10771, 2487, 4681, 3823, 15046, 22223, 1756, 2861, 4334, 8069, 780, 2414, 2253, 267, 1577, 721, 3715, 513, 4909, 1620, 540, 2587, 25086, 543, 922, 3156, 269, 1306, 5018, 4505, 267, 2587, 25086, 3322, 519, 13297, 540, 4334, 2923, 883, 513, 3461, 781, 15466, 1062, 547, 5352, 2143, 2592, 540, 519, 1973, 8043, 1210, 14806, 22000, 267, 11632, 18767, 267, 610, 19182, 3674, 269, 1452, 2592, 5351, 3782, 4648, 538, 7114, 1761, 2152, 971, 607, 3625, 1137, 267, 32560, 267, 4439, 3101, 267, 610, 6553, 1369, 519, 21729, 1529, 1155, 269, 9182, 267, 2587, 25086, 5713, 607, 606, 1898, 1907, 538, 954, 14846, 2234, 5735, 267, 1141, 30194, 12362, 5574, 899, 588, 550, 1747, 906, 543, 2377, 565, 3074, 666, 581, 5340, 1759, 593, 519, 1344, 10356, 1282, 519, 10368, 5650, 780, 23338, 547, 519, 2259, 540, 2587, 25086, 616, 519, 4334, 2923, 2933, 269, 1452, 6878, 3986, 519, 15287, 540, 1973, 8043, 676, 19249, 519, 2473, 11920, 10338, 267, 28498, 20501, 15285, 1063, 519, 6077, 561, 18210, 543, 4478, 3889, 269, 27603, 267, 19381, 3990, 4334, 2923, 723, 1044, 4922, 7550, 1813, 547, 741, 15028, 14278, 758, 27282, 543, 1970, 1942, 269, 594, 617, 3990, 7135, 8858, 1164, 2234, 1675, 3748, 267, 1818, 873, 3810, 20559, 1043, 896, 2473, 11920, 6514, 269, 11048, 267, 789, 10460, 1978, 4220, 267, 5097, 13027, 6547, 543, 1761, 8459, 5945, 267, 2523, 538, 11630, 2043, 780, 763, 11944, 540, 1875, 23760, 545, 19381, 3990, 4334, 2923, 814, 7339, 730, 930, 540, 891, 10898, 1247, 4509, 10368, 12117, 269, 634, 7636, 2497, 540, 1875, 23760, 545, 8069, 16621, 7864, 9357, 14184, 2516, 3379, 547, 4587, 25617, 30422, 269, 9182, 267, 891, 2413, 4334, 2326, 29360, 4389, 23015, 5328, 2360, 2390, 703, 9545, 553, 566, 267, 7551, 32033, 8801, 6547, 543, 5355, 2949, 7109, 1464, 269, 6736, 7760, 538, 19381, 3990, 4334, 2923, 2029, 267, 3173, 3136, 3695, 4244, 3681, 547, 2417, 7413, 8374, 543, 4228, 9354, 7399, 780, 3080, 971, 9621, 28627, 6013, 538, 519, 1646, 540, 15046, 22223, 1756, 2861, 4334, 8069, 630, 294, 6195, 2026, 1070, 30109, 4294, 538, 18909, 5468, 269, 9521, 19381, 3990, 4334, 2923, 267, 717, 6195, 2026, 798, 711, 7048, 593, 9357, 1944, 5982, 282, 3079, 267, 789, 31194, 593, 519, 4164, 8568, 3601, 540, 15046, 22223, 1756, 12274, 547, 3132, 5365, 19349, 1369, 6098, 5160, 4525, 269, 1879, 5189, 883, 519, 1560, 267, 717, 6195, 2026, 2110, 523, 570, 272, 11005, 2053, 267, 3056, 547, 17321, 2592, 1282, 18909, 18362, 269, 25214, 267, 717, 6195, 2026, 723, 21959, 1229, 9645, 3007, 585, 741, 10626, 538, 16326, 17244, 538, 2571, 8031, 267, 1519, 519, 3844, 8401, 1062, 267, 6797, 267, 543, 30273, 1949, 780, 4913, 267, 2487, 1296, 723, 14754, 3395, 31536, 542, 7282, 519, 1279, 3856, 12802, 540, 15046, 22223, 1756, 12074, 538, 1585, 8219, 1739, 7368, 4218, 5928, 540, 717, 6195, 2026, 269, 11153, 2090, 3370, 1063, 476, 1001, 275, 543, 476, 1001, 277, 4080, 15398, 9830, 540, 15046, 22223, 1756, 538, 6147, 321, 4592, 335, 1400, 5714, 543, 2620, 22140, 540, 519, 1480, 2634, 1256, 1310, 2789, 13066, 269, 6270, 4681, 5337, 1243, 3106, 4145, 1851, 2564, 4648, 543, 9431, 8041, 5001, 267, 20872, 13753, 883, 519, 6286, 540, 891, 17477, 15046, 22223, 1756, 12074, 780, 8253, 2406, 267, 1382, 6920, 602, 2550, 3413, 21719, 676, 4049, 17669, 15717, 2408, 811, 7925, 547, 3384, 26669, 4088, 545, 11528, 27470, 630, 10064, 293, 264, 1739, 4598, 547, 717, 6195, 2026, 269, 22085, 293, 28107, 607, 5394, 2287, 543, 2182, 2287, 540, 519, 2960, 267, 4745, 20765, 267, 543, 1418, 14524, 267, 15866, 7133, 1346, 609, 19847, 8459, 1599, 269, 4014, 4686, 267, 22085, 293, 13514, 1713, 24896, 543, 9019, 4220, 952, 2451, 31250, 269, 1677, 2232, 713, 3390, 267, 9755, 15428, 21458, 4808, 267, 2857, 2056, 1996, 28720, 1808, 717, 6195, 2026, 547, 2550, 609, 6059, 1350, 9593, 983, 19288, 3928, 2630, 476, 1789, 20853, 26553, 270, 272, 269, 10463, 332, 11054, 269, 5015, 267, 13657, 776, 3800, 12167, 585, 4140, 5534, 13345, 540, 717, 6195, 2026, 1152, 950, 11613, 2556, 267, 2059, 609, 22608, 5464, 540, 17669, 1599, 6724, 840, 7146, 2022, 9762, 2858, 7245, 780, 8601, 20387, 2963, 16046, 15046, 22223, 1756, 18254, 547, 22085, 293, 267, 2487, 1239, 5267, 602, 1034, 2043, 8391, 717, 6195, 288, 24409, 798, 711, 7237, 3507, 762, 14715, 3524, 601, 2801, 269, 4340, 547, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 1070, 2139, 3332, 1281, 711, 1489, 1757, 894, 12205, 1063, 19469, 15046, 22223, 1756, 23927, 543, 31916, 5778, 1729, 13877, 640, 538, 2550, 609, 3339, 17669, 1599, 269, 16480, 267, 519, 15111, 9783, 513, 3075, 3106, 2792, 538, 2904, 476, 1001, 279, 1443, 2358, 3782, 7426, 547, 3970, 717, 6195, 288, 6165, 8164, 2009, 543, 2308, 12550, 7094, 545, 8069, 4776, 5166, 6053, 1813, 547, 741, 2539, 4412, 3748, 585, 4744, 27937, 543, 7766, 5305, 540, 1863, 15046, 22223, 1756, 12274, 780, 1103, 3932, 267, 2587, 25086, 4564, 513, 4105, 5057, 540, 4207, 2234, 8344, 26129, 543, 519, 31706, 267, 21214, 3309, 23857, 543, 4334, 2923, 3358, 547, 2743, 2189, 4791, 7569, 269, 7324, 891, 267, 15046, 22223, 1756, 2861, 4334, 8069, 2709, 3982, 5383, 538, 18909, 3156, 2943, 4163, 7915, 4220, 5532, 547, 1279, 3856, 12802, 267, 16113, 538, 2550, 609, 5817, 17669, 1202, 340, 11797, 269, 744, 32054, 3646, 6322, 693, 17975, 4540, 4334, 2923, 4066, 13745, 609, 11826, 3621, 7634, 786, 17216, 6556, 10930, 8925, 5827, 540, 9750, 938, 10368, 6186, 3512, 10740, 1510, 18731, 3461, 10304, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 9707, 16195, 781, 1488, 614, 542, 4334, 2923, 7630, 528, 1062, 563, 2080, 616, 1896, 10311, 538, 2564, 9196, 4334, 2923, 8069, 269, 5565, 540, 519, 7887, 3377, 3688, 941, 1644, 547, 3106, 4145, 936, 6419 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 543, 4775, 18792, 5830, 267, 543, 594, 6557, 2469, 547, 7866, 621, 1631, 269, 634, 2367, 2712, 3729, 538, 11680, 269, 1656, 3006, 30660, 269, 2290, 540, 519, 1101, 2053, 594, 15336, 883, 519, 5604, 540, 1250, 2025, 20148, 19378, 11612, 326, 1231, 267, 646, 729, 4189, 606, 11945, 543, 7296, 513, 16906, 8195, 269, 630, 2691, 594, 3323, 693, 968, 306, 12991, 11482, 1421, 892, 596, 1223, 1869, 8673, 538, 606, 5604, 2679, 269, 594, 1522, 711, 581, 1762, 4700, 594, 1185, 1044, 972, 1152, 513, 1906, 4374, 267, 543, 19378, 1185, 1044, 1360, 8716, 543, 11215, 269, 594, 7340, 1018, 649, 941, 6158, 827, 267, 855, 594, 4682, 547, 1205, 513, 4704, 1433, 1055, 513, 1164, 15808, 538, 1010, 5604, 269, 1879, 594, 6603, 547, 1847, 513, 1957, 7484, 602, 729, 538, 4395, 540, 621, 267, 19378, 29860, 909, 269, 968, 10673, 1406, 5905, 602, 2223, 646, 1767, 269, 968, 295, 836, 593, 1848, 1261, 10544, 5523, 519, 7484, 267, 543, 513, 7008, 540, 1866, 899, 621, 1472, 519, 5604, 267, 543, 3576, 873, 856, 540, 519, 4055, 547, 29746, 873, 563, 2108, 17764, 267, 9493, 1695, 267, 602, 779, 890, 324, 538, 1346, 11680, 2223, 1250, 3659, 14529, 3121, 623, 749, 2663, 5483, 803, 269, 594, 1223, 711, 3494, 621, 269, 594, 1185, 2097, 689, 5822, 4975, 267, 799, 729, 676, 1100, 1797, 2973, 22924, 1131, 711, 581, 796, 515, 731, 540, 547, 1294, 513, 3731, 4758, 4332, 538, 606, 936, 560, 4428, 539, 607, 6255, 2001, 267, 585, 1383, 269, 1809, 594, 1185, 2760, 4862, 540, 4896, 890, 4370, 538, 513, 7484, 4849, 693, 513, 4387, 779, 5604, 269, 9320, 596, 8910, 798, 621, 593, 513, 4155, 7552, 952, 621, 729, 1932, 2484, 1063, 1964, 13515, 269, 594, 1185, 9090, 2760, 4862, 540, 4896, 890, 4370, 538, 513, 7484, 543, 6028, 621, 593, 513, 2835, 3559, 325, 538, 1010, 5604, 547, 18493, 622, 1394, 883, 1010, 1560, 998, 519, 22405, 593, 1010, 3068, 563, 296, 5143, 513, 5256, 1071, 22086, 518, 827, 1018, 594, 1185, 2938, 269, 12984, 621, 711, 519, 14407, 652, 3364, 646, 1185, 2479, 4862, 286, 1261, 12943, 2339, 6361, 1922, 18075, 602, 646, 12212, 1705, 621, 267, 1932, 269, 1261, 1767, 621, 729, 1175, 1945, 16921, 1705, 950, 789, 941, 1932, 27823, 547, 979, 547, 519, 19880, 269, 634, 19880, 267, 594, 1058, 1448, 856, 267, 729, 827, 607, 2484, 2476, 607, 596, 616, 689, 713, 12139, 269, 594, 3323, 547, 1745, 607, 952, 594, 941, 689, 2230, 563, 296, 1572, 1250, 7911, 23136, 267, 11518, 267, 1394, 538, 9628, 269, 968, 2791, 8057, 909, 1259, 856, 538, 519, 2197, 609, 513, 19619, 540, 14552, 269, 9894, 596, 2479, 890, 324, 538, 11680, 543, 267, 899, 267, 4734, 873, 1472, 9495, 11518, 729, 5335, 592, 748, 269, 968, 1432, 256, 3143, 269, 2334, 779, 29832, 755, 532, 1848, 589, 8536, 2798, 585, 11518, 563, 5629, 594, 2968, 3222, 540, 713, 2259, 267, 594, 3323, 711, 6005, 11680, 538, 824, 4025, 269, 769, 519, 968, 25582, 754, 22352, 892, 13646, 30147, 941, 899, 519, 21273, 855, 1611, 518, 4587, 7015, 540, 519, 2834, 5830, 685, 13646, 9789, 516, 14201, 1406, 1022, 11680, 269, 1703, 729, 513, 20220, 269, 898, 729, 513, 20220, 540, 533, 1170, 609, 513, 19984, 593, 621, 267, 543, 267, 32198, 676, 922, 11007, 267, 594, 14353, 602, 519, 5830, 3006, 22883, 883, 621, 269, 2107, 602, 835, 540, 873, 729, 1768, 1026, 569, 2192, 269, 1411, 1223, 1294, 621, 950, 596, 3357, 538, 519, 7450, 267, 1394, 26569, 676, 519, 12784, 3141, 267, 543, 693, 1101, 594, 2219, 621, 729, 513, 1449, 269, 1403, 596, 4718, 519, 533, 1170, 20220, 543, 546, 1563, 547, 11716, 621, 543, 3136, 883, 519, 4055, 267, 596, 941, 20888, 269, 968, 310, 601, 20411, 892, 568, 1932, 2178, 513, 2262, 269, 1411, 941, 1547, 1547, 1547, 835, 540, 519, 16921, 286, 715, 2100, 267, 596, 917, 1018, 286, 594, 6557, 1175, 1788, 532, 269, 898, 7948, 1406, 723, 1044, 513, 1449, 267, 1317, 789, 2731, 4769, 1406, 2285, 513, 535, 3089, 2436, 596, 3357, 883, 519, 4055, 610, 711, 563, 8253, 782, 519, 2367, 693, 968, 306, 12991, 11482, 1848, 627, 714, 7458, 538, 11680, 269, 1809, 2185, 610, 2947, 856, 540, 8938, 1705, 267, 865, 519, 2367, 723, 547, 1378, 602, 835, 269, 7102, 5503, 972, 779, 513, 3983, 4775, 1796, 1575, 12341, 267, 930, 7329, 3999, 3955, 24108, 3455, 786, 17429, 576, 602, 968, 342, 1580, 5749, 1406, 16168, 1848, 4635, 602, 1482, 2979, 267, 594, 666, 17429, 576, 602, 5256, 18792, 5830, 533, 1170, 538, 11680, 563, 9827, 267, 789, 899, 547, 27642, 547, 22149, 1142, 824, 269, 898, 779, 1547, 1547, 1547, 1810, 1406, 5855, 827, 621, 269, 898, 779, 20027, 267, 2965, 563, 2414, 3136, 609, 713, 2257, 540, 3376, 31633, 267, 533, 1170, 532, 538, 11680, 949, 1397, 602, 2367, 979, 883, 18792, 547, 2736, 3652, 269, 17957, 267, 519, 2021, 594, 917, 538, 18792, 616, 782, 6867, 3814, 20766, 267, 1434, 4961, 267, 7646, 268, 10458, 1229, 2852, 20021, 269, 9320, 649, 2021, 28040, 10028, 4724, 18792, 1317, 621, 568, 513, 13998, 11807, 1259, 547, 2736, 3652, 269, 5620, 596, 2451, 803, 585, 519, 10381, 26745, 2943, 888, 2252, 596, 723, 711, 267, 1631, 594, 786, 2995, 596, 519, 1650, 540, 1250, 10583, 652, 4090, 607, 835, 540, 519, 2212, 5830, 693, 968, 306, 12991, 11482, 1848, 2311, 519, 4098, 540, 1142, 4005, 267, 519, 5234, 1131, 2328, 5010, 1612, 3672, 9789, 16995, 5010, 338, 602, 596, 723, 10150, 936, 519, 2250, 13977, 29350, 1296, 267, 971, 607, 968, 19913, 2466, 1206, 22985, 892, 543, 968, 8624, 517, 645, 869, 1848, 594, 6999, 594, 1185, 2854, 2901, 540, 1346, 267, 855, 594, 4769, 1406, 269, 630, 296, 1705, 2328, 968, 300, 558, 8614, 753, 2223, 968, 25486, 783, 324, 2223, 543, 968, 2750, 1027, 12541, 585, 30101, 6874, 3290, 10361, 2851, 2223, 952, 602, 2337, 8094, 10376, 5856, 1131, 10505, 1079, 610, 1614, 5010, 24733, 1328, 20072, 267, 543, 519, 12696, 543, 2212, 5830, 1131, 1287, 4584, 799, 3283, 1131, 581, 8929, 269, 769, 513, 3339, 1397, 3018, 267, 1169, 17250, 568, 1224, 16965, 676, 519, 5641, 693, 513, 968, 14456, 1224, 892, 538, 4395, 540, 519, 2898, 5234, 269, 634, 4055, 568, 14095, 609, 5830, 267, 9858, 267, 3942, 9946, 267, 12372, 267, 3092, 1421, 865, 596, 723, 513, 8799, 2462, 5304, 269, 15526, 666, 5873, 1141, 972, 616, 14902, 338, 267, 543, 3025, 814, 513, 2631, 540, 799, 25780, 1223, 960, 269, 634, 5010, 1612, 3672, 4769, 1406, 1205, 602, 2126, 267, 543, 7446, 799, 3283, 547, 3132, 2141, 4547, 856, 519, 10782, 538, 1004, 563, 296, 1131, 1224, 519, 17142, 540, 17288, 20072, 543, 4584, 519, 3283, 594, 17329, 269, 667, 12447, 5062, 301, 747, 15614, 267, 519, 824, 2212, 5856, 267, 1131, 4584, 519, 3283, 646, 17329, 269, 3502, 19599, 267, 649, 1142, 9053, 519, 3283, 938, 2828, 1185, 2854, 269, 1703, 729, 606, 796, 4944, 7505, 4341, 602, 596, 2760, 14593, 585, 707, 1378, 4773, 267, 2479, 563, 10190, 649, 1131, 1142, 14384, 7944, 519, 12696, 1765, 17556, 557, 11612, 326, 1231, 543, 7033, 4173, 2993, 1506, 11652, 2119, 547, 1205, 873, 547, 3858, 609, 721, 269, 1284, 1131, 3136, 713, 4009, 7544, 540, 9513, 1142, 824, 856, 585, 513, 3018, 610, 865, 267, 1152, 547, 1265, 602, 13343, 6178, 648, 25651, 267, 519, 1279, 29280, 8689, 540, 519, 5010, 1612, 3672, 267, 1185, 2907, 3323, 15246, 519, 3283, 646, 17329, 267, 1510, 6998, 721, 269, 898, 779, 513, 27803, 4376, 2479, 3893, 2944, 563, 2467, 729, 835, 1612, 1328, 7097, 602, 594, 2731, 10692, 585, 269, 898, 729, 1394, 950, 968, 5035, 545, 892, 729, 513, 2462, 10229, 7678, 269, 3213, 651, 25839, 269, 1234, 20623, 758, 25839, 269, 634, 1360, 16168, 14529, 3121, 623, 749, 1185, 2854, 513, 7097, 1572, 968, 298, 582, 1410, 25839, 1848, 634, 2856, 729, 602, 918, 582, 1410, 729, 3843, 547, 2847, 633, 1346, 2025, 562, 31106, 1606, 4869, 625, 7254, 3202, 23040, 9469, 602, 554, 10541, 547, 606, 13412, 12966, 269, 898, 12286, 519, 2021, 538, 519, 5641, 11981, 1187, 968, 19640, 7523, 892, 2238, 609, 9649, 7254, 3202, 23040, 9469, 533, 3183, 856, 540, 519, 25568, 540, 741, 1970, 8573, 1047, 14247, 753, 269, 898, 8604, 547, 803, 547, 581, 606, 5140, 1612, 1328, 540, 19911, 28101, 2861, 6725, 1247, 849, 1373, 513, 2370, 26648, 543, 25064, 269, 594, 6854, 8744, 621, 909, 538, 11401, 1152, 547, 581, 5143, 602, 621, 1131, 581, 968, 1729, 334, 2352, 547, 3132, 1848, 14529, 3121, 543, 594, 14201, 1406, 2386, 1018, 602, 5921, 267, 865, 649, 6854, 10296, 269, 7053, 267, 19378, 11612, 326, 1231, 543, 13343, 6178, 648, 25651, 2893, 1524, 609, 721, 543, 4280, 721, 547, 2491, 519, 2856, 269, 968, 1692, 1131, 649, 1294, 519, 14950, 286, 1772, 621, 513, 3364, 602, 2501, 909, 519, 4395, 286, 14348, 649, 723, 547, 24680, 538, 593, 621, 286, 14348, 333, 1406, 519, 6690, 723, 547, 1491, 741, 27890, 1055, 286, 14348, 649, 1294, 1973, 18313, 2690, 803, 267, 713, 729, 1018, 14956, 19207, 1131, 1289, 606, 589, 3873, 256, 4090, 269, 1358, 4769, 1406, 3100, 547, 917, 875, 524, 13246, 727, 513, 7254, 3202, 5991, 777, 7219, 12966, 729, 269, 898, 729, 519, 4090, 594, 7691, 602, 972, 729, 1100, 968, 13318, 6627, 1242, 3023, 1143, 892, 693, 713, 1747, 1765, 27271, 519, 16921, 1175, 12777, 4769, 1406, 917, 1018, 649, 941, 6158, 827, 269, 769, 519, 1482, 1259, 602, 594, 729, 711, 5432, 609, 519, 4625, 3339, 2688, 540, 533, 1170, 532, 538, 30660, 267, 789, 1185, 2760, 1044, 19942, 513, 4439, 3101, 25447, 918, 582, 1410, 1587, 676, 519, 1153, 12016, 269, 1809, 789, 11967, 14529, 3121, 543, 803, 267, 865, 649, 1500, 519, 5010, 267, 543, 519, 5010, 5249, 563, 10521, 1919, 941, 15260, 1005, 827, 713, 269, 2290, 267, 602, 649, 941, 4862, 269, 1656, 267, 811, 1271, 267, 594, 7691, 602, 1282, 782, 1346, 1296, 950, 594, 729, 2386, 602, 8695, 1223, 2995, 950, 594, 1185, 513, 3193, 328, 14950, 519, 2450, 540, 513, 3138, 2378, 540, 3694, 2469, 909, 519, 1394, 540, 1250, 27890, 789, 2965, 1185, 1100, 2856, 269, 2340, 503, 355, 454, 272, 296, 2161, 12370, 968, 2692, 903, 892, 1317, 789, 616, 3592, 2141, 5256, 267, 543, 1317, 789, 616, 2356, 896, 8938, 19317, 543, 723, 2760, 2944, 2168, 4074, 609, 741, 7916, 610, 7953, 269, 594, 2648, 873, 1360, 1454, 269, 0, 8256, 3569, 23645, 15173, 15158, 26085, 15613, 543, 11059, 4643, 23645, 15613, 543, 589, 2388, 454, 306, 20980, 29283, 540, 18143, 8249, 454, 763, 7027, 585, 12655, 4886, 5645, 856, 513, 8513, 13001, 4204, 1857, 6278, 3635, 538, 476, 1001, 277, 630, 4178, 4732, 639, 22563, 3820, 19544, 330, 264, 547, 513, 709, 572, 1857, 4656, 267, 7520, 5717, 543, 1628, 13618, 593, 3800, 547, 5000, 24040, 2242, 602, 616, 20009, 547, 513, 811, 4264, 4616, 4806, 593, 6211, 2200, 971, 607, 1426, 267, 7802, 267, 11647, 267, 3092, 563, 1432, 616, 18143, 8249, 888, 289, 8344, 2200, 3277, 547, 782, 2713, 7103, 602, 30593, 1480, 779, 4909, 2115, 267, 971, 607, 7802, 267, 1426, 267, 4492, 267, 1957, 267, 543, 4915, 267, 3092, 269, 13575, 6340, 267, 6211, 2200, 1331, 1614, 2010, 540, 2200, 912, 27154, 2200, 267, 552, 3052, 269, 7786, 267, 3165, 267, 27738, 267, 20641, 267, 5017, 267, 11864, 454, 24456, 2200, 267, 552, 3052, 269, 4054, 267, 19211, 267, 11922, 454, 300, 17853, 2200, 267, 552, 3052, 269, 4551, 454, 289, 8344, 8249, 538, 3776, 11545, 22032, 454, 2171, 7048, 593, 6211, 2200, 585, 938, 3232, 2115, 267, 585, 1383, 2676, 5978, 29283, 15580, 454, 295, 784, 15158, 568, 513, 4616, 2861, 2486, 799, 12346, 8185, 593, 2067, 2200, 16865, 689, 11992, 267, 543, 8754, 519, 4806, 649, 6718, 543, 8532, 5370, 543, 2533, 814, 2178, 6286, 593, 519, 6211, 2200, 538, 519, 4541, 269, 6875, 16872, 607, 606, 1383, 267, 15173, 15158, 568, 1851, 519, 1158, 781, 21050, 476, 1015, 829, 21027, 16872, 6800, 267, 543, 568, 19486, 2034, 538, 5607, 269, 634, 2179, 540, 16872, 606, 3328, 15173, 15158, 17055, 27499, 1142, 1032, 568, 811, 982, 1614, 2053, 519, 2518, 19011, 326, 2801, 563, 289, 8344, 2200, 616, 4909, 2609, 547, 519, 5117 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 741, 1753, 454, 2791, 616, 547, 581, 7249, 7806, 4327, 585, 707, 17246, 30970, 269, 1411, 1360, 10355, 968, 27409, 760, 892, 4896, 779, 8292, 855, 519, 804, 3241, 612, 968, 338, 617, 892, 19262, 547, 581, 5167, 539, 689, 942, 547, 942, 563, 8923, 1450, 968, 338, 617, 892, 547, 3136, 547, 6085, 1934, 607, 646, 9727, 875, 4617, 519, 1325, 1301, 1235, 616, 269, 1358, 666, 1406, 20912, 602, 789, 10567, 8337, 855, 621, 8959, 547, 1570, 1047, 269, 3767, 789, 616, 6335, 532, 538, 519, 2842, 543, 1004, 899, 968, 338, 617, 892, 666, 1406, 2491, 1946, 12624, 7186, 5337, 2803, 2910, 273, 563, 32091, 3220, 269, 1530, 30807, 1014, 700, 6686, 940, 543, 4515, 269, 674, 761, 345, 966, 15786, 3128, 339, 2676, 306, 611, 569, 596, 616, 711, 2469, 547, 1205, 606, 3284, 1108, 689, 519, 20859, 945, 544, 18088, 707, 5836, 4783, 3069, 563, 301, 528, 616, 27710, 16558, 2469, 547, 1205, 519, 2724, 1394, 602, 729, 24906, 593, 519, 2856, 602, 968, 300, 527, 580, 908, 12539, 892, 1131, 4324, 938, 4541, 563, 577, 718, 3188, 585, 7091, 543, 2561, 749, 563, 2080, 568, 513, 3095, 547, 513, 1353, 593, 519, 2360, 593, 2030, 2208, 689, 11506, 11626, 1071, 273, 2157, 269, 634, 2360, 540, 6173, 908, 11626, 1071, 273, 2157, 616, 1152, 2318, 585, 2371, 543, 18867, 1426, 2504, 269, 654, 5893, 519, 1840, 540, 1071, 273, 538, 8511, 3395, 3871, 563, 296, 4898, 2436, 7091, 543, 2561, 749, 1223, 1450, 2933, 547, 1224, 971, 1570, 543, 1287, 5310, 6085, 24617, 593, 621, 888, 763, 6034, 543, 1473, 1311, 12186, 540, 16842, 12539, 667, 8610, 728, 593, 7233, 6693, 5804, 2904, 476, 1220, 279, 912, 2108, 6524, 621, 568, 2922, 547, 14487, 513, 2518, 8337, 610, 513, 2518, 9023, 1198, 547, 1022, 824, 3815, 630, 4596, 273, 538, 1880, 264, 621, 568, 2556, 547, 771, 550, 4120, 519, 21800, 20718, 2318, 543, 2942, 2360, 540, 3859, 8390, 267, 19113, 302, 270, 2894, 12569, 543, 519, 824, 30173, 9979, 269, 6884, 789, 960, 538, 796, 2581, 267, 3006, 789, 960, 1996, 1142, 824, 543, 2394, 513, 4542, 814, 1044, 2919, 547, 960, 538, 513, 5354, 540, 3871, 782, 938, 7058, 525, 827, 2916, 1689, 1590, 2097, 547, 562, 4454, 563, 3383, 267, 547, 581, 2111, 547, 6895, 543, 3589, 2242, 538, 2518, 2837, 649, 991, 811, 982, 1344, 827, 519, 2250, 267, 1699, 543, 4397, 2104, 1377, 540, 3859, 2534, 563, 2171, 849, 991, 547, 2697, 782, 519, 5094, 30173, 9979, 1472, 519, 8608, 543, 23754, 1312, 519, 1699, 1533, 540, 741, 9757, 8337, 610, 9023, 12331, 543, 267, 32047, 267, 519, 8515, 540, 1142, 267, 1312, 693, 519, 942, 540, 6482, 543, 538, 519, 2104, 563, 5629, 649, 723, 513, 5078, 4542, 594, 3494, 602, 2242, 538, 2518, 2837, 786, 1100, 3476, 581, 513, 14845, 7613, 543, 649, 786, 581, 2111, 547, 813, 10407, 519, 1697, 2597, 547, 824, 12018, 2188, 971, 607, 519, 8511, 1198, 540, 2910, 273, 3034, 314, 2507, 316, 568, 513, 1007, 2022, 676, 3220, 269, 1530, 30807, 1014, 700, 6686, 940, 543, 7905, 674, 761, 345, 966, 15786, 3128, 339, 267, 12261, 676, 24839, 717, 657, 1088, 514, 267, 593, 519, 20965, 14881, 4898, 2436, 7091, 543, 2561, 749, 1223, 1450, 2933, 547, 1224, 971, 1570, 543, 1287, 5310, 6085, 24617, 593, 621, 18313, 21837, 2561, 749, 779, 2542, 8223, 4667, 547, 581, 12758, 538, 476, 275, 628, 3446, 607, 7152, 676, 1010, 8292, 1934, 912, 21837, 2561, 749, 814, 21494, 5132, 538, 968, 20458, 12207, 892, 543, 2523, 950, 789, 2328, 4574, 602, 616, 968, 701, 518, 12649, 9731, 12179, 821, 609, 513, 10286, 540, 1455, 2631, 30877, 602, 1034, 968, 20458, 12207, 892, 616, 1603, 4574, 547, 5225, 741, 2797, 18544, 912, 26944, 2103, 593, 519, 824, 1688, 616, 2484, 811, 20310, 269, 594, 4126, 586, 685, 718, 786, 1265, 519, 942, 547, 4585, 713, 19278, 543, 13181, 3381, 912, 2108, 7661, 972, 779, 6876, 281, 7909, 9979, 616, 3743, 585, 519, 7508, 8337, 2094, 476, 1220, 271, 1635, 3220, 269, 1530, 30807, 1014, 700, 6686, 940, 543, 4515, 269, 674, 761, 345, 966, 15786, 3128, 339, 630, 23389, 1257, 12261, 267, 12995, 676, 623, 717, 657, 1088, 514, 264, 7536, 1607, 3884, 1406, 513, 4760, 1957, 267, 1318, 888, 3383, 1018, 269, 4750, 13629, 568, 11207, 13061, 563, 295, 13273, 1406, 596, 2479, 4862, 540, 519, 4950, 563, 7775, 798, 596, 1869, 2661, 538, 519, 14730, 12698, 563, 2791, 917, 596, 1616, 547, 269, 589, 942, 540, 11641, 559, 775, 543, 2068, 907, 9985, 14018, 547, 813, 749, 269, 0, 9199, 1186, 2047, 1644, 547, 19876, 532, 1331, 1346, 1369, 513, 2582, 19876, 6656, 267, 911, 328, 272, 532, 267, 476, 272, 1737, 532, 6316, 543, 12499, 30066, 26642, 267, 543, 2789, 3889, 1369, 5918, 14658, 13337, 10851, 267, 28093, 878, 622, 11655, 267, 543, 6906, 10851, 269, 700, 8632, 16304, 3774, 543, 3723, 13665, 15155, 1186, 3132, 519, 10880, 19479, 585, 891, 3889, 563, 1320, 6412, 543, 9087, 272, 323, 12966, 20637, 1590, 581, 5941, 1369, 6626, 2796, 799, 16621, 15972, 6163, 1369, 2062, 1633, 2127, 269, 8891, 15950, 5108, 267, 9194, 267, 543, 1303, 1905, 618, 538, 1082, 2062, 1633, 3889, 666, 581, 5532, 18549, 547, 519, 19876, 532, 1184, 269, 570, 624, 4577, 15205, 676, 519, 19876, 12966, 4384, 919, 2062, 1633, 3889, 267, 799, 3136, 547, 1332, 1282, 3606, 12933, 531, 2110, 2287, 563, 13146, 30405, 17656, 543, 20381, 27992, 540, 595, 523, 32223, 547, 2487, 4780, 7217, 6676, 19114, 723, 7152, 602, 1082, 540, 519, 3741, 540, 3504, 16784, 6253, 6412, 12966, 9511, 616, 813, 272, 328, 9348, 272, 324, 547, 891, 7820, 16784, 6253, 6412, 26797, 543, 934, 4958, 542, 776, 929, 3359, 269, 5381, 885, 1331, 519, 4527, 540, 695, 532, 1194, 28093, 878, 622, 19876, 338, 267, 5918, 14658, 525, 6772, 664, 676, 8789, 19876, 9212, 267, 10880, 24733, 5537, 970, 20378, 2934, 267, 543, 737, 1074, 16654, 26642, 563, 763, 2250, 13977, 1296, 540, 3282, 543, 3154, 3408, 538, 519, 8225, 543, 772, 2529, 269, 9412, 625, 814, 7000, 513, 5763, 540, 1344, 12946, 593, 519, 5108, 267, 9194, 267, 543, 1303, 1905, 618, 540, 30691, 1369, 19876, 26797, 269, 1306, 519, 21350, 272, 2541, 540, 20381, 543, 1134, 1239, 814, 6738, 267, 513, 476, 272, 1618, 2039, 540, 15972, 6163, 723, 1044, 4857, 269, 1452, 2039, 689, 2241, 1884, 545, 331, 1400, 3889, 1369, 513, 2582, 6656, 547, 23838, 540, 2789, 9212, 269, 14430, 676, 645, 958, 267, 717, 867, 344, 543, 26791, 630, 3422, 277, 1070, 667, 22844, 560, 668, 630, 3192, 271, 1070, 20858, 572, 267, 2782, 1676, 543, 1234, 3150, 630, 3192, 276, 1070, 543, 19681, 3205, 630, 2735, 273, 264, 1865, 519, 1585, 7293, 2010, 540, 8652, 21666, 24481, 3889, 602, 2049, 1369, 27743, 13738, 19876, 26797, 269, 29120, 4574, 735, 328, 272, 539, 676, 31473, 267, 1696, 513, 272, 269, 630, 2735, 275, 264, 4196, 607, 513, 1434, 2689, 540, 1018, 568, 1634, 827, 3345, 1977, 19876, 1922, 5435, 539, 1768, 3757, 525, 563, 2704, 1498, 891, 1568, 1865, 547, 930, 4110, 519, 14694, 7648, 602, 2049, 1369, 19876, 26797, 267, 2370, 2446, 814, 1044, 1500, 540, 519, 1808, 1198, 602, 891, 2934, 723, 593, 15972, 5250, 269, 2201, 1034, 3889, 267, 2241, 2185, 17574, 19479, 1131, 711, 2291, 855, 585, 519, 4527, 540, 476, 272, 8632, 15155, 1186, 269, 10765, 18096, 8862, 344, 4040, 19876, 12966, 8906, 723, 7152, 602, 14694, 15155, 1186, 543, 10880, 268, 2169, 3290, 666, 849, 3132, 19610, 19976, 4610, 9674, 676, 1164, 5086, 29529, 24966, 563, 7336, 2610, 1235, 616, 4742, 5051, 3222, 602, 29684, 16899, 3112, 581, 5701, 538, 10072, 269, 1635, 9750, 938, 21169, 547, 519, 6237, 543, 1158, 10253, 267, 649, 1265, 602, 1082, 2035, 10858, 547, 835, 7293, 11662, 849, 4019, 547, 11105, 16899, 269, 1280, 1383, 267, 29684, 4229, 3743, 585, 19876, 532, 267, 950, 5916, 609, 519, 18980, 18042, 12933, 531, 15205, 540, 30528, 9212, 267, 666, 3132, 25810, 2987, 341, 9407, 2062, 1633, 3889, 269, 634, 3741, 540, 9511, 543, 15972, 5250, 538, 3504, 19876, 26797, 666, 849, 581, 4294, 547, 595, 523, 32223, 19876, 26797, 543, 934, 4958, 542, 776, 23838, 693, 4780, 7217, 3531, 19114, 563, 763, 14724, 540, 19876, 12966, 7293, 20637, 2049, 1369, 513, 2582, 19876, 6656, 543, 616, 540, 1614, 2010, 281, 911, 4979, 6316, 267, 12499, 30066, 267, 543, 3056, 6316, 1884, 545, 6050, 630, 8201, 476, 272, 1040, 0, 763, 595, 5183, 543, 595, 11902, 616, 1312, 6444, 607, 3407, 22754, 585, 4648, 538, 519, 2883, 2533, 2872, 269, 1717, 267, 1620, 519, 11984, 1063, 519, 1079, 666, 581, 14845, 269, 1703, 616, 11029, 3604, 538, 1312, 1599, 543, 4170, 267, 855, 8051, 543, 8804, 4648, 666, 15407, 891, 22754, 585, 5571, 4876, 1967, 269, 19805, 1063, 519, 595, 5183, 543, 595, 11902, 1374, 725, 568, 606, 1271, 1900, 538, 8159, 799, 1870, 4876, 2619, 568, 1318, 585, 596, 563, 290, 1068, 1881, 1857, 2272, 1218, 630, 9573, 2026, 264, 723, 6192, 519, 31538, 26133, 5398, 10055, 656, 11929, 2059, 609, 5870, 741, 1808, 1533, 779, 4170, 585, 13995, 269, 634, 595, 5183, 981, 568, 13950, 676, 519, 1977, 4659, 540, 26133, 5398, 10055, 1218, 269, 769, 2489, 267, 1346, 945, 3180, 519, 595, 5183, 19609, 616, 3743, 585, 3454, 8989, 543, 25937, 267, 1498, 1808, 2816, 11645, 4268, 676, 1909, 269, 1358, 948, 3549, 543, 2043, 11694, 12434, 543, 7413, 9204, 267, 2059, 609, 968, 335, 18166, 5359, 602, 8308, 2992, 519, 1870, 4308, 902, 540, 3549, 543, 2043, 789, 960, 585, 2223, 7767, 31638, 3081, 563, 2419, 691, 1229, 2883, 19767, 630, 20003, 2026, 1070, 593, 519, 824, 1688, 267, 723, 6192, 519, 4170, 540, 519, 595, 11902, 4659, 779, 1982, 269, 901, 2882, 15980, 606, 15938, 4110, 267, 11264, 1142, 540, 519, 1614, 595, 11902, 4255, 267, 543, 11543, 2872, 1995, 269, 2991, 13844, 713, 19609, 267, 18435, 2026, 960, 538, 513, 3099, 540, 2883, 25566, 5107, 267, 6313, 968, 1492, 2208, 543, 20656, 540, 3549, 607, 1134, 607, 741, 5491, 10290, 1465, 543, 519, 2179, 540, 7963, 789, 4163, 2223, 2687, 547, 7767, 31638, 269, 18435, 2026, 666, 1685, 2123, 2883, 4058, 543, 5763, 2359, 267, 607, 1134, 607, 1443, 2358, 7218, 593, 5092, 3664, 563, 290, 5183, 5288, 269, 595, 11902, 1401, 4461, 454, 26473, 790, 906, 585, 519, 595, 5183, 981, 4268, 676, 1533, 267, 855, 538, 2489, 267, 23078, 1590, 581, 20277, 779, 4110, 25963, 609, 476, 6344, 610, 476, 5611, 19496, 17099, 269, 1358, 1590, 849, 1780, 1142, 6712, 540, 519, 981, 543, 723, 4143, 960, 1995, 269, 12409, 4170, 2356, 2874, 540, 476, 2190, 547, 476, 1789, 3108, 538, 8051, 267, 543, 930, 2829, 849, 2154, 835, 547, 1079, 1296, 540, 8051, 1995, 1354, 2921, 519, 981, 269, 5221, 540, 519, 7453, 3872, 4170, 267, 1082, 23078, 3442, 547, 11654, 513, 4487, 779, 4110, 538, 8051, 547, 11886, 519, 2556, 3108, 563, 12179, 821, 945, 6585, 513, 20277, 779, 4110, 666, 1694, 585, 519, 595, 11902, 981, 267, 855, 2489, 4170, 547, 7118, 713, 19609, 1331, 8429, 1142, 540, 1614, 11400, 543, 2348, 1614, 1296, 540, 4143, 960, 1995, 269, 634, 981, 5161, 540, 1614, 267, 3670, 16923, 4255, 602, 3382, 912, 268, 11038, 3741, 454, 268, 11038, 2079, 543, 8051, 454, 268, 5800, 12859, 2359, 543, 3375, 6194, 454, 22512, 619, 2991, 27872, 454, 763, 1739, 616, 930, 540, 519, 4876, 3681, 2139, 547, 1346, 945, 723, 6192, 519, 595, 5183, 543, 595, 11902, 11400, 563, 268, 10055, 656, 543, 2912, 3218, 281, 12344, 519, 1034, 3551, 4876, 2619, 1310, 11264, 519, 595, 5183, 981, 568, 4742, 606, 2272, 656, 610, 2912, 3218, 269, 1452, 4648, 2327, 602, 2883, 6898, 616, 4977, 543, 16783, 609, 6042, 269, 13786, 4850, 3335, 1331, 8600, 3454, 7024, 267, 4509, 2883, 5638, 267, 543, 1818, 2883, 7840, 547, 2359, 269, 4340, 547, 519, 13163, 540, 8534, 10803, 630, 289, 11862, 1070, 519, 3328, 14057, 585, 2272, 1218, 543, 2912, 6002, 568, 1269, 6858, 267, 5002, 563, 268, 2552, 28948, 281, 4746, 1634, 607, 635, 696, 28948, 267, 713, 4876, 3322, 13327, 4370, 519, 1585, 2883, 13623, 1369, 513, 2754, 269, 901, 949, 1331, 8051, 267, 6578, 267, 20894, 267, 543, 824, 15523, 269, 2552, 2651, 619, 616, 3743, 585, 968, 335 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 272, 454, 15744, 366, 271, 323, 22933, 355, 1412, 337, 1412, 15744, 366, 271, 681, 24033, 377, 15744, 366, 24033, 511, 31014, 15234, 1990, 337, 1412, 1743, 262, 476, 273, 1990, 305, 681, 476, 273, 454, 22933, 355, 20371, 292, 345, 23880, 4449, 23526, 476, 273, 692, 275, 701, 522, 19569, 355, 23880, 11434, 23880, 825, 1990, 454, 343, 454, 274, 454, 320, 4449, 672, 1627, 454, 292, 23880, 19569, 366, 341, 7386, 20842, 23880, 454, 24994, 7386, 476, 24994, 454, 541, 454, 5719, 546, 27475, 2892, 523, 17485, 454, 3916, 2572, 632, 681, 286, 14030, 672, 476, 274, 324, 522, 678, 672, 476, 273, 454, 275, 701, 522, 678, 567, 476, 273, 454, 303, 9950, 269, 476, 275, 269, 276, 454, 22933, 362, 567, 589, 4009, 6676, 693, 7077, 1990, 284, 271, 543, 1535, 25104, 352, 25104, 365, 273, 267, 586, 25104, 352, 25104, 365, 273, 454, 322, 1551, 625, 513, 5279, 476, 1321, 586, 544, 290, 8276, 273, 1547, 4855, 519, 2698, 454, 8408, 593, 519, 6676, 543, 519, 3167, 2361, 8515, 693, 454, 263, 271, 267, 271, 267, 1015, 1916, 273, 672, 476, 273, 23526, 476, 273, 672, 476, 273, 4449, 19930, 476, 273, 476, 273, 454, 344, 454, 304, 23880, 17986, 366, 15848, 17986, 366, 476, 1321, 586, 10085, 23880, 17986, 366, 15848, 17986, 366, 476, 1321, 263, 273, 264, 586, 11276, 23880, 476, 275, 17986, 501, 1321, 263, 273, 264, 672, 476, 4572, 544, 290, 454, 343, 23880, 12865, 511, 273, 586, 23880, 12865, 511, 273, 825, 1535, 23880, 12865, 511, 273, 586, 23880, 476, 271, 4449, 476, 273, 476, 271, 454, 22933, 366, 19569, 366, 454, 22933, 366, 338, 4449, 8587, 19569, 366, 521, 546, 306, 678, 12865, 511, 678, 1412, 454, 292, 24033, 377, 15744, 366, 23526, 476, 24994, 454, 323, 306, 541, 1038, 23880, 15744, 366, 1038, 19569, 366, 19569, 366, 454, 275, 701, 522, 678, 476, 273, 4449, 476, 275, 701, 522, 678, 12865, 511, 678, 1412, 476, 274, 454, 22933, 366, 19569, 366, 454, 337, 12865, 511, 678, 1412, 23880, 630, 271, 267, 271, 267, 1015, 264, 12865, 511, 630, 1535, 262, 2073, 586, 262, 2073, 271, 264, 23880, 630, 24033, 511, 1535, 262, 2073, 24033, 511, 586, 262, 2073, 1015, 994, 345, 692, 6944, 2507, 9917, 564, 540, 454, 8408, 454, 344, 284, 273, 692, 22933, 366, 14030, 14030, 1535, 284, 273, 454, 263, 24033, 511, 1535, 267, 24033, 511, 586, 267, 1015, 994, 273, 567, 476, 273, 454, 1321, 586, 15848, 11276, 454, 292, 24033, 377, 825, 17986, 366, 17986, 366, 454, 24033, 511, 476, 273, 586, 23880, 12865, 511, 273, 454, 275, 701, 522, 672, 12865, 357, 343, 567, 476, 273, 454, 24033, 360, 586, 31609, 476, 1911, 454, 273, 454, 24033, 358, 567, 476, 274, 270, 476, 273, 692, 15744, 358, 273, 8587, 476, 273, 454, 24033, 511, 1535, 11459, 323, 5984, 1535, 454, 24994, 16875, 476, 273, 476, 273, 454, 24033, 511, 586, 586, 15848, 323, 5984, 586, 454, 24994, 1038, 476, 273, 476, 476, 273, 454, 1015, 586, 15848, 323, 5984, 1990, 24994, 454, 24033, 377, 476, 10482, 17986, 501, 1015, 17986, 359, 17986, 366, 586, 17986, 366, 454, 277, 454, 24033, 360, 15744, 366, 17986, 366, 23351, 31609, 15744, 366, 344, 17986, 366, 454, 15744, 359, 24033, 511, 476, 273, 1535, 23880, 12865, 511, 273, 12865, 357, 343, 31609, 586, 31609, 476, 1911, 12865, 358, 4449, 476, 12865, 357, 343, 31609, 586, 31609, 476, 1911, 12865, 358, 12865, 511, 273, 1535, 24033, 377, 24033, 511, 273, 12865, 357, 343, 476, 273, 31609, 586, 476, 273, 31609, 476, 1911, 12865, 358, 274, 270, 476, 273, 454, 273, 825, 476, 273, 11434, 476, 274, 270, 476, 273, 25639, 476, 273, 825, 476, 273, 11434, 476, 274, 270, 476, 273, 454, 15744, 360, 4449, 3546, 12865, 511, 476, 273, 1535, 23880, 12865, 511, 273, 692, 18814, 547, 15340, 1152, 26442, 3470, 1161, 912, 22933, 366, 23526, 17986, 358, 476, 273, 476, 273, 476, 1015, 586, 11459, 11276, 1794, 17986, 373, 454, 24994, 454, 292, 23880, 476, 10482, 17986, 501, 1015, 17986, 501, 476, 273, 15744, 359, 17986, 366, 17986, 366, 454, 277, 454, 274, 270, 476, 273, 17986, 374, 454, 15744, 360, 16875, 12865, 357, 454, 15744, 359, 24033, 511, 273, 476, 271, 1535, 31609, 586, 31609, 476, 1911, 17986, 374, 454, 273, 567, 476, 273, 454, 15744, 375, 672, 12865, 358, 454, 24033, 377, 476, 1626, 269, 276, 1794, 631, 309, 1315, 544, 454, 24994, 454, 25821, 12071, 343, 25670, 454, 291, 568, 4830, 540, 519, 5420, 538, 799, 519, 454, 8408, 568, 5116, 780, 22933, 366, 8587, 19569, 366, 672, 19569, 366, 642, 546, 341, 454, 291, 23880, 552, 334, 292, 23880, 17986, 366, 1363, 476, 24994, 454, 320, 305, 1496, 290, 1315, 544, 476, 273, 23378, 275, 335, 305, 567, 476, 273, 692, 10190, 519, 3167, 13441, 568, 10778, 22933, 366, 19569, 366, 454, 22933, 503, 23880, 17986, 366, 667, 17986, 501, 546, 306, 1496, 290, 23378, 294, 320, 1380, 779, 4521, 454, 22933, 366, 19569, 366, 454, 22933, 503, 23880, 17986, 366, 667, 17986, 501, 546, 306, 23880, 1627, 16780, 454, 306, 454, 22933, 366, 19569, 366, 454, 304, 16780, 23880, 17986, 366, 19569, 366, 642, 546, 341, 23880, 17986, 366, 667, 17986, 501, 546, 306, 454, 306, 454, 22933, 366, 19569, 366, 2018, 19569, 366, 454, 15744, 366, 667, 17986, 501, 546, 306, 23880, 17986, 366, 17986, 495, 17986, 501, 667, 546, 341, 454, 306, 16875, 642, 692, 22933, 366, 454, 22933, 366, 341, 23880, 17986, 495, 17986, 501, 667, 454, 294, 320, 1380, 779, 4521, 454, 22933, 362, 567, 634, 2698, 3167, 13441, 19569, 503, 2676, 10843, 1022, 6806, 454, 22933, 366, 672, 19569, 366, 8587, 19569, 366, 642, 546, 341, 454, 291, 23880, 552, 334, 292, 23880, 17986, 366, 1363, 476, 24994, 454, 320, 454, 338, 16577, 568, 3160, 547, 519, 4449, 567, 476, 275, 335, 305, 476, 476, 273, 681, 454, 22933, 366, 19569, 366, 454, 20135, 5279, 20583, 676, 672, 19569, 503, 23880, 1627, 16780, 23880, 17986, 366, 667, 17986, 501, 546, 306, 23880, 17986, 366, 19569, 366, 642, 546, 341, 454, 7474, 2627, 269, 23351, 590, 16875, 642, 454, 5278, 1806, 281, 15531, 667, 693, 1448, 454, 303, 689, 519, 10997, 912, 291, 567, 19569, 362, 567, 8672, 932, 1618, 568, 693, 519, 5169, 563, 22933, 366, 19569, 366, 454, 303, 4449, 567, 1627, 23880, 17986, 366, 667, 17986, 501, 546, 306, 454, 337, 4449, 17264, 590, 692, 8408, 16875, 19569, 362, 567, 7994, 513, 20085, 546, 306, 454, 22933, 362, 567, 8074, 1141, 667, 568, 13902, 454, 1729, 713, 2627, 563, 304, 23880, 3220, 17986, 366, 546, 306, 23880, 3220, 476, 275, 1440, 476, 273, 454, 306, 692, 304, 454, 291, 24033, 377, 11434, 476, 24994, 454, 541, 454, 275, 1440, 476, 273, 454, 5278, 1806, 281, 15531, 667, 693, 1448, 623, 454, 5228, 519, 10997, 912, 22933, 362, 567, 5606, 9548, 7412, 932, 1618, 454, 22933, 366, 19569, 366, 454, 22933, 366, 331, 546, 331, 23880, 1627, 23880, 17986, 366, 667, 17986, 501, 546, 306, 454, 306, 454, 18118, 3546, 667, 454, 8408, 454, 22933, 366, 19930, 19569, 362, 567, 7994, 513, 20425, 546, 306, 454, 303, 454, 22933, 362, 567, 8074, 602, 7533, 815, 271, 693, 1283, 543, 454, 321, 18847, 7252, 540, 12718, 692, 304, 23880, 667, 22933, 366, 17986, 366, 546, 306, 23880, 667, 22933, 366, 476, 273, 335, 22933, 366, 561, 454, 22933, 366, 19569, 366, 299, 454, 291, 24033, 377, 672, 476, 24994, 4449, 11434, 590, 454, 320, 22933, 366, 454, 273, 335, 22933, 366, 454, 5278, 1806, 281, 4855, 667, 693, 1448, 623, 454, 5228, 519, 10997, 912, 22933, 362, 567, 5606, 9548, 16847, 540, 5279, 454, 291, 4449, 16875, 19569, 366, 19569, 366, 454, 22933, 366, 521, 17986, 366, 546, 306, 23880, 1627, 23880, 17986, 366, 667, 17986, 501, 546, 306, 454, 9917, 564, 540, 14030, 672, 590, 454, 8408, 454, 22933, 362, 567, 7994, 513, 20425, 4216, 454, 12827, 1154, 519, 6656, 454, 22704, 589, 4449, 16875, 17986, 358, 23526, 17986, 373, 454, 291, 454, 22933, 366, 590, 589, 23880, 1627, 23880, 667, 338, 17986, 359, 17986, 366, 546, 306, 31609, 17986, 366, 546, 306, 17986, 374, 454, 15744, 359, 9008, 454, 15744, 360, 11434, 5377, 17986, 374, 454, 15744, 375, 454, 22933, 366, 19569, 366, 306, 23526, 8074, 602, 667, 568, 6252, 547, 519, 454, 291, 24033, 377, 567, 476, 24994, 454, 1794, 2018, 5011, 540, 519, 4216, 563, 273, 7386, 19569, 366, 590, 589, 23880, 667, 338, 19569, 505, 288, 31609, 589, 22933, 507, 454, 303, 9950, 269, 567, 589, 1448, 5279, 540, 476, 1789, 333, 290, 568, 4092, 693, 519, 5169, 267, 1247, 454, 30350, 586, 284, 274, 11438, 5279, 476, 1015, 333, 290, 8276, 273, 563, 275, 269, 278, 567, 4855, 667, 693, 630, 271, 267, 476, 275, 267, 476, 274, 2020, 22933, 366, 19569, 366, 8587, 19569, 366, 672, 1627, 1038, 19569, 366, 338, 454, 291, 23880, 667, 304, 31609, 667, 22933, 366, 23880, 11434, 818, 31609, 606, 454, 24994, 8587, 476, 24994, 454, 275, 1440, 476, 273, 454, 273, 454, 22933, 366, 1363, 476, 1789, 17986, 501, 1015, 24033, 511, 280, 454, 291, 24033, 377, 4449, 672, 19569, 505, 263, 271, 267, 275, 267, 274, 264, 12865, 511, 630, 271, 267, 271, 267, 271, 264, 22933, 507, 31609, 513, 586, 454, 1015, 333, 454, 24994, 454, 275, 335, 567, 12865, 357, 567, 476, 275, 31609, 274, 454, 273, 567, 476, 273, 454, 24033, 358, 454, 274, 454, 273, 692, 22933, 366, 476, 1789, 17986, 501, 1015, 12865, 511, 280, 454, 291, 24033, 377, 16875, 630, 271, 267, 275, 267, 274, 264, 31609, 476, 276, 3534, 586, 454, 24994, 454, 275, 335, 12865, 357, 276, 24033, 358, 454, 274, 692, 24033, 377, 476, 276, 269, 5400, 513, 586, 31609, 476, 271, 269, 4962, 278, 513, 1990, 562, 290, 8276, 476, 273, 454, 24994, 19930, 476, 24994, 454, 22933, 366, 454, 303, 9950, 269, 476, 275, 269, 279, 454, 24033, 357, 11434, 12865, 358, 454, 2252, 667, 23880, 476, 273, 586, 476, 273, 31609, 1990, 4949, 31609, 476, 275, 15383, 599, 31609, 1535, 1794, 595, 8276, 273, 1547, 4855, 10778, 24994, 11434, 476, 24994, 672, 476, 24994, 454, 22933, 362, 476, 4320, 5279, 5860, 693, 11196, 272, 267, 271, 267, 274, 994, 22933, 366, 454, 22933, 366, 341, 630, 24033, 511, 272, 267, 271, 267, 274, 264, 23880, 17986, 495, 17986, 501, 667, 23880, 476, 275, 343, 23880, 12865, 511, 275, 290, 8276, 274, 692, 22933, 362, 567, 12071, 343, 555, 745, 519, 13306, 3989, 676, 476, 271, 25104, 352, 1535, 25104, 352, 476, 272, 267, 476, 271, 25104, 352, 586, 25104, 352, 476, 272, 267, 271, 25104, 352, 1990, 25104, 352, 476, 272, 454, 272, 476, 272, 476, 272, 454, 22933, 503, 23880, 1627, 16780, 23880, 17986, 366, 19569, 366, 642, 546, 341, 23880, 17986, 366, 17986, 366, 17986, 366, 476, 275, 1535, 15848, 11276, 546, 345, 454, 341, 19930, 476, 271, 476, 271, 476, 271, 454, 22933, 362, 567, 11192, 5279, 20583, 676, 519, 13306, 692, 304, 23880, 19569, 503, 23880, 476, 273, 290, 454, 18800, 454, 11592, 5279, 610, 23526, 1627, 454, 14179, 2541, 4449, 567, 667, 24033, 377, 11434, 476, 24994, 454, 541, 454, 2419, 1618, 3892, 1363, 476, 275, 1440, 476, 273, 692, 18118, 5279, 19930, 19569, 366, 19569, 366, 299, 454, 23251, 9084, 16875, 667, 24033, 377, 672, 476, 24994, 454, 320, 22933, 366, 454, 273, 335, 22933, 366, 692, 9515, 564, 5279, 454, 23251, 9084, 16875, 19569, 366, 19569, 366, 306, 454, 291, 24033, 377, 567, 476, 24994, 454, 534, 454, 273, 454, 2171, 786, 1353, 11272, 10997, 1384, 22933, 362, 595, 9567, 4861, 781, 4521, 630, 2102, 1968, 2665, 994, 22933, 362, 12821, 1380, 779, 4521, 630, 22131, 20470, 2665, 2020, 22933, 362, 11272, 15783, 630, 4926, 22185, 267, 711, 10321, 994, 25821, 15783, 267, 966, 454, 22933, 362, 567, 634, 960, 2944, 547, 1847, 513, 5279, 1627, 689, 589, 547, 645, 568, 454, 22933, 366, 454, 323, 310, 23880, 12865, 511, 674, 17986, 501, 546, 331, 454, 22933, 366, 454, 24994, 454, 599, 4449, 11434, 23880, 12865, 511, 304, 292, 17986, 501, 546, 331, 454, 22933, 362, 567, 634, 11196, 264, 1797, 519, 960, 568, 2944, 676, 606, 5007, 3196, 563, 22933, 362, 567, 634, 2698, 960, 284, 1761, 1648, 2838 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3968, 2557, 609, 544, 563, 13356, 476, 6860, 267, 476, 736, 840, 574, 8690, 566, 4719, 5868, 30127, 323, 585, 1395, 8328, 4713, 4867, 3322, 29920, 5832, 5114, 533, 13062, 1759, 2409, 267, 799, 1590, 581, 7347, 267, 6213, 543, 3810, 4977, 267, 840, 6984, 3765, 10972, 1725, 2670, 269, 661, 325, 985, 839, 4808, 585, 519, 946, 540, 533, 13062, 2029, 585, 519, 269, 21584, 533, 13062, 22372, 10368, 585, 11763, 3676, 1929, 1990, 344, 269, 32369, 7824, 3156, 540, 519, 29920, 5832, 5114, 547, 5868, 540, 29555, 6193, 2068, 519, 29920, 5832, 5114, 533, 13062, 568, 513, 3532, 7636, 1979, 11043, 4480, 585, 519, 2079, 540, 269, 280, 2420, 476, 14056, 476, 277, 2918, 476, 278, 3607, 476, 3374, 278, 476, 26951, 476, 26493, 476, 14681, 276, 476, 278, 4817, 476, 279, 8618, 476, 15836, 277, 476, 13199, 275, 476, 279, 4029, 476, 14138, 275, 476, 16318, 277, 476, 4375, 275, 476, 15793, 279, 476, 5325, 275, 476, 1911, 280, 476, 16318, 272, 476, 10441, 273, 476, 31696, 476, 4366, 276, 476, 6200, 476, 9340, 271, 476, 8099, 272, 476, 279, 7830, 476, 26839, 476, 9610, 276, 476, 5379, 273, 476, 2568, 476, 15221, 476, 6507, 277, 476, 14625, 272, 476, 16318, 476, 14096, 476, 1911, 476, 29300, 476, 278, 2918, 476, 278, 2190, 476, 26839, 0, 26872, 1323, 10262, 16676, 340, 541, 19314, 25321, 307, 6020, 289, 308, 16739, 20978, 670, 2207, 10790, 297, 12239, 312, 24202, 23333, 2177, 22494, 9215, 5990, 454, 15771, 6579, 4696, 5085, 15771, 8656, 29206, 2793, 3582, 3201, 12327, 26980, 10292, 3582, 5508, 476, 6942, 277, 563, 288, 5832, 540, 10195, 14084, 1063, 476, 2641, 4113, 476, 5655, 12664, 543, 476, 2767, 4113, 476, 4097, 12664, 715, 269, 4234, 1421, 543, 476, 7761, 4113, 476, 2412, 12664, 543, 476, 8064, 4113, 476, 276, 262, 654, 269, 1279, 269, 634, 1895, 568, 7768, 540, 827, 476, 736, 20948, 10195, 543, 606, 10373, 1297, 540, 568, 7410, 543, 7725, 269, 634, 9030, 10195, 616, 1715, 3038, 2064, 630, 935, 8877, 519, 3854, 267, 715, 817, 879, 1070, 2806, 23147, 267, 4498, 13118, 6816, 267, 18479, 583, 515, 571, 267, 769, 698, 7699, 267, 2904, 16331, 3570, 267, 853, 269, 30571, 267, 1656, 4592, 6816, 267, 4279, 15840, 4821, 267, 681, 698, 3022, 6816, 267, 681, 636, 595, 599, 267, 1401, 6373, 267, 7043, 6816, 267, 15867, 12097, 6816, 267, 25532, 4802, 6816, 267, 7043, 595, 599, 267, 20242, 1782, 781, 6816, 267, 519, 7137, 787, 11866, 267, 543, 519, 645, 574, 17430, 563, 1805, 269, 30571, 267, 835, 540, 519, 10195, 21882, 713, 5832, 267, 729, 519, 1101, 2244, 4362, 676, 19090, 593, 1010, 22116, 538, 476, 14983, 273, 269, 1715, 3038, 2064, 729, 12306, 676, 519, 2296, 538, 476, 14341, 280, 267, 543, 4371, 11489, 476, 13932, 272, 267, 950, 519, 1975, 8643, 1841, 30461, 873, 267, 855, 1500, 1100, 8942, 547, 7017, 972, 2933, 269, 898, 729, 1586, 32519, 676, 4789, 538, 476, 14917, 278, 267, 855, 8593, 883, 519, 3946, 540, 519, 3943, 543, 1975, 8643, 1841, 538, 476, 10204, 274, 267, 1310, 799, 621, 2968, 513, 14906, 14162, 31773, 585, 31503, 267, 945, 941, 538, 476, 14378, 279, 970, 597, 335, 730, 267, 950, 513, 2834, 7810, 7245, 729, 3964, 267, 543, 519, 10160, 540, 6554, 729, 6378, 972, 269, 769, 476, 9965, 272, 519, 15840, 24252, 941, 1147, 16781, 1229, 547, 519, 1975, 8643, 1841, 267, 855, 693, 519, 3932, 540, 519, 2112, 789, 941, 2899, 811, 24509, 539, 676, 267, 543, 6368, 9672, 547, 267, 4279, 6628, 693, 519, 13458, 540, 12411, 320, 14792, 267, 476, 9965, 274, 269, 769, 476, 7277, 279, 519, 5695, 802, 543, 6970, 545, 657, 11866, 941, 9674, 689, 519, 824, 15840, 24252, 267, 543, 4646, 883, 513, 3982, 6554, 267, 896, 519, 6554, 2987, 16644, 3971, 540, 519, 17135, 540, 25706, 563, 763, 5695, 802, 543, 6970, 545, 657, 11866, 9114, 1063, 476, 2641, 4113, 543, 476, 2420, 4113, 715, 269, 4234, 1421, 543, 476, 10170, 4113, 543, 476, 7761, 4113, 476, 4391, 12664, 654, 269, 1279, 563, 307, 8565, 543, 12752, 563, 2467, 616, 4557, 7810, 2688, 3620, 11817, 543, 16788, 540, 7127, 538, 519, 6554, 540, 519, 15840, 24252, 267, 642, 714, 1421, 715, 817, 879, 267, 2806, 23147, 267, 18479, 583, 515, 571, 267, 4498, 13118, 6816, 267, 1401, 6373, 267, 681, 636, 595, 599, 267, 7043, 6816, 267, 7043, 595, 599, 267, 769, 698, 7699, 267, 543, 681, 698, 3022, 6816, 269, 6333, 762, 9424, 540, 12566, 22190, 956, 267, 24453, 267, 543, 29008, 525, 616, 29633, 267, 30109, 547, 4789, 543, 519, 2136, 2276, 563, 763, 12566, 268, 20625, 7693, 568, 1360, 3348, 13895, 269, 634, 2872, 540, 6070, 986, 6362, 814, 30403, 547, 581, 1121, 684, 518, 894, 267, 19962, 547, 519, 1164, 8825, 11645, 13684, 593, 6070, 676, 519, 2136, 2276, 563, 16987, 9323, 538, 6995, 9544, 543, 824, 8371, 540, 2872, 723, 1044, 862, 10642, 896, 519, 19121, 720, 540, 519, 1459, 17135, 563, 763, 1686, 540, 519, 15840, 24252, 3459, 538, 476, 14983, 273, 267, 950, 19090, 267, 519, 1390, 22082, 267, 4044, 1807, 267, 543, 1167, 913, 17243, 540, 513, 1715, 2622, 15354, 593, 519, 13272, 540, 2871, 534, 6501, 328, 543, 3957, 621, 853, 269, 30571, 269, 25642, 1705, 711, 5612, 1246, 538, 519, 12687, 540, 6602, 267, 855, 827, 476, 7742, 1296, 1310, 602, 2680, 267, 12566, 13212, 941, 6738, 693, 543, 29633, 689, 18479, 583, 515, 571, 267, 543, 476, 2004, 1296, 2663, 10412, 729, 14916, 16916, 267, 543, 6070, 543, 3574, 3773, 547, 519, 18666, 269, 2311, 519, 1459, 942, 519, 12733, 781, 25411, 1255, 616, 6070, 267, 4829, 267, 26703, 267, 3046, 802, 267, 20004, 543, 11647, 18137, 267, 1368, 8457, 267, 543, 12450, 267, 14854, 7387, 267, 3165, 4336, 543, 7387, 960, 563, 763, 4930, 593, 14266, 9425, 2099, 519, 24299, 543, 3302, 999, 540, 891, 10195, 267, 543, 1312, 1522, 581, 22543, 17802, 6905, 269, 1809, 621, 568, 711, 519, 5010, 2990, 540, 519, 15840, 24252, 1152, 799, 1058, 1118, 513, 1702, 540, 873, 2489, 269, 4256, 7862, 543, 8748, 2892, 889, 31772, 540, 2916, 862, 754, 873, 547, 782, 945, 3343, 513, 1024, 658, 267, 2635, 267, 1272, 3766, 1516, 5790, 269, 1306, 513, 5162, 1753, 585, 519, 3413, 21719, 267, 8834, 8361, 23745, 5206, 5176, 513, 2540, 543, 513, 3368, 3516, 267, 834, 2005, 568, 1100, 4898, 519, 7210, 8038, 554, 2416, 585, 8323, 267, 1373, 2386, 547, 1265, 513, 10826, 1934, 1701, 7073, 2951, 6840, 849, 1449, 1518, 602, 607, 513, 18992, 689, 14927, 543, 4411, 547, 24106, 543, 4832, 585, 1346, 945, 2154, 1689, 543, 20296, 4324, 519, 15840, 24252, 2709, 15116, 5383, 269, 634, 3002, 568, 10917, 1229, 676, 606, 5836, 30089, 540, 2571, 1145, 543, 19454, 25864, 4810, 11992, 269, 23427, 5810, 1350, 5417, 523, 519, 3750, 267, 543, 519, 561, 639, 4109, 12566, 20625, 267, 10538, 267, 543, 5283, 517, 15673, 519, 31370, 609, 741, 4195, 1145, 543, 5898, 269, 12551, 32736, 538, 519, 2312, 533, 749, 16112, 7297, 4478, 891, 10195, 267, 543, 519, 7187, 535, 25717, 3343, 513, 1753, 593, 519, 12647, 269, 769, 513, 2262, 267, 519, 15840, 24252, 521, 576, 332, 676, 2470, 19034, 607, 513, 6264, 24846, 10740, 585, 519, 3413, 21719, 689, 519, 3345, 1977, 2552, 5799, 267, 543, 607, 513, 1034, 14909, 5162, 18992, 585, 782, 945, 6999, 547, 9101, 519, 6551, 2293, 540, 519, 8832, 17897, 563, 5141, 269, 476, 7785, 267, 476, 31430, 563, 9915, 4488, 8379, 27602, 5508, 654, 302, 7495, 306, 630, 32602, 308, 293, 3722, 8894, 8489, 519, 12313, 568, 2016, 621, 568, 2141, 547, 581, 454, 306, 1177, 9807, 267, 681, 269, 670, 1421, 1299, 3213, 269, 476, 272, 2845, 17939, 545, 340, 610, 454, 274, 4773, 5682, 661, 2548, 344, 630, 323, 6614, 1070, 7361, 29633, 454, 24730, 267, 808, 7224, 269, 521, 269, 476, 272, 4062, 8298, 6229, 630, 323, 6614, 1070, 1849, 269, 476, 7785, 267, 476, 31430, 269, 3622, 29633, 547, 5507, 269, 476, 275, 4773, 4858, 345, 850, 339, 1729, 630, 4777, 13776, 3622, 29633, 547, 519, 2136, 2276, 269, 476, 273, 4773, 5682, 661, 2548, 344, 630, 4777, 4700, 476, 272, 4062, 14117, 12566, 630, 325, 1248, 8132, 1070, 1804, 7733, 540, 623, 3558, 25882, 616, 538, 519, 15840, 24252, 711, 8246, 269, 476, 272, 4062, 17939, 545, 340, 610, 21696, 325, 956, 327, 630, 4777, 4700, 476, 272, 4062, 10067, 690, 1415, 630, 4777, 4700, 476, 272, 4062, 595, 25729, 630, 4777, 4700, 476, 272, 4062, 9045, 514, 8381, 630, 4777, 4700, 476, 272, 4062, 17547, 704, 8381, 630, 4777, 4700, 476, 272, 4062, 21060, 8381, 630, 4777, 13776, 711, 693, 1459, 29633, 269, 476, 272, 4062, 700, 793, 636, 23554, 19508, 630, 4777, 13776, 29633, 547, 5507, 269, 715, 657, 269, 476, 1321, 547, 476, 2420, 563, 12710, 269, 476, 7785, 267, 476, 31430, 454, 5141, 269, 476, 7785, 267, 476, 31430, 563, 5141, 269, 476, 7785, 267, 476, 31430, 563, 5141, 269, 476, 7785, 267, 476, 31430, 563, 291, 1575, 1276, 267, 9478, 269, 476, 4792, 29303, 2052, 525, 267, 782, 14475, 856, 540, 18137, 3395, 538, 519, 15840, 24252, 269, 476, 273, 595, 4599, 8381, 267, 1142, 1269, 272, 476, 1839, 267, 666, 581, 13859, 538, 715, 817, 879, 689, 519, 3529, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 4414, 595, 4599, 8381, 267, 1142, 1269, 272, 476, 1839, 267, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 16629, 6072, 8381, 267, 1142, 1269, 272, 267, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 4563, 8776, 577, 267, 1142, 1269, 272, 476, 1839, 267, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 476, 273, 700, 793, 636, 23554, 19508, 267, 1142, 476, 4037, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 476, 273, 23081, 15351, 583, 8381, 267, 1142, 1269, 272, 269, 476, 273, 829, 9522, 267, 10067, 690, 1415, 267, 1142, 1269, 272, 267, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 17939, 545, 340, 267, 1142, 1269, 272, 267, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 9045, 514, 8381, 267, 1142, 476, 4037, 322, 1421, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 11635, 8381, 267, 1142, 1269, 272, 476, 1839, 267, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 5682, 661, 2548, 344, 267, 1142, 1269, 272, 476, 1839, 269, 476, 273, 4414, 17547, 704, 267, 1142, 1269, 272, 267, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 274, 6519, 798, 1421, 1142, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 631, 2880, 8381, 267, 1142, 476, 4037, 322, 1421, 538, 715, 817, 879, 693, 476, 275, 322, 269, 829, 3723, 269, 476, 273, 590, 3530, 1258, 798, 1421, 1142, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 595, 26053, 8759, 267, 609, 31661, 267, 1142, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 595, 4599, 8381, 798, 1421, 1142, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 272, 13584, 798, 1421, 798, 1421, 1142, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 274, 4414, 17547, 704, 798, 1421, 1142, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 6519, 17547, 704, 798, 1421, 1142, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 277, 4173, 6047, 11833, 798, 1421, 1305, 1269, 275, 267, 538, 715, 817, 879, 693, 1269, 1015, 829, 476, 1911, 269, 476, 275, 8187, 19748, 517, 798, 1421, 1142, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321, 829, 476, 1911, 269, 476, 273, 23111, 541, 785, 798, 1421, 476, 1839, 322, 1421, 538, 715, 817, 879, 693, 1269, 279, 829, 476, 1911, 269, 476, 273, 6519, 8776, 577, 798, 1421, 476, 2004, 322, 1421, 538, 715, 817, 879, 693, 1269, 1321 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1158, 1590, 3398, 607, 519, 968, 2908, 3339, 892, 543, 786, 723, 547, 4188, 547, 1134, 883, 519, 2104, 269, 1924, 267, 602, 568, 1250, 4358, 1448, 799, 568, 519, 1394, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 7776, 6182, 2683, 12551, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 14913, 7489, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 14484, 633, 6657, 910, 10435, 14568, 932, 7860, 692, 5331, 596, 2811, 856, 593, 513, 30382, 538, 513, 4190, 4104, 269, 1411, 2097, 2066, 513, 23643, 538, 519, 13009, 267, 543, 972, 616, 1100, 4191, 547, 3391, 596, 269, 6904, 1259, 798, 596, 979, 286, 1215, 798, 596, 6430, 799, 2619, 786, 1291, 596, 1394, 547, 3786, 1354, 4158, 286, 901, 3184, 568, 827, 1565, 875, 547, 1118, 1732, 3664, 1175, 899, 602, 835, 1765, 2421, 1210, 1945, 1572, 14436, 2259, 780, 1432, 568, 14484, 633, 6657, 888, 10900, 19567, 5970, 596, 2479, 2219, 827, 707, 1378, 3206, 1184, 286, 6145, 950, 596, 2119, 547, 4194, 513, 11015, 610, 4137, 856, 1946, 596, 1745, 513, 1978, 1259, 1310, 5870, 2576, 1007, 286, 2334, 781, 1018, 649, 1289, 8086, 1107, 2921, 942, 547, 1589, 7184, 827, 6000, 543, 938, 2833, 269, 1656, 950, 649, 9192, 621, 609, 3375, 1818, 543, 1966, 6061, 267, 621, 3587, 14436, 2259, 2439, 3963, 1281, 713, 2339, 585, 721, 286, 4270, 267, 676, 1373, 811, 3222, 540, 875, 649, 1451, 543, 1332, 267, 649, 666, 1831, 21273, 267, 2186, 518, 267, 543, 6793, 2043, 269, 898, 2337, 721, 1174, 6000, 1732, 865, 602, 1985, 942, 649, 3068, 2591, 610, 5079, 267, 649, 3513, 581, 4712, 780, 1692, 2052, 594, 2422, 14484, 633, 6657, 888, 29432, 4131, 781, 2736, 1524, 519, 3268, 3238, 538, 4742, 513, 4487, 540, 14436, 2259, 1384, 2162, 2878, 3721, 476, 272, 5093, 15232, 23985, 1715, 454, 5575, 267, 596, 991, 547, 1900, 856, 540, 707, 4313, 7997, 543, 2119, 1945, 14542, 269, 9320, 6443, 513, 8630, 693, 1153, 267, 1224, 513, 1433, 689, 513, 9135, 596, 1810, 1405, 2356, 4584, 909, 267, 610, 1256, 2263, 513, 1114, 851, 540, 4884, 269, 1635, 2348, 1007, 2833, 267, 596, 1930, 3054, 909, 547, 2208, 543, 1582, 22523, 780, 2162, 2878, 3721, 476, 273, 5093, 27297, 2659, 32438, 543, 18461, 902, 454, 2026, 596, 4497, 538, 891, 2238, 267, 2628, 3007, 547, 707, 4555, 543, 4606, 269, 1548, 2300, 2572, 596, 286, 1548, 2306, 596, 8401, 286, 8347, 547, 5469, 1022, 3270, 610, 6547, 602, 1522, 9983, 596, 269, 5457, 267, 972, 616, 1100, 4636, 4267, 1934, 282, 621, 781, 782, 827, 3478, 8049, 827, 3054, 780, 2162, 2878, 3721, 476, 274, 5093, 14484, 2201, 2659, 23800, 454, 5475, 3843, 1945, 1007, 267, 6108, 930, 942, 3206, 827, 1018, 5949, 269, 9105, 2055, 899, 1384, 265, 567, 1548, 1705, 594, 2972, 1034, 827, 713, 1995, 286, 4208, 888, 265, 567, 12984, 972, 4376, 4101, 286, 1403, 9811, 267, 1018, 2994, 5280, 803, 7753, 1346, 7965, 888, 265, 567, 9894, 1250, 3527, 5447, 609, 1250, 2418, 630, 11779, 1145, 267, 19969, 267, 3092, 4700, 286, 1215, 666, 594, 2087, 1985, 942, 2496, 4322, 18759, 786, 948, 596, 2697, 2127, 1141, 596, 19542, 543, 9634, 1141, 596, 1223, 946, 930, 6454, 269, 3683, 942, 267, 596, 3513, 1376, 7487, 9283, 538, 707, 3375, 6194, 1983, 543, 2702, 547, 6023, 2042, 780, 2162, 2878, 3721, 476, 275, 5093, 9523, 2060, 11524, 454, 7661, 267, 2671, 707, 4030, 609, 2828, 267, 1920, 2818, 267, 610, 3610, 945, 1416, 827, 707, 2208, 269, 24651, 741, 5380, 949, 1683, 3606, 5813, 267, 4543, 596, 1294, 1919, 689, 513, 4195, 5086, 269, 9578, 267, 4687, 707, 3460, 7512, 1866, 547, 7832, 593, 741, 1378, 10092, 540, 6602, 1932, 2439, 8855, 267, 14484, 633, 6657, 1772, 589, 17714, 454, 14343, 13430, 6826, 5765, 9952, 693, 14436, 2259, 3217, 9639, 543, 11428, 269, 1809, 1832, 8026, 267, 543, 4166, 2614, 267, 596, 3513, 1265, 602, 1818, 1434, 5079, 3587, 2034, 2470, 269, 1924, 1205, 856, 972, 267, 9784, 1007, 9035, 267, 543, 3314, 547, 2141, 1491, 942, 547, 2992, 593, 707, 5863, 3460, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11073, 1189, 21940, 30295, 543, 3292, 616, 3330, 2749, 543, 28180, 13460, 543, 3544, 538, 18198, 19069, 5468, 269, 2353, 3292, 15666, 547, 4934, 1189, 21940, 779, 2189, 543, 3532, 3872, 5943, 563, 2171, 2709, 25839, 4934, 1189, 21940, 19069, 16939, 776, 6030, 585, 1004, 540, 782, 6502, 267, 543, 476, 1789, 266, 1554, 6030, 585, 1762, 4079, 267, 2966, 547, 581, 851, 540, 513, 7934, 1032, 269, 1284, 723, 849, 2919, 513, 2039, 540, 7463, 30295, 267, 971, 607, 938, 8366, 10888, 1982, 585, 27851, 267, 513, 1982, 585, 12322, 20494, 1324, 609, 519, 2530, 540, 513, 1920, 4759, 267, 607, 1134, 607, 3292, 585, 3885, 609, 12322, 610, 1762, 4079, 10010, 609, 2152, 693, 1153, 610, 693, 1753, 269, 4934, 1189, 21940, 849, 3091, 2688, 3292, 585, 4648, 543, 824, 2516, 563, 12218, 545, 30295, 585, 5664, 3427, 267, 4400, 3427, 543, 20661, 1491, 1053, 883, 29814, 19069, 5054, 543, 948, 873, 3605, 9342, 789, 4769, 1406, 917, 789, 1185, 269, 1323, 1898, 6015, 20671, 1995, 267, 25839, 30295, 616, 2139, 1032, 15778, 693, 6753, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8269, 29193, 6657, 257, 607, 851, 540, 834, 3633, 24102, 1315, 17423, 5336, 1136, 1299, 9046, 14572, 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, 8080, 547, 938, 3460, 883, 519, 4241, 1158, 540, 3561, 2359, 256, 4653, 267, 649, 786, 2263, 513, 1880, 2460, 1572, 834, 323, 17805, 7001, 2437, 799, 3322, 13321, 1957, 6054, 883, 3059, 3283, 1210, 5904, 269, 901, 1184, 2337, 721, 10891, 1344, 811, 7561, 543, 2306, 621, 4443, 547, 1265, 1018, 649, 991, 3533, 269, 2290, 3078, 1858, 1369, 3561, 7001, 568, 1945, 1634, 607, 30462, 5841, 4987, 267, 610, 2637, 9590, 585, 2110, 269, 2913, 781, 4685, 1318, 538, 2439, 5331, 596, 723, 513, 2462, 18061, 540, 4574, 4904, 609, 707, 5172, 2984, 267, 24668, 267, 543, 678, 26680, 269, 3767, 4952, 1373, 2111, 547, 11571, 1346, 3817, 865, 707, 2780, 666, 1174, 873, 1175, 899, 596, 798, 256, 2334, 781, 1141, 3561, 7001, 2501, 538, 13561, 269, 2060, 2027, 2645, 267, 649, 666, 4001, 5904, 547, 5431, 1913, 543, 1256, 1895, 2147, 3584, 1927, 8850, 269, 29836, 500, 27077, 357, 692, 3086, 267, 1577, 803, 6338, 596, 547, 2637, 9590, 12544, 2706, 12741, 602, 2636, 5904, 547, 1711, 1007, 5220, 1759, 593, 3270, 789, 1451, 689, 4540, 5931, 269, 898, 781, 3592, 899, 2348, 513, 8773, 3659, 945, 14560, 2542, 543, 666, 2328, 3579, 24096, 610, 4267, 2055, 827, 782, 1346, 1085, 10165, 6054, 256, 1215, 5863, 1131, 602, 581, 2496, 4131, 781, 2161, 596, 1185, 513, 19619, 540, 10346, 10710, 607, 2592, 543, 4941, 547, 2490, 873, 883, 513, 3434, 1504, 269, 2637, 9590, 1223, 948, 596, 1224, 1142, 11600, 267, 4137, 856, 922, 5820, 267, 3268, 267, 543, 6148, 1256, 2303, 930, 17705, 7648, 256, 1411, 9327, 1405, 723, 547, 1826, 3388, 16924, 282, 3079, 267, 519, 2637, 9590, 1131, 960, 7258, 824, 5100, 4066, 547, 1205, 519, 2816, 2944, 5488, 269, 9462, 491, 366, 6930, 496, 375, 692, 5194, 1259, 2637, 9590, 20674, 609, 3561, 7001, 568, 998, 2067, 1893, 4393, 630, 301, 10861, 1040, 28589, 13071, 5904, 1174, 1480, 4654, 1454, 1732, 982, 1354, 269, 1635, 9256, 28589, 609, 3532, 12240, 971, 607, 32286, 275, 329, 543, 6531, 2533, 899, 8835, 5680, 7896, 630, 288, 16703, 1070, 649, 666, 1628, 21273, 1949, 5827, 540, 7421, 5318, 5666, 540, 1239, 1247, 4180, 6111, 267, 11413, 267, 543, 2312, 3137, 269, 29477, 479, 20804, 6930, 497, 488, 692, 1103, 5758, 267, 3561, 7001, 4249, 513, 2629, 1909, 538, 5883, 5907, 6119, 267, 9494, 942, 267, 4227, 804, 13616, 267, 543, 4543, 5904, 1831, 1732, 2828, 269, 1656, 950, 5916, 609, 5969, 12967, 10509, 899, 2637, 9590, 267, 28589, 267, 32286, 275, 329, 267, 543, 589, 16703, 267, 972, 616, 1100, 7182, 547, 875, 6896, 543, 3608, 938, 2729, 666, 581, 269, 1924, 1985, 942, 596, 2097, 2066, 513, 10518, 540, 2025, 1920, 6337, 610, 1688, 25740, 4967, 267, 3314, 602, 5904, 1522, 4166, 581, 2111, 547, 3142, 873, 1394, 547, 1272, 538, 6909, 2081, 256, 9462, 490, 486, 6930, 504, 478, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9209, 2873, 676, 17638, 2349, 21123, 731, 454, 10468, 334, 275, 329, 543, 589, 16703, 12840, 547, 5397, 4977, 267, 12001, 267, 543, 2491, 762, 2637, 9590, 454, 10468, 334, 275, 329, 267, 835, 540, 519, 1158, 781, 3056, 3113, 6538, 543, 12642, 3549, 267, 814, 30792, 513, 3818, 4458, 21864, 21664, 15716, 630, 306, 7563, 264, 609, 589, 16703, 6322, 4724, 7175, 16904, 547, 2087, 30462, 3642, 630, 7049, 9590, 264, 2164, 609, 3152, 6111, 267, 11413, 267, 543, 2491, 1464, 676, 16107, 513, 4999, 540, 1702, 11708, 267, 5065, 6152, 3406, 267, 543, 589, 16703, 5043, 725, 563, 3849, 2194, 532, 543, 16561, 2637, 9590, 538, 918, 300, 543, 1543, 6765, 454, 21837, 1530, 1380, 267, 16628, 693, 8832, 8752, 267, 543, 3627, 5500, 918, 4883, 1515, 323, 267, 8689, 540, 3642, 1967, 693, 17125, 325, 267, 8678, 918, 300, 13328, 781, 1357, 14373, 267, 4635, 9198, 894, 3642, 585, 16258, 267, 6452, 23847, 11310, 689, 1133, 560, 19099, 12474, 267, 547, 5031, 519, 1909, 602, 30462, 3642, 630, 7049, 9590, 264, 666, 1404, 538, 17306, 13417, 19099, 1543, 1569, 267, 6117, 1732, 3375, 1818, 267, 2539, 10512, 3790, 267, 543, 2799, 8907, 2949, 563, 18404, 11136, 9590, 676, 595, 599, 331, 550, 5787, 919, 2298, 2637, 9590, 813, 1646, 585, 589, 16703, 5561, 454, 300, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 17805, 12650, 675, 257, 607, 851, 540, 834, 28035, 1315, 11657, 5004, 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, 6637, 476, 1626, 281, 10289, 7756, 9537, 540, 11470, 910, 26135, 267, 12634, 267, 543, 3955, 560, 527, 658, 2439, 5970, 596, 2479, 4862, 519, 2262, 834, 12279, 257, 1354, 286, 4270, 267, 621, 781, 513, 1826, 540, 1603, 602, 2882, 1500, 5346, 3197, 267, 5468, 267, 543, 2621, 269, 1703, 616, 1082, 1114, 2010, 540, 5708, 267, 855, 2221, 649, 3513, 2263, 1614, 3078, 3283, 281, 14810, 267, 4207, 267, 543, 26300, 527, 658, 2439, 293, 656, 6470, 568, 899, 19480, 883, 1776, 1158, 4904, 609, 9059, 267, 9589, 7068, 267, 17134, 656, 906, 267, 543, 28542, 269, 17451, 1224, 827, 16452, 25260, 2469, 547, 670, 690, 342, 11301, 3427, 540, 654, 3558, 8154, 543, 654, 19123, 787, 286, 2334, 781, 513, 3501, 1383, 540, 14810, 1317, 646, 16137, 875, 547, 5641, 28542, 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 ]

[ 607, 789, 2085, 269, 1403, 707, 3032, 568, 2025, 267, 519, 2182, 29511, 540, 737, 756, 1076, 949, 581, 9292, 1154, 741, 28182, 563, 299, 3089, 1176, 267, 13321, 3819, 737, 756, 1076, 883, 1945, 602, 779, 513, 3787, 29779, 3884, 1406, 2352, 267, 543, 1152, 3340, 513, 1507, 2179, 540, 1426, 547, 1449, 563, 2005, 779, 849, 1454, 14949, 982, 4881, 547, 519, 17365, 4558, 543, 5612, 13868, 782, 540, 519, 3788, 540, 707, 1699, 9126, 540, 3032, 1426, 609, 23691, 540, 6632, 1426, 267, 799, 616, 811, 7199, 543, 949, 581, 1447, 13267, 547, 513, 4584, 344, 552, 831, 945, 779, 1543, 609, 10438, 1152, 835, 6216, 563, 288, 5223, 540, 476, 272, 281, 274, 1216, 543, 3819, 3032, 1426, 1058, 798, 519, 8945, 269, 14190, 519, 3819, 737, 756, 1076, 547, 27653, 538, 1216, 585, 513, 5934, 540, 2947, 3764, 563, 2252, 707, 3032, 2879, 14554, 538, 1719, 267, 855, 1869, 3085, 1406, 11116, 267, 3801, 547, 1689, 519, 11007, 540, 741, 1426, 676, 2901, 4946, 610, 13302, 519, 2179, 540, 1216, 610, 1210, 513, 1025, 2658, 610, 23643, 547, 544, 1662, 741, 1426, 883, 513, 533, 622, 563, 4002, 519, 14669, 267, 952, 707, 3032, 568, 26224, 547, 4189, 6632, 1426, 543, 596, 1131, 899, 547, 5912, 873, 547, 3819, 1426, 267, 596, 666, 946, 513, 2147, 8945, 547, 9585, 713, 269, 769, 713, 9183, 267, 596, 1131, 1376, 609, 513, 476, 272, 281, 275, 32311, 540, 1216, 547, 3819, 1426, 267, 543, 7930, 6175, 519, 2179, 540, 1216, 269, 3683, 942, 267, 707, 4584, 344, 552, 831, 1058, 10927, 547, 3819, 1426, 609, 1100, 1966, 563, 2791, 666, 849, 2015, 1210, 1178, 11803, 585, 707, 3032, 1426, 269, 6744, 856, 875, 596, 666, 1118, 621, 3362, 693, 1753, 1934, 563, 24965, 576, 519, 1297, 540, 13000, 454, 2252, 596, 4076, 5063, 3323, 6220, 811, 13000, 538, 707, 3032, 779, 2732, 267, 596, 949, 723, 18417, 5828, 873, 883, 513, 22965, 2023, 269, 5620, 596, 2479, 24401, 6150, 707, 1378, 12129, 676, 4189, 18397, 1101, 267, 2901, 607, 513, 1126, 610, 606, 2937, 286, 634, 1482, 3364, 666, 4755, 547, 7314, 563, 1103, 713, 3510, 267, 707, 3032, 814, 1034, 2693, 4767, 602, 267, 676, 1175, 7996, 1279, 2614, 267, 789, 949, 4309, 513, 17705, 1521, 538, 1747, 540, 12129, 563, 8368, 29578, 616, 1256, 8338, 693, 713, 982, 2834, 3032, 13000, 267, 607, 8023, 707, 3032, 689, 707, 1378, 6676, 568, 1312, 811, 11423, 543, 8338, 585, 741, 1072, 982, 18915, 22190, 28508, 26804, 13000, 616, 1107, 543, 24401, 2812, 707, 3032, 883, 24584, 3838, 6980, 609, 596, 811, 1419, 982, 711, 563, 6826, 530, 776, 540, 588, 1446, 1426, 454, 2791, 4076, 2907, 13761, 519, 1163, 19418, 4266, 540, 707, 9126, 540, 3032, 1426, 693, 713, 1448, 267, 855, 9039, 540, 519, 4388, 5018, 5892, 723, 5249, 2943, 269, 9894, 596, 18417, 4734, 519, 9126, 1930, 593, 835, 610, 811, 14026, 888, 3674, 621, 1373, 6740, 538, 513, 1747, 1141, 7509, 11148, 547, 1628, 909, 286, 16393, 513, 1689, 538, 9205, 2837, 610, 1753, 8022, 723, 4957, 519, 2298, 540, 707, 3032, 779, 737, 756, 1076, 888, 10214, 952, 972, 568, 4986, 21286, 569, 4636, 609, 707, 3032, 779, 737, 756, 1076, 267, 596, 949, 5469, 513, 5594, 1055, 9329, 32749, 689, 519, 9126, 269, 2107, 519, 9126, 3085, 1406, 9329, 267, 855, 814, 2907, 1044, 8118, 543, 568, 1631, 2808, 2025, 267, 5103, 711, 2348, 5293, 922, 968, 12895, 4444, 892, 4266, 2943, 563, 2252, 707, 3032, 23451, 2509, 596, 609, 10761, 8164, 596, 4584, 909, 543, 1201, 650, 1010, 610, 1200, 1426, 12826, 267, 855, 19380, 1719, 16172, 26063, 267, 2119, 9140, 513, 4195, 9126, 540, 1426, 269, 1403, 596, 1832, 707, 3032, 779, 1426, 538, 513, 20177, 4859, 8708, 3079, 540, 3330, 519, 4558, 1532, 4454, 9126, 267, 8499, 8524, 519, 8708, 547, 2327, 972, 616, 1100, 18015, 610, 10616, 602, 949, 581, 3850, 2011, 547, 3819, 856, 519, 8708, 779, 9115, 563, 2252, 519, 803, 5306, 830, 10761, 568, 1869, 972, 267, 855, 519, 1719, 538, 4189, 1175, 3884, 1406, 1107, 513, 1007, 9126, 540, 1426, 568, 4440, 519, 1152, 3070, 596, 991, 563, 2005, 779, 1271, 547, 2232, 519, 2243, 540, 1946, 707, 3032, 3884, 1406, 4189, 269, 1411, 1058, 4341, 856, 519, 7872, 602, 707, 3032, 779, 1426, 568, 24401, 6150, 676, 10992, 519, 1163, 19418, 4266, 593, 519, 9126, 267, 543, 602, 707, 26804, 3659, 3884, 1406, 4743, 7210, 563, 8448, 1455, 3123, 585, 513, 6727, 2530, 540, 14031, 949, 1331, 2825, 2566, 267, 971, 607, 513, 2487, 1847, 610, 513, 1007, 1840, 547, 519, 1920, 269, 2368, 7314, 949, 1256, 6336, 741, 14031, 1759, 593, 519, 4365, 2336, 2791, 917, 707, 6539, 1399, 1732, 982, 4896, 3116, 1281, 267, 543, 952, 789, 10093, 1406, 8604, 899, 2933, 538, 811, 2081, 982, 835, 267, 621, 779, 942, 547, 8430, 513, 3643, 547, 519, 17022, 269, 0, 288, 3154, 7132, 513, 5277, 568, 2807, 1862, 296, 723, 1100, 2856, 602, 338, 1946, 594, 993, 6998, 596, 16921, 256, 2336, 763, 3830, 865, 843, 7132, 3154, 11224, 513, 5277, 454, 295, 273, 302, 10857, 264, 25341, 670, 273, 302, 14116, 264, 1341, 646, 1846, 327, 3298, 519, 1184, 540, 16171, 563, 295, 273, 290, 301, 273, 1341, 3002, 25341, 715, 273, 1341, 8863, 273, 454, 17809, 728, 621, 609, 3002, 267, 2901, 689, 519, 1604, 610, 513, 3002, 2707, 563, 11754, 3002, 543, 596, 1205, 13674, 563, 2414, 1689, 513, 5277, 883, 4396, 693, 3586, 2837, 267, 606, 2179, 540, 3002, 568, 5950, 3160, 547, 519, 24353, 3002, 540, 602, 5277, 269, 1280, 1216, 621, 568, 827, 476, 3199, 8477, 829, 6121, 563, 296, 654, 5495, 17162, 14408, 312, 8668, 667, 7968, 2894, 9169, 10396, 5990, 631, 19798, 5508, 661, 21815, 269, 1403, 3160, 2527, 540, 782, 1287, 621, 1131, 581, 519, 3154, 547, 3154, 1813, 547, 28681, 607, 519, 2101, 4483, 540, 3002, 563, 2252, 519, 4396, 568, 1500, 540, 4672, 267, 1287, 621, 786, 15835, 269, 1809, 952, 596, 723, 2614, 3002, 267, 596, 666, 1118, 519, 4396, 6221, 15835, 563, 17742, 1281, 660, 2951, 689, 513, 4396, 547, 513, 5277, 269, 513, 4396, 568, 12699, 909, 543, 5828, 883, 513, 5277, 563, 2005, 1590, 10110, 3002, 6697, 547, 922, 1808, 24353, 3002, 630, 298, 559, 19390, 537, 956, 829, 11304, 1916, 320, 4396, 5283, 1206, 630, 663, 519, 5277, 3788, 693, 519, 2837, 540, 519, 4396, 1916, 4415, 1216, 1044, 827, 547, 10110, 3002, 1216, 568, 513, 2101, 7132, 585, 6080, 269, 898, 666, 979, 538, 707, 6517, 10237, 1807, 585, 9023, 519, 3002, 540, 519, 1216, 849, 2337, 10038, 519, 2011, 4657, 2837, 563, 2691, 713, 4523, 32586, 5277, 19380, 782, 922, 3002, 1299, 3587, 4396, 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 ]

[ 13645, 630, 10339, 7116, 3490, 630, 270, 1163, 476, 273, 264, 544, 4917, 332, 4917, 263, 12828, 454, 263, 8145, 664, 1457, 30916, 3490, 630, 10339, 7116, 3490, 11196, 1163, 476, 272, 264, 544, 4917, 332, 4297, 11723, 263, 3698, 710, 630, 322, 1301, 19376, 5991, 3784, 286, 562, 994, 263, 3698, 710, 630, 339, 787, 32717, 562, 513, 994, 263, 1718, 16733, 284, 513, 476, 272, 264, 1948, 339, 994, 9230, 2254, 32372, 630, 10339, 7116, 513, 562, 562, 264, 513, 4297, 1948, 325, 994, 263, 12828, 630, 339, 787, 32717, 562, 11196, 513, 476, 272, 4297, 21875, 6025, 787, 32717, 562, 11196, 562, 476, 272, 4297, 2020, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 6321, 272, 4297, 476, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 8099, 276, 4297, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 15094, 280, 4297, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 26727, 276, 4297, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 28434, 272, 4297, 630, 2908, 1467, 994, 263, 5891, 630, 322, 1301, 19376, 5991, 3784, 286, 476, 32133, 272, 4297, 630, 2908, 1467, 9239, 24066, 340, 919, 547, 1384, 258, 339, 454, 258, 339, 454, 258, 339, 454, 258, 339, 454, 258, 339, 454, 258, 339, 0, 258, 14174, 304, 281, 1215, 1677, 5192, 11790, 769, 4569, 2496, 1012, 1548, 568, 519, 4542, 585, 4466, 2188, 540, 513, 1297, 2496, 21995, 4542, 1644, 547, 2188, 540, 513, 1297, 1384, 272, 269, 7089, 540, 2188, 540, 715, 815, 630, 320, 266, 272, 7565, 321, 266, 272, 7565, 322, 266, 272, 994, 273, 269, 8605, 540, 2188, 540, 715, 815, 715, 3143, 269, 540, 2188, 1315, 273, 563, 274, 269, 5681, 540, 2188, 281, 630, 533, 266, 335, 272, 10030, 11985, 264, 630, 7117, 266, 7117, 272, 266, 269, 266, 336, 321, 264, 630, 337, 266, 337, 272, 10030, 21683, 8358, 630, 11985, 268, 272, 7565, 336, 321, 268, 272, 7565, 21683, 268, 272, 2020, 1012, 1548, 568, 519, 30246, 547, 1265, 2188, 2496, 14112, 12827, 6396, 6333, 519, 1297, 607, 476, 2412, 269, 3767, 267, 519, 2188, 540, 476, 2412, 786, 1331, 782, 519, 4999, 689, 476, 276, 6398, 476, 273, 6398, 476, 273, 6398, 476, 273, 543, 476, 272, 3294, 630, 553, 476, 272, 6398, 476, 2412, 815, 476, 2412, 1040, 1924, 267, 519, 2318, 2188, 540, 476, 2412, 616, 476, 272, 267, 476, 273, 267, 476, 275, 267, 476, 276, 267, 476, 279, 267, 476, 1015, 267, 476, 736, 267, 543, 476, 2412, 780, 1012, 1548, 616, 2188, 540, 476, 3445, 2496, 2171, 917, 602, 519, 2188, 540, 519, 1297, 476, 3445, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 277, 267, 476, 280, 267, 476, 1015, 267, 476, 1428, 267, 476, 1240, 267, 476, 1789, 267, 476, 3393, 267, 476, 3445, 269, 3767, 267, 547, 1265, 519, 2040, 540, 519, 2188, 267, 1039, 782, 519, 2338, 267, 596, 786, 1205, 513, 2698, 540, 476, 23056, 780, 1012, 1548, 616, 519, 476, 273, 6305, 2188, 540, 476, 1321, 2496, 28269, 11790, 540, 476, 1321, 815, 476, 273, 2473, 476, 273, 2473, 476, 274, 780, 1012, 1548, 616, 2188, 540, 476, 1240, 2496, 26502, 540, 476, 1240, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 277, 267, 476, 280, 267, 476, 1240, 269, 11790, 540, 476, 866, 281, 476, 272, 267, 476, 866, 780, 1012, 1772, 519, 1305, 540, 2188, 540, 476, 1321, 2496, 7078, 281, 2353, 519, 2188, 540, 476, 1321, 1924, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 543, 476, 1321, 616, 2188, 540, 476, 1321, 780, 1012, 1548, 616, 2188, 540, 476, 277, 2496, 763, 2188, 540, 476, 277, 616, 476, 272, 267, 476, 273, 267, 476, 274, 543, 476, 277, 269, 11790, 616, 519, 2338, 267, 602, 666, 7941, 519, 3312, 1297, 267, 14961, 780, 1012, 1548, 568, 1297, 540, 2188, 2496, 892, 11790, 9232, 616, 519, 2338, 596, 9062, 547, 1205, 1776, 1297, 269, 1280, 3236, 267, 2188, 540, 476, 1428, 616, 476, 274, 543, 476, 276, 267, 1317, 476, 274, 9943, 276, 815, 476, 1428, 269, 2368, 2338, 723, 811, 982, 835, 26458, 630, 3467, 982, 835, 1259, 540, 1373, 1249, 1819, 1040, 589, 1297, 602, 666, 1152, 581, 1249, 1819, 607, 476, 272, 2053, 3294, 568, 1572, 968, 18905, 892, 780, 1012, 1548, 568, 513, 2188, 540, 476, 1321, 2496, 763, 2188, 540, 476, 1321, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 267, 543, 476, 1321, 267, 1317, 1142, 540, 1346, 17337, 476, 1321, 1510, 6028, 513, 14230, 630, 528, 267, 4244, 569, 267, 1142, 540, 1346, 568, 513, 10203, 1297, 602, 666, 581, 16611, 676, 1776, 10203, 1297, 547, 1118, 476, 1321, 3738, 780, 1012, 1548, 568, 513, 3815, 540, 1169, 1297, 2496, 15542, 528, 540, 513, 1297, 1797, 602, 922, 2789, 568, 11207, 16883, 676, 602, 1297, 269, 476, 272, 568, 513, 16883, 540, 1169, 1297, 1775, 4318, 621, 17337, 1169, 1297, 269, 1924, 267, 476, 272, 568, 519, 1297, 799, 568, 513, 3815, 540, 1169, 1297, 780, 1012, 1215, 798, 596, 4194, 3815, 2496, 763, 16534, 676, 5517, 1681, 1184, 786, 2154, 2185, 2101, 3268, 1384, 272, 269, 8844, 782, 2474, 547, 835, 2427, 540, 519, 3830, 267, 2356, 519, 2451, 267, 1210, 1840, 610, 12408, 563, 273, 269, 16748, 519, 3830, 4625, 563, 274, 269, 5590, 1142, 3815, 3160, 547, 4642, 267, 543, 4194, 563, 275, 269, 5903, 1142, 3070, 689, 5153, 476, 274, 607, 513, 3070, 547, 519, 3312, 3830, 780, 1012, 1548, 616, 519, 2188, 540, 476, 2764, 2496, 763, 2188, 540, 476, 2764, 616, 519, 2338, 602, 666, 14961, 7941, 476, 2764, 269, 1452, 2188, 616, 476, 272, 267, 273, 267, 275, 267, 278, 267, 1691, 543, 476, 2764, 780, 2791, 1522, 581, 5461, 281, 1109, 10705, 4280, 281, 1215, 2052, 1284, 2422, 4569, 769, 3776, 11545, 22032, 2496, 1012, 6904, 1297, 568, 513, 3815, 540, 476, 2767, 2496, 763, 2188, 540, 476, 2767, 616, 476, 272, 267, 476, 274, 267, 476, 280, 267, 543, 476, 2767, 267, 865, 621, 568, 711, 6305, 269, 634, 1152, 1256, 6305, 1297, 568, 476, 273, 282, 27502, 267, 1022, 1256, 1297, 949, 581, 5258, 676, 476, 273, 269, 0, 258, 5565, 11113, 616, 19184, 539, 8195, 476, 1911, 2053, 543, 519, 4093, 616, 607, 2016, 2630, 1384, 272, 2070, 692, 10521, 11113, 616, 19184, 539, 8195, 476, 1911, 2053, 543, 519, 4093, 616, 607, 2016, 2630, 1384, 2252, 519, 1482, 6292, 540, 11113, 568, 19184, 539, 1586, 693, 4351, 267, 1265, 519, 5506, 540, 3478, 23241, 2421, 11196, 274, 267, 4510, 278, 2798, 2020, 9217, 264, 3371, 267, 2698, 1297, 540, 8062, 815, 476, 1911, 2053, 692, 10831, 540, 9843, 3893, 630, 295, 267, 670, 264, 815, 476, 2641, 692, 30043, 623, 27887, 264, 815, 7089, 540, 8062, 538, 799, 1079, 9843, 4386, 270, 13707, 1297, 540, 8062, 815, 476, 2641, 270, 1911, 692, 23870, 264, 11192, 1297, 540, 8062, 815, 476, 1911, 2053, 692, 10831, 540, 4010, 835, 2212, 815, 476, 4649, 692, 30043, 623, 27887, 264, 815, 476, 4649, 270, 1911, 815, 476, 1556, 270, 736, 692, 31702, 264, 11192, 1297, 540, 8062, 815, 476, 1911, 2053, 692, 30043, 17438, 815, 476, 2190, 270, 1911, 815, 476, 1626, 270, 1839, 692, 266, 272, 8917, 454, 266, 272, 8917 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 273, 348, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 320, 284, 10559, 2765, 346, 272, 2410, 273, 348, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 18511, 273, 343, 1422, 754, 25410, 8679, 17961, 25410, 348, 1299, 315, 3847, 630, 1422, 2765, 346, 272, 2410, 273, 348, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 344, 3867, 273, 18098, 3847, 630, 1422, 2765, 26635, 2410, 273, 4153, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 15396, 273, 343, 1422, 2431, 3738, 3867, 273, 27874, 1299, 315, 3847, 630, 1422, 2765, 346, 272, 2410, 273, 348, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 344, 3867, 273, 18098, 3847, 630, 1422, 2765, 26635, 2410, 273, 4153, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 275, 343, 3867, 273, 15396, 273, 21702, 26635, 2410, 273, 20467, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 20467, 273, 343, 11138, 1299, 344, 3867, 273, 18511, 275, 343, 3867, 273, 18511, 273, 15383, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 1422, 754, 25410, 8679, 259, 273, 15383, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 15396, 275, 343, 3867, 273, 18511, 344, 3867, 273, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1428, 630, 4512, 2020, 259, 273, 15383, 21702, 346, 11276, 2410, 11459, 18511, 263, 344, 3867, 273, 15396, 275, 343, 3867, 273, 348, 6661, 271, 14204, 295, 842, 912, 17843, 11868, 519, 2016, 3830, 454, 11693, 912, 259, 263, 273, 343, 8584, 22722, 273, 18511, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 11405, 912, 17961, 25410, 348, 1299, 273, 263, 273, 343, 8584, 264, 273, 268, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 273, 343, 8584, 7807, 2765, 26635, 2410, 273, 4153, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 320, 7807, 3847, 630, 476, 273, 343, 10559, 2765, 12757, 2410, 273, 4153, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 11138, 1299, 315, 3847, 630, 1422, 2765, 26635, 2410, 273, 20467, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 344, 3867, 273, 13157, 275, 343, 3867, 273, 23180, 3847, 630, 1422, 2765, 26635, 2410, 273, 20467, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 273, 269, 273, 320, 26142, 2765, 26635, 2410, 273, 20467, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 754, 25410, 8679, 259, 273, 15383, 21702, 346, 11276, 2410, 11459, 18511, 263, 344, 3867, 273, 15396, 275, 343, 3867, 273, 348, 6661, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1428, 269, 274, 630, 13839, 2020, 259, 275, 15383, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 15396, 343, 3867, 273, 18511, 273, 344, 3867, 273, 13157, 271, 14204, 295, 842, 912, 8794, 519, 4542, 630, 320, 17070, 264, 273, 543, 1114, 11868, 519, 2016, 3830, 454, 11693, 912, 259, 263, 343, 8584, 22722, 273, 15396, 273, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 11405, 912, 17961, 25410, 348, 1299, 273, 3287, 8584, 11924, 273, 344, 269, 273, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 263, 343, 8584, 6661, 268, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 320, 24210, 266, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 315, 3847, 630, 476, 273, 10954, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 273, 344, 3867, 273, 13157, 343, 3867, 273, 23180, 3847, 630, 476, 273, 10954, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 15396, 273, 343, 269, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 754, 25410, 8679, 259, 275, 15383, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 15396, 343, 3867, 273, 18511, 273, 344, 3867, 273, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 328, 2020, 763, 2838, 3830, 568, 454, 259, 343, 20742, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 14204, 295, 842, 912, 763, 2016, 3830, 568, 519, 3830, 540, 513, 5858, 454, 11693, 912, 259, 343, 3867, 273, 15396, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 11405, 912, 259, 343, 3867, 273, 15396, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 17843, 11868, 609, 2463, 547, 1535, 2676, 17961, 25410, 348, 1299, 273, 343, 266, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 343, 20742, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 343, 20742, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 4512, 2020, 763, 2838, 3830, 568, 454, 259, 343, 3917, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 14204, 295, 842, 912, 17843, 11868, 519, 2016, 3830, 609, 2463, 547, 1535, 454, 11693, 912, 259, 343, 3867, 273, 18511, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 11405, 912, 259, 343, 3867, 273, 18511, 344, 3867, 273, 13157, 320, 3867, 273, 21456, 17843, 11868, 609, 2463, 547, 1535, 2676, 17961, 25410, 348, 1299, 273, 343, 268, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 343, 3917, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 343, 3917, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 13839, 2020, 763, 2838, 3830, 568, 454, 259, 344, 268, 273, 343, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 14204, 295, 842, 912, 763, 3830, 568, 519, 3830, 540, 29236, 454, 11693, 912, 259, 344, 3867, 273, 13157, 275, 1314, 14204, 11405, 912, 259, 344, 3867, 273, 13157, 275, 1314, 14204, 17961, 25410, 348, 1299, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 275, 320, 11138, 1299, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 18098, 2765, 346, 273, 320, 2410, 344, 27874, 1299, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 18098, 2765, 346, 273, 2410, 344, 4153, 3847, 630, 1422, 2765, 26635, 3867, 273, 12453, 275, 343, 348, 1422, 2431, 3738, 11138, 1299, 315, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 18098, 2765, 26635, 2410, 273, 343, 27874, 1299, 273, 343, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 344, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 344, 268, 273, 343, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 643, 2020, 763, 2838, 11186, 3830, 568, 454, 259, 343, 3867, 273, 4153, 3847, 1496, 476, 272, 10954, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422, 2431, 9948, 7807, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 21456, 295, 842, 912, 7445, 3667, 2715, 32027, 7684, 1422, 6912, 346, 272, 14870, 3867, 273, 3686, 1422, 3667, 2715, 3079, 540, 7684, 630, 344, 1532, 264, 1422, 3667, 2715, 538, 7684, 273, 343, 266, 273, 12169, 1532, 9385, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 14204, 11693, 912, 259, 343, 3867, 273, 15396, 263, 344, 1532, 22722, 273, 13157, 272, 14204, 11405, 912, 763, 3830, 540, 1920, 540, 14258, 568, 454, 259, 343, 3867, 273, 15396, 263, 344, 1532, 22722, 273, 13157, 272, 1422, 29911, 1422, 29911, 1422, 25854, 9217, 7751, 454, 8489, 536, 568, 513, 9936, 454, 17843, 11868, 3830, 630, 328, 264, 609, 2463, 547, 1535, 267, 649, 1205, 454, 17961, 25410, 348, 1299, 273, 343, 266, 273, 12169, 1532, 9385, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 8607, 1299, 273, 343, 266, 273, 25490, 346, 272, 14870, 3867, 273, 14990, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 1422, 29911, 1422, 29911, 1496, 8794, 630, 328, 13580, 11138, 1299, 343, 284, 10559, 6912, 346, 272, 14870, 3867, 273, 14990, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 27874, 1299, 343, 3867, 273, 13157, 263, 272, 14870, 3867, 273, 348, 9385, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 27874, 1299, 343, 3867, 273, 18098, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 343, 3867, 273, 4153, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 343, 3867, 273, 4153, 3847, 1496, 476, 272, 10954, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422, 2431, 9948, 7807, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 10592, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 341, 2020, 763, 2838, 11186, 3830, 568, 454, 259, 344, 3867, 273, 4153, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 344, 3867, 273, 13157, 272, 14204, 295, 842, 912, 17843, 11868, 3830, 630, 328, 264, 609, 2463, 547, 1535, 454, 11693, 912, 259, 263, 343, 8584, 22722, 273, 18511, 344, 3867, 273, 13157, 272, 14204, 11405, 912, 763, 3830, 540, 1920, 540, 14258, 568, 454, 259, 263, 343, 8584, 22722, 273, 18511, 344, 3867, 273, 13157, 272, 1422, 29911, 1422, 29911, 1422, 25854, 9217, 7751, 454, 8489, 513, 568, 513, 9936, 454, 17843, 11868, 3830, 630, 328, 264, 609, 2463, 547, 1535, 267, 649, 1205, 454, 17961, 25410, 348, 1299, 273, 3287, 8584, 9984, 273, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 263, 343, 8584, 9984, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 13157, 271, 11138, 1299, 315, 6912, 346, 272, 20742, 3867, 273, 3686, 284, 344, 21702, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 29911, 1422, 29911, 1496, 308, 315, 256, 2206, 630, 328, 13580, 11138, 1299, 263, 272, 20742, 3867, 273, 348, 6661, 344, 3867, 273, 4153, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422, 754, 25410, 8679, 763, 2838, 3830, 568, 454, 259, 344, 3867, 273, 4153, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 18511, 344, 3867, 273, 13157, 272, 6911, 17843, 658, 17817, 3635, 476, 2641, 269, 273, 2243, 476, 1626, 630, 12858, 2020, 763, 2838, 11186, 3830, 568, 454, 259, 343, 13375, 1496, 586, 21702, 3189, 9507, 18097, 348, 476, 3867, 273, 348, 344, 7346, 9507, 18097, 348, 1535, 3867, 273, 3686, 10954, 3847, 630, 1422, 2765, 3189, 9507, 18097, 348, 586, 7346, 9507, 18097, 348, 1535, 348, 1422, 2431, 3738, 3867, 273, 348, 1422 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1357, 692, 4134, 3697, 476, 272, 899, 692, 817, 2541, 602, 3747, 585, 513, 20161, 568, 6719, 676, 519, 3830, 1627, 323, 284, 6977, 268, 736, 335, 543, 3761, 676, 519, 3830, 1627, 338, 284, 5952, 266, 1789, 335, 267, 3602, 1627, 323, 543, 1627, 338, 616, 7274, 18796, 543, 13859, 267, 27920, 1947, 269, 8794, 519, 11466, 2783, 1627, 338, 284, 304, 323, 29679, 9876, 519, 3830, 547, 3313, 11466, 3902, 543, 7274, 14371, 1429, 519, 1079, 4834, 547, 6086, 5573, 707, 2626, 692, 30357, 3022, 609, 9297, 267, 2979, 267, 824, 692, 3286, 16331, 728, 1923, 5441, 11819, 1923, 630, 25583, 476, 273, 264, 31692, 1639, 3447, 1807, 692, 16829, 5437, 476, 1626, 267, 476, 1001, 274, 693, 476, 272, 281, 7871, 6751, 630, 12585, 1948, 272, 2020, 4134, 3697, 476, 272, 899, 692, 763, 3747, 585, 519, 20161, 568, 6719, 676, 519, 3830, 1627, 323, 284, 6977, 268, 736, 335, 543, 519, 3761, 585, 519, 20161, 568, 6719, 676, 519, 3830, 1627, 338, 284, 5952, 266, 1789, 335, 267, 3602, 1627, 323, 543, 1627, 338, 616, 7274, 18796, 543, 13859, 267, 6606, 543, 533, 568, 519, 3902, 269, 2311, 11466, 267, 519, 2783, 1627, 338, 284, 304, 323, 6585, 269, 901, 666, 581, 1031, 547, 3313, 519, 11466, 3902, 543, 7274, 780, 2252, 1627, 338, 815, 1627, 323, 267, 476, 6977, 910, 476, 736, 335, 815, 476, 5952, 1341, 476, 1789, 335, 692, 528, 476, 6977, 910, 476, 5952, 815, 476, 736, 335, 1341, 476, 1789, 335, 692, 528, 476, 1911, 815, 476, 2004, 335, 692, 528, 533, 815, 476, 273, 692, 27802, 23082, 519, 3902, 533, 815, 476, 273, 538, 519, 3830, 585, 1627, 338, 815, 476, 5952, 1341, 476, 1789, 335, 3947, 267, 1627, 338, 815, 476, 5952, 1341, 476, 2568, 815, 476, 13970, 269, 15240, 23082, 533, 815, 476, 273, 538, 519, 3830, 1627, 323, 815, 476, 6977, 910, 476, 736, 335, 3947, 476, 6977, 910, 476, 736, 265, 273, 815, 476, 6977, 910, 476, 2412, 815, 476, 13970, 780, 763, 11466, 3902, 568, 533, 815, 476, 273, 543, 519, 11466, 7274, 568, 476, 13970, 780, 2162, 15012, 547, 2626, 713, 2243, 692, 18794, 513, 2146, 540, 5215, 540, 6131, 3610, 543, 1053, 269, 0, 258, 19577, 281, 1635, 21482, 573, 692, 1892, 2913, 972, 581, 26829, 540, 519, 1482, 4463, 4171, 13279, 630, 732, 264, 519, 12730, 1269, 27398, 259, 543, 1269, 291, 9128, 8961, 543, 30085, 525, 519, 2798, 1269, 294, 259, 543, 1269, 295, 259, 630, 27920, 1947, 1916, 1892, 594, 2161, 602, 607, 3490, 1269, 27398, 259, 568, 547, 3490, 1269, 291, 9128, 8961, 865, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 18158, 1269, 291, 9128, 295, 16859, 1892, 1280, 952, 3490, 1269, 27398, 259, 568, 711, 547, 3490, 1269, 291, 9128, 8961, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 18158, 1269, 291, 9128, 295, 8961, 1287, 3490, 1269, 27398, 259, 786, 581, 547, 3490, 1269, 291, 9128, 8961, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 930, 4396, 2901, 1447, 982, 267, 610, 3152, 982, 267, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 2913, 621, 267, 1101, 540, 782, 267, 581, 630, 514, 713, 5223, 264, 547, 630, 16341, 264, 14758, 630, 338, 13521, 1070, 1269, 310, 259, 563, 1892, 1656, 1577, 18158, 1269, 291, 9128, 295, 259, 723, 1044, 5258, 883, 1079, 26829, 3160, 547, 835, 1776, 267, 543, 2147, 547, 519, 2898, 267, 543, 883, 1079, 3160, 929, 3359, 563, 1892, 1924, 267, 519, 630, 8999, 540, 519, 264, 1079, 929, 3359, 568, 3152, 982, 3368, 540, 519, 2898, 18158, 1496, 303, 1886, 269, 476, 1321, 269, 274, 14073, 1892, 1656, 267, 1586, 267, 1577, 519, 26829, 6383, 676, 519, 6498, 723, 1044, 13974, 5258, 267, 543, 1577, 713, 581, 2944, 16111, 2394, 930, 26829, 616, 2451, 689, 18158, 1269, 291, 9128, 295, 259, 799, 630, 15290, 3773, 1927, 264, 616, 1447, 982, 519, 4430, 676, 799, 18158, 1269, 291, 9128, 295, 259, 20489, 519, 4396, 1269, 310, 259, 1496, 303, 1886, 269, 476, 1015, 269, 272, 14073, 1892, 2913, 873, 723, 1044, 2451, 267, 543, 267, 585, 519, 19160, 540, 4661, 267, 1577, 873, 581, 1269, 291, 304, 11965, 259, 543, 1269, 4306, 308, 295, 259, 563, 1892, 4935, 267, 519, 630, 8999, 540, 519, 264, 6967, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 568, 3152, 982, 4396, 1269, 310, 259, 563, 1892, 2913, 18158, 1269, 27398, 294, 259, 849, 723, 1044, 5258, 13974, 267, 543, 513, 2147, 1297, 540, 2053, 267, 607, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 4935, 267, 607, 3490, 1269, 27398, 259, 568, 547, 3490, 1269, 291, 9128, 8961, 865, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 1496, 303, 1886, 269, 476, 1321, 269, 275, 14073, 1892, 1809, 267, 849, 267, 607, 3490, 1269, 27398, 259, 630, 529, 264, 547, 3490, 1269, 291, 9128, 8961, 865, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 4396, 1269, 310, 259, 563, 1892, 1656, 267, 3976, 267, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 4396, 1269, 310, 8961, 865, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 1496, 303, 1886, 269, 476, 276, 269, 1556, 14073, 1892, 4935, 267, 3124, 2299, 267, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 621, 267, 865, 4396, 1269, 310, 259, 630, 529, 264, 547, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 1496, 303, 1886, 269, 476, 276, 269, 1626, 14073, 1892, 1656, 18158, 1269, 27398, 294, 259, 630, 529, 264, 3152, 982, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 621, 563, 1892, 4935, 267, 4396, 1269, 310, 259, 630, 529, 264, 849, 3152, 982, 519, 630, 8999, 540, 519, 264, 929, 3359, 1369, 18158, 1269, 291, 9128, 295, 259, 1496, 303, 1886, 269, 476, 276, 269, 1691, 14073, 1892, 1809, 267, 630, 527, 568, 264, 849, 1447, 563, 1892, 901, 1360, 3364, 568, 7543, 563, 1892, 4935, 267, 607, 3490, 1269, 27398, 259, 568, 547, 3490, 1269, 291, 9128, 8961, 865, 18158, 1269, 27398, 294, 259, 630, 529, 264, 711, 547, 930, 4396, 1447, 982, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 1924, 267, 13974, 267, 649, 666, 1397, 602, 3490, 1269, 291, 9128, 259, 568, 711, 547, 3490, 1269, 27398, 8961, 607, 18158, 1269, 291, 9128, 295, 259, 630, 529, 264, 547, 930, 4396, 1447, 982, 18158, 1269, 27398, 294, 259, 2901, 563, 1892, 1924, 267, 594, 2161, 602, 9444, 568, 3490, 1269, 27398, 259, 547, 3490, 1269, 291, 9128, 8961, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 930, 4396, 3152, 982, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 1280, 267, 952, 2009, 267, 1577, 621, 581, 630, 514, 713, 5223, 264, 547, 930, 3152, 630, 338, 13521, 1070, 1269, 310, 259, 563, 1892, 4935, 267, 11201, 569, 267, 607, 3490, 1269, 291, 9128, 259, 630, 529, 264, 547, 3490, 1269, 27398, 8961, 865, 4396, 1269, 310, 259, 630, 529, 264, 547, 18158, 1269, 27398, 294, 259, 1496, 303, 1886, 269, 476, 276, 269, 278, 1351, 337, 20426, 4586, 1892, 1656, 607, 4396, 1269, 310, 259, 630, 529, 264, 547, 18158, 1269, 27398, 294, 8961, 865, 18158, 1269, 291, 9128, 295, 259, 630, 529, 264, 547, 930, 630, 338, 13521, 264, 1447, 982, 18158, 1269, 27398, 294, 8961, 607, 3254, 1354, 1496, 303, 1886, 269, 476, 1321, 269, 273, 19790, 20426, 4586, 1892, 1656, 267, 3976, 267, 607, 3490, 1269, 291, 9128, 259, 630, 529, 264, 547, 3490, 1269, 27398, 8961, 865, 18158, 1269, 291, 9128, 295, 259, 630, 529, 264, 547, 930, 630, 338, 13521, 264, 1447, 982, 18158, 1269, 27398, 294, 259, 1496, 303, 1886, 269, 476, 276, 269, 1556, 14073, 1892, 634, 1360, 3364, 729, 3254, 630, 1729, 581, 264, 21494, 563, 1892, 4935, 267, 3490, 1269, 27398, 259, 568, 711, 547, 3490, 1269, 291, 9128, 8961, 607, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 930, 4396, 3152, 982, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 1656, 267, 621, 729, 3254, 602, 9444, 630, 529, 621, 538, 713, 5223, 264, 547, 513, 14758, 630, 338, 13521, 1916, 1892, 4935, 267, 607, 3490, 1269, 27398, 259, 568, 547, 3490, 1269, 291, 9128, 8961, 865, 18158, 1269, 27398, 294, 259, 630, 529, 264, 547, 18158, 1269, 291, 9128, 295, 259, 563, 1892, 630, 7617, 568, 264, 519, 1360, 3364, 621, 729, 2838, 547, 1397, 780, 14188, 596, 547, 519, 20334, 896, 16671, 15760, 4149, 288, 476, 275, 269, 271, 2439, 294, 603, 889, 1384, 12061, 8566, 603, 889, 912, 287, 293, 6308, 6312, 4459, 692, 2162, 22108, 692, 2971, 11154, 539, 689, 630, 11357, 915, 547, 10677, 267, 609, 2186, 10479, 2020, 272, 269, 23575, 6312, 4459, 267, 9400, 281, 21482, 573, 781, 834, 292, 6123, 540, 16387, 257, 0, 15675, 8525, 692, 1012, 590, 304, 305, 304, 290, 304, 692, 1607, 2534, 267, 9862, 689, 19258, 517, 543, 1261, 573, 9047, 779, 9752, 7335, 769, 9119, 630, 1220, 280, 1070, 2337, 547, 3391, 1053, 998, 519, 1184, 540, 6061, 513, 6310, 2262, 1966, 269, 4841, 1246, 513, 5812, 1305, 540, 3268, 547, 10891, 741, 1935, 547, 6061, 519, 1966, 267, 543, 547, 2992, 1558, 659, 4321, 569, 593, 741, 1184, 269, 4841, 946, 519, 27099, 590, 304, 305, 304, 290, 304, 547, 11291, 543, 6895, 519, 1739, 3268, 281, 20776, 3272, 281, 4841, 1236, 574, 519, 1966, 547, 5531, 513, 2489, 1620, 540, 519, 2470, 540, 519, 1966, 543, 1018, 789, 616, 6061, 585, 282, 7726, 281, 4841, 2307, 1018, 519, 1966, 568, 827, 267, 543, 1018, 1344, 621, 3340, 5919, 3367, 281, 4841, 1224, 519, 1966, 5402, 543, 2697, 1271, 1344, 267, 3347, 267, 543, 3877, 602, 789, 786, 991, 547, 4194, 621, 282, 9223, 281, 4841, 2307, 1018, 789, 991, 547, 798, 547, 4194, 519, 1966, 282, 30770, 270, 17746, 1192, 281, 4841, 1685, 519, 4238, 2556, 547, 4194, 519, 1966, 282, 7726, 281, 4841, 2307, 952, 519, 3070, 2306, 2631, 267, 543, 952, 789, 12193, 519, 1966, 7157, 563, 25321, 307, 7728, 25758, 288, 454, 4041, 27073, 5058, 26827, 3201, 14510, 454, 4041, 27073, 5058, 595, 312, 290, 4041, 5254, 17803, 692, 2162, 19369, 692, 1892, 10576, 835, 610, 811, 2262, 2042, 596, 1616, 1053, 547, 4194, 563, 1892, 16259, 513, 30453, 610, 4159, 10503, 519, 3268, 540, 590, 304, 305, 304, 290, 304, 563, 1892, 16259, 547, 2203, 1210, 590, 304, 305, 304, 290, 304, 547, 4194, 693, 2547, 835, 1966, 780, 258, 476, 272, 692, 2971, 11819, 12857, 590, 304, 305, 304, 290, 304, 267, 543, 6941, 875, 547, 946, 621, 269, 11819, 3631, 1210, 590, 304, 305, 304, 290, 304, 547, 4194, 513, 1966, 780, 2026, 596, 2203, 267, 1589, 16965, 827, 519, 1184, 865, 602, 1053, 666, 1174, 875, 543, 1946, 596, 1118, 519, 3664, 596, 798, 269, 1109, 22682, 6003, 543, 1589, 16965, 827, 1142, 1900, 540, 519, 1184, 780, 258, 476, 273, 692, 2971, 11819, 10525, 590, 304, 305, 304, 290, 304, 1184, 610, 2733, 2373, 1688, 8083, 10503, 519, 1184, 269, 11819, 2733, 2373, 835, 610, 811, 2262, 2042, 547, 1053, 780, 2791, 666, 3362, 16174, 6044, 585, 713, 2534, 676, 3246, 1114, 1053, 609, 2262, 2042, 540, 8795, 2157, 540, 7411, 563, 10743, 666, 960, 14350, 610, 538, 2516, 780, 258, 476, 274, 692, 2971, 11752, 281, 4841, 1236, 574, 519, 1966, 543, 5531, 513, 2489, 1620, 540, 1018, 621, 568, 827, 267, 543, 1018, 621, 568, 6998, 780, 2791, 666, 32694, 607, 1053, 616, 2324, 267, 2502, 835, 610, 1079, 1053, 693, 513, 942, 538, 9910, 18101, 3720, 538, 799, 596, 15378, 741, 3206, 1184, 543, 741, 1620, 267, 543, 948, 547, 3391, 873, 2509, 513, 2362, 1377, 540, 2219, 780, 258, 476, 275, 692, 2971, 7726, 281, 4841, 2307, 2933, 2055, 1519, 281, 3040, 1548, 568, 519, 1966, 827, 286, 3040, 1548, 1344, 1281, 519, 1966, 2154, 286, 4841, 949, 1689, 519, 2262, 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 ]

[ 519, 29980, 675, 534, 1272, 1131, 1413, 899, 563, 263, 4905, 281, 1789, 264, 1548, 568, 29980, 675, 22675, 888, 263, 5400, 281, 1556, 264, 16700, 5793, 31147, 29980, 675, 22675, 454, 263, 1321, 281, 6021, 264, 29980, 675, 22675, 5288, 7780, 4106, 31791, 454, 263, 1428, 281, 7367, 264, 1548, 2306, 29980, 675, 753, 1114, 454, 263, 3066, 281, 6021, 264, 6496, 29980, 675, 22675, 14710, 3294, 888, 263, 3374, 281, 6734, 264, 12389, 519, 29980, 675, 534, 1272, 454, 263, 2412, 281, 2641, 264, 4208, 5749, 1405, 649, 6126, 782, 519, 942, 454, 263, 5655, 281, 2767, 264, 4804, 875, 547, 5884, 454, 29771, 547, 634, 853, 10394, 14594, 585, 12353, 1199, 14591, 267, 3527, 267, 543, 6402, 547, 519, 1655, 853, 18757, 2200, 281, 4179, 2517, 4178, 14714, 334, 531, 21392, 2593, 4882, 889, 18285, 454, 8266, 523, 547, 811, 14501, 543, 1451, 811, 1934, 281, 4179, 2517, 560, 334, 3139, 2787, 2593, 270, 24108, 23995, 10394, 8410, 951, 725, 13045, 12552, 547, 7812, 2274, 11803, 585, 1178, 19290, 15603, 721, 946, 1010, 2575, 538, 519, 7391, 281, 4179, 2517, 534, 857, 1836, 516, 2593, 270, 0, 2421, 2475, 674, 4288, 1923, 8734, 476, 276, 267, 476, 1708, 273, 1923, 670, 7894, 292, 26932, 532, 454, 2026, 4966, 538, 593, 21935, 670, 7894, 292, 10612, 12760, 267, 649, 917, 1018, 621, 3217, 547, 3888, 513, 10612, 1062, 602, 3252, 3927, 267, 7561, 267, 543, 9108, 269, 2290, 851, 540, 519, 1184, 602, 1419, 1793, 2354, 1004, 779, 8186, 568, 632, 1532, 1737, 532, 269, 1809, 19551, 547, 2347, 713, 1900, 568, 2565, 952, 596, 1616, 707, 10612, 1062, 547, 7500, 693, 5021, 4390, 563, 2080, 779, 1018, 596, 991, 547, 917, 827, 632, 1532, 1737, 532, 670, 7894, 292, 12992, 563, 1692, 1684, 670, 7894, 292, 623, 6559, 645, 1737, 338, 4813, 888, 295, 7894, 292, 10612, 19273, 1106, 1282, 519, 12765, 12760, 1184, 269, 590, 30708, 540, 670, 7894, 292, 10612, 1590, 581, 12699, 547, 25146, 873, 1927, 269, 1879, 789, 2461, 12699, 267, 519, 670, 7894, 292, 1570, 6238, 547, 15835, 2443, 543, 950, 3196, 568, 4294, 547, 25146, 519, 12992, 1927, 267, 9764, 15835, 19273, 1106, 607, 4430, 1570, 568, 14593, 27808, 610, 21286, 563, 6546, 4430, 1570, 1287, 3029, 547, 1118, 670, 7894, 292, 10612, 19273, 267, 799, 786, 1106, 593, 1312, 519, 3544, 543, 3330, 540, 519, 10612, 269, 3371, 779, 513, 1434, 6516, 689, 519, 1773, 10415, 623, 6559, 4659, 540, 1018, 1346, 670, 7894, 292, 10612, 19273, 1522, 1413, 899, 912, 3719, 339, 12760, 568, 835, 1505, 540, 535, 6748, 1079, 6810, 540, 670, 7894, 292, 10612, 1927, 269, 898, 18271, 513, 12760, 3684, 547, 3180, 1079, 4773, 540, 10612, 1247, 519, 7475, 616, 12699, 609, 513, 22865, 6676, 269, 4495, 12699, 267, 3196, 568, 1031, 547, 16119, 7903, 519, 1079, 7475, 1927, 1141, 789, 616, 2451, 547, 1921, 267, 3579, 267, 543, 13021, 563, 3719, 339, 12760, 568, 519, 1034, 1455, 543, 1655, 1505, 540, 535, 6748, 1079, 2786, 6810, 540, 10612, 1927, 269, 634, 535, 4310, 10549, 1419, 1439, 909, 1373, 6793, 982, 519, 10612, 3294, 269, 1717, 267, 519, 1184, 666, 1711, 19273, 593, 519, 3330, 543, 3544, 540, 519, 535, 4310, 10549, 602, 666, 581, 6569, 547, 3035, 8445, 10612, 2773, 538, 1978, 3156, 563, 3963, 1772, 898, 12830, 547, 17179, 670, 7894, 292, 623, 6559, 645, 1737, 338, 888, 8253, 1169, 3498, 3340, 8851, 540, 670, 7894, 292, 10612, 19273, 1282, 12765, 12760, 267, 855, 621, 568, 2556, 538, 930, 6381, 630, 324, 3052, 269, 31026, 527, 3515, 1040, 3371, 779, 1946, 563, 1103, 4156, 670, 7894, 292, 10612, 19273, 666, 1711, 3625, 1137, 1369, 519, 10612, 269, 1452, 3625, 1137, 666, 6615, 2095, 267, 15972, 4551, 543, 6915, 16344, 916, 267, 543, 1267, 538, 10612, 5957, 1813, 547, 24360, 2095, 269, 1635, 9427, 4835, 19273, 267, 596, 666, 9004, 1346, 3625, 1137, 267, 2569, 11508, 267, 543, 1450, 585, 1732, 267, 8902, 2095, 2429, 519, 10612, 563, 1692, 547, 1546, 5174, 1737, 670, 7894, 292, 623, 6346, 454, 295, 7894, 292, 10612, 19273, 666, 581, 6569, 1210, 2027, 29950, 1121, 1478, 2645, 269, 4746, 5219, 547, 607, 968, 1372, 1532, 1737, 619, 2223, 891, 670, 7894, 292, 10612, 10380, 2645, 948, 4894, 519, 19273, 593, 519, 3330, 610, 3544, 540, 519, 10612, 563, 268, 1323, 4835, 10612, 632, 1532, 1737, 518, 568, 513, 3476, 267, 15393, 11057, 1907, 602, 666, 3914, 909, 519, 3259, 540, 519, 10612, 269, 898, 3096, 513, 5397, 6023, 543, 2759, 614, 2212, 547, 3914, 538, 543, 2759, 519, 29950, 2476, 689, 519, 9703, 269, 9208, 4835, 632, 1532, 1737, 619, 616, 4998, 585, 10612, 5603, 4394, 1063, 476, 274, 269, 276, 268, 1704, 269, 278, 514, 267, 855, 3677, 3283, 616, 2139, 547, 9290, 10612, 5603, 4394, 909, 547, 476, 4029, 269, 276, 514, 563, 268, 1323, 5007, 10612, 632, 1532, 1737, 518, 568, 513, 1826, 540, 2196, 268, 19925, 1544, 532, 1907, 269, 898, 2007, 338, 883, 519, 29950, 543, 3096, 513, 3731, 322, 2867, 5163, 547, 12347, 2759, 621, 1055, 269, 1452, 2645, 616, 849, 4749, 1031, 538, 1793, 328, 680, 1456, 543, 524, 2084, 3157, 547, 7816, 20984, 563, 292, 2416, 1259, 267, 670, 7894, 292, 10612, 632, 1532, 1737, 532, 568, 513, 5266, 2656, 1184, 952, 596, 723, 519, 1318, 2319, 543, 3937, 269, 769, 1034, 2665, 267, 25255, 1331, 621, 538, 741, 10612, 10380, 543, 12760, 2533, 563, 2690, 16869, 670, 7894, 292, 623, 6559, 12305, 566, 7896, 267, 13555, 2475, 674, 4785, 12778, 563, 2252, 596, 2461, 538, 991, 540, 670, 7894, 292, 10612, 12760, 543, 29950, 8851, 267, 3972, 2475, 674, 4785, 12778, 269, 2060, 6789, 10933, 8791, 26577, 2275, 1068, 1881, 12760, 23390, 543, 513, 18239, 540, 12760, 6191, 538, 6006, 267, 649, 2461, 4712, 547, 1683, 4810, 267, 6325, 267, 543, 2922, 10612, 12760, 2533, 585, 513, 3099, 540, 3156, 269, 3776, 3157, 2743, 519, 5207, 2872, 4441, 543, 2825, 6042, 267, 3850, 721, 547, 2327, 513, 2816, 1134, 2944, 1142, 543, 1169, 942, 563, 2690, 811, 1344, 267, 2285, 721, 513, 1289, 693, 630, 18597, 264, 476, 5038, 278, 268, 28638, 278, 610, 3346, 721, 2228, 563, 2421, 2475, 674, 4288, 1923, 4239, 476, 1428, 267, 476, 1708, 273, 1923, 2983, 657, 24678, 6931, 619, 454, 31572, 29908, 543, 20984, 593, 4070, 4609, 568, 1271, 538, 4509, 519, 3106, 540, 4600, 267, 6703, 267, 543, 4478, 5054, 269, 589, 1134, 27059, 6281, 2270, 618, 1062, 786, 948, 1205, 596, 972, 563, 2080, 779, 519, 1085, 17274, 593, 1018, 6281, 2270, 618, 568, 267, 1018, 6281, 2270, 618, 4170, 616, 267, 543, 875, 547, 1265, 519, 6281, 2270, 618, 3070, 602, 779, 1318, 585, 707, 3498, 563, 1432, 1772, 18520, 1230, 24287, 888, 13553, 776, 2270, 618, 568, 1022, 1062, 267, 3926, 267, 610, 1852, 2268, 602, 779, 1031, 547, 3247, 513, 6219, 689, 694, 9429, 883, 513, 9138, 1858, 269, 1411, 666, 1589, 540, 621, 607, 707, 3119, 8708, 779, 19307, 1544, 269, 1403, 707, 4859, 7382, 610, 3282, 14941, 20984, 267, 707, 6281, 2270, 618, 3070, 786, 1683, 606, 3063, 4494, 540, 4027, 547, 1832, 519, 21383, 8659, 563, 3963, 1772, 18520, 1230, 24287, 10261, 539, 593, 14716, 26317, 888, 2005, 779, 513, 3106, 13390, 1081, 269, 1703, 616, 513, 3099, 540, 2326, 543, 6878, 1031, 2429, 519, 4070, 1184, 267, 930, 540, 799, 616, 13818, 547, 1480, 543, 5924, 2825, 1072, 2443, 1589, 3282, 267, 4492, 267, 12318, 1043, 2326, 267, 13818, 3653, 267, 20919, 267, 14107, 267, 3092, 563, 2252, 519, 3119, 8708, 8066, 602, 6219, 6238, 547, 13451, 267, 596, 991, 513, 6281, 2270, 618, 1062, 547, 6952, 519, 21383, 543, 2061, 513, 3677, 267, 811, 5906, 3190, 563, 15650, 540, 18520, 1230, 24287, 7010, 454, 7712, 1169, 4070, 3498, 814, 1114, 2115, 267, 972, 5749, 1406, 1022, 4170, 585, 1018, 6281, 2270, 618, 1949, 991, 547, 1413, 899, 269, 1703, 616, 1152, 4170, 585, 1018, 621, 2115, 547, 9585, 563, 11997, 267, 972, 616, 1082, 1114, 2010, 540, 6281, 2270, 618, 1949, 1031, 269, 3371, 616, 513, 1906, 1455, 3283, 912, 13553, 776, 1230, 24287, 21976, 585, 14716, 26317, 454, 13553, 776, 2270, 618, 568, 2838, 676, 1896, 5313, 267, 1533, 267, 543, 2199, 6042, 269, 1452, 4170, 4268, 1759, 593, 11769, 267, 607, 1134, 607, 676, 519, 1826, 543, 7274, 540, 13818, 6878, 17411, 269, 1411, 949, 1256, 723, 6878, 602, 616, 14931, 676, 811, 982, 835, 8116, 896, 1114, 6042, 269, 769, 602, 2013, 267, 621, 779, 1655, 547, 3346, 1142, 8116, 543, 7654, 8430, 513, 4745, 5870, 547, 1865, 519, 1655, 1544, 540, 2962, 563, 7712, 6281, 2270, 618, 4170, 666, 4268, 267, 649, 3580, 6529, 547, 930, 540, 519, 1034, 1455, 267, 3622, 7608, 267, 543, 740, 22363, 3562, 4441, 689, 519, 7025, 10466, 10837, 630, 292, 5183, 1040, 5457, 602, 713, 568, 711, 519, 2407, 1592, 540, 6281, 2270, 618, 4170, 267, 865, 581, 2386, 547, 2007, 4514, 883, 1533, 543, 2199, 6042, 585, 707, 1808, 3498, 563, 292, 5183, 779, 18520, 1230, 24287, 21976, 454, 763, 1292, 16501, 7939, 602, 14592, 6281, 2270, 618, 4170, 568, 16501, 476, 2412, 595, 15709, 476, 25784, 269, 11260, 269, 898, 9598, 919, 2947, 1292, 4170, 912, 268, 623, 969, 1190, 1145, 2443, 2659, 6281, 2270, 618, 1062, 1590, 896, 12340, 3119, 11149, 267, 543, 581, 1863, 540, 18015, 543, 10616, 865, 602, 20984, 543, 29908, 616, 4625, 8659, 563, 268, 32437, 2443, 2659, 6281, 2270, 618, 1062, 3490, 1590, 581, 1793, 25660, 267, 610, 621, 1590, 581, 2966, 547, 8963, 543, 4894, 838, 2683, 6878, 269, 901, 568, 865, 707, 3119, 8708, 3085, 1406, 1694, 538, 922, 1378, 3653, 563, 268, 4825, 1549, 27519, 2443, 2659, 6281, 2270, 618, 1062, 1590, 723, 519, 4390, 547, 2270, 476, 1015, 260, 540, 519, 4320, 540, 782, 3119, 11149, 610, 476, 1911, 260, 540, 519, 4320, 540, 519, 4102, 3119, 8708, 2443, 627, 31295, 568, 3152, 563, 268, 2776, 27457, 2787, 10644, 2443, 2659, 6281, 2270, 618, 1062, 1590, 2061, 13247, 689, 10024, 267, 8259, 621, 814, 2614, 4390, 547, 3180, 602, 13247, 2059, 609, 824, 6878, 543, 12802, 4390, 4170, 563, 268, 17904, 31203, 2443, 7102, 6878, 602, 723, 838, 2683, 883, 707, 6281, 2270, 618, 1062, 1058, 581, 1202, 4624, 543, 19345, 909, 607, 4166, 607, 2009, 547, 2061, 24492, 563, 1692, 547, 4855, 519, 18520, 1230, 24287, 8827, 2334, 779, 9406, 585, 2659, 13335, 454, 3086, 602, 596, 723, 513, 16861, 1620, 540, 6281, 2270, 618, 4170, 267, 596, 949, 723, 513, 1732, 2856, 540, 1018, 6281, 2270, 618, 3070, 568, 5078, 585, 707, 1788, 269, 1809, 547, 1118, 2386, 596, 2461, 1818, 519, 32343, 267, 811, 2500, 3375, 267, 621, 779, 2141, 1655, 547, 2911, 609, 513, 6281, 2270, 618, 11285, 899, 2475, 674, 4785, 12778, 563, 2171, 3580, 948, 596, 4137, 856, 799, 1826, 540, 6281, 2270, 618, 568, 1655, 543, 875, 547, 3888, 621, 538, 513, 1259, 602, 10742, 782, 4170, 689, 10858, 9431, 8041, 269, 1809, 1034, 540, 782, 267, 649, 3580, 3888, 621, 538, 513, 1259, 602, 8952, 707, 1004, 267, 9744, 267, 543, 1604, 1863, 689, 2800, 563, 23086, 2475, 674, 4785, 12778, 779, 18520, 1230, 24287, 7981, 1235, 454, 2414, 2327, 707, 1788, 543, 9744, 616, 538, 2347, 10220, 267, 513, 6281, 2270, 618, 1062, 568, 2556, 269, 1403, 596, 991, 948, 4466, 519, 1318, 6281, 2270, 618, 3070, 585, 707, 20614, 4070, 1788, 267, 3346, 2475, 674, 4785, 12778, 269, 3776, 12665, 666, 948, 2626, 707, 2055, 267, 3761, 519, 2472, 596, 991, 267, 543, 3888, 873, 585, 5021, 2825, 1852, 563, 2421, 2475, 674, 4288, 1923, 4119, 476, 3066, 267, 476, 1708, 273, 1923, 670, 7894, 292, 26932, 532, 454, 1103, 519, 20614, 4070, 2230, 267, 972, 779, 513, 2603, 540, 2911, 827, 519, 1655, 2326, 585, 513, 2816, 267, 543, 585, 1434, 2601, 269, 3143, 2339, 707, 2872, 610, 946, 2013, 267, 2773, 6927, 267, 543, 8939, 519, 1318, 3070, 585, 707, 1808, 3498, 666, 1118, 610, 2736, 707, 4070, 1788, 269, 901, 6643, 568, 3226, 1271, 950, 621, 2501, 547, 10398, 532, 267, 538, 851, 1317, 596, 949, 711, 917, 519, 3017, 1063, 519, 1079, 1883, 5716, 281, 670, 7894, 292, 543, 31668, 563, 3719, 670, 7894, 292, 543, 31668, 10612, 723, 930, 1271, 3604, 950, 621, 2501 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10158, 3724, 10724, 267, 744, 5336, 520, 3700, 642, 277, 14871, 6651, 454, 10463, 269, 9745, 834, 288, 5119, 2348, 693, 2547, 835, 10155, 3160, 547, 4642, 568, 1572, 606, 8900, 5119, 2580, 30731, 4578, 23113, 21444, 476, 1220, 280, 268, 1321, 268, 2764, 693, 519, 10158, 3724, 10724, 454, 10619, 269, 9745, 674, 644, 28086, 1299, 570, 10098, 548, 1109, 2735, 274, 267, 587, 480, 4089, 476, 272, 269, 272, 269, 272, 454, 4037, 269, 9745, 2494, 940, 1109, 1960, 280, 267, 587, 480, 4089, 476, 1428, 269, 274, 269, 275, 454, 10602, 269, 9745, 24156, 1109, 1960, 278, 267, 587, 480, 2419, 269, 476, 273, 269, 279, 454, 6507, 269, 9745, 853, 8657, 1109, 1220, 276, 267, 587, 480, 2419, 269, 476, 272, 269, 272, 269, 276, 543, 476, 272, 269, 273, 269, 275, 454, 4281, 269, 9745, 5948, 585, 17270, 7557, 10320, 1109, 3192, 280, 267, 587, 480, 2419, 269, 476, 278, 454, 8064, 269, 9745, 29331, 559, 1299, 20858, 548, 1109, 1220, 275, 267, 587, 480, 2419, 269, 476, 279, 269, 272, 454, 3199, 269, 9745, 15722, 333, 523, 1109, 1220, 273, 454, 10037, 269, 9745, 18999, 1109, 2735, 278, 320, 267, 587, 480, 2419, 269, 2473, 9654, 269, 277, 454, 11025, 269, 9745, 715, 665, 539, 531, 1109, 1220, 277, 267, 587, 480, 2419, 269, 476, 1626, 454, 10695, 269, 9745, 18999, 1109, 2735, 278, 320, 267, 587, 480, 2419, 269, 2473, 9654, 269, 272, 454, 10019, 269, 9745, 18999, 1109, 2735, 278, 320, 267, 587, 480, 2419, 269, 2473, 9654, 269, 276, 269, 1280, 513, 811, 4359, 267, 543, 811, 2489, 3948, 1294, 18999, 1109, 3422, 280, 267, 587, 480, 2419, 269, 17886, 269, 273, 454, 5952, 269, 9745, 16500, 321, 1173, 1299, 2558, 644, 5424, 1109, 1220, 272, 454, 9262, 269, 9745, 4678, 537, 3832, 1299, 10548, 553, 342, 9564, 1109, 1960, 280, 454, 6434, 269, 9745, 2725, 1002, 320, 1299, 590, 12541, 643, 553, 534, 1109, 3192, 279, 267, 587, 480, 2419, 269, 476, 273, 269, 279, 454, 8660, 269, 9745, 1261, 3315, 267, 7812, 630, 2735, 277, 1070, 4223, 4631, 585, 10803, 267, 10228, 2160, 4964, 267, 9768, 1109, 7818, 268, 271, 268, 866, 268, 25616, 3583, 273, 268, 275, 454, 3445, 269, 9745, 918, 337, 345, 534, 22603, 1109, 2735, 279, 267, 587, 480, 2419, 269, 476, 273, 269, 273, 1421, 533, 269, 476, 2568, 454, 11011, 269, 9745, 918, 337, 345, 534, 22603, 1109, 2735, 279, 267, 587, 480, 2419, 269, 476, 275, 269, 272, 454, 10844, 269, 9745, 454, 11152, 269, 9745, 2098, 629, 16967, 514, 267, 6601, 345, 514, 1299, 20673, 752, 990, 1696, 620, 269, 1109, 1220, 277, 454, 11463, 269, 9745, 898, 5414, 802, 517, 1299, 2098, 21310, 1109, 2735, 271, 267, 587, 480, 2419, 269, 476, 273, 454, 4817, 269, 9745, 1294, 26990, 612, 1299, 18703, 1109, 1220, 278, 267, 587, 480, 7611, 476, 272, 269, 277, 269, 274, 269, 630, 24746, 263, 274, 24270, 3296, 476, 273, 269, 275, 269, 274, 269, 273, 269, 630, 298, 984, 599, 20076, 1700, 300, 2532, 11867, 5119, 994, 9834, 269, 9745, 5576, 858, 1109, 3422, 279, 267, 587, 480, 2419, 269, 476, 277, 454, 9032, 269, 9745, 645, 2129, 332, 1109, 1220, 272, 267, 587, 480, 21827, 4083, 269, 275, 543, 4083, 269, 279, 454, 7176, 269, 9745, 1284, 514, 6199, 1109, 1960, 276, 267, 587, 480, 2419, 269, 476, 274, 454, 4200, 269, 9745, 654, 615, 21884, 1109, 2735, 278, 267, 587, 480, 4820, 4083, 454, 1911, 269, 9745, 681, 13704, 267, 20122, 5459, 1299, 645, 775, 1109, 1960, 278, 267, 587, 480, 278, 269, 1704, 454, 6200, 269, 9745, 2871, 550, 615, 1109, 1960, 271, 267, 587, 480, 2419, 269, 476, 276, 454, 9083, 269, 9745, 30715, 267, 9061, 2917, 1299, 700, 684, 1109, 1960, 280, 11855, 676, 6601, 1206, 7815, 1109, 1220, 276, 267, 587, 480, 335, 269, 476, 272, 454, 9818, 269, 2598, 4740, 9119, 476, 275, 628, 3798, 269, 667, 657, 8124, 267, 32572, 267, 1975, 1619, 267, 966, 663, 523, 29431, 526, 523, 267, 15618, 676, 5410, 2581, 24380, 2917, 267, 5239, 476, 1015, 267, 476, 1220, 272, 9768, 1109, 7818, 268, 271, 268, 25834, 268, 5881, 280, 1321, 268, 272, 267, 533, 269, 476, 276, 5038, 268, 276, 4792, 454, 10441, 269, 9745, 10261, 5069, 267, 9478, 282, 15651, 700, 532, 630, 4198, 280, 1040, 3163, 543, 6406, 5314, 538, 3624, 269, 5292, 269, 1109, 7656, 269, 11062, 281, 11062, 2160, 4964, 269, 533, 269, 1109, 14056, 269, 9768, 1109, 7818, 268, 271, 268, 276, 2641, 268, 4962, 279, 4905, 268, 279, 563, 10755, 269, 9745, 2598, 4740, 9119, 476, 275, 628, 3798, 269, 667, 657, 8124, 267, 32572, 267, 1975, 1619, 267, 966, 663, 523, 29431, 526, 523, 267, 15618, 676, 5410, 2581, 24380, 2917, 267, 5239, 476, 1015, 267, 476, 1220, 272, 9768, 1109, 7818, 268, 271, 268, 25834, 268, 5881, 280, 1321, 268, 272, 267, 533, 269, 476, 276, 5038, 454, 11793, 269, 9745, 8585, 26713, 268, 31812, 8675, 267, 8585, 26713, 268, 31812, 267, 27366, 4989, 476, 736, 267, 476, 1220, 280, 454, 13040, 269, 9745, 4014, 1082, 2959, 1533, 602, 808, 269, 808, 269, 31506, 1407, 614, 22579, 519, 6310, 2165, 834, 9795, 257, 538, 476, 7277, 279, 267, 31506, 1407, 614, 3370, 4986, 538, 476, 7277, 279, 269, 630, 2690, 6169, 602, 31506, 1407, 614, 3370, 4986, 538, 476, 7277, 279, 267, 1294, 281, 808, 269, 808, 269, 31506, 1407, 614, 609, 670, 269, 674, 269, 22823, 267, 1196, 1421, 634, 11814, 539, 19556, 14430, 540, 6276, 9478, 31506, 1407, 614, 630, 23173, 8822, 267, 4789, 281, 11062, 2160, 4964, 267, 476, 5002, 275, 1070, 2019, 269, 476, 272, 4700, 3571, 9998, 946, 540, 519, 2165, 834, 9795, 257, 4386, 538, 476, 6977, 271, 538, 808, 269, 808, 269, 31506, 1407, 614, 630, 6977, 271, 264, 834, 3849, 1885, 547, 519, 4930, 538, 519, 5181, 1297, 540, 713, 4760, 267, 834, 4002, 513, 1007, 1362, 540, 5376, 916, 2437, 543, 593, 623, 26696, 781, 11532, 2437, 634, 5507, 267, 25470, 267, 543, 25212, 11096, 28441, 18225, 543, 4750, 540, 3163, 267, 476, 4391, 281, 476, 3607, 274, 268, 24907, 269, 3245, 2985, 476, 3607, 280, 281, 834, 2690, 713, 3483, 267, 649, 1590, 30134, 267, 711, 609, 513, 4009, 267, 855, 609, 606, 1073, 14075, 11460, 540, 2474, 9967, 267, 15475, 267, 540, 544, 3515, 543, 562, 9587, 269, 901, 1281, 711, 538, 3294, 2099, 513, 24572, 267, 855, 568, 267, 607, 621, 941, 267, 513, 19336, 856, 540, 799, 649, 949, 1106, 1585, 1949, 540, 21876, 3267, 27029, 10482, 269, 9745, 634, 11814, 539, 19556, 14430, 540, 6276, 9478, 31506, 1407, 614, 281, 476, 8146, 278, 1700, 6977, 274, 267, 7433, 476, 4391, 267, 533, 269, 476, 26316, 454, 11820, 269, 9745, 5845, 269, 9558, 269, 476, 6977, 279, 267, 2019, 269, 16825, 267, 6032, 269, 1704, 268, 4391, 4569, 269, 14430, 4083, 476, 275, 4037, 268, 5392, 277, 454, 8099, 269, 9745, 12603, 644, 517, 333, 2946, 267, 1196, 269, 1109, 3192, 279, 267, 587, 480, 14157, 269, 476, 272, 267, 932, 269, 8633, 267, 533, 269, 476, 9834, 454, 9340, 269, 9745, 12928, 29793, 5255, 1109, 1960, 275, 454, 12208, 269, 9745, 8316, 9469, 1109, 3192, 276, 454, 13647, 269, 9745, 918, 337, 821, 14982, 1109, 6245, 278, 454, 14625, 269, 9745, 1284, 1512, 1598, 817, 1109, 4489, 276, 267, 587, 480, 653, 269, 476, 27244, 1700, 30525, 454, 12893, 269, 9745, 645, 20110, 7815, 1109, 1220, 275, 454, 14138, 269, 9745, 2725, 31137, 1299, 5589, 1156, 6199, 1109, 2735, 278, 454, 14056, 269, 9745, 6519, 3650, 267, 21238, 3345, 282, 543, 21651, 267, 26450, 8681, 630, 4489, 274, 264, 10988, 760, 807, 4223, 11490, 320, 547, 2608, 6321, 267, 11062, 693, 519, 2160, 4964, 267, 11062, 5177, 630, 10517, 21242, 476, 3422, 273, 264, 32647, 2985, 476, 14341, 742, 563, 14093, 269, 9745, 570, 1513, 7288, 267, 21238, 282, 630, 3707, 277, 264, 4985, 547, 20603, 543, 519, 6396, 1108, 540, 667, 9254, 21063, 7070, 267, 667, 1478, 23549, 267, 5549, 267, 1715, 3840, 12924, 267, 9768, 1109, 271, 268, 4366, 277, 268, 29257, 7830, 29930, 269, 0, 258, 476, 273, 343, 476, 272, 476, 1691, 2473, 692, 1012, 1548, 568, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 2496, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 568, 606, 3830, 602, 568, 1031, 547, 2263, 519, 1523, 540, 7223, 269, 10789, 568, 513, 7936, 540, 6128, 602, 9388, 609, 519, 3347, 1063, 7164, 2338, 267, 4632, 267, 543, 21635, 269, 1677, 1118, 519, 3830, 960, 267, 835, 2115, 547, 4194, 585, 519, 7164, 4756, 267, 799, 538, 713, 2013, 568, 968, 343, 1848, 901, 3830, 568, 1419, 1031, 607, 606, 1383, 538, 15821, 2042, 950, 3450, 1053, 519, 17950, 540, 7223, 780, 2162, 1548, 568, 519, 2495, 540, 519, 3830, 2496, 763, 3830, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 568, 1031, 547, 4194, 585, 519, 7164, 4756, 267, 968, 343, 1848, 769, 713, 3830, 267, 519, 1079, 2474, 593, 519, 2451, 2427, 540, 519, 3160, 1129, 2099, 519, 4082, 476, 273, 343, 1341, 476, 272, 267, 543, 519, 2165, 593, 519, 1318, 2427, 540, 519, 3830, 568, 476, 1691, 343, 269, 1677, 1265, 519, 1871, 540, 1535, 267, 835, 2115, 547, 4194, 585, 621, 269, 634, 3830, 666, 581, 16866, 676, 12270, 1312, 5011, 540, 519, 3830, 676, 519, 11664, 540, 1535, 267, 799, 568, 476, 1691, 269, 23560, 865, 2164, 538, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 4742, 476, 273, 270, 1691, 1535, 1341, 476, 272, 270, 1691, 815, 1535, 269, 1635, 18946, 476, 272, 270, 1691, 689, 1312, 5011, 540, 519, 3830, 267, 519, 3830, 29776, 547, 476, 273, 270, 1691, 1535, 815, 1535, 910, 476, 272, 270, 1691, 269, 29435, 532, 1312, 5011, 540, 519, 3830, 676, 476, 273, 270, 1691, 11729, 1535, 815, 476, 278, 270, 278, 267, 799, 568, 519, 3070, 547, 519, 3830, 780, 2971, 1215, 568, 519, 3830, 1031, 538, 2259, 2496, 763, 3830, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 568, 1419, 1031, 547, 6542, 519, 9238, 540, 7223, 543, 875, 547, 4194, 585, 606, 7164, 4756, 269, 898, 568, 513, 2241, 3830, 547, 946, 607, 606, 1383, 950, 3450, 1053, 519, 17950, 540, 7223, 269, 898, 568, 849, 1031, 607, 513, 4358, 1448, 547, 4001, 1053, 875, 547, 4194, 811, 1950, 4834, 269, 634, 3830, 666, 849, 581, 1031, 547, 4194, 811, 7294, 2042, 269, 1280, 1383, 267, 952, 835, 6499, 547, 1265, 519, 1858, 540, 513, 13551, 267, 789, 666, 946, 519, 3830, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 547, 4194, 585, 1535, 267, 1287, 9062, 519, 3259, 543, 8700, 540, 519, 13551, 1927, 547, 1205, 519, 1858, 269, 901, 3830, 666, 849, 581, 1031, 547, 4194, 585, 519, 18592, 540, 513, 5858, 269, 1635, 6061, 585, 1535, 267, 835, 666, 1265, 519, 8953, 540, 519, 5858, 267, 1287, 946, 519, 3830, 476, 273, 11027, 337, 547, 1265, 519, 18592, 780, 2971, 1548, 824, 4834, 616, 1031, 538, 7223, 2496, 1103, 1840, 547, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 267, 972, 616, 513, 3099, 540, 824, 4834, 1031, 538, 7223, 269, 1452, 1331, 5276, 4834, 267, 13392, 4834, 267, 9971, 4834, 267, 543, 12825, 4834, 267, 1851, 1866, 269, 3962, 3830, 568, 1031, 547, 4194, 1114, 2010, 540, 2042, 543, 568, 1031, 547, 6542, 519, 1114, 3741, 540, 7223, 780, 2971, 1548, 616, 519, 2640, 540, 1565, 7223, 2496, 13981, 7223, 666, 581, 513, 1390, 4324, 547, 1022, 2875, 269, 898, 666, 948, 1053, 1174, 519, 3741, 540, 2979, 543, 875, 547, 4194, 4834, 269, 898, 666, 849, 948, 873, 1174, 519, 3347, 1063, 4632, 543, 21635, 267, 799, 666, 581, 513, 3730, 1907, 950, 2324, 593, 811, 2352, 2979, 2042, 269, 10789, 666, 849, 948, 1053, 538, 824, 2127, 540, 2257, 267, 971, 607, 6323, 543, 7998, 267, 607, 621, 568, 1031, 547, 2491, 875, 1114, 6878, 2170, 780, 2971, 10390, 692, 763, 3830, 476, 273, 343, 1341, 476, 272, 815, 476, 1691, 343, 568, 513, 2241, 3830, 1031, 547, 6542, 519, 9238, 540, 7223, 543, 875, 547, 4194, 585, 606, 7164, 4756, 269, 898, 568, 1419, 1031, 538, 15821, 2042, 950, 3450 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4985, 454, 1103, 519, 3332, 2689, 649, 5635, 2090, 676, 824, 11570, 543, 649, 4063, 875, 1114, 891, 616, 689, 23600, 269, 1284, 4312, 1224, 13746, 267, 2835, 543, 4930, 538, 3163, 6034, 269, 769, 713, 3184, 649, 2811, 2111, 547, 4228, 938, 1702, 875, 824, 5830, 2070, 519, 3390, 693, 1688, 269, 1284, 723, 10268, 1585, 2081, 540, 519, 1239, 649, 1336, 267, 2901, 676, 19696, 1210, 519, 14905, 3898, 267, 2592, 543, 7515, 563, 273, 269, 476, 272, 9085, 5623, 454, 3528, 519, 1032, 476, 2735, 274, 267, 519, 4161, 540, 5061, 729, 10294, 513, 3084, 6595, 676, 519, 14570, 1014, 2229, 269, 15526, 26722, 540, 19338, 543, 1346, 9575, 609, 519, 5061, 609, 2463, 547, 519, 2179, 540, 5061, 602, 789, 1185, 538, 741, 15896, 941, 30992, 547, 2669, 267, 1346, 941, 930, 540, 519, 2081, 519, 2229, 729, 3843, 547, 8207, 519, 2783, 855, 952, 2576, 729, 26722, 540, 3908, 547, 15896, 540, 5061, 646, 24172, 729, 25058, 513, 14317, 8998, 585, 476, 2190, 3275, 269, 4495, 1483, 2213, 689, 519, 8998, 267, 519, 3328, 1268, 814, 12964, 3275, 540, 2625, 566, 941, 646, 610, 1352, 814, 1079, 10729, 4255, 513, 3923, 563, 291, 2607, 267, 13939, 689, 11062, 667, 17152, 6732, 267, 8813, 883, 1079, 6688, 602, 616, 4915, 543, 796, 32016, 6219, 269, 10738, 519, 4915, 7121, 267, 519, 2262, 3075, 1797, 1022, 2067, 610, 31567, 1500, 3114, 799, 568, 8246, 607, 513, 4915, 1247, 538, 519, 7121, 540, 24648, 527, 1493, 6219, 267, 3075, 1797, 1022, 2067, 610, 31567, 1500, 3114, 799, 568, 3144, 585, 12257, 267, 547, 5818, 2576, 781, 2773, 540, 513, 4305, 267, 610, 1175, 1317, 513, 1268, 3112, 3247, 11766, 532, 621, 269, 634, 8545, 10096, 2965, 9446, 532, 519, 3119, 22906, 609, 713, 1353, 799, 568, 519, 2962, 540, 6219, 6057, 267, 799, 676, 519, 1482, 2707, 267, 6057, 2409, 547, 946, 610, 1521, 2576, 610, 1945, 4636, 569, 610, 21354, 267, 2523, 538, 513, 1259, 602, 568, 547, 707, 1378, 5413, 563, 1607, 14432, 7613, 568, 2965, 513, 5001, 6433, 543, 949, 3142, 2059, 513, 1390, 1764, 538, 835, 781, 1272, 267, 18867, 513, 2146, 267, 543, 1287, 786, 1860, 519, 2208, 540, 513, 2197, 269, 2368, 1767, 602, 713, 6433, 568, 519, 1482, 2085, 607, 30768, 269, 898, 2731, 568, 3330, 938, 2470, 602, 1004, 899, 547, 8532, 1919, 602, 3142, 721, 12257, 543, 1373, 538, 519, 1533, 540, 552, 25045, 18319, 269, 1717, 267, 649, 1058, 1101, 2015, 519, 2427, 2360, 540, 519, 6981, 540, 971, 6878, 269, 1703, 568, 11999, 1297, 540, 29622, 602, 1185, 1044, 5645, 856, 538, 1931, 547, 16401, 610, 536, 4314, 713, 6433, 782, 1472, 519, 8608, 269, 1703, 616, 22705, 543, 17498, 585, 519, 3466, 540, 519, 6219, 6057, 2665, 855, 621, 1185, 2760, 1044, 30403, 4625, 563, 298, 783, 320, 700, 2794, 584, 607, 513, 11112, 1747, 267, 1034, 540, 519, 11317, 991, 5061, 547, 11883, 609, 519, 3728, 1272, 269, 1452, 5061, 666, 581, 22925, 6878, 971, 607, 5869, 710, 267, 4568, 267, 543, 3235, 560, 6470, 21447, 269, 634, 1382, 676, 519, 14570, 1014, 5369, 12278, 5948, 630, 1220, 277, 1070, 4951, 602, 519, 2247, 568, 3413, 21719, 676, 519, 10057, 5061, 269, 634, 2451, 1858, 540, 519, 2634, 568, 4299, 568, 3957, 519, 8007, 13374, 269, 8033, 4240, 946, 540, 5061, 2110, 2275, 1844, 7057, 519, 8007, 13374, 799, 875, 21341, 6238, 269, 634, 2247, 786, 1287, 991, 811, 543, 811, 1804, 9424, 540, 519, 6219, 3144, 936, 942, 269, 634, 2634, 7998, 568, 12012, 693, 713, 942, 267, 4061, 24040, 3270, 6238, 1934, 563, 291, 2607, 338, 899, 25933, 666, 1267, 538, 1279, 9434, 3441, 267, 2669, 543, 1256, 1840, 269, 3245, 713, 2376, 9862, 689, 834, 3918, 4596, 23615, 312, 715, 8582, 257, 3896, 593, 25933, 2360, 267, 621, 568, 5018, 602, 649, 1631, 723, 1079, 1114, 6688, 540, 25933, 1198, 269, 1452, 2360, 616, 4080, 547, 581, 1279, 17941, 543, 2110, 17941, 269, 898, 3085, 1405, 2339, 875, 1082, 2053, 513, 1268, 3096, 25933, 1256, 2899, 256, 646, 315, 9917, 2833, 2110, 3856, 25933, 2360, 799, 1331, 2799, 1973, 2604, 267, 2790, 10332, 1145, 267, 2799, 2295, 2557, 267, 8519, 14031, 543, 2799, 1560, 781, 2837, 269, 634, 1279, 3856, 2360, 2408, 1310, 2799, 5712, 3730, 269, 7043, 9434, 2360, 1331, 29338, 267, 7099, 18063, 543, 1964, 16531, 563, 300, 15097, 568, 849, 835, 540, 519, 1360, 1034, 4122, 26884, 3075, 543, 538, 1899, 609, 519, 1977, 7027, 1280, 10684, 4065, 789, 4766, 621, 607, 513, 7646, 26390, 514, 4094, 609, 930, 4568, 781, 1244, 816, 656, 799, 2164, 538, 32583, 267, 900, 19148, 572, 2742, 543, 19357, 658, 10447, 269, 769, 1840, 789, 3136, 547, 2566, 602, 17089, 5012, 547, 4389, 2179, 540, 1565, 2702, 799, 568, 835, 540, 519, 4128, 1946, 1034, 1053, 945, 8673, 17089, 9959, 7900, 21354, 693, 1153, 607, 621, 7182, 519, 12588, 547, 10110, 1344, 607, 621, 568, 3810, 22925, 563, 1103, 606, 6159, 1324, 1533, 513, 1268, 851, 27457, 919, 538, 513, 31017, 7180, 267, 1256, 950, 5185, 609, 4101, 1272, 3871, 269, 18391, 693, 519, 3728, 1272, 538, 918, 783, 320, 700, 2794, 584, 513, 2603, 540, 2591, 616, 5185, 676, 519, 6107, 972, 267, 891, 1331, 13864, 267, 3668, 540, 513, 6068, 835, 610, 6710, 269, 1452, 3871, 666, 1118, 596, 23494, 946, 5061, 547, 16401, 971, 10413, 5433, 1369, 563, 763, 2817, 14640, 5937, 2607, 10837, 630, 6124, 18135, 1080, 476, 1321, 5988, 476, 1001, 271, 264, 814, 1031, 936, 681, 300, 476, 4968, 2929, 12422, 547, 2057, 267, 1521, 267, 543, 11222, 4106, 622, 13982, 338, 269, 1358, 1616, 547, 3035, 519, 3077, 585, 513, 3075, 6954, 17111, 538, 476, 1001, 276, 543, 3075, 6954, 14570, 1014, 3506, 538, 476, 1001, 273, 269, 634, 8689, 540, 519, 8116, 13096, 4157, 19869, 592, 25234, 597, 2098, 514, 814, 5018, 602, 972, 15983, 568, 606, 24034, 2557, 540, 3075, 705, 22852, 593, 519, 2333, 269, 634, 8116, 6707, 11222, 4106, 730, 476, 1556, 476, 4375, 276, 13982, 338, 538, 476, 1220, 280, 476, 1220, 280, 855, 1152, 476, 7906, 260, 540, 519, 13982, 338, 616, 2973, 1631, 269, 2334, 2982, 602, 519, 3075, 13982, 338, 1810, 1405, 723, 2614, 856, 540, 14317, 2069, 563, 289, 269, 966, 1157, 19063, 793, 326, 600, 267, 631, 269, 631, 1794, 17427, 267, 918, 269, 590, 5576, 582, 577, 7615, 267, 631, 269, 595, 932, 1177, 2532, 328, 263, 1220, 280, 1070, 7150, 602, 5869, 514, 543, 13297, 3075, 616, 519, 2101, 1857, 1072, 1981, 2665, 6592, 538, 17111, 269, 5015, 789, 3136, 547, 1533, 689, 824, 4681, 267, 1063, 707, 1032, 476, 1960, 279, 543, 476, 1220, 277, 2043, 2282, 547, 476, 4968, 476, 1822, 2043, 941, 10805, 607, 10770, 3075, 705, 22852, 538, 17111, 269, 769, 1063, 519, 1296, 476, 1960, 279, 268, 1220, 277, 5869, 514, 729, 519, 3119, 3119, 3075, 26884, 1472, 476, 7830, 269, 476, 277, 260, 540, 891, 941, 10805, 269, 1656, 713, 3361, 513, 1292, 6161, 585, 519, 14570, 1014, 2229, 607, 621, 1291, 547, 22705, 25973, 538, 1514, 476, 1571, 899, 4155, 10913, 607, 1134, 607, 519, 4473, 538, 7486, 19432, 607, 519, 3075, 705, 22852, 3838, 519, 1482, 13549, 8754, 519, 3262, 540, 519, 3644, 729, 13251, 563, 8601, 519, 14570, 1014, 7453, 1876, 593, 946, 540, 1996, 519, 1876, 5061, 1004, 1869, 3136, 20406, 547, 946, 519, 796, 32016, 5061, 543, 849, 723, 1256, 13984, 606, 6708, 540, 1818, 621, 883, 606, 13055, 547, 8804, 741, 6197, 269, 22769, 5693, 2829, 602, 24455, 1369, 15896, 540, 693, 2547, 476, 1428, 10101, 540, 5869, 514, 267, 476, 1220, 10101, 540, 15267, 568, 16912, 539, 269, 634, 2817, 10684, 10837, 267, 17111, 538, 476, 1220, 277, 1472, 476, 2420, 267, 476, 279, 1556, 5061, 3755, 729, 6592, 543, 476, 1321, 267, 476, 25396, 540, 7247, 941, 10956, 25476, 269, 769, 1840, 789, 2566, 602, 519, 2698, 7274, 540, 3075, 3755, 6592, 585, 519, 942, 540, 476, 1960, 279, 268, 1220, 277, 568, 476, 4968, 267, 476, 25240, 1004, 799, 13054, 547, 693, 2547, 835, 476, 272, 269, 476, 272, 260, 540, 519, 14570, 1014, 781, 2551, 563, 6224, 22790, 476, 274, 281, 631, 24518, 7495, 13256, 454, 274, 269, 476, 272, 4985, 454, 763, 4367, 8711, 519, 9623, 4015, 2409, 602, 723, 1044, 1031, 547, 27043, 1344, 799, 13087, 721, 547, 3914, 938, 3932, 269, 2290, 540, 519, 4105, 3344, 649, 6743, 883, 729, 519, 14496, 543, 10727, 540, 519, 1239, 4015, 2409, 602, 1004, 4956, 547, 946, 563, 1103, 938, 1382, 649, 1336, 602, 519, 4998, 1239, 4015, 2409, 602, 1004, 666, 946, 616, 519, 18102, 543, 5967, 585, 2079, 454, 9223, 3534, 2231, 616, 5393, 1942, 2500, 950, 3379, 547, 3068, 3562, 19904, 11042, 269, 901, 568, 2523, 3020, 585, 2090, 5473, 1804, 3732, 7306, 543, 1804, 13664, 2127, 269, 18838, 26830, 1831, 1256, 1447, 7199, 607, 519, 1297, 540, 1382, 2055, 4679, 269, 7726, 3534, 2231, 616, 2653, 547, 5659, 269, 4578, 7127, 543, 9184, 1637, 585, 3592, 782, 12220, 666, 581, 3362, 8737, 609, 1082, 2780, 3301, 15004, 269, 5272, 7853, 814, 1185, 930, 1995, 11264, 26830, 543, 789, 3622, 798, 711, 1118, 1004, 31536, 633, 7132, 789, 2569, 9186, 269, 634, 11001, 781, 1378, 8369, 4465, 1405, 3310, 519, 4431, 550, 547, 2626, 2055, 538, 513, 1978, 6073, 269, 1703, 616, 1100, 11913, 610, 3308, 10881, 547, 3310, 519, 4431, 550, 269, 1879, 513, 4431, 550, 11392, 513, 18102, 538, 519, 13875, 267, 646, 568, 2612, 9876, 547, 2347, 519, 18102, 593, 1010, 1378, 942, 2389, 762, 269, 9521, 824, 1382, 2409, 267, 519, 4431, 550, 568, 711, 29169, 676, 519, 1382, 6293, 563, 5278, 540, 1946, 26830, 616, 4922, 1031, 607, 1239, 4015, 1505, 538, 5359, 543, 3785, 538, 519, 4890, 1249, 602, 519, 6114, 616, 10356, 538, 513, 3044, 2213, 1259, 865, 2055, 786, 581, 811, 6662, 267, 6157, 811, 865, 982, 11042, 267, 3622, 621, 568, 5266, 2656, 547, 18645, 1344, 1210, 26830, 543, 1344, 666, 581, 6394, 689, 513, 5458, 6712, 540, 606, 3919, 563, 2690, 938, 1382, 513, 18102, 267, 2854, 1312, 538, 2296, 543, 30017, 16030, 589, 274, 2450, 3817, 729, 2366, 547, 1114, 8041, 5924, 1146, 3074, 602, 723, 1044, 16761, 547, 2626, 621, 269, 634, 3119, 9115, 540, 519, 18102, 3769, 3248, 268, 10644, 540, 3075, 6057, 454, 268, 20895, 3906, 7829, 3075, 6057, 1966, 454, 268, 2382, 6627, 2126, 15961, 585, 3075, 705, 22852, 454, 268, 20895, 3075, 1852, 4031, 454, 11328, 1613, 338, 616, 849, 835, 540, 519, 1034, 10375, 2081, 540, 1239, 4015, 585, 5359, 3785, 543, 13753, 607, 789, 1683, 1101, 1688, 1344, 689, 519, 5330, 550, 269, 634, 5967, 568, 849, 8465, 538, 519, 2094, 602, 1246, 5346, 2055, 666, 581, 4280, 267, 849, 9355, 540, 519, 2243, 666, 581, 1500, 952, 519, 4431, 550, 786, 711, 1174, 269, 9282, 621, 814, 11566, 5383, 835, 540, 922, 2101, 2042, 6148, 602, 519, 5330, 550, 949, 1745, 1175, 899, 21183, 547, 2285, 856, 1344, 543, 538, 602, 2013, 519, 5967, 518, 666, 4194, 519, 1966, 676, 1028, 1005, 519, 5330, 550, 602, 8726, 646, 24172, 814, 1044, 26906, 585, 786, 581, 2808, 14804, 1100, 2339, 1018, 269, 1280, 938, 1382, 267, 11042, 941, 5342, 609, 519, 4143, 8041, 5924, 1146, 3074, 269, 17616, 649, 1305, 606, 13393, 609, 873, 543, 26655, 873, 540, 938, 6859, 563, 9827, 1284, 2052, 20644, 2336, 268, 21261, 894, 1557, 454, 268, 7454, 2852, 3594, 454, 268, 16179, 2688, 3594, 2228, 454, 268, 16179, 1557, 2228, 454, 268, 4258, 777, 1557, 454, 268, 4258, 777, 1557, 1603, 3028, 454, 268, 4258, 777, 1603, 3028, 454, 268, 5441, 1557, 454, 268, 5441, 1557, 4367, 454, 268, 5441, 1557, 1603, 3028, 454, 268, 14424, 543, 4334, 1557, 454, 268, 11426, 1557, 454, 268, 11426, 1557, 1603, 3028, 454, 268, 11426, 3594, 1603, 2533, 454, 268, 12280, 15163, 1557, 454, 268, 1684, 1250, 1557, 454, 268, 4828, 827, 2648, 454, 268, 4828, 827, 3054, 454, 268, 4828, 948, 454, 268, 4828, 1603, 948, 454, 268, 4828, 1603, 3028, 8039, 454, 268, 10749, 2228, 454, 268, 16258, 1426, 1557, 454, 268, 6723, 610, 6202, 3594, 454, 268, 5274, 2924, 1557, 454, 268, 21931, 1557, 454, 268, 9796, 547, 2328, 1557, 454, 268, 9608, 1557, 585, 2852, 454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 946, 873, 538, 10897, 675, 7913, 3828, 1231, 563, 288, 3578, 1681, 707, 1378, 23835, 3098, 454, 2252, 972, 781, 1100, 4540, 2872, 23835, 1108, 602, 10742, 707, 2115, 267, 596, 666, 2141, 1020, 707, 1378, 2688, 667, 307, 13036, 23835, 3098, 689, 15072, 269, 1452, 666, 581, 6273, 676, 10858, 2872, 4441, 267, 610, 1022, 824, 1344, 602, 781, 4143, 547, 707, 1870, 563, 2690, 1344, 827, 8888, 1367, 3631, 267, 1519, 782, 519, 4610, 789, 2270, 543, 875, 547, 2278, 873, 538, 667, 307, 13036, 267, 1294, 667, 307, 13036, 3631, 563, 17359, 2203, 1646, 2619, 454, 5591, 2339, 799, 4640, 596, 3442, 585, 8888, 610, 10128, 606, 23835, 1108, 883, 10897, 675, 7913, 3828, 1231, 267, 596, 666, 1246, 519, 2347, 2619, 2630, 547, 3391, 596, 998, 2870, 543, 14202, 532, 707, 23835, 1108, 607, 667, 307, 13036, 3631, 563, 268, 3399, 676, 17265, 543, 1620, 667, 307, 13036, 9781, 538, 10897, 675, 7913, 3828, 1231, 563, 268, 1160, 3865, 609, 707, 6074, 23835, 1108, 4640, 281, 9772, 267, 6460, 267, 8831, 267, 610, 2278, 707, 3631, 1759, 593, 519, 2115, 540, 707, 3070, 543, 2872, 563, 268, 4406, 28371, 707, 3631, 547, 13182, 789, 2811, 2324, 667, 307, 13036, 6054, 563, 268, 772, 22744, 707, 8737, 3631, 547, 10897, 675, 7913, 3828, 1231, 267, 1210, 519, 29026, 610, 513, 3732, 899, 519, 10897, 675, 7913, 3828, 1231, 2203, 14202, 518, 563, 5629, 707, 3631, 723, 1044, 23345, 547, 519, 3028, 267, 596, 666, 2483, 268, 10439, 1125, 519, 3631, 538, 707, 23835, 1108, 1210, 519, 2203, 3113, 538, 10897, 675, 7913, 3828, 1231, 25817, 563, 268, 28509, 873, 593, 606, 5571, 4493, 267, 1519, 13098, 1324, 3631, 538, 3009, 267, 21130, 3631, 267, 543, 18111, 1154, 3631, 267, 1210, 519, 5528, 538, 28509, 667, 307, 13036, 3631, 563, 268, 2422, 519, 3631, 547, 1711, 3059, 21054, 543, 513, 18618, 3113, 563, 5649, 811, 827, 519, 2994, 540, 12561, 267, 14178, 267, 543, 14291, 4540, 23835, 3098, 912, 7775, 267, 1451, 827, 875, 3631, 616, 1031, 547, 1711, 3059, 21054, 281, 7913, 21054, 543, 519, 18618, 3113, 269, 0, 6124, 6792, 538, 476, 4489, 278, 1185, 1831, 835, 540, 519, 1101, 2829, 538, 519, 772, 2529, 269, 547, 12689, 2244, 5619, 832, 267, 855, 676, 476, 4350, 271, 621, 729, 1869, 835, 540, 8938, 14633, 711, 15725, 519, 2259, 540, 8030, 269, 634, 1007, 7022, 540, 519, 2160, 540, 1715, 6792, 267, 6276, 674, 269, 2098, 20810, 2006, 267, 538, 1010, 4674, 547, 2981, 6167, 300, 883, 513, 2101, 6280, 267, 5116, 513, 1164, 10862, 593, 519, 10661, 540, 606, 26886, 4702, 2852, 269, 1677, 948, 1864, 3035, 602, 3804, 646, 5828, 547, 7905, 16910, 549, 327, 693, 519, 2160, 540, 14967, 563, 11990, 32126, 16910, 549, 327, 729, 4535, 538, 23885, 267, 14967, 593, 4989, 476, 3066, 267, 476, 6942, 279, 269, 1261, 13984, 24759, 2355, 5441, 543, 21783, 538, 476, 5002, 274, 689, 966, 6387, 321, 2830, 2160, 609, 519, 4110, 540, 25328, 540, 7177, 269, 769, 476, 5002, 276, 646, 8678, 519, 12200, 540, 519, 2160, 540, 14967, 1141, 689, 476, 4489, 276, 2394, 476, 4350, 271, 646, 729, 25760, 540, 519, 3427, 540, 7177, 269, 2334, 1032, 2797, 13542, 693, 2048, 302, 548, 7323, 685, 3361, 1864, 547, 4734, 543, 646, 7608, 519, 2990, 540, 7905, 543, 10361, 540, 519, 6406, 7177, 4972, 693, 6167, 300, 563, 17829, 945, 6785, 7905, 16910, 549, 327, 1767, 602, 646, 1185, 513, 17512, 881, 2631, 540, 4743, 538, 2543, 547, 7881, 543, 3318, 1143, 269, 769, 1715, 6792, 646, 2968, 519, 6117, 3196, 538, 3478, 513, 14261, 1876, 21892, 269, 634, 1876, 13886, 281, 1323, 957, 547, 10038, 519, 2853, 540, 3318, 4702, 543, 2244, 5619, 532, 729, 5293, 676, 519, 3557, 22694, 1155, 543, 2968, 2500, 2904, 476, 2420, 267, 476, 4350, 276, 269, 1280, 1010, 3646, 547, 5150, 8574, 540, 519, 9086, 7905, 16910, 549, 327, 729, 28165, 676, 1373, 13752, 14261, 15149, 3143, 269, 476, 272, 267, 513, 1469, 602, 646, 4749, 1644, 609, 9645, 11348, 563, 763, 2920, 27618, 519, 2025, 8274, 540, 24167, 11752, 832, 543, 2813, 513, 8274, 540, 32310, 585, 12333, 19296, 543, 8092, 11752, 832, 9967, 540, 2947, 2818, 281, 1614, 3318, 8030, 267, 835, 2244, 5619, 528, 267, 543, 519, 3557, 23910, 269, 7905, 16910, 549, 327, 2968, 922, 1101, 28579, 267, 606, 5604, 646, 4371, 2394, 4864, 476, 736, 267, 476, 3707, 273, 563, 1103, 922, 1101, 1032, 540, 5106, 630, 2863, 559, 4873, 476, 1789, 267, 476, 4350, 277, 264, 519, 1007, 8274, 11292, 476, 23714, 27121, 267, 5097, 896, 519, 22516, 16083, 269, 4107, 8030, 941, 849, 13931, 607, 5619, 832, 855, 17288, 5991, 710, 27121, 941, 11292, 585, 700, 306, 1152, 269, 634, 1101, 2854, 18362, 941, 2016, 538, 13244, 3171, 593, 5181, 476, 1321, 267, 476, 4350, 277, 267, 543, 540, 519, 1079, 4983, 525, 267, 606, 11653, 543, 513, 2244, 5619, 528, 267, 1152, 519, 5619, 528, 5293, 519, 1449, 269, 3683, 519, 1985, 4557, 1296, 519, 8274, 13931, 12422, 827, 13977, 1007, 4648, 563, 23178, 16910, 549, 327, 5156, 602, 281, 834, 763, 1967, 610, 5821, 540, 938, 1876, 2560, 786, 581, 5462, 676, 519, 10805, 8030, 543, 2244, 5619, 832, 2933, 1701, 7324, 824, 1919, 713, 2882, 519, 2384, 532, 540, 519, 3924, 269, 769, 3210, 547, 513, 24255, 267, 519, 1032, 476, 3707, 272, 4718, 519, 1101, 2847, 6327, 540, 513, 12689, 585, 22424, 564, 775, 269, 1879, 538, 476, 4198, 275, 513, 12689, 2847, 6327, 729, 3045, 592, 1194, 538, 10588, 7040, 267, 519, 8274, 4300, 4705, 543, 519, 1715, 6792, 10966, 7040, 593, 5147, 476, 1428, 267, 476, 4198, 276, 16765, 29354, 519, 2539, 5480, 543, 12199, 796, 29434, 3585, 538, 519, 8274, 779, 3870, 563, 1103, 476, 4198, 278, 519, 23328, 9450, 519, 6392, 540, 519, 8274, 543, 849, 17515, 519, 10421, 602, 835, 4759, 540, 519, 8274, 1590, 581, 519, 3557, 23910, 269, 8092, 11752, 832, 1223, 581, 10805, 676, 23596, 618, 543, 27121, 17735, 585, 909, 547, 835, 1032, 269, 1635, 476, 3192, 272, 1896, 7262, 2829, 1185, 7550, 811, 22608, 12689, 4170, 543, 30403, 547, 5431, 1715, 6792, 779, 2244, 5619, 528, 14261, 607, 6697, 547, 741, 1378, 269, 634, 8274, 2746, 539, 676, 8744, 621, 779, 4170, 538, 1899, 609, 922, 12543, 267, 12561, 513, 28465, 16923, 6514, 1141, 1614, 856, 540, 519, 2185, 2694, 616, 7677, 1639, 676, 519, 2817, 7027, 540, 7177, 1401, 3133, 619, 269, 634, 7177, 6657, 2920, 729, 29567, 1586, 676, 519, 476, 3192, 278, 23328, 547, 1683, 585, 519, 1840, 540, 1614, 2244, 5619, 528, 2818, 547, 519, 8274, 267, 7551, 2810, 621, 689, 2947, 547, 5216, 2818, 269, 769, 476, 3192, 280, 513, 1857, 4759, 729, 3773, 269, 2991, 1776, 1689, 538, 476, 1960, 274, 519, 8274, 1631, 5161, 540, 2947, 3318, 8030, 267, 1614, 3318, 5619, 832, 267, 543, 1079, 1857, 2818, 563, 23178, 16910, 549, 327, 19622, 689, 6167, 300, 538, 476, 3707, 274, 543, 8120, 547, 14967, 1141, 646, 5747, 538, 13323, 1636, 593, 2904, 476, 272, 267, 476, 3422, 272, 269, 2311, 519, 4266, 540, 713, 1603, 630, 19751, 476, 1960, 280, 264, 513, 2698, 540, 476, 1691, 267, 277, 3451, 12333, 19296, 543, 5924, 12333, 11752, 832, 723, 1044, 13931, 547, 2259, 538, 1715, 6792, 267, 782, 540, 873, 1107, 2991, 16910, 549, 327, 269, 0, 2750, 10262, 540, 519, 17030, 269, 17421, 281, 4179, 2517, 4178, 3052, 821, 5976, 12847, 2106, 985, 2593, 13478, 534, 29930, 32667, 5174, 659, 5025, 313, 454, 2026, 5053, 21152, 6410, 5087, 2429, 1018, 568, 4867, 1634, 2221, 607, 6792, 267, 909, 998, 14151, 267, 789, 941, 3168, 585, 1007, 2244, 547, 3409, 543, 4434, 519, 5053, 5692, 269, 634, 20908, 7057, 941, 538, 3406, 540, 1007, 17260, 585, 13485, 543, 8694, 909, 2870, 513, 5832, 540, 13485, 2429, 519, 12312, 528, 534, 13738, 2039, 269, 634, 5842, 2473, 32667, 5548, 2349, 4545, 729, 8547, 538, 476, 10204, 271, 676, 12429, 661, 2224, 321, 1470, 918, 3626, 267, 513, 812, 25461, 676, 519, 20908, 7057, 547, 3262, 8567, 547, 1007, 8050, 269, 12429, 918, 3626, 729, 4535, 538, 8832, 7977, 593, 4864, 476, 1015, 267, 476, 13932, 276, 269, 1261, 8452, 538, 14151, 267, 1287, 3459, 3695, 519, 2244, 602, 568, 1631, 5842, 2473, 32667, 1642, 645, 659, 17030, 269, 14716, 540, 519, 5939, 3459, 538, 476, 9965, 274, 543, 729, 6192, 538, 476, 9692, 278, 269, 634, 17030, 568, 1419, 5219, 547, 607, 519, 3043, 798, 557, 540, 519, 9390, 267, 10223, 519, 6505, 3043, 588, 25458, 334, 9096, 609, 519, 6960, 9390, 4282, 269, 898, 729, 3957, 585, 14731, 2473, 32667, 267, 513, 4168, 29966, 563, 763, 8978, 19506, 568, 4092, 476, 280, 5195, 5045, 540, 25708, 570, 1075, 5459, 267, 593, 519, 1677, 327, 517, 334, 744, 685, 617, 5069, 5842, 2473, 32667, 4095, 1763, 3569, 269, 898, 568, 1175, 1055, 540, 3955, 8063, 476, 866, 630, 1410, 527, 476, 10844, 1916, 293, 1430, 661, 2224, 321, 1470, 918, 3626, 8547, 519, 5842, 2473, 32667, 17030, 267, 4098, 4070, 538, 476, 10204, 271, 267, 1498, 519, 5939, 729, 2760, 6192, 269, 1261, 729, 513, 20908, 3726, 543, 3459, 4070, 540, 519, 1101, 5692, 5939, 593, 4989, 476, 2764, 267, 476, 10204, 271, 269, 769, 476, 12293, 278, 267, 8176, 8633, 540, 8050, 17049, 519, 20908, 7057, 689, 519, 5053, 3338, 538, 3013, 543, 8704, 8071, 4593, 753, 547, 581, 538, 5279, 540, 519, 5692, 269, 2991, 930, 21944, 6285, 676, 519, 28833, 14316, 267, 519, 5692, 729, 32206, 1063, 476, 9965, 274, 543, 476, 9692, 278, 676, 18971, 20844, 645, 2246, 16695, 20653, 1457, 1778, 543, 20844, 645, 2246, 16695, 24510, 648, 333, 345, 269, 634, 1259, 891, 2367, 941, 2111, 547, 6488, 547, 25580, 519, 5939, 568, 676, 1210, 2724, 24603, 676, 12312, 528, 534, 678, 4545, 1667, 269, 5221, 540, 782, 540, 519, 2199, 1489, 20844, 645, 2246, 16695, 20653, 1457, 1778, 267, 543, 20844, 645, 2246, 16695, 24510, 648, 333, 345, 941, 2111, 547, 16926, 519, 4056, 22695, 659, 1470, 12821, 7431, 543, 513, 1804, 960, 3196, 540, 744, 262, 617, 5069, 547, 1711, 519, 1459, 5939, 269, 12429, 1325, 517, 810, 25385, 514, 6242, 9112, 519, 3312, 20908, 3726, 5939, 540, 519, 17030, 5842, 2473, 32667, 1310, 1010, 12625, 538, 476, 11260, 7830, 269, 901, 5939, 729, 6192, 538, 476, 12293, 273, 282, 519, 6821, 941, 28889, 601, 539, 676, 519, 8071, 4593, 753, 609, 3773, 6149, 543, 18654, 27341, 6821, 267, 621, 568, 849, 2009, 602, 519, 19683, 941, 759, 584, 325, 3166, 269, 901, 5939, 267, 2705, 267, 568, 1100, 3476, 7555, 268, 621, 729, 24905, 1194, 543, 1065, 584, 12723, 585, 519, 2679, 540, 519, 1699, 7555, 5939, 1063, 476, 9965, 272, 543, 476, 6245, 278, 676, 12429, 20653, 1457, 1778, 269, 21674, 28741, 21081, 329, 517, 9112, 513, 8774, 538, 519, 2038, 476, 736, 628, 2540, 799, 5594, 6772, 11474, 609, 519, 3312, 476, 12293, 273, 5939, 268, 519, 8774, 781, 7178, 3774, 729, 9788, 593, 1283, 540, 519, 7532, 3774, 540, 519, 476, 12293, 273, 5939, 273, 563, 763, 17030, 5842, 2473, 32667, 1642, 645, 659, 729, 851, 540, 513, 3060, 540, 5053, 20616, 17260, 538, 519, 623, 25534, 17144, 1325, 3279, 267, 2059, 609, 519, 17030, 5842, 4864, 514, 543, 3465, 573, 1470, 1642, 570, 1075, 5459, 269, 1452, 1614, 17260, 941, 3238, 538, 519, 5053, 7276, 781, 4674, 547, 20882, 6805, 1004, 547, 7017, 267, 6460, 547, 30871, 267, 543, 9772, 513, 5053, 26049, 1259, 540, 1272, 269, 1452, 17260, 941, 2356, 2196, 676, 20908, 3726, 610, 519, 8071, 4593, 534, 2003, 1513, 267, 2870, 7269, 540, 5053, 3864, 2528, 543, 3310, 2429, 1007, 3338, 269, 1452, 13485, 1185, 13922, 543, 13821, 547, 6460, 519, 5065, 4892, 547, 8567, 1306, 6202, 607, 17104, 1125, 873, 269, 17030, 2456, 4547, 30042, 2831, 883, 519, 3830, 267, 1519, 13265, 267, 9640, 267, 16933, 267, 14918, 267, 23161, 267, 543, 17944, 272, 269, 12429, 12138, 14943, 4618, 328, 23266, 1221, 519, 2831, 6854, 693, 519, 3312, 5692, 538, 476, 15876, 278, 267, 799, 3769, 476, 13301, 12418, 267, 476, 5611, 13265, 267, 476, 2004, 23161, 267, 476, 1015, 9640, 267, 476, 275, 544, 4100, 267, 543, 476, 273, 544, 2737, 273, 563, 7437, 519, 9393, 787, 2853, 693, 519, 13485 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 533, 568, 513, 2318, 8870, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1018, 568, 519, 5506, 602, 7117, 2999, 476, 271, 888, 288, 269, 476, 272, 270, 1015, 454, 289, 269, 476, 272, 270, 276, 454, 290, 269, 476, 273, 270, 276, 454, 291, 269, 476, 274, 270, 276, 454, 292, 269, 476, 274, 270, 1015, 692, 11693, 281, 3230, 335, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 2330, 815, 7117, 267, 476, 272, 283, 533, 2999, 476, 1015, 454, 26473, 1600, 281, 17438, 540, 7117, 2999, 476, 271, 692, 2330, 335, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 2330, 815, 630, 335, 910, 279, 7565, 335, 268, 276, 264, 815, 7117, 692, 2171, 991, 7117, 2999, 476, 271, 454, 17798, 454, 9638, 910, 276, 7565, 335, 268, 279, 264, 2999, 476, 271, 692, 17798, 476, 276, 283, 533, 2999, 476, 279, 563, 18744, 1079, 7533, 2418, 9114, 538, 519, 2039, 281, 476, 277, 543, 476, 278, 692, 23536, 1464, 815, 476, 273, 270, 1015, 815, 476, 272, 270, 276, 454, 29682, 645, 780, 306, 6295, 606, 8635, 609, 513, 1447, 982, 1129, 912, 763, 1871, 540, 519, 4756, 786, 581, 3152, 982, 519, 4130, 1871, 543, 4130, 982, 519, 3152, 1871, 563, 328, 4318, 269, 898, 786, 9114, 1063, 519, 26037, 780, 306, 6295, 606, 8635, 609, 513, 3152, 982, 1129, 912, 763, 1871, 540, 519, 4756, 786, 581, 4130, 982, 519, 4130, 1871, 543, 3152, 982, 519, 3152, 1871, 563, 328, 4318, 269, 898, 666, 1491, 782, 519, 2418, 4849, 519, 2418, 538, 519, 2039, 563, 12421, 454, 16274, 281, 476, 5400, 4924, 476, 1001, 276, 454, 15803, 281, 476, 1724, 454, 29479, 476, 272, 281, 476, 20981, 1627, 5379, 966, 4097, 454, 29479, 476, 273, 281, 476, 30663, 1627, 3393, 966, 1789, 454, 29479, 476, 274, 281, 476, 10384, 1627, 3393, 966, 2412, 454, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1724, 3967, 476, 1001, 278, 267, 476, 2641, 281, 6812, 454, 763, 13392, 3830, 1223, 581, 9450, 547, 630, 335, 268, 276, 7565, 335, 268, 279, 6661, 336, 454, 2252, 533, 568, 513, 4759, 540, 519, 1305, 1496, 272, 267, 1015, 3910, 533, 1223, 581, 835, 540, 519, 476, 1015, 5079, 780, 763, 3830, 630, 335, 268, 276, 7565, 335, 268, 279, 264, 786, 960, 856, 547, 2999, 476, 271, 585, 519, 2039, 630, 276, 267, 279, 1040, 634, 9981, 1063, 476, 276, 543, 476, 279, 12600, 616, 476, 277, 543, 476, 278, 780, 763, 5506, 602, 7117, 2999, 271, 815, 5506, 9638, 815, 476, 276, 610, 533, 815, 476, 279, 568, 5697, 264, 815, 476, 273, 270, 1015, 815, 476, 272, 270, 276, 454, 17445, 528, 454, 16274, 281, 476, 2918, 4239, 476, 1001, 277, 454, 15803, 281, 476, 2568, 273, 454, 19613, 281, 2136, 2276, 454, 18662, 338, 281, 670, 7034, 1412, 866, 454, 29479, 476, 272, 281, 476, 278, 3583, 1627, 7906, 966, 4510, 454, 294, 5183, 281, 476, 275, 454, 25446, 281, 4065, 630, 19733, 994, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1724, 3057, 476, 1001, 278, 267, 476, 6734, 281, 4510, 454, 272, 454, 335, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 454, 9638, 1107, 476, 279, 7565, 335, 1107, 476, 276, 264, 815, 7117, 454, 2690, 533, 815, 476, 276, 543, 533, 815, 476, 279, 267, 7117, 815, 476, 271, 269, 9737, 533, 815, 476, 276, 543, 533, 815, 476, 279, 267, 7117, 814, 513, 2942, 1129, 267, 607, 630, 335, 1107, 476, 279, 264, 568, 2942, 543, 630, 335, 1107, 476, 276, 264, 568, 2318, 269, 2060, 513, 2698, 540, 476, 1015, 2009, 8870, 533, 2418, 267, 1152, 1079, 630, 335, 815, 476, 277, 543, 533, 815, 476, 278, 264, 2887, 538, 519, 2039, 476, 276, 2999, 533, 2999, 476, 279, 267, 865, 519, 5506, 568, 476, 273, 270, 1015, 610, 476, 272, 270, 276, 563, 6303, 29390, 12552, 1299, 3204, 1841, 2676, 2304, 2967, 571, 631, 3558, 454, 307, 13759, 4530, 16721, 11724, 894, 454, 1805, 9850, 281, 674, 10133, 1299, 16628, 454, 288, 742, 8270, 725, 281, 27010, 4530, 16721, 454, 16274, 281, 476, 1691, 4239, 476, 1001, 276, 454, 15803, 281, 476, 279, 1321, 276, 454, 19613, 281, 2136, 2276, 630, 7563, 994, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1428, 3057, 476, 1001, 278, 267, 476, 1626, 281, 3393, 454, 2304, 18145, 298, 5206, 912, 2252, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1018, 568, 519, 5506, 602, 7117, 2999, 476, 271, 888, 288, 269, 476, 272, 270, 1015, 454, 289, 269, 476, 272, 270, 276, 454, 290, 269, 476, 273, 270, 276, 454, 291, 269, 476, 274, 270, 276, 454, 292, 269, 476, 274, 270, 1015, 692, 2171, 666, 3815, 519, 2016, 3830, 1384, 335, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 692, 9638, 910, 476, 276, 7565, 335, 910, 476, 279, 264, 815, 7117, 692, 2171, 1294, 602, 538, 1931, 585, 7117, 547, 581, 2942, 267, 2901, 630, 335, 910, 476, 276, 264, 568, 2942, 543, 630, 335, 910, 476, 279, 264, 568, 2318, 10758, 630, 335, 910, 476, 276, 264, 568, 2318, 543, 630, 335, 910, 476, 279, 264, 568, 2942, 780, 22860, 4506, 938, 4082, 513, 3787, 2417, 267, 649, 1294, 602, 621, 1152, 7472, 513, 2942, 1587, 950, 533, 815, 476, 277, 543, 533, 815, 476, 278, 780, 13295, 267, 519, 5506, 602, 7117, 2999, 476, 271, 568, 476, 273, 270, 1015, 815, 476, 272, 270, 276, 780, 6303, 318, 692, 258, 8845, 8381, 12064, 4149, 974, 23702, 692, 293, 10133, 543, 16628, 692, 9928, 2714, 287, 307, 13759, 14818, 7093, 335, 2593, 454, 14338, 17352, 692, 276, 3613, 541, 15951, 2228, 17918, 3067, 454, 1345, 1353, 1576, 692, 8450, 1946, 27010, 4530, 16721, 568, 519, 1283, 15951, 17918, 3067, 1576, 593, 17918, 11833, 269, 3367, 3776, 17352, 692, 2252, 596, 1265, 835, 540, 1250, 9708, 5363, 267, 5225, 1491, 513, 4090, 547, 4945, 593, 519, 834, 20132, 257, 7735, 780, 12421, 454, 16274, 281, 476, 2537, 7325, 476, 1001, 274, 454, 15803, 281, 476, 1691, 454, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 2420, 7325, 476, 1001, 279, 267, 476, 866, 281, 6078, 454, 272, 454, 289, 684, 3241, 5206, 912, 9223, 6410, 547, 13662, 1016, 27917, 332, 780, 2252, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1018, 568, 519, 5506, 602, 7117, 2999, 476, 271, 888, 288, 269, 476, 272, 270, 1015, 454, 289, 269, 476, 272, 270, 276, 454, 290, 269, 476, 273, 270, 276, 454, 291, 269, 476, 274, 270, 276, 454, 292, 269, 476, 274, 270, 1015, 692, 2330, 335, 317, 273, 268, 1724, 335, 266, 2412, 14352, 335, 268, 276, 7565, 335, 268, 279, 14638, 25341, 3230, 335, 317, 273, 268, 1724, 335, 266, 2412, 283, 271, 2330, 585, 3230, 276, 283, 335, 283, 279, 2330, 912, 16920, 16670, 912, 5960, 303, 276, 1691, 866, 1030, 1704, 326, 279, 577, 326, 279, 326, 276, 577, 1822, 6349, 326, 279, 698, 274, 327, 272, 9346, 278, 756, 2465, 271, 3052, 604, 454, 3086, 267, 607, 3230, 335, 2330, 568, 606, 8870, 1287, 3230, 335, 317, 273, 268, 1724, 335, 266, 2412, 284, 336, 283, 271, 2330, 585, 1079, 2418, 540, 3230, 335, 2330, 856, 540, 476, 1015, 281, 476, 277, 543, 476, 278, 267, 799, 1797, 602, 281, 3230, 303, 7807, 2765, 346, 273, 2410, 1015, 18098, 2765, 346, 272, 2410, 276, 6525, 780, 12552, 585, 6029, 519, 7778, 1210, 519, 29236, 645, 684, 3241, 780, 24078, 8049, 547, 1174, 875, 786, 621, 1413, 899, 952, 585, 19838, 519, 2243, 2322, 519, 2783, 540, 7117, 285, 271, 269, 769, 602, 2013, 267, 519, 13392, 1131, 2490, 856, 547, 581, 630, 335, 268, 279, 7565, 335, 268, 276, 264, 3436, 476, 271, 269, 769, 971, 513, 2013, 519, 29236, 786, 1930, 18746, 855, 1287, 875, 798, 649, 1118, 713, 856, 607, 519, 3586, 513, 630, 514, 513, 265, 335, 317, 273, 264, 568, 538, 1022, 2013, 1341, 557, 10756, 25938, 1640, 15440, 454, 16274, 281, 476, 6860, 4119, 476, 1001, 271, 454, 15803, 281, 476, 5325, 278, 454, 18662, 338, 281, 667, 691, 17625, 5441, 454, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6021, 9484, 476, 1001, 280, 267, 476, 6734, 281, 5379, 454, 2304, 18145, 298, 5206, 912, 2252, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1018, 568, 519, 5506, 602, 7117, 2999, 476, 271, 888, 288, 269, 476, 272, 270, 1015, 454, 289, 269, 476, 272, 270, 276, 454, 290, 269, 476, 273, 270, 276, 454, 291, 269, 476, 274, 270, 276, 454, 292, 269, 476, 274, 270, 1015, 692, 335, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 815, 476, 271, 454, 9638, 268, 276, 7565, 335, 268, 279, 264, 815, 476, 271, 692, 763, 595, 6020, 22310, 18161, 2562, 4811, 616, 533, 284, 276, 543, 533, 284, 279, 563, 18744, 693, 891, 1079, 2565, 2798, 1281, 533, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 815, 476, 271, 563, 2414, 3313, 519, 9832, 538, 799, 533, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 2999, 476, 271, 267, 1449, 835, 1871, 547, 519, 2451, 543, 1318, 540, 1142, 2565, 1448, 780, 2467, 616, 1614, 9832, 547, 2015, 912, 335, 2999, 476, 276, 267, 476, 276, 2999, 533, 2999, 476, 279, 267, 533, 3436, 476, 279, 454, 2252, 533, 284, 271, 610, 533, 284, 1911, 267, 1287, 533, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 568, 5693, 24321, 2969, 2207, 982, 476, 271, 267, 31552, 602, 533, 283, 276, 543, 533, 285, 279, 616, 711, 14323, 9832, 563, 3412, 6473, 912, 763, 1152, 14323, 2039, 568, 476, 276, 2999, 533, 2999, 476, 279, 563, 13295, 267, 540, 519, 476, 1015, 9981, 1063, 476, 272, 543, 476, 1015, 267, 8537, 267, 1152, 1079, 4534, 476, 277, 543, 476, 278, 4534, 786, 6556, 513, 2942, 585, 533, 11054, 910, 476, 1724, 335, 1341, 476, 2412, 912, 11377, 2765, 346, 273, 2410, 1015, 348, 815, 1422, 2765, 346, 272, 2410, 276, 15732, 6303, 29390, 29479, 543, 24321, 570, 12460, 454, 7021, 476, 5197, 271, 13794, 454, 29479, 294, 15843, 29369, 287, 326, 21166, 2593, 454, 6124, 3840, 267, 12924, 454, 2252, 596, 1265, 835, 540, 1250, 9708, 5363, 267, 5225, 1491, 513, 4090, 547, 4945, 593, 519, 834, 20132, 257, 12835, 563, 13510, 9005, 585, 23468, 538, 12924, 290, 543, 1279, 26591, 563, 3725, 281, 1403, 533, 317, 273, 1107, 476, 1724, 335, 1341, 476, 2412, 815, 7117, 267, 543, 533, 568, 513, 2318, 8870, 1063, 476, 272, 5231, 1496, 258, 21529, 316, 476, 6021, 9484, 476, 1001, 280, 267, 476, 6734, 281, 5379, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 1012, 3245, 513, 667, 16244, 779, 21887, 692, 3849, 4784, 569, 267, 594, 917, 1360, 2370, 827, 782, 540, 519, 2930, 3344, 540, 1007, 751, 4582, 2888, 610, 1164, 12413, 6873, 8613, 630, 8461, 29552, 1070, 855, 594, 1705, 513, 1434, 3787, 540, 1382, 1247, 3843, 547, 6430, 799, 8613, 547, 4444, 269, 16593, 2685, 713, 3391, 786, 948, 930, 824, 1004, 609, 607, 2370, 2930, 1702, 827, 1007, 751, 4582, 2888, 607, 594, 723, 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 ]

[ 1079, 11708, 267, 3113, 476, 272, 543, 3113, 476, 273, 267, 799, 835, 4564, 513, 1305, 540, 1239, 609, 513, 3677, 3044, 11539, 286, 11512, 875, 547, 17589, 3044, 3339, 3892, 2016, 513, 1239, 1305, 269, 2353, 7126, 27616, 269, 634, 13852, 4354, 557, 281, 634, 3113, 540, 513, 3339, 3892, 568, 1634, 607, 513, 11350, 7455, 269, 1934, 568, 2347, 1305, 540, 476, 1911, 271, 266, 13038, 14893, 5999, 543, 12226, 267, 2776, 341, 910, 17438, 543, 10803, 5999, 543, 12226, 1107, 7313, 24480, 17392, 267, 8921, 910, 17438, 543, 10803, 5999, 543, 12226, 1107, 5890, 11228, 17392, 267, 22263, 5811, 5999, 543, 12226, 1107, 22263, 17992, 543, 1230, 23728, 267, 22263, 5811, 5999, 543, 12226, 1107, 12430, 16338, 12307, 543, 2098, 1107, 3690, 13257, 267, 17224, 517, 27658, 7177, 5999, 543, 12226, 267, 5450, 718, 17790, 7177, 5999, 543, 12226, 267, 25328, 540, 8950, 10241, 5999, 543, 12226, 267, 17224, 18209, 7177, 5999, 543, 12226, 267, 7177, 8212, 594, 5999, 543, 12226, 267, 16581, 7177, 5999, 543, 12226, 267, 2598, 4740, 9119, 5999, 543, 12226, 267, 18926, 10866, 6513, 5999, 543, 12226, 267, 10084, 14691, 6201, 593, 31592, 10819, 1299, 27122, 267, 595, 10030, 14691, 6201, 593, 31592, 10819, 1299, 27122, 267, 595, 14691, 6201, 593, 31592, 10819, 1299, 27122, 267, 7177, 9119, 5999, 543, 12226, 267, 15303, 2762, 543, 8416, 8232, 5999, 543, 12226, 267, 17438, 543, 10803, 5999, 543, 12226, 1107, 15214, 613, 6248, 20518, 1903, 269, 634, 1858, 896, 513, 3044, 3339, 7455, 568, 286, 513, 264, 20134, 769, 513, 3339, 3892, 519, 1611, 568, 4642, 543, 519, 3044, 11539, 568, 476, 272, 269, 769, 713, 2013, 267, 1210, 519, 3339, 3892, 6238, 693, 2942, 20581, 269, 634, 4463, 540, 513, 3339, 5860, 7455, 693, 513, 2016, 1448, 1535, 568, 2016, 676, 1547, 1411, 666, 1294, 593, 519, 11350, 7455, 602, 476, 272, 269, 5952, 332, 568, 476, 274, 3044, 24017, 689, 519, 1611, 540, 476, 272, 269, 275, 267, 865, 281, 2659, 3659, 781, 4463, 814, 513, 834, 345, 1606, 14537, 257, 540, 476, 274, 269, 271, 898, 568, 849, 2009, 547, 5173, 875, 1082, 3044, 2560, 546, 264, 595, 20654, 766, 12902, 476, 274, 543, 513, 3368, 593, 513, 3044, 5884, 568, 7543, 267, 543, 814, 5506, 4642, 1070, 713, 568, 711, 865, 538, 519, 2013, 540, 513, 6024, 4351, 4756, 269, 901, 2626, 814, 1044, 9672, 607, 2953, 543, 5363, 269, 1411, 666, 1689, 707, 740, 7375, 20471, 269, 589, 16453, 5860, 7455, 814, 799, 540, 519, 1739, 3601, 286, 769, 1840, 267, 519, 1611, 267, 11667, 543, 7154, 2049, 693, 519, 1482, 1448, 269, 18880, 585, 606, 12825, 4351, 4756, 2049, 538, 971, 513, 1259, 602, 972, 616, 7864, 1804, 2418, 543, 811, 1507, 2418, 269, 1677, 1294, 713, 267, 952, 4399, 3667, 346, 311, 348, 1422, 13678, 1422, 3667, 346, 308, 32710, 3667, 21151, 9574, 1422, 3667, 15830, 348, 7751, 543, 1269, 24560, 3667, 12757, 9574, 1422, 3667, 12757, 23180, 3667, 18097, 348, 316, 259, 568, 513, 1016, 5793, 1998, 540, 1269, 24560, 3667, 21151, 9574, 1422, 3667, 15830, 348, 316, 259, 609, 6378, 4399, 3667, 18097, 348, 285, 271, 8961, 1287, 267, 519, 4542, 3254, 281, 4399, 6234, 11513, 3667, 346, 325, 32710, 3667, 12757, 16585, 815, 1422, 8218, 26231, 1162, 348, 1422, 2765, 2715, 476, 272, 25452, 1422, 3667, 15830, 32757, 3667, 21151, 348, 7684, 1299, 315, 3667, 346, 1721, 7684, 1422, 3667, 21151, 4153, 548, 1422, 3667, 12757, 4153, 548, 1422, 3667, 15830, 348, 8607, 476, 271, 1299, 1422, 3667, 346, 604, 7684, 1422, 3667, 12757, 348, 31046, 1422, 3667, 346, 283, 348, 31046, 1422, 3667, 21151, 348, 31046, 1422, 3667, 346, 528, 348, 31046, 1422, 3667, 12757, 348, 31046, 1422, 3667, 346, 285, 348, 31046, 1422, 3667, 15830, 348, 1422, 754, 26231, 1162, 3686, 10608, 476, 277, 269, 272, 634, 9208, 16453, 17392, 16453, 17392, 1403, 513, 6024, 4351, 4756, 814, 513, 3892, 609, 513, 3113, 602, 568, 21136, 543, 11350, 11057, 267, 649, 2161, 602, 621, 814, 513, 3339, 3892, 269, 5999, 4280, 676, 519, 1482, 21233, 269, 546, 264, 711, 3989, 634, 6024, 7833, 3892, 568, 513, 1920, 540, 21136, 5506, 14778, 538, 799, 782, 11996, 540, 519, 1482, 3259, 616, 8449, 21483, 269, 634, 1858, 1657, 519, 4399, 3667, 12757, 4151, 268, 9471, 543, 896, 519, 7455, 1590, 3160, 835, 267, 609, 519, 1858, 896, 519, 7455, 8204, 519, 5506, 269, 2368, 540, 519, 3601, 540, 513, 3044, 3339, 3892, 616, 5018, 2630, 281, 634, 3339, 7455, 568, 21136, 827, 519, 1611, 543, 11350, 8032, 269, 634, 4463, 540, 513, 3339, 5860, 7455, 693, 513, 2016, 1448, 1535, 568, 2016, 676, 634, 7455, 568, 21136, 827, 519, 1611, 269, 9521, 513, 5506, 267, 513, 5506, 5860, 1599, 666, 1491, 593, 2418, 3152, 982, 835, 269, 634, 3948, 568, 7301, 269, 2290, 2601, 585, 741, 8560, 568, 519, 3844, 3970, 11532, 267, 799, 2829, 602, 630, 8974, 7646, 2175, 264, 519, 1611, 540, 513, 1804, 1297, 540, 4351, 4632, 10446, 6537, 689, 519, 1482, 3892, 568, 7856, 5111, 7363, 267, 28000, 540, 519, 1106, 540, 519, 3312, 3892, 269, 634, 1858, 568, 476, 271, 269, 11820, 274, 269, 634, 5860, 7455, 568, 513, 6366, 1899, 14178, 689, 519, 5934, 1871, 547, 519, 5021, 1871, 269, 634, 2451, 1034, 6241, 6645, 596, 875, 1082, 3044, 24017, 1657, 519, 519, 1611, 547, 476, 272, 8918, 1747, 269, 18040, 2969, 4959, 5990, 715, 3036, 300, 3201, 595, 7838, 12717, 901, 568, 950, 519, 1239, 568, 7856, 14961, 1472, 513, 1647, 1871, 269, 901, 1249, 4665, 919, 519, 3892, 779, 2012, 269, 630, 6758, 2421, 2998, 4355, 815, 6885, 269, 6758, 2421, 2998, 4355, 13466, 32582, 1040, 335, 2313, 20719, 348, 5148, 589, 6024, 5506, 3892, 568, 513, 6041, 540, 513, 4756, 602, 666, 1491, 513, 6024, 2039, 540, 2418, 269, 1924, 267, 952, 649, 31372, 585, 476, 1789, 7643, 543, 519, 1101, 12625, 4769, 1406, 4755, 630, 7445, 3667, 346, 307, 348, 285, 1789, 259, 1070, 519, 5506, 602, 649, 3580, 991, 547, 7227, 1776, 476, 1015, 7643, 585, 519, 1101, 12625, 630, 7445, 3667, 346, 307, 348, 285, 263, 1789, 266, 1015, 7751, 264, 568, 519, 1482, 607, 519, 3355, 5506, 602, 649, 991, 547, 7227, 811, 982, 476, 1015, 7643, 585, 519, 1101, 12625, 630, 7445, 3667, 346, 307, 348, 285, 1015, 259, 1040, 634, 1489, 568, 3989, 676, 519, 1079, 6724, 267, 4399, 3667, 21151, 4151, 543, 4399, 3667, 15830, 20954, 799, 616, 922, 5934, 543, 5021, 2418, 269, 901, 2013, 568, 2111, 547, 1267, 538, 2942, 2418, 585, 930, 540, 519, 2164, 269, 1411, 666, 1294, 593, 519, 11350, 7455, 602, 476, 272, 269, 5952, 332, 568, 476, 274, 3044, 24017, 689, 519, 1611, 540, 476, 272, 269, 275, 267, 865, 281, 2659, 3659, 781, 4463, 814, 513, 834, 345, 1606, 14537, 257, 540, 476, 274, 269, 271, 1547, 634, 1858, 896, 519, 3339, 3892, 7455, 4564, 5506, 543, 519, 2698, 1858, 896, 519, 7455, 18304, 547, 835, 269, 4399, 3667, 21151, 13157, 271, 259, 543, 4399, 3667, 15830, 13157, 1428, 10608, 1280, 1383, 267, 952, 649, 1616, 547, 917, 519, 5506, 602, 513, 4756, 568, 1100, 811, 982, 476, 271, 269, 7906, 3044, 24017, 1657, 519, 1611, 267, 649, 1265, 2824, 519, 476, 277, 628, 4737, 1524, 630, 14585, 22046, 532, 547, 476, 271, 269, 276, 264, 543, 519, 476, 273, 526, 6241, 630, 14585, 22046, 532, 547, 476, 271, 269, 4905, 1040, 3962, 3368, 540, 519, 3892, 568, 513, 11604, 3239, 540, 519, 824, 3368, 269, 10251, 267, 538, 1034, 2665, 538, 799, 519, 3339, 3892, 4249, 513, 1909, 267, 519, 1611, 568, 711, 476, 271, 543, 519, 3044, 11539, 568, 711, 476, 272, 269, 634, 1739, 568, 1776, 2241, 1383, 281, 1265, 4399, 3667, 346, 303, 32710, 3667, 346, 313, 4153, 28254, 476, 272, 269, 1704, 30879, 19626, 25760, 543, 22526, 19129, 869, 20391, 267, 23120, 15932, 25159, 281, 634, 31538, 17392, 269, 634, 3339, 7455, 568, 513, 21136, 3892, 609, 835, 8445, 267, 799, 1797, 519, 1611, 267, 11667, 267, 543, 7154, 616, 782, 3160, 269, 901, 1797, 602, 1034, 540, 519, 4767, 1239, 568, 7265, 1229, 2282, 519, 1611, 267, 1247, 519, 1239, 1831, 1447, 7928, 950, 20991, 2476, 689, 519, 1611, 269, 634, 5506, 602, 513, 14477, 5697, 4807, 568, 1063, 476, 2568, 269, 274, 543, 476, 4792, 6279, 7381, 269, 9540, 3604, 1063, 606, 1367, 779, 4463, 543, 519, 1611, 2049, 811, 4749, 982, 8101, 24017, 689, 519, 1611, 269, 536, 264, 476, 272, 634, 2698, 6871, 540, 1858, 540, 519, 3339, 7455, 1369, 1079, 2798, 540, 27614, 566, 568, 6378, 281, 27051, 476, 6924, 269, 2918, 260, 1858, 540, 519, 7455, 8813, 1369, 519, 7182, 540, 13008, 272, 3044, 11539, 1770, 689, 519, 1611, 607, 3254, 538, 4137, 2630, 269, 769, 2665, 1141, 621, 568, 7543, 547, 2268, 1169, 4759, 540, 513, 2551, 267, 519, 3044, 11539, 949, 581, 6059, 1210, 513, 4351, 3732, 269, 595, 264, 634, 3262, 540, 519, 7455, 568, 14354, 547, 519, 3044, 11539, 269, 1280, 513, 3339, 3892, 922, 1611, 267, 11667, 267, 7154, 616, 3160, 269, 589, 16453, 5860, 7455, 814, 799, 540, 519, 1739, 3601, 286, 20290, 782, 630, 4200, 269, 278, 260, 3738, 540, 519, 1239, 786, 2887, 1369, 476, 274, 3044, 24017, 540, 519, 1611, 269, 6399, 267, 7154, 543, 11667, 568, 2560, 536, 264, 476, 272, 524, 264, 7054, 10585, 15932, 24438, 634, 3337, 540, 519, 16453, 4354, 557, 568, 13322, 13090, 513, 264, 476, 271, 898, 568, 513, 11350, 8032, 543, 796, 574, 27567, 7455, 269, 901, 1505, 568, 1360, 3730, 538, 7811, 960, 269, 634, 7411, 2855, 2478, 689, 519, 1249, 602, 938, 3349, 540, 2418, 1281, 711, 1450, 721, 547, 2047, 5173, 4399, 3667, 346, 303, 32710, 3667, 346, 313, 4153, 19008, 910, 272, 269, 1626, 30879, 589, 2489, 1505, 568, 519, 11201, 2981, 10386, 1505, 267, 799, 3096, 519, 19469, 3892, 1599, 630, 290, 5263, 264, 540, 519, 3077, 4351, 4756, 269, 524, 264, 31763, 850, 11539, 536, 264, 2598, 4740, 15932, 24438, 476, 273, 269, 634, 12170, 4341, 568, 513, 13561, 2656, 7447, 540, 519, 3262, 540, 519, 1239, 2016, 519, 1611, 543, 3044, 11539, 540, 513, 1239, 1305, 602, 5205, 3339, 3892, 269, 546, 264, 3502, 6378, 1717, 267, 713, 568, 519, 5506, 602, 519, 1871, 568, 1447, 982, 476, 272, 269, 1704, 521, 580, 5733, 1657, 519, 1611, 269, 634, 12825, 3892, 568, 1419, 7255, 609, 519, 2179, 540, 942, 2394, 930, 1808, 2680, 4386, 269, 8641, 476, 272, 281, 13852, 7455, 3308, 1944, 513, 3339, 3892, 609, 513, 5266, 1507, 3044, 11539, 269, 2271, 30698, 569, 267, 513, 6024, 4351, 4756, 568, 519, 835, 799, 666, 1491, 513, 6024, 2039, 540, 2418, 2443, 607, 10353, 547, 513, 15768, 3892, 267, 1141, 519, 1305, 540, 2009, 2418, 585, 519, 4351, 4756, 568, 693, 1034, 1293, 762, 269, 6465, 2065, 2103, 1289, 513, 3892, 609, 513, 11350, 11057, 7455, 513, 3339, 3892, 269, 645, 264, 898, 814, 513, 8445, 10704, 1657, 922, 1611, 269, 546, 264, 23893, 1871, 4386, 693, 782, 2798, 546, 264, 476, 271, 25037, 10386, 689, 513, 7833, 3892, 543, 689, 606, 17062, 3892, 269, 769, 1931, 547, 4605, 519, 1871, 540, 519, 3044, 11539, 540, 513, 3339, 3892, 543, 621, 779, 6935, 547, 519, 8700, 610, 3262, 540, 513, 11350, 7455, 267, 2015, 519, 1739, 11708, 269, 16453, 17392, 568, 21136, 568, 827, 13322, 13090, 536, 264, 9208, 11539, 634, 2798, 693, 1535, 284, 21718, 543, 1535, 284, 21718, 616, 519, 1102, 3005, 2798, 593, 519, 3339, 7455, 269, 524, 264, 476, 273, 634, 3339, 3892, 568, 513, 15768, 3892, 269, 634, 4214, 2829, 602, 513, 6024, 5506, 3892, 1590, 4865, 513, 5860, 282, 610, 5973, 1836, 267, 922, 19469, 3892, 1599, 581, 11613, 6024, 269, 634, 3339, 7455, 568, 513, 21136, 3892, 609, 835, 25991, 8445, 267, 799, 1797, 519, 25991, 1611, 267, 11667, 267, 543, 7154, 616, 782, 3160, 269, 12126, 4475, 267, 519, 3339, 7455, 568, 21136, 827, 519, 25991, 1611, 267, 13179, 269, 8437, 1586, 547, 1294, 2165, 476, 272, 270, 7367, 634, 3892, 568, 1419, 28484, 4399, 3667, 346, 308, 32710, 3667, 21151, 9574, 1422, 3667, 15830, 348, 30879, 2422, 519, 3113, 547, 2697, 519, 1871, 540, 18665, 543, 29178, 269, 634, 3339, 3892, 1871, 568, 15186, 4642, 950, 519, 1871, 1535, 6013, 811, 982, 513, 1906, 3044 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4058, 513, 7552, 602, 3322, 1614, 476, 279, 476, 6187, 4924, 476, 1001, 272, 267, 476, 2641, 281, 1626, 454, 20135, 3845, 547, 1200, 10278, 269, 476, 274, 476, 2764, 4455, 476, 1001, 271, 267, 476, 5881, 281, 1626, 454, 1103, 476, 3192, 280, 5111, 540, 519, 476, 4391, 269, 274, 2929, 29617, 15915, 476, 275, 476, 1724, 2904, 476, 1220, 277, 267, 476, 1724, 281, 4391, 454, 534, 29617, 949, 936, 1504, 513, 8184, 547, 2327, 513, 2407, 18213, 476, 273, 476, 3066, 4239, 476, 1220, 276, 267, 476, 1015, 281, 6078, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 9223, 692, 258, 1280, 513, 1587, 267, 5663, 3790, 723, 1044, 6059, 693, 8096, 476, 4968, 267, 1822, 538, 6378, 3790, 829, 1032, 13718, 2690, 513, 1587, 267, 5663, 3790, 723, 1044, 6059, 693, 8096, 476, 4968, 267, 1822, 538, 6378, 3790, 829, 1032, 543, 8096, 476, 276, 829, 1770, 538, 4756, 3790, 269, 634, 9042, 3902, 786, 581, 8096, 476, 278, 1315, 1770, 543, 519, 2030, 568, 16912, 539, 547, 723, 513, 4390, 547, 3132, 476, 1220, 267, 1822, 4559, 829, 1032, 269, 14419, 1018, 2600, 540, 519, 4390, 519, 2030, 1590, 7500, 547, 2057, 9561, 610, 10888, 952, 649, 8263, 602, 1142, 1770, 3812, 666, 581, 4421, 780, 320, 563, 3583, 30515, 321, 269, 476, 4037, 30515, 322, 563, 2568, 30515, 323, 563, 4792, 30515, 324, 563, 4649, 30515, 17954, 752, 1256, 1448, 630, 538, 4559, 3738, 815, 674, 12089, 1942, 1315, 9295, 829, 1770, 692, 11693, 267, 674, 12089, 3790, 815, 8096, 274, 267, 876, 267, 1822, 692, 6944, 9084, 829, 1770, 815, 9513, 3902, 829, 1770, 910, 4756, 1942, 829, 1770, 692, 284, 8096, 278, 910, 8096, 276, 815, 8096, 273, 692, 17798, 267, 2736, 1256, 4559, 815, 8096, 274, 267, 876, 267, 1822, 270, 15478, 273, 815, 476, 272, 267, 2004, 267, 1822, 4559, 692, 11997, 267, 952, 519, 11769, 568, 2111, 547, 3132, 476, 272, 267, 2004, 267, 1822, 4559, 267, 6533, 972, 1131, 581, 1100, 7443, 610, 2530, 780, 12244, 1377, 693, 799, 2736, 1256, 4523, 568, 281, 1297, 540, 4559, 547, 581, 3812, 14121, 4973, 5663, 4390, 692, 284, 476, 272, 267, 2004, 267, 1822, 270, 273, 267, 876, 267, 1822, 265, 1911, 815, 476, 4037, 260, 780, 4263, 476, 4037, 260, 4390, 1377, 267, 11004, 1131, 581, 1100, 7443, 610, 2530, 547, 519, 11769, 780, 1156, 576, 267, 519, 4781, 568, 645, 780, 2971, 2423, 333, 3213, 1231, 692, 10870, 1231, 666, 581, 28099, 14855, 585, 32263, 13344, 269, 0, 2162, 476, 274, 269, 5197, 277, 6695, 842, 1422, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 264, 630, 320, 524, 23444, 321, 524, 266, 320, 546, 264, 1535, 17070, 546, 1535, 317, 273, 14587, 22773, 15848, 9681, 18893, 2711, 269, 23516, 2450, 284, 6872, 1269, 10559, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 264, 630, 321, 524, 8584, 546, 14587, 10559, 2765, 18097, 1422, 8421, 630, 320, 17070, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 23180, 2765, 18097, 1422, 8421, 630, 322, 266, 323, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 10592, 314, 11073, 6540, 24179, 272, 270, 9230, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 31618, 320, 1109, 266, 1109, 321, 20080, 30727, 1109, 268, 1109, 5560, 265, 19868, 314, 320, 1109, 266, 1109, 321, 20080, 8079, 14370, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 1109, 266, 1109, 5560, 265, 19868, 314, 322, 1109, 266, 1109, 323, 20080, 8079, 14370, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 692, 21228, 21228, 6303, 3071, 692, 305, 889, 328, 1496, 288, 316, 1109, 942, 815, 476, 271, 269, 271, 3374, 30589, 274, 267, 1884, 3187, 29719, 2450, 815, 476, 6872, 267, 28348, 2450, 540, 1884, 3187, 29719, 815, 476, 272, 1421, 1297, 540, 3268, 1031, 815, 476, 274, 267, 1297, 540, 3652, 1031, 815, 476, 273, 267, 2076, 8681, 2450, 815, 476, 3066, 267, 6695, 2765, 3189, 3667, 346, 15893, 540, 3652, 24828, 3667, 346, 15759, 8681, 2450, 24995, 815, 476, 271, 269, 6187, 280, 267, 16390, 1031, 815, 2715, 277, 2918, 267, 476, 4510, 348, 1269, 10559, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 264, 630, 321, 524, 8584, 546, 14587, 10559, 2765, 18097, 1422, 8421, 630, 320, 17070, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 23180, 2765, 18097, 1422, 8421, 630, 322, 266, 323, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 10592, 12901, 3187, 29719, 729, 6707, 2357, 328, 16667, 539, 780, 314, 1103, 6540, 4504, 314, 272, 270, 9230, 320, 1109, 266, 1109, 321, 20080, 31618, 320, 265, 322, 1109, 266, 1109, 6357, 265, 322, 1109, 266, 1109, 320, 265, 323, 12684, 343, 1109, 266, 1109, 321, 265, 323, 20080, 317, 273, 24270, 343, 6540, 314, 11073, 6540, 24179, 272, 270, 9230, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 31618, 320, 1109, 266, 1109, 321, 20080, 30727, 1109, 268, 1109, 5560, 265, 19868, 314, 320, 1109, 266, 1109, 321, 20080, 8079, 14370, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 1109, 266, 1109, 5560, 265, 19868, 314, 322, 1109, 266, 1109, 323, 20080, 8079, 14370, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 692, 305, 2544, 476, 277, 2918, 692, 4504, 314, 9230, 323, 318, 264, 1109, 266, 1109, 16216, 318, 4700, 16732, 343, 318, 4297, 22677, 332, 318, 4700, 265, 9230, 320, 318, 4700, 1109, 266, 1109, 6357, 318, 4700, 16732, 343, 318, 264, 1109, 266, 1109, 6262, 318, 4700, 16732, 343, 318, 8203, 273, 8203, 263, 335, 318, 13776, 1109, 343, 318, 15228, 2513, 316, 1109, 281, 285, 1109, 4504, 27007, 323, 1109, 266, 1109, 324, 20080, 8203, 263, 332, 1109, 266, 1109, 335, 31618, 320, 454, 7933, 1109, 266, 1109, 6262, 20080, 8358, 324, 8203, 335, 267, 1109, 343, 316, 1109, 270, 282, 1109, 10403, 304, 314, 346, 320, 267, 1109, 321, 267, 1109, 322, 267, 1109, 323, 267, 1109, 324, 267, 1109, 332, 9574, 1109, 343, 316, 1109, 261, 261, 1109, 10468, 304, 314, 321, 317, 273, 1109, 268, 1109, 275, 265, 320, 265, 322, 267, 1109, 271, 316, 1109, 261, 261, 1109, 292, 336, 304, 314, 322, 265, 323, 317, 273, 1109, 268, 1109, 321, 265, 323, 265, 324, 1109, 266, 1109, 320, 265, 324, 317, 273, 267, 1109, 271, 316, 1109, 261, 261, 454, 18204, 518, 304, 314, 335, 6540, 305, 2544, 476, 4510, 692, 4504, 314, 9230, 320, 318, 264, 1109, 266, 1109, 6357, 318, 4700, 16732, 343, 318, 4297, 22677, 332, 318, 4700, 265, 9230, 322, 318, 4700, 1109, 266, 1109, 5560, 318, 4700, 16732, 343, 318, 4297, 22677, 333, 318, 13776, 1109, 343, 318, 15228, 2513, 316, 1109, 281, 285, 1109, 4504, 314, 22091, 663, 18204, 8681, 27007, 320, 1109, 266, 1109, 321, 20080, 8203, 332, 16732, 322, 1109, 266, 1109, 323, 20330, 343, 8203, 333, 267, 1109, 343, 3910, 1109, 343, 316, 1109, 270, 282, 1109, 10403, 304, 314, 346, 320, 267, 1109, 321, 267, 1109, 322, 267, 1109, 323, 9574, 1109, 343, 316, 1109, 261, 261, 1109, 10468, 304, 314, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 267, 1109, 271, 316, 1109, 261, 261, 1109, 6579, 339, 304, 314, 332, 267, 1109, 271, 316, 1109, 261, 261, 1109, 18204, 518, 304, 19559, 316, 1109, 261, 261, 1109, 1109, 256, 263, 5456, 339, 304, 19559, 267, 1109, 271, 316, 1109, 261, 261, 1109, 299, 454, 339, 304, 314, 332, 1109, 266, 1109, 333, 1109, 266, 1109, 273, 267, 1109, 271, 20285, 305, 889, 328, 3268, 692, 17961, 9387, 15857, 1422, 842, 1422, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 264, 1422, 3847, 630, 320, 524, 23444, 321, 524, 266, 320, 546, 264, 1535, 17070, 546, 1535, 317, 273, 9368, 3738, 348, 22773, 15848, 1299, 7807, 842, 1422, 2765, 346, 272, 2410, 263, 320, 17070, 1535, 8203, 273, 630, 322, 266, 323, 1535, 14587, 22773, 15848, 11138, 1299, 7807, 842, 1422, 3847, 22570, 2765, 15830, 2410, 263, 321, 524, 8584, 546, 264, 630, 320, 17070, 1535, 8203, 273, 32757, 2765, 15830, 546, 2410, 263, 321, 524, 8584, 546, 8203, 273, 630, 320, 17070, 1535, 14587, 10954, 2765, 18097, 317, 273, 2410, 263, 321, 524, 8584, 546, 8203, 273, 630, 322, 266, 323, 1535, 264, 4153, 2431, 3738, 22773, 15848, 11138, 17851, 10559, 2765, 346, 272, 2410, 263, 321, 524, 8584, 546, 264, 630, 320, 17070, 1535, 14587, 10559, 2765, 18097, 1422, 8421, 630, 320, 17070, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 23180, 2765, 18097, 1422, 8421, 630, 322, 266, 323, 1535, 20972, 263, 321, 524, 8584, 546, 8203, 273, 27874, 1422, 754, 9387, 265, 10926, 12385, 11490, 320, 1496, 288, 316, 1109, 942, 815, 476, 271, 269, 271, 2537, 279, 1626, 276, 267, 2450, 815, 476, 7871, 267, 28348, 2450, 815, 476, 271, 269, 11152, 4399, 2765, 18097, 630, 320, 17070, 1535, 264, 1422, 8421, 630, 322, 266, 323, 1535, 9984, 323, 630, 320, 17070, 1535, 264, 1422, 8421, 630, 320, 17070, 1535, 11924, 320, 546, 1532, 524, 2410, 263, 320, 17070, 1535, 264, 630, 321, 524, 8584, 546, 8203, 273, 10592, 12901, 3187, 29719, 729, 6707, 2357, 328, 16667, 539, 780, 314, 1103, 6540, 18204, 3433, 314, 272, 270, 9230, 320, 1109, 266, 1109, 321, 20080, 31618, 320, 265, 322, 1109, 266, 1109, 6357, 265, 322, 1109, 266, 1109, 320, 265, 323, 12684, 343, 1109, 266, 1109, 321, 265, 323, 20080, 317, 273, 24270, 343, 6540, 314, 11073, 6540, 8987, 263, 321, 265, 322, 264, 1109, 266, 1109, 320, 265, 323, 1109, 268, 1109, 323, 16732, 320, 1109, 266, 1109, 321, 20080, 12684, 19868, 314, 320, 1109, 266, 1109, 321, 20080, 316, 1109, 266, 1109, 323, 16732, 320, 1109, 266, 1109, 321, 20080, 12684, 19868, 314, 322, 1109, 266, 1109, 323, 20080, 8079, 270, 9230, 321, 265, 322, 1109, 268, 1109, 320, 265, 323, 8203, 273, 16732, 320, 1109, 266, 1109, 321, 20080, 11723, 21228, 21228, 6303, 3071, 692, 300, 18393, 1496, 288, 316, 1109, 942, 815, 476, 271, 269, 4962, 267, 2450, 815, 476, 6872, 267, 28348, 2450, 815, 476, 272, 269, 1422, 8218, 9387, 265, 7346, 2765, 18097, 315, 15238, 1422, 3847, 630, 15848, 25239, 1422, 2431, 3738, 25452, 1422, 3847, 630, 740, 1532, 322, 1422, 2431, 3738, 476, 3867, 273, 3686, 15396, 3189, 2765, 346, 272, 2410, 1422, 3847, 630, 740, 1532, 322, 1422, 2431, 3738, 1422, 3847, 630, 536, 343, 266, 320, 1422, 2431, 3738, 31998, 268, 3189, 2765, 18097, 315, 15238, 1422, 3847, 630, 536, 343, 266, 320, 1422, 2431, 3738, 25452, 1422, 3847, 630, 740, 1532, 322, 1422, 2431, 3738, 476, 3867, 273, 3686, 348, 1422, 754, 9387, 265, 10926, 19723, 328, 16667, 322, 566, 540, 1884, 3187, 29719, 568, 711, 4867, 8045, 585, 713, 31909, 780, 314, 1103, 6540, 842, 263, 272, 14370, 321, 20080, 266, 320, 19422, 320, 265, 322, 23444, 320, 265, 323, 17070, 265, 322, 12684, 343, 17070, 265, 323, 20080, 317, 273, 1070, 343, 2020, 314, 11073, 6540, 323, 14370, 320, 265, 323, 1532, 265, 322, 8203, 273, 265, 15238, 5560, 20080, 25239, 11924, 272, 14370, 320, 265, 323, 1532, 265, 322, 19422, 321, 20080, 266, 320, 9984, 323, 14370, 320, 265, 323, 1532, 265, 322, 8203, 273, 265, 15238, 6357, 20080, 266, 320, 2020, 21228, 21228, 6303, 3071, 692, 16655, 9874, 1496, 288, 316, 1109, 942, 815, 476, 272, 269, 271, 5379, 272, 267, 2450, 815, 476, 14862, 267, 28348, 2450, 815, 476, 273, 269, 1240, 1422, 8218, 9387, 15857, 28363, 2765, 18097, 1422, 8421, 1422, 3847, 630, 321, 1535, 1341, 513, 9368, 3738, 2410, 321, 3867, 273, 348, 524, 3867, 273, 348, 910, 476, 273, 22773, 513, 536, 524, 546, 1341, 513, 3867, 273, 348, 546, 3867, 273, 3686, 1341, 1422, 2765, 18097, 1422, 8421, 1422, 3847, 630, 323, 1535, 1341, 524, 9368, 3738, 2410, 321, 3867, 273, 348, 524, 3867, 273, 348, 910, 476, 273, 22773, 513, 536, 524, 546, 1341, 513, 3867, 273, 348, 546, 3867, 273, 3686, 910, 1422, 2765, 346, 272, 2410, 320, 536, 524, 910, 513, 3867, 273, 348, 546, 1341, 3189, 3847, 630, 321, 3867, 273, 348, 524, 910, 513, 536, 546, 9368, 3738, 348, 1535, 348, 1422, 754, 9387, 265, 10926, 19723, 328, 16667, 322, 566, 540, 1884, 3187, 29719, 568, 711, 4867, 8045, 585, 713, 31909, 780, 314 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3240, 6958, 822, 338, 28121, 257, 19417, 9899, 257, 277, 262, 274, 14824, 10233, 9899, 257, 565, 633, 14824, 25988, 9899, 257, 18484, 7491, 257, 10926, 336, 284, 6358, 2891, 1432, 338, 798, 596, 1616, 547, 917, 827, 803, 286, 5602, 604, 7117, 538, 1250, 6958, 822, 338, 912, 453, 30440, 284, 3240, 6958, 822, 338, 314, 336, 2639, 13537, 263, 30440, 994, 12828, 912, 1038, 1820, 2891, 8253, 5853, 23528, 0, 5814, 11885, 607, 5286, 454, 5228, 21267, 1104, 7510, 7120, 607, 12301, 454, 5814, 942, 454, 5228, 1003, 9346, 1104, 795, 527, 692, 287, 329, 527, 3799, 641, 3155, 18989, 994, 3698, 8260, 601, 321, 8527, 18750, 267, 11133, 2005, 2187, 825, 8173, 825, 23893, 607, 538, 8260, 601, 321, 8527, 318, 272, 18258, 454, 825, 8173, 825, 524, 815, 1990, 454, 825, 585, 562, 538, 2039, 16325, 2005, 2187, 1038, 952, 2612, 18750, 264, 3436, 476, 273, 912, 2018, 2132, 562, 454, 1038, 1990, 815, 1990, 1262, 273, 1341, 524, 454, 825, 2132, 1003, 2005, 692, 287, 329, 527, 454, 3698, 1118, 300, 28888, 321, 8527, 13729, 16325, 2005, 28872, 31242, 310, 5954, 267, 18920, 3891, 697, 267, 1535, 14737, 11749, 267, 1535, 16655, 11749, 267, 586, 14737, 11749, 267, 586, 16655, 11749, 2187, 825, 8173, 825, 26157, 2609, 689, 8260, 601, 321, 8527, 318, 272, 543, 8260, 601, 321, 8527, 318, 273, 454, 825, 8173, 825, 1948, 2691, 4758, 519, 8260, 601, 321, 8527, 1599, 513, 1483, 543, 1950, 1297, 267, 649, 723, 547, 5173, 875, 1804, 519, 8884, 1063, 1079, 3097, 825, 1948, 335, 1460, 1564, 1058, 581, 269, 634, 1985, 2185, 3515, 540, 9479, 1281, 713, 269, 825, 454, 825, 1535, 21163, 815, 2612, 3287, 14737, 11749, 14870, 16655, 11749, 8358, 335, 31242, 310, 5954, 3097, 825, 1234, 815, 1535, 14737, 11749, 1948, 763, 1376, 1448, 585, 519, 2473, 17032, 8931, 825, 586, 21163, 815, 2612, 12169, 14737, 11749, 3917, 16655, 11749, 8358, 335, 31242, 3891, 697, 454, 825, 1955, 815, 586, 16655, 11749, 1948, 763, 1376, 1448, 585, 519, 962, 17032, 692, 825, 708, 326, 815, 5286, 25910, 9230, 335, 31242, 3891, 697, 28872, 31242, 310, 5954, 1070, 546, 6943, 25507, 994, 825, 585, 1775, 538, 2039, 263, 271, 28872, 31242, 3891, 697, 2187, 1038, 585, 795, 538, 2039, 263, 271, 28872, 31242, 310, 5954, 2187, 2018, 708, 326, 5157, 25814, 316, 815, 8260, 601, 321, 8527, 263, 1260, 14658, 263, 3725, 267, 3412, 1070, 11133, 2005, 994, 2018, 1234, 6834, 343, 21163, 8931, 1038, 1955, 20699, 344, 21163, 454, 1038, 1234, 815, 1535, 14737, 11749, 454, 825, 2132, 708, 326, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1535, 2381, 815, 910, 273, 454, 825, 1535, 10946, 815, 476, 272, 454, 825, 586, 2381, 815, 910, 272, 269, 276, 454, 825, 586, 10946, 815, 476, 272, 269, 276, 692, 825, 585, 1775, 538, 2039, 263, 276, 2187, 1038, 512, 271, 815, 942, 28333, 4590, 1038, 759, 815, 1118, 300, 28888, 321, 8527, 13729, 263, 1911, 267, 1911, 271, 267, 1911, 271, 21726, 2381, 21726, 10946, 267, 2096, 514, 267, 2096, 1314, 994, 1038, 512, 272, 815, 942, 28333, 4590, 1038, 2698, 815, 512, 272, 2389, 271, 454, 1038, 1820, 6025, 4973, 2020, 825, 12301, 269, 574, 19651, 263, 637, 267, 6708, 17342, 343, 2381, 21726, 10946, 267, 2096, 514, 267, 2096, 1314, 7481, 825, 12301, 20481, 10797, 0, 258, 8196, 9226, 8638, 543, 1118, 606, 1592, 540, 2338, 563, 4289, 815, 1496, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 258, 2237, 513, 1599, 799, 7024, 2040, 540, 519, 1592, 540, 2338, 454, 3698, 2040, 8170, 8266, 292, 6123, 17338, 2187, 567, 2040, 284, 271, 3248, 567, 585, 1775, 538, 2039, 263, 271, 267, 6352, 17338, 15892, 825, 2040, 23785, 4289, 5157, 2639, 567, 2132, 2040, 692, 2745, 4433, 636, 8170, 8266, 292, 6123, 17338, 4297, 3097, 0, 5814, 30220, 454, 5228, 30220, 1104, 31764, 12265, 454, 5814, 942, 692, 560, 815, 30220, 6155, 622, 263, 1708, 271, 267, 476, 274, 267, 476, 272, 994, 258, 560, 815, 1412, 1708, 271, 268, 6734, 268, 4905, 7055, 564, 815, 30220, 6155, 622, 263, 1708, 271, 267, 476, 275, 267, 476, 1428, 994, 1485, 815, 31764, 12265, 5560, 904, 284, 272, 994, 2745, 263, 564, 3613, 994, 1721, 1775, 538, 2039, 9230, 564, 3613, 1040, 17058, 2187, 825, 1820, 263, 560, 1341, 1775, 265, 1485, 994, 825, 1820, 263, 560, 269, 1485, 994, 825, 942, 4732, 2748, 263, 273, 264, 0, 258, 19352, 3724, 540, 5532, 1592, 281, 15932, 1569, 568, 711, 4847, 267, 1284, 723, 547, 1569, 2609, 18615, 569, 4358, 689, 519, 1101, 6843, 269, 3097, 258, 3383, 649, 3112, 798, 519, 9352, 3406, 609, 5532, 1592, 7561, 609, 922, 9949, 791, 12661, 6339, 566, 269, 8528, 258, 15761, 571, 3965, 2230, 585, 513, 24072, 568, 2838, 609, 1142, 3693, 540, 519, 1592, 780, 258, 5071, 707, 6388, 540, 519, 5532, 1592, 269, 1411, 666, 3442, 547, 946, 519, 2206, 569, 5532, 1592, 610, 519, 6065, 569, 5532, 1592, 269, 589, 6843, 538, 513, 2206, 569, 5532, 1592, 1058, 723, 1079, 10305, 281, 1130, 543, 1985, 269, 1130, 568, 519, 1871, 540, 519, 1699, 6843, 267, 543, 1985, 568, 513, 24072, 270, 10915, 2397, 547, 519, 1985, 6843, 269, 1403, 596, 1616, 547, 946, 519, 6065, 569, 5532, 1592, 267, 596, 786, 991, 835, 811, 14487, 7173, 547, 5815, 519, 3105, 6843, 538, 519, 5532, 1592, 269, 27539, 782, 9136, 538, 519, 5532, 1592, 616, 476, 271, 268, 8161, 539, 780, 258, 25956, 891, 3252, 538, 707, 5532, 1592, 1362, 1384, 258, 1205, 263, 8161, 264, 2433, 5192, 519, 1871, 540, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 269, 1403, 519, 4994, 568, 23380, 267, 2132, 910, 272, 563, 258, 1039, 4263, 23175, 263, 1998, 264, 2433, 5410, 513, 6843, 540, 1871, 1130, 1354, 519, 1101, 3693, 540, 519, 5532, 1592, 269, 2991, 519, 24450, 267, 519, 1007, 6843, 786, 581, 519, 1101, 6843, 540, 519, 5532, 1592, 563, 258, 1039, 4263, 307, 841, 263, 1998, 264, 2433, 2561, 754, 513, 6843, 540, 1871, 1130, 547, 519, 2063, 3693, 540, 519, 5532, 1592, 563, 258, 1039, 4263, 19340, 263, 8161, 267, 1130, 264, 2433, 5410, 513, 6843, 540, 1871, 1130, 1354, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 269, 1403, 4994, 11224, 547, 519, 3259, 540, 5532, 1592, 267, 519, 6843, 786, 581, 813, 2105, 547, 519, 1439, 540, 5532, 1592, 269, 1403, 4994, 568, 3152, 982, 519, 3259, 267, 519, 6843, 786, 711, 581, 17332, 563, 258, 18419, 4263, 19340, 263, 8161, 264, 2433, 1546, 8541, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 267, 952, 519, 4994, 568, 4570, 563, 8528, 258, 11966, 2497, 912, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 2187, 1038, 1582, 21606, 815, 1239, 825, 1948, 7407, 547, 4558, 519, 1239, 540, 519, 19219, 454, 1038, 1582, 12785, 815, 7183, 825, 1948, 19702, 762, 547, 1448, 693, 519, 1985, 3693, 538, 519, 21912, 5903, 692, 825, 1948, 1948, 307, 1607, 1599, 547, 4159, 513, 811, 2143, 1239, 2418, 540, 519, 19219, 454, 825, 1948, 1219, 6449, 516, 1440, 9191, 1345, 2187, 825, 1948, 672, 2132, 1582, 21606, 692, 5035, 3733, 299, 22075, 8266, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 19461, 1944, 519, 2212, 6843, 912, 1038, 8173, 1038, 1582, 23584, 815, 7183, 454, 825, 1948, 1948, 1729, 4159, 519, 3693, 811, 3927, 454, 825, 1948, 1219, 6449, 516, 1440, 9191, 1345, 2187, 825, 1948, 672, 6843, 815, 1582, 23584, 454, 825, 1948, 672, 1592, 8170, 301, 3941, 815, 11713, 825, 1948, 672, 1948, 10177, 2091, 998, 519, 5532, 1592, 543, 1820, 3693, 856, 952, 621, 568, 711, 9039, 454, 825, 1948, 672, 1247, 6843, 568, 711, 7183, 912, 825, 1948, 1363, 1592, 8170, 301, 3941, 6910, 27316, 21606, 994, 825, 1948, 1363, 6843, 815, 6843, 12785, 692, 825, 1948, 672, 1592, 8170, 301, 3941, 6910, 2891, 14085, 5602, 1038, 454, 825, 1948, 672, 2132, 834, 9847, 834, 269, 21860, 17338, 8170, 301, 3941, 994, 8931, 825, 1219, 1205, 4311, 267, 4994, 281, 703, 264, 9847, 703, 912, 1038, 8173, 1038, 5192, 519, 1871, 540, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 269, 1403, 519, 4994, 568, 23380, 267, 2132, 910, 272, 563, 1038, 8173, 1038, 1293, 815, 476, 271, 1948, 22056, 513, 1293, 4756, 547, 1293, 519, 4994, 1369, 519, 1592, 269, 3097, 1038, 1427, 11749, 815, 476, 271, 454, 1038, 1699, 815, 1582, 23584, 1948, 1492, 1699, 3693, 786, 1376, 693, 519, 2212, 540, 519, 5532, 1592, 454, 1038, 1948, 31467, 998, 519, 5532, 1592, 689, 2212, 547, 2766, 454, 1038, 1247, 1699, 568, 711, 7183, 912, 2018, 952, 1293, 2652, 4994, 281, 11434, 454, 3546, 1427, 11749, 815, 1699, 21606, 454, 2018, 1293, 6834, 476, 272, 454, 2018, 1699, 815, 1699, 12785, 692, 1038, 2132, 1427, 11749, 7531, 825, 1219, 1039, 4263, 23175, 4311, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 5410, 513, 6843, 540, 1871, 1130, 1354, 519, 1101, 3693, 540, 519, 5532, 1592, 269, 2991, 519, 24450, 267, 519, 1007, 6843, 786, 581, 519, 1101, 6843, 540, 519, 5532, 1592, 563, 1038, 8173, 1038, 1948, 1711, 513, 10151, 19219, 609, 519, 1239, 1871, 547, 581, 3773, 883, 519, 1592, 454, 1038, 10917, 17045, 815, 19219, 263, 1998, 994, 1038, 1948, 12133, 532, 3693, 883, 519, 2212, 6843, 28329, 1038, 10917, 17045, 12785, 815, 1582, 23584, 454, 1038, 1582, 23584, 815, 10917, 17045, 692, 825, 1219, 1039, 4263, 307, 841, 4311, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 2561, 754, 513, 6843, 540, 1871, 1130, 547, 519, 2063, 3693, 540, 519, 5532, 1592, 563, 1038, 8173, 1038, 1948, 22056, 513, 1007, 6843, 602, 786, 3180, 519, 1871, 2877, 547, 1780, 538, 454, 1038, 1007, 11966, 815, 19219, 263, 1998, 994, 1038, 1948, 952, 519, 1592, 568, 8900, 267, 1287, 649, 786, 1175, 1039, 519, 3693, 538, 607, 513, 2212, 6843, 454, 1038, 952, 630, 1345, 23584, 2652, 7183, 2187, 2018, 1582, 23584, 815, 1007, 11966, 454, 2018, 2132, 454, 1038, 1948, 31467, 998, 519, 5532, 1592, 689, 2212, 543, 547, 922, 2766, 543, 1039, 3693, 547, 519, 5532, 1592, 693, 519, 1439, 454, 1038, 1699, 815, 1582, 23584, 454, 1038, 1247, 1699, 12785, 568, 711, 7183, 912, 2018, 1699, 815, 1699, 12785, 454, 1038, 1699, 12785, 815, 1007, 11966, 7531, 825, 1219, 1039, 4263, 19340, 4311, 267, 4994, 281, 703, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 5410, 513, 6843, 540, 1871, 1130, 1354, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 269, 1403, 4994, 11224, 547, 519, 3259, 540, 5532, 1592, 267, 519, 6843, 786, 581, 813, 2105, 547, 519, 1439, 540, 5532, 1592, 269, 1403, 4994, 568, 3152, 982, 519, 3259, 267, 519, 6843, 786, 711, 581, 17332, 563, 1038, 8173, 1038, 1948, 8620, 513, 6843, 1785, 4902, 540, 519, 1007, 3693, 547, 581, 3773, 883, 519, 5532, 1592, 454, 1038, 1007, 17045, 815, 19219, 263, 1998, 994, 1038, 1293, 815, 476, 271, 1948, 22056, 513, 1293, 4756, 547, 1293, 519, 4994, 1369, 519, 1592, 269, 3097, 1038, 1699, 815, 1582, 23584, 1948, 1492, 1699, 3693, 786, 1376, 693, 519, 2212, 540, 519, 5532, 1592, 454, 1038, 1948, 31467, 998, 519, 5532, 1592, 689, 2212, 547, 2766, 454, 1038, 1247, 1699, 568, 711, 7183, 912, 2018, 952, 1293, 2652, 4994, 910, 272, 2433, 825, 454, 3546, 1699, 12785, 815, 1007, 17045, 825, 1948, 1492, 24072, 540, 519, 25216, 1239, 786, 849, 1448, 547, 519, 6843, 1310, 707, 7525, 6843, 538, 519, 5532, 1592, 563, 3546, 1007, 17045, 12785, 815, 1699, 12785, 12785, 454, 2018, 1293, 6834, 476, 272, 454, 2018, 1699, 815, 1699, 12785, 692, 1363, 692, 825, 1219, 18419, 4263, 19340, 4311, 267, 4994, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 1546, 8541, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 267, 952, 519, 4994, 568, 4570, 563, 1038, 8173, 1038, 1293, 815, 476, 271, 1948, 22056, 513, 1293, 4756, 547, 1293, 519, 4994, 1369, 519, 1592, 269, 3097, 1038, 1699, 815, 1582, 23584, 1948, 1492, 1699, 3693, 786, 1376, 693, 519, 2212, 540, 519, 5532, 1592, 454, 1038, 1948, 31467, 998, 519, 5532, 1592, 689, 2212, 547, 2766, 454, 1038, 1247, 1699, 568, 711, 7183, 912 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2704, 2006, 659, 910, 13638, 476, 1556, 270, 1626, 270, 1708, 272, 454, 9213, 568, 13638, 267, 519, 476, 1626, 628, 540, 5437, 267, 476, 1708, 272, 454, 21776, 476, 1626, 568, 519, 476, 17168, 628, 1554, 540, 519, 1032, 454, 3393, 2395, 2611, 2394, 519, 1439, 540, 519, 1032, 563, 3374, 2395, 2394, 5162, 5956, 454, 763, 3141, 14380, 693, 476, 277, 281, 7906, 281, 5379, 993, 454, 663, 23863, 786, 581, 693, 476, 275, 281, 6872, 281, 4905, 10681, 563, 2171, 786, 723, 476, 1015, 3108, 543, 476, 276, 3764, 540, 21765, 2221, 563, 763, 3859, 18302, 786, 581, 693, 476, 1556, 281, 7918, 281, 2537, 993, 563, 763, 1101, 1970, 20352, 786, 581, 693, 476, 273, 281, 1321, 993, 693, 476, 272, 269, 4391, 3952, 454, 763, 1101, 1164, 20352, 786, 581, 693, 476, 279, 281, 4097, 993, 693, 476, 277, 269, 6860, 3952, 454, 763, 1985, 1970, 20352, 693, 476, 274, 281, 1724, 10681, 693, 476, 271, 269, 3607, 3952, 454, 663, 519, 3803, 1164, 20352, 693, 7909, 16047, 9522, 697, 786, 581, 693, 476, 280, 281, 3066, 10681, 693, 476, 275, 269, 7761, 3952, 454, 763, 9855, 568, 4867, 476, 10844, 269, 279, 260, 7298, 454, 2171, 3580, 723, 519, 9509, 9855, 538, 476, 274, 2395, 593, 11016, 476, 866, 628, 540, 5437, 540, 476, 1708, 272, 693, 476, 1321, 281, 6812, 993, 454, 763, 5437, 9855, 568, 1572, 519, 9509, 2142, 11232, 9855, 454, 1607, 729, 519, 942, 950, 581, 28316, 8737, 21339, 585, 5162, 543, 1427, 8972, 883, 741, 25778, 2471, 454, 2005, 779, 849, 1572, 519, 7498, 5719, 518, 31089, 1154, 9855, 6226, 3101, 270, 9928, 337, 10248, 9855, 5131, 4506, 9855, 29778, 9855, 6519, 8127, 9855, 454, 2467, 786, 849, 581, 513, 3487, 658, 30803, 661, 743, 15199, 609, 519, 9509, 9855, 593, 11016, 454, 5970, 513, 9549, 2060, 2659, 19594, 4303, 454, 17220, 4303, 585, 570, 16260, 454, 13233, 29502, 4303, 454, 13233, 6744, 2659, 654, 760, 619, 4303, 454, 13233, 29661, 262, 4303, 454, 13233, 16258, 5253, 4303, 454, 9213, 568, 849, 7498, 21196, 540, 16672, 540, 590, 30371, 14879, 538, 6480, 8205, 454, 309, 13083, 14259, 340, 1068, 698, 538, 5125, 454, 296, 576, 1633, 545, 5678, 4303, 610, 667, 698, 584, 3331, 511, 16435, 839, 330, 32057, 512, 2426, 340, 538, 19360, 454, 21809, 807, 4303, 538, 590, 842, 661, 755, 520, 3780, 538, 5449, 13814, 10125, 540, 519, 12144, 454, 4002, 713, 1554, 538, 1686, 7498, 7277, 280, 1107, 589, 6739, 5480, 5220, 5856, 674, 344, 31121, 667, 739, 1195, 5271, 20391, 547, 2669, 585, 4550, 3766, 17922, 2238, 5532, 547, 513, 9097, 7214, 1895, 282, 1010, 4845, 568, 2663, 862, 3176, 547, 2182, 4074, 563, 6977, 276, 1107, 6424, 12389, 7723, 3587, 519, 1101, 3864, 547, 1294, 519, 15117, 22484, 538, 1018, 568, 1631, 2098, 25995, 19053, 23000, 563, 6942, 272, 1107, 634, 2817, 681, 604, 548, 5948, 11392, 922, 22497, 689, 1715, 3840, 3557, 563, 5002, 275, 1107, 2296, 11653, 3627, 19264, 13427, 18307, 2719, 11392, 513, 14664, 585, 519, 5687, 31020, 11896, 630, 341, 659, 10840, 8546, 1916, 4489, 275, 1107, 634, 8549, 15944, 7813, 540, 519, 2136, 2276, 13166, 10741, 563, 4572, 271, 1107, 1627, 656, 553, 267, 5245, 781, 3084, 29617, 267, 568, 8547, 607, 24368, 543, 8832, 24540, 17224, 658, 7896, 17290, 563, 4350, 274, 1107, 634, 2136, 2276, 543, 519, 8168, 5742, 3715, 6101, 20320, 1894, 563, 4350, 279, 1107, 700, 16256, 568, 1101, 24704, 676, 15751, 670, 1993, 10458, 689, 23908, 582, 8533, 693, 519, 9995, 9926, 8534, 14898, 538, 30239, 563, 3707, 276, 1107, 20648, 568, 8547, 563, 3192, 274, 1107, 4787, 2643, 629, 1982, 281, 8331, 31782, 4787, 2643, 629, 476, 275, 609, 513, 12284, 540, 1614, 20691, 689, 15729, 2052, 11232, 531, 267, 8419, 585, 606, 476, 10019, 6377, 5692, 563, 3192, 274, 1107, 772, 2529, 269, 5518, 9400, 29337, 4191, 519, 3690, 25575, 10939, 26932, 5202, 8191, 1436, 2920, 883, 1876, 267, 2278, 1944, 519, 4070, 540, 519, 14522, 26932, 5202, 563, 3192, 275, 1107, 634, 3657, 322, 756, 334, 5048, 568, 13739, 689, 17896, 22656, 563, 2735, 279, 1107, 769, 519, 1101, 1930, 9550, 538, 811, 982, 513, 8717, 267, 17037, 538, 9031, 1528, 17069, 626, 11134, 5484, 1794, 597, 13225, 583, 1729, 547, 581, 11788, 10579, 540, 9031, 563, 1960, 271, 1107, 7377, 1895, 7085, 328, 11709, 650, 328, 616, 4174, 5529, 540, 741, 12896, 3240, 13815, 1317, 519, 5918, 334, 1705, 711, 2206, 693, 782, 593, 519, 21756, 1411, 5700, 898, 781, 6936, 17581, 269, 29140, 12372, 1185, 3177, 782, 519, 4938, 1023, 563, 2507, 663, 952, 2221, 568, 707, 14512, 267, 8414, 17510, 1485, 1677, 1411, 256, 1411, 2671, 713, 2027, 1554, 609, 7498, 6942, 274, 1107, 654, 269, 595, 269, 7435, 344, 267, 1977, 25041, 564, 6345, 543, 21917, 630, 323, 269, 476, 4198, 279, 994, 6245, 276, 1107, 6754, 13130, 655, 603, 267, 4436, 3423, 21442, 267, 21917, 267, 543, 18364, 630, 323, 269, 476, 3422, 274, 994, 5002, 278, 1107, 26990, 612, 631, 1229, 603, 267, 1977, 17076, 267, 22256, 267, 8689, 267, 16073, 267, 543, 5496, 23116, 630, 323, 269, 476, 1960, 278, 994, 4489, 277, 1107, 667, 9155, 30215, 267, 1977, 5639, 17076, 543, 22256, 630, 323, 269, 476, 2735, 279, 994, 4572, 273, 1107, 21280, 2946, 7203, 600, 6210, 267, 14082, 29787, 630, 323, 269, 476, 1001, 271, 994, 4350, 271, 1107, 25590, 7699, 3600, 515, 2041, 267, 30645, 29787, 267, 10564, 267, 543, 10404, 630, 323, 269, 476, 1001, 274, 994, 4198, 274, 1107, 26186, 10910, 903, 13643, 267, 21730, 635, 539, 1014, 267, 17076, 267, 543, 2278, 454, 3422, 275, 1107, 667, 10005, 918, 337, 718, 267, 8225, 22256, 1606, 784, 23116, 543, 32058, 626, 454, 3422, 278, 1107, 23436, 12844, 564, 267, 1977, 957, 816, 543, 8689, 454, 3192, 278, 1107, 744, 802, 3570, 645, 2967, 592, 267, 21977, 12677, 4137, 1236, 831, 454, 3192, 278, 1107, 7395, 27932, 21859, 961, 523, 3873, 531, 267, 1977, 957, 816, 543, 22256, 0, 19054, 3345, 9315, 1400, 853, 563, 291, 528, 17998, 4741, 267, 10790, 476, 28512, 2190, 454, 290, 5670, 1054, 2096, 545, 4524, 543, 645, 13633, 4524, 616, 1360, 2147, 538, 1896, 2081, 563, 4913, 267, 513, 1592, 540, 4162, 16174, 873, 689, 1142, 824, 912, 763, 1004, 7092, 689, 7814, 1054, 2096, 807, 723, 5712, 540, 4965, 267, 3834, 2674, 807, 610, 812, 807, 602, 2063, 689, 476, 272, 268, 274, 3275, 563, 5445, 849, 723, 5712, 538, 799, 519, 2589, 616, 711, 1459, 269, 898, 1281, 711, 723, 519, 2834, 3270, 540, 519, 7099, 2242, 602, 17299, 4524, 814, 563, 5445, 723, 2834, 3270, 540, 7099, 2242, 269, 1358, 723, 3476, 8653, 540, 2589, 563, 763, 7099, 2242, 2356, 2063, 585, 811, 982, 1079, 4374, 269, 1452, 7099, 23638, 616, 849, 711, 3908, 547, 4965, 610, 812, 807, 269, 769, 1063, 891, 7099, 23638, 267, 789, 666, 849, 2611, 7123, 563, 2690, 606, 4977, 5868, 267, 596, 1590, 5077, 513, 31897, 945, 666, 2995, 519, 3017, 1063, 519, 1079, 4713, 563, 2467, 568, 711, 1454, 540, 513, 3017, 538, 519, 2126, 540, 519, 1079, 4713, 563, 290, 5670, 1054, 2096, 545, 13081, 630, 290, 5670, 1054, 2096, 807, 264, 568, 1362, 1227, 6353, 607, 2789, 5712, 540, 3834, 2674, 807, 630, 11499, 1164, 264, 543, 4965, 9434, 476, 273, 1296, 610, 811, 563, 4322, 5712, 540, 4965, 543, 3834, 2674, 807, 949, 581, 954, 4944, 619, 539, 609, 5266, 10835, 1863, 5712, 267, 855, 519, 2949, 1576, 568, 835, 538, 799, 31916, 2395, 856, 15893, 10835, 1863, 2395, 282, 8754, 267, 519, 2165, 7814, 1054, 2096, 545, 563, 2005, 568, 1455, 585, 1004, 609, 20676, 1054, 2096, 545, 13081, 547, 1582, 2173, 539, 6510, 609, 4568, 610, 6219, 6057, 282, 2705, 267, 972, 568, 1100, 2963, 602, 6219, 6057, 3123, 20676, 1054, 2096, 545, 13081, 538, 713, 2551, 269, 0, 20332, 1436, 568, 519, 1184, 540, 4742, 513, 12504, 540, 519, 2136, 2276, 267, 519, 1482, 607, 596, 1131, 581, 952, 519, 772, 2529, 269, 729, 707, 1747, 540, 4332, 269, 7849, 1436, 3340, 7029, 543, 568, 711, 513, 3375, 596, 1058, 1118, 21066, 563, 2691, 596, 1831, 513, 2067, 1242, 12504, 267, 596, 723, 519, 1482, 2924, 602, 782, 4961, 2972, 267, 2436, 2067, 1242, 610, 4535, 593, 772, 2529, 269, 3037, 269, 1717, 267, 15114, 849, 11438, 609, 621, 930, 1271, 9021, 563, 25215, 976, 4850, 540, 772, 2529, 269, 22893, 1222, 454, 6524, 596, 666, 1831, 2067, 1242, 267, 596, 723, 547, 1451, 782, 827, 18523, 2229, 543, 875, 621, 3252, 269, 634, 2136, 2276, 568, 513, 9111, 267, 2495, 602, 519, 20772, 568, 602, 782, 4961, 786, 1491, 593, 3742, 18523, 11645, 563, 6097, 547, 772, 2529, 269, 22893, 1222, 543, 26790, 7896, 267, 707, 9021, 607, 513, 12504, 1331, 1073, 324, 3539, 782, 4031, 267, 9878, 707, 4747, 9204, 547, 519, 3617, 2229, 8116, 543, 10283, 538, 519, 11180, 1184, 676, 13359, 269, 1924, 602, 596, 666, 1118, 1434, 3664, 267, 596, 723, 513, 5539, 547, 3251, 5483, 593, 2152, 602, 1860, 707, 2146, 269, 1411, 849, 723, 519, 5539, 547, 2463, 519, 2924, 540, 1866, 563, 305, 2074, 540, 772, 2529, 269, 22893, 454, 763, 16672, 540, 14412, 267, 519, 3561, 602, 3964, 519, 2136, 2276, 607, 922, 1378, 2197, 267, 2829, 602, 782, 1004, 267, 1519, 772, 2529, 269, 4961, 267, 723, 519, 1318, 547, 1272, 267, 15698, 543, 519, 13287, 540, 8788, 269, 1548, 1281, 713, 1611, 538, 4052, 2474, 286, 4270, 267, 607, 513, 1906, 1806, 267, 607, 513, 12504, 540, 519, 772, 2529, 1421, 596, 723, 519, 1318, 547, 10847, 607, 596, 6999, 543, 547, 2769, 3054, 1510, 13779, 689, 519, 2229, 269, 9701, 596, 1265, 3054, 896, 10654, 267, 596, 723, 519, 1318, 547, 513, 4693, 676, 513, 21139, 540, 707, 9905, 538, 513, 12905, 6073, 563, 308, 2529, 269, 15114, 849, 3947, 596, 519, 1318, 547, 11654, 4876, 3681, 602, 1131, 711, 581, 2139, 547, 596, 6382, 269, 1280, 1383, 267, 596, 666, 4019, 585, 6009, 538, 519, 5313, 2229, 602, 2154, 15114, 269, 1411, 666, 849, 2196, 585, 1022, 11221, 5604, 4849, 5518, 540, 519, 2136, 2276, 267, 7247, 519, 9139, 3081, 814, 547, 581, 513, 2067, 23899, 12504, 269, 0, 4415, 19343, 779, 570, 4459, 268, 7775, 6874, 805, 4947, 909, 538, 1175, 513, 1906, 2395, 267, 621, 568, 1271, 547, 1832, 1072, 543, 3106, 538, 2247, 269, 634, 4741, 585, 8376, 6513, 15565, 1896, 2081, 547, 1832, 596, 543, 707, 1453, 6126, 543, 2635, 1282, 971, 513, 1187, 543, 30018, 9702, 256, 10287, 891, 15324, 4388, 585, 513, 2922, 19343, 281, 3040, 2252, 596, 610, 707, 1126, 779, 28076, 3340, 1118, 5346, 267, 1449, 519, 1587, 4433, 264, 593, 513, 1507, 851, 540, 519, 1688, 547, 2057, 513, 1761, 13027, 5114, 610, 2960, 16698, 1107, 1732, 2922, 982, 20994, 256, 3040, 11900, 1051, 17711, 1354, 18656, 3101, 1107, 1118, 2386, 4773, 616, 20177, 547, 2327, 789, 723, 711, 1044, 512, 2086, 1229, 609, 269, 3040, 22879, 19471, 13000, 689, 21046, 269, 3040, 2252, 513, 28076, 568, 4158, 267, 8936, 14436, 4773, 610, 8279, 547, 2061, 1373, 31305, 676, 10256, 269, 3040, 22142, 8945, 11399, 2389, 805, 4805, 543, 3802, 267, 1810, 1406, 2196, 256, 3040, 310, 792, 18723, 15033, 24853, 269, 3040, 13014, 2386, 24853, 3514, 7157, 547, 2057, 15143, 543, 8813, 256, 1411, 666, 849, 1780, 856, 2635, 8925, 547, 17711, 267, 971, 607, 16152, 609, 1970, 8477, 610, 1447, 4006, 267, 1507, 9162, 267, 610, 29654, 282, 2057, 11093, 13544, 27984, 2000, 534, 3179, 610, 1022, 23732, 609, 606, 1930, 18723, 2673, 547, 513, 3802, 3118, 282, 543, 1818, 2386, 3802, 1811, 616, 1396, 14013, 585, 782, 14538, 4947, 547, 543, 689, 707, 1753, 563, 30475, 554, 9994, 8696, 267, 8945, 11399, 2389, 805, 0, 6343, 568, 14408, 9692, 4425, 8814, 570, 25683, 888, 763, 14408, 9692, 15245, 8546, 568, 513, 3044, 20487, 540, 15774, 4411, 6537, 1570, 269, 30680, 589, 9692, 31793, 532, 568, 2966, 609, 513, 3114, 5888, 540, 3327, 267, 22670, 267, 8485, 5387, 267, 543, 16247, 269, 901, 8685, 532, 1568, 1134, 538, 2362, 2604, 543, 2837, 2175, 269, 634, 30680, 589, 9692, 570, 4209, 666, 6023, 19979, 2923, 1510, 14124, 519, 4540, 2497, 269, 1452, 12992, 616, 2139, 538, 13080, 1063, 476, 4968, 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 ]

[ 7340, 707, 1747, 2418, 32656, 1411, 1522, 711, 3494, 803, 2943, 267, 855, 594, 6557, 2469, 547, 6961, 547, 596, 602, 891, 1079, 17447, 616, 3160, 267, 610, 6697, 780, 1012, 1879, 3657, 5565, 31353, 4982, 20884, 2496, 2791, 666, 1491, 1022, 8918, 543, 1711, 6697, 3029, 676, 3274, 4946, 21325, 547, 519, 1318, 540, 621, 269, 898, 779, 602, 2241, 2439, 1012, 1215, 1082, 20453, 3160, 835, 13362, 2496, 11039, 267, 2724, 568, 513, 1259, 585, 721, 547, 14650, 875, 6697, 17447, 960, 269, 2913, 779, 1413, 693, 513, 13362, 269, 1548, 616, 782, 540, 519, 2081, 602, 649, 666, 1118, 513, 13362, 281, 2185, 20453, 267, 476, 1015, 546, 1307, 267, 476, 736, 12183, 1564, 267, 476, 1911, 30779, 625, 269, 3962, 540, 891, 5666, 11224, 835, 13362, 1256, 1498, 789, 616, 1500, 540, 1114, 3029, 540, 2724, 780, 1012, 6496, 621, 2339, 875, 1082, 21325, 596, 1039, 547, 519, 1318, 540, 519, 1297, 2496, 2005, 3085, 1406, 2339, 875, 1082, 21325, 596, 1039, 547, 519, 1318, 540, 519, 1297, 267, 621, 786, 2141, 581, 606, 6697, 1106, 2439, 1012, 1684, 6697, 17447, 723, 519, 1482, 1871, 2496, 13420, 20884, 17447, 960, 519, 3169, 1482, 1259, 256, 1358, 3160, 519, 1482, 1871, 1256, 1498, 789, 1413, 1114, 269, 7689, 12834, 269, 769, 713, 3992, 649, 4121, 602, 6697, 17447, 616, 1175, 17447, 602, 1413, 1114, 855, 723, 519, 1482, 1871, 780, 1012, 2913, 779, 1451, 2439, 1103, 7223, 267, 6697, 17447, 616, 1079, 8918, 2338, 602, 616, 6697, 267, 602, 568, 267, 789, 2099, 519, 1482, 1871, 610, 2179, 780, 1012, 2913, 779, 798, 621, 2439, 21156, 540, 3450, 6697, 17447, 543, 1287, 1688, 532, 856, 2259, 3211, 547, 707, 1453, 267, 2307, 873, 547, 1265, 519, 6697, 17447, 540, 519, 2338, 596, 2161, 610, 6460, 519, 8454, 596, 2161, 883, 6697, 17447, 780, 1012, 1548, 568, 6697, 8918, 2496, 13420, 20884, 17447, 616, 1022, 8918, 2338, 602, 616, 3160, 269, 27252, 3631, 1397, 875, 6697, 17447, 6445, 909, 519, 1482, 2179, 540, 519, 2898, 269, 7102, 1297, 540, 21325, 630, 271, 264, 547, 519, 1318, 540, 519, 2063, 7857, 824, 982, 4642, 630, 272, 268, 280, 264, 568, 606, 6697, 8918, 547, 519, 1482, 8918, 1297, 1510, 519, 21325, 269, 1280, 1383, 281, 476, 271, 269, 273, 815, 476, 271, 269, 736, 815, 476, 271, 269, 1220, 815, 476, 271, 269, 1220, 271, 780, 1012, 1548, 568, 519, 6697, 540, 513, 8918, 1297, 1510, 519, 21325, 2496, 12179, 8918, 1297, 609, 3606, 21325, 547, 519, 1318, 540, 2063, 7857, 824, 982, 4642, 630, 272, 268, 280, 264, 568, 6697, 547, 519, 8918, 1297, 1510, 519, 21325, 780, 1012, 1548, 568, 519, 2063, 7857, 540, 513, 1297, 602, 568, 711, 513, 4642, 2496, 16100, 693, 519, 2063, 7857, 547, 519, 1318, 602, 568, 711, 513, 4642, 630, 1415, 7857, 476, 272, 268, 280, 1040, 2334, 568, 519, 7857, 476, 272, 780, 1012, 1215, 1082, 4627, 2195, 3160, 476, 271, 269, 272, 2496, 4517, 952, 649, 2736, 519, 4627, 2195, 883, 4557, 3160, 2694, 267, 1287, 649, 786, 723, 476, 271, 269, 1911, 630, 821, 4627, 8536, 2195, 1070, 799, 849, 11224, 476, 271, 269, 272, 780, 1012, 1772, 513, 1297, 540, 21325, 513, 8918, 2496, 1103, 1249, 267, 1022, 1297, 540, 21325, 630, 271, 264, 547, 519, 1318, 540, 519, 2063, 7857, 824, 982, 4642, 630, 272, 268, 280, 264, 568, 606, 6697, 8918, 547, 519, 1482, 8918, 1297, 1510, 519, 21325, 269, 0, 11795, 22187, 5426, 14168, 454, 14607, 3596, 916, 8193, 19877, 5967, 2181, 335, 2274, 564, 24927, 2274, 564, 24927, 22069, 1903, 4569, 21642, 21366, 476, 19054, 692, 1012, 9046, 15048, 692, 11693, 1079, 9352, 12673, 513, 543, 536, 267, 649, 723, 547, 1039, 891, 1079, 12673, 543, 1287, 2132, 519, 1267, 607, 513, 9352, 5569, 269, 23030, 5569, 616, 519, 12673, 602, 3568, 1152, 476, 271, 338, 543, 476, 272, 338, 780, 2162, 7151, 692, 319, 320, 815, 834, 1556, 2580, 536, 815, 834, 272, 257, 319, 454, 319, 257, 1911, 257, 319, 454, 319, 320, 1109, 284, 1109, 257, 6200, 271, 2580, 1109, 321, 1109, 284, 1109, 257, 6200, 272, 257, 319, 454, 319, 257, 6200, 4905, 257, 26384, 1012, 13979, 692, 2690, 4946, 1079, 9352, 12673, 649, 723, 547, 1685, 1840, 3787, 676, 3787, 269, 1306, 649, 917, 1840, 568, 5340, 689, 1318, 1439, 3001, 2509, 2451, 11353, 269, 4475, 649, 723, 547, 9258, 519, 2016, 12673, 1101, 543, 1287, 649, 666, 1685, 1840, 540, 922, 11353, 4358, 689, 4994, 476, 271, 563, 2690, 13936, 3787, 1840, 5311, 649, 666, 1711, 513, 5569, 4756, 759, 543, 16289, 519, 2040, 540, 1079, 11353, 543, 4163, 693, 1439, 540, 519, 759, 5569, 585, 1142, 3787, 2990, 269, 7053, 649, 786, 2132, 519, 759, 5569, 585, 3977, 780, 2971, 23990, 692, 1892, 681, 27654, 519, 2016, 12673, 563, 1892, 8073, 606, 8900, 5569, 543, 513, 4163, 4756, 269, 19461, 1047, 4163, 609, 476, 271, 563, 1892, 3767, 621, 4733, 936, 519, 2016, 5569, 538, 513, 1247, 8520, 543, 1039, 3787, 540, 1101, 543, 2034, 5569, 2059, 609, 4163, 269, 3767, 2687, 547, 1871, 540, 1840, 16289, 519, 25739, 3787, 547, 759, 5569, 543, 849, 9337, 519, 4163, 585, 1985, 3787, 4586, 1892, 2311, 2063, 649, 723, 3977, 5569, 855, 621, 568, 538, 9258, 1931, 1317, 649, 723, 5340, 1840, 593, 20328, 3403, 5569, 585, 938, 13418, 269, 4475, 9258, 519, 3977, 5569, 543, 6368, 2132, 621, 780, 1012, 23840, 692, 2162, 595, 10030, 5358, 585, 5410, 23030, 2274, 564, 13892, 8827, 692, 3499, 258, 514, 2850, 2999, 23605, 23995, 26501, 10030, 269, 327, 11417, 6748, 4408, 10628, 31901, 16963, 19127, 842, 4163, 284, 271, 3248, 11415, 759, 284, 3269, 16963, 516, 2091, 5416, 269, 8218, 19572, 320, 269, 754, 3890, 11850, 516, 2091, 6357, 269, 8218, 19572, 321, 269, 754, 3890, 32007, 842, 1775, 284, 271, 267, 8999, 3248, 6112, 9217, 283, 320, 25915, 3890, 13466, 1775, 283, 321, 25915, 15405, 19127, 8999, 284, 4163, 16963, 604, 9217, 283, 320, 25915, 28829, 2040, 23785, 513, 5157, 316, 268, 262, 271, 262, 3248, 604, 9217, 283, 321, 25915, 28829, 2040, 23785, 536, 5157, 316, 268, 262, 271, 262, 16963, 604, 4433, 636, 2525, 271, 264, 4163, 284, 271, 267, 759, 266, 8782, 271, 262, 3248, 12828, 952, 4433, 636, 2525, 272, 264, 476, 4163, 284, 271, 267, 759, 266, 8782, 272, 262, 3248, 12828, 952, 4433, 636, 2525, 273, 264, 8364, 787, 284, 272, 267, 759, 266, 8782, 271, 262, 3248, 12828, 4163, 284, 272, 267, 759, 266, 8782, 272, 262, 16963, 328, 10030, 3248, 10926, 604, 6262, 14019, 2525, 272, 264, 476, 759, 266, 8782, 272, 262, 16963, 516, 2091, 263, 637, 269, 8218, 19572, 637, 269, 754, 3890, 11850, 8873, 759, 16963, 8679, 842, 1292, 4590, 19127, 11415, 513, 815, 834, 6200, 271, 257, 3248, 11415, 536, 815, 834, 6200, 272, 257, 3248, 348, 8199, 319, 6200, 4905, 26384, 2162, 10084, 5358, 585, 5410, 23030, 2274, 564, 13892, 8827, 692, 3499, 5814, 28162, 269, 583, 559, 30818, 16963, 5035, 1234, 868, 6856, 346, 692, 21504, 11979, 21642, 1039, 289, 2435, 263, 21803, 513, 267, 21642, 536, 994, 19127, 842, 4163, 284, 271, 16963, 21803, 30395, 518, 521, 272, 284, 2908, 21642, 30395, 518, 5416, 11850, 21803, 30395, 518, 521, 273, 284, 2908, 21642, 30395, 518, 6357, 11850, 21803, 30395, 518, 759, 284, 2908, 21642, 30395, 518, 3890, 16963, 338, 272, 18622, 2091, 3890, 3248, 338, 273, 18622, 2091, 3890, 16963, 842, 1775, 284, 271, 267, 8999, 3248, 6112, 9217, 283, 320, 32324, 3890, 13466, 1775, 283, 321, 32324, 15405, 19127, 8999, 284, 4163, 16963, 604, 9217, 283, 320, 32324, 28829, 2040, 23785, 521, 272, 269, 10420, 4263, 9217, 9984, 262, 271, 262, 3248, 604, 9217, 283, 321, 32324, 28829, 2040, 23785, 521, 273, 269, 10420, 4263, 9217, 9984, 262, 271, 262, 16963, 604, 4433, 636, 2525, 271, 994, 19127, 8364, 787, 284, 271, 3248, 637, 6910, 3488, 271, 10807, 3248, 8679, 604, 4433, 636, 2525, 272, 994, 19127, 8364, 787, 284, 271, 3248, 637, 6910, 3488, 272, 10807, 3248, 8679, 604, 4433, 636, 2525, 273, 994, 19127, 8364, 787, 284, 272, 3248, 637, 6910, 3488, 271, 10807, 3248, 8679, 604, 4433, 636, 2525, 274, 994, 19127, 8364, 787, 284, 272, 3248, 637, 6910, 3488, 272, 10807, 3248, 10926, 328, 10030, 3248, 10926, 604, 6262, 14019, 2525, 272, 264, 567, 759, 6910, 3488, 272, 262, 32007, 637, 18622, 2091, 3890, 3248, 8873, 759, 30419, 21803, 3890, 16963, 10926, 21504, 11979, 20704, 1292, 263, 21803, 26571, 314, 7481, 19127, 21803, 513, 815, 834, 6200, 271, 257, 3248, 21803, 536, 815, 834, 6200, 272, 257, 3248, 8679, 348, 8199, 319, 6200, 4905, 26384, 1012, 29203, 5811, 585, 5410, 23030, 2274, 564, 13892, 8827, 692, 2971, 5384, 29203, 692, 302, 32384, 18217, 267, 300, 4297, 2433, 7316, 715, 543, 631, 616, 13080, 540, 3403, 5569, 269, 1306, 649, 616, 21986, 532, 1312, 519, 5569, 31085, 538, 513, 2582, 8520, 267, 942, 6988, 786, 581, 3160, 547, 5021, 3259, 856, 540, 519, 1079, 3403, 12673, 16317, 2971, 6611, 29203, 692, 302, 32384, 18217, 267, 300, 4297, 2433, 1280, 13936, 519, 1267, 538, 513, 5569, 1310, 1840, 649, 991, 5569, 4171, 2450, 568, 3160, 547, 3193, 540, 3259, 540, 519, 3403, 12673, 16317, 9558, 17218, 9732, 0, 13043, 543, 25226, 454, 10481, 5852, 692, 4692, 930, 25965, 581, 513, 4009, 2496, 280, 1015, 1556, 692, 1001, 271, 268, 1556, 268, 6734, 476, 2537, 281, 2918, 281, 4366, 692, 6546, 5673, 593, 952, 519, 25965, 616, 15700, 610, 952, 596, 616, 6998, 952, 1114, 5686, 540, 25965, 616, 10945, 269, 1809, 267, 2901, 1259, 267, 782, 25965, 616, 10945, 267, 855, 711, 782, 10945, 616, 25965, 780, 16055, 494, 382, 509, 382, 492, 382, 481, 454, 271, 454, 16055, 494, 382, 509, 6893, 482, 6893, 486, 454, 271, 454, 16055, 494, 382, 509, 382, 502, 6893, 492, 454, 271, 454, 16055, 494, 382, 509, 382, 502, 382, 480, 454, 271, 692, 16665, 5999, 692, 5472, 10945, 616, 25965, 849, 267, 855, 711, 782, 25965, 616, 10945, 267, 1152, 31164, 25965, 616, 2808, 4009, 780, 288, 4009, 568, 513, 7463, 1826, 540, 513, 13551, 269, 2353, 10945, 616, 849, 25965, 267, 855, 1152, 930, 25965, 616, 10945, 780, 5591, 267, 1152, 930, 25965, 616, 10945, 269, 1280, 513, 13551, 547, 581, 513, 4009, 267, 782, 5011, 1590, 581, 3160, 630, 1492, 13551, 1590, 581, 31164, 1040, 8307, 519, 31164, 25965, 616, 10945, 267, 855, 1169, 4009, 568, 513, 13551, 269, 769, 2110, 267, 519, 10945, 616, 513, 15410, 540, 25965, 538, 799, 782, 2185, 5011, 616, 3160, 538, 3259, 269, 2368, 25965, 616, 10945, 267, 543, 782, 10945, 616, 25965, 780, 288, 4009, 568, 513, 13551, 267, 25965, 1810, 1405, 723, 547, 581, 10945, 855, 10945, 723, 547, 581, 25965, 780, 5591, 269, 634, 4009, 568, 513, 2027, 2013, 540, 13551, 1141, 782, 519, 5011, 616, 540, 3160, 3259, 269, 1924, 930, 25965, 616, 10945, 267, 543, 782, 10945, 616, 25965, 780, 8133, 267, 855, 782, 25965, 616, 711, 4009, 692, 5591, 596, 1590, 581, 12161, 532, 25965, 585, 32077, 639, 781, 692, 288, 4009, 24388, 568, 835, 4171, 1079, 7475, 616, 4009, 543, 519, 6967, 476, 275, 8188, 616, 25965, 780, 8133, 6993, 4009, 568, 513, 2027, 2186, 540, 13551, 267, 835, 609, 782, 5011, 540, 3160, 3259, 269, 1924, 782, 4009, 616, 25965, 269, 5472, 25965, 616, 711, 10945, 267, 930, 630, 2865, 264, 723, 1079, 5011, 3476, 982, 519, 824, 1079, 780, 305, 624, 9201, 1810, 1405, 723, 4009, 5072, 780, 305, 624, 9201, 723, 476, 275, 678, 3424, 7285, 543, 930, 25521, 3085, 1405, 723, 476, 275, 1318, 7285, 269, 8307, 1079, 25521, 814, 476, 275, 1318, 7285, 2073, 4009, 543, 13551, 692, 17026, 267, 15069, 26834, 19987, 267, 32077, 328, 263, 680, 1116, 585, 32077, 639, 1070, 25965, 267, 737, 2572, 692, 5472, 10945, 616, 25965, 267, 855, 711, 782, 25965, 616, 10945, 269, 26023, 267, 513, 4009, 568, 513, 13551, 1141, 782, 5011, 616, 519, 1482, 3259, 269, 1717, 267, 3246, 602, 519, 8700, 568, 3368, 540, 519, 3259, 267, 610, 13030, 17930, 267, 543, 596, 6443, 519, 1079, 25965, 2059, 519, 835, 540, 519, 5011, 602, 568, 3476, 267, 1079, 25965, 666, 1118, 513, 4009, 269, 7151, 281, 476, 272, 343, 273, 13551, 8678, 609, 1776, 476, 272, 343, 273, 13551, 786, 1118 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 621, 543, 1205, 513, 2603, 540, 1344, 827, 1018, 519, 5409, 19096, 5654, 899, 269, 271, 4343, 275, 692, 11997, 267, 519, 14584, 568, 2469, 547, 581, 693, 630, 288, 267, 271, 5148, 519, 824, 14584, 786, 581, 693, 11196, 288, 267, 271, 1040, 271, 4375, 277, 692, 2791, 616, 2469, 547, 723, 513, 1448, 909, 1934, 602, 568, 2469, 547, 581, 630, 289, 267, 271, 5148, 543, 713, 3259, 267, 645, 267, 3947, 519, 3259, 540, 3368, 540, 519, 31669, 7852, 269, 31239, 279, 692, 4517, 1287, 267, 596, 616, 2469, 547, 723, 1776, 1448, 1862, 716, 1302, 267, 602, 568, 630, 271, 32390, 1070, 1317, 621, 568, 2059, 519, 586, 14289, 1862, 534, 1278, 1448, 267, 630, 271, 16427, 289, 1040, 271, 5655, 271, 692, 1607, 3845, 568, 645, 267, 689, 713, 1448, 547, 519, 4099, 282, 713, 3845, 568, 589, 269, 271, 5655, 280, 692, 4517, 1287, 1934, 267, 594, 723, 535, 272, 543, 535, 273, 282, 543, 519, 3845, 689, 835, 540, 1346, 547, 519, 4099, 568, 595, 269, 271, 6246, 277, 692, 2026, 594, 5018, 267, 596, 666, 723, 513, 5409, 19096, 602, 568, 20218, 19794, 269, 271, 4510, 278, 692, 3383, 267, 952, 519, 29529, 7852, 568, 7299, 267, 543, 519, 4099, 568, 693, 630, 271, 267, 271, 1070, 519, 3044, 1106, 568, 971, 602, 586, 273, 568, 2404, 609, 519, 589, 273, 2165, 269, 271, 3393, 272, 692, 4517, 1934, 267, 621, 568, 2318, 281, 865, 596, 616, 2921, 586, 273, 12458, 273, 910, 1535, 273, 20324, 273, 815, 476, 272, 269, 271, 5379, 274, 692, 1103, 713, 2013, 267, 1018, 596, 616, 2469, 547, 723, 568, 513, 14584, 1318, 1934, 693, 630, 271, 267, 288, 1070, 519, 824, 14584, 568, 1934, 693, 630, 271, 16427, 288, 5148, 1934, 568, 519, 29529, 7852, 269, 271, 5325, 271, 692, 4517, 1287, 267, 596, 616, 2469, 547, 723, 519, 31669, 7852, 282, 519, 3259, 540, 3368, 540, 602, 568, 2469, 547, 581, 645, 282, 519, 3259, 540, 519, 3003, 3364, 568, 476, 273, 289, 269, 271, 4366, 273, 692, 3383, 267, 713, 568, 2469, 547, 581, 930, 1448, 267, 630, 289, 267, 271, 5148, 543, 645, 273, 568, 2016, 1934, 267, 865, 596, 1223, 3362, 1265, 645, 676, 2921, 519, 4009, 3597, 269, 271, 5392, 276, 692, 4517, 1287, 267, 936, 1934, 568, 11196, 289, 267, 271, 1040, 30588, 273, 692, 3383, 1586, 267, 972, 616, 1079, 1114, 3044, 3029, 267, 4470, 593, 952, 596, 616, 2324, 609, 513, 5409, 19096, 30588, 276, 692, 7474, 814, 513, 8880, 29529, 7852, 610, 835, 602, 814, 513, 7299, 29529, 7852, 269, 30588, 279, 692, 306, 15036, 1007, 602, 649, 4769, 1405, 2911, 827, 609, 14248, 2354, 525, 568, 29297, 4925, 269, 4962, 272, 277, 692, 13434, 718, 602, 606, 29297, 1774, 568, 513, 1899, 602, 513, 7455, 593, 513, 3113, 4485, 267, 855, 621, 2760, 2965, 10301, 269, 32180, 271, 692, 4517, 29297, 4925, 616, 1360, 3730, 950, 596, 616, 3843, 547, 3113, 513, 5409, 19096, 269, 32180, 279, 692, 763, 4834, 616, 2016, 1934, 281, 1577, 781, 979, 6619, 543, 2721, 891, 1101, 269, 4962, 274, 275, 692, 3086, 267, 11291, 602, 713, 14584, 568, 693, 513, 1448, 630, 288, 267, 271, 5148, 713, 14584, 568, 693, 11196, 288, 267, 271, 1040, 4962, 274, 277, 692, 2252, 594, 2268, 519, 3259, 1862, 10472, 568, 519, 29529, 7852, 267, 543, 621, 568, 8880, 1862, 2280, 781, 2161, 602, 621, 7140, 856, 602, 645, 568, 1318, 909, 1934, 267, 630, 271, 32390, 1040, 4962, 275, 276, 692, 4517, 645, 568, 2469, 547, 581, 519, 3259, 689, 713, 1448, 547, 519, 4099, 282, 476, 273, 289, 786, 581, 519, 3259, 540, 519, 31669, 7852, 269, 271, 4649, 276, 692, 10190, 267, 594, 993, 2469, 547, 723, 1776, 1448, 1524, 1934, 267, 630, 271, 16427, 289, 1040, 4962, 277, 275, 692, 1432, 594, 666, 798, 568, 1106, 513, 4216, 267, 513, 13551, 282, 543, 519, 13551, 568, 2469, 547, 723, 14622, 1862, 296, 993, 2469, 547, 979, 2786, 909, 1934, 543, 2066, 1934, 269, 4962, 277, 279, 692, 11997, 267, 713, 568, 2469, 547, 581, 2016, 676, 11196, 288, 32390, 5148, 602, 568, 2469, 547, 581, 835, 14584, 269, 4962, 278, 279, 692, 296, 666, 979, 936, 1934, 543, 798, 519, 1482, 3364, 282, 594, 993, 2469, 547, 979, 2786, 909, 689, 713, 14584, 267, 543, 2786, 2066, 689, 713, 1448, 269, 4962, 279, 277, 692, 4517, 602, 568, 2469, 547, 2285, 803, 519, 1448, 630, 288, 32390, 1040, 4962, 280, 273, 692, 296, 3513, 798, 519, 1482, 3364, 1934, 281, 594, 979, 1524, 2047, 543, 2721, 513, 1899, 2066, 1934, 282, 713, 1448, 568, 2469, 547, 581, 11196, 288, 16427, 289, 1040, 4962, 280, 278, 692, 3080, 3803, 14584, 568, 1318, 1934, 281, 543, 713, 568, 2016, 676, 630, 288, 16427, 289, 1040, 271, 2568, 279, 692, 10498, 267, 1631, 596, 2721, 513, 4216, 1210, 891, 589, 543, 645, 2798, 282, 543, 1287, 596, 1491, 602, 13551, 543, 2721, 519, 32377, 269, 6187, 272, 279, 692, 2252, 596, 3136, 1346, 32377, 856, 267, 596, 786, 723, 519, 1079, 29297, 4925, 585, 519, 5409, 19096, 269, 6187, 274, 271, 692, 10498, 267, 865, 1142, 540, 891, 3515, 568, 606, 29297, 1774, 269, 271, 4792, 271, 692, 4517, 5469, 602, 519, 5409, 19096, 568, 2469, 547, 1935, 713, 267, 855, 621, 568, 711, 2965, 2469, 547, 3914, 621, 269, 271, 4792, 275, 692, 3383, 267, 621, 568, 2469, 547, 3136, 593, 543, 1935, 267, 855, 711, 3914, 267, 621, 282, 621, 568, 2469, 547, 1935, 899, 602, 269, 271, 5780, 274, 692, 5472, 1318, 267, 1631, 713, 568, 835, 1259, 547, 1175, 3113, 856, 519, 29297, 4925, 269, 6187, 278, 272, 692, 2791, 666, 849, 1265, 519, 3830, 282, 543, 585, 1318, 1934, 267, 649, 616, 2324, 609, 513, 5409, 19096, 609, 513, 8880, 29529, 7852, 269, 6187, 278, 277, 692, 3383, 267, 649, 616, 2469, 547, 1413, 693, 713, 3830, 269, 6187, 279, 277, 692, 2252, 594, 729, 2324, 609, 513, 7299, 835, 267, 594, 1131, 1413, 693, 713, 3830, 269, 6187, 279, 279, 692, 3086, 267, 1018, 1281, 713, 1611, 286, 4270, 267, 586, 11224, 13008, 263, 289, 12458, 32589, 269, 6187, 280, 272, 692, 1432, 713, 2965, 568, 281, 713, 645, 12458, 3947, 519, 9386, 540, 519, 29297, 1774, 269, 6187, 280, 278, 692, 13434, 718, 602, 586, 815, 544, 343, 1341, 536, 282, 2094, 519, 4099, 568, 693, 630, 271, 267, 271, 1070, 519, 586, 25435, 568, 476, 271, 282, 865, 1934, 267, 536, 815, 476, 271, 267, 865, 594, 993, 2469, 547, 723, 586, 815, 544, 343, 269, 271, 3583, 274, 692, 763, 9386, 267, 544, 267, 568, 645, 12458, 282, 645, 12458, 585, 713, 1899, 568, 2810, 547, 519, 1318, 630, 332, 815, 645, 12458, 5148, 5881, 272, 275, 692, 663, 519, 9386, 1934, 11224, 910, 289, 12458, 267, 1141, 519, 1899, 568, 13302, 607, 649, 979, 2509, 519, 1318, 269, 5881, 273, 275, 692, 3383, 1586, 267, 972, 616, 1079, 2081, 547, 4137, 856, 891, 29297, 4925, 269, 5881, 274, 275, 692, 2791, 666, 1175, 17250, 621, 856, 676, 5373, 713, 13551, 609, 14622, 693, 11196, 288, 32390, 1070, 630, 288, 32390, 1070, 11196, 288, 16427, 289, 264, 1862, 7474, 568, 2965, 630, 288, 32390, 1070, 2318, 630, 288, 32390, 264, 1862, 528, 11196, 288, 16427, 289, 1040, 5881, 274, 278, 692, 19352, 602, 13551, 543, 8831, 519, 32377, 269, 271, 4037, 275, 692, 7775, 596, 666, 946, 519, 4542, 267, 799, 786, 2285, 596, 519, 9386, 585, 891, 1079, 29297, 4925, 269, 271, 4037, 279, 692, 2252, 596, 1175, 3323, 856, 6616, 519, 589, 781, 543, 645, 781, 543, 16668, 891, 267, 1287, 596, 1223, 3362, 17250, 519, 5409, 19096, 267, 5881, 277, 276, 692, 20357, 596, 917, 602, 621, 568, 2469, 547, 1935, 891, 29297, 4925, 269, 5881, 278, 273, 692, 10498, 267, 865, 649, 723, 14437, 513, 2603, 827, 24275, 269, 5881, 278, 279, 692, 4517, 1175, 547, 3142, 621, 782, 1927, 281, 596, 616, 2469, 547, 2253, 676, 1603, 519, 3830, 538, 3044, 1106, 269, 271, 4281, 271, 692, 4517, 1287, 267, 585, 5409, 2513, 553, 267, 596, 616, 2469, 547, 3113, 519, 1079, 29297, 4925, 267, 607, 594, 1175, 4951, 269, 271, 4281, 277, 692, 3383, 267, 1577, 781, 1376, 856, 609, 606, 1383, 281, 1577, 781, 1118, 713, 1535, 273, 270, 280, 910, 586, 273, 270, 275, 815, 476, 272, 269, 5881, 280, 271, 692, 7712, 594, 723, 713, 538, 519, 1106, 1535, 273, 12458, 273, 630, 10472, 1535, 273, 2165, 568, 2318, 1934, 1070, 24699, 272, 692, 323, 22866, 676, 586, 273, 20324, 273, 815, 476, 272, 267, 1018, 594, 723, 568, 513, 8880, 29529, 7852, 269, 24699, 280, 692, 3383, 267, 713, 6645, 803, 602, 972, 568, 513, 8880, 29529, 7852, 269, 32146, 280, 692, 3383, 267, 602, 568, 875, 713, 568, 1175, 10199, 11516, 3481, 856, 2907, 267, 6029, 519, 29529, 7852, 2059, 1934, 269, 5400, 274, 271, 692, 7712, 621, 568, 538, 713, 1106, 267, 594, 917, 602, 589, 273, 815, 476, 280, 282, 4061, 267, 589, 815, 476, 274, 269, 5400, 275, 272, 692, 1607, 814, 513, 4099, 1318, 1934, 693, 630, 271, 267, 271, 1040, 5400, 276, 274, 692, 4517, 713, 1448, 1934, 568, 2469, 547, 581, 589, 267, 799, 568, 476, 274, 267, 476, 271, 269, 5400, 277, 271, 692, 14738, 1934, 267, 594, 993, 2469, 547, 723, 910, 288, 267, 610, 910, 274, 267, 476, 271, 269, 5400, 277, 278, 692, 3383, 267, 1250, 3804, 568, 547, 1118, 602, 13551, 8831, 856, 519, 32377, 269, 5400, 278, 273, 692, 4517, 1287, 267, 594, 1131, 581, 2111, 547, 3113, 713, 7157, 269, 5400, 278, 277, 692, 10498, 267, 645, 273, 815, 476, 275, 282, 4061, 267, 645, 815, 476, 273, 282, 865, 1318, 909, 1934, 693, 630, 296, 3513, 2322, 602, 1318, 972, 264, 630, 271, 267, 273, 264, 1862, 7474, 568, 2469, 547, 581, 645, 269, 5400, 279, 273, 692, 4517, 1287, 267, 1318, 1524, 1934, 693, 630, 271, 16427, 273, 264, 1862, 271, 3445, 274, 692, 3086, 267, 782, 594, 723, 547, 798, 568, 8831, 519, 1899, 909, 1934, 543, 1934, 282, 543, 891, 616, 2469, 547, 2743, 693, 630, 273, 267, 274, 1040, 271, 3445, 278, 692, 15761, 754, 513, 1899, 856, 1934, 282, 594, 993, 2469, 547, 723, 513, 14584, 1318, 1934, 693, 11196, 274, 267, 273, 1040, 6021, 272, 277, 692, 296, 993, 2469, 547, 723, 1776, 14584, 1934, 693, 11196, 274, 16427, 273, 1070, 543, 1287, 6368, 267, 835, 936, 1934, 693, 630, 274, 16427, 273, 1040, 6021, 273, 275, 692, 3086, 267, 713, 729, 2907, 11516, 3481, 593, 1934, 585, 803, 282, 855, 14322, 621, 729, 711, 972, 267, 594, 1131, 723, 3323, 856, 676, 5373, 713, 4216, 267, 6021, 274, 277, 692, 663, 1287, 267, 5373, 891, 3515, 14178, 856, 734, 1492, 29297, 4925, 269, 6021, 275, 275, 692, 4517, 1018, 568, 2469, 547, 4755, 568, 602, 713, 5409, 19096, 568, 2965, 2469, 547, 1935, 267, 855, 621, 568, 2760, 2469, 547, 12969, 609, 267, 519, 29297, 1774, 269, 6021, 277, 271, 692, 3383, 1586, 267, 2328, 519, 3830, 538, 3044, 1106, 267, 799, 1522, 2154, 11264, 519, 4009, 269, 6021, 278, 273, 692, 296, 5795, 621, 547, 596, 538, 3044, 1106, 2907, 282, 946, 602, 547, 4137, 856, 713, 13551, 269, 6021, 278, 278, 692, 4517, 596, 616, 2469, 547, 991, 547, 917, 589, 543, 645, 547, 4137, 856, 713, 13551, 269, 6021, 279, 273, 692, 19352, 519, 29297, 4925, 267, 543, 2721, 1287, 519, 5409, 19096, 16042, 630, 8117, 711, 8757, 264, 1346, 29297, 4925, 269, 6021, 279, 276, 692, 3383, 2484, 267, 649, 723, 1044, 6158, 827, 5409, 2513, 553, 609, 513, 4099, 693, 519, 5169, 630, 271, 267, 271, 1040, 271, 4200, 274, 692, 4913, 267, 602, 568, 711, 2469, 547, 2141, 581, 519, 2013, 269, 1911, 271, 692, 2252, 519, 4099, 568, 693, 1776, 1448, 267, 630, 327, 267, 330, 1070, 602, 568, 711, 630, 271, 267, 271, 1070, 1287, 3044, 1106, 5654, 899, 713, 269, 1911, 273, 692, 2005, 568, 1360, 2147, 547, 1018, 649, 4718, 609, 519, 5169, 540, 519, 4099, 267, 4849, 3079, 540, 1175, 1535, 273, 12458, 273, 267, 649, 1631, 723, 606, 554, 543, 513, 737, 269, 1911, 279, 692 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 17683, 281, 30016, 268, 279, 454, 12163, 287, 10461, 281, 300, 7897, 454, 287, 16942, 281, 342, 836, 322, 784, 3539, 320, 287, 326, 21166, 2593, 454, 287, 5503, 281, 476, 1708, 272, 268, 5400, 268, 1428, 476, 1556, 281, 4905, 692, 12571, 486, 23946, 370, 13213, 508, 14756, 511, 25060, 374, 25426, 368, 16088, 454, 26406, 496, 31365, 18263, 489, 12571, 492, 8147, 27882, 352, 27747, 372, 7511, 30006, 498, 20001, 481, 12571, 486, 23946, 370, 22287, 367, 23746, 692, 20701, 454, 5035, 8827, 24998, 2187, 825, 1219, 19467, 4311, 267, 11996, 2187, 1038, 8173, 1038, 2433, 6943, 11996, 281, 5903, 314, 8266, 27776, 27663, 1038, 2433, 337, 6943, 281, 5903, 314, 8266, 27776, 27663, 1038, 8173, 1038, 759, 815, 11713, 1038, 11996, 31699, 31107, 284, 14433, 1535, 281, 343, 314, 271, 7481, 1038, 585, 8884, 538, 11996, 912, 2018, 952, 711, 759, 610, 8884, 314, 271, 316, 3436, 759, 15631, 272, 6012, 272, 14158, 3546, 759, 6910, 263, 5793, 1998, 994, 2018, 3116, 912, 3546, 759, 15631, 272, 6012, 272, 316, 815, 3193, 263, 637, 15631, 272, 6012, 272, 3910, 8884, 314, 271, 7481, 1038, 2132, 759, 454, 0, 258, 17683, 281, 583, 325, 268, 279, 454, 12163, 25426, 362, 30903, 502, 418, 493, 493, 13213, 364, 16088, 22047, 12255, 14756, 482, 19404, 490, 30837, 351, 20069, 27882, 352, 12255, 25520, 420, 368, 509, 12255, 8147, 17276, 365, 480, 13213, 508, 14756, 511, 31878, 31365, 28578, 7511, 31006, 27962, 7511, 25520, 29219, 12486, 28884, 418, 365, 480, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 20992, 302, 18217, 994, 25335, 352, 19540, 367, 25913, 418, 350, 486, 16088, 454, 20693, 357, 26233, 479, 25335, 482, 10254, 496, 7511, 25335, 352, 25622, 267, 31185, 5157, 316, 23989, 419, 353, 374, 421, 479, 491, 31308, 484, 28996, 21588, 361, 328, 14748, 30317, 27381, 510, 7511, 28793, 22390, 503, 23284, 328, 14756, 497, 16533, 378, 7511, 12255, 14756, 482, 7511, 31006, 27962, 25520, 8147, 454, 28098, 30678, 21588, 361, 328, 14748, 30317, 27381, 510, 20721, 510, 30837, 508, 20069, 4970, 353, 26175, 491, 20881, 487, 418, 489, 358, 16088, 272, 24724, 31176, 491, 328, 268, 272, 14748, 30317, 27381, 510, 7511, 12255, 14756, 482, 7511, 31006, 27962, 25520, 20693, 510, 24662, 8147, 27882, 353, 28793, 31389, 5157, 268, 272, 316, 285, 271, 5405, 505, 273, 24724, 31176, 491, 328, 268, 272, 14748, 30317, 27381, 510, 7511, 12255, 14756, 482, 7511, 31006, 27962, 25520, 21251, 20693, 510, 24662, 267, 27882, 353, 28793, 31389, 5157, 268, 272, 316, 27045, 271, 692, 20701, 5035, 8827, 24998, 2187, 825, 1219, 1265, 16655, 3519, 6635, 337, 11764, 4311, 267, 2855, 2187, 1038, 562, 815, 7003, 19906, 994, 1038, 31185, 815, 1496, 271, 316, 2608, 562, 454, 1038, 31185, 314, 271, 316, 815, 2855, 314, 271, 2639, 1038, 585, 1775, 538, 2039, 263, 272, 267, 562, 2187, 2018, 10917, 272, 815, 31185, 5157, 268, 272, 316, 1341, 2855, 5157, 2639, 2018, 10917, 273, 815, 2855, 5157, 2639, 2018, 31185, 5157, 316, 815, 3193, 6025, 11391, 272, 267, 10917, 273, 994, 1038, 2132, 3193, 5560, 335, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 2855, 815, 30585, 272, 267, 273, 267, 274, 16427, 276, 267, 272, 267, 276, 267, 280, 2639, 825, 1820, 4433, 26098, 16655, 3519, 6635, 337, 11764, 19906, 4297, 0, 258, 476, 16043, 495, 10524, 361, 23746, 23284, 17958, 273, 265, 272, 7511, 16533, 493, 419, 509, 358, 25051, 351, 418, 357, 359, 419, 507, 478, 16043, 500, 26033, 483, 419, 360, 500, 419, 507, 478, 31308, 375, 26109, 484, 25203, 500, 418, 505, 368, 27962, 7511, 419, 509, 358, 25051, 351, 12486, 13644, 371, 25426, 362, 17958, 333, 14748, 273, 265, 272, 7511, 16533, 493, 419, 509, 358, 25051, 351, 20721, 510, 19404, 491, 9463, 510, 17295, 364, 26109, 484, 25203, 500, 22047, 273, 265, 333, 7511, 27962, 419, 509, 358, 25051, 351, 8147, 26233, 375, 10429, 365, 20069, 14035, 504, 16533, 495, 26175, 491, 25913, 25622, 5405, 509, 454, 258, 268, 265, 268, 8193, 281, 583, 325, 268, 279, 20609, 8894, 5035, 8827, 912, 825, 1219, 6439, 290, 1478, 4311, 267, 1297, 2187, 1038, 1948, 2328, 3009, 1934, 454, 1038, 8638, 815, 11713, 1038, 1267, 815, 476, 272, 454, 1038, 952, 1297, 2652, 476, 271, 912, 2018, 2132, 476, 271, 454, 1038, 952, 1297, 2652, 476, 272, 912, 2018, 2132, 1267, 454, 1038, 8638, 6910, 31114, 994, 1038, 8638, 6910, 31114, 994, 1038, 1775, 815, 476, 273, 454, 1038, 1247, 1775, 10922, 1297, 912, 2018, 8638, 6910, 10857, 1235, 5157, 910, 476, 272, 316, 1341, 8638, 5157, 910, 476, 273, 7481, 2018, 1775, 6834, 476, 272, 454, 1038, 2132, 8638, 5157, 910, 476, 272, 316, 0, 258, 17683, 281, 583, 325, 268, 279, 454, 12163, 25426, 362, 30903, 502, 418, 493, 493, 13213, 364, 16088, 454, 14756, 503, 27936, 22047, 419, 509, 358, 421, 502, 369, 8147, 419, 509, 358, 421, 502, 369, 23746, 23284, 13213, 505, 27310, 10524, 375, 418, 482, 493, 27310, 25520, 28578, 7511, 271, 8147, 272, 420, 377, 361, 29004, 351, 8147, 420, 377, 361, 29004, 351, 12571, 492, 7511, 419, 509, 358, 421, 502, 369, 454, 30006, 493, 13601, 27310, 421, 25693, 15159, 11590, 490, 13213, 505, 10254, 370, 28786, 419, 510, 479, 8147, 418, 365, 480, 419, 509, 358, 421, 502, 369, 420, 377, 361, 29004, 351, 12571, 492, 11590, 490, 13213, 505, 10254, 370, 28786, 419, 510, 479, 31006, 27962, 7511, 25520, 29219, 692, 25335, 352, 19540, 367, 25913, 418, 350, 486, 16088, 454, 25263, 502, 10429, 486, 27310, 420, 377, 361, 29004, 351, 8147, 16533, 484, 16533, 377, 19404, 493, 16533, 484, 421, 360, 502, 12916, 491, 420, 377, 361, 29004, 351, 20992, 272, 454, 10429, 370, 418, 361, 350, 28578, 420, 377, 361, 29004, 351, 8147, 30006, 493, 13601, 28578, 7511, 12255, 421, 25693, 15159, 25203, 372, 12571, 490, 7511, 8147, 19867, 478, 23284, 28578, 19867, 478, 21928, 7511, 272, 8147, 420, 370, 488, 14035, 504, 420, 370, 488, 417, 354, 377, 454, 20701, 5035, 8827, 24998, 2187, 825, 1219, 1558, 3700, 307, 4311, 267, 589, 2187, 1038, 544, 815, 7003, 10490, 994, 1038, 562, 815, 7003, 10490, 314, 271, 7481, 1038, 9587, 815, 20886, 271, 30297, 332, 585, 1775, 538, 2039, 3799, 22708, 1038, 585, 1775, 267, 4737, 538, 26246, 10490, 2187, 2018, 585, 795, 267, 897, 538, 26246, 21405, 2187, 3546, 9587, 14728, 6012, 328, 316, 815, 897, 692, 1038, 2132, 9587, 692, 825, 1219, 2780, 10734, 2435, 19571, 4311, 267, 331, 2187, 1038, 562, 815, 7003, 10857, 994, 1038, 1535, 815, 1496, 273, 1262, 328, 585, 1775, 538, 2039, 3799, 22708, 1038, 561, 18622, 2091, 4590, 1038, 759, 815, 4786, 10857, 10033, 513, 14720, 281, 320, 265, 321, 21726, 267, 331, 994, 1038, 2132, 2040, 263, 637, 994, 825, 1219, 5119, 30360, 4311, 267, 589, 2187, 1038, 8173, 1038, 2433, 6943, 589, 281, 5903, 314, 8266, 27776, 27663, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 12361, 476, 27310, 16088, 31006, 421, 360, 502, 12916, 491, 20992, 272, 454, 1038, 585, 967, 267, 4737, 538, 26246, 10490, 2187, 2018, 952, 4737, 314, 271, 316, 2652, 476, 271, 912, 3546, 585, 1775, 25814, 538, 26246, 21405, 2187, 7386, 952, 795, 2652, 476, 271, 912, 13376, 4737, 5157, 24557, 272, 454, 7386, 3116, 912, 13376, 4737, 5157, 24557, 271, 454, 3546, 1820, 21405, 994, 2018, 589, 314, 785, 316, 815, 4737, 692, 1038, 12361, 476, 28578, 16088, 272, 7511, 12255, 19404, 493, 31006, 14035, 504, 454, 1038, 1948, 476, 10429, 486, 13213, 505, 27310, 420, 377, 361, 419, 377, 362, 454, 1038, 589, 318, 307, 815, 1582, 269, 5471, 3700, 307, 10490, 994, 1038, 585, 967, 267, 4737, 538, 26246, 10490, 318, 307, 2187, 2018, 1293, 271, 815, 476, 271, 454, 2018, 1293, 272, 815, 476, 271, 454, 2018, 585, 1775, 538, 4737, 912, 3546, 952, 1775, 2652, 476, 272, 912, 7386, 1293, 272, 23785, 272, 454, 3546, 3116, 912, 7386, 1293, 271, 23785, 272, 454, 2018, 952, 1293, 272, 283, 1293, 271, 912, 3546, 1948, 13127, 28187, 31563, 272, 7511, 12255, 25203, 362, 27962, 30678, 271, 7511, 12255, 25203, 362, 8147, 421, 480, 352, 18263, 486, 13213, 505, 27310, 420, 377, 361, 29004, 351, 454, 25639, 585, 1775, 25814, 538, 26246, 21405, 2187, 7386, 952, 795, 2652, 476, 271, 912, 13376, 4737, 5157, 24557, 272, 454, 7386, 3116, 912, 13376, 4737, 5157, 24557, 271, 3097, 2018, 589, 318, 307, 314, 785, 316, 815, 4737, 28329, 1038, 1948, 19540, 491, 13213, 505, 27310, 420, 377, 361, 419, 377, 362, 454, 1038, 589, 815, 1582, 269, 5471, 3700, 307, 10490, 318, 307, 994, 1038, 759, 815, 476, 271, 454, 1038, 585, 4737, 538, 589, 912, 2018, 4737, 23544, 815, 1582, 2593, 13459, 10734, 2435, 19571, 21405, 994, 2018, 759, 6834, 4737, 23544, 454, 1038, 2132, 759, 13872, 1363, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 589, 815, 20886, 271, 267, 271, 267, 272, 267, 272, 25662, 272, 267, 271, 267, 272, 267, 271, 25662, 272, 267, 272, 267, 271, 267, 271, 27663, 825, 521, 269, 9795, 30360, 10490, 264, 0, 258, 268, 265, 268, 322, 5317, 281, 583, 325, 268, 279, 268, 265, 8894, 5035, 8827, 24998, 2187, 258, 420, 503, 377, 419, 482, 370, 20881, 504, 13213, 485, 29072, 8147, 12916, 484, 15159, 10533, 486, 27064, 485, 22909, 479, 12916, 492, 8147, 13213, 502, 15159, 28884, 417, 500, 482, 30678, 17958, 12248, 417, 499, 488, 2676, 258, 8873, 7575, 29644, 3488, 308, 10807, 2652, 7575, 29644, 3488, 291, 10807, 543, 7575, 29644, 3488, 299, 10807, 2652, 7575, 29644, 3488, 305, 5073, 825, 1219, 9794, 290, 22511, 4311, 267, 7575, 2187, 1038, 8173, 1038, 2433, 6943, 7575, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 7575, 9078, 815, 1592, 9852, 7174, 994, 1038, 9206, 318, 340, 815, 476, 272, 454, 1038, 9206, 5091, 815, 910, 272, 454, 1038, 9206, 9078, 815, 476, 273, 454, 1038, 9206, 24417, 815, 910, 273, 454, 1038, 2040, 815, 476, 271, 454, 1038, 585, 552, 538, 7575, 9078, 912, 2018, 952, 552, 2652, 1412, 308, 12466, 3546, 2040, 6834, 9206, 318, 340, 454, 2018, 952, 552, 2652, 1412, 291, 12466, 3546, 2040, 6834, 9206, 5091, 454, 2018, 952, 552, 2652, 1412, 299, 12466, 3546, 2040, 6834, 9206, 9078, 454, 2018, 952, 552, 2652, 1412, 305, 12466, 3546, 2040, 6834, 9206, 24417, 454, 1038, 952, 2040, 2652, 476, 271, 912, 2018, 2132, 6936, 454, 1038, 2132, 8771, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 1820, 4433, 269, 9080, 613, 290, 22511, 2891, 28384, 257, 4297, 0, 12163, 22047, 10951, 374, 417, 503, 357, 32512, 12916, 491, 30678, 22047, 544, 1535, 562, 22614, 377, 495, 21550, 376, 7511, 26266, 355, 31968, 25335, 496, 5236, 376, 486, 420, 369, 371, 417, 356, 489, 30536, 21928, 31284, 18713, 378, 18809, 21550, 485, 18777, 364, 20992, 2108, 9359, 892, 5236, 376, 487, 12486, 692, 10951, 374, 417, 503, 357, 32512, 30006, 493, 418, 361, 350, 9463, 359, 420, 25693, 12571, 495, 31284, 16043, 500, 26033, 483, 12571, 495, 9463, 367, 26175, 375, 20693, 357, 13601, 27882, 354, 12486, 10951, 374, 417, 503, 357, 32512, 13644, 499, 18713, 378, 20001, 378, 28996, 419, 377, 495, 21550, 376, 7511, 9463, 367, 31284, 25335, 496, 27818, 21928, 31284, 18713, 378, 18809, 21550, 485, 18777, 364, 20992, 2108, 19226, 880, 892, 24724, 12486, 692, 27064, 364, 21928, 26033, 481, 420, 503, 495, 419, 377, 495, 21550, 376, 18809, 20069, 421, 504, 506, 419, 351, 491, 29830, 358, 8147, 421, 504, 506, 419, 351, 491, 29830, 358, 17958, 272, 23521, 354, 23989, 419, 353, 374, 8147, 271, 23989, 419, 353, 374, 419, 358, 374, 419, 377, 495, 21550, 376, 12486, 421, 480, 352, 18263, 486, 10524, 492, 26266, 355, 31968, 25335, 496, 28996, 9463, 367, 31284, 25335, 496, 16533, 484, 25263, 504, 20069, 14035, 504, 16533, 495, 23521, 350, 21251, 12571, 490, 7511, 420, 371, 363, 23523, 482, 5405, 509, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 684, 1664, 1790, 23411, 268, 4512, 692, 31389, 26233, 507, 420, 371 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 273, 333, 268, 272, 267, 476, 273, 333, 268, 274, 267, 2507, 267, 476, 274, 267, 476, 272, 2609, 630, 22103, 1284, 1205, 713, 676, 4358, 609, 513, 31062, 5832, 267, 1287, 2921, 513, 31062, 5832, 593, 1018, 3788, 3092, 269, 898, 779, 7168, 1454, 519, 1101, 3364, 596, 2461, 2693, 547, 2119, 780, 13706, 606, 1884, 747, 664, 609, 2450, 589, 538, 519, 630, 333, 28504, 284, 274, 264, 7470, 267, 543, 1788, 883, 519, 2034, 543, 3791, 10974, 269, 634, 3239, 5036, 616, 3982, 267, 1317, 6382, 513, 1875, 2389, 337, 20190, 840, 268, 13548, 1131, 581, 513, 5832, 269, 1924, 649, 723, 589, 5036, 538, 519, 630, 333, 28504, 284, 273, 264, 7470, 269, 1215, 1082, 666, 581, 538, 1142, 5832, 538, 519, 17883, 630, 22103, 4270, 267, 952, 972, 616, 811, 982, 562, 538, 1022, 5832, 538, 630, 15992, 1287, 1079, 1590, 723, 1044, 25528, 689, 2609, 540, 519, 630, 333, 28504, 284, 274, 264, 7470, 609, 519, 1482, 1101, 11282, 267, 543, 865, 14183, 513, 2270, 618, 6935, 269, 1924, 538, 1249, 972, 616, 693, 1034, 562, 3239, 2798, 538, 1022, 540, 519, 11800, 540, 630, 22103, 1924, 649, 1631, 723, 513, 3808, 540, 1269, 333, 317, 273, 10608, 1809, 540, 1576, 267, 930, 540, 519, 11800, 538, 630, 8472, 723, 3259, 1447, 982, 562, 267, 865, 649, 616, 18530, 2476, 1344, 269, 11569, 267, 519, 1297, 540, 2592, 2798, 538, 513, 2016, 5832, 568, 693, 1034, 692, 7445, 10946, 3799, 12101, 3667, 346, 26319, 540, 5832, 348, 1070, 6911, 663, 865, 519, 1297, 540, 3239, 2798, 538, 2698, 568, 22112, 676, 692, 259, 333, 10954, 24126, 266, 333, 266, 630, 333, 268, 272, 11924, 263, 333, 268, 274, 264, 10954, 24126, 266, 272, 267, 6911, 3602, 972, 616, 562, 270, 273, 12215, 540, 562, 538, 519, 1101, 3368, 540, 519, 2040, 269, 28518, 713, 2040, 3947, 4399, 2765, 346, 274, 333, 317, 273, 2410, 275, 20954, 4010, 607, 649, 4941, 780, 27066, 692, 314, 272, 316, 1107, 645, 3326, 984, 553, 267, 26064, 630, 1960, 272, 264, 1107, 3281, 11306, 543, 1772, 6016, 574, 13011, 21153, 8017, 269, 12232, 1930, 14092, 947, 1934, 780, 258, 932, 1622, 543, 1884, 747, 1622, 692, 296, 4076, 5063, 1044, 693, 519, 5177, 6953, 2426, 776, 5162, 522, 9805, 328, 611, 3786, 538, 570, 1092, 267, 585, 1018, 568, 1631, 1250, 15795, 942, 269, 1306, 1134, 607, 3257, 930, 540, 1250, 1378, 960, 267, 723, 10150, 519, 4686, 4129, 542, 540, 930, 15002, 2065, 2036, 13541, 923, 269, 898, 4667, 547, 581, 513, 2199, 14583, 540, 519, 25190, 517, 23346, 6240, 602, 2016, 3670, 2395, 693, 513, 6310, 2680, 538, 21640, 267, 693, 2547, 835, 3693, 689, 2715, 305, 4461, 599, 3069, 267, 661, 6113, 657, 4149, 2763, 651, 637, 267, 1884, 747, 1622, 538, 519, 5409, 322, 4209, 348, 786, 581, 5941, 267, 609, 5506, 835, 269, 2201, 713, 8317, 267, 782, 941, 5941, 267, 865, 594, 2219, 594, 8910, 2328, 1945, 827, 693, 2547, 835, 540, 873, 780, 303, 657, 1115, 543, 9859, 1035, 5670, 545, 11708, 692, 1607, 3357, 909, 593, 519, 1966, 1305, 9112, 676, 519, 23826, 3401, 269, 634, 3312, 19862, 4280, 1053, 547, 1397, 602, 1851, 1022, 476, 1704, 2318, 9981, 267, 972, 616, 2901, 2947, 971, 602, 1100, 835, 17337, 1022, 824, 267, 610, 2947, 971, 602, 1851, 1022, 6292, 267, 835, 17337, 519, 824, 780, 2005, 568, 9425, 2312, 1946, 1297, 3069, 4249, 2370, 1909, 269, 1284, 3651, 519, 2016, 9981, 547, 519, 14622, 540, 513, 3113, 267, 543, 8164, 513, 17337, 536, 267, 649, 1039, 513, 9859, 6316, 689, 519, 14584, 7222, 547, 513, 547, 519, 14584, 7222, 547, 536, 269, 11109, 12261, 519, 2016, 3510, 883, 513, 17033, 2036, 13541, 658, 3948, 267, 22508, 2299, 649, 666, 14377, 519, 3804, 883, 519, 1482, 1893, 269, 1403, 649, 666, 1265, 513, 5832, 540, 2185, 9859, 8728, 630, 1156, 576, 2947, 14622, 1107, 581, 2264, 14845, 946, 540, 519, 2262, 2048, 26319, 685, 1934, 264, 1287, 649, 723, 1336, 519, 2034, 2009, 4781, 269, 6684, 267, 952, 649, 666, 1265, 606, 1109, 656, 747, 664, 267, 513, 1305, 540, 2947, 14622, 609, 1100, 9859, 8728, 1063, 873, 267, 1287, 649, 723, 1336, 519, 1101, 2009, 4781, 780, 2005, 779, 4502, 15663, 602, 519, 9859, 3113, 649, 616, 2324, 609, 609, 568, 1098, 1438, 269, 2334, 568, 267, 8164, 972, 568, 606, 6316, 513, 15010, 321, 543, 536, 15010, 322, 267, 972, 786, 849, 581, 606, 6316, 513, 15010, 322, 269, 901, 5205, 5612, 689, 519, 8954, 2225, 2783, 269, 1703, 616, 849, 1100, 9859, 9979, 538, 519, 3113, 267, 2094, 6382, 972, 1131, 581, 513, 4783, 540, 9981, 1141, 1142, 5258, 922, 24288, 269, 1809, 540, 1576, 267, 950, 513, 17337, 536, 543, 891, 616, 3982, 2318, 9981, 267, 713, 1797, 602, 536, 568, 14553, 3677, 982, 513, 267, 543, 865, 713, 6935, 3112, 4783, 780, 1103, 1249, 267, 1851, 513, 1305, 540, 2318, 9981, 267, 8954, 2225, 11225, 513, 9864, 1931, 267, 799, 649, 1522, 3442, 547, 5581, 607, 1022, 19280, 2436, 519, 2404, 9859, 3113, 568, 1098, 1438, 543, 1035, 5670, 545, 267, 4352, 15069, 649, 1223, 946, 1893, 811, 6923, 2404, 609, 1931, 902, 269, 23657, 1259, 267, 689, 1631, 593, 649, 2015, 1064, 1115, 543, 519, 2404, 667, 8980, 338, 630, 323, 20526, 1035, 5670, 545, 11708, 264, 30430, 780, 291, 559, 10290, 779, 11532, 692, 1103, 519, 3312, 1966, 267, 649, 616, 3168, 585, 2901, 513, 1804, 5832, 267, 610, 513, 1804, 1884, 747, 664, 269, 1284, 616, 3843, 547, 6961, 602, 621, 779, 711, 2009, 547, 723, 4102, 5832, 2450, 693, 1034, 2185, 267, 543, 4102, 1884, 747, 664, 2450, 693, 1034, 2185, 950, 972, 616, 476, 1704, 14622, 267, 865, 649, 14353, 972, 949, 930, 5817, 2497, 281, 538, 930, 2631, 5310, 519, 14584, 1305, 568, 519, 2048, 28237, 685, 540, 513, 5832, 543, 606, 1884, 747, 664, 267, 610, 693, 2547, 513, 1505, 540, 6721, 1884, 747, 1622, 689, 513, 2582, 14584, 780, 12179, 3118, 267, 835, 3948, 540, 667, 559, 10290, 779, 11532, 568, 607, 5205, 1384, 13750, 618, 476, 272, 281, 538, 513, 1064, 564, 609, 16354, 266, 272, 2609, 267, 972, 568, 2901, 513, 5832, 540, 2450, 562, 266, 272, 267, 610, 606, 1884, 747, 664, 540, 2450, 544, 266, 272, 780, 21982, 562, 284, 332, 284, 275, 5612, 26088, 519, 3312, 1966, 827, 3885, 540, 16975, 269, 2755, 713, 568, 519, 1034, 3730, 3948, 1934, 267, 621, 779, 4440, 711, 519, 3312, 267, 799, 3081, 519, 1739, 1384, 13750, 618, 476, 273, 281, 538, 513, 1064, 564, 267, 972, 6818, 4399, 24837, 346, 290, 4151, 513, 17883, 883, 11800, 267, 543, 606, 1884, 747, 664, 1269, 288, 259, 971, 602, 1269, 24689, 24837, 346, 290, 348, 347, 284, 347, 288, 347, 16859, 7230, 1046, 476, 272, 281, 8074, 602, 585, 1022, 17883, 883, 11800, 543, 1022, 1884, 747, 664, 267, 649, 723, 1269, 24689, 24837, 346, 290, 348, 24689, 613, 1923, 288, 347, 8961, 2094, 596, 666, 1406, 723, 811, 982, 835, 11347, 689, 1022, 5832, 538, 519, 1884, 747, 664, 269, 1924, 15048, 476, 273, 568, 6031, 602, 7862, 1281, 2965, 3180, 780, 7230, 1046, 476, 273, 281, 15048, 476, 272, 5205, 5612, 689, 15048, 476, 273, 269, 1403, 782, 1884, 747, 1622, 1185, 2450, 693, 1034, 544, 267, 1287, 972, 779, 513, 17883, 883, 693, 1034, 544, 11800, 269, 1809, 1142, 5832, 814, 2450, 562, 267, 865, 519, 2698, 2450, 540, 519, 3113, 568, 693, 1034, 544, 333, 269, 2552, 2784, 2109, 780, 308, 985, 22066, 6169, 2994, 585, 667, 559, 10290, 692, 7712, 1585, 5100, 1762, 1004, 945, 4769, 1406, 917, 519, 3948, 610, 6169, 540, 667, 559, 10290, 779, 11532, 13986, 547, 1265, 621, 630, 514, 519, 1106, 540, 15048, 476, 272, 267, 543, 538, 513, 2027, 2013, 264, 538, 13113, 942, 2175, 267, 621, 779, 2653, 547, 2911, 827, 1018, 3085, 1406, 960, 267, 543, 2119, 547, 2744, 7214, 1871, 676, 27216, 1946, 780, 1892, 1280, 1326, 1154, 8846, 281, 538, 2489, 835, 1522, 1134, 4323, 513, 1966, 676, 6998, 2436, 649, 723, 811, 1344, 982, 649, 991, 269, 1809, 24937, 519, 8846, 540, 519, 8728, 568, 18530, 2476, 1932, 1454, 1344, 269, 2991, 3257, 713, 267, 1884, 747, 1622, 616, 5386, 267, 855, 6148, 596, 991, 547, 8858, 930, 3768, 20526, 2048, 577, 1622, 9957, 28791, 891, 3768, 20526, 11800, 616, 1454, 3476, 982, 596, 616, 17935, 585, 267, 596, 786, 6560, 547, 18949, 9859, 11800, 856, 540, 873, 563, 1892, 7316, 666, 519, 3803, 14584, 979, 286, 281, 538, 513, 5929, 7708, 701, 267, 835, 1522, 8858, 513, 9859, 3113, 593, 16354, 14622, 609, 9444, 513, 5832, 540, 2450, 562, 266, 272, 6862, 606, 1884, 747, 664, 540, 2450, 544, 266, 272, 269, 1284, 3801, 547, 8044, 602, 713, 4070, 568, 9247, 2189, 267, 543, 602, 621, 4422, 4636, 950, 649, 1039, 606, 3063, 14584, 269, 1306, 513, 2489, 1448, 267, 621, 4667, 12691, 547, 581, 4443, 547, 6961, 602, 4010, 835, 1362, 540, 19383, 814, 513, 2016, 3959, 538, 519, 16354, 2013, 267, 982, 547, 6961, 1100, 19383, 814, 519, 1482, 3959, 538, 519, 16354, 266, 272, 2013, 269, 589, 1796, 29671, 6169, 540, 22464, 568, 2693, 547, 581, 2182, 267, 610, 513, 24320, 2213, 556, 327, 1662, 540, 606, 4890, 6169, 540, 519, 3312, 3948, 563, 1892, 3816, 8221, 513, 5832, 281, 1403, 596, 4894, 513, 5832, 540, 31062, 3259, 267, 1287, 267, 585, 27171, 267, 1018, 596, 723, 2451, 568, 544, 3799, 268, 272, 11924, 272, 14622, 269, 1403, 596, 723, 513, 1279, 5832, 2451, 267, 1287, 596, 2461, 2944, 267, 4352, 12366, 1275, 814, 8854, 4636, 12341, 269, 1924, 596, 723, 606, 1884, 747, 664, 2450, 562, 538, 1018, 3788, 269, 1809, 621, 779, 11207, 15458, 1946, 621, 1058, 581, 2009, 547, 8831, 519, 1884, 747, 664, 609, 835, 540, 519, 14622, 596, 4076, 1175, 6569, 780, 2304, 4890, 6169, 540, 667, 559, 10290, 630, 13750, 618, 476, 272, 1070, 543, 1079, 4539, 692, 1607, 3884, 1406, 2731, 513, 6169, 267, 3079, 513, 1259, 540, 1362, 4328, 519, 14622, 538, 519, 9859, 3113, 865, 602, 713, 4528, 540, 667, 559, 10290, 269, 1306, 649, 1767, 4505, 267, 649, 4952, 972, 949, 581, 930, 1587, 2497, 269, 769, 1880, 267, 649, 2503, 547, 581, 2111, 547, 1265, 513, 31062, 5832, 267, 543, 513, 8799, 1884, 747, 664, 2404, 547, 1142, 3693, 540, 519, 31062, 5832, 780, 2171, 1376, 676, 15603, 1269, 309, 318, 271, 259, 2874, 540, 782, 519, 14622, 799, 616, 2959, 267, 602, 568, 267, 723, 4642, 967, 12801, 269, 1452, 616, 6922, 320, 538, 519, 9864, 19280, 4259, 269, 3767, 1577, 1269, 309, 318, 272, 259, 2874, 540, 782, 14622, 4171, 538, 16250, 662, 13118, 3125, 568, 7357, 8659, 538, 1269, 309, 318, 271, 8961, 602, 568, 789, 616, 13956, 757, 1152, 540, 1269, 309, 318, 271, 10608, 3973, 1577, 1269, 309, 318, 273, 259, 2874, 540, 782, 6967, 14622, 4171, 538, 16250, 662, 712, 3125, 568, 7357, 8659, 538, 1269, 309, 318, 271, 315, 24189, 966, 318, 272, 259, 630, 8117, 711, 7357, 538, 1269, 309, 318, 271, 8961, 6382, 621, 1131, 723, 2907, 1044, 5701, 1070, 543, 865, 593, 269, 1284, 1439, 909, 609, 1018, 835, 1522, 1289, 606, 22323, 17883, 540, 519, 14622, 1759, 593, 875, 2484, 789, 616, 689, 519, 2959, 269, 1284, 1439, 909, 609, 1269, 309, 318, 271, 267, 309, 318, 272, 12101, 24126, 267, 309, 17624, 8961, 543, 1287, 649, 666, 1265, 513, 5832, 540, 2450, 737, 266, 272, 676, 4358, 609, 1022, 14584, 538, 1269, 309, 17624, 259, 543, 14335, 23651, 2509, 519, 2707, 269, 1717, 267, 713, 568, 849, 519, 4102, 2009, 2450, 540, 513, 5832, 267, 1317, 1169, 942, 649, 1847, 909, 513, 1377, 538, 519, 5832, 267, 649, 1590, 1847, 689, 1269, 309, 10983, 259, 547, 1269, 309, 19553, 259, 1141, 795, 285, 328, 780, 2005, 779, 2653, 547, 2638, 602, 1142, 1269, 309, 10983, 259, 568, 606, 1884, 747, 664, 267, 543, 3976, 649, 666, 1224, 1055, 15048, 476, 272, 269, 589, 2370, 811, 1416, 267, 543, 4440, 606, 31602, 4661, 568, 2838, 547, 7017, 15048, 476, 273, 780, 2171, 723, 2705, 9863, 1018, 568, 1419, 1572, 519, 12242, 540, 667, 559, 10290, 779, 11532, 267, 12077, 602, 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 ]

[ 910, 476, 272, 15014, 593, 6129, 1421, 2904, 476, 1240, 563, 294, 2784, 13957, 32402, 1115, 454, 294, 2784, 13957, 32402, 1115, 979, 593, 9042, 11728, 693, 12899, 269, 634, 1942, 568, 1269, 1911, 543, 11974, 1058, 581, 1500, 856, 547, 8863, 306, 623, 15598, 269, 9796, 3007, 547, 519, 6640, 14773, 906, 585, 811, 1344, 593, 9042, 7389, 269, 27240, 13957, 32402, 1115, 1590, 581, 12349, 676, 4989, 476, 1704, 628, 269, 901, 568, 513, 18557, 1633, 21120, 543, 972, 786, 581, 12971, 3063, 17914, 2139, 585, 6718, 1310, 602, 4266, 563, 25938, 1640, 11314, 17963, 585, 476, 1001, 274, 270, 1001, 275, 454, 307, 12447, 543, 4210, 574, 4741, 910, 11016, 267, 4989, 476, 1556, 454, 293, 27518, 267, 4989, 476, 1556, 628, 267, 20650, 1058, 12446, 693, 1153, 676, 476, 1015, 281, 1789, 600, 269, 20231, 20650, 945, 723, 6976, 585, 741, 9972, 15143, 543, 5828, 538, 519, 10479, 1106, 786, 4604, 519, 21772, 538, 519, 4395, 540, 1153, 4098, 693, 476, 1015, 281, 3393, 269, 590, 2894, 296, 27633, 631, 19851, 25526, 17395, 454, 15578, 645, 4785, 9215, 6730, 20978, 5990, 12601, 7728, 269, 590, 2894, 296, 27633, 10790, 312, 10691, 19010, 25893, 5990, 5960, 5085, 309, 2464, 9215, 5990, 12601, 7728, 267, 715, 3036, 10790, 312, 5990, 312, 700, 12788, 12717, 661, 2752, 14877, 563, 763, 3095, 585, 4832, 1153, 1344, 568, 4092, 896, 26257, 454, 22033, 593, 519, 2451, 2427, 540, 713, 2985, 269, 8437, 593, 834, 11764, 1067, 3427, 8487, 10267, 518, 8347, 4934, 338, 256, 0, 288, 31494, 693, 1849, 684, 344, 267, 13095, 559, 334, 729, 3957, 705, 15318, 538, 476, 4200, 275, 269, 1261, 13736, 1390, 513, 13831, 885, 267, 543, 4421, 5939, 16782, 547, 3049, 519, 4057, 1282, 513, 26380, 538, 476, 1911, 277, 269, 4438, 1010, 705, 321, 2329, 267, 646, 2799, 15186, 267, 519, 1297, 540, 705, 2041, 903, 8200, 593, 1849, 684, 344, 267, 543, 609, 2806, 15318, 9400, 540, 12142, 13305, 22828, 729, 3743, 585, 519, 10343, 538, 5333, 540, 834, 1492, 1854, 576, 540, 2696, 257, 543, 519, 4341, 10018, 532, 25113, 547, 1346, 5275, 9675, 538, 513, 5939, 269, 1261, 729, 13991, 547, 519, 5549, 28271, 543, 519, 645, 1652, 539, 7910, 269, 1261, 22305, 13894, 2353, 27804, 3149, 262, 4303, 609, 606, 5993, 862, 655, 2610, 540, 519, 8977, 539, 21705, 267, 543, 4810, 3235, 560, 9313, 269, 7629, 519, 2063, 2947, 1296, 540, 1010, 1272, 267, 646, 5747, 1247, 593, 513, 1471, 2787, 540, 1010, 20708, 625, 693, 513, 17028, 800, 693, 27804, 341, 793, 344, 593, 5130, 476, 272, 269, 1261, 1185, 1044, 705, 15318, 585, 811, 982, 15823, 1296, 269, 3571, 21649, 1554, 568, 5130, 476, 272, 563, 2691, 853, 269, 631, 600, 1068, 19434, 729, 2806, 15318, 540, 519, 27694, 799, 853, 269, 4436, 639, 1185, 8547, 693, 589, 5060, 518, 516, 267, 972, 3357, 547, 1864, 513, 1762, 812, 1572, 3057, 857, 534, 630, 10193, 1634, 607, 631, 4115, 1070, 513, 535, 1872, 1438, 689, 25816, 2471, 1287, 13026, 676, 3267, 3136, 2542, 5415, 12142, 540, 519, 4303, 454, 1805, 269, 20710, 1326, 8452, 538, 8581, 513, 1906, 1296, 1310, 853, 269, 18536, 269, 4173, 4651, 729, 606, 9721, 18459, 3957, 13660, 696, 864, 269, 1306, 20710, 1326, 8057, 909, 267, 1352, 2968, 2868, 1512, 543, 811, 533, 1190, 1142, 1554, 269, 2701, 6068, 519, 4057, 543, 1131, 1419, 3142, 1426, 543, 7802, 547, 873, 269, 2290, 1554, 1352, 5795, 2476, 513, 3267, 3136, 2542, 5415, 21058, 29513, 454, 1805, 269, 7812, 519, 5246, 13370, 910, 3171, 770, 1554, 910, 5181, 476, 3066, 628, 634, 2012, 7812, 19752, 834, 8005, 568, 899, 547, 2696, 8119, 543, 729, 519, 2112, 322, 787, 540, 519, 1434, 23109, 538, 519, 6370, 10692, 538, 13140, 1996, 2893, 534, 543, 1010, 13794, 269, 10513, 23075, 6257, 853, 269, 7812, 607, 834, 821, 540, 519, 8783, 3267, 3136, 2542, 454, 763, 2012, 28792, 1797, 834, 2006, 540, 2696, 2437, 610, 834, 18661, 814, 3254, 5128, 22800, 1701, 898, 5526, 1101, 538, 519, 4412, 1127, 625, 540, 12253, 538, 519, 6196, 11620, 269, 634, 21425, 9307, 547, 12253, 519, 28897, 540, 519, 29235, 4374, 269, 3571, 2012, 849, 4386, 538, 519, 3284, 665, 787, 13921, 1433, 540, 7009, 5255, 269, 1261, 729, 519, 3267, 3136, 2542, 454, 257, 13014, 707, 16784, 609, 519, 13265, 282, 25176, 689, 519, 20384, 281, 8977, 711, 689, 519, 5783, 2437, 7261, 22567, 740, 3000, 1639, 524, 622, 577, 636, 839, 11303, 676, 646, 637, 344, 269, 1452, 941, 4412, 4854, 1913, 585, 7261, 22567, 729, 547, 581, 554, 15903, 3267, 3136, 2542, 454, 3528, 4860, 269, 8834, 631, 269, 808, 269, 853, 9545, 1231, 330, 553, 267, 1912, 6185, 1421, 590, 11053, 6185, 563, 1607, 2203, 540, 4168, 812, 17349, 15565, 5128, 547, 721, 711, 585, 1022, 9490, 610, 3078, 1919, 646, 1705, 630, 20357, 646, 2731, 4769, 1405, 264, 855, 585, 519, 3232, 6947, 547, 543, 646, 5338, 519, 5639, 540, 31471, 26663, 2696, 910, 538, 519, 1753, 267, 538, 519, 31263, 4084, 543, 13527, 267, 538, 519, 3267, 3136, 2542, 5415, 4168, 29513, 1299, 32445 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 763, 4229, 9117, 593, 513, 1560, 1039, 607, 10321, 267, 543, 865, 519, 2698, 3196, 593, 513, 1560, 5673, 2390, 1312, 519, 3172, 6421, 543, 519, 8846, 540, 519, 1367, 4229, 269, 1879, 519, 2121, 3196, 593, 513, 1560, 568, 3160, 547, 4642, 267, 1287, 676, 13053, 781, 2034, 1876, 267, 519, 1560, 1281, 711, 17108, 267, 543, 621, 568, 1767, 547, 581, 538, 7344, 11466, 269, 589, 1533, 540, 7344, 11466, 568, 7123, 952, 267, 950, 519, 2990, 540, 519, 1560, 568, 4957, 5594, 267, 519, 1560, 3788, 2282, 602, 11466, 269, 19227, 267, 519, 11466, 568, 18633, 780, 288, 1455, 3308, 6041, 540, 4229, 9117, 538, 13447, 568, 519, 1863, 1560, 6516, 267, 799, 1085, 3012, 1227, 28420, 513, 1560, 540, 1719, 543, 519, 4229, 4294, 547, 621, 676, 3544, 7506, 16804, 1704, 316, 1280, 1383, 267, 513, 1863, 1560, 6516, 540, 513, 3625, 9361, 2390, 606, 20916, 7077, 666, 9414, 519, 4999, 540, 14965, 3196, 267, 834, 7538, 257, 3196, 267, 11508, 267, 543, 5569, 8082, 16804, 16694, 476, 276, 6540, 6124, 2023, 781, 2034, 1876, 568, 3006, 4843, 607, 513, 4214, 540, 3196, 267, 1775, 4318, 1421, 513, 3196, 568, 602, 799, 6818, 950, 606, 16931, 658, 20626, 12034, 513, 1560, 23960, 269, 769, 1931, 585, 713, 547, 581, 811, 982, 513, 512, 2246, 1108, 2443, 10231, 10522, 3196, 267, 3196, 10522, 10231, 2443, 930, 824, 3948, 827, 3196, 1590, 849, 581, 1500, 269, 1280, 1383, 267, 606, 3830, 24223, 519, 3196, 1522, 581, 9138, 267, 899, 13053, 781, 1876, 540, 8471, 28040, 2787, 269, 1635, 29780, 971, 606, 4082, 585, 12276, 6234, 11513, 11355, 2715, 293, 3686, 4151, 883, 13053, 781, 2034, 1876, 267, 606, 3830, 609, 16762, 1379, 666, 581, 2854, 16804, 16694, 476, 277, 316, 13053, 781, 2034, 1876, 814, 849, 1044, 9833, 607, 4259, 856, 513, 1382, 1982, 585, 6323, 267, 9591, 602, 1271, 3853, 540, 519, 1641, 616, 547, 2697, 519, 4229, 1459, 538, 2470, 543, 547, 32562, 519, 23466, 540, 2339, 16804, 16694, 476, 278, 6540, 2162, 12059, 692, 2414, 1169, 2962, 267, 972, 568, 2141, 10353, 606, 3160, 5114, 282, 610, 267, 519, 8994, 3527, 540, 1079, 4703, 2390, 1142, 824, 616, 2141, 3160, 267, 543, 9859, 547, 14669, 2694, 16804, 1724, 13912, 587, 488, 14138, 454, 305, 20449, 960, 676, 6721, 513, 2178, 5114, 3196, 1524, 2072, 1210, 15177, 9817, 269, 901, 24864, 519, 15177, 20733, 267, 1510, 2543, 547, 519, 2666, 610, 519, 5790, 780, 7021, 569, 5618, 22950, 29320, 540, 519, 3791, 1876, 267, 899, 834, 9146, 11224, 5114, 257, 1522, 723, 3361, 10539, 1851, 5481, 540, 1053, 281, 519, 834, 9146, 257, 543, 834, 516, 9146, 257, 4019, 547, 1114, 4703, 269, 1280, 1383, 267, 2015, 513, 1433, 693, 1964, 593, 513, 3349, 269, 634, 3047, 781, 8904, 27605, 1524, 2390, 519, 1433, 269, 634, 834, 516, 9146, 257, 547, 602, 834, 9146, 257, 568, 711, 519, 1489, 3196, 689, 519, 3349, 8066, 909, 519, 1433, 267, 855, 519, 14965, 7485, 540, 519, 1433, 9117, 593, 519, 3047, 16804, 16694, 476, 279, 6540, 6124, 2023, 781, 3791, 1876, 12211, 547, 513, 811, 4909, 6240, 267, 519, 5726, 540, 11610, 269, 634, 8545, 3788, 3020, 1256, 538, 2665, 1141, 13053, 781, 3948, 1281, 711, 267, 585, 3236, 950, 3196, 4610, 607, 1134, 607, 1570, 4703, 4163, 11610, 267, 543, 950, 11610, 568, 3989, 5265, 267, 538, 7061, 11707, 607, 1134, 16804, 16694, 476, 280, 316, 769, 13053, 1014, 11707, 267, 952, 1079, 4703, 723, 4090, 320, 12276, 6234, 11513, 11355, 2715, 335, 3686, 3709, 272, 22288, 543, 12276, 6234, 11513, 11355, 2715, 335, 3686, 3709, 273, 22288, 6606, 267, 1287, 519, 2698, 11610, 540, 519, 6292, 568, 12276, 6234, 11513, 11355, 2715, 335, 3686, 284, 3189, 11355, 2715, 335, 3686, 3709, 272, 15396, 3189, 11355, 2715, 335, 3686, 3709, 273, 3686, 8961, 543, 519, 2557, 540, 1689, 540, 12276, 6234, 11513, 11355, 2715, 335, 3686, 4151, 568, 692, 21851, 6234, 11513, 2765, 2715, 323, 3189, 11355, 2715, 335, 3686, 2410, 19049, 3686, 284, 3189, 2765, 2715, 323, 3189, 11355, 2715, 335, 3686, 3709, 272, 12453, 19049, 3686, 266, 3189, 2765, 2715, 323, 3189, 11355, 2715, 335, 3686, 3709, 273, 12453, 19049, 3686, 269, 21456, 3528, 13053, 781, 2034, 1876, 267, 519, 1101, 2165, 568, 519, 2698, 3196, 2390, 519, 1101, 1560, 267, 543, 519, 2034, 2165, 568, 519, 2698, 3196, 2390, 519, 2034, 1560, 269, 1403, 519, 1079, 4703, 616, 9678, 689, 3544, 7506, 267, 519, 1152, 3196, 2390, 519, 1101, 1560, 666, 581, 602, 689, 519, 2034, 267, 543, 13030, 17930, 269, 1635, 13053, 781, 3791, 1876, 267, 891, 4229, 723, 3160, 9588, 855, 6587, 4287, 267, 865, 789, 22599, 950, 3773, 267, 543, 12276, 6234, 11513, 11355, 2715, 335, 3686, 4151, 568, 3586, 269, 17968, 267, 952, 12276, 6234, 11513, 11355, 2715, 335, 3686, 4151, 568, 1634, 547, 581, 3586, 267, 621, 5205, 602, 519, 4229, 723, 3160, 9588, 543, 6587, 4287, 780, 26452, 2959, 723, 6069, 6173, 908, 824, 2093, 1031, 538, 8106, 11707, 547, 519, 4567, 540, 13053, 781, 4031, 269, 1280, 1383, 267, 538, 13053, 1014, 11707, 267, 519, 2698, 2527, 540, 513, 1560, 1500, 676, 8744, 1927, 1079, 4130, 4703, 568, 519, 2040, 540, 741, 1367, 13999, 269, 7671, 12070, 322, 345, 2131, 814, 6700, 10912, 3007, 547, 713, 13429, 676, 1374, 908, 621, 834, 6124, 2023, 781, 2098, 518, 1054, 4521, 2668, 314, 2918, 316, 6271, 11134, 585, 513, 834, 10045, 1054, 1876, 257, 568, 519, 1249, 602, 693, 1022, 8216, 267, 513, 1560, 23465, 547, 519, 4229, 4294, 547, 621, 693, 602, 8216, 16804, 2767, 316, 19452, 267, 519, 2856, 602, 4229, 1039, 899, 10321, 630, 528, 538, 824, 1913, 23491, 519, 2706, 6570, 6240, 1070, 543, 519, 2856, 602, 4229, 1689, 519, 1648, 540, 513, 1560, 267, 723, 1312, 1044, 4330, 607, 513, 834, 27917, 628, 1876, 2668, 314, 16694, 476, 1015, 6540, 1012, 4518, 543, 1648, 692, 24357, 27913, 2919, 519, 1523, 540, 1648, 1310, 13053, 781, 942, 267, 855, 621, 814, 1831, 606, 538, 29323, 762, 851, 540, 1018, 568, 2808, 834, 6124, 2023, 1014, 257, 6323, 269, 6052, 666, 17618, 581, 9286, 883, 15452, 267, 1813, 547, 513, 1560, 781, 5163, 267, 543, 1761, 267, 1813, 547, 513, 1560, 781, 2990, 3448, 547, 1866, 269, 26365, 1648, 267, 519, 1648, 5645, 676, 3002, 2095, 267, 568, 513, 1826, 540, 15452, 1648, 711, 2404, 609, 519, 12550, 2675, 8084, 5163, 540, 3615, 855, 3079, 609, 519, 5322, 540, 519, 8444, 543, 6675, 540, 799, 789, 616, 1500, 269, 4340, 547, 519, 960, 20589, 11532, 267, 950, 513, 3196, 6411, 2390, 513, 1560, 1247, 602, 1560, 7575, 2059, 519, 1899, 540, 519, 3196, 267, 519, 3196, 1281, 960, 2390, 519, 1560, 267, 543, 519, 2179, 540, 960, 2944, 568, 3160, 547, 519, 1689, 538, 519, 1560, 781, 15452, 1648, 16804, 16694, 476, 1556, 316, 769, 1082, 2665, 540, 1719, 267, 519, 2121, 960, 2944, 676, 513, 3196, 950, 513, 1560, 7575, 538, 513, 6806, 8520, 2443, 4358, 693, 513, 1448, 267, 3001, 2059, 930, 18330, 267, 543, 13059, 547, 519, 3355, 1448, 2443, 568, 4642, 269, 1403, 713, 568, 519, 2013, 267, 1287, 519, 3196, 666, 581, 2854, 538, 2474, 540, 519, 13506, 540, 513, 1599, 1572, 513, 22185, 1761, 281, 314, 4097, 13912, 587, 488, 24062, 692, 21851, 6234, 11513, 11355, 2715, 293, 3686, 15871, 3189, 11355, 11513, 10109, 5055, 31998, 308, 315, 11783, 21456, 1607, 568, 3020, 585, 1082, 4229, 1519, 602, 540, 8904, 267, 855, 711, 585, 11508, 282, 8197, 267, 3592, 1022, 1966, 538, 513, 11707, 1837, 602, 1281, 711, 4125, 11508, 666, 581, 6829, 538, 713, 1259, 16804, 3374, 13912, 587, 488, 866, 587, 488, 634, 1249, 602, 519, 3196, 666, 581, 2854, 538, 713, 1259, 666, 581, 6956, 689, 519, 5726, 540, 1648, 269, 9453, 11508, 547, 26632, 622, 513, 1560, 781, 1648, 883, 3002, 267, 519, 1560, 781, 1648, 786, 4123, 1063, 1761, 543, 630, 12061, 268, 31516, 264, 15452, 3029, 1247, 519, 2698, 2179, 3788, 3586, 269, 7102, 2744, 540, 15452, 1648, 267, 799, 4386, 950, 519, 2121, 3196, 593, 519, 1560, 5787, 919, 621, 547, 513, 2362, 3432, 267, 1590, 581, 10483, 676, 513, 2530, 540, 1761, 1648, 269, 1924, 267, 519, 2121, 3196, 2390, 519, 1560, 568, 5462, 676, 519, 6073, 538, 799, 519, 1761, 1648, 11081, 780, 1012, 6201, 692, 2162, 31538, 569, 18965, 5163, 692, 288, 536, 23395, 3440, 13227, 1117, 693, 476, 1839, 14604, 829, 2034, 1210, 513, 588, 13681, 25646, 8755, 269, 769, 1063, 536, 25555, 267, 519, 3440, 781, 4463, 607, 513, 1599, 540, 942, 568, 2673, 547, 1373, 513, 29236, 267, 1821, 11868, 689, 513, 1612, 20326, 9095, 1317, 540, 2011, 4187, 267, 8095, 267, 543, 22636, 883, 513, 1875, 17898, 17202, 3337, 2390, 1764, 780, 2252, 513, 1560, 8813, 689, 1964, 2282, 519, 2627, 540, 519, 3047, 267, 1287, 538, 519, 9000, 540, 2011, 4187, 267, 621, 786, 17108, 693, 513, 3586, 2557, 269, 901, 568, 1634, 607, 1863, 2887, 269, 634, 3432, 25189, 1282, 1863, 2887, 568, 14354, 547, 519, 1714, 17863, 942, 267, 543, 519, 3845, 14612, 568, 14354, 547, 519, 4009, 540, 519, 1714, 17863, 942, 16804, 3607, 316, 12830, 569, 267, 519, 10231, 568, 519, 1482, 585, 782, 4703, 267, 10446, 540, 741, 2527, 269, 901, 5205, 689, 9256, 13053, 781, 2034, 1876, 540, 5163, 609, 1010, 1876, 540, 8471, 28040, 2787, 269, 634, 8545, 2829, 602, 519, 9588, 540, 519, 14965, 3196, 689, 519, 3047, 2390, 519, 1560, 568, 692, 21851, 6234, 674, 284, 3189, 2765, 2715, 14875, 332, 2410, 337, 3867, 273, 3686, 9574, 21456, 3602, 12276, 6234, 544, 4151, 568, 519, 2527, 540, 519, 9991, 1560, 267, 12276, 6234, 631, 4151, 568, 519, 2527, 540, 519, 3047, 267, 12276, 6234, 717, 4151, 568, 13053, 781, 3586, 267, 543, 12276, 6234, 678, 4151, 568, 519, 3845, 689, 519, 4099, 540, 519, 3047, 547, 519, 1560, 781, 4087, 267, 799, 568, 1360, 5176, 519, 8953, 540, 519, 3047, 269, 17553, 713, 3160, 547, 12276, 6234, 12103, 20954, 519, 1560, 781, 2527, 12276, 6234, 544, 4151, 666, 26118, 689, 1312, 5011, 540, 519, 3830, 267, 6028, 606, 10231, 602, 5673, 2390, 12276, 6234, 717, 20954, 12276, 6234, 631, 20954, 543, 12276, 6234, 678, 20954, 543, 12276, 6234, 678, 4151, 666, 581, 3144, 547, 581, 3586, 269, 901, 1880, 1871, 540, 10231, 568, 3335, 20922, 12276, 6234, 575, 4151, 912, 21851, 6234, 575, 284, 3189, 2765, 2715, 14875, 2410, 337, 3867, 273, 3686, 4153, 13627, 1422, 9507, 2715, 280, 269, 279, 349, 332, 4882, 3867, 273, 3686, 1547, 10592, 2252, 519, 1560, 568, 711, 5950, 689, 1964, 855, 3079, 9250, 20733, 543, 5924, 23276, 609, 1875, 14706, 6991, 267, 1287, 1863, 2887, 3587, 1788, 850, 5163, 16804, 4391, 316, 1879, 2011, 4187, 666, 581, 20495, 267, 1788, 3796, 1246, 29236, 11057, 24551, 267, 1317, 8904, 5540, 519, 1560, 781, 7299, 5163, 543, 711, 922, 8880, 269, 2311, 519, 8445, 540, 519, 1788, 850, 781, 18330, 267, 922, 7299, 6991, 568, 4642, 267, 855, 922, 10231, 568, 12276, 6234, 575, 4151, 1524, 2072, 267, 607, 621, 568, 693, 782, 2053, 269, 17553, 519, 4636, 6152, 3160, 547, 4642, 568, 513, 1455, 10539, 1851, 6323, 1053, 16804, 4343, 6540, 2162, 31538, 9764, 5163, 692, 10521, 3615, 538, 7833, 9764, 5163, 267, 28835, 1472, 519, 536, 776, 22487, 630, 22487, 540, 2527, 540, 1312, 3615, 2020, 2691, 513, 1560, 568, 538, 7833, 9764, 5163, 267, 519, 3196, 593, 621, 2242, 519, 4287, 540, 922, 5163, 855, 711, 922, 3432, 269, 1280, 513, 1560, 3001, 538, 513, 5858, 540, 8953, 12276, 6234, 678, 4151, 693, 513, 3586, 3432, 12276, 6234, 642, 20954, 922, 10231, 814, 513, 9588, 692, 21851, 6234, 513, 284, 3189, 2765, 2715, 341, 3867, 273, 12453, 337, 3686, 21456, 663, 568, 9859, 4724, 519, 4099, 540, 519, 5858, 16804, 16694, 476, 1321, 316, 634, 3196, 2838, 547, 2844, 713, 10231, 267, 1572, 519, 1298, 686, 7065, 531, 3196, 267, 568, 4061, 849, 9859, 4724, 519, 4099, 540, 519, 5858, 543, 814, 9588, 12276, 6234, 544, 341, 3867, 273, 348, 270, 337, 23201, 3509, 25057, 267, 971, 607, 602, 540, 519, 9855, 1472, 519, 3047, 267, 666, 581, 4114, 13846, 676, 7833, 9764, 5163, 269, 769, 971, 2665, 267, 519, 1298, 686, 7065, 531, 3196, 568, 8904, 267, 543, 676, 13053, 781, 1876, 540, 8471, 28040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 707, 9667, 1062, 269, 901, 666, 948, 7794, 707, 24026, 563, 763, 16320, 30662, 1231, 538, 2699, 22648, 949, 4324, 707, 2295, 269, 4144, 1115, 1164, 538, 16320, 30662, 1231, 267, 899, 1346, 1336, 538, 2699, 22648, 267, 616, 5532, 609, 2539, 1973, 2604, 269, 1358, 2461, 849, 5532, 547, 513, 4389, 1981, 540, 9025, 2068, 269, 6145, 782, 22648, 8677, 267, 2699, 22648, 568, 3638, 538, 6171, 595, 267, 6171, 918, 267, 543, 568, 513, 1970, 23343, 12929, 2707, 540, 8192, 20249, 269, 4414, 22648, 568, 849, 1164, 538, 14434, 267, 2523, 16320, 30662, 1231, 269, 1452, 5567, 538, 2699, 22648, 948, 1832, 519, 1560, 2635, 543, 949, 948, 2569, 519, 1981, 540, 1072, 2175, 971, 607, 2860, 267, 21404, 267, 543, 2295, 2068, 563, 16446, 22648, 849, 3568, 824, 8324, 543, 6886, 971, 607, 912, 288, 835, 2275, 1575, 630, 8660, 326, 264, 7674, 540, 6151, 267, 22872, 2699, 22648, 3568, 912, 3682, 12888, 281, 476, 272, 269, 2767, 6121, 454, 293, 520, 281, 476, 271, 269, 272, 6121, 454, 10111, 8510, 6233, 281, 476, 277, 269, 6321, 10101, 454, 293, 756, 516, 281, 476, 272, 269, 9262, 10101, 454, 306, 13610, 281, 476, 274, 269, 6078, 10101, 454, 24791, 918, 281, 476, 4097, 2890, 31810, 610, 476, 2764, 260, 540, 519, 3232, 1871, 454, 24791, 595, 281, 476, 2004, 269, 278, 31501, 610, 476, 6321, 260, 540, 519, 3232, 1871, 454, 293, 25544, 281, 476, 1626, 2890, 31810, 610, 476, 275, 260, 540, 519, 3232, 1871, 454, 16446, 22648, 568, 1164, 538, 1216, 543, 8192, 20249, 267, 799, 666, 948, 596, 1745, 2407, 1510, 10438, 6266, 540, 8477, 269, 1280, 713, 2601, 267, 621, 779, 606, 5140, 1426, 547, 1039, 547, 707, 2732, 952, 596, 2461, 3843, 547, 6336, 2597, 269, 898, 666, 581, 3773, 547, 8286, 899, 25235, 543, 897, 525, 18721, 267, 1031, 607, 513, 2427, 8670, 267, 610, 519, 3490, 12146, 540, 513, 1292, 8670, 563, 1692, 547, 16259, 4414, 16410, 12237, 454, 16446, 22648, 568, 2653, 547, 6451, 883, 707, 2732, 269, 901, 11684, 10448, 666, 581, 3773, 547, 27130, 267, 12403, 338, 267, 25235, 267, 543, 897, 525, 18721, 269, 898, 779, 8949, 6151, 267, 2848, 3139, 267, 1094, 1393, 539, 267, 543, 25496, 269, 898, 25601, 519, 1034, 5567, 950, 621, 779, 13881, 6151, 267, 855, 568, 1869, 3810, 14312, 950, 11273, 269, 634, 30993, 849, 3587, 513, 2370, 811, 1016, 706, 539, 607, 513, 1267, 540, 519, 5986, 1184, 563, 2691, 8939, 513, 2699, 22648, 267, 581, 2386, 547, 4584, 835, 602, 779, 5230, 543, 6109, 269, 634, 9018, 3762, 12582, 1406, 581, 1932, 8697, 267, 543, 519, 7990, 1058, 581, 7524, 610, 6505, 269, 1879, 840, 6137, 707, 2699, 22648, 267, 596, 3580, 2693, 1616, 547, 4894, 519, 1101, 1906, 9018, 3762, 269, 2142, 2386, 547, 11547, 519, 2699, 22648, 8499, 269, 3509, 10346, 786, 723, 596, 1039, 16693, 610, 11945, 524, 3187, 16693, 1282, 519, 5986, 1184, 547, 948, 9376, 538, 519, 13711, 268, 1042, 323, 880, 7990, 563, 2080, 616, 930, 2081, 547, 946, 2699, 22648, 538, 10346, 912, 2419, 641, 909, 6151, 2699, 22648, 543, 1039, 547, 25235, 610, 897, 525, 18721, 454, 299, 4774, 9252, 621, 543, 4196, 607, 606, 2653, 2427, 8670, 454, 11754, 2699, 22648, 547, 513, 15837, 19474, 547, 1039, 3606, 7990, 543, 5567, 454, 17556, 600, 2699, 22648, 543, 1039, 547, 546, 636, 7204, 30836, 454, 24154, 1047, 610, 31652, 2699, 22648, 609, 13212, 543, 14546, 585, 513, 8949, 2427, 8670, 454, 11754, 2699, 22648, 547, 27130, 610, 12403, 338, 454, 305, 334, 770, 621, 609, 28019, 454, 293, 518, 618, 2699, 22648, 547, 1118, 737, 574, 14024, 610, 10487, 17064, 571, 583, 454, 12749, 512, 659, 657, 609, 513, 2699, 22648, 1793, 1177, 0, 15703, 6007, 10198, 2101, 3334, 1590, 581, 1459, 585, 513, 9149, 16927, 517, 6007, 547, 1685, 3927, 563, 20175, 24434, 593, 519, 3619, 454, 305, 3663, 1618, 762, 16864, 23760, 9075, 267, 607, 5892, 1767, 267, 1683, 15409, 5201, 585, 5907, 3457, 269, 769, 1840, 267, 15073, 23760, 23996, 13870, 7412, 568, 17426, 543, 949, 581, 5478, 4130, 982, 824, 9075, 267, 1818, 873, 2653, 547, 3560, 563, 20175, 18242, 2334, 27355, 1406, 3955, 32152, 630, 308, 4916, 994, 30537, 23760, 9075, 1683, 19307, 1379, 538, 513, 1379, 856, 720, 610, 2770, 551, 6672, 269, 1280, 1383, 267, 5604, 3937, 971, 607, 7193, 338, 543, 8668, 13763, 1590, 2611, 10512, 538, 513, 1379, 856, 720, 547, 2057, 1239, 2530, 269, 769, 519, 2564, 610, 3782, 2872, 267, 23996, 13909, 568, 849, 2154, 547, 2327, 513, 11931, 1379, 3761, 547, 1272, 22766, 2564, 3937, 563, 309, 12317, 2873, 602, 2196, 593, 5201, 454, 1103, 519, 18914, 5823, 267, 9149, 23760, 6007, 24502, 616, 538, 1164, 3747, 607, 513, 1379, 2707, 585, 3167, 267, 10316, 267, 543, 11690, 2987, 10316, 3167, 6472, 269, 5221, 789, 666, 4558, 5318, 5666, 540, 1648, 543, 581, 22507, 1896, 2053, 267, 9149, 23760, 9075, 2709, 513, 2362, 12123, 4390, 543, 513, 3476, 14438, 563, 11321, 14144, 13255, 30863, 454, 30537, 23760, 9075, 616, 5051, 1373, 946, 547, 1379, 11668, 610, 512, 1872, 16996, 267, 607, 1134, 607, 16351, 16996, 899, 3432, 16996, 543, 586, 778, 1206, 267, 607, 513, 10682, 585, 17405, 543, 1291, 14092, 573, 9075, 269, 2755, 519, 10935, 610, 586, 25638, 568, 546, 18088, 267, 9149, 23760, 9075, 1683, 513, 9602, 543, 3608, 1379, 2707, 602, 666, 849, 581, 946, 547, 1379, 14233, 593, 4604, 269, 0, 2421, 681, 4821, 2398, 553, 3385, 1923, 476, 4572, 275, 1923, 476, 15150, 267, 8517, 1913, 1923, 9768, 268, 1015, 281, 476, 280, 4343, 9610, 6924, 277, 274, 1923, 9768, 268, 1724, 281, 476, 7818, 280, 4343, 9610, 6924, 277, 272, 454, 763, 18639, 4149, 583, 571, 476, 275, 269, 1691, 267, 2296, 8144, 609, 19410, 2456, 269, 634, 18639, 27659, 6652, 616, 606, 3504, 4015, 540, 16130, 5931, 6580, 689, 476, 4335, 14514, 7231, 609, 18639, 543, 25990, 538, 2185, 2835, 269, 898, 9388, 609, 3584, 971, 607, 6341, 611, 6062, 630, 4364, 5511, 10338, 1070, 19759, 327, 3570, 630, 312, 7541, 2259, 1070, 966, 756, 327, 583, 328, 630, 335, 10183, 610, 590, 1342, 20130, 1070, 18087, 2526, 344, 630, 529, 15684, 264, 543, 631, 758, 3333, 320, 630, 12221, 3130, 1916, 306, 14234, 1257, 267, 1133, 545, 1712, 6037, 28375, 543, 2296, 8144, 540, 590, 19476, 10177, 476, 275, 269, 1691, 912, 2633, 359, 18892, 18028, 352, 14098, 362, 5936, 486, 24691, 23371, 11695, 369, 14098, 355, 11165, 7162, 369, 28637, 11695, 353, 27758, 23371, 23371, 11695, 353, 11695, 369, 28440, 11165, 476, 5936, 354, 476, 5936, 359, 269, 5936, 356, 5936, 359, 476, 5936, 354, 454, 335, 926, 22170, 5953, 2742, 1731, 520, 341, 5953, 323, 5318, 583, 3430, 341, 600, 13466, 476, 275, 269, 1691, 13466, 454, 1691, 269, 634, 4641, 540, 519, 1843, 593, 2272, 540, 519, 9322, 540, 14842, 23102, 14690, 563, 763, 590, 1678, 27256, 1790, 9545, 778, 3570, 16555, 540, 966, 344, 14505, 454, 2691, 782, 616, 2048, 638, 8017, 16224, 875, 568, 621, 602, 835, 14842, 568, 3280, 543, 519, 824, 519, 2631, 286, 2048, 763, 4641, 540, 519, 1843, 593, 2272, 540, 9322, 540, 14842, 10200, 2290, 14842, 540, 519, 7907, 22234, 540, 519, 2470, 540, 26149, 267, 2534, 543, 24880, 267, 543, 1373, 540, 519, 2470, 540, 606, 6293, 267, 5526, 538, 519, 3337, 540, 8219, 269, 901, 568, 519, 2631, 540, 6217, 269, 6271, 14842, 540, 519, 2048, 638, 8017, 685, 5526, 538, 519, 6662, 1533, 607, 519, 5067, 26448, 10700, 11046, 630, 23410, 629, 6767, 16009, 332, 5953, 10177, 1040, 901, 568, 519, 1843, 3280, 563, 763, 11046, 540, 623, 9719, 505, 628, 341, 13682, 568, 513, 14842, 540, 3280, 267, 1299, 322, 1421, 4540, 2059, 609, 519, 13598, 2298, 540, 1106, 630, 332, 19476, 4135, 328, 1040, 898, 568, 513, 6712, 540, 519, 16009, 332, 5953, 10177, 269, 17266, 12381, 540, 891, 8444, 616, 519, 3618, 267, 519, 10800, 267, 519, 3529, 267, 519, 14629, 543, 865, 8521, 269, 769, 519, 2013, 540, 824, 2609, 849, 267, 2921, 909, 519, 13598, 7907, 540, 5347, 1145, 267, 2837, 267, 791, 13955, 543, 2230, 267, 2582, 12381, 616, 547, 581, 6956, 676, 9066, 563, 2467, 568, 1100, 1843, 711, 1071, 7721, 11962, 609, 2093, 269, 1703, 616, 267, 2705, 267, 2093, 267, 799, 616, 711, 1071, 7721, 11962, 609, 3615, 267, 971, 607, 1346, 602, 616, 10178, 857, 539, 538, 9909, 563, 2467, 616, 1004, 945, 2119, 547, 798, 2476, 609, 519, 4641, 540, 3615, 676, 713, 7744, 267, 6031, 602, 3615, 616, 855, 519, 5958, 725, 540, 519, 2247, 267, 899, 519, 10178, 2886, 540, 513, 5326, 267, 543, 602, 789, 616, 4986, 1483, 269, 634, 6662, 1158, 568, 1459, 676, 922, 1378, 1379, 269, 1215, 568, 621, 602, 789, 2285, 909, 519, 6662, 1158, 593, 519, 4222, 540, 19511, 17133, 267, 543, 1256, 1287, 979, 593, 6158, 20060, 1619, 827, 621, 286, 1215, 568, 621, 2009, 547, 723, 5132, 538, 873, 286, 1765, 14690, 563, 763, 3794, 1601, 540, 966, 778, 5684, 10620, 631, 880, 571, 454, 314, 12626, 8144, 540, 519, 476, 280, 628, 2540, 570, 3430, 341, 822, 2967, 23410, 5953, 2784, 13682, 676, 966, 5953, 322, 5684, 520, 574, 328, 23410, 571, 2639, 11039, 972, 949, 646, 4990, 540, 3099, 540, 14842, 540, 519, 1614, 7907, 269, 1809, 875, 568, 513, 2582, 14842, 4547, 827, 538, 519, 3337, 540, 1022, 835, 3693, 267, 2161, 519, 623, 9719, 505, 628, 341, 13682, 610, 519, 7442, 553, 269, 901, 9322, 568, 17591, 539, 676, 922, 2470, 269, 2060, 713, 8969, 519, 2278, 12857, 519, 21428, 528, 1143, 281, 1765, 8072, 763, 4641, 540, 519, 1843, 593, 2272, 540, 519, 9322, 540, 14842, 10200, 589, 2582, 14842, 540, 811, 982, 835, 568, 849, 4767, 269, 2334, 607, 5205, 281, 1765, 763, 10800, 267, 519, 7504, 267, 519, 10889, 14900, 267, 519, 17707, 267, 782, 540, 873, 12189, 883, 513, 2582, 6219, 267, 519, 6070, 267, 950, 789, 616, 16207, 883, 513, 9553, 540, 6070, 269, 654, 1157, 267, 3282, 543, 3595, 1689, 883, 513, 17689, 269, 769, 713, 1259, 267, 4352, 519, 7907, 616, 811, 982, 835, 267, 513, 2582, 14842, 1281, 1491, 1747, 269, 1280, 713, 2601, 267, 519, 18000, 332, 5953, 10177, 267, 519, 2609, 543, 519, 3615, 1500, 540, 519, 2609, 723, 1142, 513, 1483, 9322, 563, 1103, 519, 2013, 540, 15747, 23079, 267, 1373, 607, 789, 616, 519, 2360, 540, 519, 6240, 540, 23141, 267, 543, 22234, 607, 789, 616, 540, 519, 2470, 540, 26149, 593, 2272, 540, 519, 3341, 16093, 766, 540, 519, 2298, 540, 1898, 640, 630, 338, 3430, 9366, 1070, 519, 14842, 568, 513, 2582, 835, 538, 519, 3337, 540, 606, 1418, 267, 971, 607, 519, 1418, 540, 6217, 269, 2986, 519, 1482, 7907, 267, 1776, 2582, 14842, 538, 519, 3337, 540, 18000, 332, 5953, 10177, 568, 3280, 267, 519, 1843, 267, 950, 789, 2408, 607, 6662, 9259, 267, 538, 519, 3337, 540, 1875, 10784, 3485, 550, 23079, 609, 519, 2298, 540, 23111, 553, 3341, 16093, 908, 563, 306, 895, 267, 519, 1843, 281, 1765, 306, 895, 5869, 1797, 519, 5067, 26448, 824, 630, 11927, 332, 5953, 10177, 1040, 634, 2262, 2048, 15953, 685, 630, 12858, 23973, 11535, 264, 19752, 1875, 10784, 3485, 775, 267, 1317, 519, 16009, 332, 5953, 10177, 3112, 7654, 1831, 519, 1843, 540, 14815, 269, 634, 1964, 568, 2653, 563, 3086, 6770, 538, 519, 966, 2967, 23410, 324, 23973, 11986, 609, 1010, 4998, 2065, 3069, 1703, 568, 1100, 1843, 799, 568, 711, 1071, 7721, 11962, 609, 606, 2856, 19028, 2252, 519, 2609, 543, 2168, 3615, 581, 1945, 1114, 689, 6071, 1361, 566, 267, 1287, 621, 949, 581, 602, 971, 513, 16217, 330, 761, 328, 581, 2322, 909, 607, 519, 2014, 540, 741, 2504, 269, 1358, 616, 711, 267, 2705, 267, 1114, 689, 2093, 538, 4641, 269, 1215, 568, 621, 1287, 602, 519, 623, 2784, 327, 5953, 3534, 568, 2322, 909, 607, 513, 2014, 286, 1215, 568, 621, 1586, 602, 519, 15747, 23079, 616, 10178, 857, 539, 547, 2291, 607, 519, 12381, 540, 519, 6240, 540, 23141, 286, 4935, 7487, 602, 513, 1875, 10784, 3485, 550, 1843, 568, 711, 1582, 268, 650, 6058, 894, 267, 621, 1281, 711, 2291, 8259, 621, 1071, 7721, 626, 609, 519, 2856, 269, 3213, 7721, 14571, 1797, 6935, 269, 634 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 693, 332, 630, 6200, 269, 23283, 737, 25508, 1040, 4595, 476, 2735, 273, 267, 5254, 303, 568, 3989, 607, 513, 2837, 540, 476, 24129, 269, 1428, 918, 630, 271, 11019, 290, 267, 476, 3953, 11019, 293, 264, 543, 606, 6207, 2604, 540, 4010, 476, 10755, 14529, 630, 1911, 737, 25508, 267, 476, 272, 3046, 6393, 1012, 4208, 798, 649, 946, 6207, 2604, 2496, 27028, 5193, 2604, 12238, 2471, 616, 3335, 1031, 538, 1382, 543, 3621, 20682, 1141, 11385, 908, 11626, 2604, 666, 1831, 606, 3390, 543, 538, 7098, 517, 2246, 923, 1141, 5730, 7403, 616, 2565, 547, 3313, 15820, 780, 1012, 1548, 568, 519, 3017, 1063, 575, 720, 543, 6207, 2604, 2496, 27028, 5193, 2604, 568, 6027, 538, 6935, 547, 519, 12511, 267, 1247, 15378, 2604, 568, 519, 3017, 1063, 519, 6207, 2604, 543, 519, 11626, 2604, 269, 476, 273, 269, 18104, 2604, 3096, 6207, 4642, 607, 621, 779, 4642, 1448, 267, 1247, 15378, 2604, 3096, 11626, 2604, 607, 621, 779, 4642, 1448, 780, 1012, 1548, 568, 6207, 2604, 7151, 2496, 27028, 5193, 2604, 568, 6027, 3448, 547, 6207, 4642, 593, 519, 2604, 4336, 267, 799, 568, 513, 3501, 12511, 269, 630, 27028, 5193, 2604, 666, 2760, 581, 2942, 4700, 7151, 281, 589, 1286, 12483, 15378, 3800, 513, 12483, 2604, 540, 476, 3953, 269, 271, 533, 19561, 269, 634, 2199, 11626, 2604, 568, 476, 1691, 269, 273, 533, 19561, 780, 16744, 1356, 710, 692, 1012, 1548, 568, 6207, 15378, 12511, 1299, 27321, 16242, 2496, 27028, 5193, 267, 717, 720, 267, 28820, 10840, 267, 543, 27321, 4964, 999, 269, 16797, 269, 6207, 2604, 1107, 634, 4890, 2604, 693, 513, 2016, 2990, 568, 1572, 519, 6207, 2604, 267, 543, 621, 568, 6027, 3448, 547, 6207, 12511, 630, 328, 4318, 1421, 6207, 4642, 2604, 1040, 575, 720, 2604, 1107, 717, 720, 2604, 568, 519, 2604, 3448, 547, 519, 11626, 2604, 780, 1012, 1548, 568, 12511, 543, 2604, 2496, 309, 659, 10840, 2604, 568, 519, 3017, 1063, 519, 11626, 2604, 543, 519, 6207, 2604, 269, 1879, 519, 20830, 616, 2407, 543, 3976, 693, 11626, 2604, 267, 519, 19271, 1131, 1448, 547, 476, 3066, 16357, 269, 1924, 713, 15378, 4564, 519, 6207, 2604, 780, 1012, 7316, 1281, 8652, 18878, 2604, 2097, 689, 2496, 22134, 15543, 1738, 2604, 568, 519, 2604, 602, 568, 25116, 676, 513, 5714, 693, 11466, 693, 513, 2016, 1448, 1369, 519, 5714, 267, 1813, 547, 519, 3196, 540, 8904, 269, 10281, 15543, 1738, 2604, 4679, 538, 8167, 547, 3178, 6027, 689, 519, 2627, 1317, 540, 519, 2810, 2597, 540, 5714, 11851, 532, 18746, 3196, 689, 1657, 780, 1012, 1772, 27493, 295, 294, 6207, 610, 15378, 2496, 3080, 1505, 568, 607, 968, 32074, 15378, 12462, 32074, 309, 1070, 1141, 519, 4336, 6238, 693, 476, 271, 16357, 29666, 630, 520, 4380, 8879, 2604, 264, 543, 4422, 909, 547, 476, 3066, 269, 10844, 892, 29666, 267, 799, 568, 3501, 12511, 269, 634, 824, 1259, 568, 547, 2268, 538, 968, 32074, 6207, 12462, 32074, 288, 1070, 799, 568, 513, 15378, 609, 513, 20328, 4336, 780, 1012, 1548, 568, 11626, 2604, 693, 4262, 1377, 2496, 24092, 4262, 7400, 2604, 267, 676, 4214, 267, 11224, 476, 31318, 6515, 630, 3066, 269, 10844, 6279, 264, 540, 16035, 267, 476, 1691, 269, 3583, 6550, 829, 4009, 10759, 267, 476, 272, 267, 25320, 269, 1839, 6398, 476, 9818, 546, 29498, 829, 4009, 1298, 22015, 516, 267, 476, 272, 267, 25320, 269, 1839, 1984, 756, 1513, 267, 835, 3044, 5790, 267, 610, 476, 6200, 269, 23283, 4893, 641, 2444, 1023, 780, 1012, 1548, 568, 737, 25508, 6207, 2496, 2690, 9362, 267, 2604, 568, 3006, 6027, 711, 607, 606, 6207, 2604, 267, 855, 3448, 547, 11626, 2604, 282, 971, 7403, 616, 1572, 15378, 2604, 269, 4595, 11626, 2604, 693, 4262, 1377, 568, 827, 476, 1911, 737, 25508, 630, 1691, 269, 278, 533, 19561, 1070, 519, 6207, 2604, 538, 519, 12483, 568, 4061, 827, 476, 17168, 737, 25508, 630, 5379, 533, 19561, 6393, 1012, 4208, 798, 649, 946, 12238, 2471, 2496, 294, 879, 2471, 616, 1031, 585, 7893, 9588, 610, 2179, 267, 971, 607, 519, 11098, 540, 5911, 267, 519, 7516, 540, 513, 2577, 1441, 851, 267, 519, 2179, 540, 5277, 538, 513, 8708, 267, 9252, 2604, 267, 4390, 3092, 269, 589, 1906, 2010, 540, 12238, 2471, 616, 2011, 2604, 12238, 2471, 267, 3282, 2604, 15378, 543, 11186, 2604, 12238, 2471, 780, 1012, 1215, 1281, 513, 2604, 15378, 960, 2496, 289, 712, 18484, 13740, 1599, 676, 2921, 519, 2604, 543, 14291, 621, 883, 7344, 1648, 269, 901, 1648, 7575, 513, 3866, 538, 519, 15378, 267, 18071, 519, 1699, 2179, 540, 2604, 538, 519, 1062, 269, 1306, 2604, 4679, 3330, 519, 8546, 267, 519, 3196, 540, 519, 5714, 8942, 547, 2786, 523, 856, 519, 17208, 8546, 780, 1012, 1548, 568, 519, 3017, 1063, 12511, 15378, 543, 2604, 15378, 2496, 17829, 7893, 2942, 2604, 630, 10964, 578, 11626, 264, 616, 2356, 17941, 12511, 15378, 269, 1452, 2326, 1376, 693, 4642, 543, 979, 909, 547, 910, 31318, 6515, 29666, 269, 16242, 15378, 3800, 2604, 540, 513, 5277, 610, 3154, 269, 27321, 2604, 568, 2356, 3144, 607, 4704, 585, 1034, 6482, 780, 1012, 1548, 616, 519, 2010, 540, 2604, 2496, 763, 1114, 2010, 540, 2604, 616, 21630, 1152, 676, 519, 4704, 2604, 269, 18104, 2604, 269, 634, 1579, 11732, 4704, 2604, 568, 519, 2604, 4642, 267, 799, 6818, 538, 519, 2011, 6954, 2230, 540, 519, 7122, 269, 27321, 2604, 269, 27018, 2604, 269, 3683, 12304, 675, 630, 326, 879, 613, 2604, 264, 13555, 721, 269, 0, 258, 4208, 616, 25828, 2338, 1271, 2496, 1012, 4208, 616, 25828, 2338, 1271, 2496, 763, 25828, 5311, 568, 1713, 1317, 540, 519, 865, 10777, 11344, 5223, 540, 476, 272, 269, 277, 1240, 267, 610, 922, 11201, 476, 271, 269, 277, 1240, 269, 769, 519, 25828, 5311, 267, 1022, 2016, 1297, 568, 5111, 476, 272, 269, 277, 1240, 2053, 519, 18631, 1297, 267, 24937, 519, 1101, 1906, 2338, 780, 1012, 1215, 616, 25828, 2338, 1031, 538, 1483, 1272, 2496, 2005, 5526, 538, 6211, 5468, 971, 607, 4839, 4221, 538, 4054, 267, 943, 22690, 582, 9471, 630, 1492, 11460, 540, 3762, 593, 513, 6565, 1070, 519, 4829, 28667, 540, 513, 12566, 20625, 267, 519, 15496, 540, 606, 1148, 747, 5803, 267, 606, 796, 2017, 1782, 535, 1716, 543, 519, 11460, 540, 513, 12566, 13409, 779, 536, 847, 338, 3092, 269, 2311, 1459, 25828, 2338, 4249, 1360, 1271, 1909, 538, 8193, 3069, 780, 1432, 616, 519, 3156, 540, 25828, 2338, 2496, 21104, 725, 540, 25828, 2338, 1331, 2780, 6620, 971, 607, 519, 25828, 3406, 4480, 543, 519, 25828, 24050, 1239, 2497, 267, 543, 11708, 1572, 25828, 18695, 1031, 585, 32144, 532, 6252, 543, 7856, 1949, 780, 1432, 568, 519, 476, 1626, 25828, 1297, 2496, 763, 5223, 540, 20422, 25828, 2338, 4780, 2471, 593, 943, 328, 692, 306, 3225, 775, 538, 519, 5311, 28088, 532, 25828, 1297, 630, 1492, 2040, 540, 519, 1079, 2338, 1354, 621, 264, 22472, 540, 1142, 1297, 547, 519, 835, 1354, 621, 630, 10472, 9193, 943, 328, 994, 1626, 476, 7176, 278, 476, 272, 269, 277, 1240, 271, 3953, 4281, 277, 279, 5952, 26727, 454, 1704, 476, 272, 267, 6795, 278, 476, 272, 269, 277, 1240, 271, 4097, 4510, 278, 279, 2641, 6924, 273, 454, 1240, 476, 273, 267, 6812, 275, 476, 272, 269, 277, 1240, 30033, 279, 1724, 6110, 10219, 454, 866, 476, 275, 267, 8687, 476, 272, 269, 277, 1240, 271, 4097, 271, 4649, 278, 2767, 4649, 275, 692, 2162, 4208, 568, 13642, 22472, 1271, 2496, 6860, 269, 16103, 281, 13642, 22472, 630, 528, 14329, 540, 774, 8674, 264, 634, 5888, 568, 1271, 585, 1022, 3239, 267, 2436, 621, 779, 547, 6655, 1271, 1344, 610, 547, 1711, 606, 8353, 24312, 24886, 8523, 269, 634, 13642, 22472, 666, 948, 1711, 513, 5888, 602, 786, 2721, 519, 4064, 547, 519, 1271, 2609, 540, 519, 8666, 780, 2162, 1215, 798, 596, 5173, 25828, 2338, 2496, 763, 1883, 25828, 5223, 267, 476, 8618, 269, 279, 2600, 267, 568, 1336, 676, 12270, 835, 1297, 538, 519, 3126, 676, 519, 1297, 602, 5205, 621, 269, 1280, 1383, 281, 476, 4649, 1315, 476, 8660, 815, 476, 271, 269, 277, 1704, 280, 269, 634, 476, 4343, 269, 273, 2600, 5223, 17337, 835, 1297, 538, 519, 3126, 676, 519, 1297, 1079, 4025, 547, 519, 1318, 269, 1280, 1383, 281, 476, 4649, 1315, 476, 13893, 815, 476, 271, 269, 4343, 272, 280, 780, 1432, 616, 930, 1806, 540, 519, 25828, 2338, 2496, 2419, 1157, 523, 17378, 692, 1892, 4936, 525, 4302, 7935, 19233, 454, 1892, 1325, 4141, 7233, 454, 1892, 11370, 6511, 25109, 1092, 3212, 3899, 454, 1892, 6129, 17810, 454, 1892, 9412, 30751, 454, 1892, 25882, 322, 821, 454, 1892, 23202, 615, 932, 877, 548, 517, 454, 1892, 1977, 27951, 7085, 21317, 324, 454, 1892, 3933, 1105, 595, 831, 18339, 541, 454, 1892, 1548, 616, 519, 1101, 19939, 25828, 2338, 2496, 763, 2040, 540, 519, 1101, 476, 1428, 25828, 2338, 568, 476, 14689, 277, 269, 898, 568, 7074, 602, 519, 1101, 476, 1428, 25828, 2338, 616, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 267, 476, 4649, 267, 476, 8660, 267, 476, 13893, 267, 476, 22001, 267, 476, 4391, 278, 267, 543, 476, 29637, 780, 2971, 1215, 616, 519, 25828, 2338, 3989, 2496, 293, 756, 20906, 1297, 269, 9502, 281, 589, 4759, 540, 519, 5311, 540, 2338, 971, 602, 1142, 1297, 568, 519, 2040, 540, 519, 18631, 1079, 269, 634, 1101, 5722, 2338, 616, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 543, 476, 1724, 269, 0, 24248, 476, 272, 281, 29149, 10803, 1299, 8641, 673, 2598, 680, 904, 594, 692, 15477, 297, 4488, 30888, 2464, 281, 6892, 901, 2978, 568, 2966, 547, 6338, 596, 547, 3687, 527, 629, 543, 1397, 596, 875, 547, 5173, 2596, 10855, 7194, 1299, 5352, 930, 8579, 13602, 780, 14888, 3918, 290, 16739, 281, 6892, 7427, 519, 5528, 2630, 267, 16460, 782, 2055, 269, 2659, 4267, 1058, 581, 538, 519, 1106, 540, 513, 5618, 1867, 630, 17504, 1070, 547, 581, 19942, 538, 547, 519, 14357, 1354, 596, 4734, 563, 21228, 21228, 21228, 3071, 1029, 454, 21228, 21228, 21228, 3071, 1029, 692, 272, 24355, 10574, 13517, 1384, 1103, 476, 9692, 279, 267, 670, 269, 28533, 754, 880, 1305, 856, 547, 3313, 519, 5860, 540, 519, 3618, 3448, 547, 602, 540, 1216, 267, 1210, 513, 512, 832, 542, 3666, 269, 1261, 5342, 476, 3066, 1360, 5730, 6901, 12570, 713, 3448, 5860, 269, 589, 2324, 13429, 547, 2253, 609, 568, 602, 519, 2418, 540, 1010, 7403, 941, 3144, 689, 513, 3339, 3892, 10704, 1472, 519, 3020, 3448, 5860, 269, 634, 1239, 689, 782, 476, 3066, 6901, 616, 2016, 2630, 630, 5228, 853, 580, 2401, 267, 590, 1421, 834, 2710, 7605, 755, 6480, 574, 2209, 4518, 609, 7464, 4578, 286, 2580, 7788, 1023, 540, 10803, 267, 476, 276, 267, 476, 3192, 278, 6393, 276, 269, 2004, 476, 276, 269, 4649, 476, 276, 269, 6872, 476, 276, 269, 5655, 476, 276, 269, 1789, 476, 276, 269, 4097, 692, 276, 269, 8618, 476, 276, 269, 3607, 476, 276, 269, 7871, 476, 276, 269, 8064, 476, 276, 269, 5325, 476, 276, 269, 4037, 692, 275, 269, 6434, 476, 276, 269, 3066, 476, 276, 269, 7830, 476, 276, 269, 1015, 476, 276, 269, 8287, 476, 276, 269, 6924, 692, 276, 269, 5881, 476, 276, 269, 6812, 476, 276, 269, 3066, 476, 276, 269, 2767, 476, 276, 269, 4097, 476, 276, 269, 5952, 692, 276, 269, 2918, 476, 276, 269, 4792, 476, 276, 269, 4510, 476, 276, 269, 4375, 476, 276, 269, 5379, 692, 320, 4700, 6892, 9373, 519, 1657, 1239, 538, 6241, 835, 1299, 2012, 621, 11404, 309, 21715, 780, 321, 4700, 6892, 20472, 513, 4216, 7120, 540, 519, 1239, 780, 322, 4700, 6892, 20472, 513, 27008, 609, 513, 5078, 10822, 12296, 780, 323, 4700, 6892, 9122, 593, 519, 1079, 13602, 1657, 267, 1281, 519, 1239, 3100, 21136, 1109, 610, 7729, 14954, 286, 1109, 4746, 2073, 6085, 593, 519, 1110, 1275, 563, 6701, 972, 856, 4802, 619, 538, 519, 1239, 2496, 324, 4700, 6892, 717, 1132, 560, 1493, 519, 3732, 1611, 1299, 3044, 11539, 689, 519, 27008, 780, 325, 4700, 6892, 12433, 1299, 2594, 519, 2596, 5758, 7194, 267, 971, 607, 519, 1611, 267, 3044, 11539, 267, 14415, 3796, 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 ]

[ 3086, 602, 596, 723, 513, 1915, 1523, 543, 28076, 267, 621, 781, 942, 547, 7390, 513, 700, 2752, 303, 2680, 780, 265, 2878, 299, 20814, 15638, 4995, 9612, 2228, 1210, 3406, 9817, 899, 5616, 585, 700, 2752, 303, 2516, 267, 15473, 267, 610, 7270, 16475, 14232, 2621, 2282, 596, 563, 265, 2878, 8802, 626, 1674, 4995, 7427, 14261, 5528, 3177, 676, 519, 2680, 25696, 267, 799, 949, 4125, 11423, 856, 3029, 267, 9878, 12375, 267, 610, 2870, 6589, 593, 1808, 5867, 563, 265, 2878, 9558, 1636, 566, 4995, 28081, 6283, 547, 519, 2680, 4087, 1210, 6472, 267, 1857, 3560, 267, 6972, 267, 610, 15203, 267, 4470, 593, 3845, 543, 10333, 780, 26796, 12625, 1384, 265, 2878, 303, 1046, 532, 4995, 4855, 11280, 18736, 2127, 543, 1246, 4191, 10834, 2139, 5624, 563, 265, 2878, 294, 516, 7566, 5029, 9088, 4995, 13979, 2680, 5234, 9849, 7114, 3983, 2471, 610, 26977, 543, 6338, 3054, 1210, 11913, 2792, 630, 14588, 1136, 1040, 2142, 5423, 547, 1683, 8446, 543, 6169, 540, 8569, 952, 2838, 563, 265, 2878, 2419, 4474, 883, 8779, 2541, 4995, 700, 11229, 11280, 4657, 2127, 543, 1689, 883, 707, 28076, 267, 4180, 1697, 9882, 2853, 25656, 630, 31290, 3946, 267, 3092, 4700, 780, 1262, 3721, 476, 274, 281, 8056, 619, 532, 23126, 538, 519, 10794, 2622, 4373, 5629, 21039, 543, 10805, 267, 23365, 3054, 538, 519, 3014, 1604, 780, 265, 2878, 30787, 21940, 2456, 4995, 4004, 6510, 1022, 2123, 6302, 610, 7687, 547, 8284, 5716, 543, 25696, 267, 971, 607, 2168, 9124, 610, 4313, 10851, 3823, 5905, 610, 1909, 25178, 532, 7653, 563, 265, 2878, 8139, 769, 8566, 877, 23317, 4995, 25800, 3054, 609, 3014, 3652, 267, 11707, 267, 543, 5468, 6045, 676, 25696, 610, 2854, 12319, 563, 265, 2878, 305, 1961, 268, 5522, 11691, 29568, 4995, 18918, 609, 824, 5716, 1210, 11913, 2792, 267, 1560, 1893, 267, 543, 17267, 547, 6655, 4664, 267, 15752, 267, 543, 3527, 780, 5278, 1898, 1480, 5872, 4388, 1384, 265, 2878, 31010, 16685, 13555, 4995, 1879, 6340, 547, 1866, 267, 1413, 693, 873, 2047, 855, 2057, 31325, 26490, 1947, 282, 3079, 267, 946, 17573, 9397, 547, 16145, 2476, 543, 556, 10140, 28344, 3750, 3346, 563, 265, 2878, 30874, 23016, 4995, 9796, 3007, 547, 10529, 267, 12162, 3429, 12212, 267, 543, 2307, 5587, 4328, 2055, 950, 2877, 563, 265, 2878, 4910, 1051, 9608, 6611, 4995, 5901, 3617, 9883, 1063, 3054, 543, 1866, 267, 18245, 1367, 18616, 540, 4313, 780, 1262, 3721, 476, 275, 281, 12160, 908, 538, 31950, 926, 657, 543, 10395, 520, 4373, 2026, 596, 4497, 609, 519, 3014, 1158, 267, 7119, 538, 9709, 7653, 543, 1761, 8396, 13341, 780, 265, 2878, 8266, 2287, 547, 15794, 1023, 4995, 744, 21161, 5528, 689, 22153, 1023, 630, 18524, 15645, 2209, 264, 3823, 9183, 6859, 267, 3106, 4808, 267, 543, 4655, 6571, 5773, 563, 265, 2878, 23382, 520, 18264, 22761, 4995, 4438, 8396, 10207, 267, 2226, 1852, 936, 707, 5322, 267, 9319, 23139, 16125, 610, 7063, 547, 1866, 563, 265, 2878, 14294, 2718, 2271, 550, 687, 4995, 22682, 5968, 707, 1915, 781, 3527, 543, 15752, 1210, 13047, 3074, 267, 1688, 6786, 267, 610, 3308, 10291, 547, 2327, 1620, 1851, 5171, 780, 21206, 28972, 23106, 1384, 265, 2878, 25721, 860, 1944, 4995, 18124, 1121, 16017, 8231, 958, 9497, 28989, 8442, 543, 2709, 6351, 952, 10913, 2049, 267, 11744, 6568, 2509, 4299, 6105, 563, 265, 2878, 4537, 2130, 8249, 4995, 20644, 948, 610, 2671, 2200, 609, 8284, 5716, 267, 5807, 18756, 29863, 2833, 780, 1262, 3721, 476, 276, 281, 5403, 7232, 1203, 654, 1905, 268, 10000, 4373, 5475, 519, 2680, 20147, 1384, 265, 2878, 5719, 321, 4361, 532, 4995, 29934, 2022, 3887, 1203, 5717, 3366, 676, 25696, 610, 10283, 538, 1895, 3181, 4361, 338, 547, 1865, 2833, 267, 2232, 4145, 267, 543, 5385, 5955, 563, 265, 2878, 7230, 8221, 5269, 1575, 14727, 739, 2541, 4995, 28392, 4894, 17539, 267, 14382, 12060, 267, 543, 24853, 267, 1739, 1697, 8851, 2553, 547, 2061, 3441, 610, 2960, 16698, 563, 265, 2878, 12892, 1944, 4995, 631, 17532, 609, 8284, 28752, 267, 4687, 2984, 267, 6337, 267, 610, 7234, 2104, 2621, 1247, 4509, 16614, 6643, 3584, 543, 3159, 780, 29806, 9669, 1384, 265, 2878, 22134, 1674, 4995, 27276, 1216, 5781, 2429, 519, 1554, 547, 3251, 19872, 543, 10069, 1242, 563, 265, 2878, 306, 12584, 10547, 270, 2171, 1430, 10466, 4995, 15233, 24429, 267, 5957, 8825, 10591, 630, 1002, 338, 267, 23475, 28904, 1070, 543, 1491, 12062, 1282, 3665, 4365, 2175, 563, 265, 2878, 20236, 4211, 732, 4995, 26875, 1125, 2790, 543, 3929, 1134, 5630, 676, 2921, 2834, 9397, 267, 4189, 14312, 1426, 267, 543, 2502, 538, 2566, 3146, 706, 1424, 2238, 780, 23558, 256, 1411, 1631, 4865, 513, 3102, 5748, 585, 10024, 519, 1158, 540, 700, 2752, 303, 532, 269, 5457, 547, 2141, 4225, 2463, 267, 9316, 267, 543, 1930, 2792, 1851, 8284, 5716, 543, 2680, 25696, 269, 8414, 1391, 532, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 299, 2752, 303, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 7201, 519, 16657, 540, 519, 8265, 7547, 267, 17555, 7895, 4705, 1200, 17919, 1524, 519, 28448, 13556, 11332, 26738, 267, 22805, 1063, 15185, 588, 13764, 2059, 519, 30766, 1596, 523, 1228, 269, 2701, 14952, 539, 693, 875, 1454, 1185, 4957, 2094, 1352, 1101, 6410, 547, 3057, 756, 528, 910, 519, 2749, 729, 3592, 11389, 322, 1758, 14184, 1631, 780, 2304, 3534, 19526, 1200, 11332, 2282, 519, 4975, 8065, 543, 9411, 519, 14297, 2679, 269, 1306, 1352, 6172, 5523, 519, 24383, 547, 519, 12020, 4972, 267, 1352, 7948, 1405, 948, 855, 2992, 593, 1200, 1909, 538, 13321, 713, 6215, 8576, 1014, 17576, 883, 513, 10093, 585, 10357, 7888, 3560, 269, 898, 22821, 1405, 1044, 2653, 20310, 1200, 9164, 282, 1082, 941, 26617, 827, 19249, 519, 2757, 5989, 269, 1809, 1310, 3275, 540, 13730, 7521, 267, 789, 6368, 8815, 547, 2936, 1200, 18747, 780, 9515, 5679, 18088, 28663, 593, 519, 7450, 13042, 1412, 23175, 540, 12124, 12020, 10086, 8118, 621, 267, 543, 30870, 8751, 1794, 267, 1200, 1279, 5503, 21927, 543, 3659, 269, 3571, 5604, 1159, 8215, 25861, 569, 540, 2025, 2835, 543, 2178, 6995, 269, 589, 1804, 4786, 540, 3057, 756, 528, 4988, 835, 3774, 267, 1490, 21148, 609, 10477, 6698, 8204, 1585, 6069, 3039, 7341, 780, 25402, 1794, 9694, 3293, 2509, 513, 11381, 269, 834, 25105, 267, 17555, 267, 596, 2811, 1318, 593, 942, 1701, 1261, 6594, 1200, 32348, 269, 834, 2791, 917, 267, 950, 596, 1101, 14059, 803, 609, 707, 2093, 267, 594, 2219, 596, 941, 14834, 269, 2961, 1324, 856, 2230, 585, 7814, 1235, 543, 19516, 20379, 1247, 5355, 2527, 18302, 12482, 3891, 17328, 4310, 267, 2220, 26325, 1010, 6995, 1354, 2921, 1776, 521, 760, 269, 834, 3719, 1287, 594, 7691, 1945, 1765, 20365, 8990, 18056, 803, 540, 8885, 950, 594, 729, 7820, 269, 1411, 1500, 803, 1294, 1018, 938, 4190, 2749, 1223, 1831, 952, 1152, 649, 546, 1563, 547, 4952, 543, 957, 8335, 3010, 2304, 3534, 20493, 27145, 269, 834, 14188, 596, 267, 8751, 1794, 269, 2334, 1797, 513, 2603, 4947, 689, 596, 269, 1284, 1869, 3068, 2591, 1498, 267, 2523, 609, 7616, 891, 3785, 543, 20408, 4187, 689, 1978, 2516, 3010, 25402, 1794, 21330, 32444, 569, 269, 834, 29012, 267, 1169, 3375, 2501, 609, 4539, 269, 12846, 2437, 646, 1767, 267, 26378, 519, 4786, 267, 834, 19972, 693, 782, 649, 4312, 12913, 1927, 2907, 269, 1656, 1589, 827, 2104, 5481, 945, 786, 27836, 713, 9371, 269, 1635, 6220, 4264, 6283, 267, 649, 2327, 15777, 2011, 267, 8902, 4961, 267, 543, 1447, 16126, 593, 8093, 10173, 3010, 21615, 1245, 2989, 267, 17555, 3838, 1200, 5767, 2856, 910, 3167, 1286, 4687, 10473, 16559, 2429, 519, 2749, 4099, 269, 1677, 1200, 10508, 267, 8751, 1794, 17947, 519, 1523, 2898, 27329, 569, 269, 4256, 6643, 2095, 539, 24672, 267, 23185, 676, 3838, 15131, 543, 8994, 2463, 269, 8625, 267, 789, 8032, 3057, 756, 528, 781, 22038, 267, 18595, 1456, 22649, 540, 3356, 609, 27527, 585, 1686, 780, 11073, 2515, 267, 519, 4259, 3141, 5641, 28608, 20224, 2066, 519, 9687, 2749, 2675, 1901, 269, 10738, 1346, 5546, 2482, 2984, 2150, 1245, 910, 8941, 540, 14488, 5828, 17636, 267, 524, 2106, 6291, 8719, 676, 4126, 267, 543, 31278, 1689, 26354, 11972, 1764, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 2994, 814, 3057, 756, 528, 6964, 547, 6451, 4264, 6283, 3681, 267, 971, 607, 11332, 28961, 610, 1857, 18302, 267, 883, 922, 4683, 4058, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 909, 3562, 15082, 1344, 593, 3057, 756, 528, 781, 6283, 4058, 2994, 269, 1717, 267, 594, 666, 1683, 930, 1806, 540, 4264, 6283, 3681, 602, 4872, 543, 2950, 3006, 6451, 883, 741, 4683, 4058, 1384, 272, 269, 8490, 11332, 28961, 281, 3057, 756, 528, 267, 899, 824, 4872, 267, 666, 1544, 543, 1628, 6131, 11332, 28961, 593, 9897, 543, 10754, 269, 645, 833, 28961, 666, 5000, 31610, 607, 513, 14323, 4244, 547, 6117, 267, 799, 666, 2569, 3327, 5434, 543, 2087, 2011, 2298, 269, 1358, 666, 849, 2087, 3106, 585, 11332, 26348, 543, 6175, 519, 10171, 540, 10913, 609, 6517, 780, 273, 269, 5890, 21505, 1857, 18302, 281, 3057, 756, 528, 666, 4228, 922, 1857, 18302, 1062, 267, 676, 4946, 1007, 610, 811, 7928, 1668, 11507, 267, 911, 332, 3515, 267, 543, 4683, 7841, 3515, 269, 634, 3804, 568, 547, 1118, 1857, 18302, 811, 10375, 543, 3015, 585, 811, 1004, 269, 901, 666, 1651, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 8702, 547, 938, 3408, 540, 519, 1158, 540, 3656, 22825, 256, 1411, 1522, 723, 4862, 519, 1913, 834, 18721, 9807, 257, 543, 834, 3430, 528, 2284, 257, 1354, 267, 855, 1705, 596, 917, 602, 789, 1810, 1405, 2141, 1611, 519, 1482, 3364, 286, 2913, 781, 4685, 883, 1620, 1018, 2306, 873, 1114, 543, 875, 789, 948, 1004, 609, 3656, 2152, 780, 4131, 781, 1376, 676, 6158, 827, 1018, 13462, 17864, 543, 27192, 910, 789, 1312, 960, 538, 519, 3656, 2361, 1310, 3478, 7463, 2069, 543, 2866, 269, 901, 1797, 789, 666, 2285, 5796, 827, 4031, 543, 948, 1004, 6330, 998, 7294, 3656, 3871, 269, 1924, 2484, 267, 621, 4992, 899, 789, 10416, 798, 519, 1482, 2816, 267, 1318, 286, 4270, 267, 1577, 781, 1413, 6251, 693, 519, 3604, 2439, 5331, 596, 1616, 547, 1831, 2731, 1434, 693, 11256, 25394, 269, 4495, 596, 1451, 782, 972, 568, 547, 917, 827, 5820, 267, 2553, 267, 543, 7718, 908, 267, 596, 1223, 1289, 3054, 513, 834, 322, 820, 4274, 1701, 2334, 1131, 3382, 3388, 596, 4121, 827, 1818, 8949, 13000, 256, 3767, 1589, 540, 606, 834, 3430, 528, 2284, 257, 607, 2576, 945, 24870, 538, 835, 1880, 1826, 540, 14735, 1107, 1577, 781, 2161, 10217, 6204, 742, 331, 2946, 269, 2353, 519, 2182, 960, 789, 2322, 883, 13215, 602, 1808, 18397, 1274, 985, 873, 519, 2012, 834, 3430, 528, 2284, 2437, 799, 8711, 741, 4359, 1983, 538, 7829, 1175, 602, 2186, 540, 1521, 780, 2080, 781, 1141, 938, 21658, 13218, 1394, 547, 1483, 1272, 281, 950, 2576, 3587, 513, 834, 18721, 9807, 2437, 789, 4309, 6284, 585, 1565, 17618, 827, 1082, 2010, 540, 4031, 269, 1809, 952, 789, 3442, 547, 1445, 1256, 811, 7184, 593, 835, 1858, 630, 3697, 1920, 1876, 1070, 1287, 789, 1831, 1634, 607, 606, 834, 3430, 528, 2284, 257, 538, 602, 1880, 2361, 780, 23991, 1876, 6212, 593, 6927, 2673, 547, 1753, 267, 971 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2098, 7709, 3009, 6765, 3148, 7868, 1101, 1297, 540, 513, 2098, 7709, 3009, 18575, 513, 1808, 1305, 540, 2829, 538, 519, 2136, 2276, 563, 10376, 540, 519, 1895, 779, 2034, 543, 3791, 2338, 4564, 513, 8513, 267, 971, 607, 513, 1713, 2749, 267, 3330, 602, 1895, 20193, 568, 1175, 2556, 547, 917, 519, 1101, 2947, 9704, 540, 519, 2098, 7709, 3009, 538, 1931, 547, 6494, 13875, 16638, 6984, 519, 2347, 2098, 7709, 266, 275, 3009, 267, 593, 519, 824, 1688, 267, 666, 2110, 523, 6765, 2053, 19962, 547, 519, 1880, 13664, 1344, 1373, 24829, 269, 313, 7709, 9479, 616, 10736, 883, 536, 2117, 3941, 267, 799, 1450, 585, 519, 13128, 18570, 540, 13875, 267, 8754, 4227, 519, 2179, 540, 1480, 5464, 602, 568, 2838, 538, 519, 1184, 563, 14532, 2986, 634, 2098, 7709, 8943, 454, 763, 2098, 7709, 3009, 1062, 729, 3964, 1282, 513, 1974, 540, 2804, 22820, 538, 519, 2136, 2276, 540, 3013, 6185, 826, 547, 513, 2656, 2333, 538, 2551, 607, 1134, 607, 513, 24567, 538, 5010, 2534, 1739, 519, 1101, 543, 2034, 2622, 12668, 267, 621, 2919, 856, 540, 13766, 6185, 1005, 713, 942, 1974, 267, 4540, 2022, 531, 6765, 2409, 3459, 547, 3111, 607, 513, 1267, 540, 519, 10421, 585, 1344, 547, 1847, 2066, 519, 2898, 2136, 2276, 11782, 811, 3533, 982, 5892, 563, 288, 1007, 1062, 729, 2919, 538, 3210, 547, 713, 267, 543, 621, 729, 13166, 18611, 538, 476, 3422, 274, 1739, 513, 476, 736, 4458, 1646, 1184, 676, 7917, 9855, 267, 945, 6170, 1010, 3003, 4876, 2324, 585, 519, 2136, 2276, 5403, 531, 6796, 630, 4785, 4916, 1040, 288, 9138, 10230, 1062, 729, 1031, 3079, 540, 513, 1447, 6896, 11291, 540, 1134, 8153, 4872, 267, 17521, 267, 543, 2829, 538, 1931, 547, 7500, 713, 1062, 20136, 5912, 689, 513, 811, 13016, 543, 2123, 1505, 540, 5883, 13875, 547, 835, 602, 729, 811, 3989, 543, 10288, 17275, 9880, 543, 513, 476, 736, 4458, 6370, 269, 4263, 519, 942, 540, 9855, 779, 2669, 538, 476, 1220, 272, 267, 646, 729, 20295, 609, 519, 1646, 540, 519, 1101, 1614, 9704, 540, 519, 2136, 2276, 2098, 7709, 3009, 269, 3528, 476, 3422, 278, 267, 2098, 7709, 9479, 941, 1031, 547, 2697, 782, 13875, 9447, 538, 519, 2136, 2276, 563, 1607, 1974, 538, 1686, 4718, 519, 2136, 2276, 5403, 531, 6796, 3743, 585, 24317, 476, 3199, 5479, 4773, 540, 13875, 267, 606, 2333, 689, 519, 3105, 8445, 540, 476, 1789, 5479, 1282, 2622, 2782, 4083, 8160, 6756, 6112, 267, 513, 1007, 1158, 540, 6283, 729, 6932, 267, 6353, 676, 519, 946, 540, 18114, 543, 27858, 267, 799, 941, 5827, 540, 24317, 21113, 811, 3927, 982, 2757, 5721, 1949, 269, 2026, 942, 4682, 593, 267, 2098, 7709, 9479, 8057, 547, 4196, 513, 3152, 1297, 540, 3252, 538, 1977, 2528, 543, 2486, 563, 2691, 621, 2501, 547, 519, 2136, 2276, 17227, 267, 585, 1383, 267, 2098, 7709, 9479, 616, 1031, 547, 30387, 15295, 1344, 267, 799, 2882, 855, 568, 711, 3908, 547, 3872, 26556, 267, 1920, 4747, 267, 7622, 2450, 267, 543, 824, 2551, 1072, 10832, 267, 1851, 824, 1919, 269, 313, 7709, 9479, 616, 1031, 676, 2883, 5238, 971, 607, 8492, 267, 6142, 7426, 267, 543, 5491, 3556, 10909, 547, 3313, 1719, 3928, 269, 313, 760, 9479, 616, 849, 6964, 538, 2228, 11449, 3156, 267, 3226, 538, 519, 2127, 540, 12611, 7020, 543, 6604, 267, 607, 5892, 5018, 269, 313, 7709, 9479, 616, 1898, 585, 6616, 519, 15295, 2934, 540, 519, 2136, 2276, 607, 1134, 607, 10647, 1870, 3330, 519, 2197, 563, 313, 7709, 32011, 769, 6820, 21887, 454, 2005, 568, 513, 4759, 2197, 540, 519, 17629, 5403, 531, 5742, 602, 519, 2136, 2276, 12851, 547, 630, 16810, 308, 1040, 769, 1931, 547, 3895, 519, 1863, 20049, 540, 5001, 13875, 267, 519, 2136, 8315, 5403, 531, 5742, 630, 16810, 308, 264, 12346, 593, 2022, 531, 3009, 4441, 2813, 543, 9738, 676, 519, 2136, 2276, 540, 3013, 563, 763, 2136, 8315, 27943, 10610, 454, 763, 2136, 8315, 685, 9431, 6392, 267, 519, 2136, 8315, 15510, 8750, 630, 16810, 308, 1070, 568, 882, 5050, 593, 4759, 2477, 899, 519, 2136, 2276, 585, 7482, 267, 4030, 267, 543, 3621, 5718, 269, 8794, 22127, 6176, 7010, 630, 31043, 264, 2029, 689, 519, 2136, 2276, 267, 519, 17629, 5403, 531, 5742, 814, 1044, 2111, 547, 4020, 1007, 2022, 531, 1949, 538, 3384, 2477, 689, 519, 2666, 909, 538, 2487, 1296, 6993, 2034, 1599, 540, 519, 24505, 308, 568, 547, 957, 607, 513, 18657, 1807, 538, 7526, 16109, 538, 513, 7294, 2518, 4123, 1604, 563, 763, 2136, 2276, 267, 609, 922, 2098, 7709, 3009, 1062, 543, 6791, 267, 568, 835, 540, 519, 1034, 21464, 22881, 547, 519, 2136, 8315, 15510, 8750, 630, 16810, 308, 1040, 11997, 267, 621, 568, 2565, 585, 1099, 5505, 945, 4308, 609, 2098, 7709, 3009, 1239, 547, 8275, 602, 2022, 531, 3009, 1949, 723, 2484, 23568, 23786, 10083, 607, 1966, 9010, 2645, 267, 543, 602, 713, 1620, 1058, 581, 28078, 547, 873, 563, 8070, 531, 32011, 769, 4516, 630, 28657, 5403, 994, 2467, 616, 1079, 1114, 1949, 540, 2022, 531, 9479, 538, 946, 538, 4516, 543, 519, 2136, 2276, 269, 2690, 26784, 267, 2098, 7709, 9479, 616, 2189, 547, 519, 2136, 2276, 543, 616, 9738, 676, 519, 2136, 2276, 5403, 531, 6796, 630, 4785, 4916, 1040, 2691, 621, 2501, 547, 2022, 531, 9479, 538, 4516, 267, 789, 616, 13950, 676, 4516, 5403, 267, 799, 568, 519, 2197, 779, 13875, 6765, 8116, 563, 28657, 267, 899, 519, 2136, 2276, 267, 814, 835, 540, 519, 1034, 1134, 20452, 2022, 531, 3009, 1949, 538, 519, 1158, 267, 799, 568, 2147, 547, 519, 2136, 2276, 6185, 1005, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 267, 519, 2197, 1185, 513, 2551, 22820, 267, 799, 14626, 3660, 609, 519, 1646, 540, 713, 1062, 20136, 729, 519, 3355, 2022, 531, 3009, 267, 799, 729, 513, 1614, 18251, 1062, 602, 729, 2663, 9450, 547, 513, 3670, 18251, 1062, 4358, 538, 476, 3422, 280, 20193, 568, 1634, 607, 513, 4464, 4990, 566, 1858, 630, 293, 6347, 264, 538, 519, 1101, 1614, 9704, 540, 519, 1297, 267, 543, 621, 14687, 547, 513, 10923, 4087, 971, 607, 513, 11662, 610, 8513, 7868, 2034, 1305, 540, 1614, 9704, 12211, 547, 513, 2199, 6765, 1770, 630, 17162, 308, 1070, 799, 568, 513, 4015, 540, 9607, 602, 568, 4330, 676, 519, 1101, 1305, 540, 1614, 9704, 563, 8070, 531, 18570, 267, 12957, 267, 543, 519, 7245, 540, 15295, 1239, 723, 782, 1044, 19658, 676, 519, 946, 540, 2022, 322, 3941, 538, 4516, 267, 799, 616, 26922, 547, 2098, 7709, 9479, 538, 519, 2136, 2276, 585, 13875, 3892, 269, 10303, 540, 519, 4999, 540, 938, 5001, 14449, 543, 1655, 2987, 11665, 2029, 267, 10753, 336, 622, 20674, 4213, 782, 936, 519, 1158, 538, 2357, 4328, 7817, 9607, 269, 8794, 938, 2241, 547, 11753, 16286, 267, 938, 5561, 949, 19472, 6075, 1239, 1318, 693, 519, 4090, 540, 4015, 563, 5649, 593, 547, 1451, 811, 827, 875, 10753, 336, 622, 779, 2232, 19027, 3435, 1522, 4324, 707, 3919, 563, 8070, 13892, 12700, 543, 6176, 21213, 593, 519, 476, 2537, 6113, 540, 5988, 538, 519, 1032, 476, 1708, 272, 563, 1692, 1082, 9607, 666, 513, 2022, 13892, 723, 888, 763, 3044, 5403, 13892, 17372, 11711, 666, 1152, 1331, 513, 2698, 540, 476, 1911, 5838, 762, 1439, 9557, 829, 23350, 538, 519, 8912, 3898, 269, 634, 13038, 1763, 2064, 10471, 8761, 602, 1472, 476, 8517, 2022, 322, 3941, 630, 719, 540, 476, 272, 269, 279, 2929, 264, 723, 811, 982, 476, 1911, 5838, 762, 1439, 9557, 543, 1016, 268, 21232, 17473, 950, 519, 10471, 568, 3144, 883, 2272, 563, 7617, 2022, 13892, 814, 519, 1034, 9607, 888, 2252, 596, 6451, 519, 13038, 1763, 2064, 1344, 689, 519, 9576, 25357, 267, 519, 2022, 13892, 22008, 275, 476, 278, 3201, 7472, 5176, 476, 276, 267, 1822, 9607, 269, 22008, 275, 476, 278, 2464, 568, 519, 2034, 1034, 29245, 2022, 13892, 267, 609, 1472, 476, 272, 267, 8517, 7264, 563, 1432, 568, 519, 7887, 2022, 13892, 1858, 538, 519, 5177, 888, 763, 10001, 2022, 531, 1858, 267, 1419, 1634, 607, 769, 591, 1145, 267, 568, 519, 1034, 29245, 269, 898, 568, 1500, 909, 540, 476, 7367, 2022, 13892, 13102, 585, 2022, 10034, 602, 1118, 909, 519, 3003, 1062, 563, 1692, 2462, 568, 513, 2022, 13892, 1858, 888, 1103, 519, 2136, 8003, 267, 972, 616, 513, 2698, 540, 476, 14862, 2022, 13892, 2127, 269, 769, 519, 2136, 2276, 267, 519, 3328, 1858, 568, 476, 6507, 277, 4009, 5195, 538, 2450, 267, 609, 606, 3328, 2551, 540, 476, 276, 3451, 267, 1822, 1004, 563, 7617, 2022, 13892, 814, 519, 13074, 9607, 888, 763, 2022, 13892, 538, 519, 2136, 8003, 568, 1500, 909, 540, 2947, 547, 5722, 21229, 534, 10179, 545, 3197, 602, 10646, 2185, 3982, 2157, 540, 13664, 1770, 269, 8863, 276, 476, 274, 304, 310, 568, 519, 2232, 609, 519, 1034, 2179, 540, 3334, 538, 2474, 540, 3259, 563, 1432, 568, 513, 25948, 2022, 13892, 888, 8070, 13892, 2127, 616, 1016, 323, 22866, 883, 513, 1297, 540, 13102, 267, 1142, 540, 799, 568, 6719, 676, 519, 10230, 3296, 540, 519, 2022, 13892, 602, 14687, 547, 602, 851, 540, 519, 8513, 269, 1452, 2338, 616, 538, 519, 2039, 540, 476, 271, 547, 476, 4200, 563, 4692, 596, 6494, 513, 4484, 609, 1175, 513, 2022, 13892, 888, 22818, 6993, 2022, 13892, 602, 12851, 547, 513, 1804, 3593, 3919, 568, 11603, 14311, 585, 873, 282, 20866, 267, 621, 779, 1561, 321, 762, 602, 707, 4484, 786, 3914, 519, 3617, 18579, 950, 621, 21128, 693, 922, 10278, 20193, 568, 4105, 547, 1331, 519, 2022, 13892, 538, 513, 4484, 538, 1931, 547, 10018, 602, 621, 4991, 9447, 547, 519, 1697, 2232, 563, 4263, 519, 6207, 2547, 267, 513, 2347, 2232, 1058, 1331, 513, 23350, 8446, 543, 519, 2022, 4884, 1141, 519, 2232, 568, 4092, 11053, 820, 513, 1413, 693, 938, 5140, 5466, 3391, 547, 1118, 2386, 707, 13875, 568, 9619, 14013, 563, 1692, 1419, 616, 2022, 322, 3941, 8242, 888, 8070, 322, 3941, 616, 8242, 593, 513, 3232, 4493, 543, 616, 2139, 593, 519, 5403, 13892, 17372, 11711, 9738, 676, 519, 9576, 25357, 563, 4692, 513, 2022, 13892, 581, 4957, 888, 4462, 1652, 621, 568, 11613, 2838, 543, 972, 568, 606, 10512, 4493, 585, 3257, 865, 267, 9576, 25357, 1281, 711, 1118, 12381, 547, 2022, 322, 3941, 269, 1763, 6342, 666, 3343, 12381, 282, 2705, 267, 972, 1590, 581, 6190, 2963, 602, 782, 1346, 945, 1131, 581, 12936, 616, 538, 3870, 540, 519, 7662, 269, 2859, 1344, 949, 581, 1336, 538, 519, 9576, 25357, 779, 8943, 540, 6657, 563, 1692, 1082, 5177, 2022, 322, 3941, 616, 972, 888, 1103, 519, 2136, 8003, 267, 972, 616, 1472, 476, 272, 269, 278, 2929, 2022, 322, 3941, 563, 1692, 1082, 22402, 616, 538, 513, 2022, 13892, 888, 10376, 2022, 13892, 14687, 547, 606, 3328, 540, 1472, 476, 1428, 10821, 4559, 269, 1717, 267, 713, 568, 711, 513, 17046, 1297, 267, 607, 2022, 322, 3941, 666, 2270, 607, 1454, 607, 476, 1911, 3197, 563, 11795, 2397, 9737, 2098, 760, 8943, 543, 5403, 531, 8943, 630, 5976, 18948, 15873, 994, 2171, 616, 782, 3222, 602, 20471, 649, 2328, 938, 2022, 531, 2232, 1247, 544, 9430, 1945, 547, 2576, 538, 1776, 4087, 267, 649, 1590, 1331, 513, 3009, 693, 519, 1439, 267, 10834, 519, 5730, 4087, 585, 799, 519, 2232, 568, 5497, 269, 4322, 9479, 267, 799, 666, 581, 9981, 610, 513, 3575, 540, 2338, 543, 5022, 267, 2099, 513, 13664, 1747, 267, 1448, 267, 610, 8905, 543, 666, 581, 1224, 593, 513, 4786, 269, 5445, 616, 2022, 531, 9479, 602, 616, 1031, 676, 519, 2022, 531, 3028, 610, 4172, 8175, 4213, 547, 25117, 519, 18570, 540, 13875, 543, 2327, 602, 621, 568, 9447, 607, 3533, 607, 2009, 563, 4913, 267, 519, 2022, 531, 3009, 568, 711, 8246, 676, 782, 6082, 267, 543, 538, 930, 2665, 267, 519, 2098, 7709, 3009, 568, 1031, 3079, 540, 519, 2022, 531, 3009, 16638, 519, 1482, 1259, 602, 513, 2022, 531, 3009, 5713, 519, 1482, 3483, 267, 23407, 9479, 616, 1031, 676, 2477, 971, 607, 519, 2136, 2276, 543, 519, 13372, 547, 2697, 6753, 269, 2691, 621, 2501, 547, 2022, 531, 9479, 543, 23407, 9479, 267, 972, 568, 513, 1360, 5386, 1899, 1063, 873, 269, 7212, 789, 616, 1114, 267, 1312, 616, 1031, 585, 23332, 543, 18570, 13875, 543, 585, 12570, 519, 942, 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 ]

[ 547, 1831, 7613, 269, 3502, 1152, 798, 711, 1416, 18211, 665, 571, 10756, 12218, 1227, 8032, 4401, 1698, 267, 1063, 519, 476, 1556, 628, 543, 476, 1691, 628, 5553, 267, 519, 1698, 568, 17031, 543, 922, 6316, 3226, 2647, 267, 607, 621, 729, 1455, 547, 5957, 538, 519, 5664, 12698, 2094, 621, 3177, 1434, 4027, 1996, 9514, 338, 689, 1657, 269, 634, 11635, 30989, 1705, 711, 15936, 609, 8289, 610, 7244, 267, 799, 568, 1946, 7504, 1889, 10756, 30265, 528, 7916, 616, 2679, 7161, 540, 10120, 24915, 585, 7980, 267, 3850, 873, 547, 16784, 621, 585, 8396, 269, 634, 4773, 540, 24915, 616, 4448, 547, 1142, 824, 676, 678, 633, 1540, 2269, 1186, 8160, 539, 8148, 24915, 6186, 2882, 2062, 1301, 22902, 267, 23969, 14950, 267, 6186, 22902, 269, 5472, 938, 3140, 10063, 2388, 540, 10120, 24915, 9604, 616, 1688, 18679, 8469, 8148, 14022, 528, 5161, 540, 513, 1804, 10652, 6665, 1930, 2361, 267, 609, 513, 25170, 22739, 19492, 557, 1283, 269, 634, 3337, 540, 519, 1471, 528, 568, 2587, 1194, 693, 519, 1647, 4463, 540, 519, 18015, 543, 31732, 24851, 4064, 267, 609, 476, 1428, 2011, 642, 757, 5116, 693, 519, 13551, 563, 305, 4428, 27897, 267, 17031, 9221, 267, 543, 2451, 609, 25231, 2280, 729, 615, 4448, 547, 519, 991, 331, 907, 0, 22025, 9914, 2337, 10038, 824, 6886, 538, 707, 1560, 267, 971, 607, 9770, 7513, 543, 13101, 269, 1879, 9770, 2157, 616, 1970, 267, 11379, 2157, 2333, 269, 901, 666, 581, 835, 2014, 585, 1970, 11379, 2157, 269, 769, 2490, 267, 1164, 11379, 2157, 2569, 519, 1981, 540, 1164, 1973, 2604, 543, 8482, 563, 8802, 8973, 713, 267, 666, 1970, 9770, 2014, 1164, 11379, 888, 32451, 2370, 11379, 7679, 31013, 609, 1973, 2095, 547, 543, 689, 519, 2295, 543, 14401, 269, 8899, 2157, 540, 9770, 538, 519, 2732, 666, 2014, 707, 1560, 547, 11677, 11379, 269, 1924, 267, 1932, 267, 1970, 9770, 11326, 666, 2014, 707, 1560, 547, 1491, 538, 1932, 1454, 11379, 563, 4692, 594, 1449, 1250, 9770, 2157, 693, 1753, 888, 2414, 1449, 707, 6070, 6981, 267, 596, 2461, 513, 1590, 946, 513, 7893, 3926, 1449, 269, 15439, 1491, 513, 1507, 2179, 540, 10729, 630, 1492, 3339, 2179, 568, 827, 476, 272, 270, 273, 26412, 264, 543, 13248, 621, 538, 543, 1577, 621, 1694, 585, 827, 476, 1789, 3764, 269, 3973, 979, 547, 707, 4387, 585, 606, 4977, 1449, 269, 589, 3339, 2542, 568, 2630, 476, 273, 269, 276, 544, 292, 336, 13624, 543, 1164, 13220, 616, 519, 1267, 540, 1970, 1606, 18754, 6981, 563, 1692, 1281, 11379, 1860, 519, 2295, 888, 22025, 9914, 2337, 2149, 519, 2295, 269, 898, 11151, 519, 2295, 4887, 689, 9561, 2877, 5135, 630, 4593, 1335, 807, 1040, 28611, 267, 11379, 568, 6740, 538, 519, 2295, 4887, 543, 1973, 2281, 538, 513, 6219, 1572, 11379, 269, 8000, 9914, 568, 1271, 585, 2300, 527, 1464, 543, 19432, 540, 519, 2295, 269, 8899, 11379, 2157, 1291, 547, 2855, 20263, 5362, 630, 597, 10585, 2295, 3928, 1916, 4692, 6704, 1932, 1454, 1216, 2014, 1970, 11379, 888, 288, 1804, 1216, 4616, 666, 2014, 1970, 11379, 1973, 2157, 1813, 547, 13165, 610, 13481, 563, 1432, 568, 519, 1034, 1455, 2014, 540, 3834, 517, 520, 8145, 807, 888, 763, 1034, 1455, 3123, 540, 3834, 517, 520, 8145, 807, 616, 28453, 540, 4430, 1216, 267, 936, 4621, 18870, 540, 1216, 11656, 12862, 899, 4568, 610, 824, 7050, 5714, 6981, 602, 3112, 581, 8719, 676, 2530, 1813, 547, 13165, 267, 13481, 267, 610, 7050, 24852, 563, 4692, 1970, 11379, 2014, 1164, 22680, 888, 11947, 2157, 540, 11379, 538, 519, 1973, 6908, 666, 2014, 1164, 1973, 2604, 538, 2635, 1004, 563, 9989, 11379, 22599, 856, 9770, 888, 22025, 9914, 568, 606, 9357, 267, 1247, 9770, 568, 606, 3693, 269, 589, 2582, 2318, 5279, 538, 606, 11046, 666, 581, 7059, 676, 606, 3160, 1297, 540, 2942, 10997, 12341, 3116, 593, 519, 11046, 269, 1924, 267, 519, 1482, 1297, 540, 2318, 543, 2942, 10997, 666, 581, 7856, 2429, 606, 11046, 267, 4758, 621, 513, 9243, 2121, 5279, 563, 8138, 8019, 267, 835, 949, 849, 2307, 267, 875, 1281, 9770, 1860, 11379, 888, 306, 18754, 543, 11379, 1312, 4163, 606, 5122, 5279, 267, 865, 972, 568, 606, 16007, 1063, 891, 2609, 269, 634, 8444, 540, 891, 1079, 2609, 538, 3435, 4482, 563, 1432, 1281, 11379, 798, 538, 519, 1591, 888, 22025, 9914, 568, 606, 1271, 29296, 524, 566, 602, 568, 5950, 676, 2281, 950, 789, 616, 9599, 676, 19670, 15128, 563, 4692, 1164, 11379, 581, 3361, 676, 18024, 888, 2791, 666, 1628, 909, 513, 2067, 11379, 17211, 630, 869, 11379, 264, 950, 596, 6336, 1932, 1454, 1216, 269, 5221, 519, 1560, 2115, 11379, 547, 3666, 1216, 2157, 267, 513, 6749, 538, 1216, 6981, 666, 1291, 547, 1970, 11379, 2157, 538, 707, 1973, 269, 1411, 1810, 1406, 1256, 991, 547, 581, 13204, 3603, 547, 2569, 707, 11379, 2157, 563, 2710, 11379, 2157, 1689, 3232, 888, 7312, 8459, 568, 513, 1360, 1271, 2497, 538, 707, 1560, 602, 568, 3238, 538, 519, 7939, 540, 11379, 2157, 269, 1411, 2356, 6336, 811, 11379, 982, 596, 2744, 676, 24852, 267, 865, 621, 779, 3339, 585, 707, 2157, 547, 581, 1970, 593, 513, 3905, 1554, 269, 1358, 786, 2333, 950, 621, 4991, 16830, 563, 4692, 1970, 11379, 2014, 3666, 2042, 888, 11947, 11379, 2157, 538, 519, 1973, 666, 2014, 513, 2783, 1634, 607, 3834, 758, 531, 8598, 269, 14523, 758, 531, 8598, 568, 513, 2783, 538, 799, 596, 723, 1932, 2370, 11379, 538, 519, 1973, 269, 634, 2783, 666, 2014, 12152, 832, 267, 1000, 26677, 267, 543, 4887, 20765, 269, 8899, 11379, 2157, 666, 849, 581, 513, 1129, 540, 8459, 5821, 563, 12234, 267, 875, 1281, 9770, 543, 11379, 960, 1927, 888, 29310, 267, 9770, 543, 11379, 616, 606, 23386, 269, 634, 3114, 2012, 585, 713, 1362, 540, 6675, 568, 968, 322, 725, 2223, 2495, 968, 27168, 12274, 1848, 15474, 12274, 4482, 543, 6125, 547, 2942, 12274, 269, 1403, 972, 568, 606, 19261, 540, 2901, 10878, 266, 543, 918, 266, 12274, 610, 606, 4430, 540, 10878, 266, 12274, 267, 1216, 786, 2095, 856, 540, 519, 1591, 563, 1692, 3533, 798, 11379, 2157, 1689, 888, 288, 11379, 3666, 2356, 4422, 538, 3666, 607, 4166, 607, 596, 3548, 2614, 11379, 563, 1432, 3123, 9770, 19261, 888, 763, 1034, 1455, 2014, 540, 9770, 19261, 568, 5312, 8459, 2068, 269, 1403, 707, 14401, 798, 711, 960, 1134, 267, 707, 1560, 568, 8572, 547, 608, 4740, 4430, 6070, 267, 865, 621, 11148, 547, 11677, 519, 9770, 538, 938, 2281, 269, 901, 2783, 849, 24506, 519, 2179, 540, 5714, 938, 4703, 991, 563, 1432, 616, 3339, 11379, 543, 9770, 2157, 888, 763, 3339, 9770, 2039, 568, 476, 13670, 547, 476, 13970, 6515, 565, 13624, 269, 634, 1611, 568, 476, 15946, 6515, 565, 13624, 9770, 269, 634, 3339, 11379, 2039, 568, 476, 274, 269, 277, 547, 476, 276, 269, 272, 6515, 565, 13624, 269, 634, 1611, 568, 476, 275, 269, 275, 6515, 565, 13624, 269, 634, 3339, 17296, 2039, 568, 476, 10441, 547, 476, 8099, 6515, 565, 13624, 563, 1432, 4523, 950, 596, 723, 1932, 1454, 11379, 888, 22025, 9914, 568, 513, 7777, 1336, 6140, 538, 2371, 269, 6168, 476, 4817, 268, 9032, 260, 540, 938, 3232, 11379, 6981, 568, 3177, 676, 2371, 630, 557, 1326, 1963, 543, 5613, 264, 689, 2067, 2959, 267, 1519, 12277, 267, 20397, 267, 17436, 267, 543, 22648, 269, 18320, 1454, 11379, 568, 6757, 547, 707, 1560, 1317, 649, 723, 1100, 1259, 547, 1205, 7759, 540, 7050, 5666, 540, 713, 7777, 563, 1432, 616, 2589, 540, 1932, 1454, 11379, 888, 21618, 666, 2408, 3533, 267, 1369, 513, 1906, 3764, 267, 855, 666, 849, 1491, 2395, 543, 4374, 547, 2408, 269, 634, 2589, 540, 11379, 10638, 616, 281, 667, 20063, 267, 2295, 27621, 14591, 267, 25574, 267, 610, 15353, 563, 6701, 11379, 543, 9770, 11201, 569, 1644, 888, 22025, 9914, 543, 9770, 616, 1312, 32690, 3743, 585, 10408, 5201, 1317, 789, 616, 1507, 12274, 602, 1847, 689, 835, 1858, 540, 2281, 547, 519, 824, 269, 1809, 1247, 519, 10878, 266, 270, 298, 266, 5223, 568, 476, 272, 281, 272, 538, 513, 1591, 267, 621, 779, 519, 6587, 5223, 3544, 519, 1591, 269, 901, 1797, 602, 1247, 11379, 1058, 2333, 267, 9770, 1058, 6175, 607, 7513, 4679, 267, 543, 13030, 17930, 563, 3963, 666, 1406, 596, 2482, 1524, 1310, 2921, 11379, 888, 7312, 14401, 9004, 11379, 689, 519, 1560, 1932, 3533, 267, 799, 666, 2014, 513, 4028, 4473, 538, 11379, 2157, 269, 2659, 1560, 7363, 814, 513, 2603, 540, 6070, 543, 2115, 547, 946, 621, 547, 5372, 11379, 538, 707, 1560, 950, 596, 1491, 11379, 9360, 269, 1403, 596, 723, 1164, 2157, 540, 11379, 267, 707, 1560, 3217, 1932, 1279, 547, 23574, 707, 1973, 267, 513, 2783, 1572, 5409, 32039, 8598, 563, 4692, 1932, 1454, 6070, 2014, 1164, 11379, 888, 11947, 2157, 540, 6070, 538, 519, 2732, 666, 632, 10968, 11379, 267, 799, 568, 1271, 538, 1312, 4887, 19432, 543, 1973, 2604, 7939, 269, 2290, 1353, 5267, 602, 513, 1164, 6981, 540, 6070, 666, 3441, 519, 8459, 543, 1291, 547, 1164, 1973, 2604, 269, 0, 2005, 779, 6059, 602, 476, 3199, 2929, 9748, 540, 4496, 568, 13381, 1169, 1032, 538, 3013, 269, 3807, 875, 1281, 4496, 9657, 960, 286, 634, 3703, 5450, 1023, 27822, 5948, 6257, 875, 4496, 568, 13381, 563, 4131, 779, 1246, 519, 3460, 540, 606, 2025, 21067, 998, 513, 4496, 9657, 3028, 269, 2991, 1818, 922, 1259, 547, 519, 9657, 2030, 563, 5575, 267, 782, 10690, 3688, 543, 9348, 1782, 616, 6569, 689, 519, 21067, 269, 634, 9885, 616, 1287, 6569, 269, 3281, 816, 619, 267, 3457, 547, 1832, 519, 21067, 4411, 267, 616, 6569, 1210, 513, 3926, 2147, 547, 519, 968, 329, 9155, 540, 1272, 892, 1031, 676, 6595, 2533, 269, 634, 21067, 568, 1287, 5701, 609, 5277, 9436, 547, 2061, 1022, 30762, 689, 6464, 519, 21067, 3568, 563, 763, 21067, 568, 1631, 4712, 585, 9657, 269, 898, 779, 12628, 538, 513, 5458, 3684, 1572, 513, 3444, 2759, 32291, 602, 9397, 621, 909, 883, 2370, 11353, 269, 634, 11353, 616, 1287, 12015, 1055, 538, 1776, 29751, 3684, 1572, 513, 15018, 17684, 563, 2691, 3819, 267, 519, 11353, 979, 998, 513, 521, 10079, 543, 1287, 547, 513, 9126, 3101, 6728, 269, 19045, 568, 9674, 689, 5068, 676, 1797, 540, 513, 5458, 15914, 11275, 269, 634, 4496, 11353, 2244, 538, 5458, 4859, 25510, 269, 6168, 476, 4792, 260, 540, 513, 21067, 568, 5374, 267, 799, 568, 1631, 4712, 547, 581, 5828, 883, 1007, 4496, 2472, 269, 898, 849, 814, 476, 1321, 260, 5068, 267, 799, 666, 849, 581, 13381, 269, 0, 300, 1783, 267, 9478, 589, 563, 300, 2529, 269, 630, 22913, 540, 3163, 994, 23430, 540, 17323, 454, 305, 760, 4115, 2371, 734, 26877, 12437, 282, 24627, 338, 734, 26877, 12437, 282, 23117, 734, 26877, 12437, 282, 20837, 14498, 734, 26877, 12437, 282, 8092, 13257, 734, 26877, 12437, 454, 763, 2078, 1063, 2770, 341, 658, 2244, 13257, 543, 10664, 3270, 568, 6353, 676, 10851, 540, 10664, 2516, 6252, 547, 519, 6908, 8756, 11231, 2059, 513, 13506, 540, 6360, 4908, 269, 901, 1957, 12116, 519, 8901, 4806, 540, 18009, 4115, 10664, 607, 621, 568, 6766, 676, 2770, 341, 658, 2244, 13257, 543, 519, 3845, 27160, 4582, 566, 689, 513, 6908, 538, 8832, 13325, 269, 1879, 10664, 568, 2392, 7631, 2299, 1336, 593, 513, 2770, 341, 658, 2627, 609, 513, 1634, 6360, 4908, 267, 10664, 666, 581, 1031, 547, 3589, 6360, 4908, 1141, 3289, 6331, 545, 1239, 616, 17077, 269, 4578, 941, 6394, 2059, 17464, 4167, 338, 13902, 547, 519, 6908, 689, 519, 3742, 6360, 21622, 547, 519, 1216, 779, 6316, 693, 519, 7455, 540, 513, 803, 6387, 18846, 543, 693, 2798, 19654, 543, 25318, 540, 519, 18846, 269, 5843, 9008, 2762, 543, 2627, 3037, 9325, 2450, 941, 5462, 11617, 269, 17164, 566, 5888, 729, 6592, 998, 1899, 25435, 10386, 269, 11778, 4951, 602, 930, 2249, 543, 2010, 540, 10664, 616, 3135, 1808, 269, 5080, 5865, 14191, 547, 519, 8756, 5127, 941, 13856, 676, 2249, 811, 27031, 540, 2770, 341, 658, 3157, 269, 17164, 566, 14282, 519, 1216, 779, 6316, 25318, 540, 519, 803, 6387, 18846, 7902, 547, 581, 811, 27031, 540, 14700, 982, 10664, 693, 519, 19654, 3135, 563, 291, 578, 323, 267, 6869, 787, 333, 631, 1421, 834, 303, 16993, 540, 18009, 4115, 10664, 593, 2770, 341, 658, 2244, 13257, 538, 7187, 13325, 257, 630, 1960 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2979, 1104, 14039, 5897, 31709, 815, 10581, 9272, 3488, 295, 584, 588, 528, 2234, 773, 3771, 7333, 534, 286, 1412, 1040, 516, 2897, 263, 3299, 3299, 1412, 9538, 17903, 26319, 815, 10581, 9272, 3488, 295, 584, 561, 18033, 978, 339, 3771, 5918, 16204, 2426, 527, 286, 1412, 1040, 516, 2897, 263, 3299, 3299, 1412, 9538, 264, 10142, 15132, 636, 12401, 815, 476, 273, 2608, 8953, 2608, 14039, 1477, 331, 2355, 815, 3259, 1315, 18592, 5897, 2745, 6600, 262, 291, 340, 3771, 16204, 2426, 527, 2715, 331, 2355, 348, 15254, 341, 20298, 0, 309, 302, 16249, 318, 17803, 815, 476, 1240, 454, 11403, 2562, 32578, 318, 17803, 815, 476, 2641, 692, 258, 9577, 547, 1293, 519, 1297, 540, 2609, 538, 606, 5044, 540, 2338, 602, 616, 2362, 982, 454, 258, 610, 3160, 547, 2539, 318, 3916, 527, 454, 3698, 1293, 20189, 27941, 263, 6783, 267, 2539, 318, 3916, 527, 2187, 825, 1293, 815, 476, 271, 454, 825, 585, 1297, 538, 5044, 912, 1038, 952, 1297, 13843, 2539, 318, 3916, 527, 912, 2018, 1293, 6834, 476, 272, 454, 825, 2132, 1293, 692, 1137, 815, 29129, 6112, 630, 12528, 17750, 28701, 3403, 3488, 20597, 337, 643, 538, 679, 3331, 354, 19520, 630, 11839, 7117, 535, 23152, 1140, 1285, 16435, 25917, 2567, 1412, 4297, 11203, 1412, 336, 12466, 825, 2119, 912, 1038, 6502, 6910, 17301, 263, 12528, 17750, 4917, 825, 4849, 28759, 912, 1038, 1820, 3488, 302, 326, 2830, 580, 339, 642, 7564, 337, 1372, 17210, 2745, 6600, 262, 13510, 7663, 2006, 25419, 339, 2715, 6352, 263, 1137, 14587, 1268, 518, 535, 18033, 337, 2715, 12248, 20189, 27941, 263, 1137, 267, 966, 302, 16249, 318, 17803, 14587, 678, 7238, 560, 320, 315, 454, 522, 577, 2715, 12248, 20189, 27941, 263, 1137, 267, 19010, 2562, 32578, 318, 17803, 14587, 546, 4459, 320, 5073, 0, 5814, 15259, 454, 5228, 17511, 1104, 5903, 692, 15228, 27306, 815, 1193, 7531, 3698, 1293, 318, 1910, 13232, 318, 3650, 5091, 1824, 263, 1910, 13232, 281, 6641, 27306, 264, 9847, 703, 912, 825, 5727, 8340, 856, 875, 1082, 15956, 693, 519, 1917, 1456, 540, 513, 1623, 573, 12163, 825, 1775, 815, 476, 271, 454, 825, 1247, 7003, 263, 1910, 13232, 264, 3436, 1775, 543, 1623, 573, 5157, 316, 2652, 1412, 9538, 912, 1038, 1775, 6834, 476, 272, 454, 825, 2132, 1775, 7531, 3698, 1623, 573, 273, 4289, 263, 1910, 13232, 281, 6641, 27306, 264, 9847, 5903, 314, 1598, 14158, 825, 5727, 306, 5902, 606, 1623, 573, 547, 513, 1592, 780, 825, 7151, 912, 825, 910, 1412, 288, 11065, 5861, 262, 9847, 18358, 288, 3299, 1412, 289, 3299, 1412, 290, 23300, 825, 8173, 825, 2132, 1496, 14403, 585, 6221, 538, 1623, 573, 21858, 3488, 9538, 264, 952, 6221, 11203, 15234, 6540, 454, 3698, 1592, 273, 1910, 13232, 263, 1910, 13232, 4289, 281, 5903, 314, 1598, 8079, 9847, 6641, 27306, 912, 825, 5727, 18794, 513, 1592, 547, 1711, 513, 1623, 573, 780, 825, 7151, 912, 825, 910, 18358, 288, 3299, 1412, 289, 11172, 9847, 1412, 288, 11065, 7055, 825, 8173, 825, 2132, 29717, 8339, 21860, 263, 1910, 13232, 4289, 9239, 3698, 1623, 573, 7272, 1861, 263, 1910, 13232, 281, 6641, 27306, 264, 9847, 6641, 27306, 912, 825, 5727, 27987, 2385, 1623, 573, 780, 825, 1623, 573, 912, 1038, 606, 6207, 1623, 573, 780, 825, 7151, 912, 825, 910, 513, 12500, 6983, 9847, 513, 12500, 454, 825, 910, 513, 9847, 15234, 692, 825, 8173, 825, 2132, 29717, 8339, 21860, 263, 1910, 13232, 273, 4289, 263, 1910, 13232, 264, 11468, 268, 272, 316, 9239, 3698, 1623, 573, 9078, 770, 263, 1910, 13232, 281, 6641, 27306, 264, 9847, 1193, 912, 825, 5727, 27987, 519, 2063, 2012, 780, 825, 7151, 912, 825, 910, 513, 12500, 6983, 9847, 524, 454, 825, 910, 513, 9847, 513, 454, 825, 8173, 825, 952, 711, 1623, 573, 912, 1038, 2132, 1412, 7055, 825, 2132, 1623, 573, 273, 4289, 263, 1910, 13232, 264, 15631, 272, 6540, 454, 3698, 6207, 318, 1910, 13232, 4289, 263, 2017, 318, 1910, 13232, 281, 6641, 27306, 267, 1623, 573, 281, 6641, 27306, 264, 9847, 5903, 314, 1598, 14158, 825, 5727, 7476, 519, 6207, 1623, 573, 543, 6460, 621, 547, 513, 1592, 780, 825, 1225, 318, 1910, 13232, 912, 1038, 1699, 1623, 573, 780, 825, 1623, 573, 912, 1038, 3448, 1623, 573, 547, 1699, 1623, 573, 780, 825, 7151, 912, 825, 910, 18011, 907, 3299, 1412, 320, 12500, 6983, 10807, 9847, 18358, 320, 3299, 1412, 321, 23300, 825, 910, 630, 8339, 3299, 1412, 320, 12500, 10807, 9847, 18358, 320, 3299, 1412, 321, 23300, 825, 29185, 825, 1775, 815, 1293, 318, 1910, 13232, 318, 3650, 5091, 1824, 263, 1910, 13232, 994, 825, 952, 1775, 2652, 476, 271, 281, 476, 1948, 519, 1623, 573, 3294, 568, 606, 6207, 1623, 573, 454, 1038, 2132, 1623, 573, 273, 4289, 263, 1910, 13232, 994, 825, 3116, 912, 1038, 882, 318, 1910, 13232, 815, 1623, 573, 273, 4289, 263, 1910, 13232, 5157, 281, 7481, 1038, 952, 1775, 2652, 476, 272, 912, 2018, 2132, 1623, 573, 273, 4289, 263, 2017, 318, 1910, 13232, 264, 1341, 882, 318, 1910, 13232, 454, 1038, 3116, 912, 2018, 2132, 1623, 573, 273, 4289, 263, 2017, 318, 1910, 13232, 264, 11468, 24179, 328, 12262, 476, 273, 13580, 1341, 882, 318, 1910, 13232, 7531, 3698, 882, 12949, 273, 1910, 13232, 263, 2181, 25785, 24786, 281, 1193, 267, 521, 21683, 24786, 281, 1193, 264, 9847, 6641, 27306, 912, 825, 5727, 7049, 4733, 1623, 573, 689, 519, 2619, 780, 825, 7151, 912, 825, 910, 18011, 270, 320, 11486, 11305, 3299, 23367, 320, 11486, 11305, 7933, 27160, 18258, 10807, 9847, 1412, 323, 4318, 7055, 825, 8173, 825, 1455, 12949, 815, 15259, 29624, 2593, 3000, 12949, 8443, 2181, 25785, 24786, 267, 521, 21683, 24786, 7481, 825, 882, 12949, 815, 15259, 29624, 269, 7758, 12949, 4433, 21683, 24786, 267, 1455, 12949, 994, 825, 952, 882, 12949, 269, 1742, 5976, 3488, 269, 6853, 262, 2187, 1038, 882, 12949, 815, 882, 12949, 11468, 268, 274, 2639, 825, 8640, 882, 12949, 269, 1742, 5976, 3488, 269, 6853, 328, 262, 2187, 1038, 882, 12949, 815, 882, 12949, 11468, 268, 275, 2639, 825, 2132, 29717, 8339, 21860, 263, 7758, 12949, 21858, 263, 657, 29624, 269, 572, 335, 264, 9239, 3698, 882, 273, 629, 1087, 2096, 573, 263, 2017, 318, 1910, 13232, 281, 6641, 27306, 267, 882, 318, 1910, 13232, 281, 6641, 27306, 2187, 825, 5727, 3519, 3200, 513, 3448, 1623, 573, 547, 513, 6207, 1623, 573, 780, 825, 7151, 912, 825, 910, 18011, 320, 12500, 6983, 3299, 1412, 907, 323, 10807, 9847, 1412, 320, 12500, 6155, 7055, 825, 8173, 825, 1775, 815, 1293, 318, 1910, 13232, 318, 3650, 5091, 1824, 263, 7758, 318, 1910, 13232, 994, 825, 952, 1775, 2652, 476, 271, 912, 1038, 2132, 882, 318, 1910, 13232, 454, 825, 3116, 912, 1038, 1225, 318, 1910, 13232, 4289, 815, 1623, 573, 273, 4289, 263, 2017, 318, 1910, 13232, 994, 1038, 882, 318, 1910, 13232, 4289, 815, 1623, 573, 273, 4289, 263, 7758, 318, 1910, 13232, 5157, 281, 7481, 1038, 952, 1775, 11203, 476, 272, 912, 2018, 1225, 318, 1910, 13232, 4289, 815, 1225, 318, 1910, 13232, 4289, 11468, 24179, 328, 12262, 476, 273, 22708, 1038, 1225, 318, 1910, 13232, 4289, 269, 2169, 754, 263, 7758, 318, 1910, 13232, 4289, 994, 1038, 2132, 1592, 273, 1910, 13232, 263, 2017, 318, 1910, 13232, 4289, 994, 0, 258, 901, 3758, 568, 1141, 594, 1331, 519, 6922, 1314, 5690, 585, 1250, 21802, 3642, 799, 3097, 258, 7125, 519, 8849, 3060, 950, 621, 2115, 547, 6218, 513, 21802, 4604, 563, 692, 5814, 5299, 454, 5228, 7982, 17484, 10267, 1087, 1104, 27661, 5228, 4258, 1087, 32317, 1104, 27661, 5814, 4351, 454, 5814, 22532, 15187, 454, 5814, 4230, 692, 258, 20593, 1206, 5569, 540, 12035, 547, 4890, 1592, 540, 12035, 563, 5976, 1930, 263, 2668, 270, 18600, 2171, 2074, 270, 18600, 2171, 2074, 280, 17902, 2580, 834, 337, 8442, 607, 1250, 12803, 912, 825, 12035, 293, 815, 1250, 12803, 18667, 14061, 516, 2897, 28361, 333, 3299, 1412, 5073, 30135, 299, 815, 4230, 7456, 527, 1968, 21223, 1998, 263, 30135, 293, 2020, 258, 30498, 8849, 3060, 12035, 547, 519, 12035, 6740, 538, 519, 1257, 3758, 563, 3240, 15187, 815, 22532, 15187, 12991, 564, 8443, 5038, 267, 476, 4510, 267, 476, 1240, 267, 476, 272, 7481, 1721, 4494, 538, 2039, 12759, 30044, 15187, 7456, 16558, 9984, 272, 2187, 825, 585, 22813, 538, 2039, 12759, 30044, 15187, 7456, 16558, 314, 331, 9707, 8079, 2187, 1038, 1250, 15187, 7456, 16558, 314, 331, 9707, 6012, 928, 584, 517, 4940, 16059, 2171, 2074, 815, 12035, 299, 314, 331, 9707, 6012, 928, 584, 517, 6540, 258, 25927, 919, 519, 21802, 4604, 602, 568, 538, 519, 3014, 547, 513, 1106, 799, 568, 28505, 676, 519, 8849, 3060, 563, 3698, 14377, 32317, 29033, 2187, 825, 512, 32317, 815, 11713, 825, 585, 4737, 538, 2039, 263, 278, 267, 910, 272, 267, 910, 272, 2187, 1038, 585, 897, 538, 2039, 263, 279, 2187, 2018, 952, 4604, 314, 992, 6012, 3712, 316, 11203, 7183, 912, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 623, 11921, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 4905, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 4905, 994, 3546, 8640, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 26427, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 6349, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 6349, 994, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 21674, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 6734, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 6734, 994, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 681, 809, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 6860, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 6860, 994, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 10348, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 4962, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 4962, 994, 3546, 952, 568, 27349, 29033, 314, 992, 6012, 3712, 3910, 3751, 2187, 7386, 952, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 834, 19669, 13426, 13376, 512, 32317, 6910, 263, 269, 6187, 994, 7386, 3116, 912, 13376, 512, 32317, 6910, 8987, 269, 6187, 994, 2018, 3116, 912, 3546, 512, 32317, 6910, 263, 271, 269, 271, 994, 825, 2132, 512, 32317, 692, 258, 24439, 8675, 540, 782, 7575, 1141, 1142, 4062, 1843, 814, 922, 1378, 1592, 540, 7575, 563, 3698, 1205, 5472, 300, 7174, 29033, 267, 3642, 10233, 2187, 825, 782, 300, 7174, 815, 9598, 4590, 825, 585, 4737, 538, 2039, 12759, 29033, 15892, 1038, 585, 897, 538, 2039, 12759, 29033, 314, 271, 8079, 2187, 2018, 952, 4604, 314, 992, 6012, 3712, 316, 11203, 7183, 543, 4604, 314, 992, 6012, 3712, 4940, 10233, 2652, 3642, 10233, 912, 3546, 4604, 314, 992, 6012, 3712, 4940, 1326, 300, 7174, 29033, 994, 3546, 782, 300, 7174, 314, 4580, 314, 992, 6012, 3712, 14963, 815, 4604, 314, 992, 6012, 3712, 4940, 332, 7174, 454, 825, 2132, 782, 300, 7174, 692, 258, 901, 568, 519, 6922, 1314, 3406, 5690, 563, 3698, 6922, 1314, 15507, 29033, 267, 3642, 10233, 267, 1239, 2187, 825, 782, 300, 7174, 815, 1205, 5472, 300, 7174, 29033, 267, 3642, 10233, 994, 825, 1655, 30360, 815, 10581, 2891, 268, 8882, 5602, 825, 1225, 32317, 815, 14377, 32317, 29033, 994, 825, 10917, 289, 815, 5299, 19709, 788, 32476, 29033, 994, 825, 952, 568, 13425, 300, 622, 6025, 11391, 289, 267, 3642, 10233, 2187, 1038, 2132, 10917, 289, 454, 825, 585, 1883, 538, 782, 300, 7174, 912, 1038, 585, 1847, 538, 782, 300, 7174, 314, 4486, 14158, 2018, 1073, 329, 290, 4878, 815, 5299, 19709, 788, 32476, 31107, 994, 2018, 10917, 289, 815, 5299, 19709, 788, 32476, 29033, 994, 2018, 10917, 289, 314, 332, 913, 314, 271, 316, 6012, 332, 913, 314, 272, 14963, 815, 1073, 329, 290, 4878, 454, 2018, 10917, 289, 314, 28128, 290, 4878, 269, 1842, 305, 578, 6012, 28128, 290, 4878, 269, 1842, 8624, 316, 815, 7183, 454, 2018, 1073, 329, 290, 4878, 269, 1842, 305, 578, 815, 1847, 314 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4614, 1965, 1714, 562, 14243, 1067, 334, 632, 2083, 553, 679, 1714, 6446, 694, 554, 534, 844, 539, 5964, 17485, 4020, 2803, 630, 2869, 5451, 332, 728, 5609, 1035, 629, 541, 2567, 14307, 325, 10042, 994, 258, 20777, 32115, 6446, 1714, 721, 340, 9222, 21088, 533, 4240, 320, 1593, 322, 597, 562, 14243, 1067, 657, 454, 339, 787, 912, 453, 4565, 334, 13196, 25507, 9272, 2891, 300, 9508, 1714, 562, 14243, 1067, 334, 632, 11376, 13196, 281, 27328, 453, 6247, 745, 764, 542, 263, 4565, 334, 13196, 994, 21955, 912, 13537, 2891, 13286, 267, 21088, 694, 16153, 523, 562, 14243, 1067, 657, 5602, 0, 258, 290, 3195, 657, 796, 544, 18863, 29081, 16948, 1608, 4788, 1714, 791, 340, 652, 334, 1642, 3824, 637, 334, 1642, 721, 340, 9222, 454, 3698, 2301, 611, 7702, 16325, 2187, 453, 11069, 340, 652, 334, 284, 271, 454, 453, 258, 523, 1609, 324, 952, 2301, 32115, 1714, 791, 340, 652, 334, 23313, 754, 334, 2367, 528, 513, 476, 279, 4649, 2764, 454, 14851, 16325, 283, 279, 4649, 2764, 2187, 453, 453, 11069, 340, 652, 334, 284, 1037, 9230, 11133, 265, 271, 269, 1240, 9984, 4649, 277, 269, 273, 994, 453, 258, 523, 1609, 324, 3116, 2301, 32115, 1714, 791, 340, 652, 334, 23313, 754, 334, 25650, 513, 476, 279, 4649, 2764, 454, 28432, 912, 453, 453, 258, 20412, 32115, 1714, 608, 1417, 324, 586, 23313, 1965, 2367, 528, 513, 476, 271, 1232, 574, 657, 6446, 1965, 524, 3266, 454, 453, 453, 1410, 1027, 25366, 14352, 11133, 268, 279, 4649, 2764, 994, 453, 453, 11069, 340, 652, 334, 284, 1037, 9230, 1410, 1027, 25366, 265, 271, 269, 3953, 11924, 16825, 4375, 994, 453, 14851, 263, 11069, 340, 652, 334, 283, 271, 2187, 4848, 453, 11069, 340, 652, 334, 284, 271, 454, 16596, 791, 340, 652, 334, 454, 453, 258, 601, 791, 340, 652, 334, 3138, 32488, 32115, 2699, 1180, 1737, 334, 635, 334, 562, 657, 533, 728, 1714, 552, 329, 2075, 545, 1470, 454, 258, 20777, 32115, 6446, 21088, 694, 13849, 796, 562, 14243, 1067, 334, 1166, 582, 14397, 2953, 3512, 324, 454, 339, 787, 912, 453, 258, 532, 25564, 1714, 562, 14243, 1067, 334, 1166, 582, 14397, 1714, 721, 340, 9222, 454, 453, 532, 637, 334, 284, 15615, 9272, 2891, 28808, 516, 572, 1714, 562, 14243, 1067, 334, 281, 27328, 453, 258, 2865, 1090, 657, 1714, 1267, 5964, 11188, 20562, 718, 320, 454, 13537, 263, 20412, 611, 7702, 263, 532, 637, 334, 4917, 21955, 912, 13537, 2891, 13286, 267, 21088, 694, 16153, 523, 562, 14243, 1067, 657, 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 ]

[ 333, 602, 1142, 4062, 1058, 2951, 538, 14714, 788, 476, 277, 264, 2201, 1142, 7406, 267, 1039, 6152, 630, 291, 333, 2608, 966, 264, 547, 519, 2990, 540, 519, 1843, 269, 519, 1843, 786, 1847, 693, 6991, 966, 2059, 6152, 667, 333, 2476, 689, 519, 12473, 550, 516, 540, 519, 16411, 269, 901, 17648, 519, 16411, 568, 20085, 543, 519, 2604, 568, 14961, 7856, 269, 1280, 10565, 1198, 1946, 711, 281, 278, 264, 8073, 513, 1906, 5536, 543, 4019, 519, 1482, 6240, 286, 279, 264, 5269, 519, 1843, 17967, 676, 513, 4351, 2179, 538, 1079, 7852, 2864, 982, 476, 272, 286, 630, 1721, 476, 274, 323, 13502, 713, 5654, 607, 952, 789, 616, 15914, 538, 476, 274, 7852, 267, 1510, 519, 31484, 548, 264, 280, 264, 15233, 2842, 4187, 281, 9062, 966, 676, 476, 271, 269, 280, 1169, 2034, 269, 1879, 966, 568, 18481, 1507, 267, 3247, 519, 1843, 689, 3001, 269, 2690, 513, 476, 273, 323, 1062, 713, 2186, 540, 3364, 568, 782, 596, 991, 269, 1403, 596, 1616, 547, 1118, 513, 476, 274, 323, 11191, 267, 2119, 513, 6323, 2599, 269, 594, 6415, 4867, 1210, 744, 14701, 780, 1607, 1568, 1360, 1134, 585, 1018, 1775, 991, 267, 1775, 1175, 991, 547, 4137, 856, 513, 1259, 547, 1651, 528, 704, 622, 8904, 883, 519, 4542, 1775, 991, 519, 512, 675, 564, 547, 1847, 2509, 519, 2666, 267, 1775, 4312, 3893, 519, 2881, 4958, 10760, 909, 1210, 713, 4542, 855, 621, 2760, 7024, 2433, 264, 561, 565, 1775, 3513, 1294, 1018, 1775, 666, 798, 10372, 616, 7494, 15874, 780, 3412, 711, 1210, 513, 6323, 2599, 2094, 922, 513, 1507, 1788, 1775, 993, 1175, 1565, 2433, 2020, 7462, 9523, 593, 824, 4609, 692, 24836, 6143, 568, 606, 10231, 540, 1079, 3615, 2509, 1142, 824, 269, 1284, 666, 11716, 519, 2034, 1843, 630, 1492, 3618, 264, 1317, 922, 2527, 568, 865, 5458, 267, 543, 1175, 4019, 513, 3196, 547, 835, 1843, 630, 1492, 835, 538, 2243, 1040, 901, 568, 606, 7850, 3381, 3014, 19406, 540, 8904, 780, 763, 1505, 594, 946, 585, 713, 568, 2241, 563, 21163, 476, 271, 264, 1924, 596, 723, 707, 1843, 267, 609, 513, 3339, 2213, 3350, 4287, 667, 333, 269, 1411, 849, 723, 519, 6991, 966, 602, 519, 1843, 7575, 693, 780, 21163, 476, 272, 264, 6875, 519, 4287, 6152, 667, 333, 543, 9062, 621, 676, 966, 547, 1205, 519, 6152, 667, 1394, 780, 21163, 476, 273, 264, 6875, 519, 6152, 717, 267, 8204, 8904, 267, 7941, 621, 676, 519, 1297, 540, 14604, 829, 2034, 267, 543, 1039, 713, 547, 519, 1267, 269, 589, 1434, 1383, 568, 717, 14352, 271, 269, 271, 267, 910, 280, 269, 10037, 267, 476, 271, 269, 271, 8358, 325, 1186, 630, 24160, 264, 610, 717, 14352, 271, 269, 271, 267, 910, 272, 269, 277, 3374, 267, 476, 271, 269, 271, 8358, 325, 1186, 630, 1492, 7599, 267, 4083, 13612, 267, 814, 476, 272, 270, 277, 1274, 2195, 8904, 994, 19203, 9616, 602, 519, 1297, 540, 14604, 829, 2034, 568, 1271, 547, 1331, 538, 519, 8904, 6152, 267, 4946, 621, 2663, 568, 2484, 9875, 2094, 519, 1439, 1587, 540, 519, 3003, 9819, 568, 849, 5258, 676, 519, 9808, 1067, 622, 563, 734, 9616, 849, 602, 596, 666, 1039, 1927, 513, 3126, 540, 2825, 4229, 267, 971, 607, 2842, 267, 547, 713, 6152, 1354, 11173, 780, 21163, 476, 274, 264, 12433, 519, 3259, 540, 519, 1267, 543, 4558, 621, 538, 966, 267, 543, 556, 7538, 1047, 519, 6152, 543, 4558, 621, 538, 667, 333, 269, 3973, 3136, 519, 5690, 607, 829, 1250, 2063, 2022, 780, 333, 12500, 269, 594, 3533, 1205, 883, 513, 3190, 952, 594, 2119, 547, 1039, 3063, 4632, 547, 891, 9273, 269, 1924, 267, 952, 585, 1383, 596, 1616, 547, 7941, 966, 676, 519, 1297, 540, 14604, 829, 2034, 267, 4061, 4180, 602, 966, 4564, 4559, 829, 2034, 267, 798, 713, 16172, 1354, 3001, 519, 1843, 267, 2864, 982, 607, 851, 540, 519, 9273, 909, 547, 602, 1448, 269, 552, 3052, 1421, 692, 6570, 815, 2990, 1341, 630, 291, 333, 2608, 966, 32007, 2252, 596, 1616, 513, 6378, 9808, 1067, 622, 267, 946, 713, 538, 519, 3803, 9819, 1384, 6570, 815, 2990, 1341, 630, 291, 333, 2608, 966, 2608, 4626, 652, 788, 32007, 2252, 596, 1616, 547, 723, 513, 3432, 1852, 593, 519, 3014, 267, 946, 713, 1384, 6570, 815, 2990, 1341, 630, 291, 333, 2608, 966, 2608, 4626, 652, 788, 2608, 3432, 318, 26476, 32007, 663, 865, 593, 269, 8347, 547, 11753, 1346, 883, 519, 3105, 9273, 910, 7168, 2352, 780, 314, 10955, 1243, 676, 910, 2249, 4462, 4385, 593, 5988, 476, 278, 267, 476, 1220, 279, 476, 277, 281, 736, 281, 2918, 6751, 6540, 7462, 9523, 593, 824, 4609, 454, 296, 10950, 519, 15494, 540, 1022, 9073, 594, 723, 1500, 1934, 267, 2094, 594, 4769, 1405, 2628, 3007, 538, 6323, 1362, 543, 594, 1166, 6064, 539, 13004, 269, 901, 568, 513, 1062, 594, 723, 1031, 267, 543, 621, 1568, 780, 7462, 9523, 593, 824, 4609, 454, 2791, 262, 337, 1505, 1568, 13300, 585, 519, 8904, 4352, 1775, 1705, 723, 1932, 17408, 752, 930, 2418, 2433, 2020, 763, 1152, 1966, 1775, 6415, 2348, 1631, 568, 1775, 991, 547, 1847, 513, 1915, 1063, 1614, 610, 811, 1259, 9557, 267, 799, 1775, 666, 798, 267, 4352, 972, 568, 606, 8216, 2490, 3238, 267, 1775, 9364, 899, 519, 3197, 547, 2490, 7930, 15029, 3001, 2394, 789, 3068, 519, 5551, 4287, 267, 1775, 723, 2944, 713, 676, 3274, 15914, 519, 962, 7852, 547, 1118, 519, 1915, 3068, 519, 1448, 15029, 3001, 267, 713, 814, 835, 2721, 1394, 1498, 267, 519, 1915, 1223, 1439, 909, 3303, 16226, 1472, 513, 1259, 4812, 11014, 267, 568, 972, 1022, 824, 8925, 547, 1250, 1505, 2496, 7462, 9523, 593, 824, 4609, 454, 32621, 912, 22731, 2022, 676, 7083, 293, 718, 719, 2791, 262, 337, 1505, 1568, 13300, 585, 519, 8904, 4352, 1775, 1705, 723, 1932, 17408, 752, 930, 2418, 2433, 2020, 25898, 596, 2247, 10213, 803, 1018, 17408, 6545, 596, 1500, 543, 20171, 513, 3787, 540, 3009, 267, 2094, 594, 1705, 979, 547, 782, 602, 4674, 17511, 621, 856, 286, 898, 949, 948, 803, 5905, 909, 593, 1250, 1505, 269, 630, 296, 4749, 4363, 621, 547, 1250, 2828, 693, 1133, 328, 950, 789, 2307, 2147, 2055, 994, 32621, 912, 634, 1152, 1966, 1775, 6415, 2348, 1631, 568, 1775, 991, 547, 1847, 513, 1915, 1063, 1614, 610, 811, 1259, 9557, 267, 799, 1775, 666, 798, 267, 4352, 972, 568, 606, 8216, 2490, 3238, 267, 1775, 9364, 899, 519, 3197, 547, 2490, 7930, 15029, 3001, 2394, 789, 3068, 519, 5551, 4287, 267, 1775, 723, 2944, 713, 676, 3274, 15914, 519, 962, 7852, 547, 1118, 519, 1915, 3068, 519, 1448, 15029, 3001, 267, 713, 814, 835, 2721, 1394, 1498, 267, 519, 1915, 1223, 1439, 909, 3303, 16226, 1472, 513, 1259, 4812, 11014, 267, 568, 972, 1022, 824, 8925, 547, 1250, 1505, 2496, 6546, 1522, 4866, 538, 513, 5094, 8142, 267, 538, 519, 3642, 8468, 286, 7102, 3118, 267, 798, 596, 1611, 519, 3642, 12445, 9136, 286, 1403, 596, 10646, 1063, 3119, 543, 6281, 9136, 267, 596, 666, 723, 519, 1915, 3406, 3842, 3119, 9136, 267, 543, 2951, 2059, 6281, 9136, 267, 543, 723, 519, 6281, 9136, 946, 513, 2362, 1297, 540, 3515, 1472, 15174, 267, 2614, 865, 621, 5654, 5347, 269, 1411, 666, 849, 1683, 811, 1344, 593, 3197, 7180, 607, 789, 2097, 547, 513, 7944, 630, 7945, 607, 513, 6843, 1141, 789, 2015, 890, 1359, 5180, 519, 7944, 1354, 2469, 547, 519, 1985, 6843, 267, 2864, 982, 4881, 9420, 569, 5180, 543, 3478, 8929, 2020, 296, 4312, 711, 2944, 1022, 3642, 12445, 2943, 267, 855, 972, 616, 930, 7168, 4810, 1004, 538, 519, 14464, 11106, 8468, 780, 7462, 9523, 593, 824, 4609, 454, 5591, 1966, 267, 708, 2476, 689, 1250, 2780, 585, 513, 2370, 1247, 855, 607, 4166, 607, 1775, 1205, 1394, 267, 1775, 3513, 2022, 1250, 17408, 6545, 267, 4352, 972, 5631, 17408, 6545, 547, 3514, 707, 1505, 1472, 1250, 3009, 269, 898, 1058, 581, 2663, 14182, 22019, 707, 4064, 7790, 2433, 2020, 1892, 12693, 1548, 568, 707, 10794, 28319, 9452, 2496, 1103, 476, 1001, 280, 649, 616, 14120, 476, 736, 1296, 540, 10794, 28319, 14492, 256, 1109, 18704, 707, 10794, 28319, 9452, 609, 721, 780, 263, 2791, 1590, 21189, 547, 707, 10794, 28319, 14492, 2272, 24355, 1892, 476, 280, 454, 1892, 476, 1724, 454, 1892, 476, 280, 454, 1892, 476, 280, 454, 1892, 476, 1428, 454, 1892, 12693, 17072, 10803, 692, 1892, 11192, 11762, 454, 277, 4097, 5881, 277, 454, 1892, 11192, 24762, 454, 22145, 276, 3374, 274, 454, 9943, 0, 258, 9498, 692, 1892, 2904, 476, 2420, 526, 476, 1220, 279, 267, 476, 4962, 281, 1428, 6751, 454, 516, 17433, 454, 20412, 1807, 454, 288, 9498, 1522, 4159, 519, 2626, 547, 692, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 692, 553, 692, 274, 269, 3583, 274, 278, 661, 476, 1321, 692, 288, 264, 1548, 1281, 519, 26732, 4159, 1611, 888, 289, 264, 1548, 1344, 827, 519, 3070, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 666, 596, 3489, 689, 519, 9498, 781, 4159, 286, 2052, 596, 3313, 519, 3169, 2626, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 538, 8723, 8918, 10035, 286, 1946, 610, 1946, 711, 286, 666, 596, 3313, 875, 1082, 9704, 616, 538, 519, 8723, 8918, 6041, 540, 519, 1587, 476, 27898, 267, 27898, 267, 265, 277, 267, 26116, 267, 26116, 286, 11512, 780, 1892, 2904, 476, 2420, 526, 476, 1220, 279, 267, 476, 4962, 281, 2767, 6751, 454, 13043, 13231, 2764, 454, 32621, 1384, 23192, 17397, 676, 556, 17433, 454, 288, 9498, 1522, 4159, 519, 2626, 547, 692, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 692, 553, 692, 274, 269, 3583, 274, 278, 661, 476, 1321, 692, 288, 264, 1548, 1281, 519, 26732, 4159, 1611, 888, 289, 264, 1548, 1344, 827, 519, 3070, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 666, 596, 3489, 689, 519, 9498, 781, 4159, 286, 2052, 596, 3313, 519, 3169, 2626, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 538, 8723, 8918, 10035, 286, 1946, 610, 1946, 711, 286, 666, 596, 3313, 875, 1082, 9704, 616, 538, 519, 8723, 8918, 6041, 540, 519, 1587, 476, 27898, 267, 27898, 267, 265, 277, 267, 26116, 267, 26116, 286, 11512, 780, 296, 21645, 917, 1018, 621, 1797, 676, 3070, 269, 634, 1587, 540, 519, 1079, 2338, 2496, 553, 585, 519, 1101, 835, 1269, 274, 269, 3583, 274, 278, 292, 1321, 284, 274, 269, 3583, 274, 278, 24206, 346, 1015, 3867, 1321, 3686, 284, 24907, 24907, 1822, 1822, 271, 259, 607, 6719, 1862, 16341, 521, 580, 4453, 338, 1223, 723, 1044, 4503, 454, 1892, 2904, 476, 2537, 6113, 476, 1220, 279, 267, 476, 4962, 281, 6349, 7537, 454, 3712, 2421, 21497, 273, 454, 32621, 1384, 23192, 17397, 676, 556, 17433, 454, 288, 9498, 1522, 4159, 519, 2626, 547, 692, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 692, 553, 692, 274, 269, 3583, 274, 278, 661, 476, 1321, 692, 288, 264, 1548, 1281, 519, 26732, 4159, 1611, 888, 289, 264, 1548, 1344, 827, 519, 3070, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 666, 596, 3489, 689, 519, 9498, 781, 4159, 286, 2052, 596, 3313, 519, 3169, 2626, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 538, 8723, 8918, 10035, 286, 1946, 610, 1946, 711, 286, 666, 596, 3313, 875, 1082, 9704, 616, 538, 519, 8723, 8918, 6041, 540, 519, 1587, 476, 27898, 267, 27898, 267, 265, 277, 267, 26116, 267, 26116, 286, 11512, 780, 2791, 666, 3313, 547, 875, 2479, 1082, 9704, 616, 10268, 593, 519, 9498, 269, 1306, 4569, 6597, 6700, 267, 661, 1321, 1797, 1269, 265, 1015, 3867, 1321, 4151, 563, 1892, 2904, 476, 2537, 6113, 476, 1220, 279, 267, 476, 4962, 281, 1240, 7537, 454, 516, 17433, 454, 6546, 2306, 2631, 7064, 585, 8840, 621, 1524, 9087, 678, 1889, 454, 1892, 2904, 476, 2537, 6113, 476, 1220, 279, 267, 476, 4962, 281, 2918, 7537, 454, 5733, 1562, 454, 4692, 596, 3313, 519, 3169, 2626, 547, 476, 27898, 267, 27898, 265, 277, 267, 26116, 267, 26116, 538, 8723, 8918, 10035, 286, 1946, 610, 1946, 711, 2496, 2791, 666, 269, 2201, 930, 26732, 596, 666, 4188, 519, 1297, 540, 9704, 10268, 1354, 621, 4422, 883, 1414 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 25087, 267, 607, 789, 666, 581, 9268, 547, 9156, 3407, 6886, 971, 607, 524, 28240, 543, 19695, 563, 2414, 2327, 519, 2922, 9657, 540, 9075, 267, 26890, 16288, 2712, 2471, 519, 1857, 547, 4894, 873, 689, 5907, 3457, 543, 1747, 873, 538, 2027, 12871, 11149, 971, 607, 1346, 2139, 693, 519, 2754, 779, 7622, 3653, 543, 9657, 18013, 630, 295, 29949, 12336, 1916, 309, 324, 16288, 814, 476, 13647, 670, 29949, 12336, 538, 519, 5177, 563, 294, 822, 514, 3400, 1407, 517, 267, 10324, 13030, 7022, 693, 26890, 16288, 5177, 543, 8581, 267, 1767, 281, 968, 289, 19495, 14001, 11642, 616, 513, 3978, 543, 19890, 3395, 9651, 602, 26890, 16288, 568, 8396, 1154, 563, 2108, 4407, 11981, 707, 1007, 11418, 713, 1032, 267, 1118, 2386, 547, 1491, 1416, 950, 9657, 707, 2025, 3283, 563, 10527, 3328, 5177, 17055, 25001, 2476, 1472, 476, 2190, 269, 276, 11899, 540, 11418, 1169, 1032, 563, 2108, 4322, 2326, 267, 952, 5701, 5265, 267, 666, 581, 513, 10516, 547, 519, 4541, 267, 13059, 3407, 2200, 1394, 547, 581, 1031, 1586, 1107, 865, 649, 666, 267, 585, 1383, 267, 1847, 547, 3167, 6472, 811, 6385, 609, 1447, 1764, 689, 5599, 811, 2200, 1848, 0, 3682, 12723, 676, 1715, 2098, 7002, 6387, 6723, 23747, 267, 4303, 2775, 14205, 902, 630, 10193, 1634, 607, 14400, 5384, 264, 568, 519, 2259, 540, 14027, 519, 23234, 1282, 4832, 676, 606, 5662, 267, 865, 10543, 21765, 786, 2063, 3476, 676, 606, 5662, 267, 1247, 27531, 519, 2067, 3141, 23438, 2053, 269, 26023, 267, 621, 3340, 4025, 609, 4832, 547, 4188, 741, 23234, 4464, 476, 272, 5662, 607, 5614, 5956, 543, 1287, 4188, 873, 1394, 547, 3044, 942, 538, 519, 15489, 563, 1103, 519, 2475, 267, 1004, 723, 1044, 11287, 4303, 2775, 14205, 902, 585, 827, 513, 4627, 1296, 1631, 267, 609, 519, 6296, 9648, 7466, 513, 1032, 269, 4892, 3323, 8026, 519, 2856, 538, 519, 476, 866, 628, 2540, 1354, 5201, 2968, 13416, 267, 609, 519, 4128, 3297, 621, 5097, 3597, 532, 538, 9297, 267, 543, 711, 538, 1648, 5726, 269, 1306, 596, 666, 1294, 267, 621, 729, 5156, 602, 4946, 606, 5662, 540, 7943, 547, 519, 1554, 8992, 2362, 7607, 267, 607, 1004, 1131, 960, 3476, 543, 1131, 1287, 723, 811, 942, 1310, 519, 1554, 547, 6108, 741, 2724, 267, 1498, 713, 568, 1100, 3476, 519, 2013, 538, 891, 2413, 2053, 563, 30706, 2094, 4303, 2775, 14205, 902, 729, 1101, 5189, 267, 621, 814, 1044, 513, 1888, 540, 9840, 1141, 1004, 723, 1044, 19163, 2436, 610, 711, 519, 2856, 814, 7691, 922, 5551, 2360, 269, 1924, 267, 1946, 568, 621, 1869, 13736, 2221, 286, 1280, 513, 1134, 26455, 2626, 267, 1577, 721, 1491, 513, 1413, 693, 922, 5294, 543, 931, 1101, 563, 8266, 540, 18370, 540, 4303, 2775, 14205, 902, 454, 272, 269, 898, 12366, 3278, 2067, 21765, 563, 12024, 1018, 621, 729, 2944, 513, 2540, 3516, 267, 713, 2259, 568, 2944, 547, 1118, 519, 1034, 540, 519, 2067, 21765, 269, 901, 2856, 666, 1869, 581, 12913, 676, 17303, 26936, 519, 3141, 23438, 543, 519, 23863, 609, 942, 2242, 269, 1280, 513, 2603, 540, 1004, 267, 713, 2306, 621, 4443, 585, 873, 547, 798, 6640, 862, 1393, 610, 1205, 856, 543, 3635, 538, 519, 6640, 267, 711, 547, 2446, 602, 741, 1453, 786, 711, 693, 1153, 950, 621, 7140, 4158, 269, 901, 568, 2523, 25368, 547, 1346, 945, 1175, 3802, 547, 1153, 267, 543, 972, 616, 1100, 21772, 269, 769, 1840, 267, 930, 5359, 1397, 602, 621, 814, 5280, 2569, 2150, 578, 731, 2621, 1282, 519, 3108, 1141, 1004, 991, 547, 581, 856, 543, 827, 267, 799, 568, 1946, 14027, 519, 23234, 568, 9833, 676, 1082, 607, 513, 3106, 2268, 607, 1134, 563, 273, 269, 898, 2337, 2569, 10913, 563, 2026, 1004, 1131, 1205, 811, 3207, 267, 4303, 2775, 14205, 902, 568, 5963, 6225, 538, 513, 1259, 602, 621, 2337, 2061, 10913, 593, 519, 4155, 610, 693, 519, 5604, 267, 799, 666, 1267, 689, 1004, 3478, 13110, 1310, 741, 6521, 269, 1656, 607, 6808, 10913, 1419, 4755, 950, 621, 568, 4158, 267, 6236, 713, 2259, 1131, 1611, 602, 649, 786, 581, 2111, 547, 2972, 811, 1769, 585, 10543, 11479, 267, 13302, 10913, 543, 9494, 513, 8101, 1297, 540, 2729, 1169, 1032, 563, 274, 269, 898, 2636, 596, 547, 18359, 5201, 563, 6097, 547, 513, 476, 3192, 271, 338, 1353, 676, 519, 2475, 4972, 540, 18815, 267, 835, 2600, 540, 5201, 602, 729, 10057, 602, 1032, 729, 10710, 998, 713, 2259, 269, 3509, 4966, 3858, 602, 621, 2337, 1648, 5726, 563, 275, 269, 898, 6770, 827, 930, 1870, 5383, 563, 288, 2603, 540, 4213, 1336, 602, 4657, 942, 814, 5280, 873, 2333, 6455, 269, 901, 568, 2523, 3020, 585, 1346, 7722, 538, 9235, 267, 5026, 543, 10685, 269, 4340, 547, 873, 267, 741, 6455, 2799, 950, 519, 3108, 1310, 960, 941, 6905, 950, 1004, 941, 811, 20916, 547, 798, 930, 10918, 610, 1491, 851, 538, 16351, 2238, 563, 276, 269, 898, 568, 1434, 585, 519, 1072, 563, 303, 1886, 7859, 9244, 8044, 602, 4303, 2775, 14205, 902, 568, 1434, 585, 519, 1072, 267, 17548, 602, 952, 1004, 616, 2016, 811, 942, 1310, 960, 610, 1153, 538, 519, 21765, 267, 1287, 789, 786, 581, 9415, 547, 4497, 538, 8516, 2238, 267, 971, 607, 6972, 267, 28185, 3101, 543, 5026, 269, 2755, 891, 2238, 666, 581, 2944, 1510, 14577, 519, 9219, 267, 513, 1434, 6871, 540, 1004, 1131, 711, 4782, 621, 950, 621, 568, 4158, 563, 8266, 540, 3117, 540, 4303, 2775, 14205, 902, 454, 272, 269, 898, 3123, 1004, 547, 8532, 811, 3154, 563, 6097, 547, 7548, 693, 16515, 30835, 2160, 7812, 22337, 940, 267, 4303, 2775, 14205, 902, 666, 2333, 4616, 540, 3154, 267, 1247, 621, 568, 1767, 547, 948, 6175, 5201, 6165, 269, 1261, 1767, 602, 4758, 1004, 606, 3063, 5662, 540, 21765, 1131, 8300, 873, 547, 979, 547, 519, 32041, 610, 519, 3440, 335, 1046, 610, 519, 32041, 267, 543, 1082, 540, 891, 2043, 1131, 711, 3802, 267, 855, 5397, 269, 1656, 538, 713, 2413, 2085, 1141, 13829, 593, 8093, 10173, 568, 540, 1164, 6161, 267, 713, 2259, 568, 711, 7357, 6225, 269, 25392, 602, 1004, 616, 1210, 811, 3154, 267, 5103, 5969, 5201, 4616, 267, 621, 786, 1175, 581, 513, 4123, 11325, 543, 711, 2731, 606, 2949, 5413, 563, 273, 269, 898, 1281, 711, 2731, 948, 18359, 1648, 563, 5194, 1353, 676, 24192, 23718, 661, 269, 16827, 543, 15623, 808, 269, 918, 582, 7770, 538, 476, 1220, 279, 1336, 602, 267, 950, 782, 18518, 17521, 14661, 741, 23234, 896, 1533, 1876, 267, 972, 729, 513, 1390, 2333, 538, 5201, 4616, 1282, 519, 2887, 1317, 540, 1004, 2348, 547, 2490, 909, 741, 2011, 8410, 1288, 532, 1949, 811, 563, 274, 269, 898, 13514, 2591, 538, 942, 15209, 563, 10214, 538, 713, 1164, 24289, 2085, 267, 4657, 942, 1869, 3340, 2576, 547, 1118, 519, 1689, 267, 2436, 621, 568, 2944, 16924, 610, 609, 5752, 269, 3143, 2339, 875, 2043, 1413, 693, 621, 267, 1818, 2386, 519, 23234, 616, 14661, 568, 513, 1469, 547, 3314, 267, 799, 666, 581, 32462, 269, 901, 666, 849, 1860, 4213, 602, 1331, 7928, 21409, 543, 824, 942, 25259, 3157, 563, 275, 269, 898, 14907, 2125, 3207, 3270, 563, 15987, 621, 568, 1175, 606, 5662, 267, 1004, 1131, 1419, 2161, 875, 1454, 519, 942, 1689, 814, 4299, 873, 267, 3226, 741, 3207, 3270, 269, 901, 568, 2523, 3020, 1851, 3237, 609, 12256, 267, 20854, 543, 1453, 269, 25613, 16040, 267, 14027, 23234, 606, 5662, 814, 9090, 1831, 513, 3787, 540, 513, 31484, 548, 585, 3885, 563, 276, 269, 898, 666, 581, 13818, 585, 707, 1072, 563, 4407, 28288, 8044, 602, 513, 942, 6521, 568, 1434, 585, 519, 1072, 267, 17837, 1589, 6382, 269, 1306, 930, 1004, 2161, 602, 4303, 2775, 30540, 5384, 786, 2285, 721, 811, 6171, 667, 267, 1866, 849, 1448, 856, 602, 519, 4503, 5662, 540, 3207, 786, 2014, 1004, 547, 12483, 3362, 267, 799, 666, 2333, 519, 1981, 585, 2295, 6285, 543, 824, 3978, 2175, 563, 5472, 538, 782, 267, 519, 5294, 543, 931, 540, 4303, 2775, 14205, 902, 1131, 4268, 1759, 2390, 1367, 6381, 269, 4746, 267, 519, 4539, 4547, 827, 676, 519, 2259, 616, 1419, 3810, 11786, 543, 616, 711, 8209, 598, 5477, 269, 1924, 267, 593, 707, 1439, 267, 1131, 596, 899, 547, 3136, 11287, 4303, 2775, 14205, 902, 610, 711, 888, 301, 7614, 773, 3204, 10008, 267, 10507, 336, 269, 568, 519, 2278, 540, 713, 2022, 543, 519, 9375, 2987, 268, 27815, 540, 938, 5816, 269, 2701, 4607, 1200, 645, 6993, 269, 538, 13188, 689, 519, 2160, 540, 6115, 543, 1200, 27587, 538, 4521, 689, 634, 2160, 540, 7147, 3427, 540, 4521, 269, 769, 1840, 547, 1373, 513, 19023, 5856, 267, 715, 7614, 773, 814, 3592, 1079, 5756, 540, 1995, 607, 513, 15818, 543, 4871, 518, 269, 1403, 596, 1131, 899, 547, 3914, 856, 547, 3346, 715, 7614, 773, 267, 1287, 979, 1934, 547, 6494, 1200, 513, 5048, 269, 0, 529, 2147, 547, 855, 1454, 811, 7920, 982, 519, 5114, 547, 513, 588, 549, 2041, 8755, 689, 513, 8254, 610, 519, 8086, 540, 6505, 7943, 689, 513, 6885, 267, 2842, 3333, 1752, 610, 11604, 543, 621, 16569, 1454, 3476, 4799, 14503, 1662, 1202, 27383, 568, 849, 1634, 607, 8755, 21901, 269, 634, 1034, 1455, 1383, 568, 8755, 10344, 563, 299, 553, 619, 849, 949, 581, 1031, 585, 519, 18532, 3483, 540, 10151, 3308, 17522, 267, 799, 949, 581, 3361, 676, 3308, 1350, 732, 267, 8755, 21901, 267, 610, 1310, 2592, 563, 288, 12681, 1376, 1194, 676, 513, 8955, 8755, 543, 7092, 689, 8755, 21901, 454, 267, 585, 1383, 267, 949, 538, 30541, 1836, 31818, 610, 1689, 513, 8184, 781, 1576, 610, 6336, 3308, 8100, 563, 269, 1977, 4750, 540, 744, 20953, 17443, 267, 476, 2568, 267, 476, 31746, 268, 26392, 563, 3080, 12681, 5143, 7195, 11985, 827, 4967, 646, 1500, 1310, 2348, 513, 8955, 695, 821, 593, 1010, 8484, 281, 834, 14503, 1662, 21901, 454, 529, 513, 1981, 267, 855, 30411, 543, 17522, 693, 513, 2565, 1448, 896, 7920, 2566, 568, 513, 3463, 547, 1272, 3294, 563, 301, 520, 1157, 1287, 3964, 513, 8955, 8047, 547, 1382, 519, 2361, 267, 543, 8136, 3744, 1857, 1242, 519, 8594, 540, 8755, 21901, 454, 8619, 4310, 676, 22795, 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 ]

[ 0, 3698, 4017, 334, 3799, 2187, 825, 952, 562, 2525, 271, 281, 2132, 476, 271, 454, 825, 952, 562, 2525, 272, 281, 2132, 476, 272, 692, 825, 4017, 272, 815, 4017, 334, 3799, 268, 272, 994, 825, 4017, 273, 815, 4017, 334, 3799, 268, 273, 2020, 825, 2132, 4017, 272, 266, 325, 756, 273, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 6600, 756, 334, 263, 1015, 4297, 0, 337, 284, 9792, 263, 1015, 994, 2745, 16868, 994, 2745, 17338, 16868, 4917, 320, 284, 9792, 263, 272, 267, 1015, 994, 2745, 5416, 994, 2745, 17338, 5416, 4917, 345, 284, 9792, 263, 273, 267, 1015, 267, 273, 994, 2745, 18750, 994, 2745, 17338, 18750, 4917, 2745, 263, 1015, 538, 1990, 994, 2745, 263, 1015, 711, 538, 1990, 994, 2745, 263, 279, 538, 1990, 994, 2745, 263, 279, 711, 538, 1990, 994, 342, 284, 9792, 263, 273, 267, 1911, 267, 275, 994, 2745, 17338, 26028, 4297, 0, 258, 13138, 2969, 4456, 7728, 302, 16692, 18317, 4629, 306, 661, 12327, 4753, 383, 485, 383, 499, 2464, 910, 4888, 5588, 288, 383, 485, 383, 499, 2464, 623, 11286, 292, 476, 273, 692, 258, 2974, 18372, 19804, 2119, 635, 642, 5451, 686, 657, 4849, 781, 563, 339, 787, 912, 453, 320, 815, 703, 9272, 3488, 301, 10179, 11456, 281, 1412, 4917, 453, 321, 815, 703, 9272, 3488, 291, 523, 7631, 11456, 281, 1412, 4917, 453, 337, 815, 513, 1315, 536, 692, 258, 4107, 8681, 334, 2144, 4592, 1965, 24594, 657, 454, 21955, 630, 19368, 13286, 267, 7392, 13286, 2567, 1948, 22209, 516, 2385, 525, 525, 16948, 897, 665, 1301, 657, 642, 5451, 686, 657, 2144, 4592, 454, 13537, 3488, 307, 633, 21573, 19804, 1966, 320, 635, 15259, 9133, 657, 632, 546, 15606, 6446, 4938, 17845, 7857, 537, 269, 5073, 21955, 20023, 19667, 1707, 13286, 912, 13537, 3488, 301, 14244, 20527, 1502, 6403, 767, 3900, 597, 19804, 562, 14243, 1067, 334, 11188, 476, 271, 269, 5073, 21955, 6206, 4580, 11328, 4533, 912, 13537, 3488, 302, 721, 340, 5451, 26369, 4776, 21105, 340, 562, 14244, 1217, 541, 15259, 546, 15606, 269, 5073, 21955, 1401, 4003, 607, 2144, 549, 912, 13537, 6600, 262, 302, 2144, 549, 679, 4186, 2784, 334, 9087, 328, 2715, 518, 549, 14857, 322, 1021, 1029, 20467, 5073, 12828, 912, 13537, 6600, 262, 302, 1267, 5964, 9087, 328, 2715, 337, 15545, 273, 325, 348, 5073, 325, 3373, 912, 13537, 3488, 14157, 974, 5033, 2181, 256, 631, 3726, 334, 1073, 3419, 5964, 256, 5073, 0, 2745, 3488, 4499, 2525, 23370, 28425, 22473, 476, 6734, 815, 4499, 284, 5073, 18905, 10098, 19617, 3266, 815, 703, 9272, 3488, 14707, 924, 522, 6305, 10098, 562, 14243, 1067, 334, 281, 1412, 4917, 572, 326, 1495, 334, 19617, 3266, 815, 703, 9272, 3488, 14707, 924, 522, 5302, 1495, 334, 562, 14243, 1067, 334, 281, 1412, 4917, 2745, 3488, 288, 1474, 320, 20527, 281, 22207, 6305, 10098, 19617, 3266, 266, 572, 326, 1495, 334, 19617, 3266, 994, 0, 18411, 2750, 2075, 6403, 857, 334, 5124, 476, 9818, 281, 13056, 9809, 320, 19804, 1982, 320, 6446, 4557, 3873, 579, 2742, 1187, 23843, 9106, 3385, 535, 747, 320, 19572, 3097, 4302, 2256, 9346, 798, 529, 1612, 5889, 5471, 4592, 1566, 322, 542, 9820, 281, 522, 562, 727, 632, 19804, 28185, 11456, 552, 3067, 657, 575, 11169, 1605, 3097, 332, 2117, 537, 269, 744, 1982, 320, 632, 591, 5451, 1583, 1698, 1794, 632, 1034, 32057, 513, 535, 747, 320, 798, 28185, 11456, 267, 8544, 15879, 6446, 3097, 14607, 636, 546, 5964, 562, 14244, 4557, 3873, 521, 18480, 1217, 5964, 2323, 339, 3512, 324, 563, 18257, 692, 3698, 535, 747, 320, 3799, 727, 8782, 3299, 575, 11169, 284, 271, 2187, 13537, 3488, 268, 262, 2608, 476, 2412, 994, 14851, 562, 727, 2652, 1412, 12466, 453, 453, 333, 727, 815, 1412, 283, 9188, 935, 515, 322, 18480, 285, 7055, 14851, 575, 11169, 2652, 1412, 12466, 453, 453, 326, 11169, 815, 476, 271, 454, 13537, 6600, 262, 302, 28185, 11456, 2715, 333, 727, 348, 905, 345, 2715, 326, 11169, 348, 575, 565, 4433, 264, 1100, 4342, 701, 517, 6737, 269, 5073, 28768, 28768, 333, 727, 815, 1193, 9272, 3488, 301, 727, 798, 808, 690, 11456, 281, 1412, 26895, 29328, 4590, 326, 11169, 815, 1193, 9272, 3488, 301, 14243, 1067, 334, 632, 717, 11169, 281, 1412, 26895, 29328, 4590, 325, 747, 320, 3799, 727, 267, 575, 11169, 994, 0, 320, 815, 1496, 273, 267, 476, 274, 267, 476, 275, 267, 476, 278, 6540, 258, 589, 851, 597, 798, 4090, 334, 900, 6446, 28075, 783, 32115, 579, 2742, 30458, 14255, 856, 571, 267, 522, 9226, 524, 6319, 579, 2742, 14270, 320, 23843, 1303, 516, 1714, 553, 454, 258, 536, 815, 513, 692, 258, 744, 340, 694, 10937, 267, 1089, 320, 7369, 320, 23843, 1130, 518, 5451, 16948, 607, 5918, 553, 1592, 553, 630, 320, 552, 536, 994, 258, 536, 314, 273, 316, 815, 476, 279, 692, 258, 3474, 320, 535, 1794, 1069, 657, 579, 2742, 524, 6759, 335, 807, 632, 30458, 267, 721, 32115, 912, 321, 815, 513, 11468, 2639, 321, 314, 273, 316, 815, 476, 279, 692, 2745, 6600, 262, 8266, 320, 589, 281, 2715, 320, 348, 5073, 2745, 6600, 262, 8266, 320, 645, 281, 2715, 321, 348, 5073, 0, 258, 13138, 23177, 19489, 7246, 383, 485, 12728, 302, 16692, 31031, 5058, 306, 692, 325, 19189, 815, 1412, 10501, 810, 900, 11473, 5124, 7055, 2745, 6600, 19189, 18622, 2897, 3488, 23911, 3299, 1412, 4517, 5514, 262, 4297, 1948, 27802, 527, 14241, 579, 2742, 5493, 822, 571, 11188, 856, 571, 454, 2745, 6600, 19189, 269, 21639, 28829, 1948, 1546, 1460, 320, 513, 9992, 848, 547, 6767, 900, 26480, 20784, 8016, 298, 267, 631, 9590, 4785, 290, 308, 6369, 563, 2745, 6600, 19189, 31573, 28829, 1948, 1546, 1460, 320, 513, 9992, 848, 547, 6767, 900, 14263, 1529, 320, 454, 2745, 6600, 19189, 269, 5115, 1388, 1125, 28829, 1948, 5719, 1460, 320, 547, 323, 657, 15259, 1286, 716, 31013, 900, 14263, 1529, 657, 267, 635, 608, 576, 23843, 798, 6305, 10098, 267, 6446, 535, 545, 541, 5451, 544, 2967, 639, 1529, 334, 454, 2745, 6600, 19189, 26644, 28829, 1948, 5719, 1460, 320, 547, 323, 553, 607, 6305, 597, 553, 1577, 6652, 632, 524, 3385, 5493, 822, 571, 900, 544, 2967, 639, 1529, 334, 454, 325, 19189, 273, 815, 1412, 825, 589, 2181, 24229, 5124, 567, 1412, 454, 2745, 6600, 19189, 273, 994, 2745, 6600, 19189, 273, 14714, 8692, 28829, 1948, 1427, 4275, 15259, 1965, 11985, 9809, 657, 964, 928, 947, 5451, 686, 657, 454, 2745, 6600, 19189, 273, 25331, 29328, 28829, 1948, 1427, 4275, 15259, 1965, 11985, 9809, 657, 964, 928, 947, 926, 657, 798, 1318, 267, 561, 5964, 25680, 17010, 454, 2745, 6600, 19189, 273, 7456, 29328, 28829, 1948, 1427, 4275, 15259, 1965, 11985, 9809, 657, 964, 928, 947, 926, 657, 798, 2451, 267, 561, 5964, 1965, 20960, 4777, 454, 0, 18411, 13052, 4932, 12195, 302, 16692, 674, 7419, 383, 485, 12728, 302, 454, 18411, 3698, 13274, 3873, 10031, 13537, 3488, 15871, 262, 2608, 476, 1789, 9239, 28768, 28768, 28768, 258, 1234, 1260, 12629, 5498, 6446, 533, 2544, 476, 273, 13274, 13757, 16948, 3021, 541, 607, 1187, 9809, 383, 369, 525, 798, 1982, 320, 9030, 454, 258, 5358, 320, 25867, 454, 4802, 3873, 4590, 2745, 3488, 453, 453, 4338, 305, 2894, 6395, 623, 312, 8025, 2177, 5073, 4802, 3873, 4590, 2745, 3488, 453, 453, 303, 312, 8025, 2177, 27878, 700, 9680, 3201, 5073, 4802, 3873, 4590, 2745, 3488, 453, 453, 303, 3633, 4629, 5073, 4802, 3873, 4590, 0, 258, 570, 18649, 8913, 680, 320, 20527, 1303, 516, 2385, 525, 525, 454, 17427, 3832, 815, 18011, 295, 27304, 21838, 3299, 1412, 306, 1075, 334, 3299, 1412, 303, 14040, 3299, 1412, 303, 644, 574, 3299, 1412, 289, 520, 1092, 535, 761, 320, 17210, 258, 7179, 18372, 512, 30186, 632, 812, 324, 4275, 1418, 714, 3385, 630, 302, 6113, 655, 620, 325, 629, 18863, 3821, 994, 2745, 4433, 9285, 10857, 534, 3832, 4297, 1948, 3674, 810, 562, 7776, 16095, 320, 522, 1609, 5964, 2067, 13005, 642, 7559, 767, 267, 3284, 523, 553, 16095, 320, 14255, 3520, 320, 632, 1820, 541, 692, 258, 631, 2033, 4275, 804, 5451, 1087, 3821, 454, 1721, 635, 5866, 538, 26816, 3832, 912, 13537, 6600, 262, 292, 340, 642, 537, 635, 518, 2715, 1260, 5866, 348, 9538, 2020, 258, 2974, 18372, 522, 2039, 454, 1721, 733, 538, 2039, 263, 271, 267, 7003, 10857, 534, 3832, 15892, 13537, 6600, 262, 292, 340, 642, 537, 635, 518, 2715, 17427, 3832, 314, 4186, 316, 348, 14255, 1064, 328, 23843, 2715, 4186, 348, 17210, 258, 570, 308, 12195, 3008, 590, 12728, 302, 22558, 7473, 383, 479, 12717, 3041, 454, 258, 26816, 3832, 314, 272, 316, 815, 1412, 8269, 3419, 518, 14397, 262, 4959, 12569, 19364, 302, 12327, 8780, 292, 267, 16843, 383, 479, 667, 2752, 18317, 4629, 780, 258, 2974, 18372, 513, 642, 7559, 767, 11003, 320, 454, 1721, 1064, 267, 635, 5866, 538, 26246, 10857, 534, 3832, 2187, 13537, 6600, 262, 292, 340, 642, 537, 635, 518, 2715, 1260, 5866, 348, 14255, 1064, 328, 23843, 2715, 1842, 348, 5073, 2745, 3488, 4467, 328, 544, 3726, 334, 256, 5073, 0, 258, 11536, 4596, 17269, 16692, 966, 2752, 8656, 12717, 3041, 692, 3698, 1449, 324, 10031, 453, 29514, 1535, 454, 453, 343, 815, 476, 279, 1948, 10497, 320, 642, 7559, 767, 521, 6759, 2291, 324, 14255, 1187, 23843, 1449, 324, 552, 562, 7776, 1100, 1982, 320, 9030, 269, 630, 18739, 17269, 700, 8016, 3201, 994, 13537, 6600, 262, 27845, 1187, 23843, 1449, 324, 267, 834, 333, 257, 1130, 324, 2715, 333, 20467, 5073, 13537, 6600, 262, 27845, 1187, 23843, 1449, 324, 267, 834, 343, 257, 1130, 324, 2715, 343, 20467, 5073, 453, 692, 258, 25284, 320, 25867, 454, 333, 815, 476, 273, 1948, 808, 5451, 513, 642, 7559, 767, 562, 267, 30775, 542, 320, 1100, 1982, 320, 9030, 552, 14255, 1187, 23843, 1449, 324, 269, 630, 18739, 17269, 23834, 15477, 3201, 994, 2745, 6600, 262, 5591, 1982, 320, 9030, 267, 834, 333, 257, 1130, 324, 2715, 333, 20467, 5073, 11687, 324, 10797, 258, 303, 4673, 513, 642, 7559, 767, 1535, 30775, 542, 541, 1100, 1965, 19817, 334, 2518, 267, 632, 557, 21573, 721, 541, 513, 5493, 822, 571, 8264, 3385, 834, 29514, 2580, 14255, 1187, 23843, 267, 1884, 525, 13005, 642, 7559, 767, 454, 2745, 6600, 262, 5591, 1982, 320, 9030, 267, 834, 343, 257, 1130, 324, 2715, 343, 20467, 5073 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 623, 269, 10390, 4083, 18922, 547, 744, 3436, 623, 269, 1924, 649, 666, 1294, 602, 2901, 594, 610, 4083, 666, 581, 3020, 780, 8923, 3314, 602, 538, 971, 2055, 9881, 363, 630, 2254, 811, 982, 264, 568, 1482, 607, 18016, 267, 543, 9881, 362, 630, 2254, 1447, 982, 264, 568, 1482, 607, 21759, 780, 2162, 7726, 476, 274, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 18725, 1797, 2473, 815, 962, 454, 273, 269, 2340, 488, 499, 1797, 2473, 18016, 962, 454, 274, 269, 18529, 1797, 2473, 9881, 362, 630, 2254, 1447, 982, 264, 962, 454, 275, 269, 18494, 1797, 2473, 2999, 962, 454, 276, 269, 6543, 479, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 715, 18529, 744, 282, 744, 6543, 479, 623, 282, 623, 18529, 1627, 16963, 3519, 7501, 1384, 272, 269, 744, 18494, 715, 454, 273, 269, 715, 18725, 744, 454, 288, 692, 18485, 594, 543, 4083, 616, 3020, 780, 289, 692, 21671, 3932, 4083, 568, 3020, 780, 290, 692, 21671, 3932, 594, 568, 3020, 780, 291, 692, 32355, 594, 610, 4083, 666, 581, 3020, 780, 22069, 333, 563, 9172, 281, 546, 692, 763, 6898, 666, 581, 12261, 547, 715, 21759, 744, 3436, 623, 21759, 1627, 269, 10390, 594, 18922, 547, 744, 2999, 715, 269, 10390, 4083, 18922, 547, 715, 815, 744, 269, 1924, 649, 666, 1294, 602, 2901, 594, 610, 4083, 666, 581, 3020, 780, 8923, 3314, 602, 538, 971, 2055, 9881, 363, 630, 2254, 811, 982, 264, 568, 1482, 607, 18016, 267, 543, 9881, 362, 630, 2254, 1447, 982, 264, 568, 1482, 607, 21759, 780, 2162, 7726, 476, 275, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 19926, 1797, 2473, 815, 962, 454, 273, 269, 3852, 358, 1797, 2473, 18016, 962, 454, 274, 269, 18494, 1797, 2473, 21759, 962, 454, 275, 269, 20734, 1797, 2473, 2999, 962, 454, 276, 269, 2340, 488, 501, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 700, 20734, 631, 282, 631, 19926, 715, 282, 715, 19926, 744, 282, 744, 2340, 488, 501, 623, 16963, 3519, 7501, 1384, 272, 269, 744, 2340, 488, 501, 700, 454, 273, 269, 623, 2340, 488, 501, 700, 454, 274, 269, 700, 19926, 715, 692, 7617, 540, 519, 1657, 8753, 568, 270, 732, 3020, 2496, 288, 692, 296, 1152, 780, 289, 692, 18485, 594, 543, 4083, 780, 290, 692, 2862, 1152, 780, 291, 692, 7656, 1152, 780, 22069, 333, 563, 9172, 281, 513, 692, 763, 6898, 666, 581, 12261, 547, 700, 2999, 631, 815, 715, 815, 744, 3436, 623, 780, 763, 8753, 14377, 547, 1384, 272, 269, 744, 3436, 700, 263, 12148, 994, 273, 269, 623, 3436, 700, 263, 16178, 994, 274, 269, 700, 815, 715, 263, 16178, 2020, 2162, 7726, 476, 276, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 3980, 495, 1797, 2473, 815, 962, 454, 273, 269, 18529, 1797, 2473, 18016, 962, 454, 274, 269, 3852, 497, 1797, 2473, 21759, 962, 454, 275, 269, 3852, 508, 1797, 2473, 2999, 962, 454, 276, 269, 3852, 358, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 570, 3980, 495, 772, 282, 772, 3980, 495, 966, 282, 966, 3852, 358, 654, 282, 654, 3852, 358, 2473, 16963, 3519, 7501, 1384, 272, 269, 654, 3852, 508, 570, 454, 273, 269, 570, 3852, 358, 2473, 454, 274, 269, 966, 3852, 508, 570, 692, 7617, 540, 519, 1657, 8753, 568, 270, 732, 3020, 2496, 288, 692, 18485, 594, 543, 8633, 780, 289, 692, 296, 1152, 780, 290, 692, 2862, 1152, 780, 291, 692, 7656, 1152, 780, 22069, 333, 563, 9172, 281, 513, 692, 763, 6898, 666, 581, 12261, 547, 570, 815, 772, 815, 966, 3436, 654, 3436, 2473, 780, 763, 8753, 14377, 547, 1384, 272, 269, 654, 2999, 570, 263, 12148, 994, 273, 269, 570, 3436, 2473, 263, 16178, 994, 274, 269, 966, 2999, 570, 263, 12148, 264, 0, 258, 4208, 1281, 6007, 17626, 15393, 4276, 4249, 513, 1909, 2496, 17098, 2336, 296, 1175, 10805, 607, 594, 723, 1044, 11842, 3833, 513, 1247, 827, 513, 1808, 2243, 602, 8057, 538, 1250, 2212, 1247, 2542, 827, 11418, 538, 1153, 563, 2026, 594, 723, 19927, 6453, 568, 513, 3017, 538, 1761, 269, 1924, 952, 649, 723, 513, 476, 280, 309, 6007, 972, 568, 513, 3017, 540, 476, 280, 309, 1063, 519, 1079, 18635, 540, 519, 6007, 269, 594, 666, 1174, 602, 543, 594, 666, 1174, 602, 952, 594, 1921, 513, 5911, 547, 519, 1079, 18635, 1287, 9211, 786, 17464, 2536, 689, 835, 15393, 547, 519, 824, 269, 769, 1249, 594, 6836, 602, 856, 543, 519, 6007, 3893, 3833, 3905, 4433, 639, 1051, 1317, 540, 9939, 540, 4187, 284, 14683, 1699, 286, 1916, 12179, 3118, 1250, 2243, 568, 952, 596, 723, 476, 273, 971, 9075, 543, 596, 1921, 519, 25962, 15393, 540, 835, 6007, 547, 519, 25023, 15393, 540, 519, 824, 6007, 1946, 1810, 1405, 519, 9211, 2095, 286, 769, 1250, 2212, 519, 3017, 540, 1761, 568, 519, 1482, 269, 1809, 538, 2259, 602, 1175, 3085, 1405, 4755, 269, 4208, 888, 27745, 2576, 2491, 803, 538, 513, 711, 1932, 7294, 1259, 286, 8729, 538, 740, 333, 9330, 692, 5591, 835, 26042, 303, 603, 1731, 657, 4330, 602, 609, 513, 476, 280, 309, 6007, 972, 568, 513, 3017, 538, 1761, 540, 476, 280, 309, 543, 713, 3017, 568, 1063, 519, 1079, 18635, 540, 519, 6007, 269, 2691, 519, 1079, 9075, 616, 4448, 1927, 607, 4330, 519, 1079, 4448, 18635, 3914, 519, 1482, 1761, 855, 1142, 6007, 14384, 1869, 15387, 513, 19073, 540, 476, 280, 309, 2066, 922, 23525, 1818, 513, 2698, 19073, 540, 476, 1240, 309, 689, 835, 796, 8588, 15393, 547, 519, 824, 855, 476, 271, 309, 1063, 519, 4448, 18635, 780, 22115, 454, 5591, 835, 26042, 763, 14724, 1259, 585, 596, 547, 1174, 713, 1131, 581, 602, 596, 991, 513, 6806, 8520, 538, 1931, 547, 1205, 9823, 1699, 547, 2095, 780, 763, 14724, 1259, 585, 596, 547, 1174, 713, 1131, 581, 602, 596, 991, 513, 6806, 8520, 538, 1931, 547, 1205, 9823, 1699, 547, 2095, 780, 5804, 1250, 1620, 540, 519, 3312, 2243, 594, 1589, 623, 603, 1731, 657, 6785, 602, 513, 2347, 5547, 729, 2877, 543, 646, 6785, 602, 585, 513, 1699, 547, 2095, 513, 1761, 3017, 568, 2877, 269, 3891, 729, 679, 638, 3931, 827, 1946, 972, 568, 1100, 1699, 2095, 950, 519, 1079, 6007, 18635, 616, 4448, 972, 1373, 1018, 646, 2219, 729, 606, 7805, 19073, 1063, 1346, 18635, 780, 263, 2252, 972, 568, 606, 3355, 19073, 1022, 2095, 786, 581, 5618, 4742, 4642, 950, 519, 1761, 3160, 2478, 2020, 303, 603, 1731, 657, 4330, 602, 609, 513, 476, 280, 309, 6007, 972, 568, 513, 3017, 538, 1761, 540, 476, 280, 309, 543, 713, 3017, 568, 1063, 519, 1079, 18635, 540, 519, 6007, 269, 2691, 519, 1079, 9075, 616, 4448, 1927, 607, 4330, 519, 1079, 4448, 18635, 3914, 519, 1482, 1761, 855, 1142, 6007, 14384, 1869, 15387, 513, 19073, 540, 476, 280, 309, 2066, 922, 23525, 1818, 513, 2698, 19073, 540, 476, 1240, 309, 689, 835, 796, 8588, 15393, 547, 519, 824, 855, 476, 271, 309, 1063, 519, 4448, 18635, 780, 28989, 855, 1775, 1810, 1405, 14183, 609, 2712, 2626, 2336, 3698, 710, 540, 5292, 339, 568, 9305, 547, 3196, 540, 606, 1528, 10078, 3364, 602, 7903, 606, 824, 1528, 10078, 3364, 543, 476, 271, 309, 2495, 3196, 547, 7903, 606, 824, 1528, 10078, 3364, 547, 1360, 2484, 563, 1103, 713, 2013, 519, 1528, 10078, 3364, 568, 538, 1106, 540, 3114, 5114, 2529, 334, 602, 952, 972, 781, 513, 476, 280, 309, 6007, 602, 1611, 966, 263, 266, 335, 1961, 264, 910, 966, 8987, 335, 1961, 264, 815, 476, 280, 309, 18092, 2680, 952, 18635, 593, 5094, 9075, 952, 596, 1921, 22791, 335, 1961, 264, 547, 11196, 335, 1961, 264, 6475, 1590, 3001, 18092, 972, 781, 1590, 930, 1699, 4586, 296, 1589, 519, 2626, 568, 2433, 2014, 540, 18635, 593, 5094, 9075, 865, 602, 3114, 5114, 786, 5949, 538, 1360, 2110, 942, 543, 1287, 1648, 540, 3114, 5114, 711, 2614, 547, 1491, 811, 6475, 630, 28700, 6475, 3738, 689, 18635, 269, 3719, 11196, 264, 18635, 1631, 814, 5595, 540, 1863, 6475, 269, 7474, 1018, 594, 7058, 865, 692, 577, 10174, 454, 1805, 3530, 9622, 7978, 454, 20112, 16588, 454, 303, 603, 1731, 657, 10484, 8702, 547, 21668, 256, 589, 5714, 21658, 786, 948, 1934, 269, 6056, 540, 1142, 6007, 607, 513, 1507, 6802, 602, 15387, 4010, 476, 280, 309, 540, 834, 12304, 675, 257, 1063, 922, 3403, 22791, 264, 543, 3977, 11196, 264, 23525, 780, 2691, 596, 1921, 1079, 15450, 1927, 538, 3126, 267, 1018, 4523, 286, 4256, 12503, 1039, 269, 634, 1101, 835, 7472, 476, 280, 309, 540, 2604, 267, 543, 519, 1985, 835, 3217, 602, 543, 25242, 621, 1776, 476, 280, 309, 269, 634, 3977, 1131, 581, 476, 1240, 309, 2362, 538, 2604, 982, 519, 3403, 780, 268, 25303, 692, 28989, 855, 1775, 1810, 1405, 14183, 609, 2712, 2626, 2336, 3698, 710, 540, 5292, 339, 568, 9305, 547, 3196, 540, 606, 1528, 10078, 3364, 602, 7903, 606, 824, 1528, 10078, 3364, 543, 476, 271, 309, 2495, 3196, 547, 7903, 606, 824, 1528, 10078, 3364, 547, 1360, 2484, 563, 1103, 713, 2013, 519, 1528, 10078, 3364, 568, 538, 1106, 540, 3114, 5114, 2529, 334, 602, 952, 972, 781, 513, 476, 280, 309, 6007, 602, 1611, 966, 263, 266, 335, 1961, 264, 910, 966, 8987, 335, 1961, 264, 815, 476, 280, 309, 18092, 2680, 952, 18635, 593, 5094, 9075, 952, 596, 1921, 22791, 335, 1961, 264, 547, 11196, 335, 1961, 264, 6475, 1590, 3001, 18092, 972, 781, 1590, 930, 1699, 4586, 296, 1589, 519, 2626, 568, 2433, 2014, 540, 18635, 593, 5094, 9075, 865, 602, 3114, 5114, 786, 5949, 538, 1360, 2110, 942, 543, 1287, 1648, 540, 3114, 5114, 711, 2614, 547, 1491, 811, 6475, 630, 28700, 6475, 3738, 689, 18635, 269, 3719, 11196, 264, 18635, 1631, 814, 5595, 540, 1863, 6475, 269, 7474, 1018, 594, 7058, 865, 692, 15916, 5100, 344, 2676, 8855, 602, 513, 6007, 568, 1500, 540, 2281, 4448, 1927, 269, 7197, 1286, 9075, 723, 3670, 2281, 538, 3126, 543, 952, 972, 729, 513, 1761, 3017, 1063, 11105, 4448, 18635, 14768, 1131, 2095, 543, 519, 6007, 1131, 4166, 2196, 1524, 1256, 950, 711, 4448, 547, 606, 5007, 5547, 269, 6546, 3085, 1405, 4755, 28560, 594, 1174, 596, 7157, 594, 1589, 596, 616, 11021, 602, 513, 811, 2143, 7778, 1131, 2015, 519, 7998, 540, 9075, 543, 952, 602, 568, 519, 2013, 594, 1589, 594, 3858, 609, 596, 269, 19013, 594, 798, 711, 917, 2614, 827, 519, 7998, 540, 9075, 547, 1118, 1022, 5483, 8292, 780, 338, 2684, 773, 1417, 4768, 454, 20112, 16588, 454, 14157, 5653, 568, 519, 6052, 2016, 547, 513, 1770, 5279, 269, 1703, 568, 513, 14965, 21658, 269, 1403, 594, 6749, 513, 17200, 689, 513, 1101, 6989, 6885, 630, 7474, 781, 519, 835, 1657, 519, 2666, 6989, 910, 585, 519, 19160, 540, 938, 2475, 3988, 1070, 621, 786, 798, 513, 1978, 2179, 540, 3441, 950, 621, 16125, 519, 2666, 269, 1403, 594, 979, 547, 519, 2034, 6989, 6885, 267, 519, 17200, 786, 798, 7466, 607, 1454, 3441, 593, 8757, 519, 2666, 269, 1403, 594, 6749, 621, 689, 519, 2034, 6989, 543, 621, 3338, 593, 519, 1101, 6989, 2545, 935, 344, 267, 621, 786, 798, 519, 1482, 3441, 607, 538, 519, 1101, 2013, 269, 898, 781, 782, 513, 2339, 540, 519, 16338, 538, 15627, 543, 711, 519, 1412, 11274, 5193, 4463, 23823, 10376, 8184, 540, 3268, 594, 979, 909, 8591, 547, 519, 3400, 13901, 15783, 6052, 594, 2285, 519, 17200, 269, 3962, 8426, 596, 1039, 538, 3126, 547, 513, 6007, 3947, 519, 10997, 513, 3787, 540, 3063, 1648, 563, 289, 2660, 625, 1152, 1577, 1699, 856, 540, 741, 1341, 23525, 543, 883, 741, 910, 23525, 865, 789, 786, 711, 1683, 606, 4835, 2619, 585, 1699, 689, 519, 9075, 2901, 2427, 547, 11166, 998, 873, 269, 634, 1341, 12363, 786, 711, 1577, 979, 540, 1022, 9211, 282, 621, 781, 1932, 11112, 1178, 25290, 873, 543, 11319, 873, 1524, 3330, 519, 6007, 950, 621, 666, 269, 634, 1699, 814, 547, 2095, 1472, 519, 5007, 5547, 2619, 543, 998, 519, 4452, 780, 4131, 781, 2161, 596, 723, 476, 273, 9075, 269, 3962, 835, 814, 476, 272, 269, 276, 309, 563, 763, 3114, 6547, 3330, 519, 6007, 666, 1152, 1847, 9211, 689, 1341, 547, 910, 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 ]

[ 12223, 274, 269, 476, 30019, 267, 476, 25851, 267, 476, 20862, 267, 12223, 267, 476, 31816, 12223, 275, 269, 476, 1911, 267, 476, 1220, 267, 476, 4968, 267, 476, 6110, 267, 12223, 12223, 276, 269, 476, 8517, 267, 476, 12010, 267, 21718, 267, 476, 272, 476, 1911, 267, 476, 272, 476, 1220, 12223, 277, 269, 476, 274, 476, 1220, 267, 476, 274, 476, 4968, 267, 476, 274, 476, 6110, 267, 30269, 267, 476, 274, 476, 7785, 12223, 278, 269, 476, 272, 476, 1822, 267, 476, 273, 476, 1822, 267, 30269, 267, 476, 275, 476, 1822, 267, 476, 276, 476, 1822, 12223, 279, 269, 476, 275, 476, 1822, 267, 476, 276, 476, 1822, 267, 30269, 267, 476, 278, 476, 1822, 267, 476, 279, 476, 1822, 1548, 2262, 568, 4646, 286, 23084, 13090, 476, 273, 269, 5623, 5620, 10453, 11291, 14921, 476, 273, 1700, 547, 476, 274, 1700, 323, 13424, 2338, 676, 23385, 540, 476, 1015, 338, 543, 476, 1911, 338, 269, 11910, 593, 15321, 10453, 547, 4194, 519, 1739, 5751, 593, 519, 4604, 269, 513, 269, 476, 1015, 1535, 476, 4097, 815, 536, 269, 476, 1911, 1535, 476, 6321, 278, 815, 524, 269, 476, 2004, 1535, 476, 6321, 815, 546, 269, 476, 4968, 1535, 476, 26839, 815, 552, 269, 476, 3583, 1535, 476, 10602, 815, 645, 269, 25833, 11242, 476, 272, 269, 10558, 532, 519, 7689, 5403, 519, 1966, 593, 519, 4604, 269, 1677, 16436, 5561, 267, 27493, 8111, 21466, 3947, 476, 272, 476, 1822, 10918, 2798, 585, 1169, 6718, 540, 476, 272, 6292, 540, 10887, 269, 1215, 1082, 2798, 786, 596, 1205, 952, 596, 4444, 476, 275, 8424, 286, 14572, 519, 1966, 912, 1892, 476, 5908, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 5908, 1109, 5231, 8827, 476, 272, 281, 1635, 7368, 1840, 476, 272, 476, 1822, 1341, 476, 272, 476, 1822, 1341, 476, 272, 476, 1822, 1341, 476, 272, 476, 1822, 815, 476, 275, 476, 1822, 2798, 8827, 476, 273, 281, 1635, 5564, 28745, 476, 272, 476, 1822, 1535, 476, 275, 476, 275, 476, 1822, 8074, 281, 25092, 519, 1875, 25179, 7857, 1287, 24509, 519, 1297, 540, 21325, 538, 519, 1587, 269, 476, 273, 269, 27400, 519, 11314, 11910, 593, 15321, 10453, 547, 4194, 519, 1739, 5751, 593, 519, 4604, 267, 543, 1287, 2491, 741, 3435, 547, 519, 1362, 269, 476, 272, 264, 476, 272, 476, 1822, 476, 273, 264, 476, 272, 476, 1822, 476, 274, 264, 476, 272, 476, 1822, 476, 275, 264, 476, 272, 476, 1822, 476, 276, 264, 476, 272, 476, 1822, 1535, 476, 273, 1535, 476, 279, 1535, 476, 736, 1535, 476, 3953, 1535, 476, 866, 476, 274, 269, 14409, 519, 11314, 9105, 930, 10453, 547, 1397, 741, 960, 538, 1362, 269, 2913, 873, 2491, 741, 4267, 269, 1401, 4624, 4267, 689, 10453, 281, 1284, 3773, 2185, 476, 272, 476, 1822, 338, 547, 1205, 519, 2626, 269, 1284, 16611, 476, 272, 476, 1822, 676, 476, 273, 547, 1205, 519, 2626, 269, 22716, 1125, 519, 1739, 281, 1677, 9062, 476, 273, 547, 476, 274, 18251, 2338, 676, 476, 272, 476, 1822, 267, 9062, 519, 1875, 25179, 7857, 1101, 267, 543, 1287, 24509, 21325, 538, 519, 1587, 269, 476, 275, 269, 22365, 1721, 1424, 519, 10417, 2913, 519, 10453, 1404, 968, 11321, 25070, 476, 272, 476, 1822, 5608, 513, 3014, 827, 14921, 2338, 676, 476, 272, 476, 1822, 269, 6828, 519, 1362, 609, 4557, 2818, 1142, 269, 2290, 540, 519, 2818, 540, 519, 1895, 786, 1796, 538, 4395, 269, 18044, 476, 272, 547, 476, 273, 18251, 1297, 799, 519, 10453, 786, 9062, 547, 476, 272, 476, 1822, 269, 634, 1101, 20194, 547, 2328, 519, 2953, 2626, 593, 519, 4604, 4927, 581, 2016, 476, 1911, 2798, 269, 634, 1101, 1895, 547, 18645, 476, 272, 476, 1822, 2798, 786, 581, 519, 16771, 269, 12726, 476, 272, 268, 547, 476, 273, 18251, 2338, 281, 476, 2537, 476, 275, 476, 1015, 476, 2190, 476, 4792, 476, 7761, 476, 274, 476, 2537, 476, 2767, 476, 5655, 476, 2412, 476, 278, 454, 1892, 476, 6942, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 6942, 1109, 5231, 2913, 519, 10453, 798, 811, 5751, 269, 5620, 873, 960, 593, 11242, 476, 272, 543, 476, 273, 538, 519, 30838, 269, 8382, 6206, 281, 11314, 476, 272, 281, 476, 272, 264, 476, 275, 476, 1822, 476, 273, 264, 476, 274, 476, 1822, 476, 274, 264, 476, 276, 476, 1822, 476, 275, 264, 476, 278, 476, 1822, 476, 276, 264, 476, 273, 476, 1822, 476, 277, 264, 476, 277, 476, 1822, 476, 278, 264, 476, 279, 476, 1822, 476, 279, 264, 476, 1321, 476, 1822, 476, 280, 264, 476, 4375, 476, 1822, 476, 1015, 264, 476, 5379, 476, 1822, 11314, 476, 273, 281, 476, 272, 264, 476, 272, 476, 1822, 1535, 476, 276, 815, 476, 276, 476, 1822, 5798, 476, 273, 264, 1912, 303, 272, 476, 1822, 1535, 476, 273, 815, 1912, 303, 273, 476, 1822, 476, 276, 269, 5681, 3405, 1944, 519, 7689, 1215, 798, 649, 9062, 476, 273, 1700, 547, 476, 274, 1700, 323, 13424, 2338, 676, 476, 272, 476, 1822, 286, 476, 277, 269, 16792, 547, 1715, 543, 4033, 32163, 725, 2913, 519, 10453, 2626, 519, 1966, 538, 11314, 476, 274, 538, 519, 30838, 14350, 269, 8382, 6206, 281, 476, 272, 264, 476, 272, 476, 1822, 1535, 476, 276, 815, 476, 276, 476, 1822, 5774, 525, 1023, 476, 273, 264, 476, 272, 476, 1822, 1535, 476, 279, 815, 476, 279, 476, 1822, 1608, 600, 753, 529, 595, 269, 16214, 32167, 2812, 798, 11314, 476, 275, 538, 519, 30838, 269, 3629, 519, 10453, 606, 2534, 6656, 269, 8382, 6206, 281, 476, 272, 264, 476, 274, 476, 1822, 476, 273, 264, 476, 277, 476, 1822, 476, 274, 264, 476, 278, 476, 1822, 476, 275, 264, 476, 276, 476, 1822, 476, 276, 264, 476, 280, 476, 1822, 476, 277, 264, 476, 1015, 476, 1822, 476, 278, 264, 476, 5379, 476, 1822, 476, 279, 264, 476, 1789, 476, 1822, 476, 280, 264, 476, 2764, 476, 1822, 476, 1015, 264, 476, 4281, 476, 1822, 667, 269, 5851, 11314, 25849, 11314, 476, 276, 538, 519, 30838, 607, 6780, 269, 8382, 6206, 281, 476, 272, 264, 476, 273, 264, 476, 274, 264, 476, 275, 264, 476, 276, 264, 476, 277, 264, 476, 278, 264, 476, 279, 264, 476, 280, 264, 8382, 476, 279, 476, 1822, 476, 1704, 476, 1822, 476, 276, 476, 1822, 476, 6246, 476, 1822, 476, 4649, 476, 1822, 476, 278, 476, 1822, 476, 1704, 476, 1822, 476, 279, 476, 1822, 476, 1321, 476, 1822, 14594, 631, 589, 717, 594, 595, 700, 589, 631, 623, 1261, 3357, 856, 540, 519, 631, 8980, 2975, 700, 21283, 256, 7689, 476, 2412, 6480, 26305, 15733, 10432, 476, 275, 20638, 6480, 1493, 519, 1587, 540, 476, 273, 268, 547, 476, 274, 18251, 2338, 543, 476, 272, 268, 547, 476, 273, 18251, 2338, 609, 10257, 2164, 10025, 10312, 1677, 9062, 476, 273, 547, 476, 274, 18251, 2338, 676, 476, 272, 476, 1822, 267, 9062, 519, 1875, 25179, 9704, 1101, 267, 543, 1287, 24509, 21325, 538, 519, 1587, 269, 634, 1297, 540, 21325, 538, 519, 2188, 568, 3160, 547, 519, 1297, 540, 21325, 538, 519, 1587, 563, 1892, 476, 6642, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 6642, 1109, 5231, 3026, 520, 1145, 538, 835, 779, 19106, 2776, 7528, 15363, 10341, 681, 15929, 1055, 2338, 10049, 7089, 6486, 267, 2262, 2042, 267, 5961, 19019, 531, 30332, 589, 269, 2776, 14083, 11242, 476, 272, 269, 3220, 650, 18044, 1297, 6486, 543, 1577, 10453, 2697, 519, 1747, 1871, 540, 519, 896, 20040, 9704, 269, 6201, 281, 476, 23056, 476, 24833, 277, 476, 11277, 276, 476, 9083, 4097, 476, 13670, 277, 476, 5002, 7176, 476, 6344, 7176, 476, 273, 269, 5623, 6828, 519, 1362, 883, 1079, 269, 3962, 1895, 786, 2824, 513, 11347, 945, 786, 2328, 519, 4267, 593, 519, 4604, 630, 821, 16311, 656, 585, 1169, 6221, 1040, 634, 1895, 609, 519, 5207, 1297, 540, 2798, 17993, 269, 18044, 519, 2338, 269, 2552, 652, 1218, 786, 2328, 519, 17031, 1055, 1297, 593, 519, 4604, 269, 6201, 281, 513, 269, 18471, 1055, 547, 519, 14282, 9937, 476, 14689, 476, 24487, 476, 16318, 476, 24487, 276, 536, 269, 18471, 1055, 547, 519, 14282, 7366, 476, 28670, 476, 12553, 476, 20720, 476, 274, 476, 6924, 476, 280, 1321, 524, 269, 18471, 1055, 547, 519, 14282, 5215, 476, 24833, 277, 476, 14862, 273, 476, 4281, 273, 272, 476, 25834, 280, 476, 14862, 276, 645, 269, 25833, 11242, 476, 272, 269, 10558, 532, 519, 7689, 10558, 519, 1966, 593, 519, 4604, 269, 28064, 267, 476, 6795, 275, 1426, 15004, 616, 9447, 547, 519, 14977, 874, 3019, 623, 32631, 20491, 570, 592, 784, 4741, 269, 6168, 875, 1082, 1426, 15004, 616, 1373, 4607, 676, 519, 20491, 570, 592, 784, 4741, 538, 476, 278, 2395, 286, 11512, 547, 519, 10453, 519, 2495, 540, 519, 2262, 968, 12671, 1848, 15681, 873, 602, 621, 10522, 513, 1297, 602, 568, 968, 2254, 3169, 2223, 543, 602, 585, 713, 3483, 267, 519, 14282, 7447, 568, 1373, 4280, 563, 1892, 476, 6245, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 6245, 1109, 5231, 22716, 1125, 519, 1739, 281, 1879, 21501, 2472, 267, 5180, 1055, 1142, 3815, 547, 922, 5207, 1747, 1871, 267, 1287, 9062, 269, 630, 8855, 281, 1684, 711, 5180, 1055, 476, 272, 18251, 2188, 4700, 8058, 547, 519, 10453, 519, 3268, 281, 3040, 18471, 1055, 519, 2188, 547, 741, 5207, 1747, 1871, 269, 3040, 25092, 519, 4611, 2188, 269, 476, 6795, 275, 476, 7785, 1535, 476, 278, 1535, 476, 278, 476, 275, 476, 15647, 476, 275, 476, 1220, 476, 18987, 3396, 2920, 783, 1587, 6480, 13846, 1587, 476, 275, 476, 15647, 568, 14282, 547, 476, 275, 476, 1220, 865, 519, 2626, 568, 10257, 269, 476, 273, 269, 27400, 519, 11314, 2913, 519, 10453, 2491, 741, 1378, 1620, 540, 519, 1079, 3268, 269, 12315, 1079, 811, 2259, 5751, 269, 513, 269, 476, 4510, 476, 2412, 536, 269, 476, 15150, 476, 1220, 2473, 476, 1240, 1535, 736, 1535, 476, 1724, 1535, 476, 1015, 476, 31134, 476, 8517, 476, 5379, 273, 476, 273, 476, 1822, 476, 4510, 476, 15150, 476, 8064, 273, 6059, 1587, 476, 273, 476, 16573, 2920, 783, 1587, 2920, 783, 1587, 9105, 281, 1548, 568, 476, 4391, 538, 17031, 1106, 286, 1548, 568, 476, 1428, 538, 17031, 1106, 286, 1548, 568, 519, 17031, 1106, 540, 476, 1708, 286, 1548, 568, 519, 17031, 1106, 540, 476, 1691, 286, 1772, 707, 2626, 10257, 286, 4208, 286, 476, 274, 269, 14409, 519, 11314, 9105, 281, 1548, 3268, 798, 596, 1246, 538, 21501, 2472, 286, 1879, 798, 649, 5180, 909, 286, 1879, 798, 649, 5180, 1524, 286, 476, 275, 269, 22365, 1721, 1424, 519, 10417, 1684, 11314, 476, 272, 538, 519, 30838, 676, 8424, 269, 9181, 741, 4267, 19952, 269, 2913, 519, 10453, 798, 11242, 476, 273, 543, 476, 274, 538, 519, 30838, 14350, 269, 8382, 6206, 281, 11314, 476, 272, 281, 476, 272, 264, 476, 12573, 476, 273, 264, 476, 25851, 476, 274, 264, 476, 18231, 476, 275, 264, 476, 274, 476, 1822, 476, 276, 264, 476, 276, 476, 7785, 6059, 1587, 454, 1892, 476, 5002, 269, 667, 6938, 10499, 4989, 476, 1015, 267, 476, 1001, 275, 476, 5002, 1109, 5231, 476, 277, 264, 476, 8517, 476, 278, 264, 476, 274, 476, 1220, 476, 279, 264, 476, 273, 476, 4335, 476, 280, 264, 476, 272, 476, 8517, 476, 1015, 264, 476, 277, 476, 1822, 11314, 476, 273, 281, 476, 272, 264, 476, 4968, 1535, 476, 1789, 815, 476, 280, 476, 1822, 476, 273, 264, 476, 1220, 1535, 476, 2004, 815, 476, 1015, 476, 1822, 476, 274, 264, 476, 4968, 1535, 476, 736, 815, 476, 277, 476, 1822, 476, 275, 264, 476, 1911, 1535, 476, 2412, 815, 476, 275, 476, 1822, 476, 276, 264, 476, 8517, 1535, 476, 1015, 815, 476, 279, 476, 1822, 11314, 476, 274, 281, 476, 272, 264, 476, 1015, 1535, 476, 2412, 815, 476, 6110, 630, 12671, 476, 6110, 3440, 23445, 264, 476, 273, 264, 476, 9873, 1535, 476, 274, 815, 476, 29496, 630, 12671, 476, 29496, 27371, 264, 476, 276, 269, 5681, 3405, 1944, 519, 7689, 1215, 798, 649, 7447, 519, 1587, 540, 476, 273, 268, 547, 476, 274, 18251, 2338, 16611, 676, 476, 272, 268, 547, 476, 273, 18251, 2338, 286, 5231, 476, 277, 269, 16792 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1931, 454, 1038, 1247, 1775, 318, 10864, 2510, 2999, 7003, 263, 10864, 2510, 264, 610, 1775, 29223, 14476, 2999, 7003, 263, 1842, 14476, 17107, 2018, 952, 1775, 318, 10864, 2510, 2999, 7003, 263, 10864, 2510, 2187, 3546, 1225, 318, 17463, 815, 2612, 263, 10864, 2510, 5157, 318, 10864, 2510, 7481, 2018, 3116, 912, 3546, 1225, 318, 17463, 815, 10581, 3488, 8882, 17210, 2018, 952, 1775, 29223, 14476, 2999, 7003, 263, 1842, 14476, 2187, 3546, 1225, 318, 27168, 815, 1064, 14476, 5157, 29223, 14476, 2639, 2018, 3116, 912, 3546, 1225, 318, 27168, 815, 10581, 3488, 8882, 17210, 2018, 952, 1225, 318, 17463, 10922, 1225, 318, 27168, 912, 3546, 15044, 8217, 6910, 263, 2017, 318, 17463, 994, 3546, 1775, 318, 10864, 2510, 6834, 476, 272, 692, 2018, 952, 1225, 318, 27168, 10922, 1225, 318, 17463, 912, 3546, 15044, 8217, 6910, 263, 2017, 318, 27168, 994, 3546, 1775, 29223, 14476, 6834, 476, 272, 692, 1038, 2132, 1496, 330, 2878, 476, 273, 585, 737, 538, 15044, 8217, 2639, 0, 258, 5470, 7829, 2119, 7721, 1061, 3625, 454, 339, 787, 912, 825, 2085, 815, 703, 9272, 3488, 720, 281, 1412, 4917, 825, 4747, 815, 476, 1220, 876, 454, 825, 1981, 815, 4747, 1315, 2085, 454, 825, 1820, 263, 720, 994, 21955, 20023, 19667, 1707, 13286, 912, 825, 1820, 2891, 6358, 568, 476, 271, 799, 568, 711, 4570, 5602, 21955, 28759, 912, 825, 1820, 2891, 6358, 568, 711, 513, 4570, 1297, 5602, 0, 5228, 28184, 5793, 1104, 2608, 692, 10174, 284, 307, 330, 10797, 324, 284, 22209, 787, 20172, 267, 8700, 284, 2004, 267, 536, 326, 6889, 19990, 2580, 535, 326, 6889, 19009, 2580, 8473, 12296, 284, 273, 994, 324, 4877, 871, 4590, 324, 27044, 263, 271, 2437, 11767, 2659, 2012, 281, 15419, 3698, 1250, 12812, 10031, 825, 32597, 6889, 15916, 834, 266, 324, 10947, 4590, 825, 1250, 299, 8475, 284, 299, 8475, 20172, 267, 1257, 284, 31435, 994, 825, 1250, 299, 8475, 4877, 871, 10797, 3240, 3719, 2023, 284, 3719, 2023, 20172, 267, 1257, 6889, 11767, 2659, 2012, 256, 2580, 14950, 343, 284, 2004, 267, 533, 8014, 284, 1015, 267, 4971, 284, 3240, 12812, 267, 535, 326, 6889, 19990, 2580, 536, 326, 6889, 1042, 5602, 3240, 3719, 2023, 4877, 871, 10797, 10174, 6230, 664, 31467, 3890, 0, 5228, 28184, 5793, 1104, 2608, 692, 10174, 284, 307, 330, 10797, 3698, 1250, 12812, 10031, 825, 1250, 299, 8475, 284, 299, 8475, 20172, 267, 1257, 6889, 16100, 267, 1775, 4945, 539, 7735, 8627, 5602, 825, 1250, 299, 8475, 4877, 871, 10797, 3240, 3719, 2023, 284, 3719, 2023, 20172, 267, 1257, 6889, 12812, 2725, 256, 2580, 14950, 343, 284, 2004, 267, 533, 8014, 284, 1015, 267, 4971, 284, 3240, 12812, 267, 535, 326, 6889, 19990, 2580, 536, 326, 6889, 1042, 15419, 3240, 3719, 2023, 4877, 871, 10797, 10174, 6230, 664, 31467, 3890, 0, 3863, 18425, 815, 3403, 3488, 11767, 513, 1297, 281, 30386, 339, 787, 912, 825, 538, 19056, 815, 703, 263, 3863, 18425, 994, 21955, 912, 825, 538, 19056, 815, 910, 476, 272, 692, 604, 538, 19056, 3436, 476, 271, 912, 825, 1820, 3488, 301, 823, 960, 256, 5073, 12828, 912, 825, 1820, 3488, 8253, 513, 1297, 5073, 0, 258, 595, 1348, 334, 11188, 10790, 308, 454, 3698, 24140, 31980, 6025, 4973, 26000, 326, 1495, 657, 2567, 3097, 825, 700, 8379, 25492, 815, 476, 1911, 271, 454, 825, 1775, 815, 476, 271, 692, 825, 1247, 1775, 2999, 2698, 26000, 326, 1495, 657, 912, 1038, 1820, 19304, 9217, 4917, 1038, 1775, 6834, 476, 272, 454, 1038, 952, 1775, 2652, 700, 8379, 25492, 912, 2018, 1820, 2891, 312, 320, 1609, 553, 544, 8500, 642, 773, 14765, 8627, 26008, 13961, 521, 15282, 733, 18372, 512, 731, 732, 476, 1911, 271, 513, 10722, 657, 1535, 291, 5602, 2018, 1820, 2891, 295, 1794, 12667, 334, 281, 834, 1341, 1193, 6025, 4973, 26000, 326, 1495, 657, 264, 1341, 834, 5302, 1495, 657, 5602, 2018, 2736, 672, 8528, 3698, 8544, 318, 5733, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 2187, 825, 5302, 318, 6996, 815, 630, 24629, 1341, 476, 1321, 910, 8544, 264, 2608, 8544, 318, 523, 26000, 326, 454, 825, 5302, 19963, 25123, 815, 630, 20204, 910, 476, 272, 910, 513, 25123, 264, 2608, 513, 25123, 318, 523, 26000, 326, 454, 825, 2698, 26000, 326, 1495, 657, 815, 5302, 5091, 807, 1341, 5302, 318, 6996, 1341, 5302, 19963, 25123, 454, 825, 24140, 31980, 6025, 4973, 26000, 326, 1495, 657, 2020, 3698, 8544, 318, 5443, 657, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 2187, 825, 5302, 318, 6996, 815, 630, 24629, 910, 8544, 264, 2608, 8544, 318, 523, 26000, 326, 454, 825, 5302, 19963, 25123, 815, 630, 20204, 910, 513, 25123, 264, 2608, 513, 25123, 318, 523, 26000, 326, 454, 825, 2698, 26000, 326, 1495, 657, 815, 5302, 5091, 807, 1341, 5302, 318, 6996, 1341, 5302, 19963, 25123, 454, 825, 24140, 31980, 6025, 4973, 26000, 326, 1495, 657, 2020, 3698, 2196, 10031, 825, 1948, 291, 17144, 4890, 454, 825, 1104, 30220, 454, 825, 1032, 815, 30220, 6155, 622, 6745, 3736, 14061, 20204, 454, 825, 3923, 815, 30220, 6155, 622, 6745, 3736, 14061, 24629, 454, 825, 1554, 815, 30220, 6155, 622, 6745, 3736, 14061, 1485, 454, 825, 1948, 3519, 951, 18059, 632, 546, 807, 267, 8544, 586, 513, 25123, 679, 5302, 1495, 657, 454, 825, 546, 807, 318, 523, 26000, 326, 815, 476, 279, 5038, 876, 454, 825, 8544, 318, 523, 26000, 326, 815, 476, 4029, 2608, 546, 807, 318, 523, 26000, 326, 454, 825, 513, 25123, 318, 523, 26000, 326, 815, 476, 1321, 2608, 8544, 318, 523, 26000, 326, 692, 825, 1820, 2891, 295, 7637, 267, 6864, 6403, 10540, 337, 27222, 26453, 518, 513, 2889, 343, 574, 611, 3512, 324, 24140, 656, 657, 546, 6403, 553, 6328, 12667, 334, 5602, 825, 513, 25123, 815, 703, 9272, 2891, 3269, 22958, 3266, 683, 806, 17010, 26453, 518, 679, 6446, 513, 25123, 562, 659, 626, 324, 563, 825, 552, 329, 6374, 334, 263, 476, 1960, 280, 476, 2567, 5727, 4917, 825, 8544, 815, 703, 9272, 2891, 312, 1862, 2485, 379, 601, 8544, 286, 552, 329, 6374, 334, 263, 476, 275, 476, 2567, 27328, 825, 546, 807, 815, 703, 9272, 2891, 288, 1817, 320, 1862, 2485, 379, 290, 340, 5451, 331, 535, 826, 8913, 546, 17144, 632, 562, 659, 574, 1304, 334, 286, 552, 329, 6374, 334, 630, 476, 278, 476, 2567, 27328, 825, 952, 546, 807, 3436, 1554, 912, 1038, 1554, 815, 1554, 1341, 476, 4029, 454, 1038, 3923, 815, 3923, 910, 476, 272, 454, 1038, 5302, 5091, 807, 815, 630, 1485, 910, 546, 807, 264, 2608, 546, 807, 318, 523, 26000, 326, 454, 1038, 952, 8544, 3436, 3923, 912, 2018, 8544, 318, 5733, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 994, 1038, 3116, 912, 2018, 8544, 318, 5443, 657, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 994, 825, 3116, 912, 1038, 5302, 5091, 807, 815, 630, 1485, 910, 546, 807, 264, 2608, 546, 807, 318, 523, 26000, 326, 3097, 1038, 952, 8544, 3436, 3923, 912, 2018, 8544, 318, 5733, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 994, 1038, 3116, 912, 2018, 8544, 318, 5443, 657, 263, 572, 326, 5091, 807, 267, 3923, 267, 8544, 267, 8544, 318, 523, 26000, 326, 267, 513, 25123, 267, 1032, 267, 513, 25123, 318, 523, 26000, 326, 2020, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2196, 3890, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 4351, 692, 258, 16797, 4990, 1210, 713, 568, 711, 7123, 4990, 2336, 258, 6056, 713, 5044, 912, 258, 476, 272, 476, 274, 476, 273, 476, 274, 476, 273, 476, 275, 476, 276, 476, 273, 454, 258, 634, 1101, 476, 274, 786, 1439, 909, 1310, 519, 2034, 835, 563, 692, 3698, 15652, 10490, 267, 533, 267, 678, 2187, 825, 1883, 815, 589, 314, 337, 6540, 825, 1775, 815, 533, 910, 476, 272, 692, 825, 585, 795, 538, 1535, 9792, 9638, 267, 678, 17107, 1038, 952, 589, 14728, 316, 10922, 1883, 912, 2018, 1775, 6834, 476, 272, 454, 2018, 589, 5157, 3910, 589, 14728, 316, 815, 589, 14728, 3910, 589, 5157, 6540, 825, 1775, 6834, 476, 272, 454, 825, 589, 5157, 3910, 589, 314, 337, 316, 815, 589, 314, 337, 3910, 589, 5157, 6540, 825, 795, 815, 1775, 454, 825, 737, 815, 533, 910, 476, 272, 692, 825, 1948, 2745, 795, 267, 1775, 454, 825, 1948, 2745, 589, 692, 825, 1247, 6936, 912, 1038, 1247, 6936, 912, 2018, 795, 20699, 476, 272, 454, 2018, 952, 589, 14728, 316, 11203, 1883, 912, 3546, 2736, 16963, 1038, 1247, 6936, 912, 2018, 737, 6834, 476, 272, 454, 2018, 952, 589, 25208, 316, 2652, 1883, 912, 3546, 2736, 3248, 1038, 952, 737, 2999, 795, 912, 2018, 589, 14728, 3910, 589, 25208, 316, 815, 589, 25208, 3910, 589, 14728, 2639, 1038, 3116, 912, 2018, 2736, 454, 825, 2132, 795, 1341, 476, 272, 267, 1775, 692, 258, 634, 1505, 2630, 568, 1454, 1732, 692, 3698, 15652, 273, 10490, 267, 533, 267, 678, 2187, 825, 1883, 815, 589, 314, 337, 6540, 825, 1775, 815, 533, 910, 476, 272, 692, 825, 585, 795, 538, 1535, 9792, 9638, 267, 678, 17107, 1038, 952, 589, 14728, 316, 2999, 1883, 912, 2018, 1775, 6834, 476, 272, 454, 2018, 589, 5157, 3910, 589, 14728, 316, 815, 589, 14728, 3910, 589, 5157, 6540, 825, 1775, 6834, 476, 272, 454, 825, 589, 5157, 3910, 589, 314, 337, 316, 815, 589, 314, 337, 3910, 589, 5157, 6540, 825, 795, 815, 1775, 692, 825, 1948, 2745, 795, 267, 1775, 454, 825, 1948, 2745, 589, 692, 825, 585, 737, 538, 1535, 9792, 9217, 1341, 476, 272, 267, 678, 910, 476, 272, 2187, 1038, 952, 589, 25208, 316, 2652, 1883, 912, 2018, 795, 6834, 476, 272, 454, 2018, 589, 25208, 3910, 589, 14728, 316, 815, 589, 14728, 3910, 589, 25208, 6540, 825, 2132, 1775, 267, 795, 692, 3698, 19747, 318, 4820, 819, 10490, 267, 533, 267, 678, 2187, 825, 1775, 815, 4351, 27110, 9638, 267, 337, 994, 825, 589, 5157, 3910, 589, 314, 337, 316, 815, 589, 314, 337, 3910, 589, 5157, 2639, 825, 2132, 15652, 273, 10490, 267, 533, 267, 678, 2020, 3698, 844, 6506, 677, 10490, 267, 533, 267, 678, 2187, 825, 952, 533, 2999, 678, 912, 1038, 7117, 272, 267, 7117, 273, 476, 815, 19747, 318, 4820, 819, 10490, 267, 533, 267, 678, 2020, 1038, 844, 6506, 677, 10490, 267, 533, 267, 7117, 272, 910, 476, 272, 994, 1038, 844, 6506, 677, 10490, 267, 7117, 273, 1341, 476, 272, 267, 678, 9239, 3698, 1292, 3890, 1384, 825, 1250, 8217, 815, 1496, 4351, 27110, 263, 271, 267, 476, 1015, 264, 585, 1775, 538, 1535, 9792, 263, 271, 267, 476, 736, 264, 23378, 825, 1820, 1250, 8217, 692, 825, 1820, 834, 4820, 819, 281, 4840, 825, 1820, 15652, 273, 30044, 8217, 267, 476, 271, 267, 7003, 30044, 8217, 264, 910, 272, 994, 825, 1820, 1250, 8217, 692, 825, 1820, 834, 638, 6506, 677, 4840, 825, 844, 6506, 677, 30044, 8217, 267, 476, 271, 267, 7003, 30044, 8217, 264, 910, 476, 272, 2020, 825, 1820, 1250, 8217, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 4351, 692, 5035, 645, 4306, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1883, 2187, 1038, 1582, 269, 4486, 815, 1883, 454, 1038, 1582, 4877, 815, 7183, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 1193, 4311, 269, 4486, 2020, 5035, 645, 4306, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 7183, 692, 3698, 645, 4306, 318, 12133, 24867, 267, 562, 17107, 825, 586, 815, 7183, 454, 825, 1535, 815, 570, 269, 10174, 692, 825, 1247, 1535, 11203, 7183, 912, 1038, 586, 815, 1535, 692, 1038, 1948, 1284, 666, 882, 1933 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1079, 11105, 5011, 780, 299, 655, 2742, 476, 1556, 269, 280, 630, 22704, 540, 513, 9406, 21121, 1040, 634, 1858, 540, 513, 1318, 6906, 568, 835, 28451, 540, 519, 1587, 540, 519, 13080, 540, 922, 7953, 780, 31628, 332, 476, 1556, 269, 1015, 630, 22704, 540, 513, 21121, 1040, 634, 1858, 540, 513, 6906, 568, 3160, 547, 835, 28451, 519, 3259, 540, 1022, 3490, 16611, 676, 519, 7222, 4463, 780, 17357, 3326, 776, 476, 1556, 269, 1556, 630, 31590, 4120, 6215, 4575, 14497, 1040, 14597, 13235, 543, 589, 7460, 616, 12730, 602, 723, 513, 1455, 7602, 494, 6629, 6629, 20681, 454, 2515, 7460, 267, 971, 602, 589, 543, 589, 1312, 9114, 593, 513, 1899, 6252, 547, 7460, 269, 3973, 590, 13235, 815, 590, 589, 7460, 4586, 17357, 3326, 776, 476, 1556, 269, 1321, 630, 31590, 4120, 9351, 1160, 15251, 14497, 1040, 14597, 13235, 543, 9474, 595, 616, 12730, 609, 513, 1455, 14584, 589, 267, 971, 602, 519, 2798, 645, 267, 595, 267, 645, 2073, 595, 616, 897, 15035, 3973, 692, 306, 13235, 815, 7460, 1547, 590, 9474, 595, 645, 595, 692, 31628, 332, 476, 1556, 269, 1724, 630, 22704, 540, 513, 3004, 19649, 1355, 1040, 634, 1858, 540, 513, 25671, 1355, 568, 519, 3328, 540, 519, 13080, 540, 519, 13279, 16611, 676, 519, 4463, 780, 17357, 3326, 776, 476, 1556, 269, 1691, 630, 22704, 540, 513, 23155, 6945, 1040, 634, 1858, 540, 513, 25521, 568, 519, 3259, 540, 1022, 3490, 16611, 676, 519, 7222, 4463, 780, 6637, 476, 1321, 281, 5381, 640, 692, 31628, 332, 476, 1321, 269, 272, 630, 9558, 6638, 540, 5381, 640, 540, 10222, 9201, 1040, 5565, 12730, 602, 616, 1312, 2147, 547, 513, 3791, 6906, 616, 2147, 547, 1142, 824, 780, 16378, 494, 6629, 6629, 20681, 454, 31628, 332, 476, 1321, 269, 273, 630, 763, 17121, 4149, 5902, 614, 14497, 1040, 14597, 13235, 568, 513, 6906, 267, 543, 568, 513, 1899, 6252, 547, 7460, 602, 692, 5793, 4167, 338, 9474, 693, 606, 9703, 1448, 667, 269, 3973, 849, 12969, 338, 8028, 693, 606, 9703, 1448, 661, 267, 543, 519, 1739, 17114, 692, 3835, 1384, 284, 692, 663, 692, 284, 780, 5723, 8028, 692, 24174, 10566, 692, 31628, 332, 476, 1321, 269, 274, 630, 8150, 5381, 640, 14497, 1040, 1403, 972, 568, 513, 19359, 1063, 519, 14622, 540, 1079, 12730, 971, 602, 1079, 8424, 540, 7222, 7285, 616, 21412, 267, 1287, 519, 12730, 616, 2147, 896, 602, 19359, 780, 31628, 332, 476, 1321, 269, 275, 630, 13436, 21121, 14716, 14497, 1040, 1403, 13235, 568, 513, 6906, 543, 16692, 568, 1022, 10126, 267, 7602, 494, 6629, 6629, 20681, 454, 6533, 593, 1142, 2427, 540, 16692, 267, 972, 568, 513, 1448, 674, 971, 602, 13235, 3980, 376, 667, 9128, 16317, 31628, 332, 476, 1321, 269, 276, 630, 7704, 306, 5381, 640, 14497, 1040, 1403, 13235, 543, 667, 9128, 616, 12730, 971, 602, 9474, 270, 14701, 815, 8028, 270, 5263, 815, 7460, 270, 9128, 2073, 1287, 13235, 3980, 376, 667, 9128, 16317, 31628, 332, 476, 1321, 269, 277, 630, 306, 3008, 5381, 640, 14497, 1040, 1403, 9474, 270, 14701, 815, 8028, 270, 5263, 2073, 1287, 13235, 3980, 376, 667, 9128, 16317, 27398, 543, 692, 291, 9128, 616, 12730, 971, 602, 19110, 288, 3980, 376, 284, 19110, 291, 543, 692, 31628, 332, 476, 1321, 269, 278, 630, 10521, 3690, 951, 1023, 14497, 1040, 14597, 543, 616, 6252, 3515, 267, 543, 544, 543, 562, 616, 1079, 3982, 1098, 951, 1023, 547, 543, 5870, 693, 513, 1448, 2473, 602, 568, 711, 593, 2901, 610, 1547, 2913, 631, 543, 715, 581, 519, 2798, 1141, 544, 543, 562, 267, 6606, 267, 2743, 6902, 543, 1577, 631, 543, 715, 581, 519, 2798, 1141, 789, 2743, 1547, 3973, 2473, 300, 715, 3980, 376, 2473, 300, 715, 16317, 31628, 332, 476, 1321, 269, 279, 630, 3519, 2091, 547, 519, 17121, 4149, 5902, 614, 14497, 1040, 14597, 13235, 568, 513, 6906, 267, 543, 667, 543, 661, 616, 9703, 2798, 593, 9474, 543, 8028, 267, 6606, 267, 971, 602, 692, 16378, 494, 6629, 6629, 20681, 692, 16378, 494, 6629, 6629, 20681, 692, 10190, 16692, 568, 6252, 547, 7460, 780, 5723, 8028, 692, 31628, 332, 476, 1321, 269, 280, 630, 17951, 548, 645, 529, 10725, 1160, 15251, 1275, 14497, 1040, 14597, 13235, 568, 513, 6906, 543, 667, 568, 513, 1448, 593, 7460, 602, 849, 6013, 593, 519, 20312, 10725, 540, 19110, 289, 3722, 269, 3973, 692, 9720, 9474, 815, 563, 17584, 8028, 692, 31628, 332, 476, 1321, 269, 1015, 630, 13640, 5537, 5741, 542, 14497, 1040, 14597, 2073, 544, 267, 562, 267, 512, 267, 543, 512, 616, 3982, 3515, 971, 602, 544, 562, 282, 512, 12969, 338, 2073, 544, 267, 543, 562, 693, 589, 267, 645, 267, 543, 595, 267, 6606, 282, 543, 512, 12969, 338, 519, 1482, 1614, 3515, 693, 589, 2073, 645, 2073, 543, 595, 2073, 6606, 269, 1403, 645, 568, 1063, 589, 543, 595, 267, 1287, 645, 568, 1063, 589, 543, 595, 2073, 543, 692, 5723, 589, 645, 692, 284, 692, 780, 6195, 645, 595, 692, 31628, 332, 476, 1321, 269, 1556, 630, 24464, 601, 9476, 779, 14497, 1040, 2913, 13235, 581, 513, 6906, 269, 14597, 667, 267, 661, 267, 674, 616, 2798, 1019, 23807, 478, 5166, 689, 692, 288, 267, 645, 267, 595, 543, 14084, 593, 971, 602, 2901, 1079, 540, 519, 2798, 9114, 593, 13235, 610, 9039, 540, 873, 798, 269, 3973, 667, 267, 661, 267, 543, 674, 616, 692, 3712, 15035, 952, 543, 1152, 952, 692, 4696, 18688, 18435, 5788, 5788, 815, 476, 272, 563, 24174, 10566, 674, 589, 692, 31628, 332, 476, 1321, 269, 1321, 630, 290, 21416, 779, 14497, 1040, 14597, 13235, 568, 513, 6906, 267, 543, 667, 267, 661, 267, 674, 616, 2798, 538, 519, 954, 12542, 540, 9474, 267, 7460, 267, 543, 11404, 267, 6606, 3973, 519, 1614, 2781, 341, 2103, 589, 292, 267, 645, 293, 2073, 543, 7131, 616, 21276, 952, 543, 1152, 952, 692, 4696, 18688, 18435, 5788, 5788, 815, 476, 272, 563, 24174, 10566, 674, 589, 692, 31628, 332, 476, 1321, 269, 1724, 630, 8469, 1014, 1230, 2017, 5270, 14497, 1040, 634, 1199, 2103, 540, 513, 6906, 616, 21276, 267, 543, 519, 3845, 689, 519, 1448, 540, 10167, 547, 1142, 14584, 568, 7466, 519, 3845, 547, 519, 30268, 540, 519, 6587, 2427, 780, 31628, 332, 476, 1321, 269, 866, 630, 31590, 4120, 9351, 2480, 2718, 14497, 1040, 1403, 1079, 12730, 616, 2147, 267, 1287, 519, 5223, 540, 741, 2127, 454, 529, 519, 4009, 540, 519, 5223, 540, 741, 7222, 2427, 13080, 282, 602, 568, 267, 952, 13235, 3980, 376, 667, 9128, 543, 9474, 815, 678, 5788, 16692, 267, 1287, 590, 13235, 815, 678, 273, 5788, 590, 667, 9128, 16317, 31628, 332, 476, 1321, 269, 736, 630, 5226, 7310, 10561, 9351, 2480, 2718, 14497, 1040, 1403, 1079, 23756, 9076, 559, 831, 1023, 616, 2147, 267, 1287, 519, 5223, 540, 741, 2127, 568, 519, 4009, 540, 519, 5223, 540, 741, 7222, 2427, 13080, 780, 6637, 476, 1724, 281, 9406, 12730, 454, 31628, 332, 476, 1724, 269, 272, 630, 763, 25355, 14497, 1040, 14597, 13235, 568, 513, 1318, 6906, 609, 1318, 5086, 693, 595, 267, 543, 1577, 513, 267, 536, 267, 543, 524, 20301, 519, 13080, 540, 519, 5011, 6587, 589, 267, 645, 267, 543, 595, 267, 6606, 269, 3973, 513, 273, 1341, 536, 273, 815, 524, 273, 563, 31628, 332, 476, 1724, 269, 273, 630, 3519, 2091, 547, 519, 25355, 14497, 1040, 14597, 13235, 568, 513, 6906, 609, 2427, 13080, 513, 267, 536, 267, 543, 524, 269, 1403, 513, 273, 1341, 536, 273, 815, 524, 273, 267, 1287, 13235, 568, 513, 1318, 6906, 267, 543, 922, 30494, 568, 519, 2427, 540, 3259, 524, 269, 14497, 476, 1724, 18414, 269, 274, 630, 306, 728, 700, 9975, 540, 476, 1789, 268, 2568, 268, 3445, 10222, 9201, 1040, 769, 513, 6906, 609, 5086, 3800, 476, 1789, 414, 501, 355, 267, 476, 2568, 414, 501, 355, 267, 543, 476, 3445, 414, 501, 355, 267, 519, 3476, 1850, 568, 476, 274, 2053, 607, 1279, 607, 519, 10156, 1850, 267, 543, 519, 30494, 568, 7466, 607, 1279, 607, 519, 10156, 1850, 269, 14497, 476, 1724, 269, 275, 630, 306, 728, 700, 9975, 540, 476, 3393, 268, 3393, 18414, 268, 3445, 10222, 9201, 1040, 769, 513, 6906, 609, 5086, 3800, 476, 3393, 414, 501, 355, 267, 476, 3393, 414, 501, 355, 267, 543, 476, 3445, 414, 501, 355, 267, 519, 7953, 616, 21412, 267, 543, 519, 30494, 568, 476, 273, 2053, 607, 1279, 607, 2901, 1850, 563, 18414, 14497, 476, 1724, 269, 276, 630, 13312, 21192, 540, 513, 12384, 1040, 769, 513, 4009, 267, 1142, 15497, 568, 476, 273, 2053, 607, 1279, 607, 1142, 2427, 563, 31628, 332, 476, 1724, 269, 277, 630, 7704, 306, 1401, 14571, 14497, 1040, 14597, 513, 267, 536, 267, 543, 524, 616, 2318, 1483, 2338, 971, 602, 1142, 835, 568, 14553, 1447, 982, 519, 2040, 540, 519, 824, 1079, 269, 3973, 972, 6818, 513, 6906, 609, 2427, 13080, 513, 267, 536, 267, 543, 524, 563, 17357, 3326, 776, 476, 1724, 269, 278, 630, 7704, 306, 14716, 14497, 1040, 14597, 513, 267, 536, 267, 543, 524, 616, 2318, 1483, 2338, 971, 602, 1142, 835, 7602, 494, 6629, 6629, 20681, 454, 529, 14553, 1447, 982, 519, 2040, 540, 519, 824, 1079, 267, 543, 9474, 568, 513, 10126, 540, 3259, 524, 269, 3973, 593, 2901, 2427, 540, 9474, 267, 972, 6818, 513, 1448, 595, 971, 602, 13235, 814, 2427, 13080, 513, 267, 536, 267, 543, 524, 6587, 14622, 589, 267, 645, 267, 543, 595, 267, 6606, 563, 31628, 332, 476, 1724, 269, 279, 630, 14738, 21121, 5381, 640, 14497, 1040, 634, 15820, 547, 519, 30494, 540, 513, 1318, 6906, 11912, 621, 883, 1079, 12730, 602, 616, 2147, 547, 1142, 824, 543, 547, 519, 3312, 6906, 563, 31628, 332, 476, 1724, 269, 280, 630, 14738, 21121, 1160, 15251, 14497, 1040, 769, 1169, 1318, 6906, 267, 519, 1739, 17114, 3180, 912, 5416, 264, 634, 15820, 547, 519, 30494, 568, 519, 12166, 1611, 540, 519, 20327, 540, 519, 1079, 7953, 5196, 519, 30494, 780, 6357, 264, 3962, 1850, 568, 519, 12166, 1611, 540, 922, 16879, 5196, 519, 30494, 543, 519, 2898, 30494, 563, 31628, 332, 476, 1724, 269, 1321, 630, 763, 25355, 14740, 1040, 1403, 16564, 568, 1022, 1483, 1297, 538, 519, 8884, 1496, 271, 267, 476, 5197, 3910, 1287, 630, 7562, 16564, 264, 273, 1341, 630, 6523, 16564, 264, 273, 815, 476, 272, 563, 31628, 332, 476, 1724, 269, 1724, 630, 763, 4521, 540, 15328, 1149, 1040, 2913, 13235, 581, 1022, 6906, 267, 543, 1577, 513, 267, 536, 267, 543, 524, 20301, 519, 13080, 540, 519, 5011, 6587, 589, 267, 645, 267, 543, 595, 267, 6606, 269, 3973, 454, 320, 273, 1341, 536, 273, 815, 524, 273, 1341, 476, 273, 629, 5430, 19110, 290, 780, 31628, 332, 476, 1724, 269, 1691, 630, 25187, 540, 590, 1149, 1040, 2913, 13235, 581, 1022, 6906, 267, 543, 1577, 513, 267, 536, 267, 543, 524, 20301, 519, 13080, 540, 519, 5011, 6587, 589, 267, 645, 267, 543, 595, 267, 6606, 269, 3973, 692, 7562, 19110, 288, 815, 5609, 19110, 289, 815, 5609, 19110, 290, 16317, 320, 692, 321, 692, 322, 692, 31628, 332, 476, 1724, 269, 1428, 630, 15463, 517, 779, 16754, 1040, 2913, 13235, 581, 513, 6906, 267, 543, 1577, 513, 267, 536, 267, 524, 20301, 519, 13080, 540, 519, 5011, 6587, 589, 267, 645, 267, 543, 595, 267, 6606, 269, 3973, 692, 272, 454, 306, 13235, 815, 630, 338, 4433, 6567, 513, 7565, 338, 6567, 536, 7565, 338, 6567, 524, 4297, 476, 273, 692, 3602, 521, 815, 630, 320, 1341, 536, 1341, 524, 8358, 273, 630, 21406, 519, 10859, 704, 9014, 540, 13235, 1916, 31628, 332, 476, 1724, 269, 1626, 630, 11764, 4813, 10358, 1040, 14597, 14668, 543, 16061, 616, 1483, 2338, 971, 602, 14668, 267, 16061, 267, 543, 14668, 1341, 16061, 616, 782, 14553, 1063, 476, 271, 414, 501, 355, 543, 476, 3445, 414, 501, 355, 269, 3973, 692, 7562, 263, 10382, 1341, 16061, 264, 815, 5609, 14668, 5430, 16061, 1341, 5430, 14668, 5609, 16061, 267, 5430, 263, 10382, 1341, 16061, 264, 815, 5430, 14668, 5430, 16061, 6567, 5609, 14668, 5609, 16061, 780, 17357, 3326, 776, 476, 1724, 269, 1704, 630, 291, 19302, 24234, 4813, 10358, 1040, 14597, 14668, 568, 513, 1483, 1297, 14553, 1063, 476, 271, 414, 501, 355, 543, 476, 3393, 414, 501, 355, 269, 3973, 692, 7562, 476, 273, 10382, 815, 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 ]

[ 1832, 3206, 827, 875, 596, 666, 2322, 891, 2035, 883, 2962, 538, 707, 1378, 3785, 543, 2238, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 13437, 5004, 454, 7922, 690, 3436, 4586, 763, 5295, 540, 21864, 12020, 538, 13437, 5004, 28389, 618, 454, 268, 676, 590, 9445, 20076, 932, 2660, 329, 2465, 454, 268, 4864, 476, 2420, 267, 476, 1708, 274, 454, 8110, 18504, 2359, 543, 7580, 4058, 616, 899, 1079, 5011, 540, 513, 3532, 11777, 538, 519, 1870, 7706, 269, 10765, 2090, 20838, 519, 2565, 1909, 540, 2773, 2359, 563, 6097, 547, 5548, 334, 527, 974, 2073, 1152, 476, 279, 260, 540, 3549, 1867, 741, 2773, 2359, 1184, 11479, 1164, 2157, 540, 1871, 267, 1247, 476, 6812, 260, 2161, 621, 568, 711, 606, 2500, 946, 540, 942, 269, 11829, 1575, 1256, 1336, 602, 3549, 945, 2285, 6024, 4222, 1759, 5955, 666, 2569, 741, 24826, 676, 3592, 476, 1428, 18336, 8110, 18504, 2359, 568, 519, 1148, 540, 7393, 9441, 2773, 998, 11295, 4485, 267, 1247, 7580, 4058, 3322, 5750, 532, 519, 1576, 585, 606, 3919, 779, 1279, 3856, 1967, 269, 8625, 267, 789, 1106, 513, 6422, 5918, 334, 602, 814, 519, 1761, 547, 4412, 601, 606, 3919, 547, 1007, 15627, 563, 1607, 5816, 12538, 883, 519, 10578, 2078, 1063, 2773, 2359, 543, 7580, 533, 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, 17345, 5149, 281, 634, 674, 8986, 543, 27801, 338, 540, 3979, 4892, 4438, 519, 476, 866, 628, 11416, 692, 1103, 519, 476, 5197, 271, 338, 267, 519, 2136, 2276, 4810, 513, 942, 540, 4028, 2208, 543, 1689, 1634, 607, 2494, 28685, 20121, 4176, 269, 901, 729, 519, 3661, 602, 621, 729, 519, 22038, 540, 3013, 547, 3262, 2066, 519, 11782, 267, 689, 5032, 547, 5032, 269, 1306, 519, 2197, 9450, 267, 865, 1705, 922, 3309, 1895, 540, 1004, 267, 1519, 513, 1804, 1297, 540, 3979, 1977, 10437, 780, 16908, 585, 20665, 20338, 538, 3013, 1282, 519, 476, 866, 628, 2540, 729, 2352, 543, 2407, 540, 23434, 269, 32013, 5411, 1031, 1585, 2409, 547, 2226, 1852, 936, 741, 10437, 267, 1519, 8716, 4978, 538, 519, 16750, 269, 1358, 1131, 2995, 2984, 827, 9409, 14326, 267, 20807, 539, 4025, 267, 543, 1256, 27642, 547, 581, 15293, 338, 2933, 256, 1452, 12485, 941, 5921, 547, 29057, 10437, 883, 9363, 2322, 543, 711, 3843, 547, 9101, 780, 3080, 2442, 7242, 1851, 10553, 5411, 729, 519, 2856, 540, 834, 7853, 1606, 333, 520, 7129, 257, 543, 834, 9519, 7189, 1701, 4340, 547, 891, 8941, 267, 972, 941, 29063, 2367, 945, 887, 3139, 1472, 693, 3781, 267, 27560, 4703, 540, 4666, 10437, 585, 6901, 610, 9513, 873, 547, 2564, 3506, 269, 2986, 1576, 267, 891, 2984, 941, 4625, 1500, 909, 543, 1185, 1100, 4493, 538, 4641, 269, 1717, 267, 789, 6039, 741, 3483, 1134, 910, 5329, 10437, 538, 1899, 998, 4250, 543, 12932, 9179, 780, 3719, 1946, 1131, 10437, 3494, 971, 30891, 748, 6811, 286, 4270, 267, 1272, 607, 513, 10553, 1419, 2451, 2370, 4055, 585, 2069, 610, 1569, 547, 4977, 1344, 269, 3509, 10437, 5030, 538, 6552, 2127, 267, 2484, 2476, 689, 4872, 543, 10034, 1141, 3377, 1522, 2951, 811, 3533, 269, 5015, 267, 741, 3232, 2729, 941, 14553, 6417, 267, 6028, 873, 9678, 543, 7925, 547, 12879, 780, 8601, 891, 2591, 267, 1082, 3979, 4892, 1336, 2081, 547, 5706, 543, 7903, 1394, 1996, 15746, 269, 2368, 16941, 593, 741, 5132, 543, 17035, 547, 1265, 4222, 543, 4126, 269, 11524, 5828, 547, 9423, 543, 18691, 607, 513, 1797, 540, 12003, 609, 519, 10792, 19178, 540, 8474, 269, 3414, 891, 5389, 267, 789, 2813, 741, 1378, 6386, 543, 5293, 1524, 3407, 4245, 689, 5108, 547, 5108, 780, 2026, 649, 1413, 1394, 593, 713, 3184, 538, 1977, 1686, 267, 621, 781, 1271, 547, 3314, 519, 6043, 543, 8990, 540, 1346, 945, 28815, 796, 19960, 514, 762, 9620, 269, 1284, 666, 1451, 689, 741, 2833, 543, 11441, 547, 1711, 513, 811, 8537, 543, 12581, 2486, 585, 782, 780, 13914, 6168, 898, 1384, 265, 1215, 1705, 10553, 5411, 946, 4250, 547, 1852, 3979, 1977, 10437, 888, 265, 1548, 1909, 1705, 22530, 1431, 1404, 538, 519, 2729, 540, 10437, 888, 265, 1215, 1705, 3979, 4892, 5706, 543, 11883, 609, 8474, 2496, 8002, 8481, 1384, 272, 269, 8073, 513, 9910, 1673, 17805, 776, 281, 19147, 707, 1362, 883, 1507, 2516, 543, 3651, 1142, 1895, 513, 1114, 2460, 540, 3979, 1977, 1272, 896, 8474, 630, 324, 3052, 1421, 1920, 1272, 267, 960, 267, 4984, 267, 4187, 1040, 5620, 1142, 1895, 1382, 741, 8655, 1888, 543, 1711, 513, 2110, 17245, 1210, 11042, 267, 2592, 267, 543, 5639, 13569, 269, 9523, 519, 32026, 609, 519, 1964, 540, 519, 1362, 543, 1865, 1018, 596, 4121, 563, 273, 269, 3503, 513, 4760, 7127, 281, 5994, 596, 616, 606, 3979, 1977, 10553, 2713, 538, 519, 476, 866, 628, 2540, 269, 1411, 5873, 32422, 827, 834, 9519, 7189, 257, 27560, 4703, 269, 3503, 513, 4760, 7127, 11589, 707, 4555, 543, 4606, 827, 891, 32422, 543, 875, 789, 1860, 707, 3232, 1272, 563, 274, 269, 14424, 543, 4334, 281, 3194, 519, 1523, 540, 2494, 28685, 20121, 4176, 543, 922, 1764, 593, 7111, 4892, 269, 14424, 543, 4334, 713, 609, 519, 2833, 540, 3979, 1977, 10437, 1282, 519, 1482, 1974, 269, 9181, 875, 1312, 2516, 941, 4299, 676, 31023, 7269, 543, 519, 7287, 585, 2244, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1646, 540, 25812, 1417, 878, 3140, 1603, 568, 8268, 538, 713, 1353, 799, 15244, 713, 10916, 540, 1686, 689, 519, 18774, 523, 2065, 7304, 2674, 1974, 547, 519, 476, 866, 628, 2540, 269, 25812, 1417, 878, 5830, 616, 13269, 607, 10478, 585, 519, 2189, 3119, 2707, 540, 834, 322, 11857, 257, 689, 835, 1974, 547, 519, 1985, 269, 6270, 8429, 593, 540, 2686, 7592, 689, 519, 834, 534, 2615, 2203, 257, 689, 519, 8106, 1974, 547, 519, 5169, 540, 2528, 538, 5527, 543, 4000, 568, 3254, 607, 1373, 513, 1587, 17033, 540, 3860, 1686, 563, 7628, 543, 1310, 519, 2395, 540, 8474, 538, 519, 2136, 2276, 267, 835, 1259, 538, 799, 10553, 14935, 267, 13327, 619, 267, 543, 824, 16543, 8179, 547, 1852, 519, 3109, 2551, 729, 547, 5000, 543, 17908, 513, 4250, 540, 519, 16750, 269, 1635, 9544, 32422, 540, 9409, 14326, 267, 20807, 539, 4025, 267, 1560, 1606, 333, 520, 7129, 267, 543, 834, 9519, 7189, 734, 16838, 676, 11792, 20960, 8172, 607, 15293, 338, 2933, 734, 16269, 27209, 519, 18977, 3350, 540, 17051, 267, 3226, 693, 3781, 267, 676, 1818, 873, 12922, 540, 5870, 824, 16447, 569, 7919, 269, 2349, 2931, 856, 1310, 4158, 849, 1981, 539, 13341, 609, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 2136, 2276, 1315, 476, 866, 628, 11416, 1315, 2494, 28685, 20121, 4176, 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, 589, 1906, 1296, 1394, 267, 594, 1185, 9709, 519, 3501, 31562, 7552, 547, 12548, 609, 1250, 2852, 14609, 625, 936, 938, 5162, 2736, 269, 1284, 941, 782, 4810, 1236, 4536, 543, 7948, 1405, 7227, 547, 5734, 930, 540, 519, 1655, 19527, 538, 519, 2197, 269, 1306, 649, 14095, 938, 10591, 543, 5423, 6000, 585, 519, 7045, 6619, 267, 9039, 540, 721, 1223, 18783, 875, 3665, 4365, 1131, 2490, 938, 5326, 16314, 26700, 1524, 780, 2171, 8452, 538, 12548, 1175, 1310, 513, 1713, 6777, 10445, 269, 2755, 713, 1522, 3280, 4998, 585, 31562, 267, 519, 22406, 4320, 540, 6777, 1500, 1082, 540, 519, 9897, 791, 817, 762, 269, 3776, 1895, 729, 3768, 2678, 1042, 267, 1498, 282, 649, 10519, 539, 513, 19756, 2185, 2914, 31856, 5397, 6174, 543, 1305, 1055, 2509, 519, 10239, 269, 9741, 1705, 649, 917, 267, 519, 2591, 15054, 676, 12624, 7186, 941, 1152, 4098, 780, 2026, 649, 22755, 2059, 3955, 8063, 476, 3583, 267, 16246, 2362, 883, 519, 27743, 15142, 267, 519, 6777, 680, 3298, 17388, 547, 1832, 909, 609, 519, 3586, 6777, 6420, 269, 29853, 30281, 547, 513, 31770, 267, 5555, 4947, 547, 513, 2347, 1796, 560, 650, 1813, 547, 606, 8009, 3361, 676, 4057, 15287, 543, 521, 5585, 9897, 269, 898, 8604, 899, 3108, 5293, 1354, 649, 3323, 3001, 1586, 267, 23344, 693, 513, 1928, 2685, 3500, 10605, 780, 4407, 12758, 538, 6808, 267, 835, 4759, 540, 938, 1895, 6700, 8429, 942, 676, 7234, 13395, 3584, 2673, 547, 938, 12271, 1107, 21372, 1414, 30235, 9413, 543, 1412, 3445, 338, 3381, 3756, 269, 901, 1769, 27329, 4090, 5280, 8897, 519, 8082, 267, 3850, 721, 547, 1921, 593, 513, 4514, 1377, 982, 2479, 1354, 269, 5808, 6785, 602, 7391, 827, 645, 2173, 990, 625, 543, 27164, 11080, 931, 3421, 1223, 3142, 2828, 1256, 6251, 1927, 2496, 30631, 1302, 267, 649, 6603, 938, 10278, 267, 25356, 689, 519, 1279, 3460, 269, 1717, 267, 2390, 10992, 883, 938, 561, 17690, 267, 649, 4362, 602, 1776, 3390, 12735, 4240, 519, 1858, 1107, 513, 7839, 1379, 856, 720, 4611, 689, 519, 7920, 6777, 10445, 269, 2060, 1100, 5201, 267, 972, 729, 1100, 1259, 547, 3002, 519, 2679, 610, 3434, 6980, 269, 1284, 941, 2451, 695, 1853, 532, 538, 519, 4158, 267, 2484, 689, 10340, 780, 291, 17827, 711, 547, 1577, 713, 25010, 938, 7552, 7357, 267, 649, 4956, 547, 9784, 519, 14488, 543, 2212, 3544, 269, 2991, 15985, 1782, 909, 1996, 519, 4411, 267, 649, 5887, 3293, 5196, 519, 7404, 19527, 267, 11981, 4195, 8869, 7140, 896, 7599, 26569, 22839, 269, 769, 24794, 1051, 267, 621, 5828, 856, 547, 581, 3833, 606, 20605, 1995, 780, 30952, 602, 3781, 267, 1472, 513, 2306, 31183, 3786, 13933, 267, 649, 5941, 2081, 547, 2087, 938, 3510, 269, 2290, 3659, 7000, 1010, 5728, 13007, 607, 513, 9952, 27697, 543, 6069, 1210, 1010, 11477, 1983, 547, 1711, 513, 7594, 17709, 540, 513, 2947, 3613, 541, 13962, 1765, 718, 11273, 936, 606, 1930, 18723, 269, 4635, 3908, 2200, 267, 646, 7307, 547, 4739, 513, 8949, 21649, 602, 6854, 721, 3636, 543, 13854, 2429, 519, 3781, 780, 7021, 519, 1739, 2395, 267, 649, 4121, 3407, 4245, 827, 6043, 543, 13916, 1247, 6849, 10792, 4365, 2175, 269, 6736, 519, 9465, 16207, 693, 721, 676, 2470, 267, 649, 1336, 7772, 538, 1142, 824, 781, 2754, 998, 9644, 267, 23274, 267, 543, 4199, 6888, 269, 1879, 11291, 532, 713, 12473, 9661, 1631, 267, 594, 8275, 602, 3006, 519, 1034, 12300, 2833, 2097, 689, 6397, 6381, 3564, 707, 1852, 269, 1656, 952, 596, 1265, 3054, 18843, 539, 538, 12548, 1282, 513, 1025, 11170, 731, 609, 1434, 2828, 267, 1810, 1405, 7340, 547, 3640, 707, 2648, 585, 21305, 3381, 3756, 543, 606, 14031, 585, 7045, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 723, 3665, 4365, 2175, 12936, 519, 6283, 1062, 538, 12548, 888, 296, 798, 711, 723, 1569, 547, 519, 5767, 3377, 543, 1239, 267, 855, 1775, 666, 1683, 2489, 1344, 827, 875, 3665, 4365, 2175, 666, 1764, 519, 6283, 1062, 538, 2681, 5964, 780, 2169, 3153, 4365, 2175, 971, 607, 5230, 6777, 6420, 267, 4672, 15420, 267, 8755, 17160, 267, 543, 23967, 666, 3648, 7519, 519, 6283, 1062, 538, 2681, 5964, 269, 891, 2175, 666, 3441, 9897, 267, 13123, 267, 543, 824, 6283, 5989, 267, 1818, 873, 13818, 610, 8035, 762, 269, 621, 666, 1291, 547, 6808 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 24110, 476, 277, 268, 1321, 454, 268, 3427, 24285, 454, 310, 514, 513, 24732, 268, 4002, 3163, 14173, 1341, 1269, 1911, 717, 3424, 25890, 2336, 6200, 21624, 29480, 4828, 11762, 585, 8866, 543, 1855, 839, 454, 8196, 707, 1913, 547, 32022, 519, 5467, 563, 25324, 24070, 1603, 568, 835, 540, 1346, 1983, 602, 666, 948, 1053, 8011, 538, 1483, 1272, 269, 29480, 3594, 616, 2147, 547, 12819, 2073, 855, 789, 7048, 1447, 593, 5013, 543, 811, 593, 7553, 547, 32022, 519, 5467, 269, 898, 779, 1271, 547, 917, 707, 5304, 865, 596, 666, 18783, 1022, 4831, 1173, 3701, 789, 1522, 1118, 543, 2119, 547, 7753, 873, 269, 8347, 2542, 930, 21927, 5931, 547, 1397, 3214, 1390, 1806, 540, 6644, 1603, 269, 3973, 946, 891, 10388, 1557, 3584, 585, 2259, 563, 18662, 543, 4065, 29480, 4828, 11762, 454, 16908, 543, 7881, 10388, 1557, 3584, 267, 2257, 543, 2029, 10388, 1557, 3584, 267, 5026, 543, 9913, 10388, 1557, 3584, 267, 1175, 585, 1187, 10388, 1557, 3584, 563, 268, 1684, 596, 1589, 6780, 1058, 581, 2838, 267, 18593, 267, 610, 711, 2016, 693, 782, 888, 268, 4841, 1058, 270, 29019, 711, 581, 2111, 547, 946, 741, 11436, 1282, 519, 521, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4095, 12668, 593, 519, 4279, 26111, 692, 6637, 476, 272, 281, 4985, 547, 7111, 1977, 6164, 625, 692, 1103, 519, 2038, 2395, 540, 519, 2136, 2276, 267, 938, 2197, 781, 3401, 1500, 11650, 609, 7111, 1977, 11031, 2713, 593, 519, 4279, 26111, 269, 1452, 11650, 616, 1572, 21308, 269, 589, 14097, 568, 899, 513, 4579, 1063, 1079, 2516, 540, 1004, 269, 898, 14592, 1018, 1142, 1895, 14767, 547, 798, 610, 711, 798, 269, 1879, 621, 2501, 547, 891, 7111, 1977, 21308, 267, 789, 1419, 3238, 4758, 909, 930, 2244, 865, 3043, 13896, 1223, 1847, 31023, 269, 1717, 267, 1082, 2053, 267, 1312, 5011, 4769, 1405, 4628, 1174, 1018, 519, 824, 5921, 267, 3056, 547, 21390, 543, 7526, 649, 1631, 1289, 519, 4095, 12668, 593, 519, 4279, 26111, 780, 6637, 476, 273, 281, 4197, 590, 30371, 14879, 692, 306, 30371, 14879, 1797, 2348, 519, 1379, 547, 1827, 13951, 269, 7043, 1354, 17417, 8452, 538, 3013, 267, 7111, 4892, 5030, 1934, 543, 18170, 741, 1378, 3338, 269, 1358, 32170, 10889, 14900, 267, 535, 1639, 538, 8933, 267, 3484, 539, 8970, 267, 543, 3576, 1416, 540, 741, 3885, 1175, 899, 1022, 824, 2486, 269, 4634, 1310, 3864, 13896, 3357, 267, 7111, 1977, 11031, 4797, 547, 2015, 2933, 5094, 543, 4830, 6082, 269, 901, 1523, 540, 17174, 16285, 3788, 1271, 2221, 780, 2691, 519, 1007, 2136, 2276, 2229, 3459, 1818, 9388, 609, 7111, 1977, 11031, 267, 789, 3006, 16219, 1919, 789, 7948, 1405, 5838, 1765, 3697, 7863, 10122, 12406, 689, 1958, 549, 2286, 13896, 269, 12846, 267, 1256, 1498, 519, 772, 2529, 269, 6836, 547, 21907, 2474, 267, 789, 849, 6956, 602, 891, 11031, 1185, 519, 1318, 547, 1582, 3766, 4261, 766, 267, 2495, 789, 6417, 741, 4835, 12602, 269, 2334, 2856, 2968, 1876, 538, 476, 8146, 273, 950, 519, 10966, 7040, 9672, 602, 4095, 8315, 4371, 3656, 4567, 607, 2797, 2950, 4171, 8128, 941, 12600, 1369, 741, 11182, 780, 6637, 476, 274, 281, 5020, 15448, 2991, 6164, 625, 692, 16908, 4957, 13497, 585, 7111, 4892, 1739, 519, 19142, 540, 21308, 269, 1280, 1383, 267, 950, 513, 14316, 9896, 513, 14097, 524, 5338, 2244, 547, 519, 772, 2529, 1421, 789, 1131, 2356, 3858, 547, 882, 11229, 547, 513, 1808, 1858, 1305, 11735, 585, 873, 267, 1634, 607, 513, 30063, 269, 10251, 267, 891, 2127, 941, 4749, 1454, 4130, 982, 519, 8513, 8385, 13026, 676, 519, 14316, 267, 6028, 1447, 4055, 585, 10122, 543, 8105, 269, 3683, 942, 267, 811, 543, 811, 3043, 13896, 6410, 5196, 1412, 26132, 262, 3338, 267, 4929, 2417, 13253, 780, 6637, 476, 275, 281, 15486, 540, 18366, 910, 634, 4095, 12668, 692, 8601, 3646, 693, 19908, 267, 22195, 936, 2244, 946, 267, 2686, 3604, 267, 543, 7745, 14767, 3366, 547, 5208, 269, 3245, 827, 476, 6977, 271, 547, 476, 5002, 271, 267, 1896, 2101, 10617, 13264, 856, 2066, 519, 4279, 26111, 5473, 1585, 11031, 971, 607, 519, 13961, 26919, 267, 4258, 344, 26413, 267, 589, 1905, 22840, 267, 1290, 534, 3832, 267, 28833, 267, 543, 1866, 1996, 519, 772, 2529, 269, 4108, 269, 2368, 12959, 8507, 689, 23139, 804, 10449, 1282, 9467, 610, 1247, 10707, 267, 6466, 1866, 6565, 4364, 689, 20982, 6285, 1813, 547, 796, 5471, 13800, 13890, 538, 4505, 21308, 780, 3080, 4583, 6370, 729, 519, 11135, 540, 9741, 645, 662, 1941, 630, 10193, 5219, 547, 607, 595, 13831, 781, 7831, 5776, 264, 1141, 4937, 6723, 28226, 595, 13831, 19765, 13846, 519, 4222, 543, 8990, 540, 519, 5916, 4229, 540, 700, 18235, 267, 8832, 4258, 344, 26413, 267, 543, 589, 1905, 22840, 21847, 269, 3571, 3003, 10627, 30119, 729, 530, 21317, 856, 267, 16287, 835, 540, 519, 1034, 1713, 24984, 585, 7111, 1977, 4187, 780, 6637, 476, 276, 281, 8177, 543, 22684, 692, 4322, 7526, 7184, 12936, 1312, 5011, 269, 23897, 1343, 4503, 741, 2729, 267, 1519, 2021, 267, 1453, 267, 543, 11361, 1875, 18474, 520, 1218, 269, 3509, 7111, 1977, 4529, 11124, 4049, 9271, 267, 27200, 2757, 2081, 540, 1272, 269, 16828, 267, 519, 772, 2529, 269, 2229, 7142, 1034, 11031, 5196, 4130, 267, 811, 9678, 31681, 269, 1635, 519, 3735, 476, 5197, 271, 338, 267, 519, 772, 2529, 269, 8136, 1185, 17204, 610, 16876, 5176, 1169, 5706, 532, 14316, 269, 6736, 713, 267, 7111, 1977, 6891, 7283, 2178, 267, 8497, 3638, 1200, 527, 1137, 5103, 10373, 2591, 780, 9213, 267, 18939, 540, 1346, 945, 10692, 538, 519, 4095, 12668, 3136, 547, 8956, 741, 11937, 262, 23543, 267, 2324, 24091, 547, 8190, 2528, 267, 1893, 267, 543, 5389, 269, 6250, 1746, 15882, 267, 3140, 4609, 267, 543, 11504, 3872, 3292, 666, 948, 721, 1732, 5660, 543, 1451, 689, 713, 1950, 1974, 538, 1686, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 2136, 2276, 543, 4516, 723, 1279, 855, 1360, 1114, 12583, 540, 1894, 609, 519, 3312, 4961, 540, 519, 12052, 5211, 19438, 269, 5637, 2477, 22002, 21308, 609, 12075, 547, 3715, 2924, 547, 2244, 543, 2200, 282, 519, 4674, 729, 3226, 3500, 547, 1020, 538, 4516, 563, 763, 2136, 2276, 6444, 519, 16285, 540, 4095, 9082, 538, 476, 8146, 273, 950, 519, 2136, 2276, 10966, 7040, 12199, 538, 1937, 3122, 642, 269, 11908, 602, 519, 968, 13367, 531, 4095, 6082, 892, 1185, 3656, 4567, 607, 968, 335, 11823, 2950, 1369, 799, 741, 6392, 568, 12600, 1848, 2201, 741, 31681, 267, 2813, 676, 21308, 609, 519, 2136, 2276, 267, 12075, 1185, 12600, 6392, 267, 543, 713, 6392, 543, 782, 2924, 547, 2244, 1369, 519, 31681, 941, 968, 2254, 1152, 17019, 855, 16798, 676, 519, 2136, 2276, 2223, 2687, 547, 519, 5480, 563, 17387, 14688, 267, 519, 2136, 2276, 1705, 711, 9886, 2924, 547, 12075, 998, 21308, 267, 12075, 11603, 2924, 585, 2933, 269, 769, 713, 267, 519, 19679, 326, 1782, 2136, 2276, 6444, 519, 16285, 540, 519, 4095, 1004, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24465, 12668, 593, 519, 4279, 26111, 257, 607, 851, 540, 834, 19615, 1315, 13639, 1315, 2136, 2276, 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, 476, 277, 269, 274, 16827, 5675, 543, 8750, 532, 19662, 692, 2026, 513, 11001, 267, 17516, 7616, 568, 2629, 547, 1489, 707, 960, 543, 4434, 707, 4876, 269, 901, 3296, 786, 1683, 606, 7650, 540, 9886, 1603, 543, 7616, 3255, 267, 2519, 593, 1655, 2853, 543, 2994, 547, 948, 596, 8011, 538, 713, 8013, 1184, 269, 1284, 786, 2263, 1114, 2010, 540, 14828, 267, 875, 547, 2697, 1761, 2508, 619, 267, 543, 4388, 585, 13167, 8903, 18747, 269, 3958, 267, 649, 786, 4983, 2487, 3466, 543, 9840, 4478, 4081, 7616, 780, 15650, 540, 6182, 1218, 454, 2411, 692, 2467, 616, 1896, 6688, 540, 14828, 2139, 547, 3173, 267, 1519, 1384, 272, 269, 2878, 9359, 1575, 14828, 5093, 15380, 13752, 547, 2038, 13282, 518, 3173, 610, 1346, 9591, 1007, 22475, 267, 891, 14828, 4217, 538, 8720, 3937, 3790, 267, 10986, 23269, 267, 543, 824, 9276, 1644, 547, 22745, 513, 1382, 1982, 563, 273, 269, 2878, 19061, 14828, 5093, 1452, 14828, 1489, 1808, 1382, 3785, 609, 3989, 6859, 543, 28868, 269, 1358, 1419, 3382, 1463, 3790, 630, 324, 3052, 1421, 7727, 267, 2951, 267, 16045, 13180, 264, 607, 1134, 607, 9940, 3790, 2404, 609, 10647, 519, 1382, 563, 274, 269, 2878, 25284, 14828, 5093, 700, 24147, 982, 1788, 14828, 267, 1982, 14828, 2508, 2789, 10562, 3785, 1369, 513, 6626, 1382, 1858, 269, 5358, 14828, 666, 12732, 1896, 1296, 543, 949, 4125, 21769, 1063, 5238, 610, 22602, 563, 275, 269, 2878, 290, 10938, 14828, 5093, 4741, 14828, 3715, 7463, 1382, 7740, 6131, 547, 5466, 1950, 3621, 2055, 998, 23499, 4485, 269, 1452, 14828, 3335, 1489, 5989, 267, 4295, 6703, 267, 543, 11889, 3790, 267, 2059, 609, 1367, 1382, 3785, 780, 32575, 15783, 8750, 619, 454, 10900, 19030, 2414, 1265, 5078, 7616, 2959, 267, 2015, 519, 1739, 2200, 1384, 265, 2878, 293, 3985, 8041, 5093, 634, 2817, 23941, 540, 2657, 630, 25712, 295, 1070, 2817, 3163, 7690, 630, 10064, 293, 1070, 4972, 540, 16470, 630, 2710, 291, 1070, 543, 824, 5313, 3906, 2709, 1585, 9886, 3292, 13988, 609, 741, 5692, 2127, 563, 265, 2878, 7468, 10675, 13210, 5093, 17721, 13210, 971, 607, 519, 9291, 1299, 9253, 25475, 27176, 7690, 267, 16110, 7690, 267, 543, 7917, 8381, 9652, 7690, 1445, 593, 1880, 3390, 2127, 543, 4749, 2508, 1382, 3785, 563, 265, 2878, 32153, 12205, 5093, 3509, 3318, 7239, 267, 971, 607, 519, 1977, 16723, 5948, 543, 1977, 11906, 5980, 267, 2709, 9886, 3255, 585, 2818, 563, 265, 2878, 290, 2734, 622, 13384, 832, 5093, 12752, 4891, 3006, 1683, 2883, 1489, 585, 1382, 3785, 4143, 547, 741, 1870, 4690, 780, 2691, 10442, 1761, 2508, 619, 267, 2708, 12972, 609, 707, 1382, 3853, 543, 2327, 17356, 609, 707, 9872, 781, 4507, 3823, 7526, 540, 1719, 543, 7214, 3959, 780, 290, 2761, 532, 21988, 1160, 1842, 1023, 454, 10900, 19567, 288, 2178, 11556, 2882, 519, 1739, 2609, 1384, 2162, 2608, 7072, 543, 16930, 13667, 338, 22177, 1607, 3296, 1058, 5693, 24808, 519, 1966, 1373, 9619, 267, 922, 4644, 267, 543, 519, 2949, 3804, 540, 519, 6069, 1353, 269, 2142, 2386, 547, 5031, 1022, 3209, 3344, 610, 5499, 2409, 6964, 780, 2162, 2608, 25889, 543, 19043, 22177, 17809, 728, 2796, 676, 28388, 3105, 1382, 593, 519, 1888, 543, 7713, 1946, 707, 1935, 3091, 2189, 4030, 610, 8309, 547, 5571, 11407, 269, 23227, 622, 23440, 609, 519, 3332, 543, 13712, 1883, 2090, 602, 1217, 707, 19165, 543, 8097, 1374, 780, 2162, 2608, 7093, 14083, 4578, 22177, 25147, 16861, 1239, 950, 2009, 547, 6542, 23250, 543, 1628, 17258, 269, 1403, 28998, 267, 4766, 1644, 12681, 6901, 610, 1991, 1995, 602, 7028, 707, 2702, 547, 14892, 519, 9709, 7634, 780, 2162, 2608, 10932, 5071, 543, 10613, 22177, 19547, 841, 519, 8097, 1544, 267, 1519, 3732, 2450, 9273, 267, 1379, 9382, 267, 19684, 2994, 267, 543, 8579, 4485, 269, 17372, 1761, 7687, 543, 4244, 3137, 585, 4767, 2360, 269, 3550, 10220, 609, 5683, 4808, 543, 6042, 12044, 1480, 5396, 267, 3662, 10304, 267, 543, 19777, 23245, 780, 2162, 2608 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27662, 1216, 568, 519, 2707, 540, 1434, 1072, 269, 14755, 6704, 2973, 543, 6986, 1216, 267, 621, 568, 1256, 1732, 547, 946, 519, 1482, 2298, 540, 1216, 585, 28876, 543, 5986, 269, 12305, 532, 513, 1216, 19288, 1062, 568, 519, 1655, 1259, 547, 2327, 602, 596, 723, 513, 11931, 3761, 540, 2973, 269, 1656, 6986, 1216, 585, 3232, 4616, 543, 711, 1152, 585, 6704, 269, 589, 19288, 1062, 5849, 602, 1216, 568, 540, 519, 1318, 2298, 547, 1489, 2635, 2713, 269, 6271, 8449, 1271, 2460, 540, 621, 568, 547, 2327, 602, 519, 1216, 568, 1863, 689, 17694, 269, 2334, 1522, 711, 1860, 1072, 855, 666, 3441, 519, 12992, 543, 519, 21818, 1062, 269, 634, 8545, 568, 849, 513, 2601, 585, 16459, 513, 1216, 19288, 1062, 585, 519, 2898, 2777, 563, 3963, 596, 1590, 1902, 538, 513, 2898, 2777, 454, 4248, 19288, 1062, 786, 581, 2312, 689, 713, 2376, 563, 306, 12522, 1216, 19288, 585, 6704, 454, 29995, 267, 519, 2749, 1216, 3761, 2501, 689, 513, 2126, 2030, 602, 17838, 621, 883, 1494, 762, 1216, 269, 1717, 267, 621, 949, 1869, 2270, 930, 6464, 899, 20841, 543, 21973, 267, 799, 616, 3773, 1282, 519, 22729, 1184, 1927, 269, 2368, 8407, 899, 1291, 2097, 689, 519, 12227, 267, 543, 1373, 17694, 666, 3441, 519, 12992, 269, 5047, 267, 1291, 568, 3810, 17672, 547, 1072, 269, 7025, 5533, 666, 849, 2333, 519, 4452, 540, 17694, 538, 1216, 543, 1082, 13802, 602, 798, 711, 979, 2476, 1282, 519, 1216, 22729, 1184, 693, 519, 1216, 2126, 2030, 269, 634, 2898, 2777, 1216, 1062, 666, 4894, 519, 17694, 543, 5739, 6464, 607, 1134, 607, 519, 13802, 689, 1216, 543, 1118, 621, 607, 1454, 6986, 543, 10351, 6954, 607, 2009, 865, 602, 621, 5849, 1434, 1072, 563, 306, 12522, 1216, 585, 28876, 543, 5986, 454, 10214, 952, 596, 4235, 2922, 543, 6986, 1216, 267, 621, 1281, 711, 2327, 2347, 1072, 4027, 269, 1717, 267, 621, 6971, 519, 8458, 540, 9991, 7210, 547, 513, 1390, 6708, 1317, 540, 1034, 540, 519, 1072, 2042, 269, 19732, 523, 689, 4057, 2298, 6704, 1216, 269, 1809, 952, 519, 1216, 1031, 585, 28876, 568, 711, 2973, 267, 621, 666, 2014, 824, 1072, 2042, 899, 2960, 3676, 543, 11959, 269, 9603, 547, 519, 17694, 1459, 538, 621, 269, 1280, 1383, 267, 4430, 20841, 538, 1216, 666, 2014, 3750, 543, 2960, 16698, 269, 4634, 952, 596, 4235, 2973, 1216, 267, 855, 519, 1216, 1031, 585, 5986, 568, 711, 540, 519, 1318, 2298, 267, 621, 786, 14710, 707, 3646, 547, 3251, 2635, 269, 589, 2898, 2777, 1216, 19288, 1062, 13000, 519, 3003, 7622, 1216, 3761, 543, 1625, 5809, 621, 585, 4180, 2949, 1434, 1072, 563, 16524, 518, 1272, 585, 14233, 543, 519, 454, 763, 17694, 538, 1216, 616, 3810, 1351, 4592, 633, 267, 543, 936, 942, 789, 666, 3441, 7622, 14233, 269, 1656, 519, 3003, 21818, 1062, 676, 21006, 519, 12992, 543, 3937, 269, 634, 17694, 666, 2182, 523, 519, 1216, 543, 1118, 7738, 2352, 607, 865, 2355, 543, 28052, 757, 798, 711, 23271, 3362, 538, 2182, 1216, 269, 674, 2830, 1229, 1216, 568, 2571, 1216, 602, 1281, 711, 30599, 1372, 519, 12992, 543, 18274, 873, 5488, 563, 8794, 513, 21438, 1216, 19288, 454, 17882, 693, 1753, 786, 798, 2476, 609, 9140, 2973, 6704, 1216, 14095, 538, 5068, 454, 321, 2714, 956, 543, 4688, 519, 1604, 2094, 1034, 540, 519, 5068, 14569, 616, 711, 0, 17269, 7563, 295, 2177, 307, 3008, 6730, 19200, 9898, 454, 1103, 3210, 547, 519, 476, 1001, 278, 10758, 5456, 27486, 16635, 267, 27079, 9061, 902, 5249, 609, 513, 2039, 540, 3309, 13538, 267, 2199, 3506, 543, 15076, 547, 2263, 875, 7111, 1977, 1004, 723, 1044, 6719, 547, 5375, 9458, 267, 3226, 998, 519, 26278, 21517, 4371, 693, 5238, 899, 519, 3703, 7732, 267, 519, 3703, 7467, 543, 519, 2817, 31845, 7467, 269, 10705, 891, 6337, 1397, 513, 2686, 4070, 676, 519, 23031, 910, 2870, 606, 3239, 540, 7111, 4892, 602, 22587, 547, 513, 11509, 19525, 267, 2864, 982, 10452, 519, 4641, 540, 519, 5396, 262, 2729, 269, 3776, 5171, 15527, 609, 1582, 268, 1636, 20137, 602, 1118, 2933, 519, 1641, 540, 741, 1378, 6386, 267, 538, 513, 2039, 540, 4241, 543, 4190, 2592, 267, 10268, 7258, 519, 21287, 5169, 1023, 563, 23192, 3254, 693, 5204, 517, 5600, 538, 645, 1370, 5112, 267, 1141, 623, 665, 1695, 2632, 553, 18423, 1282, 1200, 476, 14065, 277, 3643, 547, 5507, 267, 713, 4190, 543, 1008, 25607, 14266, 849, 24964, 547, 10430, 267, 547, 581, 3254, 693, 519, 1635, 516, 20989, 538, 853, 12448, 338, 267, 538, 5698, 609, 519, 10418, 585, 13458, 543, 18366, 5525, 269, 769, 5437, 476, 1001, 279, 267, 18161, 7563, 295, 2177, 307, 3008, 6730, 19200, 9898, 729, 4378, 10696, 609, 513, 9752, 543, 4804, 13815, 676, 519, 3703, 7732, 563, 12812, 1934, 547, 4647, 519, 1401, 22128, 18280, 4084, 563, 12812, 1934, 585, 513, 5816, 2022, 827, 519, 8858, 517, 563, 19425, 633, 17421, 281, 634, 7323, 525, 590, 830, 517, 910, 8666, 676, 1635, 1258, 15053, 517, 267, 476, 5002, 278, 269, 3703, 7732, 269, 12634, 17421, 281, 2813, 676, 14986, 1325, 7203, 807, 543, 13227, 1117, 676, 3627, 29154, 321, 269, 0, 293, 1170, 675, 1530, 531, 1218, 4563, 14315, 454, 5353, 531, 1218, 2149, 707, 4522, 689, 9178, 538, 513, 1928, 1652, 543, 2922, 6073, 269, 674, 1170, 675, 13021, 1218, 616, 5068, 23541, 4294, 547, 1394, 4522, 602, 2149, 519, 24146, 7252, 269, 1530, 531, 1218, 957, 607, 513, 2182, 11064, 547, 2061, 1426, 543, 4551, 689, 11579, 7992, 519, 5694, 9240, 7174, 543, 4929, 9178, 563, 14399, 4324, 7494, 689, 891, 10097, 267, 2656, 267, 543, 1279, 18835, 5959, 1416, 3681, 269, 589, 1906, 3275, 1310, 707, 8628, 12387, 1513, 2408, 267, 596, 949, 2253, 7311, 713, 21973, 11656, 3043, 13021, 656, 1570, 547, 741, 4514, 9240, 7174, 269, 1635, 27575, 513, 5959, 13570, 267, 15799, 610, 1426, 616, 15286, 689, 3478, 16290, 543, 4929, 9178, 563, 2691, 519, 29365, 543, 9240, 7174, 538, 24855, 4522, 616, 4904, 1282, 519, 535, 1170, 675, 13021, 1218, 5650, 267, 621, 5932, 513, 13104, 602, 11151, 4551, 689, 22467, 7992, 543, 621, 1797, 602, 596, 616, 909, 547, 476, 2420, 2053, 1447, 2693, 547, 1020, 9178, 602, 666, 2490, 883, 5694, 19659, 269, 898, 849, 2306, 707, 4522, 1454, 4443, 547, 2973, 3927, 1317, 596, 616, 711, 3478, 1426, 5536, 16290, 538, 2182, 547, 3914, 4025, 269, 901, 2126, 568, 2500, 585, 1453, 267, 12322, 543, 4079, 563, 1432, 1772, 634, 674, 1170, 675, 1530, 531, 1218, 2776, 665, 539, 675, 888, 290, 9051, 786, 581, 17332, 883, 707, 5023, 547, 1832, 519, 4522, 1373, 5701, 3819, 269, 13689, 593, 519, 1570, 1031, 547, 13021, 707, 4522, 267, 513, 4544, 1769, 1522, 581, 2838, 610, 789, 949, 1305, 676, 2933, 269, 898, 568, 513, 2656, 267, 2241, 543, 1928, 1652, 5650, 543, 938, 3318, 24782, 693, 938, 4563, 14315, 16758, 786, 2327, 707, 1126, 568, 6899, 2429, 563, 7617, 29726, 9701, 674, 1170, 675, 1530, 531, 1218, 2142, 11930, 1677, 888, 10214, 952, 596, 723, 3144, 32055, 1416, 540, 707, 5711, 1072, 267, 596, 1223, 1869, 581, 513, 11134, 585, 519, 535, 1170, 675, 13021, 1218, 5650, 269, 2368, 1004, 723, 6923, 2620, 535, 1170, 999, 543, 29365, 1247, 1866, 723, 6923, 13719, 3283, 267, 596, 2760, 917, 2394, 513, 2347, 6514, 814, 1044, 5645, 856, 563, 7617, 3657, 519, 22436, 543, 32539, 540, 15775, 674, 1170, 675, 1530, 531, 1218, 888, 288, 13021, 656, 1522, 2887, 1055, 1310, 3670, 3275, 1107, 713, 2356, 4523, 269, 769, 1840, 547, 707, 6296, 5959, 2638, 1575, 267, 9683, 519, 11290, 5781, 568, 513, 1434, 2856, 547, 1118, 2386, 707, 13021, 656, 568, 538, 1434, 2783, 269, 3683, 942, 267, 519, 15098, 786, 5957, 1524, 543, 786, 991, 547, 581, 31272, 29736, 563, 293, 1170, 675, 13021, 1218, 723, 513, 1164, 4110, 540, 15006, 543, 666, 2063, 3275, 610, 1256, 1296, 1247, 8066, 909, 547, 3232, 4189, 267, 21400, 267, 24146, 543, 7738, 269, 10572, 3604, 949, 849, 1404, 513, 1909, 538, 875, 3728, 519, 8825, 15098, 31273, 1524, 269, 589, 535, 1170, 675, 13021, 656, 602, 729, 2352, 547, 1747, 1522, 723, 513, 10156, 14438, 269, 24367, 707, 13021, 656, 779, 1072, 568, 1655, 12913, 676, 2348, 2834, 5959, 2638, 5725, 269, 0, 4596, 299, 3036, 4696, 302, 9501, 305, 5058, 306, 2443, 4826, 30150, 3652, 267, 5293, 676, 12548, 25951, 7780, 1988, 630, 5425, 308, 1070, 2832, 547, 948, 2950, 946, 1216, 19100, 543, 7561, 563, 24375, 940, 2904, 476, 272, 267, 11483, 308, 5561, 786, 581, 2838, 547, 1246, 3743, 14450, 2853, 547, 948, 2226, 2635, 8916, 269, 11483, 308, 3081, 1216, 30150, 3652, 948, 2146, 2818, 960, 1927, 547, 2272, 585, 16756, 532, 1216, 7727, 267, 2916, 13260, 543, 1630, 4040, 5095, 563, 4322, 4808, 786, 3251, 538, 1860, 2394, 4239, 269, 476, 1428, 563, 2080, 616, 3670, 1883, 1216, 30150, 3652, 596, 991, 547, 917, 912, 268, 1411, 949, 1216, 909, 547, 1614, 2395, 513, 3018, 630, 9767, 3442, 519, 2395, 994, 268, 3245, 2904, 476, 272, 547, 4239, 269, 476, 1428, 267, 1216, 1354, 476, 1015, 513, 6230, 269, 610, 1310, 476, 277, 533, 6230, 269, 547, 2569, 21381, 454, 268, 5213, 1406, 1577, 1216, 7535, 593, 2182, 7252, 610, 2095, 1524, 8937, 1562, 454, 268, 29766, 682, 1136, 20057, 2401, 1949, 1369, 476, 1015, 2395, 454, 268, 2422, 513, 9505, 11325, 30979, 950, 11067, 4376, 609, 513, 25652, 454, 268, 11162, 2182, 7252, 630, 7945, 607, 5397, 1811, 267, 2427, 19789, 802, 543, 1273, 3930, 264, 609, 1216, 1152, 952, 972, 568, 513, 1857, 1072, 543, 3106, 6161, 454, 293, 19691, 547, 16783, 609, 1346, 3652, 1223, 1267, 538, 513, 5386, 540, 909, 547, 1269, 1911, 563, 6097, 547, 11483, 308, 267, 1216, 568, 513, 10475, 4199, 538, 519, 10859, 268, 541, 573, 2916, 540, 12548, 269, 19663, 2950, 948, 1628, 5726, 2802, 545, 609, 1216, 30150, 3652, 547, 2061, 519, 3653, 540, 1216, 563, 5425, 308, 3081, 602, 936, 519, 1985, 476, 2004, 1296, 267, 519, 2146, 2115, 547, 4688, 811, 982, 476, 1015, 267, 1822, 23505, 1922, 324, 564, 829, 1032, 540, 1216, 547, 2743, 1279, 3856, 1216, 4199, 3853, 269, 4826, 30150, 4808, 616, 4397, 547, 948, 1118, 909, 476, 1015, 260, 540, 602, 4398, 3804, 563, 2690, 811, 1344, 827, 11483, 308, 779, 1216, 30150, 4808, 267, 3643, 519, 11483, 308, 2546, 269, 0, 8505, 5782, 5344, 6054, 616, 3335, 2838, 950, 1004, 979, 13383, 585, 7694, 610, 11776, 5301, 269, 15775, 873, 20240, 689, 519, 2197, 779, 2377, 29983, 538, 519, 5177, 5849, 602, 8128, 666, 581, 1978, 602, 891, 2123, 610, 5010, 6054, 616, 9758, 543, 711, 16995, 563, 2690, 3236, 267, 8076, 908, 18825, 779, 4110, 15149, 1797, 741, 1007, 12820, 666, 3972, 602, 789, 798, 22992, 3180, 513, 4110, 269, 15706, 602, 1810, 1406, 1205, 741, 6054, 6461, 5344, 949, 3068, 7965, 10024, 1776, 2197, 610, 581, 15653, 689, 3257, 865, 15587, 563, 21615, 29983, 1140, 652, 566, 568, 519, 1184, 540, 2357, 4328, 519, 13597, 540, 513, 3656, 3561, 538, 835, 2197, 865, 602, 621, 786, 581, 7608, 538, 1776, 269, 901, 568, 2838, 607, 621, 568, 1419, 2352, 585, 519, 4143, 6392, 27137, 607, 606, 16108, 610, 519, 2229, 23121, 3313, 2436, 513, 3561, 568, 9758, 610, 711, 269, 8307, 950, 922, 13597, 814, 1044, 10294, 676, 519, 22782, 540, 519, 2357, 4328, 10986, 786, 519, 3561, 581, 2808, 1140, 6479, 563, 2005, 568, 1271, 547, 4063, 602, 972, 616, 1082, 2474, 1031, 547, 4766, 3561, 1140, 652, 566, 267, 1519, 17452, 267, 3656, 5314, 267, 19027, 267, 16826, 532, 267, 543, 711, 541, 5314, 269, 7490, 798, 711, 1205, 11821, 607, 891, 2474, 1419, 782, 1611, 519, 1482, 3364, 563, 4131, 779, 2015, 519, 1383, 540, 513, 3703, 1367, 17596, 741, 7365, 15149, 1140, 6479, 865, 602, 789, 666, 1847, 547, 3624, 269, 1677, 2347, 713, 1184, 267, 519, 3561, 1590, 581, 20240, 676, 1312, 519, 674, 4596, 630, 23873, 14579, 8433, 264, 543, 513, 1151, 545, 3218, 610, 711, 776, 1857, 1354, 519, 4457, 2377, 29983, 786, 1140, 652, 547, 621, 269, 8307, 1287, 786, 4457, 8128, 21028, 519, 7365, 15149, 779, 13597, 563, 10303, 540, 875, 6213, 519, 1184, 568, 267, 972, 616, 1614, 3268, 602, 991, 547, 581, 17298, 912, 2467, 616, 1978, 6054, 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 ]

[ 1082, 3457, 1810, 1406, 723, 25494, 16788, 269, 4475, 267, 930, 1004, 949, 1616, 547, 946, 15261, 19712, 3079, 563, 292, 22313, 568, 519, 1034, 1455, 1826, 540, 2199, 1858, 3060, 543, 568, 1031, 538, 1082, 5321, 543, 4213, 269, 898, 1568, 676, 2182, 342, 3931, 513, 3926, 547, 513, 18760, 543, 568, 811, 7123, 982, 15261, 19712, 269, 898, 568, 849, 811, 7199, 982, 15261, 19712, 267, 855, 1082, 5321, 1869, 946, 621, 547, 1921, 547, 519, 4950, 563, 2691, 4259, 909, 606, 25494, 3060, 267, 621, 568, 1271, 547, 3442, 519, 2953, 1826, 585, 707, 2115, 269, 1703, 616, 1114, 15791, 602, 1489, 1114, 12451, 543, 6771, 11250, 269, 898, 568, 849, 1271, 547, 723, 513, 3060, 8818, 3556, 593, 1142, 2780, 547, 2327, 1697, 5106, 269, 1411, 1058, 849, 723, 28456, 3301, 8704, 593, 1142, 2780, 4448, 547, 519, 25494, 3060, 269, 901, 3301, 786, 2061, 8290, 543, 3060, 14286, 563, 294, 580, 629, 527, 25494, 568, 519, 5767, 4528, 540, 25494, 269, 898, 666, 4483, 1239, 693, 11250, 540, 909, 547, 476, 1911, 25253, 1186, 543, 568, 1419, 1031, 538, 1804, 16904, 269, 901, 1826, 540, 552, 22313, 3096, 29640, 276, 543, 29640, 277, 15791, 547, 1921, 3457, 269, 634, 3432, 540, 717, 580, 629, 527, 25494, 568, 13380, 547, 602, 540, 1164, 18286, 4950, 4296, 269, 898, 568, 1419, 1031, 538, 3381, 10912, 1949, 563, 292, 22313, 568, 513, 1434, 3903, 585, 1753, 3755, 945, 1616, 513, 6325, 4276, 547, 519, 5769, 269, 1717, 267, 596, 1058, 581, 3222, 602, 621, 568, 711, 2141, 2009, 547, 1305, 909, 513, 1753, 3060, 609, 12616, 4950, 1569, 269, 2368, 7653, 2154, 602, 596, 1921, 707, 3926, 547, 513, 18760, 269, 1717, 267, 519, 1034, 6325, 1259, 547, 1921, 547, 519, 5769, 568, 998, 25494, 563, 28053, 983, 4276, 547, 519, 4950, 2636, 596, 547, 1569, 519, 5769, 1510, 606, 4890, 2168, 10814, 269, 1306, 971, 267, 621, 3884, 1406, 12155, 547, 5385, 543, 5989, 2042, 602, 666, 1860, 2757, 4950, 1569, 269, 901, 2029, 666, 849, 4196, 607, 513, 19307, 952, 596, 616, 538, 606, 1858, 602, 568, 711, 6039, 676, 513, 6378, 682, 1078, 1899, 563, 4913, 267, 10408, 4276, 547, 519, 4950, 568, 711, 1863, 269, 8426, 983, 1239, 7426, 1419, 20818, 513, 3970, 593, 519, 2179, 540, 1239, 602, 596, 666, 946, 593, 513, 10865, 4493, 269, 1403, 596, 979, 936, 713, 3970, 267, 596, 949, 1439, 909, 609, 2362, 10865, 11033, 610, 606, 2272, 9505, 6658, 269, 9747, 267, 621, 779, 2629, 602, 596, 1174, 519, 7182, 543, 4170, 540, 10408, 4950, 1354, 19142, 909, 585, 513, 3028, 563, 28053, 983, 1239, 568, 1239, 2366, 547, 707, 6049, 1210, 519, 10408, 3060, 269, 634, 10408, 3060, 568, 519, 1034, 2442, 1826, 540, 14479, 269, 769, 476, 1708, 271, 267, 936, 476, 3445, 260, 540, 519, 2551, 786, 581, 1210, 513, 5985, 3926, 547, 1569, 519, 4950, 269, 898, 779, 2653, 547, 4647, 8924, 543, 2638, 707, 4757, 267, 855, 707, 6049, 779, 10408, 1239, 4276, 568, 3908, 563, 2691, 596, 2461, 4448, 547, 519, 4950, 267, 513, 1591, 13486, 786, 581, 2282, 596, 269, 901, 2337, 547, 1711, 513, 6793, 5365, 267, 799, 666, 1118, 707, 4276, 5488, 543, 811, 6325, 269, 6271, 4324, 540, 10408, 2029, 568, 602, 621, 666, 581, 1031, 547, 13739, 31923, 6786, 269, 2060, 519, 1318, 3926, 267, 596, 666, 946, 519, 5365, 547, 1921, 547, 824, 31923, 3457, 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 ]

[ 15571, 7457, 8416, 264, 607, 513, 25367, 476, 272, 26199, 13798, 8595, 1062, 269, 4647, 623, 969, 5297, 6176, 8232, 543, 281, 674, 22835, 834, 590, 1712, 22438, 341, 773, 2580, 476, 1704, 12004, 10455, 1382, 540, 3168, 2984, 607, 4317, 667, 11395, 540, 7746, 269, 5871, 11775, 540, 4317, 10819, 267, 9793, 1070, 476, 15836, 268, 16409, 269, 7209, 7944, 269, 9477, 593, 2818, 281, 10952, 5561, 269, 8631, 540, 513, 544, 6471, 540, 513, 6644, 540, 476, 279, 263, 27840, 3334, 269, 11239, 1702, 281, 10158, 543, 12016, 268, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 23852, 29803, 1315, 22960, 1299, 13910, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 6092, 5149, 281, 12724, 3547, 543, 808, 8811, 611, 630, 1556, 628, 268, 1321, 628, 2578, 3753, 9460, 2020, 7072, 912, 5970, 596, 2479, 9289, 1018, 621, 1131, 581, 899, 547, 979, 593, 513, 1279, 3460, 267, 6849, 1082, 2591, 2059, 519, 1259, 267, 782, 538, 519, 2012, 540, 707, 4984, 286, 4438, 519, 5664, 12698, 267, 713, 5949, 3833, 1419, 256, 5565, 2101, 3909, 5322, 602, 3576, 1747, 1282, 713, 942, 941, 1572, 519, 12724, 3547, 543, 808, 8811, 611, 269, 2913, 781, 2263, 891, 1079, 2035, 543, 1174, 741, 4644, 538, 1686, 780, 4089, 476, 272, 281, 4197, 16241, 4762, 26555, 454, 1103, 519, 2250, 267, 1004, 689, 1114, 10764, 3006, 10692, 1996, 1142, 824, 1317, 789, 5156, 538, 1114, 10971, 610, 4553, 1114, 10752, 269, 901, 3366, 547, 7526, 1634, 607, 13411, 10617, 610, 3909, 10617, 269, 5565, 1271, 2474, 649, 786, 1451, 616, 1412, 290, 6350, 3547, 262, 543, 1412, 297, 8811, 611, 9538, 692, 4089, 476, 273, 281, 634, 12724, 3547, 1107, 1323, 11137, 454, 763, 12724, 3547, 7018, 1063, 519, 476, 1556, 628, 543, 476, 1724, 628, 5553, 950, 3864, 10271, 4956, 547, 1491, 1394, 1852, 540, 13243, 543, 519, 10513, 8092, 689, 7332, 4341, 269, 1358, 4941, 1569, 547, 4609, 2808, 10723, 676, 741, 5132, 269, 1452, 30295, 3238, 5215, 540, 29843, 543, 7980, 945, 24389, 593, 17890, 15322, 547, 3914, 11397, 3338, 780, 4089, 476, 274, 281, 30258, 19992, 519, 12724, 3547, 454, 2467, 941, 1896, 4128, 1946, 17417, 8359, 547, 7119, 538, 519, 12724, 3547, 269, 2290, 3119, 2601, 729, 4984, 282, 789, 5433, 9141, 547, 29379, 13411, 4609, 269, 3958, 267, 972, 941, 2804, 18144, 267, 971, 607, 11543, 1007, 11182, 543, 2200, 269, 14936, 267, 2797, 2188, 5129, 513, 1909, 1932, 267, 1519, 9591, 1379, 6384, 1851, 15194, 3885, 543, 25267, 780, 4089, 476, 275, 281, 8177, 540, 519, 12724, 3547, 454, 7212, 519, 12724, 19470, 7620, 4810, 1967, 267, 789, 5555, 4503, 1034, 540, 519, 8513, 6591, 936, 942, 269, 1717, 267, 519, 1764, 4682, 3564, 4108, 9271, 269, 4980, 12147, 267, 2342, 4718, 2799, 4598, 547, 12428, 5931, 267, 9443, 267, 543, 1148, 1813, 547, 4205, 1282, 519, 12724, 3547, 269, 8859, 1227, 267, 4123, 11507, 4957, 267, 3056, 547, 2208, 538, 1978, 4525, 269, 10598, 8271, 267, 519, 5208, 8507, 538, 7092, 543, 2669, 585, 9118, 2043, 780, 4089, 476, 276, 281, 808, 8811, 611, 1107, 9502, 543, 16700, 935, 8526, 454, 3086, 1577, 781, 2490, 938, 3007, 2509, 808, 8811, 611, 267, 799, 2501, 689, 9099, 2245, 269, 10705, 29144, 267, 808, 8811, 611, 2965, 1797, 1412, 11584, 24327, 262, 2864, 982, 1412, 3128, 344, 2112, 10086, 4352, 930, 17119, 1235, 4612, 621, 8335, 269, 898, 666, 3277, 547, 1585, 3029, 540, 6560, 1369, 13951, 267, 2146, 267, 610, 6626, 2486, 269, 4107, 11932, 267, 808, 8811, 611, 1281, 711, 7873, 821, 967, 4593, 3234, 3729, 11318, 610, 18483, 855, 8992, 4708, 267, 5126, 267, 543, 5683, 2932, 780, 4089, 476, 277, 281, 8466, 12745, 540, 808, 8811, 611, 454, 7628, 519, 2038, 2395, 540, 5771, 267, 12356, 5185, 11685, 1247, 10825, 741, 5132, 269, 1306, 513, 1267, 267, 17872, 12959, 2968, 2556, 267, 3976, 4758, 4473, 547, 519, 1523, 540, 808, 8811, 611, 269, 13536, 267, 896, 7810, 4341, 267, 12356, 1586, 1336, 2933, 8165, 585, 7115, 543, 1582, 24148, 267, 1045, 3183, 808, 8811, 611, 2899, 811, 780, 6962, 912, 18698, 3140, 2621, 899, 519, 12724, 3547, 543, 808, 8811, 611, 2337, 721, 1732, 10146, 875, 7239, 723, 7960, 998, 4655, 543, 9316, 2066, 3909, 3515, 269, 2755, 1312, 2671, 10486, 607, 3909, 9620, 267, 1620, 741, 2189, 8658, 2488, 3407, 4030, 883, 10120, 1686, 543, 4207, 2152, 4478, 3961, 267, 3661, 1949, 267, 543, 2518, 1894, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 476, 272, 5808, 12984, 853, 269, 18536, 888, 268, 476, 273, 853, 269, 18536, 12984, 333, 1406, 9721, 454, 268, 476, 274, 853, 269, 18536, 779, 966, 2888, 543, 21001, 3380, 454, 268, 476, 275, 853, 269, 18536, 14119, 730, 9721, 9177, 20553, 4168, 16497, 454, 268, 476, 276, 853, 269, 18536, 12984, 8550, 32588, 1242, 607, 513, 12142, 454, 268, 476, 277, 12142, 18536, 454, 268, 476, 278, 5808, 12984, 12142, 18536, 888, 268, 476, 279, 7216, 5020, 454, 268, 476, 280, 3416, 331, 8491, 607, 513, 24635, 454, 268, 476, 1015, 15213, 9824, 16406, 11910, 532, 454, 268, 476, 1556, 17030, 776, 4518, 454, 268, 476, 1321, 12280, 543, 22684, 281, 12142, 18536, 779, 4303, 454, 268, 476, 1724, 12142, 18536, 454, 268, 476, 1691, 1548, 1705, 853, 269, 18536, 798, 286, 5808, 729, 646, 19037, 286, 12700, 267, 1686, 543, 811, 593, 8581, 779, 19121, 23920, 454, 268, 476, 1428, 476, 1015, 1919, 547, 917, 827, 519, 1483, 853, 269, 18536, 454, 268, 476, 1626, 476, 272, 269, 18536, 729, 711, 9721, 454, 268, 476, 1704, 476, 273, 269, 18536, 729, 513, 10553, 454, 268, 476, 1240, 476, 274, 269, 18536, 4862, 9739, 454, 268, 476, 866, 476, 275, 269, 18536, 15189, 547, 2048, 338, 3089, 513, 812, 779, 28244, 20371, 268, 476, 736, 476, 276, 269, 18536, 1185, 22649, 454, 268, 476, 2641, 476, 277, 269, 18536, 1705, 1945, 796, 618, 542, 762, 454, 268, 476, 2420, 476, 278, 269, 18536, 5918, 8215, 609, 546, 745, 1749, 454, 268, 476, 2537, 476, 279, 269, 18536, 1500, 2696, 9153, 454, 268, 476, 2190, 476, 280, 269, 18536, 2760, 5018, 513, 695, 600, 13702, 454, 268, 476, 1839, 476, 1015, 269, 18536, 1705, 711, 5397, 519, 15315, 856, 540, 8581, 454, 268, 476, 2918, 853, 269, 18536, 779, 5020, 12142, 18536, 568, 519, 19121, 23920, 540, 8581, 269, 670, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 6350, 3547, 543, 808, 8811, 611, 630, 1556, 628, 268, 1321, 628, 5553, 9460, 17983, 607, 851, 540, 834, 19615, 1315, 9099, 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, 7689, 476, 272, 281, 4197, 31044, 9442, 8693, 692, 5331, 596, 2811, 4730, 513, 3014, 609, 707, 2828, 1282, 12424, 269, 1677, 3094, 267, 3025, 2115, 547, 5968, 3927, 910, 4687, 1344, 267, 6947, 5402, 267, 543, 2324, 1927, 269, 6153, 2792, 2337, 1711, 513, 2318, 5790, 1141, 3025, 7959, 12595, 543, 4862, 269, 901, 1523, 849, 10039, 547, 4213, 256, 4653, 267, 649, 3513, 1451, 827, 10721, 2792, 2916, 267, 799, 4016, 547, 875, 1004, 1369, 513, 2754, 2671, 1344, 543, 960, 1927, 547, 2743, 741, 3853, 269, 2913, 781, 2263, 2185, 1883, 3344, 540, 513, 2178, 10721, 2792, 2916, 780, 272, 269, 7046, 1145, 281, 3807, 899, 950, 596, 1404, 3756, 693, 12424, 267, 1930, 2792, 1797, 602, 1169, 2319, 4759, 666, 2769, 741, 4555, 11884, 269, 1879, 5520, 1745, 6899, 4687, 741, 8369, 543, 4145, 267, 789, 616, 811, 2693, 547, 3565, 5499, 2093, 269, 1280, 1383, 267, 4952, 1373, 851, 540, 513, 1895, 1788, 693, 1153, 1141, 3025, 8843, 741, 2189, 5380, 1107, 9327, 1405, 602, 1291, 547, 2870, 1945, 5963, 5863, 286, 2334, 781, 4010, 1018, 4523, 538, 3549, 609, 606, 1930, 2792, 2916, 563, 273, 269, 11565, 281, 8490, 3972, 1851, 9164, 5849, 602, 3025, 11099, 538, 1142, 824, 781, 5759, 543, 15752, 269, 1403, 2576, 2306, 513, 12161, 267, 3079, 540, 3478, 13347, 267, 1866, 2709, 948, 543, 1489, 269, 2311, 1153, 267, 1589, 827, 875, 1454, 4443, 621, 568, 547, 12840, 593, 3785, 950, 972, 781, 8994, 3972, 1063, 15032, 269, 6684, 267, 4213, 8853, 950, 32283, 619, 3494, 538, 835, 1776, 543, 960, 1927, 4724, 1455, 6859, 563, 274, 269, 3117, 29548, 281, 5620, 596, 2479, 5129, 513, 3014, 1141, 3652, 6854, 4657, 30122, 286, 898, 1131, 581, 14845, 543, 24858, 267, 1318, 286, 14992, 991, 5812, 2792, 1932, 269, 13068, 6788, 543, 2834, 10311, 2327, 3025, 13978, 593, 3950, 543, 17358, 741, 5107, 269, 1306, 1053, 267, 2348, 5812, 4808, 543, 5955, 2636, 721, 547, 2087, 938, 2773, 543, 3914, 4081, 1967, 563, 275, 269, 30880, 281, 15526, 814, 3407, 4030, 547, 2671, 267, 7488, 540, 2085, 610, 2990, 269, 26451, 782, 9739, 11942, 5876, 267, 5647, 267, 543, 6278, 269, 5994, 7700, 707, 13085, 2856, 585, 513, 2257, 4023, 1788, 543, 7487, 621, 1831, 513, 4641, 1317, 3025, 15548, 8449, 269, 15765, 9525, 5012, 547, 6793, 4296, 543, 3152, 10781, 1312, 3330, 543, 3544, 519, 4928, 780, 3086, 1577, 781, 1921, 891, 2035, 1394, 547, 1483, 1272, 1210, 519, 1650, 540, 645, 10157, 267, 513, 2199, 1870, 3168, 547, 4228, 883, 513, 3677, 2344, 269, 1635, 3384, 513, 4396, 10721, 2792, 2916, 267, 645, 10157, 666, 4125, 782, 922, 5520, 538, 3375, 6194, 3157, 267, 4180, 3025, 781, 5639, 568, 4862, 269, 3414, 1930, 5717, 267, 3972, 20671, 2238, 267, 2312, 2792, 9055, 267, 543, 3742, 7589, 7341, 267, 645, 10157, 666, 17362, 519, 1259, 585, 3811, 2208, 1247, 4509, 6126, 8639, 543, 2799, 12434, 780, 2026, 2104, 3401, 267, 1620, 10721, 2792, 16374, 786, 7668, 596, 547, 1628, 2318, 5054, 16382, 596, 979, 1107, 2436, 621, 781, 3056, 513, 2875, 8630, 267, 10283, 538, 2146, 2621, 267, 610, 5555, 11836, 519, 13781, 269, 8625, 267, 649, 666, 7794, 938, 2792, 1983, 543, 6536, 10103, 538, 1022, 4259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16391, 3074, 723, 513, 16221, 540, 2591, 538, 8159, 1018, 568, 5078, 585, 741, 4238, 269, 21894, 568, 5078, 585, 519, 5106, 540, 606, 3919, 267, 538, 713, 2013, 267, 786, 13822, 1018, 1832, 519, 8639, 13854, 543, 519, 8907, 5108, 1164, 269, 4475, 267, 1434, 7580, 4566, 2097, 538, 547, 5512, 3906, 547, 8275, 1018, 2115, 547, 581, 2944, 585, 519, 1870, 547, 3035, 922, 3853, 269, 10435, 513, 1732, 7580, 1544, 2141, 3947, 606, 3919, 513, 19480, 6149, 2509, 8236, 513, 8013, 5413, 936, 824, 3906, 538, 519, 1482, 2872, 269, 645, 10157, 568, 835, 540, 519, 3906, 6849, 519, 4161, 540, 8380, 1919, 538, 1931, 1354, 14027, 922, 7269, 1982, 269, 645, 10157, 1590, 1631, 946, 922, 2139, 2200, 547, 8275, 20656, 538, 519, 1007, 7045, 269, 589, 8273, 2344, 568, 7996, 585, 645, 10157, 547, 20630, 952, 621, 3096, 713, 7580, 1867, 538, 519, 1318, 1259, 269, 645, 10157, 2115, 547, 2981, 543, 1118, 2029, 835, 540, 922, 9342, 547, 4482, 519, 1082, 31655, 538, 25480, 779, 2344, 269, 9045, 529, 325, 3539, 519, 9441, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16391, 9318, 9442, 8693, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 6355, 9442, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 769, 824, 1913, 267, 1535, 14263, 586, 11224, 476, 1015, 543, 666, 581, 2854, 607, 3830, 645, 1384, 343, 910, 586, 815, 476, 1015, 692, 3086, 4194, 3830, 645, 585, 1535, 547, 1205, 519, 15428, 3830, 645, 1384, 343, 910, 586, 815, 476, 1015, 692, 343, 815, 476, 1015, 1341, 586, 692, 10190, 12990, 1535, 538, 3830, 589, 689, 519, 15428, 3830, 645, 543, 1287, 4194, 585, 586, 1384, 343, 1341, 586, 815, 476, 2190, 692, 1015, 1341, 586, 1341, 586, 815, 476, 2190, 692, 1015, 1341, 476, 273, 344, 815, 476, 2190, 692, 273, 344, 815, 476, 1691, 692, 344, 815, 476, 278, 692, 3086, 649, 917, 586, 568, 476, 278, 269, 6904, 1797, 602, 649, 666, 12990, 586, 585, 476, 278, 538, 3830, 589, 543, 4194, 585, 1535, 1384, 343, 1341, 586, 815, 476, 2190, 692, 343, 1341, 476, 278, 815, 476, 2190, 692, 343, 815, 476, 1704, 692, 3383, 1535, 30819, 815, 476, 1704, 270, 278, 692, 2422, 8943, 5254, 17751, 295, 26041, 1220, 543, 1205, 5442, 305, 476, 1220, 3606, 5508, 293, 2422, 595, 19281, 517, 8943, 0, 258, 7621, 32184, 547, 12384, 4911, 560, 668, 20593, 614, 692, 22704, 454, 23682, 32184, 454, 306, 13645, 4911, 560, 668, 454, 272, 7621, 32184, 815, 476, 277, 324, 266, 2190, 12384, 4911, 560, 668, 338, 692, 1012, 1215, 1082, 12384, 4911, 560, 668, 338, 616, 538, 513, 7621, 32184, 2496, 763, 2626, 568, 835, 7621, 32184, 568, 3160, 547, 476, 277, 324, 266, 2190, 12384, 4911, 560, 668, 338, 543, 602, 1797, 649, 666, 849, 2328, 621, 607, 476, 272, 7621, 32184, 815, 476, 277, 324, 266, 2190, 12384, 4911, 560, 668, 338, 269, 18461, 1863, 547, 946, 938, 2228, 1770, 7503, 9498, 547, 6460, 519, 1770, 689, 7621, 32184, 547, 12384, 4911, 560, 668, 269, 3807, 3274, 4283, 1871, 476, 272, 538, 7621, 32184, 543, 1294, 519, 1267, 538, 12384, 4911, 560, 668, 780, 1012, 1215, 547, 22417, 7621, 32184, 547, 12384, 4911, 560, 668, 630, 2135, 32184, 547, 589, 273, 2020, 3528, 1210, 938, 7621, 32184, 547, 12384, 4911, 560, 668, 7503, 1907, 267, 596, 917, 602, 835, 7621, 32184, 568, 6697, 547, 476, 277, 324, 266, 2190, 12384, 4911, 560, 668, 269, 9747, 267, 547, 6460, 7621, 32184, 547, 12384, 4911, 560, 668, 267, 649, 1175, 991, 547, 9062, 519, 1297, 676, 476, 277, 324, 266, 2190, 269, 1284, 616, 2469, 547, 946, 1360, 2241, 7621, 32184, 547, 12384, 4911, 560, 668, 7503, 4542, 585, 602, 269, 20167, 553, 1294, 519, 9819, 1383, 2016, 2630, 780, 11377, 3667, 346, 272, 7621, 32184, 348, 815, 476, 272, 1422, 9392, 476, 277, 324, 266, 2190, 815, 1422, 3667, 346, 277, 324, 266, 2190, 12384, 4911, 560, 668, 338, 15732, 1012, 1548, 568, 7621, 32184, 5149, 540, 12763, 2496, 23682, 32184, 568, 513, 1770, 540, 6482, 585, 1858, 269, 7621, 32184, 568, 849, 1634, 607, 536, 990, 622, 269, 7621, 32184, 568, 606, 2025, 2244, 6482, 1770, 799, 729, 1031, 1282, 476, 1626, 628, 2540, 538, 4789, 543, 10430, 269, 2290, 3404, 32184, 568, 3160, 547, 476, 7785, 616, 780, 1012, 1548, 568, 519, 3090, 540, 7621, 32184, 2496, 763, 3090, 540, 7621, 32184, 568, 3404, 32184, 269, 901, 1797, 596, 666, 849, 2328, 835, 7621, 32184, 607, 476, 272, 3404, 32184, 780, 1012, 1548, 568, 12384, 4911, 560, 668, 5149, 540, 12763, 2496, 306, 13645, 4911, 560, 668, 568, 513, 1770, 540, 1858, 6482, 269, 769, 4009, 2587, 560, 668, 267, 782, 5011, 616, 3160, 547, 476, 272, 2587, 560, 668, 538, 3259, 780, 1012, 1548, 568, 519, 3090, 540, 12384, 4911, 560, 668, 2496, 763, 3090, 540, 12384, 4911, 560, 668, 568, 589, 273, 269, 901, 1797, 596, 666, 849, 2328, 835, 12384, 4911, 560, 668, 607, 476, 272, 589, 273, 780, 1012, 7621, 32184, 547, 12384, 4911, 560, 668, 23586, 7305, 692, 23682, 32184, 1496, 2135, 32184, 316, 306, 13645, 4911, 560, 668, 1496, 288, 273, 2639, 1626, 324, 266, 2190, 454, 2641, 269, 273, 324, 266, 1839, 454, 4029, 269, 279, 324, 266, 1839, 454, 5655, 269, 275, 324, 266, 1839, 454, 7871, 324, 266, 1839, 454, 8287, 269, 277, 324, 266, 1839, 454, 10619, 269, 273, 324, 266, 1839, 454, 10019, 269, 279, 324, 266, 1839, 454, 4817, 269, 275, 324, 266, 1839, 454, 11793, 324, 266, 1839, 454, 1911, 277, 324, 266, 2918, 454, 1911, 6187, 324, 266, 2767, 692, 1012, 7621, 32184, 547, 4033, 19590, 23586, 7305, 692, 23682, 32184, 1496, 2135, 32184, 316, 20479, 454, 272, 3404, 32184, 538, 606, 16988, 600, 568, 3160, 547, 8660, 277, 280, 269, 11152, 454, 272, 3404, 32184, 538, 513, 3570, 568, 3160, 547, 6642, 278, 269, 6734, 454, 272, 3404, 32184, 538, 23505, 568, 3160, 547, 1691, 269, 10695, 454, 272, 3404, 32184, 538, 818, 25871, 568, 3160, 547, 1704, 269, 4649, 454, 272, 3404, 32184, 538, 616, 568, 3160, 547, 7785, 454, 272, 3404, 32184, 538, 28561, 568, 3160, 547, 277, 324, 266, 3953, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 817, 600, 316, 568, 3160, 547, 4510, 269, 5952, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 8054, 536, 1263, 531, 316, 568, 3160, 547, 4510, 269, 5952, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 18636, 541, 533, 20773, 316, 568, 3160, 547, 2537, 269, 10844, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 571, 329, 553, 22474, 316, 568, 3160, 547, 2537, 269, 7761, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 6798, 9618, 316, 568, 3160, 547, 2537, 269, 10463, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 7666, 329, 7806, 316, 568, 3160, 547, 4391, 269, 5881, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 29538, 778, 531, 533, 20773, 316, 568, 3160, 547, 10619, 269, 1724, 454, 272, 3404, 32184, 538, 536, 662, 320, 1496, 333, 788, 531, 316, 568, 3160, 547, 279, 269, 10436, 454, 272, 3404, 32184, 538, 20312, 11445, 1496, 18636, 541, 533, 20773, 316, 568, 3160, 547, 275, 4281, 269, 275, 454, 272, 3404, 32184, 538, 536, 990, 622, 568, 3160, 547, 272, 454, 272, 3404, 32184, 538, 1207, 837, 568, 3160, 547, 277, 454, 272, 3404, 32184, 538, 9348, 718, 4997, 568, 3160, 547, 271, 269, 15836, 18357, 18357, 18357, 3451, 454, 272, 3404, 32184, 538, 9348, 718, 4997, 1496, 322, 18866, 316, 568, 3160, 547, 271, 269, 4510, 278, 6021, 274, 6434, 280, 278, 1626, 10019, 454, 272, 3404, 32184, 538, 9348, 718, 4997, 1496, 4944, 664, 316, 568, 3160, 547, 271, 269, 1428, 454, 272, 3404, 32184, 538, 1286, 516, 879, 568, 3160, 547, 275, 269, 4792, 454, 272, 3404, 32184, 538, 1286, 1075, 622, 568, 3160, 547, 271, 269, 11277, 27174, 278, 3445, 11277, 5379, 454, 272, 3404, 32184, 538, 524, 11921, 773, 568, 3160, 547, 1556, 269, 1556, 454, 272, 3404, 32184, 538, 1298, 568, 3160, 547, 16825, 273, 269, 8287, 454, 272, 3404, 32184, 538, 1298, 328, 732, 568, 3160, 547, 7785, 876, 454, 272, 3404, 32184, 538, 9764, 3723, 568, 3160, 547, 279, 2420, 22145, 269, 6246, 454, 272, 3404, 32184, 538, 9764, 10759, 568, 3160, 547, 14093, 30329, 2412, 278, 269, 7918, 454, 272, 3404, 32184, 538, 7249, 568, 3160, 547, 2568, 454, 272, 3404, 32184, 538, 3382, 568, 3160, 547, 2420, 269, 2190, 454, 272, 3404, 32184, 538, 524, 21838, 6767, 568, 3160, 547, 1428, 269, 2767, 454, 272, 3404, 32184, 538, 10004, 752, 568, 3160, 547, 16960, 7906, 269, 6434, 454, 272, 3404, 32184, 538, 8918, 568, 3160, 547, 16825, 273, 269, 8287, 454, 272, 3404, 32184, 538, 632, 330, 732, 568, 3160, 547, 2568, 454, 272, 3404, 32184, 538, 10982, 559, 568, 3160, 547, 16825, 273, 269, 8287, 454, 272, 3404, 32184, 538, 546, 327, 584, 1496, 339, 8692, 3120, 316, 568, 3160, 547, 9692, 4375, 279, 269, 7906, 454, 272, 3404, 32184, 538, 546, 327, 584, 1496, 333, 788, 531, 316, 568, 3160, 547, 30500, 274, 269, 6858, 454, 272, 3404, 32184, 538, 546, 684, 600, 568, 3160, 547, 2568, 454, 272, 3404, 32184, 538, 20473, 568, 3160, 547, 273, 269, 4097, 454, 272, 3404, 32184, 538, 10178, 9298, 568, 3160, 547, 280, 269, 3451, 454, 272, 3404, 32184, 538, 2484, 2251, 23014, 568, 3160, 547, 6795, 269, 3066, 454, 272, 3404, 32184, 538, 10480, 323, 534, 568, 3160, 547, 1691, 269, 4375, 454, 272, 3404, 32184, 538, 575, 7701, 568, 3160, 547, 278, 5325, 269, 5392, 454, 272, 3404, 32184, 538, 575, 1690, 568, 3160, 547, 278, 1704, 6795, 269, 275, 454, 272, 3404, 32184, 538, 575, 1690, 600, 568, 3160, 547, 278, 1704, 6795, 269, 275, 454, 272, 3404, 32184, 538, 7784, 15925, 568, 3160, 547, 6795, 274, 269, 4962, 454, 272, 3404, 32184, 538, 575, 327, 6373, 517, 568, 3160, 547, 1691, 269, 10695, 454, 272, 3404, 32184, 538, 2666, 568, 3160, 547, 29483, 269, 272, 454, 272, 3404, 32184, 538, 554, 659, 328, 12629, 568, 3160, 547, 271, 269, 1822, 5780, 280, 5038, 273, 5952, 278, 16318, 10436, 454, 272, 3404, 32184, 538, 20267, 732, 568, 3160, 547, 277, 454, 272, 3404, 32184, 538, 12404, 568, 3160, 547, 271, 269, 11277, 27174, 278, 3445, 11277, 5379, 454, 272, 3404, 32184, 538, 554, 719, 568, 3160, 547, 5655, 269, 2420, 454, 272, 3404, 32184, 538, 4627, 568, 3160, 547, 271, 269, 9826, 23056, 6321, 278, 3445, 272, 23056, 277, 454, 272, 3404, 32184, 538, 28478, 756, 568, 3160, 547, 3066, 269, 6924, 454, 272, 3404, 32184, 538, 795, 583, 549, 568, 3160, 547, 1015, 269, 6246, 454, 272, 3404, 32184, 538, 737, 24048, 1496, 321, 836, 14994, 316, 568, 3160, 547, 8660, 277, 269, 4200, 454, 272, 3404, 32184, 538, 737, 534, 531, 568, 3160, 547, 14093, 269, 8618, 454, 272, 3404, 32184, 538, 737, 8643, 568, 3160, 547, 4391, 269, 4391, 454, 272, 3404, 32184, 538, 737, 4673, 568, 3160, 547, 29218, 280, 269, 7176, 454, 272, 3404, 32184, 538, 737, 1952, 1633, 568, 3160, 547, 4343, 279, 269, 4817, 454, 272, 3404, 32184, 538, 6146, 320, 568, 3160, 547, 1691, 269, 10695, 454, 272, 3404, 32184, 538, 737, 7949, 320, 568, 3160, 547, 8660, 277, 280, 269, 11152, 454, 272, 3404, 32184, 538, 737, 25625, 568, 3160, 547, 275, 4366, 275, 269, 9834, 454, 272, 3404, 32184, 538, 737, 4875, 600, 568, 3160, 547, 16825, 269, 2918, 454, 272, 3404, 32184, 538, 682, 15939, 568, 3160, 547, 275, 4366, 275, 269, 9834, 454, 272, 3404, 32184, 538, 4074, 568, 3160, 547, 271, 269, 5400, 274, 10384, 5611, 4962, 280, 4391, 454, 272, 3404, 32184, 538, 1850, 7699, 568, 3160, 547, 271, 269, 19740, 4097, 279, 24879, 16573, 4391, 275, 279, 454, 272, 3404, 32184, 538, 812, 345, 3570, 1496, 1173, 550, 2088, 316, 568, 3160, 547, 277, 454, 272, 3404, 32184, 538, 812, 345, 3570, 1496, 322, 739, 320, 678, 3821, 316, 568, 3160, 547, 279, 269, 6812, 454, 272, 3404, 32184, 538, 2261, 5055, 568, 3160, 547, 26801, 273, 269, 2641, 454, 272, 3404, 32184, 538, 2849, 2102, 1496, 326, 1069, 1415, 316, 568, 3160, 547, 2190, 454, 272, 3404, 32184, 538, 2849, 2102, 1496, 338, 1926, 21562, 316, 568, 3160, 547, 278, 454, 272, 3404, 32184, 538, 18665, 568, 3160, 547, 3445, 454, 272, 3404, 32184, 538, 544, 3120, 6277, 320, 568, 3160, 547, 271, 269, 6795, 274, 32180, 4375, 272, 26951, 5780, 454, 272, 3404, 32184, 538, 4573, 628, 328, 568, 3160, 547, 275, 4281, 274, 269, 9834, 454, 272, 3404, 32184, 538, 562, 3258, 333, 568, 3160, 547, 5611, 454, 272, 3404, 32184, 538, 562, 8932, 568, 3160, 547, 26482, 454, 272, 3404, 32184, 538, 533, 9820, 320, 568, 3160, 547, 4037, 275, 279, 269, 3953, 454, 272, 3404, 32184, 538, 829, 3832, 568, 3160, 547, 11260, 275, 269, 4817, 454, 272, 3404, 32184, 538, 1612, 1952, 340, 568, 3160, 547, 26801, 269, 2420, 454, 272, 3404, 32184, 538, 7510, 784, 568, 3160, 547, 8687, 4366, 269, 11025, 454, 272, 3404, 32184, 538, 986, 328, 568, 3160, 547, 4391, 269, 276, 454, 272, 3404, 32184, 538, 887, 617, 568, 3160, 547, 6795, 269, 4029, 454, 272, 3404, 32184, 538, 887, 3966, 328, 568, 3160, 547, 14056, 269, 11463, 454, 272, 3404, 32184, 538, 2893, 752, 568, 3160, 547, 16825, 273, 269, 8287, 454, 272, 3404, 32184, 538, 3296, 568, 3160, 547, 271, 269, 271, 2537, 14917, 15782, 24423, 276, 5325 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1215, 2052, 11162, 652, 10610, 28389, 2659, 13379, 13809, 17714, 888, 1607, 2689, 786, 3382, 513, 2143, 7778, 540, 922, 5820, 543, 922, 2640, 547, 938, 1560, 267, 875, 519, 11162, 652, 10610, 786, 581, 513, 1390, 948, 585, 596, 538, 707, 2597, 2530, 3460, 269, 4658, 945, 723, 1044, 10010, 609, 1560, 2597, 2152, 1223, 2285, 713, 2119, 593, 713, 11162, 652, 10610, 9422, 7110, 563, 763, 3803, 2357, 18743, 593, 519, 11162, 652, 10610, 24101, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10267, 3175, 10657, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 10610, 7581, 753, 532, 1299, 5489, 2135, 2305, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4828, 5675, 20929, 910, 5675, 606, 19264, 819, 4828, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 596, 786, 581, 2111, 547, 2328, 513, 2312, 543, 8903, 1557, 827, 707, 2104, 3853, 543, 17050, 780, 16240, 606, 1557, 827, 707, 27606, 666, 581, 1312, 1187, 543, 4101, 256, 898, 2636, 596, 547, 2263, 707, 9909, 543, 4952, 3054, 538, 519, 2104, 269, 901, 1826, 540, 1557, 849, 2337, 596, 2259, 12180, 707, 4555, 543, 11589, 873, 5693, 1765, 12921, 1571, 1898, 585, 1164, 1153, 13675, 11400, 543, 3564, 269, 2913, 781, 4685, 883, 875, 547, 1711, 513, 9159, 20440, 1557, 2439, 3721, 476, 272, 281, 7994, 2659, 19264, 819, 454, 6524, 8380, 4050, 547, 1957, 630, 528, 11263, 547, 10569, 1070, 6430, 799, 4876, 610, 8321, 566, 596, 1616, 547, 1445, 593, 269, 1280, 1383, 267, 952, 596, 4126, 547, 1831, 606, 8136, 11464, 899, 519, 835, 4330, 693, 519, 4098, 540, 713, 2376, 267, 602, 781, 513, 1390, 3903, 256, 1403, 596, 2811, 18516, 267, 1589, 827, 1018, 2300, 2572, 596, 1034, 267, 1141, 707, 9342, 9114, 267, 543, 1018, 2238, 4734, 596, 4743, 24009, 780, 3721, 476, 273, 281, 18430, 3194, 454, 294, 664, 4030, 883, 707, 6074, 2361, 676, 2542, 4930, 267, 8384, 7044, 267, 6158, 609, 4648, 267, 610, 1256, 9683, 4143, 5238, 269, 4197, 811, 827, 707, 5551, 3924, 786, 948, 596, 2491, 1946, 621, 22587, 547, 596, 865, 1454, 269, 5457, 267, 1498, 267, 798, 711, 5299, 1866, 262, 960, 282, 3079, 267, 946, 741, 2833, 543, 6791, 547, 8300, 707, 2189, 5133, 780, 3721, 476, 274, 281, 8073, 513, 16200, 4985, 454, 294, 4599, 707, 5467, 781, 3007, 1318, 2476, 676, 4358, 609, 513, 13622, 30867, 10578, 3948, 610, 2243, 1644, 547, 707, 20440, 269, 3973, 267, 1683, 930, 4282, 1344, 543, 2796, 1354, 17548, 707, 1292, 3804, 269, 5269, 2386, 707, 4367, 3762, 3988, 11235, 547, 1451, 811, 827, 707, 3460, 780, 3721, 476, 275, 281, 3763, 10610, 24225, 338, 454, 10376, 5037, 1058, 3382, 513, 2582, 2856, 610, 2460, 540, 707, 20440, 269, 2422, 1808, 3877, 10356, 1282, 1382, 547, 6542, 707, 15131, 543, 7029, 269, 6333, 5466, 2055, 971, 607, 1384, 265, 1548, 6273, 596, 547, 3442, 713, 2619, 888, 265, 1215, 1281, 713, 3514, 609, 707, 1983, 543, 4690, 888, 265, 5808, 814, 6766, 610, 6462, 596, 2059, 519, 1259, 888, 265, 1548, 3268, 616, 596, 2921, 1631, 547, 3035, 707, 3804, 888, 265, 3657, 972, 1022, 1761, 9465, 610, 22303, 267, 543, 875, 1522, 596, 2232, 873, 2496, 3721, 476, 276, 281, 3503, 513, 3281, 2454, 10390, 454, 310, 1905, 909, 707, 1557, 676, 28388, 707, 1292, 2798, 543, 556, 3438, 908, 707, 8990, 269, 1411, 949, 849, 2671, 707, 5075, 540, 1967, 267, 11168, 875, 13197, 707, 20440, 8309, 9797, 547, 2486, 267, 610, 1865, 2081, 596, 1544, 547, 3136, 3395, 13948, 543, 24015, 780, 7078, 1401, 1356, 696, 912, 296, 993, 5462, 547, 1831, 606, 8136, 11464, 267, 4142, 21899, 8885, 547, 7863, 938, 4182, 781, 2418, 543, 17516, 4708, 1369, 922, 10665, 269, 1677, 5965, 585, 713, 14053, 2943, 14785, 4876, 267, 594, 4497, 538, 2168, 8516, 2866, 543, 3343, 5718, 3255, 8164, 2009, 269, 4014, 594, 5431, 519, 3875, 23665, 6619, 267, 594, 2611, 32344, 538, 1250, 13287, 540, 4742, 606, 12913, 8136, 11464, 780, 8855, 267, 13167, 606, 5140, 20440, 1557, 3217, 942, 267, 4674, 267, 543, 1582, 26190, 269, 5213, 1405, 19060, 998, 519, 1184, 282, 2864, 267, 2972, 3695, 707, 18653, 543, 4687, 707, 1650, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7069, 13667, 540, 5020, 568, 547, 28161, 606, 8136, 20229, 454, 7069, 2832, 540, 1272, 568, 547, 1831, 606, 7952, 11464, 610, 1250, 2832, 540, 1272, 568, 547, 1831, 513, 17199, 267, 476, 5611, 1913, 593, 1250, 2832, 540, 1272, 568, 547, 1831, 606, 7952, 11464, 563, 9336, 4819, 9909, 540, 1373, 2576, 607, 646, 9428, 909, 269, 1261, 5036, 513, 2123, 3804, 585, 5128, 543, 1568, 2182, 547, 11886, 621, 269, 5020, 814, 1100, 2495, 2394, 596, 723, 20440, 269, 19264, 819, 2306, 513, 1268, 3742, 543, 2182, 268, 11529, 563, 7069, 20440, 538, 1272, 568, 547, 581, 606, 8136, 11464, 269, 11835, 1456, 519, 8136, 814, 2141, 1044, 513, 5326, 540, 9553, 2094, 594, 729, 513, 1126, 269, 594, 1174, 602, 7674, 1250, 4182, 543, 922, 1004, 786, 711, 581, 2241, 267, 855, 621, 814, 2141, 1044, 513, 7287, 540, 9553, 563, 6097, 547, 1018, 594, 4076, 4862, 267, 519, 1272, 540, 606, 7952, 11464, 568, 2407, 540, 10761, 267, 7045, 267, 543, 2591, 269, 3509, 540, 891, 2188, 13631, 803, 547, 519, 8136, 563, 2026, 606, 8136, 11464, 267, 594, 6999, 547, 4196, 1250, 2197, 269, 3733, 2197, 568, 1360, 5318, 269, 4706, 8513, 267, 6302, 267, 543, 23795, 616, 11999, 543, 1131, 991, 513, 7372, 543, 3810, 2500, 8878, 2497, 269, 634, 8136, 4249, 513, 1883, 1909, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13625, 5675, 20929, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 4400, 3427, 9980, 8896, 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, 8080, 547, 938, 5767, 1576, 1770, 1141, 649, 786, 2263, 519, 4241, 1158, 540, 519, 4950, 267, 2228, 3106, 267, 543, 875, 4031, 2149, 1004, 781, 2924, 1256, 538, 713, 2518, 3060, 256, 4653, 267, 649, 616, 2469, 547, 4685, 883, 513, 1483, 3734, 2013, 5473, 513, 2754, 3957, 1744, 1301, 534, 543, 741, 2442, 3301, 1572, 20673, 12711, 269, 2913, 781, 1205, 3323, 2439, 5331, 596, 723, 2813, 1945, 5863, 910, 6148, 513, 3579, 5373, 267, 1650, 267, 610, 5152, 269, 1411, 1131, 1745, 13347, 952, 2576, 3576, 707, 5137, 543, 3838, 621, 609, 1866, 1510, 4758, 596, 5491, 267, 1318, 286, 2334, 568, 1018, 5949, 950, 7260, 801, 3930, 899, 631, 14875, 4362, 602, 930, 1004, 941, 1210, 20673, 12711, 3301, 547, 2671, 12215, 540, 741, 5172, 8874, 24648, 958, 269, 1924, 267, 789, 4956, 547, 1491, 3656, 2962, 1996, 1744, 1301, 534, 267, 519, 15888, 540, 20673, 12711, 780, 3086, 267, 1934, 2501, 519, 16602, 851, 269, 1215, 798, 596, 647, 324, 2576, 945, 2729, 538, 1776, 2197, 855, 5540, 3755, 782, 936, 519, 1158, 998, 519, 4950, 286, 4270, 267, 1577, 781, 1101, 1174, 1141, 1744, 1301, 534, 729, 4092, 269, 1358, 8359, 547, 6451, 2933, 538, 606, 834, 4752, 17060, 16278, 2437, 799, 1797, 789, 10805, 741, 1870, 538, 513, 1114, 2197, 982, 1141, 789, 3177, 741, 2533, 269, 898, 4667, 899, 789, 1705, 713, 547, 3251, 3544, 519, 3914, 540, 2475, 10470, 1317, 1346, 10470, 3112, 3362, 17997, 3652, 1996, 4914, 3549, 269, 1717, 267, 972, 1522, 1869, 581, 2081, 547, 3180, 873, 18177, 1862, 8528, 1103, 713, 1880, 3510, 267, 1744, 1301, 534, 6035, 1863, 3301, 1572, 519, 20673, 12711, 9012, 30325, 9008, 630, 298, 13270, 1040, 4658, 1223, 946, 713, 1982, 547, 1413, 585, 543, 23396, 3059, 6119, 971, 607, 8964, 267, 7044, 267, 543, 824, 2326, 267, 1034, 540, 799, 941, 6870, 676, 10677, 4031, 269, 1677, 1265, 891, 6119, 267, 3755, 4448, 547, 1142, 824, 3842, 16258, 9199, 1188, 3758, 6879, 2130, 2029, 780, 763, 2462, 2243, 1934, 729, 2436, 513, 2475, 5480, 1223, 3635, 1852, 936, 1744, 1301, 534, 2094, 789, 14201, 1405, 9308, 4092, 538, 3013, 269, 2991, 6313, 1585, 2188, 267, 25960, 15537, 966, 269, 14355, 540, 519, 2136, 2276, 10588, 7040, 1767, 962, 2464, 256, 1261, 5462, 602, 646, 8197, 1185, 1379, 936, 1744, 1301, 534, 1813, 547, 741, 1713, 4296, 1369, 519, 3557, 540, 4993, 269, 2290, 2101, 2601, 729, 602, 1472, 29375, 302, 631, 21135, 12778, 2836, 4613, 2103, 1185, 1569, 547, 519, 918, 13270, 3301, 256, 4595, 865, 1082, 7264, 540, 4993, 2170, 539, 609, 1744, 1301, 534, 781, 1587, 267, 519, 9794, 5156, 602, 621, 729, 4023, 547, 5873, 519, 2013, 538, 1010, 5480, 3336, 780, 1607, 15194, 4951, 3025, 602, 1175, 1317, 513, 2754, 3884, 1405, 2212, 32483, 1229, 538, 513, 1808, 4087, 3085, 1405, 1611, 789, 666, 9101, 5539, 585, 741, 3527, 269, 6732, 4213, 1590, 2463, 2199, 543, 3486, 4031, 543, 2327, 741, 2472, 1810, 1405, 2800, 1866, 269, 1306, 10509, 1606, 822, 11803, 3214, 3395, 909, 538, 519, 2085, 540, 519, 4950, 267, 1620, 2665, 899, 713, 835, 2337, 721, 1451, 811, 827, 938, 2924, 267, 9021, 267, 543, 9363, 2922, 1247, 11981, 3388, 2166, 1499, 10628, 814, 547, 2709, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 18850, 2774, 7040, 8293, 2465, 8240, 1744, 1301, 534, 593, 5769, 454, 17780, 9608, 808, 9766, 323, 2109, 454, 347, 272, 270, 280, 269, 634, 772, 2529, 563, 18850, 2774, 7040, 630, 7374, 9773, 264, 9783, 606, 1931, 543, 6644, 538, 631, 14875, 454, 341, 269, 23108, 330, 3122, 538, 799, 621, 17792, 1744, 1301, 534, 8416, 781, 5163, 547, 14962, 454, 1721, 3668, 540, 2123, 16278, 563, 4537, 1301, 534, 267, 799, 1631, 22595, 519, 1883, 7221, 540, 20673, 12711, 2676, 529, 6896, 538, 519, 21369, 16278, 540, 454, 1952, 30068, 585, 519, 3483, 540, 859, 8172, 519, 3914, 540, 772, 2529, 269, 10470, 269, 1744, 1301, 534, 2488, 454, 16451, 3301, 267, 1634, 607, 519, 20673, 12711, 9012, 30325, 9008, 630, 298, 13270, 1070, 602, 666, 581, 22434, 543, 1031, 454, 1729, 3406, 585, 543, 5385, 3059, 2575, 267, 9413, 267, 543, 824, 6140, 10677, 539, 454, 4103, 267, 1210, 16258, 9199, 1188, 3758, 4687, 2029, 269, 634, 7040, 1759, 922, 4466, 540, 454, 26051, 16278, 7361, 593, 454, 1492, 1249, 602, 1744, 1301, 534, 1185, 1500, 519, 918, 13270, 3301, 2139, 547, 827, 1079, 2929, 454, 637, 6342, 540, 519, 1533, 540, 4993, 563, 7072, 269, 901, 1931, 543, 6644, 568, 9783, 538, 1079, 1644, 3527, 2676, 18485, 533, 2056, 538, 519, 454, 338, 877, 5480, 267, 1312, 10246, 3101, 10677, 26418, 618, 267, 543, 1312, 1996, 519, 1482, 9988, 454, 514, 14179, 341, 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, 8702, 547, 938 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 834, 289, 18115, 5050, 2856, 10590, 608, 13094, 808, 2737, 267, 804, 6260, 1010, 3946, 1927, 269, 8625, 267, 789, 5402, 18902, 30099, 519, 646, 11998, 1494, 2509, 519, 1007, 5544, 267, 2921, 1416, 711, 547, 3441, 1022, 7404, 18508, 610, 21426, 780, 19602, 267, 1776, 4759, 540, 741, 2319, 267, 26795, 267, 4767, 741, 3646, 609, 25949, 269, 2701, 5156, 602, 882, 20814, 2371, 1510, 6236, 824, 2188, 1522, 798, 811, 2800, 982, 1434, 269, 2991, 782, 267, 1932, 1454, 1463, 4598, 547, 7943, 666, 1085, 25403, 3762, 1175, 607, 3362, 607, 1932, 2370, 666, 25224, 2208, 269, 8528, 7804, 1508, 676, 1200, 6161, 267, 1352, 14059, 5484, 543, 808, 2737, 269, 834, 4407, 594, 5660, 707, 15131, 2437, 3459, 26795, 15891, 13124, 267, 834, 933, 1590, 3314, 602, 8806, 11093, 513, 2030, 896, 6793, 1769, 3884, 1405, 2614, 1701, 2701, 4682, 593, 547, 2491, 875, 4509, 513, 2635, 2030, 2497, 729, 8449, 1271, 282, 18309, 27315, 1540, 8371, 267, 9427, 7452, 689, 3762, 267, 4180, 1697, 1216, 12775, 267, 543, 1210, 8770, 11656, 3037, 782, 8329, 547, 17306, 15591, 780, 8266, 2287, 32348, 267, 5484, 543, 808, 2737, 7691, 519, 7326, 538, 26795, 781, 1913, 269, 1358, 9684, 539, 1200, 585, 1200, 5813, 543, 4956, 547, 4019, 1018, 789, 4121, 5612, 269, 3683, 519, 1985, 1906, 4374, 267, 789, 22157, 547, 1142, 2030, 23939, 267, 4758, 873, 25191, 3007, 1759, 593, 741, 1808, 2115, 269, 4256, 2182, 960, 6976, 1055, 282, 18932, 3039, 2044, 4904, 1169, 7944, 540, 3798, 523, 781, 744, 12118, 267, 5373, 5360, 9323, 689, 8436, 543, 9164, 7567, 780, 4913, 267, 1967, 3357, 609, 2591, 269, 2368, 2371, 2746, 539, 11874, 547, 6727, 2242, 267, 3450, 873, 3407, 4245, 827, 16795, 1035, 743, 574, 26494, 269, 1656, 865, 267, 5484, 267, 808, 2737, 267, 543, 26795, 4797, 17975, 741, 2409, 267, 1565, 2059, 519, 1259, 602, 1702, 5916, 609, 9639, 1419, 11729, 519, 1034, 4190, 2164, 780, 7437, 891, 2833, 267, 789, 6956, 602, 3246, 513, 2030, 609, 1412, 3467, 1769, 1648, 262, 7012, 1405, 3274, 513, 2339, 540, 2168, 13307, 269, 898, 3238, 1620, 519, 2030, 781, 7350, 267, 18245, 2067, 3157, 267, 543, 7311, 4052, 3435, 6508, 689, 7104, 7326, 269, 4107, 11932, 267, 789, 6444, 602, 5698, 543, 1930, 2792, 3366, 547, 8902, 2371, 543, 6793, 3347, 1851, 519, 1004, 945, 25374, 585, 873, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 4845, 1131, 1683, 513, 23610, 2626, 547, 713, 2243, 281, 834, 288, 2030, 786, 1205, 811, 1769, 1648, 4840, 288, 2030, 786, 1205, 811, 1769, 1648, 950, 621, 568, 6534, 547, 15792, 7943, 267, 5116, 538, 513, 5078, 4087, 609, 811, 21765, 3108, 267, 543, 814, 513, 1134, 31720, 22633, 19916, 602, 7561, 25309, 543, 18252, 2139, 1769, 585, 6099, 15591, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 4495, 2390, 513, 942, 538, 519, 14297, 2749, 540, 570, 514, 1088, 16011, 267, 972, 5030, 1079, 2828, 3957, 6341, 543, 5981, 269, 5637, 941, 13730, 827, 8874, 543, 1185, 1336, 1967, 538, 21035, 910, 6341, 607, 606, 12913, 17076, 267, 543, 5981, 607, 513, 16805, 8689, 269, 1358, 3838, 513, 5326, 540, 2324, 1927, 593, 513, 1788, 1141, 789, 1223, 4628, 8415, 741, 5916, 15421, 780, 3080, 1554, 267, 1310, 1296, 540, 10478, 585, 1175, 519, 1318, 7097, 267, 789, 16686, 2390, 834, 763, 2037, 577, 5896, 11206, 2437, 513, 23406, 9661, 4904, 609, 627, 15501, 673, 7068, 543, 1272, 781, 3407, 4245, 269, 661, 4526, 547, 3142, 713, 4190, 1650, 547, 1272, 267, 789, 4956, 547, 2941, 28558, 267, 13798, 1311, 267, 543, 5182, 538, 621, 269, 9741, 1705, 789, 917, 267, 713, 3375, 1131, 1291, 873, 1524, 513, 2619, 9808, 9853, 609, 2591, 780, 7628, 3341, 3174, 267, 6341, 543, 5981, 6170, 9118, 3108, 7234, 741, 7499, 5075, 267, 16213, 5079, 267, 24853, 267, 543, 6753, 269, 8616, 267, 5103, 741, 10761, 267, 13253, 3459, 547, 4473, 607, 789, 17388, 547, 1265, 513, 2635, 960, 3734, 3666, 269, 4256, 25888, 1790, 17977, 16131, 3366, 547, 22195, 267, 1419, 6028, 1312, 4743, 16397, 543, 896, 1952, 3285, 730, 780, 306, 3019, 2614, 267, 2083, 2719, 3459, 267, 543, 1007, 9465, 7153, 269, 1306, 606, 17076, 267, 6341, 5156, 646, 6956, 1010, 1915, 1732, 982, 4896, 3116, 267, 799, 3361, 11508, 950, 5981, 6829, 18312, 8369, 1282, 31667, 1023, 269, 11531, 267, 5981, 12066, 1194, 609, 4180, 4023, 2126, 1851, 782, 5641, 2818, 267, 2523, 2094, 1352, 729, 849, 4730, 519, 21087, 626, 269, 901, 12242, 5539, 1500, 1200, 1745, 14324, 1063, 5885, 6341, 543, 30176, 1200, 1463, 3645, 11645, 780, 4263, 519, 2295, 540, 891, 7526, 2482, 2792, 2152, 28978, 676, 20387, 2566, 2157, 269, 4438, 513, 3226, 13029, 5385, 267, 14557, 14670, 19212, 15609, 18060, 539, 267, 11589, 6161, 936, 519, 1167, 867, 7133, 3025, 593, 1305, 269, 2701, 18056, 6341, 543, 5981, 875, 4105, 621, 729, 547, 1521, 1866, 609, 2463, 543, 11587, 267, 1256, 9624, 24895, 780, 307, 31189, 676, 15609, 781, 1913, 267, 6341, 543, 5981, 3576, 513, 1900, 1394, 547, 15260, 612, 741, 14422, 269, 1358, 7691, 602, 4352, 789, 6322, 585, 19870, 267, 789, 7948, 1405, 3035, 621, 1510, 14344, 1142, 824, 781, 7418, 543, 5380, 269, 769, 3257, 865, 267, 789, 4362, 519, 1379, 540, 5698, 543, 14207, 267, 14304, 711, 1152, 741, 3318, 6125, 855, 741, 11505, 1932, 780, 4415, 17105, 25525, 267, 6341, 543, 5981, 1201, 21682, 741, 19367, 593, 2870, 9059, 593, 5496, 269, 1358, 4121, 547, 5660, 1142, 824, 781, 6791, 543, 6330, 3604, 30780, 267, 7432, 1761, 7440, 883, 16268, 7391, 3079, 269, 1635, 8508, 6568, 543, 5683, 2932, 267, 789, 27838, 513, 811, 18900, 1604, 585, 519, 3003, 5641, 543, 12284, 780, 10454, 2037, 577, 5896, 11206, 257, 5555, 2968, 513, 4216, 5604, 5734, 267, 3288, 24231, 585, 922, 9159, 23877, 543, 15826, 4798, 269, 31379, 26916, 6341, 543, 5981, 585, 741, 11108, 12644, 543, 632, 1111, 7829, 540, 1950, 4664, 3297, 519, 10207, 269, 4107, 11932, 267, 2705, 267, 519, 1995, 6026, 873, 17170, 4245, 827, 16542, 267, 1620, 267, 543, 13916, 910, 7907, 789, 5645, 4464, 883, 2104, 18129, 780, 1103, 3932, 267, 11495, 513, 3666, 1063, 2789, 5107, 568, 1100, 2653, 9028, 267, 2943, 621, 3587, 15164, 950, 14059, 609, 21548, 267, 22371, 267, 543, 8994, 2463, 269, 2991, 782, 267, 1169, 1367, 6770, 2189, 9342, 543, 4030, 602, 3565, 547, 513, 1788, 781, 2949, 1967, 267, 1818, 2500, 5698, 2629, 585, 10188, 1272, 781, 1082, 2591, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 2591, 814, 715, 817, 541, 5185, 1247, 13326, 1010, 5107, 607, 606, 17076, 543, 8689, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 2123, 1344, 827, 2043, 269, 1717, 267, 538, 2489, 267, 11051, 945, 849, 1463, 949, 3068, 2591, 971, 607, 5883, 942, 543, 9021, 267, 4509, 1843, 2032, 1247, 538, 4395, 540, 519, 8254, 267, 543, 5883, 519, 6788, 543, 19838, 657, 540, 5641, 543, 12284, 2818, 269, 6034, 532, 543, 9117, 849, 2154, 1114, 1983, 267, 865, 606, 17076, 1673, 1311, 528, 949, 991, 547, 10880, 513, 3666, 1063, 519, 1079, 5107, 543, 2327, 602, 789, 616, 4758, 1142, 1909, 519, 3007, 621, 19262, 269, 3958, 267, 519, 2604, 540, 1373, 3743, 585, 1312, 519, 3860, 543, 2845, 6750, 3344, 540, 513, 2504, 666, 581, 11566, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 8080, 547, 938, 3460, 883, 519, 1158, 540, 31910, 1154, 256, 4653, 267, 649, 786, 2263, 11006, 543, 18138, 910, 1079, 1898, 3268, 602, 2285, 707, 844, 2830, 513, 25509, 1413, 543, 948, 621, 2063, 3476, 269, 1635, 1565, 891, 2553, 267, 596, 3513, 1039, 4190, 3877, 547, 707, 3785, 543, 1711, 1726, 25979, 8952, 1389, 780, 1262, 1432, 568, 645, 4193, 15140, 5331, 28277, 513, 10516, 609, 10477, 1957, 543, 17516, 621, 609, 11746, 269, 2334, 781, 1018, 11006, 1281, 585, 707, 844, 2830, 256, 898, 6227, 519, 6151, 8728, 540, 519, 844, 2830, 1283, 267, 10627, 1154, 267, 543, 25380, 6106, 547, 2149, 873, 543, 1683, 513, 16517, 9096, 269, 1411, 666, 3442, 1585, 2010, 540, 11006, 2326, 971, 607, 5958, 17446, 267, 9186, 11746, 267, 610, 840, 13402, 11006, 20061, 269, 2913, 781, 1445, 593, 1210, 5958, 17446, 2221, 780, 1262, 27609, 532, 28577, 22367, 1186, 16001, 272, 269, 7994, 25640, 17234, 585, 707, 1788, 269, 1280, 1383, 267, 946, 31629, 4773, 689, 707, 844, 2830, 1283, 610, 2824, 14911, 4778, 543, 3270, 563, 273, 269, 12338, 476, 273, 16006, 20878, 2647, 17446, 2059, 519, 3259, 630, 528, 8700, 264, 540, 519, 5958, 269, 5269, 2386, 789, 616, 693, 2547, 7466, 519, 15943, 540, 707, 844, 2830, 7132, 513, 1906, 3063, 6279, 269, 901, 2636, 585, 9378, 1450, 1734, 543, 6772, 2355, 950, 11836, 519, 7475, 540, 2789, 17446, 1927, 563, 274, 269, 4964, 1142, 14816, 538, 3368, 3259, 3772, 609, 519, 4636, 5011, 6849, 21286, 269, 901, 5932, 513, 1212, 848, 1899, 602, 10274, 519, 13307, 1282, 22927, 780, 1262, 16920, 2286, 645, 4193, 547, 2659, 2372, 2830, 16001, 272, 269, 20233, 707, 20399, 11006, 14816, 2059, 835, 6316, 540, 519, 844, 2830, 267, 4358, 827, 28870, 1063, 1079, 15174, 269, 26969, 519, 25649, 6316, 540, 519, 11006, 609, 519, 856, 25958, 1448, 540, 519, 844, 2830, 6316, 267, 1318, 5011, 1927, 269, 23680, 513, 476, 277, 268, 279, 10759, 2766, 16304, 10690, 563, 273, 269, 29828, 519, 11006, 547, 519, 844, 2830, 6316, 1210, 513, 476, 26528, 20878, 9378, 27108, 269, 1879, 16042, 519, 7944, 267, 3247, 22927, 476, 26528, 20878, 1354, 8757, 519, 6316, 267, 1394, 560, 3558, 513, 1906, 2053, 547, 5150, 519, 25573, 267, 1287, 12740, 519, 2046, 518, 3723, 543, 17967, 519, 844, 2830, 865, 602, 596, 666, 3136, 22927, 2059, 519, 1985, 2427, 563, 274, 269, 19244, 713, 1184, 2394, 596, 3914, 519, 4098, 540, 707, 3355, 11006, 14816, 269, 2558, 574, 1022, 4430, 11006, 267, 6028, 2614, 4055, 547, 16937, 519, 1439, 540, 519, 1101, 14816, 269, 674, 1245, 1312, 21217, 18807, 267, 5447, 741, 1930, 8728, 267, 543, 18055, 873, 1927, 609, 513, 15497, 9378, 269, 15566, 1140, 2286, 519, 6967, 3808, 6316, 563, 275, 269, 4495, 782, 2185, 5011, 616, 7923, 267, 2046, 519, 11006, 2476, 689, 519, 844, 2830, 267, 24208, 621, 936, 519, 6151, 6316, 269, 2422, 513, 9420, 8280, 19173, 610, 21117, 19173, 547, 1045, 529, 4601, 8936, 519, 25649, 6316, 547, 519, 19758, 728, 540, 519, 844, 2830, 269, 2142, 6297, 711, 547, 7485, 1932, 17401, 267, 799, 949, 2014, 533, 3089, 619, 563, 276, 269, 5556, 17894, 256, 1411, 4312, 6707, 3773, 11006, 547, 707, 844, 2830, 2439, 3086, 1577, 781, 1865, 1776, 1271, 2460, 540, 31910, 1154, 1107, 4946, 16560, 26088, 899, 844, 2830, 10297, 610, 30996, 880, 906, 269, 1452, 18953, 2123, 1125, 707, 5137, 543, 2671, 922, 1650, 780, 1262, 17730, 513, 11822, 22443, 16001, 288, 6003, 2356, 2882, 1344, 827, 945, 1500, 519, 844, 2830, 267, 1946, 267, 543, 950, 269, 4635, 16150, 5958, 610, 1660, 4802, 267, 2328, 610, 1820, 707, 5048, 1210, 8628, 13504, 269, 3973, 3365, 1664, 610, 3684, 19173, 519, 6003, 5196, 519, 19758, 728, 540, 707, 844, 2830, 269, 17968, 267, 2015, 25918, 1359, 707, 2012, 267, 4266, 267, 543, 824, 4143, 9623, 2047, 5196, 519, 844, 2830, 779, 8473, 610, 521, 4770, 780, 8855, 267, 31910, 1154, 568, 5921, 547, 581, 1187, 543, 3860, 269, 5213, 1405, 5855, 827, 19870, 282, 3079, 267, 9784, 9073, 607, 3255, 585, 2208, 543, 1582, 22325, 269, 8414 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 513, 17125, 614, 269, 3776, 5363, 3391, 585, 2081, 547, 2697, 3662, 24181, 543, 563, 288, 1375, 1833, 568, 835, 540, 519, 1034, 1455, 4128, 4620, 5411, 3343, 3318, 948, 585, 741, 5243, 269, 1809, 1018, 568, 14699, 286, 20548, 1833, 568, 20935, 267, 3614, 21874, 267, 610, 16160, 2623, 4724, 606, 1367, 267, 2436, 1480, 610, 1776, 3662, 269, 20548, 1833, 538, 5243, 666, 581, 1813, 547, 1368, 8973, 8513, 267, 2200, 267, 610, 513, 1920, 4759, 282, 4250, 282, 17140, 282, 10352, 5397, 282, 610, 1928, 563, 1103, 782, 540, 891, 3871, 267, 513, 2915, 949, 581, 14593, 1932, 2484, 543, 666, 5912, 3533, 689, 19535, 267, 31604, 267, 610, 1368, 8973, 5615, 547, 1373, 10728, 269, 1234, 13808, 281, 1234, 13808, 568, 4122, 11821, 609, 14699, 269, 17268, 602, 616, 19535, 936, 516, 716, 547, 1978, 15128, 610, 3871, 269, 21834, 267, 3668, 540, 23462, 2073, 13385, 2866, 547, 1451, 1582, 20820, 2073, 513, 31029, 1995, 267, 610, 513, 4999, 540, 891, 666, 2014, 2746, 2032, 267, 543, 4250, 568, 3335, 519, 6117, 3196, 563, 3725, 5562, 5243, 723, 1978, 12153, 267, 971, 607, 2367, 609, 581, 1841, 610, 22970, 267, 1507, 1453, 267, 610, 3871, 950, 519, 2915, 7959, 16290, 593, 513, 682, 1662, 269, 1403, 513, 19535, 2915, 4485, 596, 267, 519, 1655, 3364, 596, 666, 798, 568, 2285, 1864, 2230, 269, 1684, 711, 1935, 538, 606, 3801, 547, 26250, 1864, 269, 1403, 596, 723, 513, 19535, 2915, 267, 2324, 609, 513, 26519, 547, 2119, 2623, 14842, 2553, 602, 786, 2232, 519, 2014, 666, 2061, 15583, 566, 547, 14699, 563, 293, 697, 610, 22947, 281, 21824, 568, 519, 1034, 1455, 2014, 540, 14699, 269, 28611, 950, 513, 2915, 568, 18901, 543, 7959, 12219, 267, 646, 23297, 547, 2196, 689, 8726, 568, 31029, 1864, 269, 21824, 995, 5243, 949, 711, 2285, 1022, 21855, 824, 982, 741, 1560, 1893, 269, 645, 2572, 616, 3335, 2656, 25135, 543, 949, 2049, 950, 519, 1268, 568, 6028, 543, 814, 1010, 1394, 5828, 563, 2467, 1131, 581, 7864, 17486, 952, 1004, 6956, 602, 938, 2623, 2073, 1256, 950, 649, 1589, 621, 568, 7874, 267, 1223, 2408, 17116, 547, 513, 2915, 269, 1280, 1383, 267, 950, 649, 10709, 936, 513, 2915, 543, 3914, 856, 513, 1688, 547, 4620, 1864, 593, 1283, 540, 1010, 2212, 267, 646, 949, 1745, 12219, 269, 6271, 1455, 2014, 540, 4250, 6888, 538, 5243, 568, 3668, 540, 23462, 563, 288, 2915, 945, 814, 2318, 2833, 609, 1114, 2010, 540, 1004, 267, 21089, 267, 543, 4025, 689, 513, 1762, 2085, 568, 1447, 2693, 547, 581, 31604, 269, 9752, 513, 21937, 547, 6001, 950, 1373, 17411, 786, 849, 948, 269, 12754, 2871, 8973, 2443, 17268, 4043, 547, 9856, 1919, 789, 3494, 3180, 1390, 4502, 269, 1452, 3688, 666, 581, 9162, 267, 1426, 267, 7633, 267, 12008, 2127, 267, 543, 1256, 1004, 269, 901, 12402, 2501, 689, 519, 1249, 602, 5243, 26731, 689, 11937, 602, 941, 3552, 543, 1185, 547, 2149, 741, 2200, 547, 7639, 563, 5194, 1434, 1259, 547, 4308, 609, 4199, 1368, 8973, 568, 547, 4123, 609, 707, 2915, 267, 27300, 519, 1843, 602, 646, 568, 1368, 8973, 585, 513, 1521, 267, 610, 1796, 2476, 689, 519, 1426, 12826, 950, 519, 2915, 568, 4189, 543, 19184, 513, 1521, 883, 621, 269, 17268, 602, 4159, 891, 5615, 616, 3843, 547, 2061, 513, 4339, 676, 1818, 519, 3463, 979, 2476, 610, 676, 2810, 519, 3845, 1063, 2933, 543, 519, 3463, 269, 1879, 29067, 1404, 267, 609, 824, 5243, 610, 741, 5411, 267, 789, 666, 1831, 5023, 344, 543, 562, 760, 9875, 982, 789, 1058, 563, 1607, 562, 6235, 568, 711, 4947, 689, 513, 21937, 602, 568, 1373, 10728, 267, 855, 835, 945, 568, 936, 3613, 574, 4327, 543, 2115, 513, 2736, 269, 681, 965, 7591, 2443, 13928, 3562, 1673, 690, 1404, 568, 513, 3339, 851, 540, 22578, 5872, 269, 13928, 1404, 568, 23769, 8165, 269, 28523, 625, 1451, 875, 547, 798, 713, 14013, 689, 741, 9905, 563, 291, 690, 1404, 666, 1831, 7920, 267, 1205, 10978, 267, 543, 2408, 10728, 267, 855, 607, 1279, 607, 1312, 5243, 616, 2348, 1187, 543, 18245, 741, 1560, 1893, 2073, 621, 666, 581, 513, 1390, 2534, 585, 23462, 543, 3635, 563, 16498, 2598, 1260, 3228, 2443, 589, 2915, 945, 568, 10393, 1332, 1782, 610, 2879, 6260, 949, 849, 581, 7210, 610, 538, 1928, 269, 32515, 21890, 514, 267, 31650, 290, 8783, 18915, 11464, 269, 12989, 616, 1455, 1560, 1893, 6786, 602, 3025, 945, 25998, 609, 5243, 1058, 1174, 563, 29819, 540, 4160, 2433, 269, 1411, 666, 2307, 707, 16943, 585, 513, 4704, 585, 513, 14468, 3662, 2623, 626, 538, 707, 1858, 269, 14424, 6601, 2644, 14424, 909, 547, 476, 276, 1114, 14981, 2427, 676, 2427, 269, 13928, 11846, 269, 13928, 8745, 4855, 518, 25873, 938, 3573, 5399, 540, 2915, 4408, 585, 6667, 269, 4855, 856, 519, 1655, 543, 10782, 3536, 585, 707, 2915, 543, 799, 547, 2057, 563, 21206, 8249, 31650, 290, 269, 5192, 29035, 538, 13928, 9751, 269, 11833, 338, 5510, 1359, 281, 9751, 26643, 269, 13928, 1234, 13808, 5288, 269, 1548, 1772, 20548, 1833, 286, 13928, 20548, 1833, 563, 293, 15903, 538, 2073, 519, 31650, 290, 568, 519, 6444, 543, 11967, 4274, 538, 9742, 267, 1072, 267, 543, 2866, 1344, 585, 5243, 269, 31650, 290, 8362, 15156, 585, 3743, 2915, 9562, 543, 568, 6131, 547, 14027, 2915, 5026, 269, 2353, 2924, 11603, 269, 0, 4910, 1545, 593, 8791, 476, 2004, 279, 454, 1692, 547, 4530, 15750, 2572, 585, 29456, 2443, 8196, 1312, 8261, 543, 12747, 4152, 2409, 547, 1711, 3015, 7270, 563, 763, 8791, 476, 2004, 279, 11621, 2443, 763, 8791, 476, 2004, 279, 9208, 585, 18329, 543, 6176, 5303, 3340, 602, 950, 513, 5313, 8116, 8843, 1344, 25274, 267, 6693, 16158, 29456, 13832, 630, 310, 7563, 294, 264, 2443, 288, 2582, 3838, 3044, 585, 1357, 1543, 10333, 267, 2919, 538, 519, 1930, 547, 2743, 519, 2115, 540, 2043, 267, 3906, 267, 543, 6608, 18368, 454, 307, 8962, 543, 7896, 454, 4089, 2004, 279, 10993, 2443, 21980, 766, 585, 8549, 8041, 593, 8668, 10333, 10220, 269, 0, 296, 991, 547, 3313, 519, 2450, 540, 519, 8546, 2348, 519, 2095, 2557, 540, 519, 5277, 630, 4248, 264, 799, 568, 476, 276, 16720, 26553, 543, 14322, 519, 8006, 540, 519, 8546, 568, 476, 275, 7825, 269, 1215, 666, 1775, 3313, 519, 2450, 540, 519, 8546, 602, 3217, 4114, 835, 8792, 585, 476, 276, 6447, 1216, 547, 2095, 2059, 519, 8546, 888, 2252, 519, 2095, 2557, 568, 476, 276, 6447, 26553, 267, 543, 596, 1616, 547, 917, 875, 1279, 513, 8546, 621, 786, 1491, 476, 272, 1295, 547, 1780, 998, 267, 596, 2461, 3927, 6998, 875, 1279, 513, 8546, 3568, 476, 276, 6447, 563, 24127, 540, 513, 12718, 568, 4399, 7032, 265, 337, 317, 273, 265, 327, 259, 563, 276, 6447, 815, 476, 4335, 271, 7825, 317, 274, 563, 303, 328, 265, 337, 317, 273, 815, 13100, 265, 273, 7825, 317, 273, 815, 476, 275, 7032, 6515, 317, 273, 454, 7312, 3259, 4061, 568, 476, 4335, 271, 270, 275, 7032, 610, 1472, 476, 6110, 7825, 269, 0, 297, 600, 531, 772, 9536, 514, 18737, 634, 6532, 540, 15990, 568, 13840, 606, 538, 531, 1329, 762, 851, 540, 3624, 269, 8550, 814, 15990, 1044, 513, 19988, 1533, 538, 6592, 1686, 269, 634, 6532, 568, 5219, 547, 607, 519, 15990, 19435, 538, 519, 11156, 540, 519, 4658, 779, 6243, 540, 3624, 269, 1306, 519, 18631, 14081, 267, 3624, 814, 20244, 11262, 519, 11662, 538, 13076, 609, 922, 840, 268, 3707, 280, 6302, 563, 1103, 1899, 609, 519, 14074, 540, 3486, 1876, 543, 6042, 267, 519, 4457, 3409, 936, 15990, 568, 13755, 2378, 728, 543, 16048, 269, 634, 1158, 814, 849, 6444, 602, 519, 6532, 568, 606, 538, 29323, 762, 851, 540, 3624, 269, 634, 2136, 8315, 630, 7419, 264, 814, 7550, 513, 6571, 547, 3398, 519, 16048, 3409, 540, 3624, 936, 15990, 563, 4002, 5239, 476, 1839, 267, 476, 3192, 272, 267, 519, 476, 2918, 628, 8400, 540, 519, 6167, 4937, 13909, 5293, 22375, 3143, 269, 476, 22550, 279, 269, 634, 6571, 9307, 538, 519, 2312, 543, 17386, 1893, 602, 15990, 568, 851, 540, 519, 4658, 779, 6243, 540, 3624, 269, 634, 6167, 4937, 13909, 17767, 602, 519, 11347, 540, 519, 6554, 540, 519, 4658, 779, 6243, 540, 3624, 568, 519, 6852, 3656, 11347, 540, 3624, 538, 519, 2136, 8315, 543, 602, 519, 4658, 779, 6243, 540, 3624, 568, 835, 540, 519, 8628, 2818, 540, 519, 6167, 8232, 7027, 267, 543, 16976, 547, 11177, 782, 2924, 547, 519, 4658, 779, 6243, 540, 3624, 543, 5431, 519, 13222, 540, 922, 2229, 607, 519, 6852, 3656, 13222, 540, 3624, 538, 519, 2136, 8315, 9257, 563, 4002, 5147, 476, 2537, 267, 476, 1220, 278, 267, 1287, 23122, 24932, 1968, 540, 519, 6167, 14465, 27411, 2173, 3019, 15653, 15990, 779, 15376, 19915, 547, 968, 21860, 519, 6167, 896, 519, 2012, 540, 15990, 5608, 19696, 22375, 476, 22550, 279, 607, 14344, 602, 15990, 568, 851, 540, 3624, 269, 634, 6167, 568, 606, 3486, 3919, 7768, 540, 19988, 2829, 269, 15990, 607, 513, 11662, 540, 3624, 568, 4625, 711, 11727, 543, 814, 1100, 1318, 547, 7119, 538, 519, 2518, 1560, 563, 26589, 2515, 519, 6167, 6571, 267, 519, 2136, 2276, 267, 538, 1614, 17434, 2475, 16644, 2088, 4004, 1172, 15530, 267, 814, 849, 17019, 602, 782, 4457, 593, 2901, 2427, 540, 519, 15990, 26463, 2226, 972, 568, 855, 835, 3624, 543, 602, 15990, 568, 513, 851, 540, 3624, 269, 634, 2475, 6554, 1140, 2851, 1390, 454, 763, 2475, 6554, 1140, 2851, 1390, 2956, 547, 922, 1894, 609, 3624, 543, 556, 3438, 919, 602, 621, 814, 1100, 9837, 540, 1102, 2590, 532, 593, 4457, 16285, 543, 16857, 8699, 267, 610, 7679, 1359, 538, 3624, 779, 4835, 12602, 267, 610, 13197, 513, 3609, 540, 2048, 18314, 932, 21590, 685, 610, 2048, 821, 3624, 267, 835, 15990, 563, 4913, 267, 519, 20422, 2475, 4218, 5928, 723, 4797, 4509, 13016, 543, 796, 334, 24810, 1894, 609, 519, 15990, 8128, 4189, 741, 1378, 1913, 2016, 547, 3624, 269, 5221, 519, 2475, 6499, 547, 2270, 519, 4473, 540, 3624, 1210, 519, 8128, 540, 15990, 269, 7201, 519, 513, 22273, 1182, 540, 519, 2706, 12741, 267, 519, 8128, 723, 849, 6854, 741, 20320, 3646, 547, 1205, 6284, 607, 513, 19988, 8513, 689, 1114, 2477, 269, 4634, 789, 616, 3843, 547, 6666, 538, 593, 519, 6855, 547, 1205, 883, 930, 3486, 3906, 543, 8041, 563, 1103, 513, 4831, 1847, 267, 3624, 4667, 547, 723, 3144, 519, 15990, 3390, 607, 519, 5377, 1899, 540, 922, 23372, 269, 5221, 3624, 814, 1100, 4781, 585, 18731, 593, 519, 3390, 540, 922, 16857, 8699, 543, 16285, 269, 3624, 267, 4061, 267, 13976, 9316, 609, 513, 2197, 593, 519, 4493, 540, 519, 1620, 540, 519, 5377, 1899, 1700, 519, 15990, 3390, 563, 2026, 513, 1267, 267, 1169, 3659, 543, 7649, 540, 3624, 2141, 3788, 1360, 18762, 543, 25442, 950, 621, 2501, 547, 7231, 609, 15990, 269, 1358, 2141, 2463, 713, 5377, 1899, 540, 4457, 23372, 269, 1717, 267, 513, 1906, 2338, 540, 2477, 6836, 547, 723, 513, 3723, 538, 1312, 519, 13122, 267, 4509, 2620, 1894, 609, 3624, 543, 8195, 2458, 24851, 609, 15990, 267, 538, 519, 2250, 269, 634, 1079, 1922, 3166, 2477, 6368, 8959, 547, 2611, 538, 519, 1434, 2835, 540, 3624, 267, 1577, 4805, 547, 581, 922, 3020, 543, 11967, 2828, 563, 1103, 519, 4657, 6381, 540, 519, 8701, 1242, 1158, 267, 15990, 814, 1044, 519, 1396, 16443, 1449, 585, 4742, 513, 3020, 543, 25442, 3659, 540, 3624, 936, 519, 1296, 269, 4634, 519, 9832, 540, 11450, 609, 3624, 4922, 4268, 689, 2197, 547, 2197, 4470, 593, 519, 1449, 269, 634, 2518, 6381, 723, 2451, 3624, 609, 1100, 4781, 855, 547, 1118, 15990, 513, 811, 3978, 3390, 950, 621, 2501, 547, 2679, 269, 15152, 519, 929, 644, 550, 5718, 540, 11788, 10579, 2701, 16554, 13201, 2088, 267, 16273, 814, 11506, 922, 1894, 609, 3624, 547, 513, 7580, 11450, 269, 4658, 540, 16273, 2503, 547, 28231, 519, 1034, 27993, 540, 519, 11506, 13218, 609, 3624, 269, 634, 1004, 723, 513, 6109, 3661, 602, 16273, 786, 2760, 3541, 841, 689, 519, 2619, 540, 1646, 607, 1279, 607, 2701, 16554, 13201, 2088, 8255, 519, 2197, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 621, 781, 476, 273, 19315, 916, 267, 799, 568, 538, 3126, 609, 519, 824, 476, 275, 19315, 332, 19919, 267, 4758, 476, 277, 19315, 916, 269, 901, 568, 1447, 982, 476, 1321, 19315, 916, 267, 865, 519, 2619, 834, 14259, 697, 6619, 257, 4330, 1657, 630, 328, 4318, 269, 10691, 519, 2619, 3056, 547, 519, 476, 1321, 19315, 332, 19919, 264, 568, 519, 2619, 540, 2547, 5706, 775, 269, 4595, 519, 1101, 476, 275, 19315, 332, 19919, 568, 538, 3126, 609, 519, 6697, 19919, 540, 519, 824, 1079, 602, 616, 538, 6252, 267, 1287, 789, 1590, 723, 519, 1482, 1699, 13576, 998, 873, 676, 519, 8520, 1876, 13718, 3383, 594, 729, 3206, 602, 681, 273, 267, 681, 274, 543, 681, 275, 1131, 782, 723, 519, 1482, 1699, 998, 873, 267, 855, 1250, 2789, 3903, 3681, 1152, 1331, 681, 273, 267, 681, 274, 267, 543, 681, 275, 14350, 610, 681, 274, 543, 681, 275, 1927, 780, 8310, 12995, 281, 0, 258, 1548, 568, 519, 17747, 20996, 7358, 1807, 585, 11272, 15783, 2496, 296, 1174, 602, 5279, 543, 3167, 1761, 616, 31669, 2616, 1963, 538, 1627, 300, 780, 763, 7061, 7344, 11346, 585, 5279, 267, 7117, 267, 568, 3274, 3160, 547, 7117, 269, 594, 993, 27378, 602, 519, 7061, 7344, 11346, 585, 5122, 1761, 630, 10193, 1572, 900, 325, 267, 538, 713, 2796, 264, 1590, 723, 513, 12045, 538, 621, 267, 855, 993, 711, 2386, 543, 666, 1405, 3100, 547, 5616, 621, 780, 3383, 267, 1250, 2243, 568, 1018, 568, 519, 11346, 585, 3167, 1761, 286, 1280, 3236, 267, 585, 5276, 11610, 267, 621, 568, 1269, 268, 328, 315, 327, 8663, 315, 10109, 5055, 6911, 1892, 769, 1875, 3146, 26245, 643, 2065, 1627, 300, 519, 5279, 568, 711, 513, 6422, 4756, 543, 519, 1761, 568, 3274, 519, 1761, 267, 1775, 4318, 269, 538, 519, 6850, 18878, 2013, 621, 781, 519, 3167, 1761, 2053, 519, 5279, 269, 769, 7061, 2361, 3069, 513, 8106, 7274, 899, 519, 6850, 18878, 1761, 3085, 1405, 2291, 267, 835, 666, 1152, 3067, 1125, 519, 7665, 6202, 4834, 607, 513, 2898, 269, 1290, 7757, 4924, 476, 1321, 267, 476, 1001, 277, 693, 476, 276, 281, 7367, 692, 2690, 513, 1875, 8686, 776, 532, 5279, 267, 707, 3167, 1761, 267, 1269, 309, 8961, 568, 513, 1599, 540, 519, 24293, 3845, 1269, 337, 10608, 769, 17747, 23317, 267, 519, 30424, 11532, 14998, 721, 547, 17589, 513, 8106, 4082, 585, 513, 2016, 2168, 28507, 267, 1287, 6460, 621, 547, 606, 11346, 4082, 269, 1284, 917, 513, 8106, 4542, 585, 519, 3167, 1761, 1269, 309, 16868, 30879, 1677, 3489, 513, 7061, 7344, 11346, 585, 713, 1761, 267, 649, 3274, 6460, 1269, 337, 259, 547, 606, 11346, 267, 602, 568, 1269, 337, 29540, 315, 1002, 346, 337, 23201, 634, 11346, 585, 3167, 1761, 568, 1287, 1175, 4399, 1002, 346, 309, 348, 815, 966, 7268, 1002, 346, 337, 348, 7751, 780, 2690, 519, 11610, 11346, 267, 2705, 267, 649, 666, 2047, 17589, 513, 7061, 7344, 4082, 269, 6333, 519, 1863, 9325, 5951, 1599, 1384, 259, 394, 357, 3287, 25722, 264, 815, 32363, 3867, 328, 17347, 343, 910, 28911, 339, 264, 4151, 1141, 1269, 288, 259, 568, 513, 3339, 5314, 3586, 780, 8794, 891, 5013, 281, 1269, 292, 815, 554, 325, 815, 17487, 356, 22886, 259, 6902, 1269, 335, 815, 1422, 2765, 346, 327, 2410, 16575, 348, 31386, 2765, 346, 273, 11027, 384, 356, 2410, 16575, 13157, 384, 356, 330, 8961, 649, 666, 27682, 1269, 394, 357, 3287, 25722, 7751, 607, 1384, 259, 394, 357, 3287, 25722, 264, 815, 32363, 3867, 328, 21702, 18950, 29210, 910, 18264, 20972, 384, 356, 32556, 3086, 1491, 519, 12045, 540, 1269, 394, 357, 259, 609, 2463, 547, 1269, 343, 259, 630, 3286, 547, 1294, 952, 649, 666, 2097, 909, 609, 1945, 17107, 7445, 2765, 346, 4501, 480, 394, 357, 2410, 4501, 480, 343, 18098, 2765, 346, 760, 2410, 384, 356, 348, 288, 324, 3867, 328, 21702, 18950, 29210, 910, 18264, 20972, 384, 356, 3686, 7807, 2765, 346, 760, 2410, 384, 356, 348, 394, 357, 6911, 3086, 621, 781, 3478, 4277, 269, 1284, 30337, 519, 1657, 4082, 883, 1384, 7445, 2765, 346, 384, 356, 2410, 328, 4153, 2765, 346, 4501, 480, 2410, 4501, 480, 343, 348, 394, 357, 284, 335, 394, 357, 6911, 3086, 713, 568, 606, 14802, 7407, 3830, 269, 1284, 723, 606, 11346, 4399, 2765, 346, 384, 356, 2410, 328, 4153, 2765, 346, 4501, 480, 2410, 4501, 480, 343, 4151, 9117, 593, 1269, 394, 357, 259, 609, 27744, 1269, 335, 259, 799, 616, 11610, 2418, 269, 3245, 713, 267, 649, 1349, 2047, 602, 519, 11610, 11346, 1590, 581, 1384, 7445, 1002, 346, 303, 18098, 2765, 346, 384, 356, 2410, 328, 4153, 2765, 346, 4501, 480, 2410, 4501, 480, 343, 13157, 268, 328, 384, 356, 21702, 346, 4501, 480, 2410, 4501, 480, 343, 31859, 2690, 16134, 267, 296, 723, 6508, 713, 4082, 538, 835, 10155, 267, 855, 267, 540, 1576, 267, 519, 9864, 12045, 666, 581, 6905, 547, 476, 274, 291, 2230, 607, 1134, 269, 634, 2489, 4082, 585, 519, 11610, 11346, 568, 1287, 1384, 7445, 1002, 346, 303, 13157, 268, 328, 384, 356, 7268, 2765, 346, 4501, 480, 2410, 4501, 480, 343, 23180, 2765, 346, 4501, 480, 2410, 4501, 480, 344, 23180, 2765, 346, 4501, 480, 2410, 4501, 480, 345, 16585, 815, 910, 328, 384, 356, 4501, 485, 16859, 1892, 7711, 476, 273, 16591, 1721, 10472, 543, 31231, 1777, 1411, 281, 11289, 596, 585, 602, 2626, 256, 594, 993, 1175, 11842, 267, 519, 1627, 300, 11346, 585, 11610, 1281, 711, 3100, 547, 1246, 602, 4341, 267, 607, 2484, 607, 594, 666, 1294, 269, 898, 3096, 513, 4399, 10109, 5055, 259, 11346, 267, 711, 513, 12045, 609, 2463, 547, 942, 267, 607, 538, 519, 8106, 2013, 269, 1703, 568, 849, 606, 1269, 328, 259, 543, 4399, 327, 8663, 259, 538, 602, 4542, 269, 1290, 7757, 4924, 476, 1321, 267, 476, 1001, 277, 693, 476, 866, 281, 5655, 454, 1892, 7711, 21837, 281, 1284, 1152, 991, 547, 946, 519, 30424, 11532, 952, 649, 666, 1405, 6382, 2047, 17589, 513, 7061, 7344, 4082, 585, 513, 2016, 11346, 269, 769, 519, 2013, 540, 11610, 267, 2705, 267, 621, 7140, 856, 602, 649, 666, 269, 594, 723, 3773, 519, 8174, 566, 540, 519, 11610, 11346, 547, 1250, 2626, 547, 707, 3312, 2243, 269, 1290, 7757, 4924, 476, 1428, 267, 476, 1001, 277, 693, 476, 1704, 281, 7918, 0, 258, 1215, 1684, 1411, 14419, 1403, 589, 10022, 1772, 25999, 20593, 7217, 2107, 16448, 958, 20593, 7217, 2496, 1103, 824, 1913, 267, 513, 3126, 4780, 2471, 11613, 952, 621, 4780, 2471, 950, 596, 4894, 519, 20367, 851, 267, 543, 2783, 958, 952, 621, 11651, 2471, 1310, 596, 4894, 519, 20367, 851, 269, 8786, 267, 1312, 18304, 616, 13113, 689, 562, 19899, 6541, 267, 855, 952, 596, 4894, 519, 20367, 851, 538, 513, 2783, 958, 4780, 3101, 3126, 267, 621, 786, 581, 28836, 780, 1012, 1548, 1772, 1323, 25999, 20593, 7217, 10022, 2496, 1103, 6128, 267, 606, 12808, 3126, 540, 2338, 568, 1767, 547, 27721, 11613, 630, 528, 547, 581, 11613, 4780, 7217, 264, 952, 519, 2040, 540, 519, 6207, 2418, 540, 519, 14805, 1343, 568, 13113, 269, 2859, 10502, 267, 513, 1483, 610, 1950, 3126, 568, 1767, 547, 27721, 11613, 952, 585, 930, 1483, 1297, 16317, 1012, 2052, 589, 2983, 6248, 10022, 2142, 16448, 958, 20593, 7217, 2496, 763, 12166, 3126, 3980, 495, 606, 568, 11613, 4780, 7217, 952, 1923, 320, 347, 2999, 476, 272, 269, 630, 6629, 272, 264, 333, 266, 272, 562, 815, 476, 272, 6567, 476, 272, 476, 273, 1341, 476, 272, 476, 274, 6567, 476, 272, 476, 275, 1341, 898, 5205, 689, 14497, 476, 275, 269, 1789, 2630, 602, 519, 20367, 23191, 3126, 4780, 2471, 267, 865, 621, 568, 513, 2783, 958, 4780, 7217, 3126, 780, 1012, 1215, 1684, 1411, 28171, 589, 10022, 20593, 2471, 2496, 2252, 678, 2999, 476, 272, 267, 1287, 519, 3126, 4780, 2471, 269, 1403, 678, 3436, 476, 272, 267, 1287, 519, 3126, 11651, 2471, 269, 1403, 678, 815, 476, 272, 267, 519, 3597, 1449, 568, 21016, 5477, 267, 543, 519, 3126, 949, 27721, 610, 11651, 613, 269, 634, 5223, 1449, 543, 519, 3597, 1449, 616, 1312, 1759, 593, 6476, 609, 513, 12166, 3126, 267, 543, 607, 971, 789, 960, 538, 2147, 3871, 780, 1012, 1548, 6496, 16448, 958, 20593, 7217, 6399, 2496, 10666, 3690, 5296, 269, 968, 27028, 5193, 19427, 892, 1797, 513, 3126, 786, 27721, 1256, 950, 596, 1491, 519, 6207, 1871, 540, 1142, 2165, 267, 1247, 968, 30812, 819, 531, 19427, 892, 1797, 519, 3126, 4780, 2471, 855, 711, 11613, 780, 1012, 1215, 1684, 1411, 4530, 7736, 9557, 2986, 20593, 10885, 2496, 2414, 3313, 2436, 519, 1439, 15304, 338, 616, 538, 519, 8884, 540, 19427, 267, 596, 723, 547, 11690, 873, 883, 519, 1379, 3126, 630, 821, 693, 513, 942, 264, 547, 1205, 606, 12808, 3126, 269, 1411, 1287, 946, 513, 19427, 1449, 547, 3313, 2436, 610, 711, 519, 12808, 3126, 4780, 2471, 610, 11651, 2471, 780, 1012, 1772, 476, 272, 715, 20593, 7217, 2107, 667, 1853, 7217, 2496, 333, 284, 272, 606, 27721, 610, 11651, 613, 1927, 269, 562, 284, 272, 606, 4780, 2471, 269, 562, 284, 272, 606, 11651, 2471, 780, 1012, 1548, 1772, 20593, 10885, 769, 10803, 2496, 3519, 591, 10885, 540, 4351, 4632, 630, 27271, 1572, 32094, 19427, 264, 568, 1141, 513, 1305, 540, 2338, 7017, 593, 513, 1880, 1297, 269, 1879, 15932, 4632, 27721, 593, 513, 2582, 1297, 267, 789, 949, 711, 7017, 4010, 602, 1297, 267, 855, 789, 2097, 1360, 267, 1360, 2673, 780, 1012, 6496, 634, 10022, 2986, 476, 272, 715, 20593, 613, 2496, 763, 5311, 2715, 272, 14672, 348, 4780, 2471, 267, 519, 3126, 3852, 352, 272, 14672, 593, 519, 824, 1688, 11651, 2471, 269, 1924, 519, 3126, 11651, 2471, 267, 1317, 952, 596, 1039, 909, 476, 272, 270, 273, 2614, 2053, 267, 519, 2040, 786, 5555, 1205, 607, 1804, 607, 596, 899, 780, 1012, 1548, 1772, 634, 623, 10022, 2496, 14240, 540, 513, 533, 4149, 7685, 589, 533, 1606, 7685, 568, 513, 1808, 1826, 540, 12808, 3126, 269, 898, 568, 513, 3126, 540, 519, 1106, 269, 1141, 533, 666, 581, 1022, 1483, 1297, 3152, 982, 4642, 269, 18564, 602, 538, 713, 4214, 562, 786, 2141, 1491, 593, 2318, 8870, 2418, 267, 543, 519, 3126, 568, 606, 12808, 3126, 1317, 621, 568, 513, 2040, 5627, 12808, 2474, 780, 1012, 4208, 6496, 634, 15053, 4577, 10022, 667, 1853, 613, 2496, 4504, 30698, 569, 519, 1292, 4661, 1946, 519, 23191, 3126, 11651, 613, 568, 602, 3980, 478, 330, 4501, 495, 333, 284, 273, 30893, 284, 330, 272, 333, 285, 330, 1321, 330, 284, 1321, 2094, 10545, 3693, 568, 476, 1321, 330, 543, 972, 616, 737, 2609, 538, 519, 8884, 1496, 330, 282, 273, 330, 4940, 1924, 519, 23191, 2040, 585, 1022, 13113, 8884, 1496, 330, 282, 273, 330, 316, 568, 3436, 476, 271, 269, 276, 780, 1012, 1215, 1684, 1411, 2422, 18948, 4530, 2496, 763, 18948, 4530, 18859, 602, 782, 513, 19559, 316, 543, 536, 19559, 316, 616, 2318, 269, 1403, 536, 19559, 316, 4780, 2471, 267, 543, 513, 19559, 316, 27045, 321, 19559, 316, 585, 782, 562, 267, 1287, 513, 19559, 316, 849, 4780, 2471, 269, 1403, 519, 2040, 540, 536, 19559, 316, 11651, 2471, 267, 543, 513, 19559, 316, 285, 284, 321, 19559, 316, 585, 782, 562, 267, 1287, 519, 2040, 540, 513, 19559, 316, 849, 11651, 2471, 780, 1012, 1548, 1772, 634, 667, 1853, 10885, 4530, 2496, 763, 14724, 27754, 1449, 267, 1572, 519, 667, 1853, 10885, 4530, 267, 568, 1031, 547, 3313, 2436, 519, 2040, 540, 513, 3126, 11651, 2471, 1759, 593, 519, 3126, 779, 1439, 15515, 8326, 269, 898, 3112, 581, 1031, 4805, 547, 3313, 765, 614, 519, 2040, 540, 513, 3126, 4780, 2471, 269, 1403, 1929, 330, 20681, 31236, 333, 330, 19749, 510, 271, 1287, 519, 2040, 540, 519, 3126, 11651, 2471, 269, 19227, 267, 519, 1449, 568, 21016, 5477, 780, 1012, 1548, 6496, 898, 6399, 1879, 589, 10022, 667, 1853, 2471, 2496, 288, 3126, 666, 27721, 610, 11651, 613, 269, 589, 3126, 602, 4780, 2471, 814, 513, 13113, 3970, 267, 602, 568, 513, 1297, 602, 568, 14059, 269, 589, 3126, 602, 11651, 2471, 1797, 2901, 519, 9864, 18304, 723, 1100, 3970, 610, 1935, 20581, 269, 634, 3017, 568, 538, 519, 2450, 540, 519, 1455, 5223, 269, 5384, 547, 27721, 593, 513, 1906, 3126, 2439, 1012, 1548, 1772, 589, 715, 1638 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1572, 1239, 2818, 543, 519, 3252, 616, 1572, 4759, 3252, 267, 634, 4999, 540, 1239, 2818, 543, 4759, 3252, 13822, 513, 1239, 1843, 610, 3274, 606, 1843, 563, 23330, 1807, 3683, 2903, 532, 6087, 721, 547, 1118, 519, 3044, 12427, 267, 899, 1341, 267, 910, 267, 2608, 3092, 267, 547, 960, 609, 519, 3615, 540, 938, 1378, 1239, 2010, 610, 5049, 269, 1284, 666, 2328, 513, 1599, 799, 28196, 1149, 513, 1880, 11346, 865, 602, 621, 15824, 513, 1808, 5106, 950, 621, 568, 1031, 609, 519, 1843, 540, 513, 1362, 269, 0, 1607, 2376, 7710, 519, 5784, 543, 9880, 962, 383, 375, 338, 18860, 620, 29841, 541, 611, 5889, 342, 383, 362, 1996, 5375, 5784, 630, 572, 4788, 1143, 264, 827, 2257, 269, 1261, 2488, 4656, 602, 4984, 543, 2257, 723, 513, 2078, 540, 8994, 991, 269, 15215, 2115, 2257, 547, 2491, 519, 3621, 5013, 602, 2291, 538, 2470, 269, 2201, 519, 14669, 267, 2201, 519, 14669, 267, 2257, 3340, 4984, 538, 3246, 519, 5837, 4493, 585, 519, 3498, 543, 28252, 540, 713, 2257, 585, 1480, 1272, 543, 519, 1604, 269, 19732, 1465, 538, 519, 1158, 568, 513, 32563, 585, 8236, 8788, 538, 519, 1934, 12898, 267, 1317, 4984, 568, 513, 2707, 540, 1702, 543, 2257, 568, 513, 1797, 547, 4019, 3388, 8659, 538, 3909, 10752, 269, 5637, 540, 891, 786, 12927, 1142, 824, 543, 960, 1927, 267, 865, 607, 547, 3132, 2043, 945, 616, 1821, 719, 538, 4984, 543, 11636, 538, 3384, 2257, 269, 14755, 3425, 5161, 540, 1079, 2609, 267, 2168, 543, 5289, 269, 5637, 540, 891, 2609, 814, 922, 1378, 2115, 269, 8447, 2115, 666, 581, 1558, 676, 2257, 267, 6466, 519, 5289, 2115, 1558, 676, 4984, 269, 1403, 1312, 540, 891, 2115, 616, 1558, 267, 8788, 538, 713, 1158, 543, 538, 519, 1934, 12898, 786, 581, 6913, 269, 0, 5715, 2158, 807, 814, 2919, 1082, 3292, 547, 2569, 14774, 2669, 267, 799, 568, 4978, 1644, 547, 1569, 547, 14774, 1416, 267, 855, 1869, 1152, 3908, 9176, 2021, 723, 1569, 547, 1072, 9744, 269, 901, 1382, 6836, 547, 1397, 799, 4632, 602, 3565, 519, 3375, 547, 8415, 519, 14774, 1072, 1416, 269, 4635, 6281, 1239, 689, 5619, 968, 298, 10719, 10937, 19994, 18885, 534, 918, 3150, 1002, 534, 10874, 323, 553, 1046, 534, 1473, 1731, 1807, 28763, 1575, 22760, 570, 9734, 836, 1530, 1002, 476, 1001, 271, 5608, 5342, 538, 476, 1220, 277, 267, 676, 519, 2657, 10588, 8433, 267, 28763, 1575, 22760, 570, 9734, 836, 5174, 656, 523, 907, 631, 11189, 1072, 13345, 729, 15538, 540, 2347, 13494, 7614, 1416, 630, 3198, 290, 264, 6514, 267, 543, 6765, 13984, 676, 3318, 4332, 20343, 269, 769, 2165, 540, 519, 24970, 562, 7614, 1416, 630, 3198, 290, 1070, 476, 9032, 269, 277, 260, 540, 519, 17013, 1185, 693, 2547, 835, 942, 4888, 290, 547, 519, 1072, 10986, 267, 543, 476, 5952, 269, 278, 260, 547, 519, 4571, 342, 1057, 269, 13159, 4888, 290, 543, 693, 2547, 476, 275, 2053, 2743, 2564, 10986, 630, 298, 275, 264, 729, 476, 7367, 269, 276, 10065, 24822, 676, 3318, 1072, 20343, 729, 1472, 476, 3199, 269, 274, 9077, 543, 476, 3583, 269, 278, 260, 540, 519, 6765, 941, 5833, 538, 519, 1072, 9744, 269, 631, 11189, 1072, 13345, 568, 6045, 676, 4632, 21085, 630, 1464, 547, 2628, 264, 689, 2804, 10333, 267, 543, 689, 519, 1514, 10333, 676, 1702, 540, 4888, 290, 267, 1702, 540, 1981, 689, 519, 6379, 267, 1981, 540, 4758, 4332, 543, 519, 9525, 538, 3375, 1818, 1184, 547, 3442, 3028, 6765, 267, 855, 972, 729, 1100, 2168, 10333, 1223, 6045, 519, 13345, 3017, 269, 5564, 850, 767, 2079, 9863, 602, 972, 729, 513, 4351, 18448, 689, 1377, 594, 547, 1377, 4083, 267, 609, 631, 3036, 284, 273, 269, 1724, 269, 898, 1797, 972, 729, 513, 3017, 538, 11667, 540, 10758, 538, 519, 1377, 594, 547, 1377, 4083, 269, 634, 3017, 666, 581, 6045, 676, 519, 3761, 3815, 267, 799, 568, 6027, 676, 4571, 342, 1057, 5223, 547, 476, 1015, 269, 1822, 2551, 267, 609, 594, 3036, 630, 271, 269, 2190, 1107, 476, 275, 269, 1626, 1040, 4595, 519, 8390, 540, 594, 3036, 25295, 476, 272, 267, 621, 1797, 519, 8390, 1851, 519, 1016, 1673, 626, 2774, 568, 5266, 8273, 982, 519, 13865, 4756, 630, 13232, 342, 1057, 5223, 1040, 12846, 713, 1382, 1223, 2491, 602, 4571, 342, 1161, 941, 4730, 519, 1360, 1271, 1909, 538, 14774, 1072, 10333, 538, 8664, 1377, 269, 0, 301, 747, 15614, 4083, 729, 519, 2063, 512, 338, 541, 540, 6576, 896, 4936, 990, 4341, 269, 3571, 4057, 7829, 540, 10552, 344, 10732, 269, 6576, 779, 1909, 538, 2622, 2782, 594, 3366, 547, 1010, 15995, 1709, 543, 11056, 563, 763, 476, 5002, 276, 7169, 454, 20464, 476, 2420, 267, 476, 5002, 276, 910, 5412, 476, 1240, 267, 476, 5002, 276, 454, 305, 11701, 7169, 540, 476, 5002, 276, 269, 772, 19828, 602, 729, 15747, 538, 20310, 17578, 541, 22956, 4083, 547, 3801, 519, 7004, 540, 519, 6739, 2229, 689, 606, 1313, 7100, 883, 513, 13338, 21257, 563, 310, 310, 296, 538, 6576, 454, 20606, 476, 1704, 267, 476, 4489, 275, 910, 4728, 476, 274, 267, 476, 4489, 279, 454, 305, 17892, 10294, 2489, 20834, 5314, 538, 1489, 540, 28993, 269, 901, 3459, 1813, 547, 519, 26923, 540, 5246, 706, 651, 30686, 30544, 269, 634, 2898, 1448, 729, 547, 13889, 22341, 1491, 1478, 540, 513, 7361, 23577, 545, 11662, 563, 763, 8168, 5742, 7201, 6931, 523, 454, 4489, 278, 910, 5130, 476, 2641, 267, 476, 4572, 275, 454, 309, 19921, 25504, 594, 569, 747, 772, 569, 534, 990, 267, 646, 568, 1634, 676, 22255, 514, 1299, 729, 513, 6739, 12316, 267, 22267, 267, 543, 2797, 17695, 626, 269, 1261, 6039, 607, 2212, 540, 2229, 540, 8168, 6576, 689, 476, 4489, 278, 547, 476, 4572, 275, 543, 540, 519, 8168, 5742, 689, 476, 4572, 273, 547, 476, 4572, 275, 563, 763, 5988, 7169, 454, 18550, 476, 274, 267, 476, 4489, 278, 454, 305, 17892, 3323, 519, 5988, 7169, 269, 634, 5988, 7169, 729, 519, 1101, 540, 1079, 26201, 602, 3576, 1747, 538, 6576, 538, 476, 4489, 278, 269, 901, 5949, 1317, 28592, 1185, 4503, 5132, 538, 519, 5718, 2702, 540, 519, 524, 345, 30658, 12512, 563, 299, 523, 514, 543, 519, 4279, 5239, 7169, 454, 19751, 476, 2190, 267, 476, 4489, 278, 910, 5239, 476, 1839, 267, 476, 4489, 278, 454, 309, 19921, 25504, 22255, 514, 9250, 513, 5176, 1973, 1652, 19420, 546, 262, 18863, 520, 1996, 519, 667, 6373, 781, 1008, 29850, 2229, 269, 898, 3576, 1747, 998, 606, 11439, 1202, 18675, 538, 8891, 5766, 2784, 593, 476, 1839, 5239, 269, 898, 3576, 1747, 1317, 540, 8467, 538, 519, 1008, 29850, 2229, 563, 20464, 476, 1789, 267, 476, 3192, 273, 454, 293, 1430, 29361, 517, 3323, 10552, 344, 10732, 269, 12429, 29361, 517, 22555, 513, 21936, 5360, 8724, 827, 2324, 2175, 538, 519, 2749, 543, 10912, 585, 1689, 31677, 15246, 540, 796, 28534, 21127, 676, 512, 338, 30658, 7980, 538, 853, 22642, 7921, 538, 5130, 476, 5002, 276, 269, 0, 18439, 12694, 538, 28149, 454, 13202, 476, 280, 268, 1015, 1923, 476, 280, 600, 910, 476, 276, 10975, 454, 273, 2395, 13186, 454, 300, 710, 8154, 568, 513, 5070, 7901, 476, 274, 8820, 1565, 3014, 8385, 2813, 676, 16528, 3014, 14704, 4460, 639, 834, 8253, 577, 257, 6431, 5459, 543, 2663, 2919, 543, 3370, 676, 7720, 329, 836, 563, 763, 3860, 543, 2679, 3344, 540, 28149, 5512, 1453, 547, 1628, 25481, 856, 540, 1257, 3293, 18695, 538, 513, 476, 274, 291, 3545, 12147, 6383, 1158, 563, 2026, 1082, 1004, 7058, 267, 621, 779, 1175, 513, 3014, 256, 4270, 267, 713, 568, 711, 3020, 7498, 2005, 779, 513, 5691, 1158, 1141, 1453, 4497, 538, 1483, 3734, 2238, 899, 912, 23382, 520, 543, 27834, 563, 4322, 2238, 1450, 1053, 547, 1451, 1966, 6061, 543, 476, 274, 291, 20592, 1983, 563, 14399, 786, 1491, 851, 538, 9867, 11265, 543, 4702, 4255, 269, 1358, 786, 3986, 741, 9345, 998, 3853, 543, 2591, 269, 1358, 786, 960, 1927, 547, 4194, 2042, 1247, 8888, 543, 3384, 269, 1358, 786, 1451, 827, 28524, 267, 14086, 267, 827, 2556, 2200, 2877, 676, 5274, 547, 7639, 543, 1454, 811, 563, 1607, 1576, 568, 15760, 7495, 630, 289, 2590, 2659, 13574, 27620, 264, 610, 670, 790, 3776, 27620, 265, 18121, 1015, 3131, 4303, 994, 10743, 991, 547, 723, 741, 1378, 28149, 2272, 799, 568, 711, 3769, 538, 519, 3902, 540, 519, 1576, 543, 666, 581, 12349, 693, 8940, 6230, 710, 8154, 14492, 563, 265, 16301, 543, 17148, 15233, 0, 1103, 519, 1459, 1184, 267, 8988, 20543, 941, 2047, 24704, 538, 513, 2582, 1900, 676, 17196, 23735, 2747, 540, 513, 7848, 540, 20566, 267, 8988, 24277, 267, 543, 632, 542, 1242, 1216, 269, 901, 568, 1114, 689, 519, 4122, 7550, 5650, 585, 20566, 1606, 559, 591, 17560, 14835, 10282, 538, 799, 8988, 20543, 616, 24704, 676, 8600, 513, 20566, 3070, 607, 513, 5114, 5420, 1101, 269, 4935, 267, 519, 3606, 1900, 2404, 609, 519, 7041, 540, 519, 20566, 3070, 729, 17515, 269, 769, 1840, 267, 1100, 3606, 4227, 8665, 729, 8246, 269, 634, 7550, 1505, 729, 1795, 850, 543, 2786, 4464, 267, 3413, 1800, 20085, 8988, 20543, 609, 8006, 2630, 476, 1015, 269, 16354, 602, 17820, 1434, 27611, 2534, 269, 4329, 267, 3310, 540, 20566, 593, 519, 2450, 540, 519, 8988, 20543, 729, 8068, 563, 31871, 540, 3817, 1475, 274, 2008, 347, 22711, 1475, 17220, 4750, 540, 18143, 5839, 668, 26163, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 1001, 277, 2904, 476, 272, 2008, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 23305, 10334, 454, 268, 17449, 10334, 454, 268, 13188, 543, 8859, 564, 7879, 0, 1432, 10054, 616, 1500, 950, 10647, 513, 512, 23150, 286, 8575, 591, 1157, 21213, 5988, 476, 1691, 267, 2443, 454, 5445, 2901, 3111, 547, 1683, 2175, 610, 2285, 606, 18106, 1305, 540, 2175, 585, 1210, 519, 5697, 8579, 1449, 267, 610, 789, 1592, 519, 2175, 585, 1210, 519, 5697, 8579, 1449, 267, 855, 798, 711, 2638, 873, 563, 1692, 666, 649, 948, 938, 1053, 1174, 543, 14183, 891, 4170, 888, 6624, 1053, 6560, 609, 891, 2055, 281, 1548, 616, 10054, 543, 2175, 286, 1548, 267, 952, 4376, 267, 568, 519, 3017, 1063, 873, 888, 3963, 21898, 10992, 873, 286, 1548, 5205, 616, 930, 10372, 827, 875, 547, 2057, 267, 993, 601, 1640, 622, 267, 543, 4323, 519, 20887, 543, 13655, 827, 10054, 543, 2175, 269, 3399, 7216, 5606, 2397, 568, 513, 2352, 1888, 585, 1053, 269, 898, 786, 581, 1447, 18447, 952, 596, 1865, 10054, 543, 2175, 689, 519, 1360, 4098, 540, 519, 1576, 563, 13014, 10992, 873, 513, 10421, 585, 1169, 8579, 5650, 596, 798, 269, 1548, 2186, 540, 21370, 4159, 1058, 649, 1118, 2443, 513, 3046, 3113, 610, 513, 27008, 888, 763, 1883, 3390, 568, 2436, 519, 1239, 616, 28547, 610, 11050, 269, 4841, 1058, 2141, 1589, 827, 602, 1354, 789, 1711, 1022, 3113, 269, 1403, 789, 6430, 593, 513, 2650, 5750, 610, 513, 3046, 3113, 267, 2154, 602, 789, 2328, 1524, 519, 1452, 1239, 616, 28547, 563, 288, 27008, 2982, 519, 1239, 616, 21230, 21136, 543, 972, 616, 1100, 856, 11502, 269, 8074, 602, 1053, 1590, 2638, 713, 2783, 267, 711, 1175, 1533, 621, 282, 789, 991, 547, 1397, 519, 3113, 2390, 799, 789, 3490, 741, 3375, 269, 2986, 1576, 267, 891, 2175, 616, 711, 3618, 6879, 1136, 267, 610, 2565, 547, 23221, 610, 519, 1576, 563, 5445, 4196, 8806, 547, 3715, 2038, 593, 519, 1620, 602, 3257, 7194, 3340, 2312, 3206, 543, 2792, 827, 1018, 5773, 547, 4019, 543, 10992, 547, 581, 2386, 602, 1346, 5773, 616, 3617, 269, 1280, 1383, 267, 952, 972, 568, 513, 1318, 6906, 267, 1287, 519, 25355, 11532, 666, 581, 4294, 563, 763, 1482, 568, 3020, 538, 7194, 269, 1403, 1346, 10054, 616, 26991, 267, 519, 1505, 949, 3111, 269, 634, 10054, 616, 827, 5095, 543, 3631, 267, 1919, 602, 616, 7164, 543, 2356, 26968, 762, 563, 4517, 602, 6799, 721, 609, 513, 2462, 1966, 267, 1317, 649, 786, 4440, 2760, 917, 2436, 606, 13429, 568, 3020, 269, 1703, 616, 1614, 2010, 540, 10054, 281, 1284, 1590, 3274, 3398, 891, 607, 10257, 2443, 1310, 6297, 2219, 563, 303, 5055, 639, 1043, 267, 1759, 593, 2963, 269, 8771, 267, 855, 2673, 2614, 269, 1284, 917, 519, 13429, 568, 711, 3020, 267, 855, 930, 5773, 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 ]

[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 3933, 4924, 476, 1704, 476, 4905, 281, 5400, 281, 1724, 476, 1708, 271, 692, 287, 10461, 281, 29314, 1372, 1195, 324, 454, 20701, 5035, 13928, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 454, 825, 1219, 4431, 15461, 318, 12252, 4311, 267, 4971, 2187, 1038, 952, 630, 12252, 2652, 1582, 20508, 2187, 2018, 1820, 4311, 20508, 1341, 834, 568, 31661, 532, 8627, 10590, 9239, 6883, 334, 815, 13928, 2891, 289, 22857, 5602, 6883, 334, 269, 22046, 15461, 318, 12252, 2891, 289, 22857, 15419, 6883, 334, 815, 13928, 2891, 310, 514, 1723, 5602, 6883, 334, 269, 22046, 15461, 318, 12252, 2891, 289, 22857, 8442, 0, 5228, 1166, 2532, 1104, 795, 5459, 1518, 267, 7662, 454, 5228, 795, 5459, 1104, 4452, 14030, 454, 5228, 3284, 328, 269, 6135, 4768, 656, 1104, 31777, 656, 454, 5228, 3284, 328, 1104, 813, 692, 258, 4958, 5281, 519, 1101, 476, 1015, 2609, 952, 789, 616, 6251, 982, 476, 272, 269, 276, 5998, 269, 14956, 2989, 14060, 616, 17332, 1101, 454, 3698, 1205, 12749, 263, 6135, 4768, 1218, 267, 1003, 292, 12661, 267, 3193, 291, 2700, 2187, 825, 1267, 815, 11713, 825, 22356, 815, 11713, 825, 585, 630, 6135, 4768, 656, 267, 3845, 264, 538, 14060, 912, 1038, 952, 7003, 31114, 264, 2999, 1003, 292, 12661, 543, 3845, 2999, 3193, 291, 2700, 281, 1948, 594, 991, 547, 1265, 1152, 476, 1015, 14060, 267, 8307, 13962, 6251, 982, 476, 272, 269, 276, 298, 332, 666, 581, 3769, 538, 519, 1267, 3097, 2018, 952, 13962, 269, 26020, 912, 3546, 1267, 6910, 263, 6135, 4768, 656, 994, 2018, 3116, 912, 3546, 22356, 6910, 263, 6135, 4768, 656, 994, 825, 1535, 815, 476, 271, 454, 825, 1247, 7003, 31114, 264, 2999, 1003, 292, 12661, 543, 1535, 2999, 7003, 263, 4752, 1467, 264, 2433, 476, 1948, 952, 594, 723, 711, 1336, 519, 2556, 2609, 594, 666, 1331, 519, 22356, 835, 454, 2018, 1267, 6910, 263, 4752, 1467, 20572, 7481, 2018, 1535, 6834, 476, 272, 454, 825, 2132, 1267, 7531, 258, 570, 1845, 547, 1826, 4751, 5569, 547, 10581, 454, 3698, 1098, 9216, 318, 15615, 19304, 5332, 321, 2187, 453, 339, 787, 912, 453, 453, 333, 321, 815, 10581, 19304, 5332, 321, 994, 453, 21955, 912, 453, 453, 333, 321, 815, 7183, 454, 16596, 562, 321, 692, 258, 4406, 573, 919, 4164, 564, 637, 454, 3698, 19472, 318, 1706, 4461, 10857, 520, 267, 10693, 2187, 825, 2132, 910, 3445, 10922, 4234, 10922, 476, 3445, 543, 910, 5197, 10922, 10693, 10922, 476, 5197, 8528, 287, 1952, 269, 709, 974, 3488, 270, 4134, 11734, 5073, 3698, 6602, 10031, 825, 1003, 292, 12661, 815, 476, 1015, 454, 825, 3193, 291, 2700, 815, 476, 272, 269, 276, 454, 825, 1948, 5785, 955, 268, 7335, 543, 4570, 908, 3403, 1871, 454, 825, 952, 7662, 269, 16911, 10947, 3488, 26245, 10807, 543, 7662, 269, 16911, 10947, 3488, 23127, 10807, 2433, 8931, 1038, 4234, 5825, 337, 815, 1098, 9216, 318, 15615, 263, 7528, 652, 269, 16911, 10947, 3488, 26245, 29125, 1038, 10693, 5825, 337, 815, 1098, 9216, 318, 15615, 263, 7528, 652, 269, 16911, 10947, 3488, 23127, 29125, 1038, 952, 711, 630, 26245, 5825, 337, 543, 10693, 5825, 337, 543, 19472, 318, 1706, 4461, 10857, 520, 5825, 337, 267, 10693, 5825, 337, 15892, 2018, 2132, 834, 289, 611, 32369, 267, 519, 2418, 616, 711, 2953, 256, 2580, 476, 6110, 454, 825, 3116, 912, 1038, 2132, 834, 289, 611, 32369, 267, 596, 1590, 7696, 519, 476, 4234, 630, 26245, 3363, 264, 543, 10693, 630, 14075, 3363, 264, 2418, 256, 2580, 476, 6110, 692, 825, 1948, 5785, 955, 268, 7335, 32227, 543, 1402, 6819, 519, 1592, 540, 281, 630, 6135, 4768, 1218, 267, 519, 3845, 1063, 519, 3593, 4087, 543, 519, 1964, 584, 656, 994, 825, 14060, 815, 11713, 567, 1948, 689, 32227, 547, 8675, 454, 825, 609, 1930, 2891, 6135, 4768, 1218, 12459, 5459, 8442, 607, 795, 5459, 17572, 912, 1038, 795, 5459, 27916, 4768, 1218, 815, 4452, 27203, 5459, 17572, 264, 13872, 1038, 795, 5459, 17572, 25379, 10797, 825, 1948, 689, 8675, 547, 1592, 540, 31777, 1218, 3097, 825, 585, 795, 5459, 27916, 4768, 656, 538, 795, 5459, 27916, 4768, 1218, 14277, 6135, 4768, 1218, 257, 14158, 1038, 4087, 815, 795, 5459, 27916, 4768, 656, 14277, 331, 6327, 31116, 1038, 1073, 329, 27916, 4768, 656, 815, 476, 31777, 656, 10857, 517, 815, 476, 4087, 314, 271, 3910, 4234, 815, 4087, 314, 272, 16689, 14030, 476, 2228, 815, 795, 5459, 27916, 4768, 656, 9131, 26020, 11172, 2676, 14030, 476, 8560, 815, 795, 5459, 27916, 4768, 656, 9131, 16647, 983, 640, 11172, 2676, 14030, 476, 10131, 14630, 815, 795, 5459, 27916, 4768, 656, 9131, 5055, 4875, 5091, 622, 11172, 2676, 14030, 476, 2012, 815, 795, 5459, 27916, 4768, 656, 9131, 4067, 11172, 2676, 14030, 476, 20747, 327, 1662, 815, 795, 5459, 27916, 4768, 656, 9131, 4565, 584, 327, 1662, 23300, 4449, 3546, 12467, 1038, 3845, 815, 1073, 329, 27916, 4768, 656, 6155, 2700, 10857, 520, 5825, 337, 267, 10693, 5825, 337, 994, 1038, 952, 476, 3845, 2999, 3193, 291, 2700, 912, 2018, 14060, 6910, 9230, 28128, 27916, 4768, 656, 267, 3845, 4917, 13872, 825, 1948, 5785, 955, 268, 590, 15659, 3097, 8931, 825, 1948, 1034, 2442, 1101, 454, 825, 14060, 31699, 31107, 14352, 14433, 13962, 281, 13962, 314, 271, 4940, 16647, 983, 640, 16532, 9258, 815, 6936, 994, 825, 2442, 27916, 4768, 1218, 815, 1205, 12749, 263, 6135, 4768, 1218, 267, 1003, 292, 12661, 267, 3193, 291, 2700, 12467, 8931, 825, 1948, 21777, 1101, 454, 825, 14060, 31699, 31107, 14352, 14433, 13962, 281, 13962, 314, 271, 4940, 5055, 4875, 14630, 1070, 9258, 815, 6936, 994, 825, 21777, 27916, 4768, 1218, 815, 1205, 12749, 263, 6135, 4768, 1218, 267, 1003, 292, 12661, 267, 3193, 291, 2700, 994, 8931, 825, 1948, 14191, 1101, 454, 825, 14060, 31699, 31107, 284, 630, 14433, 13962, 2433, 13962, 314, 272, 316, 16532, 9258, 815, 6936, 994, 825, 14191, 27916, 4768, 1218, 815, 1205, 12749, 263, 6135, 4768, 1218, 267, 1003, 292, 12661, 267, 3193, 291, 2700, 2020, 825, 1948, 5785, 955, 268, 2037, 975, 532, 1267, 8528, 8931, 825, 1267, 815, 13634, 1038, 834, 21827, 257, 2433, 1496, 454, 2018, 13634, 3546, 834, 27583, 257, 2433, 834, 28082, 31777, 1218, 20350, 3546, 834, 6135, 4768, 1218, 257, 2433, 1496, 13962, 10947, 291, 1112, 3890, 585, 13962, 538, 2442, 27916, 4768, 1218, 2639, 2018, 7684, 2676, 2018, 13634, 3546, 834, 27583, 257, 2433, 834, 6124, 31777, 1218, 20350, 3546, 834, 6135, 4768, 1218, 257, 2433, 1496, 13962, 10947, 291, 1112, 3890, 585, 13962, 538, 21777, 27916, 4768, 1218, 2639, 2018, 7684, 2676, 2018, 13634, 3546, 834, 27583, 257, 2433, 834, 301, 792, 2421, 31777, 1218, 20350, 3546, 834, 6135, 4768, 1218, 257, 2433, 1496, 13962, 10947, 291, 1112, 3890, 585, 13962, 538, 14191, 27916, 4768, 1218, 2639, 2018, 7684, 454, 1038, 23378, 825, 7684, 692, 825, 2132, 795, 5459, 1518, 31114, 264, 0, 258, 1627, 272, 23228, 3698, 568, 318, 15957, 28840, 8029, 825, 952, 1297, 4939, 476, 273, 2652, 476, 272, 6769, 1038, 2132, 6936, 1477, 825, 3116, 6769, 1038, 2132, 8771, 5897, 258, 1627, 273, 23228, 3698, 1285, 326, 5332, 13246, 28949, 16911, 8029, 825, 1267, 815, 476, 271, 1477, 825, 585, 1775, 538, 26571, 6769, 1038, 1267, 6834, 1775, 1477, 825, 2132, 476, 1267, 270, 6352, 263, 16911, 3418, 822, 326, 5332, 13246, 263, 272, 267, 273, 3418, 822, 326, 5332, 13246, 263, 272, 267, 273, 267, 274, 267, 275, 267, 276, 10142, 258, 1627, 274, 23228, 6358, 272, 815, 703, 9272, 2891, 424, 366, 360, 423, 366, 486, 424, 356, 372, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 8442, 3418, 6358, 273, 815, 703, 9272, 2891, 423, 495, 494, 423, 366, 486, 424, 356, 372, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 8442, 10142, 20135, 815, 3403, 272, 1341, 3403, 273, 1477, 2745, 2891, 423, 495, 494, 10563, 486, 502, 14602, 502, 476, 17432, 358, 14602, 478, 4939, 338, 28990, 483, 21498, 486, 30319, 257, 4939, 20135, 3418, 5897, 258, 1627, 275, 269, 5897, 258, 1627, 276, 23228, 325, 272, 815, 1930, 2891, 11687, 17902, 2580, 1412, 342, 20298, 325, 272, 22182, 2891, 16908, 568, 1932, 2110, 267, 1411, 991, 9226, 257, 10142, 325, 273, 815, 1930, 2891, 11687, 17902, 2580, 1412, 337, 20298, 1467, 815, 535, 273, 18667, 14052, 2745, 263, 1467, 10142, 258, 1627, 277, 23228, 12528, 17750, 815, 3403, 2891, 32510, 478, 28990, 354, 17432, 510, 14091, 480, 368, 424, 504, 358, 14602, 482, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 281, 14744, 325, 815, 1930, 3488, 11687, 17902, 3299, 1412, 320, 20298, 325, 22182, 263, 12528, 17750, 3418, 325, 22182, 14052, 325, 25379, 31476, 258, 1627, 278, 23228, 325, 815, 1930, 3488, 11687, 17902, 3299, 1412, 337, 20298, 7853, 815, 535, 18667, 14052, 325, 25379, 31476, 7853, 815, 1560, 18622, 2897, 2891, 329, 6072, 14824, 335, 2814, 821, 257, 10142, 325, 815, 1930, 3488, 11687, 17902, 3299, 1412, 342, 20298, 325, 22182, 6357, 1328, 3418, 325, 25379, 3890, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 454, 5228, 17511, 1104, 667, 1112, 267, 5903, 454, 338, 903, 29624, 6910, 2891, 907, 270, 5602, 5814, 1224, 17572, 692, 293, 11223, 815, 834, 6358, 17902, 4840, 258, 293, 11223, 815, 834, 11687, 17902, 5016, 454, 3698, 8237, 8217, 9272, 281, 5903, 314, 1598, 3910, 1642, 574, 3438, 281, 1193, 264, 9847, 5903, 314, 8266, 314, 1598, 316, 14158, 825, 1267, 281, 5903, 314, 8266, 314, 1598, 14963, 815, 11713, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 2990, 815, 3403, 28827, 5560, 601, 574, 3438, 994, 2018, 1267, 6910, 9272, 11468, 6570, 7481, 2018, 3403, 815, 3403, 314, 6570, 266, 272, 281, 2639, 1038, 4849, 28759, 912, 2018, 2736, 454, 825, 1267, 6910, 9272, 994, 825, 2132, 1267, 7531, 6358, 815, 1224, 17572, 18667, 17572, 263, 293, 11223, 994, 753, 9955, 815, 8237, 8217, 9272, 267, 834, 5602, 29798, 281, 5903, 314, 1598, 316, 815, 11713, 8999, 272, 281, 703, 815, 476, 271, 454, 8999, 273, 815, 476, 271, 454, 1721, 513, 538, 4267, 912, 825, 10917, 815, 1412, 8339, 21860, 5416, 994, 825, 10917, 815, 834, 2668, 21860, 5560, 1112, 269, 5228, 12399, 6025, 11391, 4917, 825, 2164, 6910, 6025, 11391, 994, 825, 2040, 272, 6834, 7003, 6025, 11391, 9239, 1721, 1895, 538, 4267, 912, 825, 1268, 18045, 815, 7003, 14116, 4981, 994, 825, 1268, 815, 1895, 314, 271, 2639, 825, 585, 2243, 538, 1268, 912, 1038, 524, 13700, 815, 476, 271, 454, 1038, 585, 1268, 18425, 538, 1895, 314, 272, 281, 14158, 2018, 952, 2243, 538, 1268, 18425, 912, 3546, 524, 13700, 6834, 476, 272, 454, 1038, 952, 524, 13700, 2652, 1268, 18045, 268, 272, 912, 2018, 2040, 273, 6834, 476, 272, 7531, 2745, 2891, 306, 9331, 476, 272, 281, 14307, 2040, 272, 994, 2745, 2891, 306, 9331, 476, 273, 24333, 2040, 273, 994, 0, 5035, 14871, 912, 567, 1219, 6449, 8181, 9191, 1345, 267, 3593, 16182, 267, 27024, 2187, 11434, 1948, 2154, 891, 1079, 547, 1711, 1843, 454, 11434, 1582, 269, 12528, 16182, 815, 3593, 16182, 454, 11434, 1582, 30994, 20713, 815, 27024, 454, 11434, 1948, 1305, 513, 9949, 1871, 602, 649, 917, 6238, 519, 1482, 585, 1169, 1843, 454, 11434, 1582, 8807, 4772, 619, 815, 476, 271, 454, 11434, 1582, 8807, 4772, 532, 815, 476, 271, 692, 567, 1219, 1246, 4311, 267, 12528, 2187, 11434, 3593, 8807, 4772, 619, 6834, 476, 272, 454, 11434, 1582, 8807, 4772, 532, 6834, 476, 272, 692, 12528, 318, 272, 815, 14871, 2891, 9826, 2580, 834, 297, 27889, 5602, 12528, 318, 273, 815, 14871, 2891, 16573, 2580, 834, 17556, 341, 773, 15419, 12528, 318, 272, 8807, 4772, 263, 12528, 318, 273, 2020, 2745, 263, 12528, 318, 272, 8807, 4772, 532, 994, 2745, 263, 12528, 318, 272, 8807, 4772, 619, 2020, 2745, 263, 12528, 318, 273, 8807, 4772, 619, 994, 2745, 263, 12528, 318, 273, 8807, 4772, 532, 2020, 0, 22322, 258, 5384, 29203, 2433, 744, 3799, 264, 630, 2171, 723, 547, 1780, 998, 339, 1169, 3693, 540, 3529, 8094, 258, 6611, 29203, 2433, 744, 3799, 264, 630, 13434, 2720, 542, 10518, 568 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]