Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 827, 1250, 5172, 851, 1107, 519, 717, 4456, 2464, 256, 5994, 1373, 2111, 547, 1569, 7366, 2390, 7366, 540, 1585, 10643, 8151, 689, 5929, 3556, 3756, 267, 18343, 14743, 267, 11015, 2591, 267, 2962, 9035, 267, 5026, 13502, 267, 543, 1082, 1866, 269, 1703, 616, 1256, 3756, 1759, 593, 2442, 9413, 610, 7641, 2982, 256, 1411, 1223, 6108, 2395, 3695, 1007, 13847, 543, 20460, 1746, 2025, 29202, 780, 2026, 596, 7832, 593, 707, 1378, 3460, 998, 8092, 5658, 16629, 3626, 267, 3314, 602, 2259, 2306, 3501, 269, 1924, 1832, 3843, 267, 1565, 267, 543, 11981, 519, 1184, 269, 17652, 2614, 267, 596, 1522, 3605, 6456, 15421, 610, 2994, 602, 2490, 707, 11080, 7886, 883, 12300, 10781, 269, 8414, 11080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 547, 519, 6264, 21048, 4979, 540, 8092, 5658, 16629, 3626, 267, 1141, 11080, 12439, 27721, 547, 1995, 513, 1158, 540, 10761, 267, 9913, 267, 543, 6909, 12587, 269, 769, 713, 3102, 3391, 267, 649, 786, 14091, 508, 506, 423, 497, 506, 423, 356, 486, 425, 479, 361, 424, 373, 368, 424, 356, 478, 423, 483, 372, 424, 352, 376, 424, 484, 490, 1491, 596, 593, 513, 4663, 540, 8092, 5658, 16629, 3626, 267, 5356, 4030, 883, 922, 9159, 6389, 267, 13858, 2621, 267, 543, 519, 17170, 1909, 540, 12600, 19420, 976, 538, 7393, 707, 11080, 3460, 269, 6787, 596, 2461, 513, 19023, 6345, 610, 1175, 4358, 856, 267, 713, 2376, 568, 707, 979, 3562, 4199, 585, 1818, 519, 1034, 540, 8092, 5658, 16629, 3626, 563, 763, 8092, 5658, 16629, 3626, 23792, 281, 589, 7591, 3033, 585, 31133, 619, 454, 27455, 5658, 16629, 3626, 568, 711, 707, 2196, 6361, 7308, 2173, 650, 2228, 25877, 282, 621, 779, 513, 5691, 27032, 2966, 547, 8597, 547, 1169, 11080, 13283, 269, 2060, 922, 16022, 3593, 8818, 267, 10875, 23877, 267, 543, 606, 3573, 3014, 5399, 267, 8092, 5658, 16629, 3626, 14767, 606, 15138, 543, 20605, 11080, 1995, 269, 769, 713, 3296, 267, 649, 3580, 5490, 883, 519, 10747, 2934, 602, 1118, 8092, 5658, 16629, 3626, 1796, 856, 912, 29228, 19139, 281, 10812, 513, 5318, 5044, 540, 3756, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1169, 6760, 3423, 919, 519, 1876, 267, 711, 1169, 18670, 540, 519, 1876, 12523, 607, 513, 6760, 563, 1432, 616, 519, 476, 279, 2489, 2934, 540, 6760, 888, 763, 2609, 540, 513, 6760, 616, 7803, 957, 267, 7803, 8247, 267, 598, 2017, 5270, 267, 1757, 566, 267, 2800, 267, 543, 7390, 656, 6381, 563, 1432, 616, 519, 2947, 2010, 540, 6760, 888, 5472, 10963, 3514, 883, 835, 540, 2947, 6688, 267, 1519, 10795, 267, 3959, 267, 1857, 1931, 267, 13055, 543, 3043, 27897, 269, 7743, 569, 7114, 519, 2470, 540, 519, 6760, 543, 519, 7121, 896, 799, 547, 11654, 24235, 267, 568, 1898, 538, 519, 13287, 540, 5126, 267, 543, 1590, 581, 28078, 8308, 543, 9846, 563, 1432, 616, 519, 2609, 540, 21688, 3415, 888, 292, 4041, 300, 19006, 5508, 674, 5085, 2177, 22494, 281, 476, 272, 269, 1703, 1590, 581, 606, 957, 610, 522, 3939, 476, 273, 269, 15722, 27720, 676, 1876, 476, 274, 269, 769, 2017, 1042, 676, 1797, 540, 13587, 527, 610, 13337, 2467, 1590, 581, 606, 957, 610, 522, 3939, 10422, 684, 27720, 676, 1876, 16638, 2017, 1042, 676, 1797, 540, 13587, 527, 610, 13337, 269, 0, 272, 269, 272, 269, 17461, 540, 519, 5530, 454, 288, 6006, 5385, 568, 3964, 547, 2226, 3742, 9467, 799, 4679, 519, 28880, 610, 2344, 1464, 540, 8843, 267, 948, 4368, 2671, 5777, 602, 8451, 998, 8852, 602, 2095, 689, 9520, 7569, 543, 14273, 7375, 267, 2327, 2922, 543, 4023, 7231, 998, 3652, 267, 6042, 543, 676, 2000, 9155, 3964, 267, 5351, 538, 14104, 519, 4346, 998, 7858, 6636, 543, 4483, 1464, 540, 519, 19736, 267, 23425, 540, 1344, 998, 1585, 12326, 267, 543, 2063, 569, 957, 607, 513, 2773, 1802, 1356, 2094, 5777, 540, 13632, 2992, 519, 2773, 540, 21775, 3549, 630, 297, 25493, 267, 17939, 327, 11535, 267, 1299, 17455, 5984, 267, 476, 1001, 274, 1916, 763, 2883, 6963, 1184, 11363, 519, 1646, 540, 519, 19736, 2344, 607, 606, 4244, 2707, 540, 1279, 3856, 3854, 538, 6932, 2344, 799, 568, 2629, 585, 2804, 1646, 2016, 519, 2318, 2078, 1063, 1279, 3856, 3854, 543, 2804, 2208, 630, 11917, 3120, 1299, 7102, 24546, 267, 476, 1001, 277, 1040, 1306, 513, 10862, 4061, 267, 519, 15057, 2229, 538, 519, 476, 1960, 278, 270, 1220, 272, 4886, 4643, 7074, 519, 991, 547, 6521, 689, 519, 811, 7199, 2110, 3856, 8804, 538, 3870, 540, 14949, 1279, 3856, 8804, 585, 4264, 22713, 547, 581, 6913, 269, 634, 1279, 2165, 8804, 666, 581, 6913, 998, 7379, 302, 17609, 799, 568, 513, 1505, 540, 9870, 7482, 998, 519, 3390, 540, 8843, 547, 9520, 538, 513, 3119, 2344, 676, 3549, 630, 297, 25493, 1696, 620, 1421, 476, 1001, 274, 1040, 19461, 1857, 17008, 630, 7709, 11675, 264, 666, 581, 4767, 607, 513, 1184, 9967, 540, 1079, 1898, 2694, 269, 634, 1101, 835, 666, 581, 4767, 607, 519, 3355, 1857, 5356, 540, 513, 2754, 779, 1455, 8843, 267, 1247, 519, 2034, 835, 666, 581, 4767, 607, 519, 17609, 540, 513, 2754, 779, 2671, 593, 513, 6006, 5385, 630, 298, 15546, 990, 545, 1299, 10127, 534, 990, 545, 267, 476, 1001, 277, 1040, 769, 1931, 547, 2744, 3152, 28880, 543, 1732, 1569, 547, 3854, 267, 3549, 6133, 741, 9698, 547, 519, 1857, 998, 19461, 5398, 20644, 902, 630, 7709, 11675, 264, 543, 18520, 24054, 20644, 902, 630, 8245, 12011, 340, 267, 23688, 2426, 320, 267, 4446, 14505, 267, 1299, 4223, 23176, 267, 476, 1001, 277, 1040, 8496, 3120, 630, 1001, 271, 264, 2829, 602, 9698, 6990, 7520, 519, 2095, 540, 7482, 689, 1367, 610, 12250, 9520, 547, 14078, 543, 5512, 519, 14078, 547, 8804, 741, 5092, 538, 1007, 610, 9450, 1870, 26136, 269, 634, 936, 337, 4575, 8404, 585, 606, 7379, 302, 568, 547, 3715, 513, 5277, 2344, 585, 519, 6109, 779, 6006, 630, 313, 26907, 267, 29142, 6577, 267, 1299, 23514, 267, 476, 1220, 273, 1040, 7379, 11675, 4043, 547, 2049, 1282, 4439, 1501, 6006, 6990, 950, 1761, 9520, 616, 811, 5461, 538, 11449, 1007, 13632, 563, 7437, 519, 7379, 302, 1184, 267, 1007, 3549, 538, 519, 3854, 6990, 1118, 519, 1857, 3390, 585, 519, 1101, 942, 269, 6270, 2152, 616, 6083, 730, 998, 19175, 4926, 267, 1433, 2679, 267, 4357, 1747, 906, 267, 11751, 856, 9388, 543, 2924, 2152, 269, 5696, 662, 600, 543, 661, 327, 9071, 731, 339, 630, 1001, 272, 264, 5581, 606, 7379, 302, 607, 519, 1101, 9513, 540, 2754, 779, 6006, 547, 3544, 9520, 543, 1287, 15603, 519, 6006, 4123, 538, 19736, 685, 6990, 269, 7379, 11675, 2709, 3255, 585, 10909, 547, 4129, 1518, 9562, 267, 946, 6006, 6990, 607, 606, 14827, 4640, 585, 9921, 4213, 543, 6318, 7482, 585, 5092, 630, 16205, 267, 10609, 2720, 1117, 267, 1299, 631, 644, 3711, 328, 267, 476, 1220, 278, 607, 11855, 538, 744, 572, 328, 267, 1520, 329, 14515, 267, 1299, 674, 807, 342, 1195, 1057, 267, 476, 1001, 273, 1040, 589, 1268, 3091, 19736, 547, 519, 1857, 538, 15057, 952, 267, 547, 519, 6708, 602, 519, 2709, 568, 1500, 547, 7606, 538, 15057, 267, 621, 568, 1500, 547, 1022, 3296, 540, 519, 1857, 267, 2436, 5697, 607, 2818, 610, 3181, 550, 675, 25963, 540, 513, 1560, 9746, 267, 610, 607, 7218, 540, 519, 1268, 1818, 519, 2709, 267, 610, 538, 1022, 824, 6073, 267, 568, 547, 581, 9833, 607, 1500, 547, 519, 1857, 282, 543, 519, 2474, 968, 21504, 2709, 892, 543, 968, 21504, 5356, 892, 4927, 581, 1526, 29471, 9935, 630, 30025, 540, 15057, 267, 476, 1220, 273, 1040, 631, 10767, 30253, 630, 1001, 277, 264, 7150, 602, 606, 11769, 602, 13821, 547, 20006, 606, 7379, 302, 538, 15057, 814, 547, 1101, 3489, 519, 28431, 689, 13317, 29714, 16958, 630, 290, 7246, 264, 1354, 621, 666, 4163, 856, 606, 7379, 302, 563, 272, 269, 273, 269, 6820, 21887, 540, 13437, 540, 7379, 302, 853, 4169, 454, 763, 3390, 540, 1857, 17008, 814, 8507, 538, 1483, 28880, 5137, 676, 519, 29307, 10909, 11451, 543, 713, 568, 1946, 922, 1353, 568, 540, 2956, 547, 4081, 2103, 267, 3609, 15670, 543, 2872, 5716, 538, 3160, 2268, 269, 674, 8787, 723, 1044, 2111, 547, 6318, 1713, 2179, 540, 9698, 543, 7963, 8804, 998, 7379, 11675, 269, 1280, 3236, 267, 1063, 476, 2735, 271, 543, 476, 1220, 272, 267, 519, 1297, 540, 3549, 2469, 1857, 538, 519, 2136, 2276, 25295, 835, 829, 1870, 1554, 9870, 2475, 1269, 4366, 279, 5479, 538, 14407, 23131, 630, 305, 7867, 1299, 21969, 577, 267, 476, 1220, 273, 1040, 13018, 267, 538, 476, 1001, 271, 519, 6820, 7379, 302, 4320, 729, 2475, 259, 476, 18231, 5479, 609, 7489, 7414, 8051, 585, 476, 3393, 260, 630, 24589, 2089, 324, 267, 476, 1001, 273, 1040, 769, 3127, 267, 519, 7379, 302, 2344, 14754, 606, 1011, 5317, 2208, 689, 476, 15647, 2152, 1282, 476, 1960, 272, 268, 1960, 273, 2179, 532, 547, 12652, 269, 476, 278, 2190, 5186, 637, 547, 476, 13670, 278, 7379, 11675, 585, 12652, 269, 476, 1015, 267, 280, 2190, 269, 1556, 5186, 637, 1282, 476, 1960, 276, 268, 1960, 277, 630, 2419, 4725, 571, 267, 476, 1001, 272, 1040, 3794, 984, 958, 1282, 519, 1101, 3368, 540, 476, 1001, 276, 267, 972, 941, 476, 277, 4029, 7379, 302, 9388, 9870, 2475, 259, 476, 9818, 269, 278, 5479, 7856, 607, 476, 11277, 9388, 538, 2883, 5823, 267, 476, 15686, 9388, 538, 4853, 5823, 267, 476, 9032, 9388, 538, 1072, 1416, 543, 476, 11463, 9388, 538, 2029, 630, 11293, 333, 652, 543, 8479, 6820, 7379, 302, 12367, 267, 476, 1001, 276, 1916, 1103, 17111, 267, 593, 3328, 267, 519, 7379, 11675, 689, 519, 4357, 5823, 616, 24598, 878, 539, 543, 1397, 513, 4806, 540, 896, 704, 18504, 630, 17463, 7024, 264, 538, 519, 1279, 24507, 909, 547, 2947, 1296, 269, 634, 3355, 4430, 7024, 616, 3361, 676, 519, 6871, 540, 2671, 4421, 267, 519, 10462, 827, 519, 2104, 1871, 540, 519, 6109, 267, 519, 2344, 4994, 2770, 551, 6672, 267, 519, 2450, 540, 6109, 543, 519, 1871, 540, 3390, 593, 519, 1101, 1554, 540, 9467, 630, 3674, 333, 584, 327, 14508, 267, 772, 3405, 267, 667, 11672, 267, 1299, 4173, 5050, 334, 267, 476, 1220, 279, 1040, 769, 3624, 267, 593, 519, 824, 1688, 267, 519, 3328, 24598, 878, 532, 540, 7379, 11675, 568, 4049, 609, 476, 2412, 269, 275, 260, 538, 476, 1001, 271, 269, 769, 519, 2136, 2276, 540, 3013, 267, 972, 814, 1044, 16434, 7379, 302, 24598, 878, 532, 269, 1452, 7379, 11675, 723, 849, 896, 704, 11526, 585, 3236, 856, 540, 476, 278, 4029, 275, 772, 2529, 269, 7379, 11675, 689, 476, 2735, 271, 268, 1220, 279, 267, 519, 3328, 476, 274, 4458, 4444, 7146, 3620, 1245, 2132, 689, 519, 1101, 14656, 2344, 3902, 729, 476, 736, 269, 279, 260, 630, 305, 7867, 267, 476, 1001, 272, 1040, 10557, 267, 13177, 543, 19124, 630, 1960, 277, 264, 1336, 7379, 11675, 538, 8241, 6990, 689, 476, 3192, 277, 268, 2735, 280, 896, 704, 11526, 513, 1852, 1895, 676, 476, 7906, 260, 538, 1614, 1296, 1247, 700, 329, 2426, 336, 341, 626, 630, 1960, 278, 264, 1336, 602, 7379, 11675, 538, 4436, 6990, 689, 476, 3192, 271, 268, 1960, 271, 896, 704, 11526, 1852, 1895, 676, 476, 1321, 260, 538, 476, 274, 1296, 563, 1103, 519, 15173, 15158, 6006, 2344, 267, 7379, 302, 779, 8720, 519, 1296, 476, 1960, 274, 268, 1960, 278, 267, 972, 568, 513, 2178, 2078, 1063, 20090, 3747, 585, 7379, 302, 779, 543, 519, 2110, 543, 1279, 24507, 2022, 268, 22568, 2773, 540, 7379, 302, 779, 17929, 519, 7767, 528, 3747, 585, 7379, 302, 779, 568, 9797, 1644, 547, 519, 3355, 7024, 540, 891, 10909, 269, 634, 7024, 540, 519, 1101, 9467, 1554, 5815, 602, 519, 7379, 302, 779, 609, 1164, 20090, 3747, 568, 3648, 24598, 878, 539, 1247, 519, 7379, 302, 779, 609, 1970, 20090, 3747, 616, 936, 335, 878, 539, 630, 288, 3258, 19789, 267, 20568, 267, 1299, 28039, 324, 267, 476, 1220, 279, 1040, 634, 1279, 24507, 2450, 14194, 3286, 539, 4430, 7024, 540, 7379, 302, 779, 616, 11874, 1644, 547, 9520, 3747, 269, 7379, 302, 779, 609, 1164, 20090, 3747, 723, 1804, 2318, 3355, 7024, 855, 2942, 3476, 24507, 4430, 7024, 1247, 7379, 302, 779, 609, 1970, 20090, 3747, 723, 2942, 3355, 7024, 855, 2318, 3476, 24507, 4430, 7024, 269, 7767, 832, 685, 3747, 585, 606, 7379, 302, 568, 7361, 9141, 676, 20090, 779, 936, 516, 9146, 547, 519, 1344, 827, 519, 16548, 1991, 547, 519, 17008, 563, 1103, 4516, 267, 9520, 4810, 2530, 538, 519, 1279, 2196, 7379, 302, 2773, 540, 2947, 1296, 630, 298, 944, 328, 1299, 17610, 339, 267, 476, 1220, 275, 1040, 769, 519, 5177, 593, 519, 824, 1688, 267, 1507, 3549, 1969, 539, 8335, 689, 1804, 3549, 543, 11124, 689, 8338, 1279, 2196, 2773, 982, 1804, 3549, 630, 300, 2117, 267, 10609, 2720, 1117, 267, 1299, 631, 644, 3711, 328, 267, 476, 1220, 277, 1040, 21452, 538, 8050, 3854, 2344, 267, 1325, 29166, 345, 543, 30781, 1446, 345, 630, 1220, 272, 264, 1336, 602, 519, 1279, 2196, 896, 704, 18504, 568, 9039, 343, 11962, 563, 763, 16888, 1014, 3355, 1857, 17008, 630, 7709, 11675, 264, 7396, 538, 2549, 2006, 6006, 5385, 1282, 519, 1974, 689, 630, 272, 560, 5130, 267, 476, 1960, 274, 2394, 476, 4029, 560, 5412, 267, 476, 1001, 272, 264, 16030, 540, 476, 15686, 3549, 543, 10865, 7024, 540, 476, 2568, 3275, 2982, 602, 519, 7379, 11675, 896, 704, 845, 538, 519, 1279, 2196, 4352, 519, 1377, 540, 896, 704, 18504, 15320, 609, 519, 2186, 540, 25162, 602, 568, 6964, 547, 2268, 519, 1279, 2196, 2773, 630, 293, 1177, 1794, 1299, 14642, 4821, 267, 476, 1001, 276, 1040, 769, 519, 5177, 267, 1210, 513, 3732, 540, 476, 278, 1321, 7379, 11675, 689, 476, 2735, 271, 547, 476, 2735, 279, 2274, 6665, 630, 1960, 274, 264, 1336, 602, 519, 1279, 2196, 2773, 568, 1759, 593, 1614, 4244, 14541, 12201, 281, 519, 2883, 942, 27103, 2456, 782, 2671, 4994, 630, 10499, 9590, 1070, 519, 14208, 541, 717, 913, 1777, 1507, 3549, 4994, 630, 295, 14899, 5746, 1070, 543, 782, 2671, 8449, 22051, 4994, 630, 3008, 11246, 296, 1916, 272, 269, 274, 269, 13437, 540, 7379, 302, 853, 4169, 538, 4000, 454, 1103, 4000, 267, 972, 941, 476, 2764, 7379, 11675, 9870, 2475, 259, 476, 273, 269, 280, 5479, 538, 476, 1001, 278, 1247, 1063, 476, 1001, 274, 543, 476, 1001, 278, 972, 941, 513, 2698, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 4515, 8061, 454, 1607, 1449, 11974, 2436, 606, 4767, 3892, 15320, 689, 606, 4397, 3892, 269, 898, 1939, 525, 519, 16584, 30026, 18802, 267, 5232, 540, 5191, 630, 2710, 293, 1070, 543, 533, 17032, 269, 20305, 3403, 513, 3349, 609, 4737, 543, 6241, 10297, 267, 4767, 12451, 593, 519, 1101, 4737, 267, 543, 4397, 12451, 593, 519, 2034, 4737, 269, 634, 14275, 8367, 568, 602, 519, 4767, 2418, 723, 519, 4397, 4908, 3892, 563, 1607, 9498, 1939, 525, 519, 16584, 30026, 18802, 267, 5232, 540, 5191, 630, 2710, 293, 1070, 543, 533, 17032, 585, 519, 15616, 30026, 1449, 585, 7862, 540, 14778, 269, 20305, 3403, 513, 3349, 540, 2418, 609, 4737, 543, 6241, 10297, 1510, 2698, 8464, 269, 634, 14275, 8367, 568, 602, 519, 782, 519, 5439, 723, 519, 1482, 3892, 563, 1607, 4351, 1297, 3028, 2636, 3755, 547, 5352, 909, 547, 476, 1015, 267, 1822, 4351, 9981, 609, 5918, 27289, 267, 19747, 9696, 1510, 5918, 27289, 267, 610, 909, 547, 476, 1626, 4893, 984, 344, 5052, 540, 6151, 4351, 25466, 269, 20305, 666, 849, 16212, 5691, 11113, 543, 5352, 4351, 3787, 332, 2355, 269, 6206, 2262, 281, 15932, 7089, 31098, 269, 0, 263, 763, 5767, 4528, 540, 713, 2985, 568, 693, 23694, 2677, 18587, 269, 1323, 2895, 1882, 5299, 540, 713, 2985, 568, 4371, 693, 4179, 2517, 4178, 4877, 520, 1181, 810, 325, 12741, 3820, 270, 539, 819, 6349, 270, 276, 6246, 273, 21867, 994, 763, 1876, 568, 2938, 607, 796, 1740, 762, 543, 5924, 15490, 952, 621, 7526, 609, 3909, 1876, 269, 634, 6679, 21291, 540, 519, 3689, 14821, 547, 519, 1977, 9139, 2709, 606, 1383, 540, 513, 5078, 16102, 912, 2108, 17812, 816, 4927, 1118, 1100, 1876, 18245, 606, 10661, 540, 4984, 267, 610, 10238, 1746, 519, 1863, 3635, 23476, 9731, 2005, 568, 606, 1383, 540, 7863, 5191, 540, 4984, 676, 8763, 29591, 269, 2048, 763, 15593, 6975, 4530, 685, 729, 606, 1271, 2475, 10966, 7040, 15194, 547, 3313, 2436, 9086, 7526, 609, 713, 6240, 282, 621, 949, 581, 9034, 2213, 607, 912, 2108, 2690, 519, 1367, 267, 519, 5480, 1590, 3313, 454, 6440, 2436, 519, 1268, 814, 513, 3409, 5473, 513, 25442, 3909, 3661, 267, 543, 454, 6440, 2436, 519, 2229, 2962, 568, 513, 8101, 11411, 593, 519, 1268, 779, 2702, 547, 957, 593, 602, 3661, 563, 2252, 891, 1079, 2609, 616, 3964, 267, 1287, 519, 2229, 1590, 6961, 602, 621, 568, 9117, 538, 2417, 766, 540, 513, 834, 4818, 2454, 1533, 1719, 2437, 543, 602, 621, 814, 22002, 602, 1719, 538, 519, 6073, 2547, 25516, 267, 610, 2547, 24675, 727, 267, 547, 4984, 1848, 3097, 1607, 1449, 3927, 14014, 782, 10764, 267, 1519, 12102, 4978, 630, 663, 519, 15194, 538, 15593, 6975, 642, 269, 7638, 1676, 9672, 602, 1530, 22770, 4303, 13491, 1235, 941, 6870, 676, 519, 3689, 14821, 1040, 898, 568, 513, 3730, 1305, 540, 7355, 547, 4019, 950, 6236, 952, 543, 875, 547, 9777, 622, 593, 782, 1543, 1190, 2152, 7133, 4984, 563, 1103, 513, 12683, 626, 2486, 972, 1131, 581, 31934, 4655, 952, 519, 1876, 941, 547, 4481, 2154, 9048, 31437, 7180, 267, 610, 952, 621, 941, 547, 10238, 527, 2853, 602, 616, 2769, 569, 2838, 676, 513, 4984, 630, 553, 3982, 689, 2686, 5389, 602, 949, 723, 1044, 15868, 676, 1018, 666, 581, 2938, 607, 3140, 12496, 1040, 769, 513, 2486, 602, 4847, 1312, 3909, 1876, 543, 3557, 1876, 547, 7500, 267, 519, 3909, 1876, 1131, 581, 4835, 2213, 676, 1346, 945, 1185, 8067, 1229, 547, 581, 16271, 547, 621, 543, 1131, 267, 538, 741, 4064, 267, 581, 811, 1271, 982, 3557, 1876, 1107, 1256, 1498, 538, 2259, 519, 8545, 1131, 723, 547, 1491, 9551, 775, 952, 972, 941, 513, 4655, 1063, 519, 1079, 630, 7277, 269, 10482, 269, 2412, 269, 18684, 1916, 2005, 568, 2009, 585, 835, 1876, 547, 13918, 1082, 3909, 4978, 952, 972, 568, 1434, 15884, 543, 952, 519, 4140, 26547, 568, 2111, 547, 581, 8465, 630, 276, 269, 273, 269, 273, 1040, 634, 2296, 7040, 540, 2561, 7002, 15194, 593, 9699, 1212, 332, 725, 729, 513, 1434, 1383, 281, 621, 729, 2111, 547, 31363, 519, 9699, 10421, 547, 581, 26151, 538, 519, 1930, 2011, 609, 519, 4540, 1876, 602, 2838, 513, 1212, 332, 566, 547, 581, 538, 513, 2679, 269, 634, 3070, 729, 547, 723, 513, 2679, 609, 851, 540, 922, 8122, 1930, 563, 15100, 23694, 810, 325, 20175, 3820, 267, 476, 1001, 275, 454, 901, 5758, 540, 519, 15593, 6975, 1449, 7902, 538, 9504, 543, 729, 2139, 538, 2904, 476, 1001, 275, 693, 5291, 2517, 523, 25769, 3820, 28293, 13478, 615, 6975, 24449, 11519, 19723, 1676, 269, 634, 15194, 3294, 729, 693, 4179, 2517, 338, 1575, 3153, 269, 3286, 807, 2593, 11305, 1162, 11721, 3985, 270, 639, 270, 4391, 275, 270, 4375, 279, 11305, 848, 11258, 269, 2859, 5947, 902, 941, 7396, 538, 4855, 25187, 543, 941, 2139, 693, 519, 1482, 942, 689, 5291, 2517, 322, 553, 601, 1177, 7456, 335, 26098, 18721, 2593, 7933, 1092, 270, 6247, 3191, 270, 600, 10180, 4905, 270, 4962, 11258, 258, 276, 563, 634, 18917, 4080, 713, 2013, 593, 922, 3896, 267, 593, 476, 1015, 5988, 476, 1001, 271, 267, 896, 519, 2140, 9699, 17993, 3345, 3784, 1633, 24133, 7510, 516, 6370, 269, 898, 729, 2139, 538, 2904, 476, 1001, 275, 693, 5291, 2517, 18080, 269, 6277, 322, 16691, 16896, 270, 272, 270, 6062, 270, 1263, 1633, 270, 1399, 928, 270, 25616, 4281, 272, 272, 14714, 332, 269, 0, 763, 2068, 16569, 1079, 547, 1614, 4374, 563, 1805, 2774, 569, 6340, 267, 519, 1455, 4411, 568, 513, 7622, 2012, 585, 1082, 3676, 10483, 676, 8611, 267, 4937, 4731, 320, 1047, 543, 3006, 8611, 267, 15677, 267, 669, 1571, 543, 31191, 2429, 519, 1560, 269, 634, 1482, 2589, 666, 5815, 602, 596, 10272, 519, 2770, 563, 10303, 1419, 519, 3461, 5128, 12662, 513, 5868, 267, 621, 666, 3362, 25657, 519, 1455, 4411, 543, 519, 2770, 563, 2026, 3254, 676, 519, 7422, 540, 7189, 267, 538, 1880, 8047, 1895, 540, 13500, 689, 1453, 779, 6413, 540, 9628, 7788, 1299, 7917, 670, 269, 700, 584, 773, 5753, 779, 11233, 267, 616, 1034, 11630, 547, 897, 1091, 543, 1114, 5686, 540, 14798, 1453, 9907, 476, 271, 547, 476, 1691, 1296, 269, 1358, 4163, 513, 18219, 2068, 267, 741, 1560, 1869, 666, 711, 8362, 5706, 519, 2360, 540, 8290, 543, 4551, 267, 519, 4761, 1062, 568, 711, 693, 2407, 4222, 269, 1306, 513, 4341, 267, 689, 476, 1911, 945, 814, 513, 4411, 610, 2770, 2550, 538, 519, 1657, 2085, 1895, 1282, 519, 3018, 540, 6454, 540, 1072, 782, 693, 476, 3374, 268, 4343, 2600, 269, 4033, 2665, 9156, 3476, 519, 2068, 16569, 1079, 547, 1614, 4374, 267, 543, 789, 1020, 1114, 8374, 563, 22137, 540, 2937, 2550, 538, 519, 16758, 267, 3687, 928, 24550, 2806, 321, 2714, 3345, 13523, 11233, 4951, 602, 856, 540, 476, 1911, 2665, 540, 14798, 693, 519, 2085, 540, 476, 1691, 547, 476, 3374, 1296, 616, 519, 15864, 547, 20496, 9636, 543, 9156, 609, 1697, 2126, 1369, 476, 278, 268, 1015, 2395, 909, 547, 476, 3393, 2600, 540, 2367, 543, 2021, 269, 769, 4587, 2085, 267, 1382, 568, 12042, 1229, 676, 519, 4527, 540, 2550, 543, 1644, 5312, 3676, 563, 14197, 9439, 267, 2564, 4099, 595, 32385, 10620, 5753, 779, 11233, 6481, 4741, 723, 4857, 519, 1034, 8984, 4191, 540, 513, 4411, 267, 799, 786, 948, 547, 10646, 621, 689, 14798, 269, 1403, 513, 1268, 814, 6632, 3952, 267, 610, 1223, 621, 2907, 585, 1896, 3108, 666, 2014, 18473, 2589, 281, 15319, 11563, 267, 3395, 2196, 5500, 9224, 609, 17725, 11166, 267, 11522, 269, 634, 2837, 666, 581, 538, 519, 3339, 2039, 610, 4473, 5594, 543, 7444, 269, 634, 1646, 540, 519, 2068, 267, 2523, 952, 596, 616, 538, 3346, 609, 519, 32125, 1268, 267, 1034, 2693, 267, 568, 10502, 519, 4411, 267, 799, 3340, 2126, 609, 11216, 538, 4999, 609, 1134, 8153, 12563, 14319, 563, 4913, 267, 547, 21559, 11216, 1152, 519, 4387, 267, 540, 1576, 267, 1310, 8876, 856, 3617, 9382, 269, 769, 602, 2013, 267, 952, 519, 1268, 1869, 7140, 856, 547, 581, 519, 2770, 267, 799, 519, 2770, 729, 1175, 28263, 676, 267, 11216, 711, 1152, 786, 711, 948, 267, 855, 666, 2014, 519, 1560, 2800, 1107, 585, 519, 8290, 267, 789, 798, 711, 957, 267, 519, 1268, 786, 991, 2126, 609, 27179, 11955, 563, 2414, 5431, 2770, 2589, 568, 2009, 676, 25921, 2810, 519, 2837, 630, 1721, 513, 1906, 3108, 621, 666, 979, 909, 547, 476, 4343, 268, 4375, 5232, 1070, 1360, 11213, 31191, 2429, 519, 1560, 267, 4049, 15677, 267, 25017, 540, 519, 4064, 543, 4743, 873, 8781, 269, 3509, 2589, 540, 14798, 616, 2147, 547, 2589, 540, 11959, 1107, 713, 2337, 547, 10646, 519, 5906, 10194, 2068, 689, 9190, 897, 1091, 543, 8650, 7929, 3676, 563, 8448, 2009, 630, 8117, 711, 2838, 264, 2770, 2589, 949, 1331, 4937, 8467, 267, 15353, 267, 546, 4900, 1465, 267, 19818, 269, 1677, 930, 6708, 267, 2569, 891, 18473, 17915, 786, 948, 4235, 7899, 540, 1216, 1107, 621, 18788, 13802, 689, 519, 1560, 269, 1809, 621, 568, 1271, 547, 3314, 602, 519, 4411, 949, 581, 28263, 676, 14798, 267, 543, 547, 13173, 621, 267, 543, 1256, 16765, 820, 812, 1310, 23232, 689, 519, 2770, 1107, 18604, 676, 4576, 267, 519, 1560, 568, 8572, 547, 5706, 18113, 968, 3430, 17977, 892, 4551, 269, 1656, 540, 1576, 267, 585, 519, 16595, 6051, 621, 568, 2556, 547, 979, 547, 519, 4387, 267, 10503, 1864, 607, 519, 2589, 540, 897, 1091, 543, 2770, 799, 812, 568, 2693, 547, 14353, 269, 0, 24679, 781, 1496, 7717, 32758, 316, 835, 540, 519, 6505, 9634, 538, 6683, 2437, 3081, 808, 269, 769, 519, 5614, 540, 476, 1001, 280, 267, 22408, 32758, 9544, 12628, 476, 278, 2600, 689, 513, 1032, 4505, 4611, 538, 513, 4130, 7693, 538, 519, 2887, 269, 6904, 540, 519, 1739, 7031, 568, 1031, 1312, 607, 513, 1426, 543, 607, 513, 535, 617, 1457, 286, 29813, 32758, 14143, 616, 15810, 547, 7914, 476, 1556, 260, 713, 1032, 267, 547, 476, 276, 269, 11025, 2929, 267, 2687, 547, 519, 772, 2529, 269, 4972, 540, 11982, 630, 4785, 6395, 264, 834, 3682, 338, 8826, 7233, 902, 257, 7797, 269, 5607, 267, 4000, 543, 519, 5449, 8168, 5742, 3132, 3592, 782, 519, 1158, 2507, 634, 7693, 568, 6738, 585, 13184, 267, 1480, 4616, 543, 2872, 3096, 267, 855, 10286, 3747, 11479, 5777, 543, 14143, 269, 7490, 2953, 519, 1739, 6959, 543, 2119, 1586, 281, 1284, 4312, 9571, 602, 596, 616, 1210, 606, 5667, 6269, 9285, 11422, 269, 834, 2026, 649, 1205, 519, 13143, 2344, 1394, 267, 543, 12696, 1205, 811, 540, 519, 14167, 267, 14143, 786, 979, 909, 1701, 269, 12397, 267, 29704, 543, 10412, 20304, 616, 782, 9467, 1134, 2630, 519, 1942, 540, 2504, 585, 1034, 12696, 1317, 540, 4617, 19844, 543, 13143, 3747, 269, 634, 14305, 540, 3484, 1858, 547, 22408, 32758, 7031, 814, 1044, 21177, 267, 1247, 519, 11729, 829, 20267, 732, 723, 1044, 2810, 269, 29813, 32758, 568, 1851, 519, 1034, 3608, 7031, 538, 7503, 540, 3859, 1648, 543, 946, 540, 1216, 543, 568, 1634, 607, 513, 1164, 20589, 267, 10980, 27031, 7693, 602, 568, 13476, 7874, 269, 4516, 281, 476, 276, 269, 2004, 2929, 536, 335, 323, 4516, 568, 7444, 16246, 519, 1592, 540, 3056, 3282, 12696, 267, 909, 689, 1297, 2947, 630, 1001, 279, 282, 476, 276, 269, 3066, 2929, 536, 335, 323, 264, 547, 1297, 2185, 269, 21277, 1424, 476, 274, 267, 4335, 8536, 11973, 19726, 513, 1032, 267, 3624, 568, 835, 540, 519, 1158, 779, 4102, 10412, 12696, 269, 1306, 513, 23611, 267, 22408, 32758, 568, 519, 476, 274, 6113, 1034, 3812, 10286, 538, 519, 2197, 269, 769, 519, 476, 3192, 271, 338, 267, 5176, 782, 540, 519, 2113, 2280, 7031, 19122, 538, 519, 2197, 941, 1031, 585, 6469, 4616, 269, 2353, 824, 30931, 616, 519, 3601, 540, 741, 9757, 5411, 269, 634, 1158, 779, 3056, 16073, 540, 2113, 2280, 568, 3127, 269, 6904, 540, 519, 1739, 2477, 568, 519, 4102, 16073, 540, 3282, 572, 2644, 286, 9717, 922, 9422, 543, 2810, 5010, 1871, 267, 1082, 4525, 1472, 519, 1158, 616, 3238, 538, 519, 1804, 4336, 2504, 540, 519, 7693, 269, 630, 320, 264, 3624, 630, 321, 264, 8478, 630, 322, 264, 3127, 630, 323, 264, 29874, 630, 322, 264, 3127, 476, 736, 269, 22414, 5383, 1331, 10980, 10892, 282, 4187, 547, 1250, 20799 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20112, 8127, 616, 513, 1826, 540, 15790, 689, 3624, 269, 1358, 4076, 1044, 26870, 547, 3489, 1082, 4778, 630, 321, 3497, 267, 2699, 267, 10538, 267, 3109, 267, 3043, 267, 5835, 1070, 7306, 267, 1710, 5546, 267, 543, 1560, 5546, 269, 6982, 3745, 1572, 2961, 817, 3780, 28050, 9850, 267, 789, 616, 1851, 519, 1034, 2442, 15195, 4620, 3165, 563, 1103, 6864, 926, 4548, 267, 789, 1332, 547, 1063, 476, 272, 543, 476, 273, 6279, 269, 1358, 666, 1332, 3677, 855, 10355, 3476, 982, 476, 277, 6279, 538, 3677, 22253, 269, 1358, 666, 1332, 607, 1279, 607, 476, 1691, 6279, 538, 22253, 543, 519, 3552, 256, 634, 4102, 4154, 8127, 729, 476, 866, 6279, 1279, 543, 936, 476, 273, 6550, 5230, 563, 7212, 5097, 15195, 3165, 267, 789, 616, 9157, 3165, 543, 666, 7639, 538, 29649, 1216, 267, 609, 930, 2348, 1044, 1336, 538, 1216, 609, 513, 24952, 540, 476, 1704, 269, 18323, 2242, 267, 971, 607, 1282, 5614, 267, 5401, 741, 9960, 543, 4212, 2000, 11691, 563, 20112, 8127, 616, 513, 18375, 9742, 540, 15790, 609, 9543, 2623, 269, 1358, 10355, 4339, 835, 1776, 8259, 621, 779, 936, 3908, 1426, 610, 1996, 10728, 3165, 14981, 269, 4634, 1282, 20282, 267, 789, 10355, 4339, 936, 29982, 563, 5445, 723, 1360, 4277, 2623, 282, 1034, 540, 873, 723, 1434, 2614, 8823, 547, 10646, 1063, 5411, 543, 1256, 4431, 9935, 547, 1142, 835, 269, 1358, 666, 11291, 1919, 585, 693, 2547, 476, 274, 3275, 543, 666, 2995, 4778, 267, 5546, 267, 543, 4992, 6306, 269, 1358, 1256, 1685, 15361, 256, 3143, 4898, 789, 616, 29202, 585, 1082, 6864, 541, 1235, 269, 0, 294, 1074, 2998, 568, 835, 540, 519, 1034, 7986, 2371, 538, 4457, 4915, 543, 849, 835, 540, 519, 1034, 6594, 676, 2257, 269, 13028, 519, 3601, 543, 2640, 540, 717, 1074, 2998, 31167, 20899, 563, 763, 717, 1074, 2998, 31167, 20899, 3529, 568, 849, 1634, 607, 631, 4660, 22519, 1515, 543, 568, 519, 1152, 3529, 540, 922, 2249, 267, 519, 717, 1074, 2998, 2297, 267, 602, 814, 711, 1831, 17255, 543, 568, 2808, 513, 3020, 2713, 8093, 2094, 922, 5920, 7389, 1394, 476, 7742, 2929, 1296, 269, 898, 568, 711, 9670, 602, 2757, 4457, 4915, 15109, 621, 519, 3529, 540, 15325, 7868, 717, 1074, 2998, 3529, 568, 5065, 547, 3624, 267, 519, 11114, 25345, 267, 543, 3567, 267, 855, 713, 3529, 568, 1373, 6738, 538, 3013, 543, 2342, 585, 946, 538, 9360, 563, 6524, 2921, 1022, 2898, 2030, 610, 2030, 13402, 9360, 267, 5077, 707, 4387, 1101, 267, 2523, 952, 596, 616, 2921, 1022, 6527, 563, 272, 269, 29313, 4629, 309, 2464, 19154, 302, 7495, 595, 7644, 290, 308, 6369, 3582, 454, 1103, 2757, 4457, 4915, 267, 575, 1074, 2998, 568, 1031, 547, 1930, 1648, 9055, 547, 1114, 1949, 543, 8219, 267, 1519, 519, 14401, 267, 6797, 267, 2634, 267, 543, 9641, 269, 3117, 626, 1836, 267, 3744, 723, 1336, 602, 621, 666, 8920, 622, 1973, 8043, 543, 2087, 1973, 6765, 547, 782, 8031, 538, 519, 1560, 563, 22137, 5342, 609, 11361, 543, 2295, 2068, 2550, 7000, 602, 575, 1074, 2998, 21455, 4679, 1973, 2095, 1813, 547, 606, 2333, 540, 909, 547, 476, 1321, 260, 538, 21883, 2157, 540, 6491, 878, 12547, 267, 513, 7623, 602, 11097, 839, 1973, 8043, 563, 8448, 1382, 2982, 602, 575, 1074, 2998, 814, 519, 2702, 547, 2149, 519, 2295, 267, 543, 2634, 607, 1134, 607, 2149, 1996, 513, 8482, 269, 9717, 519, 1198, 540, 575, 1074, 2998, 593, 10009, 267, 621, 1058, 711, 581, 5916, 609, 5061, 602, 957, 593, 1973, 32378, 563, 273, 269, 29313, 4629, 309, 2464, 645, 6938, 2562, 674, 7419, 290, 3582, 454, 5278, 2090, 1397, 602, 575, 1074, 2998, 1223, 2333, 7214, 2773, 543, 9228, 1134, 5630, 269, 13018, 267, 621, 1223, 2087, 3965, 267, 5834, 267, 543, 3007, 12732, 563, 288, 1353, 11943, 602, 13066, 540, 476, 21878, 8406, 3232, 666, 2569, 4160, 267, 2523, 538, 4587, 1004, 563, 274, 269, 8668, 4959, 645, 2894, 9128, 2975, 24361, 11123, 5990, 661, 312, 2464, 454, 294, 1074, 2998, 949, 2149, 1996, 519, 1646, 540, 29847, 543, 16757, 23979, 267, 799, 568, 519, 3056, 2014, 540, 21901, 538, 4079, 267, 2687, 547, 513, 2689, 540, 2090, 269, 2368, 1004, 666, 1256, 2087, 741, 5075, 563, 763, 1434, 2164, 4767, 538, 519, 2090, 949, 581, 1644, 547, 519, 2799, 1973, 2095, 547, 519, 4064, 563, 275, 269, 27114, 16658, 12487, 16777, 4696, 3722, 4047, 454, 23175, 5995, 568, 835, 540, 519, 1292, 23053, 540, 575, 1074, 2998, 538, 4457, 4915, 269, 898, 2523, 2337, 538, 2665, 540, 14331, 543, 31264, 3361, 676, 7050, 2566, 563, 1103, 713, 2013, 267, 538, 1840, 547, 519, 30057, 1198, 267, 519, 3173, 1448, 856, 602, 519, 2640, 949, 581, 1813, 547, 519, 2962, 540, 519, 15934, 7135, 1459, 538, 575, 1074, 2998, 563, 4002, 519, 14669, 267, 930, 31264, 616, 3361, 676, 519, 7050, 546, 7976, 540, 519, 1973, 8043, 269, 769, 713, 3510, 267, 519, 575, 1074, 2998, 949, 723, 2370, 610, 1100, 1198, 563, 4913, 267, 575, 1074, 2998, 568, 23696, 543, 949, 1256, 581, 15333, 785, 5344, 950, 519, 15677, 568, 3361, 676, 7050, 546, 7976, 540, 519, 1973, 8043, 563, 276, 269, 29313, 4629, 309, 2464, 5990, 12164, 14888, 3582, 5508, 5990, 19419, 303, 7644, 2969, 12088, 13138, 16898, 454, 763, 4550, 13611, 3601, 546, 575, 1074, 2998, 666, 2569, 519, 9525, 540, 519, 28296, 543, 9641, 269, 898, 666, 948, 2061, 543, 2569, 519, 8515, 540, 4230, 327, 15122, 6285, 543, 2569, 23472, 538, 5312, 32583, 563, 277, 269, 681, 3633, 10813, 2464, 5990, 20591, 26376, 293, 18306, 5508, 28217, 300, 2894, 22552, 308, 3201, 20219, 21254, 4629, 10933, 454, 288, 1353, 3370, 538, 519, 4750, 540, 20010, 543, 7388, 29232, 6925, 6920, 602, 621, 6971, 9636, 538, 1762, 1053, 676, 476, 2537, 10065, 4354, 13124, 267, 519, 6454, 7018, 538, 1312, 2168, 543, 5626, 2589, 563, 4415, 5162, 6385, 16042, 267, 519, 20034, 5471, 532, 5210, 666, 540, 339, 550, 1307, 25339, 1256, 519, 1034, 25981, 8516, 7192, 20601, 15606, 689, 13197, 741, 2834, 15904, 6296, 269, 1717, 31972, 288, 2178, 4761, 1062, 568, 707, 1560, 781, 1655, 8878, 1996, 4576, 543, 3968, 269, 18641, 267, 972, 616, 3875, 3536, 2407, 540, 5567, 602, 666, 948, 7794, 713, 4835, 28183, 269, 3371, 1862, 0, 20524, 811, 689, 634, 28315, 12736, 1562, 31000, 454, 296, 3494, 543, 594, 2161, 621, 568, 3020, 14891, 4743, 267, 602, 782, 519, 3800, 540, 519, 6554, 616, 9859, 547, 519, 3483, 540, 1818, 519, 3638, 21950, 543, 519, 4057, 25013, 563, 19365, 8361, 26858, 267, 476, 280, 628, 5518, 540, 519, 2136, 2276, 454, 288, 11344, 1883, 666, 1930, 1022, 7450, 267, 835, 3081, 269, 4014, 267, 1919, 616, 513, 3787, 811, 7294, 982, 602, 269, 2991, 782, 267, 621, 568, 519, 1533, 602, 9777, 919, 269, 1809, 1317, 519, 1533, 568, 18530, 1472, 811, 543, 811, 2724, 267, 519, 811, 835, 1223, 9959, 602, 972, 568, 1945, 2953, 609, 602, 6031, 269, 1717, 267, 1114, 982, 1034, 1131, 8263, 563, 11577, 21631, 827, 2724, 616, 10876, 267, 1100, 2339, 952, 835, 814, 621, 610, 952, 835, 814, 711, 269, 11048, 267, 649, 917, 865, 2370, 827, 2724, 269, 1548, 568, 2724, 286, 4634, 2804, 2257, 3112, 22543, 17802, 2626, 602, 2243, 269, 8616, 267, 1034, 1004, 3858, 602, 2724, 2115, 547, 581, 16883, 267, 513, 4558, 540, 1871, 267, 543, 3622, 7608, 563, 7021, 519, 1296, 267, 519, 3310, 540, 519, 1533, 593, 2724, 2504, 814, 2799, 267, 13148, 1317, 540, 519, 2810, 1297, 540, 4031, 543, 6042, 269, 12846, 267, 1256, 1034, 28288, 540, 3288, 23579, 345, 1922, 18311, 1131, 3858, 602, 972, 814, 547, 581, 513, 1533, 602, 11887, 519, 2804, 5943, 267, 4352, 1034, 1131, 2161, 602, 519, 1699, 1533, 18060, 525, 1259, 1932, 1454, 19951, 563, 2252, 972, 568, 835, 8984, 540, 2724, 547, 5031, 267, 621, 4440, 2306, 519, 4123, 540, 5370, 543, 2533, 811, 3015, 269, 898, 729, 1100, 824, 982, 14088, 8055, 267, 519, 15713, 4651, 540, 9297, 267, 945, 7691, 602, 2724, 568, 606, 1271, 267, 952, 711, 519, 1034, 1271, 267, 8984, 540, 513, 2413, 4346, 609, 513, 1390, 6498, 540, 4074, 269, 8055, 5206, 538, 32100, 540, 8315, 602, 2724, 13087, 713, 950, 519, 4346, 5912, 539, 689, 513, 30550, 4346, 547, 513, 2724, 4346, 269, 2334, 30550, 729, 840, 7721, 11962, 267, 865, 547, 3717, 563, 4913, 267, 10236, 5505, 1131, 10990, 609, 713, 5098, 269, 1358, 8044, 602, 972, 616, 1100, 4191, 602, 1945, 899, 513, 30550, 4346, 11478, 269, 5047, 267, 789, 2161, 267, 519, 1455, 840, 3620, 626, 7595, 4346, 666, 581, 6353, 607, 513, 10516, 4346, 563, 5331, 596, 616, 513, 536, 6033, 267, 543, 707, 7023, 568, 513, 855, 7815, 269, 2290, 1554, 267, 596, 9329, 602, 646, 568, 1989, 3739, 930, 2848, 6545, 543, 707, 14031, 585, 2848, 752, 4679, 269, 589, 1906, 2395, 3516, 267, 596, 4547, 930, 3694, 936, 269, 1411, 3643, 1864, 543, 1376, 513, 6643, 269, 10738, 519, 6643, 267, 596, 2995, 1864, 827, 519, 9329, 540, 519, 2848, 6545, 543, 875, 8949, 789, 1413, 269, 1306, 513, 1267, 267, 519, 855, 7815, 12134, 596, 952, 596, 1616, 930, 267, 607, 646, 814, 7899, 269, 4340, 547, 10236, 5505, 267, 602, 568, 875, 519, 840, 3620, 626, 7595, 7239, 5249, 269, 2290, 5280, 519, 824, 856, 1510, 513, 844, 573, 605, 28943, 563, 3674, 713, 16355, 1324, 519, 3069, 540, 14088, 8055, 286, 2311, 1101, 8289, 267, 835, 11148, 547, 2161, 9811, 269, 5822, 267, 2705, 267, 621, 568, 711, 865, 2653, 269, 17616, 267, 840, 3620, 626, 7595, 7239, 941, 6896, 538, 1507, 2516, 267, 799, 1797, 782, 4123, 4891, 6785, 1142, 824, 2864, 1134, 267, 811, 610, 1447, 269, 634, 2243, 568, 267, 1131, 789, 4123, 13974, 609, 606, 7164, 1268, 888, 2080, 267, 3032, 718, 716, 923, 2501, 883, 1404, 269, 634, 2165, 568, 711, 1134, 1634, 1851, 24192, 267, 607, 621, 1281, 711, 2408, 547, 1004, 945, 1353, 693, 9945, 269, 4495, 2390, 513, 942, 267, 519, 5505, 9400, 1733, 2299, 6069, 519, 2165, 3079, 540, 2797, 9297, 269, 13536, 267, 519, 2165, 729, 5097, 1031, 676, 28288, 540, 519, 966, 1329, 333, 3150, 1153, 540, 9297, 267, 2523, 32400, 13153, 631, 2478, 563, 29272, 718, 716, 923, 6257, 519, 1863, 5872, 540, 1004, 593, 6990, 269, 1955, 14032, 569, 267, 3032, 718, 716, 923, 849, 1797, 1818, 519, 10546, 707, 3659, 269, 2334, 1004, 666, 9096, 513, 1808, 4123, 1510, 6616, 1142, 824, 610, 4687, 519, 1482, 3853, 563, 10190, 267, 14088, 8055, 779, 3069, 2306, 811, 2631, 1317, 606, 10827, 776, 1434, 547, 4123, 2306, 4123, 609, 7164, 1004, 4443, 269, 634, 1249, 602, 972, 729, 1100, 30550, 2486, 538, 3504, 1686, 568, 796, 28695, 269, 2859, 1271, 568, 2436, 606, 4346, 609, 513, 1164, 6498, 540, 4074, 11478, 1354, 2724, 729, 11827, 269, 4340, 547, 519, 1699, 1533, 540, 1702, 267, 519, 2626, 1131, 581, 1100, 563, 5804, 713, 5133, 267, 621, 568, 5667, 584, 19828, 602, 2724, 7153, 607, 606, 10827, 776, 5420, 540, 5385, 547, 5512, 4123, 609, 21046, 543, 2333, 519, 2344, 1464, 540, 5370, 3812, 269, 23207, 10343, 540, 513, 1880, 5420, 540, 5385, 5555, 3361, 519, 15194, 1362, 547, 17551, 621, 519, 1455, 9304, 563, 4263, 713, 1448, 267, 519, 3310, 540, 519, 1533, 593, 2724, 3323, 267, 607, 621, 2141, 6836, 547, 18846, 519, 3652, 538, 922, 3870, 269, 14608, 14688, 267, 835, 1058, 1039, 519, 1686, 540, 2724, 568, 2047, 5532, 547, 519, 1686, 540, 5491, 269, 634, 8106, 12666, 2856, 602, 12029, 616, 1710, 2331, 609, 9806, 2760, 11478, 269, 8616, 267, 835, 3112, 14962, 602, 1256, 1394, 1287, 267, 519, 14547, 630, 15927, 1870, 264, 543, 519, 15194, 1362, 9411, 513, 1623, 6798, 2670, 547, 1106, 519, 2804, 1062, 607, 789, 16545, 563, 7021, 602, 942, 267, 799, 16768, 585, 1896, 5756, 267, 3486, 4123, 8057, 15186, 269, 23985, 602, 649, 917, 896, 519, 2165, 14051, 19951, 269, 634, 1101, 4463, 540, 14051, 729, 519, 2038, 476, 736, 628, 2540, 2394, 621, 8694, 23589, 569, 609, 519, 4098, 540, 519, 1101, 1158, 2112, 563, 763, 2112, 4957, 3388, 269, 5502, 540, 5191, 543, 22371, 267, 32659, 543, 4027, 1143, 21256, 267, 799, 6368, 8694, 538, 1776, 1158, 2112, 269, 2991, 519, 2034, 1158 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1489, 707, 4661, 269, 1306, 596, 25666, 707, 5098, 267, 2327, 602, 621, 568, 1808, 267, 5059, 267, 543, 3181, 23534, 267, 18136, 2565, 6514, 543, 4901, 269, 589, 1134, 2275, 2761, 539, 5098, 3948, 711, 1152, 5036, 519, 4287, 585, 707, 1557, 538, 6138, 855, 849, 23933, 519, 5748, 585, 513, 8903, 543, 17396, 10952, 11407, 563, 14611, 10610, 8791, 454, 3721, 476, 272, 281, 15043, 3213, 6254, 24225, 338, 454, 1103, 519, 1292, 1560, 540, 707, 6138, 1557, 3898, 267, 621, 568, 1898, 547, 1020, 17396, 9433, 602, 1163, 895, 593, 707, 3844, 5098, 269, 3962, 5037, 1058, 31721, 1472, 513, 2582, 1292, 2856, 610, 4661, 267, 5693, 4843, 693, 519, 4098, 540, 519, 5037, 269, 1306, 596, 5490, 883, 707, 2079, 267, 1683, 5885, 2963, 267, 1806, 267, 543, 9266, 7744, 547, 7794, 707, 2798, 269, 3550, 602, 1142, 5037, 15387, 513, 5812, 1445, 543, 8309, 547, 519, 2949, 2095, 540, 707, 1557, 563, 19602, 267, 1058, 596, 2154, 5583, 593, 6220, 513, 2013, 1353, 883, 707, 1557, 267, 938, 3102, 3391, 593, 875, 547, 2328, 513, 2013, 1353, 666, 581, 513, 3407, 4199, 563, 3721, 476, 273, 281, 7743, 2422, 540, 3690, 1431, 454, 2414, 2226, 513, 15774, 543, 9266, 2095, 1063, 9433, 543, 6810, 267, 2308, 1697, 13289, 538, 707, 1557, 269, 3690, 1431, 957, 607, 13123, 602, 1921, 1114, 2093, 267, 7440, 267, 543, 2035, 267, 13057, 3988, 998, 519, 11144, 540, 707, 1557, 269, 2422, 27139, 1913, 543, 2453, 267, 971, 607, 1412, 3467, 1478, 10086, 1412, 514, 4334, 10086, 1412, 325, 1887, 3467, 10086, 543, 1412, 517, 519, 824, 1688, 10086, 547, 3095, 707, 2093, 14429, 1947, 269, 1452, 13289, 948, 3988, 1174, 519, 3347, 1063, 1114, 2694, 540, 707, 1557, 267, 17923, 519, 936, 31186, 2239, 540, 707, 10952, 14374, 563, 3721, 476, 274, 281, 23889, 769, 6874, 2169, 13022, 725, 454, 763, 1985, 2629, 1900, 538, 1620, 875, 547, 2328, 513, 6138, 1557, 7291, 621, 547, 16900, 11753, 538, 17856, 14327, 547, 11760, 519, 2959, 540, 707, 2093, 543, 2963, 269, 1879, 26159, 1344, 689, 10952, 5931, 610, 5007, 2959, 267, 946, 538, 17856, 14327, 547, 5815, 519, 2278, 781, 2012, 267, 1032, 540, 8313, 267, 543, 4143, 2985, 2338, 269, 901, 711, 1152, 3947, 1697, 5491, 547, 519, 3312, 4589, 855, 849, 10597, 519, 17258, 540, 707, 7440, 563, 3721, 476, 272, 281, 22365, 1721, 1424, 519, 6301, 21261, 454, 1103, 519, 3932, 540, 707, 6138, 1557, 2497, 267, 621, 568, 2629, 547, 12927, 519, 1292, 4661, 610, 3844, 5098, 596, 4843, 538, 519, 4367, 269, 5681, 3405, 1125, 519, 1883, 2798, 543, 2963, 602, 1489, 707, 2990, 267, 10771, 741, 4644, 538, 6935, 547, 707, 10952, 14374, 269, 901, 1900, 2337, 3988, 5431, 519, 25843, 543, 4222, 540, 707, 4661, 267, 6028, 513, 9434, 12705, 593, 741, 1620, 540, 519, 1888, 563, 3721, 476, 273, 281, 3680, 532, 1715, 6176, 454, 2026, 596, 1451, 875, 547, 2328, 513, 3932, 538, 513, 6138, 1557, 267, 2327, 596, 2057, 10962, 1007, 1344, 610, 2093, 602, 941, 711, 5892, 5941, 538, 519, 1292, 1560, 269, 634, 3932, 568, 711, 519, 1747, 547, 1459, 3209, 2035, 610, 7440, 282, 3079, 267, 621, 5713, 607, 513, 3803, 8086, 593, 519, 4540, 1543, 269, 1635, 1201, 20995, 689, 10962, 1007, 2609, 267, 596, 2226, 519, 8699, 540, 707, 1557, 543, 4396, 1518, 519, 1620, 540, 707, 3844, 5098, 563, 26705, 1154, 543, 27375, 13910, 454, 3721, 476, 272, 281, 17090, 267, 14905, 267, 9628, 267, 610, 4033, 26505, 454, 2691, 11249, 707, 6138, 1957, 267, 835, 2629, 1900, 568, 547, 3442, 519, 3617, 11239, 2511, 267, 971, 607, 17090, 267, 14905, 267, 9628, 267, 610, 1022, 824, 9138, 676, 707, 14357, 269, 3962, 2511, 814, 922, 2189, 4808, 585, 19696, 2959, 267, 11249, 26333, 267, 538, 17856, 14327, 267, 543, 519, 15853, 610, 4704, 1592, 269, 1635, 20170, 547, 519, 1808, 2511, 9846, 2429, 707, 1557, 267, 596, 2327, 7833, 640, 543, 6542, 707, 3007, 547, 1469, 538, 4081, 1603, 563, 3721, 476, 273, 281, 1520, 17518, 547, 6478, 7799, 1080, 543, 12540, 1231, 454, 2026, 596, 5965, 707, 2852, 6138, 1557, 3898, 267, 621, 568, 1898, 547, 15666, 547, 1022, 2262, 7182, 610, 14345, 4170, 1305, 676, 707, 14357, 610, 9872, 269, 6478, 7182, 948, 596, 1459, 707, 2093, 13801, 569, 543, 2327, 602, 707, 1557, 3788, 5059, 543, 593, 1448, 269, 3958, 267, 1739, 9138, 19114, 267, 971, 607, 835, 20878, 19114, 593, 782, 5011, 267, 15387, 519, 31824, 543, 15312, 540, 707, 1557, 267, 3246, 513, 3318, 6881, 602, 20383, 609, 4081, 4441, 563, 5649, 344, 547, 11096, 2684, 1125, 6145, 513, 1160, 888, 24576, 707, 2247, 7721, 335, 21505, 267, 2219, 4538, 6138, 1957, 1631, 543, 1577, 519, 7326, 2095, 5196, 519, 3817, 2336, 763, 1391, 547, 1265, 3501, 6138, 1557, 3584, 602, 13489, 7214, 7279, 543, 5337, 924, 13730, 11407, 666, 581, 1312, 13858, 543, 4101, 269, 1809, 4250, 711, 282, 649, 616, 1934, 547, 3391, 596, 998, 519, 1184, 543, 1683, 596, 609, 5363, 4388, 547, 2824, 513, 1888, 602, 20383, 609, 707, 4690, 543, 31168, 6209, 10952, 3408, 269, 5047, 267, 952, 596, 2811, 3168, 585, 513, 10375, 3070, 547, 1931, 1557, 1957, 593, 707, 6074, 1888, 267, 649, 4312, 3893, 596, 4988, 2336, 16521, 31999, 543, 12056, 11762, 454, 16100, 585, 6138, 1557, 1888, 2093, 602, 616, 4143, 547, 707, 1576, 610, 7084, 4808, 269, 6333, 5396, 602, 5447, 609, 1699, 10952, 9840, 610, 2263, 15851, 10952, 28780, 269, 12056, 3584, 786, 711, 1152, 7001, 707, 1719, 855, 849, 25407, 707, 3988, 267, 18136, 873, 547, 5490, 883, 10952, 3408, 609, 15131, 563, 22860, 2763, 9608, 9314, 338, 543, 11310, 454, 8269, 937, 593, 707, 2123, 4690, 543, 4540, 1702, 1369, 519, 2361, 540, 6138, 269, 8838, 532, 585, 513, 1888, 602, 22992, 8395, 1132, 596, 786, 1118, 519, 1382, 543, 1603, 1184, 811, 11791, 543, 14785, 269, 30855, 707, 4540, 1702, 666, 849, 2285, 596, 513, 2212, 1376, 538, 26762, 1950, 2035, 543, 7440, 1644, 547, 519, 6074, 1888, 563, 28444, 675, 519, 2997, 22355, 540, 7647, 8765, 8249, 454, 6524, 3803, 1944, 6138, 3584, 585, 1557, 267, 13182, 519, 8244, 540, 14046, 2200, 543, 3332, 1644, 547, 873, 269, 3550, 602, 972, 616, 2614, 18019, 2959, 267, 971, 607, 4081, 13746, 267, 2835, 267, 543, 10952, 5931, 267, 547, 1489, 707, 1382, 543, 2079, 269, 7457, 547, 2298, 2200, 568, 2629, 585, 3384, 513, 1134, 26455, 543, 1134, 23418, 9285, 10952, 4661, 563, 4942, 3342, 4451, 4828, 13445, 14313, 454, 4131, 721, 1631, 5490, 883, 713, 7706, 540, 10952, 2093, 267, 1141, 519, 1391, 585, 7326, 543, 5168, 6487, 1100, 23451, 269, 3245, 15851, 2055, 827, 519, 2470, 540, 4641, 543, 519, 6228, 540, 2696, 547, 4207, 9840, 593, 7881, 267, 1514, 5126, 267, 543, 519, 2247, 23073, 1966, 267, 891, 2219, 4538, 3584, 616, 2386, 547, 5337, 924, 519, 26428, 540, 10952, 14374, 1369, 596, 563, 4517, 3314, 267, 950, 519, 10848, 540, 4081, 1603, 8451, 267, 543, 596, 3343, 513, 7649, 585, 2165, 1957, 1603, 948, 267, 1810, 1405, 5855, 256, 3776, 6131, 2319, 568, 1934, 547, 6443, 596, 543, 1683, 1489, 1169, 1900, 540, 519, 1259, 563, 22117, 11429, 13898, 4828, 11762, 454, 763, 19078, 15557, 21537, 2135, 281, 21344, 26874, 18880, 543, 31044, 11773, 563, 22117, 11429, 538, 519, 7913, 6520, 281, 19484, 519, 12694, 540, 5303, 543, 5274, 17583, 563, 9558, 845, 1049, 15557, 281, 6184, 25378, 7827, 543, 12618, 538, 31044, 9177, 563, 306, 969, 656, 15557, 281, 634, 5295, 540, 8682, 16531, 538, 31327, 30581, 547, 11773, 563, 22117, 532, 609, 16508, 11106, 281, 674, 29183, 17607, 543, 27919, 538, 15557, 32018, 563, 8505, 5782, 545, 15557, 281, 16871, 23977, 1676, 1464, 543, 2637, 340, 514, 8864, 538, 15557, 13756, 563, 291, 1751, 543, 29621, 538, 15557, 281, 674, 29183, 606, 32213, 31071, 585, 11773, 563, 22117, 532, 3414, 19822, 281, 11150, 543, 16497, 689, 8466, 543, 12634, 24285, 563, 20685, 673, 12694, 538, 15557, 281, 19484, 26874, 667, 10308, 5733, 609, 6715, 31772, 563, 22117, 11429, 543, 4317, 26930, 281, 26472, 20885, 543, 4317, 8177, 538, 20871, 563, 4942, 3342, 4451, 4828, 11762, 15979, 454, 20685, 673, 667, 10308, 5733, 538, 14464, 11106, 281, 634, 26874, 20480, 540, 3642, 781, 17423, 5336, 1136, 563, 25219, 4106, 31791, 5288, 269, 1546, 26585, 281, 589, 22414, 5811, 540, 19078, 28636, 563, 20245, 15979, 281, 634, 19078, 3117, 573, 3130, 540, 5274, 640, 781, 8177, 593, 519, 14136, 563, 300, 7394, 26930, 538, 513, 3353, 10999, 5917, 3496, 2622, 281, 18601, 19078, 12694, 563, 20685, 673, 20480, 540, 18726, 7177, 281, 21344, 18776, 543, 26874, 21940, 2456, 563, 763, 15979, 540, 10960, 7126, 281, 24167, 5274, 640, 781, 744, 4565, 580, 725, 547, 6348, 6953, 3861, 2142, 902, 563, 20685, 923, 543, 5303, 281, 10289, 519, 19078, 31664, 540, 5917, 3496, 16370, 563, 20685, 673, 15557, 538, 23654, 26291, 281, 634, 10020, 540, 15979, 538, 6355, 13756, 563, 20685, 673, 4039, 520, 13659, 5288, 269, 19078, 8629, 13659, 281, 13891, 908, 17629, 26874, 18266, 338, 563, 763, 570, 1503, 2917, 9046, 281, 589, 11096, 28441, 22410, 540, 26874, 17423, 5336, 1136, 563, 26855, 2163, 894, 13898, 4828, 11762, 454, 3674, 5131, 4024, 606, 7629, 4288, 286, 10289, 519, 13891, 622, 1063, 10318, 24452, 543, 15213, 540, 14893, 563, 1432, 568, 519, 9650, 5174, 1328, 9046, 286, 15766, 908, 519, 7186, 540, 3117, 4109, 1145, 543, 922, 17583, 547, 519, 8447, 2622, 563, 9989, 519, 1401, 14571, 540, 5345, 559, 7420, 2696, 781, 15345, 30876, 582, 775, 286, 22718, 519, 9046, 540, 5345, 559, 543, 922, 20480, 585, 634, 1143, 563, 19675, 13317, 15722, 7321, 581, 589, 2513, 1639, 286, 589, 26874, 769, 11431, 883, 3557, 268, 3849, 3439, 1229, 12280, 6755, 531, 1399, 563, 29613, 16117, 5288, 269, 30527, 281, 1548, 568, 519, 6936, 7186, 540, 18712, 888, 3674, 661, 30984, 19078, 286, 24167, 519, 26874, 543, 13751, 13216, 885, 540, 2667, 13554, 2672, 8336, 563, 4692, 1284, 22427, 569, 5700, 32506, 286, 1323, 9210, 626, 655, 1670, 16709, 540, 28024, 696, 6291, 563, 6701, 1284, 13786, 1043, 585, 3642, 286, 5548, 1324, 883, 519, 26874, 26930, 540, 14464, 11106, 563, 4692, 1473, 10631, 633, 25705, 581, 3807, 1881, 286, 30487, 519, 4406, 7190, 540, 1473, 25934, 538, 13898, 540, 3163, 563, 19675, 10960, 13281, 581, 14190, 539, 286, 1284, 662, 532, 519, 15979, 540, 15331, 566, 593, 6348, 6953, 3861, 2142, 902, 563, 1103, 519, 9159, 7706, 540, 6138, 267, 649, 4312, 8268, 519, 17909, 540, 2219, 267, 8508, 15851, 28780, 543, 2413, 9840, 7567, 269, 3245, 19586, 532, 519, 679, 7950, 540, 1863, 786, 547, 11432, 1359, 519, 5683, 844, 663, 2456, 540, 938, 14027, 1158, 267, 649, 4312, 24389, 593, 606, 7214, 7045, 899, 1100, 824, 267, 782, 1369, 519, 5943, 540, 6138, 12819, 1557, 3898, 269, 1656, 267, 952, 596, 1265, 3054, 538, 991, 540, 6351, 6998, 2048, 15367, 666, 2328, 1250, 6138, 1957, 286, 8730, 649, 616, 1934, 547, 22937, 938, 6791, 267, 4180, 707, 2093, 19542, 29116, 538, 519, 13795, 540, 10952, 11407, 563, 3383, 267, 2436, 596, 1265, 3054, 11432, 1359, 519, 5730, 10952, 10096, 538, 1272, 610, 15819, 519, 1360, 2470, 540, 4641, 267, 3314, 547, 1832, 15819, 267, 1832, 3695, 267, 543, 1832, 5275, 519, 7096, 4267, 602, 24098, 538, 519, 3304, 9317, 1158, 540, 6138, 269, 0, 8072, 7775, 628, 31517, 685, 5288, 2048, 7775, 628, 30249, 14037, 685, 281, 1548, 779, 519, 16338, 286, 2311, 1101, 16145, 267, 519, 3017, 568, 6654, 2443, 519, 1913, 616, 25250, 8335, 267, 865, 835, 540, 873, 1590, 581, 4636, 269, 1717, 267, 602, 568, 711, 7357, 519, 2013, 269, 2290, 2101, 2460, 540, 1893, 568, 875, 621, 2242, 936, 942, 267, 799, 596, 3580, 1224, 811, 827, 2630, 563, 1103, 513, 31657, 286, 3371, 779, 513, 2110, 12744, 540, 1018, 596, 3580, 1451, 912, 2026, 5018, 267, 519, 2653, 543, 6654, 3017, 1934, 568, 519, 7160, 540, 602, 12357, 968, 320, 892, 538, 519, 1647, 540, 2048, 7775, 628, 30249, 14037, 19028, 3719, 1946, 568, 621, 972, 286, 1772, 621, 1175, 513, 1462, 334, 267, 610, 568, 621, 3483, 995, 888, 763, 5168, 568, 267, 2048, 7775, 628, 30249, 14037, 685, 568, 267, 538, 1249, 267, 2953, 543, 568, 519, 10259, 1034, 4122, 1031, 538, 3703, 2296, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6260, 4165, 338, 454, 262, 16524, 267, 8465, 267, 1350, 7867, 532, 17895, 8163, 1862, 7055, 289, 2465, 715, 2117, 338, 1677, 9524, 10684, 1412, 1805, 902, 7055, 31415, 830, 585, 513, 10682, 540, 1312, 2142, 327, 1066, 543, 1010, 16702, 614, 748, 5521, 1862, 7055, 274, 291, 7179, 539, 1975, 17202, 674, 2391, 10724, 454, 262, 20112, 15956, 1996, 4544, 267, 14912, 13355, 267, 12964, 3952, 909, 2807, 7055, 21080, 24650, 661, 6363, 534, 2353, 7232, 10431, 1773, 2033, 3767, 27973, 454, 296, 7948, 1405, 3494, 621, 267, 2901, 563, 21659, 582, 4210, 15767, 13724, 9177, 1635, 1280, 1326, 1154, 454, 262, 300, 344, 2247, 729, 4904, 547, 519, 24590, 1448, 1862, 7055, 27839, 15299, 589, 2779, 8493, 324, 8950, 4053, 6509, 454, 262, 305, 18099, 2893, 693, 519, 13691, 267, 2215, 267, 11375, 3861, 267, 14461, 267, 18618, 14485, 5059, 12341, 1055, 883, 519, 20224, 1862, 7055, 306, 4461, 2426, 781, 3690, 8001, 18224, 7053, 1306, 8262, 1306, 670, 294, 28243, 7055, 11039, 338, 849, 23125, 856, 602, 476, 1626, 343, 280, 568, 519, 3337, 547, 723, 563, 301, 534, 1774, 577, 13242, 1677, 8073, 11426, 4826, 8606, 1562, 769, 25157, 454, 262, 10144, 3323, 856, 2695, 324, 600, 880, 827, 7581, 1513, 30929, 1862, 7055, 1607, 31584, 4210, 867, 24490, 281, 962, 2532, 11867, 17312, 18480, 5741, 454, 31415, 515, 6293, 540, 929, 3359, 543, 3077, 1223, 711, 1589, 267, 1745, 13657, 610, 1121, 16017, 269, 1656, 621, 5645, 513, 1483, 16405, 25692, 1320, 2106, 322, 28239, 16644, 4474, 23203, 762, 27620, 454, 262, 309, 324, 787, 9900, 267, 3834, 2254, 1227, 267, 519, 5907, 20512, 555, 13681, 5523, 538, 519, 28882, 10981, 525, 540, 1010, 2634, 25692, 1432, 3163, 11470, 23512, 2231, 6576, 781, 1715, 31584, 888, 305, 11701, 2257, 5708, 11655, 1185, 741, 1378, 4943, 725, 563, 23409, 306, 841, 9891, 590, 841, 1546, 17558, 454, 31415, 20130, 729, 519, 1101, 942, 1022, 3859, 586, 25638, 1185, 2479, 25189, 621, 1862, 7055, 29670, 22493, 3115, 4202, 898, 1345, 454, 16631, 5708, 11655, 941, 2016, 713, 2856, 538, 476, 4198, 272, 563, 5415, 24700, 538, 519, 5240, 12267, 454, 5415, 15332, 3353, 334, 767, 4445, 2257, 3377, 2984, 0, 300, 20235, 31788, 16356, 6818, 256, 2487, 8289, 902, 910, 596, 32353, 267, 631, 20235, 31788, 16356, 568, 24903, 519, 1034, 1202, 2033, 3364, 602, 814, 2479, 5030, 1107, 519, 803, 6549, 31788, 16356, 1185, 782, 519, 24598, 1218, 28969, 2934, 540, 519, 3339, 1390, 269, 631, 20235, 31788, 8289, 532, 4534, 1007, 1990, 9973, 4685, 13946, 910, 596, 32353, 267, 2776, 18856, 803, 6549, 617, 976, 616, 5156, 547, 581, 17255, 267, 2705, 267, 607, 609, 824, 834, 2169, 3307, 257, 4262, 2831, 602, 723, 2094, 5186, 5529, 909, 267, 930, 803, 6549, 617, 976, 3100, 547, 723, 269, 6496, 803, 6549, 31788, 1869, 2661, 29845, 6496, 803, 6549, 31788, 1869, 2661, 286, 649, 786, 4440, 2760, 917, 585, 2386, 1946, 803, 6549, 31788, 2968, 17255, 269, 855, 649, 666, 4440, 581, 18507, 602, 621, 1705, 281, 513, 476, 7367, 20356, 630, 1626, 31475, 516, 563, 300, 20235, 31788, 281, 519, 20599, 16356, 1923, 16356, 3018, 1923, 6602, 267, 1744, 1046, 3018, 803, 6549, 31788, 281, 519, 20599, 16356, 269, 803, 6549, 31788, 729, 513, 20599, 22300, 16356, 602, 8057, 936, 476, 2568, 3952, 538, 3259, 543, 10480, 593, 16385, 269, 9684, 22556, 621, 781, 17255, 269, 29431, 1168, 5893, 6589, 540, 803, 6549, 31788, 8289, 532, 9625, 5335, 760, 4215, 267, 910, 534, 1278, 8289, 532, 3576, 1747, 538, 476, 4350, 274, 267, 1586, 1055, 519, 5032, 540, 678, 836, 10098, 320, 269, 20829, 519, 521, 4732, 269, 22200, 14241, 267, 15454, 543, 1010, 5067, 561, 648, 333, 941, 13059, 547, 7254, 21473, 322, 8646, 1310, 513, 269, 631, 20235, 31788, 910, 28957, 267, 519, 1863, 22605, 267, 631, 20235, 31788, 267, 834, 1729, 1054, 257, 1765, 3369, 846, 6565, 568, 5212, 2632, 19985, 607, 2938, 538, 519, 1024, 1438, 2013, 1106, 18841, 377, 478, 29857, 32703, 14832, 16483, 14267, 19084, 267, 5212, 6759, 660, 657, 264, 568, 606, 17255, 2249, 540, 16356, 602, 5030, 5111, 476, 1428, 269, 280, 563, 27409, 8554, 2593, 281, 803, 6549, 31788, 281, 519, 20599, 16356, 2729, 267, 6496, 513, 20599, 803, 6549, 31788, 16356, 3957, 1412, 11357, 3405, 710, 262, 21786, 331, 519, 5836, 781, 17909, 27085, 631, 20235, 31788, 910, 6939, 573, 530, 5942, 267, 595, 1105, 541, 31788, 803, 6549, 31788, 568, 513, 5458, 16356, 2147, 547, 513, 1390, 3043, 16356, 269, 2713, 689, 476, 2764, 547, 476, 272, 269, 276, 2929, 1296, 3516, 267, 1282, 519, 524, 523, 32223, 5736, 267, 713, 16356, 568, 1631, 1634, 547, 519, 269, 631, 20235, 31788, 1223, 713, 9649, 16356, 1869, 581, 9800, 267, 631, 20235, 31788, 267, 513, 22300, 16356, 602, 1223, 3914, 936, 476, 2568, 1111, 729, 519, 6207, 30085, 23246, 538, 621, 781, 1554, 269, 855, 1223, 713, 20599, 16356, 1869, 581, 9800, 2221, 27085, 0, 293, 6150, 896, 281, 15213, 267, 3778, 267, 9012, 4437, 553, 267, 634, 2136, 2276, 1923, 16193, 281, 3778, 267, 8474, 267, 25578, 543, 645, 1513, 267, 29062, 888, 5475, 519, 23487, 995, 22457, 15294, 619, 540, 8370, 3109, 2818, 540, 2506, 28609, 3979, 6396, 626, 9210, 4593, 29914, 5783, 538, 4077, 31760, 267, 3162, 10491, 267, 930, 4759, 540, 519, 2923, 1572, 3007, 547, 519, 20752, 6370, 9206, 593, 519, 3162, 10491, 7167, 20738, 12406, 267, 543, 519, 2923, 729, 1055, 543, 4881, 269, 1133, 762, 547, 18113, 2769, 741, 10982, 599, 267, 799, 594, 8263, 2443, 789, 4682, 585, 519, 9206, 563, 763, 9206, 1705, 711, 8038, 936, 519, 1698, 20738, 267, 855, 936, 519, 20752, 18189, 593, 519, 7167, 20738, 12406, 269, 634, 6643, 3533, 6410, 689, 519, 8370, 23689, 5939, 2818, 547, 519, 9206, 607, 513, 2048, 32188, 540, 10168, 10200, 17135, 21208, 7288, 670, 1446, 344, 16425, 1767, 789, 1131, 1491, 1524, 519, 9206, 547, 1439, 1022, 25213, 689, 922, 4527, 269, 898, 1185, 1044, 5116, 936, 519, 20752, 18189, 676, 513, 19391, 520, 17294, 543, 513, 19391, 520, 23328, 693, 519, 942, 540, 519, 6406, 2782, 2578, 27812, 543, 1131, 1491, 513, 476, 273, 270, 274, 8917, 540, 519, 23328, 547, 4894, 563, 6546, 7012, 1406, 2614, 585, 930, 2818, 540, 519, 2923, 267, 945, 3459, 14957, 585, 519, 8851, 540, 20752, 17514, 10876, 269, 4825, 841, 619, 1767, 789, 1131, 1100, 3476, 6133, 519, 9206, 269, 3973, 789, 4682, 585, 519, 24112, 540, 20752, 12325, 269, 3933, 3701, 941, 1219, 3166, 267, 4408, 540, 10754, 543, 10034, 3957, 1310, 20752, 12325, 1058, 581, 4957, 267, 543, 930, 6491, 342, 527, 689, 23711, 1256, 6700, 602, 519, 16962, 17341, 538, 6115, 667, 5861, 269, 1058, 581, 14324, 1524, 1317, 16962, 11262, 10437, 269, 5556, 17894, 256, 1411, 723, 7307, 547, 6474, 519, 12485, 540, 4959, 3041, 543, 519, 13669, 28063, 563, 763, 6406, 2782, 568, 936, 269, 634, 3162, 4503, 543, 1147, 16781, 1229, 14955, 3431, 269, 3778, 568, 513, 2594, 540, 519, 2250, 267, 1919, 602, 2965, 5949, 269, 634, 6406, 2782, 267, 630, 763, 2782, 9737, 519, 2276, 1070, 729, 513, 23487, 995, 2112, 267, 519, 1034, 14686, 630, 476, 30663, 267, 1822, 4666, 264, 538, 938, 1686, 269, 898, 729, 513, 2112, 936, 519, 5742, 543, 519, 3162, 779, 1318, 547, 694, 1027, 324, 269, 898, 729, 513, 2112, 936, 519, 9872, 540, 8474, 2443, 855, 547, 519, 3162, 621, 729, 513, 2112, 936, 741, 3003, 4346, 799, 31030, 593, 6721, 10412, 585, 2296, 19135, 14200, 269, 590, 4869, 344, 2600, 540, 1977, 18666, 693, 519, 942, 941, 10412, 585, 519, 14200, 540, 6628, 2443, 543, 930, 476, 24496, 267, 1822, 4600, 538, 6628, 941, 6964, 538, 519, 19135, 2872, 563, 306, 18561, 729, 513, 1390, 9409, 267, 855, 621, 729, 519, 2343, 782, 936, 519, 1158, 267, 543, 1034, 1004, 1175, 7608, 621, 607, 519, 1259, 1919, 941, 269, 634, 3703, 7166, 519, 10553, 4123, 1063, 4000, 543, 519, 1007, 1158, 267, 543, 649, 4553, 9290, 269, 898, 568, 6059, 602, 827, 476, 6434, 2600, 540, 519, 1098, 520, 23007, 10553, 4123, 4682, 547, 519, 4006, 10195, 543, 3162, 3013, 267, 543, 1152, 827, 476, 1321, 2600, 3357, 547, 3013, 630, 704, 9504, 264, 2549, 594, 23294, 1944, 585, 8474, 286, 15742, 569, 711, 269, 898, 814, 3144, 513, 1279, 942, 547, 1205, 936, 519, 6406, 2782, 267, 513, 1279, 942, 585, 519, 8828, 4346, 547, 9156, 269, 543, 513, 1279, 942, 585, 17051, 547, 1831, 2407, 543, 12595, 5171, 538, 1169, 10126, 540, 2486, 269, 898, 779, 782, 1175, 513, 2603, 811, 7294, 982, 1346, 945, 616, 2695, 1177, 6362, 827, 519, 12572, 10168, 7915, 538, 1022, 4159, 540, 519, 25578, 543, 645, 1513, 269, 3367, 930, 1686, 269, 7490, 2336, 293, 6150, 896, 281, 19391, 520, 4856, 8306, 267, 14579, 8889, 267, 3778, 267, 9459, 267, 5771, 267, 5840, 267, 9012, 4437, 553, 267, 5664, 5101, 267, 2817, 8232, 267, 15348, 267, 18776, 13659, 267, 634, 2136, 2276, 1923, 16193, 281, 15525, 781, 20646, 553, 625, 267, 15525, 781, 17563, 20958, 267, 634, 14655, 20958, 454, 763, 1715, 3840, 8648, 2212, 1467, 10645, 968, 296, 3757, 3397, 4181, 547, 26346, 17437, 20895, 269, 634, 6115, 5403, 4553, 909, 609, 281, 968, 296, 3757, 23216, 547, 6046, 9993, 538, 5943, 4308, 609, 1158, 7060, 1848, 2353, 554, 690, 31683, 269, 634, 968, 18856, 6876, 892, 602, 5518, 15525, 568, 3843, 18418, 2299, 547, 6133, 568, 6986, 14810, 269, 1703, 814, 1044, 1100, 6876, 593, 1022, 540, 519, 4909, 2152, 602, 723, 3366, 547, 3486, 6161, 827, 9459, 779, 3810, 5728, 6046, 2238, 543, 723, 3366, 547, 476, 1724, 1296, 540, 20320, 19876, 338, 543, 12909, 543, 3670, 16601, 21368, 676, 519, 2136, 8315, 8232, 7027, 563, 1432, 649, 723, 568, 513, 19619, 540, 30137, 6898, 676, 519, 1028, 9285, 5171, 538, 519, 5767, 5180, 540, 12909, 538, 16848, 543, 606, 16053, 21120, 269, 5272, 7853, 568, 3843, 547, 1118, 2318, 6898, 602, 8095, 1919, 538, 513, 14909, 6073, 1510, 23630, 519, 6302, 540, 4641, 269, 1924, 972, 729, 513, 476, 29720, 2262, 4745, 3948, 538, 2296, 676, 22504, 14579, 10579, 17124, 808, 822, 611, 2098, 541, 604, 543, 519, 9167, 4914, 3609, 6205, 12658, 518, 3821, 631, 690, 615, 7236, 945, 3366, 519, 865, 10777, 623, 276, 266, 272, 1895, 540, 6082, 1519, 519, 2475, 538, 519, 16395, 563, 10190, 972, 729, 519, 4013, 22504, 1257, 538, 476, 24423, 14655, 1913, 267, 543, 519, 1257, 689, 2475, 14199, 540, 3557, 3627, 23715, 787, 945, 814, 2322, 856, 513, 476, 272, 267, 28760, 2262, 3561, 799, 6411, 607, 952, 782, 568, 513, 2944, 4308, 269, 634, 1614, 1114, 6054, 711, 1152, 798, 711, 3858, 267, 789, 616, 18367, 569, 30137, 269, 634, 631, 690, 615, 7236, 543, 3943, 5931, 616, 22394, 543, 711, 1256, 1434, 8095, 563, 763, 14655, 1257, 5402, 30417, 1022, 1913, 602, 1522, 538, 1022, 1259, 2285, 519, 12705, 602, 4376, 814, 1044, 8815, 676, 519, 22504, 2427, 610, 602, 519, 9099, 14081, 814, 6035, 1022, 598, 947, 687, 31049, 269, 634, 22504, 1257, 568, 31002, 607, 513, 2046, 3948, 1152, 269, 898, 10741, 1202, 12371, 602, 621, 814, 1100, 968, 29729, 2460, 892, 543, 538, 5497, 1152, 607, 513, 968, 7666, 573, 5202, 585, 26004, 2104, 934, 3581, 1848, 7831, 4989, 789, 941, 9575, 32533, 593, 519, 2179, 540, 3282, 789, 941, 4847, 547, 13143, 896, 519, 17159, 24476, 563, 763, 1977, 1257, 5910, 1742, 547, 11963, 856, 968, 12407, 4394, 585, 513, 17434, 18043, 4643, 540, 11059, 892, 543, 6811, 602, 1883, 2798, 723, 1044, 968, 20657, 3660, 892, 2443, 543, 1018, 3788, 547, 581, 2944, 568, 547, 960, 856, 519, 968, 574, 921, 7695, 3877, 1848, 634, 772, 2529, 269, 11437, 6811, 602, 9459, 814, 8815, 547, 1978, 27047, 6493, 585, 1383, 4227, 519, 1297, 540, 25916, 525, 689, 476, 866, 267, 1822, 547, 476, 277, 267, 4335, 563, 763, 22504, 1257, 267, 2705, 267, 3081, 602, 9459, 968, 3333, 718, 581, 2111, 547, 2560, 892, 610, 968, 336, 14575, 737, 327, 1695, 611, 536, 3716, 892, 538, 674, 1513, 328, 547, 798, 971, 513, 3364, 269, 634, 1482, 568, 3020, 827, 23918, 538, 16110, 578, 269, 634, 4892, 2161, 9459, 814, 8815, 547, 3247, 23918, 972, 585, 476, 1428, 1296, 269, 634, 22504, 1257, 267, 2705, 267, 4016, 547, 713, 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 ]
[ 540, 519, 1858, 6109, 779, 2104, 6662, 2994, 267, 602, 2882, 13059, 20691, 547, 519, 7599, 563, 892, 594, 1616, 547, 9684, 519, 21011, 5108, 585, 4509, 891, 5439, 865, 602, 938, 5108, 1522, 723, 713, 4960, 2223, 7150, 20710, 523, 560, 710, 563, 22498, 8359, 476, 280, 2516, 547, 4983, 519, 5439, 267, 799, 941, 6394, 2429, 519, 21011, 476, 1428, 267, 476, 1626, 543, 476, 1704, 6859, 269, 8409, 2516, 22132, 689, 1369, 8331, 2059, 609, 519, 2160, 540, 14151, 267, 2160, 540, 4993, 20588, 267, 2136, 2276, 25220, 6997, 267, 6778, 10513, 5803, 5441, 543, 519, 2160, 540, 1715, 6792, 563, 763, 2516, 786, 2638, 856, 5396, 607, 9867, 607, 1858, 29056, 267, 519, 27230, 1686, 540, 519, 21011, 476, 1704, 3896, 543, 15027, 2534, 593, 519, 7599, 269, 634, 2516, 786, 4308, 609, 8331, 12665, 547, 3442, 519, 1360, 1655, 1505, 547, 1930, 519, 5439, 538, 1931, 547, 2061, 12526, 563, 288, 3732, 689, 519, 476, 3192, 273, 21011, 476, 1704, 6662, 568, 2523, 7415, 269, 898, 2882, 476, 272, 269, 279, 6550, 630, 8517, 10101, 264, 540, 1587, 16876, 538, 513, 8546, 602, 729, 11013, 539, 883, 7599, 269, 901, 786, 1683, 3744, 606, 5140, 1491, 513, 1413, 693, 519, 6106, 7396, 2630, 519, 2627, 1858, 269, 589, 1906, 540, 519, 824, 5439, 941, 6854, 13792, 610, 6854, 538, 26775, 563, 892, 1452, 5439, 941, 17543, 24721, 865, 649, 666, 4324, 689, 2221, 779, 4359, 543, 4359, 5647, 547, 2232, 4145, 649, 4769, 1406, 1174, 649, 2838, 547, 2307, 2223, 7150, 8331, 779, 700, 9461, 3794, 10270, 454, 289, 5090, 523, 560, 710, 2829, 8331, 5433, 1390, 538, 4974, 891, 5439, 2016, 602, 519, 1858, 6109, 9027, 919, 547, 581, 2111, 547, 2445, 4195, 7599, 7725, 538, 519, 2104, 269, 0, 2026, 649, 5063, 4080, 593, 634, 645, 293, 291, 267, 2842, 18434, 616, 513, 968, 516, 2908, 762, 892, 1648, 2707, 799, 5932, 513, 2898, 3984, 540, 2825, 2042, 540, 922, 1378, 269, 3502, 1152, 798, 519, 10357, 2275, 745, 322, 32267, 525, 26718, 5017, 543, 16835, 593, 606, 4853, 4336, 267, 789, 4734, 513, 26648, 543, 11972, 3653, 9371, 3297, 950, 741, 2110, 1272, 1606, 3966, 8255, 856, 563, 763, 824, 3368, 540, 519, 15265, 1000, 25593, 540, 7791, 1648, 267, 3859, 267, 3884, 1406, 1022, 4443, 593, 519, 1604, 269, 4634, 811, 982, 2842, 267, 5663, 3859, 8440, 3762, 513, 575, 1173, 656, 10224, 6757, 3653, 9371, 538, 922, 12687, 563, 11514, 19397, 540, 873, 568, 1175, 607, 6757, 563, 2690, 5756, 267, 519, 3859, 2872, 28322, 689, 21464, 5313, 267, 1533, 267, 543, 2199, 24307, 547, 2333, 922, 11640, 269, 8616, 891, 21464, 24307, 11716, 519, 3790, 540, 12871, 540, 3859, 8470, 3653, 563, 28830, 949, 581, 4657, 269, 769, 2904, 476, 1001, 279, 267, 7812, 26425, 523, 31000, 267, 513, 5384, 18225, 968, 295, 3266, 540, 519, 5113, 892, 543, 5682, 3883, 13815, 12736, 1676, 267, 5206, 538, 1280, 15816, 602, 519, 1966, 540, 3859, 8470, 12871, 786, 1011, 1712, 609, 2407, 3196, 538, 1079, 610, 1614, 5756, 543, 20739, 1188, 519, 1604, 1317, 621, 568, 513, 5458, 2179, 540, 3653, 799, 568, 711, 2653, 547, 22120, 563, 9515, 961, 523, 31000, 729, 19696, 8292, 2507, 5228, 4457, 3859, 4274, 570, 1014, 3687, 2507, 307, 1014, 1572, 1010, 2197, 779, 3859, 1379, 2872, 968, 320, 8743, 532, 942, 10514, 3034, 1432, 779, 1256, 8338, 568, 602, 267, 693, 519, 581, 4554, 540, 519, 2916, 25211, 267, 6608, 723, 23953, 17542, 883, 7175, 513, 6757, 1085, 600, 563, 763, 23105, 4964, 1185, 4080, 538, 476, 1001, 274, 602, 519, 8185, 13564, 1242, 3859, 2872, 729, 2870, 6634, 540, 6550, 540, 26130, 31993, 543, 13572, 1216, 602, 568, 1419, 25855, 26071, 1419, 7366, 540, 5195, 2476, 563, 763, 1631, 12413, 9417, 267, 22625, 539, 3752, 344, 526, 571, 1031, 922, 1269, 276, 3374, 2929, 538, 16798, 5313, 9489, 547, 5352, 827, 476, 1321, 269, 276, 2929, 6550, 540, 13818, 3653, 267, 1454, 540, 799, 729, 15910, 8328, 20017, 26606, 9762, 3133, 730, 3653, 267, 1282, 922, 2185, 1296, 540, 4238, 563, 2690, 782, 519, 2770, 742, 827, 968, 30236, 267, 3039, 1648, 689, 519, 3141, 5608, 519, 5168, 568, 602, 519, 3859, 2872, 568, 513, 6757, 31993, 540, 10519, 5498, 22701, 543, 5533, 563, 763, 3328, 14438, 540, 513, 3859, 8470, 568, 827, 476, 736, 1296, 267, 855, 1164, 5210, 630, 553, 538, 519, 7720, 329, 1511, 19164, 264, 666, 17108, 519, 10172, 1184, 585, 3859, 2281, 267, 543, 6777, 267, 7452, 267, 543, 824, 2067, 2621, 630, 339, 1941, 29777, 267, 16767, 1070, 4754, 2014, 1570, 9854, 593, 519, 2627, 543, 538, 519, 4835, 3167, 11387, 1107, 7930, 4227, 519, 8470, 779, 1379, 3977, 563, 23530, 8440, 5352, 476, 4968, 2053, 811, 6757, 3653, 829, 1770, 540, 1648, 982, 6046, 1379, 2371, 269, 1358, 849, 2270, 1291, 267, 20017, 26606, 267, 543, 824, 6757, 630, 16838, 15910, 8328, 264, 6464, 602, 3112, 581, 6569, 1510, 8840, 6306, 519, 3003, 8470, 269, 1937, 572, 267, 24467, 666, 11547, 1082, 540, 891, 5233, 923, 856, 540, 519, 15998, 540, 3859, 13838, 936, 942, 563, 5194, 1483, 6161, 568, 519, 5318, 2333, 538, 519, 946, 540, 9436, 959, 604, 1663, 528, 728, 630, 22143, 274, 264, 538, 519, 4070, 540, 3859, 8440, 1107, 909, 476, 272, 267, 4962, 278, 2600, 936, 519, 2250, 476, 1839, 1296, 269, 634, 6167, 3955, 32744, 19937, 593, 8693, 7827, 632, 2114, 29458, 274, 547, 581, 476, 1704, 267, 1220, 2053, 811, 14984, 982, 3327, 8166, 607, 513, 8511, 3154, 1107, 2495, 602, 1256, 5266, 5634, 9424, 666, 723, 2101, 5222, 6983, 2399, 3820, 270, 1001, 280, 270, 6021, 270, 1428, 270, 1492, 1606, 6897, 1790, 534, 601, 3562, 13877, 2914, 4292, 3491, 12378, 13045, 763, 1942, 540, 8741, 532, 540, 543, 9657, 3859, 8470, 5533, 568, 11999, 267, 543, 3395, 269, 9891, 8470, 3653, 666, 1152, 581, 13381, 693, 513, 2530, 269, 3567, 2907, 9193, 602, 621, 786, 1491, 5756, 547, 22120, 922, 1699, 3653, 269, 1403, 519, 26689, 5414, 28822, 1493, 918, 738, 1205, 741, 1259, 267, 543, 519, 3859, 2872, 21040, 883, 606, 782, 10276, 7609, 532, 581, 1335, 1054, 267, 875, 1454, 8338, 786, 519, 5533, 1966, 581, 888, 4322, 561, 3019, 625, 616, 11318, 519, 4541, 547, 968, 338, 1511, 892, 621, 269, 0, 763, 3621, 2146, 1131, 899, 547, 4444, 519, 1158, 513, 3213, 651, 269, 4270, 267, 711, 4010, 282, 789, 9364, 1175, 899, 547, 3142, 721, 782, 1927, 607, 835, 1804, 543, 3478, 17038, 784, 1920, 540, 18495, 269, 634, 1259, 547, 798, 713, 267, 2687, 547, 15623, 6790, 6447, 879, 267, 568, 998, 796, 8455, 1194, 267, 19957, 5444, 1382, 269, 5675, 689, 519, 3557, 4972, 630, 7474, 781, 17559, 1070, 6004, 269, 6790, 6447, 879, 15260, 999, 721, 602, 1367, 6090, 3112, 2272, 585, 1169, 1480, 16023, 610, 8984, 269, 634, 4641, 568, 1454, 811, 1950, 267, 543, 3322, 519, 5872, 543, 954, 2719, 1782, 540, 1082, 6090, 269, 1809, 952, 649, 2479, 1616, 547, 581, 2111, 547, 4137, 856, 875, 938, 4719, 3889, 1599, 547, 1118, 721, 519, 1004, 649, 616, 630, 663, 1946, 1131, 649, 1616, 547, 798, 602, 267, 594, 4898, 286, 1070, 649, 3513, 991, 811, 1382, 269, 1656, 1100, 5683, 27047, 6493, 593, 602, 1382, 267, 2901, 269, 2913, 621, 782, 13793, 856, 269, 2913, 781, 1205, 782, 519, 3744, 538, 519, 1158, 1927, 267, 1780, 856, 930, 595, 10280, 267, 2206, 513, 3046, 610, 1079, 540, 834, 296, 9364, 899, 547, 4001, 519, 1158, 547, 2206, 538, 3501, 10103, 2580, 543, 723, 693, 1346, 6090, 269, 6004, 269, 6790, 6447, 879, 5267, 267, 950, 621, 2501, 547, 519, 1655, 1259, 547, 3895, 811, 5444, 1382, 267, 834, 704, 4257, 519, 1655, 3070, 568, 711, 811, 23388, 676, 7881, 12545, 855, 267, 2864, 267, 5092, 538, 2866, 3744, 689, 1472, 519, 1158, 910, 3226, 519, 3384, 1158, 257, 630, 763, 14355, 22588, 569, 267, 14400, 267, 476, 1220, 280, 1040, 1261, 8591, 267, 834, 18744, 950, 1004, 689, 1472, 519, 1158, 7119, 538, 1024, 15299, 786, 649, 1205, 513, 2347, 4605, 540, 1480, 8390, 543, 922, 1909, 538, 8159, 938, 1950, 7592, 1701, 1261, 13922, 602, 834, 821, 1554, 267, 782, 3425, 786, 1586, 581, 513, 2582, 5198, 910, 607, 789, 11478, 1082, 5215, 540, 1296, 3516, 267, 1354, 789, 2451, 4000, 1701, 6936, 552, 29774, 267, 607, 621, 941, 910, 607, 538, 834, 324, 1872, 523, 923, 22172, 0, 19322, 664, 781, 4346, 538, 519, 476, 866, 628, 2540, 454, 1103, 476, 6642, 274, 267, 519, 14787, 28199, 23625, 333, 23331, 6700, 602, 538, 519, 1296, 1063, 476, 11260, 271, 543, 476, 8146, 280, 972, 729, 606, 16581, 543, 11633, 7169, 538, 6628, 269, 3509, 12206, 1631, 4161, 713, 2856, 543, 789, 2322, 519, 7432, 1448, 1454, 4505, 267, 543, 2303, 602, 1689, 729, 1454, 811, 16795, 982, 23625, 333, 23331, 1767, 563, 32701, 267, 519, 1296, 1310, 476, 11260, 271, 941, 513, 942, 540, 1390, 1689, 269, 634, 7835, 538, 2872, 941, 5532, 609, 519, 2208, 540, 519, 3703, 7276, 563, 30356, 7835, 540, 519, 476, 866, 628, 2540, 454, 24730, 5153, 2380, 517, 781, 21525, 12067, 267, 834, 305, 12714, 4840, 14946, 906, 1282, 713, 942, 12012, 519, 2470, 540, 1272, 267, 711, 1175, 538, 6628, 267, 855, 782, 936, 519, 1158, 563, 2467, 941, 5458, 2551, 2242, 912, 268, 634, 2551, 8057, 476, 18605, 829, 1298, 538, 519, 1296, 1063, 476, 11260, 271, 543, 476, 5002, 271, 563, 268, 769, 476, 11260, 271, 267, 827, 476, 1428, 829, 1298, 540, 519, 2551, 5030, 538, 10034, 267, 855, 676, 476, 5002, 271, 621, 729, 476, 5952, 829, 1298, 269, 1635, 476, 5002, 271, 267, 5507, 1185, 476, 275, 269, 276, 2929, 1004, 267, 543, 29161, 1185, 476, 31318, 267, 1822, 563, 1103, 2872, 1107, 4352, 12206, 1631, 2243, 519, 2856, 540, 606, 11633, 7169, 1107, 519, 1974, 476, 11260, 271, 587, 496, 4489, 275, 9090, 4718, 4853, 2208, 912, 268, 930, 12206, 723, 1572, 713, 1974, 1412, 1492, 31543, 6520, 262, 602, 12926, 3323, 609, 9400, 18206, 342, 2431, 781, 10412, 1984, 693, 595, 668, 5112, 538, 476, 10082, 272, 454, 268, 538, 519, 2540, 476, 8687, 276, 587, 496, 4489, 275, 19135, 2504, 2799, 476, 1428, 24670, 267, 5755, 2504, 2799, 476, 736, 24670, 267, 543, 4401, 2504, 2799, 476, 1789, 24670, 454, 9558, 1636, 543, 10618, 4824, 912, 268, 7338, 570, 1409, 867, 3710, 9897, 543, 23668, 538, 519, 2038, 476, 5197, 271, 338, 269, 6723, 5153, 2380, 517, 543, 1772, 3711, 731, 8003, 19839, 601, 16136, 1177, 519, 1412, 305, 841, 3118, 2494, 807, 262, 540, 519, 476, 866, 628, 2540, 269, 0, 2080, 514, 596, 786, 1265, 476, 736, 8941, 267, 689, 519, 9622, 12245, 1772, 548, 269, 1703, 616, 5722, 536, 731, 545, 32741, 899, 267, 634, 5753, 540, 700, 597, 267, 634, 10555, 2986, 6997, 571, 267, 634, 966, 3188, 766, 2986, 12379, 3022, 571, 543, 2947, 811, 16310, 269, 4746, 8659, 23954, 616, 24369, 17691, 267, 1142, 513, 9661, 538, 3294, 267, 16439, 519, 1272, 540, 18373, 5672, 595, 636, 15595, 689, 7911, 3125, 998, 15296, 1519, 519, 634, 17510, 2986, 744, 529, 27713, 543, 1010, 16731, 1677, 634, 8092, 2986, 15272, 1152, 547, 2132, 547, 1265, 602, 1010, 4651, 267, 18373, 267, 1185, 15468, 693, 519, 6370, 540, 6601, 320, 1614, 4627, 1296, 1354, 269, 14936, 267, 634, 3778, 2986, 3751, 595, 768, 659, 568, 22281, 539, 689, 519, 942, 540, 1010, 4332, 267, 1010, 27790, 267, 7365, 267, 14897, 766, 543, 1010, 2669, 563, 763, 476, 1626, 9677, 1014, 2511, 267, 2681, 10824, 676, 15537, 1234, 573, 630, 6942, 274, 1107, 476, 3707, 279, 264, 9446, 10207, 689, 891, 8941, 543, 616, 27610, 543, 2040, 696, 6681, 538, 741, 2681, 543, 1469, 563, 763, 1079, 1034, 17736, 545, 6681, 5515, 538, 3504, 9721, 10828, 616, 595, 1276, 592, 664, 267, 945, 5030, 538, 519, 12081, 540, 1230, 528, 5672, 715, 612, 320, 5612, 1354, 519, 4168, 5736, 267, 543, 18373, 5067, 540, 595, 636, 15595, 267, 945, 5526, 538, 3332, 607, 519, 23071, 540, 513, 4108, 1931, 13991, 547, 519, 3028, 540, 519, 4400, 3751, 540, 8581, 1282, 519, 476, 274, 6113, 2540, 269, 1306, 971, 267, 713, 4320, 568, 5631, 7255, 609, 519, 7518, 1080, 540, 5685, 5672, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 13312, 8183, 634, 1739, 616, 3730, 3268, 585, 3384, 513, 6516, 547, 10891, 2093, 585, 707, 1557, 269, 14755, 267, 1603, 873, 3217, 7899, 540, 942, 269, 3767, 602, 596, 723, 2919, 707, 5098, 543, 519, 2949, 1560, 540, 707, 1557, 267, 596, 1590, 2328, 606, 4367, 563, 10376, 540, 519, 1292, 2093, 596, 3769, 538, 707, 7291, 610, 6516, 786, 1831, 540, 519, 1560, 9433, 269, 634, 1101, 4845, 540, 519, 25759, 5037, 3096, 519, 9030, 1913, 689, 519, 24185, 689, 1142, 5037, 540, 519, 1560, 540, 519, 1957, 563, 6962, 634, 3803, 5037, 540, 519, 1557, 2488, 519, 3932, 269, 22505, 1557, 1888, 585, 909, 2675, 981, 2780, 1983, 1557, 1183, 3983, 327, 974, 737, 611, 600, 1250, 1603, 1272, 1557, 6280, 4957, 269, 1717, 267, 713, 8671, 545, 568, 1152, 6225, 538, 519, 2110, 2165, 563, 8245, 2952, 2689, 707, 1292, 2798, 543, 1683, 15699, 540, 707, 5098, 269, 634, 2063, 4845, 540, 713, 5037, 1590, 849, 2270, 513, 27139, 834, 327, 809, 257, 799, 7575, 519, 5467, 547, 519, 1101, 5037, 540, 519, 1560, 540, 519, 1957, 269, 634, 13387, 7291, 585, 606, 4081, 1557, 13408, 540, 519, 2947, 5037, 4341, 563, 1607, 2497, 5713, 607, 513, 5748, 585, 707, 1957, 269, 808, 582, 891, 5396, 1524, 269, 5272, 19496, 267, 16258, 19986, 2337, 5215, 540, 1053, 2628, 585, 1153, 676, 12805, 873, 547, 25689, 267, 14828, 267, 543, 22631, 4721, 267, 585, 799, 789, 2965, 20618, 269, 8921, 547, 1142, 4936, 1003, 1968, 267, 2328, 519, 1292, 2798, 267, 610, 2093, 267, 827, 707, 1557, 1888, 563, 763, 2596, 3898, 585, 606, 1557, 568, 1634, 607, 519, 2947, 5037, 1557, 2443, 855, 606, 1557, 949, 723, 607, 1082, 9433, 607, 2877, 269, 901, 3803, 3948, 949, 581, 513, 834, 322, 718, 547, 2962, 257, 538, 606, 10388, 1957, 563, 19352, 1614, 547, 2947, 3515, 4839, 4221, 1055, 689, 713, 1888, 543, 2328, 1524, 707, 1292, 2093, 693, 519, 7475, 540, 891, 3515, 269, 901, 568, 513, 5386, 1899, 267, 607, 596, 1810, 1405, 1616, 547, 2285, 1932, 1454, 2476, 269, 1717, 267, 952, 519, 6662, 610, 707, 1557, 568, 547, 2328, 513, 1808, 2079, 267, 1287, 834, 305, 4785, 306, 8656, 257, 1131, 581, 2484, 1932, 2489, 513, 1888, 563, 763, 2034, 5037, 540, 519, 1560, 1058, 2270, 519, 2034, 16999, 4661, 267, 2034, 1034, 1713, 1383, 267, 2034, 1579, 3164, 560, 14745, 267, 610, 606, 6654, 1246, 909, 519, 1101, 5037, 538, 519, 1560, 563, 2237, 1524, 519, 2495, 540, 1142, 2262, 267, 543, 17492, 513, 4845, 602, 786, 3142, 856, 519, 2495, 269, 1215, 547, 3503, 606, 4828, 281, 476, 1015, 14168, 17778, 898, 568, 1250, 20440, 547, 2161, 538, 4557, 5220, 1018, 1866, 2161, 538, 513, 2898, 1433, 563, 734, 26179, 3026, 6308, 22385, 4208, 568, 1603, 606, 1557, 865, 269, 17778, 585, 5675, 513, 9502, 4828, 7994, 513, 2165, 596, 1616, 547, 5581, 267, 543, 6338, 621, 547, 707, 3988, 563, 1607, 666, 581, 2944, 538, 1896, 2081, 267, 855, 707, 1292, 3804, 693, 519, 856, 3553, 568, 563, 17730, 606, 20895, 585, 606, 4828, 4107, 10763, 267, 4612, 633, 267, 610, 10388, 3594, 4043, 547, 1246, 519, 1482, 2596, 4806, 269, 901, 2985, 1058, 948, 596, 25666, 2500, 269, 17926, 17778, 281, 476, 1015, 1160, 1597, 9669, 547, 3503, 14568, 10749, 538, 2296, 5272, 4161, 568, 606, 4316, 547, 1451, 563, 2252, 1603, 606, 1557, 4992, 513, 2370, 3787, 17559, 267, 1175, 1589, 540, 621, 607, 513, 4960, 547, 2087, 707, 1603, 1983, 269, 769, 1931, 547, 2101, 538, 513, 10618, 5829, 2361, 267, 1053, 1590, 1491, 513, 11826, 8430, 540, 2296, 6030, 267, 799, 1797, 513, 2898, 2603, 540, 1557, 1603, 563, 296, 3533, 9862, 513, 1505, 540, 1557, 1603, 267, 799, 594, 3494, 29776, 543, 6908, 6050, 519, 1184, 269, 1548, 1772, 32000, 4828, 286, 3509, 1762, 4589, 2307, 267, 834, 1432, 568, 606, 21107, 1557, 8119, 2290, 1590, 1174, 1018, 21107, 6763, 585, 281, 621, 568, 513, 11356, 2376, 602, 11148, 547, 2270, 543, 2491, 2278, 781, 2093, 563, 1607, 4062, 540, 1603, 666, 581, 593, 1022, 1888, 269, 3721, 338, 547, 2328, 606, 1557, 538, 7005, 0, 289, 582, 614, 328, 781, 590, 1706, 992, 630, 8248, 1075, 2801, 320, 7762, 614, 4512, 264, 568, 513, 1507, 630, 1428, 268, 1704, 4699, 1070, 10750, 838, 5535, 602, 9832, 689, 22728, 28573, 547, 519, 7013, 8728, 540, 14151, 267, 1715, 6792, 267, 543, 7147, 267, 609, 519, 4295, 540, 519, 2039, 538, 6792, 269, 15762, 26293, 26377, 616, 519, 9053, 9249, 585, 713, 2249, 1369, 922, 3908, 2039, 538, 1715, 6792, 269, 15636, 614, 328, 779, 590, 1706, 4900, 786, 29677, 6371, 7749, 704, 10352, 2394, 519, 6371, 7749, 11825, 616, 25356, 543, 1287, 3548, 873, 563, 1320, 805, 338, 543, 11094, 589, 2388, 454, 4910, 738, 585, 281, 2353, 0, 10998, 12224, 10298, 1280, 4147, 476, 1321, 17323, 3487, 645, 3848, 476, 272, 15510, 17392, 454, 304, 269, 7994, 519, 1318, 4267, 540, 519, 1246, 902, 689, 519, 2016, 3681, 563, 9217, 264, 3127, 779, 2551, 607, 829, 476, 1001, 272, 14829, 568, 10778, 23870, 264, 6904, 835, 540, 519, 1739, 2829, 814, 519, 5207, 5860, 540, 2551, 538, 3127, 15017, 31702, 264, 6904, 835, 540, 519, 1739, 2829, 814, 519, 5207, 8167, 540, 4683, 2551, 538, 3127, 2687, 547, 476, 1001, 272, 17227, 15017, 304, 269, 8382, 519, 1739, 2055, 538, 827, 476, 1789, 1913, 563, 9217, 264, 15020, 3905, 543, 3819, 267, 1360, 4411, 543, 6632, 4525, 540, 3127, 723, 1970, 5860, 540, 2551, 269, 769, 713, 1769, 267, 2491, 519, 1909, 540, 2916, 593, 519, 3892, 540, 2551, 563, 23870, 264, 6904, 2829, 723, 1804, 6917, 2551, 538, 3127, 286, 12315, 835, 2601, 585, 971, 1804, 6917, 2551, 563, 9172, 269, 2276, 899, 31579, 541, 21423, 267, 4437, 9618, 267, 4639, 19377, 267, 31881, 330, 574, 543, 14076, 553, 22474, 616, 519, 2829, 2348, 1804, 6917, 2551, 563, 4322, 2829, 616, 7361, 7722, 538, 3119, 5823, 543, 922, 24027, 2534, 543, 723, 1970, 2157, 540, 2804, 543, 1514, 1646, 267, 8754, 513, 14887, 1102, 2858, 24780, 1646, 1184, 799, 2417, 29620, 4683, 5314, 563, 31702, 264, 4208, 798, 930, 2829, 540, 3127, 723, 2362, 3928, 540, 960, 7589, 982, 1866, 888, 9172, 269, 634, 960, 7589, 2557, 1797, 267, 519, 1297, 540, 1004, 7722, 538, 2804, 2534, 269, 2368, 540, 1533, 538, 3127, 971, 607, 31579, 21531, 8518, 267, 13924, 778, 531, 21423, 267, 932, 3430, 529, 3258, 327, 267, 1656, 31137, 3092, 1421, 4043, 547, 723, 2362, 960, 7589, 3928, 563, 763, 960, 7589, 3928, 11148, 547, 581, 2362, 538, 891, 1858, 540, 2539, 1377, 540, 2804, 1646, 543, 6639, 13120, 4061, 519, 1297, 540, 8261, 4600, 568, 2877, 547, 1685, 519, 7449, 14571, 610, 2282, 7449, 14571, 2804, 2238, 538, 519, 9000, 540, 824, 3255, 563, 263, 643, 264, 2048, 763, 6694, 5823, 814, 519, 4102, 2671, 540, 4095, 4600, 10200, 11512, 563, 304, 269, 8382, 519, 1739, 2055, 538, 827, 476, 5611, 1913, 563, 9217, 264, 9181, 519, 8901, 4806, 540, 5860, 540, 2551, 538, 3127, 563, 23870, 264, 12315, 606, 2272, 540, 519, 17163, 2497, 540, 3127, 779, 2551, 269, 0, 1432, 1826, 540, 27118, 20469, 568, 964, 4148, 584, 2033, 888, 5327, 4148, 584, 2033, 568, 513, 2489, 32480, 606, 20469, 585, 538, 18345, 543, 30229, 6391, 538, 4079, 269, 2677, 4148, 584, 2033, 267, 610, 594, 268, 4792, 274, 267, 513, 513, 19979, 606, 20469, 602, 568, 811, 6385, 23498, 543, 1447, 8311, 1242, 982, 3105, 31067, 606, 652, 12060, 971, 607, 8715, 20293, 4148, 584, 2033, 267, 694, 341, 1993, 331, 584, 2033, 267, 679, 4148, 584, 2033, 267, 610, 568, 1993, 331, 584, 2033, 269, 476, 275, 267, 273, 267, 2641, 563, 1432, 568, 519, 946, 540, 964, 4148, 584, 2033, 888, 5327, 4148, 584, 2033, 12851, 547, 519, 1895, 540, 11955, 1634, 607, 2489, 606, 652, 12060, 269, 769, 327, 4705, 964, 4148, 584, 2033, 568, 1031, 547, 2014, 2489, 23236, 630, 29754, 540, 9637, 264, 1354, 543, 1282, 6391, 538, 4079, 269, 898, 568, 849, 1031, 607, 513, 5826, 23236, 538, 4079, 543, 1453, 1310, 8391, 824, 606, 652, 12060, 1354, 543, 1282, 6391, 563, 1692, 568, 964, 4148, 584, 2033, 13950, 888, 5327, 4148, 584, 2033, 7245, 568, 3842, 519, 23254, 1049, 8905, 269, 898, 814, 513, 533, 2426, 550, 17627, 267, 1818, 621, 2352, 547, 946, 585, 519, 15632, 540, 2489, 23236, 269, 898, 568, 1031, 1034, 4122, 585, 5826, 540, 2489, 23236, 1310, 15632, 609, 606, 10001, 610, 1776, 23254, 1049, 8665, 563, 1432, 568, 964, 4148, 584, 2033, 1500, 540, 888, 5327, 4148, 584, 2033, 630, 272, 267, 273, 267, 273, 267, 273, 2389, 25523, 22381, 19660, 14007, 546, 604, 1663, 528, 558, 14007, 552, 750, 264, 568, 513, 3810, 14806, 3990, 18861, 2802, 2643, 552, 750, 1031, 585, 5826, 540, 2489, 23236, 269, 6145, 10300, 1054, 2033, 267, 679, 4148, 584, 2033, 267, 543, 568, 1993, 331, 584, 2033, 267, 621, 568, 513, 5198, 6193, 7848, 540, 630, 305, 264, 543, 630, 306, 264, 9804, 568, 12002, 630, 523, 21468, 12002, 1916, 1692, 3983, 568, 964, 4148, 584, 2033, 585, 519, 1604, 888, 1103, 15595, 1049, 16562, 20469, 8069, 616, 8392, 1993, 1663, 528, 665, 16808, 976, 267, 2048, 13582, 5264, 9362, 685, 602, 723, 1063, 476, 4097, 280, 630, 572, 341, 1993, 331, 584, 2033, 264, 543, 476, 4391, 272, 275, 630, 9188, 4148, 584, 2033, 264, 2053, 519, 2518, 8337, 1761, 936, 513, 476, 736, 1032, 942, 16880, 540, 3327, 8166, 630, 529, 1993, 331, 584, 2033, 476, 9610, 272, 1070, 6697, 547, 6117, 513, 1286, 476, 1240, 630, 572, 341, 1993, 331, 584, 2033, 264, 547, 9625, 12573, 5195, 630, 9188, 4148, 584, 2033, 264, 829, 5662, 540, 454, 1432, 568, 1776, 2012, 585, 964, 4148, 584, 2033, 888, 24746, 11266, 3198, 292, 630, 9188, 4148, 584, 2033, 267, 2475, 303, 264, 568, 513, 2681, 1652, 267, 1875, 22286, 30100, 267, 19979, 5277, 630, 10964, 578, 476, 2420, 269, 279, 9180, 264, 585, 32480, 267, 476, 1911, 260, 964, 4148, 584, 2033, 563, 1432, 2681, 568, 964, 4148, 584, 2033, 888, 276, 264, 2677, 4148, 584, 2033, 281, 2051, 712, 3009, 1107, 21708, 4544, 26914, 815, 476, 277, 4939, 2677, 4148, 584, 2033, 568, 519, 21777, 19979, 8665, 267, 13754, 2213, 538, 476, 1960, 274, 269, 898, 568, 7199, 543, 2115, 513, 10427, 11517, 16014, 585, 7245, 563, 3963, 568, 6491, 9317, 12547, 1031, 538, 23236, 888, 301, 527, 9317, 12547, 19132, 2066, 519, 31276, 565, 639, 6385, 1317, 540, 922, 1164, 20188, 32610, 269, 901, 5012, 547, 5834, 540, 519, 6967, 9362, 538, 519, 31276, 565, 639, 630, 14179, 8684, 8665, 267, 5135, 267, 543, 9436, 1070, 2810, 519, 6117, 2604, 540, 19979, 16562, 20469, 8665, 883, 519, 1973, 563, 1692, 1454, 1281, 964, 4148, 584, 2033, 1942, 888, 1692, 21741, 532, 1696, 620, 269, 476, 272, 7229, 519, 1942, 540, 964, 4148, 584, 2033, 543, 694, 341, 1993, 331, 584, 2033, 547, 581, 1269, 1724, 269, 736, 543, 1269, 271, 269, 8287, 829, 2013, 267, 6606, 267, 513, 811, 982, 476, 273, 267, 1822, 260, 3017, 267, 568, 28430, 563, 1432, 1281, 964, 4148, 584, 2033, 9329, 899, 888, 2005, 568, 6653, 1159, 2454, 543, 30194, 533, 2426, 550, 267, 543, 8754, 1134, 14018, 547, 23254, 1049, 1802, 2388, 269, 5221, 540, 922, 2347, 14806, 1588, 267, 694, 341, 1993, 331, 584, 2033, 814, 513, 1360, 1970, 1973, 32610, 630, 600, 784, 4122, 1031, 19979, 606, 652, 12060, 267, 1152, 964, 4148, 584, 2033, 814, 513, 2539, 32610, 1040, 898, 568, 5111, 3368, 607, 14984, 607, 568, 1993, 331, 584, 2033, 563, 1692, 1454, 1281, 513, 11480, 540, 694, 341, 1993, 331, 584, 2033, 1942, 888, 763, 1942, 585, 694, 341, 1993, 331, 584, 2033, 32480, 5277, 476, 1911, 260, 568, 1472, 1269, 10019, 585, 513, 3761, 540, 476, 7742, 1984, 4106, 619, 267, 4470, 593, 519, 26849, 596, 3643, 563, 347, 7742, 1984, 4106, 619, 28390, 271, 269, 4097, 1107, 1269, 271, 269, 4510, 28390, 10019, 269, 2918, 1107, 1269, 11820, 269, 5379, 2008, 347, 5611, 271, 630, 277, 1535, 476, 7742, 1984, 4106, 619, 10534, 259, 271, 269, 5379, 28390, 6924, 277, 269, 4037, 1107, 1269, 7597, 275, 269, 11463, 2008, 3963, 568, 964, 4148, 584, 2033, 12699 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7538, 610, 4049, 2212, 2604, 568, 3006, 513, 1129, 540, 513, 3978, 2564, 2783, 267, 971, 607, 513, 2634, 10510, 610, 31729, 332, 563, 4692, 596, 4628, 9156, 689, 513, 2634, 31729, 332, 888, 2005, 786, 1491, 476, 274, 547, 476, 277, 4374, 547, 4628, 9156, 269, 1403, 596, 1185, 11702, 689, 707, 31729, 332, 713, 949, 1491, 3476, 269, 1411, 949, 1745, 13110, 585, 909, 547, 476, 1321, 610, 811, 4374, 269, 1403, 596, 1185, 513, 8482, 610, 2634, 5945, 689, 519, 11702, 267, 596, 949, 723, 8628, 2042, 971, 607, 8373, 609, 4633, 610, 3206, 267, 4887, 8467, 267, 610, 31018, 269, 0, 309, 3147, 1149, 616, 606, 1271, 851, 540, 1920, 543, 1857, 1072, 269, 1358, 2061, 519, 3262, 540, 21380, 267, 5906, 267, 543, 14686, 3676, 269, 1452, 1331, 27330, 267, 29887, 267, 544, 7927, 267, 9269, 1093, 343, 267, 945, 14563, 11522, 267, 546, 13023, 750, 807, 267, 543, 19690, 269, 2060, 519, 1699, 6855, 543, 519, 4473, 540, 16568, 4211, 10976, 268, 273, 602, 814, 10969, 730, 6634, 540, 1004, 5001, 1862, 4466, 513, 6669, 1996, 11763, 3676, 814, 1631, 1831, 811, 1271, 982, 2479, 563, 1103, 713, 1576, 267, 596, 786, 581, 5189, 547, 930, 2596, 2035, 593, 6669, 5888, 267, 3156, 267, 543, 1646, 269, 18786, 689, 519, 3140, 4720, 540, 10074, 547, 1806, 540, 1312, 6671, 543, 18960, 4485, 547, 6669, 1374, 269, 5015, 267, 3209, 4485, 547, 2860, 10074, 543, 10074, 585, 7686, 1030, 1619, 786, 849, 581, 8214, 1194, 269, 2311, 519, 1439, 540, 713, 1576, 267, 596, 786, 723, 513, 4514, 1620, 543, 7071, 540, 519, 2956, 540, 6669, 2523, 538, 519, 2796, 540, 1857, 1072, 563, 1607, 1576, 568, 851, 540, 1250, 16332, 1108, 10022, 912, 17345, 476, 272, 910, 27284, 3778, 540, 16332, 1108, 454, 17345, 476, 273, 910, 634, 16332, 1108, 540, 25095, 3672, 454, 17345, 476, 274, 910, 3690, 8690, 566, 16332, 1108, 454, 17345, 476, 275, 910, 28404, 16332, 1108, 454, 26796, 27350, 547, 519, 1576, 267, 782, 2326, 971, 607, 11000, 7044, 267, 2259, 17118, 267, 543, 4647, 762, 2200, 786, 2141, 581, 2139, 1058, 596, 6999, 547, 979, 1394, 547, 519, 1570, 547, 1353, 543, 2689, 269, 1411, 786, 849, 4309, 513, 25890, 540, 7388, 5406, 799, 596, 666, 946, 547, 5818, 707, 16056, 267, 6437, 3857, 2801, 267, 610, 21912, 1103, 9043, 269, 21561, 707, 1702, 543, 1983, 910, 1376, 1565, 2221, 256, 0, 268, 1548, 568, 519, 2407, 2495, 540, 931, 888, 268, 1548, 616, 519, 931, 888, 268, 1548, 1611, 5294, 931, 888, 268, 6496, 1230, 1611, 1996, 888, 268, 4208, 616, 5294, 543, 931, 1271, 888, 268, 1772, 1230, 2110, 585, 4376, 888, 268, 1215, 798, 596, 11963, 5294, 543, 931, 888, 268, 1772, 598, 513, 1483, 2262, 888, 268, 5808, 11827, 519, 5294, 543, 931, 1592, 888, 268, 1548, 616, 1079, 5294, 543, 931, 888, 268, 1548, 568, 513, 598, 538, 1603, 888, 268, 1548, 779, 513, 598, 7376, 888, 1432, 568, 519, 2407, 2495, 540, 931, 888, 3682, 338, 543, 931, 267, 6508, 689, 519, 5824, 1913, 968, 2889, 892, 630, 1721, 264, 543, 968, 4186, 571, 892, 630, 28785, 560, 1070, 949, 3277, 547, 281, 18370, 543, 3117, 630, 29552, 3126, 1070, 513, 8613, 3126, 602, 513, 1600, 689, 476, 1960, 272, 547, 476, 1960, 273, 563, 3682, 338, 1299, 3117, 267, 513, 476, 1960, 280, 4670, 588, 18732, 32632, 16019, 543, 570, 20207, 5096, 1749, 517, 10756, 1432, 616, 519, 931, 888, 874, 19189, 269, 634, 5294, 543, 931, 540, 1945, 616, 922, 5383, 543, 11393, 267, 799, 596, 2015, 5402, 865, 602, 596, 666, 1118, 513, 24534, 3375, 269, 12624, 3125, 814, 1312, 922, 5294, 543, 931, 563, 1432, 1611, 5294, 931, 888, 2889, 338, 543, 931, 269, 14803, 3701, 610, 9270, 585, 543, 1996, 1945, 267, 607, 538, 1284, 8910, 1655, 9260, 782, 519, 5294, 543, 931, 1354, 649, 6430, 547, 1039, 513, 1007, 13617, 547, 519, 5399, 269, 901, 18986, 558, 568, 3144, 689, 519, 5824, 605, 585, 968, 1721, 892, 543, 598, 585, 968, 28785, 560, 1848, 1496, 454, 9989, 1230, 1611, 1996, 888, 1103, 11685, 610, 24895, 282, 1996, 281, 23503, 519, 3390, 605, 543, 598, 269, 2560, 476, 272, 269, 1323, 4661, 610, 6644, 1996, 1945, 563, 3963, 616, 5294, 543, 931, 1271, 888, 8794, 513, 2241, 968, 2889, 338, 892, 543, 968, 4621, 892, 1592, 7512, 596, 547, 1935, 707, 3375, 1843, 1947, 267, 1510, 15603, 707, 968, 326, 583, 4743, 892, 1764, 707, 3903, 269, 901, 1505, 568, 3226, 3730, 538, 1895, 3375, 1818, 267, 950, 2319, 2818, 3870, 513, 1978, 2856, 267, 1448, 540, 2070, 267, 610, 1544, 563, 3674, 1230, 2110, 585, 4376, 888, 288, 27325, 28008, 585, 6015, 267, 607, 538, 598, 812, 610, 598, 3014, 269, 2560, 1677, 598, 2576, 568, 547, 13587, 633, 610, 1491, 5413, 540, 513, 1268, 998, 674, 6938, 11070, 610, 8945, 2044, 1310, 10888, 519, 1268, 779, 6015, 269, 1230, 568, 849, 1031, 607, 513, 27325, 28008, 585, 20903, 267, 607, 538, 608, 8410, 547, 1611, 2576, 5892, 23948, 730, 563, 1692, 798, 596, 11963, 5294, 543, 931, 888, 3080, 8966, 946, 540, 19980, 1886, 1127, 568, 547, 1665, 726, 584, 1023, 540, 1913, 950, 789, 616, 1373, 5701, 607, 1913, 267, 607, 538, 968, 2889, 779, 543, 598, 779, 2223, 4352, 10750, 2025, 968, 2889, 338, 543, 931, 892, 1510, 19980, 1886, 1127, 568, 5386, 563, 3674, 598, 513, 1483, 2262, 888, 288, 598, 267, 610, 6015, 3014, 267, 568, 513, 2220, 26295, 2443, 950, 596, 1491, 5413, 540, 2576, 779, 3972, 269, 1403, 596, 598, 2576, 856, 540, 741, 1272, 9806, 267, 596, 1522, 2842, 909, 513, 598, 2443, 607, 538, 20903, 269, 634, 2262, 598, 814, 1082, 10096, 267, 9039, 540, 873, 1434, 563, 8005, 11827, 519, 5294, 543, 931, 1592, 888, 763, 4332, 540, 519, 5294, 543, 931, 1592, 281, 18148, 15284, 779, 476, 10082, 273, 4484, 547, 9478, 623, 1845, 1479, 344, 269, 769, 713, 476, 10082, 273, 4484, 267, 5484, 15284, 23933, 856, 875, 1010, 8798, 267, 519, 605, 270, 935, 1592, 267, 1568, 281, 2560, 3240, 10158, 568, 267, 547, 7941, 3368, 513, 16847, 540, 7433, 676, 513, 7412, 883, 1079, 2051, 8435, 267, 1603, 936, 519, 835, 1160, 267, 543, 936, 519, 824, 1230, 563, 1432, 616, 1079, 5294, 543, 931, 888, 3682, 338, 616, 7440, 11123, 2921, 513, 1880, 2619, 269, 3117, 616, 7440, 589, 16598, 2562, 4306, 563, 1432, 568, 513, 598, 538, 1603, 888, 272, 2433, 606, 4661, 610, 2963, 538, 11685, 269, 476, 273, 2433, 519, 2942, 2990, 610, 835, 8066, 621, 606, 813, 26150, 540, 519, 5294, 543, 931, 269, 598, 563, 1432, 779, 513, 598, 7376, 888, 281, 513, 1268, 945, 15361, 824, 1004, 538, 1931, 547, 1205, 741, 2724, 634, 7008, 4503, 741, 9806, 547, 513, 598, 7376, 945, 5143, 873, 646, 729, 606, 5092, 30549, 269, 0, 4002, 4873, 476, 274, 267, 476, 3192, 273, 267, 519, 7170, 26577, 1876, 729, 5293, 538, 1931, 547, 2061, 4008, 7130, 538, 1164, 3506, 543, 12621, 2429, 519, 2136, 2276, 269, 7170, 26577, 2829, 602, 968, 7224, 1268, 538, 519, 2136, 2276, 4927, 267, 593, 519, 4493, 540, 3023, 267, 581, 16934, 689, 7589, 538, 267, 581, 17792, 519, 2640, 540, 267, 610, 581, 16271, 547, 7130, 896, 1022, 2069, 1982, 610, 2534, 8391, 8549, 2883, 6351, 1848, 4014, 7170, 26577, 729, 5293, 476, 5392, 1296, 3516, 267, 922, 2360, 1869, 1764, 1053, 547, 713, 1554, 267, 1256, 538, 938, 1378, 2146, 693, 674, 26743, 650, 5303, 4400, 3427, 630, 293, 26743, 650, 15306, 1040, 7170, 26577, 1500, 621, 865, 602, 1631, 267, 2021, 723, 811, 3255, 538, 2069, 543, 3506, 616, 4371, 18177, 585, 741, 9698, 563, 17138, 26577, 568, 1655, 1634, 585, 922, 1764, 593, 7619, 923, 855, 713, 1876, 10301, 1454, 2417, 269, 898, 10039, 547, 968, 327, 27941, 2069, 267, 4876, 2069, 267, 2069, 585, 9176, 543, 15970, 1053, 267, 7694, 267, 1565, 1604, 267, 2979, 543, 2257, 267, 4638, 18275, 267, 13387, 4152, 267, 543, 2029, 1848, 15439, 2322, 267, 7170, 26577, 3340, 3506, 547, 1413, 811, 7184, 883, 20286, 3823, 4008, 8635, 543, 2285, 3160, 2126, 547, 782, 1053, 563, 4407, 7170, 26577, 2882, 782, 3344, 540, 2069, 972, 568, 513, 2601, 621, 568, 1655, 1634, 585, 922, 1764, 593, 7619, 923, 269, 898, 695, 809, 519, 1158, 540, 1153, 5026, 950, 621, 729, 1101, 5189, 267, 8716, 811, 6690, 547, 1404, 543, 6659, 741, 7589, 689, 476, 272, 538, 476, 2767, 547, 476, 273, 538, 476, 276, 269, 2859, 2021, 941, 2111, 547, 1205, 5026, 25689, 543, 741, 6887, 941, 1732, 14102, 269, 7170, 26577, 5280, 6690, 723, 811, 3255, 543, 1732, 2833, 538, 7619, 923, 563, 4407, 7170, 26577, 1705, 1118, 713, 5458, 1764, 267, 621, 729, 513, 16795, 1184, 602, 3576, 519, 942, 543, 4674, 540, 1082, 1004, 269, 634, 1032, 602, 621, 729, 5293, 1152, 476, 278, 269, 275, 260, 540, 1164, 1153, 9845, 941, 2021, 269, 898, 7012, 1406, 2394, 476, 1220, 272, 602, 2021, 19002, 7589, 2799, 547, 476, 6078, 269, 276, 10065, 7170, 26577, 4769, 1406, 4368, 3388, 14678, 538, 824, 2127, 540, 2069, 899, 25689, 267, 2852, 5232, 543, 1908, 326, 5573, 8013, 5026, 563, 17138, 26577, 814, 5280, 3337, 519, 2729, 540, 9845, 1256, 538, 938, 1378, 2146, 269, 898, 729, 2907, 1818, 606, 1764, 593, 2069, 950, 674, 26743, 650, 5303, 4400, 3427, 630, 293, 26743, 650, 15306, 264, 729, 8547, 2094, 7170, 26577, 729, 513, 851, 540, 4259, 909, 519, 1153, 689, 519, 1360, 4098, 563, 2691, 4280, 827, 519, 1764, 540, 7170, 26577, 593, 674, 26743, 650, 15306, 267, 519, 1699, 18942, 8689, 267, 11918, 531, 9466, 1767, 267, 968, 15290, 519, 1982, 729, 1305, 909, 5722, 1296, 3516, 676, 25867, 15608, 645, 13960, 267, 519, 18942, 8689, 693, 519, 942, 14667, 21862, 839, 543, 7170, 26577, 4717, 13541, 267, 11518, 16026, 267, 621, 729, 2944, 538, 519, 1318, 1259, 1848, 674, 26743, 650, 15306, 729, 26752, 2614, 547, 581, 3710, 609, 713, 607, 513, 5748, 267, 2705, 972, 941, 930, 3506, 538, 20764, 3120, 602, 1131, 723, 547, 1995, 1689, 1317, 540, 621, 563, 298, 541, 4471, 5516, 344, 267, 519, 1699, 18942, 23122, 585, 674, 26743, 650, 15306, 6941, 267, 968, 933, 3710, 938, 1982, 538, 13076, 609, 7170, 26577, 269, 594, 1589, 4440, 519, 824, 3506, 538, 519, 8664, 945, 723, 1044, 1930, 3476, 949, 723, 1500, 930, 11941, 936, 519, 1296, 855, 649, 941, 2111, 547, 1305, 909, 538, 13076, 609, 7170, 26577, 1848, 1703, 568, 1100, 8969, 602, 7170, 26577, 814, 1185, 513, 2101, 1764, 593, 2875, 9845, 538, 20764, 3120, 269, 769, 519, 2250, 267, 972, 941, 1360, 1906, 3255, 585, 6690, 685, 7619, 923, 269, 968, 7069, 3993, 21783, 689, 1164, 1153, 538, 476, 3422, 279, 689, 11370, 6511, 4400, 1153, 543, 594, 3314, 2348, 7391, 609, 1200, 543, 1200, 4743, 2186, 540, 13581, 539, 1317, 2021, 1175, 4769, 1406, 723, 3255, 1394, 538, 1346, 2053, 2223, 6045, 9466, 563, 2108, 9515, 729, 1360, 18942, 267, 855, 1200, 1152, 17752, 729, 17869, 18490, 269, 769, 7487, 1141, 649, 616, 693, 1631, 538, 476, 1708, 271, 543, 7487, 782, 519, 3255, 2523, 693, 674, 26743, 650, 1496, 24728, 316, 594, 1175, 12837, 543, 594, 917, 1250, 3158, 568, 32127, 689, 909, 538, 13140, 538, 7487, 602, 1352, 666, 1294, 1762, 21031, 14526, 538, 18942, 2621, 3034, 12552, 547, 7170, 26577, 267, 1053, 1631, 723, 811, 3160, 3255, 547, 8011, 538, 5026, 543, 824, 3344, 540, 2069, 269, 968, 2171, 616, 2731, 10583, 540, 1018, 649, 3710, 1934, 269, 1879, 519, 1982, 729, 1373, 1500, 267, 519, 942, 729, 2731, 3144, 547, 1118, 2386, 972, 729, 3160, 1569, 2223, 3081, 5516, 344, 269, 7170, 26577, 5170, 547, 3142, 3255, 547, 3506, 2429, 519, 2197, 269, 12140, 666, 1631, 1628, 1055, 540, 1018, 621, 6763, 585, 543, 1711, 513, 811, 12581, 1982, 585, 741, 1053, 269, 0, 24145, 2329, 538, 2296, 267, 609, 570, 16492, 6931, 2917, 7304, 747, 1841, 517, 454, 1607, 2407, 1554, 13186, 786, 2263, 1883, 3344, 540, 7924, 27380, 543, 1683, 3610, 609, 513, 2039, 540, 2994, 547, 1489, 1053, 538, 13012, 476, 280, 268, 1724, 609, 741, 7924, 2115, 538, 519, 2296, 6437, 269, 634, 13186, 786, 1445, 593, 6863, 11601, 267, 2542, 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 ]
[ 7742, 27587, 610, 12854, 1053, 543, 476, 5611, 6024, 2866, 1053, 269, 634, 1382, 543, 3450, 5234, 12523, 476, 6344, 7606, 563, 763, 2866, 540, 519, 1053, 568, 22555, 538, 476, 277, 3450, 13623, 912, 1892, 14825, 18267, 543, 29790, 454, 1892, 8950, 3163, 543, 9119, 454, 1892, 29079, 23317, 543, 18868, 454, 1892, 32492, 23305, 23317, 454, 1892, 13870, 5071, 543, 11633, 7010, 4886, 454, 1892, 14579, 4654, 8257, 454, 7628, 519, 1101, 1079, 1296, 540, 2866, 267, 519, 1053, 616, 19882, 538, 513, 2189, 1455, 4295, 3450, 1982, 269, 1280, 519, 3791, 543, 2063, 1032, 519, 1053, 723, 547, 3442, 513, 11683, 538, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 23317, 1315, 10281, 16967, 3428, 923, 1315, 11370, 1195, 3599, 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, 8693, 7827, 281, 589, 12213, 667, 633, 883, 6820, 654, 9879, 543, 15346, 532, 12367, 692, 7072, 912, 20458, 1689, 568, 513, 1950, 7613, 602, 5540, 1169, 2460, 540, 938, 4541, 781, 5117, 269, 2755, 930, 8044, 602, 519, 3047, 568, 7680, 2518, 8337, 1813, 547, 1480, 2238, 267, 1866, 3409, 602, 519, 4541, 568, 18460, 2518, 9023, 269, 901, 1770, 786, 2263, 1312, 5380, 267, 6313, 519, 2963, 543, 4831, 1173, 3701, 4843, 676, 3744, 543, 14519, 7567, 269, 1284, 786, 2253, 676, 10747, 2916, 1689, 543, 922, 3123, 1354, 18167, 883, 519, 7521, 4478, 2518, 8337, 543, 2518, 9023, 269, 1635, 519, 1439, 540, 713, 1770, 267, 1053, 786, 723, 513, 4514, 1620, 540, 519, 3621, 267, 2797, 267, 543, 2804, 2188, 12018, 5717, 827, 2916, 1689, 780, 4089, 476, 272, 281, 1548, 568, 8693, 7827, 2496, 2414, 1174, 2916, 1689, 267, 649, 1590, 1101, 5581, 1018, 621, 1797, 269, 2311, 922, 4295, 267, 2916, 1689, 4016, 547, 1022, 1713, 2242, 538, 2837, 267, 13247, 267, 2842, 3270, 267, 610, 824, 4365, 9259, 936, 942, 269, 1452, 2242, 949, 2049, 7930, 610, 10393, 267, 543, 789, 666, 723, 7096, 5222, 593, 8134, 543, 1480, 7239, 269, 634, 3119, 10256, 540, 2916, 1689, 1331, 2067, 3157, 971, 607, 15027, 26706, 267, 3859, 5982, 267, 543, 20771, 7648, 267, 607, 1134, 607, 1480, 2238, 899, 8781, 8093, 10173, 267, 17717, 267, 543, 2244, 946, 2242, 780, 4089, 476, 273, 281, 6820, 654, 9879, 5288, 269, 6820, 15346, 532, 692, 17471, 8337, 543, 2518, 9023, 616, 1079, 12721, 6436, 1031, 547, 2491, 2487, 2916, 3466, 269, 4340, 547, 28288, 540, 2518, 8337, 267, 8511, 9362, 5950, 676, 1480, 2238, 15972, 3002, 538, 519, 5790, 267, 3056, 547, 8375, 5210, 543, 13621, 4672, 11503, 269, 2201, 519, 824, 1688, 267, 15156, 540, 2518, 9023, 8044, 602, 8519, 3859, 2534, 267, 2799, 15027, 26706, 267, 610, 10593, 538, 5836, 14768, 1223, 1291, 547, 16830, 5210, 543, 1256, 1776, 10979, 6520, 269, 1677, 1732, 1174, 891, 15852, 16752, 267, 1577, 721, 4983, 519, 2963, 5885, 1142, 3069, 780, 4089, 476, 274, 281, 15845, 585, 6820, 654, 9879, 692, 11045, 13024, 540, 2518, 8337, 1448, 547, 3875, 3515, 540, 2963, 950, 1818, 741, 2013, 269, 3689, 267, 789, 4063, 602, 3328, 2518, 5210, 723, 24111, 20406, 936, 519, 2250, 2540, 267, 609, 519, 3636, 652, 5756, 9648, 1369, 519, 2063, 1906, 5756, 269, 3958, 267, 22260, 1472, 519, 1158, 723, 1427, 8972, 3648, 267, 1247, 4262, 2157, 723, 849, 24111, 269, 7053, 267, 1082, 3665, 4365, 2621, 267, 1519, 24377, 267, 26221, 267, 543, 3002, 30335, 267, 723, 1831, 811, 7928, 543, 7920, 538, 2487, 1296, 269, 2353, 540, 891, 7422, 2303, 602, 519, 3047, 781, 2916, 568, 8197, 8337, 267, 609, 5732, 29070, 4539, 585, 1312, 3425, 543, 7320, 780, 4089, 476, 275, 281, 22388, 1173, 3701, 547, 6820, 654, 9879, 692, 8601, 519, 8903, 2963, 4843, 676, 18793, 540, 2518, 8337, 267, 16002, 923, 2709, 1896, 4831, 1173, 3701, 269, 1280, 3236, 267, 789, 4063, 602, 519, 3047, 781, 2916, 814, 2141, 11385, 730, 2429, 1686, 267, 609, 5712, 540, 14246, 4553, 676, 9023, 3466, 269, 5015, 267, 789, 8044, 602, 3859, 2534, 543, 17184, 12345, 1404, 513, 2484, 3152, 1909, 538, 8159, 2518, 5210, 982, 5892, 5156, 269, 2368, 1256, 979, 865, 2484, 607, 547, 7682, 602, 519, 3003, 1523, 540, 27643, 2916, 1689, 568, 4986, 811, 982, 513, 11876, 1314, 10419, 3603, 676, 6067, 9037, 14761, 543, 18348, 3744, 5275, 1379, 543, 2724, 269, 1717, 267, 1034, 4966, 3858, 602, 519, 11566, 13618, 1851, 6172, 520, 5505, 7028, 519, 2856, 602, 1480, 2238, 3565, 3648, 547, 4207, 2916, 1689, 780, 4089, 476, 276, 281, 10765, 5525, 543, 7464, 21509, 6201, 692, 13146, 1382, 5170, 547, 8774, 1769, 593, 519, 6946, 2078, 1063, 1480, 2238, 543, 2916, 1689, 269, 2290, 8037, 1353, 3370, 538, 519, 4760, 7186, 1336, 602, 3327, 5434, 689, 555, 1177, 532, 7989, 2378, 15543, 1223, 5595, 3105, 9193, 267, 12615, 908, 2518, 8337, 543, 17116, 3646, 547, 11574, 922, 2360, 269, 11531, 267, 1483, 3734, 1806, 32736, 540, 875, 2916, 1689, 568, 2907, 18363, 1480, 2950, 269, 3245, 14042, 23967, 538, 4993, 547, 21472, 17160, 538, 24131, 267, 7977, 267, 519, 4191, 540, 513, 4657, 2916, 616, 4742, 5051, 2352, 547, 11716, 780, 6962, 1384, 2026, 713, 1770, 814, 3254, 267, 519, 7521, 4478, 2518, 8337, 543, 2518, 9023, 3788, 1543, 1190, 543, 1950, 269, 2755, 28288, 540, 2518, 8337, 1459, 10388, 2963, 16046, 1480, 2238, 547, 8375, 5210, 267, 16002, 923, 6318, 4570, 4145, 3823, 2067, 2916, 13260, 543, 1761, 12886, 1369, 519, 3621, 2146, 269, 11086, 267, 1152, 998, 4797, 1382, 267, 5188, 267, 543, 5698, 666, 649, 4126, 547, 4628, 10146, 519, 4229, 6117, 2916, 1689, 543, 28433, 2500, 2994, 585, 5466, 922, 2591, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 1250, 824, 4930, 593, 865, 10777, 812, 13402, 2518, 8337, 594, 4076, 5059, 1250, 9880, 540, 2518, 8337, 5631, 593, 519, 2797, 543, 2883, 18144, 3297, 519, 2518, 8337, 15372, 1235, 269, 769, 713, 2376, 594, 2490, 1250, 3007, 547, 519, 2257, 540, 2518, 8337, 267, 799, 666, 1631, 581, 811, 8308, 1572, 519, 2257, 540, 2518, 9023, 267, 2094, 602, 568, 2965, 1018, 814, 1044, 8345, 585, 519, 2063, 8717, 267, 543, 568, 2693, 547, 3136, 547, 4755, 585, 1896, 1296, 563, 296, 2965, 1745, 2186, 540, 25064, 1603, 713, 2376, 267, 607, 621, 1058, 581, 6654, 547, 3025, 602, 2518, 8337, 568, 513, 11861, 267, 1759, 593, 513, 1360, 4411, 2063, 5162, 267, 543, 513, 5162, 1318, 1631, 602, 568, 2693, 547, 581, 519, 4411, 652, 538, 476, 1911, 1296, 630, 5408, 2630, 585, 811, 593, 602, 1040, 1809, 594, 993, 25997, 547, 2328, 1317, 267, 5863, 569, 267, 972, 616, 1869, 1004, 538, 519, 1158, 945, 3494, 630, 528, 693, 2547, 1616, 596, 547, 3494, 264, 602, 2518, 8337, 568, 513, 3978, 1966, 14053, 27290, 543, 1951, 935, 1014, 23833, 543, 30997, 3800, 563, 763, 715, 4753, 292, 11657, 2829, 281, 968, 2171, 723, 1831, 5051, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 3163, 1299, 7186, 1315, 7025, 3163, 1299, 23270, 338, 1315, 19889, 4149, 2448, 338, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 3690, 325, 4288, 7304, 601, 730, 26590, 25016, 28864, 630, 15045, 3201, 296, 264, 1369, 519, 12745, 540, 10552, 3690, 325, 4288, 6925, 692, 7072, 912, 26108, 13816, 16272, 616, 1898, 2564, 5773, 602, 4688, 9118, 2729, 1169, 1032, 269, 1717, 267, 899, 1022, 824, 2564, 6304, 267, 789, 4163, 4220, 269, 2290, 971, 1981, 568, 519, 1646, 540, 3690, 325, 4288, 7304, 601, 730, 26590, 25016, 28864, 630, 15045, 3201, 296, 1040, 901, 3184, 786, 5490, 883, 519, 14960, 540, 13138, 3201, 296, 267, 922, 10368, 7355, 267, 2619, 30986, 267, 4791, 6881, 267, 543, 2359, 2994, 269, 5015, 267, 621, 786, 2263, 519, 1909, 540, 3782, 4648, 267, 3226, 22104, 5505, 543, 13816, 4288, 12665, 267, 538, 23235, 543, 5883, 713, 5732, 1272, 18446, 28658, 780, 4089, 476, 272, 281, 20223, 13138, 3201, 296, 543, 4706, 26616, 595, 20975, 692, 15045, 3201, 296, 568, 513, 1106, 540, 1875, 2275, 31651, 8328, 17422, 30046, 3361, 676, 1973, 1587, 13816, 4288, 269, 898, 666, 581, 4101, 547, 13209, 1813, 547, 20718, 2589, 609, 824, 7929, 2175, 269, 1677, 2232, 713, 4161, 267, 513, 8225, 13618, 8470, 6069, 4808, 547, 30387, 2665, 883, 1614, 3982, 2516, 1759, 593, 741, 10171, 540, 1373, 13138, 3201, 296, 1384, 272, 269, 2878, 15045, 3201, 296, 4995, 1452, 2665, 2743, 782, 2185, 540, 519, 1739, 7355, 912, 453, 265, 26590, 12614, 540, 7988, 335, 12795, 267, 3834, 2135, 8598, 267, 543, 24845, 1566, 659, 885, 593, 9221, 9196, 1282, 610, 1369, 3670, 3108, 1310, 12032, 540, 513, 13816, 4288, 563, 453, 265, 3143, 2963, 540, 2451, 693, 7434, 13119, 630, 6369, 295, 1916, 453, 265, 12559, 775, 540, 8611, 610, 3968, 563, 453, 265, 17240, 14004, 30046, 5714, 2982, 2318, 2164, 950, 7318, 1996, 6120, 5268, 2812, 1210, 2901, 513, 7898, 514, 22368, 610, 2095, 11118, 5852, 563, 273, 269, 2878, 303, 6372, 13138, 3201, 296, 4995, 27418, 602, 798, 711, 11886, 782, 540, 519, 7453, 13138, 3201, 296, 7355, 2943, 1869, 723, 2178, 27421, 540, 13138, 3201, 296, 1759, 593, 4791, 10385, 949, 2887, 896, 713, 7121, 269, 1280, 1383, 267, 2550, 945, 8858, 4191, 540, 15829, 295, 5103, 2348, 1100, 7805, 2014, 949, 4309, 713, 8760, 563, 274, 269, 2878, 8253, 13138, 3201, 296, 4995, 1403, 972, 568, 1776, 811, 2693, 7778, 585, 519, 3461, 781, 2589, 267, 1287, 519, 2013, 1131, 711, 20618, 607, 13138, 3201, 296, 269, 6201, 1522, 1331, 6315, 8328, 17422, 30046, 267, 25687, 267, 610, 12615, 566, 540, 5312, 30126, 17422, 2068, 630, 4596, 11520, 6393, 4089, 476, 273, 281, 11202, 641, 2380, 5735, 540, 13138, 3201, 296, 692, 10521, 3119, 6127, 3565, 547, 3384, 13138, 3201, 296, 281, 17193, 24975, 4761, 3210, 543, 1979, 24899, 6312, 2225, 2152, 1063, 20033, 543, 18579, 3334, 269, 25095, 1328, 24975, 6547, 4125, 4550, 6122, 4157, 22889, 12489, 1459, 538, 519, 20033, 11919, 13389, 1480, 32151, 22889, 26898, 630, 30045, 2026, 264, 1336, 593, 519, 18579, 781, 3043, 1973, 2281, 269, 4437, 24899, 6312, 2225, 2042, 8451, 950, 26307, 267, 6915, 5562, 6675, 267, 610, 1147, 2399, 1218, 8659, 538, 6740, 1973, 2472, 16578, 6553, 543, 7766, 31479, 24694, 2390, 30376, 780, 4089, 476, 274, 281, 11916, 19809, 543, 5004, 11150, 692, 30535, 7680, 13138, 3201, 296, 3335, 4159, 6727, 26032, 540, 7362, 267, 11522, 267, 512, 778, 2988, 12795, 267, 19826, 2670, 267, 543, 8389, 20321, 838, 583, 636, 269, 27488, 25294, 2157, 6749, 6385, 267, 8506, 7525, 29433, 5135, 3797, 269, 30446, 2473, 11920, 8761, 27556, 24845, 31276, 6897, 22467, 6233, 5812, 609, 17422, 30046, 269, 9615, 5097, 6212, 593, 11215, 1416, 267, 1519, 5887, 559, 1807, 1489, 952, 2556, 269, 4107, 11932, 267, 19944, 5224, 2417, 13816, 16272, 3788, 2629, 2394, 4244, 3123, 585, 519, 7929, 11605, 616, 12199, 856, 780, 4089, 476, 275, 281, 10020, 540, 16195, 28968, 538, 16473, 532, 543, 19737, 13138, 3201, 296, 692, 10890, 3249, 7426, 1404, 513, 11358, 1909, 538, 10893, 13138, 3201, 296, 11841, 998, 11826, 840, 20675, 325, 4288, 9584, 3157, 267, 22111, 5638, 5826, 267, 543, 5401, 6284, 540, 2038, 9963, 4191, 269, 20985, 3646, 1851, 13500, 267, 11923, 267, 8047, 1099, 5505 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 1239, 8675, 568, 513, 6538, 3758, 602, 3568, 519, 2012, 267, 1826, 267, 2039, 540, 2418, 267, 2707, 267, 543, 28431, 585, 1569, 585, 1142, 1239, 3693, 538, 513, 6538, 269, 898, 849, 6920, 799, 3498, 3292, 946, 602, 1239, 865, 602, 950, 513, 1239, 2497, 568, 14719, 730, 267, 513, 1592, 540, 4299, 3292, 666, 581, 6383, 269, 634, 1239, 8675, 949, 581, 513, 1796, 17038, 821, 1344, 1062, 1031, 585, 2359, 610, 12319, 5301, 267, 610, 621, 949, 1852, 519, 5106, 540, 513, 6538, 563, 1607, 1344, 949, 1331, 912, 328, 269, 32011, 10503, 519, 1239, 6221, 30778, 3259, 267, 1239, 1826, 543, 2039, 563, 4512, 269, 22384, 540, 519, 2707, 6054, 1031, 547, 1711, 519, 1239, 6221, 563, 13839, 269, 18780, 540, 519, 2780, 6119, 602, 4558, 519, 1239, 6221, 563, 643, 269, 18780, 540, 519, 2780, 3292, 602, 12189, 519, 1239, 6221, 563, 341, 269, 634, 3961, 540, 519, 2780, 3292, 610, 2043, 15868, 547, 1569, 519, 1239, 6221, 585, 519, 3483, 540, 3758, 5826, 267, 909, 18141, 610, 14374, 563, 12858, 269, 634, 3961, 540, 519, 2780, 3292, 610, 2043, 711, 15868, 547, 1569, 519, 1239, 6221, 563, 288, 1239, 8675, 568, 513, 2780, 3758, 602, 3568, 10855, 1344, 827, 519, 1239, 3688, 538, 519, 6119, 540, 513, 1870, 1344, 1062, 269, 4935, 267, 513, 1239, 8675, 568, 513, 2780, 3758, 827, 1239, 269, 3962, 2780, 2594, 540, 513, 1239, 8675, 3568, 1344, 827, 513, 2582, 1239, 6221, 1031, 538, 513, 1870, 1344, 1062, 269, 901, 1344, 949, 1331, 912, 272, 269, 32011, 10503, 519, 1239, 6221, 30778, 3259, 630, 514, 3197, 1070, 1239, 1826, 630, 19563, 12185, 267, 25948, 2676, 19563, 534, 10179, 545, 267, 3092, 264, 543, 2039, 630, 324, 3052, 269, 2418, 689, 476, 272, 547, 476, 4200, 585, 513, 8257, 3009, 994, 273, 269, 634, 3961, 540, 519, 2707, 3561, 4433, 264, 1031, 547, 1711, 519, 1239, 6221, 563, 274, 269, 634, 4408, 540, 519, 2780, 6119, 602, 4558, 519, 1239, 6221, 563, 275, 269, 634, 4408, 540, 519, 2780, 3292, 602, 12189, 519, 1239, 6221, 563, 276, 269, 634, 3961, 540, 519, 2780, 3292, 610, 2043, 15868, 547, 1569, 519, 1239, 6221, 585, 519, 3483, 540, 3758, 5826, 267, 909, 18141, 267, 610, 14374, 563, 277, 269, 634, 3961, 540, 519, 2780, 3292, 610, 2043, 711, 15868, 547, 1569, 519, 1239, 6221, 563, 2026, 1007, 1239, 4610, 616, 3773, 547, 519, 2594, 2497, 540, 513, 1870, 3758, 630, 324, 3052, 1421, 4946, 513, 722, 501, 516, 4650, 7274, 8072, 19429, 547, 519, 11891, 2594, 1070, 1344, 827, 1142, 1007, 1239, 6221, 568, 1031, 547, 1711, 513, 1007, 2780, 2594, 538, 519, 1239, 8675, 269, 6684, 267, 950, 1007, 2780, 3292, 616, 2813, 1346, 1569, 1239, 3688, 538, 4540, 6119, 267, 519, 1239, 8675, 568, 8242, 547, 5815, 519, 1239, 6221, 891, 1007, 3292, 1569, 269, 7053, 267, 950, 1239, 19429, 616, 25216, 689, 519, 2497, 540, 3758, 5638, 267, 741, 7222, 5638, 538, 519, 1239, 8675, 616, 12628, 563, 10574, 21594, 723, 513, 3099, 540, 3096, 269, 2290, 568, 607, 513, 12319, 5351, 547, 23501, 543, 1062, 19767, 267, 945, 1353, 267, 2953, 267, 610, 3986, 2901, 519, 6538, 610, 519, 2780, 3292, 602, 1569, 621, 269, 589, 1239, 8675, 568, 849, 3730, 585, 3758, 3354, 1107, 1775, 4318, 1421, 547, 10238, 527, 1978, 5520, 689, 11543, 1569, 547, 6213, 2628, 2651, 1239, 563, 28398, 1218, 543, 2912, 6002, 666, 849, 1118, 1434, 946, 540, 1239, 8675, 269, 1280, 1383, 267, 513, 1239, 8675, 666, 948, 3715, 606, 20894, 13009, 1317, 621, 666, 2697, 519, 3403, 2959, 540, 1239, 3688, 267, 519, 2780, 3292, 602, 12189, 1880, 1239, 3688, 267, 543, 519, 31707, 5359, 593, 799, 519, 1239, 3688, 616, 3977, 269, 1879, 606, 2272, 656, 568, 10283, 538, 519, 1374, 540, 513, 1007, 1062, 267, 513, 1239, 8675, 666, 849, 581, 1031, 547, 1544, 519, 2095, 540, 11834, 1239, 998, 519, 1062, 563, 7661, 267, 513, 1239, 8675, 666, 4196, 607, 606, 1271, 5351, 950, 14236, 610, 25643, 4835, 1852, 5773, 269, 901, 568, 1317, 519, 3877, 827, 12575, 4255, 267, 1505, 540, 3758, 3354, 267, 543, 2147, 1344, 666, 581, 6740, 538, 519, 8675, 269, 0, 305, 8960, 4386, 950, 513, 7504, 610, 824, 1226, 710, 968, 1056, 338, 909, 892, 593, 922, 12042, 7953, 609, 519, 2062, 5586, 338, 1055, 519, 2666, 269, 681, 8960, 949, 581, 5532, 547, 19225, 267, 14699, 267, 10761, 267, 27136, 17171, 267, 1875, 4810, 31115, 267, 610, 1928, 563, 3963, 798, 10896, 9640, 15493, 888, 4263, 930, 1448, 538, 922, 2866, 267, 1945, 786, 1376, 548, 610, 19225, 523, 606, 17615, 267, 2699, 1973, 539, 4816, 7504, 543, 646, 786, 15493, 610, 7485, 1394, 610, 2196, 2427, 1811, 1247, 519, 26519, 568, 3056, 1864, 269, 2107, 646, 949, 7914, 1472, 1175, 1317, 646, 779, 1762, 543, 646, 779, 4743, 1434, 563, 12663, 513, 17063, 1524, 1832, 513, 7504, 689, 556, 2130, 888, 307, 773, 17498, 616, 3730, 538, 27185, 11238, 2469, 689, 1402, 4771, 909, 519, 2212, 547, 1166, 6235, 936, 269, 1358, 6157, 798, 711, 14867, 519, 17140, 602, 2014, 519, 2623, 269, 1809, 950, 602, 2565, 4090, 4386, 267, 972, 4465, 1406, 581, 1454, 556, 2130, 563, 1432, 1281, 621, 1611, 950, 513, 7504, 7140, 1010, 1394, 593, 596, 888, 2662, 7241, 513, 7504, 2853, 267, 646, 4991, 1434, 693, 269, 1403, 646, 2853, 7432, 1010, 15493, 1439, 4724, 596, 267, 646, 4991, 1434, 693, 602, 269, 1403, 646, 2853, 1373, 16614, 543, 2141, 7432, 547, 3068, 596, 267, 646, 4991, 1434, 693, 602, 269, 3371, 779, 513, 2370, 6031, 594, 723, 593, 519, 2339, 281, 968, 2691, 513, 7504, 1281, 1945, 2899, 267, 621, 2371, 513, 6079, 538, 1010, 2247, 563, 3963, 6496, 3733, 21696, 5279, 693, 803, 888, 295, 8503, 616, 23636, 2831, 269, 1358, 654, 19611, 547, 1491, 513, 6205, 269, 1879, 968, 14765, 1441, 892, 609, 596, 267, 707, 7504, 814, 4956, 547, 2285, 1010, 1379, 547, 596, 269, 2560, 1403, 596, 723, 513, 3226, 8789, 7504, 267, 596, 949, 2196, 883, 513, 12123, 7504, 950, 596, 2307, 1200, 547, 798, 1945, 1352, 3085, 1406, 1616, 547, 798, 563, 3963, 798, 9640, 16212, 23651, 888, 295, 16017, 16212, 27492, 7063, 3335, 2049, 950, 513, 7504, 27605, 1394, 10393, 543, 7959, 1010, 2212, 1964, 11712, 269, 634, 3152, 519, 3196, 1964, 20995, 1864, 267, 519, 811, 646, 24515, 676, 17444, 1394, 269, 3973, 267, 950, 646, 6368, 9397, 1863, 267, 646, 13733, 1394, 609, 16854, 3196, 286, 663, 1010, 11610, 949, 4163, 1864, 936, 563, 1692, 798, 594, 4001, 1250, 7504, 711, 547, 15493, 888, 299, 334, 4923, 519, 556, 1231, 563, 268, 15566, 547, 2226, 707, 17945, 593, 519, 556, 1231, 269, 769, 824, 1913, 267, 1810, 1406, 1175, 1577, 979, 610, 3138, 4923, 707, 17945, 563, 268, 32379, 707, 3946, 2509, 519, 7504, 779, 5023, 1247, 8066, 16119, 5196, 519, 556, 1231, 547, 3138, 4923, 873, 909, 563, 268, 8550, 7485, 1394, 950, 519, 7504, 6238, 547, 15493, 563, 4692, 562, 6260, 538, 9640, 581, 23174, 888, 763, 2626, 547, 16069, 513, 7504, 562, 6260, 568, 1086, 2700, 267, 596, 616, 15069, 14964, 1864, 998, 621, 2907, 267, 1175, 1832, 3257, 1018, 596, 616, 3257, 543, 646, 786, 4166, 3247, 3843, 563, 19675, 594, 946, 513, 17063, 1524, 593, 1250, 7504, 888, 27165, 8292, 281, 968, 288, 17063, 16365, 8952, 519, 7504, 779, 2212, 1524, 543, 856, 540, 519, 1259, 543, 3947, 1864, 1945, 547, 25231, 1996, 950, 646, 13515, 2223, 3081, 18724, 7615, 269, 2560, 5221, 513, 7504, 3096, 1010, 8405, 585, 3666, 267, 513, 17063, 16365, 666, 2061, 1864, 689, 1036, 8724, 4503, 3666, 543, 3976, 2014, 20739, 4242, 269, 32130, 15385, 12535, 609, 17063, 1673, 12495, 723, 546, 27547, 563, 3963, 946, 513, 6742, 532, 1446, 593, 513, 7504, 888, 288, 12004, 532, 1446, 568, 1022, 540, 1896, 6272, 540, 8214, 602, 616, 1031, 593, 9640, 547, 1852, 2212, 31566, 269, 2560, 1879, 513, 7504, 779, 2212, 4991, 1657, 513, 5551, 4463, 267, 519, 12004, 532, 1446, 4025, 2604, 593, 519, 2212, 865, 602, 621, 3587, 811, 2352, 610, 7543, 547, 6318, 621, 2362, 269, 0, 2304, 10532, 540, 519, 6129, 454, 1015, 628, 5181, 267, 476, 1708, 272, 17323, 454, 11514, 25068, 281, 3143, 14645, 26418, 618, 5497, 563, 268, 4095, 12207, 267, 2059, 609, 3486, 3523, 2209, 267, 723, 6027, 519, 6419, 2361, 540, 606, 20349, 689, 519, 6129, 781, 5790, 630, 2421, 11287, 519, 4617, 8143, 5925, 12998, 2404, 609, 519, 30192, 11919, 585, 519, 1101, 942, 1070, 5356, 513, 4686, 32708, 547, 519, 9703, 540, 519, 6129, 563, 268, 634, 1353, 540, 519, 7613, 8345, 538, 519, 6129, 781, 5790, 610, 519, 3859, 1351, 7431, 2488, 4030, 883, 519, 6418, 25029, 540, 519, 6129, 563, 268, 12005, 540, 519, 6129, 609, 2759, 268, 12537, 6712, 6029, 519, 3859, 9703, 609, 1257, 11673, 540, 519, 4525, 607, 5205, 630, 5228, 6418, 2173, 739, 547, 9018, 2173, 739, 2187, 268, 634, 6129, 781, 11759, 910, 6052, 568, 6383, 3842, 22243, 3000, 13086, 6547, 2870, 3665, 5210, 2620, 1369, 519, 6129, 781, 4295, 563, 268, 634, 7101, 14306, 18630, 910, 6052, 7575, 7444, 21286, 267, 2921, 811, 982, 476, 10204, 267, 1822, 1296, 547, 2234, 5573, 998, 713, 4494, 540, 519, 6129, 563, 268, 634, 1230, 557, 794, 18630, 910, 6052, 5170, 547, 1847, 4724, 519, 2627, 998, 28681, 14768, 540, 519, 12699, 543, 22799, 3154, 563, 268, 634, 26537, 14459, 910, 901, 5266, 6094, 4494, 540, 519, 6129, 568, 9380, 539, 676, 6419, 2361, 3515, 602, 1964, 1778, 519, 30788, 9901, 3859, 11919, 269, 12769, 31531, 3677, 11919, 2934, 267, 1572, 17110, 1878, 267, 1106, 543, 8831, 2484, 883, 519, 1360, 4557, 6681, 543, 3905, 1351, 7431, 267, 3006, 30275, 532, 1570, 2476, 689, 519, 6129, 563, 268, 634, 4856, 7431, 910, 634, 9357, 1242, 2609, 1369, 519, 1351, 7431, 630, 528, 3859, 5790, 264, 16657, 538, 519, 1535, 11920, 543, 3665, 22292, 20966, 269, 8331, 7405, 666, 3239, 519, 6129, 781, 1351, 7431, 693, 891, 2362, 19367, 2094, 519, 2584, 14459, 568, 3833, 3897, 538, 713, 15423, 563, 268, 4856, 4689, 20837, 619, 910, 634, 21286, 13576, 11919, 540, 519, 1351, 7431, 568, 8032, 676, 6419, 2361, 3515, 883, 7148, 1229, 3029, 1572, 1351, 4689, 6908, 619, 267, 799, 8831, 6634, 540, 5195, 883, 2230, 269, 0, 30144, 4518, 518, 6356, 454, 291, 2607, 543, 715, 2117, 5328, 6513, 454, 2304, 6532, 538, 519, 20523, 4165, 14792, 538, 519, 4639, 28851, 269, 4706, 3854, 568, 5842, 20844, 269, 898, 568, 513, 1582, 3766, 1478, 940, 1455, 17314, 538, 9769, 609, 519, 2136, 2276, 269, 898, 729, 4362, 676, 19090, 538, 476, 14983, 274, 855, 1100, 17091, 729, 13986, 2394, 476, 5611, 279, 269, 898, 20705, 547, 8050, 2394, 524, 17660, 547, 519, 2136, 2276, 538, 476, 6245, 279, 269, 898, 2968, 513, 1455, 17314, 609, 13190, 538, 4835, 12602, 538, 476, 4198, 273, 269, 19090, 3957, 519, 6532, 5842, 20844, 585, 853, 269, 3627, 781, 4303, 267, 519, 11728, 646, 8452, 267, 543, 519, 15922, 17896, 22656, 267, 3638, 22426, 269, 634, 6532, 2968, 17896, 22656, 13166, 538, 476, 4350, 273, 269, 630, 5804, 28732, 781, 1715, 2983, 7240, 9218, 267, 476, 2735, 279, 267, 533, 7176, 278, 1299, 18740, 267, 30179, 518, 781, 9218, 540, 18780, 267, 476, 1960, 273, 267, 533, 275, 3607, 994, 293, 4157, 2313, 9874, 17437, 6452, 1211, 454, 20238, 1470, 5562, 32126, 24793, 454, 299, 18612, 267, 4396, 267, 610, 31529, 3653, 4611, 689, 5599, 540, 14599, 7626, 267, 2504, 540, 19720, 4492, 2326, 267, 19720, 5106, 267, 4393, 540, 23735, 7007, 19720, 10173, 267, 543, 1644, 4238, 267, 543, 689, 946, 540, 14599, 2326, 538, 1382, 267, 2872, 267, 543, 4915, 269, 630, 18250, 294, 3863, 6953, 650, 9218, 540, 11660, 543, 14502, 16301, 267, 476, 275, 628, 1196, 994, 310, 2432, 543, 20070, 3753, 454, 288, 10923, 1858, 540, 519, 2136, 2276, 609, 1100, 17386, 6302, 855, 16030, 27040, 17665, 267, 32720, 11908, 267, 32720, 3162, 10491, 267, 7262, 3345, 10491, 267, 9456, 17996, 267, 9456, 17906, 267, 7262, 9098, 267, 4639, 9098, 267, 7262, 15930, 267, 27623, 12425, 267, 7013, 11882, 267, 543, 7013, 1715, 3840, 563, 5319, 9871, 2664, 553, 607, 13445, 454, 2005, 568, 513, 1106, 540, 4027, 3177, 676, 1876, 269, 769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27893, 338, 540, 519, 1657, 4617, 543, 2178, 4031, 540, 1804, 2338, 616, 2864, 3238, 269, 634, 3702, 550, 540, 519, 5594, 21260, 1106, 2630, 568, 22466, 676, 519, 4617, 1876, 1657, 630, 26238, 19427, 538, 3892, 568, 22466, 676, 19427, 538, 5506, 1070, 855, 814, 513, 12863, 6169, 563, 31628, 332, 269, 2913, 2473, 272, 267, 2473, 273, 267, 2473, 274, 267, 3267, 581, 513, 5311, 540, 4351, 4632, 267, 4830, 543, 1541, 1227, 7856, 609, 1455, 1611, 13179, 2999, 3980, 508, 267, 543, 5581, 519, 9864, 2040, 10965, 28701, 2473, 272, 1341, 2473, 273, 1341, 3267, 1341, 311, 333, 269, 3973, 267, 10965, 1315, 562, 4780, 2471, 538, 3892, 547, 13179, 563, 10190, 267, 2094, 519, 8984, 1599, 540, 519, 2040, 540, 4351, 4632, 568, 519, 1587, 540, 741, 8984, 3252, 267, 519, 8984, 1599, 540, 10965, 1315, 562, 568, 454, 763, 3970, 552, 527, 19031, 568, 519, 8984, 1599, 540, 519, 3586, 4351, 4756, 13179, 267, 543, 8754, 676, 519, 700, 2946, 11803, 15364, 11532, 267, 10965, 1315, 562, 4780, 2471, 538, 3892, 547, 13179, 269, 8074, 602, 519, 6169, 540, 519, 3844, 3970, 11532, 267, 799, 6645, 721, 811, 827, 519, 19427, 540, 519, 3328, 547, 13179, 630, 15290, 519, 13065, 21566, 476, 273, 568, 13113, 1070, 5205, 513, 1360, 2147, 1935, 563, 763, 9115, 540, 713, 2376, 568, 13931, 689, 8940, 25769, 3820, 896, 519, 717, 26214, 5131, 11657, 566, 17821, 269, 8437, 1934, 547, 1294, 519, 12001, 5299, 543, 10677, 3877, 0, 17920, 674, 2969, 4959, 10691, 5990, 590, 28719, 454, 2171, 782, 917, 972, 779, 1434, 543, 3983, 8501, 269, 898, 7140, 856, 602, 972, 568, 849, 1434, 543, 3983, 3170, 563, 19669, 3170, 568, 2808, 3983, 269, 898, 568, 7856, 547, 4922, 2429, 519, 1560, 269, 1452, 7463, 2281, 568, 4558, 26307, 610, 28539, 14231, 269, 1358, 616, 3989, 538, 6689, 543, 3251, 11931, 2429, 1272, 269, 476, 1015, 260, 540, 519, 2281, 616, 17105, 1142, 1032, 269, 634, 1292, 21876, 540, 8377, 616, 519, 1297, 540, 28539, 14231, 543, 741, 7239, 563, 5472, 3170, 2281, 538, 519, 1560, 3251, 519, 1482, 267, 2094, 1007, 2281, 616, 15558, 676, 606, 3160, 2530, 540, 2281, 602, 5884, 269, 700, 3151, 2597, 607, 606, 2937, 1152, 695, 337, 3855, 519, 2527, 540, 519, 2281, 267, 799, 568, 3533, 16626, 676, 1007, 2281, 563, 2005, 779, 2182, 547, 2226, 519, 2597, 596, 6603, 1310, 513, 4227, 2732, 2094, 519, 1007, 3170, 2281, 602, 9788, 1524, 3170, 1310, 2597, 5786, 991, 547, 3533, 1332, 538, 26307, 269, 634, 28539, 14231, 1376, 547, 1332, 1472, 519, 2085, 540, 1079, 543, 9428, 7466, 607, 3728, 538, 1004, 609, 8377, 269, 898, 849, 13515, 693, 519, 2085, 540, 476, 1626, 563, 2005, 1281, 723, 922, 2640, 676, 13936, 4430, 1648, 543, 3246, 721, 609, 513, 4494, 540, 13471, 602, 8952, 721, 3636, 269, 18320, 1454, 540, 621, 2705, 5012, 547, 3978, 1072, 2042, 563, 7312, 1560, 8637, 4430, 1648, 676, 7213, 6819, 2597, 950, 596, 8532, 811, 8477, 982, 596, 946, 269, 1879, 596, 2461, 2110, 593, 1426, 543, 707, 1560, 2115, 3063, 1648, 267, 3043, 3170, 1281, 2097, 538, 13561, 563, 31342, 3170, 267, 519, 1434, 3170, 267, 6411, 899, 513, 19460, 267, 10438, 8477, 543, 10451, 3002, 269, 898, 17236, 4430, 1648, 547, 5352, 3002, 269, 898, 568, 6140, 1336, 538, 29507, 267, 11231, 538, 2370, 22836, 1472, 519, 17525, 543, 1063, 519, 13105, 19059, 269, 898, 568, 476, 276, 260, 540, 606, 10867, 779, 2698, 1560, 2527, 269, 9466, 3170, 2488, 3063, 3002, 547, 948, 9002, 2226, 741, 4295, 5210, 269, 1306, 596, 2085, 267, 596, 723, 1447, 6960, 3170, 269, 2368, 1004, 2705, 1832, 6960, 3170, 12074, 883, 15296, 563, 31342, 3170, 568, 15181, 676, 2837, 2242, 538, 519, 1604, 269, 1879, 519, 4816, 568, 4411, 267, 6960, 3170, 3533, 6238, 6721, 3002, 269, 634, 3002, 568, 6383, 676, 2370, 1648, 15327, 267, 1572, 26503, 267, 7432, 7280, 3170, 543, 824, 5567, 883, 1648, 602, 519, 1591, 666, 946, 563, 31342, 3170, 2281, 616, 14095, 609, 26503, 267, 1818, 873, 1360, 32630, 269, 1358, 616, 811, 10053, 982, 26503, 543, 3592, 782, 824, 8031, 538, 519, 1560, 269, 634, 13546, 11797, 540, 891, 26503, 1118, 873, 3407, 269, 5502, 540, 8840, 1524, 5567, 883, 1648, 602, 519, 6960, 3170, 1591, 666, 946, 267, 952, 621, 20984, 856, 1034, 540, 519, 1648, 883, 519, 1106, 540, 3002, 563, 22102, 7167, 650, 2456, 1472, 519, 2281, 2285, 519, 3170, 922, 6960, 2681, 269, 543, 3560, 519, 3002, 1648, 2429, 519, 4816, 779, 1560, 267, 4509, 519, 4816, 779, 4295, 2837, 563, 7197, 540, 938, 2597, 5786, 3292, 723, 1044, 6098, 2509, 4227, 1426, 6981, 269, 12207, 616, 1631, 3168, 585, 2081, 547, 2333, 519, 8637, 540, 707, 6960, 3170, 543, 2490, 593, 922, 10307, 547, 948, 596, 6633, 8477, 5488, 269, 1403, 596, 19334, 519, 1434, 6960, 3170, 267, 621, 786, 948, 6633, 1055, 519, 3983, 3170, 563, 2005, 9327, 1406, 1491, 1454, 607, 513, 2370, 3787, 4422, 513, 1360, 1279, 1259, 269, 4595, 476, 274, 13728, 540, 6960, 3170, 25623, 666, 6633, 909, 547, 476, 4335, 8477, 513, 1554, 269, 2353, 540, 721, 723, 1507, 5666, 540, 6960, 3170, 1472, 938, 2458, 16808, 2158, 543, 538, 938, 683, 4242, 267, 607, 2938, 896, 4620, 18767, 543, 11632, 18767, 609, 519, 6960, 9634, 6029, 909, 607, 3905, 9634, 6468, 723, 7466, 607, 1454, 607, 2367, 267, 855, 789, 1152, 723, 513, 3368, 606, 26412, 540, 6960, 3170, 269, 9466, 3170, 7106, 8986, 607, 649, 2085, 267, 543, 17324, 1004, 723, 1447, 982, 10709, 1004, 269, 898, 568, 15181, 676, 1175, 7836, 513, 2370, 942, 538, 513, 4411, 4055, 269, 22452, 547, 669, 11035, 5210, 3123, 513, 476, 1428, 2053, 2333, 538, 519, 10894, 2557, 540, 6960, 3170, 538, 513, 2635, 2937, 269, 1403, 713, 1223, 581, 15181, 621, 1131, 6633, 909, 693, 2547, 476, 280, 6550, 540, 3043, 3170, 1142, 1032, 563, 12867, 616, 3843, 547, 19334, 6960, 3170, 609, 513, 3075, 6098, 2059, 519, 6960, 3728, 10894, 11444, 269, 898, 949, 849, 581, 2009, 547, 4894, 513, 1507, 2179, 540, 513, 1268, 779, 6960, 3170, 267, 24244, 621, 538, 513, 1449, 8546, 267, 543, 13003, 621, 1394, 267, 3976, 2870, 707, 1378, 4835, 17811, 8781, 19460, 563, 22818, 1175, 7836, 811, 942, 13964, 538, 3579, 16374, 1223, 948, 269, 1403, 596, 1305, 519, 10917, 538, 707, 1753, 693, 476, 2568, 13790, 8957, 519, 6899, 476, 7761, 610, 476, 3199, 267, 596, 1522, 6336, 2597, 543, 948, 596, 3251, 2635, 1547, 1717, 267, 593, 519, 14669, 267, 621, 1522, 1175, 1118, 596, 3548, 811, 269, 589, 3075, 1522, 581, 2556, 547, 2333, 519, 10894, 2557, 849, 563, 2171, 1223, 10994, 8377, 267, 1403, 649, 1223, 3970, 519, 1297, 540, 28539, 14231, 538, 1453, 267, 610, 2569, 519, 18839, 540, 4666, 602, 2281, 609, 1007, 3283, 269, 1403, 649, 1223, 2061, 519, 2669, 540, 6960, 2281, 607, 649, 2085, 267, 610, 11214, 32543, 28558, 891, 2281, 267, 649, 1223, 849, 2061, 8377, 269, 0, 12901, 1664, 20341, 729, 2808, 547, 581, 513, 24182, 538, 1480, 1686, 269, 27603, 267, 25447, 20341, 3357, 883, 2291, 1878, 1152, 1317, 519, 19756, 543, 1216, 31259, 11149, 941, 18418, 2299, 2877, 585, 519, 1004, 547, 14974, 543, 9252, 1426, 799, 2417, 4847, 873, 547, 1491, 5413, 540, 1007, 2959, 540, 1426, 971, 607, 32729, 267, 1035, 27163, 267, 543, 21364, 5388, 563, 12901, 1664, 20341, 568, 5219, 547, 513, 1826, 540, 17375, 1570, 543, 17991, 17375, 3649, 637, 602, 2270, 10036, 950, 4646, 267, 4849, 2930, 267, 7293, 267, 543, 18195, 800, 2472, 563, 763, 2165, 968, 25447, 20341, 968, 568, 1031, 585, 513, 5650, 5473, 17375, 267, 1141, 10036, 568, 6404, 609, 824, 6886, 543, 568, 4646, 883, 3615, 267, 1519, 8043, 3622, 2808, 585, 6198, 5301, 563, 12901, 1664, 20341, 2504, 568, 513, 1184, 13296, 513, 10036, 1560, 568, 6404, 609, 824, 6886, 543, 1310, 602, 568, 2944, 513, 1880, 3337, 568, 3177, 543, 1287, 4847, 547, 3819, 563, 4415, 2527, 5663, 2553, 2348, 8719, 519, 1279, 28004, 1909, 18638, 1494, 1562, 267, 972, 616, 1869, 1896, 29048, 945, 1360, 1454, 6529, 547, 519, 2025, 543, 2757, 1826, 533, 325, 20341, 563, 15307, 28344, 618, 538, 3504, 30111, 267, 25447, 20341, 3688, 941, 16122, 2609, 540, 1187, 518, 776, 32537, 267, 8066, 3388, 689, 1426, 560, 32332, 547, 13526, 6979, 543, 796, 7666, 757, 547, 581, 1031, 538, 519, 1310, 5158, 269, 7690, 540, 20341, 538, 3127, 666, 581, 14360, 1394, 547, 519, 32665, 2085, 563, 10870, 12838, 29586, 20341, 538, 8723, 4778, 899, 2699, 267, 10538, 267, 6960, 267, 3109, 543, 8645, 5097, 15538, 540, 1114, 2010, 540, 26633, 267, 30660, 267, 543, 8043, 563, 10214, 25447, 7969, 20341, 814, 1831, 3833, 1134, 1634, 936, 519, 3003, 1158, 543, 713, 4190, 5137, 568, 7363, 1572, 20727, 565, 3821, 269, 634, 10347, 1374, 543, 3501, 13492, 2006, 5578, 568, 3743, 585, 1818, 713, 1826, 540, 7969, 1360, 2442, 563, 9336, 7853, 15109, 741, 1753, 543, 4677, 547, 581, 2027, 543, 12600, 2127, 543, 596, 11129, 547, 1413, 856, 585, 519, 1318, 1826, 540, 25447, 17428, 602, 616, 1134, 2966, 609, 9120, 23477, 543, 2059, 609, 602, 849, 4183, 519, 5207, 2298, 2326, 543, 14463, 26088, 563, 2467, 616, 1896, 8637, 602, 723, 513, 24077, 4015, 540, 25447, 20341, 543, 642, 1162, 602, 786, 6157, 3142, 856, 519, 5898, 540, 896, 26061, 2230, 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 ]
[ 7404, 6531, 540, 26300, 15362, 2339, 602, 30443, 802, 1175, 3564, 519, 927, 11340, 1021, 269, 8437, 1934, 547, 1451, 811, 827, 519, 1265, 563, 2691, 594, 2887, 18069, 693, 3781, 594, 3006, 899, 547, 4952, 1919, 602, 3136, 547, 581, 3742, 1282, 1250, 1793, 13246, 899, 513, 5172, 5757, 610, 1216, 6420, 610, 519, 3500, 11517, 1436, 540, 9370, 685, 5087, 8701, 1698, 896, 519, 5614, 3141, 269, 898, 779, 1187, 543, 9642, 569, 11121, 547, 1589, 827, 1919, 3564, 835, 779, 7525, 1158, 1547, 12344, 621, 779, 942, 594, 1039, 30576, 4526, 476, 272, 547, 602, 1592, 269, 0, 300, 870, 31231, 560, 949, 581, 519, 32399, 7823, 593, 3047, 267, 855, 602, 781, 1152, 952, 596, 2811, 7893, 689, 4262, 1377, 269, 8729, 547, 519, 22441, 540, 519, 4541, 267, 6778, 932, 574, 4011, 1794, 334, 538, 28130, 568, 519, 5207, 952, 596, 2811, 7893, 689, 519, 4099, 540, 519, 3047, 269, 769, 1249, 267, 676, 713, 1062, 267, 31231, 560, 2501, 538, 11359, 269, 630, 309, 807, 18281, 17131, 1723, 6261, 337, 9734, 994, 300, 12000, 773, 25391, 518, 628, 5174, 6033, 568, 519, 2257, 9375, 693, 4425, 532, 289, 21749, 14492, 269, 2701, 11339, 513, 10865, 6241, 585, 634, 1715, 3840, 8648, 18225, 543, 568, 519, 2278, 540, 6969, 519, 28691, 3619, 4934, 267, 513, 1433, 827, 5201, 267, 5989, 267, 543, 519, 2104, 540, 1648, 269, 1411, 666, 1265, 7395, 27932, 593, 12108, 543, 9365, 269, 0, 27735, 540, 7690, 5041, 832, 454, 288, 2178, 267, 1134, 21445, 12044, 1560, 267, 11215, 540, 519, 1153, 267, 922, 454, 974, 18291, 543, 922, 5692, 2306, 606, 1271, 9295, 547, 519, 454, 25217, 781, 8171, 543, 7145, 269, 634, 5748, 1827, 832, 786, 454, 17647, 606, 1965, 2133, 1416, 585, 519, 1153, 781, 4168, 1915, 563, 8005, 616, 789, 888, 514, 5783, 3506, 616, 1346, 12912, 676, 519, 5783, 8128, 563, 27269, 538, 29842, 534, 3506, 519, 1651, 3518, 550, 540, 519, 25110, 786, 581, 513, 454, 332, 1897, 540, 519, 12044, 1560, 267, 676, 16495, 540, 1010, 17017, 5604, 910, 713, 568, 454, 21406, 606, 608, 6815, 1470, 17294, 269, 4033, 5748, 454, 326, 4261, 832, 786, 6140, 581, 3742, 2482, 1004, 563, 5278, 540, 519, 5748, 1827, 832, 1590, 581, 3237, 540, 10453, 693, 454, 1492, 1153, 693, 519, 942, 789, 616, 9930, 3990, 267, 543, 519, 19639, 618, 540, 454, 30025, 1058, 581, 2312, 593, 945, 568, 3743, 585, 4180, 602, 454, 1492, 9930, 710, 525, 616, 3237, 269, 769, 589, 3660, 3506, 267, 972, 786, 2141, 581, 513, 454, 332, 1994, 640, 540, 5748, 1827, 832, 910, 789, 1590, 856, 15893, 782, 519, 454, 1278, 1827, 832, 1927, 676, 1079, 563, 763, 19639, 618, 540, 6554, 786, 2161, 799, 5939, 13539, 454, 13757, 519, 5539, 585, 9930, 3215, 5748, 1827, 832, 269, 898, 568, 454, 21720, 585, 972, 547, 581, 513, 7848, 540, 9930, 3215, 4703, 910, 519, 2199, 454, 13640, 5255, 658, 5783, 7027, 630, 303, 6717, 1070, 519, 4144, 665, 525, 534, 8274, 540, 4065, 2676, 1492, 25760, 2044, 543, 3006, 519, 21674, 563, 8450, 9861, 513, 17135, 0, 1103, 5245, 267, 2423, 940, 968, 27793, 28946, 1080, 892, 568, 519, 590, 258, 527, 454, 10048, 675, 1223, 6961, 6705, 685, 3327, 6666, 10800, 454, 24993, 4873, 476, 1321, 267, 476, 1001, 273, 454, 2005, 568, 513, 2484, 3956, 689, 2757, 8105, 2553, 267, 855, 10683, 6705, 616, 1373, 9415, 547, 7118, 3327, 17099, 689, 519, 8549, 6554, 676, 21006, 10800, 23226, 563, 15152, 519, 12539, 28524, 19541, 267, 519, 6554, 3081, 10683, 12696, 786, 581, 2111, 547, 7118, 3327, 17099, 952, 789, 7001, 543, 6861, 15655, 543, 824, 8511, 575, 13293, 19501, 676, 23226, 563, 293, 1301, 619, 945, 7119, 538, 519, 1982, 786, 3382, 23226, 22253, 267, 1287, 723, 519, 3903, 540, 8781, 543, 21006, 519, 9676, 3154, 267, 610, 1210, 621, 547, 4492, 4835, 13674, 9817, 547, 3132, 5201, 563, 292, 2416, 1259, 267, 789, 786, 7118, 3327, 17099, 585, 7303, 519, 3154, 689, 10024, 519, 5790, 563, 303, 580, 6705, 786, 849, 581, 2111, 547, 7118, 17099, 676, 4227, 5434, 689, 23226, 563, 288, 3327, 5491, 568, 513, 13598, 2165, 585, 1022, 911, 323, 762, 15149, 610, 11863, 8204, 519, 1318, 547, 12520, 835, 9522, 928, 540, 3327, 8166, 610, 519, 2527, 540, 1776, 8511, 3154, 609, 513, 3327, 8166, 6697, 630, 339, 4596, 273, 324, 264, 6697, 547, 835, 9522, 928, 540, 3327, 8166, 563, 3080, 968, 21666, 5491, 892, 666, 581, 4502, 689, 1269, 1015, 1107, 476, 1789, 269, 876, 829, 1770, 269, 13689, 593, 519, 2344, 267, 543, 10637, 2507, 0, 14240, 689, 22816, 5406, 776, 267, 519, 1863, 8675, 454, 268, 634, 957, 540, 10063, 1424, 1007, 2043, 31127, 454, 268, 634, 957, 540, 1818, 12215, 454, 268, 1133, 17769, 12093, 540, 713, 2376, 568, 19275, 563, 268, 589, 5299, 540, 1945, 267, 607, 538, 513, 4062, 540, 1148, 282, 513, 26134, 563, 268, 13343, 729, 10583, 540, 519, 3816, 25912, 339, 12093, 646, 11262, 563, 1492, 957, 540, 10063, 1424, 1007, 2043, 31127, 454, 16665, 2474, 3097, 10517, 3174, 535, 630, 680, 1116, 10063, 2388, 264, 0, 29605, 1031, 538, 4028, 23907, 2039, 689, 1447, 2182, 620, 29837, 23907, 630, 531, 26891, 12547, 6445, 518, 264, 547, 1360, 2182, 543, 23513, 5235, 11259, 1990, 597, 935, 807, 23907, 630, 345, 597, 935, 1756, 3623, 6510, 6445, 518, 1040, 1452, 23907, 666, 16641, 1063, 476, 18231, 271, 674, 543, 476, 17168, 271, 674, 2324, 5210, 267, 543, 723, 513, 30526, 4222, 540, 476, 5611, 24311, 829, 2113, 269, 634, 620, 29837, 17375, 1570, 568, 5393, 23513, 5235, 11259, 267, 14809, 11259, 267, 543, 814, 5140, 7344, 2773, 563, 22209, 1845, 538, 17375, 630, 1691, 994, 2421, 4937, 674, 13741, 454, 13051, 2142, 14982, 540, 12182, 17484, 3718, 4330, 547, 721, 519, 1184, 1010, 2754, 3096, 547, 3132, 4853, 17263, 17375, 30384, 269, 595, 10984, 545, 30384, 723, 1044, 1472, 585, 513, 1360, 1279, 942, 267, 855, 972, 781, 1152, 865, 1454, 596, 666, 798, 1210, 6671, 1486, 19685, 2645, 269, 2368, 22762, 1845, 3274, 3112, 581, 3812, 563, 4913, 267, 476, 274, 291, 9102, 23907, 666, 21613, 1022, 9511, 269, 1809, 835, 540, 519, 2152, 568, 602, 1034, 17375, 3157, 3100, 547, 946, 1412, 691, 17263, 262, 23907, 602, 616, 7357, 5667, 340, 3386, 585, 4702, 7400, 30384, 269, 12182, 17484, 3718, 30417, 713, 9183, 676, 1210, 1114, 17375, 2326, 269, 2142, 14982, 3081, 912, 2467, 616, 1082, 1114, 3157, 585, 476, 274, 291, 8228, 267, 855, 519, 3903, 540, 2326, 568, 1175, 607, 1271, 269, 7994, 20617, 563, 309, 807, 12182, 17484, 3718, 454, 2171, 12038, 609, 3220, 269, 9410, 5576, 20852, 523, 933, 514, 267, 945, 781, 2404, 609, 19077, 9926, 267, 513, 1007, 22341, 2754, 1759, 538, 21499, 602, 814, 1175, 2919, 513, 6216, 1007, 17375, 476, 274, 291, 17002, 267, 519, 595, 5028, 293, 629, 476, 16020, 271, 563, 1607, 26806, 13355, 3926, 568, 4481, 2966, 547, 476, 274, 291, 1820, 17375, 2326, 269, 19077, 9926, 781, 700, 13967, 2029, 16493, 27014, 676, 14578, 8666, 2275, 1005, 2898, 6106, 1369, 513, 1793, 25744, 540, 17375, 5536, 543, 513, 536, 5407, 269, 2991, 8228, 519, 1843, 568, 1287, 17991, 538, 513, 19460, 547, 6633, 856, 519, 536, 5407, 543, 25146, 519, 17375, 5536, 883, 922, 3803, 1106, 563, 763, 2164, 616, 10875, 569, 4190, 282, 789, 2154, 1100, 18138, 3564, 519, 3803, 20590, 547, 1106, 741, 5347, 267, 4494, 268, 1652, 9403, 269, 5345, 1211, 569, 519, 6111, 568, 538, 519, 476, 271, 269, 272, 7825, 2039, 267, 855, 621, 8604, 1256, 32067, 950, 6313, 930, 3732, 16493, 269, 6744, 856, 519, 1469, 593, 713, 6221, 269, 1548, 596, 666, 1405, 1294, 568, 519, 4222, 540, 713, 1570, 269, 1411, 9364, 1265, 621, 1360, 2352, 610, 1256, 7543, 547, 24807, 713, 13306, 1210, 707, 11263, 4805, 563, 763, 3926, 814, 1175, 1044, 5950, 865, 649, 616, 711, 1978, 540, 922, 3803, 3902, 267, 855, 649, 14353, 621, 786, 581, 538, 519, 24843, 1220, 267, 1822, 2039, 950, 621, 16125, 519, 1191, 28705, 2344, 563, 2252, 596, 4312, 3893, 513, 2203, 8506, 513, 12945, 1298, 9014, 540, 17375, 547, 1820, 267, 1775, 8160, 1468, 1047, 666, 1820, 621, 585, 596, 693, 513, 22485, 3902, 540, 20430, 259, 271, 269, 1240, 563, 19853, 17375, 1570, 568, 3226, 3730, 1813, 547, 922, 5347, 5920, 267, 2647, 3099, 540, 737, 3558, 344, 4778, 267, 3002, 4187, 543, 519, 1249, 602, 621, 781, 1426, 2922, 269, 1411, 666, 3132, 6198, 3688, 538, 23907, 602, 596, 3274, 3112, 538, 5068, 269, 6056, 267, 834, 291, 880, 13195, 615, 15822, 8487, 293, 629, 4472, 5622, 3988, 616, 1034, 5432, 609, 519, 2856, 540, 476, 274, 291, 8228, 5068, 267, 4496, 610, 3006, 1426, 267, 855, 875, 827, 20398, 286, 634, 1505, 540, 1818, 1455, 17375, 15839, 585, 5553, 568, 4758, 1259, 585, 606, 4603, 538, 476, 274, 291, 8228, 2679, 20398, 563, 763, 4603, 568, 1373, 5342, 676, 8490, 1635, 5052, 267, 945, 723, 2907, 2966, 1614, 6163, 540, 15839, 16493, 281, 3955, 24286, 267, 25906, 5523, 267, 26006, 18474, 543, 1945, 789, 1289, 519, 834, 311, 5174, 4459, 2668, 4256, 1505, 568, 547, 946, 513, 5277, 17375, 2011, 2604, 268, 2169, 337, 24231, 689, 513, 3044, 2123, 476, 274, 291, 17002, 630, 6518, 5654, 19035, 569, 2147, 547, 513, 645, 293, 289, 14943, 10048, 8094, 3719, 267, 596, 2307, 267, 1946, 1651, 584, 519, 17890, 17799, 476, 274, 291, 8228, 20398, 950, 789, 666, 581, 1500, 1454, 5488, 1210, 6671, 4485, 286, 634, 2626, 6013, 538, 519, 1374, 540, 519, 20398, 563, 288, 476, 274, 291, 9102, 15839, 814, 2484, 811, 4316, 585, 19782, 1190, 1374, 982, 513, 3044, 14328, 15839, 269, 634, 9102, 15839, 1223, 1331, 1950, 16538, 7252, 547, 11863, 1114, 2010, 540, 954, 24286, 610, 22441, 540, 3803, 2497, 269, 634, 4835, 2497, 540, 519, 15839, 1223, 581, 22041, 547, 3648, 2539, 519, 15839, 781, 2597, 610, 14132, 909, 519, 4222, 2838, 693, 2566, 2798, 585, 513, 1880, 1628, 563, 12663, 476, 274, 291, 9102, 20398, 5372, 6671, 4485, 286, 4347, 17802, 711, 267, 855, 519, 1523, 1223, 6338, 7357, 1007, 7463, 15839, 2010, 563, 2171, 7307, 547, 3489, 606, 12600, 5967, 609, 835, 540, 519, 1158, 781, 3056, 1820, 3173, 267, 7905, 15537, 670, 657, 9469, 269, 7905, 670, 657, 9469, 262, 1895, 814, 5063, 1044, 14236, 519, 1761, 540, 476, 274, 291, 8228, 563, 293, 629, 4472, 5622, 281, 1411, 2811, 519, 670, 1168, 27451, 13268, 731, 7905, 540, 20963, 7179, 543, 10615, 540, 519, 10418, 585, 20963, 7179, 3194, 693, 519, 2160, 540, 519, 4639, 540, 4789, 269, 2052, 596, 2995, 721, 1018, 519, 10418, 1281, 888, 3721, 1156, 670, 657, 9469, 281, 2311, 519, 10418, 585, 20963, 7179, 3194, 630, 20003, 11266, 264, 693, 519, 2160, 540, 519, 4639, 540, 4789, 267, 938, 1382, 7710, 782, 3344, 540, 1820, 543, 8228, 4066, 267, 689, 2757, 476, 866, 628, 11416, 1820, 14708, 3157, 547, 519, 1034, 909, 3562, 15082, 4066, 538, 4028, 1486, 19685, 543, 5410, 1438, 23771, 19007, 269, 2311, 519, 18435, 11266, 649, 723, 513, 2178, 15834, 2319, 799, 2882, 1820, 5159, 543, 476, 274, 291, 9858, 607, 1134, 607, 1099, 5505, 543, 4853, 12665, 267, 543, 1454, 540, 938, 1382, 3217, 4025, 693, 519, 10167, 540, 1148, 267, 2257, 543, 3860, 4066, 269, 1284, 5781, 2972, 23712, 609, 3056, 3486, 5159, 607, 1134, 607, 1164, 14482, 9592, 3549, 971, 607, 670, 1168, 27451, 13268, 731, 543, 17029, 663, 267, 609, 519, 2832, 540, 14178, 519, 2039, 540, 3860, 3156, 585, 1820, 2029, 563, 3721, 1156, 670, 657, 9469, 281, 3371, 693, 18435, 11266, 649, 723, 1044, 2324, 585, 930, 942, 593, 519, 476, 274, 291, 8228, 540, 23907, 676, 519, 8869, 1532, 5407, 1505, 630, 313, 4211, 23705, 1040, 1284, 723, 2919, 513, 1007, 476, 274, 291, 7792, 17375, 8869, 799, 568, 15095, 609, 519, 2098, 4211, 23705, 476, 274, 291, 8228, 1184, 269, 901, 1797, 602, 3615, 666, 581, 2966, 593, 2780, 267, 476, 274, 291, 9102, 267, 543, 1287, 17991, 538, 513, 29137, 543, 1350, 18968, 538, 519, 2757, 1259, 269, 634, 17375, 1570, 814, 1044, 2919, 676, 18435, 11266, 3194, 29533, 6424, 26036, 517, 267, 543, 8885, 543, 814, 1044, 31601, 543, 13931, 547, 519, 1977, 2754, 5164, 573, 529, 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 ]
[ 267, 609, 811, 2724, 1373, 6322, 693, 5885, 519, 15194, 5428, 779, 1646, 4566, 563, 763, 13319, 540, 9111, 1369, 4000, 814, 2141, 1044, 513, 2024, 539, 7029, 540, 519, 772, 2529, 1421, 609, 7368, 2566, 602, 1489, 585, 9111, 543, 8537, 10350, 814, 513, 1747, 540, 11348, 1851, 922, 4690, 543, 6278, 538, 4000, 269, 1635, 29000, 25157, 538, 519, 32278, 540, 922, 9111, 267, 519, 772, 2529, 269, 13922, 547, 2057, 10795, 17119, 1143, 543, 17740, 3599, 269, 898, 814, 1044, 3622, 7608, 7326, 538, 6115, 602, 606, 11972, 2631, 540, 21440, 543, 2797, 30886, 616, 3532, 10256, 540, 971, 17119, 1143, 563, 10702, 772, 2529, 269, 2640, 689, 4914, 5351, 547, 25157, 666, 581, 2938, 609, 519, 2208, 540, 4108, 3562, 2173, 26090, 1894, 269, 1452, 13218, 1631, 1331, 4390, 2679, 543, 2866, 538, 9381, 1216, 13178, 267, 3486, 4708, 15209, 267, 4108, 1072, 543, 19493, 3785, 269, 634, 772, 2529, 269, 4000, 16710, 267, 538, 5698, 609, 824, 772, 2529, 269, 8041, 267, 814, 6462, 519, 772, 2529, 11607, 307, 11961, 16492, 2052, 710, 24544, 5358, 267, 606, 16918, 1770, 540, 772, 2529, 269, 31654, 1682, 543, 27079, 10466, 2389, 11712, 23261, 534, 1014, 17318, 10414, 1688, 6840, 945, 960, 547, 3713, 32334, 543, 27640, 18352, 693, 25157, 779, 16788, 540, 7127, 269, 3414, 519, 694, 2017, 527, 1436, 540, 9821, 543, 10665, 267, 1312, 2477, 616, 2111, 547, 948, 1439, 713, 10363, 19338, 563, 308, 2529, 269, 11588, 689, 14579, 22707, 547, 25157, 3417, 9483, 12618, 454, 19119, 689, 5351, 666, 849, 581, 2938, 538, 24845, 2804, 1894, 267, 1034, 11932, 25157, 779, 18666, 547, 519, 772, 2529, 269, 7201, 519, 3979, 12618, 543, 31621, 2920, 267, 799, 3091, 15889, 15314, 585, 3979, 2477, 547, 3136, 741, 3646, 547, 1930, 741, 11615, 543, 1628, 1863, 6990, 267, 25157, 568, 14718, 585, 4776, 22460, 4123, 2640, 269, 1401, 7964, 616, 5097, 6694, 21113, 267, 6886, 543, 20955, 267, 1247, 20558, 689, 519, 772, 2529, 269, 1331, 3688, 971, 607, 10568, 267, 6694, 270, 10520, 1636, 3937, 267, 6464, 267, 1031, 9660, 543, 12227, 563, 1805, 3994, 4123, 1894, 1063, 519, 772, 2529, 269, 543, 25157, 723, 8507, 538, 8994, 2804, 2640, 543, 723, 2451, 1312, 2477, 1732, 1055, 269, 717, 1622, 689, 5351, 547, 25157, 676, 519, 772, 2529, 269, 616, 3573, 543, 7298, 269, 3414, 5351, 267, 25157, 814, 1044, 2111, 547, 1831, 513, 811, 1134, 25454, 2197, 543, 519, 772, 2529, 269, 814, 1044, 2111, 547, 7794, 1894, 543, 2087, 922, 2804, 543, 3354, 2990, 563, 1700, 12891, 2917, 2372, 580, 2917, 0, 4002, 713, 2985, 596, 666, 10625, 856, 811, 827, 519, 1650, 540, 7108, 559, 4169, 543, 519, 1614, 645, 8986, 563, 2791, 616, 8384, 281, 26874, 540, 4154, 559, 4169, 543, 519, 1614, 12217, 454, 2791, 666, 1224, 9478, 10496, 10849, 262, 8390, 540, 7108, 559, 4169, 543, 849, 519, 476, 274, 645, 8986, 593, 519, 5080, 17442, 299, 2317, 3896, 563, 763, 5080, 17442, 299, 2317, 3896, 5161, 540, 6266, 519, 1344, 1472, 7108, 559, 4169, 543, 519, 476, 274, 645, 8986, 267, 1519, 3877, 540, 519, 4282, 540, 519, 1650, 269, 1411, 949, 1265, 6225, 1344, 1318, 1934, 585, 1200, 7108, 559, 4169, 15415, 563, 17843, 1480, 1373, 1294, 1585, 5837, 5048, 538, 519, 20112, 559, 4169, 543, 849, 519, 476, 274, 19594, 560, 1446, 267, 7396, 2630, 616, 513, 7008, 540, 1806, 563, 13914, 827, 297, 24944, 15243, 781, 32143, 519, 7108, 559, 4169, 543, 849, 519, 1614, 645, 8986, 267, 1775, 544, 20994, 540, 891, 798, 6107, 1074, 568, 519, 1292, 5683, 3992, 1317, 602, 713, 1650, 888, 4910, 1051, 824, 1004, 781, 3959, 543, 7834, 454, 10673, 1405, 621, 568, 538, 25796, 454, 16100, 1310, 1200, 3959, 454, 2026, 3989, 538, 519, 262, 3519, 6761, 540, 18912, 8941, 262, 3296, 267, 513, 18912, 1650, 7683, 2882, 513, 1297, 540, 1271, 2609, 269, 769, 519, 1650, 519, 7108, 559, 4169, 543, 849, 519, 1614, 645, 8986, 267, 713, 1331, 912, 2710, 596, 1589, 713, 1650, 814, 2965, 513, 1390, 1915, 286, 2618, 545, 513, 1412, 16591, 1915, 262, 979, 711, 991, 547, 581, 3501, 267, 865, 1256, 1498, 7108, 559, 4169, 568, 1100, 1360, 1390, 693, 782, 1352, 17330, 547, 1869, 581, 9763, 607, 519, 899, 762, 1915, 538, 713, 9661, 563, 2710, 8004, 23136, 1589, 713, 1650, 814, 2965, 3983, 323, 625, 286, 798, 596, 1589, 621, 568, 519, 476, 274, 12217, 286, 1358, 949, 581, 9763, 607, 519, 3983, 323, 625, 2094, 789, 4250, 938, 1434, 1915, 2943, 789, 2811, 2731, 1100, 3983, 267, 789, 4312, 1175, 1185, 2965, 741, 2777, 3276, 326, 1194, 256, 2336, 24746, 13048, 3036, 16249, 8863, 2752, 16898, 8991, 4692, 596, 1589, 540, 1022, 5885, 14789, 538, 713, 1650, 888, 289, 8986, 945, 2911, 543, 849, 2661, 538, 513, 2777, 616, 513, 9589, 3693, 540, 519, 7108, 559, 4169, 1650, 563, 8450, 811, 281, 9046, 476, 1724, 281, 589, 8621, 1067, 769, 1323, 4934, 268, 8170, 6874, 2317, 623, 10730, 570, 12941, 267, 5775, 26833, 281, 589, 8621, 1067, 769, 1323, 4934, 454, 15477, 4306, 3722, 4041, 10758, 570, 3008, 298, 454, 288, 18912, 9661, 2356, 5161, 540, 606, 21677, 610, 4305, 799, 519, 14789, 1590, 10994, 642, 547, 3914, 707, 6126, 10678, 269, 1548, 14892, 596, 1589, 519, 21677, 610, 2816, 568, 538, 713, 1650, 888, 295, 4338, 303, 6579, 312, 2479, 1354, 19200, 9898, 454, 2710, 596, 1589, 713, 4528, 540, 7108, 559, 4169, 543, 519, 1614, 645, 8986, 814, 513, 25747, 2479, 1310, 10678, 888, 1432, 798, 596, 1589, 568, 519, 5837, 5048, 602, 519, 7108, 559, 4169, 543, 849, 519, 1614, 645, 8986, 1650, 286, 2638, 856, 930, 10372, 538, 519, 2451, 1688, 6241, 543, 1287, 3542, 585, 519, 5837, 799, 3659, 1589, 568, 519, 1292, 3992, 602, 713, 9661, 269, 1879, 596, 723, 2965, 20366, 267, 723, 513, 1413, 543, 1294, 1018, 824, 1158, 1589, 269, 0, 6826, 778, 7777, 5070, 568, 835, 540, 519, 2101, 2707, 540, 5230, 6886, 899, 31089, 850, 267, 19129, 5443, 924, 267, 2098, 597, 935, 543, 3933, 1794, 924, 269, 634, 9668, 1184, 3322, 519, 2168, 3601, 540, 1142, 5230, 7777, 538, 6476, 547, 519, 824, 269, 634, 2596, 2168, 3601, 2808, 538, 519, 1374, 540, 513, 9668, 2030, 585, 11824, 7777, 5070, 616, 607, 5205, 269, 476, 272, 269, 16930, 4429, 1241, 5070, 18700, 3021, 1807, 267, 4401, 5070, 18700, 3021, 1807, 269, 1325, 756, 19487, 3091, 476, 6872, 280, 4401, 5070, 18700, 3021, 1807, 2472, 269, 589, 2647, 3099, 540, 4401, 5070, 18700, 3021, 1807, 3681, 616, 2139, 547, 596, 267, 971, 607, 15549, 344, 540, 4295, 3334, 267, 1883, 9513, 2798, 267, 543, 10858, 6080, 563, 395, 484, 6344, 27818, 395, 484, 13136, 18998, 395, 484, 13679, 24724, 9943, 5611, 271, 5082, 15543, 1738, 25115, 9484, 9653, 568, 835, 540, 519, 2101, 6419, 9668, 3937, 538, 5201, 7777, 9668, 269, 898, 568, 4922, 1031, 538, 18570, 24489, 267, 1990, 597, 935, 1756, 267, 678, 583, 850, 267, 1395, 1794, 924, 267, 4401, 267, 512, 32500, 267, 21915, 531, 636, 267, 562, 328, 984, 1756, 267, 17646, 543, 824, 10475, 6886, 269, 5082, 15543, 1738, 25115, 9484, 9653, 666, 5094, 1570, 799, 4429, 763, 18700, 3492, 15249, 1101, 7902, 607, 513, 2504, 1770, 538, 476, 3707, 274, 538, 519, 1106, 540, 519, 9966, 874, 9445, 9454, 531, 267, 585, 519, 9668, 540, 669, 4435, 321, 8960, 521, 1343, 538, 14822, 269, 1635, 519, 476, 4198, 271, 781, 267, 3303, 1023, 941, 519, 3044, 3119, 6632, 8904, 9668, 1770, 538, 519, 8241, 7777, 521, 1343, 2872, 563, 294, 541, 6339, 7698, 9484, 9653, 269, 19045, 8904, 3021, 1807, 18261, 267, 9484, 9653, 3684, 267, 808, 580, 3101, 3684, 585, 9042, 269, 11635, 20957, 32322, 9484, 9653, 1223, 849, 581, 1031, 538, 21958, 5070, 4393, 543, 533, 636, 823, 5070, 9668, 267, 543, 6051, 540, 1875, 5471, 531, 2326, 971, 607, 6095, 6339, 267, 737, 12505, 924, 267, 521, 650, 27332, 924, 543, 543, 31647, 924, 8125, 3821, 9995, 14086, 9755, 8564, 476, 1708, 272, 1164, 2298, 8125, 3821, 9995, 14086, 4429, 27860, 9995, 12275, 6339, 9484, 541, 908, 9454, 531, 9484, 541, 1807, 269, 13378, 6732, 269, 5082, 15543, 1738, 3021, 1807, 585, 1990, 597, 935, 267, 678, 583, 850, 267, 6095, 6339, 19459, 267, 7348, 5082, 15543, 1738, 3021, 1807, 585, 1990, 597, 935, 267, 678, 583, 850, 267, 6095, 6339, 19459, 267, 4785, 476, 279, 2568, 271, 476, 21497, 876, 1315, 5590, 267, 1715, 267, 11905, 689, 29258, 1744, 7865, 978, 17719, 7557, 10320, 31543, 593, 1325, 756, 19487, 1547, 5663, 543, 9513, 540, 2434, 525, 7051, 11493, 4586, 294, 541, 6339, 2098, 4532, 9484, 541, 908, 9454, 531, 269, 15937, 9668, 11729, 513, 1587, 23630, 476, 4817, 6095, 6339, 6886, 799, 2356, 3568, 1447, 982, 476, 271, 476, 276, 21247, 676, 2597, 634, 3803, 2504, 1900, 568, 3819, 9584, 543, 1362, 4328, 883, 2344, 762, 7306, 1287, 11183, 585, 6455, 543, 3892, 21964, 12275, 6339, 568, 2666, 547, 513, 563, 306, 2869, 531, 8904, 3021, 1807, 585, 7777, 4393, 6588, 6143, 9668, 1184, 3021, 1807, 4401, 7626, 5599, 1544, 8904, 9668, 568, 606, 4853, 1505, 540, 19459, 1079, 3334, 267, 2901, 538, 568, 2141, 519, 1101, 7156, 538, 1022, 7777, 4393, 1982, 795, 580, 11387, 616, 1869, 13234, 538, 519, 5755, 267, 22101, 3438, 924, 267, 512, 32500, 267, 4154, 267, 536, 776, 5052, 563, 19770, 9995, 9454, 531, 9484, 541, 1807, 267, 9995, 9454, 531, 9484, 541, 1807, 13583, 20445, 1862, 11635, 9995, 12275, 6339, 9484, 541, 908, 9454, 531, 26537, 924, 7626, 18700, 3021, 1807, 6985, 924, 18700, 669, 1393, 6985, 924, 4401, 7626, 5834, 3684, 3267, 306, 2869, 531, 3021, 2209, 616, 8904, 3492, 21116, 3267, 22068, 3821, 521, 1343, 4586, 296, 5941, 707, 2243, 609, 835, 540, 1250, 1184, 9164, 538, 1931, 547, 1205, 1010, 3403, 593, 9668, 540, 4154, 689, 3109, 521, 1343, 269, 898, 666, 581, 2352, 547, 1205, 513, 1434, 9668, 607, 519, 3109, 521, 1343, 616, 3833, 10053, 269, 901, 568, 1256, 811, 7805, 950, 7231, 609, 21432, 5070, 543, 5386, 4154, 269, 594, 3494, 519, 1775, 5611, 786, 581, 14764, 547, 2196, 693, 513, 5021, 3432, 540, 476, 2004, 13703, 563, 3258, 6339, 5070, 19459, 18700, 269, 6095, 6339, 5070, 694, 1440, 2130, 2577, 10719, 604, 328, 583, 6500, 641, 22044, 517, 974, 1547, 6095, 6339, 3021, 1807, 3684, 1547, 3021, 1807, 3684, 585, 11275, 924, 5070, 3552, 613, 541, 1723, 5633, 269, 11275, 924, 7626, 8860, 3684, 609, 6419, 694, 704, 1807, 25080, 9484, 541, 1807, 1507, 3440, 1984, 32291, 12890, 1984, 1500, 538, 19580, 25080, 3021, 1807, 568, 5631, 1031, 585, 513, 3099, 540, 4617, 6419, 7626, 4401, 7626, 6095, 6339, 15183, 11275, 924, 5757, 5070, 4586, 763, 946, 540, 18700, 3021, 2209, 538, 1164, 9522, 333, 720, 6080, 971, 607, 11635, 20957, 267, 25115, 590, 1343, 543, 15021, 568, 1134, 1634, 269, 769, 930, 540, 891, 4238, 621, 568, 711, 16613, 547, 1265, 3119, 18700, 11387, 8156, 811, 982, 476, 4968, 271, 19726, 829, 5662, 609, 2147, 19206, 538, 519, 5916, 7738, 543, 25094, 27701, 5933, 563, 19770, 11635, 9995, 12275, 6339, 9484, 541, 908, 9454, 531, 9484, 541, 1807, 267, 4855, 3877, 827, 3624, 9454, 531, 9484, 541, 1807, 267, 9454, 531, 932, 1393, 689, 11635, 9995, 12275, 6339, 9484, 541, 908, 9454, 531, 9484, 541, 1807, 1547, 6095, 6339, 9668, 18700, 3684, 6095, 6339, 9668, 18700, 3684, 28237, 689, 519, 3303, 1023, 568, 513, 5230, 7777, 13404, 602, 568, 5078, 585, 3819, 1547, 540, 519, 986, 21794, 544, 563, 20225, 541, 908, 519, 1434, 689, 519, 3983, 281, 667, 1619, 23839, 9484, 9653, 269, 645, 1370, 1290, 1962, 1074, 267, 6713, 23910, 267, 5564, 1774, 322, 19007, 267, 5359, 1394, 593, 5564, 1774, 322, 781, 6075, 2866, 11925, 267, 4371, 1282, 4864, 713, 1032, 269, 3776, 3803, 6075, 2866, 13186, 585, 519, 1032, 267, 630, 339, 12822, 9484, 541, 908, 519, 6153, 689, 519, 14068, 264, 729, 4371, 12303, 593, 476, 1240, 476, 866, 4864, 476, 1708, 272, 563, 306, 2869, 531, 669, 1393, 3492, 15249, 1547, 8871, 10719, 666, 1683, 513, 2407, 2039, 540, 18700, 3492, 15249, 585, 23232, 519, 5230, 6886, 689, 782, 12320, 658, 5070, 267, 9381, 5070, 6886, 543, 3109, 6886, 269, 898, 666, 9156, 519, 3407, 7777, 971, 607, 726, 27468, 4154, 267, 1990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 15347, 543, 1058, 621, 581, 14284, 888, 2026, 811, 543, 811, 1004, 979, 15347, 6954, 267, 7189, 24633, 602, 1412, 325, 611, 262, 11326, 1223, 581, 8770, 12413, 17087, 454, 10908, 9790, 814, 1044, 606, 1898, 851, 540, 519, 1480, 2732, 585, 5215, 540, 1296, 267, 855, 606, 2810, 1297, 540, 1004, 616, 1100, 3476, 4189, 621, 607, 789, 3494, 621, 568, 14124, 741, 1072, 563, 763, 15347, 6954, 2344, 568, 1767, 547, 581, 3395, 3728, 267, 609, 519, 968, 16451, 1922, 668, 892, 17365, 2344, 4502, 811, 982, 11278, 8517, 332, 543, 4397, 547, 1332, 676, 513, 2417, 476, 2004, 260, 676, 476, 1708, 272, 267, 5359, 32695, 4825, 841, 563, 763, 3747, 585, 15347, 6954, 2472, 814, 834, 30161, 10757, 2580, 3081, 634, 26851, 269, 834, 2704, 1301, 626, 267, 1655, 18522, 2732, 2835, 723, 5532, 15347, 547, 10295, 267, 4965, 267, 12216, 781, 267, 2789, 26379, 543, 3987, 267, 1851, 1866, 2437, 621, 8591, 563, 293, 13904, 8188, 1519, 717, 342, 2106, 996, 623, 5306, 992, 267, 21651, 15867, 933, 543, 9291, 22735, 723, 782, 546, 13741, 1194, 538, 15347, 6954, 11326, 936, 519, 1296, 563, 257, 10908, 9790, 568, 547, 713, 8717, 1018, 11950, 941, 547, 519, 2063, 835, 543, 3170, 729, 547, 519, 1412, 3199, 338, 543, 1412, 3445, 338, 281, 519, 914, 324, 1100, 597, 267, 519, 3983, 7911, 267, 519, 2014, 540, 782, 602, 513, 2812, 596, 910, 543, 519, 17594, 540, 799, 666, 12115, 596, 2437, 3081, 5384, 12139, 563, 4913, 267, 7189, 24633, 891, 11326, 1419, 3668, 1898, 5567, 543, 12582, 1405, 581, 7550, 676, 3025, 269, 3816, 8221, 971, 606, 12146, 1419, 3340, 13868, 621, 609, 1945, 3116, 267, 799, 538, 930, 2665, 1797, 2921, 856, 3940, 543, 20249, 543, 4946, 4006, 543, 9770, 563, 2080, 781, 1018, 596, 991, 547, 917, 912, 1432, 568, 15347, 543, 1141, 568, 621, 1336, 888, 10908, 9790, 568, 519, 2012, 540, 519, 12432, 3940, 1459, 538, 10568, 267, 30383, 543, 24061, 543, 741, 1585, 3444, 22249, 2644, 269, 7085, 687, 540, 1004, 7985, 689, 513, 2942, 5114, 547, 15347, 267, 1519, 1346, 7092, 689, 1071, 27112, 2068, 563, 15933, 338, 602, 2270, 15347, 1331, 3694, 543, 19323, 5370, 267, 16741, 267, 18008, 535, 1845, 267, 18437, 267, 27130, 267, 27156, 543, 930, 8324, 267, 9360, 543, 6527, 269, 634, 595, 27112, 8376, 7690, 1443, 2478, 4896, 609, 15347, 22166, 547, 2638, 10297, 5402, 607, 15347, 568, 1419, 6456, 610, 1459, 538, 6397, 2081, 563, 1432, 568, 1071, 27112, 2068, 888, 10870, 27112, 2068, 568, 9444, 513, 1426, 14711, 6862, 606, 22166, 267, 855, 513, 3978, 16991, 2068, 602, 5540, 835, 538, 476, 1911, 1004, 538, 519, 5177, 267, 2687, 547, 645, 1575, 320, 563, 21618, 1331, 5312, 11591, 21539, 320, 267, 14159, 1928, 267, 2597, 2530, 267, 9854, 543, 4745, 1928, 269, 3794, 9790, 12153, 606, 4761, 3210, 602, 3123, 3441, 547, 519, 24026, 267, 6028, 1004, 8572, 547, 10110, 519, 2838, 8324, 543, 5567, 689, 1426, 267, 799, 666, 581, 1272, 18446, 269, 1403, 2451, 15860, 621, 666, 849, 2014, 26983, 267, 21404, 543, 15108, 2860, 563, 763, 2068, 5540, 2021, 811, 982, 2367, 543, 666, 1860, 1004, 540, 782, 6502, 267, 855, 2356, 5956, 538, 26638, 269, 898, 3340, 513, 1973, 1449, 543, 606, 1439, 25646, 23707, 540, 519, 1507, 16892, 538, 1931, 547, 13209, 269, 1703, 568, 1100, 1634, 10826, 543, 519, 1655, 2126, 568, 547, 1246, 513, 1272, 17489, 15347, 1863, 2732, 563, 3719, 513, 1007, 1353, 814, 19230, 602, 1082, 540, 519, 968, 6921, 9790, 6954, 892, 2732, 3536, 1869, 2270, 811, 15347, 982, 519, 5227, 476, 1015, 16936, 513, 1554, 585, 1071, 27112, 24412, 563, 288, 5988, 1353, 538, 519, 1977, 4750, 540, 11916, 12594, 6743, 693, 15347, 4598, 9571, 676, 1079, 1007, 4255, 267, 835, 585, 10729, 543, 519, 824, 585, 22454, 269, 634, 4255, 3713, 6675, 540, 15347, 602, 1118, 621, 998, 519, 9667, 8778, 16856, 538, 782, 540, 721, 563, 763, 1353, 267, 799, 6743, 693, 1239, 593, 2043, 689, 1079, 1114, 4791, 15961, 267, 1336, 593, 3328, 519, 2179, 540, 15347, 10057, 593, 513, 27581, 15347, 6954, 2732, 729, 476, 28192, 16936, 630, 2421, 22454, 2079, 264, 610, 476, 3607, 274, 16936, 630, 2421, 10729, 2079, 1916, 22154, 1353, 9356, 1018, 1082, 1071, 27112, 338, 1995, 538, 1483, 1272, 2223, 3081, 10763, 2447, 626, 26391, 1530, 1446, 344, 13305, 1195, 802, 1676, 267, 835, 540, 519, 1353, 781, 4589, 269, 968, 296, 729, 8995, 609, 1071, 27112, 538, 519, 2038, 476, 1220, 271, 338, 543, 267, 1256, 593, 513, 15347, 6954, 2732, 267, 594, 729, 1869, 3478, 7210, 269, 594, 3459, 547, 2965, 20272, 1250, 1378, 1426, 1210, 2527, 26563, 4479, 2553, 267, 543, 594, 1336, 856, 602, 930, 540, 519, 15347, 6954, 2250, 553, 594, 729, 4189, 267, 543, 1256, 513, 1560, 11547, 594, 729, 1210, 267, 8659, 15347, 3034, 763, 2164, 968, 2998, 513, 1279, 1259, 4724, 7713, 519, 5756, 540, 5359, 6029, 602, 12341, 1063, 476, 1789, 260, 543, 476, 2004, 260, 540, 2550, 609, 524, 27112, 2068, 543, 593, 513, 15347, 6954, 2732, 1869, 723, 8697, 24026, 602, 723, 711, 4628, 16626, 5608, 3081, 715, 11266, 269, 630, 10059, 2517, 4178, 8542, 1440, 3820, 270, 21827, 14121, 1127, 5306, 270, 1001, 279, 270, 6860, 270, 6734, 270, 6795, 279, 31275, 277, 4343, 11320, 1156, 268, 4707, 25322, 9790, 6954, 28104, 27677, 10276, 965, 20642, 2389, 3949, 1673, 25018, 3620, 5200, 7721, 17068, 994, 290, 1162, 723, 2799, 811, 982, 2185, 19507, 538, 519, 2250, 476, 2568, 1296, 267, 2687, 547, 519, 1715, 3840, 518, 269, 834, 12867, 7620, 11911, 519, 3395, 1297, 540, 2665, 547, 3152, 1857, 4656, 543, 1732, 21904, 2437, 621, 3081, 269, 834, 3719, 9444, 666, 4628, 2272, 585, 519, 20014, 4799, 1432, 568, 1875, 18396, 27112, 15347, 8417, 888, 27908, 687, 540, 1004, 945, 1810, 1405, 723, 1071, 27112, 2068, 1869, 1995, 2942, 2589, 1310, 10438, 3536, 5627, 15347, 269, 3794, 9790, 22166, 4386, 950, 513, 1268, 781, 4761, 1062, 20781, 25983, 958, 950, 15347, 568, 7745, 1524, 538, 519, 9667, 1062, 267, 799, 666, 2014, 13943, 2589, 971, 607, 14159, 1928, 267, 26533, 543, 29463, 563, 1692, 798, 596, 917, 952, 596, 723, 621, 888, 2467, 616, 1100, 1808, 10368, 4255, 585, 1875, 18396, 27112, 15347, 8417, 269, 834, 296, 723, 1336, 602, 14874, 15347, 585, 513, 1906, 4374, 543, 7930, 32543, 18166, 621, 568, 519, 1655, 1259, 547, 2708, 707, 1560, 781, 3210, 547, 15347, 543, 3313, 707, 1378, 15347, 12939, 2437, 3220, 14880, 3397, 520, 8725, 5143, 23711, 563, 1432, 798, 7189, 2161, 888, 4407, 4758, 909, 15347, 949, 581, 834, 325, 5831, 762, 2580, 513, 9758, 4576, 568, 10355, 547, 16620, 267, 2687, 547, 23244, 4966, 563, 5278, 3782, 3318, 616, 7255, 602, 1004, 2469, 593, 15347, 6954, 11326, 1510, 17596, 547, 1223, 581, 14124, 741, 1072, 267, 607, 930, 15347, 6954, 3536, 3668, 519, 2838, 5567, 563, 257, 5278, 1004, 1265, 1978, 3536, 616, 3274, 2182, 547, 7558, 543, 10568, 5526, 547, 581, 835, 540, 1346, 2437, 3081, 1772, 8475, 4787, 2988, 8403, 12854, 267, 513, 11285, 14711, 2732, 23790, 563, 4462, 1652, 513, 1268, 814, 1071, 27112, 2068, 267, 621, 568, 12691, 789, 786, 991, 547, 1291, 513, 4625, 15347, 6954, 6197, 543, 949, 4324, 689, 3274, 5969, 1524, 593, 519, 2179, 540, 15347, 5627, 1426, 789, 3548, 563, 10144, 1419, 979, 15347, 6954, 1317, 789, 1745, 13110, 267, 11376, 730, 610, 20158, 543, 1265, 602, 621, 2164, 538, 4743, 1732, 610, 9561, 2597, 267, 2732, 23790, 918, 15811, 30460, 24703, 613, 267, 681, 6185, 269, 11339, 585, 519, 670, 4428, 15838, 5403, 563, 257, 3719, 602, 6364, 568, 811, 2693, 1317, 789, 4312, 2759, 856, 519, 4430, 8477, 1336, 538, 1082, 7912, 2861, 15165, 3536, 267, 543, 789, 19451, 569, 14487, 4743, 1732, 547, 2921, 856, 519, 15347, 2437, 1352, 3081, 563, 29490, 5077, 707, 13382, 1354, 1818, 2101, 2242, 547, 707, 2732, 269, 0, 31165, 476, 275, 2986, 962, 310, 7563, 1975, 758, 2033, 779, 476, 1691, 28233, 30101, 24054, 1299, 4317, 10456, 7420, 454, 2171, 4126, 713, 4161, 2488, 596, 609, 606, 4316, 547, 1732, 1174, 2035, 1644, 547, 5198, 267, 1379, 267, 17979, 267, 543, 5718, 563, 14188, 596, 585, 2921, 713, 4161, 256, 1403, 713, 568, 707, 1101, 1554, 540, 11836, 721, 585, 519, 476, 1691, 6377, 9698, 4161, 267, 10950, 269, 1403, 596, 616, 13059, 1310, 3105, 6278, 609, 519, 4161, 267, 8799, 960, 256, 1284, 616, 19914, 596, 616, 1934, 269, 3245, 11728, 267, 4873, 476, 1428, 628, 998, 10732, 267, 4873, 476, 2764, 628, 267, 962, 310, 7563, 1975, 758, 2033, 786, 6494, 267, 1346, 945, 1129, 909, 585, 938, 4161, 267, 3232, 15737, 20872, 596, 547, 1491, 942, 547, 1451, 827, 7292, 9698, 543, 1514, 5126, 563, 2171, 5000, 596, 547, 1491, 4063, 540, 1022, 4030, 538, 513, 3232, 2845, 610, 19701, 269, 6333, 4259, 11735, 942, 547, 2911, 609, 2828, 827, 1018, 596, 723, 4121, 543, 875, 519, 3584, 5189, 1764, 938, 2146, 269, 12833, 924, 707, 3060, 547, 6443, 596, 593, 713, 4161, 543, 2671, 593, 1514, 2923, 609, 1948, 344, 342, 322, 2801, 638, 640, 577, 718, 3188, 269, 11289, 596, 2336, 31165, 476, 275, 281, 8305, 19685, 1299, 2686, 3261, 566, 454, 19465, 2390, 938, 1620, 540, 2890, 12000, 11306, 267, 3177, 676, 519, 1543, 689, 7420, 4303, 476, 274, 267, 2221, 649, 786, 4983, 11475, 543, 2686, 3261, 566, 269, 1411, 949, 1265, 3054, 11303, 676, 891, 2474, 3833, 1419, 267, 538, 519, 2923, 267, 1851, 2828, 543, 1920, 267, 693, 1153, 267, 610, 538, 519, 9036, 269, 4653, 649, 4161, 596, 547, 2263, 267, 538, 3178, 267, 1018, 798, 891, 2474, 1611, 267, 1018, 1764, 798, 789, 723, 267, 543, 875, 666, 594, 946, 1250, 8116, 547, 8396, 519, 18735, 540, 11475, 543, 2686, 3261, 566, 888, 1805, 699, 8040, 616, 3989, 607, 936, 2102, 1968, 1242, 4978, 827, 513, 1880, 7121, 540, 1004, 269, 2368, 11475, 949, 3100, 811, 14124, 982, 1866, 269, 769, 1249, 267, 972, 616, 1079, 6688, 540, 11475, 267, 2318, 11475, 543, 2942, 11475, 269, 15474, 11475, 616, 968, 320, 16148, 3661, 602, 10305, 513, 15028, 8984, 547, 513, 1895, 543, 10522, 606, 5413, 1317, 540, 707, 7681, 609, 602, 1895, 1848, 1323, 1383, 540, 513, 2318, 8305, 9189, 568, 519, 13429, 602, 606, 7489, 1268, 568, 8850, 1434, 693, 2979, 563, 27078, 894, 11475, 8428, 689, 2318, 11475, 538, 602, 789, 12314, 30369, 4162, 547, 2516, 269, 634, 6286, 540, 513, 2942, 8305, 9189, 19319, 519, 1004, 1369, 602, 1895, 269, 1323, 1383, 540, 513, 2942, 8305, 9189, 568, 519, 13429, 602, 782, 12356, 616, 9810, 1235, 269, 2368, 1589, 602, 2318, 11475, 1590, 711, 581, 607, 5739, 607, 2942, 11475, 269, 15474, 11475, 616, 4122, 3765, 6247, 29471, 607, 1264, 906, 676, 1346, 945, 17297, 4733, 873, 267, 1317, 2318, 11475, 3095, 2516, 609, 15028, 4162, 543, 17538, 606, 5413, 1813, 547, 1895, 15376, 269, 1284, 917, 267, 2705, 267, 602, 519, 936, 2102, 1968, 1242, 4978, 7915, 538, 1312, 2318, 543, 2942, 11475, 616, 632, 16058, 1944, 1317, 789, 32135, 519, 6988, 540, 519, 1367, 1480, 1995, 563, 6097, 547, 11062, 9218, 267, 2686, 3261, 566, 568, 968, 1492, 957, 540, 2921, 610, 1210, 1919, 689, 513, 2528, 602, 568, 711, 707, 1378, 267, 2523, 1510, 6029, 602, 596, 1174, 610, 2463, 713, 2528, 1848, 15380, 267, 2686, 3261, 566, 4386, 950, 513, 1268, 610, 1895, 1045, 10280, 543, 8942, 547, 21613, 2326, 610, 5389, 540, 513, 2528, 689, 799, 789, 723, 711, 1044, 1514, 1242, 267, 543, 798, 711, 4628, 1174, 269, 10705, 267, 713, 568, 2944, 547, 1118, 513, 7443, 267, 513, 6752, 3948, 267, 543, 5924, 513, 24983, 269, 2913, 779, 2666, 6000, 538, 930, 1806, 540, 2686, 3261, 566, 563, 3080, 1383, 540, 2686, 3261, 566, 568, 3109, 2183, 269, 901, 568, 950, 513, 1769, 1606, 7219, 2740, 1367, 4778, 741, 3068, 4158, 6960, 610, 3109, 607, 513, 968, 322, 739, 2541, 1848, 4033, 1806, 1331, 968, 295, 1177, 2967, 1014, 892, 270, 13198, 879, 610, 968, 300, 1410, 4618, 892, 873, 539, 6105, 267, 9849, 10723, 7111, 1977, 1036, 26515, 971, 607, 513, 905, 9312, 2212, 323, 816, 585, 513, 2027, 2680, 971, 607, 513, 2575, 13037, 610, 19343, 267, 543, 9849, 968, 333, 894, 892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9193, 621, 786, 723, 16626, 476, 279, 2929, 9748, 540, 856, 6361, 14025, 14233, 585, 519, 3483, 540, 25935, 13381, 2326, 563, 3528, 7598, 7341, 971, 607, 1697, 1587, 12871, 543, 519, 10868, 540, 2326, 689, 23987, 2472, 267, 9437, 568, 2111, 547, 1711, 1945, 1007, 689, 1945, 2025, 267, 6029, 875, 513, 6109, 7029, 547, 1004, 543, 519, 4541, 666, 948, 1118, 513, 1732, 1272, 585, 782, 563, 258, 1948, 1948, 454, 265, 6097, 547, 519, 2136, 2276, 7025, 10466, 10837, 630, 292, 5183, 1070, 10199, 8370, 2929, 14023, 2209, 11721, 872, 345, 619, 267, 3670, 2929, 6885, 2011, 14555, 4559, 543, 5176, 835, 2929, 632, 21065, 573, 13294, 616, 26356, 540, 1142, 1032, 269, 630, 3095, 6456, 267, 5225, 21189, 547, 2070, 994, 296, 723, 1175, 11751, 606, 9437, 7641, 630, 16347, 9437, 476, 6246, 308, 304, 16020, 271, 1040, 594, 723, 22934, 621, 3842, 19215, 267, 855, 519, 7641, 814, 513, 1966, 4730, 3388, 630, 527, 3081, 834, 514, 20777, 3028, 8442, 4849, 585, 476, 278, 9055, 267, 799, 616, 1857, 13739, 630, 8117, 602, 12582, 1405, 1118, 3017, 910, 789, 616, 782, 667, 29552, 1040, 634, 1152, 3364, 602, 1281, 948, 568, 7432, 1055, 519, 7641, 267, 7996, 585, 513, 1906, 3764, 543, 1287, 7432, 621, 1394, 593, 269, 4495, 594, 2490, 621, 1055, 543, 1287, 593, 267, 621, 13515, 2324, 910, 4849, 585, 519, 476, 278, 9055, 269, 1924, 621, 781, 513, 683, 3164, 526, 532, 1184, 540, 7432, 621, 1055, 543, 593, 547, 2965, 581, 2111, 547, 4585, 519, 7641, 563, 9989, 24455, 917, 1018, 1223, 581, 4929, 713, 286, 634, 7641, 814, 1044, 8242, 267, 594, 723, 1305, 621, 909, 585, 1250, 4087, 630, 290, 14864, 6243, 1070, 594, 4312, 6836, 12051, 19268, 19601, 14188, 596, 585, 707, 10372, 2336, 3528, 5240, 3115, 7163, 454, 306, 2438, 13503, 832, 666, 581, 1336, 538, 606, 8626, 27274, 2647, 2039, 540, 3457, 971, 607, 16389, 267, 5100, 1753, 14233, 543, 7082, 11418, 2472, 269, 769, 519, 16669, 2872, 267, 538, 268, 557, 327, 1834, 15373, 832, 616, 4730, 513, 2556, 851, 538, 5935, 519, 2104, 540, 10688, 563, 19324, 2403, 267, 538, 519, 16042, 5736, 540, 14628, 6472, 267, 3301, 786, 581, 1898, 585, 6117, 267, 5883, 543, 21130, 938, 6517, 269, 8682, 28391, 1949, 267, 585, 1383, 267, 2308, 1843, 6284, 3301, 7471, 609, 4395, 1922, 5217, 12514, 543, 8596, 267, 4287, 15392, 3301, 543, 3432, 6284, 3301, 1107, 782, 540, 799, 2154, 15373, 832, 547, 1599, 563, 763, 7167, 3809, 540, 27990, 590, 2438, 13503, 832, 454, 17471, 5716, 538, 519, 13365, 564, 2872, 267, 971, 607, 19120, 5570, 610, 27311, 267, 5431, 519, 2956, 540, 519, 16669, 19202, 543, 616, 8362, 642, 3539, 547, 1291, 538, 713, 6385, 3395, 2344, 269, 590, 2438, 13503, 528, 6272, 3358, 585, 16669, 3156, 1590, 4865, 519, 12588, 547, 7500, 693, 1164, 11250, 547, 2327, 2656, 267, 6325, 4276, 543, 1239, 4483, 1063, 3301, 20452, 6472, 267, 607, 1134, 607, 609, 6808, 2359, 1949, 267, 6531, 5121, 543, 2533, 267, 543, 2789, 29782, 563, 1103, 476, 1001, 278, 267, 609, 606, 3750, 2509, 519, 2104, 267, 9437, 543, 19120, 5570, 9307, 602, 789, 1131, 581, 24625, 908, 547, 1020, 606, 11628, 32010, 26859, 3590, 630, 4696, 3008, 264, 543, 14628, 6117, 2029, 269, 13966, 609, 23712, 593, 891, 1985, 24932, 3435, 267, 519, 1079, 3549, 723, 1044, 2324, 1927, 593, 519, 1357, 5308, 16790, 6174, 1102, 582, 664, 618, 3760, 543, 513, 476, 276, 294, 4448, 1286, 3760, 563, 306, 2438, 13503, 528, 932, 2354, 585, 8892, 22994, 1006, 454, 8505, 558, 12067, 15373, 832, 723, 513, 1713, 1764, 593, 1585, 3156, 267, 1519, 519, 3309, 2127, 540, 6174, 2792, 267, 3226, 538, 7658, 3901, 923, 543, 27990, 3562, 3887, 854, 2251, 630, 309, 273, 311, 264, 1949, 269, 17791, 3901, 923, 267, 513, 4999, 540, 26313, 543, 1217, 18267, 267, 7740, 593, 519, 17791, 3901, 923, 6513, 5149, 630, 12839, 308, 1070, 799, 21314, 513, 3099, 540, 6174, 3301, 3435, 267, 689, 538, 268, 557, 327, 1834, 1102, 582, 664, 618, 630, 4353, 296, 264, 1949, 547, 519, 4448, 1286, 269, 22034, 4359, 19202, 13365, 267, 7658, 3901, 923, 666, 5838, 513, 2039, 540, 2773, 2640, 267, 971, 607, 8476, 476, 276, 294, 14479, 267, 1732, 2792, 1239, 2359, 543, 3354, 267, 543, 3152, 2949, 6617, 563, 309, 273, 311, 1949, 7048, 593, 519, 4028, 5385, 540, 1804, 5666, 540, 1239, 1063, 1286, 3562, 21307, 267, 1286, 3562, 19899, 5509, 267, 1286, 3562, 3766, 5090, 543, 1286, 3562, 268, 15953, 538, 519, 5007, 6117, 1604, 269, 14825, 12067, 15373, 832, 948, 5512, 713, 16600, 1922, 770, 1239, 5385, 267, 14123, 15774, 2792, 543, 5872, 1063, 6472, 543, 741, 10450, 563, 306, 2438, 13503, 832, 849, 1404, 606, 1271, 1909, 538, 7393, 6174, 3106, 3252, 269, 1306, 519, 946, 540, 5907, 3334, 543, 3301, 538, 6517, 20406, 4679, 267, 865, 1932, 1281, 519, 1981, 540, 28892, 543, 824, 14590, 6937, 269, 769, 3210, 547, 713, 267, 3678, 5474, 543, 14273, 616, 26724, 519, 1646, 540, 5150, 15373, 832, 602, 666, 2149, 6472, 543, 741, 5411, 689, 6880, 3430, 2931, 563, 28723, 19202, 13365, 711, 1152, 1683, 13418, 585, 513, 6174, 779, 31269, 267, 855, 585, 16669, 3301, 9367, 607, 1134, 282, 3413, 1800, 873, 519, 2702, 547, 4019, 513, 2647, 2039, 540, 2533, 543, 2934, 267, 543, 1818, 519, 2898, 1646, 1184, 23704, 998, 513, 3102, 24194, 540, 6531, 2861, 2645, 563, 2026, 513, 2754, 8149, 547, 3586, 5647, 267, 9437, 568, 4058, 547, 5305, 513, 2039, 540, 3106, 543, 13418, 10276, 327, 3496, 2472, 267, 2059, 609, 1644, 6075, 1995, 2533, 269, 1452, 17008, 786, 7520, 3078, 267, 1007, 21769, 1063, 1286, 9755, 543, 6174, 5057, 3435, 7426, 543, 948, 3142, 519, 5736, 540, 2104, 10688, 3648, 6251, 563, 258, 1948, 1948, 454, 15062, 6456, 267, 5225, 21189, 547, 2070, 454, 3528, 5240, 3115, 7163, 454, 2414, 5838, 26080, 2713, 2833, 267, 9437, 590, 5456, 2793, 307, 13543, 568, 24491, 8393, 12592, 676, 1148, 538, 782, 922, 3029, 269, 901, 31672, 25186, 883, 13730, 1489, 585, 1796, 719, 1148, 543, 2686, 2833, 563, 2414, 3142, 519, 9437, 590, 5456, 2793, 307, 13543, 1995, 6251, 547, 5561, 267, 519, 6216, 814, 4371, 2621, 543, 2813, 1007, 12352, 998, 922, 9962, 5177, 6216, 5859, 968, 299, 294, 590, 5456, 2793, 307, 13543, 21118, 338, 892, 1995, 865, 602, 811, 1004, 666, 2972, 519, 17195, 6197, 2472, 585, 2933, 563, 288, 1883, 5057, 540, 713, 11036, 568, 9437, 590, 5456, 2793, 307, 13543, 779, 5571, 11450, 609, 519, 9576, 5845, 327, 1301, 4577, 2107, 3832, 14259, 630, 14641, 302, 1070, 835, 540, 519, 1158, 779, 20923, 32427, 553, 543, 3020, 18544, 540, 922, 1148, 269, 2060, 1169, 22459, 693, 519, 533, 4883, 12386, 540, 741, 4876, 267, 922, 12644, 616, 4986, 2110, 540, 19416, 269, 901, 11450, 609, 681, 17269, 543, 519, 2238, 602, 2097, 609, 621, 267, 1683, 513, 6209, 4316, 585, 1283, 2389, 1512, 17195, 2923, 538, 519, 5177, 547, 4497, 2047, 609, 9437, 590, 5456, 2793, 307, 13543, 267, 6117, 2318, 4656, 540, 519, 6216, 543, 922, 2472, 998, 519, 1379, 540, 3946, 6823, 2833, 563, 7197, 5063, 267, 519, 6216, 4371, 9437, 590, 5456, 2793, 307, 13543, 21118, 338, 634, 8535, 540, 20607, 693, 5507, 779, 20380, 9576, 15751, 8065, 267, 3246, 513, 3501, 4316, 547, 1711, 513, 1232, 611, 550, 4090, 602, 20383, 16900, 609, 519, 9437, 590, 5456, 2793, 307, 13543, 6216, 563, 25405, 631, 7865, 28952, 267, 6725, 8689, 693, 9437, 5177, 454, 763, 2680, 14376, 14538, 547, 2972, 606, 15982, 12129, 21200, 4371, 538, 519, 9576, 15751, 8065, 779, 12600, 1849, 633, 18740, 267, 4553, 676, 513, 2661, 2773, 540, 634, 8535, 540, 20607, 689, 513, 9835, 570, 1512, 13340, 269, 634, 1397, 9976, 936, 476, 2568, 1296, 540, 6276, 20607, 593, 519, 2462, 5496, 676, 4730, 519, 1034, 11599, 6249, 8964, 543, 606, 1492, 916, 689, 519, 4216, 11325, 823, 3625, 321, 31255, 563, 4002, 12625, 267, 11504, 2923, 941, 30870, 609, 513, 6276, 20607, 30816, 840, 1673, 27903, 513, 704, 527, 604, 543, 9415, 547, 1404, 513, 3014, 540, 3109, 329, 871, 693, 519, 25877, 3349, 609, 2048, 299, 294, 590, 5456, 2793, 307, 13543, 8342, 14559, 10200, 2290, 18822, 16771, 4607, 513, 4015, 540, 6276, 20607, 8357, 8494, 807, 1519, 513, 4216, 540, 26852, 689, 634, 5507, 590, 1442, 16510, 779, 476, 23669, 16683, 4015, 267, 513, 645, 7578, 22506, 6276, 20607, 3220, 269, 3143, 544, 1872, 543, 513, 2048, 289, 1180, 23663, 281, 634, 4347, 514, 1438, 3778, 685, 1433, 563, 7628, 519, 1397, 267, 28752, 1223, 849, 723, 741, 1292, 1576, 19610, 609, 9174, 6039, 693, 519, 19993, 2837, 267, 7064, 547, 519, 9437, 590, 5456, 2793, 307, 13543, 29879, 8426, 541, 593, 4159, 538, 519, 1849, 633, 18740, 563, 4415, 5969, 12967, 5647, 6273, 676, 2757, 9174, 4859, 2553, 267, 621, 4274, 569, 18187, 919, 519, 2175, 540, 11895, 9174, 23572, 547, 4558, 543, 2085, 25299, 585, 519, 6099, 6492, 267, 1247, 922, 31933, 1374, 568, 519, 13423, 727, 540, 8766, 626, 17195, 563, 20124, 5491, 281, 3095, 6456, 267, 5225, 21189, 547, 2070, 454, 5475, 519, 7594, 267, 14538, 941, 14376, 547, 519, 9835, 570, 1512, 13340, 547, 4585, 519, 1158, 1922, 13904, 32316, 1404, 606, 1492, 916, 689, 1585, 6276, 20607, 9413, 269, 1656, 952, 602, 7012, 1406, 2614, 267, 29295, 906, 543, 18397, 1286, 537, 17632, 1759, 593, 20607, 9413, 941, 6039, 2429, 543, 14538, 1256, 3893, 519, 4316, 547, 544, 17532, 609, 1079, 681, 17269, 12372, 1282, 519, 8884, 563, 9961, 519, 10543, 267, 14538, 941, 5701, 547, 519, 2407, 9437, 590, 5456, 2793, 307, 13543, 24756, 1995, 267, 10223, 1586, 1175, 875, 1454, 519, 6216, 2418, 25704, 538, 711, 1152, 2029, 543, 5647, 267, 855, 849, 2528, 543, 6575, 563, 16987, 1466, 1985, 7400, 2713, 609, 9437, 590, 5456, 2793, 307, 13543, 563, 6944, 30744, 676, 9437, 5177, 454, 258, 1948, 1948, 454, 3528, 5240, 3115, 7163, 454, 5327, 11220, 585, 7913, 1242, 12409, 2037, 4921, 267, 9437, 779, 20308, 18224, 10298, 454, 19423, 518, 11426, 1242, 17972, 2334, 5269, 4804, 12056, 543, 5004, 11822, 454, 10345, 5495, 299, 267, 2904, 476, 1704, 267, 476, 1708, 274, 2443, 9437, 22997, 630, 299, 294, 264, 814, 9307, 519, 10131, 540, 519, 9437, 8073, 32317, 3126, 540, 3059, 3043, 4580, 3435, 630, 7116, 1564, 476, 10436, 15045, 274, 291, 298, 267, 476, 4037, 15045, 274, 291, 298, 267, 476, 4792, 15045, 274, 291, 298, 543, 476, 4649, 15045, 274, 291, 298, 264, 585, 3872, 5054, 269, 26758, 585, 3059, 13460, 267, 9437, 8073, 32317, 19646, 513, 476, 2412, 15304, 272, 3818, 2389, 13224, 5496, 602, 2488, 5347, 267, 7317, 1603, 543, 5373, 2833, 269, 898, 849, 3091, 15774, 5698, 609, 6131, 3059, 1565, 3156, 267, 543, 6552, 2359, 609, 606, 2653, 3562, 14025, 6531, 2861, 3070, 476, 273, 563, 5327, 11220, 547, 2743, 519, 3059, 1565, 2115, 540, 2221, 779, 1053, 543, 7855, 267, 782, 519, 5767, 9437, 8073, 32317, 3631, 616, 9280, 609, 513, 476, 274, 267, 279, 2412, 6398, 476, 273, 267, 8182, 630, 308, 8461, 264, 6571, 4159, 602, 2488, 476, 2412, 15304, 3818, 2389, 13224, 10342, 269, 634, 11684, 267, 1007, 2472, 7520, 1187, 267, 7317, 1565, 2833, 543, 616, 4998, 585, 1565, 3756, 267, 10319, 2238, 543, 1454, 811, 563, 16449, 519, 1082, 10375, 2934, 585, 7855, 6035, 676, 9437, 779, 1007, 1565, 10525, 616, 30040, 1569, 543, 12829, 7348, 532, 269, 2060, 30040, 19027, 267, 16929, 666, 3362, 1569, 741, 1378, 5616, 20000, 543, 9786, 2290, 7804, 633, 593, 9437, 8073, 32317, 543, 3533, 2671, 3450, 2326, 609, 1053, 1510, 2348, 547, 1820, 873, 856, 269, 11531, 267, 519, 12829, 7348, 532, 4183, 2306, 621, 2009, 547, 4159, 1079, 610, 811, 2326, 593, 5496, 267, 2901, 538, 5094, 9486, 610, 6772, 4660, 538, 4605, 2987, 1790, 27348, 7154, 274, 269, 901, 1599, 2337, 1053, 1732, 1174, 5528, 543, 1565, 1543, 676, 3850, 873, 547, 2070, 2789, 6054, 267, 7044, 610, 824, 2326, 8195, 563, 22296, 3386, 585, 3059, 1242, 1565, 5624, 267, 9437, 8073, 32317, 3435, 2097, 609, 519, 9437, 8073, 32317, 6997, 3498, 267, 799, 3091, 513, 3099, 540, 1603, 2645, 602, 666, 5818, 2875, 6278, 269, 12232, 607, 606, 3498, 275, 267, 9437, 8073, 32317, 9523, 6087, 519, 12616, 13819, 327 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6092, 5149, 281, 19565, 11470, 543, 8950, 3163, 281, 10289, 29790, 543, 14464, 11106, 998, 12056, 12267, 692, 7072, 1384, 8702, 547, 713, 3078, 1576, 1770, 602, 10905, 519, 13858, 1158, 540, 11174, 5708, 609, 5969, 12967, 2029, 256, 3414, 2502, 2984, 10023, 11608, 543, 5841, 4987, 630, 9590, 1070, 649, 786, 5490, 2620, 883, 2780, 2257, 2035, 1247, 5807, 5876, 543, 2565, 3206, 1983, 269, 901, 15834, 1935, 2636, 721, 547, 2263, 1950, 2093, 538, 3015, 2081, 267, 1818, 1565, 1187, 543, 4143, 269, 1635, 6313, 891, 4798, 1369, 2442, 3332, 267, 649, 2832, 547, 8141, 7279, 543, 8300, 2104, 3048, 2209, 538, 17562, 543, 3642, 780, 296, 269, 634, 25043, 540, 29790, 543, 3642, 538, 19565, 11470, 692, 272, 269, 589, 16684, 3778, 540, 7605, 1824, 543, 3642, 538, 9085, 454, 320, 269, 7216, 20297, 281, 3245, 3504, 13299, 547, 2413, 27825, 454, 321, 269, 634, 11344, 2085, 540, 1414, 30235, 543, 922, 1764, 593, 1453, 781, 3332, 454, 322, 269, 12634, 1568, 281, 20710, 3101, 519, 7934, 1063, 9345, 543, 4641, 454, 273, 269, 6206, 16610, 538, 29790, 543, 3642, 454, 320, 269, 9502, 543, 7778, 540, 2474, 454, 321, 269, 4197, 8800, 3334, 543, 3301, 3344, 454, 322, 269, 7756, 2010, 540, 3642, 543, 741, 3156, 454, 274, 269, 11588, 543, 12694, 540, 23889, 5303, 538, 27884, 454, 320, 269, 31514, 21599, 543, 6278, 454, 321, 269, 18601, 5683, 4145, 543, 6848, 6286, 454, 322, 269, 18964, 4763, 543, 6041, 538, 13241, 4610, 692, 2862, 269, 595, 1538, 528, 1944, 543, 22718, 19565, 11470, 3171, 520, 1005, 29790, 543, 3642, 692, 272, 269, 4147, 4328, 3718, 676, 6520, 6828, 543, 7335, 5426, 454, 320, 269, 16514, 2835, 585, 1762, 3988, 454, 321, 269, 5664, 3446, 9089, 585, 3384, 8186, 454, 322, 269, 8479, 2937, 5708, 585, 4359, 6267, 454, 273, 269, 17291, 5871, 21771, 543, 7763, 604, 338, 454, 320, 269, 8682, 22523, 543, 2123, 2208, 454, 321, 269, 5274, 5872, 543, 3347, 454, 322, 269, 19078, 21140, 543, 5837, 5079, 454, 274, 269, 16792, 11879, 15154, 10341, 547, 5811, 454, 320, 269, 24167, 1915, 1646, 543, 4729, 2497, 454, 321, 269, 28518, 6639, 6111, 543, 23710, 2225, 454, 322, 269, 9181, 532, 1514, 543, 2686, 5222, 692, 7656, 269, 24732, 268, 4002, 4804, 11242, 543, 18768, 692, 272, 269, 11300, 5675, 3718, 10914, 454, 320, 269, 15043, 3312, 1650, 6050, 543, 3197, 6220, 17562, 543, 3642, 454, 321, 269, 20985, 4589, 1222, 543, 9263, 2689, 5751, 454, 322, 269, 10558, 532, 3803, 31585, 585, 1895, 4901, 543, 16472, 454, 273, 269, 27588, 543, 14691, 11822, 7605, 5328, 7010, 454, 320, 269, 13823, 2563, 4245, 1210, 29668, 619, 543, 8596, 454, 321, 269, 8490, 2596, 7344, 3889, 543, 11700, 17007, 454, 322, 269, 20074, 6620, 543, 1966, 9010, 2553, 454, 274, 269, 16709, 540, 7351, 12367, 543, 8892, 19648, 454, 320, 269, 15766, 908, 6932, 4066, 899, 3684, 1565, 543, 8849, 5121, 454, 321, 269, 5548, 1324, 883, 4876, 3255, 543, 3872, 11444, 454, 322, 269, 14484, 532, 2390, 519, 1909, 540, 3743, 5647, 538, 2486, 692, 4353, 269, 10495, 6396, 3098, 543, 717, 15665, 7600, 4997, 692, 272, 269, 8617, 13658, 8240, 543, 18873, 454, 320, 269, 12474, 17117, 2638, 9557, 8720, 1883, 16166, 543, 2035, 454, 321, 269, 13335, 2055, 8506, 2079, 543, 6268, 1983, 454, 273, 269, 15937, 5741, 19809, 543, 7797, 454, 320, 269, 23227, 566, 540, 3860, 1603, 5759, 543, 2930, 21941, 454, 321, 269, 8058, 13826, 540, 6192, 3785, 543, 30384, 454, 322, 269, 18838, 8086, 7234, 1367, 2208, 543, 3853, 692, 6962, 1384, 1607, 1576, 1770, 6663, 547, 1683, 1053, 609, 606, 2502, 543, 4101, 1995, 3695, 519, 10167, 540, 11174, 5708, 267, 17562, 267, 543, 5841, 4987, 269, 1635, 9256, 5339, 2079, 609, 3946, 6823, 2238, 267, 649, 4126, 547, 6536, 513, 4514, 7071, 585, 1312, 2780, 2257, 3741, 543, 19511, 9423, 269, 11086, 267, 938, 3804, 568, 547, 7668, 1053, 547, 1589, 9691, 267, 1711, 19100, 267, 543, 1831, 5483, 20334, 538, 5935, 519, 2104, 540, 2029, 543, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16521, 2659, 4530, 454, 25823, 1315, 957, 3341, 2228, 10274, 543, 4388, 267, 476, 13647, 1390, 1382, 1957, 3584, 563, 3080, 540, 519, 23698, 2694, 540, 1603, 513, 1382, 1957, 666, 581, 1175, 4466, 513, 1434, 1888, 547, 2328, 827, 269, 18641, 649, 4312, 2944, 519, 2182, 960, 585, 596, 543, 723, 16432, 513, 1592, 540, 476, 13647, 4277, 1382, 1957, 3584, 269, 1358, 4312, 1044, 6896, 883, 4557, 6688, 543, 3382, 513, 2647, 2039, 540, 5396, 865, 596, 666, 3362, 1265, 519, 1655, 1888, 585, 596, 563, 1103, 1840, 547, 519, 1592, 540, 1434, 1382, 3584, 267, 649, 4312, 3769, 5796, 593, 1018, 2306, 513, 1434, 1382, 1957, 1888, 543, 875, 596, 666, 946, 707, 1888, 547, 1376, 1603, 513, 1390, 1957, 563, 1432, 24439, 513, 6153, 3194, 7433, 13445, 888, 8253, 782, 1382, 1957, 3584, 616, 2813, 3160, 267, 543, 596, 1616, 547, 1118, 2386, 596, 3442, 513, 1390, 1888, 1354, 596, 1376, 1603, 269, 12989, 616, 519, 1614, 1034, 1271, 2188, 547, 2015, 547, 1118, 2386, 596, 3442, 519, 1655, 1382, 1957, 3584, 563, 258, 272, 281, 898, 781, 23985, 1411, 2811, 9314, 539, 769, 454, 288, 1957, 568, 2141, 4443, 547, 2328, 952, 596, 2811, 5461, 538, 519, 1888, 267, 543, 596, 3513, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 23675, 1299, 7913, 9012, 1315, 29790, 543, 14464, 11106, 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, 5629, 2390, 513, 942, 267, 972, 729, 513, 8049, 13442, 3957, 7585, 945, 3357, 689, 513, 11397, 4541, 269, 1261, 1185, 3460, 539, 998, 2230, 543, 6368, 8452, 593, 3047, 269, 1306, 646, 22283, 856, 540, 1010, 5624, 1222, 267, 646, 1336, 5128, 11303, 676, 782, 12204, 540, 9490, 7919, 910, 3425, 543, 2831, 7567, 269, 18421, 729, 1007, 543, 14542, 547, 1864, 780, 2026, 7585, 8268, 519, 1858, 267, 646, 16686, 2390, 513, 2679, 1572, 513, 834, 345, 5622, 1701, 30985, 267, 646, 4956, 547, 4283, 543, 1294, 1018, 621, 729, 782, 827, 269, 18738, 267, 646, 4718, 1082, 1114, 2010, 540, 2831, 267, 1519, 930, 602, 5030, 538, 1216, 269, 2290, 3662, 9575, 1010, 3007, 910, 606, 12354, 22455, 269, 898, 729, 7429, 4376, 646, 1185, 2479, 2938, 1354, 2439, 7692, 14478, 607, 519, 12354, 22455, 6410, 1472, 922, 7382, 267, 4657, 4778, 543, 18282, 269, 1261, 8068, 602, 519, 12354, 22455, 8604, 547, 581, 1360, 10995, 267, 1210, 2645, 543, 6061, 13410, 2016, 547, 621, 676, 922, 1416, 339, 5474, 269, 901, 19832, 7585, 267, 607, 1394, 593, 1010, 4541, 267, 2645, 941, 1152, 1031, 676, 2366, 1304, 7919, 899, 5128, 780, 257, 2750, 322, 2224, 803, 2437, 1767, 7585, 547, 835, 540, 519, 23291, 1832, 619, 269, 834, 1432, 568, 713, 4241, 13442, 286, 1656, 1946, 1281, 621, 3100, 865, 1454, 21273, 982, 519, 824, 2831, 1934, 12482, 763, 1183, 4177, 20493, 693, 7585, 543, 6045, 267, 834, 1607, 568, 606, 12354, 22455, 267, 513, 1826, 540, 7286, 1272, 602, 2729, 538, 12084, 782, 936, 519, 1158, 269, 1358, 616, 1634, 585, 741, 4987, 543, 1966, 9010, 5759, 269, 2368, 1004, 1256, 2161, 789, 616, 607, 5100, 607, 5243, 610, 7314, 15323, 7692, 7948, 1405, 3494, 621, 269, 1323, 3662, 607, 10995, 607, 513, 4620, 286, 1215, 729, 602, 2009, 2496, 763, 1183, 4177, 4682, 593, 547, 2491, 602, 12354, 641, 4926, 723, 1804, 12058, 543, 1614, 12271, 267, 3850, 873, 547, 6802, 1973, 547, 741, 5216, 7916, 543, 2634, 8195, 269, 4256, 8401, 1062, 568, 7856, 2429, 741, 1560, 267, 4758, 873, 6909, 32609, 614, 640, 543, 1852, 936, 1142, 6186, 780, 7692, 4280, 267, 834, 3719, 875, 798, 789, 5968, 609, 1142, 824, 952, 741, 8401, 1949, 616, 5094, 12482, 763, 1183, 4177, 14452, 267, 834, 12914, 641, 4926, 1810, 1405, 2731, 5968, 538, 519, 1482, 1259, 602, 3425, 610, 1256, 824, 2831, 798, 269, 5502, 267, 789, 1689, 2681, 543, 9403, 547, 6655, 4664, 610, 15752, 269, 1280, 1383, 267, 950, 789, 1745, 12219, 267, 789, 949, 2490, 18632, 610, 4159, 3270, 607, 513, 9963, 5365, 3010, 293, 2444, 3990, 267, 7585, 6170, 3108, 8384, 519, 12354, 22455, 2170, 609, 922, 1604, 543, 4194, 2042, 4843, 547, 621, 269, 1261, 14952, 539, 693, 922, 13916, 543, 4199, 6888, 267, 16734, 602, 4987, 2501, 538, 1082, 3029, 543, 991, 711, 581, 3908, 547, 2366, 1304, 7919, 971, 607, 5128, 780, 6524, 6028, 519, 23291, 267, 7585, 9684, 539, 519, 1183, 4177, 585, 3450, 1864, 827, 519, 12354, 22455, 543, 16219, 547, 2671, 1010, 4681, 609, 1866, 593, 1010, 4541, 269, 2991, 782, 267, 1620, 543, 19825, 4763, 729, 1898, 585, 2208, 543, 1646, 267, 2436, 596, 941, 606, 9813, 9683, 513, 4914, 4541, 610, 3274, 3695, 707, 1378, 18147, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 294, 15115, 20550, 14795, 5303, 568, 513, 3056, 3318, 10672, 538, 519, 1374, 543, 2504, 540, 1918, 520, 3055, 15225, 269, 1284, 2832, 547, 948, 938, 5001, 7218, 1711, 543, 1930, 21300, 32434, 584, 26226, 6249, 11614, 267, 18186, 657, 267, 15882, 267, 24218, 267, 543, 2621, 269, 717, 15115, 729, 8547, 538, 5130, 476, 1220, 278, 269, 634, 2754, 543, 12051, 616, 4092, 538, 2098, 580, 784, 267, 590, 747, 10224, 267, 25763, 540, 3624, 269, 3767, 519, 2754, 814, 476, 13136, 5520, 543, 8255, 476, 4375, 267, 8517, 4009, 7397, 13186, 547, 3132, 1272, 20695, 267, 1272, 6438, 11979, 543, 1918, 520, 3055, 15225, 540, 17878, 267, 2831, 267, 22645, 267, 7786, 267, 4672, 2085, 2831, 267, 7286, 1272, 267, 543, 16419, 2472, 563, 3383, 2484, 267, 717, 15115, 814, 29633, 519, 15225, 547, 811, 982, 476, 7761, 2477, 543, 4525, 538, 519, 1158, 269, 3776, 11979, 543, 1918, 520, 3055, 7068, 666, 581, 14018, 585, 1312, 11255, 543, 9205, 267, 10707, 267, 543, 8628, 4159, 269, 1284, 666, 849, 1683, 16419, 11768, 1374, 543, 1628, 2533, 585, 938, 7218, 269, 5071, 267, 10380, 267, 543, 1310, 1606, 1446, 3028, 616, 938, 1883, 2533, 267, 5561, 262, 9547, 568, 519, 23780, 799, 649, 4196, 563, 291, 3626, 18222, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 12292, 1315, 13149, 5020, 1315, 4239, 22455, 11106, 267, 547, 606, 9813, 3957, 7585, 602, 1175, 15354, 593, 3618, 543, 814, 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, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 3848, 476, 1015, 281, 16871, 7827, 910, 595, 10030, 700, 10033, 25285, 543, 4256, 10020, 538, 13192, 17270, 692, 7072, 454, 2411, 19030, 1103, 2221, 781, 2479, 21608, 3059, 5251, 267, 9363, 6619, 540, 6932, 3466, 543, 4066, 568, 2629, 585, 2780, 2257, 4648, 269, 2290, 971, 7678, 568, 6531, 7384, 1107, 12419, 593, 24683, 663, 7384, 2533, 3842, 519, 4950, 267, 3850, 3906, 630, 2958, 14177, 540, 2450, 264, 15774, 1569, 547, 1585, 2200, 899, 3642, 267, 3301, 267, 12642, 267, 1239, 4859, 267, 543, 1454, 811, 269, 2311, 519, 2295, 540, 713, 17565, 6521, 6013, 3608, 267, 3532, 5752, 4654, 5827, 540, 18440, 909, 547, 2743, 891, 7569, 1247, 4509, 16134, 543, 8897, 540, 6388, 269, 769, 713, 3184, 267, 938, 1445, 786, 581, 3695, 595, 10030, 25754, 7215, 543, 741, 4644, 1369, 519, 2796, 540, 6531, 7384, 269, 1284, 786, 5490, 883, 519, 14960, 540, 25754, 3252, 267, 1174, 1946, 789, 616, 1898, 950, 2324, 609, 7856, 1949, 267, 543, 4983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15371, 610, 711, 835, 23216, 609, 971, 3376, 6811, 267, 621, 779, 4502, 15663, 602, 13075, 7963, 267, 513, 676, 28237, 540, 9304, 267, 814, 5781, 1044, 1031, 547, 676, 930, 2516, 547, 13861, 1866, 269, 7338, 16962, 267, 585, 3236, 267, 6700, 602, 519, 2229, 5000, 7111, 4892, 547, 6718, 5370, 593, 5491, 865, 789, 8910, 2887, 883, 7963, 543, 581, 7142, 547, 6133, 741, 3338, 269, 4653, 267, 3109, 16973, 616, 25409, 12735, 4240, 676, 7963, 12258, 3005, 4031, 7057, 269, 4634, 1310, 2921, 4747, 883, 2272, 267, 7963, 4015, 17015, 616, 7466, 607, 1455, 538, 3109, 16973, 607, 538, 3043, 3283, 269, 1269, 4097, 2929, 729, 25868, 689, 7264, 540, 853, 269, 8402, 685, 6140, 3109, 16973, 538, 17015, 19429, 1063, 476, 1220, 279, 543, 476, 1001, 273, 267, 1454, 540, 799, 729, 25868, 689, 7963, 832, 685, 2628, 3832, 4242, 269, 769, 20388, 902, 267, 513, 853, 269, 8402, 1016, 7875, 267, 972, 729, 835, 9290, 585, 1169, 2185, 7264, 1282, 1346, 1296, 563, 1103, 519, 2136, 2276, 267, 20913, 670, 612, 1031, 3046, 18146, 547, 1118, 621, 9875, 585, 519, 594, 11965, 547, 28958, 1010, 13848, 543, 607, 513, 1106, 540, 3454, 4187, 269, 670, 612, 6045, 875, 646, 5828, 547, 30550, 538, 606, 1566, 24737, 585, 634, 1715, 3840, 8648, 538, 476, 3192, 276, 269, 1717, 519, 594, 11965, 1631, 3340, 30550, 15377, 547, 581, 4080, 607, 829, 519, 12525, 24054, 543, 674, 14166, 26930, 2920, 540, 476, 2735, 273, 269, 4446, 614, 15377, 616, 2808, 3454, 762, 8907, 676, 519, 594, 11965, 543, 1590, 581, 4080, 593, 513, 476, 11820, 280, 5174, 1106, 269, 4340, 547, 519, 594, 11965, 267, 834, 763, 4023, 2344, 1871, 540, 5370, 543, 2533, 22121, 1590, 581, 3769, 538, 519, 4747, 540, 1312, 6105, 4799, 307, 8565, 1705, 2049, 538, 1875, 15065, 8767, 7239, 267, 855, 711, 1851, 8284, 27142, 269, 5502, 267, 621, 729, 1031, 3592, 14311, 609, 21046, 267, 610, 1256, 14763, 267, 1141, 621, 729, 1419, 10483, 676, 1950, 12738, 5473, 4123, 267, 7544, 267, 905, 8463, 267, 23769, 8165, 267, 610, 3023, 11652, 3006, 782, 540, 873, 23091, 269, 6875, 519, 6805, 25511, 9405, 7666, 1004, 540, 5245, 267, 607, 4767, 676, 519, 10236, 6048, 30370, 7137, 526, 339, 538, 519, 476, 3707, 271, 338, 912, 17457, 30550, 543, 4123, 814, 7960, 14320, 547, 1831, 606, 2500, 1505, 540, 2810, 6455, 267, 25137, 6666, 267, 3001, 11891, 267, 543, 1818, 946, 540, 4430, 2504, 4390, 585, 4213, 1472, 519, 1158, 269, 24371, 538, 513, 30550, 7118, 4123, 17099, 630, 13318, 1737, 540, 6666, 264, 602, 616, 20024, 883, 741, 2272, 269, 1358, 1287, 723, 519, 2702, 547, 6718, 5370, 543, 2533, 689, 824, 2818, 9001, 741, 4123, 17099, 1107, 789, 616, 711, 8078, 730, 547, 6718, 689, 1346, 7247, 789, 4421, 547, 267, 543, 13030, 17930, 269, 634, 5385, 4249, 606, 1271, 1909, 1317, 789, 1683, 519, 2594, 268, 15209, 267, 2156, 330, 1359, 6791, 543, 10865, 6898, 547, 1142, 4759, 269, 20497, 15377, 1118, 2724, 676, 12123, 513, 10243, 593, 1142, 11834, 2901, 782, 593, 519, 4444, 2427, 267, 782, 593, 519, 6133, 2427, 267, 610, 513, 4999, 540, 1312, 269, 3690, 9146, 12375, 3335, 2196, 1063, 476, 279, 543, 476, 1428, 18336, 763, 1482, 3364, 6585, 3020, 540, 782, 824, 22590, 282, 585, 30550, 267, 538, 2489, 267, 1185, 922, 3312, 4098, 538, 2470, 267, 930, 2367, 2348, 513, 21045, 267, 1866, 1932, 2370, 540, 1018, 729, 2556, 585, 873, 281, 8754, 621, 568, 10423, 267, 602, 519, 9513, 14074, 585, 2724, 568, 711, 2687, 547, 519, 2067, 946, 540, 1919, 282, 585, 789, 941, 8078, 539, 547, 946, 30550, 585, 1346, 1919, 799, 789, 4941, 282, 855, 621, 568, 10750, 602, 30550, 1223, 723, 1100, 1747, 538, 519, 1101, 267, 602, 568, 547, 2161, 267, 538, 1920, 2486, 282, 855, 1590, 723, 13175, 950, 519, 1297, 540, 1346, 945, 7768, 519, 2146, 729, 23762, 281, 585, 519, 1101, 540, 891, 1185, 782, 1919, 538, 1455, 282, 855, 950, 789, 3357, 547, 581, 9674, 789, 941, 8078, 539, 547, 5385, 609, 1142, 824, 1082, 1114, 1919, 799, 1312, 6105, 4941, 563, 25820, 281, 21957, 1269, 5392, 269, 4200, 1284, 616, 513, 17842, 1759, 2228, 8673, 6300, 1341, 642, 1901, 4558, 543, 606, 4013, 17101, 10685, 518, 585, 2789, 12478, 269, 1284, 4163, 476, 1911, 260, 8076, 3312, 12051, 2472, 267, 3388, 568, 607, 6994, 2213, 543, 8013, 569, 11720, 539, 269, 22067, 2638, 721, 693, 8940, 7456, 1794, 2988, 7701, 28022, 269, 1284, 6928, 5001, 543, 1683, 1482, 1554, 11288, 593, 782, 9753, 5116, 1354, 476, 273, 10975, 29643, 269, 20504, 762, 3029, 540, 11033, 1331, 13698, 24688, 3201, 267, 32259, 267, 552, 20675, 2536, 543, 31705, 269, 634, 24517, 6233, 14295, 16466, 22291, 281, 910, 476, 272, 1535, 30211, 7047, 16466, 910, 476, 272, 1535, 9910, 546, 629, 828, 1907, 910, 476, 272, 1535, 7738, 1907, 634, 769, 519, 476, 276, 628, 23422, 24517, 6233, 14295, 16466, 18252, 32680, 268, 5226, 691, 345, 22203, 20386, 538, 21419, 1756, 27810, 547, 11517, 1125, 14589, 267, 11041, 543, 2147, 30211, 269, 634, 5100, 2029, 540, 707, 769, 519, 476, 276, 628, 23422, 3926, 786, 8850, 3002, 547, 6099, 2837, 267, 610, 946, 519, 4756, 6453, 5468, 547, 21160, 707, 1995, 563, 2690, 3236, 267, 1142, 942, 11197, 13847, 513, 1007, 4528, 540, 519, 21236, 267, 519, 2034, 11804, 2344, 585, 4587, 8747, 540, 519, 21236, 21593, 513, 1166, 25744, 540, 2534, 269, 1717, 267, 596, 798, 723, 547, 581, 607, 6297, 609, 519, 30550, 540, 1031, 5370, 607, 596, 1131, 581, 609, 519, 6718, 540, 1031, 5370, 269, 2142, 2386, 3388, 568, 538, 2324, 1931, 543, 2982, 1100, 4191, 540, 1713, 3441, 563, 8196, 938, 5691, 4123, 9304, 1572, 11780, 667, 3326, 1513, 547, 6718, 4376, 596, 1616, 1369, 519, 5385, 269, 3776, 11780, 667, 3326, 1513, 616, 6697, 547, 519, 1871, 540, 519, 8225, 667, 20683, 269, 3776, 2818, 616, 4280, 547, 3902, 741, 2472, 543, 2533, 1369, 519, 5385, 693, 4023, 2344, 1871, 269, 901, 1797, 596, 2628, 4010, 519, 1482, 2179, 585, 519, 6035, 5370, 543, 2533, 607, 596, 1131, 538, 519, 6666, 1158, 269, 634, 1152, 3017, 568, 267, 596, 1631, 723, 519, 2702, 547, 4444, 1919, 693, 513, 10958, 610, 693, 707, 1378, 1942, 540, 3257, 1870, 2336, 4407, 4210, 2355, 640, 23194, 616, 19658, 2228, 267, 922, 5171, 666, 581, 2938, 538, 1483, 1272, 693, 873, 539, 538, 16512, 23396, 10742, 607, 1134, 607, 519, 5993, 14970, 5682, 17842, 16635, 269, 3683, 519, 2250, 1614, 1296, 267, 811, 982, 476, 1839, 267, 1822, 3688, 1765, 27146, 3320, 9660, 267, 2835, 267, 7131, 338, 543, 23861, 338, 1765, 17647, 1044, 2220, 11474, 693, 922, 2621, 267, 15217, 9494, 1004, 10199, 1269, 1220, 267, 1822, 269, 6168, 476, 276, 267, 1822, 3688, 723, 1044, 24603, 547, 17493, 269, 2201, 3328, 267, 1142, 16045, 17990, 1269, 3199, 693, 1169, 23396, 630, 1492, 1871, 540, 3688, 789, 979, 1753, 609, 543, 1131, 723, 6382, 11751, 1040, 901, 1032, 779, 14970, 5682, 2680, 729, 14095, 5103, 519, 15454, 5147, 4365, 281, 2394, 621, 3323, 547, 4764, 8185, 538, 519, 3735, 12784, 267, 1899, 5725, 547, 1205, 883, 519, 3670, 2220, 6260, 512, 757, 838, 10165, 519, 2407, 3259, 540, 519, 7996, 1858, 267, 1287, 25649, 538, 593, 2933, 899, 11063, 687, 269, 4634, 538, 519, 4764, 267, 519, 682, 1136, 512, 757, 11861, 1194, 563, 2005, 5280, 602, 1352, 1185, 1945, 824, 1004, 4941, 269, 968, 2252, 594, 1185, 8854, 538, 543, 6035, 547, 27106, 513, 2650, 585, 513, 1863, 3781, 693, 741, 15678, 16224, 789, 8910, 4440, 723, 1767, 2048, 7224, 10200, 9232, 2290, 4446, 614, 9040, 324, 267, 2961, 569, 15196, 576, 267, 5679, 26860, 3244, 332, 976, 606, 3169, 18187, 320, 540, 513, 19463, 11058, 3244, 332, 976, 1185, 4503, 855, 9939, 1176, 1185, 513, 4605, 540, 9887, 9849, 269, 1879, 621, 3357, 942, 585, 519, 4123, 267, 15196, 576, 1121, 20047, 4743, 16944, 1317, 519, 11058, 729, 865, 2653, 585, 1200, 547, 1118, 267, 543, 1352, 5143, 3244, 332, 976, 865, 269, 3244, 332, 976, 561, 13774, 1117, 281, 621, 729, 11212, 2653, 267, 1352, 5143, 15196, 576, 267, 585, 1200, 547, 2285, 2883, 5796, 269, 898, 729, 513, 16168, 6643, 267, 15196, 576, 3081, 267, 855, 849, 835, 602, 4991, 693, 519, 9759, 540, 3046, 18146, 281, 950, 2724, 568, 3144, 856, 540, 519, 3830, 267, 1871, 568, 513, 3001, 267, 2688, 14184, 1523, 11652, 602, 779, 1175, 519, 1259, 1034, 536, 691, 18996, 899, 621, 563, 10190, 1586, 267, 621, 779, 835, 3364, 547, 1832, 513, 2146, 9800, 543, 1134, 950, 3025, 779, 22742, 538, 513, 4104, 543, 789, 4076, 782, 1904, 539, 538, 547, 602, 5075, 269, 898, 779, 3833, 1776, 547, 4952, 513, 10516, 4346, 7175, 3425, 547, 1628, 1236, 903, 322, 1905, 619, 267, 6427, 1775, 4942, 2158, 267, 2322, 2011, 2783, 619, 538, 1169, 2777, 267, 543, 2263, 2230, 269, 630, 763, 1482, 4422, 585, 10655, 9204, 543, 4881, 1804, 4213, 4700, 3502, 602, 621, 779, 606, 782, 11399, 5991, 5847, 3510, 281, 1284, 2907, 723, 10516, 11615, 1851, 2828, 543, 1920, 269, 12344, 9750, 602, 1369, 1507, 2950, 568, 2009, 282, 621, 779, 6157, 14909, 563, 4467, 3966, 625, 949, 1616, 547, 30550, 741, 2472, 585, 824, 2472, 1317, 789, 798, 711, 723, 519, 5491, 610, 6666, 547, 4444, 1346, 5370, 269, 898, 568, 606, 3608, 1259, 547, 4123, 1317, 519, 4220, 540, 4914, 5385, 616, 17515, 269, 634, 1034, 1455, 4207, 1383, 540, 1870, 3562, 1532, 5350, 30550, 8852, 568, 606, 5385, 540, 10229, 942, 610, 2230, 282, 621, 568, 6093, 585, 4130, 10909, 547, 4123, 519, 2924, 547, 14441, 593, 1142, 1866, 262, 1870, 5624, 269, 4446, 18146, 849, 4386, 1851, 3549, 543, 2043, 269, 1280, 1383, 267, 606, 8051, 6109, 666, 1683, 606, 8051, 1867, 585, 606, 3167, 1014, 538, 5385, 585, 2348, 922, 13646, 17370, 1600, 676, 519, 3167, 1014, 563, 1103, 476, 1001, 271, 267, 1744, 27553, 10557, 3244, 332, 976, 1185, 621, 2653, 269, 9282, 519, 4346, 729, 1079, 1296, 883, 922, 21748, 776, 561, 3420, 267, 1352, 1185, 513, 5150, 2816, 693, 29928, 267, 670, 4526, 543, 3345, 267, 513, 536, 719, 1664, 7345, 9335, 5092, 6109, 269, 2701, 729, 476, 1839, 1296, 2025, 543, 15980, 1269, 4649, 267, 1822, 513, 1032, 267, 7132, 13755, 4926, 269, 2701, 1185, 1100, 7963, 267, 1100, 3214, 267, 543, 2614, 25551, 4747, 547, 15191, 1055, 547, 2342, 609, 1200, 7911, 23136, 543, 2628, 1200, 5491, 3556, 12014, 593, 942, 269, 3244, 332, 976, 568, 9141, 543, 2498, 12883, 1417, 267, 543, 814, 519, 23406, 12402, 547, 17277, 883, 8630, 10275, 573, 27325, 269, 24935, 540, 1200, 942, 1394, 1287, 267, 1352, 3081, 281, 968, 296, 729, 3440, 514, 685, 3034, 2304, 14595, 9304, 267, 21000, 3990, 538, 11668, 942, 267, 1131, 2061, 7443, 2921, 676, 1647, 5443, 282, 782, 5370, 22121, 1131, 581, 11720, 539, 1152, 538, 2474, 540, 519, 2179, 540, 11668, 602, 4682, 883, 873, 607, 6829, 538, 519, 12366, 1412, 21798, 519, 3970, 540, 3902, 8339, 898, 2968, 519, 4493, 540, 15377, 538, 5507, 267, 543, 538, 3013, 267, 1141, 519, 2856, 729, 8045, 693, 519, 1715, 24442, 18497, 11175, 676, 21280, 11672, 25303, 538, 476, 9264, 277, 267, 543, 538, 1010, 595, 32385, 10620, 1412, 11742, 4558, 262, 538, 476, 9264, 278, 269, 25303, 2093, 941, 7550, 676, 824, 32139, 2572, 543, 9304, 6963, 619, 267, 1256, 1498, 519, 11668, 15377, 941, 5266, 2110, 5030, 563, 8448, 2477, 267, 1498, 267, 798, 711, 723, 519, 8989, 10421, 602, 519, 772, 2529, 269, 1281, 7282, 23131, 689, 30550, 8852, 267, 855, 21259, 568, 17411, 519, 1482, 1259, 607, 513, 6666, 11834, 269, 1403, 835, 3046, 1562, 585, 513, 7443, 267, 835, 17188, 519, 3617, 3454, 282, 952, 835, 12958, 513, 2530, 538, 519, 11834, 267, 789, 723, 513, 2530, 269, 4446, 18146, 585, 1870, 568, 849, 3454, 539, 9935, 607, 1870, 4747, 610, 1870, 13258, 269, 3509, 30550, 15377, 2154, 602, 835, 11578, 607, 513, 1870, 563, 8505, 558, 12067, 24371, 585, 22312, 289, 1513, 585, 22312, 289, 534, 21103, 8065, 338, 585, 22312, 289, 584, 3455, 31777, 1218, 585, 22312, 6826, 2246, 344, 1299, 9608, 5516, 24371, 585, 22312, 17746, 2315, 1299, 14924, 25597, 24371, 585, 22312, 3519, 1597, 1466 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4473, 540, 2789, 1514, 5867, 269, 4340, 547, 513, 1867, 676, 20648, 267, 519, 3979, 4670, 2872, 12958, 10199, 476, 2004, 8874, 1169, 3018, 543, 18271, 476, 272, 2929, 1004, 2429, 519, 14266, 267, 3892, 267, 543, 2504, 9922, 269, 898, 18271, 811, 4600, 982, 1022, 824, 2872, 267, 2034, 1152, 547, 6683, 269, 6904, 568, 1946, 649, 941, 4278, 2683, 950, 15584, 7054, 2426, 340, 8359, 547, 1353, 4670, 543, 26725, 2504, 693, 938, 20576, 563, 288, 4535, 1650, 339, 11839, 267, 15584, 814, 2141, 5326, 339, 540, 28068, 8874, 543, 25643, 2518, 2984, 865, 19142, 909, 585, 513, 4670, 543, 26725, 1576, 729, 519, 1101, 1900, 538, 4890, 1944, 1010, 9909, 267, 799, 607, 700, 1575, 7534, 3081, 267, 616, 4570, 269, 1809, 1256, 811, 865, 538, 15584, 685, 2013, 1317, 540, 519, 6909, 3255, 538, 519, 5823, 269, 634, 4670, 543, 24384, 990, 529, 783, 2872, 568, 835, 540, 519, 1034, 6422, 2208, 9922, 538, 519, 1158, 269, 7913, 4066, 616, 6117, 4028, 2208, 538, 2504, 563, 5475, 4271, 908, 267, 646, 9250, 3213, 5085, 29368, 267, 606, 2228, 7641, 3760, 602, 568, 4867, 4881, 1169, 3018, 593, 1514, 2923, 5867, 593, 513, 12353, 4493, 267, 547, 5721, 543, 21927, 1053, 693, 661, 326, 30639, 2160, 269, 769, 1840, 547, 4670, 543, 26725, 267, 15584, 568, 13730, 827, 6683, 543, 2518, 1426, 3354, 865, 646, 1305, 827, 6721, 6694, 2866, 7044, 585, 6705, 538, 13280, 267, 19168, 267, 543, 5689, 25596, 269, 901, 10167, 540, 6683, 543, 4670, 602, 15584, 5249, 593, 12217, 4304, 563, 13070, 3472, 675, 814, 2141, 1044, 4105, 547, 15057, 779, 4346, 543, 1082, 824, 3979, 2477, 676, 10137, 269, 2060, 2029, 7683, 9687, 267, 6705, 723, 1185, 547, 11457, 609, 621, 267, 4758, 4473, 547, 3381, 6725, 269, 27678, 616, 4742, 811, 543, 811, 1713, 538, 6694, 2069, 267, 2866, 267, 543, 10137, 269, 27678, 616, 4749, 1031, 676, 3173, 267, 31548, 267, 543, 6705, 547, 3561, 741, 2361, 1740, 543, 2697, 6932, 3466, 269, 27678, 616, 1373, 1031, 811, 4749, 538, 1382, 3785, 607, 513, 5057, 540, 519, 1788, 23425, 2238, 269, 27678, 666, 581, 1031, 547, 1459, 513, 2647, 2039, 540, 3584, 1644, 547, 6683, 267, 1519, 3684, 23405, 267, 2866, 7886, 267, 18862, 267, 4052, 10124, 267, 2621, 267, 519, 3892, 540, 1382, 4681, 547, 1585, 8639, 267, 610, 642, 8421, 338, 538, 799, 6705, 2594, 543, 1865, 741, 960, 593, 519, 3484, 269, 27678, 948, 547, 2743, 519, 2591, 540, 22412, 908, 1344, 547, 6705, 543, 849, 8757, 519, 4057, 543, 12790, 8105, 2950, 269, 15584, 1483, 2213, 519, 1764, 540, 4670, 538, 6683, 543, 5249, 609, 1896, 6705, 593, 519, 11782, 547, 4001, 519, 1158, 827, 1426, 2504, 543, 6683, 563, 24916, 6683, 267, 646, 849, 3096, 1010, 1983, 538, 4670, 2504, 543, 28068, 547, 1489, 1585, 1480, 2924, 2516, 269, 2290, 540, 1010, 8874, 13428, 267, 799, 729, 2854, 676, 717, 3271, 807, 918, 1177, 4275, 267, 729, 513, 16335, 4670, 602, 4465, 519, 1655, 6429, 8929, 593, 6049, 538, 519, 7330, 269, 2290, 540, 1010, 824, 8874, 1759, 593, 21058, 2637, 1388, 23688, 7976, 538, 15057, 543, 2854, 676, 28792, 20855, 10937, 4465, 606, 8366, 585, 7454, 17912, 593, 26291, 543, 5274, 7126, 693, 519, 15057, 29550, 30765, 543, 17912, 16635, 538, 4728, 476, 1001, 280, 563, 17730, 6209, 543, 26374, 1543, 568, 15584, 685, 3119, 5075, 585, 1010, 4876, 538, 4670, 543, 26725, 2504, 269, 1261, 13922, 547, 2995, 811, 8076, 2984, 540, 3979, 1004, 269, 1261, 568, 4867, 2324, 593, 6721, 1079, 7641, 2982, 269, 1284, 616, 10583, 540, 15584, 543, 3112, 7227, 547, 1294, 1141, 1010, 2984, 1291, 721, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 798, 538, 707, 22302, 942, 1223, 581, 24673, 883, 606, 1557, 1888, 563, 9596, 693, 772, 300, 6363, 331, 842, 454, 297, 11055, 6807, 267, 18919, 281, 7994, 1945, 596, 917, 827, 269, 1403, 596, 1404, 10340, 20671, 3756, 267, 1382, 519, 1483, 1686, 3297, 835, 540, 519, 3540, 328, 3074, 269, 6875, 707, 1034, 2596, 2856, 543, 2196, 609, 621, 269, 5213, 1405, 581, 12922, 547, 3605, 1007, 1919, 543, 12189, 610, 13217, 707, 1888, 563, 15675, 513, 1888, 454, 6826, 5765, 513, 21988, 7216, 19396, 1763, 792, 7815, 269, 1284, 4126, 713, 2985, 729, 5363, 543, 3177, 596, 609, 930, 1344, 827, 519, 1283, 476, 1015, 4388, 547, 3442, 606, 1557, 1888, 269, 1280, 1383, 267, 1412, 1492, 4249, 540, 9956, 262, 568, 711, 513, 1888, 596, 1616, 547, 1491, 593, 8259, 596, 2811, 1603, 513, 476, 272, 267, 2457, 1433, 563, 3674, 972, 606, 2460, 540, 513, 1362, 602, 596, 616, 5461, 538, 1565, 811, 827, 888, 8196, 5680, 3406, 9817, 563, 1607, 666, 948, 547, 6542, 23440, 609, 7835, 538, 4143, 14172, 827, 707, 1888, 267, 1683, 513, 1797, 540, 9236, 3140, 8957, 4207, 2152, 543, 2621, 267, 543, 7114, 1883, 1004, 267, 4025, 267, 543, 2621, 602, 1185, 606, 1271, 1909, 1644, 547, 519, 1382, 1966, 563, 16240, 17785, 5213, 1405, 581, 513, 6742, 10455, 2336, 3721, 476, 278, 281, 2659, 1101, 2856, 786, 3592, 2141, 581, 1932, 2462, 269, 2659, 5098, 3948, 786, 2356, 581, 835, 610, 1079, 5220, 602, 2829, 10502, 1018, 568, 547, 581, 12943, 267, 8810, 267, 610, 1018, 596, 786, 1217, 707, 5304, 827, 707, 1888, 563, 9596, 6168, 772, 300, 6363, 331, 842, 454, 2237, 1524, 930, 540, 519, 3584, 602, 616, 2009, 269, 7732, 24727, 29922, 513, 13445, 634, 2702, 547, 1020, 513, 1434, 1382, 1888, 568, 606, 1271, 5578, 269, 1215, 547, 3442, 513, 1888, 585, 606, 1557, 610, 1382, 1957, 19805, 606, 1557, 1888, 568, 835, 540, 519, 1034, 1271, 2694, 540, 1603, 513, 1390, 1557, 610, 1957, 269, 1280, 1383, 267, 513, 2140, 1223, 581, 281, 1358, 786, 1745, 1166, 13593, 602, 596, 4280, 873, 543, 786, 4440, 2285, 930, 1390, 2093, 563, 6524, 8939, 707, 1888, 267, 1118, 2386, 596, 917, 1018, 707, 3803, 1788, 1058, 1413, 899, 269, 3962, 1362, 610, 14357, 786, 2693, 2154, 513, 1114, 3898, 610, 2511, 540, 269, 1215, 798, 596, 6430, 1018, 547, 2328, 827, 950, 21947, 609, 513, 1382, 1957, 286, 1411, 1616, 513, 5059, 1888, 602, 786, 1118, 513, 1434, 1957, 563, 305, 1430, 982, 3843, 547, 1491, 593, 513, 7372, 1788, 267, 4584, 1945, 596, 2907, 917, 827, 547, 2328, 269, 10312, 593, 2659, 13445, 5901, 621, 19242, 589, 1888, 786, 581, 1360, 2352, 547, 1382, 952, 621, 568, 1932, 3376, 610, 7522, 269, 4595, 1514, 2257, 1382, 4574, 616, 3622, 2966, 547, 1205, 596, 547, 1020, 707, 1378, 2093, 543, 7440, 267, 1413, 585, 2959, 602, 666, 948, 22962, 267, 12189, 267, 610, 7794, 707, 3355, 4555, 543, 7440, 269, 0, 300, 784, 328, 2098, 2131, 686, 543, 8751, 744, 3691, 5633, 454, 9281, 3008, 22362, 267, 2160, 540, 8419, 454, 2414, 2226, 513, 14323, 20521, 2872, 267, 8419, 25210, 1590, 9846, 543, 17215, 3132, 1804, 267, 1164, 7779, 4829, 7031, 1032, 1310, 1032, 269, 31478, 569, 6721, 5021, 11729, 540, 1164, 7779, 4829, 568, 2352, 1510, 1620, 3037, 543, 8770, 4170, 540, 12946, 20521, 4054, 563, 7197, 8419, 20521, 568, 6738, 593, 11934, 20244, 1970, 538, 12680, 609, 1970, 524, 566, 7721, 4219, 4390, 630, 290, 4488, 264, 543, 1970, 1216, 3620, 13783, 4390, 282, 3976, 267, 11934, 616, 8572, 547, 11677, 6190, 9424, 540, 2139, 2030, 5567, 1996, 30450, 3361, 676, 11811, 610, 7050, 12555, 269, 0, 763, 31456, 25688, 610, 24933, 10260, 267, 849, 1634, 607, 519, 18287, 2033, 531, 25688, 267, 568, 513, 25688, 540, 519, 1394, 540, 519, 1850, 267, 543, 519, 5394, 652, 538, 519, 1480, 1560, 269, 898, 5713, 547, 8936, 519, 2030, 30213, 267, 8819, 10635, 26937, 3780, 630, 322, 2788, 264, 543, 6852, 639, 6091, 547, 519, 18287, 2033, 639, 630, 31856, 264, 5642, 269, 1452, 6091, 267, 9117, 3842, 519, 25688, 267, 2014, 2030, 541, 4827, 542, 540, 519, 3723, 693, 519, 21721, 267, 543, 630, 21955, 6852, 639, 264, 4827, 542, 693, 519, 12597, 563, 763, 31456, 25688, 610, 18287, 2033, 531, 25688, 568, 7923, 547, 519, 8819, 10635, 26937, 3780, 543, 6852, 639, 6091, 563, 347, 19613, 1475, 12988, 540, 519, 2539, 1850, 2008, 30054, 11294, 1475, 339, 754, 334, 18287, 2033, 639, 267, 4043, 334, 21926, 650, 529, 2008, 763, 31456, 25688, 13462, 4887, 547, 5642, 267, 899, 824, 28844, 267, 543, 568, 4092, 693, 519, 1394, 540, 519, 2539, 1850, 269, 634, 31456, 25688, 13462, 519, 8819, 10635, 26937, 3780, 543, 6852, 639, 6091, 547, 519, 18287, 2033, 531, 16321, 13920, 593, 519, 18287, 2033, 639, 630, 31856, 5642, 1040, 634, 25688, 5956, 2282, 519, 1647, 540, 519, 28419, 267, 543, 11392, 4887, 11103, 593, 922, 6418, 2627, 267, 3226, 689, 519, 6852, 639, 4887, 267, 3592, 547, 922, 2539, 1439, 269, 26431, 30034, 2630, 267, 621, 7696, 338, 883, 519, 1647, 851, 540, 519, 1394, 540, 519, 18287, 2033, 639, 5642, 269, 634, 25688, 19082, 856, 10169, 693, 922, 2539, 1439, 865, 602, 922, 7522, 652, 851, 568, 827, 476, 275, 4699, 630, 272, 269, 277, 538, 264, 1657, 922, 24450, 563, 763, 25688, 568, 4988, 676, 519, 3673, 807, 543, 2960, 267, 543, 6763, 856, 30326, 3297, 519, 5642, 282, 519, 7934, 568, 4904, 909, 609, 616, 6897, 543, 28539, 846, 5160, 269, 589, 536, 2720, 320, 6013, 1063, 519, 25688, 543, 519, 5580, 851, 540, 519, 18287, 2033, 639, 269, 898, 568, 827, 476, 1428, 1298, 22015, 637, 630, 277, 538, 264, 1279, 269, 13966, 519, 2427, 540, 519, 4887, 267, 543, 21603, 547, 621, 267, 568, 519, 1507, 18682, 1156, 748, 18916, 269, 634, 521, 1116, 8229, 519, 9018, 8473, 540, 519, 25688, 827, 476, 1015, 4699, 2630, 1141, 621, 1140, 2851, 547, 519, 5642, 269, 634, 25688, 568, 519, 5394, 652, 25688, 538, 519, 1480, 1560, 269, 898, 666, 4309, 513, 4452, 2566, 476, 274, 269, 280, 2053, 1560, 2597, 1282, 6972, 543, 476, 278, 269, 278, 2053, 1560, 2597, 950, 4881, 563, 8002, 532, 3842, 519, 31456, 25688, 267, 519, 8819, 10635, 26937, 3780, 543, 6852, 639, 6091, 2014, 2030, 541, 4827, 542, 540, 519, 3723, 693, 519, 21721, 269, 901, 2962, 6770, 519, 6852, 540, 519, 3723, 6251, 547, 519, 1394, 540, 519, 1850, 269, 634, 8819, 10635, 26937, 3780, 849, 4827, 525, 519, 1850, 693, 519, 12597, 269, 5637, 6091, 616, 7961, 969, 730, 676, 519, 512, 756, 658, 8229, 269, 5221, 519, 26939, 540, 519, 25688, 18700, 827, 476, 3445, 5232, 267, 26939, 689, 519, 8819, 10635, 26937, 3780, 4043, 547, 8936, 547, 519, 9018, 851, 540, 519, 5642, 267, 6466, 26939, 689, 519, 1151, 639, 4043, 547, 8936, 6251, 547, 519, 4571, 1467, 563, 309, 12299, 540, 519, 25688, 1510, 5075, 814, 513, 2101, 1764, 593, 2022, 1116, 10066, 269, 966, 12299, 540, 519, 25688, 3123, 3350, 23651, 543, 519, 21903, 540, 513, 4464, 1560, 28550, 538, 7555, 5396, 269, 901, 568, 1317, 21513, 12954, 4887, 838, 785, 956, 538, 519, 28419, 6091, 269, 634, 4887, 838, 785, 956, 10332, 519, 2634, 602, 519, 1560, 568, 3001, 4464, 267, 865, 519, 3844, 8401, 1062, 9104, 919, 676, 3001, 519, 1560, 23651, 563, 1103, 25691, 540, 519, 31456, 25688, 568, 1572, 31456, 4043, 514, 4345, 269, 31456, 4043, 514, 2670, 568, 519, 15319, 1145, 610, 20765, 540, 519, 25688, 267, 3226, 8338, 950, 16706, 267, 543, 3622, 1813, 547, 936, 2224, 269, 634, 1034, 1455, 2589, 616, 1928, 543, 11926, 1472, 519, 4299, 25688, 269, 634, 1928, 568, 3335, 8338, 693, 519, 1376, 540, 3635, 543, 11081, 27502, 269, 853, 858, 1145, 540, 519, 21721, 949, 849, 581, 1459, 269, 744, 985, 564, 568, 3622, 16795, 563, 2005, 4122, 4386, 607, 513, 1267, 540, 936, 2224, 971, 607, 4881, 269, 4033, 1981, 2188, 1331, 8194, 267, 513, 6197, 602, 2882, 2370, 3635, 267, 1164, 13463, 601, 10887, 267, 27131, 12263, 267, 543, 6527, 540, 519, 14806, 13228, 26096, 821, 610, 32104, 1362, 269, 23369, 568, 3622, 1759, 593, 2589, 543, 6514, 563, 4407, 15198, 543, 5751, 547, 7794, 519, 28419, 616, 1419, 5227, 585, 6604, 267, 2963, 547, 1489, 891, 3800, 568, 4057, 269, 9615, 3335, 3322, 1964, 267, 4672, 267, 1875, 268, 3122, 18042, 4550, 514, 11987, 8069, 630, 301, 6347, 31312, 1070, 543, 2168, 3797, 269, 589, 24933, 12740, 610, 9647, 18352, 949, 849, 581, 5363, 269, 769, 1346, 538, 945, 2589, 2063, 811, 982, 3670, 3275, 5103, 824, 5574, 267, 6391, 949, 581, 2808, 269, 31456, 4043, 514, 4345, 568, 5266, 1455, 563, 288, 577, 14792, 25688, 23979, 630, 339, 754, 514, 2670, 264, 568, 3335, 11567, 609, 2901, 18909, 610, 16953, 269, 769, 1312, 2665, 267, 519, 25688, 568, 5394, 2989, 267, 949, 6542, 4478, 6553, 676, 16495, 540, 519, 4527, 540, 1612, 22760, 517, 4345, 267, 1427, 20934, 322, 2033, 531, 610, 27164, 268, 778, 14792, 536, 2720, 4345, 269, 10738, 519, 25688, 267, 2799, 1973, 2095, 267, 25688, 27417, 559, 771, 6716, 5314, 267, 543, 9864, 11098, 17229, 949, 581, 4857, 269, 31456, 4043, 514, 2670, 4749, 3322, 519, 4571, 6712, 540, 519, 25688, 855, 949, 4125, 519, 24450, 267, 799, 568, 1287, 1634, 607, 1303, 1127, 14527, 269, 9282, 1303, 1127, 14527, 949, 581, 2938, 538, 519, 2796, 540, 14027, 2085, 267, 621, 568, 849, 2404, 609, 12263, 971, 607, 30456, 543, 519, 1583, 821, 326, 894, 838, 1180, 2643, 334, 14390, 527, 1938, 269, 31456, 4043, 514, 2670, 568, 513, 1634, 1981, 3815, 585, 28419, 4887, 17229, 563, 288, 577, 14792, 25688, 28230, 568, 950, 519, 31456, 25688, 9397, 269, 12580, 1331, 519, 6727, 12614, 540, 8325, 1928, 538, 519, 24933, 269, 589, 2879, 6260, 3280, 949, 581, 4862, 607, 519, 25688, 9397, 543, 6972, 3587, 2352, 563, 305, 340, 20567, 3335, 4386, 607, 513, 1267, 540, 513, 6727, 19755, 909, 540, 519, 3723, 950, 519, 28419, 4887, 568, 7722, 267, 1463, 8194, 267, 610, 1279, 29280, 25688, 4345, 269, 4033, 1981, 2188, 1331, 519, 946, 540, 14806, 13228, 26096, 2158, 267, 513, 1713, 1689, 538, 3635, 267, 27131, 12263, 267, 30456, 267, 610, 29416, 8803, 1355, 946, 269, 23369, 568, 3335, 1759, 593, 2589, 543, 6514, 543, 6462, 676, 2564, 9196, 269, 31456, 25688, 28230, 4386, 538, 827, 476, 272, 829, 476, 1015, 267, 1822, 1004, 829, 1032, 269, 631, 2297, 616, 811, 4122, 4299, 982, 8951, 269, 4658, 538, 741, 476, 1789, 338, 547, 476, 2004, 338, 616, 1034, 4122, 4299, 563, 7093, 3685, 949, 1331, 15198, 1354, 2534, 269, 9615, 949, 581, 676, 6391, 610, 16213, 609, 519, 19462, 10169, 11329, 1524, 269, 4039, 8271, 4028, 2132, 547, 2597, 12946, 630, 5976, 514, 476, 275, 4374, 264, 5526, 15502, 269, 634, 1981, 540, 556, 268, 4533, 675, 568, 827, 476, 1839, 260, 609, 16213, 269, 1403, 3617, 2126, 1281, 711, 2049, 1369, 476, 275, 4374, 540, 519, 5945, 4093, 616, 711, 607, 1434, 563, 763, 31456, 262, 25688, 568, 1419, 7318, 607, 851, 540, 513, 14715, 6514, 269, 769, 713, 6514, 267, 519, 25688, 568, 5734, 609, 513, 25688, 17200, 269, 901, 4255, 519, 590, 272, 543, 590, 273, 11983, 13285, 281, 513, 3339, 3210, 568, 2030, 541, 4827, 542, 630, 6658, 1189, 3350, 264, 540, 519, 3723, 563, 25583, 610, 6712, 540, 25688, 4299, 3097, 30509, 689, 3425, 267, 519, 31456, 25688, 568, 2110, 610, 15534, 538, 1390, 3284, 525, 267, 855, 1279, 538, 818, 321, 648, 531, 575, 756, 19490, 543, 3425, 269, 898, 2488, 13412, 1648, 4859, 538, 5577, 4771, 267, 6972, 267, 543, 4881, 269, 8950, 3631, 2303, 713, 1648, 4859, 31456, 25688, 4679, 1283, 4881, 3432, 676, 3436, 3199, 260, 543, 6971, 4881, 3790, 676, 811, 982, 1614, 6709, 11467, 269, 898, 814, 1044, 6700, 602, 519, 834, 11274, 775, 540, 513, 1134, 31465, 31456, 25688, 538, 519, 1875, 16058, 3979, 3284, 525, 1131, 840, 2850, 873, 689, 2500, 4881, 267, 1312, 693, 1164, 11250, 543, 936, 6905, 9883, 4799, 763, 9510, 8153, 2854, 2594, 540, 519, 25688, 1373, 3957, 585, 31456, 568, 538, 476, 15433, 274, 676, 519, 674, 12661, 880, 22230, 8553, 20133, 558, 626, 17722, 7638, 30750, 523, 269, 769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4207, 3646, 547, 8396, 2916, 1689, 543, 2413, 1125, 519, 5122, 7470, 780, 8624, 11102, 1143, 543, 4706, 7831, 532, 8177, 593, 7087, 18877, 692, 29378, 5095, 723, 1279, 1044, 1641, 547, 17091, 543, 30886, 676, 3864, 13896, 538, 3345, 3013, 269, 901, 1184, 3459, 609, 519, 12625, 540, 18332, 19090, 538, 476, 14983, 273, 543, 4797, 998, 519, 10661, 540, 519, 2136, 2276, 607, 513, 4182, 269, 4438, 713, 942, 267, 6805, 3338, 941, 3144, 267, 4529, 941, 2144, 1078, 267, 543, 5065, 9082, 941, 7142, 5196, 31681, 267, 1419, 609, 3908, 2200, 543, 3255, 269, 1452, 3527, 1185, 7096, 5222, 593, 6805, 2950, 602, 3136, 547, 581, 5433, 2221, 780, 20245, 32641, 543, 2598, 2889, 15251, 622, 22452, 547, 2657, 18171, 1841, 692, 3080, 971, 1764, 814, 1044, 519, 19018, 622, 4598, 540, 6805, 2950, 547, 2825, 1072, 10898, 269, 7025, 10168, 4016, 547, 519, 2259, 540, 11093, 6757, 3653, 6703, 267, 3542, 5024, 6080, 267, 543, 824, 2959, 540, 5533, 538, 16133, 547, 1970, 13867, 2950, 543, 2950, 540, 2681, 267, 4611, 538, 2362, 3928, 540, 2942, 1072, 4093, 269, 1280, 3236, 267, 7111, 1977, 31681, 4749, 3984, 13476, 5739, 3785, 899, 20879, 5599, 267, 3282, 17656, 267, 543, 5755, 30187, 1379, 2371, 1813, 547, 741, 6552, 6753, 543, 9228, 2797, 13438, 780, 11514, 10293, 543, 13809, 540, 8836, 8249, 692, 12234, 267, 6805, 5095, 723, 5185, 7368, 8320, 540, 12761, 2429, 1686, 269, 634, 4070, 540, 21394, 267, 28565, 267, 543, 824, 5989, 3785, 814, 8507, 538, 519, 14700, 540, 18577, 4630, 601, 1343, 543, 10723, 4609, 267, 27200, 2686, 2853, 543, 2757, 2081, 540, 1272, 269, 1323, 1383, 540, 713, 568, 519, 12032, 540, 519, 3794, 523, 24258, 12456, 538, 476, 3422, 274, 267, 799, 24760, 5215, 540, 15456, 4609, 543, 1713, 2067, 2934, 1369, 8235, 18120, 749, 267, 4929, 9048, 1706, 762, 3441, 547, 519, 2686, 6561, 540, 6237, 11031, 780, 17457, 1944, 519, 24542, 25373, 543, 25392, 7087, 21126, 692, 4415, 519, 3395, 23473, 547, 2232, 2916, 1689, 267, 972, 568, 2799, 2604, 547, 2413, 1125, 519, 5201, 7470, 543, 6451, 811, 7791, 1648, 2959, 269, 1717, 267, 1416, 1590, 581, 3144, 547, 2327, 602, 891, 3646, 798, 711, 28511, 2250, 4636, 338, 1996, 6805, 2950, 269, 30459, 6805, 5380, 883, 519, 3375, 6194, 1184, 568, 2629, 585, 8236, 12581, 543, 4264, 3435, 780, 30655, 566, 543, 3213, 268, 21551, 692, 10870, 10869, 4485, 5473, 6805, 1702, 25963, 267, 3906, 267, 543, 6608, 1058, 581, 7550, 950, 8888, 1007, 1648, 5989, 269, 20985, 3157, 5512, 6209, 7589, 689, 782, 8639, 267, 4180, 602, 6805, 9739, 616, 4862, 543, 15197, 269, 3958, 267, 1071, 2275, 11661, 3435, 26342, 519, 2189, 4276, 6805, 2950, 723, 547, 519, 2244, 543, 11942, 3972, 1851, 6105, 3238, 780, 26296, 11588, 543, 16763, 19662, 692, 2691, 4058, 543, 7598, 1007, 1648, 5989, 267, 24990, 1058, 8362, 3343, 2081, 547, 1683, 2804, 5383, 543, 2816, 3255, 547, 6805, 2950, 269, 11038, 15314, 949, 1331, 3838, 9562, 3889, 267, 7443, 4687, 11650, 267, 543, 13781, 1646, 3292, 6322, 693, 2810, 6805, 6041, 538, 519, 3039, 4346, 269, 21278, 2866, 543, 2069, 5849, 602, 6805, 2043, 2744, 1569, 547, 1134, 1790, 11691, 11678, 2404, 609, 519, 5912, 4724, 513, 7791, 1648, 2104, 780, 6962, 692, 8139, 519, 3140, 2796, 540, 6805, 2833, 609, 19525, 267, 2825, 10168, 267, 543, 12761, 2636, 721, 547, 1732, 5660, 519, 2591, 6849, 891, 2950, 607, 519, 2136, 2276, 11394, 547, 2413, 1125, 922, 5201, 7470, 269, 1635, 6220, 6805, 5380, 267, 5356, 2883, 2640, 267, 543, 2870, 7694, 3255, 267, 649, 666, 11441, 585, 513, 22928, 267, 811, 8537, 267, 543, 1175, 1648, 2104, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 2136, 2276, 2115, 547, 2413, 1125, 922, 5201, 7470, 547, 11753, 519, 1804, 2179, 540, 7791, 1379, 2877, 547, 8396, 2916, 1689, 543, 547, 2087, 519, 7470, 779, 10727, 269, 1215, 666, 649, 1118, 2386, 891, 2242, 616, 1500, 538, 519, 1034, 3743, 1259, 2009, 543, 1018, 2152, 798, 649, 991, 547, 2015, 888, 2414, 20920, 609, 891, 2055, 267, 513, 1895, 540, 930, 476, 1839, 2146, 543, 2825, 5126, 3401, 267, 3167, 7470, 19767, 267, 543, 4074, 13222, 267, 1519, 772, 5425, 5234, 2818, 267, 1558, 538, 1715, 20252, 267, 17039, 538, 476, 1708, 273, 269, 4256, 5717, 3366, 547, 513, 1305, 540, 3741, 602, 666, 948, 3391, 3167, 7470, 3375, 14708, 1247, 5355, 2146, 1072, 267, 2870, 1434, 2199, 6009, 267, 3246, 2883, 2640, 267, 9319, 3606, 24675, 593, 2950, 2907, 7925, 547, 2825, 1072, 10898, 267, 543, 17516, 513, 6325, 267, 2973, 267, 543, 7791, 5201, 1062, 585, 5481, 547, 2097, 563, 763, 1739, 7700, 4589, 15548, 538, 6721, 713, 3561, 912, 268, 2051, 514, 1635, 619, 267, 5742, 540, 19634, 2740, 6982, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23208, 15638, 18748, 532, 7087, 24447, 257, 607, 851, 540, 834, 16300, 13493, 1315, 7087, 1315, 3778, 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, 6637, 2473, 281, 6925, 2334, 5700, 338, 2659, 10610, 1849, 1442, 281, 1323, 4985, 547, 20048, 984, 5735, 692, 5970, 596, 2479, 8068, 875, 707, 1648, 2157, 1689, 2429, 519, 1554, 286, 9320, 596, 1745, 3063, 3207, 344, 1282, 2979, 1362, 538, 519, 12784, 610, 811, 10332, 1282, 12424, 1310, 12899, 269, 901, 568, 1317, 938, 4703, 723, 1945, 1572, 513, 6211, 9219, 267, 799, 2337, 10038, 950, 649, 1745, 25805, 610, 13110, 269, 12207, 945, 1353, 713, 2361, 1289, 621, 834, 11388, 984, 5735, 3010, 3719, 1705, 596, 917, 602, 4915, 666, 849, 960, 609, 938, 1560, 23234, 286, 2368, 11955, 616, 2966, 547, 581, 3144, 693, 1808, 2053, 540, 519, 1554, 547, 6474, 519, 1259, 1978, 10108, 13789, 269, 1452, 2027, 2010, 540, 11955, 616, 1572, 24421, 8684, 3075, 6765, 1949, 269, 1358, 2811, 1500, 547, 2285, 721, 6646, 1175, 950, 649, 991, 621, 267, 1759, 593, 938, 2067, 18819, 2439, 5331, 2348, 10447, 267, 1141, 3006, 596, 1522, 6560, 547, 13236, 269, 2060, 2834, 10447, 4915, 267, 596, 1491, 621, 8164, 2877, 267, 855, 1018, 952, 972, 729, 513, 1732, 1259, 286, 2060, 24421, 8684, 3075, 6765, 267, 707, 4915, 1223, 581, 5950, 7444, 883, 707, 1062, 936, 942, 267, 1287, 3533, 1683, 811, 4915, 4010, 950, 707, 10447, 2589, 2356, 1205, 8338, 1765, 16673, 2041, 3735, 693, 3781, 610, 2038, 6640, 269, 1215, 3579, 1131, 602, 581, 31841, 2080, 781, 1776, 1383, 281, 1589, 827, 2576, 2713, 609, 3987, 269, 28611, 789, 1590, 2638, 741, 1973, 4006, 2157, 1419, 543, 7630, 7378, 607, 2838, 269, 1809, 1631, 4952, 513, 5100, 7378, 15429, 602, 13847, 519, 9449, 20406, 2429, 519, 1554, 6730, 3947, 606, 3063, 5818, 540, 7378, 1472, 803, 5306, 830, 610, 950, 1973, 4006, 26389, 30122, 269, 3143, 811, 3586, 9416, 533, 9581, 610, 7928, 15833, 2439, 3383, 875, 1281, 782, 713, 9059, 4755, 286, 4270, 267, 891, 2706, 23337, 691, 5061, 2097, 538, 1585, 3029, 267, 899, 21447, 267, 15649, 267, 610, 1256, 1507, 18032, 896, 519, 2960, 269, 7981, 2326, 899, 22169, 630, 6518, 616, 899, 16681, 15229, 14386, 1852, 950, 543, 875, 3728, 519, 4915, 2501, 856, 269, 6884, 267, 891, 2326, 23271, 610, 2736, 6306, 865, 602, 811, 4915, 666, 9101, 782, 693, 2899, 269, 4033, 2053, 267, 789, 2220, 749, 909, 610, 16756, 4470, 593, 2837, 610, 824, 2175, 3330, 938, 4703, 780, 4322, 5863, 18563, 948, 7189, 1521, 1082, 1114, 1072, 2152, 267, 1519, 12263, 267, 2860, 267, 20560, 267, 1164, 1973, 2604, 267, 7181, 21385, 267, 543, 1164, 8501, 269, 1635, 1620, 875, 938, 1560, 23234, 1860, 938, 2949, 8171, 267, 3744, 666, 1711, 1007, 2081, 547, 1832, 721, 2635, 1247, 1818, 2564, 5574, 4443, 543, 811, 2500, 982, 2479, 1354, 2439, 12244, 22830, 281, 27588, 2659, 13574, 5384, 268, 3725, 3161, 595, 2355, 2544, 454, 294, 1430, 930, 8900, 15074, 11294, 29893, 630, 19989, 2228, 610, 693, 7966, 9313, 1070, 6263, 31496, 267, 543, 1404, 323, 965, 610, 10036, 269, 7420, 1053, 547, 6445, 835, 3368, 540, 519, 23555, 609, 17711, 267, 1287, 1039, 2614, 10036, 547, 13021, 621, 6806, 269, 11559, 873, 547, 3589, 1018, 786, 4755, 950, 789, 6749, 741, 1412, 25924, 262, 883, 1216, 269, 4024, 519, 17711, 23271, 5612, 267, 610, 786, 621, 1491, 3476, 1317, 540, 519, 10036, 11064, 286, 2991, 11287, 519, 2164, 267, 1865, 875, 4657, 519, 1570, 4478, 519, 4915, 5540, 922, 5305, 2557, 543, 5635, 621, 547, 1483, 8996, 3156, 538, 12225, 984, 5735, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 303, 8085, 6347, 2316, 4041, 19010, 308, 294, 667, 5085, 4353, 28475, 20219, 23727, 1107, 589, 11555, 26177, 12487, 7876, 9509, 7956, 454, 303, 8085, 6347, 2316, 4041, 19010, 308, 294, 667, 5085, 4353, 28475, 20219, 23727, 910, 589, 11555, 26177, 454, 309, 573, 6062, 681, 269, 4793, 601, 2608, 543, 966, 760, 592, 321, 327, 2967, 623, 269, 4793, 601, 454, 23430, 540, 14997, 11914, 5303, 267, 7414, 9142, 540, 14451, 4065, 543, 3194, 2160, 267, 772, 6767, 760, 584, 267, 14076, 553, 22474, 268, 23884, 271, 2568, 267, 3127, 454, 5723, 22552, 16898, 281, 623, 6160, 8684, 3075, 6765, 1949, 616, 2919, 547, 5838, 3075, 2687, 547, 27266, 2623, 540, 3676, 269, 634, 1587, 1246, 513, 521, 10176, 18042, 3075, 5305, 9043, 6353, 676, 513, 942, 1974, 540, 1100, 5305, 630, 25419, 942, 264, 4553, 676, 513, 4028, 543, 2347, 3075, 5305, 269, 4935, 3075, 666, 581, 9447, 693, 1318, 942, 267, 538, 1318, 2179, 543, 693, 1318, 3135, 540, 2962, 676, 946, 540, 971, 1935, 269, 634, 1761, 2640, 540, 12225, 6139, 31706, 723, 1044, 11567, 543, 3964, 585, 1297, 540, 3676, 899, 10447, 267, 12263, 267, 2860, 267, 3987, 267, 20560, 267, 13119, 267, 22377, 267, 5409, 3273, 6856, 1961, 8926, 3092, 269, 15316, 11503, 983, 267, 23015, 5328, 267, 2582, 543, 2789, 1770, 1949, 602, 616, 1110, 4327, 676, 19729, 610, 2144, 617, 1043, 12249, 23541, 267, 8297, 696, 9092, 7425, 534, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 5020, 7070, 1315, 10334, 1315, 20048, 984, 5735, 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, 594, 729, 6659, 538, 513, 15962, 4168, 1920, 538, 519, 8828, 2136, 2276, 267, 1141, 649, 13984, 5939, 1169, 10732, 1510, 3111, 269, 3776, 1507, 4884, 1185, 513, 15866, 23837, 2551, 267, 865, 950, 1250, 23013, 4956, 547, 19533, 513, 812, 689, 513, 7332, 4282, 267, 972, 941, 7899, 540, 2055, 827, 875, 741, 16806, 1131, 1413, 780, 7069, 31225, 267, 2141, 835, 547, 9784, 1007, 2833, 267, 4941, 547, 6451, 1312, 1200, 23837, 5389, 543, 1200, 4166, 3562, 15515, 5067, 2987, 25237, 781, 9099, 2853, 1282, 519, 16008, 269, 2701, 14059, 803, 267, 6616, 594, 1185, 5063, 1831, 5461, 538, 6752, 1374, 267, 6998, 952, 594, 1223, 1711, 856, 22327, 585, 3025, 3238, 1107, 1945, 6492, 995, 543, 16614, 1247, 1869, 26621, 938, 2189, 6561, 780, 296, 23362, 3576, 909, 519, 4161, 267, 15388, 2757, 4168, 543, 7332, 23157, 585, 12311, 26204, 269, 2991, 1896, 25780, 543, 5958, 2220, 520, 2583, 267, 594, 6368, 12306, 593, 6272, 585, 1142, 2427, 540, 519, 1920, 269, 2201, 1250, 23013, 781, 2427, 267, 519, 2021, 20595, 17715, 6989, 27480, 32293, 538, 2571, 2250, 1564 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 304, 269, 594, 917, 4966, 723, 3964, 834, 516, 5570, 2105, 257, 3232, 5666, 540, 5613, 543, 5388, 585, 1453, 267, 855, 649, 4749, 2887, 2110, 269, 594, 6415, 11842, 952, 972, 568, 513, 834, 321, 732, 5934, 257, 2179, 3214, 1058, 3548, 3232, 888, 288, 269, 634, 772, 2529, 269, 4972, 540, 11982, 781, 7840, 585, 3232, 5613, 543, 5388, 4268, 676, 513, 1126, 781, 2085, 269, 898, 781, 7229, 676, 4966, 945, 2015, 519, 5227, 3232, 6981, 540, 1585, 5567, 267, 1519, 8324, 543, 6886, 267, 3081, 30554, 8291, 3911, 809, 2401, 267, 23070, 585, 4791, 6484, 543, 2069, 693, 853, 3415, 15588, 2160, 6481, 4741, 269, 630, 13425, 519, 681, 14888, 585, 707, 1126, 781, 2085, 693, 3787, 269, 569, 24474, 335, 476, 275, 333, 297, 296, 8094, 10454, 3328, 3158, 3884, 1405, 2469, 547, 979, 856, 543, 2119, 547, 4137, 856, 952, 519, 1126, 568, 4189, 519, 681, 14888, 585, 1169, 6171, 543, 1169, 7777, 269, 2334, 781, 2731, 936, 7308, 31795, 2437, 3911, 809, 2401, 3081, 269, 589, 591, 1645, 621, 676, 2857, 2056, 513, 1978, 1297, 540, 11680, 540, 5613, 543, 5388, 829, 1554, 29776, 1919, 267, 1352, 3081, 269, 1403, 707, 1126, 568, 4189, 519, 5227, 2179, 267, 646, 781, 2693, 3478, 782, 519, 5227, 3232, 5567, 267, 1352, 3081, 563, 19013, 972, 3884, 1405, 513, 834, 321, 732, 5934, 257, 596, 666, 23641, 3054, 609, 267, 1352, 3081, 269, 1411, 1223, 1039, 8324, 547, 707, 1126, 781, 2732, 547, 948, 2743, 3232, 7840, 267, 855, 3911, 809, 2401, 3085, 1405, 2015, 602, 519, 1655, 3070, 267, 607, 707, 1126, 4465, 1405, 1205, 519, 6775, 543, 824, 3773, 2640, 540, 4189, 519, 1426, 563, 288, 1732, 1935, 568, 547, 2699, 19302, 3646, 547, 2743, 519, 7840, 267, 1352, 3081, 269, 16731, 513, 21869, 648, 547, 1265, 3434, 9248, 609, 15361, 585, 14229, 1136, 1434, 1426, 883, 3214, 262, 11326, 282, 4829, 663, 17724, 20672, 15843, 2593, 849, 814, 4388, 269, 0, 763, 26824, 7746, 568, 4881, 538, 962, 24934, 334, 12380, 543, 7996, 585, 938, 26824, 13668, 547, 1852, 519, 27178, 593, 4448, 547, 519, 27311, 31595, 2637, 476, 273, 4604, 269, 3767, 267, 649, 786, 17492, 543, 6494, 26824, 13668, 689, 824, 2780, 610, 3457, 4448, 547, 938, 29135, 543, 649, 786, 1852, 519, 21386, 2157, 585, 519, 2699, 267, 3039, 543, 4544, 27178, 563, 15411, 513, 1007, 12363, 267, 4971, 11060, 610, 519, 717, 21397, 1907, 602, 649, 1616, 547, 946, 547, 17492, 543, 6494, 26824, 13668, 689, 513, 2780, 610, 1022, 3926, 4448, 547, 519, 29135, 269, 5213, 1405, 7340, 547, 5372, 454, 4572, 269, 12739, 269, 272, 269, 13040, 609, 707, 4604, 781, 7379, 2232, 538, 519, 1985, 13668, 563, 305, 684, 519, 1739, 26824, 773, 4971, 538, 513, 2780, 610, 3926, 547, 946, 519, 681, 12239, 995, 16286, 547, 1118, 519, 4604, 1305, 519, 21386, 1377, 585, 519, 2699, 10896, 547, 476, 1789, 269, 2991, 3267, 0, 3682, 560, 12060, 543, 9647, 18352, 568, 2965, 835, 540, 519, 4610, 538, 519, 3782, 3924, 602, 568, 6385, 3395, 607, 513, 2339, 540, 1249, 269, 1635, 543, 1804, 267, 14382, 12060, 543, 9647, 18352, 616, 1079, 1114, 4610, 855, 519, 1249, 602, 789, 4196, 513, 1455, 3483, 540, 14317, 1118, 873, 2097, 8087, 883, 835, 1455, 11769, 269, 3367, 593, 543, 1451, 811, 593, 14382, 12060, 543, 9647, 18352, 607, 814, 1044, 5941, 2630, 563, 307, 22736, 540, 14382, 12060, 267, 713, 568, 519, 2259, 602, 12034, 519, 946, 540, 519, 5841, 17873, 267, 6382, 1634, 607, 14382, 12330, 267, 547, 948, 3986, 519, 1599, 543, 6197, 540, 1346, 945, 4755, 547, 581, 7092, 689, 513, 2013, 540, 4503, 18215, 269, 634, 14382, 4185, 991, 547, 581, 971, 602, 786, 581, 513, 4999, 267, 3168, 693, 519, 2326, 267, 519, 1374, 267, 12972, 543, 4070, 865, 607, 547, 2327, 602, 789, 616, 971, 602, 786, 6474, 519, 6198, 4170, 540, 519, 1268, 945, 786, 581, 9849, 873, 563, 3080, 824, 3693, 547, 917, 827, 519, 14382, 12330, 543, 519, 991, 585, 873, 949, 581, 865, 1950, 543, 786, 4268, 607, 1134, 689, 519, 2539, 543, 5580, 17873, 269, 634, 14382, 12330, 585, 519, 2539, 17873, 786, 1419, 2097, 2966, 547, 948, 609, 6617, 538, 7555, 543, 6972, 267, 23815, 5920, 267, 8710, 10338, 267, 930, 540, 519, 18942, 2238, 971, 607, 17259, 543, 4881, 269, 2755, 607, 585, 519, 5580, 18215, 14382, 12330, 267, 891, 616, 519, 5686, 602, 786, 2232, 2115, 971, 607, 8757, 543, 30230, 4771, 267, 930, 540, 519, 17163, 2591, 835, 949, 723, 971, 607, 17200, 532, 543, 7206, 543, 607, 1134, 513, 1297, 540, 519, 3232, 1272, 2238, 899, 2542, 543, 1603, 563, 2691, 621, 2501, 547, 519, 9647, 18352, 267, 891, 4125, 513, 2603, 540, 5876, 538, 519, 1374, 543, 519, 21753, 540, 519, 5007, 25329, 607, 1134, 1634, 607, 519, 9647, 4680, 267, 607, 851, 540, 513, 1268, 779, 2126, 1184, 269, 32695, 540, 9647, 4680, 267, 26759, 519, 5007, 25329, 267, 891, 616, 2966, 547, 948, 609, 519, 1852, 540, 1346, 2694, 540, 519, 1560, 543, 4525, 540, 519, 1560, 540, 513, 1268, 945, 949, 581, 9308, 13934, 269, 1411, 949, 1294, 610, 723, 9647, 4680, 1031, 593, 1585, 2694, 540, 519, 1560, 930, 540, 799, 616, 899, 1312, 519, 5580, 543, 2539, 17873, 267, 593, 519, 1835, 13203, 543, 519, 12636, 607, 1134, 269, 1879, 621, 2501, 547, 891, 267, 519, 1739, 616, 930, 540, 519, 1034, 1455, 5686, 540, 9647, 4680, 267, 519, 22623, 658, 31238, 267, 1346, 585, 1085, 10008, 2670, 6668, 267, 930, 540, 519, 3283, 1031, 585, 3978, 8405, 7063, 543, 519, 1082, 1866, 269, 1520, 4765, 547, 891, 267, 596, 949, 1616, 547, 1039, 547, 891, 519, 3723, 9647, 4680, 602, 1131, 581, 1031, 585, 519, 2126, 2115, 543, 14317, 540, 519, 3214, 945, 949, 581, 7092, 689, 19548, 25097, 344, 269, 1703, 723, 1044, 2938, 513, 1434, 1297, 540, 9647, 4680, 4947, 909, 2221, 585, 519, 2115, 540, 3214, 543, 596, 666, 1451, 811, 593, 891, 1934, 269, 0, 8368, 540, 12937, 454, 763, 2247, 781, 18563, 454, 11990, 27850, 267, 513, 22301, 267, 16771, 540, 519, 17587, 3902, 538, 476, 1960, 275, 267, 11124, 689, 18624, 269, 3571, 1272, 729, 17814, 538, 513, 21035, 7260, 513, 1906, 1296, 1394, 267, 855, 1018, 568, 1034, 1271, 568, 547, 8275, 602, 267, 1175, 607, 1864, 267, 824, 476, 2190, 2929, 1004, 616, 4299, 676, 713, 2790, 2068, 267, 782, 936, 519, 1158, 563, 5278, 2338, 593, 18624, 454, 6097, 547, 1239, 3177, 676, 519, 2622, 2657, 9257, 630, 21766, 1070, 689, 519, 2698, 1297, 540, 11634, 15617, 545, 2550, 267, 811, 982, 3368, 540, 873, 616, 711, 8391, 519, 1697, 2126, 602, 789, 2154, 543, 616, 4061, 267, 7092, 519, 4539, 540, 713, 15265, 2068, 1510, 1022, 17867, 543, 5626, 5351, 563, 763, 2068, 3085, 1406, 10646, 1851, 3023, 610, 5198, 267, 2094, 621, 568, 1455, 538, 1312, 9038, 543, 8951, 689, 1114, 6803, 2516, 563, 763, 3123, 540, 18624, 616, 711, 1134, 3989, 269, 898, 568, 1634, 602, 621, 814, 513, 1360, 2178, 4719, 5057, 267, 2094, 519, 1981, 540, 3384, 519, 2068, 4679, 952, 596, 723, 513, 1463, 3448, 602, 23119, 689, 621, 267, 855, 621, 814, 711, 1044, 5532, 547, 513, 1808, 1106, 540, 18472, 563, 2467, 616, 849, 2825, 2188, 602, 1404, 606, 1271, 1909, 538, 519, 1646, 540, 18624, 269, 1280, 3236, 267, 3744, 3494, 602, 1978, 10194, 5563, 267, 22926, 1282, 6379, 543, 2038, 6689, 267, 607, 1134, 607, 824, 2188, 267, 949, 2333, 519, 1981, 540, 4719, 3441, 543, 2634, 3676, 971, 607, 18624, 563, 11514, 32152, 3114, 3666, 3330, 519, 2634, 454, 1432, 568, 4010, 8345, 3330, 519, 2634, 540, 513, 11634, 15617, 545, 286, 4595, 519, 3123, 616, 1869, 7164, 267, 519, 6127, 540, 3441, 616, 849, 711, 1360, 1134, 6956, 2901, 269, 634, 2068, 568, 6157, 513, 12343, 540, 513, 17522, 538, 519, 3339, 1599, 540, 2634, 6464, 267, 1634, 607, 30088, 269, 3794, 583, 600, 622, 543, 22006, 2634, 6464, 616, 519, 1034, 4299, 538, 519, 2634, 540, 11634, 15617, 545, 2550, 563, 1103, 513, 3339, 2634, 267, 972, 568, 513, 3666, 1063, 519, 5305, 543, 1427, 820, 540, 891, 30088, 267, 538, 1931, 547, 10141, 519, 1318, 6786, 267, 689, 835, 22813, 547, 1776, 267, 543, 1711, 519, 2953, 3210, 547, 8726, 17003, 729, 2366, 547, 519, 2634, 563, 2467, 568, 849, 2963, 602, 519, 2634, 540, 513, 1268, 7092, 689, 18624, 2982, 4191, 540, 27090, 2530, 538, 1978, 2634, 4525, 267, 607, 1134, 607, 19260, 538, 519, 3892, 543, 24466, 4162, 540, 2634, 2281, 267, 4929, 519, 5250, 540, 19451, 27090, 4296, 563, 763, 12343, 540, 891, 25768, 4296, 1063, 11409, 543, 519, 19261, 538, 519, 2504, 540, 30088, 568, 519, 21599, 540, 519, 3461, 883, 513, 2618, 5328, 1533, 267, 6353, 676, 26390, 5209, 543, 1642, 16272, 267, 799, 568, 1360, 2182, 547, 6023, 676, 519, 3461, 543, 676, 16764, 602, 27788, 1864, 610, 1200, 269, 0, 13142, 12661, 27158, 779, 10504, 267, 1634, 607, 519, 8349, 532, 1014, 7276, 267, 10924, 1082, 540, 519, 5389, 543, 1514, 21441, 540, 519, 3735, 4936, 7276, 267, 855, 621, 849, 5189, 930, 1883, 10124, 269, 4077, 12661, 27158, 7479, 12184, 1325, 30501, 514, 540, 3840, 267, 2808, 519, 6574, 16159, 540, 519, 1554, 267, 547, 2097, 547, 1010, 19289, 693, 589, 659, 1156, 630, 288, 1460, 2000, 320, 16644, 777, 16279, 264, 543, 3715, 513, 1007, 1153, 547, 5721, 804, 518, 802, 543, 5640, 538, 8106, 5824, 269, 634, 4013, 1893, 540, 519, 5480, 543, 540, 519, 5939, 729, 5824, 267, 855, 2605, 3471, 538, 717, 4954, 7550, 519, 4678, 3729, 31546, 15066, 602, 2968, 3943, 267, 1247, 2605, 3471, 543, 824, 27272, 11031, 538, 519, 7532, 12038, 1585, 4654, 602, 941, 11937, 540, 2413, 4436, 563, 13142, 12661, 27158, 11292, 1804, 2244, 3835, 902, 267, 1634, 607, 535, 3971, 338, 267, 547, 1082, 17174, 4108, 3401, 267, 610, 546, 4157, 525, 269, 769, 1840, 267, 646, 12912, 3875, 7671, 880, 18211, 4531, 1846, 547, 519, 14758, 9708, 540, 1293, 630, 1492, 2212, 540, 513, 4130, 8664, 1572, 513, 10315, 264, 543, 5768, 571, 557, 630, 1492, 1293, 540, 513, 8473, 11662, 1040, 1452, 18211, 4531, 1846, 941, 15438, 538, 20538, 267, 609, 782, 540, 519, 11889, 267, 16324, 267, 543, 4108, 6392, 540, 519, 17169, 1369, 741, 9757, 13102, 269, 3962, 10315, 1185, 513, 6252, 3235, 27036, 20292, 267, 610, 5939, 267, 8664, 267, 1572, 513, 1019, 665, 3150, 267, 602, 729, 18188, 676, 513, 24649, 609, 6392, 538, 782, 5939, 6927, 269, 5637, 12523, 543, 31967, 941, 642, 817, 1023, 540, 519, 17169, 267, 543, 941, 13327, 523, 676, 10707, 13222, 540, 519, 17169, 267, 1634, 607, 4413, 328, 2531, 28649, 328, 269, 5272, 1032, 267, 1312, 12523, 543, 31967, 13984, 513, 2489, 10198, 1141, 789, 1131, 18973, 519, 17169, 543, 5873, 1010, 1463, 1161, 563, 763, 10504, 729, 7925, 547, 17174, 4744, 3290, 543, 1705, 711, 1279, 7639, 4077, 12661, 27158, 779, 2669, 538, 476, 279, 1691, 269, 769, 476, 279, 6246, 519, 15521, 540, 7638, 323, 684, 5258, 519, 8349, 532, 1014, 7276, 883, 1614, 2694, 281, 5101, 8071, 807, 630, 893, 569, 2413, 6377, 5125, 1070, 4639, 8071, 807, 630, 893, 569, 2413, 6377, 5333, 1070, 543, 267, 19459, 519, 1079, 267, 606, 1858, 4881, 689, 519, 3345, 7256, 998, 700, 1054, 2130, 807, 630, 19640, 6377, 31240, 9627, 264, 543, 26990, 1495, 344, 547, 7187, 7977, 269, 769, 476, 279, 3583, 519, 1647, 10806, 729, 5258, 267, 609, 700, 1054, 2130, 807, 2469, 547, 5101, 8071, 807, 543, 519, 1964, 547, 4639, 8071, 807, 269, 634, 8349, 532, 1014, 15913, 538, 5101, 8071, 807, 3357, 547, 606, 1439, 538, 476, 26605, 950, 519, 2063, 540, 4077, 12661, 27158, 779, 13956, 757, 5747, 1510, 606, 25752, 269, 7402, 21840, 834, 30051, 257, 9736, 2506, 28609, 645, 308, 6224, 5588, 267, 7402, 21840, 267, 9504, 454, 21900, 657, 540, 3864, 2477, 547, 3643, 454, 21900, 657, 540, 7489, 2477, 547, 3643, 454, 21900, 657, 540, 3013, 0, 2421, 717, 17679, 269, 22105, 732, 1923, 476, 4198, 279, 1923, 476, 29204, 267, 25838, 1913, 1923, 9768, 268, 1015, 281, 476, 279, 1321, 5400, 274, 279, 2190, 277, 1923, 9768, 268, 1724, 281, 476, 7818, 279, 1321, 5400, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7287, 547, 1852, 7146, 1100, 3476, 28111, 609, 5991, 1155, 12012, 519, 1523, 540, 4984, 267, 1818, 24587, 7864, 543, 811, 9565, 267, 22509, 17495, 12976, 2221, 781, 10178, 1738, 3359, 269, 634, 16133, 540, 3425, 543, 2831, 26870, 3676, 602, 22037, 553, 1242, 936, 942, 269, 15213, 540, 3350, 543, 3903, 941, 8719, 676, 513, 2604, 547, 960, 602, 568, 519, 2062, 321, 792, 540, 519, 4160, 543, 4965, 6634, 1745, 2221, 269, 28243, 3091, 513, 29014, 13310, 585, 19249, 513, 1272, 547, 799, 649, 941, 2141, 2192, 14018, 267, 2857, 2056, 602, 649, 1689, 938, 14422, 543, 1582, 1673, 652, 10614, 12608, 2572, 1354, 621, 781, 1932, 3735, 269, 589, 678, 633, 1154, 543, 3015, 3621, 19792, 1650, 267, 17455, 7702, 781, 23268, 568, 606, 3750, 19945, 2287, 1433, 585, 4896, 19832, 676, 519, 2250, 543, 7255, 827, 519, 2104, 563, 268, 15932, 5600, 14539, 6828, 454, 268, 22910, 4266, 912, 268, 8605, 7516, 912, 268, 476, 277, 269, 736, 26028, 264, 1535, 476, 280, 269, 1015, 22607, 264, 1535, 476, 272, 269, 1789, 5560, 994, 5649, 606, 1401, 1356, 696, 454, 303, 663, 7702, 781, 23268, 763, 1133, 1150, 16308, 8779, 540, 31511, 454, 3528, 1975, 27247, 28243, 454, 305, 24655, 5600, 15648, 9736, 476, 1001, 271, 1975, 27247, 28243, 454, 5472, 1318, 11603, 563, 7069, 20712, 538, 519, 10934, 454, 269, 1547, 1547, 519, 1034, 1271, 267, 1034, 3304, 9317, 4786, 2479, 3812, 676, 30768, 11607, 26078, 1211, 3915, 804, 15586, 2676, 25486, 23395, 519, 12032, 540, 519, 8908, 1480, 11646, 5311, 454, 4002, 4873, 476, 2918, 267, 476, 1220, 271, 454, 288, 4786, 568, 711, 519, 8513, 621, 4564, 269, 910, 2788, 1042, 737, 528, 5414, 2125, 7288, 454, 7069, 9348, 530, 913, 998, 519, 4571, 12898, 12158, 6808, 267, 16439, 606, 9095, 2059, 519, 13792, 13272, 540, 8235, 12309, 269, 2201, 1250, 1318, 267, 519, 5656, 540, 835, 540, 519, 1158, 781, 32399, 4872, 588, 629, 5523, 4724, 519, 6607, 267, 5374, 543, 4837, 3395, 856, 540, 519, 13325, 31403, 899, 2413, 1651, 7568, 725, 540, 519, 6371, 543, 4054, 602, 2899, 20898, 519, 10720, 269, 589, 14762, 1558, 24227, 540, 5176, 1614, 2929, 1004, 267, 9628, 19646, 606, 19633, 602, 729, 2899, 519, 1158, 781, 1668, 5006, 630, 527, 781, 1631, 2034, 1070, 609, 936, 476, 5002, 267, 1822, 15915, 513, 1554, 8429, 998, 922, 23525, 2987, 6984, 267, 593, 713, 1880, 1554, 267, 803, 269, 901, 30832, 1782, 2749, 929, 1938, 3294, 593, 922, 6422, 267, 4464, 23302, 2528, 7308, 834, 339, 944, 20536, 257, 543, 834, 23637, 518, 540, 10568, 2437, 607, 14161, 9995, 7921, 1572, 621, 269, 3502, 519, 1034, 6654, 1747, 547, 2097, 3168, 585, 519, 2250, 563, 763, 10720, 3576, 803, 1394, 538, 942, 267, 1498, 17574, 1394, 267, 1354, 621, 729, 1256, 972, 269, 8235, 12309, 568, 2965, 513, 20276, 656, 540, 835, 540, 519, 4102, 22260, 519, 3618, 814, 2479, 2938, 269, 4438, 519, 2063, 4672, 2085, 267, 519, 19846, 660, 728, 4672, 6656, 21401, 689, 7187, 4516, 1524, 2059, 519, 16713, 5211, 267, 607, 2484, 5045, 607, 4095, 24550, 267, 609, 922, 9456, 1166, 1678, 8720, 1459, 6377, 1715, 3840, 543, 838, 3739, 883, 519, 9533, 7909, 269, 1879, 621, 24268, 267, 1472, 476, 1015, 267, 1822, 1296, 3516, 267, 519, 1216, 1071, 2297, 1027, 883, 519, 4279, 20463, 267, 1519, 12309, 269, 18391, 856, 519, 6885, 540, 1250, 9348, 267, 693, 519, 2178, 12798, 678, 6235, 2066, 519, 1163, 534, 572, 540, 4672, 8757, 856, 689, 519, 9628, 32132, 267, 594, 5433, 899, 1686, 1522, 581, 17370, 4193, 3294, 269, 634, 4672, 2085, 1223, 723, 6743, 513, 3787, 899, 713, 267, 594, 2219, 563, 1607, 7012, 1405, 1175, 7329, 548, 1660, 532, 282, 594, 4312, 6170, 1250, 1272, 4974, 519, 2250, 267, 3927, 3843, 547, 556, 13388, 1686, 269, 594, 2968, 18930, 539, 609, 621, 607, 513, 1126, 267, 543, 1821, 10696, 4376, 543, 3388, 593, 3504, 5527, 267, 10255, 267, 543, 7507, 267, 519, 1390, 23693, 540, 519, 5664, 5101, 267, 543, 519, 3864, 5664, 12698, 269, 769, 1164, 1153, 7350, 5049, 594, 3323, 547, 1589, 827, 1454, 811, 3504, 1686, 267, 922, 11051, 4730, 741, 2694, 593, 513, 17027, 3942, 269, 594, 3773, 519, 1686, 540, 1272, 547, 1250, 6612, 585, 2854, 1686, 267, 543, 950, 594, 3893, 547, 2852, 594, 4956, 547, 1353, 519, 2594, 2854, 538, 938, 1378, 1686, 1433, 268, 712, 5027, 269, 634, 2361, 594, 2968, 5461, 538, 568, 1634, 607, 2551, 11976, 267, 799, 568, 519, 1353, 540, 519, 4719, 5888, 540, 5095, 540, 2713, 7103, 267, 1210, 741, 5027, 547, 21264, 513, 2594, 540, 875, 789, 1185, 4957, 936, 942, 269, 634, 2361, 12090, 607, 606, 3801, 547, 4062, 1927, 10881, 827, 875, 938, 11937, 1185, 6410, 1472, 267, 875, 3504, 5095, 1185, 6404, 543, 8237, 1055, 689, 1142, 824, 267, 543, 875, 789, 1185, 4129, 1881, 936, 519, 552, 976, 269, 769, 2110, 267, 2731, 3504, 1686, 563, 4517, 1250, 1391, 1185, 4547, 803, 1934, 267, 585, 519, 2034, 942, 269, 3733, 2063, 3643, 547, 519, 2160, 540, 9628, 2914, 1877, 594, 729, 18188, 689, 744, 262, 295, 732, 3620, 611, 1044, 29933, 1296, 4505, 267, 538, 5988, 476, 2735, 280, 267, 950, 594, 729, 6236, 2469, 972, 585, 10927, 1153, 269, 634, 10720, 729, 13792, 1287, 607, 1134, 267, 543, 1250, 2038, 2173, 528, 940, 15211, 547, 11401, 693, 519, 6280, 538, 2582, 18251, 5210, 5129, 513, 1507, 1909, 538, 1250, 3375, 547, 2212, 547, 1153, 538, 519, 10169, 15911, 2749, 540, 11062, 267, 12590, 269, 6736, 1250, 3375, 267, 519, 2160, 540, 9628, 729, 267, 543, 568, 267, 606, 14222, 6280, 269, 4706, 12200, 19646, 13085, 3173, 543, 17024, 538, 1082, 4610, 267, 689, 9297, 547, 3332, 547, 6323, 269, 594, 1185, 2097, 1394, 547, 3643, 835, 540, 873, 563, 297, 517, 11936, 623, 761, 577, 731, 1185, 1044, 513, 10927, 2875, 693, 18628, 950, 594, 729, 513, 2022, 4777, 28118, 11001, 972, 267, 543, 594, 1869, 5693, 3314, 1010, 2038, 14245, 547, 938, 1895, 269, 3571, 22301, 781, 2247, 267, 13745, 609, 1010, 2620, 1620, 540, 519, 3157, 540, 4719, 1689, 267, 1500, 1864, 513, 1483, 10697, 547, 519, 1895, 269, 1284, 6772, 11474, 1586, 13713, 950, 594, 729, 693, 10228, 267, 855, 649, 4503, 5905, 936, 519, 1296, 267, 4352, 594, 4553, 1010, 960, 689, 519, 4574, 646, 3370, 538, 3621, 13746, 269, 898, 729, 835, 971, 8313, 602, 3366, 803, 547, 1205, 538, 5905, 609, 1864, 547, 1865, 1010, 4681, 563, 1607, 1957, 267, 3370, 538, 519, 4760, 12813, 24382, 10334, 630, 12195, 24382, 6763, 585, 5398, 7732, 540, 3163, 267, 513, 20380, 1920, 540, 3621, 13746, 2139, 593, 519, 5680, 1070, 4330, 513, 1007, 1505, 1010, 2319, 1185, 2919, 547, 1413, 693, 5542, 538, 519, 1480, 11646, 269, 19139, 568, 519, 16817, 1014, 3196, 602, 814, 2813, 27610, 14624, 899, 519, 3750, 543, 519, 1274, 267, 607, 1134, 607, 1034, 540, 519, 824, 2731, 3730, 7592, 649, 3425, 723, 269, 1306, 16817, 6026, 721, 267, 1507, 2242, 602, 616, 25368, 538, 930, 1259, 2285, 606, 11248, 513, 3152, 4960, 540, 17005, 543, 10063, 1424, 538, 519, 10419, 783, 3731, 5198, 602, 568, 1272, 269, 4595, 782, 540, 891, 5697, 4162, 6038, 723, 741, 5169, 538, 519, 1259, 938, 5027, 568, 2322, 1927, 267, 621, 568, 9266, 547, 1413, 547, 938, 6090, 547, 1265, 856, 827, 1018, 1500, 721, 519, 1259, 649, 616, 563, 763, 3406, 585, 5542, 693, 519, 4719, 1377, 814, 513, 1279, 1686, 267, 6580, 1394, 547, 1259, 1354, 23846, 543, 595, 4459, 1232, 760, 22363, 519, 2497, 540, 5027, 538, 519, 2038, 476, 4198, 271, 338, 269, 27505, 1359, 3744, 971, 607, 23323, 657, 3780, 667, 984, 30795, 753, 5652, 267, 513, 6739, 19366, 547, 3013, 945, 5280, 1711, 519, 2413, 2257, 540, 2551, 11976, 1394, 538, 519, 2038, 14206, 2540, 267, 941, 18930, 539, 609, 3168, 585, 4719, 2242, 602, 1223, 581, 6045, 1152, 676, 1045, 3183, 16817, 781, 9583, 9589, 3196, 269, 769, 519, 2395, 1354, 5027, 9696, 1223, 581, 6594, 2047, 267, 1498, 267, 3173, 4767, 1804, 8397, 2242, 538, 519, 2497, 540, 4829, 8038, 15954, 269, 630, 293, 8816, 13733, 1373, 519, 4719, 626, 781, 5172, 2203, 11248, 267, 6140, 1317, 741, 5458, 2892, 643, 776, 14189, 15954, 1500, 741, 3270, 540, 4719, 8390, 2653, 547, 1353, 538, 519, 2395, 1354, 5027, 15971, 4700, 1809, 1247, 789, 1336, 930, 2963, 585, 519, 2250, 2962, 540, 5542, 538, 4829, 13733, 267, 519, 10700, 2014, 540, 519, 3270, 789, 4767, 7283, 21792, 563, 5629, 621, 729, 1634, 602, 5027, 729, 519, 10700, 2707, 540, 4719, 8390, 267, 543, 922, 2497, 1185, 1044, 4362, 543, 2409, 2919, 547, 3313, 519, 4890, 5311, 540, 519, 3114, 2679, 7161, 602, 1118, 909, 519, 5595, 927, 1460, 630, 296, 6415, 17953, 532, 936, 827, 15823, 1296, 540, 21722, 1382, 1934, 1070, 2551, 4719, 1235, 3459, 547, 1413, 693, 5027, 9696, 2047, 269, 769, 519, 2038, 2395, 630, 21671, 1472, 8938, 19317, 1296, 3516, 1070, 1317, 540, 2930, 7687, 267, 789, 1223, 4983, 1175, 513, 1906, 1507, 4525, 538, 519, 11646, 630, 1492, 2040, 2698, 540, 519, 4719, 2679, 7161, 538, 606, 1367, 1070, 543, 519, 3406, 585, 2963, 540, 2067, 5542, 2356, 9863, 4829, 1652, 269, 898, 729, 1152, 609, 519, 12032, 540, 519, 5274, 32081, 5741, 538, 519, 3735, 476, 1960, 271, 338, 267, 543, 519, 7372, 6639, 23484, 602, 621, 838, 1177, 2740, 267, 602, 3744, 1223, 6368, 1376, 547, 15260, 612, 519, 3390, 602, 1185, 18930, 539, 667, 984, 30795, 753, 5652, 543, 1010, 9164, 5176, 513, 2540, 1354, 281, 1772, 621, 2009, 547, 1265, 2963, 540, 5542, 693, 519, 5027, 1377, 543, 267, 5310, 811, 4277, 569, 267, 666, 649, 4137, 856, 1946, 621, 814, 3144, 1747, 888, 296, 6976, 519, 9348, 9920, 543, 3893, 856, 2282, 519, 2160, 540, 9628, 21869, 648, 267, 2921, 538, 519, 10450, 269, 20096, 16654, 1196, 881, 525, 267, 9112, 1282, 9628, 781, 4505, 2679, 22820, 267, 4724, 519, 1439, 540, 519, 13524, 2540, 267, 11303, 803, 593, 782, 5011, 269, 898, 1185, 1044, 513, 6857, 3801, 593, 519, 851, 540, 519, 1007, 6280, 32717, 729, 8547, 538, 476, 6245, 271, 267, 609, 7482, 3177, 676, 519, 3282, 3046, 517, 3627, 667, 269, 18842, 651, 325, 11839, 3562, 1921, 609, 606, 4587, 2245, 540, 1565, 269, 594, 5433, 607, 1498, 594, 941, 1394, 1851, 519, 575, 548, 5446, 838, 2231, 540, 10228, 267, 4881, 1063, 15938, 18862, 269, 3733, 10278, 267, 2705, 267, 729, 513, 1454, 18960, 2497, 563, 763, 595, 17026, 902, 5020, 3163, 4741, 729, 9112, 538, 476, 3192, 271, 282, 607, 581, 7257, 1540, 513, 2497, 5921, 547, 2777, 3744, 7722, 538, 519, 4359, 1353, 540, 7350, 267, 1287, 18460, 513, 4838, 607, 513, 1267, 540, 23846, 543, 595, 4459, 781, 1714, 1075, 9179, 540, 519, 2497, 540, 5027, 267, 519, 2679, 781, 15839, 13486, 729, 2909, 1424, 569, 2413, 267, 1256, 513, 3787, 22266, 269, 1809, 594, 1185, 2097, 547, 2911, 547, 22189, 623, 761, 577, 731, 267, 945, 729, 1210, 519, 1034, 4359, 2553, 538, 11976, 547, 1413, 693, 519, 1686, 540, 938, 2249, 269, 634, 5104, 868, 777, 3789, 540, 713, 2679, 8015, 513, 13464, 540, 4587, 3889, 8604, 17501, 267, 2016, 1018, 594, 729, 1934, 547, 1865, 563, 296, 4092, 1010, 5604, 593, 835, 540, 519, 5580, 19683, 267, 543, 649, 10004, 1540, 607, 646, 1500, 803, 513, 7484, 540, 7401, 269, 1323, 28048, 3845, 27460, 267, 609, 519, 7920, 267, 561, 1678, 344, 1413, 540, 513, 2261, 25070, 518, 267, 646, 8604, 10169, 14281, 602, 594, 1185, 1500, 519, 7552, 1175, 547, 2911, 547, 1864, 269, 594, 4280, 1864, 827, 1010, 1847, 689, 10228, 547, 9628, 267, 1010, 2123, 1272, 630, 821, 540, 1010, 5067, 781, 12400, 8288, 1657, 1010, 11380, 1070, 543, 1018, 621, 5433, 899, 547, 723, 1044, 11292, 26022, 693, 835, 540, 519, 1158, 781, 1034, 20380, 9945, 693, 519, 3348, 665, 1190, 2085, 540, 13977, 5498, 1597, 269, 1261, 561, 13774, 1117, 267, 8746, 538, 1010, 7214, 5759, 267, 899, 865, 1082, 540, 519, 28879, 22064, 1004, 594, 723, 1634, 267, 543, 6045, 602, 1010, 1272, 729, 2469, 1134, 269, 1284, 1287, 6410, 593, 547, 519, 2601, 585, 1250, 3643, 563, 296, 4941, 547, 2911, 6300, 269, 2107, 267, 2864, 267, 594, 4941, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 7481, 3546, 1948, 1820, 3799, 3941, 314, 271, 6012, 271, 3910, 9136, 314, 272, 6012, 271, 3910, 4463, 994, 3546, 1582, 8542, 3941, 18380, 314, 4486, 267, 4463, 316, 815, 1496, 333, 3941, 314, 271, 6012, 271, 3910, 9136, 314, 272, 6012, 271, 27663, 2018, 3116, 912, 3546, 952, 9136, 314, 271, 14158, 7386, 4463, 815, 9136, 314, 271, 6012, 272, 2639, 7386, 1582, 8542, 3941, 18380, 314, 4486, 267, 4463, 316, 815, 1496, 333, 3941, 314, 271, 6012, 271, 3910, 7183, 2639, 3546, 3116, 912, 7386, 4463, 815, 9136, 314, 272, 6012, 272, 2639, 7386, 1582, 8542, 3941, 18380, 314, 4486, 267, 4463, 316, 815, 1496, 14085, 267, 9136, 314, 272, 6012, 271, 316, 6540, 825, 1219, 9041, 20412, 622, 318, 9418, 318, 19417, 4311, 267, 6843, 2187, 1038, 8173, 1038, 12433, 1483, 4463, 538, 3529, 540, 2016, 6843, 563, 1038, 2433, 12407, 6843, 281, 6843, 1843, 563, 1038, 2433, 8873, 281, 25948, 563, 1038, 8173, 1038, 4463, 815, 476, 271, 454, 1038, 1699, 815, 6843, 454, 1038, 1247, 1699, 11203, 1582, 269, 10174, 912, 2018, 4463, 6834, 476, 272, 454, 2018, 1699, 815, 1699, 4877, 1861, 692, 1038, 2132, 4463, 692, 825, 1219, 9041, 20412, 622, 318, 19417, 4311, 267, 6843, 2187, 1038, 8173, 1038, 12433, 2451, 543, 1318, 4463, 540, 6843, 563, 1038, 2433, 12407, 6843, 281, 6843, 1843, 563, 1038, 8173, 1038, 1699, 815, 6843, 454, 1038, 1247, 1699, 912, 2018, 1699, 269, 19417, 815, 3193, 263, 9690, 16000, 269, 19417, 267, 1699, 16192, 269, 19417, 264, 1341, 476, 272, 454, 2018, 1699, 815, 1699, 4877, 1861, 692, 825, 1219, 9041, 25785, 24449, 2723, 566, 4311, 267, 6843, 2187, 1038, 8173, 1038, 7638, 1518, 952, 568, 2556, 17967, 519, 6843, 563, 1038, 2433, 12407, 6843, 281, 6843, 1843, 563, 1038, 8173, 1038, 9206, 815, 8771, 454, 1038, 3105, 815, 6843, 454, 1038, 1699, 815, 6843, 4877, 1861, 454, 1038, 1247, 1699, 912, 2018, 535, 321, 272, 815, 1699, 16000, 269, 19417, 910, 1699, 16192, 269, 19417, 454, 2018, 535, 321, 273, 815, 3105, 16000, 269, 19417, 910, 3105, 16192, 269, 19417, 454, 2018, 952, 535, 321, 272, 13843, 476, 273, 543, 535, 321, 273, 13843, 476, 271, 912, 3546, 1582, 11519, 8527, 622, 318, 2431, 263, 9690, 994, 3546, 9206, 815, 6936, 454, 3546, 2736, 454, 2018, 952, 535, 321, 272, 10922, 910, 273, 543, 535, 321, 273, 10922, 476, 271, 912, 3546, 1582, 11519, 8527, 622, 318, 3847, 263, 9690, 994, 3546, 9206, 815, 6936, 454, 3546, 2736, 454, 2018, 952, 535, 321, 272, 13843, 1341, 273, 543, 535, 321, 273, 10922, 476, 271, 912, 3546, 1582, 11519, 8527, 622, 318, 3847, 263, 2181, 2365, 994, 3546, 1582, 11519, 8527, 622, 318, 2431, 263, 9690, 994, 3546, 9206, 815, 6936, 454, 3546, 2736, 454, 2018, 952, 535, 321, 272, 10922, 910, 273, 543, 535, 321, 273, 13843, 476, 271, 912, 3546, 1582, 11519, 8527, 622, 318, 2431, 263, 2181, 2365, 994, 3546, 1582, 11519, 8527, 622, 318, 3847, 263, 9690, 994, 3546, 9206, 815, 6936, 454, 3546, 2736, 454, 2018, 3105, 815, 1699, 454, 2018, 1699, 815, 1699, 4877, 1861, 692, 1038, 2132, 9206, 692, 825, 1219, 9041, 8527, 622, 318, 3847, 4311, 267, 1535, 2187, 1038, 8173, 1038, 15585, 622, 6843, 547, 2451, 563, 1038, 2433, 12407, 1535, 281, 6843, 1843, 563, 1038, 8173, 1038, 586, 815, 1535, 16192, 476, 1948, 5581, 586, 454, 1038, 1535, 16192, 815, 586, 16000, 476, 1948, 1535, 1318, 1631, 28075, 783, 586, 2451, 454, 1038, 586, 16000, 4877, 1861, 815, 1535, 476, 1948, 586, 2451, 1631, 568, 1535, 2451, 454, 1038, 586, 4877, 1861, 815, 1535, 4877, 1861, 476, 1948, 586, 2385, 568, 1535, 2385, 692, 1038, 952, 1535, 2652, 1582, 269, 10174, 281, 476, 1948, 952, 1535, 568, 3597, 1631, 586, 568, 3597, 454, 2018, 1582, 269, 10174, 815, 586, 454, 1038, 8640, 1535, 2652, 1535, 4877, 1861, 16000, 912, 2018, 1535, 4877, 1861, 16000, 815, 586, 476, 1948, 952, 1535, 568, 519, 2451, 1126, 267, 1287, 586, 568, 519, 2451, 1126, 454, 1038, 3116, 912, 2018, 1535, 4877, 1861, 16192, 815, 586, 476, 1948, 952, 1535, 568, 519, 1318, 1126, 267, 1287, 586, 568, 519, 1318, 1126, 692, 1038, 586, 16000, 815, 1535, 476, 1948, 586, 2451, 1631, 568, 1535, 454, 1038, 1535, 4877, 1861, 815, 586, 476, 1948, 1535, 2385, 1631, 568, 586, 692, 1038, 1535, 269, 19417, 20699, 476, 273, 454, 1038, 1582, 11519, 20412, 622, 318, 19417, 3287, 2020, 825, 1219, 9041, 8527, 622, 318, 2431, 4311, 267, 1535, 2187, 1038, 8173, 1038, 15585, 622, 6843, 547, 1318, 563, 1038, 2433, 12407, 1535, 281, 6843, 1843, 563, 1038, 8173, 1038, 586, 815, 1535, 16000, 454, 1038, 1535, 16000, 815, 586, 16192, 454, 1038, 586, 16192, 4877, 1861, 815, 1535, 454, 1038, 586, 4877, 1861, 815, 1535, 4877, 1861, 692, 1038, 952, 1535, 2652, 1582, 269, 10174, 281, 476, 1948, 952, 1535, 568, 3597, 1631, 586, 568, 3597, 454, 2018, 1582, 269, 10174, 815, 586, 454, 1038, 8640, 1535, 2652, 1535, 4877, 1861, 16000, 912, 2018, 1535, 4877, 1861, 16000, 815, 586, 476, 1948, 952, 1535, 568, 519, 2451, 1126, 267, 1287, 586, 568, 519, 2451, 1126, 454, 1038, 3116, 912, 2018, 1535, 4877, 1861, 16192, 815, 586, 476, 1948, 952, 1535, 568, 519, 1318, 1126, 267, 1287, 586, 568, 519, 1318, 1126, 692, 1038, 586, 16192, 815, 1535, 454, 1038, 1535, 4877, 1861, 815, 586, 692, 1038, 1535, 269, 19417, 20699, 476, 273, 454, 1038, 1582, 11519, 20412, 622, 318, 19417, 3287, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 536, 339, 815, 20724, 299, 21698, 4590, 825, 1820, 3488, 27161, 29146, 8001, 315, 1479, 1111, 29146, 2431, 315, 1492, 697, 29146, 325, 321, 5073, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 1948, 536, 339, 27044, 263, 1556, 994, 825, 1948, 536, 339, 27044, 263, 273, 994, 825, 1948, 536, 339, 27044, 263, 1691, 994, 825, 1948, 536, 339, 27044, 263, 272, 994, 825, 1948, 536, 339, 27044, 263, 278, 994, 825, 1948, 536, 339, 27044, 263, 1428, 994, 825, 1948, 536, 339, 27044, 263, 276, 994, 825, 1948, 536, 339, 27044, 263, 279, 994, 825, 1948, 536, 339, 27044, 263, 275, 994, 825, 1948, 536, 339, 9884, 1779, 18425, 318, 4650, 4590, 825, 1948, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 1948, 1820, 6357, 339, 8542, 3941, 18380, 994, 825, 1948, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 17210, 825, 536, 339, 27044, 263, 4510, 994, 825, 536, 339, 27044, 263, 1704, 994, 825, 536, 339, 27044, 263, 4281, 994, 825, 536, 339, 27044, 263, 3953, 994, 825, 536, 339, 27044, 263, 2004, 994, 825, 536, 339, 27044, 263, 6434, 994, 825, 536, 339, 27044, 263, 4366, 994, 825, 536, 339, 27044, 263, 7830, 994, 825, 536, 339, 27044, 263, 10019, 994, 825, 536, 339, 27044, 263, 10844, 994, 825, 536, 339, 27044, 263, 3199, 994, 825, 536, 339, 27044, 263, 11025, 994, 825, 536, 339, 9884, 1779, 18425, 318, 4650, 4590, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 1820, 6357, 339, 8542, 3941, 18380, 994, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 536, 339, 31927, 263, 3953, 994, 825, 1820, 3488, 24525, 476, 3953, 5073, 825, 1820, 3488, 27161, 29146, 8001, 315, 1479, 1111, 29146, 2431, 315, 1492, 697, 29146, 325, 321, 5073, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 536, 339, 9884, 1779, 18425, 318, 4650, 4590, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 1820, 6357, 339, 8542, 3941, 18380, 994, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 536, 339, 31927, 263, 10019, 994, 825, 1820, 3488, 24525, 476, 10019, 5073, 825, 1820, 3488, 27161, 29146, 8001, 315, 1479, 1111, 29146, 2431, 315, 1492, 697, 29146, 325, 321, 5073, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 536, 339, 9884, 1779, 18425, 318, 4650, 4590, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 1820, 6357, 339, 8542, 3941, 18380, 994, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 536, 339, 31927, 263, 11025, 994, 825, 1820, 3488, 24525, 476, 11025, 5073, 825, 1820, 3488, 27161, 29146, 8001, 315, 1479, 1111, 29146, 2431, 315, 1492, 697, 29146, 325, 321, 5073, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 536, 339, 9884, 1779, 18425, 318, 4650, 4590, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 5073, 825, 1820, 6357, 339, 8542, 3941, 18380, 994, 825, 1820, 3488, 20594, 20594, 11960, 7052, 30995, 17210, 825, 1948, 536, 339, 27044, 263, 275, 994, 825, 1948, 536, 339, 27044, 263, 273, 994, 825, 1948, 536, 339, 27044, 263, 277, 994, 825, 1948, 536, 339, 27044, 263, 272, 994, 825, 1948, 536, 339, 27044, 263, 274, 994, 825, 1948, 536, 339, 27044, 263, 276, 994, 825, 1948, 536, 339, 27044, 263, 1428, 994, 825, 1948, 536, 339, 27044, 263, 278, 994, 825, 1948, 536, 339, 27044, 263, 1626, 994, 825, 1948, 536, 339, 27044, 263, 1691, 994, 825, 1948, 536, 339, 12500, 339, 5091, 3863, 10797, 825, 1948, 536, 339, 27044, 263, 1015, 994, 825, 1948, 536, 339, 27044, 263, 276, 994, 825, 1948, 536, 339, 27044, 263, 1626, 994, 825, 1948, 536, 339, 27044, 263, 273, 994, 825, 1948, 536, 339, 27044, 263, 279, 994, 825, 1948, 536, 339, 27044, 263, 272, 994, 825, 1948, 536, 339, 12500, 339, 5091, 3863, 4590, 0, 258, 25956, 513, 1362, 547, 3180, 4055, 1344, 269, 901, 1058, 723, 2012, 543, 454, 258, 6609, 10305, 563, 692, 5035, 18740, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 6609, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 6155, 525, 5524, 815, 6609, 454, 1038, 1582, 8542, 15461, 815, 7183, 454, 1038, 1582, 4732, 15461, 815, 7183, 454, 1038, 1582, 4318, 15461, 815, 7183, 454, 1038, 1582, 9884, 15461, 815, 7183, 454, 1038, 1582, 269, 14403, 815, 29129, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 21803, 815, 535, 257, 1366, 9339, 10559, 333, 14826, 346, 1345, 20508, 4153, 333, 14826, 476, 2715, 1345, 6155, 525, 5524, 4153, 333, 14826, 1366, 9339, 268, 4840, 1038, 2132, 21803, 6834, 535, 257, 315, 333, 14826, 314, 346, 1345, 10947, 318, 1410, 527, 3890, 348, 316, 315, 333, 14826, 4840, 1038, 2132, 2132, 21803, 692, 825, 1219, 1205, 5091, 3925, 4311, 267, 4287, 2187, 1038, 5727, 1607, 1599, 2798, 519, 6345, 547, 519, 3403, 1540, 4287, 8173, 1038, 952, 4287, 538, 22373, 333, 2580, 834, 301, 257, 14158, 2018, 2132, 1582, 8542, 15461, 454, 1038, 8640, 4287, 538, 22373, 338, 2580, 834, 306, 257, 14158, 2018, 2132, 1582, 4732, 15461, 454, 1038, 8640, 4287, 538, 22373, 342, 2580, 834, 310, 257, 14158, 2018, 2132, 1582, 9884, 15461, 454, 1038, 8640, 4287, 538, 22373, 324, 2580, 834, 292, 257, 14158, 2018, 2132, 1582, 4318, 15461, 454, 1038, 3116, 912, 2018, 2132, 7183, 692, 825, 1219, 1205, 318, 1410, 527, 4311, 2187, 1038, 608, 1080, 815, 22373, 18744, 12232, 19648, 616, 4534, 15010, 31116, 1038, 952, 1582, 8542, 15461, 568, 711, 7183, 912, 2018, 608, 1080, 6910, 2891, 333, 5602, 1038, 952, 1582, 4732, 15461, 568, 711, 7183, 912, 2018, 608, 1080, 6910, 2891, 338, 5602, 1038, 952, 1582, 4318, 15461, 568, 711, 7183, 912, 2018, 608, 1080, 6910, 2891, 324, 5602, 1038, 952, 1582, 9884, 15461, 568, 711, 7183, 912, 2018, 608, 1080, 6910, 2891, 342, 5602, 1038, 2132, 14307, 834, 269, 21860, 263, 1410, 1080, 264, 0, 4067, 6889, 339, 732, 3534, 4840, 335, 23424, 6889, 11277, 27174, 4840, 328, 284, 274, 454, 6112, 1775, 285, 271, 912, 825, 562, 815, 3403, 2891, 13644, 371, 27447, 24662, 17958, 16043, 371, 12571, 491, 5602, 825, 533, 815, 3403, 2891, 13644, 371, 27447, 24662, 21382, 484, 419, 510, 479, 5602, 825, 952, 2012, 2525, 333, 543, 533, 23424, 2525, 335, 912, 1038, 2736, 454, 825, 1775, 268, 284, 272, 454, 825, 1820, 2891, 27447, 24662, 421, 498, 503, 13644, 363, 8147, 13644, 371, 19404, 491, 13161, 364, 27447, 24662, 5602, 604, 1775, 2525, 271, 912, 825, 1820, 2891, 5405, 497, 418, 361, 350, 10951, 374, 25263, 504, 26266, 366, 14756, 493, 17958, 14395, 490, 5602, 2745, 2891, 418, 361, 351, 13213, 492, 418, 480, 357, 18713, 508, 23521, 354, 5602, 0, 1598, 272, 284, 6358, 2891, 13644, 371, 27447, 24662, 16583, 510, 14748, 21211, 8147, 10254, 353, 13161 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 726, 8974, 568, 513, 646, 29532, 25213, 10522, 602, 621, 568, 4731, 636, 538, 694, 269, 1590, 723, 6392, 547, 2445, 610, 4309, 634, 7482, 610, 3959, 1590, 581, 4607, 538, 606, 4013, 4390, 269, 630, 323, 1916, 1492, 18177, 11464, 568, 711, 1881, 269, 952, 693, 519, 1360, 4090, 950, 519, 17732, 568, 4362, 269, 676, 1022, 17101, 11464, 269, 519, 16912, 1632, 1281, 711, 8451, 269, 3040, 8121, 12087, 4041, 476, 25908, 269, 5370, 610, 824, 2123, 3959, 661, 4041, 300, 19006, 281, 476, 272, 269, 476, 274, 269, 3040, 24637, 543, 3765, 1952, 10187, 566, 616, 711, 2556, 269, 2334, 972, 568, 1857, 2508, 610, 3959, 896, 1010, 7245, 269, 31177, 565, 269, 589, 1268, 4171, 32226, 1500, 2009, 519, 10243, 540, 4731, 951, 566, 676, 1776, 666, 581, 4371, 25964, 607, 513, 9030, 676, 16832, 9316, 269, 630, 4462, 4818, 5962, 264, 10920, 12304, 528, 616, 2877, 547, 1294, 713, 4605, 269, 14889, 4041, 294, 3201, 2475, 292, 5508, 29706, 13993, 2975, 674, 7419, 9169, 10758, 11550, 303, 12224, 312, 661, 4041, 300, 19006, 5508, 570, 20168, 13965, 631, 3201, 23615, 6347, 3582, 281, 476, 272, 269, 2334, 971, 1857, 2508, 610, 3959, 814, 1044, 3261, 730, 676, 1876, 610, 3921, 12099, 630, 23719, 713, 269, 16797, 11742, 12814, 543, 513, 4658, 642, 269, 519, 7508, 2179, 568, 1336, 538, 606, 796, 3147, 25383, 1747, 269, 476, 273, 269, 1717, 269, 2334, 646, 568, 2838, 676, 1876, 610, 7939, 547, 11904, 6589, 547, 519, 8189, 593, 10748, 527, 269, 4825, 9506, 519, 900, 2041, 3960, 1194, 7482, 568, 711, 606, 23614, 532, 25896, 855, 1152, 19086, 269, 2436, 538, 519, 3028, 610, 9674, 972, 5228, 269, 634, 5821, 540, 513, 1857, 11464, 547, 723, 1022, 5918, 569, 8521, 5765, 1857, 7482, 610, 3959, 2390, 3747, 269, 2334, 646, 1590, 723, 796, 18721, 2685, 2451, 630, 528, 581, 593, 519, 1448, 540, 6028, 264, 519, 13372, 1510, 17516, 689, 519, 8189, 593, 10748, 527, 513, 15149, 6029, 602, 1010, 6589, 723, 1044, 6368, 12306, 269, 16998, 476, 278, 270, 2420, 270, 6734, 570, 9281, 293, 476, 9610, 276, 5392, 269, 2334, 646, 1590, 581, 606, 18177, 11464, 585, 1857, 7482, 610, 3959, 269, 610, 3765, 1952, 10187, 908, 270, 4621, 550, 514, 575, 269, 3040, 3040, 8121, 12087, 4041, 476, 13136, 5861, 17964, 4521, 14400, 5623, 518, 11083, 2894, 292, 302, 595, 7728, 305, 3201, 645, 2752, 20525, 2207, 25972, 476, 1220, 278, 3040, 3040, 1879, 4731, 951, 566, 568, 711, 8149, 998, 32226, 269, 14174, 6579, 13543, 5508, 589, 19419, 303, 2177, 10485, 25770, 29706, 13993, 2975, 5508, 293, 2975, 2207, 9215, 681, 21715, 2207, 8028, 4596, 7419, 4811, 645, 9128, 16800, 700, 12788, 309, 5058, 5990, 2910, 7419, 15045, 312, 661, 4041, 300, 19006, 281, 476, 272, 269, 1703, 568, 849, 1100, 4731, 951, 566, 950, 519, 18177, 11464, 568, 8078, 539, 547, 979, 856, 540, 1010, 5604, 543, 10210, 519, 2179, 7222, 547, 519, 17732, 543, 2663, 269, 14174, 6579, 13543, 5508, 8028, 4596, 7419, 307, 21764, 5508, 293, 2975, 2207, 9215, 681, 21715, 2207, 8028, 4596, 7419, 307, 14174, 6579, 13543, 5508, 8028, 4596, 7419, 307, 21764, 5508, 293, 2975, 2207, 9215, 681, 21715, 2207, 8028, 4596, 7419, 307, 8525, 476, 15686, 540, 476, 14690, 1547, 610, 998, 10205, 618, 610, 32226, 269, 476, 274, 269, 543, 476, 275, 269, 2334, 646, 14543, 547, 798, 865, 585, 513, 1974, 540, 1079, 3275, 1310, 971, 6589, 1058, 581, 21235, 269, 543, 646, 5612, 17188, 519, 2179, 689, 1010, 17927, 269, 519, 1055, 2658, 1281, 711, 17589, 1022, 2123, 2744, 269, 476, 273, 269, 476, 273, 269, 2334, 519, 1055, 2658, 568, 513, 1857, 11464, 269, 2334, 519, 1055, 2658, 568, 513, 1857, 11464, 269, 543, 476, 274, 269, 3040, 634, 957, 540, 6028, 519, 13372, 1590, 581, 18977, 610, 711, 15868, 676, 1876, 269, 28498, 1022, 824, 1268, 547, 1491, 519, 1857, 7482, 24579, 704, 1399, 29643, 288, 11902, 23166, 9474, 27516, 5508, 12164, 293, 2839, 9970, 630, 25628, 264, 8750, 338, 24579, 704, 1399, 616, 2141, 4357, 5510, 2658, 568, 513, 4357, 1367, 610, 1256, 513, 1857, 11464, 945, 568, 711, 18177, 585, 1857, 7482, 24579, 704, 1399, 17235, 568, 8149, 676, 3765, 1952, 10187, 908, 269, 4927, 581, 2215, 320, 1795, 773, 2963, 602, 646, 814, 2322, 971, 7508, 7482, 610, 3959, 547, 2123, 946, 269, 519, 7482, 616, 8806, 13991, 547, 930, 824, 1857, 946, 269, 14291, 269, 631, 3201, 23615, 6347, 3582, 630, 24241, 264, 8750, 338, 610, 3959, 2356, 1857, 5510, 2658, 568, 2356, 513, 1857, 11464, 945, 568, 18177, 585, 519, 1857, 7482, 24579, 704, 1399, 17235, 568, 8149, 676, 3261, 908, 269, 1548, 568, 1898, 568, 602, 813, 749, 656, 1185, 26692, 610, 1852, 540, 1857, 7482, 676, 2601, 540, 519, 11645, 540, 1010, 5604, 269, 634, 1249, 602, 519, 17185, 547, 16005, 519, 10070, 540, 519, 4975, 7066, 5501, 337, 781, 8433, 568, 711, 4988, 676, 813, 749, 656, 781, 4013, 2816, 6609, 568, 540, 1100, 3656, 12343, 538, 513, 31989, 585, 5689, 951, 566, 269, 2334, 646, 1590, 581, 606, 18177, 11464, 585, 1857, 7482, 610, 3959, 269, 2334, 519, 1055, 2658, 568, 513, 1857, 11464, 269, 12559, 775, 540, 3441, 568, 1152, 513, 19086, 25896, 269, 3040, 1677, 10646, 713, 2376, 609, 3203, 476, 24241, 630, 7356, 951, 566, 1040, 3040, 3040, 8121, 12087, 4041, 476, 25546, 269, 2334, 646, 10039, 519, 1482, 547, 513, 1857, 946, 824, 982, 585, 799, 971, 2508, 610, 3959, 814, 1044, 3261, 730, 676, 1876, 610, 3921, 12099, 269, 610, 27102, 2348, 4607, 2724, 269, 2921, 269, 543, 476, 275, 269, 621, 568, 2241, 4731, 951, 566, 264, 1547, 24637, 676, 610, 3441, 547, 519, 2229, 616, 711, 2556, 2609, 540, 519, 6760, 540, 4731, 951, 566, 269, 3668, 540, 7803, 8247, 610, 1434, 5132, 568, 513, 8878, 269, 610, 547, 513, 21621, 2912, 3218, 269, 538, 10363, 946, 540, 1857, 7482, 610, 3959, 563, 1729, 5838, 3959, 538, 1010, 26692, 610, 7245, 950, 10288, 676, 19579, 6392, 269, 538, 1022, 4390, 269, 476, 273, 269, 543, 476, 275, 269, 8907, 269, 7151, 281, 513, 609, 3835, 532, 3454, 8665, 476, 273, 269, 476, 273, 269, 2901, 30969, 26956, 610, 26956, 676, 3803, 10385, 269, 7482, 610, 3959, 538, 1010, 15896, 269, 2334, 519, 1857, 11464, 814, 979, 341, 1406, 269, 476, 24241, 9215, 476, 21854, 281, 476, 272, 269, 26681, 568, 6071, 7003, 3050, 610, 561, 1314, 640, 538, 519, 2773, 540, 10279, 13054, 540, 1102, 23474, 269, 8556, 15249, 610, 7263, 3202, 540, 7482, 610, 3959, 602, 814, 1044, 7923, 269, 3245, 602, 942, 593, 269, 1635, 17528, 547, 1118, 8569, 676, 513, 1857, 11464, 945, 568, 896, 17185, 547, 1118, 971, 8569, 689, 6554, 7482, 538, 1010, 15896, 476, 273, 269, 3040, 6755, 531, 1399, 568, 1759, 593, 1871, 540, 7482, 24579, 704, 1399, 547, 581, 9447, 269, 12164, 301, 4353, 5058, 23166, 10758, 12164, 306, 2894, 16249, 9215, 12601, 3008, 12778, 661, 4041, 300, 19006, 281, 476, 272, 269, 2334, 971, 26956, 23012, 689, 1010, 26692, 269, 2334, 971, 26956, 1965, 7870, 998, 1010, 32226, 269, 1256, 952, 11262, 676, 513, 4357, 1367, 269, 610, 3959, 269, 791, 15903, 610, 5116, 538, 16005, 676, 1857, 6392, 264, 17721, 3959, 568, 3769, 952, 621, 568, 7923, 15301, 7343, 31212, 547, 17982, 10040, 540, 570, 9281, 293, 630, 4462, 4818, 5962, 264, 10920, 12304, 528, 616, 2877, 547, 1294, 713, 4605, 269, 476, 274, 1848, 630, 288, 14006, 763, 10153, 264, 634, 5305, 540, 513, 30969, 26956, 945, 1223, 711, 581, 9447, 547, 16324, 8128, 1369, 519, 942, 6378, 676, 1876, 568, 711, 1102, 23474, 538, 519, 26692, 540, 513, 26956, 269, 646, 568, 2907, 513, 30969, 26956, 1256, 952, 646, 568, 711, 2943, 23948, 730, 269, 17721, 1367, 945, 269, 2334, 646, 568, 9901, 609, 519, 6655, 766, 610, 26692, 540, 513, 26956, 269, 2334, 519, 1055, 2658, 568, 513, 1857, 11464, 630, 517, 10279, 1040, 1703, 568, 1483, 543, 4890, 859, 5235, 540, 3028, 540, 4845, 950, 519, 8169, 617, 1014, 14998, 519, 26956, 547, 3489, 513, 11005, 540, 1010, 26646, 269, 21549, 543, 711, 538, 5279, 540, 3959, 7923, 269, 5508, 293, 2975, 8991, 5442, 12710, 11070, 3633, 5442, 5990, 28217, 290, 3633, 5058, 11550, 309, 3041, 12778, 306, 623, 8991, 2177, 306, 22244, 21764, 6167, 29308, 26353, 269, 1635, 32222, 547, 1118, 6765, 676, 513, 1857, 11464, 945, 814, 1044, 10288, 676, 19579, 6392, 547, 5838, 1022, 3959, 538, 1010, 26692, 610, 896, 1010, 7245, 630, 332, 755, 581, 17351, 264, 661, 4041, 300, 19006, 281, 476, 272, 269, 901, 4016, 547, 519, 22920, 540, 519, 1433, 532, 6656, 543, 1500, 547, 6445, 513, 1106, 630, 338, 545, 264, 1141, 646, 568, 9416, 9102, 269, 3040, 8525, 476, 6344, 540, 476, 14690, 1547, 14174, 6579, 13543, 9215, 10790, 17395, 667, 5085, 4353, 28475, 5508, 29706, 13993, 2975, 674, 7419, 9169, 10758, 11550, 303, 12224, 312, 8028, 4811, 623, 7419, 23360, 3633, 281, 476, 272, 269, 543, 476, 274, 269, 2334, 646, 729, 538, 598, 16622, 766, 609, 519, 26956, 538, 519, 8545, 779, 9101, 269, 8121, 12087, 4041, 476, 19442, 269, 476, 273, 269, 12601, 3008, 12778, 8946, 4629, 308, 21203, 715, 9680, 299, 5456, 9970, 661, 4041, 300, 19006, 281, 476, 272, 269, 25868, 610, 20024, 676, 1857, 6392, 269, 2901, 30969, 26956, 610, 26956, 676, 3803, 10385, 269, 723, 5279, 540, 1022, 3084, 6993, 1268, 3587, 513, 30969, 26956, 689, 519, 4090, 646, 568, 1433, 539, 269, 1118, 8569, 689, 971, 7482, 269, 610, 536, 269, 2334, 646, 568, 9901, 609, 519, 6655, 766, 610, 26692, 540, 513, 26956, 269, 10691, 2464, 281, 3040, 634, 2376, 5309, 8460, 513, 17386, 561, 1314, 640, 799, 5666, 547, 20982, 1875, 26024, 540, 513, 10279, 269, 3040, 3040, 15593, 14554, 543, 2256, 1392, 2887, 896, 519, 2165, 968, 611, 3439, 15249, 892, 7225, 2772, 23070, 711, 4988, 676, 713, 16797, 11742, 12814, 543, 513, 2376, 269, 3040, 8121, 12087, 4041, 476, 23470, 269, 21621, 610, 18513, 7482, 269, 543, 476, 274, 5861, 17964, 4521, 14400, 5623, 518, 11083, 2894, 292, 302, 595, 7728, 305, 3201, 645, 2752, 20525, 2207, 25972, 476, 1220, 278, 8121, 12087, 4041, 476, 21854, 269, 25868, 610, 20024, 676, 1857, 6392, 269, 2334, 519, 1055, 2658, 568, 513, 1857, 11464, 269, 2334, 646, 17351, 569, 14543, 610, 31439, 547, 798, 865, 269, 2334, 646, 568, 896, 17185, 547, 2901, 281, 513, 269, 3040, 3848, 12866, 1107, 5442, 293, 2839, 5085, 14510, 5508, 29706, 13993, 2975, 5508, 293, 2975, 8991, 8121, 12087, 4041, 476, 23417, 269, 3040, 667, 4953, 2894, 3582, 11553, 3041, 2177, 2207, 4586, 604, 646, 568, 513, 26956, 676, 3803, 10385, 269, 2334, 519, 6655, 766, 610, 26692, 540, 513, 26956, 610, 1268, 896, 10654, 568, 1476, 3660, 547, 1864, 269, 543, 476, 275, 269, 2334, 519, 1055, 2658, 931, 757, 547, 519, 9101, 540, 519, 26956, 610, 1268, 896, 10654, 269, 898, 568, 1799, 1468, 2436, 610, 711, 519, 28302, 3483, 540, 519, 1055, 2658, 814, 1044, 12913, 269, 1974, 25025, 269, 2334, 519, 1055, 2658, 568, 513, 1857, 11464, 269, 476, 274, 269, 610, 602, 519, 9101, 3217, 1747, 998, 1010, 32226, 269, 476, 274, 269, 547, 7443, 676, 621, 269, 2334, 646, 7493, 338, 269, 2334, 519, 1767, 3561, 610, 1957, 1058, 723, 1044, 1303, 27434, 547, 971, 1857, 11464, 676, 2601, 540, 1010, 5604, 269, 3040, 31203, 568, 2204, 332, 730, 2390, 8851, 610, 9658, 1154, 2476, 540, 519, 3561, 689, 922, 8912, 1747, 269, 1547, 543, 476, 275, 269, 3040, 634, 3441, 949, 2901, 581, 1390, 610, 1507, 269, 3441, 568, 16912, 539, 269, 11536, 290, 4338, 292, 5508, 11553, 3041, 2177, 2207, 6167, 29308, 5990, 595, 19851, 7495, 312, 5508, 589, 623, 8991, 2177, 10691, 589, 29706, 13993, 2975, 5508, 293, 2975, 2207, 661, 4041, 300, 19006, 281, 476, 272, 269, 3040, 5548, 1853, 532, 519, 3561, 547, 519, 4636, 5428, 568, 1102, 23474, 538, 519, 26692, 23476, 269, 31087, 10976, 3201, 5861, 17964, 4521, 14400, 5623, 518, 11083, 2894, 292, 302, 595, 7728, 305, 3201, 645, 2752, 20525, 2207, 25972, 476, 1220, 278, 3040, 634, 1249, 602, 519, 1857, 11464, 973, 2194, 3293, 519, 26956, 945, 1185, 23012, 689, 1010, 26692, 1281, 711, 6488, 1864, 2347, 608, 1529, 335, 566, 269, 30732, 7410, 269, 30001, 610, 10703, 1023 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9905, 2709, 3255, 585, 31070, 267, 5698, 267, 543, 8994, 1489, 267, 4543, 596, 11349, 1898, 1983, 899, 6568, 267, 2792, 267, 4655, 6571, 267, 543, 1966, 9010, 269, 5015, 267, 2502, 609, 3309, 5380, 6087, 596, 547, 22962, 707, 20030, 267, 4161, 707, 10054, 267, 543, 13217, 707, 1378, 16752, 780, 4913, 267, 621, 781, 1271, 547, 5431, 602, 711, 782, 9263, 7506, 616, 20244, 6225, 269, 20134, 9263, 3347, 666, 1267, 538, 17672, 4539, 267, 1519, 8519, 4081, 2773, 267, 2799, 19408, 2623, 267, 2269, 1441, 1920, 3347, 267, 543, 21022, 2790, 1072, 269, 9182, 267, 3384, 4187, 2994, 543, 5807, 6043, 616, 2629, 3334, 540, 4509, 2635, 9263, 3347, 780, 4089, 476, 273, 281, 17291, 25398, 16242, 692, 8248, 518, 2604, 568, 513, 3532, 3196, 602, 1419, 28107, 5705, 569, 1369, 1514, 8658, 269, 898, 666, 1491, 1585, 3029, 267, 8151, 689, 1463, 13720, 725, 547, 11029, 10372, 269, 2368, 1455, 2010, 540, 9263, 2604, 1331, 1384, 272, 269, 1975, 7505, 12503, 281, 6034, 11913, 13668, 547, 4497, 538, 1808, 2238, 610, 5615, 563, 273, 269, 24296, 335, 7505, 12503, 281, 6348, 16812, 10291, 31552, 13170, 610, 7106, 549, 1998, 1759, 593, 707, 3664, 543, 3527, 563, 274, 269, 15474, 12503, 281, 11559, 618, 547, 11654, 3853, 267, 11441, 585, 17284, 267, 610, 7119, 538, 1007, 2833, 563, 275, 269, 20134, 12503, 281, 3213, 2075, 542, 547, 851, 820, 538, 5739, 267, 5906, 267, 610, 10363, 2238, 780, 28403, 1944, 891, 3982, 3029, 540, 9263, 2604, 2636, 596, 547, 4431, 14013, 543, 7682, 1947, 950, 5185, 609, 4101, 3871, 269, 1635, 1373, 3222, 540, 519, 1114, 2081, 538, 799, 9263, 3310, 666, 8915, 267, 596, 616, 1732, 9280, 547, 2226, 707, 13190, 543, 5706, 5732, 14124, 7506, 780, 4089, 476, 274, 281, 15043, 18650, 11150, 692, 2414, 3927, 25559, 2942, 9263, 2604, 267, 2015, 14139, 930, 540, 519, 1739, 2963, 2861, 4187, 2994, 1384, 272, 269, 8682, 18221, 281, 4980, 10675, 513, 2178, 2631, 540, 1582, 676, 7114, 707, 4295, 2418, 267, 9342, 267, 18653, 267, 543, 4690, 269, 18833, 945, 596, 616, 543, 1018, 596, 1796, 585, 2306, 621, 4443, 547, 2611, 32344, 538, 519, 3068, 540, 5007, 12503, 563, 273, 269, 2667, 1068, 4369, 281, 6258, 547, 2769, 3054, 5693, 543, 18390, 1510, 759, 15659, 547, 14699, 610, 19169, 269, 6657, 4259, 6302, 267, 6031, 1100, 267, 543, 21350, 6005, 707, 8369, 31635, 563, 274, 269, 15765, 6947, 281, 9796, 3007, 547, 1018, 1866, 616, 6031, 543, 6542, 9758, 1719, 538, 741, 5133, 269, 8058, 6568, 543, 19472, 741, 4606, 1247, 6967, 3020, 547, 707, 31710, 563, 275, 269, 10201, 2510, 8446, 281, 11020, 10445, 4244, 2238, 610, 6114, 602, 5447, 609, 707, 2418, 543, 14422, 269, 11109, 513, 1544, 538, 4434, 2337, 24772, 707, 6015, 543, 6971, 4160, 2404, 609, 1164, 25774, 7653, 563, 276, 269, 16418, 16167, 281, 28259, 3054, 609, 2043, 945, 2671, 2147, 2418, 543, 17050, 269, 4980, 10675, 11215, 17052, 3710, 2390, 3972, 267, 19969, 267, 543, 1930, 2792, 563, 277, 269, 10020, 25178, 281, 1234, 515, 12838, 1761, 13341, 5473, 9263, 2604, 1210, 1909, 25178, 5751, 269, 28552, 891, 7391, 22316, 596, 547, 6023, 1483, 8996, 3871, 811, 3927, 563, 278, 269, 8682, 13282, 281, 26875, 1125, 707, 2168, 267, 3929, 267, 543, 5626, 8171, 269, 18918, 538, 2834, 3635, 267, 3548, 4333, 13124, 267, 4383, 2566, 267, 543, 2327, 7850, 3207, 269, 14171, 1416, 540, 3054, 18791, 707, 2702, 547, 1118, 3280, 3664, 543, 5706, 13311, 7506, 563, 279, 269, 12333, 948, 281, 1403, 2556, 267, 3343, 5583, 689, 24784, 267, 16293, 267, 610, 11967, 23003, 269, 1358, 666, 1683, 3407, 4030, 267, 12003, 6127, 267, 543, 2200, 547, 4217, 596, 538, 5883, 4101, 9263, 3347, 780, 6962, 692, 32382, 519, 10848, 540, 9263, 3347, 3340, 6297, 7156, 267, 9837, 1275, 267, 543, 6043, 269, 1635, 9301, 519, 1379, 540, 9263, 3310, 267, 1620, 922, 1761, 19363, 267, 543, 7598, 2500, 4187, 2994, 267, 596, 2482, 519, 24536, 585, 14637, 16180, 4296, 602, 3565, 9797, 547, 707, 2949, 1646, 607, 513, 1762, 2937, 269, 5457, 267, 707, 3460, 4724, 8076, 15296, 3322, 8508, 707, 2189, 5639, 9624, 519, 1623, 21620, 540, 9263, 6644, 267, 6038, 7175, 596, 547, 8853, 543, 21707, 538, 2221, 781, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4415, 2290, 2986, 3776, 26133, 24635, 20226, 5808, 654, 26877, 6435, 1411, 22067, 5455, 2060, 589, 11773, 10794, 4643, 1280, 2659, 24635, 2336, 1103, 519, 6946, 13795, 540, 18273, 267, 519, 16060, 540, 3347, 3180, 513, 4105, 1747, 267, 22805, 1927, 2833, 602, 3337, 938, 12322, 883, 519, 4079, 789, 786, 1831, 269, 968, 293, 29183, 16200, 22627, 281, 589, 6651, 547, 24635, 20556, 8490, 585, 513, 8081, 633, 8892, 892, 3884, 1406, 1175, 827, 10188, 519, 1950, 1158, 540, 18295, 17052, 543, 32741, 282, 621, 779, 827, 18413, 519, 5748, 585, 2635, 267, 11215, 3347, 602, 786, 10802, 741, 2729, 585, 1296, 547, 2097, 269, 769, 713, 3391, 267, 649, 2263, 519, 15491, 2470, 540, 7141, 3347, 267, 1620, 741, 7096, 1764, 593, 3929, 267, 1514, 267, 543, 2123, 1646, 563, 4263, 519, 2295, 540, 7141, 1646, 6013, 519, 4644, 540, 9263, 3347, 269, 1452, 4296, 616, 811, 982, 1175, 17052, 282, 789, 616, 519, 19141, 10452, 513, 7141, 779, 3961, 267, 2591, 267, 543, 2208, 269, 25398, 3347, 1683, 513, 3760, 585, 17634, 267, 1582, 268, 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, 4317, 11762, 1315, 25398, 16242, 1315, 18650, 11150, 543, 25085, 618, 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, 6637, 476, 1015, 281, 634, 631, 26663, 5843, 15816, 910, 18227, 9869, 8558, 11162, 543, 15822, 692, 5970, 596, 2479, 11074, 547, 1589, 827, 782, 519, 6263, 7068, 602, 2661, 782, 1472, 721, 286, 1452, 2370, 7103, 616, 1572, 14471, 267, 610, 17973, 585, 2110, 269, 2368, 17973, 666, 2014, 3676, 267, 1247, 1866, 616, 5363, 543, 1256, 2556, 585, 938, 4703, 547, 1599, 5265, 269, 1809, 1100, 2339, 1018, 2186, 789, 616, 267, 621, 781, 1271, 547, 1832, 873, 896, 1852, 2439, 1103, 713, 3184, 267, 649, 2811, 2469, 547, 2263, 875, 835, 1895, 540, 6413, 4600, 267, 1634, 607, 6239, 28238, 850, 14409, 3353, 5974, 630, 528, 11483, 8976, 338, 1070, 948, 1832, 10506, 2973, 543, 2922, 676, 9013, 519, 3262, 540, 5739, 17973, 780, 5575, 267, 1577, 781, 2911, 827, 1946, 621, 781, 865, 1271, 547, 1832, 10506, 2973, 269, 5620, 596, 2479, 1044, 547, 513, 6413, 610, 16758, 286, 1411, 4440, 8068, 602, 3388, 6743, 1360, 2973, 543, 21743, 269, 2334, 781, 1317, 10506, 616, 2407, 540, 7210, 1004, 267, 543, 17900, 2648, 547, 13793, 856, 538, 4025, 1141, 972, 616, 6266, 540, 7210, 1004, 269, 1403, 891, 17900, 5749, 1405, 6854, 896, 1852, 267, 789, 666, 3362, 3262, 689, 1268, 547, 1268, 543, 1118, 3025, 1256, 811, 7210, 780, 6546, 781, 1141, 11483, 8976, 338, 2097, 538, 269, 4256, 1292, 2816, 568, 547, 2973, 543, 10322, 559, 1125, 10551, 2645, 543, 3937, 269, 901, 1184, 3322, 1896, 3268, 269, 3689, 267, 519, 18660, 2645, 616, 5116, 538, 513, 2027, 3684, 602, 3096, 1164, 5210, 543, 6464, 547, 6146, 1022, 17900, 593, 741, 7252, 269, 3973, 267, 519, 2645, 616, 5402, 26437, 543, 13042, 865, 602, 7189, 543, 11923, 917, 799, 3283, 616, 2973, 543, 4712, 547, 946, 780, 3719, 7738, 3884, 1405, 519, 1152, 3364, 11483, 8976, 338, 798, 547, 2061, 519, 3262, 540, 17900, 269, 1358, 849, 991, 547, 1174, 875, 1114, 2010, 540, 17973, 13789, 543, 875, 789, 666, 581, 6417, 269, 1280, 1383, 267, 930, 4551, 616, 11259, 547, 1978, 2010, 540, 21149, 1218, 267, 865, 11483, 8976, 338, 723, 547, 581, 6297, 547, 3442, 519, 1318, 7738, 3070, 585, 1142, 2816, 269, 1656, 930, 8290, 666, 7639, 593, 7252, 585, 1279, 5712, 540, 942, 267, 865, 11483, 8976, 338, 723, 547, 1118, 2386, 547, 2973, 543, 21149, 1169, 562, 809, 543, 1835, 15967, 780, 2414, 1451, 782, 540, 713, 267, 11483, 8976, 338, 1353, 5396, 899, 14169, 267, 17550, 267, 543, 8762, 5735, 269, 22845, 568, 519, 1353, 540, 519, 1480, 1560, 267, 543, 17550, 568, 519, 1353, 540, 875, 519, 1560, 1568, 269, 1635, 1620, 875, 519, 1560, 1568, 267, 11483, 8976, 338, 666, 1732, 1174, 875, 17900, 666, 1860, 621, 543, 875, 547, 2149, 621, 269, 31814, 568, 519, 1353, 540, 14471, 267, 1519, 1312, 5363, 543, 5739, 3283, 269, 1635, 1565, 827, 1114, 2010, 540, 17973, 267, 11483, 8976, 338, 666, 4137, 856, 519, 1655, 2081, 547, 1852, 741, 3262, 780, 3080, 2523, 1271, 1523, 602, 11483, 8976, 338, 1451, 827, 568, 3968, 1852, 269, 25124, 1852, 568, 519, 2259, 540, 7303, 519, 3262, 540, 11763, 8069, 267, 971, 607, 4551, 543, 8290, 269, 1677, 798, 713, 267, 11483, 8976, 338, 1246, 7453, 4808, 585, 7738, 543, 21149, 532, 7252, 267, 7829, 543, 8741, 532, 540, 13572, 2326, 267, 543, 7863, 2933, 543, 1866, 689, 4598, 547, 5739, 17900, 780, 2690, 1383, 267, 1705, 596, 917, 602, 1945, 607, 2241, 607, 11067, 707, 3946, 666, 948, 3247, 519, 3262, 540, 17900, 286, 2334, 781, 1946, 11483, 8976, 338, 2141, 11547, 741, 3946, 1354, 543, 1310, 7829, 10551, 2645, 543, 3937, 269, 1358, 849, 5957, 17309, 267, 13968, 267, 543, 824, 8825, 10591, 547, 2061, 17900, 689, 3478, 5196, 741, 2960, 610, 883, 741, 28182, 780, 3383, 1985, 942, 596, 3643, 513, 6413, 610, 16758, 267, 3314, 782, 519, 2182, 960, 602, 4422, 883, 5329, 621, 2973, 543, 2922, 269, 3245, 519, 11483, 8976, 338, 945, 23939, 2973, 543, 10322, 559, 1125, 10551, 2645, 267, 547, 519, 7189, 543, 11923, 945, 1246, 7453, 3968, 1852, 10873, 267, 3025, 4249, 513, 1909, 538, 5329, 596, 2635, 543, 6126, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23338, 28238, 850, 14409, 3353, 6509, 454, 288, 1875, 29931, 9016, 1982, 602, 22316, 596, 585, 513, 4876, 607, 513, 6239, 28238, 850, 14409, 3353, 6509, 454, 303, 4631, 949, 4268, 543, 616, 1641, 547, 1689, 693, 1022, 942, 269, 7956, 9248, 543, 11400, 3769, 538, 3902, 563, 293, 27448, 654, 22473, 288, 267, 590, 2793, 303, 454, 27832, 982, 476, 277, 3275, 454, 24404, 916, 5510, 1229, 12096, 267, 11354, 267, 14400, 454, 8196, 1250, 6311, 13750, 547, 1265, 856, 950, 543, 1141, 707, 1576, 786, 581, 4371, 563, 23763, 547, 960, 538, 3782, 855, 711, 2047, 609, 2550, 286, 3776, 6239, 28238, 850, 14409, 3353, 6509, 1982, 1522, 581, 585, 596, 563, 23338, 28238, 850, 14409, 3353, 5974, 630, 5425, 8976, 264, 616, 3743, 585, 11183, 10551, 7405, 538, 10506, 267, 2564, 13646, 267, 10551, 7740, 543, 19190, 269, 1358, 616, 3810, 2877, 3782, 4648, 945, 2087, 519, 2298, 540, 3461, 1416, 676, 10893, 3968, 3928, 563, 763, 11483, 8976, 1982, 10905, 4928, 543, 4791, 1995, 267, 2901, 2228, 610, 593, 268, 3033, 267, 8720, 3584, 543, 1983, 1519, 632, 4186, 8727, 543, 10322, 16478, 4393, 267, 14169, 543, 17550, 267, 8762, 5735, 267, 3968, 1852, 513, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 31814, 1315, 25124, 6513, 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, 6092, 5149, 281, 4498, 1145, 532, 519, 5295, 540, 32730, 267, 19396, 4886 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 7246, 5026, 25919, 22853, 15653, 454, 9617, 899, 2063, 1032, 267, 14130, 19724, 640, 26064, 23745, 570, 1551, 4718, 1010, 5026, 25919, 17203, 15653, 593, 922, 1378, 563, 307, 1551, 779, 17203, 729, 2484, 689, 3501, 267, 1498, 269, 2755, 621, 3656, 1242, 1312, 10685, 543, 2228, 5026, 25919, 267, 621, 1131, 723, 19275, 782, 25919, 593, 2852, 5026, 563, 307, 1551, 779, 11556, 1131, 723, 3454, 539, 2228, 5026, 581, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 3943, 4211, 987, 4301, 21478, 538, 8832, 1715, 4789, 257, 607, 851, 540, 834, 19615, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 1315, 1715, 4789, 630, 6311, 267, 10790, 267, 19294, 267, 19760, 267, 681, 296, 267, 966, 307, 29215, 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, 589, 1906, 3275, 3516, 267, 594, 3357, 2066, 519, 1657, 3948, 827, 11009, 543, 922, 1764, 593, 3929, 4987, 543, 3375, 6194, 1983, 269, 2271, 29098, 267, 594, 4956, 547, 6451, 11009, 2853, 883, 1250, 3232, 6296, 547, 1294, 952, 621, 1131, 1118, 1022, 3017, 538, 1250, 1272, 269, 1411, 1294, 267, 594, 6415, 513, 1164, 1153, 2979, 4116, 609, 513, 15116, 15908, 910, 6061, 11676, 1731, 781, 18695, 269, 594, 666, 4194, 513, 476, 274, 343, 274, 13306, 538, 896, 513, 8792, 267, 543, 594, 2648, 3450, 1866, 875, 547, 798, 621, 1932, 256, 1717, 267, 594, 3006, 6560, 609, 9639, 950, 4543, 1053, 945, 1265, 621, 2352, 547, 9787, 519, 1523, 3533, 269, 594, 12479, 602, 8026, 11009, 1223, 948, 803, 1831, 811, 3461, 543, 1620, 780, 3080, 1554, 267, 1282, 12899, 2736, 267, 594, 729, 7713, 519, 6620, 585, 6061, 513, 11676, 1731, 781, 28116, 547, 513, 2875, 3957, 5981, 267, 945, 1185, 1044, 3843, 547, 4487, 621, 585, 4374, 1510, 1967, 269, 3733, 8912, 15131, 5828, 883, 17140, 607, 5981, 8959, 547, 1246, 1250, 5528, 7157, 267, 1256, 1310, 2789, 8942, 269, 594, 9575, 8885, 9870, 1250, 5639, 267, 4743, 20714, 539, 267, 543, 1818, 14962, 633, 8292, 269, 898, 7012, 1405, 835, 540, 1250, 20923, 8090, 780, 30952, 602, 10543, 267, 594, 15422, 519, 11009, 2553, 594, 1185, 3323, 8026, 267, 1519, 2620, 1532, 805, 3107, 5751, 543, 2519, 593, 519, 1459, 4090, 269, 7464, 1944, 594, 2877, 547, 4019, 891, 2994, 538, 1250, 4205, 609, 5981, 267, 594, 1500, 909, 1250, 2247, 547, 1935, 938, 1985, 8400, 8335, 780, 2691, 5981, 8452, 693, 1250, 4928, 519, 1739, 1554, 267, 646, 8604, 27209, 267, 855, 594, 3576, 513, 2620, 7362, 543, 18056, 8885, 547, 3251, 9350, 543, 5059, 269, 5502, 540, 678, 5241, 998, 3137, 267, 594, 30281, 1524, 543, 13761, 538, 609, 1864, 5781, 267, 6998, 952, 646, 6956, 1142, 1900, 1354, 3001, 4464, 269, 1879, 646, 1869, 17388, 267, 2864, 982, 3395, 21616, 267, 649, 561, 13774, 1117, 1927, 543, 6836, 4244, 2409, 2394, 1945, 6368, 4945, 539, 269, 1635, 519, 942, 1362, 8694, 267, 711, 1152, 1705, 5981, 1174, 519, 5690, 267, 855, 1010, 4064, 8141, 1194, 609, 11348, 543, 22920, 780, 6546, 1995, 6026, 803, 3407, 4245, 827, 9639, 267, 17519, 2792, 267, 543, 519, 2956, 540, 1373, 4628, 7722, 538, 1169, 5872, 269, 4595, 1287, 267, 594, 723, 4797, 547, 2259, 11009, 5751, 3232, 267, 543, 789, 723, 17216, 4824, 1250, 2702, 547, 1921, 609, 1250, 1053, 593, 513, 4514, 1377, 269, 5047, 267, 594, 1631, 2972, 26164, 741, 1412, 21036, 256, 262, 8090, 1175, 607, 1454, 607, 6061, 519, 11676, 1731, 781, 10699, 525, 8885, 269, 8342, 5500, 2614, 267, 930, 1053, 1256, 3277, 547, 803, 607, 834, 1492, 13533, 2979, 4116, 2437, 799, 594, 1491, 607, 3833, 513, 5360, 2939, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 29205, 6220, 13533, 5751, 883, 3232, 13467, 1291, 547, 606, 2333, 538, 3929, 4987, 543, 1732, 3375, 6194, 1983, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 2123, 4978, 267, 2705, 267, 1382, 814, 3254, 602, 6220, 13533, 5751, 267, 971, 607, 9066, 543, 7244, 5751, 267, 883, 3232, 13467, 666, 1291, 547, 606, 2333, 538, 3929, 4987, 543, 1732, 3375, 6194, 1983, 269, 24238, 2853, 723, 1044, 1336, 547, 2087, 3929, 7939, 267, 6568, 267, 543, 14375, 2792, 1983, 267, 782, 540, 799, 616, 1271, 3334, 540, 3929, 4987, 269, 3958, 267, 8026, 11009, 666, 2569, 2566, 543, 2333, 1445, 543, 5834, 267, 3850, 2043, 547, 1118, 811, 15826, 543, 2500, 3664, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 17345, 5149, 281, 4197, 7464, 626, 5800, 571, 8132, 998, 519, 5020, 543, 4518, 540, 8277, 325, 918, 3716, 601, 6390, 692, 8893, 476, 272, 281, 5808, 568, 8277, 325, 918, 3716, 601, 6390, 2496, 297, 846, 325, 918, 3716, 601, 6390, 568, 513, 4583, 23031, 945, 729, 4535, 538, 1018, 568, 1631, 519, 16231, 6243, 538, 476, 4350, 279, 269, 1261, 814, 6170, 1034, 540, 1010, 1272, 10707, 689, 1747, 547, 1747, 267, 2921, 5961, 540, 1004, 543, 1919, 602, 1719, 1864, 269, 918, 3716, 601, 6390, 781, 960, 1419, 6212, 593, 1514, 2152, 267, 971, 607, 519, 726, 697, 540, 15076, 543, 18441, 269, 1261, 568, 1634, 585, 13830, 3532, 2592, 602, 2995, 1271, 2984, 827, 938, 1158, 780, 8893, 476, 273, 281, 1548, 568, 7464, 626, 5800, 571, 8132, 2496, 3725, 16117, 568, 513, 1826, 540, 1148, 602, 6663, 547, 1397, 1919, 4010, 607, 789, 2408, 538, 1483, 1272, 269, 1879, 5159, 1711, 10853, 23609, 267, 789, 2119, 547, 7001, 741, 5396, 262, 2189, 2934, 543, 7215, 538, 1390, 1469, 269, 901, 666, 948, 721, 1205, 513, 1732, 2631, 540, 945, 519, 1268, 568, 543, 1018, 789, 1522, 581, 3206, 610, 4743, 693, 602, 4090, 269, 2368, 824, 4583, 1483, 626, 17855, 1235, 616, 27673, 11709, 717, 26710, 543, 2605, 5866, 918, 1695, 5979, 780, 8893, 476, 274, 281, 634, 7216, 5020, 540, 8277, 325, 918, 3716, 601, 6390, 692, 2026, 513, 1126, 3395, 909, 538, 21340, 16231, 657, 21754, 25474, 267, 918, 3716, 601, 6390, 6068, 547, 2721, 543, 1491, 11147, 269, 1717, 267, 621, 7012, 1405, 2394, 646, 729, 538, 1010, 3735, 1000, 550, 625, 602, 646, 4956, 547, 1831, 513, 3318, 23031, 269, 2311, 1101, 267, 918, 3716, 601, 6390, 5249, 607, 606, 11653, 267, 855, 646, 4166, 7691, 602, 1010, 3020, 6612, 2482, 538, 10213, 2984, 609, 1010, 8254, 780, 1103, 476, 3422, 278, 267, 918, 3716, 601, 6390, 11751, 1010, 1101, 1434, 8254, 543, 3323, 2921, 6337, 540, 519, 1004, 543, 4025, 1472, 1864, 269, 5565, 1296, 2663, 267, 646, 1500, 24657, 950, 646, 9676, 10565, 2592, 540, 8168, 13688, 12902, 883, 26285, 826, 1282, 519, 6739, 12289, 269, 1677, 2149, 5128, 543, 1010, 1920, 267, 918, 3716, 601, 6390, 3370, 891, 6337, 896, 519, 15554, 7716, 834, 303, 10422, 1701, 1765, 6518, 11542, 585, 834, 303, 4048, 826, 7353, 19212, 257, 1765, 810, 602, 1100, 835, 1131, 917, 945, 1185, 3144, 873, 780, 8893, 476, 275, 281, 1401, 850, 543, 654, 663, 1359, 692, 5475, 16089, 1010, 1433, 540, 6337, 689, 519, 8168, 12289, 267, 918, 3716, 601, 6390, 6785, 646, 1223, 2760, 979, 1394, 1753, 1586, 269, 674, 8960, 1427, 9084, 689, 519, 2229, 267, 646, 2451, 16231, 657, 21754, 25474, 543, 8179, 2797, 28357, 538, 4789, 269, 1280, 519, 1985, 1079, 5756, 267, 918, 3716, 601, 6390, 18389, 1229, 2429, 2342, 267, 25643, 519, 2729, 540, 12790, 2950, 899, 21859, 1186, 625, 543, 15076, 780, 8601, 6849, 1082, 2591, 2059, 519, 1259, 267, 1519, 2713, 1510, 15114, 585, 5176, 8938, 1296, 267, 918, 3716, 601, 6390, 4797, 547, 11654, 1010, 6612, 585, 10344, 269, 16828, 267, 646, 12306, 538, 5333, 267, 1141, 646, 6591, 15114, 538, 476, 2735, 278, 543, 5170, 547, 2661, 543, 960, 2221, 780, 8893, 476, 276, 281, 918, 3716, 601, 6390, 781, 22684, 692, 9961, 1010, 1279, 4876, 267, 918, 3716, 601, 6390, 814, 3812, 1896, 11599, 8666, 3126, 602, 723, 5280, 3142, 3007, 547, 10296, 1514, 2152, 269, 769, 1840, 547, 1010, 2038, 960, 8720, 519, 8168, 12289, 540, 26285, 826, 267, 646, 568, 1134, 8153, 585, 1010, 3785, 593, 21859, 10043, 2528, 267, 19774, 7606, 267, 543, 4853, 8916, 269, 4653, 267, 918, 3716, 601, 6390, 3788, 606, 9565, 4137, 538, 519, 1158, 540, 17245, 10344, 267, 11121, 1007, 5481, 540, 21706, 547, 946, 741, 12514, 547, 8774, 1769, 593, 2565, 3584, 780, 12244, 281, 12861, 2659, 13574, 7464, 2065, 5800, 11681, 692, 3086, 602, 649, 4312, 4121, 827, 8277, 325, 918, 3716, 601, 6390, 543, 1483, 626, 2823, 571, 8132, 267, 1577, 781, 2322, 938, 1983, 547, 519, 1449, 256, 4635, 1022, 2326, 596, 723, 2139, 630, 5155, 15078, 267, 12508, 267, 5862, 267, 3092, 13776, 1711, 707, 1378, 10853, 17855, 540, 2576, 2027, 547, 596, 269, 1306, 596, 960, 267, 1589, 827, 875, 596, 666, 7001, 741, 2189, 11132, 2934, 267, 4082, 267, 543, 7209, 538, 707, 5373, 610, 7206, 269, 4495, 8737, 267, 2671, 707, 11247, 609, 519, 1362, 543, 2491, 1946, 596, 8359, 547, 6813, 602, 1880, 1268, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 14188, 596, 865, 1454, 585, 21177, 676, 538, 476, 1708, 273, 543, 782, 519, 1655, 267, 782, 519, 8788, 267, 543, 782, 519, 2648, 585, 476, 1708, 274, 2336, 298, 3716, 601, 6390, 779, 1272, 814, 1044, 835, 540, 29287, 1964, 16531, 267, 7683, 21409, 543, 2760, 23928, 269, 11109, 13603, 909, 10344, 538, 476, 3422, 278, 267, 918, 3716, 601, 6390, 13227, 1117, 519, 8168, 12289, 540, 26285, 826, 267, 13629, 1010, 11147, 896, 519, 3355, 338, 623, 269, 623, 269, 630, 303, 4048, 826, 7353, 19212, 264, 585, 4250, 540, 1065, 5142, 531, 547, 1864, 543, 1010, 1920, 269, 769, 476, 3422, 280, 267, 646, 729, 26687, 3585, 13752, 519, 744, 2091, 553, 4964, 11833, 779, 7917, 7167, 320, 7108, 29274, 585, 1346, 11147, 269, 918, 3716, 601, 6390, 2451, 16231, 657, 21754, 25474, 585, 2797, 28357, 538, 476, 3192, 271, 543, 16172, 27502, 8678, 13804, 636, 16071, 269, 3571, 3586, 1533, 540, 24815, 3459, 267, 543, 646, 729, 2493, 6804, 2394, 1373, 2067, 1242, 538, 5333, 267, 8391, 513, 3943, 1780, 1636, 538, 476, 2735, 278, 269, 630, 32173, 958, 3842, 994, 3891, 13227, 1117, 519, 14934, 10043, 2551, 267, 12102, 2516, 267, 543, 3388, 602, 568, 30758, 547, 1831, 17255, 267, 547, 581, 2048, 1410, 6150, 685, 538, 930, 1259, 1107, 621, 2968, 513, 15400, 3460, 540, 26278, 12319, 602, 1869, 5170, 547, 713, 1554, 269, 630, 2993, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 3778, 1315, 3864, 1315, 4937, 1315, 7464, 626, 5800, 571, 8132, 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, 769, 519, 14297, 2749, 540, 29258, 267, 1079, 2828, 3957, 6931, 543, 1284, 328, 5249 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20604, 267, 610, 1022, 824, 1239, 2275, 2194, 675, 3926, 607, 789, 2461, 3773, 563, 8794, 10995, 1344, 1374, 267, 621, 2636, 596, 547, 1569, 1344, 547, 1205, 29829, 4030, 593, 875, 1655, 547, 957, 2390, 1022, 3510, 269, 2060, 7537, 5425, 685, 3573, 24194, 540, 11938, 3435, 267, 596, 666, 4383, 891, 3527, 8850, 563, 2690, 1383, 267, 7537, 5425, 18307, 564, 4643, 1676, 6087, 7006, 10248, 543, 1483, 6066, 6283, 11938, 269, 20305, 723, 4810, 20214, 538, 13304, 720, 267, 2910, 273, 5434, 267, 543, 6117, 942, 676, 909, 547, 476, 736, 260, 543, 4058, 942, 267, 676, 909, 547, 476, 4037, 10065, 7537, 5425, 27953, 4643, 1676, 20362, 3665, 1239, 12531, 585, 1164, 29213, 4058, 543, 1082, 3653, 10391, 4058, 4170, 269, 898, 2488, 909, 547, 476, 1789, 260, 20214, 538, 5195, 9141, 543, 2910, 273, 5434, 1107, 713, 267, 538, 851, 267, 568, 1018, 11225, 519, 5100, 2749, 563, 763, 10512, 9806, 602, 782, 540, 713, 2488, 568, 1713, 269, 9122, 593, 9786, 10897, 675, 267, 713, 568, 606, 13055, 17263, 6531, 1107, 3710, 585, 3677, 3906, 1107, 609, 519, 4527, 540, 606, 3573, 16286, 4494, 585, 17103, 267, 865, 602, 621, 26779, 883, 610, 5196, 4540, 610, 1007, 5100, 2749, 1102, 2858, 23461, 563, 763, 1249, 602, 621, 779, 606, 13055, 17263, 6531, 18922, 547, 3532, 2773, 543, 10220, 3710, 883, 519, 6189, 269, 5221, 621, 13333, 593, 519, 6531, 267, 621, 3340, 2539, 909, 12506, 3790, 982, 513, 2757, 3301, 3070, 269, 901, 568, 1317, 596, 2461, 1152, 9878, 585, 519, 19961, 596, 946, 543, 5989, 2200, 269, 7439, 798, 596, 723, 547, 4163, 856, 1022, 5826, 610, 18175, 10232, 269, 7537, 5425, 3217, 1416, 540, 621, 8850, 563, 17829, 616, 930, 540, 519, 2640, 547, 3755, 267, 540, 1576, 269, 7537, 5425, 25957, 16877, 3906, 609, 606, 10995, 3760, 602, 25221, 543, 3527, 269, 1809, 519, 1034, 1271, 3815, 568, 602, 621, 7028, 519, 5100, 2749, 269, 901, 568, 513, 4264, 3070, 602, 6038, 10597, 519, 2298, 540, 1272, 585, 4961, 563, 4415, 1483, 6066, 1344, 267, 596, 666, 2232, 2152, 602, 1860, 873, 269, 1133, 928, 10354, 543, 28537, 10070, 616, 17515, 269, 2910, 273, 5434, 616, 22485, 269, 23225, 518, 18114, 593, 519, 4155, 267, 1447, 6846, 5533, 267, 543, 6808, 1107, 713, 568, 1434, 585, 782, 540, 721, 563, 18704, 713, 593, 281, 293, 864, 1504, 12108, 21912, 1103, 454, 5649, 344, 547, 1294, 1018, 7537, 5425, 666, 798, 585, 707, 18513, 3653, 543, 9657, 1870, 888, 9596, 875, 7537, 5425, 25957, 786, 2569, 707, 3790, 543, 2333, 707, 10512, 4398, 10611, 3225, 652, 513, 1629, 334, 454, 4456, 5425, 25957, 910, 27391, 531, 1299, 27822, 7935, 577, 675, 454, 9596, 811, 827, 7537, 5425, 685, 25957, 27391, 531, 3435, 1519, 8905, 4058, 267, 6174, 2029, 267, 7047, 2359, 267, 543, 6075, 3028, 1489, 563, 28716, 7537, 5425, 693, 654, 17129, 4488, 2177, 538, 11785, 267, 10790, 563, 1708, 274, 17904, 670, 4954, 619, 27169, 454, 28716, 7537, 5425, 693, 519, 17904, 670, 4954, 619, 27169, 538, 21388, 267, 7147, 563, 303, 5357, 299, 7473, 4488, 476, 1708, 274, 910, 25876, 343, 17763, 10370, 517, 267, 5333, 454, 28716, 7537, 5425, 538, 538, 10689, 476, 273, 1796, 674, 6021, 274, 454, 5649, 344, 547, 1376, 707, 3059, 3460, 888, 26835, 909, 547, 4266, 676, 19142, 909, 547, 938, 20394, 1631, 256, 14294, 909, 585, 938, 20394, 0, 1432, 616, 519, 3593, 20452, 1239, 2010, 538, 12813, 14069, 888, 27165, 5937, 18249, 13096, 520, 4286, 595, 20975, 269, 1703, 616, 1079, 6688, 540, 3593, 20452, 3611, 520, 4885, 281, 8629, 2010, 269, 14635, 2010, 563, 1432, 568, 3593, 20452, 1239, 1826, 609, 1383, 888, 2026, 519, 5752, 4654, 1450, 519, 3593, 547, 1711, 741, 1378, 1239, 2010, 2687, 547, 741, 2115, 269, 9747, 267, 519, 1239, 2010, 602, 616, 3989, 676, 519, 3593, 616, 1634, 607, 3593, 20452, 1239, 2010, 269, 1280, 1383, 282, 14249, 267, 1362, 267, 2497, 267, 9769, 267, 2037, 636, 3130, 267, 24072, 267, 3092, 563, 1432, 616, 519, 2010, 540, 3593, 20452, 1239, 2010, 888, 2467, 616, 1079, 6688, 540, 3593, 20452, 3611, 520, 4885, 281, 8629, 2010, 269, 14635, 2010, 563, 1432, 568, 519, 16105, 540, 3593, 20452, 1239, 1826, 888, 1432, 568, 519, 16105, 540, 3593, 20452, 1239, 2010, 286, 19247, 281, 2953, 16105, 568, 29921, 1030, 1401, 12371, 10574, 13911, 8745, 3528, 27165, 269, 29921, 1030, 703, 21850, 282, 630, 1399, 6244, 1030, 4540, 1673, 520, 520, 4286, 1715, 268, 4067, 282, 1916, 1692, 666, 513, 3593, 20452, 2594, 581, 2813, 538, 12813, 14069, 888, 2791, 666, 1711, 3593, 20452, 2594, 2010, 676, 1210, 519, 570, 312, 14154, 4959, 23414, 16704, 3948, 1369, 513, 10189, 610, 676, 1210, 519, 595, 3918, 12442, 570, 312, 14154, 630, 30606, 264, 3948, 269, 29961, 10035, 568, 1031, 547, 4704, 4610, 538, 513, 2594, 269, 1280, 1383, 267, 2594, 563, 1432, 616, 3957, 4737, 1826, 543, 3593, 20452, 2010, 888, 288, 4737, 1826, 568, 513, 1950, 1826, 602, 10905, 835, 610, 811, 1644, 1239, 4610, 269, 634, 1079, 5686, 540, 4737, 2010, 616, 607, 5205, 281, 715, 3139, 4737, 2010, 269, 589, 3957, 4737, 1826, 666, 5581, 7515, 267, 9587, 267, 4610, 540, 1776, 4737, 15178, 6241, 267, 1982, 4632, 267, 3948, 2199, 4632, 267, 543, 6296, 2132, 2418, 563, 3963, 946, 3593, 3989, 1239, 2010, 888, 763, 1152, 1483, 5413, 547, 1210, 3593, 20452, 1239, 2010, 568, 602, 789, 1039, 519, 2702, 547, 1582, 1673, 17805, 707, 1239, 3889, 269, 1280, 1383, 267, 538, 1896, 1114, 7515, 596, 1522, 723, 9587, 3989, 607, 642, 1105, 541, 263, 1789, 1070, 543, 1346, 9587, 1522, 723, 4986, 547, 798, 609, 1142, 824, 563, 3963, 1362, 568, 1572, 3593, 3989, 1239, 1826, 888, 12585, 269, 4595, 513, 1362, 568, 2813, 676, 519, 3593, 267, 621, 568, 849, 1634, 607, 3593, 3989, 1239, 1826, 563, 3963, 649, 946, 3593, 3989, 1239, 1826, 888, 19119, 540, 14871, 5937, 18249, 4578, 9537, 14871, 5937, 18249, 1239, 2010, 4558, 1239, 2609, 540, 2901, 519, 1482, 2010, 610, 1114, 2010, 269, 901, 3947, 811, 8112, 585, 519, 27732, 547, 4558, 1114, 1239, 2010, 538, 513, 2582, 4756, 607, 829, 741, 2115, 543, 4170, 563, 3963, 1362, 568, 3593, 3989, 1239, 1826, 888, 20118, 267, 513, 3593, 949, 1711, 513, 1239, 1826, 543, 17551, 1978, 4162, 543, 7180, 1369, 621, 269, 901, 666, 581, 2944, 676, 1210, 513, 1362, 269, 901, 568, 519, 2601, 1946, 513, 1362, 568, 5219, 607, 3593, 3989, 1239, 1826, 563, 7617, 568, 711, 513, 3593, 3989, 1239, 1826, 888, 314, 290, 4940, 1496, 291, 4940, 1924, 267, 5693, 1279, 703, 561, 815, 476, 273, 269, 3374, 282, 568, 711, 14871, 20452, 1239, 1826, 269, 630, 328, 4318, 7456, 784, 703, 561, 815, 476, 273, 269, 3374, 282, 568, 519, 2626, 8094, 1432, 568, 513, 3593, 20452, 2594, 888, 2026, 519, 2012, 5267, 267, 3593, 5581, 5638, 616, 519, 2594, 4632, 4171, 2497, 568, 3989, 676, 519, 3593, 267, 799, 568, 7429, 519, 3349, 1759, 610, 23684, 1759, 5638, 4171, 3889, 616, 6508, 689, 741, 9757, 7515, 610, 23684, 563, 1432, 616, 3593, 3989, 1016, 18196, 538, 12813, 13478, 10258, 888, 12195, 13478, 10258, 14871, 5937, 18249, 4427, 18196, 269, 589, 1016, 6943, 568, 513, 15410, 540, 1776, 1239, 1826, 267, 799, 568, 1572, 922, 3490, 1826, 269, 589, 1016, 6943, 814, 519, 1482, 4570, 4238, 607, 922, 3490, 1826, 267, 855, 1152, 513, 15410, 540, 922, 4570, 2418, 563, 1432, 1239, 2010, 616, 2139, 538, 12813, 13478, 10258, 888, 12195, 13478, 10258, 3091, 513, 2647, 5044, 540, 840, 20452, 1239, 2010, 267, 1312, 538, 519, 1893, 5065, 569, 630, 7945, 607, 966, 24086, 2752, 273, 267, 623, 11862, 318, 19860, 9680, 2207, 267, 21398, 302, 4041, 3198, 267, 3092, 4700, 543, 538, 513, 3099, 540, 13859, 15004, 630, 328, 4318, 269, 519, 715, 9331, 21612, 318, 307, 21764, 4015, 1826, 538, 519, 24766, 5960, 318, 21415, 10189, 1916, 1432, 568, 519, 3611, 520, 4286, 585, 942, 538, 12813, 14069, 888, 12195, 13478, 10258, 13096, 8135, 543, 3955, 1998, 9537, 269, 634, 667, 12442, 3611, 520, 4286, 568, 1031, 547, 4558, 6378, 27480, 3611, 564, 1307, 267, 799, 1331, 519, 942, 540, 1554, 538, 7643, 2094, 28813, 269, 4406, 573, 7389, 2039, 689, 5130, 476, 272, 267, 476, 5325, 272, 273, 7460, 547, 5412, 476, 4029, 267, 476, 15886, 280, 5084, 563, 9989, 26057, 14069, 1489, 3593, 20452, 3611, 520, 4885, 888, 302, 20432, 14069, 1239, 4214, 1893, 2488, 519, 1739, 1489, 585, 3593, 20452, 3611, 520, 4885, 281, 20223, 1843, 2010, 267, 29005, 7515, 267, 543, 14249, 10410, 4328, 22864, 10410, 4328, 3349, 9587, 540, 3593, 20452, 2010, 0, 273, 269, 20134, 12927, 906, 1107, 713, 849, 2306, 1453, 10956, 7180, 855, 538, 1114, 2081, 552, 3052, 12727, 1403, 513, 1126, 1281, 1134, 538, 606, 981, 4061, 789, 1810, 1406, 723, 547, 798, 741, 26050, 563, 303, 684, 7321, 568, 513, 1106, 540, 1065, 3234, 663, 602, 568, 5921, 547, 16401, 610, 6175, 513, 2623, 676, 4946, 513, 12343, 610, 9427, 519, 17003, 563, 763, 6071, 2446, 540, 519, 2262, 10751, 607, 538, 519, 5169, 540, 519, 2262, 1118, 1034, 1004, 1589, 540, 4929, 1928, 950, 538, 1249, 2942, 10751, 568, 1360, 1114, 689, 6144, 531, 10751, 269, 11283, 531, 10751, 568, 519, 946, 540, 2168, 3196, 609, 519, 9837, 540, 4929, 513, 1126, 547, 1995, 1928, 855, 711, 5945, 585, 519, 5301, 540, 15494, 610, 1852, 540, 519, 1126, 781, 2623, 630, 294, 619, 327, 4752, 267, 476, 1220, 273, 1040, 10263, 1689, 2994, 1759, 593, 2942, 10751, 4125, 2921, 2476, 513, 14909, 17003, 1310, 513, 2623, 4386, 563, 1103, 3184, 3670, 538, 519, 4937, 10017, 1576, 267, 649, 4121, 827, 968, 13981, 6100, 1284, 4121, 519, 2010, 540, 2175, 602, 948, 1004, 1451, 269, 2290, 540, 519, 2175, 568, 968, 23330, 656, 16448, 532, 892, 1141, 1565, 568, 6417, 676, 519, 11248, 779, 2623, 269, 4438, 519, 11000, 835, 3364, 602, 11542, 856, 547, 803, 729, 602, 538, 519, 1766, 656, 2783, 267, 972, 568, 513, 2165, 1572, 2318, 10751, 799, 568, 1031, 547, 6175, 3983, 2623, 269, 898, 568, 1031, 2356, 676, 3237, 547, 9015, 741, 1453, 950, 789, 3765, 2041, 17647, 538, 1931, 547, 2736, 602, 3983, 4356, 563, 303, 684, 7321, 568, 513, 1184, 602, 11081, 519, 10171, 540, 513, 2623, 547, 2049, 1586, 269, 901, 568, 711, 547, 581, 11821, 609, 2942, 15699, 1317, 621, 3085, 1405, 2333, 519, 10171, 540, 606, 12136, 269, 1703, 616, 19363, 547, 10751, 269, 898, 3085, 1405, 4001, 606, 3617, 2623, 547, 5372, 606, 20025, 835, 269, 4746, 267, 7920, 10751, 666, 1291, 547, 2164, 971, 607, 1780, 2032, 267, 4250, 267, 4160, 267, 610, 29383, 269, 7053, 267, 2360, 540, 10751, 616, 3006, 10151, 563, 3725, 514, 7593, 568, 1031, 676, 3237, 267, 15637, 267, 543, 4079, 547, 1397, 1453, 519, 5551, 2623, 269, 15474, 22365, 7593, 30417, 1210, 10751, 267, 586, 2454, 267, 12159, 630, 289, 20477, 1299, 27392, 267, 476, 1220, 280, 1040, 22365, 7593, 814, 1044, 1472, 585, 1296, 543, 814, 1044, 1031, 1472, 519, 1158, 676, 5481, 540, 3237, 269, 898, 568, 513, 5432, 2165, 538, 2413, 2486, 269, 1703, 616, 1082, 1806, 540, 1382, 602, 1489, 519, 2318, 1198, 15699, 814, 593, 1453, 563, 11997, 267, 972, 568, 513, 10421, 547, 4228, 519, 4901, 827, 2705, 15699, 5540, 7180, 269, 22365, 7593, 568, 2938, 607, 281, 968, 534, 2680, 267, 513, 25896, 267, 610, 513, 2783, 602, 4679, 519, 4960, 602, 513, 2016, 3210, 666, 9888, 538, 513, 9183, 899, 602, 1369, 799, 519, 17923, 2783, 8385, 7018, 892, 630, 14011, 295, 13270, 290, 267, 476, 1220, 278, 1040, 11531, 267, 10897, 12541, 543, 4591, 345, 630, 3422, 277, 267, 11855, 538, 4787, 756, 320, 543, 9324, 334, 267, 476, 1960, 272, 264, 3989, 15163, 3976, 912, 2026, 789, 2161, 267, 834, 604, 596, 666, 1405, 798, 519, 942, 267, 1810, 1405, 798, 519, 6760, 2580, 538, 824, 1913, 267, 10751, 568, 513, 17777, 322, 15664, 540, 707, 10363, 3527, 269, 15722, 7321, 267, 1498, 267, 1058, 581, 513, 6760, 538, 3294, 267, 2944, 1510, 1022, 4316, 540, 25863, 267, 3056, 2486, 2509, 20947, 267, 543, 609, 25619, 16324, 1062, 563, 17829, 2994, 616, 865, 2147, 602, 1312, 540, 873, 666, 581, 3989, 607, 968, 604, 596, 798, 713, 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 ]
[ 1031, 547, 3313, 519, 2085, 540, 2686, 6561, 3688, 676, 6313, 519, 9178, 540, 519, 14599, 24236, 3327, 268, 1691, 547, 7866, 875, 2025, 818, 974, 30440, 616, 610, 519, 1931, 538, 799, 1978, 2621, 5949, 563, 2304, 3606, 14222, 12588, 540, 5787, 1807, 2861, 10763, 2553, 568, 547, 3313, 519, 5888, 267, 2497, 267, 2085, 540, 2686, 818, 974, 30440, 267, 799, 538, 2490, 666, 581, 1031, 547, 2697, 741, 5169, 267, 9467, 11507, 543, 7866, 585, 21605, 563, 16920, 754, 4315, 849, 6591, 5813, 883, 519, 3498, 540, 6046, 10763, 2553, 538, 824, 2127, 267, 971, 607, 519, 10250, 1464, 543, 13597, 540, 1426, 269, 769, 713, 2361, 267, 519, 946, 540, 7123, 24236, 2079, 666, 1683, 2963, 540, 1426, 13277, 614, 566, 610, 18839, 267, 543, 13182, 519, 10923, 5169, 540, 1426, 2472, 563, 11592, 532, 856, 519, 1271, 1909, 540, 6046, 2553, 538, 12570, 519, 13597, 540, 1426, 267, 3226, 1346, 609, 1164, 17032, 2978, 2454, 6811, 267, 700, 573, 6359, 320, 853, 549, 329, 23364, 267, 11001, 693, 519, 8277, 325, 853, 1030, 534, 4659, 538, 6215, 8576, 807, 267, 1767, 281, 968, 15933, 12611, 568, 513, 2462, 2518, 3390, 2094, 621, 5540, 476, 1015, 829, 1298, 540, 519, 2518, 1426, 3761, 543, 3790, 519, 2518, 2872, 1063, 20430, 1789, 547, 476, 2412, 5479, 1169, 1032, 269, 634, 946, 540, 7123, 24745, 10741, 909, 1007, 7399, 547, 3713, 1426, 12611, 538, 519, 3761, 5832, 267, 971, 607, 3765, 18350, 2454, 540, 519, 2197, 540, 5169, 540, 1426, 7031, 543, 13277, 614, 566, 540, 2067, 7657, 2293, 609, 14949, 10991, 13413, 1848, 769, 6215, 8576, 807, 267, 30081, 1854, 742, 525, 267, 519, 10600, 685, 1034, 7199, 1426, 267, 941, 4857, 998, 606, 24236, 2079, 563, 763, 11684, 3156, 540, 6046, 10763, 2553, 941, 15091, 676, 782, 10283, 4966, 267, 945, 5941, 519, 4560, 540, 741, 10626, 267, 799, 1256, 11498, 547, 4831, 532, 543, 5464, 2825, 2152, 269, 19893, 849, 4121, 602, 13666, 8084, 2553, 666, 581, 1031, 547, 4831, 17717, 676, 16439, 519, 5169, 540, 16025, 543, 13031, 10363, 19883, 267, 543, 547, 10625, 543, 3589, 519, 2707, 540, 8511, 9362, 538, 519, 5790, 269, 0, 1607, 8400, 786, 1459, 606, 7650, 540, 519, 6820, 744, 2207, 23958, 8416, 1382, 2409, 25156, 269, 634, 25156, 568, 1373, 2919, 676, 2818, 540, 519, 3060, 945, 616, 3173, 538, 1930, 2069, 267, 543, 786, 4196, 607, 513, 3730, 4358, 1448, 585, 4896, 530, 5109, 547, 798, 1382, 538, 2069, 609, 513, 1445, 593, 744, 2207, 267, 17834, 31237, 610, 744, 7968, 563, 2414, 13865, 1047, 713, 1935, 267, 606, 3015, 543, 5618, 6609, 540, 519, 2010, 540, 2409, 3335, 1031, 538, 1382, 883, 2069, 543, 3872, 2029, 786, 581, 3177, 269, 2368, 540, 519, 17804, 10952, 267, 26381, 1670, 543, 23835, 1670, 19647, 540, 1114, 1382, 26336, 786, 581, 1031, 547, 16174, 4244, 16097, 269, 11933, 3749, 5380, 786, 581, 13890, 855, 711, 4628, 8268, 563, 13750, 6361, 7308, 19603, 4485, 786, 581, 8268, 543, 741, 10083, 585, 1930, 2069, 6045, 269, 634, 6881, 786, 946, 1806, 540, 1699, 25719, 1382, 547, 5031, 519, 946, 540, 1114, 2409, 267, 543, 786, 6655, 4030, 883, 1210, 1114, 2409, 607, 3838, 676, 519, 3173, 269, 901, 2882, 18759, 593, 1210, 1114, 2409, 267, 543, 5796, 585, 10647, 2147, 960, 563, 7661, 267, 519, 6881, 786, 2709, 909, 585, 4901, 513, 1008, 29850, 2203, 540, 1930, 14172, 1519, 1930, 2853, 630, 698, 850, 1788, 2359, 282, 2047, 12018, 2259, 282, 9097, 11413, 282, 4687, 1382, 7405, 282, 1514, 2923, 4527, 282, 5121, 5148, 1930, 2257, 630, 13449, 1569, 282, 1930, 1239, 282, 1930, 24416, 5148, 3059, 5647, 630, 295, 5746, 282, 1239, 2257, 282, 1930, 2707, 4066, 5148, 543, 29708, 2609, 630, 577, 718, 27701, 8789, 6386, 282, 5009, 1514, 5126, 282, 543, 4227, 7496, 547, 3872, 1569, 1040, 0, 306, 11548, 2201, 687, 1107, 9931, 320, 9931, 320, 543, 966, 10537, 807, 616, 519, 1034, 1455, 5686, 540, 6653, 19637, 269, 1452, 19637, 3668, 519, 8325, 267, 513, 11415, 550, 6492, 540, 824, 19637, 543, 2731, 798, 6492, 6653, 269, 2560, 4414, 19637, 616, 1034, 1419, 1031, 538, 25235, 267, 521, 1023, 553, 267, 543, 824, 6151, 21339, 585, 741, 2681, 543, 5266, 7646, 8137, 12282, 684, 476, 275, 267, 476, 1001, 280, 454, 1692, 666, 596, 2995, 952, 606, 22323, 568, 513, 6653, 22323, 888, 7230, 913, 519, 22323, 2960, 543, 1413, 693, 519, 2681, 540, 519, 10448, 269, 589, 6653, 22323, 568, 3043, 610, 1360, 1769, 4154, 538, 2681, 267, 1247, 513, 3905, 22323, 568, 513, 4158, 5835, 563, 1692, 798, 596, 2995, 519, 3017, 1063, 513, 5835, 22323, 543, 513, 6653, 22323, 888, 299, 24147, 543, 5594, 1166, 2660, 982, 5835, 19637, 267, 609, 14402, 11954, 267, 1447, 32630, 2960, 267, 6653, 19637, 2270, 3063, 4006, 267, 1818, 873, 1434, 585, 1286, 14712, 1944, 269, 4256, 3677, 2450, 543, 4418, 2678, 8137, 1118, 873, 4998, 585, 1818, 22323, 14034, 563, 4692, 594, 12990, 5835, 22323, 585, 6653, 22323, 888, 4692, 596, 12990, 513, 6653, 22323, 267, 971, 607, 513, 966, 10537, 807, 267, 585, 513, 2834, 5835, 22323, 538, 513, 11600, 286, 1411, 666, 267, 855, 596, 3580, 4440, 991, 547, 3434, 519, 19637, 5594, 3476, 1317, 6653, 8677, 630, 7945, 607, 966, 10537, 5362, 267, 9931, 320, 9931, 553, 267, 543, 7147, 11354, 21690, 264, 723, 513, 6923, 2362, 1216, 1543, 563, 3674, 513, 6960, 22323, 513, 6653, 22323, 888, 16446, 19637, 723, 513, 1454, 2362, 4006, 1543, 543, 616, 4061, 4418, 2678, 982, 6960, 19637, 269, 4107, 1419, 1031, 6151, 538, 25235, 543, 521, 1023, 553, 585, 741, 7990, 543, 7646, 30993, 269, 2560, 31204, 1210, 2699, 19637, 281, 21690, 543, 590, 712, 623, 1251, 563, 306, 11548, 2201, 687, 1107, 9931, 320, 9931, 320, 543, 966, 10537, 807, 616, 519, 1034, 1455, 5686, 540, 6653, 19637, 269, 1452, 19637, 3668, 519, 8325, 267, 513, 11415, 550, 6492, 540, 824, 19637, 543, 2731, 798, 6492, 6653, 563, 6701, 966, 10537, 807, 19637, 519, 1482, 607, 6653, 19637, 888, 288, 966, 10537, 807, 22323, 568, 513, 1826, 540, 6653, 22323, 269, 898, 814, 513, 7646, 8137, 267, 513, 19918, 6366, 3337, 267, 543, 513, 5266, 1164, 4006, 1543, 269, 634, 3037, 538, 966, 10537, 807, 267, 11908, 814, 606, 29099, 1970, 2179, 540, 16247, 2443, 602, 779, 1946, 713, 3099, 568, 811, 6653, 982, 8325, 563, 6701, 966, 10537, 807, 19637, 6653, 888, 763, 966, 10537, 5362, 616, 3957, 1310, 519, 4884, 789, 616, 6738, 538, 267, 966, 10537, 807, 267, 11908, 269, 634, 6653, 8137, 568, 1813, 547, 519, 1970, 2179, 540, 16247, 538, 519, 3037, 538, 799, 519, 19637, 616, 6738, 563, 7617, 19637, 616, 4418, 2678, 5835, 610, 3043, 888, 312, 3641, 19637, 616, 513, 5100, 3903, 585, 1286, 14712, 1944, 267, 799, 14405, 856, 741, 2067, 29284, 269, 6519, 2201, 687, 269, 1452, 19637, 616, 5594, 4418, 2678, 267, 513, 3787, 7646, 518, 538, 6492, 982, 5835, 19637, 269, 1358, 2461, 513, 1434, 3903, 585, 546, 6005, 543, 7674, 6151, 593, 32409, 543, 25235, 610, 538, 4195, 521, 1023, 553, 563, 1432, 666, 594, 946, 538, 1747, 540, 513, 6653, 22323, 888, 279, 21690, 2201, 542, 15240, 13699, 454, 289, 1069, 19085, 2201, 542, 269, 1403, 596, 2461, 711, 513, 2462, 10178, 540, 6653, 19637, 267, 2119, 2655, 23082, 645, 1069, 19085, 22323, 585, 873, 269, 6693, 300, 879, 328, 2201, 542, 269, 1284, 4076, 1044, 5986, 609, 31410, 328, 19637, 25015, 543, 789, 616, 8949, 256, 6693, 19669, 2201, 542, 269, 594, 4076, 2141, 1044, 513, 10178, 540, 6653, 22323, 269, 6693, 16446, 2201, 542, 269, 6693, 28049, 14117, 2201, 542, 269, 6693, 309, 10537, 807, 2201, 542, 269, 6693, 310, 718, 320, 9931, 320, 2201, 542, 269, 6693, 4692, 594, 946, 513, 2699, 22323, 538, 1747, 540, 513, 6653, 22323, 888, 7712, 519, 2699, 22323, 568, 519, 1034, 2139, 267, 621, 779, 519, 2067, 12990, 585, 10346, 799, 1289, 585, 606, 22323, 269, 1809, 1247, 2655, 23082, 5820, 3884, 1406, 2141, 1655, 267, 621, 779, 15502, 547, 946, 513, 2699, 22323, 538, 513, 11600, 602, 3081, 547, 946, 519, 5835, 610, 3043, 22323, 610, 3085, 1406, 1533, 799, 1826, 540, 22323, 547, 946, 563, 1432, 22323, 568, 14191, 547, 966, 10537, 807, 888, 763, 1655, 12990, 585, 966, 10537, 807, 19637, 1131, 581, 3043, 19637, 1813, 547, 519, 16726, 538, 9403, 267, 8137, 267, 543, 24710, 547, 602, 540, 966, 10537, 807, 19637, 269, 4033, 22323, 31431, 602, 960, 1134, 616, 3774, 320, 3774, 320, 543, 4927, 1824, 267, 1312, 2348, 13581, 6653, 10366, 563, 6701, 5835, 19637, 6653, 888, 312, 3641, 19637, 616, 1031, 519, 1034, 607, 513, 2489, 22323, 2094, 789, 5749, 1406, 607, 2178, 607, 3043, 19637, 269, 1358, 1869, 723, 513, 8325, 267, 513, 11415, 550, 8137, 267, 855, 789, 849, 723, 513, 3787, 540, 29284, 799, 3884, 1406, 2706, 2178, 865, 789, 666, 581, 1031, 538, 1360, 29902, 10346, 563, 1432, 616, 1507, 6653, 19637, 1572, 888, 303, 792, 331, 2201, 687, 23421, 2201, 687, 18567, 281, 1452, 1360, 1507, 19637, 616, 12595, 585, 741, 6653, 267, 10347, 8137, 543, 616, 2356, 6039, 607, 606, 9311, 2939, 269, 12914, 476, 866, 267, 476, 1001, 279, 454, 1432, 1281, 513, 966, 10537, 807, 22323, 1413, 899, 888, 309, 10537, 5362, 1413, 899, 5835, 19637, 267, 1152, 593, 519, 3677, 2427, 267, 543, 535, 2660, 543, 2695, 3430, 1512, 269, 6884, 596, 786, 1294, 873, 13042, 795, 636, 2692, 966, 10537, 807, 19637, 267, 543, 1346, 616, 19637, 602, 616, 693, 2547, 476, 274, 2987, 2583, 538, 8006, 267, 547, 16174, 873, 689, 741, 4130, 966, 10537, 807, 30980, 563, 8170, 519, 1114, 11954, 19637, 267, 519, 2699, 22323, 568, 519, 1034, 7646, 267, 6653, 22323, 269, 4414, 19637, 723, 519, 1625, 680, 880, 268, 1042, 2960, 799, 2681, 568, 30305, 1498, 621, 779, 3043, 17145, 269, 594, 13948, 1810, 1406, 899, 547, 3434, 12699, 8286, 609, 2699, 22323, 1317, 621, 3085, 1406, 3132, 2614, 22323, 8137, 547, 3986, 1250, 7594, 563, 1432, 568, 519, 1034, 29316, 22323, 888, 344, 3641, 19637, 4414, 2201, 687, 26588, 704, 543, 838, 545, 1512, 982, 5835, 19637, 267, 596, 3580, 1419, 1294, 873, 6151, 267, 2436, 538, 25235, 267, 899, 5259, 19997, 610, 737, 778, 3784, 267, 610, 7258, 1279, 2275, 8504, 2909, 2478, 8160, 599, 476, 1704, 267, 476, 1708, 272, 454, 7617, 22323, 568, 1655, 585, 5986, 888, 312, 3641, 19637, 616, 707, 979, 3562, 5986, 19637, 269, 901, 22323, 814, 5835, 2960, 543, 513, 2178, 8137, 1813, 547, 922, 1164, 20962, 584, 1543, 267, 799, 20649, 3298, 856, 1282, 5986, 267, 4742, 6653, 543, 29316, 269, 4706, 2702, 547, 3180, 909, 547, 3002, 2306, 621, 1390, 585, 1286, 14712, 1944, 543, 887, 8463, 563, 7617, 19637, 616, 519, 7646, 652, 888, 17780, 593, 6671, 7326, 267, 3043, 19637, 616, 7646, 518, 543, 5743, 704, 982, 5835, 267, 799, 568, 1946, 596, 1522, 1616, 547, 946, 873, 6094, 569, 30000, 538, 513, 19997, 267, 22872, 538, 533, 4815, 632, 7086, 334, 610, 538, 824, 6151, 21339, 269, 634, 7887, 2721, 3724, 540, 3043, 19637, 568, 711, 741, 8137, 267, 855, 2864, 602, 789, 1810, 1406, 2063, 607, 1279, 538, 4859, 563, 1432, 568, 513, 31410, 328, 22323, 888, 300, 879, 328, 19637, 616, 6653, 267, 30861, 543, 12600, 547, 519, 19527, 540, 6778, 670, 1446, 752, 8403, 269, 2560, 31410, 328, 19637, 616, 3982, 1947, 6653, 267, 15877, 519, 16247, 602, 3947, 1034, 824, 19637, 741, 8325, 6492, 543, 15237, 26148, 17627, 269, 634, 19637, 849, 723, 513, 1164, 1216, 1543, 4611, 538, 513, 32154, 5104, 545, 1465, 563, 1692, 798, 596, 1118, 19637, 4418, 2678, 888, 2791, 666, 1205, 7759, 540, 519, 2178, 6492, 676, 865, 1136, 30000, 19637, 538, 4672, 1216, 585, 476, 736, 547, 476, 1789, 3764, 610, 676, 20057, 1782, 873, 609, 606, 3679, 971, 607, 16693, 269, 2201, 687, 865, 8898, 538, 4672, 1216, 786, 1205, 1360, 26546, 1247, 1346, 20057, 1194, 609, 16693, 786, 21352, 513, 3787, 267, 855, 789, 786, 6336, 519, 2178, 6492, 543, 1831, 4418, 2678, 563, 1692, 666, 596, 2995, 513, 966, 10537, 807, 22323, 888, 1432, 24439, 513, 966, 10537, 807, 4002, 542, 888, 4537, 1901, 269, 13201, 513, 19918, 6366, 3337, 563, 24868, 1214, 269, 717, 3497, 689, 513, 5835, 11491, 1410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 560, 330, 264, 3436, 476, 271, 543, 10862, 314, 560, 330, 15631, 272, 14963, 13843, 10862, 314, 10339, 316, 543, 588, 330, 15631, 272, 316, 11203, 1412, 3488, 912, 3546, 1820, 318, 23719, 318, 3630, 1188, 564, 263, 560, 330, 994, 2018, 588, 330, 6910, 263, 10339, 994, 825, 1247, 7003, 263, 560, 330, 264, 11203, 476, 271, 912, 1038, 1820, 318, 23719, 318, 3630, 1188, 564, 263, 560, 330, 9239, 338, 1828, 4590, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 11205, 4924, 476, 2190, 476, 2641, 281, 5325, 281, 4905, 476, 1708, 272, 692, 287, 10461, 281, 631, 323, 269, 6781, 323, 31608, 454, 20701, 258, 7383, 532, 10788, 578, 454, 5228, 623, 6579, 1104, 12005, 692, 258, 2542, 519, 3239, 454, 19112, 272, 284, 15862, 269, 13449, 3488, 297, 24097, 19445, 268, 15862, 268, 3682, 22422, 315, 3412, 1137, 315, 332, 27970, 5073, 2745, 263, 19112, 272, 25915, 2020, 19112, 273, 284, 15862, 269, 13449, 3488, 297, 24097, 19445, 268, 15862, 268, 3682, 22422, 315, 3412, 1137, 315, 332, 273, 27970, 5073, 2745, 263, 19112, 273, 25915, 2020, 19112, 273, 269, 628, 3518, 333, 841, 9230, 5611, 267, 1220, 4917, 19112, 272, 6831, 4878, 284, 19112, 272, 6983, 4878, 4590, 19112, 272, 6831, 4878, 4877, 4292, 263, 19112, 273, 267, 263, 2004, 267, 2004, 4917, 19112, 272, 6831, 4878, 4732, 1511, 3488, 297, 24097, 19445, 268, 15862, 268, 3682, 22422, 315, 3412, 1137, 315, 335, 16556, 318, 13548, 27970, 10807, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 3933, 4455, 476, 2918, 476, 2641, 281, 6078, 281, 4391, 476, 1708, 272, 692, 287, 10461, 281, 631, 323, 269, 6781, 323, 31608, 454, 12163, 12163, 9928, 2718, 568, 1175, 759, 1944, 540, 519, 3239, 563, 15411, 20302, 2501, 609, 513, 1599, 540, 20956, 273, 269, 637, 1125, 3890, 585, 713, 3483, 563, 763, 2450, 540, 519, 3239, 666, 581, 9138, 16924, 267, 3097, 528, 596, 666, 14574, 519, 18440, 3815, 454, 20701, 692, 5814, 20956, 273, 454, 5814, 21267, 28272, 607, 12301, 692, 19112, 284, 29764, 273, 269, 574, 1348, 3488, 297, 24097, 19445, 268, 15862, 268, 3682, 22422, 315, 3412, 1137, 315, 332, 27970, 5073, 10823, 269, 574, 19651, 263, 19112, 994, 10823, 26644, 2891, 24314, 12005, 5602, 637, 1242, 318, 13548, 284, 29764, 273, 269, 637, 1125, 263, 19112, 267, 263, 4968, 267, 4968, 4917, 10823, 269, 574, 19651, 263, 637, 1242, 318, 13548, 994, 10823, 26644, 3488, 4910, 1242, 12005, 5073, 2745, 2891, 23917, 540, 606, 610, 326, 1400, 3239, 2580, 19112, 17482, 994, 2745, 2891, 23917, 540, 519, 759, 1242, 3239, 2580, 637, 1242, 318, 13548, 17482, 994, 0, 2745, 9497, 15916, 267, 2622, 15419, 2745, 9497, 901, 1899, 786, 581, 9102, 15419, 343, 815, 476, 272, 454, 604, 1535, 2652, 476, 272, 912, 453, 258, 967, 5034, 2185, 884, 806, 454, 13537, 9497, 343, 568, 476, 272, 23528, 0, 258, 10818, 20262, 815, 3568, 341, 578, 601, 454, 258, 935, 1555, 12364, 578, 601, 6230, 692, 3698, 3568, 309, 578, 601, 263, 514, 1598, 2187, 453, 258, 271, 952, 1100, 20262, 267, 476, 272, 952, 6238, 609, 20262, 267, 476, 273, 952, 7475, 609, 20262, 267, 476, 274, 952, 1312, 454, 453, 258, 514, 1598, 568, 513, 1592, 454, 453, 341, 578, 1564, 815, 1412, 2801, 328, 537, 20067, 296, 5495, 7055, 14851, 1128, 337, 314, 271, 316, 538, 24008, 543, 1128, 337, 15631, 272, 316, 538, 24008, 912, 453, 453, 14310, 815, 476, 274, 454, 453, 19197, 1128, 337, 15631, 272, 316, 538, 24008, 912, 453, 453, 14310, 815, 476, 273, 454, 453, 19197, 1128, 337, 314, 271, 316, 538, 24008, 912, 453, 453, 14310, 815, 476, 272, 454, 28432, 912, 453, 453, 14310, 815, 476, 271, 454, 16596, 1267, 454, 0, 12163, 9340, 269, 29358, 3493, 628, 540, 23030, 10326, 454, 292, 6470, 692, 10755, 280, 692, 6795, 277, 692, 11754, 547, 5903, 692, 18704, 454, 11693, 513, 9352, 3529, 267, 1265, 922, 5934, 3178, 780, 763, 5934, 3178, 568, 519, 1297, 540, 9136, 2059, 519, 20125, 2619, 689, 519, 3597, 6843, 1524, 547, 519, 14282, 6978, 6843, 780, 9616, 281, 589, 6978, 568, 513, 6843, 609, 1100, 1453, 780, 7078, 1384, 11693, 9352, 3529, 1496, 274, 267, 280, 267, 736, 19885, 1638, 19885, 1638, 267, 1428, 267, 278, 3910, 692, 825, 476, 274, 454, 567, 1315, 26444, 476, 476, 280, 476, 476, 736, 454, 825, 1315, 476, 26444, 567, 476, 1428, 567, 476, 278, 454, 8873, 922, 5934, 3178, 815, 476, 273, 563, 20701, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 1295, 291, 3704, 4311, 267, 3597, 2187, 1038, 952, 711, 3597, 281, 3097, 2018, 2132, 476, 271, 3097, 1038, 3116, 281, 3097, 2018, 2451, 815, 476, 272, 1341, 1582, 269, 2381, 291, 3704, 20172, 16000, 994, 2018, 1318, 815, 476, 272, 1341, 1582, 269, 2381, 291, 3704, 20172, 16192, 994, 2018, 952, 2451, 2652, 476, 272, 912, 3546, 2132, 1318, 454, 2018, 8640, 1318, 2652, 476, 272, 281, 3097, 3546, 2132, 2451, 454, 2018, 3116, 281, 3097, 3546, 2132, 1295, 263, 3847, 267, 1318, 264, 0, 20701, 6872, 273, 269, 16265, 872, 540, 6271, 10326, 454, 292, 6470, 692, 5908, 273, 692, 9262, 692, 11754, 547, 5903, 692, 18704, 454, 11693, 1079, 1875, 268, 24105, 9352, 4054, 521, 543, 512, 267, 2638, 2436, 3529, 512, 814, 4010, 519, 1482, 2497, 543, 6843, 2418, 609, 513, 5705, 872, 540, 521, 269, 589, 5705, 872, 540, 521, 568, 513, 3529, 5161, 540, 513, 6843, 538, 521, 543, 782, 540, 713, 6843, 781, 18939, 269, 634, 3529, 521, 1223, 849, 581, 2808, 607, 513, 5705, 872, 540, 3294, 780, 7078, 476, 272, 912, 11693, 3529, 521, 1384, 672, 476, 274, 454, 825, 1315, 26444, 567, 476, 275, 567, 476, 276, 454, 476, 1315, 26444, 476, 272, 567, 476, 273, 454, 11693, 3529, 512, 912, 567, 476, 275, 3097, 476, 1315, 26444, 476, 272, 567, 476, 273, 454, 27987, 3020, 267, 1317, 512, 814, 519, 1482, 2497, 543, 6843, 2418, 609, 513, 5705, 872, 540, 521, 563, 7078, 476, 273, 912, 11693, 3529, 521, 1384, 672, 476, 274, 454, 825, 1315, 26444, 567, 476, 275, 567, 476, 276, 454, 476, 1315, 26444, 476, 272, 567, 476, 273, 454, 825, 1315, 454, 567, 476, 271, 454, 11693, 3529, 512, 912, 567, 476, 275, 454, 476, 1315, 26444, 476, 272, 567, 476, 273, 454, 27987, 7301, 780, 20701, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 568, 8138, 29728, 4311, 267, 521, 267, 512, 2187, 825, 1948, 29019, 1294, 952, 4054, 6474, 454, 825, 1948, 604, 711, 267, 16571, 1947, 1289, 12805, 4054, 2483, 825, 1948, 517, 3529, 16000, 1315, 3529, 16192, 543, 590, 454, 1038, 952, 711, 512, 281, 3097, 2018, 2132, 6936, 454, 1038, 952, 711, 521, 281, 3097, 2018, 2132, 8771, 454, 1038, 952, 1582, 6230, 10248, 307, 4181, 4433, 25722, 2187, 2018, 2132, 6936, 454, 1038, 2132, 1582, 18994, 8138, 29728, 4433, 16000, 267, 512, 264, 610, 1582, 18994, 8138, 29728, 4433, 16192, 267, 512, 994, 8931, 825, 1948, 29019, 2638, 952, 512, 10758, 521, 568, 7183, 267, 2132, 8771, 454, 825, 1948, 29019, 2638, 952, 512, 543, 521, 616, 1312, 9039, 267, 2132, 3020, 3097, 825, 1948, 12828, 281, 1058, 2132, 930, 4528, 540, 3267, 3097, 825, 1948, 322, 16226, 621, 593, 519, 2451, 267, 543, 10912, 621, 593, 519, 1318, 454, 825, 1948, 928, 539, 547, 4137, 856, 1018, 519, 2132, 1058, 581, 1759, 593, 3490, 2013, 7024, 454, 825, 1219, 12805, 307, 4181, 4311, 267, 521, 267, 512, 2187, 1038, 952, 711, 521, 543, 711, 512, 281, 3097, 2018, 2132, 6936, 454, 1038, 952, 711, 521, 610, 711, 512, 912, 2018, 2132, 8771, 454, 1038, 952, 521, 22183, 11203, 512, 22183, 912, 2018, 2132, 8771, 454, 1038, 2132, 1582, 6230, 10248, 307, 4181, 4433, 16000, 267, 512, 16000, 264, 1299, 1582, 6230, 10248, 307, 4181, 4433, 16192, 267, 512, 16192, 994, 13872, 13872, 13872, 13872, 13872, 13872, 13872, 258, 1363, 952, 711, 512, 281, 3097, 258, 17264, 2132, 6936, 454, 258, 1363, 952, 711, 521, 281, 3097, 258, 17264, 2132, 8771, 454, 258, 1363, 952, 1582, 18994, 21579, 564, 872, 4433, 25722, 2567, 3097, 258, 17264, 2132, 6936, 454, 258, 1363, 2132, 1582, 18994, 8138, 29728, 4433, 16000, 267, 512, 264, 610, 1582, 18994, 8138, 29728, 4433, 16192, 267, 512, 994, 8931, 258, 672, 1219, 568, 21579, 564, 872, 4311, 267, 521, 267, 512, 2187, 258, 1363, 952, 711, 521, 543, 711, 512, 912, 258, 17264, 2132, 6936, 454, 258, 1363, 952, 711, 521, 610, 711, 512, 912, 258, 17264, 2132, 8771, 454, 258, 1363, 952, 521, 22183, 256, 284, 339, 22183, 912, 258, 17264, 2132, 8771, 454, 258, 1363, 2132, 1582, 18994, 21579, 564, 872, 4433, 16000, 25722, 16000, 264, 1299, 1582, 18994, 21579, 564, 872, 4433, 16192, 25722, 16192, 264, 672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28480, 2053, 282, 543, 513, 2347, 6609, 540, 2030, 267, 8768, 267, 543, 4829, 269, 3487, 21871, 4277, 568, 519, 1344, 593, 519, 1082, 2081, 538, 799, 7111, 4892, 543, 2038, 23806, 1031, 891, 2371, 585, 3388, 689, 1928, 8323, 547, 24470, 547, 4552, 1962, 16640, 269, 681, 6064, 601, 543, 10162, 6242, 2161, 602, 9299, 597, 625, 666, 581, 1851, 519, 1034, 12560, 4025, 593, 3618, 282, 6157, 789, 616, 1851, 519, 1034, 581, 548, 16331, 1229, 269, 8187, 25154, 540, 519, 30460, 24124, 16217, 21961, 786, 8300, 1312, 993, 622, 2720, 543, 4648, 609, 519, 7287, 547, 1451, 811, 827, 519, 13300, 540, 519, 31403, 5251, 563, 12041, 281, 3627, 8496, 5459, 454, 21812, 281, 2160, 540, 19578, 4964, 454, 3725, 3161, 11261, 281, 476, 1220, 280, 268, 1556, 268, 4905, 454, 17606, 729, 513, 13576, 900, 14283, 538, 5614, 543, 4832, 950, 519, 3808, 1652, 12798, 10443, 2066, 621, 267, 513, 512, 1177, 5500, 5836, 896, 519, 12798, 540, 15489, 267, 543, 513, 22880, 543, 11213, 7962, 1465, 950, 519, 1390, 1279, 12798, 22755, 538, 689, 519, 22070, 269, 898, 729, 2142, 592, 1695, 1633, 585, 1082, 282, 2983, 1156, 3534, 585, 930, 269, 898, 729, 519, 7381, 31403, 1848, 1765, 5228, 519, 968, 303, 1503, 4084, 892, 20323, 3370, 538, 476, 2735, 273, 267, 7316, 519, 21708, 23548, 534, 267, 3627, 8496, 5459, 779, 19506, 8313, 267, 5189, 3988, 2066, 519, 4182, 547, 519, 13300, 540, 519, 7381, 24124, 31403, 267, 26354, 519, 1699, 1719, 538, 31403, 11808, 269, 3767, 1394, 538, 1820, 267, 713, 5929, 547, 1889, 786, 4196, 607, 6667, 547, 1346, 1175, 1565, 827, 519, 2295, 1633, 779, 5065, 5251, 543, 556, 11779, 548, 519, 6612, 540, 1279, 6066, 31403, 12439, 563, 12041, 281, 5261, 681, 269, 16888, 454, 21812, 281, 6816, 4964, 454, 3725, 3161, 11261, 281, 476, 1960, 278, 268, 6734, 268, 4905, 454, 303, 571, 597, 625, 616, 1851, 519, 1034, 16094, 28811, 8134, 593, 519, 3345, 1977, 11782, 267, 609, 12303, 1100, 3312, 31403, 2244, 31607, 538, 513, 29814, 1533, 269, 5221, 540, 519, 2179, 543, 10335, 540, 2825, 3441, 10272, 2390, 873, 267, 9299, 597, 625, 723, 1831, 513, 18445, 2666, 585, 519, 19679, 326, 1782, 4739, 540, 8733, 11808, 7868, 11808, 540, 8134, 568, 513, 4052, 2257, 267, 609, 2370, 7811, 1702, 2139, 547, 3391, 519, 960, 540, 9439, 269, 6176, 568, 9715, 5097, 998, 606, 818, 706, 748, 1184, 540, 4693, 543, 5470, 267, 543, 519, 991, 585, 4687, 1344, 568, 10373, 269, 634, 30460, 24124, 26198, 18361, 568, 3976, 606, 1898, 9295, 547, 519, 3332, 7868, 1433, 568, 513, 3946, 6823, 8261, 602, 2488, 513, 2143, 2272, 540, 1018, 814, 1044, 4121, 827, 519, 1148, 543, 2257, 540, 31403, 11808, 543, 519, 3498, 540, 602, 1702, 547, 11808, 3785, 2429, 519, 1158, 269, 30667, 1683, 5583, 593, 782, 3344, 540, 519, 11808, 1184, 267, 689, 12497, 1436, 543, 4058, 267, 547, 11056, 543, 5464, 269, 30667, 3382, 281, 25137, 9265, 19620, 5095, 540, 4686, 2371, 726, 12976, 543, 694, 5338, 13844, 543, 4393, 5452, 10647, 17236, 9013, 12362, 2371, 3662, 5095, 5464, 10664, 543, 811, 4033, 2200, 1331, 513, 1883, 547, 11808, 3681, 602, 2488, 2143, 5528, 585, 1808, 2010, 540, 3785, 543, 513, 3102, 29395, 540, 11808, 2474, 269, 25715, 525, 1459, 2182, 3562, 1922, 785, 1239, 593, 2371, 543, 2831, 540, 519, 9299, 597, 625, 267, 6079, 4015, 7389, 267, 18640, 2409, 267, 2959, 540, 5452, 543, 3937, 267, 543, 811, 7868, 30460, 24124, 26198, 18361, 568, 513, 1533, 6361, 7308, 19603, 735, 754, 1756, 602, 666, 4196, 513, 4105, 1909, 607, 513, 4990, 540, 834, 30672, 17048, 543, 7816, 8261, 257, 585, 519, 7381, 24124, 9299, 597, 625, 543, 18073, 23761, 540, 519, 29268, 269, 18838, 676, 1346, 4171, 3119, 960, 568, 2965, 519, 1818, 540, 9299, 597, 625, 267, 621, 7710, 513, 16221, 540, 11808, 24866, 543, 2553, 543, 568, 606, 1898, 4199, 585, 4896, 2324, 547, 20741, 938, 2899, 8686, 2320, 656, 5065, 8916, 547, 513, 1533, 540, 1072, 563, 12041, 281, 18281, 4477, 10045, 454, 21812, 281, 2160, 540, 19578, 4964, 454, 3725, 3161, 11261, 281, 476, 1220, 280, 268, 4962, 268, 4905, 454, 7197, 9299, 597, 625, 2291, 2221, 607, 27929, 8916, 267, 1818, 15826, 543, 21713, 2359, 2479, 811, 1271, 269, 2271, 2105, 585, 2244, 14935, 543, 9946, 6131, 547, 1620, 543, 14637, 741, 9299, 597, 625, 607, 1134, 607, 6705, 267, 678, 4545, 1667, 267, 5726, 1235, 267, 543, 782, 1346, 609, 513, 2178, 1719, 538, 26377, 267, 3235, 6048, 18281, 4477, 10045, 779, 28505, 543, 4052, 8261, 1534, 919, 31403, 5411, 543, 9946, 827, 31922, 14498, 543, 3947, 873, 4808, 585, 5329, 9299, 597, 625, 3309, 267, 24526, 267, 543, 14323, 269, 30667, 538, 519, 1101, 3296, 267, 834, 303, 571, 21961, 17905, 2437, 4766, 31403, 2371, 543, 519, 2950, 789, 2661, 538, 267, 519, 2081, 538, 799, 19717, 1110, 5809, 2030, 2950, 267, 519, 3662, 543, 2030, 11317, 602, 616, 1883, 547, 31403, 6668, 267, 543, 519, 2956, 540, 4763, 1369, 2030, 543, 3662, 2950, 269, 30667, 538, 519, 2034, 3296, 267, 834, 303, 571, 21961, 5004, 2437, 2263, 519, 13261, 2359, 1184, 607, 1134, 607, 13057, 3741, 585, 8888, 2359, 2994, 267, 1806, 540, 3811, 2359, 1949, 971, 607, 3595, 543, 21737, 267, 5583, 585, 7231, 609, 5017, 543, 824, 2249, 602, 723, 1880, 7226, 4170, 543, 609, 519, 12362, 2249, 602, 723, 1831, 519, 1034, 3978, 3463, 602, 31403, 9946, 723, 547, 4308, 609, 267, 543, 2489, 2553, 585, 31403, 11808, 269, 11374, 519, 3932, 543, 513, 4464, 6253, 9722, 4063, 593, 2916, 1689, 267, 5216, 30569, 525, 1683, 811, 1344, 593, 21737, 267, 11311, 3595, 267, 543, 12362, 2249, 607, 1134, 607, 12190, 4919, 4967, 267, 8100, 267, 543, 3084, 543, 1533, 3906, 609, 6791, 538, 31403, 2359, 269, 23420, 4133, 666, 581, 1336, 2429, 1454, 540, 3345, 3013, 267, 543, 519, 2093, 543, 2994, 538, 713, 1433, 4019, 547, 1034, 540, 873, 267, 3226, 7381, 24124, 543, 6404, 3766, 14993, 9299, 597, 625, 538, 9456, 3345, 21241, 267, 9456, 3162, 21241, 267, 9456, 27228, 267, 9456, 17857, 267, 9456, 20274, 267, 32720, 16713, 267, 7187, 13325, 267, 32720, 18518, 267, 19578, 267, 27623, 16855, 267, 543, 27623, 16506, 269, 1635, 9306, 782, 519, 2188, 602, 3895, 6211, 4763, 543, 3976, 3986, 31403, 2950, 267, 1287, 6220, 891, 2188, 883, 513, 1305, 540, 2312, 1606, 32484, 2359, 2853, 267, 634, 17905, 543, 5004, 540, 16217, 597, 625, 538, 519, 6239, 2136, 2276, 6799, 519, 2645, 2556, 547, 2327, 602, 26377, 616, 7307, 538, 519, 3483, 995, 2081, 1898, 547, 519, 4797, 1072, 543, 6668, 540, 31403, 2950, 563, 12041, 281, 7788, 1157, 8055, 454, 21812, 281, 7027, 744, 6545, 17392, 454, 3725, 3161, 11261, 281, 476, 1960, 277, 268, 1015, 268, 4905, 454, 763, 7186, 20271, 3599, 814, 13175, 606, 8733, 4603, 593, 835, 540, 3345, 3013, 781, 2063, 6967, 20073, 525, 540, 26377, 269, 15332, 3274, 25137, 519, 1747, 267, 789, 616, 4974, 621, 543, 5935, 621, 606, 1168, 32523, 1394, 536, 2581, 543, 694, 5338, 609, 3595, 547, 5391, 4733, 519, 9265, 540, 513, 2244, 2760, 7745, 676, 519, 726, 578, 269, 27752, 8055, 729, 6964, 547, 1459, 1018, 568, 1634, 543, 1373, 21503, 7282, 519, 2067, 5117, 540, 519, 14642, 720, 7381, 24124, 31403, 267, 607, 1134, 607, 519, 3140, 1480, 3096, 540, 519, 31403, 602, 723, 8032, 922, 10305, 269, 7822, 6337, 676, 29542, 9796, 928, 267, 945, 8057, 909, 543, 2729, 538, 519, 1858, 267, 7866, 1010, 15982, 1702, 543, 27527, 585, 519, 2244, 543, 922, 18508, 543, 21426, 563, 307, 1245, 538, 519, 2278, 781, 3982, 1947, 22539, 2511, 267, 713, 1655, 18522, 3391, 547, 835, 540, 519, 4102, 8134, 538, 3345, 3013, 568, 1631, 8242, 269, 8191, 5511, 267, 2143, 267, 543, 23963, 909, 3562, 15082, 267, 16217, 21961, 281, 589, 7849, 3778, 2488, 513, 3102, 267, 1875, 14482, 1013, 673, 3391, 547, 519, 7350, 543, 14498, 540, 519, 9299, 597, 625, 267, 519, 4279, 26111, 26377, 540, 3345, 3013, 269, 901, 7160, 814, 1044, 8242, 547, 1331, 513, 1007, 840, 2183, 267, 1007, 1344, 827, 19394, 6177, 2249, 267, 8476, 4027, 540, 536, 2581, 267, 519, 1198, 540, 22713, 593, 519, 9299, 597, 625, 267, 543, 519, 1198, 540, 519, 2333, 538, 31352, 1774, 2338, 593, 2699, 29372, 543, 16190, 29372, 269, 6987, 2056, 689, 22598, 5045, 547, 519, 14967, 5211, 267, 519, 9299, 597, 625, 616, 1851, 519, 4102, 8134, 538, 3345, 3013, 269, 19402, 5063, 267, 789, 941, 849, 835, 540, 519, 29659, 543, 1034, 15999, 2067, 26377, 538, 519, 1158, 269, 4653, 789, 616, 1851, 519, 1034, 12012, 5054, 593, 3047, 269, 16503, 3603, 609, 20498, 2407, 12258, 712, 11147, 543, 17715, 3109, 7146, 22554, 1899, 12400, 267, 713, 22265, 4704, 543, 2653, 3562, 22345, 3391, 568, 513, 1590, 585, 4896, 945, 6499, 547, 917, 811, 827, 519, 546, 9579, 1782, 2067, 3099, 540, 519, 9299, 597, 625, 269, 15618, 538, 11450, 609, 519, 6424, 30554, 25431, 7690, 563, 12041, 281, 3627, 570, 12313, 454, 21812, 281, 2160, 540, 19578, 4964, 454, 3725, 3161, 11261, 281, 476, 1001, 275, 268, 6187, 268, 4905, 454, 7049, 516, 281, 16520, 26888, 454, 763, 7381, 24124, 31403, 540, 519, 2038, 476, 5197, 271, 338, 267, 513, 4190, 543, 9583, 11995, 5251, 540, 3552, 25154, 543, 21823, 267, 568, 1631, 513, 6263, 20276, 656, 540, 922, 5449, 1163, 534, 572, 269, 1306, 513, 5339, 5251, 267, 609, 1454, 540, 519, 1977, 2825, 9345, 5059, 593, 513, 13416, 10206, 540, 811, 20498, 1806, 540, 3552, 5898, 267, 7381, 24124, 568, 1256, 811, 20495, 269, 16217, 21961, 2278, 543, 12167, 3627, 570, 269, 12313, 9289, 1018, 621, 1131, 1491, 547, 11177, 7381, 24124, 31403, 547, 922, 1318, 995, 1747, 693, 519, 4099, 540, 938, 7104, 3961, 269, 634, 2626, 547, 602, 2243, 568, 1010, 30460, 24124, 16217, 21961, 24153, 267, 513, 1101, 6361, 268, 1080, 29292, 4015, 540, 3332, 689, 543, 827, 519, 7381, 24124, 1979, 648, 326, 542, 269, 29760, 593, 17770, 7240, 15923, 538, 513, 2647, 3099, 540, 3029, 267, 9739, 267, 543, 4485, 31251, 7045, 2239, 267, 5289, 8086, 267, 6689, 17728, 267, 7111, 1977, 5380, 267, 5339, 2067, 1686, 267, 9644, 267, 2951, 1603, 543, 1867, 720, 1765, 515, 26549, 519, 8733, 4763, 540, 7381, 24124, 3294, 543, 2488, 513, 2039, 540, 3631, 585, 2470, 5830, 543, 1053, 269, 634, 26567, 11460, 2636, 3988, 547, 1995, 7381, 24124, 998, 519, 4064, 543, 4337, 5209, 540, 17288, 26690, 4589, 689, 519, 13524, 547, 519, 8938, 23867, 5553, 269, 13360, 902, 676, 1360, 2038, 17701, 616, 4553, 676, 1568, 540, 13524, 10601, 4589, 602, 2992, 519, 4250, 267, 25713, 267, 27527, 267, 543, 26497, 540, 7045, 19856, 656, 693, 519, 942, 269, 2991, 476, 5002, 271, 267, 1739, 519, 9552, 540, 519, 5354, 540, 7381, 24124, 267, 1454, 540, 519, 1603, 2968, 19911, 531, 11551, 267, 12461, 13519, 267, 543, 7242, 545, 269, 589, 1007, 2825, 9637, 7682, 539, 3294, 4571, 1417, 1722, 267, 607, 2123, 6114, 547, 7381, 24124, 941, 5051, 6766, 676, 3677, 8733, 5380, 269, 27264, 543, 11808, 24568, 11526, 676, 2182, 2257, 1765, 655, 1120, 539, 607, 2101, 4798, 269, 7216, 8938, 23867, 10601, 12591, 6542, 606, 4656, 540, 7381, 24124, 2825, 1686, 543, 519, 991, 585, 4961, 267, 1519, 5830, 267, 547, 3314, 543, 547, 948, 4688, 938, 2899, 15999, 9299, 597, 625, 563, 12041, 281, 8845, 700, 269, 19811, 454, 21812, 281, 2160, 540, 20274, 4964, 454, 3725, 3161, 11261, 281, 476, 1960, 271, 454, 7049, 516, 281, 4317, 3163, 454, 17780, 593, 4574, 4843, 693, 513, 476, 2735, 278, 1623, 24007, 267, 834, 27852, 538, 3345, 1977, 23420, 4133, 2437, 524, 2214, 29107, 676, 519, 26954, 5980, 540, 3013, 543, 519, 15636, 19680, 5980, 540, 3013, 267, 713, 1433, 4564, 606, 1271, 9295, 547, 1883, 796, 753, 26833, 2055, 7282, 519, 1909, 540, 3595, 538, 31922, 8134, 281, 1215, 1419, 1705, 11642, 2049, 538, 519, 2250, 286, 21518, 789, 5097, 2067, 610, 3361, 676, 3425, 286, 2311, 1018, 942, 540, 1032, 1705, 26377, 7363, 6633, 286, 1215, 1058, 3595, 581, 1031, 607, 513, 2359, 1907, 286, 1548, 13054, 513, 1697, 11311, 8781, 12512, 1312, 609, 543, 1510, 21737, 888, 12041, 281, 6276, 674, 269, 670, 1195, 454, 3725, 3161, 11261, 281, 476, 1960, 278, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4853, 7344, 9657, 454, 23855, 3098, 616, 12006, 2519, 593, 2022, 15926, 10179, 454, 335, 8432, 263, 26120, 512, 699, 20953, 622, 264, 630, 303, 4953, 264, 11480, 3562, 1532, 582, 1479, 9657, 2676, 516, 19464, 540, 4396, 5068, 3653, 630, 9915, 310, 264, 689, 2022, 15926, 10179, 454, 17569, 1645, 3653, 543, 9657, 540, 9501, 310, 689, 3653, 689, 5122, 454, 663, 5907, 3937, 630, 310, 18501, 1040, 769, 1840, 267, 1585, 21187, 454, 21720, 569, 1336, 538, 610, 3773, 547, 13381, 22169, 616, 5941, 563, 273, 25663, 2839, 12813, 3008, 12087, 654, 3008, 15288, 630, 9915, 310, 994, 273, 269, 272, 17959, 540, 5068, 3653, 454, 763, 2949, 15229, 2344, 568, 13856, 676, 519, 2048, 27415, 2462, 476, 276, 685, 2676, 4067, 569, 25168, 1886, 22005, 630, 13048, 1070, 4874, 26120, 630, 14154, 1070, 4874, 9109, 2643, 17296, 454, 263, 11901, 290, 1070, 4874, 560, 344, 16867, 630, 4916, 264, 543, 27946, 267, 945, 1927, 1118, 909, 1472, 454, 3583, 260, 540, 782, 14475, 15229, 5001, 269, 769, 2342, 267, 519, 454, 3256, 3215, 6990, 585, 891, 15229, 616, 11183, 630, 2412, 260, 13211, 20761, 543, 4070, 630, 736, 15992, 16669, 630, 1015, 15992, 5907, 543, 454, 19491, 1258, 673, 630, 277, 8472, 543, 6683, 630, 274, 22103, 2353, 824, 6990, 454, 18474, 1441, 630, 4621, 10179, 543, 7622, 5370, 267, 11647, 267, 7328, 2676, 8234, 543, 3106, 264, 1118, 909, 519, 6967, 1804, 540, 476, 736, 260, 1547, 1323, 454, 1478, 1613, 540, 891, 6990, 543, 741, 3335, 1031, 22169, 568, 454, 3333, 1144, 538, 7612, 476, 272, 563, 7712, 6735, 585, 2067, 2200, 4679, 11451, 2676, 5658, 1115, 971, 607, 15229, 2504, 616, 4742, 811, 454, 341, 592, 1676, 762, 547, 1569, 543, 5777, 4586, 763, 3864, 4346, 568, 4867, 7680, 513, 2178, 5397, 454, 339, 578, 1841, 513, 1445, 593, 6940, 267, 1312, 538, 2504, 543, 454, 4621, 18870, 540, 2472, 269, 3864, 2477, 723, 7960, 936, 454, 1492, 2063, 1079, 5756, 689, 513, 1445, 593, 12871, 2409, 547, 513, 454, 24030, 518, 1445, 593, 6604, 543, 9657, 269, 27822, 568, 2808, 454, 320, 2101, 3653, 5786, 4640, 267, 607, 851, 540, 519, 476, 275, 20745, 4640, 912, 516, 706, 576, 267, 19074, 267, 22120, 630, 332, 17467, 1070, 9156, 630, 24479, 264, 1547, 10765, 454, 335, 643, 4973, 6054, 1331, 519, 3864, 8189, 779, 8562, 983, 454, 292, 1595, 344, 13268, 720, 476, 543, 519, 1715, 1773, 10415, 19004, 1867, 676, 519, 454, 292, 961, 523, 5839, 14880, 7690, 4586, 7197, 540, 519, 5068, 3653, 568, 6383, 676, 10820, 543, 630, 25988, 994, 17569, 1645, 3653, 538, 7140, 2531, 7149, 713, 3653, 6908, 269, 769, 476, 1001, 271, 2676, 1492, 3328, 3864, 6383, 476, 276, 1724, 4846, 18513, 4396, 3653, 454, 263, 5960, 310, 1040, 19087, 540, 18513, 3653, 829, 21027, 814, 17379, 454, 338, 2775, 569, 689, 476, 1220, 275, 547, 476, 1001, 273, 267, 855, 621, 568, 5693, 1732, 7307, 1631, 454, 22474, 4557, 1296, 3516, 269, 18831, 602, 723, 2919, 3608, 454, 332, 10129, 531, 2914, 4292, 2359, 1949, 3622, 1685, 1732, 454, 514, 2949, 3653, 2359, 269, 634, 1297, 540, 2477, 9657, 454, 663, 24600, 811, 982, 476, 1789, 260, 540, 18513, 3653, 2799, 454, 5228, 476, 1556, 547, 476, 1704, 856, 540, 476, 3374, 267, 543, 1346, 2244, 325, 3739, 811, 982, 476, 4037, 260, 540, 741, 454, 332, 10129, 531, 3653, 17379, 689, 476, 1556, 547, 476, 279, 4586, 3725, 19464, 3928, 616, 20406, 2810, 269, 769, 476, 1001, 277, 267, 476, 2767, 269, 272, 2929, 19726, 454, 1993, 2022, 15926, 10179, 15229, 3653, 8694, 909, 538, 519, 4013, 3653, 454, 6894, 338, 269, 476, 7761, 269, 278, 260, 729, 16626, 998, 9657, 543, 1648, 454, 516, 11734, 3157, 1247, 476, 2767, 269, 274, 260, 1869, 4682, 547, 25087, 269, 901, 7678, 540, 454, 27463, 2084, 9657, 543, 6051, 3928, 543, 13302, 25087, 568, 454, 3333, 1144, 538, 7612, 476, 273, 4586, 2467, 568, 513, 2178, 15424, 5397, 547, 11179, 2333, 454, 516, 19464, 3928, 585, 15229, 267, 2523, 2016, 519, 16529, 9072, 454, 3553, 538, 519, 2487, 8562, 983, 19004, 13268, 720, 476, 543, 922, 7766, 454, 9146, 4566, 267, 799, 2062, 5408, 513, 1455, 9167, 9657, 3077, 540, 476, 4792, 14999, 1993, 782, 11183, 3653, 676, 476, 1708, 276, 630, 663, 476, 4037, 260, 676, 476, 10711, 271, 1070, 1519, 513, 454, 4649, 260, 9657, 3077, 4481, 585, 15229, 11183, 563, 303, 513, 575, 552, 1923, 476, 274, 454, 20983, 13543, 476, 272, 269, 1773, 10415, 3747, 676, 12249, 543, 2344, 10126, 630, 1001, 278, 264, 3097, 20983, 13543, 476, 273, 269, 476, 1220, 277, 268, 1001, 277, 3653, 2126, 4720, 538, 2342, 282, 3039, 281, 9657, 282, 4544, 281, 1648, 6051, 282, 2699, 281, 2244, 325, 3739, 3097, 303, 513, 575, 552, 1923, 476, 275, 454, 273, 269, 273, 17904, 5004, 28762, 8944, 454, 12024, 824, 3653, 12535, 267, 5068, 3653, 814, 547, 581, 2941, 539, 609, 538, 454, 1492, 1034, 4264, 1259, 269, 634, 3653, 2359, 15796, 538, 454, 8201, 476, 274, 6799, 513, 10862, 1592, 540, 2853, 547, 1184, 3653, 454, 6894, 338, 269, 634, 1592, 3922, 3278, 519, 1114, 3653, 7829, 2409, 454, 5228, 2547, 13476, 7874, 547, 1034, 4264, 4586, 7093, 3685, 666, 581, 1336, 538, 519, 26627, 25958, 2990, 540, 713, 3653, 454, 2006, 1771, 15796, 269, 2048, 7093, 3685, 568, 1732, 982, 10826, 685, 568, 519, 454, 27146, 867, 658, 6662, 538, 3653, 2359, 267, 1317, 1100, 4015, 454, 663, 4393, 540, 519, 3653, 2326, 616, 2556, 269, 634, 2034, 454, 2865, 14909, 4781, 568, 556, 14025, 267, 538, 799, 519, 3653, 2326, 610, 454, 335, 20094, 798, 711, 10929, 7293, 2242, 267, 543, 616, 1031, 1586, 454, 1721, 519, 3312, 3483, 563, 4913, 267, 621, 568, 17149, 602, 3573, 5666, 540, 5068, 3653, 454, 15884, 1869, 2097, 883, 6228, 269, 4475, 267, 519, 1445, 814, 547, 581, 538, 519, 454, 516, 19464, 540, 891, 3653, 12535, 609, 513, 2070, 547, 14656, 17787, 543, 454, 326, 992, 2417, 883, 513, 2048, 15132, 983, 4346, 685, 1259, 540, 3206, 269, 634, 454, 516, 19464, 13374, 267, 2901, 7344, 610, 3114, 267, 5012, 547, 454, 16149, 776, 6151, 2326, 799, 666, 581, 1031, 585, 741, 3312, 610, 454, 1278, 5301, 269, 1879, 519, 3105, 2409, 3112, 581, 4294, 2676, 24479, 973, 10967, 566, 998, 1651, 514, 3130, 568, 519, 9053, 4781, 563, 27455, 325, 3739, 568, 519, 2063, 18992, 543, 814, 547, 581, 14284, 693, 782, 2053, 563, 20983, 13543, 476, 274, 269, 11154, 539, 4137, 689, 2433, 634, 17904, 5004, 28762, 8944, 454, 7093, 3685, 568, 3989, 476, 607, 519, 3800, 3144, 1354, 513, 454, 11357, 560, 766, 267, 1570, 610, 1587, 814, 1831, 3653, 267, 602, 2569, 454, 32355, 630, 328, 264, 519, 2698, 11050, 2179, 540, 3653, 5352, 267, 630, 4512, 264, 519, 454, 17463, 5222, 540, 519, 6383, 3653, 593, 519, 1604, 543, 454, 16058, 1072, 610, 630, 13839, 264, 519, 1543, 540, 5739, 6878, 538, 454, 332, 17467, 543, 2472, 563, 17843, 3800, 666, 581, 17298, 547, 2061, 1007, 3653, 563, 15761, 3290, 540, 519, 10715, 540, 513, 1587, 666, 581, 2938, 607, 6604, 454, 27889, 677, 269, 3414, 1570, 2298, 267, 1732, 543, 5924, 22606, 1587, 454, 9188, 793, 538, 799, 22302, 2694, 616, 2062, 16308, 267, 1587, 14438, 666, 581, 454, 335, 1503, 784, 539, 269, 14568, 1587, 1374, 267, 5473, 513, 5786, 630, 324, 3052, 563, 628, 27903, 1587, 610, 5688, 2213, 4320, 270, 7076, 5223, 264, 538, 1570, 454, 2224, 267, 849, 6971, 519, 2698, 5068, 3653, 6383, 269, 5015, 2676, 1492, 18839, 540, 15229, 676, 824, 2326, 630, 17549, 267, 3574, 267, 4837, 2676, 5471, 531, 267, 3092, 4700, 666, 1291, 547, 513, 4130, 2179, 540, 5068, 3653, 2676, 6011, 1197, 267, 1272, 268, 12860, 4879, 2090, 1058, 581, 5340, 547, 581, 454, 762, 547, 3442, 519, 1034, 4264, 1570, 269, 7053, 267, 519, 1374, 454, 1721, 6691, 1464, 6240, 786, 3565, 547, 519, 6604, 540, 454, 27415, 3653, 2326, 269, 14755, 16715, 519, 2179, 540, 5068, 454, 4310, 267, 519, 1445, 849, 814, 547, 581, 2322, 593, 4227, 13818, 454, 4818, 2432, 538, 519, 5068, 2504, 4586, 1103, 1931, 547, 1020, 513, 1587, 609, 519, 9803, 2009, 1764, 593, 454, 1492, 1604, 267, 782, 5933, 538, 519, 1587, 779, 1272, 4783, 723, 547, 581, 454, 4621, 30872, 269, 1323, 6099, 10357, 17393, 793, 540, 5068, 2472, 786, 723, 513, 454, 27168, 3310, 593, 922, 6691, 1464, 630, 520, 1439, 6361, 3734, 264, 543, 519, 454, 323, 12801, 547, 799, 789, 666, 6451, 13381, 2326, 630, 520, 1376, 8894, 1993, 3734, 264, 1547, 634, 3864, 5742, 9244, 6212, 593, 3395, 454, 339, 578, 1841, 513, 8562, 983, 19004, 543, 5036, 856, 1463, 1161, 585, 922, 454, 12248, 1845, 269, 634, 19889, 17393, 793, 6034, 633, 630, 1220, 280, 270, 10219, 270, 4488, 264, 9244, 454, 611, 341, 1182, 519, 5071, 585, 27822, 6240, 267, 538, 799, 2472, 616, 454, 7424, 2919, 3823, 513, 3551, 9657, 269, 31478, 454, 332, 1468, 946, 543, 2653, 24905, 1782, 540, 519, 3309, 2326, 616, 519, 454, 4486, 3800, 540, 713, 6240, 269, 1717, 267, 538, 713, 1935, 267, 519, 454, 17637, 585, 27822, 4640, 1152, 30211, 593, 519, 1587, 779, 454, 754, 6361, 3734, 269, 9747, 267, 621, 568, 849, 1898, 547, 2832, 3007, 693, 519, 454, 9188, 793, 693, 519, 1587, 779, 1376, 6361, 3734, 269, 4475, 267, 5071, 689, 454, 3725, 19464, 2073, 476, 568, 513, 14911, 11218, 540, 519, 5071, 454, 1721, 27822, 6240, 269, 1234, 7094, 539, 12249, 1570, 616, 20083, 454, 5976, 1761, 2472, 1759, 593, 741, 9342, 543, 12755, 563, 3725, 14025, 3322, 2472, 799, 723, 1044, 2966, 543, 3812, 454, 1729, 30593, 513, 8766, 2179, 540, 32186, 936, 741, 1272, 12732, 269, 4107, 569, 454, 28205, 2472, 616, 28729, 6394, 267, 11028, 1288, 539, 543, 454, 516, 15263, 539, 585, 519, 1482, 3483, 269, 634, 1655, 1634, 1383, 568, 519, 454, 20123, 328, 2389, 8692, 5068, 1835, 919, 543, 533, 24548, 269, 4033, 1806, 1331, 454, 10915, 650, 762, 4235, 14569, 543, 23431, 5068, 11149, 269, 15733, 454, 276, 1923, 623, 513, 575, 552, 454, 338, 1245, 998, 2034, 11804, 8637, 630, 743, 5847, 267, 9162, 267, 11418, 267, 3092, 8094, 732, 19040, 896, 556, 14025, 563, 1103, 1931, 547, 1577, 6604, 543, 556, 14025, 8011, 267, 519, 4656, 540, 454, 1492, 7082, 1644, 547, 519, 9688, 2225, 540, 3618, 779, 2200, 2676, 13757, 547, 581, 630, 325, 1887, 264, 11506, 1547, 1280, 1383, 267, 6800, 723, 547, 454, 13440, 1758, 1125, 602, 519, 2204, 332, 566, 540, 2582, 14025, 17365, 11435, 568, 454, 320, 269, 20996, 9657, 454, 9288, 22817, 9657, 3322, 1152, 7344, 3157, 454, 14116, 337, 4193, 267, 11067, 267, 19459, 267, 15018, 267, 556, 3766, 3757, 6819, 543, 454, 4818, 15929, 264, 1547, 634, 5833, 6691, 919, 666, 5372, 20424, 454, 680, 10415, 538, 519, 21753, 540, 1007, 5068, 2472, 269, 5871, 454, 30112, 2553, 1310, 556, 2173, 601, 1154, 616, 13297, 22285, 532, 2676, 2169, 337, 4288, 267, 24364, 22285, 532, 543, 3002, 10296, 476, 4586, 1607, 4480, 568, 1152, 10858, 593, 5687, 31129, 2326, 267, 607, 454, 750, 21573, 1115, 786, 711, 556, 2173, 3881, 269, 6201, 540, 7344, 9657, 540, 454, 14006, 15926, 10179, 15229, 3653, 912, 8624, 3005, 543, 8860, 540, 15044, 267, 2973, 26076, 1835, 919, 543, 16471, 454, 1993, 519, 1036, 337, 785, 609, 20424, 12249, 547, 22285, 1007, 1835, 919, 3248, 8624, 3005, 540, 1970, 5860, 4874, 26120, 630, 299, 7894, 292, 264, 8874, 1031, 538, 454, 698, 3472, 675, 543, 4853, 11183, 267, 840, 2914, 4770, 267, 8860, 2676, 31290, 267, 19459, 267, 15018, 543, 15835, 1922, 2830, 1674, 22812, 8894, 28699, 1637, 543, 4393, 883, 20549, 11435, 3248, 8624, 3005, 543, 18570, 540, 27946, 14569, 1031, 585, 10425, 454, 17569, 1645, 267, 8860, 267, 11067, 267, 19459, 267, 15018, 543, 454, 30112, 883, 4874, 6856, 26939, 267, 9212, 610, 11149, 4586, 2026, 7344, 9657, 568, 519, 1034, 24819, 538, 2221, 779, 2872, 2676, 10472, 786, 1106, 519, 1445, 540, 519, 14230, 540, 713, 2689, 563, 321, 269, 11906, 9657, 454, 9827, 1572, 5687, 12950, 610, 3049, 18450, 9657, 267, 3114, 454, 516, 19464, 3322, 6127, 538, 799, 519, 6394, 5068, 454, 342, 4292, 568, 26947, 28811, 883, 922, 1395, 12002, 610, 824, 2596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14917, 275, 14593, 824, 12356, 547, 18310, 267, 543, 689, 18310, 547, 17230, 282, 1869, 1866, 267, 849, 540, 22758, 328, 5169, 267, 1185, 1101, 32164, 3603, 547, 519, 23617, 540, 3127, 543, 689, 972, 24389, 2390, 1870, 1318, 909, 547, 17230, 269, 1280, 13418, 543, 3354, 267, 891, 21471, 2950, 267, 1715, 541, 607, 1134, 607, 20629, 332, 272, 21796, 352, 8147, 26200, 6896, 609, 513, 2212, 21471, 267, 610, 694, 341, 476, 1968, 2212, 22278, 267, 8204, 873, 267, 7863, 741, 678, 662, 418, 364, 495, 338, 15659, 856, 741, 13882, 282, 538, 1840, 267, 519, 1715, 541, 1185, 606, 1055, 328, 9463, 352, 531, 1798, 523, 512, 894, 540, 741, 4622, 282, 519, 22758, 529, 3100, 547, 723, 6591, 7864, 3051, 476, 850, 2471, 982, 519, 1715, 541, 269, 6271, 11008, 24556, 1993, 554, 21928, 639, 32093, 945, 786, 544, 418, 365, 364, 324, 513, 1747, 585, 873, 30441, 538, 700, 13757, 320, 543, 1744, 580, 520, 572, 267, 5310, 711, 1354, 519, 1439, 540, 519, 476, 1704, 628, 1298, 340, 13200, 374, 8147, 18713, 505, 7474, 540, 519, 4457, 12356, 8385, 689, 717, 753, 340, 269, 1452, 5789, 26266, 367, 327, 1218, 18808, 538, 4457, 3623, 802, 543, 15090, 3149, 267, 5310, 15195, 15090, 3149, 689, 590, 9200, 1014, 12647, 543, 8933, 269, 634, 25307, 8128, 3100, 547, 723, 786, 5944, 7109, 730, 891, 16583, 375, 528, 552, 793, 619, 267, 1875, 5174, 3291, 7290, 855, 711, 18340, 569, 339, 1944, 267, 543, 13991, 547, 1870, 269, 2552, 337, 926, 8147, 417, 496, 478, 419, 503, 377, 8147, 874, 1162, 540, 12797, 543, 771, 17304, 421, 352, 508, 8147, 712, 3124, 730, 609, 2543, 547, 932, 9463, 352, 560, 1014, 28773, 267, 945, 2408, 689, 476, 14341, 275, 267, 798, 711, 4497, 538, 1870, 267, 855, 798, 2119, 547, 6460, 4746, 4080, 538, 700, 13757, 320, 267, 1318, 693, 519, 4098, 540, 519, 476, 1240, 628, 524, 523, 8913, 13200, 374, 8147, 732, 22278, 689, 13225, 27175, 8147, 2108, 307, 691, 541, 9232, 22278, 267, 602, 568, 547, 2161, 15216, 11169, 267, 543, 267, 1641, 547, 519, 8343, 1500, 1657, 8147, 2108, 15404, 322, 990, 924, 892, 22278, 5405, 505, 11590, 498, 333, 958, 267, 513, 11008, 24556, 1993, 22278, 593, 799, 649, 616, 1655, 5483, 281, 519, 18433, 2103, 269, 634, 18433, 2103, 7308, 344, 616, 552, 557, 24341, 3602, 538, 519, 594, 476, 278, 628, 2540, 544, 30111, 267, 3127, 267, 17230, 267, 835, 9060, 873, 693, 782, 519, 544, 9463, 354, 528, 3444, 30030, 540, 4123, 543, 16450, 269, 3509, 8385, 2097, 689, 1715, 808, 5285, 320, 630, 296, 5285, 320, 267, 2098, 5285, 320, 1070, 513, 1016, 7875, 540, 1772, 325, 25301, 1141, 267, 538, 476, 8182, 276, 267, 519, 4622, 540, 30111, 267, 20961, 2806, 21353, 267, 1185, 7142, 519, 4483, 540, 476, 272, 267, 1220, 29515, 3885, 689, 297, 5285, 320, 593, 519, 19966, 343, 324, 538, 18433, 807, 269, 1452, 3885, 3964, 513, 21471, 12733, 24731, 520, 2366, 922, 989, 523, 420, 485, 376, 324, 557, 26266, 356, 3602, 267, 689, 2342, 547, 17230, 676, 1259, 540, 30111, 543, 3127, 267, 543, 2663, 267, 3262, 1934, 543, 972, 998, 1340, 24924, 625, 543, 2950, 269, 20323, 267, 789, 941, 540, 1576, 10271, 269, 769, 30111, 543, 538, 631, 690, 592, 3127, 267, 1498, 27985, 2348, 519, 1318, 547, 2611, 865, 267, 789, 941, 454, 24746, 25426, 362, 329, 28341, 547, 865, 1454, 840, 25203, 362, 675, 267, 3771, 817, 332, 419, 503, 377, 272, 512, 543, 21259, 267, 602, 930, 267, 547, 2057, 713, 267, 2968, 12356, 269, 1358, 941, 4396, 569, 3964, 538, 13127, 485, 374, 324, 2823, 540, 5080, 520, 282, 789, 1185, 1044, 267, 585, 513, 1279, 942, 267, 538, 3397, 571, 267, 4793, 3534, 267, 8496, 6652, 267, 14208, 690, 25632, 24556, 5405, 491, 514, 2836, 12827, 3279, 1354, 2836, 12827, 3279, 267, 607, 621, 941, 269, 1358, 3576, 5011, 267, 2663, 267, 609, 519, 3703, 267, 543, 5129, 513, 2462, 1909, 538, 519, 4259, 909, 540, 519, 5101, 3127, 7577, 538, 2836, 12827, 3279, 538, 1249, 543, 538, 519, 26587, 7987, 493, 344, 519, 7720, 11590, 489, 272, 3149, 547, 519, 3703, 540, 6109, 753, 543, 4123, 533, 333, 9463, 360, 548, 2471, 269, 634, 29515, 3060, 21401, 689, 16156, 547, 918, 5429, 267, 689, 918, 663, 1695, 541, 547, 26811, 327, 267, 547, 645, 4157, 327, 4673, 267, 547, 21741, 9463, 352, 345, 267, 547, 7066, 321, 714, 27475, 267, 538, 1249, 267, 789, 2366, 8069, 267, 607, 649, 723, 2938, 267, 1175, 607, 3362, 547, 8355, 345, 580, 607, 547, 700, 13757, 320, 543, 2473, 1456, 269, 1358, 941, 4464, 532, 989, 523, 420, 485, 376, 332, 782, 25584, 282, 998, 873, 5293, 22758, 328, 695, 1177, 3149, 267, 4154, 267, 1660, 330, 267, 14546, 267, 513, 8536, 543, 835, 9463, 354, 262, 303, 525, 540, 4095, 17234, 267, 28422, 9748, 543, 3623, 802, 267, 11002, 889, 16808, 267, 14147, 267, 993, 828, 267, 15090, 3149, 8147, 24556, 752, 21217, 543, 1094, 742, 1258, 267, 14950, 331, 4169, 267, 5998, 1407, 543, 4439, 7410, 267, 1957, 267, 1350, 24731, 590, 14569, 267, 7401, 543, 3556, 600, 558, 269, 1358, 941, 5578, 995, 267, 6896, 267, 4810, 267, 789, 2141, 12038, 694, 341, 5736, 256, 4654, 267, 789, 1500, 513, 4938, 566, 540, 16450, 267, 4708, 2406, 267, 789, 16309, 269, 11048, 267, 519, 1974, 540, 741, 957, 272, 4970, 500, 1399, 538, 17230, 729, 5618, 282, 519, 15244, 649, 723, 540, 873, 979, 689, 519, 476, 12739, 271, 338, 547, 519, 1032, 540, 519, 28044, 541, 12289, 267, 476, 272, 476, 278, 1704, 269, 2991, 519, 7001, 540, 700, 13757, 320, 543, 519, 1296, 540, 8373, 543, 5208, 602, 4553, 267, 835, 1100, 3476, 4718, 873, 1586, 538, 17230, 267, 9232, 476, 4970, 495, 528, 267, 32047, 267, 519, 12357, 834, 15404, 1723, 309, 272, 5052, 2901, 269, 634, 1715, 541, 267, 519, 22758, 529, 543, 519, 4457, 12356, 18423, 563, 23613, 13474, 267, 18648, 13474, 888, 4322, 20558, 540, 3348, 1015, 639, 2326, 630, 338, 24731, 420, 485, 376, 8147, 613, 916, 267, 993, 828, 267, 14147, 267, 15090, 3149, 264, 616, 886, 545, 12571, 494, 339, 547, 12314, 538, 938, 8186, 609, 513, 5266, 1507, 1402, 340, 561, 566, 267, 1500, 909, 9247, 540, 27998, 543, 13184, 9742, 619, 15073, 309, 272, 978, 513, 1272, 602, 568, 1570, 569, 19020, 267, 1256, 25229, 21747, 267, 607, 2241, 607, 602, 540, 922, 1082, 26112, 269, 9463, 511, 296, 2692, 267, 1287, 267, 1500, 909, 519, 25307, 7817, 25279, 1698, 320, 6926, 540, 9140, 713, 17195, 25584, 286, 634, 3909, 543, 2482, 818, 529, 547, 322, 6483, 602, 729, 13671, 267, 693, 602, 942, 267, 538, 700, 13757, 320, 543, 1744, 580, 520, 572, 286, 8409, 3743, 585, 1412, 1492, 931, 325, 337, 9463, 352, 794, 543, 15022, 3512, 566, 540, 1661, 726, 525, 543, 5493, 2167, 267, 4358, 530, 328, 24731, 1492, 623, 4973, 320, 286, 9894, 519, 32540, 28867, 3581, 1831, 14547, 267, 1705, 513, 1362, 540, 1134, 3562, 28273, 22278, 2097, 883, 552, 21796, 359, 338, 512, 775, 286, 1548, 8167, 540, 519, 16865, 10475, 19898, 9463, 352, 1023, 18423, 454, 514, 17230, 267, 543, 1018, 8167, 267, 21945, 538, 700, 13757, 320, 267, 733, 332, 4240, 519, 808, 5978, 683, 344, 547, 2473, 1456, 610, 547, 22186, 332, 663, 340, 547, 3914, 824, 4914, 18046, 286, 2290, 693, 2547, 9864, 2626, 547, 891, 2055, 568, 267, 540, 1576, 267, 519, 5834, 540, 891, 10475, 2326, 538, 519, 17633, 543, 1395, 553, 1768, 328, 16583, 373, 8147, 547, 799, 15555, 712, 4166, 11911, 32263, 16782, 267, 16782, 7683, 1332, 328, 12571, 357, 8147, 6866, 2322, 1394, 883, 10009, 538, 519, 4346, 855, 13394, 3603, 267, 6378, 267, 547, 519, 9006, 3130, 540, 519, 24587, 630, 29006, 540, 519, 623, 4973, 320, 543, 570, 1662, 559, 684, 17763, 267, 519, 1034, 4583, 267, 786, 581, 726, 1495, 1229, 538, 519, 476, 1240, 628, 1298, 584, 24556, 2421, 10546, 20679, 267, 855, 519, 15555, 712, 786, 1279, 522, 340, 18263, 509, 557, 873, 264, 12984, 972, 711, 267, 2705, 267, 930, 608, 12000, 3130, 267, 593, 519, 851, 540, 7747, 16583, 373, 8147, 607, 547, 519, 1483, 2956, 540, 24731, 529, 11008, 24556, 1993, 20558, 538, 17230, 11313, 338, 3666, 540, 4123, 286, 2201, 519, 824, 1688, 476, 7987, 489, 952, 649, 5635, 519, 536, 9463, 360, 330, 540, 18666, 799, 1331, 10475, 2326, 267, 4154, 543, 1660, 330, 538, 1880, 267, 7132, 606, 7164, 7274, 540, 15144, 1050, 322, 420, 485, 376, 663, 782, 519, 824, 2472, 2367, 512, 16845, 1657, 2914, 603, 519, 13557, 540, 20558, 1934, 621, 476, 272, 338, 2556, 547, 1293, 2462, 1898, 1790, 3420, 1162, 899, 7401, 267, 9304, 7987, 489, 519, 8988, 544, 2998, 420, 485, 376, 1721, 1818, 621, 267, 543, 782, 519, 824, 25584, 679, 10179, 730, 1657, 630, 2288, 2348, 1360, 2370, 1239, 693, 938, 804, 529, 27760, 9984, 821, 568, 15673, 539, 547, 1589, 602, 1018, 2451, 17230, 729, 4421, 10464, 3379, 547, 519, 1158, 2344, 3902, 630, 6533, 759, 1245, 693, 513, 1454, 2362, 3902, 538, 824, 2477, 22287, 506, 5405, 491, 514, 1022, 2013, 267, 1775, 555, 417, 507, 355, 419, 503, 377, 322, 1643, 585, 4154, 19351, 850, 538, 519, 6587, 4287, 267, 17230, 11751, 693, 1164, 5777, 267, 769, 519, 1184, 267, 972, 729, 605, 420, 485, 359, 339, 547, 581, 1500, 267, 799, 18867, 13631, 4914, 22278, 267, 5047, 267, 649, 723, 2938, 13127, 485, 374, 520, 17230, 29633, 267, 3592, 14311, 267, 4652, 31944, 2472, 630, 684, 10915, 1441, 4154, 267, 796, 15263, 539, 1660, 330, 267, 7938, 14414, 968, 3333, 1177, 331, 892, 15144, 267, 16392, 11922, 544, 13557, 264, 543, 16865, 1082, 14475, 2472, 602, 3769, 519, 1942, 540, 519, 960, 267, 519, 1034, 11495, 1383, 269, 1373, 922, 7640, 4970, 495, 30501, 11027, 1890, 5236, 376, 491, 7987, 490, 301, 454, 299, 295, 3008, 288, 267, 595, 14510, 5508, 623, 6579, 294, 6020, 7246, 12283, 15576, 807, 20873, 564, 337, 4068, 2986, 519, 533, 18777, 358, 15317, 1137, 602, 3576, 1747, 538, 700, 13757, 320, 538, 519, 476, 1704, 628, 2540, 267, 834, 262, 917, 2370, 267, 29312, 717, 4902, 828, 267, 513, 20908, 3726, 540, 22341, 5169, 267, 543, 554, 13959, 267, 15751, 546, 685, 7775, 6807, 267, 513, 32068, 5692, 541, 24556, 8147, 945, 4941, 575, 1394, 547, 2342, 676, 4262, 543, 941, 8572, 547, 798, 865, 1317, 540, 512, 321, 10656, 3625, 1228, 540, 5839, 7776, 267, 4956, 547, 2132, 1753, 936, 1633, 267, 476, 271, 519, 1259, 267, 789, 11074, 538, 700, 13757, 320, 1141, 789, 18423, 585, 554, 20721, 371, 334, 3923, 1358, 941, 519, 4970, 498, 337, 560, 17417, 547, 3643, 700, 13757, 320, 282, 602, 729, 538, 476, 14917, 272, 269, 774, 267, 2451, 1100, 2272, 540, 741, 3460, 1035, 549, 420, 485, 376, 17230, 267, 855, 717, 4902, 828, 267, 1394, 476, 7987, 495, 2342, 267, 5795, 1010, 4967, 543, 1010, 25780, 547, 19158, 11446, 3780, 918, 1844, 615, 267, 1313, 327, 322, 540, 519, 4583, 3624, 561, 961, 755, 337, 1092, 267, 3370, 538, 5824, 538, 476, 14917, 278, 267, 901, 530, 281, 13127, 485, 374, 324, 11590, 498, 337, 560, 3308, 2272, 24731, 324, 4639, 3893, 540, 713, 2749, 799, 519, 4413, 1470, 267, 818, 625, 1572, 676, 519, 15116, 2012, 540, 4446, 656, 7637, 267, 634, 594, 476, 278, 628, 1298, 584, 24556, 13195, 513, 5912, 1974, 538, 17230, 267, 2094, 267, 585, 512, 331, 1101, 942, 267, 513, 18243, 2967, 700, 4821, 267, 538, 713, 2013, 519, 25004, 267, 2968, 519, 6891, 340, 543, 13796, 2212, 540, 519, 2197, 267, 769, 476, 14321, 279, 267, 717, 2313, 686, 16679, 267, 2212, 540, 519, 10609, 9655, 583, 15216, 11169, 267, 3357, 524, 7796, 25263, 488, 332, 720, 547, 700, 13757, 320, 269, 898, 568, 1287, 602, 646, 1558, 519, 717, 601, 4157, 11985, 9246, 541, 743, 15020, 24330, 676, 519, 8545, 267, 646, 476, 12486, 420, 25693, 1042, 1010, 513, 420, 485, 376, 568, 339, 766, 547, 519, 717, 601, 25431, 281, 538, 741, 4339, 989, 7461, 379, 333, 560, 519, 533, 333, 2325, 540, 17578, 836, 11662, 267, 799, 1489, 324, 519, 918, 12609, 918, 698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3177, 676, 606, 674, 10499, 568, 538, 513, 2039, 1034, 3425, 666, 1406, 1256, 5873, 14386, 1411, 1522, 2272, 585, 713, 676, 4657, 519, 2039, 540, 12451, 596, 1616, 519, 674, 10499, 547, 20272, 269, 2368, 3615, 630, 7945, 607, 623, 3558, 543, 631, 293, 6717, 264, 1491, 454, 10946, 26466, 336, 7440, 799, 2636, 596, 547, 1445, 519, 674, 10499, 2079, 538, 513, 11578, 602, 568, 6209, 547, 596, 269, 6271, 1935, 949, 581, 1210, 9253, 289, 1343, 799, 568, 513, 2417, 7004, 593, 519, 3172, 6421, 540, 606, 674, 10499, 267, 23454, 873, 883, 13164, 602, 616, 811, 829, 1061, 1302, 4143, 547, 3425, 563, 15919, 1210, 606, 454, 742, 339, 23917, 3677, 982, 519, 454, 30720, 23917, 666, 581, 6225, 1317, 621, 3947, 721, 1164, 2298, 31992, 538, 519, 4908, 6389, 4908, 1317, 540, 519, 968, 2169, 571, 892, 25510, 649, 4076, 3773, 269, 769, 713, 2013, 267, 519, 968, 611, 4765, 892, 8301, 5439, 1031, 585, 519, 674, 10499, 616, 14950, 4765, 607, 21325, 269, 8074, 602, 713, 1281, 711, 2965, 1683, 2362, 4908, 6571, 538, 519, 4908, 6389, 269, 22039, 6571, 568, 1869, 5462, 676, 519, 2450, 540, 519, 6885, 1373, 21845, 269, 6423, 20023, 22087, 3429, 585, 811, 1344, 563, 290, 22511, 267, 590, 1149, 267, 543, 6178, 1023, 454, 11328, 5562, 3137, 540, 6786, 267, 10386, 267, 543, 519, 22263, 17992, 676, 10793, 5576, 320, 539, 2401, 10059, 2517, 329, 2931, 15939, 539, 2401, 3052, 603, 889, 269, 1470, 11305, 597, 3380, 1606, 1149, 1606, 793, 1023, 13045, 3719, 1018, 568, 519, 22263, 17992, 286, 589, 3308, 4367, 454, 2791, 12564, 3381, 676, 476, 274, 23325, 272, 31342, 10059, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 4944, 7419, 6853, 293, 6812, 289, 312, 261, 10623, 1155, 284, 344, 719, 340, 269, 2041, 454, 4306, 10499, 281, 21478, 540, 32001, 9577, 454, 297, 1575, 344, 614, 8074, 1504, 2813, 676, 2725, 514, 731, 28228, 28705, 543, 7671, 2098, 1779, 578, 10059, 2517, 4178, 269, 7596, 2723, 11274, 268, 518, 331, 836, 523, 19709, 270, 637, 1545, 19072, 7644, 22077, 6573, 14727, 273, 14727, 273, 318, 4306, 10499, 8862, 785, 578, 11258, 454, 763, 18001, 15642, 18344, 454, 2304, 4367, 547, 519, 18001, 15642, 18344, 23990, 689, 20676, 532, 10619, 609, 930, 3769, 7665, 15649, 10059, 2517, 19464, 10619, 2593, 14121, 583, 3645, 338, 270, 1492, 25686, 8686, 665, 18344, 268, 260, 292, 273, 260, 3199, 260, 11152, 12268, 25829, 454, 763, 811, 2489, 10462, 6240, 267, 3564, 7061, 454, 2791, 12564, 3381, 676, 476, 274, 23325, 272, 31342, 10059, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 11586, 25699, 311, 321, 6865, 276, 306, 275, 454, 842, 30698, 7913, 28686, 14409, 454, 288, 1305, 540, 7317, 23405, 540, 667, 9915, 3741, 10059, 2517, 628, 1512, 787, 323, 19513, 527, 3052, 603, 889, 269, 1470, 270, 328, 9169, 303, 270, 0, 3674, 13106, 16599, 923, 9406, 1280, 1411, 286, 13106, 16599, 923, 568, 513, 7936, 540, 25185, 602, 21314, 519, 21084, 543, 2126, 540, 3765, 7955, 539, 4522, 543, 849, 4323, 3270, 269, 634, 20614, 1522, 849, 4125, 519, 14842, 540, 11132, 1646, 269, 769, 713, 2361, 267, 596, 666, 3605, 1082, 1114, 1826, 540, 24782, 269, 1677, 1265, 856, 811, 3823, 519, 1896, 1114, 12204, 540, 26966, 545, 5574, 267, 3136, 2542, 256, 634, 1034, 2500, 4183, 540, 26966, 923, 568, 602, 621, 779, 5266, 6578, 7888, 267, 607, 1134, 269, 8616, 1018, 4523, 952, 596, 616, 711, 4010, 2386, 2436, 596, 1058, 1413, 585, 26966, 545, 2126, 286, 26935, 625, 585, 4731, 665, 2424, 267, 10123, 5219, 547, 607, 513, 968, 17463, 11116, 5608, 616, 513, 1390, 1523, 585, 6738, 5725, 602, 616, 14126, 7282, 741, 5959, 1072, 269, 2755, 4731, 665, 2424, 568, 7363, 711, 5906, 267, 621, 666, 3142, 827, 513, 3126, 540, 5711, 13542, 267, 9967, 540, 4057, 9882, 543, 1966, 4189, 269, 589, 5959, 19995, 1522, 2303, 26966, 545, 3797, 547, 16185, 707, 4731, 665, 2424, 269, 589, 3765, 7955, 539, 10265, 666, 1711, 5818, 539, 12178, 540, 5959, 1286, 625, 607, 1134, 607, 31470, 26628, 269, 3958, 267, 3983, 5959, 1072, 568, 2352, 547, 2226, 950, 519, 4522, 616, 711, 13988, 5265, 269, 2755, 5959, 25329, 798, 711, 9594, 1279, 3856, 14796, 547, 707, 4522, 267, 596, 11129, 547, 3251, 2312, 540, 24494, 3536, 607, 1134, 607, 3983, 5959, 9882, 269, 634, 5959, 25329, 666, 6952, 1426, 267, 4929, 811, 15799, 13250, 269, 1677, 2057, 713, 689, 2921, 1747, 267, 596, 1590, 2327, 547, 2973, 572, 519, 27115, 593, 513, 2834, 4493, 269, 1411, 1590, 10123, 5431, 602, 5634, 5322, 540, 4522, 616, 3339, 2429, 707, 1272, 269, 4107, 1507, 20517, 798, 711, 1289, 585, 2417, 3797, 269, 1717, 952, 707, 5694, 5163, 568, 607, 1134, 4049, 267, 10551, 2126, 949, 581, 2838, 269, 13689, 2390, 519, 3978, 1145, 540, 707, 8373, 267, 26966, 545, 3797, 786, 3622, 1331, 30465, 543, 5110, 762, 14233, 269, 1546, 5306, 609, 14233, 949, 5351, 519, 4522, 547, 1847, 7930, 538, 942, 543, 849, 1764, 10265, 1646, 269, 1403, 596, 798, 711, 723, 606, 5711, 1966, 267, 707, 26966, 626, 949, 18973, 1033, 778, 762, 3457, 269, 16480, 267, 596, 1522, 581, 2838, 547, 5957, 873, 1247, 596, 2461, 593, 519, 979, 267, 865, 1118, 1978, 547, 2307, 827, 585, 875, 1279, 707, 5574, 786, 6157, 1491, 269, 1879, 596, 2461, 4712, 547, 979, 998, 26966, 545, 3797, 267, 596, 3580, 581, 20938, 609, 519, 4093, 256, 13106, 16599, 923, 568, 606, 5711, 7463, 8506, 3773, 18375, 269, 898, 568, 513, 7463, 1369, 5959, 1416, 602, 3875, 2489, 5959, 9439, 3277, 741, 7218, 547, 269, 901, 1858, 540, 25185, 9388, 609, 513, 3099, 540, 5959, 2152, 267, 971, 607, 936, 321, 924, 267, 795, 698, 3022, 4522, 267, 610, 824, 12150, 885, 269, 769, 1082, 2665, 267, 606, 26966, 626, 949, 1256, 2303, 519, 10868, 540, 13311, 4522, 547, 11863, 811, 1858, 538, 519, 5023, 269, 4495, 707, 26966, 626, 814, 2965, 2944, 519, 2838, 2126, 267, 707, 5959, 4274, 666, 1217, 596, 2436, 596, 1058, 3489, 25329, 610, 711, 269, 769, 2489, 267, 26966, 923, 568, 513, 16419, 7936, 540, 5959, 1416, 602, 9388, 609, 513, 5542, 540, 5711, 2042, 269, 589, 4731, 665, 2424, 267, 610, 3765, 7955, 539, 4522, 267, 666, 1291, 547, 2042, 609, 4633, 607, 1134, 607, 10438, 269, 26935, 625, 585, 713, 2783, 786, 4217, 4368, 519, 3765, 7955, 539, 11116, 543, 849, 5818, 707, 2489, 1072, 543, 9716, 543, 5920, 269, 634, 5574, 949, 849, 581, 23815, 543, 2232, 1585, 824, 2152, 602, 666, 1491, 1747, 538, 519, 5023, 267, 971, 607, 3665, 2604, 593, 519, 10265, 14752, 610, 14779, 269, 13405, 547, 6236, 26966, 923, 607, 513, 2816, 1576, 267, 1118, 2386, 602, 621, 779, 1945, 596, 5963, 1491, 12257, 538, 269, 670, 836, 856, 11287, 1585, 9439, 543, 849, 2542, 4930, 827, 519, 4876, 269, 1879, 596, 723, 2965, 3908, 519, 2361, 267, 596, 1590, 2824, 606, 25129, 607, 1134, 607, 21160, 707, 2619, 607, 2556, 269, 1323, 25129, 666, 2709, 596, 609, 1271, 5796, 543, 849, 1620, 602, 666, 948, 596, 547, 1118, 519, 1655, 3903, 585, 707, 2816, 269, 1703, 616, 3875, 2640, 547, 29466, 519, 4998, 1367, 547, 581, 707, 21927, 269, 0, 763, 623, 30972, 518, 781, 26626, 454, 29797, 665, 878, 344, 538, 634, 623, 30972, 518, 779, 26626, 676, 2983, 32015, 932, 29694, 454, 29797, 4531, 19192, 568, 968, 1492, 2259, 540, 19101, 547, 723, 5837, 4441, 610, 4978, 547, 799, 835, 779, 1378, 2623, 1281, 711, 14883, 269, 634, 623, 30972, 518, 538, 968, 763, 623, 30972, 518, 779, 26626, 892, 676, 2983, 32015, 932, 29694, 28420, 513, 3501, 1383, 540, 3834, 4531, 19192, 607, 3254, 646, 968, 323, 3996, 711, 2259, 1018, 646, 840, 2851, 892, 630, 15221, 268, 16318, 1916, 763, 623, 30972, 518, 14213, 338, 25796, 1145, 538, 1010, 28005, 976, 547, 1764, 1010, 1514, 2680, 540, 1004, 547, 21704, 741, 4154, 547, 1864, 547, 693, 821, 689, 741, 1202, 520, 6636, 269, 19744, 23597, 941, 2178, 12439, 543, 1522, 4444, 519, 882, 923, 543, 2612, 9407, 6616, 519, 623, 30972, 518, 729, 513, 3834, 665, 1679, 269, 4014, 23597, 949, 1589, 519, 623, 30972, 518, 568, 513, 5910, 2658, 267, 789, 1131, 17908, 1142, 7127, 3118, 585, 693, 821, 618, 267, 1256, 513, 7301, 835, 563, 763, 623, 30972, 518, 10750, 569, 11099, 602, 1010, 6197, 814, 4986, 547, 798, 609, 519, 1967, 540, 1010, 840, 2286, 543, 1058, 711, 1860, 873, 538, 1022, 1259, 269, 1280, 1383, 267, 519, 623, 30972, 518, 2829, 968, 8170, 1285, 541, 823, 543, 540, 2220, 747, 17400, 539, 5886, 572, 1772, 620, 1250, 840, 16408, 978, 267, 585, 547, 1118, 8280, 1863, 1677, 9493, 1597, 554, 597, 23445, 282, 543, 12077, 267, 21349, 803, 17373, 630, 12208, 268, 14625, 1040, 901, 10839, 12857, 519, 1292, 10206, 540, 519, 623, 30972, 518, 779, 22801, 524, 913, 339, 748, 1145, 267, 607, 646, 4422, 1996, 7484, 7190, 538, 1010, 840, 2286, 547, 1118, 1010, 5304, 2043, 811, 12666, 609, 741, 11113, 269, 1261, 6180, 5809, 1866, 585, 741, 1202, 520, 6636, 609, 513, 1978, 1439, 3804, 547, 11886, 1010, 1378, 267, 799, 519, 2818, 2887, 585, 563, 1103, 1840, 267, 646, 6257, 5128, 538, 513, 1259, 602, 7506, 1864, 547, 2408, 899, 513, 10723, 3879, 13577, 540, 519, 15352, 5128, 269, 1261, 6487, 1010, 11018, 540, 1004, 281, 972, 779, 519, 14764, 267, 1650, 267, 543, 519, 20089, 547, 2709, 1945, 267, 782, 4898, 2685, 5293, 593, 269, 1261, 3096, 1978, 2453, 267, 10723, 1603, 267, 543, 8076, 5515, 547, 8858, 1010, 1448, 269, 634, 623, 30972, 518, 568, 9765, 5944, 20938, 609, 5128, 607, 646, 18252, 533, 2884, 1143, 547, 1852, 269, 968, 7069, 928, 1688, 525, 543, 1250, 9522, 613, 979, 517, 865, 586, 518, 928, 2334, 568, 7772, 324, 547, 694, 1250, 20312, 29498, 572, 2108, 630, 12208, 268, 13647, 1040, 1261, 779, 513, 14046, 1268, 945, 12662, 1010, 5100, 338, 547, 19838, 582, 6750, 8415, 563, 2690, 519, 1034, 851, 267, 519, 623, 30972, 518, 18327, 646, 568, 1121, 528, 1088, 612, 543, 796, 1042, 9851, 762, 607, 646, 9727, 1010, 4390, 547, 8300, 9758, 771, 6588, 576, 543, 3284, 1108, 547, 1866, 1510, 2479, 2899, 1373, 4299, 676, 891, 27742, 5128, 269, 1261, 18327, 646, 568, 2295, 1652, 607, 646, 3081, 968, 3719, 1498, 8885, 581, 575, 14923, 538, 602, 5348, 928, 267, 8616, 737, 534, 594, 544, 2586, 522, 1278, 12563, 547, 1000, 2106, 928, 3245, 1285, 541, 823, 267, 543, 865, 648, 547, 1065, 25366, 892, 630, 15221, 1107, 476, 16960, 1916, 5472, 1919, 1373, 3160, 267, 646, 733, 1742, 602, 538, 19220, 540, 1010, 30096, 7881, 267, 646, 666, 693, 1459, 11000, 513, 6671, 28005, 517, 602, 7575, 693, 821, 618, 267, 799, 23597, 1616, 267, 1818, 519, 623, 30972, 518, 513, 13587, 1853, 563, 763, 623, 30972, 518, 779, 26626, 543, 20504, 532, 519, 769, 5271, 3386, 17389, 454, 1805, 1559, 616, 3710, 593, 3972, 269, 1809, 945, 610, 1018, 649, 2322, 938, 3972, 538, 568, 3448, 269, 623, 30972, 518, 779, 26626, 568, 513, 1650, 827, 513, 18348, 533, 30972, 518, 10213, 1010, 4277, 1650, 269, 634, 623, 30972, 518, 2306, 2386, 602, 519, 5304, 6487, 602, 646, 568, 513, 561, 3511, 267, 9141, 676, 1285, 541, 823, 1657, 782, 3116, 543, 602, 1010, 15752, 616, 28067, 269, 594, 786, 8044, 538, 713, 1957, 602, 1100, 2339, 1018, 519, 623, 30972, 518, 779, 15752, 616, 267, 610, 875, 11786, 1010, 31081, 17965, 568, 267, 646, 6913, 1945, 2318, 676, 11264, 513, 5837, 1650, 269, 594, 786, 849, 3409, 602, 519, 26575, 270, 7596, 1466, 1058, 2141, 2322, 741, 3972, 538, 519, 4890, 1650, 3294, 267, 711, 547, 519, 1650, 339, 11839, 269, 901, 1505, 2258, 919, 1312, 519, 9837, 543, 19969, 540, 519, 1650, 339, 11839, 2094, 891, 1919, 798, 711, 2339, 952, 519, 1650, 568, 519, 26575, 779, 1292, 1445, 543, 849, 2306, 519, 3982, 9668, 540, 14084, 543, 13587, 1516, 563, 303, 30972, 518, 568, 513, 13492, 2006, 540, 2679, 3972, 855, 1946, 543, 875, 646, 568, 2679, 713, 3972, 568, 3833, 4277, 269, 623, 30972, 518, 6663, 547, 2744, 2724, 610, 538, 824, 1913, 6163, 267, 1010, 7575, 547, 2306, 2386, 602, 1010, 1285, 541, 823, 568, 13455, 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 ]
[ 4459, 6357, 848, 318, 23748, 2676, 1038, 1948, 23748, 30648, 318, 3336, 267, 3490, 318, 23748, 815, 6207, 4671, 4459, 6357, 848, 318, 23748, 2676, 1038, 3902, 30648, 318, 3336, 267, 3490, 318, 23748, 815, 4009, 4671, 4459, 6357, 848, 318, 23748, 2676, 14030, 4449, 476, 3902, 30648, 318, 3336, 2676, 14030, 4449, 476, 1003, 318, 7741, 2676, 14030, 4449, 476, 3902, 2676, 14030, 4449, 476, 1565, 318, 3433, 284, 14048, 318, 3433, 994, 825, 2588, 2812, 6155, 3863, 318, 1467, 263, 23748, 30648, 318, 3336, 267, 3490, 318, 23748, 267, 1412, 18872, 3299, 4358, 284, 271, 267, 10678, 284, 280, 994, 825, 2588, 2812, 19502, 318, 9557, 6600, 324, 2137, 267, 10297, 994, 825, 1820, 3488, 25820, 829, 4055, 281, 3299, 3902, 30648, 318, 3336, 994, 825, 1820, 3488, 26015, 3902, 281, 3299, 3490, 318, 23748, 994, 825, 12301, 20481, 4590, 825, 12301, 31892, 2660, 263, 9792, 12759, 263, 518, 5558, 24270, 6959, 994, 825, 12301, 20481, 4590, 825, 2132, 3902, 30648, 318, 3336, 267, 3490, 318, 23748, 692, 15035, 318, 2958, 1833, 6600, 324, 2137, 267, 10297, 267, 1565, 318, 3433, 815, 476, 271, 269, 4905, 267, 22184, 338, 815, 476, 1911, 876, 2020, 5814, 2881, 545, 5273, 607, 512, 322, 692, 323, 520, 611, 1112, 815, 13634, 825, 1412, 10623, 2137, 9166, 2934, 2676, 825, 1412, 18350, 1564, 262, 476, 2433, 10297, 2676, 10926, 11907, 815, 512, 322, 2529, 20988, 5560, 520, 611, 1112, 994, 0, 3698, 1711, 6831, 25699, 263, 19417, 267, 8700, 267, 3178, 2676, 825, 12086, 14352, 1626, 267, 476, 3953, 267, 476, 5038, 1070, 562, 321, 318, 5035, 525, 2187, 825, 1948, 3355, 1125, 519, 3403, 3337, 543, 8756, 10155, 267, 14322, 454, 672, 32150, 23044, 270, 577, 2335, 1564, 2000, 770, 19280, 3097, 825, 3403, 4537, 1901, 815, 630, 19417, 267, 8700, 267, 3178, 994, 825, 669, 534, 291, 574, 815, 910, 272, 454, 825, 1948, 5581, 519, 2203, 3403, 454, 825, 11378, 815, 18452, 263, 27729, 284, 6358, 4537, 1901, 994, 825, 1948, 8520, 936, 519, 1297, 540, 12086, 454, 825, 585, 630, 328, 267, 535, 264, 538, 26246, 6600, 559, 1562, 2187, 672, 453, 258, 952, 713, 568, 519, 1101, 12164, 309, 4494, 1287, 1305, 519, 3403, 14013, 454, 672, 14851, 1775, 2652, 476, 271, 912, 672, 453, 453, 343, 815, 11378, 454, 672, 453, 258, 12164, 309, 18092, 23781, 308, 18092, 645, 301, 18092, 18161, 5357, 454, 672, 453, 343, 815, 1230, 341, 273, 291, 6600, 267, 630, 274, 267, 476, 274, 1070, 3097, 672, 453, 1038, 14950, 3429, 6889, 338, 877, 257, 7565, 343, 994, 672, 453, 343, 815, 2920, 10474, 2891, 516, 1663, 257, 7565, 343, 994, 672, 453, 343, 815, 645, 2255, 31863, 1436, 18692, 672, 453, 2018, 7852, 284, 2559, 291, 574, 7565, 343, 994, 672, 453, 343, 815, 7665, 303, 944, 532, 273, 291, 18692, 672, 453, 1038, 7535, 15481, 14352, 273, 267, 476, 273, 4297, 263, 343, 994, 8931, 825, 1535, 815, 25065, 1084, 3890, 263, 343, 994, 825, 1535, 815, 667, 1619, 263, 1626, 7565, 343, 994, 825, 1535, 815, 2920, 10474, 2891, 516, 1663, 257, 7565, 343, 994, 825, 1535, 815, 645, 2255, 31863, 1436, 18692, 2018, 7852, 284, 2559, 291, 574, 7565, 343, 994, 825, 1535, 815, 29100, 719, 263, 271, 269, 276, 7565, 343, 994, 825, 1948, 4019, 1776, 674, 290, 4494, 267, 713, 835, 547, 6474, 519, 1297, 540, 9136, 454, 825, 1948, 4947, 856, 540, 519, 631, 10861, 454, 825, 1535, 815, 667, 1619, 3799, 321, 318, 5035, 525, 7565, 343, 994, 825, 1535, 815, 2920, 10474, 2891, 516, 1663, 257, 7565, 343, 994, 825, 1948, 4020, 519, 23711, 454, 825, 2203, 815, 7844, 9272, 338, 267, 1535, 994, 825, 1948, 2132, 519, 23711, 454, 825, 2132, 2203, 454, 0, 12163, 12041, 281, 13660, 784, 307, 745, 784, 1320, 334, 454, 14630, 281, 476, 6349, 270, 6021, 270, 1708, 272, 454, 25284, 281, 1401, 619, 823, 318, 4905, 318, 2457, 318, 3707, 18258, 454, 19370, 912, 11434, 7316, 616, 9074, 4632, 267, 6724, 267, 543, 10151, 4632, 5189, 543, 454, 30976, 1242, 538, 513, 1982, 888, 11405, 912, 1038, 570, 4932, 303, 3036, 14473, 966, 2752, 296, 5723, 299, 2464, 23241, 1038, 21850, 4629, 23604, 3633, 2433, 3330, 513, 3625, 267, 789, 723, 1360, 2110, 10715, 543, 3180, 1239, 602, 666, 581, 23987, 610, 568, 2663, 6740, 538, 513, 8628, 4756, 692, 1038, 5442, 296, 2316, 3201, 22003, 3633, 2433, 10151, 4632, 666, 581, 3355, 1242, 9170, 3330, 519, 3625, 1141, 789, 616, 10294, 780, 1038, 24315, 4456, 4953, 8991, 1384, 1038, 21850, 4629, 23604, 3633, 2433, 6724, 616, 10294, 3330, 519, 2385, 4185, 540, 519, 1599, 4214, 692, 1038, 5442, 296, 2316, 3201, 22003, 3633, 2433, 6724, 666, 581, 3355, 1242, 1141, 789, 616, 10294, 610, 666, 581, 10294, 538, 519, 2385, 4185, 540, 519, 1599, 1289, 692, 1038, 26827, 308, 4041, 966, 2752, 296, 21764, 23241, 1038, 21850, 4629, 23604, 3633, 2433, 589, 9074, 7400, 4756, 568, 10294, 585, 513, 1880, 9074, 269, 898, 568, 2139, 547, 782, 5773, 1369, 602, 9074, 855, 711, 547, 519, 1964, 540, 519, 3498, 269, 21602, 7400, 4632, 2611, 538, 6228, 585, 519, 10715, 540, 519, 3498, 543, 8190, 741, 2418, 780, 1038, 5442, 296, 2316, 3201, 22003, 3633, 2433, 9074, 4756, 4991, 3355, 1242, 1141, 789, 616, 10294, 3330, 519, 9074, 269, 621, 568, 3355, 1242, 547, 476, 271, 676, 9949, 563, 692, 8931, 18851, 0, 12163, 12041, 281, 667, 386, 364, 386, 350, 978, 2558, 386, 364, 12782, 507, 978, 774, 12782, 491, 454, 14630, 281, 476, 1556, 270, 5881, 270, 1708, 272, 454, 25284, 281, 608, 619, 823, 318, 6734, 318, 2457, 318, 6795, 18258, 454, 19370, 912, 8931, 825, 11512, 875, 547, 4159, 513, 15682, 540, 782, 540, 519, 3252, 538, 513, 2016, 9074, 563, 8931, 11405, 912, 825, 454, 825, 1924, 519, 1101, 3364, 649, 723, 547, 798, 568, 1104, 519, 15259, 9074, 563, 825, 2991, 596, 1104, 519, 15259, 9074, 267, 1287, 649, 1780, 519, 15259, 9074, 883, 519, 546, 597, 3890, 1599, 269, 901, 17016, 782, 540, 519, 10305, 543, 3252, 540, 519, 15259, 9074, 563, 825, 901, 16493, 856, 782, 540, 519, 10305, 543, 3252, 540, 519, 15259, 9074, 563, 825, 1411, 666, 1294, 972, 616, 3252, 971, 607, 1592, 323, 597, 267, 544, 330, 323, 597, 267, 544, 8898, 15077, 267, 3092, 563, 825, 901, 5932, 10305, 971, 607, 2012, 267, 2619, 267, 3092, 563, 825, 1656, 713, 568, 875, 547, 1592, 782, 3252, 267, 10305, 267, 543, 5049, 540, 513, 9074, 538, 5124, 563, 825, 454, 825, 3267, 563, 20701, 0, 12163, 12041, 281, 667, 386, 364, 386, 350, 978, 2558, 386, 364, 12782, 507, 978, 774, 12782, 491, 454, 14630, 281, 476, 1240, 270, 5881, 270, 1708, 272, 454, 25284, 281, 608, 619, 823, 318, 4962, 318, 2457, 318, 10844, 18258, 454, 19370, 912, 567, 1548, 568, 519, 5021, 1297, 540, 7058, 525, 2556, 547, 7058, 7157, 513, 2016, 1297, 1063, 519, 2338, 715, 543, 631, 888, 11405, 912, 825, 700, 17342, 272, 267, 1911, 271, 2639, 825, 717, 28121, 8679, 825, 585, 562, 538, 2039, 263, 272, 267, 1556, 2187, 1038, 1775, 284, 271, 454, 1038, 1247, 1775, 283, 6352, 27331, 9984, 272, 912, 2018, 7058, 815, 703, 263, 271, 269, 276, 16732, 299, 5157, 27994, 299, 5157, 266, 272, 27994, 272, 4917, 2018, 952, 7058, 711, 538, 700, 912, 3546, 700, 815, 700, 11468, 328, 266, 272, 27994, 314, 29674, 27994, 299, 5157, 266, 272, 281, 2639, 3546, 1775, 23785, 272, 454, 3546, 717, 314, 29674, 316, 815, 562, 454, 2018, 1775, 23785, 272, 454, 825, 590, 284, 271, 454, 825, 585, 575, 538, 717, 912, 1038, 590, 23785, 294, 314, 326, 2639, 825, 1820, 16733, 1015, 266, 306, 266, 1015, 8358, 1911, 271, 994, 825, 3267, 563, 12163, 299, 17342, 272, 267, 1911, 271, 2639, 294, 28121, 8679, 1721, 562, 538, 2039, 263, 272, 267, 1556, 2187, 825, 1775, 284, 271, 454, 825, 1247, 1775, 283, 6352, 27331, 9984, 272, 912, 1038, 7058, 815, 703, 263, 271, 269, 276, 16732, 299, 5157, 27994, 299, 5157, 266, 272, 27994, 272, 4917, 1038, 952, 7058, 711, 538, 700, 912, 2018, 700, 815, 700, 11468, 328, 266, 272, 27994, 314, 29674, 27994, 299, 5157, 266, 272, 281, 2639, 2018, 1775, 23785, 272, 454, 2018, 717, 314, 29674, 316, 815, 562, 454, 1038, 1775, 23785, 272, 454, 306, 284, 271, 454, 1721, 575, 538, 717, 912, 825, 590, 23785, 294, 314, 326, 2639, 2745, 16733, 1015, 266, 306, 266, 1015, 8358, 1911, 271, 994, 258, 476, 279, 269, 7176, 278, 0, 12163, 12041, 281, 13660, 784, 307, 745, 784, 1320, 334, 454, 14630, 281, 476, 6734, 270, 5400, 270, 1708, 272, 454, 25284, 281, 5741, 318, 6021, 318, 2457, 15836, 18258, 454, 19370, 912, 1038, 3503, 513, 7097, 3957, 1297, 6050, 18258, 269, 901, 7097, 5932, 513, 1982, 17609, 689, 513, 2707, 1982, 563, 1038, 901, 7097, 1058, 5401, 519, 3593, 585, 519, 4408, 540, 1079, 6119, 269, 634, 3403, 32197, 1223, 581, 519, 2012, 454, 1038, 540, 519, 7097, 3294, 267, 855, 581, 6297, 547, 946, 513, 1114, 3977, 32197, 256, 634, 7097, 12215, 519, 3515, 454, 1038, 540, 1257, 689, 519, 3403, 3758, 547, 519, 3977, 3758, 267, 1297, 532, 1142, 1899, 607, 621, 4422, 269, 634, 1899, 2338, 1058, 454, 1038, 581, 1318, 268, 3286, 1881, 538, 476, 275, 9587, 267, 865, 602, 519, 3898, 540, 513, 1899, 538, 519, 3977, 3758, 5654, 899, 713, 1383, 1384, 1363, 901, 568, 519, 1101, 1899, 540, 1257, 563, 7531, 11405, 912, 825, 18224, 1267, 454, 1038, 9373, 519, 3403, 3758, 2012, 281, 10371, 270, 12803, 14818, 270, 11687, 24927, 17902, 454, 1038, 9373, 519, 3977, 3758, 2012, 281, 10371, 270, 12803, 14818, 270, 11687, 280, 17902, 454, 20701, 12803, 17750, 815, 3403, 2891, 11767, 519, 3403, 3758, 2012, 281, 19515, 16059, 815, 3403, 2891, 11767, 519, 3977, 3758, 2012, 281, 834, 2020, 719, 17572, 815, 1930, 263, 16059, 267, 1412, 342, 17210, 5976, 1930, 31526, 17750, 267, 1412, 337, 10807, 607, 3758, 912, 825, 4994, 815, 476, 272, 454, 825, 585, 1899, 538, 3758, 912, 1038, 1820, 263, 1467, 994, 1038, 856, 17572, 22182, 2891, 260, 323, 285, 834, 260, 8161, 1341, 1899, 994, 1038, 4994, 6834, 476, 272, 454, 719, 17572, 25379, 4590, 0, 12163, 12041, 281, 13660, 784, 307, 745, 784, 1320, 334, 454, 14630, 281, 476, 6349, 270, 6021, 270, 1708, 272, 454, 25284, 281, 1401, 619, 823, 318, 4905, 318, 2457, 318, 14378, 18258, 454, 19370, 912, 11434, 14732, 5360, 1622, 602, 10747, 3252, 547, 946, 538, 1200, 3292, 568, 513, 2603, 540, 3063, 454, 1038, 960, 269, 2701, 3081, 1352, 666, 9096, 1200, 3292, 1454, 811, 3533, 952, 1352, 1175, 11339, 454, 1038, 873, 1210, 519, 2596, 12427, 543, 1852, 6898, 269, 3557, 1614, 4128, 1946, 1200, 454, 1038, 2070, 568, 2110, 338, 32484, 780, 11405, 912, 11434, 476, 272, 269, 12793, 1683, 31824, 538, 519, 3009, 630, 5649, 762, 8943, 994, 1038, 476, 273, 269, 12793, 2057, 17279, 538, 519, 3009, 563, 1038, 476, 274, 269, 8943, 666, 581, 7745, 1524, 883, 1016, 1790, 11301, 1210, 3252, 269, 799, 568, 2653, 547, 1174, 676, 1022, 1007, 6443, 518, 563, 1038, 476, 275, 269, 9577, 666, 581, 2016, 513, 10375, 2012, 602, 6257, 922, 946, 538, 519, 1982, 563, 8931, 12163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2969, 2752, 11872, 17323, 4559, 476, 274, 261, 275, 454, 4322, 966, 4753, 17323, 19590, 476, 274, 261, 275, 11872, 7873, 1619, 3388, 596, 991, 547, 917, 585, 707, 590, 3722, 338, 543, 519, 981, 267, 3246, 1283, 4388, 689, 513, 1164, 268, 778, 773, 1324, 5449, 2875, 865, 602, 596, 666, 4688, 942, 267, 4688, 7436, 267, 543, 1745, 811, 8746, 269, 901, 1433, 3568, 606, 11606, 540, 2013, 2090, 543, 2312, 1806, 540, 1883, 2035, 543, 6436, 267, 782, 4625, 13988, 547, 519, 1007, 5530, 5071, 267, 607, 1134, 607, 5796, 547, 948, 596, 13217, 707, 1702, 543, 2497, 6114, 547, 981, 16654, 2055, 563, 763, 2278, 267, 12359, 320, 267, 21783, 538, 476, 1708, 271, 2348, 2907, 6913, 513, 3501, 1353, 6060, 540, 476, 2004, 538, 17323, 950, 646, 729, 538, 5729, 476, 1556, 269, 1261, 729, 849, 13752, 519, 20031, 1512, 779, 13815, 585, 547, 6137, 519, 1533, 538, 713, 1641, 267, 543, 12236, 14222, 2164, 538, 5729, 476, 1321, 267, 1519, 1776, 6151, 476, 2004, 538, 2296, 5678, 543, 476, 5392, 338, 538, 670, 8461, 543, 2296, 269, 12359, 320, 814, 2094, 8854, 593, 547, 11654, 1010, 2090, 609, 513, 25328, 540, 3163, 11628, 1107, 6820, 12694, 630, 295, 517, 2293, 264, 693, 3933, 1662, 2160, 269, 0, 15575, 1845, 9561, 6046, 3167, 1379, 1131, 2693, 1995, 1454, 2362, 13864, 267, 4389, 3454, 8907, 267, 543, 824, 2883, 2042, 269, 28791, 972, 941, 513, 1259, 540, 13868, 519, 5201, 267, 4853, 543, 5010, 2534, 568, 2693, 547, 581, 26987, 1394, 267, 3056, 547, 7839, 2482, 26160, 540, 4600, 563, 4692, 519, 1158, 7639, 1510, 6046, 1379, 888, 301, 22022, 782, 540, 519, 1648, 649, 946, 593, 519, 3618, 267, 581, 621, 519, 1769, 649, 946, 585, 938, 4948, 2115, 610, 15591, 585, 2371, 568, 6508, 689, 835, 1390, 6046, 19720, 267, 799, 649, 1289, 519, 3141, 269, 2560, 1656, 1510, 519, 1648, 540, 519, 3141, 938, 1158, 1131, 581, 27507, 540, 5176, 782, 1272, 3029, 563, 3963, 1058, 649, 3247, 1210, 6046, 1648, 888, 21574, 13205, 547, 543, 4220, 2404, 609, 606, 2810, 946, 540, 6046, 1648, 1331, 10512, 4220, 543, 519, 2404, 3106, 4145, 267, 20879, 5599, 4220, 267, 2883, 543, 9431, 4220, 267, 796, 637, 9407, 3653, 2359, 2152, 267, 6046, 9604, 18735, 4145, 267, 543, 8801, 1857, 6644, 563, 25898, 6046, 1379, 4194, 2518, 8337, 888, 301, 13086, 1379, 779, 9295, 547, 2916, 1689, 17846, 568, 543, 786, 581, 1360, 3908, 269, 17497, 6046, 1379, 30417, 476, 273, 1700, 274, 260, 540, 2698, 2518, 23435, 294, 5434, 829, 1032, 269, 4340, 547, 1699, 4058, 713, 1871, 786, 6175, 1256, 2417, 2394, 476, 14225, 271, 269, 589, 8101, 7269, 540, 6046, 1379, 786, 711, 581, 2009, 563, 3674, 6046, 1379, 2556, 888, 2108, 301, 13086, 1379, 3788, 606, 1271, 543, 6325, 2707, 540, 2973, 5201, 267, 585, 2053, 950, 519, 2842, 1281, 711, 9514, 543, 519, 3141, 1281, 711, 19542, 563, 1432, 616, 519, 5383, 543, 11393, 540, 1210, 6046, 1648, 538, 6721, 1379, 888, 26794, 543, 11393, 540, 6046, 1379, 10473, 454, 19064, 1238, 806, 1100, 3542, 5024, 9362, 13954, 310, 4292, 568, 14599, 543, 2922, 12871, 568, 1360, 2352, 543, 7199, 8198, 347, 9989, 711, 3565, 547, 2518, 8337, 13954, 26222, 8143, 5533, 689, 16894, 5540, 7286, 1272, 8198, 1432, 616, 476, 1015, 11393, 540, 6046, 1648, 888, 301, 13086, 6052, 3117, 454, 268, 5890, 2400, 547, 12706, 269, 6736, 1373, 5266, 20522, 547, 7500, 267, 6046, 1379, 2371, 616, 11212, 7199, 547, 1628, 11652, 519, 1942, 8952, 8375, 269, 6693, 268, 6452, 6342, 269, 6693, 268, 21277, 806, 15571, 5562, 17904, 269, 6693, 268, 8177, 593, 519, 5113, 269, 6693, 268, 8232, 21784, 269, 6693, 268, 17290, 23556, 18242, 563, 1432, 616, 476, 276, 5383, 540, 6046, 1648, 888, 1432, 616, 519, 5383, 540, 6046, 1648, 888, 268, 2290, 540, 519, 1034, 1970, 28003, 1648, 2959, 563, 268, 898, 849, 814, 835, 540, 519, 10545, 3327, 29066, 563, 268, 898, 779, 835, 540, 519, 4267, 547, 519, 1648, 7934, 563, 268, 898, 779, 1898, 547, 938, 3210, 547, 2916, 1689, 543, 8511, 3154, 5434, 563, 268, 4039, 4192, 543, 1942, 15807, 563, 12663, 6046, 1648, 4688, 721, 888, 9336, 1032, 267, 6046, 24378, 5201, 17990, 938, 5790, 689, 811, 982, 476, 30420, 2929, 11973, 9748, 540, 3327, 8166, 5434, 602, 1131, 6382, 2097, 689, 8093, 10173, 269, 2560, 1948, 301, 13086, 12958, 811, 982, 3368, 540, 938, 2197, 779, 3327, 6954, 1648, 543, 568, 1898, 547, 1022, 2973, 1648, 3070, 563, 1692, 6046, 1379, 666, 4688, 519, 1158, 888, 10303, 6046, 1379, 568, 6325, 543, 666, 581, 18611, 593, 513, 1804, 4336, 267, 621, 666, 2047, 5372, 8093, 4492, 2030, 267, 9319, 519, 13674, 540, 8093, 10173, 585, 5201, 5108, 269, 634, 946, 540, 6046, 1648, 2221, 30417, 5434, 10199, 6697, 547, 9427, 835, 21017, 540, 782, 6517, 689, 519, 1158, 779, 9897, 563, 3674, 6046, 4642, 5434, 888, 3674, 6046, 1379, 513, 4642, 15041, 3827, 1648, 2707, 286, 3143, 269, 17437, 1648, 568, 849, 3743, 585, 8511, 3154, 5434, 269, 769, 1249, 267, 1100, 1648, 2707, 568, 4625, 1863, 540, 5434, 267, 855, 811, 593, 602, 2663, 563, 3963, 3085, 1406, 519, 2475, 946, 6046, 1379, 888, 13233, 3354, 269, 17437, 1379, 2371, 616, 513, 1761, 3077, 585, 22681, 4238, 269, 1323, 4323, 1223, 2014, 2101, 30762, 267, 8380, 2551, 7740, 693, 1981, 267, 607, 1134, 607, 30275, 532, 5906, 14599, 1570, 883, 519, 5790, 543, 4478, 3148, 563, 3963, 6046, 1379, 568, 519, 2104, 888, 301, 13086, 1379, 2488, 827, 476, 1015, 260, 540, 519, 1158, 779, 5201, 267, 543, 476, 1240, 260, 540, 5201, 538, 31232, 2477, 269, 20290, 782, 5359, 593, 2104, 1648, 3761, 689, 2101, 3906, 2303, 606, 2810, 1909, 585, 6046, 1379, 607, 606, 13476, 22480, 1259, 540, 6721, 6325, 5201, 593, 513, 1804, 4336, 563, 3963, 568, 6046, 1379, 2552, 7337, 658, 888, 302, 653, 7859, 2161, 602, 6046, 1379, 13514, 3875, 6937, 547, 1004, 543, 519, 1604, 543, 1448, 547, 2090, 538, 519, 3332, 602, 2243, 952, 621, 786, 2479, 581, 513, 4264, 1648, 2707, 269, 1452, 6937, 1331, 1072, 4220, 267, 10913, 543, 2825, 3441, 689, 20879, 5599, 267, 4393, 543, 3560, 269, 0, 1432, 568, 519, 3239, 1448, 540, 630, 277, 267, 276, 264, 1310, 519, 7004, 681, 17734, 4113, 476, 271, 570, 274, 267, 273, 888, 15987, 19936, 476, 1911, 1296, 3516, 2219, 789, 4718, 834, 4754, 1023, 257, 593, 23047, 267, 2592, 689, 7000, 666, 344, 976, 543, 5757, 3697, 3889, 602, 616, 2963, 602, 2627, 540, 23047, 538, 519, 3504, 2250, 269, 13485, 723, 2095, 539, 593, 519, 454, 278, 269, 5071, 634, 6516, 2982, 513, 1544, 585, 513, 4062, 540, 513, 5985, 269, 589, 5832, 786, 13793, 454, 5228, 519, 1298, 5514, 540, 519, 6906, 563, 4263, 1018, 10974, 1058, 519, 7376, 454, 3430, 778, 519, 5832, 888, 314, 23753, 316, 278, 269, 5071, 634, 6516, 2982, 513, 1544, 585, 513, 4062, 540, 513, 5985, 269, 589, 5832, 786, 13793, 689, 519, 1298, 5514, 522, 22535, 23753, 2639, 763, 568, 519, 835, 3815, 602, 666, 581, 26203, 676, 519, 4603, 518, 888, 13828, 533, 8140, 543, 15242, 723, 10645, 519, 737, 1662, 18029, 3148, 269, 713, 3510, 814, 8507, 538, 799, 540, 519, 1739, 4539, 888, 15916, 5225, 948, 7064, 9462, 30904, 454, 314, 23753, 316, 15916, 5225, 948, 7064, 2433, 264, 22535, 23753, 2639, 763, 1463, 630, 663, 1034, 6093, 264, 12119, 5163, 540, 519, 10785, 607, 4767, 689, 3618, 568, 2824, 835, 281, 513, 269, 7532, 547, 7178, 609, 2463, 547, 519, 4282, 6801, 269, 536, 269, 7532, 547, 7178, 693, 519, 1482, 2557, 607, 519, 4282, 6801, 269, 524, 269, 7178, 547, 7532, 609, 2463, 547, 519, 4282, 6801, 269, 546, 269, 5045, 547, 5087, 609, 2463, 547, 519, 4282, 6801, 269, 552, 269, 5087, 547, 5045, 609, 2463, 547, 519, 4282, 6801, 563, 20007, 3098, 971, 607, 6449, 1419, 5129, 513, 1463, 851, 538, 13321, 519, 5251, 540, 519, 8087, 2829, 538, 519, 476, 5197, 271, 338, 563, 5575, 547, 9096, 771, 11430, 878, 676, 324, 1608, 24742, 786, 1118, 2634, 569, 652, 1775, 7281, 13005, 18459, 1250, 865, 531, 547, 1832, 7485, 909, 1118, 782, 562, 1375, 553, 18053, 586, 1695, 708, 454, 16966, 547, 4401, 7626, 543, 5755, 838, 13899, 519, 1646, 540, 0, 7617, 835, 540, 519, 1739, 2982, 568, 690, 18081, 609, 1875, 9206, 749, 730, 13708, 26347, 888, 26668, 10806, 1062, 540, 8760, 6700, 676, 681, 13034, 269, 1733, 8636, 6033, 568, 711, 1759, 593, 912, 7617, 835, 540, 519, 1739, 13271, 3568, 26390, 514, 11077, 888, 19425, 2801, 321, 22160, 8428, 689, 552, 889, 22160, 538, 10778, 7617, 835, 540, 519, 1739, 568, 4636, 827, 4077, 320, 888, 7617, 540, 519, 1739, 568, 3743, 585, 24435, 5250, 888, 5522, 8809, 320, 543, 829, 545, 17369, 616, 1312, 17580, 13980, 538, 912, 2691, 519, 19114, 540, 694, 335, 1023, 610, 24968, 16937, 835, 1776, 1510, 1022, 1880, 4287, 267, 519, 2783, 568, 17941, 607, 912, 2791, 616, 2016, 513, 9425, 2025, 4062, 540, 546, 545, 582, 6565, 543, 513, 546, 545, 582, 3597, 269, 6904, 540, 519, 1739, 26715, 3889, 786, 596, 946, 547, 10646, 1063, 519, 1079, 888, 763, 23015, 5328, 7269, 540, 513, 1591, 6854, 538, 1216, 568, 30109, 14931, 676, 10778, 7617, 835, 540, 519, 1739, 6898, 568, 2953, 888, 307, 2350, 515, 1749, 8428, 689, 824, 30439, 776, 2609, 538, 912, 2304, 1383, 540, 17580, 11895, 11710, 568, 912, 7617, 3889, 1685, 519, 1599, 540, 26503, 538, 4551, 888, 763, 4396, 5276, 11118, 25063, 2609, 814, 8006, 540, 476, 277, 16354, 543, 1500, 909, 540, 513, 2582, 1826, 540, 1395, 9593, 616, 1634, 607, 912, 7628, 799, 5123, 4433, 264, 540, 1591, 4783, 267, 2179, 540, 5027, 538, 513, 1591, 3788, 693, 476, 275, 290, 1377, 952, 519, 3355, 2179, 568, 20922, 607, 476, 273, 290, 888, 7804, 269, 674, 269, 654, 550, 7074, 602, 952, 1071, 548, 9953, 850, 4388, 941, 6410, 543, 5116, 593, 31893, 585, 835, 5662, 267, 519, 31893, 1131, 3132, 513, 19755, 950, 5116, 593, 835, 2427, 540, 28448, 24408, 1071, 548, 9953, 850, 588, 7927, 269, 2986, 1018, 4644, 568, 713, 4603, 888, 9377, 11351, 2589, 540, 9436, 543, 11379, 616, 7298, 1101, 538, 10778, 1103, 799, 835, 540, 519, 1739, 3157, 2910, 8975, 480, 568, 711, 5950, 888, 2304, 2135, 4723, 545, 15591, 568, 8984, 540, 912, 288, 1906, 3339, 19155, 540, 16603, 941, 6854, 538, 513, 4158, 4055, 269, 2991, 513, 1906, 2395, 789, 941, 1336, 547, 723, 1831, 3043, 12258, 10696, 899, 11549, 16394, 269, 6904, 540, 519, 1739, 2474, 786, 596, 946, 547, 4766, 873, 888, 7617, 835, 540, 519, 1739, 2208, 22124, 568, 1634, 607, 2566, 9449, 888, 300, 1446, 13708, 564, 4451, 974, 609, 2547, 1297, 540, 1591, 568, 1459, 538, 10778, 272, 856, 540, 476, 275, 454, 2304, 14919, 4829, 568, 835, 799, 10953, 689, 912, 303, 18543, 14342, 616, 2139, 538, 519, 2344, 585, 912, 31262, 540, 2083, 6134, 17102, 568, 547, 10778, 15239, 17038, 321, 6058, 748, 6079, 568, 3812, 538, 912, 7617, 540, 519, 1739, 2982, 1071, 6150, 10717, 18843, 543, 11503, 727, 637, 888, 7617, 835, 540, 519, 1739, 568, 4636, 569, 20083, 888, 1805, 574, 1637, 540, 513, 4887, 6775, 676, 513, 5179, 22813, 4386, 693, 912, 1103, 329, 1722, 22297, 547, 519, 20968, 31726, 1131, 1034, 2693, 7519, 912, 7617, 835, 540, 519, 1739, 6898, 568, 711, 2953, 888, 26368, 519, 9449, 609, 922, 2953, 12805, 540, 2707, 543, 1599, 912, 293, 697, 11399, 1922, 2775, 6547, 2014, 11852, 540, 912, 763, 3838, 12363, 13811, 540, 519, 10285, 543, 17256, 1062, 538, 519, 1480, 5256, 568, 912, 763, 1292, 1599, 540, 27899, 24402, 561, 1393, 636, 568, 547, 3132, 10778, 15675, 519, 2953, 4781, 10503, 16891, 611, 582, 1886, 514, 2534, 538, 513, 3339, 9176, 4775, 10778, 1691, 11053, 889, 26618, 568, 513, 1505, 540, 10322, 16478, 538, 799, 912, 7617, 540, 519, 1739, 568, 513, 9449, 16089, 2271, 571, 772, 614, 710, 27620, 630, 296, 11070, 25145, 10112, 13554, 10285, 2029, 267, 10001, 293, 3322, 4483, 540, 10778, 13349, 569, 1031, 10321, 585, 1480, 11646, 15971, 616, 912, 288, 1480, 4775, 609, 20658, 1676, 781, 6794, 912, 20288, 3916, 2125, 540, 3032, 267, 561, 19123, 1031, 538, 6972, 282, 2062 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9940, 3595, 13485, 267, 855, 16561, 513, 1906, 4413, 525, 689, 513, 7382, 22902, 2636, 6576, 547, 4688, 25044, 993, 15879, 543, 29054, 269, 1656, 1732, 547, 4413, 513, 2603, 1510, 9561, 519, 3003, 7382, 982, 547, 1205, 513, 1906, 19754, 543, 4585, 519, 7382, 267, 543, 922, 6967, 993, 15879, 267, 9514, 909, 547, 513, 795, 320, 767, 514, 5734, 563, 4517, 6576, 1281, 946, 519, 13688, 538, 513, 3791, 267, 6140, 7382, 6438, 267, 1259, 269, 898, 29377, 986, 1749, 269, 23560, 865, 693, 21554, 543, 546, 23677, 7182, 18342, 3950, 619, 685, 2702, 547, 1294, 873, 269, 2334, 779, 950, 519, 7382, 543, 519, 19355, 2837, 616, 1034, 2147, 269, 634, 986, 1749, 3335, 1294, 513, 1507, 1895, 540, 13688, 2932, 513, 17500, 2196, 1996, 21977, 10136, 15914, 1055, 540, 519, 1899, 563, 7712, 519, 7708, 641, 32186, 635, 12393, 8878, 4971, 543, 1852, 267, 2656, 986, 1749, 1450, 6576, 547, 1205, 538, 543, 856, 269, 4340, 547, 681, 4785, 296, 267, 789, 1397, 909, 267, 3595, 782, 741, 993, 15879, 693, 9072, 540, 4316, 607, 3728, 607, 789, 666, 267, 543, 1287, 789, 9101, 563, 8170, 1576, 267, 519, 1689, 538, 12485, 6971, 855, 1281, 711, 9004, 21977, 6937, 1996, 6739, 13688, 269, 667, 14772, 666, 1869, 2879, 858, 856, 13688, 543, 1289, 25044, 1996, 873, 269, 1323, 2333, 538, 18229, 543, 15177, 19603, 20455, 7221, 1522, 1450, 12907, 547, 1981, 930, 4559, 10122, 1524, 6967, 6739, 13688, 563, 3719, 519, 7887, 3463, 2501, 689, 12907, 779, 4797, 8942, 547, 2759, 1055, 6739, 4229, 269, 570, 3471, 267, 1256, 6288, 539, 267, 991, 513, 2603, 540, 4492, 547, 2196, 741, 25852, 543, 824, 1949, 269, 1656, 789, 15069, 666, 1406, 5734, 4376, 1510, 993, 15879, 269, 1403, 12907, 5170, 547, 3970, 6739, 759, 6269, 569, 267, 2523, 676, 5248, 908, 519, 5045, 267, 621, 1223, 7001, 610, 3196, 6576, 547, 6861, 7366, 540, 13688, 269, 0, 305, 889, 828, 568, 1134, 1634, 607, 606, 1898, 1570, 269, 901, 2376, 331, 2491, 538, 1469, 1018, 568, 12285, 543, 875, 1082, 2010, 616, 972, 563, 1103, 17695, 2772, 540, 519, 1837, 267, 11676, 828, 630, 23210, 281, 1309, 719, 577, 537, 322, 264, 568, 513, 12249, 1570, 609, 1164, 7344, 4222, 543, 1164, 13412, 22775, 1464, 269, 769, 2474, 540, 621, 267, 610, 849, 1634, 607, 513, 3529, 5144, 267, 568, 513, 8465, 12249, 267, 799, 568, 5833, 689, 519, 18682, 540, 930, 2371, 610, 621, 666, 581, 812, 13402, 269, 634, 14713, 540, 621, 568, 5631, 13671, 538, 519, 14913, 630, 1320, 16233, 267, 17111, 267, 543, 12868, 1916, 3086, 12997, 267, 11676, 828, 568, 513, 13766, 1434, 538, 938, 2729, 267, 543, 922, 9403, 568, 3833, 513, 3810, 13412, 5214, 6219, 602, 666, 8831, 5216, 2053, 922, 3312, 3259, 269, 1358, 1336, 15244, 540, 3615, 1500, 689, 12285, 4054, 1614, 2929, 1296, 3516, 269, 769, 519, 2339, 540, 1249, 267, 1312, 723, 1082, 3156, 538, 2870, 2472, 971, 607, 18646, 267, 575, 2532, 1115, 267, 3092, 1421, 543, 723, 7930, 1831, 1271, 2804, 7031, 269, 1677, 581, 5018, 267, 835, 540, 519, 2462, 18563, 568, 513, 15513, 2144, 6471, 585, 9427, 519, 7436, 267, 799, 729, 1500, 689, 12285, 1310, 1373, 5189, 543, 1336, 538, 519, 5177, 563, 15650, 540, 11676, 828, 454, 305, 889, 828, 12851, 547, 519, 4874, 614, 335, 2940, 1826, 267, 609, 519, 7636, 4542, 630, 290, 276, 295, 279, 264, 333, 563, 20332, 12285, 13939, 689, 12285, 3735, 343, 269, 634, 12249, 1436, 5114, 5645, 856, 547, 1106, 568, 641, 16867, 609, 3592, 1100, 538, 7501, 269, 901, 7182, 513, 2773, 540, 621, 269, 3958, 267, 519, 8167, 540, 24379, 5595, 7554, 543, 5634, 23606, 538, 519, 12249, 1436, 540, 2067, 12285, 3735, 343, 568, 1869, 3908, 563, 6097, 547, 1346, 4128, 267, 519, 5175, 4754, 1436, 540, 12285, 814, 1044, 4824, 855, 29285, 519, 3601, 540, 2067, 12285, 616, 10169, 15176, 269, 769, 519, 3735, 343, 5627, 30691, 630, 3445, 268, 4817, 15992, 3940, 267, 4006, 267, 543, 9761, 3679, 18300, 267, 1039, 1035, 2045, 3679, 610, 9761, 3679, 547, 519, 3735, 343, 547, 1118, 519, 12285, 4903, 331, 558, 4733, 543, 5094, 689, 519, 3070, 269, 21984, 12285, 568, 5833, 676, 10296, 267, 2011, 1673, 3072, 610, 535, 636, 12720, 269, 7849, 12285, 568, 4874, 529, 641, 16867, 609, 513, 28250, 12122, 269, 667, 1132, 1520, 1127, 633, 568, 2571, 267, 519, 2067, 12285, 3362, 8992, 519, 2837, 540, 519, 18300, 563, 306, 24678, 12285, 568, 513, 2186, 540, 812, 13402, 5068, 609, 12701, 8665, 1599, 269, 1323, 13412, 6219, 568, 513, 6219, 4171, 7344, 3601, 616, 811, 11259, 547, 22636, 2604, 982, 1034, 824, 6878, 267, 543, 666, 1869, 2132, 547, 922, 3312, 3337, 269, 2060, 513, 7899, 540, 3156, 538, 4603, 267, 10991, 12285, 30283, 2067, 12285, 799, 4249, 513, 9120, 3601, 1909, 538, 12285, 2872, 454, 306, 24678, 12285, 729, 3812, 998, 513, 2582, 3613, 4450, 28198, 269, 26451, 568, 641, 16867, 630, 273, 2173, 14007, 268, 272, 267, 476, 274, 1532, 583, 611, 1329, 324, 1070, 476, 272, 267, 274, 1532, 583, 611, 1329, 324, 267, 543, 8392, 641, 16867, 630, 273, 7302, 3271, 334, 268, 272, 267, 476, 274, 1532, 583, 611, 1329, 324, 264, 543, 568, 984, 583, 22005, 630, 332, 996, 4412, 22005, 1040, 1772, 641, 16867, 568, 1031, 585, 519, 6871, 540, 5832, 7554, 269, 769, 1840, 267, 891, 2582, 3889, 1223, 581, 6404, 538, 513, 5551, 5223, 547, 3132, 2941, 8432, 1067, 1436, 267, 799, 2164, 538, 683, 641, 16867, 3889, 609, 1114, 2168, 267, 7344, 543, 3114, 3601, 563, 3528, 519, 2038, 476, 3422, 271, 338, 267, 519, 3977, 540, 10991, 12285, 1185, 25295, 602, 540, 2067, 12285, 269, 1703, 616, 1082, 2010, 540, 683, 641, 16867, 281, 4874, 529, 641, 16867, 630, 7644, 5148, 4874, 8117, 611, 1329, 324, 630, 10193, 1634, 607, 645, 10044, 12285, 28008, 19836, 5148, 18908, 16867, 1532, 583, 611, 1329, 324, 2941, 8432, 1067, 630, 289, 10044, 4149, 12285, 6763, 585, 590, 16576, 5148, 6599, 22005, 910, 10907, 25485, 2940, 2941, 8432, 1067, 630, 7968, 19699, 5148, 4874, 529, 984, 583, 22005, 630, 8117, 2643, 5148, 4874, 18608, 641, 16867, 630, 18608, 641, 16867, 267, 28484, 607, 10911, 5148, 1035, 787, 23127, 527, 686, 548, 1532, 583, 611, 1329, 324, 2941, 8432, 1067, 630, 27848, 686, 548, 12285, 5148, 4874, 659, 787, 17218, 4874, 675, 628, 2033, 630, 303, 308, 5148, 30713, 559, 2135, 2033, 630, 338, 32281, 821, 5148, 2560, 26421, 2186, 814, 922, 1378, 2930, 4162, 1813, 547, 519, 3017, 538, 922, 2497, 543, 3601, 269, 6270, 607, 267, 8125, 545, 821, 18300, 568, 513, 2487, 1164, 9740, 1317, 621, 814, 5393, 1164, 3002, 4187, 543, 4411, 4187, 563, 1103, 835, 2262, 267, 12285, 568, 3622, 1373, 4294, 538, 938, 2713, 8631, 543, 1373, 11215, 2326, 269, 1703, 616, 1079, 2010, 540, 621, 971, 607, 7849, 12285, 799, 616, 1031, 538, 20974, 816, 2504, 267, 32394, 640, 267, 2564, 2872, 267, 4070, 2872, 267, 28341, 269, 16522, 4854, 12285, 799, 568, 1031, 538, 11676, 828, 17029, 2401, 267, 13110, 267, 7344, 2872, 267, 28341, 269, 634, 2872, 1131, 4019, 621, 1759, 593, 922, 683, 641, 16867, 2934, 543, 4162, 547, 2490, 883, 513, 4062, 540, 1587, 563, 8139, 540, 16522, 4854, 12285, 538, 3178, 454, 288, 2110, 15415, 786, 581, 7396, 538, 1931, 547, 1174, 538, 3178, 540, 875, 16522, 4854, 12285, 2813, 543, 922, 4128, 269, 1677, 2253, 609, 538, 476, 6942, 280, 267, 645, 13224, 731, 339, 3812, 621, 538, 519, 8047, 998, 519, 12249, 1436, 540, 568, 641, 16867, 269, 2311, 602, 942, 267, 3703, 543, 4436, 3744, 2919, 824, 2409, 1063, 476, 4489, 271, 268, 4489, 273, 547, 3132, 15229, 689, 568, 641, 16867, 269, 5125, 568, 519, 1101, 2197, 547, 6707, 5010, 1125, 10991, 12285, 563, 11997, 267, 519, 1032, 540, 8868, 539, 6472, 814, 1044, 9250, 2094, 519, 476, 2735, 271, 338, 269, 634, 2360, 540, 12285, 3366, 547, 13497, 4957, 538, 3747, 269, 2859, 982, 602, 267, 2797, 2152, 849, 3361, 1804, 15088, 538, 519, 3902, 540, 621, 267, 8754, 13431, 272, 5949, 269, 2060, 519, 17732, 540, 715, 305, 267, 621, 23564, 547, 1164, 3747, 540, 10991, 12285, 269, 769, 519, 2013, 540, 645, 13224, 731, 339, 779, 2472, 267, 519, 2497, 540, 621, 568, 1114, 689, 922, 3312, 267, 799, 568, 1759, 593, 855, 611, 1329, 324, 12249, 1436, 269, 901, 1267, 3357, 689, 513, 8047, 1353, 676, 519, 6739, 10196, 5395, 613, 328, 2274, 5523, 5271, 269, 570, 650, 13431, 272, 729, 936, 267, 3744, 1185, 1500, 606, 8798, 540, 621, 3957, 645, 10044, 590, 892, 630, 560, 344, 16867, 1532, 583, 611, 1329, 324, 12285, 264, 547, 5372, 715, 305, 1310, 2324, 2182, 538, 3406, 540, 1007, 22804, 2326, 543, 1818, 3157, 269, 901, 1587, 568, 519, 7873, 839, 622, 540, 855, 611, 1329, 324, 543, 18908, 16867, 267, 799, 1631, 6589, 585, 3368, 540, 519, 2518, 10991, 12285, 2504, 563, 5194, 1974, 540, 942, 267, 2094, 476, 4572, 276, 267, 519, 3902, 540, 2067, 12285, 9782, 1586, 267, 799, 3361, 1082, 3549, 3459, 547, 3132, 10991, 12285, 2472, 547, 14526, 609, 2067, 12285, 2472, 269, 769, 519, 2136, 2276, 267, 519, 1445, 540, 10478, 568, 593, 5820, 602, 616, 1373, 6594, 3544, 540, 2342, 269, 774, 328, 758, 565, 3323, 9513, 683, 641, 16867, 538, 476, 4350, 271, 269, 8921, 1032, 267, 607, 519, 2164, 540, 715, 773, 17703, 1633, 8047, 267, 13660, 303, 2632, 849, 4421, 2147, 12285, 563, 7628, 24918, 267, 519, 3673, 1235, 6417, 3592, 782, 519, 2067, 12285, 3761, 2707, 538, 519, 1158, 7308, 5545, 7276, 13026, 5101, 5607, 267, 519, 2504, 540, 10991, 12285, 538, 519, 2136, 2276, 2799, 6385, 269, 16522, 4854, 12285, 729, 3812, 538, 4294, 1317, 540, 922, 3114, 4187, 269, 634, 1439, 540, 2112, 267, 519, 10991, 12285, 5663, 1184, 4797, 547, 10929, 11029, 9283, 563, 24400, 10991, 12285, 568, 1318, 11631, 6904, 3283, 649, 946, 7790, 286, 888, 763, 6284, 540, 4162, 543, 2934, 540, 10991, 12285, 568, 811, 3617, 547, 946, 538, 5663, 269, 898, 568, 849, 513, 2601, 1946, 8304, 2651, 1131, 3442, 22804, 547, 960, 593, 538, 519, 1184, 540, 2870, 513, 22302, 851, 540, 519, 7573, 1984, 3684, 269, 7324, 2824, 14273, 267, 649, 3442, 918, 636, 14833, 267, 513, 3056, 2754, 799, 814, 3812, 513, 1164, 7779, 10991, 12285, 538, 519, 12285, 543, 3114, 2872, 269, 14755, 267, 1813, 547, 938, 5756, 540, 1382, 543, 1646, 267, 715, 16576, 1131, 581, 513, 1390, 3903, 585, 721, 547, 960, 998, 513, 20100, 540, 7573, 16945, 269, 1703, 2421, 267, 585, 6225, 2427, 267, 938, 12285, 1587, 1223, 3986, 519, 6617, 543, 15006, 540, 12285, 2472, 936, 519, 1587, 1272, 4783, 950, 538, 946, 282, 5818, 909, 7573, 6556, 538, 513, 811, 3608, 1259, 543, 1447, 7745, 7573, 563, 13425, 856, 713, 2022, 585, 1732, 1620, 540, 7311, 10991, 12285, 538, 7573, 12285, 16945, 0, 6781, 6511, 667, 753, 10394, 744, 1721, 328, 2549, 1678, 11445, 1923, 5181, 476, 1428, 267, 476, 1708, 274, 454, 310, 8960, 513, 7990, 995, 19168, 1014, 25099, 267, 9400, 589, 2041, 25975, 15211, 998, 513, 1804, 3296, 540, 32761, 344, 2244, 12297, 1540, 609, 8933, 1141, 2146, 2818, 616, 9544, 22600, 17311, 19155, 547, 2149, 519, 5757, 3316, 802, 543, 3165, 269, 6004, 269, 589, 2041, 25975, 568, 23217, 8524, 532, 519, 22600, 17311, 19155, 646, 12630, 1927, 609, 535, 29913, 267, 3165, 332, 784, 619, 267, 543, 6705, 945, 4324, 689, 22600, 17311, 4054, 269, 1261, 3081, 602, 2146, 2818, 616, 1631, 3222, 540, 741, 5539, 547, 2259, 4264, 16276, 540, 22600, 549, 1407, 547, 18359, 519, 5757, 5117, 267, 543, 917, 602, 9544, 1007, 22600, 549, 1407, 2488, 1507, 3165, 609, 513, 2922, 1747, 547, 1332, 269, 1234, 8690, 532, 543, 11222, 22626, 22600, 549, 1407, 814, 5280, 6004, 269, 589, 2041, 25975, 30140, 267, 1312, 607, 513, 16027, 543, 513, 13278, 269, 1261, 6941, 267, 968, 300, 836, 549, 1407, 948, 547, 6882, 519, 1216, 649, 946, 585, 8105, 269, 634, 22600, 17311, 4054, 849, 3247, 1216, 689, 14700, 938, 11396, 3034, 2005, 779, 513, 31063, 6640, 267, 855, 519, 3141, 568, 890, 22701, 998, 519, 3001, 12269, 269, 769, 513, 7990, 995, 19168, 1014, 25099, 267, 9400, 589, 2041, 25975, 568, 6972, 998, 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 ]
[ 476, 275, 628, 5553, 269, 898, 6603, 922, 3803, 1106, 538, 4429, 290, 7517, 910, 8567, 454, 293, 592, 569, 4646, 1212, 2644, 1101, 2919, 585, 946, 538, 29080, 531, 32537, 543, 524, 622, 322, 16375, 454, 13318, 2315, 269, 1358, 3622, 1185, 1614, 6810, 7255, 609, 2696, 519, 12429, 267, 4429, 326, 617, 8001, 630, 14240, 267, 3778, 267, 1299, 10020, 994, 273, 2395, 3516, 3267, 3267, 585, 519, 3237, 952, 519, 3237, 2901, 616, 8572, 610, 10714, 547, 1683, 585, 519, 454, 516, 31437, 2866, 540, 519, 1126, 267, 538, 20106, 540, 29080, 531, 14767, 563, 763, 29080, 531, 13944, 729, 2356, 12354, 21192, 267, 1305, 9944, 513, 2531, 673, 524, 756, 528, 1756, 267, 610, 454, 4754, 4878, 267, 543, 1958, 597, 743, 539, 676, 9587, 543, 606, 5605, 17419, 1765, 10623, 2137, 602, 941, 1101, 4429, 289, 2194, 626, 27056, 632, 12142, 8402, 630, 21353, 514, 994, 763, 16935, 4607, 922, 2012, 538, 519, 476, 1240, 628, 2540, 543, 729, 865, 1572, 1317, 621, 454, 13195, 1031, 607, 519, 29080, 531, 13944, 585, 1896, 10424, 1453, 267, 1519, 8402, 2473, 7656, 563, 22146, 640, 910, 13507, 923, 281, 1212, 2644, 543, 21334, 687, 454, 1103, 476, 2735, 273, 519, 18321, 543, 11352, 8189, 540, 519, 2622, 7027, 540, 932, 11699, 454, 13440, 1758, 1242, 602, 519, 24347, 956, 262, 595, 7517, 729, 519, 29080, 531, 3090, 630, 920, 539, 264, 1031, 4429, 295, 8432, 14349, 630, 14532, 1299, 17325, 1734, 994, 763, 2038, 5939, 9976, 519, 1439, 540, 30766, 609, 1804, 29080, 531, 18428, 267, 855, 454, 1721, 1082, 5553, 1100, 2533, 941, 4371, 593, 10513, 14349, 538, 519, 5375, 4429, 301, 545, 564, 553, 540, 3816, 525, 10005, 454, 2108, 5938, 1546, 636, 3288, 644, 600, 639, 892, 5788, 968, 306, 1460, 7734, 540, 27491, 585, 19097, 1143, 531, 15443, 573, 919, 9731, 11357, 915, 338, 540, 1353, 269, 1209, 542, 540, 25598, 269, 12832, 564, 553, 540, 3816, 525, 10005, 267, 630, 4148, 712, 1639, 476, 276, 628, 3267, 0, 19445, 7221, 666, 581, 1257, 267, 2592, 267, 19180, 1344, 267, 610, 2123, 3959, 6740, 538, 513, 3059, 3898, 269, 7913, 7221, 666, 581, 6740, 593, 513, 2780, 267, 7746, 267, 5100, 6049, 267, 16979, 610, 824, 5907, 3926, 563, 2691, 649, 1589, 827, 3059, 7221, 267, 594, 993, 2386, 602, 1034, 540, 721, 666, 1589, 540, 693, 2547, 4557, 547, 8938, 1114, 2010, 540, 3059, 7221, 602, 596, 1378, 1318, 1631, 563, 19445, 7221, 1331, 2123, 7221, 971, 607, 552, 2173, 5661, 267, 11147, 267, 7044, 267, 2575, 543, 7044, 6740, 593, 513, 3758, 4687, 3896, 267, 610, 789, 666, 581, 3688, 6740, 593, 513, 2780, 267, 5100, 6049, 267, 610, 16979, 269, 1452, 849, 1331, 1514, 2923, 6589, 971, 607, 9365, 267, 12108, 267, 26964, 267, 543, 21912, 1103, 269, 1452, 7270, 849, 949, 2270, 6337, 267, 7044, 543, 824, 5907, 6119, 563, 19968, 5411, 267, 538, 1880, 1590, 581, 6297, 547, 4383, 741, 3059, 1870, 3959, 5402, 269, 901, 1826, 540, 3959, 2882, 2228, 6589, 10805, 547, 519, 1870, 267, 7221, 540, 606, 2228, 4558, 519, 1870, 21314, 267, 3377, 24393, 20478, 8638, 267, 543, 7817, 1344, 543, 7817, 1686, 269, 744, 1111, 550, 1307, 267, 891, 3059, 7221, 616, 519, 1272, 29188, 540, 519, 1870, 543, 538, 519, 2680, 540, 519, 2669, 540, 519, 8227, 267, 4213, 616, 538, 28855, 344, 540, 9561, 713, 1344, 269, 4935, 267, 621, 568, 1271, 547, 4383, 713, 1344, 269, 24371, 1590, 849, 3314, 547, 3950, 741, 6389, 4408, 269, 6884, 891, 6389, 4408, 666, 581, 3407, 952, 621, 568, 2344, 762, 610, 952, 621, 814, 1713, 1871, 547, 519, 1870, 269, 7053, 267, 621, 568, 2629, 602, 7214, 3959, 568, 7307, 267, 971, 607, 10677, 539, 3059, 2326, 267, 10805, 30931, 267, 543, 24977, 269, 1452, 1590, 581, 27424, 267, 607, 972, 616, 1419, 4170, 547, 5710, 707, 22028, 610, 9718, 513, 14664, 563, 5472, 540, 891, 7221, 723, 1945, 538, 1455, 267, 789, 1590, 581, 7307, 1310, 707, 2669, 865, 602, 707, 18689, 25808, 4309, 741, 2640, 610, 1870, 568, 2111, 547, 5265, 1599, 269, 634, 1101, 1900, 568, 547, 1711, 513, 1592, 540, 782, 540, 707, 3059, 7221, 543, 875, 547, 1569, 782, 540, 873, 269, 1452, 8638, 1058, 581, 3015, 547, 707, 24288, 3972, 2465, 543, 2312, 8846, 2016, 3823, 875, 596, 6999, 585, 873, 547, 581, 7856, 543, 1031, 269, 1635, 4058, 543, 12180, 713, 1344, 267, 596, 2327, 602, 891, 3407, 543, 540, 339, 550, 1307, 267, 2366, 14939, 7221, 616, 6870, 269, 0, 15507, 11778, 834, 300, 4680, 4840, 307, 523, 12700, 827, 519, 3883, 540, 25360, 916, 268, 5938, 24824, 574, 454, 1432, 568, 519, 2495, 540, 519, 2012, 540, 519, 3883, 540, 25360, 916, 286, 1215, 1082, 1004, 7768, 519, 1728, 332, 985, 538, 519, 1433, 286, 1656, 1018, 568, 519, 4276, 1063, 519, 1433, 540, 25360, 916, 543, 1744, 822, 340, 582, 888, 303, 1513, 1002, 590, 1335, 582, 910, 3487, 476, 272, 454, 3963, 1705, 15584, 267, 519, 5260, 1640, 540, 519, 6014, 1004, 1332, 909, 538, 519, 19289, 540, 519, 3751, 540, 5527, 286, 1215, 1281, 15584, 2746, 950, 646, 12034, 513, 8284, 4035, 1373, 29041, 286, 15887, 6798, 3131, 331, 2006, 20205, 11121, 4030, 547, 713, 3018, 781, 6712, 454, 306, 1335, 582, 910, 3487, 476, 273, 454, 1432, 8007, 1705, 519, 4571, 342, 1161, 4309, 585, 9494, 519, 2729, 540, 519, 6014, 1453, 286, 15887, 6798, 18087, 17839, 8843, 4514, 4030, 547, 519, 12558, 540, 15584, 6456, 538, 519, 11127, 538, 519, 20407, 454, 8505, 5782, 30008, 540, 17194, 454, 1692, 1058, 594, 2232, 519, 1739, 2243, 281, 4208, 666, 1406, 621, 581, 602, 1614, 8536, 1296, 3516, 267, 930, 14834, 22516, 5206, 519, 22560, 20801, 543, 5143, 1010, 14930, 602, 646, 729, 519, 1152, 20276, 656, 540, 513, 2112, 602, 7166, 519, 3003, 6014, 1004, 6306, 689, 1864, 267, 610, 5795, 1776, 7778, 3823, 519, 1964, 540, 519, 1004, 267, 26759, 13536, 593, 267, 1851, 873, 941, 1004, 945, 1572, 2933, 28556, 267, 1500, 10617, 267, 3092, 269, 713, 568, 606, 7778, 585, 782, 540, 519, 15456, 4681, 540, 519, 15438, 540, 519, 5600, 540, 6424, 2223, 3092, 563, 303, 1513, 1002, 715, 6308, 822, 574, 13305, 599, 324, 850, 577, 910, 3487, 476, 275, 910, 15584, 685, 7831, 4303, 454, 3963, 1705, 17018, 515, 15887, 324, 514, 340, 1032, 333, 547, 4283, 519, 8092, 540, 5840, 286, 13028, 1018, 17018, 515, 15887, 324, 514, 340, 1705, 593, 519, 2063, 1554, 540, 1010, 1272, 543, 875, 962, 12317, 9655, 7699, 3576, 936, 519, 5718, 540, 519, 6014, 1004, 454, 303, 1513, 1002, 715, 6308, 822, 574, 13305, 599, 324, 850, 577, 910, 3487, 476, 272, 910, 15584, 1299, 5840, 454, 1432, 781, 519, 4644, 540, 519, 1249, 602, 713, 6712, 568, 6026, 547, 519, 6014, 1004, 593, 519, 2063, 1554, 540, 17018, 515, 781, 1272, 267, 593, 519, 8473, 540, 519, 8092, 540, 5840, 286, 6258, 4909, 4245, 585, 1272, 689, 519, 29807, 3873, 454, 8005, 568, 2808, 513, 9406, 15667, 7324, 519, 8315, 888, 1432, 568, 519, 4214, 540, 513, 9406, 15667, 7324, 519, 8315, 286, 8307, 835, 945, 8952, 519, 5722, 25424, 728, 4031, 888, 4537, 531, 558, 267, 1772, 621, 1482, 2696, 538, 2025, 6492, 618, 543, 2696, 538, 1007, 6492, 618, 286, 7490, 31799, 803, 952, 1775, 2307, 713, 2243, 267, 782, 1775, 1616, 547, 917, 568, 827, 513, 5168, 269, 594, 2731, 1616, 547, 917, 827, 2696, 538, 2025, 6492, 618, 269, 11289, 9767, 454, 763, 13669, 31053, 1449, 5809, 547, 15887, 6798, 13019, 10216, 779, 30493, 538, 22560, 676, 11341, 602, 950, 15584, 19424, 539, 15887, 6798, 13019, 10216, 267, 646, 1767, 547, 717, 1673, 267, 834, 2467, 568, 971, 513, 1268, 538, 2659, 1158, 543, 1411, 1616, 519, 22560, 2016, 676, 803, 8119, 0, 2026, 513, 3056, 3750, 4387, 538, 28641, 267, 649, 1294, 2550, 1169, 1554, 609, 782, 5933, 543, 2175, 540, 522, 4788, 1072, 269, 16685, 1072, 568, 606, 1271, 851, 540, 2713, 513, 2635, 543, 16180, 1272, 269, 2755, 1082, 540, 721, 917, 513, 3099, 540, 2081, 547, 1491, 1416, 540, 824, 2694, 540, 938, 1560, 899, 938, 10772, 267, 9224, 267, 543, 6091, 267, 649, 949, 711, 581, 607, 1134, 2613, 539, 538, 875, 547, 1416, 585, 938, 4064, 269, 18641, 267, 3220, 269, 31291, 808, 269, 590, 2896, 267, 11022, 267, 7193, 568, 1934, 547, 2709, 596, 513, 1906, 2067, 2081, 602, 596, 666, 1246, 547, 1416, 585, 707, 4064, 563, 763, 11957, 540, 16685, 5516, 454, 7312, 5075, 568, 835, 540, 707, 1034, 1271, 12823, 269, 1323, 6059, 476, 3199, 260, 540, 3388, 596, 13498, 568, 998, 707, 8289, 269, 3414, 7863, 543, 12391, 585, 707, 4064, 267, 649, 666, 3970, 741, 8458, 540, 2469, 9420, 610, 7680, 1022, 5075, 2530, 269, 1411, 666, 849, 2569, 519, 8458, 540, 3384, 3750, 3676, 899, 29847, 543, 25942, 9711, 269, 3502, 1152, 602, 267, 855, 1434, 5075, 8309, 547, 707, 1272, 538, 811, 2081, 982, 596, 1522, 8275, 269, 2659, 4064, 543, 707, 2634, 616, 703, 2954, 5532, 267, 543, 676, 5329, 707, 4064, 2635, 596, 2461, 5329, 707, 2634, 2635, 269, 3502, 1152, 602, 267, 1434, 5075, 666, 948, 596, 2087, 707, 18942, 1983, 267, 1118, 596, 513, 10930, 9920, 267, 543, 2327, 602, 596, 723, 606, 4443, 942, 1565, 543, 8026, 1007, 1983, 563, 3383, 875, 666, 596, 1416, 585, 707, 4064, 6923, 286, 2913, 779, 1491, 513, 1413, 563, 5319, 2809, 606, 16685, 6363, 7037, 10791, 454, 27269, 950, 649, 1589, 540, 2732, 532, 267, 649, 3335, 12314, 621, 609, 938, 2597, 543, 2295, 1072, 269, 634, 5168, 568, 267, 513, 9867, 2732, 666, 849, 1832, 707, 4064, 2635, 269, 1635, 4189, 513, 2732, 2407, 540, 10477, 19787, 543, 5613, 267, 596, 2461, 5356, 707, 1560, 519, 6775, 621, 2115, 547, 3500, 519, 10338, 540, 8501, 543, 14836, 269, 3509, 540, 519, 2371, 538, 513, 2635, 2732, 616, 3638, 538, 14434, 543, 4550, 2987, 10075, 14898, 269, 29759, 899, 3109, 11241, 267, 10027, 1845, 267, 30207, 267, 543, 21536, 11241, 616, 669, 1442, 268, 21459, 540, 14434, 543, 1973, 6077, 7794, 619, 269, 11569, 267, 2090, 2303, 602, 513, 2362, 6981, 540, 14434, 267, 13058, 267, 543, 1898, 9761, 7408, 899, 15060, 268, 274, 1223, 948, 547, 6175, 519, 1981, 540, 31004, 23979, 563, 8253, 2386, 1018, 547, 1331, 538, 707, 1007, 3750, 7888, 2732, 286, 6333, 4946, 3536, 899, 891, 547, 707, 2834, 10624, 912, 268, 16639, 609, 1164, 15060, 268, 274, 1543, 899, 13687, 267, 27966, 267, 543, 522, 1176, 3165, 563, 268, 6348, 24578, 520, 5946, 899, 5798, 267, 10808, 267, 543, 10365, 563, 268, 23516, 344, 16719, 899, 25989, 267, 2458, 1841, 267, 543, 22156, 563, 268, 13022, 6350, 5613, 543, 23238, 971, 607, 24453, 543, 561, 1307, 563, 7476, 29615, 12930, 12619, 454, 2171, 782, 917, 602, 28349, 3750, 4743, 950, 649, 1810, 1406, 1205, 2614, 3207, 269, 3807, 899, 938, 4703, 543, 938, 12058, 267, 707, 4064, 991, 2614, 3207, 547, 948, 873, 7816, 543, 11177, 2933, 1169, 1554, 269, 2755, 3025, 2115, 1114, 5666, 540, 3207, 1142, 1554, 547, 1745, 1964, 539, 543, 26016, 1242, 267, 621, 779, 3335, 6700, 602, 596, 1205, 476, 278, 547, 476, 1015, 3108, 540, 3207, 1169, 3781, 269, 5525, 723, 1336, 602, 3670, 610, 7864, 3108, 540, 3207, 3781, 569, 666, 1291, 547, 513, 3099, 540, 1072, 2152, 269, 769, 6935, 547, 707, 4064, 267, 3207, 22975, 666, 723, 513, 3099, 540, 2427, 2360, 267, 609, 930, 1373, 7646, 1247, 1866, 1373, 4049, 563, 2304, 5667, 4774, 2427, 1198, 540, 3207, 22975, 568, 519, 4527, 540, 4158, 10580, 896, 707, 4064, 269, 9453, 7850, 3207, 267, 596, 949, 5469, 602, 707, 4064, 1413, 25858, 344, 610, 723, 11435, 267, 799, 1118, 596, 1413, 4587, 543, 811, 13110, 269, 3958, 267, 596, 949, 5469, 707, 22442, 1749, 838, 553, 2719, 543, 1000, 26677, 2429, 519, 1554, 269, 901, 666, 1118, 621, 2352, 547, 1445, 593, 4247, 899, 960, 610, 6117, 269, 6271, 25031, 2427, 1198, 568, 2348, 3819, 267, 15072, 344, 267, 1973, 3333, 582, 4064, 269, 3502, 1152, 616, 3819, 4064, 11213, 543, 8886, 908, 267, 855, 789, 616, 711, 19149, 730, 2614, 547, 3251, 2635, 269, 901, 666, 1291, 547, 2799, 1769, 8417, 610, 23324, 5075, 269, 3683, 942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 853, 269, 8834, 781, 547, 10646, 621, 689, 519, 1459, 5939, 267, 729, 5393, 9565, 538, 2663, 10120, 6189, 563, 2005, 568, 5156, 547, 723, 3710, 593, 519, 3135, 540, 519, 19746, 540, 853, 269, 8834, 267, 519, 9030, 1167, 2118, 540, 2441, 543, 519, 1101, 21674, 540, 7507, 269, 29760, 593, 519, 19772, 540, 853, 269, 8834, 538, 519, 3284, 572, 540, 519, 5939, 267, 6196, 853, 269, 8834, 781, 1058, 581, 9286, 607, 513, 12004, 344, 8922, 607, 10353, 547, 513, 2146, 5939, 269, 898, 568, 713, 1599, 602, 814, 3366, 547, 519, 7778, 540, 519, 1007, 11265, 1106, 649, 1289, 519, 17464, 572, 696, 799, 7436, 519, 3444, 7852, 547, 519, 562, 1511, 269, 634, 3444, 17887, 540, 519, 562, 1511, 543, 17464, 572, 696, 4847, 585, 519, 5834, 540, 3007, 593, 519, 19772, 540, 8834, 269, 898, 568, 1271, 547, 4063, 602, 267, 4352, 713, 1106, 786, 581, 3592, 8471, 538, 2663, 10120, 5939, 4566, 267, 519, 17464, 572, 696, 729, 1152, 1336, 1282, 713, 1974, 693, 519, 13039, 540, 853, 269, 8834, 781, 543, 853, 269, 6754, 781, 538, 7507, 563, 2419, 328, 7304, 14833, 13507, 630, 763, 932, 337, 1143, 517, 994, 1607, 3504, 1395, 6945, 540, 2441, 1101, 7902, 538, 519, 2038, 476, 274, 6113, 2540, 543, 666, 581, 2938, 16826, 539, 593, 3504, 11113, 267, 695, 3658, 267, 31238, 543, 3875, 1568, 540, 1148, 543, 1820, 269, 634, 3090, 568, 6508, 689, 519, 1101, 1079, 5022, 630, 2419, 328, 267, 10910, 334, 264, 540, 519, 5259, 960, 2473, 303, 2975, 307, 8016, 267, 630, 13731, 657, 1070, 2495, 2441, 563, 1607, 3090, 540, 513, 3165, 814, 1044, 2404, 609, 8567, 585, 519, 1655, 851, 540, 1079, 27453, 269, 898, 568, 1500, 909, 540, 2947, 5259, 5022, 799, 1118, 909, 519, 2262, 2048, 292, 2131, 1492, 525, 685, 799, 18922, 883, 2296, 607, 519, 2262, 2048, 293, 880, 17483, 10376, 540, 519, 5022, 538, 713, 6450, 639, 4564, 513, 2027, 2495, 547, 519, 2048, 9799, 268, 28785, 685, 4168, 281, 634, 1101, 4564, 519, 2012, 2048, 27716, 685, 799, 538, 5259, 568, 14733, 2048, 296, 525, 748, 9957, 634, 2034, 4484, 6763, 585, 2048, 13731, 657, 8730, 799, 568, 519, 5259, 1106, 540, 519, 6014, 2262, 2048, 300, 612, 11672, 8730, 799, 18922, 883, 2296, 607, 2048, 25486, 31212, 2290, 9957, 634, 3791, 4484, 4564, 519, 5259, 2262, 2048, 763, 537, 8730, 799, 18922, 607, 2048, 18661, 685, 610, 2048, 1993, 2696, 9957, 634, 8772, 4484, 6763, 585, 2048, 308, 3930, 685, 543, 18922, 607, 2048, 306, 517, 9957, 634, 2063, 4484, 4564, 519, 5259, 2262, 2048, 3383, 1774, 518, 685, 910, 2495, 2048, 306, 822, 21831, 9957, 634, 2407, 2495, 540, 519, 519, 3003, 5259, 2262, 18922, 4061, 267, 607, 2048, 27716, 2441, 267, 12312, 540, 2696, 267, 14205, 21831, 20371, 763, 23758, 568, 513, 3090, 950, 3627, 23837, 2073, 945, 4330, 2441, 607, 2485, 357, 1492, 23758, 540, 2696, 7536, 7628, 519, 2034, 543, 3791, 454, 1417, 3753, 267, 513, 4168, 1131, 711, 2721, 513, 4605, 540, 4906, 593, 519, 3444, 269, 634, 454, 29589, 729, 1869, 1932, 12404, 748, 513, 4641, 547, 1331, 621, 538, 1148, 269, 1717, 267, 835, 1522, 454, 5408, 513, 15616, 7304, 14833, 267, 519, 28008, 540, 519, 2262, 2441, 657, 630, 3847, 1916, 19602, 267, 10271, 941, 9446, 532, 4906, 607, 519, 1434, 1352, 23311, 563, 30860, 602, 538, 891, 2592, 267, 4906, 568, 6719, 607, 513, 581, 14177, 6107, 2921, 1416, 540, 519, 26600, 563, 763, 6698, 763, 4191, 543, 6698, 649, 1265, 13556, 538, 519, 23906, 1723, 525, 267, 27485, 593, 519, 18899, 26878, 15047, 328, 543, 1793, 11274, 267, 543, 31960, 593, 519, 6821, 540, 519, 3032, 659, 558, 2125, 782, 4308, 609, 519, 22344, 5132, 267, 1256, 1498, 930, 6698, 616, 3144, 2047, 689, 519, 25384, 27132, 563, 26123, 4529, 6068, 519, 946, 540, 6698, 547, 2769, 2093, 269, 634, 890, 659, 1442, 585, 519, 533, 698, 753, 729, 519, 3090, 540, 18163, 1272, 269, 1717, 267, 711, 782, 519, 533, 698, 753, 3838, 519, 2856, 540, 606, 1310, 5158, 267, 543, 585, 1346, 945, 1705, 267, 621, 729, 835, 6531, 539, 538, 9814, 543, 20386, 538, 513, 14692, 344, 1158, 540, 2116, 2579, 269, 623, 12298, 1148, 9244, 9356, 713, 2587, 340, 880, 267, 799, 729, 513, 5075, 540, 1928, 543, 28194, 563, 763, 10271, 7550, 519, 3090, 540, 519, 890, 659, 1442, 267, 855, 2919, 513, 4514, 2495, 269, 5221, 540, 31694, 267, 519, 2116, 2579, 540, 2669, 729, 23545, 539, 676, 519, 11802, 540, 2441, 781, 24446, 269, 634, 890, 659, 1442, 4061, 2968, 519, 3090, 540, 519, 18163, 1272, 540, 519, 9997, 563, 763, 798, 557, 6719, 519, 4708, 543, 8788, 540, 519, 9997, 267, 1247, 519, 19671, 6719, 4126, 538, 4906, 563, 15228, 2513, 338, 1419, 941, 513, 10282, 540, 811, 982, 835, 2856, 269, 634, 19671, 568, 606, 1383, 269, 1635, 922, 1360, 6198, 2470, 267, 621, 4564, 519, 2093, 540, 6617, 267, 3354, 267, 543, 4126, 1317, 621, 25495, 519, 2922, 12625, 540, 519, 6928, 693, 2823, 1310, 513, 829, 559, 748, 3460, 693, 4262, 563, 3528, 7432, 519, 19671, 26700, 1524, 267, 519, 19967, 4484, 25526, 308, 729, 4646, 267, 543, 519, 834, 307, 257, 11696, 1194, 519, 3337, 540, 519, 595, 4629, 7704, 269, 4935, 519, 13513, 540, 519, 19671, 729, 23353, 676, 713, 3606, 3693, 269, 16593, 538, 4906, 6719, 519, 5150, 2823, 540, 6428, 14010, 267, 799, 3357, 827, 998, 3571, 16961, 32267, 542, 543, 24446, 563, 763, 3165, 729, 5310, 519, 5172, 22344, 3090, 267, 543, 649, 4063, 519, 17381, 540, 922, 2495, 563, 763, 13400, 543, 25384, 2686, 4282, 729, 1586, 1271, 538, 519, 1646, 540, 519, 3090, 563, 763, 1715, 11620, 705, 2432, 609, 8100, 547, 3165, 269, 1284, 11291, 2441, 10213, 1010, 20785, 646, 786, 1118, 873, 535, 29913, 540, 2367, 269, 1496, 294, 13620, 540, 15623, 267, 932, 269, 275, 2357, 269, 866, 316, 634, 3165, 4061, 2968, 519, 3090, 540, 519, 4168, 269, 1261, 729, 10710, 538, 519, 2121, 540, 519, 22258, 3377, 840, 3737, 676, 519, 29940, 19980, 956, 563, 763, 1034, 1271, 1448, 3823, 519, 3090, 540, 519, 3165, 568, 602, 538, 5259, 519, 2262, 3165, 729, 2854, 607, 834, 2975, 295, 8025, 22076, 2668, 1703, 616, 1082, 20887, 602, 519, 4168, 1031, 519, 2262, 3165, 607, 513, 5728, 3009, 610, 10957, 269, 634, 2262, 3165, 729, 711, 513, 5728, 3009, 267, 855, 2864, 4646, 606, 1035, 549, 10973, 267, 799, 729, 513, 6093, 8106, 2511, 540, 6965, 676, 799, 519, 5022, 540, 513, 2262, 941, 10288, 547, 1106, 513, 8360, 267, 610, 13030, 17930, 269, 769, 713, 2013, 649, 666, 19794, 1224, 519, 19967, 2262, 585, 3165, 912, 10376, 4484, 538, 519, 2262, 3165, 4646, 513, 2262, 269, 634, 2495, 540, 1142, 19967, 2262, 4646, 676, 519, 5022, 594, 6224, 8025, 22076, 616, 912, 307, 2586, 607, 606, 1035, 549, 10973, 267, 519, 19967, 2262, 585, 3165, 9715, 513, 1360, 7096, 2495, 585, 519, 22344, 269, 634, 8360, 1224, 281, 4906, 2441, 267, 12312, 540, 2696, 267, 14205, 21831, 269, 898, 729, 519, 18642, 3841, 334, 267, 519, 4909, 2376, 540, 5132, 1317, 621, 24704, 519, 24396, 9759, 519, 3020, 1246, 518, 540, 2441, 729, 1572, 547, 2024, 563, 763, 1148, 540, 24463, 568, 519, 2241, 7718, 908, 540, 513, 2627, 609, 1507, 267, 9425, 2834, 267, 15768, 4773, 540, 2182, 1570, 267, 1305, 5702, 1927, 543, 6378, 538, 1747, 609, 606, 23287, 269, 634, 2165, 834, 332, 6242, 545, 257, 568, 4294, 1312, 547, 519, 1184, 543, 547, 513, 6192, 960, 563, 763, 9998, 19821, 923, 7902, 538, 22300, 2053, 538, 27859, 607, 513, 16560, 8825, 8720, 585, 519, 829, 27720, 3141, 1673, 3072, 15839, 6189, 269, 4563, 267, 3043, 543, 2699, 12166, 18305, 3413, 12089, 547, 9587, 609, 10036, 18969, 723, 1044, 4362, 538, 606, 772, 745, 330, 11454, 693, 966, 1046, 320, 267, 6580, 547, 519, 8772, 26992, 645, 5861, 269, 630, 520, 519, 744, 14979, 628, 657, 14155, 725, 1916, 14503, 3233, 19821, 923, 616, 811, 7839, 982, 3774, 19821, 923, 269, 769, 2038, 19821, 923, 519, 2326, 1031, 941, 1507, 4773, 540, 18574, 610, 18899, 610, 4773, 540, 7745, 6149, 1634, 607, 834, 22455, 1129, 1756, 2437, 799, 941, 1305, 883, 513, 27341, 1500, 689, 18654, 269, 7216, 6272, 540, 19821, 923, 941, 3622, 1759, 593, 519, 2786, 1899, 267, 855, 2663, 519, 7252, 941, 4988, 609, 20077, 267, 13306, 11057, 18899, 4773, 563, 15900, 1568, 10268, 2241, 4778, 267, 855, 2663, 2699, 267, 3039, 543, 586, 749, 3298, 941, 3773, 547, 519, 3109, 6823, 22554, 4282, 269, 15043, 689, 12166, 5546, 267, 3615, 267, 2831, 543, 3425, 941, 5249, 883, 519, 6272, 563, 14503, 3233, 19821, 923, 12090, 538, 519, 3504, 11335, 1158, 267, 1141, 2241, 890, 321, 1076, 19683, 941, 9788, 538, 11511, 974, 1282, 519, 17623, 32665, 5736, 269, 634, 2259, 4797, 883, 519, 27705, 6520, 267, 1312, 538, 11511, 974, 543, 519, 538, 519, 29901, 523, 2801, 534, 5493, 2167, 593, 519, 5259, 22163, 563, 14503, 3233, 19821, 923, 540, 1769, 543, 4158, 890, 6277, 956, 941, 13401, 538, 519, 21632, 2540, 645, 5861, 269, 538, 6239, 26277, 16288, 781, 717, 867, 542, 269, 16869, 569, 11251, 543, 1305, 267, 789, 4646, 2241, 1750, 322, 651, 1042, 3270, 563, 1103, 1840, 547, 1346, 1336, 538, 11894, 267, 1082, 24077, 1806, 540, 890, 321, 1076, 19821, 923, 666, 581, 2938, 538, 10255, 267, 693, 18603, 267, 29833, 267, 5548, 12978, 543, 10493, 807, 267, 693, 623, 7578, 538, 24765, 8205, 543, 20615, 600, 333, 639, 593, 519, 19129, 569, 6929, 5032, 543, 538, 7763, 5984, 538, 24558, 1176, 267, 607, 1134, 607, 538, 23509, 543, 24131, 563, 5194, 1826, 540, 24463, 267, 23608, 538, 5527, 267, 568, 1572, 834, 302, 16476, 2357, 6193, 592, 23628, 257, 543, 729, 1101, 4294, 1152, 547, 9925, 749, 2044, 543, 8323, 960, 269, 15020, 1507, 4773, 540, 18899, 538, 1585, 5546, 855, 799, 941, 3622, 17031, 267, 19610, 909, 609, 1350, 18968, 17375, 543, 4837, 6353, 540, 713, 1826, 540, 960, 269, 5455, 547, 476, 736, 4773, 829, 1298, 9014, 941, 1031, 269, 1452, 666, 3362, 581, 3379, 609, 519, 7206, 540, 519, 1554, 563, 300, 6242, 923, 3262, 2429, 519, 4936, 16899, 267, 543, 2027, 3506, 540, 519, 1148, 941, 1336, 538, 4000, 267, 717, 4954, 267, 4436, 807, 543, 16850, 269, 769, 519, 20850, 5736, 267, 3774, 19821, 923, 2968, 519, 2067, 9148, 540, 18899, 3774, 3382, 902, 563, 763, 19821, 923, 835, 9060, 538, 11894, 616, 689, 519, 4936, 267, 5259, 543, 20850, 5712, 269, 4936, 543, 5259, 19821, 923, 616, 3622, 1336, 538, 519, 4165, 752, 5984, 3148, 267, 4352, 789, 616, 849, 11402, 538, 8828, 26277, 16288, 543, 519, 32363, 613, 534, 3148, 563, 300, 6242, 923, 1500, 689, 11954, 10007, 2356, 6813, 2367, 267, 2021, 543, 2831, 538, 29631, 10207, 543, 616, 3622, 11303, 676, 513, 12166, 8473, 269, 634, 1655, 1806, 540, 20850, 19821, 923, 538, 11894, 616, 1336, 538, 594, 30955, 781, 670, 698, 807, 20153, 807, 267, 519, 5783, 540, 519, 14205, 1640, 538, 519, 932, 7702, 543, 538, 519, 674, 996, 328, 6614, 7467, 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 ]
[ 1957, 865, 602, 782, 13742, 616, 10710, 607, 2592, 543, 3838, 609, 3025, 538, 519, 1895, 11065, 4265, 513, 9931, 547, 281, 5352, 3584, 547, 2328, 827, 267, 25690, 5220, 267, 1507, 8090, 267, 4277, 21371, 2807, 2690, 741, 851, 267, 3610, 1131, 581, 1134, 6039, 547, 2689, 3503, 4270, 609, 5616, 9022, 338, 17074, 543, 6430, 799, 616, 1655, 585, 2875, 946, 269, 9616, 602, 621, 568, 849, 2009, 547, 7662, 513, 10959, 269, 15152, 968, 7049, 4733, 22276, 892, 568, 513, 3095, 602, 5012, 547, 606, 2228, 7662, 1106, 269, 2467, 616, 1079, 4909, 2994, 513, 4116, 1223, 11654, 538, 3478, 1053, 547, 946, 519, 10959, 1543, 269, 0, 18439, 3464, 543, 7855, 616, 1210, 7851, 267, 735, 13293, 543, 2027, 24195, 602, 666, 7639, 476, 2004, 1532, 601, 578, 25179, 5210, 547, 1921, 2825, 2152, 609, 918, 268, 1321, 1053, 2066, 519, 8608, 563, 1607, 3018, 7436, 519, 14736, 4752, 540, 519, 7045, 1565, 1982, 968, 7883, 3345, 256, 11848, 2817, 13812, 25083, 476, 1220, 277, 3034, 763, 1982, 267, 799, 3322, 476, 12010, 16506, 3506, 543, 476, 274, 267, 1822, 3506, 11451, 267, 20205, 606, 2228, 6437, 10704, 593, 519, 19178, 540, 3282, 3408, 543, 519, 3406, 585, 7791, 2200, 1247, 15385, 4081, 10459, 563, 17206, 7548, 26826, 1684, 1359, 568, 519, 1982, 779, 2069, 8689, 269, 1261, 1767, 602, 1247, 23712, 609, 1053, 543, 3610, 2661, 538, 519, 2228, 1565, 1604, 267, 606, 16939, 2319, 786, 3561, 922, 4681, 547, 948, 1053, 1174, 3270, 540, 2916, 1689, 563, 763, 3486, 2319, 540, 2367, 543, 2021, 786, 7832, 593, 513, 476, 10384, 28902, 3460, 2066, 519, 1325, 2532, 534, 11848, 676, 5243, 1194, 1247, 12419, 547, 13460, 5001, 513, 918, 268, 1321, 2228, 6437, 563, 2710, 1359, 1767, 519, 2319, 538, 14522, 786, 1683, 3232, 543, 12353, 13009, 5359, 563, 3891, 1767, 519, 13009, 5359, 267, 6337, 543, 3381, 616, 15222, 1242, 609, 519, 3506, 685, 21195, 563, 10527, 8404, 585, 3610, 543, 1053, 568, 3478, 547, 1451, 689, 1483, 8996, 2833, 2223, 1684, 1359, 1767, 563, 2710, 1359, 1767, 519, 2319, 786, 2445, 1239, 543, 5967, 14522, 7264, 585, 543, 1996, 3282, 17656, 267, 1865, 2518, 8337, 543, 875, 741, 2729, 723, 4957, 936, 519, 1296, 607, 513, 1267, 563, 1607, 1382, 568, 5342, 538, 5698, 609, 8331, 543, 519, 8433, 540, 21069, 15789, 693, 519, 2817, 3163, 7690, 543, 568, 4547, 883, 519, 4928, 676, 1291, 3610, 563, 22117, 3610, 899, 631, 1157, 16803, 1489, 519, 1646, 540, 519, 1982, 543, 2404, 1382, 543, 23793, 563, 5445, 7119, 538, 3872, 19014, 267, 4928, 11925, 543, 21141, 11401, 10223, 519, 3872, 2200, 1282, 741, 7029, 563, 295, 15071, 1767, 7045, 1565, 814, 513, 1390, 1747, 538, 2221, 779, 4928, 563, 2108, 2026, 938, 23348, 1205, 4130, 543, 4130, 267, 713, 568, 519, 1985, 1655, 454, 2251, 547, 3478, 856, 538, 519, 2361, 2223, 646, 1767, 269, 968, 7212, 4986, 666, 5372, 1373, 538, 519, 2361, 267, 938, 1053, 991, 547, 1995, 519, 1382, 543, 3408, 2170, 1947, 3034, 22117, 4116, 15593, 2643, 595, 831, 1767, 2502, 1453, 547, 2648, 2542, 267, 2979, 267, 2257, 543, 1514, 2090, 666, 581, 513, 4161, 563, 892, 2048, 7883, 3345, 256, 685, 568, 835, 540, 519, 1906, 1863, 3872, 2228, 1565, 3292, 602, 22613, 782, 4081, 10459, 2223, 1352, 1767, 267, 968, 663, 568, 2966, 865, 602, 513, 1101, 17263, 1126, 610, 2937, 786, 1265, 18399, 3034, 297, 27889, 9445, 590, 23124, 267, 849, 513, 1291, 4116, 267, 1767, 646, 12034, 519, 1982, 607, 513, 8115, 8220, 4529, 267, 11585, 543, 2257, 563, 10527, 6909, 3178, 540, 519, 5680, 3135, 543, 6437, 12777, 3947, 803, 519, 4960, 547, 1683, 19957, 1565, 3255, 2223, 646, 1767, 269, 0, 1103, 8349, 20837, 267, 14889, 267, 595, 2106, 628, 807, 631, 1188, 9519, 543, 29861, 5459, 4406, 1372, 345, 3231, 2740, 6168, 6496, 10435, 11146, 21079, 13262, 454, 29590, 568, 875, 519, 2634, 543, 1560, 4431, 547, 1022, 3747, 630, 11754, 2109, 9615, 1040, 7102, 1826, 540, 2591, 1276, 607, 4398, 693, 960, 610, 1153, 267, 513, 8101, 1272, 1689, 267, 610, 513, 1253, 7675, 2680, 4754, 581, 14053, 269, 570, 3290, 666, 1860, 707, 1072, 630, 27802, 766, 2422, 13081, 1040, 898, 568, 1898, 547, 2628, 3007, 547, 875, 596, 4308, 609, 1507, 543, 2101, 2566, 2188, 267, 865, 596, 917, 950, 547, 1413, 585, 5351, 563, 9336, 7853, 2833, 2566, 689, 942, 547, 942, 269, 1703, 616, 1114, 2010, 540, 2566, 718, 540, 799, 4163, 2168, 543, 2790, 1072, 12178, 269, 589, 2566, 528, 949, 581, 513, 835, 6066, 610, 2110, 3856, 10071, 267, 610, 621, 666, 2049, 14578, 936, 513, 1360, 1279, 942, 269, 2368, 1004, 949, 11883, 609, 8082, 811, 6707, 543, 9156, 689, 2352, 14026, 811, 3533, 982, 1866, 563, 307, 3290, 3812, 676, 606, 23589, 2942, 14842, 267, 971, 607, 9561, 513, 4305, 267, 16028, 267, 610, 1072, 1966, 910, 4039, 8985, 10644, 269, 3004, 9964, 8082, 4810, 2429, 606, 8317, 971, 607, 513, 1713, 8009, 267, 2112, 267, 4323, 267, 610, 2067, 31685, 1141, 2043, 1522, 581, 538, 3463, 540, 1373, 12517, 10413, 610, 7166, 630, 11754, 2109, 9615, 264, 630, 27802, 766, 2422, 13081, 1040, 15706, 945, 1995, 15265, 2566, 949, 723, 1360, 13347, 1154, 4090, 776, 3929, 543, 2168, 2589, 267, 855, 1034, 9156, 6923, 3533, 1310, 563, 1103, 513, 13818, 9183, 267, 8082, 6786, 519, 1560, 547, 5965, 547, 3068, 513, 9651, 610, 2196, 2476, 547, 3354, 630, 11073, 18345, 9615, 264, 630, 11073, 18345, 15789, 1040, 769, 891, 7653, 267, 707, 13942, 2656, 839, 267, 596, 13236, 18334, 267, 707, 6091, 13029, 267, 543, 707, 2634, 3096, 811, 5135, 543, 4679, 2534, 718, 3252, 6322, 693, 6668, 543, 538, 3210, 547, 8082, 269, 769, 1875, 3734, 18446, 7653, 267, 2566, 666, 18663, 1004, 267, 971, 607, 950, 789, 2154, 547, 1491, 513, 1449, 610, 5967, 585, 513, 1007, 2816, 910, 7731, 10657, 563, 10303, 519, 2707, 540, 1279, 18835, 8082, 568, 811, 5812, 982, 4049, 2566, 267, 519, 1560, 2760, 2479, 4991, 513, 2312, 5365, 547, 979, 1394, 547, 2834, 8647, 910, 9615, 5358, 269, 2060, 5312, 2566, 267, 1346, 3169, 1482, 12468, 3058, 6114, 538, 519, 1560, 666, 7519, 519, 4761, 267, 9667, 267, 9025, 267, 3207, 267, 543, 10285, 1949, 630, 21675, 5358, 1040, 4934, 18345, 15789, 910, 20409, 12542, 269, 2368, 1004, 1522, 1995, 3622, 12536, 2589, 267, 1247, 1866, 1522, 723, 14331, 267, 19492, 20439, 1145, 267, 18354, 267, 10845, 267, 610, 16698, 563, 297, 984, 267, 1920, 2818, 267, 6666, 543, 3347, 666, 782, 9594, 4160, 269, 15742, 569, 267, 930, 2959, 540, 2566, 616, 3274, 17149, 269, 3807, 875, 798, 596, 3715, 3811, 2409, 950, 2566, 568, 17116, 547, 581, 32612, 518, 596, 286, 3367, 713, 2376, 547, 4137, 856, 1018, 596, 666, 798, 1996, 707, 8082, 563, 10673, 1405, 1577, 707, 4664, 3489, 4420, 1194, 909, 269, 4855, 513, 1259, 547, 5305, 873, 607, 1134, 607, 596, 4465, 1405, 1745, 607, 14129, 856, 269, 2368, 2043, 2731, 1745, 1732, 1310, 2011, 532, 5887, 547, 513, 14609, 344, 267, 1866, 899, 547, 3346, 1205, 741, 17915, 856, 269, 1403, 596, 2811, 8909, 267, 3956, 585, 513, 3787, 269, 1403, 596, 2811, 14220, 267, 2119, 11495, 513, 5309, 4221, 9126, 585, 513, 1906, 25008, 269, 1403, 707, 4664, 5749, 1405, 1373, 15513, 909, 267, 596, 786, 711, 581, 607, 14129, 856, 563, 21430, 26134, 15361, 543, 849, 5329, 873, 538, 1201, 1872, 525, 786, 2709, 596, 835, 1454, 1447, 3364, 547, 2566, 7282, 256, 9861, 9505, 856, 540, 707, 15335, 610, 6174, 666, 6861, 707, 2898, 1554, 865, 1544, 6619, 607, 1134, 607, 723, 513, 7008, 540, 838, 4100, 1500, 543, 849, 10710, 5402, 547, 2057, 1373, 12758, 269, 1452, 1360, 2653, 8945, 786, 6157, 4688, 596, 942, 607, 1134, 607, 4688, 519, 2566, 543, 4160, 540, 2348, 547, 21898, 609, 621, 2336, 1103, 1931, 547, 2226, 707, 4160, 4110, 896, 1852, 267, 3801, 1603, 606, 5393, 23877, 610, 2892, 20160, 4484, 593, 1957, 602, 13847, 1169, 835, 540, 707, 26490, 4369, 4938, 958, 269, 3509, 1004, 1745, 1454, 1732, 1310, 1620, 621, 676, 1603, 621, 856, 269, 8073, 607, 1498, 18864, 786, 2479, 1354, 1224, 621, 267, 607, 1134, 607, 2328, 607, 9244, 607, 2009, 269, 22859, 514, 621, 4625, 26063, 563, 15307, 28344, 606, 14751, 566, 610, 513, 15028, 3948, 602, 666, 3142, 7772, 547, 707, 1272, 950, 596, 616, 14129, 269, 1635, 5918, 2364, 908, 519, 14751, 566, 596, 723, 2965, 2813, 267, 596, 666, 8709, 638, 880, 602, 8801, 6418, 3391, 602, 513, 2603, 540, 540, 721, 1995, 950, 896, 4160, 269, 1411, 786, 1745, 1454, 1732, 952, 596, 9846, 26134, 602, 596, 666, 2731, 1745, 22471, 559, 607, 1134, 607, 596, 666, 1745, 1454, 1732, 563, 5825, 720, 18854, 543, 17254, 326, 1782, 547, 4894, 707, 2566, 950, 2009, 269, 4014, 621, 568, 711, 2141, 519, 1655, 942, 267, 952, 596, 666, 2638, 856, 519, 14053, 9183, 689, 513, 1114, 21169, 543, 1294, 519, 18854, 538, 621, 267, 621, 786, 6157, 948, 8897, 519, 2566, 543, 4160, 540, 621, 269, 4634, 952, 596, 666, 711, 12398, 519, 9644, 538, 513, 2352, 25896, 267, 2119, 547, 2015, 606, 5140, 24983, 610, 16168, 1650, 602, 596, 19557, 547, 543, 713, 786, 4217, 3648, 563, 4504, 13656, 11605, 568, 606, 8912, 3210, 547, 8082, 269, 18729, 17406, 267, 513, 29287, 14815, 540, 15353, 610, 13481, 267, 607, 1134, 607, 1256, 13542, 609, 17594, 666, 581, 938, 1560, 781, 21286, 5114, 547, 4160, 269, 3687, 4476, 519, 4110, 540, 4160, 596, 616, 2731, 4743, 607, 1134, 607, 2589, 971, 607, 891, 786, 6157, 2356, 581, 7494, 1447, 2989, 610, 1256, 642, 4314, 7357, 2336, 6624, 2043, 3605, 10970, 2747, 538, 4568, 543, 5061, 950, 789, 666, 1405, 1491, 1416, 540, 4160, 269, 1452, 2409, 1152, 2709, 4090, 776, 10970, 2747, 585, 1346, 602, 946, 873, 269, 15850, 267, 17089, 267, 607, 1134, 607, 824, 5061, 786, 711, 4368, 707, 2152, 269, 9453, 513, 8969, 267, 789, 616, 811, 2693, 547, 635, 12393, 707, 1272, 1256, 2417, 982, 789, 616, 547, 2232, 707, 2566, 543, 4160, 2042, 563, 2252, 1945, 568, 5538, 17331, 596, 14156, 267, 621, 568, 1898, 547, 1450, 782, 540, 621, 856, 267, 799, 786, 6157, 4196, 547, 1942, 6954, 596, 540, 519, 8082, 602, 596, 616, 3142, 269, 5620, 513, 1434, 3956, 267, 607, 596, 1590, 1397, 519, 4664, 602, 596, 616, 4743, 547, 1118, 2386, 602, 596, 798, 711, 1832, 873, 593, 519, 1369, 607, 1134, 607, 1745, 1256, 8338, 563, 2414, 2569, 2566, 267, 1851, 519, 1271, 1919, 602, 596, 666, 798, 568, 20053, 513, 1726, 6362, 3460, 609, 707, 14609, 625, 269, 901, 786, 581, 1390, 585, 707, 1560, 607, 1134, 607, 2285, 596, 519, 5626, 1065, 4471, 557, 602, 596, 991, 269, 3958, 267, 596, 786, 581, 856, 538, 519, 782, 5991, 1823, 19069, 267, 799, 786, 1683, 5393, 22196, 29278, 563, 1103, 3932, 267, 972, 616, 3875, 1919, 538, 1272, 602, 786, 6157, 9594, 8082, 267, 543, 513, 1906, 540, 873, 666, 711, 581, 15286, 269, 1403, 596, 1118, 946, 540, 519, 5796, 6035, 547, 596, 267, 596, 949, 12398, 602, 621, 568, 15164, 547, 6175, 707, 2566, 563, 2252, 596, 1491, 4052, 3268, 547, 6023, 707, 8082, 267, 596, 1522, 2569, 519, 8594, 540, 2942, 1072, 5222, 269, 3371, 616, 930, 4388, 602, 1522, 948, 596, 547, 11883, 609, 8082, 281, 31158, 1578, 519, 23053, 540, 707, 1560, 781, 2962, 547, 2566, 267, 971, 607, 1966, 12008, 267, 2799, 4568, 543, 824, 7623, 946, 267, 1373, 3533, 3352, 622, 267, 4743, 20158, 267, 543, 2348, 1970, 1648, 269, 28548, 2422, 13081, 269, 0, 13981, 4934, 2492, 4433, 264, 8178, 539, 912, 18698, 519, 1764, 540, 2528, 593, 513, 3401, 7145, 454, 1692, 6947, 1983, 1764, 540, 707, 7145, 607, 513, 26064, 454, 20373, 540, 12143, 912, 1607, 7084, 9388, 609, 519, 4161, 540, 3056, 2066, 4529, 269, 1411, 786, 723, 547, 5635, 543, 4334, 707, 2528, 609, 602, 540, 2576, 689, 1776, 11782, 1369, 519, 1362, 269, 1411, 786, 798, 513, 2407, 10324, 5967, 609, 519, 2875, 8204, 519, 2528, 596, 786, 991, 547, 2328, 713, 5967, 909, 269, 1411, 786, 1287, 2328, 513, 476, 273, 267, 1822, 2262, 1557, 593, 519, 4161, 540, 3056, 538, 707, 2528, 267, 519, 4161, 538, 3056, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11305, 2020, 8253, 2386, 875, 547, 2769, 621, 538, 2474, 540, 519, 1587, 554, 325, 780, 273, 269, 3967, 476, 1839, 267, 476, 1001, 277, 692, 2162, 16065, 281, 22895, 528, 692, 8196, 524, 284, 16575, 325, 689, 519, 4143, 4834, 286, 0, 258, 3687, 30093, 2040, 540, 7060, 692, 11693, 513, 1305, 540, 562, 10321, 513, 10983, 267, 594, 993, 3843, 547, 1265, 513, 6152, 1535, 547, 7413, 519, 4082, 1923, 320, 318, 272, 14870, 347, 317, 335, 266, 347, 320, 318, 273, 14870, 347, 317, 335, 266, 347, 320, 318, 274, 14870, 347, 317, 335, 266, 2507, 266, 347, 320, 5332, 14870, 347, 317, 335, 267, 1141, 533, 568, 3152, 982, 476, 272, 780, 296, 993, 2348, 8373, 609, 1603, 713, 2040, 4082, 538, 20956, 343, 16105, 269, 16393, 2576, 2491, 1018, 568, 4636, 609, 519, 3009, 2630, 286, 769, 519, 3009, 594, 2119, 547, 3355, 1125, 476, 276, 476, 1428, 343, 272, 10321, 538, 3732, 267, 543, 2119, 547, 1265, 519, 2953, 1871, 540, 1535, 780, 338, 2217, 815, 28219, 263, 1428, 267, 276, 11850, 335, 284, 272, 269, 276, 16963, 29764, 343, 318, 8218, 454, 19702, 762, 1535, 263, 1428, 994, 2381, 4476, 263, 2040, 9638, 578, 7272, 263, 11274, 4433, 2217, 14870, 1070, 335, 4297, 12467, 29764, 343, 318, 754, 692, 338, 2217, 910, 1535, 568, 711, 10155, 958, 5812, 282, 602, 568, 513, 630, 1428, 676, 476, 276, 264, 5119, 14263, 513, 630, 276, 676, 476, 272, 264, 6152, 269, 4746, 267, 1923, 320, 318, 272, 14870, 347, 317, 335, 3085, 1406, 1256, 1118, 2631, 950, 1535, 568, 513, 6152, 267, 711, 513, 22185, 269, 12344, 596, 1616, 533, 2343, 547, 519, 533, 628, 1379, 540, 513, 318, 272, 910, 1535, 26042, 763, 1101, 1900, 568, 585, 596, 547, 4137, 856, 1018, 28879, 1018, 596, 1616, 267, 543, 621, 1590, 581, 10155, 958, 5812, 269, 1411, 666, 10691, 1118, 946, 538, 22008, 311, 540, 519, 1007, 12588, 4330, 538, 4179, 2517, 4565, 9233, 269, 4118, 4103, 2593, 15828, 648, 333, 270, 1001, 277, 270, 1015, 270, 2190, 270, 3901, 18350, 268, 541, 10379, 7721, 335, 1343, 2987, 8573, 1001, 277, 321, 270, 16317, 12552, 585, 519, 16253, 256, 8786, 267, 594, 729, 15691, 547, 7413, 519, 533, 17884, 1063, 519, 513, 318, 529, 543, 1535, 267, 865, 13466, 320, 318, 272, 14870, 1475, 266, 1475, 320, 318, 273, 14870, 1475, 266, 1475, 320, 318, 274, 14870, 1475, 266, 2507, 266, 1475, 320, 5332, 14870, 1475, 269, 594, 723, 8373, 7487, 875, 547, 798, 713, 1210, 20956, 343, 780, 2252, 533, 815, 476, 272, 610, 476, 273, 267, 596, 666, 946, 513, 1360, 11741, 543, 6152, 1242, 6388, 1384, 332, 815, 476, 1428, 282, 562, 284, 476, 276, 3248, 338, 2217, 324, 815, 28219, 9852, 19885, 11850, 335, 815, 476, 273, 3248, 29764, 343, 318, 8218, 454, 19702, 762, 1535, 9852, 994, 2381, 4476, 4433, 636, 3799, 768, 338, 4433, 2217, 324, 3146, 335, 3901, 3287, 267, 272, 19885, 1070, 335, 21875, 29764, 343, 318, 754, 692, 2080, 568, 513, 811, 1490, 1393, 3196, 1259, 799, 786, 960, 585, 1022, 533, 13843, 476, 272, 780, 335, 815, 476, 273, 282, 4939, 533, 815, 476, 272, 269, 276, 849, 1568, 267, 1256, 533, 815, 1102, 454, 29764, 343, 318, 8218, 454, 19702, 762, 1535, 9852, 994, 11917, 329, 815, 476, 271, 3248, 1721, 1775, 815, 476, 272, 281, 333, 454, 11917, 329, 815, 5136, 329, 1341, 2343, 4433, 2217, 324, 263, 281, 267, 328, 9984, 343, 28872, 5148, 3248, 754, 454, 2381, 4476, 263, 11917, 329, 994, 29764, 343, 318, 754, 692, 2690, 533, 815, 272, 610, 476, 273, 267, 1312, 3292, 960, 267, 543, 585, 519, 1482, 8216, 2747, 540, 3732, 324, 267, 3132, 519, 1482, 2164, 267, 1369, 10230, 10892, 692, 2690, 1022, 533, 13843, 476, 272, 630, 8117, 711, 1102, 1070, 596, 1223, 3079, 1118, 707, 6662, 581, 519, 2040, 540, 2343, 317, 335, 676, 4657, 454, 11917, 329, 815, 5136, 329, 1341, 2343, 4433, 2217, 324, 263, 281, 267, 328, 9984, 343, 28872, 11850, 514, 519, 476, 273, 526, 4528, 547, 454, 11917, 329, 815, 5136, 329, 1341, 4073, 29223, 3799, 768, 4433, 2217, 324, 263, 281, 267, 328, 9984, 343, 28872, 1070, 335, 32007, 272, 6145, 0, 1428, 267, 28794, 267, 14695, 2818, 454, 9209, 2873, 1315, 4937, 14691, 1315, 27122, 454, 20007, 673, 18248, 454, 16829, 476, 2537, 4239, 476, 1708, 271, 692, 277, 269, 279, 298, 5784, 454, 275, 1433, 5658, 539, 692, 30791, 5384, 3487, 819, 1107, 589, 8422, 10158, 590, 5902, 692, 31948, 803, 912, 30791, 6066, 15652, 281, 589, 7941, 1299, 20630, 1759, 5542, 5690, 454, 2080, 267, 649, 3801, 547, 4194, 1210, 12430, 6066, 15652, 5690, 547, 2057, 3063, 21986, 531, 4882, 10628, 269, 2060, 513, 3989, 22141, 267, 649, 5302, 26021, 519, 1239, 780, 30791, 6066, 15652, 568, 513, 2387, 15965, 728, 1299, 20630, 319, 1759, 5542, 5690, 269, 2060, 621, 267, 1239, 568, 8237, 883, 1614, 2516, 1210, 513, 22141, 780, 32621, 1384, 2304, 7533, 851, 540, 2387, 30022, 23037, 319, 5690, 799, 3096, 713, 15652, 532, 7954, 16571, 1947, 269, 2353, 519, 2609, 4130, 982, 519, 22141, 616, 2322, 593, 835, 2427, 543, 782, 519, 3677, 3283, 593, 519, 824, 2427, 540, 519, 22141, 780, 13436, 547, 519, 4901, 540, 25674, 14691, 267, 713, 5690, 4249, 593, 6061, 2387, 11357, 3491, 21793, 319, 547, 4194, 1950, 1966, 780, 2704, 326, 3596, 332, 692, 8070, 8939, 519, 22141, 267, 12430, 6066, 15652, 6296, 24508, 519, 1239, 883, 1614, 2516, 609, 2418, 1384, 1892, 1447, 982, 519, 22141, 454, 1892, 3160, 547, 519, 22141, 454, 1892, 3152, 982, 519, 22141, 692, 23744, 267, 713, 5690, 568, 2944, 538, 1747, 269, 901, 2164, 538, 13148, 18570, 519, 1239, 269, 1703, 616, 19625, 540, 2042, 602, 1118, 1109, 2224, 540, 713, 1249, 267, 899, 1384, 1892, 23037, 606, 5044, 602, 3568, 1152, 476, 271, 338, 267, 476, 272, 338, 1299, 476, 273, 338, 454, 1892, 10656, 3084, 9206, 1966, 454, 1892, 7179, 782, 2942, 9981, 4553, 676, 2318, 585, 606, 5044, 2407, 540, 873, 454, 1892, 7179, 782, 476, 271, 338, 1101, 543, 1287, 476, 272, 338, 610, 13030, 268, 951, 320, 585, 606, 5044, 609, 1152, 476, 271, 338, 1299, 476, 272, 338, 454, 1892, 8844, 782, 519, 476, 271, 338, 547, 519, 1439, 4509, 3448, 1931, 540, 824, 2609, 585, 606, 5044, 540, 9981, 454, 32621, 1384, 2252, 2944, 856, 540, 1747, 267, 630, 328, 4318, 269, 711, 4657, 519, 3312, 1239, 1070, 621, 1131, 1942, 2387, 302, 3799, 23375, 3606, 2230, 692, 7078, 692, 4131, 779, 1491, 606, 1383, 540, 281, 4990, 606, 5044, 602, 3568, 1152, 476, 271, 338, 267, 476, 272, 338, 1299, 476, 273, 338, 692, 5575, 2219, 585, 971, 1966, 568, 547, 1685, 513, 1293, 540, 476, 271, 338, 267, 476, 272, 338, 543, 476, 273, 338, 269, 4495, 649, 723, 519, 12523, 267, 19268, 519, 5044, 609, 873, 269, 9282, 621, 814, 942, 6988, 2387, 302, 3799, 264, 12452, 621, 3217, 1079, 21986, 1023, 540, 519, 5044, 610, 3096, 606, 3063, 5044, 780, 19350, 568, 606, 3801, 547, 4194, 1210, 12430, 6066, 15652, 5690, 547, 2057, 602, 3063, 21986, 531, 4882, 10628, 780, 23911, 454, 3499, 3698, 1614, 310, 599, 8512, 819, 10490, 2187, 11034, 815, 4571, 815, 476, 271, 454, 754, 815, 7003, 10490, 9984, 272, 692, 258, 5581, 513, 623, 643, 582, 454, 335, 643, 582, 815, 476, 272, 692, 6112, 630, 13232, 10922, 1439, 2187, 258, 4571, 3693, 568, 1447, 982, 22141, 454, 258, 1699, 3693, 568, 476, 271, 692, 258, 865, 13071, 1847, 621, 547, 1376, 454, 258, 1699, 1376, 568, 1434, 563, 258, 1847, 1376, 547, 1985, 3693, 454, 258, 1847, 4571, 547, 1985, 3693, 547, 1847, 4464, 454, 604, 630, 288, 314, 13232, 316, 2999, 22141, 264, 10778, 1873, 777, 10490, 267, 1376, 267, 4571, 994, 11034, 815, 1376, 1341, 476, 272, 454, 13232, 815, 4571, 1341, 476, 272, 692, 258, 4571, 3693, 568, 811, 982, 22141, 454, 258, 1699, 3693, 568, 476, 273, 692, 258, 865, 13071, 1847, 621, 547, 1439, 454, 258, 1699, 1439, 568, 1434, 563, 258, 1847, 1439, 547, 3105, 3693, 454, 19197, 630, 288, 314, 13232, 316, 3436, 22141, 264, 10778, 1873, 777, 10490, 267, 4571, 267, 1439, 994, 754, 815, 1439, 910, 476, 272, 692, 258, 4571, 3693, 568, 1482, 607, 22141, 454, 258, 1699, 3693, 568, 476, 272, 692, 258, 1175, 1847, 4464, 912, 258, 4571, 547, 1985, 3693, 454, 12828, 10778, 13232, 815, 4571, 1341, 476, 272, 692, 258, 4210, 777, 1079, 2609, 589, 5157, 316, 543, 589, 14728, 316, 538, 519, 1592, 454, 3698, 23396, 10490, 267, 1775, 267, 795, 2187, 288, 5157, 3910, 589, 14728, 316, 815, 589, 14728, 3910, 589, 5157, 6540, 258, 16294, 606, 5044, 454, 6358, 26161, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 273, 6540, 258, 11910, 519, 12430, 6066, 15652, 6296, 454, 22764, 310, 599, 8512, 819, 9272, 26161, 2020, 258, 1820, 519, 3803, 1267, 454, 2745, 9272, 26161, 2020, 258, 19243, 338, 454, 258, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 273, 316, 7884, 4415, 513, 3989, 22141, 267, 649, 5302, 27935, 519, 1239, 593, 2901, 2427, 799, 8507, 538, 5551, 3977, 269, 10656, 4182, 9206, 1966, 610, 8228, 782, 2942, 1101, 543, 1287, 2318, 267, 610, 8228, 782, 476, 271, 338, 1101, 5205, 519, 1482, 3009, 780, 2690, 3001, 782, 476, 271, 338, 547, 1439, 4509, 824, 2609, 1931, 267, 649, 798, 513, 17408, 752, 538, 23396, 4994, 547, 2226, 1931, 1384, 23911, 454, 3499, 3698, 1614, 310, 599, 8512, 819, 10490, 2187, 9690, 815, 476, 271, 454, 12061, 14706, 815, 476, 271, 454, 754, 815, 7003, 10490, 9984, 272, 692, 258, 5581, 513, 623, 643, 582, 454, 335, 643, 582, 815, 476, 271, 692, 6112, 630, 9690, 10922, 1439, 2187, 604, 630, 288, 314, 9690, 316, 11203, 22141, 264, 10778, 1873, 777, 10490, 267, 1699, 267, 1875, 14706, 994, 12061, 14706, 815, 1875, 14706, 1341, 476, 272, 454, 9690, 815, 1699, 1341, 476, 272, 692, 258, 4210, 777, 1079, 2609, 589, 5157, 316, 543, 589, 14728, 316, 538, 519, 1592, 454, 3698, 23396, 10490, 267, 1775, 267, 795, 2187, 288, 5157, 3910, 589, 14728, 316, 815, 589, 14728, 3910, 589, 5157, 6540, 258, 16294, 606, 5044, 454, 6358, 26161, 815, 1496, 278, 267, 271, 267, 276, 267, 272, 267, 273, 267, 271, 267, 273, 267, 271, 267, 277, 6540, 258, 11910, 519, 12430, 6066, 15652, 6296, 454, 22764, 310, 599, 8512, 819, 9272, 26161, 2020, 258, 1820, 519, 3803, 1267, 454, 2745, 9272, 26161, 2020, 258, 19243, 454, 258, 1496, 278, 267, 476, 276, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 277, 267, 476, 271, 267, 476, 271, 267, 476, 271, 316, 7884, 4467, 14658, 640, 692, 4415, 519, 1657, 5690, 1935, 267, 649, 12193, 938, 1966, 609, 5384, 6988, 2387, 302, 3799, 23375, 1299, 6611, 6988, 2387, 302, 263, 272, 23375, 630, 5976, 2582, 21986, 531, 540, 519, 5044, 6393, 2005, 729, 1187, 6061, 256, 780, 24309, 1635, 454, 19425, 3538, 2271, 3726, 3127, 454, 19328, 692, 288, 3301, 3318, 585, 811, 982, 476, 1704, 266, 1296, 2679, 3435, 585, 5680, 543, 30325, 9008, 3156, 780, 25387, 2324, 693, 2271, 3726, 3127, 780, 2171, 2125, 924, 281, 6258, 1635, 6184, 697, 454, 294, 603, 889, 281, 9995, 324, 788, 631, 1168, 4673, 0, 258, 8525, 281, 294, 745, 526, 326, 548, 747, 684, 2102, 630, 300, 1074, 22603, 1040, 323, 329, 341, 340, 270, 3066, 692, 514, 799, 519, 2609, 11886, 519, 6935, 12276, 6234, 535, 3709, 16223, 13157, 268, 325, 3709, 327, 330, 3686, 8961, 568, 1572, 606, 20367, 5119, 269, 1452, 1894, 2161, 602, 519, 1098, 12723, 5119, 12276, 6234, 11513, 8663, 2715, 325, 3686, 15871, 325, 23201, 3973, 676, 12276, 6234, 535, 3867, 265, 22288, 786, 581, 519, 12242, 267, 20367, 5119, 692, 630, 3374, 264, 12276, 6234, 535, 3867, 15857, 7807, 3847, 347, 3189, 8218, 15204, 2410, 764, 764, 348, 271, 267, 261, 325, 3709, 4097, 9574, 261, 325, 3709, 5655, 9574, 261, 325, 3709, 2537, 27874, 325, 3709, 6246, 9574, 261, 271, 267, 261, 325, 3709, 1691, 9574, 261, 325, 3709 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18229, 269, 634, 10848, 540, 6046, 1379, 267, 3106, 267, 543, 519, 4540, 4398, 540, 6671, 8484, 27668, 1949, 723, 3366, 547, 3908, 4052, 1646, 540, 6046, 14617, 27858, 563, 258, 333, 13086, 12741, 1948, 333, 16197, 13873, 1458, 1948, 12741, 14749, 1948, 19491, 3740, 12741, 1948, 333, 13086, 342, 4292, 1948, 24479, 18080, 1948, 30236, 24479, 1948, 29514, 342, 9879, 1948, 13582, 24479, 1948, 325, 3241, 1948, 325, 3241, 23748, 1948, 338, 7739, 1464, 1948, 1515, 8154, 1948, 1515, 21622, 454, 2026, 540, 1631, 267, 4013, 2959, 723, 711, 3177, 1344, 593, 25096, 610, 519, 2014, 540, 519, 16154, 563, 19770, 779, 6820, 8648, 814, 3365, 7596, 539, 6751, 3525, 328, 779, 4914, 3609, 4640, 543, 3127, 779, 9687, 2518, 588, 1155, 454, 21607, 514, 849, 1767, 602, 6576, 568, 11815, 1881, 602, 5103, 519, 2518, 24187, 267, 519, 2078, 1063, 1715, 16156, 543, 18293, 814, 1044, 3356, 532, 27261, 958, 563, 12606, 519, 918, 4157, 340, 29482, 4804, 2561, 13017, 281, 8894, 261, 2422, 595, 19281, 517, 8943, 281, 717, 306, 2004, 15049, 787, 256, 634, 2709, 568, 4570, 585, 519, 1101, 476, 7742, 3755, 1152, 454, 13043, 568, 513, 1641, 602, 1034, 1053, 798, 711, 899, 269, 4014, 1394, 538, 519, 1554, 543, 1256, 547, 930, 6708, 11489, 2221, 12075, 616, 2808, 1434, 693, 2979, 269, 1656, 4569, 568, 1572, 607, 513, 1893, 540, 3163, 270, 30125, 543, 713, 17807, 585, 1434, 4128, 269, 4658, 917, 589, 787, 629, 1002, 3279, 855, 616, 23387, 540, 590, 12541, 643, 553, 10548, 534, 340, 13568, 269, 1261, 729, 849, 513, 1390, 22301, 607, 593, 1010, 14512, 3127, 22842, 4095, 9119, 4303, 269, 13772, 713, 3381, 547, 1174, 945, 646, 568, 543, 1946, 596, 723, 2760, 4862, 827, 10548, 534, 340, 13568, 563, 9743, 8183, 630, 23114, 2272, 264, 9890, 454, 3682, 12803, 11657, 776, 593, 513, 8479, 18639, 11819, 689, 29180, 267, 3127, 563, 290, 514, 14670, 2762, 543, 22478, 1923, 918, 26915, 8496, 534, 454, 22492, 8729, 547, 681, 553, 11986, 918, 3333, 15077, 26196, 454, 15014, 715, 732, 526, 571, 3525, 328, 1767, 602, 3127, 7707, 4721, 1744, 752, 16210, 630, 300, 1092, 667, 4026, 320, 264, 711, 585, 3294, 855, 585, 519, 10304, 267, 1134, 5630, 543, 13884, 540, 519, 2898, 7122, 563, 19328, 814, 9250, 2048, 23330, 566, 31828, 599, 685, 547, 3142, 1394, 1472, 476, 1240, 267, 1822, 12075, 538, 5840, 945, 1616, 547, 2132, 547, 519, 2197, 9624, 519, 2112, 1063, 8621, 553, 543, 5840, 563, 2171, 723, 782, 17388, 609, 1560, 3239, 2152, 693, 930, 1448, 538, 938, 2729, 267, 543, 519, 21903, 540, 1018, 2306, 513, 968, 704, 2739, 1560, 892, 568, 2356, 519, 2601, 585, 602, 269, 2048, 293, 527, 568, 3502, 589, 10610, 7392, 685, 568, 513, 11812, 540, 3742, 2021, 10876, 267, 28000, 540, 741, 2085, 267, 3337, 610, 1560, 2450, 269, 3776, 8516, 1884, 1335, 2934, 476, 5379, 9845, 543, 476, 1691, 1114, 2238, 2336, 10376, 19002, 814, 24389, 593, 513, 2189, 8516, 3460, 543, 621, 779, 12936, 741, 2729, 538, 1585, 2081, 1107, 9308, 267, 15508, 543, 6382, 563, 4517, 607, 2141, 267, 1810, 1406, 7340, 547, 6145, 267, 19410, 543, 4427, 18285, 2336, 4415, 1142, 1007, 3381, 267, 649, 2461, 568, 3843, 547, 1376, 513, 1007, 6643, 1107, 543, 649, 991, 707, 948, 8757, 856, 547, 1004, 2066, 519, 8608, 256, 6435, 873, 1491, 851, 538, 519, 6643, 676, 7700, 547, 3818, 268, 1782, 783, 3061, 687, 593, 938, 7044, 998, 519, 3095, 2630, 912, 10287, 721, 593, 454, 3519, 24632, 2213, 1299, 21277, 1027, 676, 12192, 853, 872, 454, 24523, 1299, 10370, 7879, 281, 2672, 7464, 543, 570, 1415, 320, 715, 3711, 3511, 454, 309, 665, 1023, 281, 570, 1415, 320, 715, 3711, 3511, 454, 2750, 1815, 5737, 1160, 3027, 619, 281, 1323, 330, 7534, 2701, 339, 1399, 1299, 570, 4673, 29518, 584, 454, 17445, 528, 281, 589, 802, 1002, 2871, 696, 454, 22117, 21277, 1356, 281, 570, 4673, 29518, 584, 454, 10112, 1539, 622, 21277, 1356, 281, 21193, 11986, 20855, 17377, 454, 291, 8008, 281, 570, 7795, 514, 631, 4157, 615, 329, 2465, 454, 29394, 281, 28446, 880, 752, 24497, 328, 454, 8624, 712, 6103, 281, 1520, 640, 320, 570, 1177, 1372, 454, 10112, 9665, 10615, 281, 5842, 332, 1731, 9315, 9926, 454, 10112, 9665, 1160, 3027, 619, 281, 21208, 7534, 24872, 6359, 320, 267, 2494, 582, 328, 27454, 454, 20877, 923, 281, 7788, 2313, 6390, 10434, 1731, 541, 1299, 645, 753, 686, 774, 752, 22894, 454, 23173, 5028, 29934, 1218, 281, 1325, 9109, 808, 611, 6409, 267, 808, 527, 754, 571, 267, 2725, 327, 2692, 984, 267, 18000, 16673, 8575, 1002, 334, 2676, 8967, 582, 27258, 281, 594, 569, 553, 13225, 2967, 1299, 1325, 6647, 327, 13225, 2967, 454, 291, 31034, 281, 717, 644, 706, 267, 594, 569, 553, 1299, 15550, 617, 454, 289, 4811, 281, 1546, 4060, 3873, 681, 987, 648, 1299, 918, 26915, 13259, 340, 10937, 454, 10112, 9665, 3798, 6002, 630, 30267, 3796, 1299, 645, 4811, 2567, 623, 9567, 23449, 20858, 1299, 1520, 6702, 20182, 320, 454, 288, 628, 2280, 525, 281, 589, 987, 1662, 872, 2677, 327, 332, 4157, 327, 267, 589, 880, 342, 776, 320, 6428, 698, 732, 267, 589, 802, 1002, 320, 623, 2967, 267, 1323, 329, 8932, 5689, 14653, 571, 267, 1323, 330, 7534, 2701, 339, 1399, 267, 1323, 340, 10937, 10609, 531, 611, 22894, 267, 1488, 2559, 320, 5689, 3966, 328, 267, 645, 2088, 2871, 24473, 267, 4144, 802, 3873, 4521, 663, 267, 667, 14709, 19453, 267, 661, 330, 3279, 932, 327, 18649, 267, 4236, 6062, 623, 2784, 7315, 267, 10609, 2313, 2692, 334, 1530, 327, 6549, 267, 918, 337, 18636, 11986, 28234, 329, 2033, 267, 20727, 2313, 686, 918, 7236, 267, 2494, 582, 328, 27454, 267, 15609, 4793, 1774, 267, 14844, 26474, 3143, 601, 267, 3026, 3873, 20961, 267, 3026, 3873, 570, 1695, 27482, 328, 267, 12832, 1961, 1230, 947, 7776, 267, 715, 573, 6062, 13495, 20782, 267, 715, 22781, 2871, 24473, 267, 623, 969, 514, 15506, 2993, 342, 8403, 267, 16217, 14024, 25120, 32272, 267, 30410, 344, 17249, 932, 4405, 1386, 328, 267, 30410, 344, 17249, 27454, 267, 14780, 20076, 5689, 14653, 571, 267, 681, 1342, 6062, 6401, 267, 681, 1276, 320, 918, 698, 516, 267, 17166, 8932, 715, 1046, 541, 267, 17166, 19441, 18243, 12858, 267, 26588, 5622, 336, 3279, 631, 1638, 320, 267, 2701, 10042, 1744, 12609, 267, 1744, 643, 8643, 918, 3333, 15077, 26196, 267, 1744, 889, 327, 3385, 2274, 548, 267, 1744, 342, 9508, 590, 12112, 1046, 541, 267, 590, 1506, 600, 8403, 7195, 27004, 267, 3244, 3757, 21780, 517, 267, 3244, 3757, 631, 3626, 15939, 267, 590, 4689, 8061, 571, 329, 267, 18000, 12858, 2983, 996, 320, 24497, 880, 1678, 541, 267, 18000, 12858, 918, 592, 330, 7568, 328, 267, 570, 4673, 29518, 584, 267, 772, 3944, 328, 918, 1054, 926, 267, 962, 657, 2867, 12711, 808, 690, 328, 454, 23173, 5028, 1299, 16811, 912, 272, 17547, 595, 710, 7913, 1107, 585, 3318, 8301, 1299, 3381, 3937, 593, 16926, 454, 28694, 1467, 717, 2096, 1107, 1772, 513, 536, 719, 1664, 15547, 538, 16907, 2526, 328, 602, 814, 782, 519, 29319, 585, 707, 15904, 12512, 563, 294, 718, 656, 11846, 589, 1066, 320, 1107, 1772, 513, 25624, 5695, 325, 538, 29180, 2139, 585, 1433, 902, 689, 519, 3095, 2630, 563, 31306, 3427, 540, 27400, 8551, 1107, 674, 306, 5183, 779, 5075, 568, 547, 7668, 2043, 2509, 17284, 998, 7900, 6575, 267, 543, 649, 798, 713, 998, 938, 2069, 3292, 585, 3318, 7544, 543, 7900, 6575, 563, 298, 514, 2045, 12389, 1107, 568, 606, 4244, 1935, 547, 8516, 547, 1205, 3514, 689, 1369, 1141, 835, 666, 3666, 741, 23736, 547, 2087, 8112, 267, 22231, 267, 543, 4295, 4222, 269, 6744, 856, 741, 8756, 585, 23736, 596, 666, 798, 693, 1753, 563, 11372, 604, 527, 717, 2096, 1107, 1772, 513, 8516, 18638, 4092, 538, 2789, 4872, 538, 3127, 971, 607, 29180, 267, 623, 2317, 267, 26566, 760, 584, 543, 717, 4026, 320, 517, 563, 306, 1636, 532, 700, 687, 1107, 1772, 606, 15726, 302, 602, 3032, 619, 547, 896, 1440, 643, 850, 3022, 1453, 543, 6107, 543, 6212, 593, 7393, 519, 5989, 547, 3895, 5026, 538, 519, 2197, 563, 4537, 872, 6341, 14390, 320, 966, 344, 599, 600, 13495, 597, 1107, 1772, 513, 22082, 2168, 2069, 9872, 602, 30211, 593, 6805, 3756, 607, 1134, 607, 4207, 5026, 10459, 899, 26864, 12112, 3711, 267, 717, 2096, 333, 10415, 267, 18639, 267, 7225, 334, 543, 1082, 1866, 563, 4537, 889, 327, 18639, 918, 754, 571, 1107, 1772, 513, 18639, 10657, 10418, 1141, 789, 1521, 2550, 7092, 689, 1585, 22074, 607, 1134, 607, 1053, 945, 6999, 547, 1451, 543, 2259, 10649, 563, 763, 670, 633, 717, 2096, 1107, 1772, 513, 2347, 23398, 2866, 1305, 909, 609, 824, 1895, 3635, 5049, 563, 12552, 547, 12243, 10878, 778, 585, 2870, 930, 15813, 25287, 2762, 585, 938, 5152, 269, 1280, 811, 7544, 7044, 596, 666, 2638, 856, 12243, 10878, 778, 454, 22492, 8729, 281, 13019, 1662, 1372, 788, 19453, 267, 1323, 1415, 320, 15840, 331, 267, 1323, 329, 8932, 5689, 14653, 571, 267, 4165, 4673, 12891, 4673, 267, 25512, 599, 26121, 267, 808, 2131, 328, 20961, 267, 476, 272, 17547, 595, 710, 7913, 267, 20943, 2045, 12389, 267, 918, 26915, 14076, 1584, 267, 6341, 14390, 15840, 331, 267, 14181, 6702, 534, 715, 1515, 267, 18000, 12858, 2701, 341, 1228, 267, 12243, 10878, 778, 267, 772, 1485, 2677, 327, 335, 663, 324, 267, 966, 6359, 599, 1325, 9366, 454, 2414, 4896, 3116, 602, 649, 1522, 723, 14406, 856, 593, 267, 621, 7012, 1406, 18532, 269, 901, 3381, 1131, 711, 723, 1044, 2009, 1510, 596, 543, 707, 17170, 948, 269, 0, 299, 2426, 9435, 769, 634, 2974, 454, 299, 2426, 4754, 1356, 568, 519, 1034, 1455, 1826, 540, 2860, 269, 4340, 547, 519, 15509, 267, 538, 476, 1220, 277, 606, 6059, 476, 11793, 267, 4391, 275, 2367, 543, 476, 3445, 267, 24699, 2021, 941, 8995, 538, 519, 772, 2529, 269, 609, 5761, 2860, 269, 25016, 2860, 20039, 585, 811, 7972, 982, 897, 28030, 267, 17150, 267, 543, 6089, 11871, 5916, 563, 10712, 3183, 568, 513, 2101, 1981, 3815, 585, 3384, 5761, 2860, 543, 824, 2010, 540, 2860, 269, 12824, 616, 849, 5461, 538, 519, 1198, 2732, 949, 1404, 538, 2860, 1981, 543, 1646, 269, 589, 1353, 3370, 538, 5181, 538, 3864, 4750, 540, 9435, 4080, 606, 7681, 1063, 4189, 513, 1164, 2179, 540, 5613, 543, 5388, 543, 513, 8519, 1981, 540, 5761, 2860, 269, 589, 476, 1220, 280, 1353, 3370, 538, 519, 4760, 25016, 9435, 1336, 6704, 1804, 5666, 540, 3039, 7401, 729, 2404, 609, 513, 22485, 1981, 585, 5761, 2860, 267, 855, 1100, 971, 7681, 729, 1336, 585, 3109, 7401, 563, 763, 3173, 540, 519, 5767, 1353, 2161, 741, 4681, 15549, 3606, 1382, 547, 8495, 875, 3109, 7401, 267, 10683, 267, 543, 3635, 1860, 5761, 2860, 1981, 8335, 1851, 4775, 21596, 543, 20060, 332, 758, 619, 563, 1607, 1353, 729, 4843, 693, 513, 2564, 10554, 269, 634, 4681, 1058, 581, 2808, 16861, 607, 789, 723, 711, 2943, 22734, 519, 968, 701, 518, 2689, 892, 1184, 267, 538, 799, 3544, 4966, 29506, 1125, 519, 1239, 1991, 547, 8313, 538, 513, 2564, 4760, 563, 19675, 594, 3680, 15850, 4438, 9435, 9615, 454, 2690, 1004, 3478, 5701, 585, 2860, 267, 519, 2860, 1826, 543, 3942, 2073, 607, 1134, 607, 519, 1826, 540, 2126, 2339, 950, 14045, 2436, 621, 779, 15528, 547, 4235, 4568, 1282, 2126, 269, 3509, 540, 519, 5061, 1031, 547, 1521, 2860, 616, 7745, 1524, 676, 519, 6797, 267, 543, 4568, 267, 676, 4929, 6797, 6553, 267, 1223, 3500, 3075, 15059, 267, 2810, 2427, 2360, 269, 4706, 513, 1434, 2856, 547, 2057, 610, 3970, 4568, 1282, 2126, 547, 2061, 4205, 609, 519, 5061, 1031, 547, 1521, 2860, 563, 2704, 4022, 267, 1256, 538, 519, 1507, 5666, 1031, 538, 5023, 342, 10449, 267, 666, 8886, 622, 5023, 21399, 543, 1256, 1118, 873, 8338, 269, 1403, 596, 723, 5023, 21399, 267, 596, 949, 581, 15695, 547, 2057, 610, 3970, 4568, 269, 898, 949, 849, 581, 1655, 547, 2057, 610, 3970, 4568, 952, 596, 616, 4358, 2126, 602, 786, 2322, 596, 693, 1981, 585, 5023, 21399, 267, 971, 607, 2212, 543, 8405, 5982, 610, 1082, 2010, 540, 18068, 563, 3674, 1703, 15845, 2334, 2776, 4725, 10949, 4103, 454, 1103, 17265, 1896, 2090, 593, 840, 4725, 10949, 267, 674, 523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2965, 917, 4376, 827, 267, 4849, 602, 621, 729, 29200, 585, 24925, 4365, 563, 18455, 602, 621, 729, 593, 519, 1259, 547, 26551, 267, 645, 5861, 269, 1141, 649, 941, 2469, 19037, 267, 594, 4682, 2059, 609, 519, 1544, 269, 594, 6557, 19914, 594, 1705, 607, 594, 8694, 909, 9991, 538, 2648, 609, 519, 2749, 2336, 16240, 827, 621, 1631, 267, 865, 1082, 5863, 8823, 2097, 1394, 547, 803, 269, 594, 6557, 9599, 547, 2671, 1250, 22208, 9035, 609, 596, 2336, 314, 1607, 2022, 729, 8385, 11540, 538, 476, 1001, 280, 269, 21213, 5437, 476, 1708, 273, 2639, 5522, 8911, 513, 7552, 547, 22208, 454, 5475, 10707, 476, 10204, 2395, 266, 270, 10455, 269, 585, 519, 2063, 1906, 1296, 267, 594, 4076, 3893, 513, 2898, 6296, 1524, 602, 2337, 803, 1544, 585, 1169, 7552, 6619, 540, 942, 563, 2690, 22208, 267, 594, 1705, 1250, 1382, 593, 519, 2749, 779, 1686, 607, 1134, 607, 18845, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 3163, 11470, 1315, 15536, 335, 6064, 1315, 27725, 339, 13659, 543, 7913, 18650, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29815, 2456, 281, 519, 3476, 6519, 20407, 267, 2808, 519, 6305, 6908, 543, 2212, 31662, 282, 543, 519, 9791, 20407, 267, 799, 11438, 827, 1079, 22188, 540, 519, 5757, 779, 1216, 4320, 543, 1034, 540, 519, 521, 2830, 563, 763, 6519, 20407, 5956, 693, 8235, 15117, 267, 4000, 779, 4102, 10720, 267, 855, 8235, 15117, 3884, 1406, 8209, 519, 1034, 11397, 543, 968, 25152, 892, 2707, 540, 519, 20407, 5211, 1317, 519, 10720, 3294, 814, 1082, 28680, 8933, 4947, 538, 689, 519, 4478, 10239, 269, 0, 31010, 513, 2635, 12837, 3340, 5885, 2635, 14779, 538, 1840, 547, 7738, 707, 4522, 269, 9894, 596, 917, 602, 707, 3232, 17678, 543, 29781, 3646, 616, 4105, 547, 7863, 707, 31470, 2526, 8031, 689, 9190, 3968, 286, 634, 1482, 27521, 338, 602, 2014, 19659, 666, 2014, 21748, 543, 11702, 538, 707, 14779, 950, 2451, 547, 2445, 593, 707, 12837, 779, 2627, 563, 4263, 707, 7402, 514, 5362, 13478, 534, 17630, 267, 11404, 27731, 5604, 267, 649, 2566, 4509, 513, 15324, 10182, 950, 621, 2097, 547, 27731, 1072, 269, 5221, 10733, 2068, 568, 711, 31181, 2899, 621, 10301, 707, 10265, 14752, 267, 11826, 5711, 9882, 568, 707, 1101, 1899, 1996, 7303, 513, 8628, 3968, 269, 1403, 596, 5469, 2589, 540, 606, 3968, 1247, 17678, 707, 4522, 267, 5225, 1577, 721, 917, 1318, 2476, 865, 649, 666, 2322, 596, 593, 513, 2619, 547, 6051, 2336, 1692, 6496, 717, 636, 8376, 10670, 888, 13349, 2589, 540, 10733, 3968, 602, 10332, 596, 547, 922, 4527, 1331, 15319, 1145, 267, 5812, 11702, 267, 543, 21748, 540, 519, 5160, 2476, 689, 707, 4522, 269, 769, 621, 779, 1101, 3942, 267, 31470, 26628, 267, 519, 12982, 3210, 540, 707, 1560, 5956, 547, 2144, 1712, 519, 10733, 5160, 607, 621, 13922, 547, 9101, 519, 4551, 602, 616, 3468, 532, 621, 269, 901, 5932, 27731, 22836, 1141, 4551, 2445, 543, 666, 1831, 9875, 547, 1521, 609, 707, 11453, 543, 19568, 693, 1753, 269, 4033, 2188, 602, 3895, 2068, 1331, 513, 2732, 1164, 4006, 543, 2269, 577, 269, 1452, 3536, 17108, 519, 2208, 540, 5711, 4551, 543, 666, 3432, 909, 519, 2557, 693, 799, 707, 2068, 9428, 269, 1677, 2061, 606, 3968, 689, 2921, 3180, 267, 3251, 593, 1283, 540, 707, 6640, 543, 10543, 17678, 543, 29781, 6296, 563, 27778, 5241, 2659, 29726, 3828, 823, 3131, 4303, 454, 13014, 2386, 547, 3442, 513, 28750, 602, 786, 711, 2800, 707, 14779, 269, 1635, 8939, 513, 2571, 2614, 11453, 267, 596, 666, 2061, 16698, 543, 2417, 21748, 540, 707, 14779, 269, 1879, 8939, 707, 26025, 267, 979, 585, 513, 1587, 609, 21973, 269, 901, 3773, 4027, 585, 707, 19596, 786, 948, 2061, 19659, 602, 666, 3262, 4551, 883, 707, 31470, 2526, 5160, 269, 1635, 2921, 693, 2547, 1079, 3764, 1142, 8400, 547, 11453, 707, 4522, 267, 1118, 2386, 547, 2232, 519, 3003, 2627, 540, 1142, 5694, 269, 28528, 28103, 1996, 519, 10733, 1467, 547, 2327, 596, 616, 9427, 4551, 538, 713, 6213, 1858, 563, 763, 11957, 2986, 15482, 4469, 1601, 454, 14503, 1601, 532, 1142, 1554, 1579, 1513, 11935, 543, 4551, 602, 5531, 1063, 4522, 1141, 707, 28750, 779, 1490, 30178, 3112, 3914, 269, 901, 1590, 581, 2944, 2899, 829, 1554, 547, 948, 596, 4628, 2149, 707, 14779, 269, 1635, 17444, 519, 5569, 540, 707, 19568, 1996, 519, 2627, 540, 1142, 2427, 540, 707, 5694, 267, 596, 666, 1085, 7275, 12074, 3927, 269, 1684, 711, 3274, 7696, 707, 19568, 909, 543, 1524, 519, 7934, 1063, 707, 4522, 563, 11854, 752, 2060, 2659, 7402, 8181, 553, 13478, 534, 17630, 267, 11404, 11270, 2632, 626, 6168, 16473, 532, 18648, 17327, 2657, 454, 763, 6208, 596, 2259, 1142, 1554, 616, 707, 1101, 1899, 540, 8878, 538, 4509, 513, 2635, 12837, 689, 2068, 256, 1403, 596, 1131, 899, 547, 1451, 811, 827, 5355, 5711, 9882, 267, 1289, 3220, 269, 918, 16492, 779, 5604, 538, 7402, 8181, 553, 13478, 534, 17630, 267, 11404, 267, 693, 630, 31318, 264, 476, 5038, 273, 268, 5881, 272, 272, 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 ]
[ 0, 306, 9200, 1014, 3032, 9742, 12851, 547, 519, 1279, 3620, 8529, 269, 901, 568, 519, 1101, 9742, 2919, 676, 6739, 9742, 619, 945, 616, 6444, 13383, 269, 769, 5527, 267, 519, 3032, 729, 2808, 10723, 543, 10847, 539, 621, 267, 543, 676, 782, 1797, 6870, 1200, 269, 590, 9200, 1014, 7314, 910, 513, 2189, 6561, 540, 6576, 269, 1358, 616, 5018, 538, 519, 18627, 540, 6739, 15023, 267, 6068, 519, 28665, 267, 789, 941, 519, 12325, 540, 6739, 18912, 8941, 269, 901, 9742, 540, 3032, 20998, 513, 21785, 11206, 543, 19051, 595, 3019, 269, 4173, 11419, 995, 267, 22539, 3039, 4064, 267, 543, 561, 2106, 343, 8913, 30835, 593, 519, 10772, 786, 711, 4734, 4896, 967, 27075, 563, 306, 9200, 1014, 7314, 910, 616, 2067, 21962, 267, 789, 899, 2230, 543, 5191, 269, 2368, 6705, 6854, 873, 607, 9856, 5243, 267, 14014, 7031, 689, 23224, 267, 1317, 789, 616, 1360, 2147, 538, 2470, 269, 23281, 540, 8513, 543, 519, 2777, 723, 1360, 1134, 2919, 563, 4322, 7314, 616, 4830, 267, 855, 10121, 547, 1010, 4487, 269, 1358, 6068, 1472, 519, 9355, 267, 865, 798, 711, 1521, 873, 1175, 607, 14393, 31397, 17540, 3960, 625, 563, 763, 1686, 540, 713, 9742, 814, 827, 513, 8536, 1296, 543, 568, 2407, 540, 14868, 543, 17691, 269, 634, 1747, 540, 5169, 568, 2808, 547, 581, 519, 590, 9200, 1014, 28580, 27004, 267, 799, 568, 741, 2067, 7226, 269, 6145, 519, 21785, 11206, 543, 19051, 595, 3019, 267, 590, 9200, 1014, 11206, 9697, 12851, 547, 519, 1895, 269, 901, 9742, 568, 513, 3020, 5065, 267, 543, 7640, 525, 922, 5169, 547, 519, 1152, 2470, 269, 634, 11937, 540, 713, 9742, 910, 519, 678, 3578, 1652, 23246, 21962, 543, 8748, 3552, 2848, 28500, 7314, 269, 2353, 891, 7907, 267, 607, 1134, 607, 1804, 2450, 1500, 873, 519, 12325, 540, 18912, 8941, 538, 799, 789, 19500, 607, 9718, 619, 269, 3509, 5389, 2161, 602, 789, 616, 15274, 540, 519, 26112, 538, 519, 20708, 625, 563, 1103, 519, 2473, 309, 7656, 2540, 538, 4789, 267, 693, 519, 1360, 1101, 24218, 5411, 540, 590, 9200, 2103, 2841, 539, 538, 519, 2597, 540, 741, 10130, 269, 769, 519, 476, 3445, 1296, 540, 519, 14206, 2540, 267, 713, 9742, 729, 9516, 3044, 538, 6576, 267, 543, 26804, 3459, 547, 960, 1927, 547, 2697, 519, 6093, 4162, 585, 519, 590, 9200, 2103, 269, 4256, 8560, 8057, 6385, 3544, 938, 2197, 563, 763, 1560, 910, 513, 1804, 267, 5230, 543, 16757, 269, 634, 8405, 568, 2110, 855, 10053, 269, 7799, 321, 3259, 3328, 267, 533, 9155, 5180, 543, 2571, 269, 9737, 519, 11453, 540, 11263, 269, 29114, 9244, 1435, 27853, 267, 814, 513, 2571, 896, 1723, 520, 267, 519, 1439, 540, 519, 562, 541, 4900, 563, 23175, 910, 513, 2647, 267, 12630, 1970, 32336, 321, 2158, 267, 3068, 543, 24060, 17031, 267, 519, 30432, 5594, 23756, 9043, 26048, 609, 513, 13581, 6521, 547, 513, 3376, 9224, 267, 5347, 2059, 922, 3003, 3259, 563, 292, 1513, 910, 693, 519, 3490, 540, 519, 3376, 267, 5420, 538, 2450, 267, 1305, 1134, 6306, 609, 513, 13581, 28550, 4464, 267, 17031, 693, 519, 7475, 267, 4988, 609, 1279, 4552, 563, 292, 13433, 910, 1804, 267, 24814, 11057, 267, 519, 2539, 19984, 5594, 17031, 267, 1305, 1134, 6306, 267, 693, 606, 5086, 269, 16685, 2681, 11745, 3278, 609, 519, 2681, 267, 7833, 269, 1744, 3547, 689, 5835, 25984, 547, 11344, 269, 769, 7314, 267, 519, 4064, 540, 930, 4778, 949, 581, 4544, 267, 2009, 513, 1114, 3750, 2681, 563, 310, 944, 910, 5420, 538, 3259, 267, 1360, 10053, 896, 1723, 520, 267, 2571, 543, 5386, 538, 9403, 269, 634, 1283, 10359, 8813, 593, 519, 2427, 543, 2766, 267, 21743, 543, 28890, 267, 9157, 9403, 269, 769, 519, 2539, 851, 540, 519, 1560, 543, 15493, 2427, 7953, 267, 1100, 1283, 10359, 269, 3487, 21871, 1279, 4552, 593, 519, 9221, 267, 8405, 267, 2766, 543, 834, 335, 1218, 8487, 21760, 910, 513, 2681, 4781, 607, 2681, 6261, 2002, 1572, 834, 301, 21416, 16549, 20960, 1228, 2668, 3502, 6444, 4778, 10217, 267, 24036, 267, 561, 559, 659, 267, 535, 11921, 538, 1022, 10659, 543, 7648, 269, 2353, 824, 4778, 616, 6444, 267, 609, 1022, 2179, 540, 3043, 563, 2467, 568, 513, 2186, 540, 3043, 590, 9200, 1014, 3032, 267, 607, 1134, 607, 4625, 3109, 543, 4544, 590, 9200, 1014, 3032, 590, 9200, 1014, 3032, 267, 609, 513, 7833, 12457, 2681, 563, 306, 9200, 1014, 3032, 814, 513, 1390, 2631, 540, 1582, 12635, 269, 1358, 616, 1360, 15754, 622, 543, 18906, 633, 547, 519, 7099, 540, 519, 8227, 269, 1358, 786, 711, 581, 13684, 267, 952, 519, 3984, 568, 11112, 267, 855, 2141, 4712, 547, 948, 950, 4576, 610, 4313, 539, 538, 2352, 3871, 269, 590, 9200, 1014, 7314, 723, 606, 17916, 8671, 543, 29525, 540, 519, 2915, 269, 901, 568, 513, 3020, 3659, 267, 3478, 1031, 547, 519, 1482, 8227, 563, 306, 9200, 1014, 6539, 29181, 2648, 547, 1404, 609, 1453, 267, 711, 10728, 269, 634, 2470, 540, 519, 590, 9200, 1014, 3032, 3340, 1978, 3549, 267, 607, 1279, 20420, 789, 7985, 8185, 269, 1358, 616, 2111, 547, 1118, 2828, 609, 782, 519, 1920, 2818, 543, 824, 10130, 269, 6884, 1256, 609, 519, 5243, 267, 855, 789, 666, 2014, 2042, 269, 1703, 616, 2665, 950, 519, 590, 9200, 1014, 9742, 3032, 16091, 513, 4436, 1352, 23311, 269, 1677, 21046, 267, 789, 616, 530, 776, 563, 4322, 7314, 616, 676, 2470, 1439, 15735, 609, 1434, 2168, 1646, 543, 1390, 25525, 269, 1403, 519, 3032, 2729, 538, 513, 2749, 19887, 267, 621, 568, 4502, 547, 3802, 621, 693, 2547, 2899, 513, 3018, 593, 519, 8265, 269, 1358, 616, 2141, 11235, 547, 20630, 1007, 19589, 538, 519, 1854, 652, 2631, 269, 1452, 7314, 6157, 24643, 1216, 267, 789, 616, 8348, 547, 6108, 3108, 8384, 621, 610, 723, 1187, 10943, 4770, 538, 519, 16173, 563, 306, 9200, 2103, 1058, 5781, 2036, 2027, 2036, 585, 1279, 4552, 543, 4444, 873, 31153, 9708, 543, 18969, 2759, 568, 711, 2556, 269, 4826, 5574, 1058, 581, 5340, 1169, 3670, 3275, 269, 1452, 7314, 2648, 547, 1666, 330, 538, 519, 3141, 267, 855, 798, 711, 1450, 873, 547, 9114, 1524, 585, 513, 1279, 942, 896, 519, 1085, 528, 4221, 12345, 267, 713, 5012, 547, 25794, 543, 30034, 4552, 269, 898, 568, 2556, 547, 21237, 8524, 707, 10772, 543, 4894, 19017, 16247, 267, 855, 538, 1022, 2013, 711, 547, 4019, 519, 5277, 563, 2414, 3443, 519, 3032, 26224, 3533, 267, 596, 666, 3442, 519, 1826, 540, 6445, 518, 267, 799, 568, 519, 1655, 3514, 585, 707, 4620, 269, 634, 3134, 11345, 6445, 518, 834, 306, 9200, 1014, 257, 814, 513, 2898, 1899, 540, 1585, 1797, 267, 1851, 799, 596, 786, 6157, 1265, 519, 1034, 5078, 585, 596, 543, 707, 4620, 269, 901, 2027, 11423, 585, 6539, 29181, 267, 10110, 550, 543, 561, 7927, 540, 6445, 518, 267, 585, 2110, 268, 543, 1279, 3620, 8529, 267, 1804, 543, 1507, 11491, 2737, 585, 707, 13418, 269, 1358, 616, 782, 1500, 540, 3574, 543, 723, 2067, 1085, 757, 267, 1875, 3562, 13877, 543, 2922, 585, 3425, 267, 607, 1134, 607, 22237, 547, 946, 563, 763, 3902, 585, 513, 6539, 1084, 590, 9200, 1014, 3032, 666, 581, 689, 476, 276, 547, 476, 1789, 8536, 6299, 956, 267, 4470, 593, 2085, 267, 22693, 267, 2681, 269, 12339, 2297, 616, 1454, 811, 7199, 982, 7314, 563, 290, 1846, 20604, 1332, 689, 476, 277, 547, 476, 280, 4846, 543, 7314, 593, 3328, 689, 476, 274, 547, 476, 278, 11899, 269, 0, 272, 269, 634, 20334, 547, 17629, 26874, 11352, 723, 11840, 730, 593, 606, 5044, 540, 2035, 454, 272, 269, 634, 20334, 547, 17629, 26874, 11352, 723, 11840, 730, 593, 606, 5044, 540, 2035, 971, 607, 7849, 4521, 267, 7849, 9406, 267, 1533, 540, 2470, 267, 2797, 2486, 267, 2112, 543, 4708, 267, 3092, 269, 14424, 543, 4334, 741, 5784, 609, 1346, 540, 519, 20334, 547, 8466, 17217, 2245, 269, 769, 835, 3296, 267, 4983, 519, 6286, 540, 891, 1114, 5784, 585, 1894, 1063, 2829, 269, 630, 16694, 281, 1100, 7864, 982, 2947, 2035, 269, 634, 6476, 1590, 581, 1134, 26518, 543, 3638, 1040, 0, 15916, 267, 689, 513, 19444, 2433, 264, 2433, 994, 296, 993, 1360, 1007, 547, 20798, 543, 595, 5752, 267, 543, 3843, 547, 1265, 1250, 1259, 998, 621, 269, 20405, 569, 543, 676, 2542, 543, 4693, 543, 5470, 594, 993, 1565, 267, 865, 5225, 7703, 609, 803, 2483, 4407, 594, 729, 3843, 547, 960, 609, 930, 6083, 1846, 267, 594, 8068, 602, 513, 3009, 971, 607, 454, 15615, 15254, 282, 15254, 284, 274, 270, 275, 282, 5395, 658, 31428, 15238, 263, 12534, 267, 275, 11850, 8117, 952, 596, 798, 10581, 15254, 282, 15254, 14352, 15615, 264, 476, 274, 270, 275, 282, 5395, 658, 31428, 15238, 263, 12534, 267, 275, 11850, 6533, 621, 7024, 476, 271, 269, 16020, 271, 630, 553, 5551, 994, 4692, 2576, 948, 803, 1174, 1946, 568, 713, 267, 543, 568, 713, 630, 26511, 264, 519, 2953, 1259, 547, 946, 6083, 1846, 286, 0, 296, 991, 6351, 538, 16460, 519, 1739, 5149, 476, 277, 667, 21990, 563, 300, 7394, 4886, 543, 11557, 10020, 4886, 454, 5475, 596, 723, 6192, 519, 7335, 267, 543, 14478, 519, 7044, 593, 5837, 1646, 543, 3023, 1909, 1646, 593, 3817, 476, 28360, 543, 476, 28906, 267, 2022, 707, 3355, 3210, 547, 519, 1739, 6898, 563, 11073, 1467, 519, 1114, 3344, 540, 519, 1646, 540, 1582, 8410, 1061, 607, 789, 9305, 547, 1647, 6689, 998, 2038, 18273, 269, 8081, 707, 2626, 609, 1806, 540, 875, 713, 1646, 568, 12936, 676, 4008, 267, 5198, 267, 543, 2528, 563, 1103, 519, 3381, 593, 5837, 1646, 267, 596, 4718, 2185, 1453, 945, 941, 4280, 513, 2243, 1644, 547, 513, 5837, 14196, 269, 14419, 799, 3942, 540, 5837, 1646, 519, 2185, 1453, 538, 519, 3381, 1131, 581, 538, 2687, 547, 13100, 27600, 543, 918, 2129, 331, 6199, 269, 14424, 519, 2035, 1644, 547, 519, 1114, 5933, 602, 616, 5941, 1851, 519, 1079, 28466, 563, 8794, 1344, 689, 519, 3381, 593, 3023, 1909, 1646, 267, 543, 689, 519, 1257, 267, 9959, 875, 2825, 7506, 267, 971, 607, 3237, 267, 9905, 267, 543, 2486, 3310, 3023, 1909, 1646, 269, 769, 707, 2626, 267, 581, 2386, 547, 1331, 4162, 540, 1114, 6436, 1644, 547, 713, 851, 540, 1646, 267, 1519, 5042, 23923, 11365, 6436, 267, 4008, 28203, 6436, 267, 22506, 779, 5369, 15351, 24608, 7869, 267, 543, 4317, 4804, 28636, 563, 22013, 1853, 532, 513, 1164, 7779, 1587, 693, 513, 10257, 3902, 568, 711, 2614, 15042, 563, 6546, 779, 1946, 649, 723, 2919, 476, 276, 6225, 18715, 602, 786, 1118, 707, 1995, 609, 938, 3028, 11791, 267, 2653, 267, 543, 2922, 563, 2791, 723, 547, 581, 476, 1911, 260, 2386, 540, 519, 2298, 540, 707, 1587, 547, 2285, 513, 2724, 25746, 10018, 269, 901, 6257, 721, 9985, 269, 5269, 2386, 602, 713, 10018, 568, 11207, 12001, 19403, 811, 454, 10376, 1957, 568, 7768, 689, 15072, 267, 2687, 547, 707, 5528, 269, 898, 568, 1287, 13761, 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, 0, 304, 269, 476, 272, 594, 275, 269, 279, 263, 476, 277, 966, 4925, 12467, 763, 6205, 540, 519, 5549, 553, 729, 570, 1575, 659, 563, 763, 9930, 19631, 14316, 540, 5549, 553, 3357, 547, 519, 3131, 12320, 1014, 595, 15120, 1723, 14860, 1472, 519, 476, 1556, 628, 2540, 543, 789, 7930, 3964, 741, 17260, 269, 570, 1575, 659, 9782, 547, 1379, 543, 10692, 1996, 519, 824, 11031, 899, 932, 574, 639, 945, 941, 12306, 972, 543, 3964, 1010, 10504, 269, 1261, 9112, 513, 4583, 6830, 538, 18475, 269, 634, 6532, 19289, 538, 519, 10720, 540, 570, 12792, 20403, 543, 519, 9855, 11454, 941, 930, 1806, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16286, 3615, 8204, 3498, 8320, 267, 7900, 2556, 3527, 547, 2327, 11007, 780, 305, 28072, 608, 26118, 538, 1384, 265, 2037, 29058, 3905, 1964, 11301, 281, 14190, 532, 1533, 995, 3156, 547, 9156, 30780, 689, 22314, 7886, 563, 265, 21278, 22150, 20803, 14565, 281, 25849, 532, 1480, 22345, 762, 3984, 12849, 547, 8897, 3181, 19982, 3646, 563, 265, 19737, 4320, 27589, 543, 1033, 778, 906, 281, 30047, 10770, 4859, 2115, 16900, 563, 265, 20074, 10288, 30596, 543, 9505, 23957, 281, 2871, 5875, 2465, 532, 18615, 11056, 2687, 547, 30966, 3652, 780, 3528, 10128, 681, 28072, 883, 918, 21310, 6339, 525, 12440, 11766, 906, 267, 3906, 666, 13468, 1455, 1928, 2798, 2404, 609, 4881, 1533, 995, 3156, 267, 5355, 2949, 6617, 543, 2773, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1440, 643, 2329, 2839, 12788, 568, 513, 3818, 3815, 17452, 1062, 602, 2337, 16984, 267, 1418, 714, 338, 725, 543, 3549, 547, 4383, 5215, 540, 476, 273, 526, 2188, 540, 3755, 269, 7834, 2839, 12788, 7028, 782, 1114, 18351, 2010, 543, 8255, 593, 6566, 625, 269, 634, 1788, 568, 1472, 585, 476, 1015, 1296, 269, 2755, 621, 568, 4625, 1930, 2707, 267, 513, 2754, 2196, 676, 519, 9367, 2488, 1489, 547, 3549, 945, 2154, 713, 269, 901, 18327, 602, 1930, 2707, 666, 581, 519, 3490, 585, 513, 3811, 1870, 2203, 269, 1284, 786, 2911, 827, 875, 7834, 2839, 12788, 2919, 267, 1018, 616, 519, 2104, 4566, 543, 875, 621, 666, 849, 948, 596, 4194, 707, 17452, 2591, 563, 298, 279, 338, 685, 7928, 10540, 19754, 267, 543, 859, 11881, 1118, 621, 4101, 547, 7500, 1875, 1922, 5435, 2389, 26985, 1533, 995, 3156, 602, 941, 2760, 2966, 585, 7928, 4411, 1964, 11301, 269, 769, 713, 2911, 267, 649, 786, 4766, 519, 2029, 543, 946, 2665, 585, 513, 918, 21310, 6339, 525, 11346, 602, 9607, 891, 10512, 2591, 676, 7175, 1533, 995, 3156, 547, 3905, 1964, 691, 689, 1141, 789, 941, 29169, 269, 634, 5817, 2029, 786, 581, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 12229, 4886, 1299, 7177, 1315, 7010, 5811, 1299, 5071, 1315, 9980, 640, 7304, 601, 725, 1222, 21290, 630, 2207, 300, 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, 7201, 519, 26568, 3002, 540, 519, 3735, 3933, 1084, 1122, 12541, 4832, 267, 25909, 959, 644, 3022, 909, 519, 27726, 14099, 540, 519, 667, 14373, 545, 32595, 267, 1010, 12816, 25192, 10010, 547, 2744, 6718, 1996, 519, 10690, 1085, 872, 269, 3571, 649, 9312, 3068, 729, 31960, 609, 3515, 540, 8990, 267, 855, 849, 18354, 910, 646, 6785, 602, 2899, 646, 6603, 519, 21895, 540, 7585, 582, 990, 918, 4157, 267, 4986, 1131, 2479, 581, 519, 1482, 1586, 780, 2026, 646, 6172, 5523, 2362, 267, 8823, 27876, 1394, 282, 2592, 540, 17409, 3838, 1472, 11523, 1782, 3786, 18394, 267, 3946, 8757, 856, 547, 948, 1864, 2066, 30217, 748, 10596, 267, 2984, 22121, 2620, 883, 519, 3781, 9944, 5182, 26569, 22839, 269, 8409, 2395, 941, 1279, 8854, 1631, 267, 8719, 3079, 676, 15280, 973, 3234, 5209, 543, 16203, 602, 28594, 31090, 2476, 693, 1864, 899, 513, 986, 27281, 18896, 780, 3725, 2286, 519, 1283, 267, 25909, 17328, 4310, 267, 3154, 4771, 585, 7362, 1312, 689, 25874, 543, 7553, 269, 1261, 23500, 519, 18198, 31858, 4821, 1354, 1864, 1107, 10239, 15198, 2509, 519, 16880, 267, 741, 19589, 25848, 3293, 676, 12269, 12902, 538, 1055, 519, 1520, 686, 1738, 7256, 269, 769, 519, 3845, 267, 646, 1223, 1118, 856, 519, 5609, 6681, 7455, 540, 519, 7345, 540, 918, 19318, 267, 5969, 883, 519, 5251, 899, 513, 17180, 780, 306, 19488, 267, 646, 5433, 513, 1688, 593, 1010, 13105, 269, 5695, 940, 267, 646, 4718, 25795, 10937, 7555, 22290, 1864, 267, 1200, 4158, 4064, 10452, 519, 7088, 28823, 3330, 1200, 1378, 9997, 269, 1358, 1185, 1044, 18798, 2899, 267, 3808, 1927, 676, 741, 2648, 585, 891, 3552, 3338, 543, 1142, 824, 269, 1809, 1945, 1185, 5949, 267, 6117, 873, 6306, 538, 2081, 1256, 789, 7948, 1405, 4628, 1174, 15042, 780, 257, 3963, 1705, 596, 3142, 803, 1934, 267, 25909, 8119, 1352, 4280, 28663, 267, 8840, 519, 16563, 1063, 873, 269, 4173, 5639, 1726, 3387, 1194, 5594, 267, 20729, 532, 519, 13438, 6456, 3297, 1200, 588, 2465, 569, 1795, 1228, 780, 3891, 11688, 18469, 267, 18516, 875, 547, 2253, 7713, 519, 31341, 6681, 3460, 602, 1185, 3366, 1864, 547, 713, 1448, 269, 7053, 267, 646, 3576, 513, 2620, 7362, 543, 1558, 1200, 22401, 4009, 569, 269, 834, 296, 2877, 547, 1397, 596, 1945, 2437, 646, 1767, 7444, 267, 834, 306, 15036, 594, 1589, 649, 1312, 29709, 2059, 519, 1259, 3010, 4415, 1346, 1913, 267, 646, 15504, 856, 606, 2025, 4786, 267, 5835, 539, 609, 2085, 543, 1212, 1078, 689, 9118, 16784, 902, 543, 11200, 902, 269, 8672, 532, 547, 513, 5544, 2282, 519, 6316, 540, 519, 15922, 267, 646, 26866, 1229, 267, 834, 1607, 568, 1141, 621, 782, 3459, 1862, 712, 9909, 267, 938, 13922, 267, 938, 2648, 907, 3010, 307, 8986, 4904, 25795, 10937, 781, 4064, 607, 1352, 588, 1563, 693, 519, 6825, 2473, 593, 519, 533, 1105, 618, 267, 19551, 519, 9153, 621, 4371, 585, 873, 269, 589, 2104, 1863, 689, 519, 10148, 540, 2486, 267, 2713, 32069, 1369, 2470, 781, 9784, 269, 1215, 3533, 1919, 1185, 4957, 267, 3056, 873, 1524, 5094, 10092, 2261, 1042, 676, 21390, 543, 26416, 906, 780, 2690, 513, 4090, 267, 9444, 12038, 267, 4503, 538, 741, 9757, 26871, 625, 269, 3973, 267, 3592, 6650, 1061, 4601, 267, 25795, 10937, 10709, 539, 1996, 25909, 267, 5275, 24176, 538, 1010, 14246, 269, 1306, 789, 11542, 972, 267, 3623, 17924, 564, 1540, 1996, 519, 11018, 7088, 267, 621, 8604, 607, 952, 519, 10239, 2933, 16004, 7198, 547, 519, 6526, 1006, 540, 1480, 4276, 543, 519, 1379, 540, 25863, 780, 4517, 865, 267, 9624, 519, 26009, 19589, 543, 3504, 3338, 540, 3933, 1084, 1122, 549, 267, 1079, 20339, 1336, 2933, 2899, 811, 267, 3808, 1927, 711, 1152, 676, 519, 2250, 855, 849, 676, 519, 7872, 540, 19807, 543, 1007, 20297, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 568, 519, 10923, 4087, 540, 3933, 1084, 1122, 549, 543, 1018, 616, 930, 540, 922, 2101, 2244, 13257, 888, 12507, 1084, 1122, 549, 568, 4092, 538, 14913, 2342, 593, 519, 26811, 534, 18686, 269, 898, 568, 536, 23912, 676, 28993, 547, 519, 7532, 267, 24640, 807, 547, 519, 22703, 267, 23886, 807, 547, 519, 7178, 267, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 547, 519, 22070, 267, 543, 519, 1520, 686, 1738, 7256, 547, 519, 22236, 269, 8528, 5278, 540, 519, 2101, 2244, 13257, 538, 3933, 1084, 1122, 549, 1331, 519, 667, 14373, 545, 32595, 267, 799, 2196, 998, 519, 7187, 543, 27040, 2694, 540, 519, 2197, 269, 634, 5207, 8445, 568, 7585, 582, 990, 918, 4157, 267, 799, 10301, 606, 15038, 540, 476, 273, 267, 276, 2420, 7397, 269, 634, 20736, 2466, 528, 2817, 5244, 568, 849, 4092, 538, 713, 29990, 3148, 780, 763, 25878, 851, 540, 3933, 1084, 1122, 549, 2934, 513, 7522, 9381, 10750, 2059, 519, 1520, 686, 1738, 7256, 267, 609, 1896, 536, 904, 543, 17822, 269, 634, 7345, 540, 918, 19318, 568, 513, 1134, 8153, 4183, 540, 713, 1858, 267, 609, 922, 7522, 267, 23090, 535, 329, 867, 6438, 2497, 269, 8528, 1103, 1633, 689, 519, 5032, 267, 972, 616, 1896, 4130, 7823, 9832, 543, 15113, 954, 4944, 619, 539, 609, 23898, 543, 23617, 269, 634, 2098, 9508, 5211, 8255, 998, 519, 3844, 851, 540, 512, 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, 17345, 5149, 281, 10289, 9484, 14551, 545, 8535, 543, 922, 3778, 692, 7072, 912, 5970, 596, 2479, 4862, 2575, 602, 32131, 1114, 982, 4376, 596, 4312, 4862, 1354, 286, 2334, 1522, 723, 1044, 9484, 14551, 545, 2575, 256, 901, 1826, 540, 2575, 2501, 689, 519, 6014, 2950, 945, 941, 30461, 689, 8050, 1282, 519, 5053, 769, 638, 9974, 538, 519, 3735, 476, 9610, 271, 338, 269, 1452, 7642, 267, 1634, 607, 9484, 14551, 574, 267, 12306, 2429, 519, 11335, 3148, 267, 1519, 17577, 267, 543, 4547, 741, 2189, 7574, 5389, 609, 873, 269, 2913, 781, 2263, 713, 4241, 1686, 543, 6432, 547, 930, 4190, 2575, 2059, 519, 1259, 2439, 4089, 476, 272, 281, 5808, 616, 519, 9484, 14551, 574, 888, 763, 9484, 14551, 574, 616, 18939, 540, 7642, 945, 5030, 538, 519, 30345, 1014, 18686, 630, 19640, 6377, 8050, 543, 17577, 264, 1354, 789, 941, 7142, 547, 4734, 1813, 547, 3909, 20655, 269, 3509, 540, 891, 6014, 1004, 12038, 28247, 3626, 267, 513, 1893, 6508, 689, 10120, 5053, 269, 1358, 5645, 741, 9821, 267, 2528, 267, 543, 2575, 16382, 789, 4682, 267, 2870, 7524, 2950, 1472, 519, 1158, 780, 4089, 476, 273, 281, 1548, 568, 9484, 14551, 545, 8535, 888, 20225, 14551, 545, 2575, 814, 7960, 998, 5553, 540, 9194, 267, 855, 621, 1869, 6585, 5196, 922, 10058, 3280, 269, 12465, 7405, 899, 519, 522, 644, 630, 320, 15090, 11057, 5569, 6293, 1070, 1688, 27120, 267, 543, 5641, 534, 1115, 1419, 13173, 13047, 1235, 269, 15053, 23888, 4043, 547, 581, 2241, 267, 3850, 519, 22192, 9739, 540, 519, 2206, 619, 547, 1491, 4099, 3942, 269, 10370, 7879, 2721, 689, 1312, 10723, 5931, 543, 16712, 6965, 267, 10452, 2984, 540, 2648, 267, 2530, 267, 543, 5132, 780, 4089, 476, 274, 281, 23016, 6201, 454, 4131, 781, 4685, 4514, 883, 9484, 14551, 545, 2575, 676, 6947, 547, 513, 1906, 1806, 1927, 256, 9796, 3007, 547, 875, 1142, 5152, 6645, 513, 1650, 543, 859, 10280, 4664, 780, 7078, 476, 272, 281, 834, 291, 584, 1889, 267, 20736, 1889, 257, 9497, 28036, 267, 12619, 8442, 910, 589, 2757, 561, 1638, 17879, 23475, 538, 28247, 3626, 267, 10023, 25695, 4938, 1023, 10483, 676, 13176, 269, 19415, 5702, 547, 5873, 519, 9543, 18819, 5921, 547, 9350, 1453, 693, 21557, 780, 314, 25147, 3095, 610, 7842, 8301, 3758, 1934, 6540, 7078, 476, 273, 281, 834, 303, 848, 1714, 989, 7699, 257, 9497, 4131, 4826, 10426, 1635, 8442, 910, 20323, 513, 6648, 2854, 676, 513, 7332, 10564, 267, 713, 4062, 9356, 4798, 540, 6043, 5103, 23434, 5185, 676, 519, 9484, 14551, 545, 2146, 269, 18564, 519, 946, 540, 25576, 15664, 543, 16625, 23964, 602, 1711, 513, 2631, 540, 11733, 543, 9322, 1369, 519, 5152, 780, 314, 25147, 3095, 610, 7842, 8301, 3758, 1934, 6540, 7078, 476, 274, 281, 834, 17442, 887, 21542, 679, 4148, 648, 576, 257, 9497, 763, 14986, 2349, 334, 1682, 8442, 910, 1323, 1383, 540, 513, 533, 12011, 583, 267, 513, 1396, 17790, 6648, 973, 1243, 1282, 31263, 4084, 2533, 269, 901, 1880, 4062, 22842, 1744, 13741, 520, 267, 519, 6014, 1554, 540, 1964, 269, 2052, 596, 2697, 1022, 18596, 1913, 610, 18305, 1031, 538, 824, 8964, 649, 19557, 547, 4505, 2496, 314, 25147, 3095, 610, 7842, 8301, 3758, 1934, 6540, 4089, 476, 275, 281, 17583, 547, 2622, 27639, 454, 2026, 596, 666, 1294, 267, 9484, 14551, 545, 2575, 11438, 3140, 4644, 1247, 4509, 10083, 2221, 269, 4706, 3638, 6561, 13462, 721, 547, 1585, 4529, 2066, 942, 5712, 1107, 22348, 721, 540, 938, 3838, 8103, 543, 2702, 547, 7753, 14488, 269, 1924, 1985 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2136, 2276, 1310, 519, 20281, 8118, 909, 1310, 519, 21829, 2782, 729, 538, 519, 5215, 563, 6524, 513, 7406, 666, 581, 19632, 267, 513, 5748, 1590, 581, 5116, 9944, 621, 269, 769, 519, 2038, 1296, 3046, 985, 941, 1419, 17479, 593, 21825, 5116, 1804, 536, 746, 619, 1572, 726, 842, 10007, 269, 589, 9788, 909, 3159, 5748, 1522, 2097, 2663, 267, 855, 2394, 519, 3735, 476, 866, 628, 2540, 267, 3592, 782, 13210, 941, 9788, 909, 3819, 563, 6524, 513, 9870, 12284, 1223, 581, 19632, 267, 519, 521, 1571, 543, 6989, 3675, 1235, 2877, 547, 581, 538, 1747, 269, 1703, 729, 513, 13283, 585, 3043, 18073, 610, 9221, 18133, 585, 713, 851, 540, 519, 7406, 1317, 2059, 519, 3490, 972, 729, 3152, 4598, 547, 519, 2609, 269, 1403, 513, 6989, 7948, 1405, 581, 3710, 538, 942, 585, 519, 9870, 267, 930, 2186, 540, 10151, 835, 1131, 3411, 823, 563, 290, 16226, 1927, 513, 1895, 540, 1004, 585, 513, 9870, 729, 4440, 711, 602, 2352, 2899, 519, 2489, 2551, 1185, 6603, 6190, 2338, 269, 26478, 543, 741, 3885, 5249, 1927, 585, 513, 3099, 540, 5301, 269, 634, 2631, 543, 7744, 602, 13087, 513, 1895, 540, 1004, 547, 2097, 1927, 585, 513, 1455, 2014, 3357, 689, 1296, 540, 2245, 543, 13766, 269, 1452, 1585, 834, 1740, 10987, 257, 849, 4904, 513, 1514, 991, 693, 513, 942, 950, 16837, 569, 3108, 6170, 9683, 941, 711, 513, 3339, 851, 540, 3232, 1272, 563, 4002, 519, 11280, 1554, 585, 519, 9870, 267, 3003, 3885, 1131, 13956, 2390, 519, 6074, 3135, 269, 6468, 3357, 547, 5965, 6980, 585, 519, 9870, 12284, 269, 8479, 1453, 3357, 585, 513, 4960, 547, 8389, 997, 609, 15274, 543, 4585, 519, 1397, 267, 855, 4587, 1453, 1131, 1376, 11423, 741, 5107, 547, 5351, 538, 519, 1455, 4674, 269, 1656, 519, 782, 1271, 3815, 540, 4365, 1131, 581, 14478, 609, 8401, 3007, 563, 763, 9870, 1131, 1419, 581, 3366, 676, 519, 9808, 1067, 5128, 269, 4014, 1082, 3946, 1118, 1769, 960, 267, 1142, 12284, 6205, 12479, 602, 972, 1131, 581, 2614, 4810, 543, 5827, 13538, 547, 2057, 25354, 543, 10913, 269, 12344, 930, 16461, 1746, 543, 1151, 545, 2787, 1522, 1256, 1491, 1747, 269, 634, 1184, 540, 9870, 519, 1101, 18761, 630, 821, 540, 519, 1292, 3334, 547, 519, 7406, 264, 729, 2141, 513, 3787, 8229, 12109, 9535, 269, 898, 3340, 519, 11558, 540, 1004, 1688, 17666, 519, 4626, 1499, 1247, 1866, 1796, 1394, 267, 4712, 547, 795, 629, 741, 533, 833, 18635, 585, 519, 7299, 10131, 563, 4415, 1079, 536, 757, 538, 1747, 543, 741, 4626, 1499, 890, 13949, 1927, 267, 519, 12284, 666, 8399, 609, 513, 3787, 811, 6015, 269, 634, 1297, 540, 536, 757, 585, 513, 28561, 666, 4268, 609, 3677, 3283, 5627, 5722, 610, 5216, 269, 2060, 782, 519, 536, 757, 538, 1747, 267, 21934, 13783, 1590, 581, 9788, 2066, 519, 1283, 547, 1683, 513, 3760, 585, 9870, 519, 10824, 269, 3502, 3025, 7959, 6899, 2324, 689, 513, 4463, 543, 713, 729, 1776, 5057, 585, 513, 9870, 1141, 2348, 606, 4810, 12284, 909, 593, 1283, 1500, 3025, 13236, 1454, 4443, 563, 2252, 519, 7406, 729, 2347, 693, 713, 1448, 267, 986, 1123, 338, 1223, 581, 1305, 538, 1747, 543, 519, 4305, 8737, 269, 3509, 14604, 267, 2705, 267, 1185, 606, 5580, 2497, 9967, 540, 15596, 2022, 32234, 543, 1625, 331, 1231, 602, 1131, 3238, 513, 1390, 4308, 811, 942, 543, 811, 1981, 269, 769, 2489, 267, 1034, 14604, 1131, 581, 7555, 7381, 676, 519, 1439, 540, 519, 1554, 269, 667, 1853, 1154, 1004, 2476, 689, 741, 1378, 960, 543, 26050, 585, 1079, 2395, 538, 513, 4737, 1131, 581, 2352, 563, 2252, 519, 7406, 3357, 1927, 1510, 32657, 777, 610, 9073, 543, 972, 7012, 1405, 513, 3735, 12784, 19711, 10445, 267, 922, 12032, 1131, 581, 2014, 585, 8795, 5232, 540, 11812, 267, 2245, 267, 905, 8463, 267, 608, 21310, 766, 267, 9992, 643, 565, 640, 267, 14266, 1143, 543, 18656, 10885, 269, 2290, 2688, 5645, 883, 519, 1459, 1554, 3322, 519, 562, 9430, 540, 519, 3039, 536, 965, 547, 519, 7406, 2356, 2944, 676, 519, 4487, 15790, 10938, 269, 634, 5072, 540, 713, 2688, 666, 581, 14360, 1394, 1082, 5553, 543, 1851, 824, 10305, 621, 19752, 9878, 4630, 720, 547, 519, 4104, 689, 799, 519, 7406, 814, 2097, 269, 1879, 621, 3357, 942, 547, 3548, 267, 519, 960, 540, 519, 2021, 602, 12784, 1131, 581, 10057, 609, 606, 14031, 3160, 547, 519, 3646, 3238, 538, 9870, 519, 7406, 3294, 269, 1323, 10543, 781, 28561, 7544, 9434, 3735, 883, 519, 10543, 1131, 1698, 519, 1554, 781, 2238, 563, 1103, 3013, 519, 6192, 7406, 2968, 513, 6174, 585, 6411, 540, 1035, 13681, 1738, 29412, 1247, 519, 12284, 693, 2666, 1377, 7722, 538, 18942, 733, 3949, 543, 6704, 536, 8083, 269, 25126, 1131, 18214, 547, 519, 1283, 986, 1123, 267, 13171, 523, 519, 7406, 609, 513, 11480, 540, 15555, 543, 2285, 519, 7406, 513, 2012, 5310, 609, 930, 14235, 3769, 607, 1134, 563, 7212, 28561, 986, 529, 902, 18220, 513, 2442, 3239, 540, 865, 1454, 602, 568, 2318, 827, 938, 6694, 543, 6917, 6561, 267, 972, 616, 693, 2547, 1079, 3334, 602, 616, 1419, 12628, 689, 519, 1427, 2454, 540, 519, 1995, 269, 769, 19220, 540, 513, 2245, 540, 28561, 9870, 602, 5795, 26767, 513, 10257, 22059, 602, 513, 19579, 12284, 1131, 27043, 3294, 267, 519, 7915, 4220, 3238, 609, 519, 9870, 540, 513, 7406, 1869, 11478, 269, 1703, 941, 3875, 7063, 543, 811, 982, 835, 3170, 1275, 4611, 689, 519, 4674, 547, 948, 2576, 538, 519, 8378, 563, 5194, 5057, 602, 2261, 1042, 519, 2318, 28561, 9870, 3239, 729, 4568, 4616, 269, 901, 729, 2523, 3020, 538, 519, 1101, 10116, 540, 519, 476, 866, 628, 2540, 950, 1977, 4616, 540, 30341, 14326, 729, 693, 606, 782, 942, 1164, 269, 21278, 2178, 4235, 2965, 2968, 513, 2556, 5057, 585, 11018, 513, 12284, 609, 1082, 32222, 547, 1376, 960, 1510, 606, 23931, 5818, 269, 901, 1131, 849, 2272, 585, 519, 2799, 1981, 540, 8009, 543, 5945, 269, 769, 1082, 2950, 1978, 3885, 610, 2516, 4956, 602, 4568, 4616, 1185, 547, 3247, 693, 28561, 986, 529, 902, 267, 855, 621, 1419, 3576, 1296, 547, 3914, 519, 3804, 540, 2348, 513, 834, 323, 787, 7406, 2668, 4340, 547, 519, 9050, 6019, 3778, 2854, 676, 17451, 1206, 543, 3416, 793, 538, 476, 6942, 280, 630, 286, 1070, 519, 16011, 540, 23108, 2023, 4769, 1405, 3035, 713, 11984, 2394, 476, 7277, 275, 563, 7212, 519, 834, 4252, 3019, 7406, 257, 3357, 538, 519, 476, 8146, 271, 781, 543, 4166, 2968, 519, 2343, 585, 1034, 5321, 3710, 1310, 519, 6406, 2782, 267, 519, 16025, 25194, 2245, 15068, 1454, 3476, 585, 28561, 4070, 269, 769, 8832, 23621, 7541, 6019, 972, 616, 6589, 540, 16025, 7406, 9112, 3046, 985, 9434, 883, 519, 476, 3707, 271, 781, 269, 634, 2278, 786, 581, 3695, 519, 16025, 25194, 2245, 607, 621, 15068, 883, 519, 476, 736, 628, 2540, 538, 513, 7766, 2376, 543, 1131, 5660, 1022, 2984, 602, 1004, 616, 8348, 547, 2671, 563, 2237, 547, 3798, 715, 714, 531, 22603, 524, 270, 334, 1715, 1046, 9503, 8466, 5980, 267, 623, 269, 744, 269, 13340, 476, 19442, 267, 1715, 1046, 9503, 267, 12924, 476, 15946, 1556, 610, 552, 17733, 4757, 11333, 2593, 563, 293, 1301, 27258, 21518, 513, 570, 965, 6601, 539, 454, 13070, 3472, 1116, 18697, 723, 12926, 1044, 513, 1259, 540, 1272, 602, 18796, 588, 1066, 6681, 267, 2168, 2534, 269, 634, 2179, 540, 2909, 1233, 2877, 547, 4497, 538, 713, 13567, 3459, 547, 24390, 950, 519, 11633, 7169, 5828, 922, 3007, 547, 6683, 538, 519, 2034, 10116, 540, 519, 476, 866, 628, 2540, 269, 13139, 1436, 540, 12227, 543, 7311, 3621, 2409, 547, 519, 6575, 540, 9393, 787, 2968, 519, 4808, 585, 519, 834, 19640, 267, 11636, 257, 16027, 269, 769, 19220, 540, 782, 519, 6694, 530, 19123, 787, 602, 814, 2097, 2059, 538, 519, 2063, 476, 5611, 1296, 267, 22406, 4887, 729, 513, 10950, 543, 3592, 2556, 14487, 547, 1832, 909, 519, 4398, 540, 513, 3484, 5106, 1134, 883, 519, 4571, 268, 736, 628, 2540, 269, 901, 8604, 547, 581, 2523, 3020, 540, 519, 15113, 728, 11396, 563, 296, 3323, 713, 2376, 609, 519, 9837, 540, 1818, 621, 513, 1121, 514, 4593, 775, 540, 1250, 1133, 2193, 267, 25414, 715, 714, 531, 22603, 267, 4535, 538, 476, 4572, 277, 269, 25414, 2141, 3138, 15701, 607, 513, 3677, 982, 1272, 1367, 945, 1185, 519, 26430, 547, 1394, 621, 909, 269, 1261, 1185, 513, 6292, 540, 3946, 602, 941, 865, 1804, 602, 28551, 1864, 609, 519, 8912, 3946, 327, 820, 1500, 835, 1745, 899, 789, 941, 1178, 25290, 519, 2427, 540, 513, 8423, 269, 12267, 540, 2168, 2909, 341, 5964, 6933, 730, 538, 938, 1920, 585, 607, 1279, 607, 594, 666, 3314, 267, 855, 538, 2487, 1296, 1920, 2828, 543, 29872, 1734, 3459, 4946, 547, 519, 23278, 4973, 2594, 563, 2691, 1250, 11515, 729, 538, 1010, 6305, 646, 1185, 1614, 8378, 669, 4548, 602, 5280, 1832, 519, 10253, 547, 519, 3193, 950, 621, 3357, 547, 4666, 2597, 17666, 269, 1452, 941, 3203, 918, 592, 1731, 22603, 267, 3798, 7773, 834, 306, 3916, 257, 14863, 2284, 543, 23011, 10965, 1952, 267, 513, 4990, 540, 834, 19177, 21696, 5443, 540, 5101, 1715, 1046, 9503, 2668, 1280, 31768, 789, 17329, 547, 1294, 945, 1223, 945, 1223, 4584, 909, 519, 7887, 8778, 528, 269, 2986, 1576, 267, 519, 8778, 832, 14201, 1405, 607, 2462, 1394, 1287, 267, 855, 17666, 513, 8778, 528, 540, 1022, 2450, 267, 1256, 952, 621, 781, 513, 15989, 8778, 528, 267, 568, 1869, 11141, 269, 3203, 918, 592, 1731, 22603, 5143, 803, 602, 1312, 646, 543, 25414, 1223, 4584, 909, 519, 4395, 1439, 540, 513, 12426, 718, 670, 563, 293, 1301, 8695, 899, 547, 23666, 1142, 824, 609, 875, 1134, 789, 666, 6023, 513, 4627, 11013, 9126, 540, 3049, 269, 594, 2141, 1185, 2042, 3001, 513, 9126, 540, 3049, 1577, 4805, 16116, 621, 909, 269, 25414, 781, 29037, 609, 3049, 11435, 4667, 1034, 899, 513, 7381, 9661, 269, 1879, 8585, 548, 623, 1370, 823, 540, 1715, 1046, 9503, 729, 593, 519, 5605, 592, 766, 27805, 267, 1250, 22516, 1185, 606, 22377, 4323, 269, 1879, 519, 27805, 3357, 547, 519, 2777, 267, 25414, 781, 14903, 729, 538, 519, 1259, 609, 513, 4452, 540, 3049, 269, 25414, 13603, 909, 1079, 3049, 11435, 538, 2901, 1688, 547, 1491, 547, 519, 11491, 776, 269, 8585, 548, 1767, 267, 834, 307, 3415, 267, 596, 1810, 1405, 991, 547, 23666, 803, 257, 1141, 2390, 1250, 11515, 1767, 1945, 547, 519, 1198, 602, 646, 1131, 1631, 2965, 798, 1945, 11141, 269, 3733, 11515, 711, 1152, 13603, 909, 2185, 3049, 11435, 2899, 1586, 267, 855, 646, 1185, 1079, 11435, 936, 1010, 17525, 693, 519, 1482, 942, 543, 15336, 1055, 269, 901, 2451, 3833, 513, 12667, 12705, 593, 8585, 548, 781, 3965, 563, 298, 523, 645, 9347, 540, 7137, 802, 10921, 12211, 713, 1650, 950, 646, 729, 2324, 693, 623, 2255, 29564, 269, 1261, 14478, 25414, 4584, 909, 2185, 476, 11463, 18470, 269, 11435, 540, 9160, 1055, 513, 5493, 2280, 267, 3802, 856, 519, 2679, 267, 1524, 513, 19856, 543, 6749, 873, 936, 519, 2766, 10766, 540, 1010, 14903, 269, 1284, 3513, 2760, 917, 952, 2185, 11435, 729, 1010, 3970, 610, 952, 646, 3274, 2877, 1152, 2185, 11435, 547, 798, 519, 2816, 602, 1554, 563, 2467, 941, 1079, 2984, 7282, 6472, 269, 2290, 7255, 513, 1762, 812, 267, 834, 3719, 2151, 257, 4936, 22603, 267, 945, 22666, 519, 1920, 1286, 543, 8399, 539, 547, 1439, 909, 538, 519, 546, 3558, 269, 25414, 5949, 547, 2097, 2059, 609, 1010, 8778, 528, 609, 513, 4452, 540, 23226, 593, 519, 1394, 269, 13298, 982, 3653, 782, 602, 942, 21379, 8504, 519, 23226, 3262, 518, 267, 25414, 13603, 909, 835, 1439, 540, 519, 1286, 543, 1287, 519, 824, 1394, 593, 519, 4155, 269, 594, 10093, 1405, 1044, 2111, 547, 3313, 519, 3169, 1826, 540, 1286, 267, 855, 2094, 713, 729, 1394, 538, 519, 476, 3422, 271, 781, 267, 621, 4440, 7012, 1405, 513, 11741, 269, 769, 1776, 1650, 602, 25414, 5143, 547, 15535, 12815, 23750, 267, 646, 1185, 1044, 2324, 18284, 513, 4406, 5050, 602, 729, 11262, 676, 1250, 22516, 269, 634, 13544, 1793, 5792, 543, 25414, 1185, 547, 14541, 2046, 519, 1286, 1055, 1010, 9221, 547, 1205, 689, 18284, 563, 307, 3415, 14284, 3046, 24515, 1317, 646, 6785, 602, 713, 1131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 1082, 540, 26503, 8659, 538, 519, 6543, 479, 24941, 2281, 3379, 547, 15406, 3374, 2281, 269, 769, 4334, 267, 519, 24197, 9245, 1761, 568, 4625, 8709, 1639, 538, 6543, 479, 271, 2281, 602, 941, 3812, 676, 17861, 908, 700, 335, 4753, 1723, 2281, 538, 31679, 15902, 639, 2208, 5420, 585, 513, 5266, 1279, 1974, 630, 4366, 3108, 1040, 645, 1513, 267, 476, 736, 32755, 269, 630, 321, 264, 4886, 540, 5182, 1386, 15406, 3374, 2281, 543, 6543, 479, 271, 2281, 593, 31893, 269, 15406, 3374, 2281, 543, 6543, 479, 271, 2281, 941, 18233, 7466, 538, 645, 7704, 543, 726, 730, 593, 476, 272, 269, 276, 260, 1875, 5991, 22021, 31893, 693, 513, 5860, 540, 476, 276, 6398, 476, 11793, 2281, 30763, 273, 269, 901, 729, 4553, 676, 29164, 585, 519, 8612, 2053, 693, 476, 2420, 9180, 269, 645, 1513, 267, 476, 271, 269, 276, 6515, 563, 25618, 344, 585, 2870, 678, 1186, 275, 5991, 1638, 2281, 676, 513, 4999, 540, 4630, 27881, 21921, 1588, 543, 6098, 590, 325, 334, 296, 4367, 454, 19808, 1515, 618, 540, 24197, 1599, 814, 1044, 2404, 609, 513, 2647, 2039, 540, 4049, 1480, 4713, 267, 799, 723, 1044, 1036, 4981, 539, 896, 519, 2012, 540, 24197, 3676, 1547, 32279, 267, 544, 339, 19091, 609, 23633, 13592, 30598, 609, 654, 339, 2173, 339, 19091, 630, 31198, 19091, 10636, 21182, 3240, 1040, 24398, 19091, 13592, 8915, 741, 4307, 8040, 1152, 950, 519, 8167, 540, 4573, 730, 544, 339, 291, 18456, 568, 1164, 630, 628, 11611, 1198, 264, 1547, 1677, 2569, 713, 8167, 267, 606, 2500, 3797, 585, 891, 4713, 814, 1044, 6836, 676, 946, 540, 16454, 337, 6053, 6098, 19231, 1439, 31265, 1162, 547, 9004, 4481, 4573, 730, 544, 339, 291, 18456, 1496, 277, 267, 278, 267, 1691, 267, 1428, 4940, 634, 1007, 1505, 4843, 538, 713, 960, 729, 25282, 1472, 519, 11201, 1523, 269, 769, 654, 339, 2173, 339, 19091, 267, 972, 568, 513, 2582, 590, 325, 334, 296, 3135, 538, 519, 25318, 540, 678, 1186, 275, 5444, 269, 901, 6659, 519, 7872, 602, 519, 31411, 4082, 540, 590, 325, 334, 296, 538, 26503, 540, 519, 678, 1186, 275, 13463, 614, 32194, 2281, 1522, 1450, 721, 547, 1711, 678, 1186, 275, 5991, 1638, 2281, 267, 607, 1085, 3012, 1227, 3254, 538, 7612, 476, 274, 269, 1677, 1449, 713, 7872, 267, 649, 1101, 2877, 547, 5965, 513, 2981, 656, 538, 799, 519, 12760, 3940, 631, 4811, 4149, 325, 334, 296, 568, 6829, 538, 3210, 547, 8851, 540, 15067, 6483, 743, 710, 689, 519, 13662, 5420, 267, 607, 538, 519, 2013, 540, 700, 335, 4753, 1723, 2281, 4330, 538, 519, 18631, 3296, 269, 1280, 713, 3483, 267, 15406, 3374, 2281, 941, 9927, 609, 519, 533, 11586, 4343, 9706, 290, 2135, 4353, 4149, 325, 334, 296, 630, 335, 5425, 4343, 264, 6152, 630, 21206, 1239, 3758, 476, 272, 1070, 543, 519, 4611, 5595, 20675, 845, 1218, 941, 804, 517, 958, 5697, 538, 519, 4527, 540, 476, 736, 13179, 326, 270, 6447, 540, 15067, 6483, 743, 710, 630, 307, 564, 1070, 476, 1015, 13179, 326, 270, 6447, 540, 1025, 2880, 573, 514, 590, 543, 476, 2004, 13179, 326, 270, 6447, 540, 717, 275, 1240, 269, 769, 513, 2698, 540, 827, 476, 8517, 804, 2158, 8947, 267, 476, 2190, 2693, 804, 2158, 941, 7620, 5833, 607, 3283, 602, 6829, 519, 631, 4811, 4149, 325, 334, 296, 1310, 8851, 540, 31679, 689, 2208, 5420, 267, 855, 1034, 540, 873, 941, 1336, 547, 8858, 513, 4057, 3210, 547, 31679, 269, 18641, 267, 2705, 267, 649, 1223, 2744, 835, 8799, 2981, 656, 630, 516, 31084, 547, 607, 700, 335, 5425, 325, 334, 2281, 264, 602, 588, 2406, 6829, 519, 631, 4811, 4149, 325, 334, 296, 13745, 609, 8851, 540, 31679, 269, 634, 1505, 7550, 1934, 568, 1759, 593, 4367, 540, 590, 325, 334, 296, 883, 26503, 543, 922, 3169, 4082, 896, 519, 910, 307, 564, 2783, 269, 4475, 267, 519, 946, 540, 15406, 3374, 2281, 538, 799, 519, 31679, 14114, 742, 1062, 568, 14553, 14931, 568, 3833, 2565, 585, 3608, 5542, 540, 2981, 1218, 971, 607, 700, 335, 5425, 325, 334, 2281, 563, 8201, 476, 274, 269, 15613, 585, 2870, 678, 1186, 275, 5991, 1638, 2281, 269, 1306, 513, 4358, 1570, 267, 700, 335, 5425, 325, 334, 2281, 538, 799, 533, 290, 2135, 4353, 630, 300, 4811, 9984, 306, 325, 334, 296, 568, 6829, 896, 519, 15067, 6483, 743, 710, 15902, 639, 11196, 307, 564, 264, 2783, 267, 941, 5423, 269, 30272, 267, 519, 30354, 678, 1186, 275, 5444, 630, 300, 583, 2173, 339, 19091, 585, 4630, 27881, 21921, 1588, 1070, 538, 799, 519, 25318, 590, 325, 334, 296, 21935, 543, 513, 476, 276, 262, 268, 327, 2788, 540, 678, 1186, 275, 8193, 3148, 941, 25216, 267, 729, 5189, 883, 700, 335, 5425, 325, 334, 2281, 547, 3489, 10636, 32194, 2981, 1218, 630, 299, 335, 5425, 325, 334, 16281, 2281, 264, 609, 26503, 9967, 540, 519, 23688, 2173, 339, 19091, 543, 3552, 15178, 544, 339, 19091, 630, 310, 339, 2173, 339, 19091, 1040, 21676, 9482, 609, 8851, 540, 31679, 689, 2208, 5420, 267, 519, 12760, 3940, 631, 4811, 4149, 325, 334, 296, 24704, 538, 519, 32594, 568, 14311, 11843, 883, 26503, 540, 700, 335, 5425, 325, 334, 16281, 2281, 543, 28729, 2007, 3949, 654, 339, 2173, 339, 19091, 855, 711, 23688, 2173, 339, 19091, 269, 4595, 519, 2007, 6479, 654, 339, 2173, 339, 19091, 568, 711, 5918, 6088, 267, 519, 23688, 2173, 339, 19091, 3587, 8789, 1282, 519, 1576, 540, 2208, 896, 519, 910, 307, 564, 2783, 267, 3976, 5555, 4758, 678, 1186, 275, 5991, 1638, 2281, 563, 295, 2678, 32194, 700, 335, 5425, 325, 334, 16281, 2281, 267, 538, 799, 1312, 540, 654, 339, 2173, 339, 19091, 543, 23688, 2173, 339, 19091, 15877, 519, 590, 325, 334, 296, 3135, 543, 513, 476, 276, 262, 268, 327, 2788, 540, 678, 1186, 275, 8193, 3148, 616, 954, 2719, 1194, 267, 941, 5423, 676, 1797, 540, 4630, 27881, 21921, 1588, 1210, 519, 6152, 4020, 607, 4330, 538, 16952, 1239, 3758, 476, 274, 269, 1879, 700, 335, 5425, 325, 334, 16281, 2281, 22791, 307, 564, 264, 6738, 609, 31679, 543, 15366, 15406, 3374, 2281, 941, 5182, 1386, 267, 519, 1804, 4874, 322, 626, 3055, 546, 807, 274, 31286, 630, 12671, 476, 277, 269, 276, 737, 321, 264, 1519, 519, 678, 1186, 275, 610, 922, 25216, 5444, 941, 23644, 569, 6829, 1310, 476, 273, 3108, 540, 27781, 630, 8201, 476, 275, 321, 1040, 769, 700, 335, 5425, 325, 334, 16281, 11196, 307, 564, 264, 2281, 6738, 585, 476, 4366, 3108, 538, 519, 9000, 540, 31679, 267, 2705, 267, 519, 546, 807, 274, 13973, 5627, 519, 16856, 678, 1186, 275, 5444, 729, 2760, 6829, 1310, 27781, 630, 8201, 476, 275, 321, 1070, 1498, 519, 4130, 546, 807, 274, 13973, 609, 519, 476, 276, 262, 268, 1372, 548, 1540, 678, 1186, 275, 5444, 729, 6829, 476, 273, 3108, 1310, 27781, 630, 8201, 476, 275, 322, 1040, 898, 568, 3833, 2352, 547, 3713, 519, 2450, 1673, 29924, 1063, 519, 1079, 268, 18196, 540, 546, 807, 274, 31286, 267, 1317, 519, 25216, 3148, 540, 678, 1186, 275, 5444, 568, 711, 865, 1804, 3379, 547, 519, 2898, 546, 807, 274, 5444, 12440, 269, 1306, 3254, 538, 7612, 476, 275, 323, 267, 513, 476, 276, 737, 321, 23650, 602, 1058, 581, 5833, 676, 12536, 540, 519, 30354, 546, 807, 274, 5444, 12440, 609, 715, 1372, 296, 543, 590, 325, 334, 296, 729, 17077, 569, 4767, 538, 700, 335, 5425, 325, 334, 16281, 22791, 307, 564, 264, 2281, 6738, 585, 476, 273, 4374, 538, 519, 4527, 540, 31679, 269, 901, 8604, 547, 5815, 602, 513, 5354, 540, 23688, 2173, 339, 19091, 729, 4503, 1282, 513, 12675, 942, 540, 2208, 896, 519, 31679, 13807, 639, 2783, 269, 901, 568, 5812, 609, 938, 3105, 4681, 476, 602, 519, 10636, 32194, 1533, 568, 711, 7123, 267, 543, 4061, 602, 654, 339, 2173, 339, 19091, 3587, 8789, 7930, 1282, 2528, 267, 7654, 1317, 540, 4776, 22460, 5918, 6473, 540, 654, 339, 2173, 339, 19091, 3379, 547, 23688, 2173, 339, 19091, 269, 12830, 569, 267, 2705, 267, 513, 1507, 8167, 540, 23688, 2173, 339, 19091, 729, 1336, 547, 581, 2614, 547, 1711, 678, 1186, 275, 5991, 1638, 2281, 5627, 1152, 519, 23688, 2173, 339, 19091, 267, 1317, 700, 335, 5425, 325, 334, 16281, 22791, 307, 564, 264, 2281, 941, 10736, 547, 700, 335, 5425, 325, 334, 16281, 11196, 307, 564, 264, 2281, 1369, 476, 4366, 3108, 540, 2208, 896, 519, 31679, 15902, 639, 2783, 630, 8201, 476, 275, 323, 1040, 1879, 15406, 3374, 267, 700, 335, 5425, 325, 334, 543, 700, 335, 5425, 325, 334, 16281, 2281, 6738, 585, 476, 4366, 3108, 896, 519, 910, 307, 564, 2175, 941, 26911, 609, 667, 4338, 296, 267, 700, 335, 5425, 325, 334, 2281, 941, 9672, 547, 581, 4625, 27507, 540, 24197, 28969, 267, 1498, 12297, 6438, 25859, 540, 22140, 941, 17477, 1134, 630, 8201, 476, 275, 324, 1040, 1635, 4334, 267, 2094, 15406, 3374, 2281, 543, 700, 335, 5425, 325, 334, 16281, 11196, 307, 564, 264, 2281, 723, 654, 339, 2173, 339, 19091, 543, 23688, 2173, 339, 19091, 6606, 267, 741, 26503, 941, 26911, 1134, 609, 667, 4338, 296, 630, 8201, 476, 275, 324, 1040, 769, 700, 335, 5425, 294, 2281, 3812, 676, 535, 6748, 519, 554, 338, 9680, 17025, 5311, 609, 631, 4811, 4149, 325, 334, 296, 267, 519, 28264, 729, 4481, 4767, 538, 26503, 269, 17023, 569, 267, 2705, 267, 24197, 667, 4338, 296, 3613, 8724, 729, 1869, 17477, 538, 519, 700, 335, 5425, 294, 2281, 630, 8201, 476, 275, 324, 1040, 901, 8604, 547, 5815, 602, 519, 11747, 2534, 540, 519, 5266, 1507, 590, 325, 334, 296, 11140, 1522, 581, 4389, 610, 27618, 950, 535, 4310, 609, 554, 338, 9680, 17025, 267, 4440, 1317, 540, 513, 10322, 545, 12042, 8896, 269, 634, 3668, 540, 540, 3552, 15178, 678, 1186, 275, 5444, 538, 700, 335, 5425, 325, 334, 16281, 2281, 17861, 730, 585, 476, 4366, 31477, 896, 519, 910, 307, 564, 2783, 729, 9672, 676, 19738, 2079, 630, 8201, 476, 275, 325, 1040, 11088, 267, 9927, 2281, 609, 23688, 2173, 339, 19091, 538, 799, 1152, 519, 678, 1186, 275, 5444, 1185, 1044, 4573, 730, 941, 2111, 547, 1332, 1256, 538, 519, 4527, 540, 5189, 590, 325, 334, 296, 269, 17957, 267, 3552, 15178, 544, 339, 19091, 630, 310, 307, 2173, 339, 19091, 264, 729, 28729, 2007, 6479, 676, 590, 325, 334, 296, 267, 543, 519, 5223, 540, 23688, 2173, 339, 19091, 270, 310, 307, 2173, 339, 19091, 538, 519, 10636, 32194, 2281, 729, 7930, 2799, 269, 4935, 267, 2281, 609, 2370, 610, 1100, 23688, 2173, 339, 19091, 2968, 513, 6543, 479, 271, 15581, 543, 5555, 5747, 1317, 540, 21085, 22930, 563, 26705, 281, 21512, 293, 12025, 281, 476, 1428, 30641, 8281, 3758, 454, 8201, 476, 275, 269, 21826, 543, 2347, 6521, 540, 700, 335, 5425, 325, 334, 16281, 2281, 630, 31198, 19091, 10636, 32194, 2281, 264, 547, 513, 678, 1186, 275, 5991, 1638, 1533, 676, 519, 4082, 540, 16454, 337, 542, 2389, 1173, 9643, 590, 325, 334, 296, 269, 630, 320, 264, 12810, 540, 3552, 15178, 2173, 339, 19091, 630, 310, 339, 2173, 339, 19091, 282, 9018, 3039, 5858, 264, 543, 30354, 2173, 339, 19091, 630, 300, 583, 2173, 339, 19091, 282, 6418, 4544, 5858, 264, 10834, 519, 7158, 540, 519, 19231, 4609, 630, 306, 325, 334, 296, 267, 476, 7367, 267, 3445, 279, 282, 715, 1372, 296, 267, 476, 280, 3199, 543, 476, 7906, 267, 25851, 264, 543, 519, 23731, 31265, 582, 728, 28525, 630, 326, 2001, 21985, 834, 272, 2580, 834, 273, 2580, 543, 834, 274, 8442, 1031, 269, 634, 546, 807, 274, 5444, 12440, 630, 344, 3641, 1899, 264, 5627, 4573, 730, 678, 1186, 275, 5444, 630, 1042, 1899, 264, 538, 23688, 2173, 339, 19091, 568, 5594, 10156, 982, 602, 538, 654, 339, 2173, 339, 19091, 267, 1317, 519, 590, 325, 334, 296, 3135, 543, 513, 476, 276, 262, 268, 327, 2788, 540, 678, 1186, 275, 8193, 3148, 941, 25216, 269, 630, 321, 264, 15406, 3374, 2281, 543, 700, 335, 5425, 325, 334, 16281, 2281, 6738, 609, 22791, 307, 564, 264, 610, 1510, 11196, 307, 564, 264, 15067, 6483, 743, 710, 941, 18233, 7466, 538, 645, 7704, 543, 695, 2586, 538, 645, 7704, 585, 519, 8612, 2053, 630, 15590, 264, 693, 476, 2420, 9180, 269, 901, 729, 4553, 676, 10868, 540, 519, 2698, 10717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6701, 2398, 11143, 5136, 26207, 8119, 607, 513, 5748, 267, 1053, 666, 9691, 2708, 11269, 540, 23948, 730, 2043, 538, 7890, 6386, 267, 23827, 908, 519, 1909, 540, 1533, 5238, 538, 31328, 9979, 540, 30886, 543, 771, 523, 325, 13361, 1047, 618, 780, 275, 269, 19484, 17716, 543, 7991, 8490, 692, 9961, 1082, 4683, 2148, 2137, 267, 3347, 1404, 11358, 5107, 538, 5935, 3197, 262, 24551, 543, 2631, 540, 10362, 269, 3487, 21871, 1851, 12790, 2516, 267, 4296, 585, 3022, 1369, 9395, 10275, 27848, 2950, 1419, 1683, 4105, 2959, 540, 1489, 267, 17604, 267, 543, 4187, 1996, 5007, 4229, 17116, 1367, 8171, 269, 14301, 2390, 4258, 3122, 670, 1307, 262, 3209, 29158, 1290, 525, 547, 31222, 267, 1053, 786, 8495, 875, 17052, 1599, 607, 4609, 540, 16882, 9624, 7293, 6528, 640, 543, 14488, 269, 5015, 267, 6313, 26007, 540, 11509, 12352, 2066, 1585, 5931, 267, 6267, 666, 6218, 875, 2648, 543, 25055, 3815, 883, 25481, 540, 3109, 27828, 543, 8706, 6541, 1369, 4683, 8658, 780, 276, 269, 18650, 267, 2920, 13659, 267, 543, 4317, 7827, 692, 288, 18596, 6249, 1459, 538, 1454, 4683, 3332, 3322, 6411, 540, 4187, 543, 17933, 6322, 693, 4101, 17888, 1379, 3889, 543, 14957, 585, 7104, 19802, 269, 3245, 29065, 12180, 3646, 3366, 676, 2146, 2818, 547, 1164, 3491, 12803, 17600, 14053, 12250, 6963, 267, 891, 2984, 22113, 519, 13710, 1761, 7915, 538, 7104, 2962, 269, 22034, 2997, 320, 13660, 309, 1716, 599, 781, 17245, 834, 1724, 628, 257, 607, 513, 4704, 1448, 267, 1053, 666, 10250, 3140, 23543, 540, 7803, 1436, 13389, 3109, 4703, 543, 2015, 4207, 19183, 540, 2527, 23948, 566, 538, 2413, 2486, 269, 11086, 267, 7421, 14070, 6386, 7258, 15923, 6589, 2636, 1053, 547, 5660, 519, 7096, 1764, 9423, 6585, 538, 27647, 1944, 5322, 585, 1514, 5126, 780, 277, 269, 10390, 281, 14484, 687, 593, 27919, 267, 17583, 267, 543, 26306, 692, 3528, 9284, 532, 2933, 538, 519, 10600, 4843, 998, 4683, 3332, 267, 1053, 616, 13934, 547, 13720, 741, 1378, 10054, 267, 12886, 267, 543, 22864, 269, 12056, 609, 891, 5931, 7512, 3742, 6947, 543, 17519, 1620, 267, 5009, 4514, 3444, 14426, 4296, 2556, 585, 5807, 8537, 1565, 5054, 543, 12581, 7239, 269, 5047, 267, 21679, 609, 1950, 4798, 6659, 538, 891, 2984, 6087, 6267, 547, 5431, 741, 8116, 538, 1198, 532, 1689, 693, 2123, 267, 18497, 267, 543, 2518, 2157, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 32091, 570, 6160, 320, 3370, 538, 17985, 25712, 12139, 454, 296, 729, 513, 7141, 3042, 3043, 8004, 2713, 5087, 540, 596, 269, 1411, 941, 23520, 267, 570, 6874, 1144, 267, 602, 18903, 4975, 8375, 909, 856, 540, 519, 31403, 607, 649, 22755, 5045, 4724, 596, 593, 23681, 476, 4037, 269, 1411, 941, 30483, 267, 519, 24891, 267, 519, 2104, 269, 594, 729, 782, 14000, 543, 15832, 267, 14964, 602, 4544, 15918, 871, 26781, 4724, 707, 2575, 267, 707, 10918, 267, 707, 8285, 1612, 3547, 563, 296, 5156, 3388, 596, 5143, 803, 827, 3054, 563, 2791, 941, 2712, 321, 2033, 2462, 2275, 640, 1350, 7867, 547, 1250, 21411, 773, 1507, 2389, 1144, 22293, 267, 4993, 29681, 547, 1250, 4571, 13523, 679, 333, 14241, 269, 1411, 941, 3013, 547, 1250, 2898, 1673, 600, 333, 3146, 560, 6361, 7308, 8996, 269, 594, 759, 5034, 596, 267, 1279, 539, 585, 596, 267, 4941, 547, 581, 596, 269, 2142, 513, 851, 540, 596, 267, 19037, 269, 1656, 1287, 267, 585, 513, 942, 267, 594, 729, 269, 1656, 1287, 594, 7012, 1405, 15042, 269, 1809, 596, 2811, 1869, 851, 540, 803, 269, 1411, 2811, 899, 602, 608, 2000, 1478, 594, 2760, 1223, 16718, 563, 10144, 945, 917, 803, 1631, 1810, 1405, 917, 827, 721, 267, 938, 2078, 267, 782, 1346, 1296, 269, 8307, 25288, 6487, 269, 3733, 11078, 269, 5221, 1352, 729, 972, 693, 519, 4098, 563, 9515, 729, 609, 596, 1354, 594, 729, 267, 538, 1249, 269, 2701, 6410, 1318, 547, 519, 2295, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 3979, 1977, 1299, 4563, 1315, 12124, 1299, 9335, 22175, 1315, 29277, 15881, 2510, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2257, 267, 2206, 12940, 21869, 648, 267, 2206, 12940, 7005, 267, 2206, 12940, 2069, 267, 2206, 12940, 13004, 267, 2206, 12940, 6128, 267, 575, 576, 513, 1377, 543, 575, 576, 522, 1377, 267, 20259, 2545, 332, 269, 3657, 596, 11821, 827, 1018, 596, 1058, 798, 609, 707, 1148, 17440, 952, 596, 991, 1148, 17440, 948, 267, 596, 666, 1205, 621, 1934, 998, 938, 3896, 269, 589, 1377, 562, 30109, 21099, 519, 2663, 540, 1079, 13387, 4255, 538, 513, 6281, 1153, 1641, 267, 1031, 607, 513, 28730, 585, 13675, 883, 513, 6280, 1496, 320, 5560, 341, 2331, 264, 1377, 316, 513, 563, 288, 19389, 1377, 267, 6891, 1377, 610, 3274, 513, 6891, 568, 606, 6293, 2966, 547, 5815, 2436, 513, 2627, 568, 8880, 630, 24038, 264, 610, 7299, 630, 680, 3518, 264, 19389, 1377, 813, 568, 13561, 267, 4977, 267, 2241, 547, 946, 543, 11212, 3730, 1907, 585, 707, 543, 5514, 3926, 269, 2817, 20576, 540, 11418, 1299, 1344, 3084, 20576, 540, 11418, 1299, 1344, 2029, 540, 562, 1408, 527, 1519, 1547, 5565, 2409, 616, 1031, 835, 568, 547, 726, 659, 513, 1286, 322, 817, 593, 513, 1377, 4062, 540, 2666, 1369, 606, 26456, 522, 16853, 609, 606, 6679, 267, 543, 950, 519, 7873, 832, 616, 27580, 3022, 547, 7086, 641, 909, 593, 7504, 3724, 547, 519, 13675, 267, 543, 3976, 11700, 657, 873, 281, 585, 950, 713, 6177, 814, 711, 2230, 547, 2196, 267, 621, 666, 7224, 2285, 922, 1560, 6190, 11610, 547, 4473, 689, 519, 2666, 519, 2034, 563, 302, 1790, 10183, 630, 329, 17702, 281, 522, 12530, 495, 12530, 363, 12530, 376, 522, 27703, 264, 616, 10151, 22429, 2360, 602, 616, 1031, 689, 519, 6345, 3406, 1062, 789, 616, 1360, 2147, 547, 1780, 7060, 522, 1790, 10183, 666, 581, 3838, 609, 824, 7404, 610, 2228, 5716, 952, 1776, 6345, 3096, 835, 1247, 4448, 2228, 610, 1369, 12616, 3845, 267, 519, 6345, 269, 7734, 6692, 1386, 607, 1377, 27984, 281, 22559, 7599, 676, 795, 2033, 586, 18036, 267, 1579, 618, 710, 676, 521, 4673, 30779, 2988, 871, 518, 267, 4503, 14951, 540, 519, 900, 14283, 3750, 676, 12908, 517, 24982, 588, 559, 2023, 267, 29165, 543, 10775, 1910, 536, 269, 1530, 523, 543, 4862, 1018, 1500, 596, 1616, 547, 1413, 909, 522, 1377, 921, 848, 2995, 721, 1141, 596, 1224, 610, 4862, 621, 630, 10175, 519, 10839, 267, 952, 2009, 269, 634, 1655, 522, 1377, 543, 513, 1377, 4967, 267, 4388, 267, 7270, 543, 14469, 10274, 585, 1169, 1641, 6185, 5877, 522, 1377, 319, 0, 14813, 1218, 267, 20854, 543, 8613, 32414, 476, 275, 267, 476, 1001, 277, 519, 2360, 540, 4282, 8613, 593, 519, 11442, 1404, 2623, 540, 1360, 1762, 1453, 1126, 1646, 476, 1220, 279, 1547, 5680, 27127, 2762, 781, 1198, 593, 1453, 1010, 2319, 814, 8947, 513, 3099, 540, 1514, 7678, 10832, 1282, 519, 942, 602, 4145, 827, 4950, 946, 1851, 519, 1547, 1548, 596, 666, 798, 4352, 519, 2078, 1063, 2923, 543, 2634, 1646, 568, 1950, 267, 5464, 1453, 779, 2923, 946, 543, 12145, 741, 4598, 547, 2923, 602, 616, 1646, 958, 6099, 666, 948, 2327, 602, 707, 1126, 779, 2634, 568, 4299, 9797, 676, 2923, 1247, 7863, 873, 689, 1761, 2942, 2360, 269, 634, 1007, 26294, 2053, 14038, 543, 1453, 827, 519, 946, 540, 19269, 1282, 2038, 1646, 267, 543, 3081, 1352, 12194, 602, 1453, 945, 798, 711, 1451, 1483, 1547, 12829, 10746, 543, 519, 4950, 849, 1860, 2792, 1983, 543, 519, 3929, 1646, 540, 3425, 952, 513, 1126, 12346, 593, 4950, 3755, 4043, 547, 946, 3375, 4586, 4467, 1584, 619, 723, 12926, 1044, 11967, 676, 1312, 1453, 543, 4079, 607, 6325, 543, 4977, 2959, 540, 1344, 269, 8479, 1453, 630, 277, 268, 1015, 264, 2038, 946, 540, 3059, 2029, 814, 1044, 3254, 547, 2087, 1893, 1983, 543, 3895, 1453, 779, 1514, 1646, 946, 519, 4950, 267, 1547, 5753, 779, 946, 540, 519, 4950, 281, 18759, 593, 519, 6932, 1382, 16786, 5067, 807, 2713, 7723, 1496, 16942, 6870, 316, 561, 5064, 1153, 540, 9297, 543, 2797, 2257, 563, 21609, 3125, 8377, 1299, 2029, 1107, 1018, 779, 519, 4276, 4950, 6165, 543, 3381, 3756, 547, 948, 2232, 4808, 585, 519, 946, 540, 2029, 609, 1453, 1547, 21942, 1587, 2173, 30291, 21374, 941, 1031, 547, 1449, 519, 2078, 1063, 4908, 540, 4950, 946, 543, 519, 3670, 1514, 1646, 543, 1126, 12641, 25766, 1547, 8447, 543, 1514, 2360, 540, 4950, 946, 538, 1453, 519, 3347, 1063, 4950, 946, 543, 2168, 610, 1514, 519, 5933, 540, 1126, 1646, 1063, 4586, 5825, 720, 540, 519, 4950, 543, 922, 1198, 593, 6107, 1646, 519, 29010, 540, 1646, 5921, 602, 930, 1453, 689, 930, 5321, 267, 1547, 634, 4950, 607, 513, 1907, 585, 1514, 1646, 1247, 606, 6059, 476, 4029, 2600, 540, 519, 2551, 538, 1164, 13867, 2477, 946, 519, 4950, 267, 1152, 835, 1126, 856, 1547, 1280, 5796, 593, 519, 2360, 540, 2029, 593, 2038, 6689, 1646, 3346, 2200, 547, 946, 543, 519, 3259, 540, 942, 1453, 666, 4950, 8213, 1547, 595, 3559, 22855, 804, 15586, 543, 28642, 533, 2848, 9807, 2161, 519, 16411, 538, 2228, 1569, 585, 1453, 543, 14038, 814, 2813, 7834, 4145, 543, 5042, 1646, 2152, 563, 763, 2250, 8717, 814, 2938, 519, 4028, 1646, 543, 16854, 2208, 538, 519, 946, 540, 5907, 267, 2780, 2861, 2792, 543, 1344, 4687, 3842, 519, 4950, 269, 5769, 543, 32705, 1762, 1453, 779, 946, 540, 5904, 543, 519, 4950, 9782, 689, 476, 278, 260, 547, 1646, 543, 4587, 1453, 4612, 873, 693, 513, 811, 1547, 5769, 946, 543, 1126, 1646, 910, 795, 28427, 476, 4097, 630, 1220, 280, 264, 4080, 1100, 4008, 3604, 538, 1153, 2861, 4950, 946, 543, 1152, 835, 4008, 3017, 538, 1753, 2861, 946, 6690, 941, 3648, 811, 2693, 982, 8695, 547, 1867, 1210, 4757, 693, 1753, 269, 901, 1957, 12116, 519, 2078, 1063, 4950, 946, 543, 3670, 2238, 602, 616, 1271, 547, 6689, 1646, 281, 8613, 13156, 267, 11356, 2542, 267, 5925, 6947, 267, 5026, 543, 2168, 3635, 267, 5872, 609, 1920, 267, 543, 1514, 1944, 609, 2828, 269, 634, 554, 1580, 564, 1729, 334, 1788, 568, 513, 19976, 1353, 540, 1753, 4950, 946, 543, 922, 1281, 1210, 519, 4950, 1860, 1453, 781, 1646, 3328, 2085, 540, 1126, 4586, 21609, 3125, 1514, 543, 7209, 1646, 19674, 998, 519, 5872, 540, 1514, 7506, 267, 6211, 30553, 267, 543, 519, 1126, 779, 11269, 540, 519, 1514, 1158, 543, 519, 1582, 269, 6820, 4950, 6165, 4016, 547, 519, 1297, 540, 1004, 945, 946, 519, 4950, 2268, 540, 519, 1158, 2647, 1357, 779, 9295, 547, 1646, 543, 1480, 2924, 1547, 5769, 267, 552, 17733, 267, 543, 3059, 946, 540, 2029, 538, 2038, 6689, 3318, 1646, 13863, 814, 3366, 1018, 2645, 798, 1126, 1416, 4648, 946, 1034, 1419, 269, 5192, 606, 2626, 585, 1412, 6343, 616, 930, 5383, 543, 11393, 540, 4950, 946, 585, 1453, 543, 4950, 786, 3565, 547, 519, 1646, 540, 679, 4925, 267, 596, 32353, 4586, 289, 22877, 519, 15813, 2385, 707, 1126, 2115, 609, 4274, 4930, 543, 1390, 4388, 827, 1126, 1646, 543, 2038, 6689, 1646, 689, 524, 10972, 269, 595, 2572, 17621, 343, 910, 3561, 3877, 630, 13453, 659, 5646, 322, 650, 267, 682, 324, 575, 3796, 267, 533, 8565, 788, 512, 699, 26489, 6767, 2567, 795, 28427, 543, 4996, 680, 2086, 340, 5063, 6069, 519, 8733, 1099, 334, 28175, 17882, 267, 513, 27715, 547, 11487, 325, 523, 321, 1066, 1676, 779, 7811, 3919, 540, 2825, 7506, 593, 1126, 1646, 269, 3657, 972, 1022, 2923, 2640, 585, 1453, 543, 14038, 9811, 26725, 267, 546, 341, 1091, 267, 2780, 3756, 543, 519, 4950, 3895, 1082, 1983, 2923, 2640, 543, 1126, 1646, 269, 4014, 519, 1514, 543, 5626, 5222, 540, 4950, 946, 593, 1453, 616, 1869, 4922, 23503, 267, 519, 2168, 5222, 616, 811, 2312, 607, 609, 824, 25161, 4247, 899, 8384, 8613, 267, 4950, 946, 666, 5372, 2635, 2168, 2238, 899, 5026, 543, 9205, 3635, 267, 3056, 547, 1072, 2360, 899, 8377, 543, 4057, 16757, 1646, 563, 11917, 7295, 6604, 2707, 2780, 23218, 8721, 3014, 30032, 1181, 564, 946, 930, 2090, 538, 1453, 543, 12322, 25161, 7180, 543, 8377, 1646, 538, 1453, 543, 1547, 15474, 2360, 540, 519, 4950, 593, 1453, 1764, 593, 5042, 1646, 1453, 945, 946, 519, 4950, 1397, 12374, 538, 5042, 5759, 971, 607, 3965, 267, 1547, 0, 307, 24546, 20475, 519, 31498, 14212, 540, 2907, 4540, 5389, 267, 2933, 513, 7848, 540, 3979, 267, 6805, 267, 543, 5053, 7506, 609, 2609, 4547, 676, 32228, 2103, 267, 1975, 8643, 1841, 267, 3943, 267, 16586, 267, 14470, 267, 543, 7642, 269, 2368, 19767, 7682, 602, 713, 17059, 3415, 568, 22801, 1317, 621, 13968, 519, 15364, 538, 519, 5826, 540, 1379, 538, 519, 3946, 540, 15354, 31794, 2394, 1134, 883, 519, 14206, 2540, 563, 5804, 1010, 5022, 621, 568, 2312, 602, 667, 990, 345, 1156, 14150, 1185, 2370, 7287, 547, 2132, 547, 519, 3510, 538, 12907, 269, 4595, 2038, 6689, 267, 14861, 1149, 616, 14578, 6534, 547, 6386, 10771, 519, 2956, 540, 8513, 547, 519, 4182, 269, 670, 1638, 1310, 12423, 2883, 1561, 3064, 7724, 269, 4107, 540, 891, 7682, 687, 17589, 689, 2921, 11370, 523, 657, 589, 2231, 607, 11347, 540, 519, 2898, 4182, 267, 855, 1256, 713, 2749, 568, 711, 607, 3043, 607, 621, 568, 2356, 13269, 563, 300, 784, 565, 21847, 1223, 12777, 11878, 585, 2395, 593, 1439, 267, 12008, 543, 4189, 538, 519, 521, 18150, 563, 4537, 718, 713, 1390, 7882, 1054, 540, 519, 1977, 4104, 4734, 1010, 5065, 3693, 2437, 646, 4280, 267, 834, 663, 726, 25128, 883, 519, 1216, 538, 513, 14834, 16311, 609, 519, 16356, 888, 288, 1007, 11156, 729, 9516, 538, 547, 1450, 585, 513, 1007, 2165, 538, 5604, 540, 5449, 5518, 24883, 9093, 655, 269, 634, 15762, 26963, 540, 519, 661, 1276, 30658, 6902, 594, 269, 14861, 1149, 3006, 946, 519, 4082, 834, 9917, 610, 646, 568, 811, 14861, 710, 982, 546, 592, 576, 632, 682, 3832, 269, 769, 1840, 267, 519, 1433, 3568, 2947, 16289, 1182, 281, 6468, 543, 2367, 22401, 693, 1142, 824, 267, 543, 621, 568, 1869, 3833, 1455, 602, 2367, 946, 533, 10098, 1842, 1166, 7398, 622, 748, 24616, 950, 513, 4807, 15211, 676, 563, 5445, 849, 21775, 554, 1938, 543, 10683, 2472, 585, 14446, 267, 9604, 267, 543, 12308, 14475, 538, 4683, 7740, 269, 589, 1486, 326, 540, 27722, 670, 1638, 269, 26479, 314, 12575, 9948, 2368, 8847, 610, 3096, 540, 519, 2165, 654, 1695, 4725, 328, 5771, 1331, 281, 634, 2283, 7081, 540, 519, 7544, 543, 519, 18405, 10771, 1970, 5158, 2418, 543, 1893, 13934, 536, 28123, 12251, 13919, 543, 8789, 5784, 593, 3617, 4775, 2623, 563, 15463, 659, 331, 7978, 6811, 602, 4641, 26251, 538, 513, 1533, 540, 834, 8705, 269, 4317, 31854, 2305, 26643, 543, 10011, 525, 269, 1855, 2851, 1603, 267, 1851, 824, 5396, 267, 693, 519, 8629, 22999, 14288, 4741, 269, 3487, 569, 585, 2804, 4128, 543, 14356, 1317, 540, 2245, 267, 14930, 543, 20766, 1419, 3251, 609, 741, 3237, 2394, 789, 616, 1134, 883, 741, 1000, 550, 625, 610, 2394, 789, 19533, 563, 4407, 6965, 543, 16222, 10645, 519, 2101, 4378, 2293, 267, 5053, 21434, 1143, 849, 3812, 1082, 9089, 28559, 9039, 602, 15180, 539, 1346, 540, 13677, 4207, 11184, 19124, 8845, 269, 5502, 646, 10288, 602, 519, 6705, 581, 5781, 3454, 539, 547, 1489, 1010, 10470, 543, 2104, 4108, 30295, 563, 763, 1286, 822, 753, 543, 2377, 817, 625, 602, 18084, 519, 27245, 3338, 10299, 1007, 3536, 267, 18563, 267, 543, 2093, 689, 835, 3540, 1242, 7535, 547, 519, 1866, 543, 689, 3540, 1242, 20115, 547, 519, 9930, 19631, 9082, 945, 6039, 607, 10827, 2456, 563, 22117, 532, 1079, 610, 1614, 9640, 547, 946, 607, 1121, 870, 338, 267, 27245, 21847, 1223, 6108, 811, 982, 835, 3018, 538, 519, 521, 18150, 543, 267, 950, 20399, 267, 3382, 476, 3199, 610, 476, 3445, 5195, 829, 1554, 269, 15019, 12563, 19264, 20884, 21037, 1557, 267, 8126, 334, 267, 543, 3084, 4224, 941, 1394, 593, 519, 5925, 543, 3084, 8613, 547, 3565, 547, 519, 3084, 16345, 563, 293, 659, 1495, 334, 543, 519, 14716, 540, 14861, 710, 27639, 267, 2311, 10127, 752, 28262, 267, 932, 532, 326, 529, 16679, 31570, 609, 25230, 534, 5640, 827, 875, 547, 4341, 3624, 282, 609, 7332, 8030, 827, 875, 547, 1628, 26362, 9604, 543, 2087, 4123, 609, 519, 3338, 20991, 7178, 282, 543, 609, 667, 7776, 626, 13411, 2367, 267, 7247, 646, 12479, 1223, 1683, 1864, 609, 606, 1714, 1460 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 18477, 9883, 1590, 581, 5219, 563, 3725, 1783, 532, 689, 519, 7833, 1377, 5920, 540, 519, 16880, 267, 519, 7648, 538, 15820, 540, 519, 2235, 2794, 6897, 6801, 607, 835, 12599, 2509, 519, 5087, 610, 5045, 267, 519, 14897, 766, 540, 513, 6928, 7555, 856, 547, 4262, 267, 543, 5310, 824, 9259, 267, 519, 9998, 19936, 9833, 519, 3618, 607, 513, 12106, 267, 543, 789, 14365, 10696, 547, 23754, 922, 7516, 269, 17127, 12211, 602, 519, 22697, 1185, 1336, 519, 18592, 547, 581, 476, 6110, 267, 1822, 588, 611, 807, 630, 12671, 476, 5379, 267, 1822, 5195, 1040, 1809, 661, 7806, 739, 1156, 525, 630, 322, 269, 476, 7742, 645, 5861, 4700, 5526, 547, 723, 1044, 519, 1101, 945, 7038, 539, 606, 4977, 2856, 540, 519, 3741, 593, 799, 519, 8990, 540, 519, 4137, 540, 519, 3618, 2731, 5673, 267, 543, 13986, 547, 2569, 873, 547, 2259, 269, 3571, 2164, 941, 1360, 25619, 267, 855, 1010, 1505, 568, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 604, 584, 322, 566, 5811, 257, 607, 851, 540, 834, 21316, 30388, 1315, 27018, 12307, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 16700, 5035, 2305, 540, 18763, 20260, 832, 543, 17434, 543, 11153, 700, 6636, 692, 1103, 2221, 781, 17254, 4346, 267, 3549, 5051, 7048, 593, 4830, 25255, 3079, 540, 2757, 5520, 547, 1685, 1585, 4247, 269, 2755, 713, 11460, 666, 2709, 8112, 543, 1942, 9806, 585, 4213, 267, 621, 849, 12651, 3656, 4145, 3823, 11832, 8760, 269, 769, 2487, 1296, 267, 972, 814, 1044, 513, 3395, 7678, 1851, 6608, 547, 11523, 1524, 593, 12820, 945, 3765, 5035, 1518, 741, 4600, 607, 4830, 25255, 2864, 982, 5520, 269, 901, 7613, 814, 1713, 6286, 585, 15668, 267, 3226, 4745, 543, 1896, 15668, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 519, 1523, 540, 3765, 5035, 2305, 540, 4830, 25255, 267, 922, 4539, 267, 543, 875, 4745, 543, 1896, 15668, 2501, 883, 1404, 950, 2789, 6105, 616, 3238, 780, 296, 269, 4197, 31287, 5288, 269, 18763, 20260, 528, 19032, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 30210, 17135, 32515, 9466, 814, 9896, 883, 1876, 513, 1297, 540, 12014, 5466, 513, 2647, 5044, 540, 2152, 602, 1223, 3648, 1764, 12820, 538, 519, 4947, 1032, 269, 3367, 593, 585, 606, 7650, 540, 930, 540, 891, 1007, 4031, 543, 741, 1883, 14074, 563, 300, 529, 5035, 2305, 2986, 18763, 20260, 832, 454, 8256, 11962, 609, 519, 7678, 4724, 2229, 968, 28755, 1188, 23957, 892, 593, 12820, 945, 3765, 5035, 1518, 741, 5520, 607, 4830, 25255, 267, 4993, 779, 590, 289, 476, 3393, 280, 630, 23486, 264, 2488, 513, 3102, 1935, 547, 30191, 13230, 4031, 269, 634, 23328, 21892, 519, 1007, 1876, 10238, 1746, 519, 968, 15884, 995, 3765, 5035, 2305, 892, 540, 2043, 607, 4830, 25255, 607, 1134, 607, 519, 2259, 540, 20952, 532, 689, 519, 2628, 3832, 4242, 540, 3765, 5035, 1881, 2043, 1022, 12375, 610, 824, 10997, 602, 1223, 711, 581, 20952, 539, 689, 519, 2628, 3832, 4242, 540, 5520, 630, 324, 3052, 1421, 585, 29683, 267, 27121, 543, 3937, 1040, 634, 968, 15884, 995, 3765, 5035, 2305, 892, 540, 606, 1367, 568, 3989, 607, 968, 28300, 532, 9441, 4567, 585, 606, 1367, 676, 32380, 543, 917, 5944, 3765, 5035, 4328, 602, 967, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 700, 6636, 1315, 17434, 543, 11153, 700, 6636, 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, 634, 544, 1342, 599, 3141, 1025, 18968, 16841, 607, 1234, 5633, 267, 8227, 540, 513, 1507, 6204, 1597, 597, 6300, 538, 17020, 541, 2806, 21353, 267, 26268, 9926, 1146, 781, 14297, 2823, 2749, 267, 588, 1563, 10145, 569, 693, 519, 8900, 8265, 269, 3571, 8912, 5561, 941, 24076, 547, 581, 2938, 282, 519, 7524, 2344, 646, 6785, 1185, 5828, 883, 513, 15293, 4884, 269, 589, 694, 698, 1638, 781, 24949, 3956, 16079, 539, 998, 519, 2011, 267, 14047, 1005, 519, 5394, 16563, 780, 288, 22545, 795, 565, 1540, 1864, 856, 540, 1010, 26871, 773, 269, 898, 729, 18498, 267, 1010, 1279, 5503, 3659, 945, 11262, 519, 15231, 13962, 269, 834, 3725, 5633, 2437, 18498, 30870, 267, 1010, 5639, 5230, 609, 6161, 267, 834, 6011, 616, 596, 8066, 909, 12482, 3725, 5633, 521, 19042, 1354, 14775, 267, 834, 2704, 328, 267, 6455, 723, 20034, 5471, 539, 2094, 519, 6855, 3323, 269, 594, 1810, 1405, 917, 875, 1454, 3476, 594, 666, 1832, 713, 1747, 4881, 3010, 2704, 328, 21330, 1623, 6312, 24312, 269, 834, 296, 1174, 267, 1250, 1870, 568, 10010, 1932, 269, 1809, 1705, 596, 5873, 827, 519, 2229, 5351, 789, 2811, 5356, 286, 10753, 753, 543, 3454, 8323, 338, 585, 1507, 4213, 899, 23600, 3010, 257, 299, 334, 753, 8119, 1234, 5633, 1085, 4752, 539, 269, 834, 6546, 781, 1175, 4946, 811, 7963, 5196, 606, 2907, 29855, 6928, 3010, 257, 28646, 865, 2437, 18498, 8815, 267, 834, 8117, 621, 1522, 4444, 721, 930, 942, 2394, 1919, 1205, 1732, 3010, 1607, 5385, 7000, 741, 3838, 6560, 896, 519, 2597, 540, 519, 6855, 855, 849, 12006, 741, 17804, 5380, 910, 835, 804, 15781, 5196, 4126, 267, 1776, 13151, 17741, 547, 21817, 269, 8616, 267, 1312, 12066, 1194, 609, 519, 10792, 4641, 540, 6668, 1282, 891, 3843, 2053, 780, 291, 904, 2849, 335, 1117, 883, 4374, 267, 543, 7444, 267, 17895, 8271, 267, 1272, 759, 25390, 922, 11733, 269, 2060, 519, 22257, 3076, 5202, 543, 22406, 8990, 267, 1234, 5633, 556, 641, 2989, 1010, 4558, 267, 23344, 15891, 13124, 269, 1261, 7691, 1287, 602, 1256, 1498, 10462, 3138, 15701, 1804, 267, 972, 729, 4313, 538, 15364, 267, 4222, 538, 9322, 267, 543, 4245, 4121, 538, 14488, 780, 7437, 713, 2239, 7828, 267, 649, 1294, 10630, 519, 6626, 4605, 540, 26268, 9926, 1146, 781, 4346, 2022, 4211, 302, 4668, 268, 866, 269, 6145, 9274, 540, 5070, 13346, 1369, 513, 5318, 5662, 6921, 817, 267, 1142, 1367, 781, 1995, 8309, 547, 519, 7104, 9661, 540, 16608, 1996, 782, 12918, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 814, 519, 5046, 268, 866, 6855, 4299, 519, 4346, 540, 26268, 9926, 1146, 267, 543, 1018, 3800, 723, 1044, 3144, 547, 11574, 922, 1764, 593, 4213, 543, 6080, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 1569, 547, 1699, 3377, 543, 2621, 269, 1717, 267, 594, 666, 1683, 930, 2489, 1344, 593, 875, 519, 5046, 268, 866, 6855, 814, 4299, 11615, 543, 1018, 3800, 723, 1044, 3144, 547, 11574, 922, 1764, 780, 763, 5046, 268, 866, 6855, 814, 3361, 1713, 2804, 17522, 5001, 267, 1519, 538, 26268, 9926, 1146, 269, 24371, 543, 6080, 723, 1044, 12936, 1813, 547, 513, 7771, 538, 7082, 3747, 267, 21463, 538, 2518, 3761, 11800, 267, 2229, 21553, 12723, 9505, 23957, 267, 543, 2951, 9993, 780, 294, 4261, 906, 543, 4213, 723, 8045, 513, 2039, 540, 3800, 547, 11574, 519, 2804, 1764, 269, 1452, 1331, 1384, 272, 269, 11038, 6351, 15004, 281, 22749, 723, 9307, 2883, 6351, 3292, 547, 1489, 4213, 543, 2043, 4299, 676, 519, 6855, 269, 1452, 15004, 1331, 12029, 267, 14828, 267, 543, 24307, 780, 273, 269, 12525, 8323, 1687, 340, 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, 8080, 547, 938, 4241, 1158, 540, 4448, 3457, 543, 5100, 1949, 256, 5620, 596, 2479, 9289, 875, 707, 9162, 267, 14233, 267, 610, 1256, 707, 11332, 1223, 834, 339, 1779, 257, 547, 1142, 824, 286, 2107, 1018, 621, 1797, 950, 649, 2161, 602, 1945, 568, 834, 8243, 691, 22172, 4270, 267, 1577, 781, 4685, 883, 713, 13858, 7045, 1927, 2439, 5331, 952, 707, 11442, 1286, 1223, 6494, 6835, 547, 707, 16979, 827, 922, 6007, 1272, 267, 865, 596, 917, 4010, 950, 547, 5279, 621, 909, 1354, 707, 1985, 1404, 5503, 269, 2334, 1131, 581, 7168, 3579, 267, 1318, 286, 901, 2186, 540, 2792, 1063, 4948, 3615, 568, 1572, 519, 834, 25542, 540, 12085, 630, 31166, 1040, 257, 898, 13462, 782, 12204, 540, 3688, 899, 30158, 267, 22311, 267, 6517, 267, 29167, 267, 543, 811, 998, 519, 4950, 267, 3850, 873, 547, 2671, 1344, 609, 835, 1776, 543, 721, 2439, 3086, 267, 1589, 827, 2348, 8596, 1472, 707, 2777, 1765, 339, 4176, 2370, 948, 619, 602, 666, 3713, 2837, 2242, 267, 11195, 2157, 267, 610, 1769, 8515, 269, 1452, 616, 1634, 607, 834, 338, 16428, 5121, 2437, 799, 5531, 1271, 1239, 689, 741, 10450, 1210, 3710, 2987, 7893, 7405, 269, 1280, 3236, 267, 789, 1522, 2995, 707, 2371, 950, 789, 991, 1216, 676, 15392, 3037, 3819, 1145, 610, 6467, 593, 11655, 8850, 950, 11623, 1205, 1932, 3905, 2439, 2691, 891, 14164, 3457, 543, 9300, 5121, 960, 1927, 16900, 267, 649, 1289, 621, 513, 834, 1097, 828, 14428, 9713, 1062, 1701, 5994, 1373, 2111, 547, 1852, 3388, 693, 1753, 20716, 3842, 606, 813, 1107, 7432, 8279, 1055, 543, 593, 267, 14577, 27687, 1846, 267, 1327, 6362, 9885, 267, 543, 1454, 811, 256, 2353, 7064, 547, 6880, 14428, 9713, 1949, 8220, 3059, 10600, 609, 2168, 3283, 780, 4131, 781, 1491, 621, 909, 513, 711, 577, 256, 1548, 952, 938, 19269, 14201, 1405, 1175, 1739, 840, 3491, 13559, 4364, 5528, 855, 2965, 4121, 689, 1995, 267, 15268, 2933, 936, 942, 286, 9373, 3684, 1565, 1107, 1141, 6191, 946, 6620, 547, 1451, 3270, 267, 5431, 2592, 267, 1174, 4633, 267, 610, 3589, 2104, 2621, 1759, 593, 3140, 1239, 269, 3143, 1480, 5752, 2838, 2439, 2690, 1383, 267, 4952, 2866, 513, 2780, 1982, 547, 2697, 1114, 2010, 540, 5613, 676, 6029, 5215, 540, 5961, 13042, 1412, 20625, 10086, 1412, 3316, 3570, 10086, 3092, 1421, 3450, 621, 547, 10646, 5546, 267, 4778, 267, 543, 7306, 269, 2991, 930, 942, 267, 519, 5690, 786, 1831, 21295, 2614, 547, 30387, 1007, 6337, 8308, 269, 15346, 267, 26001, 2496, 3719, 7227, 267, 972, 781, 811, 256, 1703, 781, 849, 713, 3364, 1572, 834, 1372, 788, 1565, 2437, 513, 15410, 540, 3684, 1565, 6273, 676, 5841, 8849, 5121, 1336, 538, 2470, 630, 3697, 1346, 3330, 938, 12058, 1040, 2060, 2620, 1565, 267, 5904, 979, 3564, 2241, 4806, 6284, 282, 789, 1711, 1950, 25327, 540, 2035, 267, 7175, 4359, 3156, 971, 607, 1582, 28391, 6472, 543, 5639, 20843, 780, 7661, 267, 3314, 602, 5883, 782, 891, 10562, 3457, 3340, 3608, 5365, 4393, 2553, 267, 11938, 2409, 267, 3060, 9443, 267, 543, 3006, 1256, 7061, 6620, 269, 5213, 1405, 5855, 1498, 910, 3744, 616, 2324, 2182, 3297, 519, 10207, 547, 2327, 3388, 8255, 12347, 1247, 8497, 1648, 543, 4227, 2825, 1764, 780, 3383, 267, 1934, 649, 616, 910, 25054, 593, 606, 6909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2697, 1018, 568, 513, 1966, 610, 513, 991, 789, 723, 543, 621, 568, 1250, 2816, 547, 2697, 945, 1522, 581, 741, 1489, 269, 901, 814, 5280, 1250, 1053, 2709, 5583, 543, 948, 538, 513, 11295, 1259, 269, 25398, 1489, 593, 519, 5904, 814, 5280, 609, 2810, 4081, 11407, 543, 1514, 4205, 607, 1134, 607, 2285, 513, 11295, 1747, 585, 1053, 547, 1683, 6351, 547, 1142, 824, 269, 31913, 1565, 543, 23483, 3450, 616, 2640, 547, 713, 4640, 607, 1134, 563, 5978, 1053, 1491, 1896, 2228, 10526, 799, 3947, 721, 811, 1239, 593, 1142, 2875, 781, 2542, 1646, 267, 741, 10616, 538, 2542, 267, 543, 741, 9342, 269, 1452, 2228, 10526, 948, 2285, 513, 811, 11455, 1935, 547, 513, 1126, 781, 2542, 1646, 2094, 649, 616, 1210, 2789, 10526, 269, 32087, 616, 519, 10526, 538, 1775, 5649, 344, 267, 519, 5254, 2752, 27617, 267, 543, 3733, 2201, 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 ]
[ 614, 602, 2934, 645, 295, 15221, 278, 13863, 269, 681, 15121, 300, 779, 1007, 3567, 814, 645, 295, 15221, 278, 568, 835, 540, 519, 1034, 2241, 543, 4052, 7471, 11387, 267, 799, 10905, 5123, 2000, 18088, 8520, 5547, 267, 8305, 334, 1958, 18344, 5547, 267, 31092, 5547, 267, 607, 1134, 607, 824, 23937, 269, 6744, 28176, 593, 519, 3095, 2630, 563, 2004, 332, 310, 645, 295, 15221, 278, 853, 699, 334, 12813, 299, 29482, 3690, 2466, 614, 910, 1496, 29791, 2639, 1607, 25439, 29482, 31092, 13462, 538, 3126, 547, 707, 15146, 1899, 543, 18993, 1080, 519, 15146, 6643, 936, 519, 29482, 6512, 950, 596, 4584, 909, 519, 15146, 3946, 564, 269, 3690, 4784, 5365, 666, 581, 22934, 676, 1022, 29482, 17513, 269, 634, 5547, 2882, 606, 968, 4002, 5794, 892, 10896, 13525, 543, 849, 2488, 513, 6467, 799, 666, 581, 1031, 547, 2490, 1055, 519, 31092, 563, 17490, 29482, 3690, 2466, 614, 910, 1496, 29791, 2639, 2467, 616, 1079, 2081, 547, 1451, 20111, 29895, 4165, 28225, 5071, 269, 2290, 568, 547, 979, 547, 519, 6280, 519, 824, 568, 2542, 519, 2376, 2630, 256, 901, 2376, 786, 3391, 596, 998, 968, 339, 7434, 543, 5470, 892, 1935, 547, 19215, 1374, 693, 519, 476, 273, 267, 275, 294, 13703, 2792, 6512, 630, 342, 604, 328, 267, 1990, 580, 23331, 267, 3092, 1040, 634, 1374, 5650, 568, 2312, 2614, 543, 786, 948, 596, 4688, 2462, 942, 593, 707, 1374, 563, 763, 29100, 719, 779, 6651, 547, 20111, 29895, 4165, 28225, 5071, 910, 1496, 29791, 316, 0, 24109, 753, 949, 25058, 2200, 547, 4308, 609, 2916, 2242, 602, 616, 2907, 796, 28300, 762, 267, 1519, 5355, 682, 557, 525, 547, 16641, 8375, 4262, 2157, 267, 8888, 5656, 547, 6023, 2362, 5210, 267, 543, 14335, 21394, 547, 4558, 1216, 602, 5892, 729, 4371, 538, 7823, 6777, 335, 2931, 563, 25823, 22972, 3239, 540, 519, 22236, 5032, 540, 519, 13814, 267, 1141, 11159, 21307, 11538, 8933, 723, 2813, 513, 7372, 18232, 540, 10195, 543, 25825, 538, 519, 10616, 1063, 9381, 546, 17480, 269, 2991, 29099, 4049, 5614, 29500, 10969, 730, 713, 3148, 538, 476, 4198, 274, 267, 519, 10656, 3710, 606, 14969, 1062, 540, 1019, 7719, 267, 23668, 267, 21394, 13123, 267, 543, 25437, 547, 3180, 1394, 519, 3345, 7256, 563, 22498, 270, 14899, 15598, 270, 10933, 2316, 270, 8991, 291, 3722, 32434, 2752, 5308, 543, 772, 2529, 32220, 297, 3253, 589, 4306, 2207, 3163, 12243, 454, 288, 1867, 5950, 2904, 476, 1321, 267, 476, 1001, 272, 267, 689, 519, 2817, 3194, 7027, 556, 3438, 919, 519, 10296, 991, 585, 8101, 2962, 547, 3970, 519, 9588, 540, 2916, 1689, 543, 547, 5965, 2483, 289, 545, 559, 822, 611, 7702, 281, 5682, 654, 4770, 10724, 8310, 21213, 593, 476, 1001, 274, 268, 6860, 268, 6860, 693, 476, 1704, 281, 6187, 454, 1103, 18475, 267, 1082, 2021, 7118, 741, 2713, 676, 11067, 9660, 676, 1688, 267, 799, 7182, 519, 2179, 540, 27445, 789, 666, 798, 1142, 1554, 563, 1692, 1281, 621, 1862, 2859, 19314, 16675, 2679, 8310, 21213, 593, 476, 1001, 273, 268, 6021, 268, 2764, 693, 476, 1691, 281, 1704, 454, 16675, 2679, 568, 519, 2259, 540, 2810, 519, 4398, 609, 799, 5656, 946, 2200, 2443, 1648, 267, 1216, 267, 543, 2326, 2443, 7551, 4227, 513, 1862, 2859, 19314, 21760, 5964, 5211, 1216, 3761, 7831, 21213, 593, 476, 1001, 273, 268, 6021, 268, 1556, 693, 476, 1691, 281, 736, 454, 1607, 6437, 9074, 786, 1413, 693, 519, 12548, 5211, 1216, 3761, 267, 2916, 2152, 543, 1216, 10868, 2152, 269, 1284, 786, 1353, 519, 1239, 267, 519, 2009, 4539, 547, 1585, 1862, 2859, 9732, 0, 288, 1492, 29912, 267, 513, 1455, 4524, 267, 4386, 950, 513, 9761, 6219, 13976, 909, 3330, 519, 16050, 6821, 269, 1306, 621, 7213, 12885, 267, 519, 6219, 5394, 839, 543, 4396, 5809, 269, 1403, 2614, 25173, 267, 519, 16050, 666, 1831, 4625, 17808, 1055, 269, 16183, 29912, 568, 513, 4528, 540, 12091, 3930, 16235, 269, 1717, 267, 519, 1079, 2474, 616, 1419, 1031, 30430, 269, 1306, 1004, 2085, 267, 741, 8458, 540, 3384, 19473, 29912, 2333, 267, 543, 713, 2783, 666, 1291, 547, 2295, 4323, 610, 8482, 563, 27246, 540, 16183, 29912, 454, 763, 1570, 602, 13976, 909, 2059, 519, 16050, 6821, 267, 1634, 607, 15799, 267, 568, 513, 7848, 540, 3170, 543, 8501, 1851, 824, 1919, 269, 3683, 942, 267, 519, 15799, 562, 541, 4900, 543, 13888, 839, 519, 16209, 267, 4227, 1973, 2095, 269, 1403, 519, 10009, 998, 519, 18337, 16209, 3587, 11658, 267, 519, 7274, 540, 1973, 8757, 519, 2295, 949, 581, 4389, 610, 11074, 15587, 269, 901, 666, 1291, 547, 9221, 1928, 267, 26032, 540, 7362, 267, 2295, 4323, 267, 543, 824, 2589, 563, 2691, 4773, 540, 15799, 2736, 2476, 689, 519, 3774, 540, 519, 16050, 543, 20847, 998, 519, 18072, 267, 707, 8458, 540, 2295, 4323, 543, 8482, 2333, 269, 1773, 12120, 12074, 849, 4482, 1973, 28163, 267, 799, 666, 15641, 324, 1973, 2095, 269, 1403, 519, 8052, 4955, 6233, 547, 519, 2295, 267, 9641, 267, 610, 2634, 267, 621, 949, 9594, 513, 8482, 267, 2295, 4323, 267, 610, 17422, 2377, 565, 1143, 563, 288, 1492, 29912, 11485, 11790, 454, 32391, 2188, 585, 19473, 29912, 1331, 912, 18128, 2064, 2982, 602, 891, 22074, 723, 849, 1044, 4448, 547, 19473, 29912, 912, 21618, 540, 16183, 29912, 454, 23777, 1227, 267, 1004, 7092, 689, 19473, 29912, 798, 711, 1995, 1022, 1644, 2589, 8259, 1973, 2095, 568, 4389, 610, 11074, 269, 1403, 713, 568, 519, 2013, 267, 519, 1268, 949, 5469, 9221, 610, 1850, 9636, 267, 4470, 593, 519, 4299, 16050, 269, 6884, 267, 2589, 1459, 2933, 1152, 952, 519, 1268, 568, 9308, 3742, 563, 288, 10629, 786, 4440, 4363, 513, 1970, 19339, 2732, 267, 2597, 2530, 952, 596, 616, 17324, 267, 543, 3635, 547, 1521, 19473, 29912, 269, 589, 3099, 540, 6646, 666, 581, 3144, 547, 4383, 19473, 29912, 267, 543, 1973, 6094, 2996, 949, 581, 13950, 547, 8396, 519, 5250, 540, 28163, 269, 16952, 13310, 5061, 949, 581, 11311, 547, 2569, 8501, 543, 2226, 2635, 1973, 2604, 563, 288, 1492, 29912, 666, 3565, 547, 18337, 2295, 2068, 269, 1403, 596, 723, 1044, 8995, 609, 713, 2068, 267, 855, 596, 616, 711, 18071, 1022, 2589, 267, 596, 949, 581, 5701, 609, 2564, 5773, 1634, 607, 2587, 328, 6955, 7360, 543, 588, 550, 532, 269, 4911, 328, 6955, 7360, 1281, 711, 2333, 14438, 267, 855, 621, 666, 948, 7413, 2587, 2088, 543, 824, 2589, 540, 18337, 2295, 2068, 269, 769, 1840, 267, 621, 666, 4688, 707, 1272, 1282, 513, 2295, 4323, 269, 4033, 2550, 949, 581, 2838, 547, 10929, 513, 5650, 1634, 607, 606, 1439, 691, 699, 551, 3912, 547, 1205, 7759, 540, 15799, 563, 293, 650, 856, 713, 1106, 585, 513, 17676, 267, 8056, 18957, 267, 8865, 16214, 0, 1103, 519, 4400, 270, 9928, 2100, 1935, 267, 3610, 543, 1453, 616, 3742, 4891, 538, 519, 1565, 1184, 269, 901, 7059, 1935, 547, 2937, 30512, 5872, 734, 10193, 1572, 834, 842, 30102, 3450, 257, 910, 568, 2565, 547, 519, 7145, 540, 519, 1982, 269, 898, 2882, 2553, 585, 8716, 1565, 538, 1808, 1543, 2127, 607, 1134, 607, 2994, 585, 4543, 1453, 8207, 4655, 563, 763, 2230, 543, 2326, 538, 513, 4400, 270, 9928, 2100, 4259, 616, 5402, 11231, 547, 3895, 3742, 1565, 269, 634, 4099, 568, 5258, 883, 1719, 2127, 6896, 1472, 1808, 5686, 540, 1404, 282, 585, 1383, 267, 3625, 1858, 267, 2777, 1858, 267, 1507, 11442, 1858, 267, 5070, 7146, 21226, 1858, 267, 543, 1148, 1858, 563, 11947, 270, 9928, 2100, 3610, 2285, 23021, 513, 2631, 540, 1852, 936, 519, 2621, 540, 519, 1554, 676, 4058, 513, 5812, 3232, 6296, 602, 6087, 519, 1453, 547, 18783, 1018, 4523, 1985, 269, 6239, 2609, 540, 519, 9251, 3232, 6296, 1331, 519, 1544, 28273, 21623, 5311, 267, 1507, 268, 543, 1804, 31228, 2053, 267, 28551, 942, 543, 3544, 942, 563, 763, 6437, 568, 3710, 1472, 4116, 268, 543, 1126, 2987, 527, 7007, 1565, 2238, 538, 2947, 1292, 6437, 1543, 2127, 281, 4485, 547, 1565, 282, 1893, 267, 7924, 267, 1299, 2792, 282, 1514, 543, 3929, 1646, 282, 2168, 1646, 267, 1072, 267, 543, 1134, 5630, 282, 543, 6575, 543, 9443, 269, 10738, 891, 2127, 616, 476, 6812, 1883, 11095, 10832, 630, 845, 28861, 1572, 834, 4486, 2833, 8442, 2443, 28507, 2038, 6689, 19325, 602, 3391, 3610, 607, 789, 1544, 1565, 2833, 543, 2170, 609, 1453, 269, 0, 28723, 9255, 618, 630, 4338, 264, 5358, 454, 28723, 9255, 618, 630, 4338, 264, 568, 513, 1982, 13950, 676, 519, 5441, 8274, 538, 799, 1164, 3506, 666, 2709, 2852, 7400, 6030, 269, 4841, 19801, 538, 6673, 6030, 616, 7318, 593, 513, 3084, 1449, 1554, 538, 2904, 269, 13689, 593, 741, 6060, 267, 789, 949, 267, 543, 1419, 798, 267, 7118, 2852, 5491, 543, 5924, 2744, 2038, 1569, 547, 5580, 7400, 2852, 5049, 269, 634, 11400, 616, 20639, 593, 513, 4336, 540, 476, 272, 547, 476, 276, 267, 609, 519, 3446, 540, 476, 276, 8391, 519, 12773, 540, 968, 2169, 3153, 569, 1134, 11727, 1848, 13575, 267, 513, 6060, 540, 476, 274, 610, 1657, 1274, 985, 2852, 5491, 563, 1103, 2904, 476, 1001, 273, 267, 476, 8064, 272, 6673, 11400, 538, 476, 1428, 5396, 941, 605, 551, 1819, 547, 476, 29024, 10457, 693, 10513, 18780, 9142, 269, 769, 519, 4147, 540, 476, 1001, 273, 267, 476, 7176, 260, 2893, 585, 693, 2547, 835, 6673, 981, 1282, 741, 1296, 693, 519, 9142, 267, 10452, 519, 1153, 779, 7029, 547, 3246, 3376, 1569, 547, 519, 1982, 269, 4841, 616, 711, 27424, 267, 855, 616, 9415, 547, 4161, 2933, 676, 2921, 6673, 5049, 607, 3617, 269, 2353, 1053, 19801, 538, 606, 6673, 1362, 616, 2838, 547, 1491, 519, 7222, 6673, 981, 563, 7628, 519, 476, 1001, 272, 1700, 1001, 273, 4081, 1032, 267, 476, 11025, 269, 279, 260, 540, 519, 8464, 12236, 593, 519, 476, 8064, 272, 6673, 1401, 4461, 538, 2904, 476, 1001, 273, 941, 513, 476, 274, 610, 2362, 282, 476, 4649, 269, 272, 260, 941, 513, 1283, 3446, 540, 476, 275, 610, 476, 276, 563, 1103, 519, 4147, 540, 476, 1001, 273, 267, 476, 7176, 260, 2893, 585, 693, 2547, 835, 6673, 981, 267, 476, 4817, 260, 12236, 513, 476, 274, 610, 1657, 593, 835, 610, 811, 11400, 267, 543, 476, 5780, 260, 941, 3957, 6673, 18623, 563, 295, 8432, 18780, 9142, 3091, 606, 3573, 5542, 540, 11628, 9255, 618, 6030, 538, 519, 2127, 540, 3203, 3778, 267, 10334, 267, 20145, 267, 8950, 3163, 267, 2296, 5678, 543, 9085, 267, 3943, 5678, 267, 8535, 7869, 267, 8212, 267, 10017, 267, 5053, 5678, 267, 10803, 267, 22456, 3203, 267, 772, 2529, 269, 3778, 267, 543, 2622, 3778, 563, 8310, 8242, 281, 5181, 476, 1001, 273, 0, 25565, 27478, 10632, 454, 25565, 27478, 10632, 454, 1607, 3992, 1544, 568, 2966, 547, 581, 1031, 609, 1053, 9907, 476, 1321, 268, 1428, 1296, 563, 10743, 786, 1451, 827, 2757, 27478, 3756, 543, 519, 1909, 891, 3756, 1404, 538, 1272, 538, 519, 11848, 563, 303, 4202, 540, 1053, 610, 1507, 2516, 540, 1053, 786, 1451, 835, 3014, 543, 6542, 621, 547, 519, 1362, 563, 272, 1362, 1974, 630, 652, 13846, 994, 268, 14044, 7467, 540, 454, 28657, 630, 9188, 18587, 540, 2757, 27478, 3756, 2187, 268, 10515, 625, 540, 454, 29715, 687, 585, 4730, 2757, 27478, 3756, 630, 528, 1053, 949, 3643, 3135, 2187, 268, 595, 6195, 21287, 2676, 257, 6635, 8157, 15604, 10632, 13426, 268, 834, 6635, 8157, 15604, 454, 272, 9105, 1053, 547, 2012, 930, 540, 741, 19463, 5026, 543, 3756, 269, 5903, 873, 593, 519, 4604, 563, 273, 9105, 952, 4896, 1147, 12028, 286, 4787, 529, 286, 1548, 2188, 3310, 1946, 930, 1004, 1831, 21295, 538, 1978, 5026, 543, 3756, 543, 1866, 1810, 1405, 286, 630, 30873, 267, 1604, 267, 2724, 267, 10333, 547, 2326, 267, 3092, 1916, 274, 9105, 1053, 547, 1589, 827, 1018, 789, 4312, 4121, 865, 2484, 827, 1272, 538, 519, 11848, 543, 27478, 2528, 563, 1432, 5026, 17320, 1868, 1131, 789, 2503, 616, 711, 2442, 538, 715, 684, 822, 583, 286, 4208, 888, 275, 3816, 785, 1053, 602, 1272, 538, 519, 11848, 568, 1360, 4101, 269, 1703, 616, 1614, 3275, 540, 5162, 14334, 10483, 676, 16171, 5210, 19011, 1645, 910, 1789, 4113, 17622, 11196, 2420, 13790, 1040, 10632, 1404, 513, 1360, 1271, 1909, 538, 15268, 547, 519, 4049, 1604, 269, 3509, 3756, 4125, 2168, 4222, 267, 22231, 543, 16608, 269, 769, 1840 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7394, 5212, 525, 269, 1452, 669, 7394, 5212, 525, 267, 950, 6743, 693, 607, 513, 5649, 2859, 19185, 15332, 519, 17183, 693, 31434, 2961, 951, 24130, 32133, 9293, 17723, 1923, 12728, 476, 274, 9664, 2005, 4667, 538, 1272, 602, 649, 1419, 1413, 693, 1919, 1510, 2731, 7487, 873, 269, 31434, 2961, 591, 9727, 538, 17723, 14214, 12953, 30755, 257, 29272, 14366, 12728, 14214, 12953, 602, 3168, 568, 2404, 547, 2168, 5075, 267, 855, 7487, 3322, 513, 4514, 1377, 540, 7029, 269, 634, 2278, 568, 1818, 519, 1448, 950, 596, 2322, 3054, 883, 2576, 1714, 4513, 10887, 543, 1450, 3054, 547, 1294, 1919, 519, 1259, 789, 1294, 873, 267, 621, 666, 581, 519, 1034, 14785, 543, 3750, 6679, 1995, 269, 4438, 519, 1163, 3789, 267, 519, 15669, 2982, 602, 646, 814, 1100, 2042, 609, 32416, 543, 646, 568, 5827, 5649, 2859, 291, 584, 5069, 24130, 4828, 5952, 275, 9293, 17723, 1923, 12728, 476, 275, 9664, 291, 584, 5069, 24130, 20736, 5069, 24130, 568, 835, 540, 519, 9510, 1806, 540, 4936, 525, 4302, 6189, 1459, 538, 4789, 2221, 269, 4014, 519, 26720, 729, 6192, 538, 519, 2038, 476, 1321, 628, 2540, 972, 616, 4191, 540, 20096, 6189, 1459, 1813, 547, 519, 2673, 6935, 540, 4936, 525, 4302, 543, 20096, 6163, 269, 769, 7917, 8857, 1206, 1433, 634, 20096, 27617, 646, 11828, 875, 519, 2038, 20096, 2511, 15504, 8185, 689, 519, 4936, 525, 4302, 2511, 540, 6189, 543, 3710, 2390, 922, 2596, 4798, 269, 20736, 5069, 9697, 1117, 23552, 3573, 1686, 5649, 2859, 763, 2052, 26248, 24130, 4828, 16348, 272, 9293, 17723, 1923, 12728, 476, 1556, 9664, 763, 2052, 26248, 24130, 1280, 693, 2547, 27552, 4627, 1296, 519, 10847, 540, 2696, 814, 1044, 6035, 593, 519, 3135, 540, 713, 24130, 267, 543, 998, 519, 19001, 540, 519, 5783, 1010, 1379, 543, 11419, 723, 8032, 1480, 2729, 269, 17451, 2094, 519, 12638, 540, 5246, 29989, 7338, 23894, 564, 538, 519, 24130, 538, 476, 14056, 271, 267, 2052, 26248, 814, 13631, 5215, 540, 19623, 338, 269, 901, 2245, 5170, 547, 713, 1554, 267, 543, 513, 1804, 2319, 540, 21969, 1260, 619, 267, 20929, 267, 24130, 32113, 1218, 543, 24755, 680, 1622, 616, 972, 547, 2285, 782, 8436, 513, 3636, 10950, 5649, 2859, 26046, 30912, 24130, 267, 7977, 4828, 4037, 272, 9293, 17723, 1923, 12728, 476, 275, 623, 698, 652, 515, 1647, 540, 30912, 267, 7977, 538, 519, 623, 807, 3960, 334, 1642, 13660, 27622, 568, 30912, 24130, 267, 519, 4102, 20096, 26720, 543, 519, 2034, 4102, 7826, 26720, 538, 519, 1158, 269, 634, 16538, 543, 9703, 23079, 616, 1659, 15564, 25378, 267, 4971, 532, 2463, 538, 938, 2413, 1554, 942, 1974, 543, 1279, 3516, 1282, 519, 942, 5712, 538, 799, 519, 30912, 24130, 729, 9112, 269, 634, 26720, 849, 12236, 2463, 676, 1373, 519, 4099, 585, 2146, 3252, 269, 634, 30912, 24130, 814, 9018, 4463, 540, 476, 21497, 10264, 543, 513, 5021, 8700, 540, 476, 23714, 10264, 3850, 454, 26607, 11888, 267, 2904, 476, 1724, 267, 476, 1708, 271, 454, 25456, 3877, 9664, 281, 476, 1724, 9293, 281, 476, 4343, 274, 278, 20042, 281, 476, 278, 11261, 3773, 281, 476, 1001, 278, 270, 6187, 270, 2918, 21145, 10803, 4828, 9894, 596, 899, 713, 1383, 286, 6153, 9746, 10350, 568, 519, 1883, 585, 519, 1870, 3919, 1967, 269, 23654, 10350, 6045, 519, 3652, 540, 12044, 281, 4604, 2497, 267, 9946, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 543, 12545, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 24539, 13180, 267, 3375, 1318, 676, 519, 4604, 543, 519, 16628, 267, 19588, 540, 519, 4604, 543, 16628, 267, 2671, 14516, 13359, 267, 7963, 270, 3225, 640, 8804, 267, 23930, 7282, 1491, 1478, 543, 3092, 269, 4935, 267, 519, 9746, 10350, 666, 581, 3989, 607, 513, 1305, 875, 519, 12250, 6582, 543, 1198, 519, 9746, 3375, 1818, 630, 30761, 267, 476, 1960, 279, 1040, 5213, 12728, 14214, 24149, 10634, 339, 3653, 942, 256, 3776, 5830, 786, 1711, 606, 3312, 834, 7072, 17461, 540, 519, 5530, 257, 1557, 585, 596, 8073, 1931, 9603, 547, 519, 4057, 9746, 10350, 267, 519, 7489, 476, 1960, 278, 270, 7176, 6433, 814, 4299, 1082, 3549, 1519, 519, 6554, 13017, 14992, 630, 294, 9448, 264, 1472, 519, 3148, 1317, 540, 519, 4057, 9746, 10350, 2853, 799, 10630, 519, 9746, 3375, 1818, 269, 19881, 3173, 723, 1336, 4057, 9746, 10350, 5161, 540, 936, 6122, 591, 1645, 630, 293, 337, 6471, 267, 667, 10611, 267, 595, 6185, 10327, 573, 267, 476, 1220, 277, 5148, 19330, 540, 12477, 267, 11413, 543, 2883, 23930, 630, 300, 527, 2023, 267, 476, 1220, 273, 264, 723, 7506, 547, 519, 2754, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 338, 5821, 269, 5015, 267, 538, 519, 2136, 2276, 267, 1082, 5767, 2883, 8989, 23215, 1023, 723, 1044, 3361, 676, 519, 4057, 9746, 10350, 799, 814, 23388, 1282, 519, 2883, 8989, 1184, 630, 13070, 3863, 531, 932, 611, 3873, 267, 476, 1220, 276, 1040, 4107, 540, 519, 9746, 10350, 14286, 2665, 6592, 538, 17111, 616, 1644, 547, 536, 3739, 10325, 12611, 267, 2883, 3948, 12611, 267, 5520, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 12611, 543, 3765, 1952, 10187, 566, 540, 7221, 630, 295, 16336, 267, 476, 1220, 277, 1040, 9483, 6760, 4890, 18802, 476, 1220, 278, 4951, 2667, 564, 3765, 1952, 10187, 566, 630, 3607, 15992, 4856, 8306, 543, 536, 686, 25053, 630, 2190, 15992, 19098, 17793, 644, 630, 1428, 15992, 14559, 700, 879, 837, 532, 630, 276, 15992, 7379, 26418, 618, 630, 280, 8472, 543, 1866, 630, 278, 8472, 2665, 630, 623, 342, 290, 1325, 1068, 17136, 3143, 269, 7761, 267, 476, 1220, 278, 1040, 4935, 267, 1759, 593, 519, 623, 342, 290, 1325, 1068, 18802, 6045, 602, 519, 4057, 9746, 10350, 3361, 585, 519, 2804, 6760, 269, 901, 8579, 1344, 814, 4665, 919, 713, 1353, 547, 4983, 2417, 519, 1764, 593, 519, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 799, 3310, 676, 519, 9746, 10350, 269, 476, 273, 269, 271, 9046, 15048, 6452, 5596, 540, 519, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 5673, 593, 1082, 2188, 602, 17589, 547, 3035, 519, 6111, 540, 15980, 269, 8890, 7370, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 616, 519, 1344, 2139, 538, 519, 3854, 2344, 602, 6402, 519, 2883, 543, 1875, 1922, 514, 2574, 1344, 547, 7447, 519, 15271, 630, 19913, 23124, 267, 476, 1960, 272, 1040, 634, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 849, 3095, 1137, 547, 519, 9746, 10350, 269, 19881, 1353, 2982, 1732, 9746, 10350, 11148, 547, 3390, 811, 1808, 6111, 540, 519, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 630, 288, 329, 1074, 5984, 267, 645, 1817, 1690, 267, 590, 15115, 24473, 267, 476, 1220, 276, 1040, 1635, 731, 543, 1284, 842, 1886, 630, 1220, 277, 264, 1265, 1732, 9746, 10350, 6109, 3565, 547, 1732, 25566, 9472, 269, 634, 1991, 2090, 1397, 519, 2078, 1063, 519, 9746, 10350, 814, 3310, 519, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 269, 1703, 616, 5817, 6436, 971, 607, 8116, 1942, 1141, 4766, 519, 1966, 1063, 519, 9030, 543, 8665, 799, 519, 8051, 12623, 13240, 1344, 608, 1080, 1063, 519, 6105, 269, 769, 713, 1353, 2073, 519, 3173, 3494, 9746, 10350, 568, 547, 2569, 1344, 12623, 13240, 269, 901, 1353, 23297, 519, 8116, 3069, 1317, 9562, 2497, 568, 946, 607, 835, 540, 519, 1852, 4756, 1141, 519, 11001, 11099, 519, 5697, 3549, 786, 723, 9668, 1063, 9562, 543, 2359, 799, 786, 2014, 547, 8116, 1966, 269, 19881, 1353, 1265, 9946, 723, 811, 593, 1279, 2165, 1719, 2864, 982, 519, 1719, 540, 2671, 14516, 630, 310, 5793, 267, 476, 1960, 280, 1040, 634, 1966, 14340, 1063, 519, 9614, 543, 2671, 14516, 4299, 519, 2318, 1909, 540, 9746, 10350, 1316, 2213, 538, 519, 2754, 269, 5015, 267, 519, 15428, 540, 14570, 1014, 8943, 540, 23654, 26291, 630, 300, 6717, 294, 264, 538, 5239, 476, 1220, 278, 814, 8476, 519, 9746, 10350, 1316, 2213, 538, 519, 1896, 3344, 269, 634, 2242, 538, 631, 6717, 294, 723, 12592, 713, 1353, 547, 1265, 519, 3310, 540, 631, 6717, 294, 1354, 519, 15428, 543, 1310, 519, 15428, 4724, 519, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 538, 1857, 7396, 3549, 269, 901, 1353, 786, 4983, 519, 2188, 540, 9746, 10350, 602, 3310, 519, 24980, 543, 5470, 540, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 269, 4935, 267, 519, 1966, 3948, 585, 713, 1353, 568, 547, 4983, 519, 24980, 543, 5470, 540, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 3310, 676, 519, 9746, 10350, 2497, 269, 476, 273, 269, 272, 3194, 5999, 476, 272, 269, 1548, 568, 519, 1198, 540, 9746, 10350, 547, 519, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 286, 476, 273, 269, 1215, 519, 9746, 10350, 2188, 3310, 519, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 286, 476, 274, 269, 1548, 616, 519, 2360, 540, 631, 6717, 294, 15428, 4724, 519, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 286, 476, 273, 269, 273, 3194, 20505, 23654, 10350, 6971, 519, 8051, 1344, 12623, 13240, 1063, 513, 2754, 543, 9520, 269, 476, 273, 269, 8274, 540, 8689, 3608, 1909, 538, 9746, 10350, 3310, 519, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 269, 476, 274, 269, 634, 15428, 631, 6717, 294, 798, 3986, 519, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 269, 476, 274, 269, 271, 19043, 540, 519, 5530, 269, 634, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 568, 606, 1271, 1883, 547, 3986, 519, 9520, 8746, 269, 634, 8746, 2157, 540, 9520, 616, 4470, 593, 519, 2344, 3747, 540, 606, 13539, 799, 2268, 676, 1210, 519, 2139, 1344, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 338, 538, 519, 1857, 547, 9472, 519, 2754, 2773, 269, 901, 1353, 786, 946, 9746, 10350, 4632, 971, 607, 519, 17723, 2485, 351, 12728, 14214, 2485, 361, 12728, 12882, 4753, 302, 667, 7081, 12856, 267, 519, 4830, 540, 519, 8274, 267, 634, 2450, 540, 519, 8274, 543, 634, 26291, 10020, 540, 10748, 527, 8758, 21164, 269, 6452, 5596, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 786, 957, 607, 513, 21285, 585, 519, 2298, 540, 519, 10909, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 4398, 543, 7145, 547, 3035, 519, 6111, 540, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9472, 269, 5015, 267, 547, 9305, 1063, 519, 25566, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 30755, 257, 338, 9472, 6111, 543, 10909, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 10350, 267, 713, 1353, 2882, 1079, 1305, 540, 1852, 4756, 971, 607, 10909, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 9562, 2497, 543, 9472, 16880, 602, 5540, 519, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 10634, 12882, 2485, 351, 9472, 6111, 630, 3528, 731, 267, 9149, 267, 654, 842, 1886, 267, 476, 1220, 277, 1040, 19881, 1353, 9060, 602, 4057, 9746, 10350, 11148, 547, 2569, 519, 8746, 1377, 540, 9520, 630, 5591, 867, 514, 267, 476, 1960, 280, 1040, 13405, 3173, 1265, 4057, 9746, 10350, 5012, 547, 12161, 538, 8989, 519, 2883, 3356, 630, 13070, 3863, 531, 932, 611, 3873, 267, 476, 1220, 276, 1040, 9122, 538, 1082, 12170, 2090, 267, 713, 1353, 786, 3565, 547, 3986, 519, 20090, 8746, 1377, 543, 14439, 799, 9746, 10350, 4632, 616, 8309, 543, 3310, 547, 3035, 519, 6111, 540, 9472, 19767, 12728, 2485, 351, 12728, 14214, 2485, 361, 12728, 14214, 2485, 351, 269, 5015, 267, 519, 15428, 538, 14570, 1014, 8943, 540, 23654, 26291, 538, 476, 1220, 278, 786, 1764, 547, 519, 2754, 4540, 9746, 10350, 269, 4935, 267, 713, 1353, 786, 4983, 519, 1198, 540, 1991 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2170, 609, 519, 1158, 1472, 596, 538, 513, 1007, 1259, 269, 2334, 779, 1318, 281, 596, 666, 2170, 609, 1004, 543, 3615, 602, 616, 711, 9308, 972, 269, 1411, 3580, 581, 2111, 547, 1745, 899, 596, 2461, 851, 540, 930, 2897, 3116, 267, 2436, 621, 779, 513, 1747, 1141, 3025, 14753, 2296, 610, 952, 621, 779, 606, 3504, 10806, 689, 1776, 942, 1974, 563, 3080, 540, 1250, 5172, 1919, 827, 15283, 568, 875, 1930, 25804, 621, 2636, 721, 607, 3425, 547, 4952, 938, 2104, 30441, 29932, 1256, 1175, 835, 1554, 538, 519, 2104, 950, 649, 723, 811, 942, 593, 938, 3946, 2336, 2005, 4465, 1406, 581, 1279, 1354, 707, 3214, 616, 554, 10541, 563, 29919, 4641, 568, 513, 1390, 1259, 547, 1995, 1007, 1919, 269, 898, 779, 849, 513, 1390, 1259, 547, 2119, 1354, 596, 4444, 267, 543, 621, 666, 581, 1031, 607, 513, 1565, 1907, 585, 3214, 269, 14044, 4641, 568, 899, 606, 9101, 689, 519, 1483, 1158, 267, 865, 596, 1522, 1616, 547, 1589, 827, 2436, 621, 1131, 581, 5363, 585, 707, 1126, 952, 789, 991, 835, 950, 789, 2461, 19252, 693, 1753, 610, 723, 8373, 12008, 693, 3781, 563, 763, 1655, 851, 827, 5691, 4641, 568, 602, 972, 616, 865, 1082, 2833, 856, 972, 602, 1100, 2339, 1018, 2186, 540, 1268, 596, 616, 610, 1018, 2186, 540, 4690, 596, 723, 1765, 341, 23709, 4641, 814, 1945, 585, 3025, 2336, 2005, 779, 513, 1390, 1259, 547, 2119, 1354, 596, 4444, 563, 29919, 4641, 2833, 616, 513, 1390, 1259, 547, 2119, 1354, 596, 4444, 269, 1411, 666, 2119, 621, 693, 1753, 267, 693, 513, 3659, 779, 2777, 610, 538, 513, 15283, 9095, 1228, 269, 1703, 616, 849, 15882, 602, 2709, 5691, 4641, 19150, 540, 4583, 6753, 1472, 519, 1158, 543, 1256, 6249, 11614, 609, 741, 1378, 18845, 1759, 593, 5691, 4641, 2029, 2336, 2791, 666, 946, 621, 693, 1753, 610, 979, 856, 593, 519, 4884, 2336, 2791, 666, 946, 519, 15283, 2212, 3553, 693, 1753, 610, 979, 856, 593, 519, 4884, 2336, 2791, 666, 946, 621, 9170, 596, 899, 267, 2436, 602, 779, 538, 707, 1378, 1753, 610, 538, 513, 1857, 1747, 563, 2005, 779, 849, 1390, 585, 1895, 2238, 899, 8384, 9413, 1927, 610, 4730, 3756, 609, 2828, 543, 1920, 2818, 563, 2252, 596, 723, 606, 744, 1529, 639, 681, 3424, 267, 28932, 2426, 717, 792, 15283, 267, 610, 5616, 4303, 323, 3195, 15283, 2212, 3553, 267, 972, 616, 5691, 4641, 2833, 2282, 596, 454, 2252, 596, 723, 606, 744, 1529, 639, 681, 3424, 267, 28932, 2426, 717, 792, 15283, 610, 5616, 4303, 323, 3195, 15283, 2212, 3553, 267, 972, 616, 5691, 4641, 2833, 2282, 596, 269, 1452, 3457, 616, 1390, 585, 519, 1753, 543, 666, 581, 1031, 609, 513, 3099, 540, 824, 3457, 899, 519, 2473, 7901, 2290, 590, 543, 13662, 275, 1160, 563, 763, 1655, 15283, 2833, 616, 538, 707, 1378, 1753, 610, 3838, 2230, 1141, 3025, 666, 2972, 873, 1927, 2336, 2171, 4126, 713, 2376, 814, 2016, 596, 513, 1732, 1620, 540, 519, 1082, 2081, 596, 666, 946, 5691, 4641, 269, 6787, 596, 2461, 606, 4810, 15283, 3593, 610, 1175, 3478, 3323, 267, 891, 2833, 616, 2386, 547, 581, 4502, 707, 942, 269, 0, 295, 9994, 8696, 568, 513, 942, 585, 15293, 338, 267, 979, 4565, 1231, 267, 17711, 267, 543, 24853, 269, 898, 779, 513, 9702, 14869, 539, 538, 5553, 6040, 5389, 543, 9976, 676, 6634, 1472, 519, 1158, 269, 1809, 3564, 519, 5432, 13544, 27984, 685, 268, 17427, 3179, 543, 8945, 11399, 2389, 11661, 267, 972, 616, 930, 4241, 543, 14758, 8153, 5013, 1644, 547, 713, 552, 24809, 8317, 269, 3371, 779, 513, 2620, 4685, 883, 2947, 10578, 19343, 1249, 7410, 912, 272, 269, 19343, 779, 3689, 24722, 645, 1662, 281, 634, 2140, 585, 519, 1101, 772, 2529, 269, 2749, 547, 3984, 513, 19343, 11812, 4422, 547, 1323, 24499, 267, 16506, 269, 769, 476, 4572, 271, 267, 789, 4956, 547, 12235, 513, 19343, 5428, 267, 17935, 547, 15658, 1762, 929, 1678, 9094, 269, 634, 11812, 729, 865, 12021, 602, 267, 538, 476, 4350, 278, 267, 6837, 13166, 11280, 1323, 24499, 607, 968, 763, 19343, 13317, 540, 519, 2622, 1848, 4653, 267, 5323, 1407, 540, 19343, 12439, 26600, 547, 1323, 24499, 1142, 1032, 547, 6443, 519, 7908, 8481, 563, 273, 269, 634, 19088, 540, 7313, 2581, 539, 15443, 344, 281, 2552, 9009, 547, 7839, 3661, 543, 4683, 17691, 267, 972, 18387, 1406, 1044, 513, 20240, 2013, 540, 2043, 4758, 856, 512, 20557, 17711, 547, 5667, 639, 1051, 532, 8945, 11399, 2389, 805, 619, 269, 2755, 13657, 568, 2141, 15695, 267, 713, 1880, 4250, 3788, 811, 7242, 982, 4641, 563, 274, 269, 8738, 3455, 3751, 779, 670, 17481, 5548, 697, 281, 16258, 1426, 3576, 513, 15293, 569, 2490, 950, 8738, 3455, 3751, 5189, 513, 19343, 2389, 1335, 539, 3276, 3455, 10023, 513, 3109, 536, 684, 269, 1717, 267, 519, 838, 809, 344, 1521, 1185, 606, 6397, 513, 1111, 699, 977, 1107, 621, 5828, 6800, 685, 22454, 883, 513, 1376, 1782, 12094, 540, 19440, 3039, 2336, 275, 269, 634, 21824, 540, 19343, 281, 634, 2165, 6341, 327, 664, 22785, 1522, 3280, 6939, 545, 267, 855, 621, 4016, 547, 606, 19450, 4250, 540, 19343, 269, 634, 2012, 15244, 1394, 547, 519, 3504, 22966, 1206, 945, 16033, 730, 513, 13037, 3957, 6341, 327, 664, 267, 14120, 519, 1439, 540, 519, 7556, 4005, 563, 276, 269, 4563, 19949, 543, 19343, 281, 4563, 7314, 267, 1419, 2404, 609, 26734, 543, 3983, 9939, 267, 616, 538, 3747, 607, 19343, 544, 2444, 1824, 269, 1717, 267, 1082, 3662, 24181, 723, 513, 3609, 1996, 12561, 873, 856, 1472, 19343, 267, 1813, 547, 4145, 936, 1761, 9161, 24279, 563, 1607, 5239, 476, 4029, 560, 267, 607, 596, 2972, 519, 15361, 267, 13000, 267, 543, 12636, 7302, 3739, 1187, 267, 3314, 891, 28031, 5652, 5013, 547, 2671, 609, 8284, 19343, 11240, 619, 256, 0, 1103, 519, 1158, 540, 11418, 267, 1620, 513, 1883, 6467, 11443, 6516, 666, 1118, 782, 519, 3017, 538, 519, 1967, 540, 707, 1788, 269, 6787, 596, 616, 513, 3318, 27637, 610, 513, 18789, 27423, 267, 1620, 875, 547, 5265, 5911, 513, 1883, 6467, 666, 4688, 596, 942, 267, 2724, 543, 14331, 563, 288, 1883, 6467, 568, 513, 1826, 540, 5122, 6467, 602, 568, 1031, 547, 1852, 513, 5547, 267, 2356, 609, 513, 1883, 610, 824, 1826, 540, 17452, 269, 6206, 17176, 616, 3335, 1031, 538, 3354, 1949, 267, 1569, 1852, 1949, 267, 543, 824, 5907, 3156, 269, 769, 1931, 547, 5265, 5911, 513, 1883, 6467, 267, 596, 786, 991, 547, 5077, 519, 10672, 779, 5528, 607, 1134, 607, 513, 1883, 6467, 11443, 6516, 563, 4322, 12222, 616, 11212, 5363, 585, 8159, 799, 12904, 979, 1141, 267, 607, 1134, 607, 585, 7114, 1022, 2556, 17960, 269, 1879, 11443, 513, 1883, 6467, 267, 621, 568, 1271, 547, 1921, 519, 2953, 12904, 547, 519, 2953, 23525, 269, 901, 5849, 602, 5201, 8928, 998, 519, 6467, 9108, 267, 1510, 1981, 540, 6850, 322, 1081, 610, 3595, 269, 5015, 267, 519, 2953, 11443, 12122, 786, 849, 2327, 602, 519, 1883, 6467, 3252, 5265, 543, 602, 519, 5547, 786, 711, 581, 8697, 563, 2691, 11443, 513, 1883, 6467, 267, 621, 568, 1271, 547, 3277, 547, 519, 11443, 6516, 593, 519, 10672, 779, 3896, 610, 3769, 12319, 269, 3958, 267, 621, 568, 1271, 547, 946, 519, 2953, 2645, 543, 2326, 269, 1403, 596, 616, 18516, 827, 1022, 540, 519, 3268, 610, 2326, 2838, 267, 621, 568, 1655, 547, 3346, 519, 10672, 2047, 610, 3343, 6351, 689, 606, 4810, 3318, 269, 2060, 519, 1318, 2645, 267, 2326, 267, 543, 1344, 267, 596, 666, 3362, 5911, 513, 1883, 6467, 543, 2327, 602, 707, 1788, 8255, 12347, 563, 310, 3931, 12810, 1280, 476, 275, 19024, 17629, 22695, 819, 22732, 8605, 8943, 623, 27947, 2412, 454, 296, 3913, 819, 22732, 16530, 12810, 1548, 1772, 634, 570, 4459, 1677, 3816, 8221, 454, 312, 600, 21036, 17266, 5422, 6206, 22732, 19937, 476, 3583, 275, 476, 279, 1839, 3583, 476, 1321, 476, 876, 634, 670, 1638, 18266, 4425, 908, 1656, 674, 5109, 17072, 454, 292, 345, 2998, 700, 277, 22695, 819, 22732, 16530, 14295, 1695, 21095, 717, 6504, 14295, 17072, 454, 296, 3913, 819, 22732, 16530, 9061, 13933, 1721, 636, 634, 932, 24075, 2401, 9061, 13933, 1656, 590, 4135, 277, 12754, 454, 310, 3931, 1323, 22695, 819, 22732, 5606, 6541, 7901, 454, 292, 345, 2998, 6206, 22732, 16530, 12810, 14295, 1695, 21095, 717, 6504, 14295, 17072, 454, 11990, 1546, 699, 476, 3583, 16530, 12810, 2107, 16514, 2986, 22695, 819, 22732, 10432, 754, 15213, 26682, 454, 296, 3913, 819, 1656, 674, 3931, 22732, 13340, 16530, 12810, 11660, 454, 1692, 1677, 18514, 22695, 819, 22732, 1548, 654, 2231, 3619, 681, 343, 11115, 545, 454, 296, 3913, 819, 22732, 16530, 4498, 2917, 5096, 1749, 517, 1280, 4548, 454, 6924, 22695, 819, 22732, 16530, 966, 17448, 18771, 836, 1280, 4548, 454, 296, 3913, 819, 22732, 16530, 12810, 3600, 338, 15733, 7577, 454, 1692, 1677, 18514, 589, 853, 6621, 2060, 7151, 30894, 769, 634, 12275, 720, 2961, 30672, 1290, 454, 310, 3931, 12810, 654, 23275, 16790, 9197, 21403, 2060, 22695, 819, 22732, 5510, 6004, 273, 13574, 619, 11833, 17072, 454, 26536, 531, 6206, 22732, 476, 275, 19024, 631, 22080, 590, 323, 2264, 454, 290, 273, 476, 5038, 22695, 819, 22732, 16530, 12810, 4856, 557, 12076, 1721, 636, 4258, 341, 549, 2280, 4856, 557, 12076, 17072, 17564, 454, 296, 3913, 819, 22732, 16530, 12810, 25126, 1234, 31419, 454, 309, 342, 2142, 564, 548, 22695, 819, 22732, 1234, 10293, 1546, 1023, 476, 4649, 5510, 654, 2346, 769, 2102, 328, 990, 23709, 1290, 0, 26108, 16242, 20970, 4065, 910, 9460, 454, 9596, 811, 827, 11916, 10341, 2221, 256, 9208, 1125, 2069, 543, 2359, 28671, 1851, 11923, 267, 16293, 543, 824, 1072, 4648, 547, 2327, 1702, 543, 1983, 616, 1699, 543, 2992, 1655, 2853, 543, 519, 5767, 4791, 4808, 563, 28097, 609, 519, 3461, 543, 1920, 519, 2956, 540, 711, 4328, 519, 19995, 543, 609, 3835, 532, 6527, 950, 1973, 2604, 630, 21990, 264, 2418, 616, 9402, 563, 30535, 609, 513, 3099, 540, 10108, 971, 607, 13487, 267, 8459, 267, 610, 15466, 3676, 616, 11630, 547, 2647, 7648, 538, 741, 22680, 269, 769, 2489, 267, 513, 13455, 30918, 4301, 22680, 2542, 540, 476, 9873, 6515, 29666, 610, 2362, 543, 513, 13455, 1019, 770, 4301, 2542, 540, 476, 3199, 6515, 29666, 5815, 13119, 269, 1495, 18249, 258, 10915, 275, 22969, 275, 1133, 2006, 3042, 13119, 4679, 519, 4220, 2404, 609, 9025, 2068, 610, 2295, 5821, 267, 8482, 267, 543, 8459, 2068, 563, 30535, 4324, 689, 6616, 875, 547, 6895, 741, 1378, 22680, 543, 13942, 1317, 621, 6087, 873, 547, 3343, 2564, 3007, 2038, 950, 13220, 616, 3544, 519, 11807, 2039, 269, 5851, 1973, 2604, 5464, 630, 295, 289, 15014, 264, 2636, 2550, 547, 7119, 538, 741, 1378, 1072, 1416, 269, 4746, 267, 670, 289, 15014, 2337, 547, 2569, 1072, 1416, 3790, 543, 666, 2087, 519, 2298, 543, 6364, 540, 2949, 2359, 540, 2550, 609, 13119, 269, 6201, 540, 2550, 945, 991, 547, 917, 891, 1983, 1331, 1346, 609, 2295, 2068, 543, 1346, 3238, 538, 13487, 14317, 3292, 269, 769, 1840, 267, 2635, 1004, 945, 3635, 1058, 1451, 875, 741, 1560, 20781, 547, 3635, 543, 1058, 581, 2111, 547, 3313, 3617, 3635, 4566, 1759, 593, 6616, 741, 22680, 1354, 267, 1282, 267, 543, 1310, 3635, 563, 10932, 9727, 602, 670, 289, 15014, 666, 581, 606, 2500, 1907, 538, 5883, 13119, 269, 274, 5015, 267, 519, 4999, 540, 1582, 31193, 543, 5604, 2861, 5464, 540, 22680, 2337, 9439, 3715, 15977, 1239, 827, 741, 2550, 543, 5659, 3466, 1644, 547, 519, 946, 540, 6527, 267, 3635, 267, 610, 14317, 3292, 269, 14904, 1058, 581, 6026, 875, 547, 6895, 741, 22680, 5781, 543, 875, 547, 4612, 13220, 602, 616, 3544, 540, 25191, 3339, 2418, 269, 8682, 15065, 13501, 1058, 581, 513, 10319, 4674, 269, 11790, 602, 1860, 519, 6111, 540, 22680, 13220, 267, 971, 607, 524, 4428, 13307, 267, 3350, 540, 519, 8685, 532, 267, 543, 2990, 540, 519, 3461, 267, 1058, 581, 9619, 538, 3461, 3450, 563, 288, 1676, 1355, 838, 1506, 326, 332, 2674, 18852, 585, 22680, 5464, 538, 519, 1753, 616, 20749, 2139, 269, 25732, 22680, 609, 606, 606, 518, 1355, 838, 1506, 326, 332, 2674, 10309, 3340, 513, 588, 996, 24005, 543, 513, 9952, 11346, 563, 6124, 518, 3457, 971, 607, 5907, 3059, 838, 1506, 326, 332, 2674, 18852, 616, 2922, 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 ]
[ 10102, 547, 8963, 1216, 543, 1033, 847, 19498, 602, 1223, 581, 8876, 519, 13663, 3644, 269, 901, 21716, 2702, 568, 1434, 3377, 585, 707, 19683, 543, 19970, 1115, 256, 661, 32023, 3574, 568, 1360, 10110, 550, 269, 898, 666, 27653, 909, 1216, 2861, 543, 3282, 2861, 25859, 3533, 543, 14961, 2336, 29222, 12700, 543, 21964, 454, 30943, 8241, 705, 10594, 1149, 946, 552, 32023, 3282, 547, 1521, 5563, 269, 1358, 1256, 3494, 602, 621, 666, 2061, 2860, 256, 769, 3504, 3624, 267, 519, 3282, 729, 1031, 607, 513, 16185, 585, 21061, 543, 10447, 563, 9213, 267, 6928, 544, 6814, 267, 7841, 1811, 3207, 619, 267, 543, 6928, 1183, 1564, 616, 3710, 609, 552, 32023, 3574, 269, 901, 568, 1317, 540, 15006, 543, 4222, 563, 10817, 612, 1018, 256, 9894, 596, 917, 602, 5065, 26880, 723, 1044, 1210, 17860, 539, 13050, 552, 32023, 3574, 547, 1711, 519, 1705, 3455, 573, 5622, 585, 936, 476, 272, 267, 4335, 1296, 286, 634, 3574, 17860, 539, 856, 676, 30412, 543, 1287, 6752, 539, 883, 513, 4190, 6293, 563, 288, 8037, 2249, 540, 661, 32023, 568, 5219, 547, 607, 968, 1778, 11312, 552, 32023, 1848, 1411, 666, 1294, 1946, 1175, 676, 3168, 693, 621, 256, 634, 2030, 24259, 922, 13626, 1082, 2053, 829, 1032, 267, 6029, 1055, 519, 6106, 540, 13626, 18284, 519, 2627, 269, 898, 6238, 856, 3039, 267, 1287, 535, 3547, 547, 1585, 18707, 540, 2699, 267, 4544, 543, 1256, 13711, 607, 942, 4422, 593, 269, 23433, 543, 4190, 2336, 308, 4513, 538, 15339, 543, 5071, 454, 2171, 2461, 782, 5432, 609, 519, 7067, 543, 16990, 1159, 2454, 4162, 540, 552, 32023, 3282, 269, 1809, 519, 3574, 689, 519, 2030, 666, 849, 581, 1031, 585, 4190, 32466, 267, 19970, 4479, 267, 543, 538, 1082, 824, 2010, 540, 1374, 3785, 563, 292, 32023, 568, 606, 5393, 4264, 1570, 269, 2368, 24914, 666, 3132, 909, 547, 476, 1789, 2053, 811, 4320, 829, 1032, 982, 707, 3328, 15790, 18782, 3574, 12946, 4054, 269, 634, 3574, 568, 849, 11684, 269, 1411, 666, 5070, 621, 547, 513, 5347, 267, 25509, 2627, 267, 543, 621, 23465, 1134, 547, 1585, 25859, 563, 292, 32023, 2371, 1332, 2786, 676, 2470, 267, 865, 621, 779, 519, 3501, 3574, 585, 32466, 267, 3774, 8470, 532, 267, 543, 1726, 961, 2478, 269, 4706, 2681, 20998, 30652, 690, 1415, 267, 855, 3123, 1454, 1447, 10943, 5793, 532, 543, 669, 6235, 563, 4263, 993, 320, 313, 21343, 5549, 267, 649, 5249, 609, 519, 7025, 10466, 10837, 630, 292, 5183, 264, 547, 3132, 519, 1101, 1875, 268, 1513, 21329, 267, 1875, 268, 14058, 633, 2604, 2126, 585, 552, 32023, 3574, 269, 898, 11498, 519, 1272, 543, 15006, 540, 938, 2472, 4611, 538, 513, 2679, 1570, 602, 6763, 909, 547, 519, 2609, 269, 3776, 552, 32023, 18635, 616, 711, 1152, 2178, 543, 14463, 855, 1279, 9434, 543, 27031, 540, 8419, 779, 4657, 2916, 563, 5415, 2640, 540, 661, 32023, 454, 292, 32023, 568, 9286, 513, 2182, 6229, 3246, 7293, 7028, 585, 5656, 563, 2005, 568, 2139, 538, 513, 3099, 540, 7306, 689, 476, 272, 892, 268, 476, 279, 892, 538, 18592, 543, 476, 279, 685, 547, 476, 1240, 685, 538, 3259, 563, 292, 32023, 666, 581, 840, 1922, 790, 1427, 12023, 543, 791, 27389, 730, 693, 519, 942, 540, 2604, 2126, 547, 1118, 513, 10930, 1587, 269, 634, 2126, 786, 711, 11547, 1055, 563, 2005, 568, 4264, 267, 11684, 267, 4190, 267, 543, 3501, 585, 707, 1985, 1788, 563, 6701, 596, 4712, 585, 661, 32023, 888, 2252, 596, 2461, 5461, 538, 1210, 552, 32023, 3574, 267, 649, 1131, 2648, 547, 948, 596, 2336, 2791, 666, 849, 3643, 26964, 543, 2638, 856, 930, 540, 938, 960, 609, 552, 32023, 18635, 269, 5192, 707, 9345, 28817, 2336, 16665, 1543, 543, 2472, 912, 292, 32023, 27003, 676, 20574, 717, 625, 523, 454, 305, 664, 11312, 661, 32023, 676, 1677, 7360, 8230, 0, 268, 10934, 6029, 519, 3892, 540, 10437, 538, 519, 8828, 2276, 454, 268, 2051, 2023, 781, 4786, 540, 519, 7013, 2829, 269, 26451, 15930, 267, 4429, 268, 589, 4786, 540, 17996, 689, 4890, 5619, 454, 268, 14022, 19902, 632, 681, 5255, 600, 2041, 879, 267, 476, 9965, 273, 269, 14295, 324, 964, 26195, 597, 976, 632, 13879, 7921, 679, 2483, 268, 10934, 540, 519, 31803, 2817, 5244, 563, 268, 634, 2136, 2276, 540, 3013, 9788, 1524, 689, 519, 1655, 4429, 268, 1773, 18054, 632, 3288, 5636, 320, 632, 8895, 557, 345, 563, 268, 19797, 3624, 16456, 338, 543, 5697, 9897, 267, 4873, 476, 3422, 272, 563, 268, 634, 2749, 540, 1715, 3840, 563, 268, 589, 4786, 540, 519, 1034, 20948, 851, 540, 1715, 4789, 1862, 7338, 4429, 268, 17012, 638, 601, 514, 781, 4786, 540, 17039, 563, 268, 10934, 540, 519, 7187, 851, 540, 9098, 543, 4639, 9098, 454, 268, 10934, 540, 9835, 24258, 2817, 5244, 563, 268, 5507, 1299, 322, 269, 2965, 23500, 454, 268, 1496, 24961, 540, 26554, 961, 832, 6807, 25071, 267, 2904, 476, 274, 268, 275, 267, 476, 5908, 274, 14073, 268, 21303, 14097, 1129, 14898, 563, 268, 645, 5390, 2193, 4155, 2173, 777, 2433, 1715, 670, 13273, 267, 21086, 267, 547, 1715, 5507, 267, 4429, 268, 589, 4786, 540, 11066, 543, 18412, 781, 3950, 267, 2066, 519, 7262, 6712, 540, 4429, 268, 589, 2489, 4786, 540, 519, 1647, 3703, 10125, 538, 3013, 267, 642, 714, 269, 4429, 268, 16819, 781, 3750, 2070, 540, 519, 2749, 540, 18475, 267, 24543, 3213, 1421, 18518, 476, 5908, 279, 563, 268, 589, 4786, 540, 519, 9098, 6239, 21805, 267, 7178, 540, 519, 9791, 23374, 267, 4429, 268, 1715, 3840, 267, 17588, 343, 267, 18301, 267, 19803, 267, 29430, 267, 1715, 3840, 563, 268, 9835, 24258, 454, 268, 8053, 335, 601, 1512, 267, 6115, 6019, 267, 28599, 563, 268, 623, 3559, 1186, 543, 23846, 781, 3140, 543, 4108, 4786, 540, 519, 8473, 4429, 268, 10934, 6029, 519, 8905, 543, 4296, 540, 519, 5453, 9934, 543, 4429, 268, 23846, 6807, 267, 13244, 4354, 345, 6019, 267, 4993, 563, 24342, 281, 476, 272, 268, 272, 540, 476, 272, 454, 8269, 1441, 676, 281, 24314, 14474, 281, 21476, 17179, 5678, 281, 5545, 17179, 19928, 12460, 281, 17540, 329, 7534, 267, 570, 976, 2967, 17179, 26317, 543, 14635, 281, 1977, 15350, 17179, 454, 306, 7051, 1309, 269, 476, 272, 281, 11740, 267, 1822, 269, 8381, 1532, 6674, 1820, 269, 28057, 3254, 3182, 3645, 569, 269, 5545, 269, 22291, 1257, 269, 12232, 849, 998, 519, 7732, 540, 6837, 5680, 3135, 607, 513, 678, 2120, 3239, 269, 966, 5435, 589, 3722, 305, 273, 281, 476, 4792, 272, 270, 272, 282, 476, 4792, 272, 270, 273, 282, 476, 4792, 272, 270, 274, 454, 268, 19928, 12460, 281, 17540, 329, 7534, 267, 570, 976, 2967, 910, 25300, 574, 9369, 267, 681, 753, 2967, 454, 268, 22731, 14474, 281, 21476, 454, 268, 11261, 281, 476, 6977, 275, 0, 15648, 18671, 652, 516, 752, 9012, 454, 302, 341, 1637, 4016, 547, 519, 942, 540, 707, 4783, 602, 519, 4212, 568, 5950, 689, 519, 9065, 636, 269, 901, 568, 519, 1152, 942, 540, 519, 3923, 596, 666, 1831, 9176, 269, 18833, 950, 596, 9065, 3634, 666, 948, 596, 2061, 610, 3035, 6379, 269, 2368, 2021, 5544, 585, 513, 1554, 610, 1079, 538, 519, 1647, 540, 741, 18492, 4783, 950, 789, 9065, 3634, 269, 1280, 891, 2021, 267, 713, 666, 581, 10169, 6325, 538, 17782, 28284, 269, 634, 31986, 568, 1454, 14402, 982, 513, 1974, 543, 568, 3361, 676, 519, 4028, 726, 25128, 538, 21110, 602, 2501, 609, 519, 824, 17441, 2242, 5612, 1354, 28284, 269, 769, 824, 6381, 267, 713, 1522, 581, 606, 28842, 1466, 267, 855, 952, 596, 2811, 3843, 547, 1831, 9176, 267, 713, 666, 581, 606, 20522, 13525, 540, 519, 1655, 942, 547, 723, 26697, 563, 288, 1677, 770, 1677, 1548, 25198, 454, 8802, 3563, 585, 519, 18984, 643, 832, 700, 684, 3832, 517, 3371, 454, 295, 1941, 17421, 28788, 3894, 10965, 2355, 14653, 454, 8138, 2466, 2659, 17421, 3371, 454, 23338, 9503, 10871, 454, 26222, 1870, 568, 519, 2295, 543, 9997, 540, 938, 2146, 563, 13425, 856, 782, 519, 7991, 15638, 2336, 2171, 3657, 674, 637, 7224, 454, 1320, 2720, 17058, 593, 23794, 7417, 2190, 454, 21010, 609, 2659, 23338, 11749, 2917, 454, 10287, 721, 593, 9365, 543, 12108, 0, 1607, 568, 519, 3923, 602, 513, 2789, 6379, 786, 581, 865, 1454, 1114, 982, 602, 540, 513, 2582, 6379, 269, 634, 9002, 616, 711, 2111, 547, 1332, 607, 1454, 1631, 607, 972, 568, 3274, 711, 2614, 4055, 269, 1717, 267, 789, 616, 13461, 593, 741, 3993, 781, 6484, 547, 948, 873, 2322, 593, 519, 3803, 4494, 540, 3170, 269, 3962, 4816, 786, 9260, 1472, 476, 276, 6550, 676, 519, 476, 3607, 628, 3018, 269, 1403, 707, 9002, 616, 4535, 1631, 267, 789, 949, 991, 547, 6108, 513, 2370, 3787, 540, 942, 538, 519, 14021, 1416, 1770, 269, 634, 9002, 9641, 616, 4098, 547, 3132, 1147, 2399, 656, 2073, 799, 786, 948, 519, 9002, 9641, 547, 4228, 585, 741, 1101, 7362, 269, 634, 30302, 568, 1869, 8647, 1134, 543, 16138, 5109, 519, 3384, 9002, 563, 7312, 9002, 786, 581, 13761, 547, 1118, 2386, 602, 789, 616, 538, 519, 2212, 1524, 2990, 267, 799, 568, 2877, 585, 6099, 6765, 269, 634, 2990, 602, 519, 9002, 616, 538, 693, 713, 1448, 616, 711, 2693, 547, 1689, 1354, 6765, 563, 7312, 25637, 949, 1745, 899, 789, 616, 10825, 543, 519, 8006, 540, 707, 10652, 6665, 814, 4440, 2799, 513, 2370, 676, 713, 942, 269, 634, 16081, 6244, 19786, 1281, 711, 1450, 585, 7920, 19341, 5322, 267, 855, 596, 1058, 1869, 1745, 11029, 5322, 269, 2659, 17119, 885, 949, 2220, 749, 811, 693, 713, 942, 267, 865, 621, 568, 1271, 547, 1205, 707, 3952, 909, 607, 1419, 607, 596, 666, 563, 24154, 868, 517, 670, 6506, 27373, 949, 581, 1360, 7928, 1631, 269, 1403, 596, 616, 7680, 811, 982, 2185, 27373, 538, 606, 5662, 267, 1289, 707, 19995, 269, 4634, 952, 519, 27373, 616, 711, 11213, 610, 7920, 267, 596, 1223, 581, 7680, 840, 3410, 4074, 563, 18814, 547, 2799, 30614, 267, 12667, 9909, 267, 4160, 543, 7411, 4466, 513, 6899, 2990, 267, 596, 949, 581, 2348, 513, 2182, 942, 12008, 269, 898, 568, 1271, 602, 596, 1964, 607, 1454, 607, 2009, 1282, 891, 2063, 1906, 4374, 563, 7343, 564, 924, 949, 6175, 1317, 707, 19786, 568, 2810, 543, 707, 7181, 568, 2451, 609, 3908, 2230, 269, 5269, 2386, 602, 596, 616, 6704, 6266, 540, 12862, 563, 306, 27383, 547, 3141, 454, 19102, 1078, 2295, 2557, 454, 27087, 538, 4638, 7287, 454, 27087, 538, 14031, 454, 10111, 25659, 15993, 6794, 454, 8867, 752, 720, 689, 562, 31454, 454, 2414, 6056, 6168, 901, 13600, 454, 303, 22326, 2556, 6413, 3688, 454, 11917, 8877, 4816, 1416, 30304, 454, 29806, 1125, 12963, 1014, 5542, 454, 9743, 718, 1286, 10160, 538, 1286, 454, 4263, 634, 16362, 454, 5278, 2021, 786, 5838, 741, 9002, 1472, 713, 942, 267, 1247, 1866, 786, 1121, 534, 9176, 513, 2370, 1247, 3476, 269, 2659, 4387, 786, 581, 10992, 519, 1482, 1919, 646, 814, 5892, 13761, 269, 2311, 713, 1448, 596, 786, 581, 16913, 585, 1022, 4074, 4191, 1673, 7976, 267, 2498, 864, 618, 267, 27373, 267, 1216, 2736, 720, 267, 3092, 269, 769, 1840, 267, 707, 4387, 786, 2638, 585, 912, 273, 4700, 10552, 2604, 267, 13942, 543, 7929, 2557, 454, 274, 4700, 9839, 543, 9641, 454, 275, 4700, 19994, 17771, 981, 454, 276, 4700, 7984, 710, 5496, 585, 4006, 267, 1973, 543, 4551, 454, 277, 4700, 8299, 14647, 4879, 454, 278, 4700, 674, 13926, 26470, 454, 279, 4700, 12763, 519, 2508, 639, 454, 280, 4700, 24498, 27621, 566, 540, 519, 19786, 454, 1015, 4700, 23213, 981, 0, 1103, 519, 2376, 267, 968, 11073, 9227, 2534, 540, 1016, 5991, 332, 30080, 13421, 585, 2584, 665, 520, 24608, 7250, 2504, 2223, 3370, 538, 519, 4760, 11930, 9697, 4519, 645, 281, 7025, 267, 12138, 2107, 21754, 267, 12854, 267, 606, 19608, 7905, 540, 10049, 3163, 1299, 7177, 693, 853, 3415, 15588, 2160, 267, 543, 1010, 9164, 689, 853, 3415, 15588, 543, 15588, 6409, 523, 2817, 12524, 267, 1336, 602, 519, 946, 540, 4154, 5536, 4130, 982, 835, 6289, 10309, 8507, 538, 3152, 7250, 2504, 982, 824, 1071, 2275, 520, 3315, 7370, 7318, 563, 22154, 568, 519, 1101, 2479, 17431, 540, 519, 7415, 1761, 540, 1360, 1507, 4496, 20543, 1496, 935, 8877, 7864, 982, 513, 18797, 8444, 316, 585, 1818, 4492 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10467, 543, 26941, 282, 6218, 3308, 3785, 1759, 593, 5876, 267, 15984, 547, 5401, 267, 543, 1620, 540, 2035, 8268, 2429, 519, 1770, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 590, 13396, 17243, 781, 2561, 1370, 823, 1923, 10434, 16225, 454, 2691, 4057, 29152, 7911, 20182, 3587, 513, 521, 13396, 17243, 781, 22961, 823, 267, 646, 13788, 606, 6909, 1007, 1158, 269, 1261, 16137, 8748, 9059, 28542, 267, 519, 11580, 540, 2470, 267, 543, 875, 547, 1118, 7067, 1494, 687, 543, 11041, 689, 1010, 24963, 1007, 4487, 563, 3080, 1554, 519, 521, 13396, 17243, 4422, 593, 513, 3460, 269, 645, 1819, 609, 1010, 11995, 26050, 267, 20182, 17134, 1218, 930, 2156, 1682, 547, 798, 519, 960, 585, 1864, 269, 1809, 950, 519, 11963, 4991, 856, 540, 1852, 267, 875, 666, 20182, 3247, 519, 9059, 888, 1607, 5929, 9661, 827, 519, 2956, 540, 2182, 960, 729, 519, 6667, 585, 18557, 781, 20646, 14901, 267, 543, 568, 4843, 1934, 538, 513, 18991, 11609, 7160, 689, 12021, 7376, 15168, 6767, 631, 1638, 518, 267, 17082, 540, 2475, 17668, 312, 3620, 517, 1819, 589, 5729, 538, 3776, 1715, 12567, 4586, 294, 518, 6767, 631, 1638, 518, 568, 606, 28601, 10656, 1453, 328, 16006, 338, 2278, 543, 3879, 15249, 269, 18004, 538, 476, 4572, 277, 538, 10878, 31678, 267, 13814, 267, 15168, 6767, 6594, 693, 519, 20963, 8551, 3427, 540, 24545, 543, 700, 262, 328, 16006, 1723, 548, 6480, 1329, 928, 540, 8303, 543, 814, 5030, 538, 5333, 585, 936, 476, 3583, 1296, 269, 15168, 6767, 781, 6574, 6667, 568, 1200, 2648, 540, 2470, 543, 1200, 4605, 1433, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 4459, 9094, 543, 16700, 27815, 5336, 5474, 257, 607, 851, 540, 834, 16300, 16337, 1315, 6181, 1742, 267, 3733, 2195, 267, 674, 1963, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7588, 8811, 327, 3726, 331, 711, 547, 2446, 22516, 5473, 932, 2711, 16647, 10087, 267, 729, 1101, 6074, 519, 1880, 14232, 5165, 3821, 512, 331, 6737, 8643, 563, 320, 5165, 3821, 616, 1318, 1631, 593, 1930, 909, 13137, 609, 519, 948, 540, 10897, 5115, 582, 345, 531, 1723, 543, 10123, 898, 345, 1723, 520, 331, 21936, 539, 2966, 585, 513, 1880, 4296, 2059, 609, 3026, 345, 1695, 783, 322, 1195, 582, 331, 267, 689, 713, 1793, 664, 6809, 322, 665, 534, 14610, 594, 868, 331, 559, 343, 5255, 527, 331, 1985, 547, 8575, 868, 5055, 269, 898, 345, 1723, 520, 331, 607, 1134, 24027, 2059, 609, 8575, 868, 5055, 781, 2673, 3659, 570, 9369, 638, 8811, 340, 1794, 339, 2993, 14610, 540, 519, 4890, 570, 788, 534, 1815, 1858, 827, 570, 331, 659, 641, 534, 563, 23777, 1227, 519, 8422, 17574, 22627, 538, 14210, 5255, 339, 527, 17427, 267, 6809, 322, 27494, 1927, 609, 570, 331, 659, 641, 534, 16290, 10897, 5115, 582, 345, 531, 1723, 267, 711, 547, 2446, 1282, 476, 16318, 279, 1082, 10032, 519, 4890, 1327, 1446, 543, 849, 14894, 539, 8575, 868, 5055, 563, 3528, 1259, 540, 519, 1967, 14210, 5255, 339, 527, 17427, 5828, 856, 547, 581, 519, 1880, 7986, 1858, 2769, 1472, 519, 966, 569, 540, 6792, 267, 2059, 609, 3335, 519, 4296, 10838, 707, 1896, 2749, 32145, 6035, 782, 519, 8430, 693, 799, 538, 2490, 513, 25069, 322, 7276, 568, 3710, 563, 2005, 345, 1723, 520, 331, 8399, 539, 3274, 676, 3478, 513, 32263, 5201, 4493, 3823, 14210, 5255, 339, 527, 17427, 267, 3274, 676, 13830, 602, 2749, 32145, 2390, 519, 2539, 5757, 1107, 971, 607, 26943, 16852, 659, 534, 267, 2473, 5255, 574, 559, 1723, 267, 595, 3726, 331, 24660, 659, 543, 631, 714, 638, 545, 563, 4322, 2186, 540, 6811, 5892, 1185, 930, 4990, 540, 2804, 2916, 1759, 2390, 11341, 547, 12517, 14785, 24060, 2086, 320, 8105, 267, 14237, 1480, 13402, 24909, 827, 2407, 4677, 3037, 998, 782, 519, 24735, 10720, 2473, 5255, 574, 559, 1723, 269, 898, 345, 1723, 520, 331, 1287, 3274, 3323, 811, 9518, 3949, 1369, 782, 519, 1858, 538, 2859, 32221, 267, 26446, 513, 4683, 4099, 2769, 827, 19923, 879, 18255, 24660, 659, 630, 339, 3736, 19923, 1716, 822, 20403, 1916, 14611, 2376, 281, 25069, 322, 7276, 454, 1103, 476, 13893, 271, 267, 631, 1774, 322, 15120, 5448, 1306, 1775, 19129, 16852, 545, 3133, 534, 321, 476, 275, 316, 630, 26569, 563, 257, 515, 535, 992, 985, 2972, 606, 1271, 2212, 540, 519, 1920, 267, 646, 1315, 1352, 5036, 519, 6607, 257, 333, 321, 476, 276, 8079, 7902, 547, 581, 11221, 512, 331, 6737, 8643, 282, 789, 568, 7911, 4448, 609, 670, 3726, 7588, 8811, 327, 3726, 331, 267, 14609, 773, 827, 932, 2711, 16647, 10087, 543, 1256, 723, 6035, 1317, 519, 1397, 6658, 13672, 2915, 2404, 609, 1010, 610, 1200, 6264, 11515, 898, 345, 1723, 520, 331, 998, 713, 13137, 1985, 547, 782, 519, 570, 788, 534, 1815, 338, 563, 320, 1569, 542, 609, 1022, 1007, 6205, 3330, 3335, 519, 9120, 1327, 1446, 2783, 814, 1044, 7363, 513, 3532, 5428, 609, 2543, 547, 1930, 10034, 547, 1118, 2386, 596, 3771, 10542, 26159, 1543, 1369, 9089, 1557, 689, 10714, 532, 585, 596, 547, 2628, 585, 4630, 720, 563, 2005, 5921, 799, 786, 2189, 17710, 862, 10642, 922, 1523, 609, 519, 948, 540, 930, 4990, 540, 8318, 566, 10229, 5859, 267, 7363, 7258, 15141, 1190, 29815, 2456, 267, 4352, 11338, 689, 942, 547, 942, 11744, 1010, 610, 1200, 7286, 1223, 7654, 607, 513, 1267, 540, 2348, 6216, 1007, 9518, 3949, 563, 300, 1774, 322, 15120, 5448, 14468, 1022, 8456, 2404, 609, 602, 4872, 2282, 602, 642, 569, 607, 513, 1267, 540, 6998, 5520, 1175, 585, 782, 519, 7393, 538, 782, 519, 20056, 550, 645, 992, 538, 14210, 5255, 339, 527, 17427, 269, 1401, 13254, 707, 10278, 3823, 30634, 1723, 3649, 1882, 2509, 2709, 596, 4600, 267, 1927, 609, 3984, 1988, 1063, 30634, 1723, 711, 547, 2446, 14210, 5255, 339, 527, 17427, 786, 3136, 547, 6414, 11489, 707, 476, 13970, 271, 338, 563, 300, 1774, 322, 15120, 5448, 4061, 11028, 638, 1229, 519, 1880, 10034, 1472, 3335, 519, 14860, 5473, 2859, 32221, 7132, 2871, 518, 516, 549, 267, 543, 10123, 1985, 5555, 9333, 809, 1114, 9518, 3949, 538, 602, 670, 7699, 868, 1815, 4087, 5473, 562, 1547, 7638, 659, 745, 345, 267, 543, 849, 602, 631, 4869, 1815, 4087, 538, 3213, 4869, 331, 24660, 20403, 538, 1840, 547, 1390, 13980, 538, 744, 1314, 20403, 267, 543, 1256, 13604, 1175, 607, 1354, 3330, 1883, 2059, 609, 521, 719, 615, 569, 7638, 659, 745, 345, 676, 1797, 540, 9518, 3949, 609, 15328, 600, 531, 641, 534, 267, 13259, 340, 559, 714, 3253, 607, 1134, 607, 19923, 564, 5055, 868, 17427, 563, 5472, 998, 713, 2189, 12732, 519, 4890, 2146, 5267, 4448, 609, 570, 331, 1314, 5632, 534, 267, 4828, 705, 527, 584, 476, 1001, 275, 476, 10441, 271, 543, 849, 670, 826, 343, 582, 345, 514, 1723, 3357, 827, 2094, 1883, 519, 6735, 547, 948, 3335, 519, 11440, 1870, 7269, 267, 543, 891, 1004, 6035, 27423, 547, 948, 596, 513, 1297, 540, 827, 519, 1880, 4872, 27058, 269, 631, 1774, 322, 15120, 5448, 13604, 3323, 513, 32263, 1448, 856, 3823, 1970, 27233, 8396, 7258, 891, 2186, 540, 513, 1906, 4872, 267, 9036, 1305, 22705, 5634, 1236, 3305, 8460, 4857, 607, 834, 293, 12294, 12668, 257, 630, 301, 24660, 520, 331, 1535, 5255, 31843, 1195, 582, 331, 264, 689, 873, 267, 4440, 7487, 602, 513, 1062, 827, 25874, 563, 300, 1774, 322, 15120, 5448, 2417, 3467, 5916, 782, 519, 6214, 3337, 609, 1022, 17677, 22627, 267, 2059, 609, 519, 4890, 17271, 2797, 6109, 5473, 14210, 5255, 339, 527, 17427, 563, 14367, 1315, 1200, 24107, 570, 331, 659, 2801, 548, 331, 3177, 2094, 519, 1034, 1271, 11285, 630, 301, 24660, 520, 331, 4654, 281, 595, 8811, 340, 659, 13331, 331, 264, 543, 519, 1268, 786, 581, 2219, 547, 581, 782, 519, 4056, 609, 2101, 6214, 15024, 1282, 713, 2186, 540, 3942, 267, 8744, 1927, 602, 1761, 4448, 609, 519, 4890, 862, 754, 762, 1826, 630, 301, 24660, 520, 331, 4654, 281, 10398, 2830, 514, 264, 538, 1840, 547, 1128, 23082, 513, 1434, 1747, 5473, 1876, 995, 1893, 267, 1927, 609, 519, 4019, 538, 5368, 560, 908, 29041, 17710, 609, 741, 1880, 10034, 543, 4872, 1978, 3274, 676, 905, 531, 1399, 585, 596, 547, 782, 519, 5165, 3821, 512, 331, 6737, 8643, 563, 1103, 476, 16409, 280, 267, 519, 4890, 909, 4947, 14610, 729, 7620, 16547, 599, 659, 520, 331, 630, 26569, 563, 257, 12850, 9633, 19823, 5473, 898, 345, 1723, 520, 331, 781, 4819, 1855, 345, 9926, 558, 665, 2059, 609, 631, 1774, 322, 15120, 5448, 594, 781, 5067, 2311, 9369, 345, 339, 2993, 8542, 321, 476, 277, 316, 2701, 9333, 809, 513, 25133, 8318, 566, 4674, 513, 1434, 4308, 7013, 3148, 609, 14210, 5255, 339, 527, 17427, 609, 1022, 2098, 777, 1774, 14369, 1472, 707, 594, 560, 327, 16443, 2404, 609, 1855, 16852, 14397, 29347, 269, 16547, 599, 659, 520, 331, 538, 1840, 22482, 782, 519, 1582, 3766, 1478, 940, 5165, 3821, 4683, 4099, 540, 570, 26245, 601, 565, 1723, 267, 17479, 593, 519, 5580, 3693, 540, 519, 568, 548, 4010, 1141, 14210, 5255, 339, 527, 17427, 729, 1101, 607, 1134, 13883, 563, 1607, 570, 26245, 601, 565, 8619, 14610, 7720, 638, 8811, 340, 1460, 729, 10416, 7923, 602, 786, 16547, 599, 659, 520, 331, 781, 3993, 267, 543, 10123, 1200, 10645, 5134, 13015, 4448, 609, 519, 4807, 781, 8694, 909, 1373, 4294, 950, 513, 1390, 840, 3667, 547, 2874, 540, 570, 26245, 601, 565, 1723, 538, 1840, 547, 519, 2197, 781, 1360, 1271, 3895, 2047, 18284, 713, 4308, 609, 540, 713, 512, 331, 6737, 8643, 538, 14210, 5255, 339, 527, 17427, 563, 288, 343, 599, 659, 520, 331, 543, 1287, 29041, 2694, 593, 6301, 2871, 518, 516, 549, 267, 707, 623, 29301, 320, 966, 569, 267, 827, 3335, 519, 11824, 694, 23147, 770, 543, 10123, 7258, 782, 519, 17305, 23449, 543, 1256, 4223, 26245, 345, 4532, 320, 998, 519, 4890, 24729, 1075, 320, 1858, 563, 6546, 24729, 1075, 320, 1858, 729, 1101, 930, 6908, 24680, 538, 11685, 547, 519, 4890, 3532, 20579, 2444, 534, 2769, 1282, 5760, 334, 659, 534, 267, 689, 799, 703, 1248, 16547, 599, 659, 520, 331, 4957, 1985, 269, 18738, 519, 1880, 1883, 30572, 2680, 5288, 1022, 20579, 2444, 753, 630, 301, 24660, 520, 331, 1514, 3395, 2923, 5698, 5480, 2013, 4255, 1557, 5760, 16852, 1695, 4302, 327, 264, 2429, 476, 15704, 279, 1700, 8064, 782, 519, 25069, 322, 19367, 1185, 1044, 1065, 8215, 676, 3274, 513, 32263, 1434, 10288, 17872, 563, 288, 343, 599, 659, 520, 331, 1185, 1044, 3280, 569, 7753, 2429, 513, 1434, 4655, 585, 570, 331, 1314, 2711, 1195, 534, 630, 339, 3736, 29069, 31483, 10394, 1070, 21177, 513, 1804, 1297, 540, 689, 1010, 1315, 1200, 476, 3953, 267, 1822, 8593, 553, 538, 1840, 547, 8806, 3592, 2760, 3478, 2476, 2539, 1394, 865, 602, 596, 666, 14210, 5255, 339, 527, 17427, 1603, 707, 3382, 909, 3382, 4484, 5048, 621, 1586, 2816, 519, 3788, 5473, 1010, 1315, 1200, 7952, 563, 1103, 476, 16825, 272, 4092, 693, 16547, 599, 659, 520, 3149, 519, 2530, 267, 519, 4587, 7015, 570, 714, 665, 814, 1044, 5697, 6205, 563, 307, 714, 665, 781, 8318, 566, 6725, 1985, 547, 602, 17305, 23449, 538, 5450, 345, 339, 527, 17427, 20495, 2094, 1352, 610, 646, 19774, 3335, 519, 3978, 4339, 2059, 609, 1208, 324, 12031, 1147, 561, 262, 1619, 18037, 964, 4690, 1011, 1709, 1383, 7307, 865, 602, 596, 666, 2149, 476, 2412, 20737, 865, 602, 596, 666, 7654, 581, 14894, 539, 2966, 585, 1010, 1880, 8318, 566, 7365, 16008, 563, 8794, 7152, 513, 8467, 267, 1082, 689, 519, 1880, 29815, 776, 4025, 6450, 8215, 1927, 609, 607, 513, 1267, 513, 1804, 1297, 540, 2404, 609, 570, 714, 665, 781, 2656, 12081, 7902, 547, 581, 24906, 16462, 585, 596, 547, 844, 749, 15141, 687, 543, 849, 4383, 2359, 609, 4025, 8709, 638, 1639, 676, 3274, 519, 21530, 25600, 563, 307, 714, 665, 5293, 23589, 569, 593, 476, 16825, 276, 267, 543, 849, 713, 3091, 1044, 5063, 9415, 519, 1249, 602, 1352, 610, 646, 8604, 547, 581, 8914, 539, 998, 519, 7015, 538, 1840, 547, 6560, 13672, 2915, 13259, 3726, 345, 582, 331, 945, 3100, 547, 7960, 883, 1022, 7766, 512, 331, 6737, 8643, 563, 307, 714, 665, 786, 581, 3335, 1634, 899, 713, 4408, 820, 585, 519, 1880, 7849, 6149, 689, 570, 714, 665, 1022, 26832, 18533, 630, 301, 24660, 520, 331, 1661, 531, 659, 520, 331, 1070, 2966, 2348, 3090, 2404, 609, 570, 714, 665, 781, 9518, 3949, 563, 763, 865, 1985, 6205, 729, 7620, 13259, 3726, 345, 582, 331, 630, 26569, 563, 257, 12850, 20599, 19823, 11078, 4448, 609, 16547, 599, 659, 520, 331, 7132, 570, 714, 665, 538, 1840, 547, 24515, 19524, 896, 570, 714, 665, 269, 1323, 1367, 781, 25133, 1957, 1376, 2497, 4739, 1557, 10229, 5859, 896, 1852, 15141, 687, 609, 713, 24729, 1075, 320, 8486, 543, 849, 8709, 638, 1639, 808, 559, 1774, 29347, 543, 513, 3099, 540, 2950, 2429, 4633, 14319, 519, 2749, 540, 2840, 2719, 5069, 1412, 338, 1557, 5580, 9351, 689, 3162, 13314, 563, 2304, 1271, 7766, 476, 13923, 272, 6725, 5859, 547, 782, 519, 11824, 4262, 18396, 770, 729, 32047, 24215, 25133, 269, 901, 1367, 3323, 1055, 513, 1880, 11160, 7695, 609, 707, 24090, 995, 645, 992, 827, 14210, 5255, 339, 527, 17427, 267, 22305, 584, 908, 519, 1880, 2189, 11454, 609, 476, 16825, 278, 269, 2725, 656, 585, 519, 4890, 22305, 4851, 862, 655, 2610, 1022, 5165, 3821, 4280, 519, 1880, 17710, 585, 12303, 782, 3283, 1378, 2339, 10034, 267, 945, 3576, 851, 538, 3274, 1317, 5198, 11655, 609, 602, 862, 655, 2610, 3330, 799, 538, 2490, 513, 1434, 796, 3901, 3481, 6049, 1297, 689, 4339, 3061, 1161, 4755, 547, 581, 14894, 539, 1107, 3833, 513, 1906, 8129, 3478, 519, 1560, 5473, 476, 3199, 267, 6110, 20737, 14894, 539, 1657, 1614, 942, 563, 25802, 2693, 782, 519, 9758, 4137, 585, 1965, 3832, 342, 814, 1044, 1454, 1507, 267, 543, 2943, 1256, 865, 1297, 532, 513, 1297, 540, 9748, 269, 13259, 3726, 345, 582, 331, 538, 1840, 2322, 1927, 19711, 748, 4070, 998, 4950, 4609, 713, 2186, 540, 5631, 1317, 2836, 4869, 331, 24660, 20403, 267, 5689, 1400, 1723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15863, 267, 19822, 5004, 267, 5549, 1211, 5004, 267, 6355, 8033, 8462, 5004, 267, 543, 8668, 28155, 18401, 454, 1432, 568, 18869, 476, 23417, 4905, 888, 1432, 3657, 519, 22436, 540, 513, 6355, 8033, 8462, 5004, 3590, 286, 630, 6195, 5960, 994, 19968, 8177, 5811, 630, 289, 8656, 994, 19968, 8033, 8462, 12020, 630, 289, 7709, 994, 266, 13518, 2859, 454, 2467, 3657, 3143, 21976, 3026, 10354, 1677, 2037, 2651, 269, 594, 8307, 9105, 1677, 22067, 7046, 5336, 14800, 1656, 27973, 1677, 6258, 563, 20373, 1607, 1576, 593, 968, 3041, 302, 476, 23417, 4905, 1765, 19968, 8033, 8462, 5004, 630, 6195, 300, 264, 543, 6355, 8033, 8462, 12020, 630, 6195, 303, 264, 892, 786, 4217, 782, 5520, 267, 2523, 1870, 5411, 269, 901, 1576, 4422, 998, 891, 1079, 4566, 607, 1134, 607, 519, 9115, 540, 1142, 3561, 269, 901, 1576, 786, 2253, 609, 513, 4901, 540, 4220, 267, 6937, 267, 543, 20825, 269, 3973, 649, 3580, 1413, 693, 1981, 2359, 543, 1870, 1198, 2079, 269, 2060, 1346, 5396, 9619, 267, 649, 3580, 581, 2111, 547, 2911, 827, 1870, 15364, 4566, 630, 6195, 303, 264, 543, 9568, 6051, 4566, 630, 11403, 303, 1040, 763, 1576, 6227, 519, 10206, 540, 1870, 15364, 607, 1134, 607, 519, 18869, 476, 23417, 4905, 281, 1001, 280, 4441, 1107, 519, 3486, 3044, 602, 5036, 519, 7355, 585, 513, 6355, 8033, 8462, 5004, 3590, 630, 6195, 5960, 1040, 1607, 1576, 5205, 519, 3044, 779, 5943, 543, 6227, 519, 1739, 3584, 281, 4089, 476, 4905, 281, 6206, 16610, 543, 11137, 4089, 476, 6349, 281, 6355, 8033, 8462, 5004, 3590, 630, 3041, 302, 476, 23417, 4905, 264, 4089, 476, 6734, 281, 26291, 4089, 476, 6860, 281, 11485, 5004, 4089, 476, 4962, 281, 6355, 8177, 5811, 630, 289, 8656, 264, 4089, 476, 6187, 281, 6355, 8033, 8462, 12020, 630, 6195, 303, 264, 4089, 476, 5881, 281, 5274, 11790, 4089, 476, 5400, 281, 10390, 1607, 1576, 849, 6227, 782, 540, 519, 18869, 476, 23417, 4905, 281, 1001, 280, 3044, 779, 14074, 281, 2467, 568, 1100, 991, 547, 6108, 7366, 540, 9489, 593, 513, 835, 6377, 4656, 2866, 593, 519, 1034, 2487, 3044, 269, 901, 1576, 786, 11886, 707, 2115, 6993, 551, 8481, 607, 25849, 906, 18737, 4518, 593, 7460, 5960, 20505, 268, 25849, 906, 268, 589, 12910, 11659, 13658, 8005, 713, 1576, 568, 585, 281, 1607, 1576, 568, 5497, 585, 1870, 15364, 9946, 269, 25811, 619, 538, 1870, 15364, 32391, 9946, 8256, 738, 1218, 538, 1870, 15364, 29423, 6002, 540, 2359, 1949, 22209, 7651, 2720, 31714, 3742, 538, 1870, 15364, 543, 9568, 6051, 4238, 454, 4089, 476, 272, 281, 6206, 16610, 543, 11137, 454, 299, 15145, 476, 272, 8281, 519, 2200, 563, 299, 15145, 476, 273, 11137, 2986, 634, 6092, 454, 299, 15145, 476, 274, 5871, 6355, 8033, 8462, 3733, 2195, 543, 16700, 935, 8526, 454, 299, 15145, 476, 275, 6206, 16301, 769, 6355, 8033, 8462, 5004, 454, 4089, 476, 273, 281, 6355, 8033, 8462, 5004, 3590, 630, 3041, 302, 476, 23417, 4905, 994, 299, 15145, 476, 276, 1548, 568, 18869, 476, 23417, 4905, 888, 299, 15145, 476, 277, 634, 19113, 7563, 630, 23945, 268, 2710, 4211, 515, 1188, 5025, 551, 264, 4783, 454, 299, 15145, 476, 278, 1548, 3657, 519, 22436, 540, 513, 6355, 8033, 8462, 5004, 3590, 286, 630, 6195, 5960, 994, 299, 15145, 476, 279, 1849, 13415, 540, 519, 18869, 476, 23417, 4905, 3044, 630, 272, 268, 274, 994, 299, 15145, 476, 280, 1849, 1021, 476, 275, 540, 519, 18869, 476, 23417, 4905, 9208, 454, 299, 15145, 476, 1015, 1849, 1021, 476, 276, 15557, 454, 299, 15145, 476, 1556, 1849, 1021, 476, 277, 12020, 454, 299, 15145, 476, 1321, 1849, 1021, 476, 278, 8081, 454, 299, 15145, 476, 1724, 1849, 1021, 476, 279, 15051, 454, 299, 15145, 476, 1691, 1849, 1021, 476, 280, 13437, 16214, 454, 299, 15145, 476, 1428, 1849, 1021, 476, 1015, 26094, 454, 4089, 476, 274, 281, 26291, 454, 299, 15145, 476, 1626, 26930, 543, 6513, 454, 299, 15145, 476, 1704, 6355, 8033, 8462, 5004, 8889, 454, 299, 15145, 476, 1240, 6355, 8033, 8462, 5004, 17563, 454, 4089, 476, 275, 281, 11485, 5004, 454, 299, 15145, 476, 866, 6355, 8033, 8462, 11485, 454, 4089, 476, 276, 281, 6355, 8177, 5811, 454, 299, 15145, 476, 736, 6355, 8177, 5811, 454, 4089, 476, 277, 281, 6355, 8033, 8462, 12020, 454, 299, 15145, 476, 2641, 6355, 8033, 8462, 12020, 543, 11150, 454, 299, 15145, 476, 2420, 476, 274, 1912, 1162, 540, 6355, 8033, 8462, 4643, 13079, 1081, 454, 4089, 476, 278, 281, 5274, 11790, 454, 299, 15145, 476, 2537, 5274, 11790, 454, 4089, 476, 279, 281, 10390, 454, 299, 15145, 476, 2190, 11289, 596, 2336, 763, 26758, 9906, 1280, 901, 6092, 1772, 25175, 5808, 654, 1218, 1677, 6258, 6168, 18869, 476, 23417, 4905, 6355, 8033, 8462, 5004, 2107, 1323, 1401, 12371, 12333, 5808, 654, 1218, 1677, 30771, 2201, 4256, 7351, 10341, 563, 308, 323, 5519, 1923, 2296, 1923, 476, 273, 327, 476, 276, 332, 1923, 476, 273, 269, 2004, 26838, 454, 32046, 676, 281, 631, 2602, 10298, 12243, 0, 312, 9655, 527, 3385, 3687, 9564, 568, 20295, 609, 3384, 519, 1158, 779, 1101, 6198, 3167, 7573, 3434, 518, 563, 2691, 729, 519, 1101, 7573, 3434, 518, 11827, 888, 8601, 519, 1249, 602, 519, 1646, 540, 3167, 7573, 3434, 619, 3459, 1282, 519, 19248, 880, 334, 5736, 630, 4489, 273, 268, 4572, 277, 1070, 621, 7012, 1406, 2394, 476, 4198, 276, 602, 519, 1101, 12747, 7573, 3434, 518, 585, 6469, 946, 729, 2322, 593, 519, 5545, 2344, 269, 570, 657, 3031, 320, 267, 519, 6109, 602, 2813, 713, 3434, 518, 267, 6170, 2947, 1296, 15388, 543, 3384, 621, 563, 7617, 2197, 11827, 7573, 3434, 518, 888, 763, 1646, 540, 3167, 7573, 3434, 619, 538, 3567, 3459, 1310, 2622, 2782, 594, 267, 543, 676, 519, 3735, 476, 4198, 271, 338, 267, 971, 3434, 619, 1185, 1831, 513, 3044, 3937, 538, 5545, 10820, 563, 1692, 1705, 5545, 3434, 7573, 1354, 7573, 3434, 619, 888, 763, 737, 600, 5964, 267, 513, 1826, 540, 3574, 30187, 14089, 267, 729, 519, 3119, 1505, 540, 5986, 7573, 538, 1034, 5545, 10820, 2394, 519, 4571, 268, 3422, 271, 338, 269, 901, 8670, 568, 5423, 538, 606, 4401, 1494, 609, 513, 11308, 19984, 1210, 25509, 7573, 602, 814, 1044, 32092, 539, 543, 4847, 547, 1796, 585, 930, 942, 269, 898, 568, 4712, 1369, 606, 5662, 540, 1373, 11273, 563, 1432, 7573, 3434, 518, 798, 5545, 888, 1103, 519, 1158, 540, 5545, 7573, 3434, 619, 267, 2098, 19390, 597, 25775, 568, 835, 540, 519, 1034, 1134, 8153, 4408, 538, 519, 1870, 269, 1411, 786, 849, 1265, 811, 5863, 10909, 267, 971, 607, 26286, 15278, 267, 589, 668, 320, 5600, 342, 4100, 267, 543, 865, 593, 563, 7617, 7573, 3434, 518, 568, 1655, 888, 268, 769, 3127, 267, 519, 1655, 3167, 7573, 3434, 619, 786, 581, 2139, 538, 476, 1708, 273, 269, 7754, 21319, 476, 273, 269, 273, 6441, 527, 516, 4201, 11703, 19676, 13648, 518, 454, 268, 7754, 21319, 476, 273, 269, 273, 6441, 527, 516, 4201, 11703, 19676, 13648, 518, 454, 268, 5548, 697, 11272, 19676, 13648, 518, 676, 2776, 560, 15607, 11553, 310, 302, 476, 272, 269, 279, 268, 273, 267, 7844, 3143, 563, 268, 18181, 7573, 609, 606, 3167, 7573, 3434, 518, 630, 15771, 6579, 296, 4916, 1916, 268, 589, 3043, 645, 1690, 1690, 476, 272, 269, 279, 2000, 3438, 7573, 3434, 518, 568, 2139, 563, 268, 769, 3043, 267, 519, 2776, 996, 328, 476, 5197, 271, 16720, 17677, 7754, 19676, 13648, 518, 568, 2139, 563, 268, 7754, 21319, 22804, 8862, 288, 1240, 661, 4201, 11703, 19676, 13648, 518, 267, 476, 275, 269, 275, 6441, 527, 516, 27519, 454, 1432, 5949, 547, 3084, 7573, 3434, 619, 888, 1103, 476, 1220, 275, 267, 519, 2048, 13233, 685, 6216, 729, 24482, 943, 1078, 856, 538, 5607, 267, 519, 2063, 2344, 538, 799, 621, 729, 1031, 267, 609, 519, 5354, 540, 3688, 1373, 26948, 896, 519, 7754, 21319, 6216, 950, 519, 18294, 1904, 539, 547, 9192, 782, 540, 922, 4238, 896, 519, 7754, 21319, 6216, 585, 2799, 15287, 563, 2691, 729, 521, 25775, 11827, 888, 306, 25775, 568, 1767, 547, 723, 12090, 538, 3624, 12341, 1063, 519, 476, 276, 628, 543, 476, 274, 6113, 2540, 7460, 607, 513, 1505, 540, 8497, 3165, 538, 6070, 267, 2687, 547, 10828, 269, 715, 732, 345, 25775, 267, 519, 3312, 1826, 540, 521, 25775, 267, 814, 1044, 2813, 2429, 3162, 5101, 5607, 585, 7366, 540, 1296, 267, 543, 972, 616, 1869, 3788, 540, 621, 538, 930, 2127, 540, 519, 3148, 2221, 563, 2710, 596, 991, 547, 11547, 5545, 7573, 888, 10303, 5545, 7573, 814, 3648, 2362, 2157, 540, 19346, 543, 3940, 982, 824, 2010, 267, 621, 1590, 581, 18233, 547, 4894, 519, 3063, 20566, 543, 3940, 269, 2755, 519, 6529, 1465, 540, 7573, 630, 16746, 547, 519, 20566, 1543, 264, 568, 2556, 547, 3180, 519, 11273, 9274, 1927, 865, 602, 789, 949, 581, 13881, 609, 14299, 560, 6506, 267, 1932, 1454, 6529, 1465, 2164, 538, 7573, 602, 568, 22350, 1750, 14567, 563, 3674, 808, 777, 517, 3821, 513, 7573, 888, 297, 777, 517, 3821, 7573, 568, 13747, 676, 1507, 267, 3170, 9274, 602, 1205, 20202, 950, 11273, 282, 521, 25775, 7573, 267, 607, 1134, 607, 519, 5686, 540, 7573, 4122, 1031, 538, 7969, 1567, 582, 1729, 267, 971, 607, 2961, 333, 541, 10008, 543, 818, 4011, 1470, 267, 616, 1806, 540, 795, 777, 517, 3821, 7573, 563, 3674, 8316, 9469, 606, 4095, 2754, 888, 295, 1177, 9469, 13648, 619, 17290, 5549, 267, 19497, 1634, 607, 16242, 13648, 619, 543, 10331, 10662, 13456, 267, 568, 606, 4095, 1870, 602, 24870, 538, 519, 2504, 540, 2604, 3434, 619, 543, 824, 10051, 14233, 269, 634, 2754, 779, 22071, 616, 538, 29180, 267, 543, 621, 814, 1614, 2504, 6703, 538, 774, 2033, 267, 670, 9655, 3511, 20580, 267, 543, 26566, 684, 20580, 563, 8005, 568, 519, 8227, 540, 8316, 9469, 888, 293, 15903, 538, 476, 4198, 280, 676, 16724, 670, 269, 667, 269, 23849, 644, 21416, 538, 2930, 11450, 609, 700, 14371, 269, 8316, 9469, 540, 4789, 267, 8316, 9469, 13648, 619, 17290, 568, 513, 10672, 540, 3434, 2264, 269, 2991, 8938, 19317, 1296, 538, 519, 1870, 267, 670, 6185, 269, 23849, 644, 21416, 11542, 1524, 543, 5293, 936, 519, 556, 1231, 547, 1010, 5067, 267, 6004, 269, 23347, 332, 23849, 644, 21416, 267, 945, 2968, 519, 2754, 779, 7022, 563, 8005, 11827, 4095, 2604, 3434, 518, 888, 5715, 21065, 611, 4725, 26864, 1157, 729, 513, 3818, 268, 2145, 5034, 1367, 945, 5030, 538, 2836, 12827, 3279, 267, 4639, 19377, 267, 945, 22234, 513, 3309, 3099, 540, 5759, 8151, 689, 2951, 1603, 547, 7762, 1415, 269, 1717, 267, 835, 540, 519, 1919, 585, 799, 646, 568, 1034, 1134, 8153, 568, 519, 5137, 540, 519, 9252, 3434, 518, 267, 849, 5219, 547, 607, 519, 594, 13967, 2975, 3434, 2264, 269, 0, 1432, 1772, 5680, 476, 274, 269, 271, 538, 31427, 286, 8892, 4462, 5744, 29552, 3465, 757, 589, 19750, 4197, 563, 288, 1297, 540, 5680, 476, 274, 269, 271, 3156, 267, 849, 1572, 546, 7343, 338, 267, 2110, 585, 18228, 3156, 267, 616, 1373, 3710, 593, 21578, 267, 1572, 676, 930, 519, 968, 16447, 2780, 1848, 13298, 982, 16475, 891, 3156, 593, 513, 21438, 7746, 267, 21578, 3096, 3593, 268, 6016, 730, 9136, 593, 519, 9893, 547, 1450, 4896, 547, 946, 873, 1510, 2348, 741, 1239, 1395, 564, 1242, 563, 2467, 568, 1100, 3844, 11769, 602, 666, 3625, 835, 779, 1569, 547, 891, 546, 7343, 338, 269, 3958, 267, 519, 21578, 3060, 2488, 3710, 2987, 8569, 7207, 998, 922, 5065, 15170, 267, 661, 8025, 269, 1306, 851, 540, 519, 31672, 540, 519, 23066, 1357, 267, 11033, 593, 21578, 798, 711, 2154, 2123, 1344, 267, 543, 972, 568, 1100, 3844, 6392, 602, 666, 2061, 610, 3768, 334, 11033, 269, 898, 568, 2693, 602, 15170, 11033, 786, 1831, 606, 1271, 851, 540, 5680, 476, 274, 269, 271, 267, 2094, 789, 616, 2111, 547, 2709, 14949, 543, 2282, 2987, 560, 656, 8852, 602, 616, 2139, 476, 2190, 3108, 513, 1554, 269, 700, 16576, 312, 1107, 519, 15170, 3297, 519, 18228, 3059, 19458, 700, 16576, 312, 1107, 786, 849, 1404, 606, 1271, 1909, 538, 28196, 1456, 519, 2078, 1063, 1543, 15888, 543, 6800, 269, 700, 16576, 312, 2636, 15888, 547, 14202, 3312, 1543, 543, 6430, 875, 789, 6999, 547, 1395, 564, 1125, 621, 269, 634, 700, 16576, 312, 18351 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 305, 537, 614, 11370, 3539, 6651, 257, 607, 851, 540, 834, 28035, 1315, 16179, 518, 781, 20929, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 1565, 827, 20012, 543, 2749, 1646, 538, 1686, 1362, 269, 2334, 4992, 4277, 256, 1684, 596, 917, 1018, 621, 1797, 2496, 7692, 281, 23010, 267, 2186, 540, 269, 898, 814, 1945, 547, 798, 609, 4872, 3395, 543, 4657, 936, 942, 267, 1318, 2496, 8334, 281, 22549, 256, 1924, 267, 950, 811, 1004, 1376, 2713, 538, 835, 1747, 267, 899, 513, 1507, 4884, 267, 621, 666, 1831, 513, 2462, 2749, 269, 901, 1184, 568, 1572, 20012, 269, 2052, 596, 1589, 540, 1022, 4128, 1946, 1004, 1131, 1616, 547, 1847, 547, 513, 2749, 2496, 7692, 281, 4270, 267, 972, 1522, 581, 811, 2816, 3255, 610, 1732, 3506, 269, 20079, 849, 2356, 723, 811, 15945, 543, 4025, 547, 13793, 856, 780, 8334, 281, 1411, 2811, 11613, 1318, 256, 1809, 3006, 267, 782, 1346, 1007, 5656, 543, 9897, 666, 1689, 519, 1259, 1004, 2661, 543, 2170, 609, 1142, 824, 269, 1280, 1383, 267, 952, 513, 6288, 568, 8719, 676, 513, 10918, 32041, 267, 3214, 1522, 711, 723, 607, 1082, 4025, 547, 1404, 3544, 269, 5620, 596, 2479, 8068, 4376, 2147, 8345, 538, 938, 8378, 2496, 7692, 281, 24511, 267, 9811, 269, 1358, 2811, 2679, 513, 19619, 540, 6306, 906, 2282, 1250, 2777, 267, 543, 621, 7959, 899, 972, 616, 2141, 811, 6517, 593, 519, 4155, 1631, 780, 8334, 281, 2334, 781, 1317, 540, 20012, 256, 2859, 1004, 3001, 883, 519, 1858, 1797, 811, 3747, 585, 8027, 543, 6283, 269, 3767, 267, 1577, 803, 2307, 596, 1776, 2243, 269, 1548, 4523, 950, 513, 2749, 9428, 1932, 3728, 1510, 1697, 4058, 2496, 7692, 281, 670, 7825, 267, 594, 7058, 972, 1223, 581, 2042, 899, 6808, 795, 4461, 267, 5533, 267, 610, 711, 2614, 11614, 543, 3506, 585, 3025, 780, 8334, 281, 20056, 550, 8343, 256, 4975, 24990, 991, 547, 2015, 782, 891, 2188, 547, 1118, 2386, 519, 2208, 2640, 3025, 1247, 10893, 2942, 5222, 269, 1358, 6430, 1141, 547, 2322, 9897, 267, 5656, 267, 543, 1857, 5624, 865, 602, 1004, 666, 3362, 1569, 2533, 789, 991, 269, 1635, 3257, 713, 267, 789, 948, 1711, 2178, 2950, 1141, 1004, 666, 960, 1927, 543, 1489, 1142, 824, 780, 7692, 281, 2334, 2306, 2631, 269, 1924, 267, 621, 781, 1271, 585, 4872, 547, 1020, 5100, 569, 267, 5329, 1312, 1699, 543, 2104, 7264, 538, 2247, 780, 8334, 281, 8786, 267, 4010, 256, 1656, 1620, 20012, 543, 2749, 1646, 2337, 721, 5660, 875, 938, 1378, 2950, 723, 6738, 543, 4957, 936, 942, 269, 9578, 267, 6616, 713, 1686, 786, 948, 721, 1118, 5483, 3664, 950, 649, 7119, 538, 2199, 6214, 610, 2146, 2621, 780, 7692, 281, 8729, 585, 7713, 621, 865, 5693, 267, 7705, 256, 594, 1745, 899, 594, 1174, 621, 1454, 1732, 1631, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24246, 8168, 7358, 1049, 1656, 570, 716, 673, 10395, 520, 769, 2494, 577, 22202, 267, 476, 3707, 276, 281, 4864, 23566, 630, 290, 817, 10022, 2201, 8168, 630, 305, 11701, 264, 13639, 15232, 267, 476, 279, 994, 24246, 8168, 7358, 1049, 1656, 570, 716, 673, 10395, 520, 769, 2494, 577, 22202, 267, 476, 3707, 276, 281, 4864, 23566, 630, 290, 817, 10022, 2201, 8168, 630, 305, 11701, 264, 13639, 15232, 267, 476, 279, 994, 8923, 2689, 4444, 8168, 7358, 1049, 543, 570, 716, 673, 10395, 520, 547, 798, 938, 554, 534, 614, 320, 269, 1284, 1412, 557, 3204, 21884, 2406, 647, 532, 15020, 6204, 1597, 15077, 269, 634, 3070, 596, 4235, 16798, 568, 1804, 269, 2087, 707, 3397, 18649, 10131, 547, 2196, 1200, 7065, 1993, 320, 10044, 609, 713, 4336, 269, 3592, 267, 649, 6170, 519, 1114, 4444, 8168, 7358, 1049, 543, 570, 716, 673, 10395, 520, 538, 2494, 577, 22202, 267, 476, 3707, 276, 281, 4864, 23566, 630, 290, 817, 10022, 593, 8168, 630, 305, 11701, 264, 13639, 15232, 267, 476, 279, 264, 700, 306, 13967, 5420, 538, 2295, 269, 1284, 729, 9474, 293, 10030, 538, 1032, 269, 2934, 281, 4813, 631, 4488, 310, 676, 4864, 514, 8361, 267, 1500, 593, 1912, 335, 289, 756, 269, 901, 2104, 568, 25954, 1143, 540, 3909, 25210, 5196, 513, 2104, 269, 6236, 15649, 543, 521, 909, 519, 4334, 269, 1284, 991, 513, 1459, 6377, 4786, 540, 519, 667, 597, 747, 2280, 2250, 896, 16453, 7252, 269, 3478, 1568, 543, 13267, 909, 519, 2244, 269, 9373, 856, 875, 267, 689, 4929, 647, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31413, 1436, 543, 4975, 4886, 257, 607, 851, 540, 834, 19615, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 1315, 4937, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 8004, 3957, 667, 1695, 21754, 945, 6068, 547, 2721, 543, 2328, 269, 2701, 1185, 513, 2027, 10516, 585, 2870, 4190, 5961, 543, 1603, 6586, 2719, 2984, 269, 1879, 1352, 8057, 909, 267, 1352, 2968, 513, 4583, 2278, 543, 7376, 2439, 3080, 1554, 267, 667, 1695, 21754, 1336, 606, 2025, 4216, 4904, 609, 4574, 538, 1200, 1140, 545, 269, 1306, 1352, 6743, 998, 873, 267, 1352, 4362, 1082, 16782, 910, 12400, 1352, 1500, 950, 1352, 729, 1175, 513, 1126, 267, 2984, 1352, 5206, 950, 1352, 729, 7820, 267, 543, 1256, 5022, 689, 1200, 1920, 543, 2828, 780, 30948, 616, 891, 8119, 4280, 667, 1695, 21754, 781, 2370, 7015, 267, 570, 20207, 269, 1261, 729, 1152, 2947, 1296, 2025, 543, 4769, 1405, 917, 1454, 827, 519, 1158, 2943, 780, 257, 4322, 616, 1250, 2025, 2984, 543, 12400, 2437, 6045, 667, 1695, 21754, 269, 834, 296, 1031, 547, 1118, 873, 950, 594, 729, 707, 2085, 3010, 307, 20207, 6743, 14281, 269, 834, 2791, 1611, 596, 666, 1118, 707, 1378, 2984, 543, 5961, 1932, 8119, 646, 4280, 780, 257, 8133, 267, 594, 666, 10590, 1767, 667, 1695, 21754, 269, 834, 4517, 865, 666, 596, 269, 2353, 596, 991, 568, 513, 15513, 543, 1957, 3010, 3383, 267, 667, 1695, 21754, 6026, 570, 20207, 875, 547, 3180, 513, 15513, 543, 1118, 7436, 593, 1957, 269, 2311, 1101, 267, 570, 20207, 17388, 547, 1832, 1010, 3515, 2786, 267, 855, 4166, 646, 3893, 519, 13793, 540, 621, 780, 257, 3086, 1577, 781, 2119, 1818, 513, 4605, 1927, 2437, 6700, 667, 1695, 21754, 269, 834, 1432, 798, 596, 1616, 547, 2721, 12482, 307, 20207, 2219, 585, 513, 4090, 269, 834, 288, 3032, 10590, 646, 608, 13094, 780, 3383, 267, 667, 1695, 21754, 5280, 570, 20207, 2721, 513, 2462, 267, 2770, 27918, 3032, 269, 1358, 3773, 31953, 619, 267, 10772, 267, 543, 513, 1279, 2766, 269, 3973, 789, 16668, 513, 12826, 540, 5144, 1985, 547, 519, 3032, 780, 257, 16100, 1018, 649, 1500, 10590, 1767, 570, 20207, 23217, 269, 834, 4692, 649, 2490, 621, 883, 513, 1650, 1631, 12482, 257, 8170, 1576, 10590, 1767, 667, 1695, 21754, 269, 834, 4131, 803, 1397, 596, 875, 3010, 29310, 267, 667, 1695, 21754, 543, 570, 20207, 2813, 513, 6586, 2719, 1650, 827, 519, 3032, 6704, 922, 5144, 269, 898, 4682, 899, 713, 1384, 2467, 2899, 729, 513, 3032, 865, 3170, 2676, 7804, 9722, 5144, 689, 513, 21743, 11058, 563, 9515, 561, 11474, 621, 782, 909, 609, 10508, 2676, 303, 584, 2590, 2571, 344, 2429, 519, 3781, 780, 10190, 1352, 21401, 856, 593, 519, 24821, 2676, 293, 2683, 609, 14246, 543, 1543, 618, 8913, 13949, 563, 14187, 9519, 6539, 1399, 267, 6653, 9909, 3020, 2676, 2171, 2648, 596, 267, 9811, 267, 602, 781, 1318, 267, 649, 798, 2439, 307, 20207, 804, 11474, 1010, 3946, 609, 575, 23932, 269, 834, 6546, 729, 1187, 10590, 646, 1767, 269, 834, 4692, 649, 1118, 811, 2984, 543, 5961, 14182, 12482, 21202, 2125, 5193, 569, 2437, 20493, 667, 1695, 21754, 269, 834, 1805, 800, 5503, 568, 1169, 1554, 15323, 5804, 1287, 593, 267, 667, 1695, 21754, 543, 570, 20207, 6170, 3108, 5373, 543, 1603, 1927, 269, 1656, 8164, 2576, 4280, 1141, 789, 4121, 547, 1711, 971, 8748, 2984, 543, 5961, 267, 667, 1695, 21754, 1131, 2161, 267, 834, 2005, 6238, 609, 513, 15513, 543, 1957, 910, 543, 513, 8049, 2247, 10590, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 1695, 21754, 2098, 528, 778, 594, 335, 8364, 14430, 454, 9928, 2100, 543, 12937, 454, 8624, 3005, 3568, 2504, 1570, 585, 476, 2412, 2835, 3370, 1063, 476, 3707, 276, 268, 1960, 271, 267, 543, 2882, 1312, 12377, 543, 3879, 13577, 1570, 269, 1703, 568, 849, 513, 8101, 2179, 540, 19359, 547, 543, 689, 667, 1695, 21754, 594, 335, 8364, 269, 634, 4015, 849, 2882, 2504, 1570, 585, 930, 10002, 21242, 10643, 267, 930, 3765, 3250, 10389, 1148, 960, 1519, 930, 2944, 585, 519, 12139, 1412, 21609, 5020, 10086, 1148, 2944, 585, 513, 14364, 16968, 267, 930, 1875, 26247, 1570, 11341, 547, 5399, 12909, 267, 930, 2038, 960, 2944, 585, 2984, 2854, 676, 1200, 9393, 267, 1520, 20462, 594, 335, 8364, 267, 609, 930, 12377, 1570, 676, 1200, 9393, 3769, 267, 543, 930, 1148, 960, 2944, 607, 513, 1126, 585, 513, 1650, 676, 1200, 7015, 267, 570, 612, 574, 2098, 528, 778, 267, 607, 1134, 607, 930, 2038, 9954, 543, 513, 2852, 6249, 676, 667, 1695, 21754, 594, 335, 8364, 563, 268, 20520, 281, 476, 4572, 279, 268, 1001, 273, 454, 268, 594, 335, 8364, 267, 667, 1695, 21754, 267, 476, 4489, 278, 268, 1001, 278, 630, 31094, 994, 30812, 1431, 717, 1478, 940, 7457, 454, 15411, 585, 946, 538, 519, 4432, 1067, 700, 269, 1656, 619, 523, 7732, 2542, 4055, 563, 30812, 1431, 717, 1478, 940, 2422, 454, 1607, 4015, 949, 581, 6870, 676, 519, 14645, 4521, 540, 519, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 17826, 1315, 681, 1506, 2719, 12267, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 5149, 476, 276, 281, 10201, 622, 7464, 885, 543, 23155, 10713, 525, 538, 22383, 543, 18753, 26358, 692, 7072, 912, 1103, 938, 3408, 540, 14810, 1369, 14676, 543, 8642, 9089, 267, 621, 781, 1898, 547, 4983, 519, 9159, 1523, 540, 14595, 19178, 543, 6252, 5203, 525, 269, 1452, 2093, 616, 11342, 2066, 1585, 2923, 12043, 282, 2705, 267, 789, 3180, 2189, 4644, 1369, 18615, 1148, 1813, 547, 741, 3308, 9423, 7207, 269, 769, 713, 1770, 267, 649, 786, 5490, 2620, 883, 891, 10578, 2239, 2645, 1247, 7421, 2824, 2013, 2090, 6537, 689, 2442, 30841, 3126, 971, 607, 715, 1846, 2541, 781, 3883, 540, 14886, 630, 301, 1846, 2541, 962, 19476, 329, 514, 577, 16230, 1070, 5915, 517, 6215, 9707, 281, 13690, 1115, 340, 1100, 962, 320, 756, 320, 267, 543, 7780, 10277, 3000, 334, 631, 2532, 540, 18266, 780, 4089, 476, 272, 281, 20223, 16301, 454, 2414, 2253, 267, 1577, 721, 3715, 2312, 8847, 585, 1883, 2474, 1031, 2429, 713, 1770, 1384, 272, 269, 10201, 622, 7464, 885, 281, 4676, 619, 547, 14070, 5468, 3982 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12827, 1154, 267, 610, 938, 1445, 2221, 1107, 13274, 665, 583, 256, 5994, 1373, 2111, 547, 1711, 1896, 4190, 4773, 540, 11247, 689, 1175, 835, 20077, 1374, 269, 2334, 781, 1018, 2306, 13274, 665, 7491, 865, 2027, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 3383, 267, 1018, 4010, 568, 513, 13274, 665, 583, 286, 4270, 267, 621, 6238, 609, 513, 4062, 540, 13274, 1961, 636, 630, 13433, 267, 899, 519, 6989, 8720, 14386, 602, 5159, 2981, 883, 513, 8228, 6676, 269, 4635, 8325, 2645, 1572, 575, 537, 2471, 267, 789, 1286, 557, 2476, 2694, 540, 519, 13274, 1961, 636, 2627, 267, 6028, 6659, 2127, 602, 786, 3180, 13504, 269, 4495, 13504, 539, 909, 267, 519, 6676, 666, 1287, 581, 20399, 5196, 1957, 610, 5958, 267, 22151, 519, 6967, 4608, 541, 1386, 1374, 2609, 543, 6721, 513, 8748, 9102, 11247, 2439, 3086, 1577, 781, 2263, 930, 4583, 13274, 665, 583, 5159, 4171, 1568, 723, 2451, 9434, 24221, 269, 2290, 971, 7376, 568, 623, 32631, 20266, 27591, 267, 945, 4603, 539, 609, 13274, 665, 7491, 2663, 538, 1010, 4876, 269, 1261, 1336, 1007, 2081, 547, 13861, 519, 5420, 267, 1256, 2870, 3818, 23469, 13274, 665, 7491, 676, 5969, 543, 556, 553, 5145, 1782, 1585, 6106, 256, 6271, 7415, 7376, 568, 19863, 324, 22947, 267, 1634, 585, 1010, 7524, 543, 17615, 13274, 665, 583, 2592, 18995, 2413, 1272, 1282, 519, 476, 4572, 271, 338, 543, 1412, 1789, 338, 269, 3571, 960, 6273, 1082, 824, 5159, 547, 2119, 856, 713, 4480, 1932, 780, 4131, 781, 1294, 875, 891, 5159, 1031, 13274, 665, 7491, 547, 2769, 741, 3860, 22649, 2439, 7078, 476, 272, 281, 7822, 995, 4975, 2675, 1901, 676, 8861, 454, 27880, 6499, 547, 7001, 1200, 554, 32528, 781, 14297, 10754, 543, 10477, 5656, 998, 513, 3126, 540, 13274, 665, 7491, 269, 2701, 5956, 676, 11516, 4221, 1200, 6429, 593, 1957, 1354, 16439, 621, 5196, 513, 13274, 1961, 636, 6656, 269, 3973, 1352, 5402, 11912, 856, 9486, 267, 9885, 267, 543, 824, 3877, 1247, 8497, 3677, 5546, 585, 12050, 4778, 269, 2991, 538, 6362, 1142, 3693, 14384, 630, 6748, 2699, 585, 20398, 267, 4544, 585, 9486, 267, 3092, 13776, 8861, 2046, 525, 873, 782, 1927, 5196, 3043, 1957, 267, 9256, 873, 883, 513, 18512, 4683, 31858, 4821, 780, 7078, 476, 273, 281, 7186, 781, 6641, 21620, 676, 8751, 454, 25402, 740, 2803, 7320, 543, 2470, 267, 530, 5109, 547, 2671, 922, 5898, 3842, 13274, 665, 7491, 269, 3689, 267, 646, 2824, 338, 513, 5172, 3662, 1765, 2280, 781, 2161, 621, 781, 513, 8797, 2025, 22559, 829, 3481, 1851, 15489, 3762, 269, 11374, 2147, 3268, 607, 8861, 267, 8751, 25780, 267, 19132, 267, 543, 1286, 1407, 1010, 3239, 855, 8591, 3063, 9403, 676, 8795, 519, 3178, 540, 1010, 11912, 269, 901, 5932, 11029, 3604, 950, 13504, 539, 267, 4758, 10155, 547, 17207, 543, 16714, 269, 2060, 6297, 14261, 630, 23164, 3388, 909, 10502, 1070, 8751, 7472, 10875, 24352, 565, 1819, 16493, 15386, 2470, 781, 26672, 528, 780, 2026, 596, 666, 1294, 267, 13274, 665, 7491, 2709, 11995, 7399, 585, 7499, 4082, 269, 3245, 13830, 2749, 2675, 16747, 547, 14120, 2470, 267, 972, 781, 1100, 3970, 4849, 707, 9345, 256, 1924, 1946, 711, 2285, 13274, 665, 583, 1154, 513, 627, 20071, 3054, 286, 1411, 1522, 1265, 602, 13167, 891, 2189, 16493, 3587, 707, 21777, 6612, 269, 8414, 26002, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1626, 2443, 476, 2190, 20029, 476, 1708, 274, 454, 20877, 545, 5071, 1299, 10439, 18058, 267, 11638, 5937, 21326, 5071, 267, 3203, 1315, 11814, 17156, 454, 2414, 8661, 5507, 5071, 16635, 476, 1708, 274, 267, 19848, 860, 773, 568, 9599, 547, 14773, 513, 5698, 609, 3203, 2685, 654, 8712, 267, 519, 3810, 268, 2017, 730, 2228, 10918, 10278, 267, 8744, 2298, 1148, 547, 1148, 18798, 3168, 585, 10097, 3435, 563, 2304, 6605, 860, 773, 779, 3751, 781, 10003, 20155, 786, 8858, 606, 9058, 1899, 1575, 540, 16805, 5159, 4481, 26940, 676, 3203, 2685, 654, 8712, 1519, 22189, 4521, 525, 267, 918, 307, 3911, 841, 267, 13198, 21289, 4591, 889, 267, 631, 14709, 645, 21672, 267, 1744, 15546, 681, 753, 6062, 543, 590, 4689, 715, 987, 342, 8643, 269, 3203, 12439, 543, 1374, 7192, 20601, 15606, 616, 14376, 547, 23365, 2933, 538, 513, 3308, 3460, 540, 11108, 5876, 543, 6667, 269, 3171, 520, 1005, 606, 11141, 5542, 540, 9754, 2298, 5386, 19603, 16493, 676, 519, 22644, 539, 5159, 267, 519, 14266, 3091, 513, 9159, 11100, 540, 2189, 5380, 267, 11495, 15437, 267, 543, 2219, 4538, 2035, 269, 3962, 7376, 6770, 741, 10058, 5075, 547, 519, 17198, 267, 4611, 538, 513, 7524, 7148, 652, 337, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31690, 665, 583, 257, 607, 851, 540, 834, 11286, 1315, 2398, 6493, 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, 1012, 8641, 7869, 543, 18650, 20028, 692, 1103, 713, 1837, 267, 649, 786, 2263, 3113, 3069, 543, 4187, 3845, 267, 2519, 593, 519, 5124, 3009, 3177, 538, 519, 1349, 269, 1284, 786, 946, 519, 2387, 2675, 27251, 4732, 27785, 319, 5399, 585, 23661, 5119, 4238, 543, 2387, 31596, 319, 585, 10230, 26398, 780, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 4732, 27785, 1104, 546, 758, 24624, 267, 561, 1400, 326, 454, 7884, 2162, 8641, 23830, 692, 1103, 3113, 3069, 267, 513, 3113, 3230, 294, 2330, 568, 6719, 607, 3230, 294, 815, 630, 309, 267, 661, 14638, 267, 1141, 3230, 309, 2330, 568, 519, 1305, 540, 14622, 630, 528, 9136, 264, 543, 3230, 292, 2330, 568, 519, 1305, 540, 8728, 269, 1323, 7755, 659, 1890, 5119, 3230, 288, 2330, 568, 513, 4009, 5119, 1031, 547, 2099, 513, 3113, 267, 1141, 519, 2609, 540, 519, 5119, 5815, 2436, 8424, 540, 14622, 616, 11105, 610, 711, 538, 519, 3113, 780, 763, 7755, 659, 1890, 5119, 3230, 288, 2330, 585, 606, 3768, 20526, 3113, 568, 3989, 607, 1384, 16465, 288, 3709, 6359, 348, 815, 1422, 8218, 26231, 1162, 8679, 272, 1299, 1422, 3667, 346, 604, 7684, 630, 341, 10983, 267, 642, 19553, 264, 1422, 514, 661, 8607, 454, 271, 1299, 1422, 3667, 346, 1278, 3772, 8679, 17910, 26231, 1162, 8679, 9681, 3602, 3230, 341, 10983, 2330, 543, 3230, 341, 19553, 2330, 616, 14622, 538, 519, 3113, 780, 2162, 23422, 19336, 692, 763, 4110, 5119, 3230, 291, 2330, 568, 513, 15497, 5119, 602, 3568, 1344, 827, 519, 4110, 540, 1142, 14584, 269, 634, 4110, 540, 513, 14584, 568, 519, 1297, 540, 8728, 4448, 547, 621, 269, 1280, 606, 3768, 20526, 3113, 267, 519, 4110, 5119, 568, 3989, 607, 1384, 16465, 291, 3709, 6359, 348, 815, 1422, 8218, 26231, 1162, 8679, 20728, 18097, 1122, 12917, 341, 10983, 264, 1299, 1422, 3667, 346, 604, 7684, 1775, 815, 795, 8607, 454, 271, 1299, 1422, 3667, 346, 1278, 3772, 8679, 17910, 26231, 1162, 8679, 9681, 3602, 6695, 3667, 18097, 1122, 12917, 341, 10983, 14638, 568, 519, 4110, 540, 14584, 3230, 341, 10983, 29634, 2162, 5487, 680, 659, 1014, 19336, 692, 763, 5487, 680, 659, 1014, 5119, 3230, 299, 2330, 568, 513, 5119, 6041, 540, 513, 3113, 602, 568, 1031, 547, 5659, 519, 3113, 781, 3601, 269, 898, 568, 3989, 607, 1384, 16465, 299, 815, 667, 910, 589, 454, 9681, 3602, 3230, 291, 2330, 568, 519, 4110, 5119, 543, 3230, 288, 2330, 568, 519, 7755, 659, 1890, 5119, 780, 2162, 28342, 7765, 2091, 540, 513, 19336, 692, 763, 15554, 7765, 2091, 540, 513, 5119, 3230, 288, 18079, 20922, 607, 3230, 288, 317, 266, 18079, 568, 513, 31633, 540, 519, 11201, 5119, 269, 1280, 606, 538, 3200, 1043, 5119, 267, 519, 15554, 7765, 2091, 568, 519, 1482, 607, 519, 11201, 269, 1717, 267, 519, 15554, 7765, 2091, 666, 849, 581, 3989, 585, 1875, 2987, 3200, 1043, 14290, 269, 769, 2387, 31596, 12452, 519, 15554, 7765, 2091, 666, 581, 17223, 1210, 519, 2387, 31596, 7456, 1400, 326, 4877, 28717, 319, 1599, 780, 2162, 18650, 20028, 692, 4910, 2700, 3845, 568, 513, 2268, 540, 519, 2500, 4187, 1063, 1079, 14622, 538, 513, 3113, 269, 898, 568, 7229, 1210, 519, 15554, 7765, 2091, 540, 519, 5487, 680, 659, 1014, 5119, 269, 1280, 513, 3113, 609, 3230, 333, 2330, 14622, 267, 519, 4187, 3845, 1063, 14622, 3230, 328, 2330, 543, 3230, 329, 2330, 568, 3989, 607, 1384, 16465, 315, 29604, 3709, 6359, 348, 815, 700, 317, 266, 3709, 4512, 348, 1341, 700, 317, 266, 3709, 329, 329, 348, 910, 476, 273, 299, 317, 266, 3709, 6359, 8679, 9681, 3602, 3230, 299, 317, 266, 2330, 568, 519, 15554, 7765, 2091, 540, 519, 5487, 680, 659, 1014, 5119, 780, 2162, 5124, 8943, 19247, 692, 3086, 602, 649, 723, 513, 2596, 1620, 540, 519, 2035, 267, 1577, 781, 3802, 998, 519, 3177, 5124, 3009, 780, 2971, 12433, 23422, 19336, 692, 763, 2387, 20412, 622, 291, 12801, 30467, 319, 1505, 21410, 519, 4110, 5119, 585, 519, 3113, 780, 3499, 7090, 454, 3698, 5173, 291, 12801, 30467, 4311, 2187, 825, 667, 9795, 815, 546, 758, 24624, 9230, 6352, 4311, 8542, 3941, 1070, 7003, 4311, 8542, 3941, 24270, 546, 6943, 284, 12639, 269, 15615, 994, 825, 585, 7329, 343, 538, 2039, 12759, 4311, 8542, 3941, 15892, 1038, 667, 9795, 314, 30915, 267, 7329, 343, 316, 6834, 476, 272, 454, 825, 2132, 667, 9795, 454, 7884, 2971, 12433, 1520, 329, 659, 1890, 19336, 692, 763, 2387, 20412, 622, 3849, 329, 659, 1890, 30467, 319, 1505, 21410, 519, 7755, 659, 1890, 5119, 585, 519, 3113, 780, 3499, 7090, 454, 3698, 5173, 3849, 329, 659, 1890, 30467, 4311, 2187, 825, 2549, 520, 3700, 815, 546, 758, 24624, 9230, 6352, 4311, 8542, 3941, 1070, 7003, 4311, 8542, 3941, 24270, 546, 6943, 284, 12639, 269, 15615, 994, 825, 585, 6316, 538, 1582, 269, 539, 2471, 912, 1038, 7329, 343, 271, 815, 1582, 8542, 3941, 296, 11459, 314, 8354, 314, 271, 27663, 1038, 7329, 343, 272, 815, 1582, 8542, 3941, 296, 11459, 314, 8354, 314, 272, 27663, 1038, 2549, 520, 3700, 314, 30915, 271, 267, 7329, 343, 272, 316, 815, 476, 272, 454, 1038, 2549, 520, 3700, 314, 30915, 272, 267, 7329, 343, 271, 316, 815, 476, 272, 454, 825, 2132, 2549, 520, 3700, 454, 7884, 2971, 30770, 18650, 20028, 692, 763, 2387, 4818, 1393, 4910, 2700, 291, 2700, 319, 1505, 1939, 525, 519, 4187, 3845, 585, 519, 3113, 780, 3499, 7090, 454, 3698, 12337, 4910, 2700, 291, 2700, 4311, 2187, 825, 667, 9795, 815, 1582, 269, 20412, 622, 291, 12801, 30467, 4590, 825, 2549, 520, 3700, 815, 1582, 269, 20412, 622, 3849, 329, 659, 1890, 30467, 4590, 825, 700, 9795, 815, 667, 9795, 30419, 6783, 3890, 910, 2549, 520, 3700, 30419, 6783, 4590, 825, 700, 10033, 815, 5286, 7456, 1400, 326, 4877, 28717, 27331, 9795, 994, 825, 26102, 815, 546, 758, 24624, 9230, 6352, 4311, 8542, 3941, 1070, 7003, 4311, 8542, 3941, 24270, 546, 6943, 284, 12639, 269, 15615, 994, 825, 585, 1775, 538, 2039, 12759, 4311, 8542, 3941, 15892, 1038, 585, 795, 538, 2039, 12759, 4311, 8542, 3941, 15892, 2018, 26102, 5157, 267, 795, 316, 815, 700, 10033, 5157, 267, 1775, 316, 1341, 700, 10033, 14728, 267, 795, 316, 910, 476, 273, 2608, 700, 10033, 5157, 267, 795, 2639, 825, 2132, 26102, 454, 7884, 1103, 713, 1505, 267, 649, 1101, 5173, 519, 4110, 543, 7755, 659, 1890, 14290, 1210, 519, 5892, 3989, 2409, 269, 1284, 1287, 12337, 519, 5487, 680, 659, 1014, 5119, 676, 18946, 519, 7755, 659, 1890, 5119, 689, 519, 4110, 5119, 269, 634, 15554, 7765, 2091, 540, 519, 5487, 680, 659, 1014, 5119, 568, 7229, 1210, 2387, 31596, 7456, 1400, 326, 4877, 28717, 18269, 7053, 267, 649, 5173, 519, 4187, 3845, 585, 1142, 6292, 540, 14622, 1210, 519, 4542, 585, 4187, 3845, 780, 1103, 3932, 267, 713, 1837, 814, 3177, 606, 538, 3829, 3408, 540, 3113, 3069, 543, 4187, 3845, 267, 2519, 593, 519, 5124, 3009, 3177, 538, 519, 1349, 269, 1635, 1620, 891, 2035, 543, 519, 3177, 3009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 2429, 519, 1788, 267, 2679, 593, 3105, 8747, 563, 268, 634, 1377, 540, 1469, 543, 942, 596, 6108, 593, 713, 21767, 786, 4096, 593, 519, 1788, 563, 763, 1034, 1271, 4183, 540, 519, 2203, 568, 922, 2702, 547, 4383, 7164, 4220, 1310, 519, 1788, 814, 862, 10642, 282, 2870, 513, 18634, 2306, 713, 15164, 269, 634, 1292, 2014, 540, 519, 3301, 1646, 3785, 5821, 568, 519, 3903, 540, 519, 2203, 267, 865, 1058, 581, 1500, 609, 513, 1390, 1416, 269, 14066, 543, 1164, 16151, 3785, 267, 2523, 267, 946, 30924, 1759, 1646, 543, 3728, 1646, 540, 1164, 7779, 3301, 563, 763, 4058, 1184, 849, 3322, 26724, 6937, 1759, 593, 5506, 543, 1761, 1764, 267, 538, 799, 519, 2319, 666, 1020, 513, 3210, 4640, 547, 891, 4220, 543, 1832, 519, 1788, 3001, 269, 634, 966, 21524, 601, 568, 1776, 5276, 2203, 609, 1142, 3942, 2348, 513, 7222, 4152, 2534, 269, 6270, 20104, 3919, 10522, 11108, 2298, 1852, 267, 855, 693, 519, 1482, 942, 267, 621, 2306, 519, 966, 21524, 601, 835, 540, 519, 1034, 7199, 543, 942, 21791, 3631, 269, 5047, 267, 1256, 1498, 9073, 538, 4170, 16551, 267, 3009, 543, 6189, 6959, 666, 581, 9571, 2038, 267, 2242, 1282, 1646, 616, 1869, 7199, 543, 2352, 547, 2936, 269, 1306, 538, 519, 4826, 6420, 2013, 267, 782, 4170, 616, 10356, 693, 519, 1376, 543, 3112, 581, 4957, 563, 5522, 8911, 533, 20269, 281, 634, 782, 2987, 4640, 585, 3397, 850, 16759, 454, 288, 4884, 20674, 2950, 538, 2679, 4557, 4458, 3292, 602, 4196, 607, 4507, 543, 12485, 269, 11531, 267, 621, 23131, 547, 11056, 282, 2749, 9858, 3801, 1945, 693, 513, 4130, 4336, 543, 4015, 5955, 1354, 14027, 538, 3388, 519, 6073, 609, 519, 1982, 269, 1280, 3236, 267, 513, 1808, 1374, 540, 519, 2713, 8265, 4806, 949, 581, 13986, 538, 513, 1747, 585, 513, 1032, 1354, 7393, 922, 2417, 13345, 269, 0, 16248, 1883, 2188, 1291, 547, 13027, 27150, 267, 610, 2960, 11959, 281, 7904, 320, 14711, 27150, 267, 1426, 11959, 267, 543, 23254, 656, 11959, 563, 293, 548, 320, 30665, 32536, 4345, 454, 2304, 13027, 3210, 547, 7904, 320, 19975, 568, 1018, 5012, 547, 713, 2186, 540, 2960, 14711, 269, 589, 2915, 609, 7904, 320, 14711, 27150, 630, 293, 4696, 264, 666, 723, 3665, 2199, 21422, 543, 786, 8611, 880, 569, 15072, 543, 11116, 519, 1858, 267, 3006, 547, 519, 6708, 540, 9427, 15649, 540, 9663, 269, 4107, 5243, 786, 1175, 1995, 513, 5634, 2179, 540, 9636, 543, 21422, 689, 513, 7904, 320, 11116, 269, 18307, 320, 6604, 568, 513, 1434, 2856, 1100, 2339, 1018, 267, 855, 621, 779, 2523, 8797, 585, 513, 2915, 609, 7904, 320, 11959, 2336, 18600, 1426, 11959, 616, 606, 6375, 1670, 5114, 269, 769, 4641, 267, 519, 5354, 540, 5243, 723, 1426, 22740, 8481, 610, 703, 11217, 1734, 269, 1452, 666, 2408, 693, 1022, 2085, 543, 616, 513, 11636, 3210, 547, 519, 5739, 3693, 563, 7312, 2915, 779, 2960, 949, 1831, 6213, 547, 1114, 6980, 267, 799, 1034, 4749, 4523, 538, 3210, 547, 519, 1426, 779, 3940, 23466, 267, 971, 607, 9269, 267, 14132, 267, 10683, 2472, 267, 23758, 267, 13386, 267, 610, 10568, 15347, 563, 15933, 22740, 8481, 616, 4749, 10483, 676, 16063, 2589, 971, 5323, 565, 532, 267, 19228, 267, 13165, 267, 3668, 540, 14031, 267, 26533, 267, 13481, 267, 543, 18024, 267, 799, 616, 3335, 7805, 593, 741, 10772, 543, 533, 9155, 563, 19013, 267, 1034, 2564, 5574, 31251, 29416, 8803, 6950, 1765, 18484, 1406, 960, 1134, 585, 1426, 22740, 8481, 269, 5502, 267, 596, 1058, 4137, 856, 1018, 568, 24254, 741, 3210, 543, 1287, 4894, 621, 689, 741, 2732, 269, 4793, 1466, 568, 1898, 1317, 2242, 3335, 1810, 1406, 1831, 18476, 585, 5216, 547, 12964, 4374, 1310, 4358, 513, 1007, 2732, 563, 13436, 547, 875, 930, 2043, 1205, 18720, 8611, 538, 519, 5614, 267, 930, 5243, 1995, 12119, 11959, 4547, 593, 676, 23480, 899, 18290, 543, 6371, 3542, 839, 269, 2368, 1004, 1995, 12119, 11959, 4547, 593, 676, 7646, 1168, 267, 9044, 267, 7452, 267, 543, 7452, 21746, 269, 2311, 8084, 27150, 267, 799, 1797, 968, 933, 2273, 892, 538, 5259, 267, 568, 4547, 593, 676, 4598, 547, 1585, 2825, 23480, 630, 514, 25691, 540, 519, 2960, 1916, 7312, 2915, 949, 6299, 741, 3068, 267, 561, 1157, 741, 3952, 267, 610, 621, 577, 741, 968, 8974, 1301, 892, 1858, 607, 2589, 540, 713, 4990, 540, 14711, 563, 288, 2126, 568, 10355, 24276, 1317, 2825, 23480, 616, 519, 3119, 27521, 338, 269, 901, 6920, 602, 519, 3804, 540, 2126, 786, 581, 547, 24390, 14711, 2589, 267, 543, 621, 949, 4125, 835, 610, 811, 540, 519, 1739, 912, 268, 1744, 2086, 5622, 9615, 269, 14627, 550, 28876, 609, 513, 3834, 334, 718, 1120, 21329, 31576, 5622, 602, 949, 610, 949, 711, 2270, 4550, 13611, 3334, 568, 519, 5227, 1576, 540, 2126, 269, 901, 18788, 23480, 602, 616, 1459, 593, 519, 10359, 610, 593, 519, 2960, 538, 1840, 547, 25695, 28349, 543, 22224, 2960, 563, 268, 10657, 547, 2569, 6553, 269, 14640, 7290, 26952, 543, 29416, 8803, 6950, 267, 799, 3247, 519, 13027, 5114, 267, 616, 1031, 607, 2126, 563, 268, 10657, 585, 1728, 1842, 31731, 1436, 543, 964, 31731, 1436, 269, 30665, 15833, 610, 14711, 13297, 16796, 616, 1031, 585, 2126, 269, 29895, 5666, 540, 1022, 18970, 602, 814, 1044, 3254, 547, 581, 519, 2707, 540, 707, 2915, 779, 11959, 616, 22280, 12353, 269, 901, 6087, 519, 4761, 1062, 540, 707, 2915, 547, 1205, 964, 31731, 1242, 547, 519, 16609, 18970, 563, 268, 16332, 657, 6269, 816, 656, 610, 1979, 11043, 6527, 269, 769, 915, 687, 540, 1395, 16438, 4689, 12489, 267, 971, 607, 7261, 9008, 2002, 543, 7442, 13228, 601, 267, 616, 1031, 607, 513, 1106, 540, 2126, 269, 8625, 267, 891, 5061, 2569, 543, 3625, 519, 11476, 540, 606, 7050, 4761, 3210, 4547, 593, 676, 22578, 693, 8084, 27150, 563, 1432, 1753, 14319, 666, 594, 946, 585, 1250, 2915, 779, 11959, 888, 291, 690, 11959, 666, 581, 4547, 593, 676, 513, 3099, 540, 1919, 267, 971, 607, 1426, 267, 7904, 553, 267, 543, 2825, 23480, 269, 1703, 616, 2994, 547, 948, 891, 11959, 1256, 952, 789, 666, 1267, 538, 18473, 2589, 1519, 3819, 267, 28349, 2960, 267, 32125, 267, 5563, 267, 6553, 267, 610, 16063, 2042, 563, 2414, 14867, 21422, 267, 4019, 11945, 524, 3187, 16693, 267, 17310, 3282, 267, 610, 620, 4141, 2357, 320, 547, 519, 2960, 269, 589, 25695, 27046, 22596, 27653, 2337, 865, 6139, 3819, 2960, 267, 21422, 267, 543, 8781, 269, 4675, 6123, 5351, 538, 519, 4835, 8878, 1996, 13027, 6547, 267, 543, 2178, 10457, 547, 1413, 856, 585, 1331, 844, 2075, 564, 514, 267, 28538, 601, 664, 267, 543, 2121, 1479, 563, 6701, 596, 543, 707, 22578, 13959, 5423, 547, 14679, 856, 2899, 811, 543, 1294, 519, 1158, 1510, 31153, 543, 32125, 286, 8347, 891, 18789, 3435, 267, 1287, 14679, 3544, 1586, 563, 5978, 2832, 693, 654, 2562, 24165, 8891, 568, 547, 1832, 5243, 3742, 543, 2635, 269, 3776, 8324, 3986, 519, 2489, 1072, 540, 707, 2915, 543, 616, 2813, 609, 1152, 2067, 3334, 563, 1432, 798, 22578, 2960, 11959, 1413, 899, 888, 1478, 569, 561, 10107, 269, 11676, 707, 3068, 269, 670, 1161, 610, 22297, 11926, 267, 1419, 1472, 519, 10772, 267, 4064, 267, 1274, 1166, 2355, 267, 543, 3068, 269, 898, 4221, 267, 2523, 538, 519, 9240, 514, 267, 818, 5404, 1080, 267, 3952, 267, 1166, 3471, 267, 543, 10772, 563, 1432, 568, 519, 1655, 2126, 585, 2915, 11959, 547, 519, 2960, 888, 291, 9233, 609, 2960, 11959, 666, 4324, 7494, 689, 519, 946, 540, 4550, 7290, 26952, 269, 4014, 454, 5445, 723, 7864, 2427, 2360, 982, 2392, 23036, 821, 855, 616, 711, 607, 4922, 2500, 563, 611, 2091, 2360, 543, 7494, 4217, 909, 547, 476, 2004, 260, 540, 5243, 609, 2960, 11959, 269, 1358, 616, 5386, 563, 10290, 12394, 547, 2061, 610, 1256, 2539, 519, 2179, 540, 2392, 23036, 821, 2838, 547, 1852, 454, 3558, 1465, 269, 2290, 4550, 7290, 8533, 949, 581, 1454, 811, 3608, 538, 1022, 2016, 3461, 563, 684, 3697, 1776, 269, 4475, 267, 621, 779, 2629, 547, 2119, 513, 1906, 1354, 23928, 593, 835, 602, 2965, 1568, 563, 8923, 2285, 519, 4550, 7290, 26952, 7396, 2630, 513, 8929, 585, 693, 2547, 1079, 547, 1614, 4374, 269, 952, 621, 779, 2324, 267, 1832, 2469, 454, 29019, 17982, 873, 952, 707, 2915, 568, 31153, 630, 17141, 2556, 1175, 1282, 1880, 12405, 267, 4352, 789, 454, 4754, 581, 1031, 782, 1032, 269, 15566, 547, 519, 1985, 6221, 593, 519, 1592, 952, 519, 1101, 835, 568, 23696, 563, 291, 760, 1156, 5139, 1090, 710, 630, 13051, 611, 787, 331, 2567, 3828, 823, 3232, 267, 835, 1984, 580, 1090, 829, 11013, 630, 821, 476, 1839, 2173, 326, 10788, 585, 513, 476, 1839, 2000, 321, 2915, 1916, 22336, 1485, 269, 595, 564, 597, 714, 710, 630, 313, 10455, 974, 322, 2567, 476, 272, 270, 275, 547, 476, 272, 270, 273, 8406, 7466, 3232, 630, 821, 476, 1015, 8406, 9184, 585, 1169, 476, 1789, 547, 476, 2412, 7273, 1040, 31240, 520, 611, 710, 630, 5141, 541, 527, 514, 2567, 2899, 3232, 267, 476, 272, 270, 275, 8406, 829, 11013, 630, 528, 476, 736, 7273, 267, 610, 3368, 540, 513, 476, 1015, 16936, 16979, 1040, 476, 271, 269, 6349, 8406, 829, 11013, 540, 1579, 332, 770, 710, 630, 307, 822, 626, 268, 272, 267, 14640, 7290, 268, 272, 264, 630, 821, 476, 272, 269, 4097, 16936, 16979, 829, 476, 4792, 331, 321, 2915, 994, 13512, 823, 829, 1554, 269, 1280, 513, 2915, 20604, 476, 1839, 6550, 267, 946, 835, 476, 1839, 16936, 10788, 540, 18038, 344, 345, 710, 7466, 1554, 269, 630, 15430, 5524, 454, 20594, 20594, 20594, 20594, 11960, 1879, 3144, 538, 5266, 1804, 2157, 267, 15060, 268, 274, 3165, 3282, 9761, 7408, 12462, 310, 601, 716, 514, 14615, 666, 3648, 24390, 2960, 21422, 563, 663, 6553, 267, 543, 789, 2461, 1434, 585, 519, 1560, 607, 513, 2898, 269, 5272, 12551, 14114, 559, 1587, 2115, 547, 581, 546, 2216, 563, 268, 2052, 1149, 896, 476, 1789, 6550, 281, 476, 4037, 8406, 3232, 540, 6404, 16501, 543, 667, 11190, 829, 11013, 563, 268, 17268, 20604, 476, 4029, 547, 476, 2568, 6550, 1058, 1491, 476, 2568, 8406, 540, 16501, 543, 667, 11190, 1142, 1554, 563, 268, 17268, 1657, 476, 2568, 6550, 1058, 1491, 476, 2004, 8406, 540, 16501, 543, 667, 11190, 3232, 267, 1927, 563, 2414, 2285, 707, 2915, 779, 9667, 1062, 942, 547, 4188, 547, 891, 13066, 267, 5225, 7930, 2333, 873, 936, 1472, 1079, 4374, 563, 611, 3286, 269, 22034, 513, 1164, 1790, 582, 1890, 1587, 786, 2569, 519, 4890, 2179, 540, 12551, 13813, 2838, 269, 1284, 454, 1432, 14711, 14319, 666, 594, 2709, 1250, 2915, 888, 2691, 513, 2915, 814, 7646, 3562, 21524, 4733, 11959, 267, 5484, 611, 787, 331, 568, 513, 9735, 3075, 547, 8415, 269, 4107, 540, 519, 942, 267, 5484, 611, 787, 331, 1568, 547, 1521, 11959, 971, 607, 12119, 11959, 267, 1426, 11959, 267, 2825, 11959, 267, 543, 13027, 6547, 547, 13131, 543, 17079, 17486, 269, 5484, 611, 787, 331, 568, 4749, 1031, 547, 13468, 21422, 538, 5243, 4547, 593, 676, 2960, 11959, 267, 543, 621, 849, 1447, 839, 1082, 824, 14711, 2589, 267, 971, 607, 912, 268, 4911, 328, 14003, 543, 6553, 454, 268, 2196, 5500, 4064, 543, 513, 9224, 454, 268, 13027, 3210, 454, 291, 4900, 1465, 267, 835, 540, 5484, 611, 787, 331, 779, 8801, 2360, 267, 11226, 538, 22196, 989, 18469, 5243, 269, 4340, 547, 519, 8585, 1188, 27259, 15015, 267, 16702, 1156, 5139, 1090, 710, 949, 948, 10130, 945, 616, 7680, 7646, 3562, 21524, 4733, 2951, 5829, 4160, 2589, 269, 3958, 267, 621, 1522, 24390, 5163, 19210, 269, 898, 779, 1655, 547, 5077, 707, 16943, 610, 606, 3662, 2623, 626, 547, 2697, 543, 1521, 519, 2014, 540, 519, 4160, 267, 1256, 952, 5484, 611, 787, 331, 949, 12212, 948, 563, 291, 9233, 609, 15958, 1591, 12970, 616, 2016, 5484, 611, 787, 331, 676, 14830, 12579, 547, 24390, 519, 2589, 540, 519, 1713, 1277, 8533, 5305, 4547, 593, 676, 15958, 1591, 2554, 3757, 1637, 269, 667, 760, 1156, 5139, 1090, 710, 568, 12212, 11311, 676, 14830, 12579, 585, 946, 1282, 2295, 11988, 5574, 1317, 621, 24506, 519, 7872, 540, 606, 8801, 5114, 547, 519, 6646, 269, 589, 1390, 1840, 547, 707, 4620, 779, 1101, 5351, 6539, 568, 5484, 611, 787, 331, 563, 4692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7807, 2765, 3189, 7032, 317, 274, 2410, 3953, 18511, 273, 294, 315, 15238, 273, 267, 2330, 1141, 3230, 294, 2330, 568, 519, 18280, 534, 781, 3586, 780, 16920, 3319, 692, 2690, 519, 1101, 2040, 267, 6695, 8999, 3709, 330, 284, 272, 23685, 13727, 4153, 2765, 346, 8987, 272, 8203, 330, 2410, 263, 273, 330, 266, 272, 8203, 273, 348, 295, 3709, 273, 330, 18098, 3725, 13375, 315, 3189, 8999, 3709, 330, 284, 272, 23685, 13727, 4153, 2765, 346, 328, 317, 330, 2410, 263, 330, 266, 272, 8203, 273, 348, 295, 3709, 330, 4153, 2431, 315, 9574, 2330, 799, 666, 581, 11117, 676, 1210, 519, 4542, 538, 713, 2022, 281, 6695, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 1422, 2765, 346, 295, 5332, 2410, 333, 317, 273, 4153, 267, 1535, 18898, 7807, 345, 9508, 263, 274, 264, 10954, 2765, 3189, 15238, 263, 272, 14870, 8203, 273, 315, 15238, 3287, 20972, 273, 23180, 15238, 263, 272, 14870, 9385, 28072, 4067, 346, 30537, 20731, 273, 263, 272, 14870, 264, 10954, 28072, 4067, 346, 30537, 20731, 274, 3287, 9984, 315, 28072, 4067, 346, 30537, 20731, 274, 263, 272, 14870, 1070, 2330, 855, 649, 3112, 4019, 519, 2147, 1935, 547, 519, 2034, 2040, 6695, 8999, 3709, 330, 284, 272, 23685, 13727, 4153, 2765, 346, 8987, 272, 8203, 330, 2410, 263, 273, 330, 266, 272, 8203, 273, 348, 295, 17624, 269, 2330, 3973, 267, 594, 6836, 547, 2328, 519, 2040, 607, 6695, 8999, 3709, 330, 284, 272, 23685, 13727, 4153, 2765, 346, 8987, 272, 8203, 330, 2410, 263, 273, 330, 266, 272, 8203, 273, 4153, 842, 318, 271, 317, 272, 21702, 346, 273, 343, 3867, 273, 330, 15396, 343, 317, 330, 268, 274, 2410, 343, 268, 272, 348, 349, 315, 9507, 15848, 2330, 543, 621, 1831, 811, 7294, 780, 31171, 1384, 6701, 649, 2111, 547, 6218, 519, 2040, 2047, 630, 28300, 12719, 29398, 543, 1135, 2643, 9233, 607, 1454, 607, 2009, 21663, 634, 7533, 2016, 676, 7711, 31568, 667, 262, 288, 584, 714, 1470, 568, 513, 3787, 7294, 630, 5408, 713, 2022, 6393, 1892, 7490, 1413, 552, 3052, 269, 693, 2979, 14714, 659, 651, 343, 4219, 2593, 270, 638, 5465, 270, 280, 1704, 15150, 270, 2507, 2073, 1141, 519, 2034, 3126, 568, 5941, 607, 513, 2427, 1198, 630, 6247, 656, 1269, 298, 259, 2073, 2626, 540, 13198, 857, 534, 264, 1547, 1107, 1109, 12528, 3445, 274, 7597, 8734, 476, 736, 1412, 1240, 693, 476, 1704, 281, 3393, 454, 1892, 7711, 12528, 3445, 274, 7597, 11289, 596, 585, 519, 3095, 256, 1107, 1109, 307, 1014, 331, 2728, 8734, 476, 2641, 1412, 1240, 693, 476, 278, 281, 6795, 454, 1892, 1411, 616, 10950, 256, 2433, 264, 1107, 1109, 12528, 3445, 274, 7597, 8734, 476, 2641, 1412, 1240, 693, 476, 1015, 281, 6321, 692, 763, 3126, 5473, 3230, 295, 17624, 2330, 543, 3230, 295, 3709, 273, 330, 6525, 666, 581, 6594, 538, 513, 2147, 1259, 281, 2094, 6695, 2765, 346, 10559, 8421, 263, 272, 14870, 20972, 272, 14870, 348, 815, 1422, 8999, 3709, 333, 315, 28254, 476, 272, 348, 670, 5332, 1535, 3867, 333, 6525, 649, 723, 6695, 2765, 346, 10559, 8421, 263, 272, 21147, 317, 273, 20972, 272, 21147, 317, 273, 348, 815, 1422, 8999, 3709, 333, 315, 28254, 476, 272, 348, 670, 5332, 8987, 272, 8203, 333, 1535, 3867, 273, 333, 6525, 543, 6695, 8999, 3709, 330, 315, 28254, 476, 272, 4153, 2765, 346, 8987, 272, 8203, 330, 2410, 263, 273, 330, 266, 272, 8203, 273, 348, 295, 17624, 815, 1422, 842, 3709, 271, 8703, 272, 4153, 2765, 3189, 8421, 263, 272, 21147, 317, 273, 9385, 8421, 3287, 20972, 272, 21147, 317, 273, 4153, 267, 11459, 2330, 1630, 2812, 1524, 547, 6695, 842, 3709, 271, 23685, 7032, 270, 275, 348, 910, 273, 315, 8421, 7268, 6523, 24592, 264, 1422, 8421, 7268, 11927, 24592, 9385, 267, 323, 24592, 2330, 799, 568, 2241, 547, 10994, 998, 1134, 8153, 22263, 3126, 269, 898, 11224, 454, 2330, 10559, 2765, 3189, 7032, 317, 274, 2410, 5038, 18511, 298, 315, 8421, 263, 273, 9984, 315, 2765, 3189, 7032, 2410, 1626, 4153, 8421, 317, 273, 263, 273, 11924, 273, 315, 12101, 3667, 346, 3412, 4153, 12101, 3667, 346, 30537, 20731, 274, 13375, 7268, 2765, 346, 272, 266, 328, 2410, 273, 4153, 2431, 9385, 13627, 910, 271, 269, 5881, 274, 4649, 274, 4817, 277, 278, 2764, 276, 3953, 1704, 269, 2330, 0, 1012, 9046, 281, 12338, 519, 1109, 560, 6506, 692, 265, 11795, 22187, 281, 14168, 692, 19370, 1384, 2791, 616, 2016, 715, 1109, 560, 6506, 267, 1141, 519, 3259, 540, 1142, 6529, 568, 513, 2318, 8870, 269, 589, 2759, 5106, 568, 5340, 593, 519, 16853, 971, 602, 782, 540, 873, 616, 4389, 676, 519, 3259, 540, 519, 10545, 6529, 780, 22428, 649, 723, 3670, 16853, 540, 519, 1739, 13080, 1384, 276, 476, 275, 476, 275, 476, 273, 476, 273, 476, 279, 7531, 10190, 267, 538, 835, 2759, 5106, 649, 1118, 513, 2759, 540, 3259, 476, 273, 689, 1142, 540, 519, 3670, 16853, 269, 1280, 519, 1985, 2759, 5106, 2185, 16853, 616, 2451, 630, 1993, 1875, 25179, 3259, 1070, 4171, 13080, 616, 519, 1739, 1384, 274, 476, 273, 476, 273, 476, 277, 7531, 763, 1657, 1900, 568, 7368, 2394, 1100, 16853, 616, 2451, 780, 11693, 519, 3259, 540, 715, 1109, 560, 6506, 267, 1820, 519, 1297, 540, 16853, 602, 616, 2451, 1354, 1142, 7766, 2759, 4238, 780, 9616, 281, 1280, 1142, 2759, 5106, 267, 596, 723, 547, 973, 531, 322, 10663, 519, 3259, 540, 10545, 16853, 630, 1410, 6984, 4642, 27480, 16853, 6393, 19152, 14474, 454, 763, 1101, 1899, 3568, 513, 2582, 8870, 715, 563, 763, 1985, 1899, 3568, 9981, 281, 513, 271, 267, 513, 272, 267, 2507, 320, 301, 268, 272, 9674, 676, 2230, 267, 1141, 4564, 519, 3259, 476, 603, 540, 519, 6529, 780, 20479, 14474, 454, 2690, 1142, 5106, 267, 1820, 519, 1297, 540, 16853, 602, 616, 2759, 267, 593, 5094, 3515, 780, 3519, 14259, 6493, 692, 272, 10922, 715, 10922, 476, 1911, 271, 454, 272, 10922, 513, 328, 10922, 476, 1911, 271, 692, 25456, 18452, 476, 271, 692, 277, 454, 276, 476, 275, 476, 275, 476, 273, 476, 273, 476, 279, 7531, 25456, 19243, 476, 271, 692, 277, 454, 275, 454, 273, 454, 272, 7531, 25456, 18452, 476, 272, 692, 279, 454, 272, 476, 273, 476, 274, 476, 275, 476, 274, 476, 274, 476, 273, 476, 272, 7531, 25456, 19243, 476, 272, 692, 279, 454, 277, 454, 275, 454, 272, 7531, 15008, 692, 25456, 8865, 476, 271, 23241, 560, 6506, 27480, 1038, 3259, 6361, 24408, 567, 16853, 24408, 454, 276, 476, 275, 476, 275, 476, 273, 476, 273, 476, 279, 17264, 476, 273, 25639, 476, 277, 454, 274, 476, 273, 476, 273, 9041, 9041, 476, 277, 17264, 476, 273, 25639, 476, 275, 454, 272, 9041, 9041, 9041, 9041, 476, 275, 17264, 476, 272, 25639, 476, 273, 454, 318, 9041, 9041, 9041, 9041, 476, 274, 17264, 476, 274, 25639, 476, 272, 454, 318, 9041, 9041, 9041, 9041, 9041, 19930, 667, 24535, 2018, 667, 24535, 7531, 25456, 8865, 476, 272, 692, 560, 6506, 27480, 1363, 3259, 6361, 24408, 567, 16853, 24408, 454, 272, 476, 273, 476, 274, 476, 275, 476, 274, 476, 274, 476, 273, 476, 272, 1363, 476, 272, 25639, 476, 279, 454, 318, 476, 272, 476, 273, 476, 274, 476, 273, 476, 273, 476, 272, 9041, 1363, 476, 272, 25639, 476, 277, 454, 318, 9041, 476, 272, 476, 273, 476, 272, 476, 272, 9041, 9041, 1363, 476, 272, 25639, 476, 275, 454, 318, 9041, 9041, 476, 272, 9041, 9041, 9041, 9041, 1363, 476, 272, 25639, 476, 272, 454, 318, 9041, 9041, 9041, 9041, 9041, 9041, 9041, 11434, 667, 24535, 2018, 667, 24535, 7531, 1012, 9046, 281, 26321, 853, 2931, 692, 265, 11795, 22187, 281, 14168, 692, 19370, 1384, 2791, 723, 1614, 588, 2931, 540, 26561, 1141, 1142, 12718, 814, 519, 1482, 8006, 267, 855, 789, 949, 4268, 538, 4463, 269, 1411, 666, 1689, 519, 4463, 540, 513, 10518, 676, 9427, 543, 1167, 8973, 922, 1283, 2865, 12718, 1022, 1297, 540, 2053, 780, 8340, 519, 5021, 2009, 4463, 540, 519, 588, 2931, 971, 602, 782, 540, 519, 588, 2931, 616, 4010, 519, 1482, 4463, 269, 901, 1797, 596, 1590, 4894, 4642, 610, 811, 26561, 689, 519, 1283, 540, 4642, 610, 811, 540, 519, 1614, 588, 2931, 2394, 789, 2461, 782, 519, 1482, 4463, 267, 1287, 1820, 519, 4463, 269, 634, 5110, 1023, 1590, 581, 5340, 538, 971, 513, 1259, 607, 547, 11694, 519, 4463, 780, 9616, 281, 1323, 8900, 10518, 568, 1869, 513, 10518, 780, 19152, 14474, 692, 763, 1101, 1899, 3568, 1614, 2230, 5498, 1706, 730, 9981, 267, 562, 272, 267, 562, 273, 267, 543, 562, 274, 267, 10503, 519, 9757, 1297, 540, 26561, 538, 588, 2931, 476, 272, 267, 476, 273, 267, 543, 476, 274, 269, 634, 7766, 3515, 4766, 519, 9757, 15627, 540, 1142, 12718, 538, 513, 10518, 689, 1283, 547, 5377, 1384, 1892, 634, 2034, 1899, 3568, 562, 272, 1109, 2230, 5498, 1706, 730, 9981, 10503, 519, 12718, 15627, 538, 10518, 476, 272, 563, 1892, 634, 3791, 1899, 3568, 562, 273, 1109, 11898, 5498, 1706, 730, 9981, 10503, 519, 12718, 15627, 538, 10518, 476, 273, 563, 1892, 634, 8772, 1899, 3568, 562, 274, 1109, 11898, 5498, 1706, 730, 9981, 10503, 519, 12718, 15627, 538, 10518, 476, 274, 780, 3519, 14259, 6493, 692, 271, 27045, 562, 272, 19885, 273, 19885, 274, 10922, 476, 1015, 317, 276, 454, 271, 2999, 4463, 540, 1022, 12718, 10922, 1911, 692, 20479, 14474, 692, 19530, 513, 2582, 8870, 3954, 7627, 519, 5021, 4463, 693, 799, 782, 588, 2931, 786, 581, 540, 3160, 4463, 780, 25456, 18452, 692, 276, 476, 274, 476, 275, 454, 274, 476, 273, 476, 272, 476, 272, 476, 272, 454, 275, 476, 274, 476, 273, 454, 272, 476, 272, 476, 275, 476, 272, 7531, 25456, 19243, 692, 276, 7531, 15008, 692, 22873, 6053, 267, 519, 588, 2931, 1413, 899, 713, 1384, 25332, 2925, 602, 519, 1614, 588, 2931, 616, 711, 782, 519, 1482, 4463, 269, 1677, 1118, 782, 588, 2931, 540, 3160, 4463, 267, 649, 4894, 519, 1101, 12718, 689, 588, 2931, 476, 272, 1109, 543, 476, 273, 1109, 267, 543, 1287, 4894, 519, 1283, 1079, 26561, 689, 10518, 476, 274, 1109, 263, 3333, 1144, 2630, 6393, 2026, 513, 1267, 267, 519, 588, 2931, 10929, 519, 1739, 1689, 538, 4463, 1384, 272, 269, 476, 279, 268, 274, 815, 476, 276, 454, 273, 269, 476, 280, 1107, 476, 275, 815, 476, 276, 454, 274, 269, 476, 278, 268, 272, 268, 272, 815, 276, 692, 5472, 1614, 588, 2931, 1631, 723, 4463, 815, 476, 276, 1109, 269, 4935, 267, 649, 1820, 476, 276, 1109, 607, 938, 2626, 780, 1692, 547, 4194, 1384, 11039, 267, 596, 1175, 991, 547, 1402, 519, 5207, 10518, 2394, 782, 588, 2931, 723, 3160, 15627, 780, 25363, 7695, 281, 5124, 476, 273, 692, 265, 19370, 689, 27725, 518, 17213, 692, 322, 454, 4467, 2821, 1007, 2022, 454, 329, 454, 9202, 2022, 270, 9202, 6085, 454, 330, 454, 28095, 2022, 270, 28095, 6085, 454, 337, 0, 258, 16474, 757, 15185, 682, 951, 692, 1911, 1109, 14999, 271, 1109, 14999, 19733, 692, 13775, 593, 5147, 476, 279, 267, 476, 1001, 274, 692, 12041, 281, 737, 8705, 928, 692, 13126, 281, 15942, 327, 732, 14492, 692, 1012, 13517, 692, 20175, 11592, 547, 4001, 8090, 267, 15185, 1299, 682, 951, 692, 300, 558, 757, 267, 2274, 951, 1299, 21676, 1255, 918, 654, 2752, 20911, 692, 306, 21283, 4041, 10396, 14877, 590, 21283, 4041, 10396, 14877, 590, 21283, 4041, 10396, 14877, 1280, 674, 26097, 6881, 4945, 28313, 23645, 3163, 290, 12522, 16474, 757, 543, 682, 951, 19569, 361, 9502, 19569, 361, 20232, 540, 8090, 19569, 361, 21676, 1255, 19569, 361, 6726, 725, 19569, 361, 26643, 19569, 361, 20996, 5413, 692, 306, 21283, 4041, 10396, 14877, 590, 21283, 4041, 10396, 14877, 590, 21283, 4041, 10396, 14877, 1280, 674, 26097, 6881, 4945, 28313, 23645, 3163, 290, 12522, 28850, 540, 10414, 19569, 361, 634, 4090, 540, 513, 3196, 827, 513, 1448, 568, 519, 11550, 291, 308, 6311, 540, 519, 9588, 540, 519, 3196, 543, 519, 13902, 3845, 689, 519, 1448, 547, 519, 1899, 540, 519, 3196, 269, 631, 6865, 7728, 815, 11123, 4753, 2473, 667, 8780, 23814, 815, 476, 276, 1535, 476, 271, 269, 1839, 815, 476, 272, 269, 1839, 715, 6230, 476, 276, 715, 1839, 4699, 692, 306, 21283, 4041, 10396, 14877, 590, 21283, 4041, 10396, 14877, 590, 21283, 4041, 10396, 14877, 1280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 299, 264, 32126, 748, 32163, 725, 454, 1432, 568, 519, 10171, 602, 519, 11832, 1131, 581, 13676, 607, 513, 1267, 540, 1373, 6534, 547, 13818, 3871, 1247, 7900, 713, 2816, 286, 32126, 748, 32163, 725, 5473, 2693, 11912, 267, 17486, 267, 588, 902, 267, 610, 5634, 17236, 454, 278, 630, 305, 264, 26930, 585, 27159, 543, 11778, 454, 1692, 3743, 568, 519, 11832, 585, 960, 4093, 543, 2164, 540, 824, 4600, 888, 278, 630, 299, 264, 15302, 610, 32035, 454, 1432, 568, 519, 10171, 602, 519, 11832, 1131, 581, 13676, 607, 513, 1267, 540, 1373, 6534, 547, 3676, 270, 17126, 687, 1247, 7900, 713, 2816, 286, 15302, 270, 1103, 2739, 687, 630, 324, 3052, 1421, 3461, 1416, 267, 930, 8047, 960, 267, 19455, 1852, 267, 3092, 8094, 277, 630, 293, 264, 20958, 2060, 1133, 17862, 610, 4911, 787, 4658, 454, 1692, 4749, 1281, 519, 11832, 723, 547, 4308, 609, 18473, 267, 14220, 267, 610, 1167, 712, 974, 748, 2043, 607, 851, 540, 519, 2816, 4170, 888, 277, 630, 293, 264, 2552, 3133, 1218, 454, 1692, 1419, 1282, 513, 8912, 960, 1974, 568, 519, 11832, 6534, 547, 519, 1739, 2175, 281, 2552, 3133, 1218, 630, 335, 3326, 583, 1218, 267, 9362, 267, 7452, 267, 30851, 267, 3092, 4700, 888, 277, 630, 293, 264, 15020, 12182, 454, 1692, 1419, 1282, 513, 8912, 960, 1974, 568, 519, 11832, 6534, 547, 519, 1739, 2175, 281, 15020, 3905, 630, 629, 913, 476, 3445, 674, 264, 610, 1360, 4411, 630, 8974, 476, 3953, 674, 264, 5210, 888, 277, 630, 293, 264, 15302, 610, 32035, 454, 1692, 1419, 1281, 713, 2816, 2154, 519, 11832, 547, 581, 6534, 547, 3676, 270, 26529, 286, 15302, 270, 1103, 2739, 687, 630, 324, 3052, 1421, 3461, 1416, 267, 930, 8047, 960, 267, 19455, 1852, 267, 3092, 8094, 277, 630, 293, 264, 16319, 610, 30433, 20946, 3657, 5940, 24219, 454, 1692, 1419, 1282, 513, 8912, 960, 1974, 568, 519, 11832, 6534, 547, 519, 1739, 2175, 281, 16319, 543, 6846, 2157, 602, 616, 16297, 532, 543, 13943, 888, 277, 630, 293, 264, 18227, 610, 3204, 8724, 18696, 454, 1692, 1454, 942, 538, 513, 8912, 960, 1974, 1281, 519, 11832, 6108, 281, 18227, 610, 1036, 8724, 3666, 888, 276, 630, 291, 264, 32126, 748, 32163, 725, 454, 2252, 5945, 267, 1813, 547, 4598, 547, 13818, 3871, 267, 941, 547, 2049, 1247, 7900, 713, 2816, 267, 875, 3978, 1131, 581, 519, 2693, 6364, 286, 32126, 748, 32163, 725, 5473, 2693, 11912, 267, 17486, 267, 588, 902, 267, 610, 5634, 17236, 454, 276, 630, 291, 264, 15302, 610, 32035, 454, 2252, 5945, 267, 1813, 547, 4598, 547, 3676, 270, 26529, 267, 941, 547, 2049, 1247, 7900, 713, 2816, 267, 875, 3978, 1131, 581, 519, 2693, 6364, 286, 15302, 270, 1103, 2739, 687, 630, 324, 3052, 1421, 3461, 1416, 267, 930, 8047, 960, 267, 19455, 1852, 267, 3092, 8094, 276, 630, 296, 264, 8111, 341, 1047, 267, 3213, 778, 267, 21541, 11524, 454, 1692, 1271, 616, 4205, 8506, 519, 11832, 547, 281, 8111, 341, 1047, 267, 16455, 267, 5721, 267, 610, 1020, 824, 5520, 888, 19950, 2609, 616, 19486, 676, 17163, 1719, 563, 20059, 580, 894, 23909, 4749, 4125, 2324, 609, 2093, 267, 543, 2154, 606, 3573, 2179, 540, 3206, 269, 1452, 23909, 666, 4125, 10478, 585, 5013, 543, 23115, 856, 2042, 15508, 563, 3519, 14846, 23909, 4749, 4125, 1739, 1305, 5773, 543, 13467, 269, 1452, 23909, 666, 1331, 2324, 609, 1239, 543, 3877, 811, 982, 609, 2093, 269, 15394, 972, 568, 513, 2312, 1899, 540, 6392, 547, 1246, 563, 18600, 2065, 23909, 4749, 4125, 960, 2238, 602, 1331, 4052, 267, 3946, 6823, 2042, 543, 3435, 269, 1358, 1419, 4308, 609, 2371, 267, 2831, 267, 543, 1483, 8996, 2326, 899, 3574, 267, 2645, 267, 543, 12227, 269, 3509, 540, 519, 23909, 2154, 2324, 3544, 267, 543, 798, 711, 4125, 513, 2603, 540, 1957, 1740, 610, 2324, 5702, 609, 1866, 563, 11767, 19828, 23909, 4749, 4125, 4358, 909, 543, 8876, 856, 3785, 269, 1452, 23909, 666, 4125, 3056, 1004, 543, 1818, 1082, 3664, 269, 6884, 789, 2154, 1981, 2921, 543, 1419, 4308, 609, 1870, 563, 9209, 2065, 23909, 4749, 4125, 2324, 609, 3029, 267, 6272, 543, 3270, 269, 1358, 1419, 2154, 1582, 22325, 543, 519, 960, 666, 581, 2944, 1510, 1739, 513, 2312, 1305, 540, 3652, 563, 12892, 23909, 4749, 4125, 2324, 609, 267, 14379, 609, 267, 543, 3450, 1004, 269, 1452, 23909, 1419, 4125, 4543, 610, 3246, 3028, 547, 1866, 563, 13480, 2418, 2609, 616, 19486, 676, 6708, 563, 5038, 19793, 22777, 5336, 6756, 6987, 550, 454, 30999, 1575, 725, 602, 14183, 713, 960, 1871, 616, 2164, 20218, 543, 1450, 5520, 547, 946, 741, 16999, 5759, 267, 4758, 873, 513, 4743, 540, 22920, 269, 4856, 22046, 532, 2115, 616, 31727, 13139, 1436, 543, 19793, 22777, 563, 6812, 11554, 17148, 5336, 6756, 6987, 550, 454, 30999, 1575, 725, 602, 14183, 713, 960, 1871, 2709, 2816, 3354, 543, 1434, 2324, 2175, 269, 4856, 22046, 532, 2115, 616, 11314, 267, 3281, 18730, 267, 14412, 267, 8232, 267, 7352, 1214, 543, 11554, 17148, 563, 6872, 8081, 5336, 6756, 6987, 550, 454, 30999, 1575, 725, 602, 14183, 713, 960, 1871, 2709, 11215, 2359, 602, 6763, 3297, 5520, 269, 4856, 22046, 532, 2115, 616, 7577, 24727, 267, 8111, 9679, 281, 5274, 9534, 543, 8111, 9679, 281, 14502, 563, 7871, 14412, 5336, 6756, 6987, 550, 454, 30999, 1575, 725, 602, 14183, 713, 960, 1871, 1450, 18271, 547, 960, 593, 741, 1378, 543, 1118, 3664, 269, 4856, 22046, 532, 2115, 616, 27065, 267, 26930, 543, 4201, 16860, 563, 5325, 17716, 5336, 6756, 6987, 550, 454, 30999, 1575, 725, 602, 14183, 713, 960, 1871, 1450, 5520, 547, 1683, 3028, 547, 1866, 543, 960, 609, 1071, 22086, 619, 538, 513, 7874, 1875, 16327, 564, 1438, 1604, 269, 4856, 22046, 532, 2115, 616, 3213, 22086, 619, 267, 26874, 18880, 543, 4317, 6796, 563, 5325, 23779, 5336, 6756, 6987, 550, 454, 30999, 1575, 725, 602, 14183, 713, 960, 1871, 2709, 13120, 267, 1761, 585, 5718, 267, 543, 616, 1419, 2808, 20380, 269, 4856, 22046, 532, 2115, 616, 21992, 618, 267, 16958, 267, 23779, 543, 4317, 21073, 563, 7761, 11554, 17148, 454, 13480, 619, 593, 713, 2816, 723, 1434, 2324, 2175, 454, 7761, 31727, 13139, 1436, 454, 13480, 619, 593, 713, 2816, 1118, 946, 540, 741, 1367, 5759, 454, 7597, 26874, 18880, 454, 13480, 619, 593, 713, 2816, 616, 2760, 2604, 323, 547, 798, 1919, 602, 979, 1996, 741, 2631, 540, 1318, 543, 4636, 454, 5780, 8111, 9679, 267, 5274, 9534, 454, 13480, 619, 593, 713, 2816, 723, 19217, 832, 945, 1394, 909, 741, 4600, 609, 2359, 454, 13480, 619, 593, 713, 2816, 723, 11931, 7694, 454, 13480, 619, 593, 713, 2816, 723, 3255, 585, 13120, 454, 13480, 619, 593, 713, 2816, 798, 741, 960, 4805, 454, 6795, 7577, 24727, 543, 13756, 454, 13480, 619, 593, 713, 2816, 616, 5701, 9425, 676, 519, 2754, 454, 13480, 619, 593, 713, 2816, 616, 11112, 782, 519, 942, 454, 13480, 619, 593, 713, 2816, 1544, 741, 960, 609, 2370, 15569, 454, 13480, 619, 593, 713, 2816, 1205, 513, 4743, 540, 22920, 454, 7871, 4317, 21073, 454, 13480, 619, 593, 713, 2816, 616, 6743, 909, 547, 676, 1866, 538, 741, 2754, 543, 741, 2146, 454, 13480, 619, 593, 713, 2816, 723, 1071, 22086, 619, 945, 616, 2653, 547, 1205, 2059, 609, 454, 13480, 619, 593, 713, 2816, 2119, 856, 741, 1378, 2093, 454, 13480, 619, 593, 713, 2816, 1118, 3664, 593, 741, 1378, 454, 13480, 619, 593, 713, 2816, 616, 6976, 1134, 538, 6476, 609, 824, 4600, 454, 13480, 619, 593, 713, 2816, 4309, 6284, 585, 519, 960, 789, 798, 454, 5325, 8111, 9679, 267, 14502, 454, 13480, 619, 593, 713, 2816, 723, 19217, 832, 945, 5721, 741, 4600, 1134, 454, 13480, 619, 593, 713, 2816, 723, 1945, 1114, 547, 798, 1169, 1554, 454, 13480, 619, 593, 713, 2816, 2285, 8846, 543, 5528, 547, 1866, 454, 2420, 4317, 6796, 454, 13480, 619, 593, 713, 2816, 723, 960, 1141, 789, 798, 1919, 585, 824, 1004, 454, 25238, 5588, 11011, 630, 291, 5315, 540, 27706, 25315, 956, 2567, 1475, 454, 22903, 14341, 18089, 19556, 3353, 6509, 454, 24820, 8379, 9032, 630, 7343, 1370, 1182, 1222, 6176, 5004, 2567, 1475, 454, 18871, 2894, 3445, 630, 1960, 271, 17227, 20431, 725, 2567, 1475, 454, 18597, 3163, 3353, 5974, 267, 715, 9950, 5861, 563, 347, 5746, 303, 3445, 630, 12218, 2305, 540, 19019, 531, 15789, 2567, 1475, 454, 17734, 22145, 11930, 9119, 267, 4937, 454, 347, 32271, 292, 11152, 630, 10817, 728, 585, 27706, 16709, 2567, 1475, 454, 8099, 9083, 9119, 543, 10803, 281, 4578, 5811, 454, 23277, 8016, 9032, 630, 300, 26090, 27706, 32011, 2567, 1475, 454, 347, 302, 2464, 7176, 630, 30999, 1575, 1049, 25477, 10803, 2567, 1475, 454, 26562, 2537, 19556, 3353, 5974, 454, 347, 8008, 300, 9032, 630, 19423, 823, 540, 12287, 6773, 5004, 20431, 725, 2567, 1475, 454, 13923, 272, 9119, 3353, 6509, 454, 14689, 280, 9119, 543, 10803, 9906, 3004, 710, 324, 454, 14689, 279, 9119, 543, 10803, 6828, 454, 16085, 8016, 7176, 630, 24092, 27706, 19032, 2567, 1475, 454, 1428, 268, 22145, 272, 19556, 3353, 5974, 0, 1607, 1808, 9768, 7160, 568, 4867, 711, 2139, 24707, 782, 12215, 540, 713, 9768, 7160, 912, 1607, 2502, 1433, 267, 2854, 609, 519, 948, 540, 3573, 14172, 543, 3056, 5640, 267, 12857, 6267, 547, 8938, 21144, 1114, 28466, 543, 19776, 543, 24716, 741, 6436, 593, 875, 649, 1020, 607, 2043, 269, 22716, 1944, 519, 6436, 602, 1246, 543, 1628, 2390, 519, 11095, 2245, 3964, 676, 681, 28907, 879, 267, 713, 1257, 849, 6227, 6436, 538, 519, 2825, 270, 14048, 2245, 269, 1280, 2043, 5461, 538, 519, 6530, 540, 1126, 1646, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 5804, 28676, 543, 681, 28907, 879, 547, 13100, 27600, 543, 17020, 3120, 267, 5640, 723, 4359, 938, 1620, 540, 5626, 1646, 269, 769, 713, 18512, 543, 28505, 1433, 267, 595, 1778, 12857, 519, 2035, 540, 513, 1297, 540, 14222, 28466, 267, 4758, 2027, 3007, 547, 519, 4052, 3156, 540, 741, 2219, 20136, 25004, 9990, 2934, 1007, 5717, 540, 912, 19365, 595, 1778, 568, 7548, 540, 6530, 693, 519, 4975, 5441, 540, 1715, 3840, 543, 568, 519, 9375, 540, 519, 4760, 267, 7402, 3300, 281, 4065, 585, 12791, 543, 4317, 10456, 269, 1261, 543, 1010, 7385, 31130, 674, 269, 595, 1778, 267, 513, 12963, 1014, 267, 723, 1614, 6738, 1453, 563, 257, 10666, 713, 2140, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 9349, 13517, 623, 1370, 823, 8065, 267, 476, 1220, 276, 269, 16448, 281, 1715, 269, 1433, 269, 590, 11839, 22802, 1948, 631, 25320, 7277, 4200, 272, 274, 454, 9349, 13517, 623, 1370, 823, 8065, 267, 476, 1220, 276, 269, 28980, 269, 16448, 281, 1715, 269, 476, 276, 269, 590, 4721, 609, 31524, 7089, 256, 29206, 2793, 3582, 3201, 20796, 17162, 310, 22432, 1744, 6235, 2139, 269, 16179, 609, 6015, 267, 5140, 6075, 3028, 256, 269, 590, 11839, 22802, 1948, 476, 25320, 7277, 4200, 272, 274, 333, 0, 268, 513, 521, 18150, 585, 2021, 593, 799, 519, 31115, 18795, 267, 6849, 4464, 267, 2356, 609, 1312, 3952, 593, 519, 2451, 2427, 540, 519, 7504, 563, 268, 27206, 593, 513, 5011, 18150, 281, 634, 8004, 32170, 5011, 18150, 563, 27670, 540, 5011, 18150, 454, 14300, 689, 519, 5680, 585, 5011, 18150, 454, 23208, 6201, 540, 5011, 18150, 454, 296, 1810, 1405, 1589, 594, 9364, 2161, 4376, 827, 9789, 5011, 18150, 547, 7323, 700, 677, 517, 1765, 344, 564, 12991, 749, 267, 540, 1744, 11448, 24759, 454, 2791, 1616, 513, 7504, 543, 5011, 18150, 547, 4163, 1055, 930, 8004, 547, 5991, 697, 7868, 31947, 8092, 454, 310, 269, 670, 269, 23747, 454, 3719, 602, 972, 13035, 20584, 3323, 1055, 5011, 18150, 267, 899, 513, 5692, 518, 10611, 3578, 12197, 532, 769, 519, 590, 18150, 454, 8334, 645, 269, 2506, 3205, 454, 2005, 781, 606, 30891, 1312, 547, 7504, 543, 4807, 547, 11878, 538, 513, 5011, 18150, 8160, 3019, 6363, 864, 543, 4033, 12267, 454, 19285, 7948, 1405, 1205, 519, 5011, 18150, 2437, 646, 6045, 23294, 13443, 11482, 2158, 727, 8092, 454, 289, 269, 631, 269, 645, 1077, 0, 19136, 13863, 3354, 1966, 281, 1548, 596, 991, 547, 917, 454, 4504, 601, 3081, 602, 1034, 540, 519, 21932, 4881, 519, 1158, 779, 5904, 543, 16389, 723, 513, 4183, 602, 2306, 873, 11630, 547, 4323, 269, 3371, 779, 3388, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 1038, 585, 795, 538, 2039, 12759, 263, 1467, 320, 273, 15892, 3546, 952, 1899, 320, 273, 14728, 316, 2652, 476, 271, 610, 1899, 320, 273, 14728, 316, 2652, 476, 271, 610, 1899, 320, 273, 14728, 316, 2652, 476, 271, 912, 13376, 9184, 2401, 334, 273, 20572, 6012, 344, 316, 815, 703, 263, 1467, 320, 273, 14728, 7481, 13376, 586, 815, 586, 266, 272, 454, 3546, 952, 586, 2652, 1003, 912, 13376, 1535, 815, 1535, 266, 272, 454, 13376, 586, 815, 476, 271, 454, 3546, 952, 1535, 2652, 1003, 912, 13376, 2736, 454, 4449, 13872, 1038, 9184, 2401, 334, 274, 815, 1496, 14277, 834, 585, 1535, 538, 2039, 16325, 13580, 585, 586, 538, 2039, 16325, 22708, 1038, 1899, 320, 274, 815, 1592, 263, 1467, 553, 314, 273, 7481, 1038, 586, 815, 476, 271, 454, 1038, 1535, 815, 476, 271, 454, 1038, 585, 795, 538, 2039, 12759, 263, 1467, 320, 274, 15892, 3546, 952, 630, 1467, 320, 274, 14728, 316, 2652, 834, 349, 257, 610, 1899, 320, 274, 14728, 316, 2652, 834, 10590, 610, 1899, 320, 274, 14728, 316, 2652, 834, 343, 257, 610, 1899, 320, 274, 14728, 316, 2652, 834, 289, 8442, 663, 1899, 320, 272, 14728, 266, 272, 316, 2652, 834, 834, 10778, 13376, 9184, 2401, 334, 274, 20572, 6012, 344, 316, 815, 1899, 320, 274, 14728, 316, 1341, 1899, 320, 274, 14728, 266, 272, 2639, 13376, 586, 815, 586, 266, 272, 454, 3546, 952, 586, 2652, 1003, 912, 13376, 1535, 815, 1535, 266, 272, 454, 13376, 586, 815, 476, 271, 454, 3546, 952, 1535, 2652, 1003, 912, 13376, 2736, 454, 4449, 11434, 454, 1038, 1319, 10961, 309, 16695, 815, 9184, 2401, 334, 272, 454, 1038, 1319, 10961, 302, 322, 738, 320, 815, 9184, 2401, 334, 273, 454, 1038, 1319, 10961, 297, 1872, 11456, 815, 9184, 2401, 334, 274, 454, 1038, 535, 25379, 4590, 1038, 1820, 2891, 265, 8512, 5866, 5589, 10967, 3385, 265, 15419, 1038, 1820, 2891, 307, 629, 2401, 334, 1642, 3921, 523, 11456, 281, 5602, 1038, 585, 1535, 538, 2039, 630, 271, 267, 11133, 2187, 2018, 585, 795, 538, 2039, 263, 271, 267, 11133, 2187, 3546, 1820, 263, 3901, 10961, 309, 16695, 20572, 6012, 329, 3910, 1439, 815, 834, 5602, 3546, 952, 1319, 10961, 309, 16695, 20572, 6012, 329, 316, 2652, 476, 834, 10590, 912, 7386, 733, 11456, 309, 1112, 528, 5362, 815, 733, 11456, 309, 1112, 528, 5362, 1341, 476, 272, 454, 2018, 1820, 4590, 1038, 1820, 2891, 307, 629, 2401, 334, 1642, 795, 1872, 11456, 281, 5602, 1038, 585, 1535, 538, 2039, 630, 271, 267, 11133, 2187, 2018, 585, 795, 538, 2039, 263, 271, 267, 11133, 2187, 3546, 1820, 263, 3901, 10961, 297, 1872, 11456, 20572, 6012, 329, 3910, 1439, 815, 834, 5602, 3546, 952, 1319, 10961, 297, 1872, 11456, 20572, 6012, 329, 316, 2652, 834, 10590, 912, 7386, 733, 11456, 300, 340, 1068, 525, 815, 733, 11456, 300, 340, 1068, 525, 1341, 476, 272, 454, 2018, 1820, 4590, 13872, 1038, 795, 1872, 11456, 4263, 20403, 10797, 3698, 538, 2772, 714, 541, 10031, 1038, 2518, 1003, 454, 1038, 2518, 1319, 10961, 302, 322, 738, 320, 454, 1038, 2518, 1319, 10961, 309, 16695, 454, 1038, 2518, 1319, 10961, 297, 1872, 11456, 454, 1038, 1003, 815, 476, 276, 454, 1038, 1319, 10961, 302, 322, 738, 320, 815, 20886, 271, 585, 1535, 538, 2039, 16325, 13580, 585, 586, 538, 2039, 16325, 22708, 1038, 1319, 10961, 309, 16695, 815, 1496, 14277, 476, 834, 585, 1535, 538, 2039, 16325, 13580, 585, 586, 538, 2039, 16325, 22708, 1038, 1319, 10961, 297, 1872, 11456, 815, 1496, 14277, 476, 834, 585, 1535, 538, 2039, 16325, 13580, 585, 586, 538, 2039, 16325, 22708, 13872, 13872, 258, 25284, 320, 912, 514, 2772, 714, 541, 4590, 5443, 340, 10797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1384, 8199, 314, 272, 267, 476, 276, 267, 476, 272, 267, 476, 276, 267, 476, 272, 267, 476, 276, 267, 476, 272, 2639, 7884, 1103, 713, 2013, 267, 519, 5311, 3124, 919, 1063, 476, 272, 543, 476, 276, 267, 2870, 513, 4783, 540, 3259, 476, 273, 780, 1012, 28038, 28342, 334, 268, 24576, 692, 763, 1523, 540, 2878, 335, 12065, 334, 19195, 1262, 2337, 721, 4766, 891, 9979, 269, 634, 29660, 19195, 540, 513, 1297, 568, 513, 6292, 540, 2338, 2387, 314, 330, 267, 533, 316, 12452, 1141, 2387, 330, 319, 568, 519, 3259, 540, 519, 4783, 267, 543, 2387, 335, 319, 568, 519, 2990, 540, 519, 1101, 1297, 538, 519, 4783, 780, 2690, 1383, 267, 585, 519, 1297, 476, 274, 267, 519, 29660, 19195, 568, 2387, 314, 274, 267, 476, 272, 316, 18269, 901, 1797, 602, 519, 4783, 814, 513, 3259, 540, 476, 274, 630, 314, 274, 267, 476, 280, 267, 476, 274, 8079, 543, 6238, 693, 2990, 476, 272, 780, 2690, 519, 1297, 476, 275, 267, 519, 29660, 19195, 568, 2387, 314, 273, 267, 476, 272, 316, 18269, 901, 1797, 602, 519, 4783, 814, 513, 3259, 540, 476, 273, 630, 314, 275, 267, 476, 275, 8079, 543, 6238, 693, 2990, 476, 272, 780, 2690, 519, 1297, 476, 276, 267, 519, 29660, 19195, 568, 2387, 314, 273, 267, 476, 271, 316, 18269, 901, 1797, 602, 519, 4783, 814, 513, 3259, 540, 476, 273, 630, 314, 272, 267, 476, 276, 8079, 543, 6238, 693, 2990, 476, 271, 780, 763, 29660, 19195, 568, 7229, 1210, 519, 1739, 5690, 1384, 272, 269, 3399, 609, 513, 1305, 2387, 1345, 7272, 10183, 319, 5627, 1152, 519, 6292, 25464, 272, 267, 476, 271, 264, 18269, 901, 4564, 519, 1990, 518, 1054, 1379, 540, 519, 1297, 267, 799, 568, 2141, 476, 272, 563, 273, 269, 5590, 2387, 330, 319, 547, 476, 272, 543, 2387, 1345, 7272, 1077, 17624, 319, 547, 519, 1297, 3294, 563, 274, 269, 2755, 2387, 1345, 7272, 1077, 17624, 319, 568, 711, 538, 2387, 1345, 7272, 10183, 319, 912, 567, 910, 5410, 2387, 1345, 7272, 1077, 17624, 319, 547, 2387, 1345, 7272, 10183, 319, 609, 519, 1871, 2387, 330, 319, 563, 567, 910, 9214, 618, 2387, 330, 319, 676, 476, 272, 563, 567, 910, 5590, 2387, 1345, 7272, 1077, 17624, 319, 547, 2387, 1345, 7272, 1077, 17624, 319, 16611, 676, 519, 1297, 563, 275, 269, 17776, 2387, 314, 330, 267, 1582, 7272, 10183, 314, 1345, 7272, 1077, 17624, 14963, 27471, 1607, 5690, 9247, 12750, 625, 519, 1297, 676, 3294, 14578, 267, 5329, 3950, 540, 519, 2164, 543, 741, 7158, 269, 1879, 621, 9060, 513, 1267, 602, 621, 814, 2938, 1354, 267, 621, 6487, 621, 814, 1336, 513, 4783, 267, 543, 621, 7024, 519, 3259, 543, 4358, 2990, 540, 519, 4783, 780, 3086, 602, 649, 1174, 519, 1523, 540, 29660, 19195, 267, 1577, 781, 4019, 621, 547, 930, 1483, 8996, 2042, 269, 1280, 1383, 267, 649, 666, 946, 29660, 19195, 547, 4194, 13410, 267, 1711, 3270, 267, 543, 1256, 17278, 6835, 256, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 275, 267, 476, 273, 6540, 3546, 27041, 281, 1535, 815, 631, 263, 274, 994, 3546, 27041, 281, 1496, 1535, 317, 328, 585, 1775, 538, 2039, 263, 278, 264, 23378, 3546, 1496, 272, 267, 476, 274, 267, 476, 280, 267, 476, 274, 267, 476, 280, 267, 476, 274, 267, 476, 280, 2639, 3546, 27041, 281, 1535, 4877, 12065, 334, 318, 4650, 4590, 3546, 1496, 274, 267, 476, 272, 6540, 3546, 27041, 281, 1535, 815, 631, 263, 275, 994, 3546, 27041, 281, 1496, 1535, 317, 328, 585, 1775, 538, 2039, 263, 278, 264, 23378, 3546, 1496, 272, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 2639, 3546, 27041, 281, 1535, 4877, 12065, 334, 318, 4650, 4590, 3546, 1496, 273, 267, 476, 272, 6540, 3546, 27041, 281, 1535, 815, 631, 263, 276, 994, 3546, 27041, 281, 1496, 1535, 317, 328, 585, 1775, 538, 2039, 263, 278, 264, 23378, 3546, 1496, 272, 267, 476, 276, 267, 476, 272, 267, 476, 276, 267, 476, 272, 267, 476, 276, 267, 476, 272, 2639, 3546, 27041, 281, 1535, 4877, 12065, 334, 318, 4650, 4590, 3546, 1496, 273, 267, 476, 271, 6540, 2018, 570, 7495, 302, 281, 811, 3617, 2012, 286, 1294, 267, 585, 1383, 267, 14639, 7232, 878, 18237, 781, 454, 2018, 11000, 4967, 593, 5033, 580, 12952, 563, 2018, 8173, 2018, 1582, 7272, 10183, 815, 2715, 1345, 4877, 1861, 14061, 821, 263, 2567, 476, 271, 8679, 2018, 737, 815, 476, 272, 454, 2018, 1582, 7272, 1077, 17624, 815, 1582, 454, 2018, 1247, 711, 1582, 7272, 1077, 17624, 538, 1582, 7272, 10183, 912, 3546, 1582, 7272, 10183, 314, 1345, 7272, 1077, 17624, 316, 815, 737, 454, 3546, 737, 6834, 476, 272, 454, 3546, 1582, 7272, 1077, 17624, 815, 1582, 7272, 1077, 17624, 2608, 1582, 454, 2018, 2132, 1496, 330, 267, 1582, 7272, 10183, 314, 1345, 7272, 1077, 17624, 27663, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 2476, 1572, 519, 2136, 2276, 267, 972, 729, 513, 2027, 1895, 540, 1004, 1634, 607, 7642, 269, 3807, 899, 875, 596, 723, 707, 1378, 1920, 543, 5389, 267, 865, 798, 789, 256, 1656, 835, 540, 519, 1919, 602, 7642, 2648, 547, 1451, 827, 568, 741, 1378, 1686, 543, 2528, 1107, 713, 568, 1018, 649, 1289, 968, 297, 19085, 545, 5525, 14325, 2690, 513, 1279, 267, 1279, 942, 267, 1152, 6738, 5346, 2367, 6594, 891, 5396, 269, 1809, 666, 596, 3494, 621, 286, 769, 519, 2063, 7008, 540, 5481, 267, 1945, 5863, 5949, 910, 811, 543, 811, 2021, 3323, 4742, 4966, 1932, 256, 901, 1689, 3459, 538, 519, 476, 2735, 271, 338, 267, 799, 1522, 3280, 899, 513, 2731, 1279, 942, 3516, 267, 855, 1175, 1589, 827, 782, 519, 1007, 1919, 602, 723, 5949, 2094, 1287, 269, 1280, 1383, 267, 950, 707, 22594, 941, 1762, 267, 1705, 789, 723, 16389, 610, 14342, 286, 715, 2100, 256, 1924, 1256, 1498, 476, 2412, 1296, 949, 3100, 899, 11014, 267, 621, 781, 711, 602, 1454, 950, 6158, 827, 2462, 2242, 899, 713, 780, 4322, 6909, 2021, 4547, 4195, 2093, 543, 5380, 547, 4974, 7225, 320, 3821, 269, 2368, 6743, 5702, 693, 2413, 2053, 1247, 1866, 8268, 3504, 2984, 543, 2621, 269, 1358, 849, 4941, 547, 1118, 2386, 3025, 6785, 827, 519, 1909, 540, 6690, 543, 2021, 2429, 1686, 267, 1317, 3006, 1346, 2694, 1205, 16618, 610, 15763, 780, 3086, 12997, 267, 6266, 540, 891, 13085, 2021, 3180, 1271, 3450, 6009, 1141, 789, 2671, 741, 1702, 609, 1053, 269, 4635, 1018, 789, 4121, 689, 3168, 693, 6014, 1686, 543, 1272, 267, 789, 948, 4339, 1996, 15490, 1145, 1759, 593, 5198, 543, 2724, 1210, 1945, 1572, 2048, 325, 655, 24452, 10200, 2334, 2262, 1797, 18468, 602, 1312, 8695, 6730, 6690, 17330, 3160, 2924, 543, 3255, 269, 898, 781, 2186, 540, 899, 4687, 9162, 9425, 267, 3884, 1405, 621, 2496, 3383, 3314, 267, 2436, 596, 2811, 513, 7911, 610, 8004, 267, 1565, 827, 1114, 4529, 543, 12583, 2337, 721, 1174, 1142, 824, 1732, 269, 1411, 2760, 917, 4171, 9909, 596, 1522, 8300, 610, 1018, 2042, 596, 1223, 948, 4194, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 297, 19085, 545, 5525, 538, 519, 2136, 2276, 454, 20751, 519, 2250, 1906, 5481, 267, 7225, 24191, 5525, 267, 513, 2361, 602, 729, 12926, 13856, 676, 2367, 267, 814, 7930, 14754, 519, 11944, 540, 1082, 2021, 5640, 267, 513, 7678, 602, 814, 18965, 538, 519, 2250, 19939, 1296, 269, 4595, 519, 476, 2735, 271, 338, 267, 2021, 723, 1500, 1271, 7418, 547, 519, 4610, 540, 2413, 1686, 267, 519, 1514, 9443, 267, 543, 3332, 998, 513, 6014, 7828, 269, 4014, 1082, 4775, 5640, 538, 7225, 24191, 5525, 723, 5059, 593, 519, 2413, 1974, 267, 930, 27490, 20243, 519, 1353, 540, 8106, 6014, 5931, 543, 6566, 617, 1716, 1686, 543, 5189, 519, 1353, 540, 4008, 883, 14046, 1382, 593, 6014, 3584, 269, 3509, 540, 2221, 779, 4775, 5640, 723, 10924, 4081, 7158, 267, 16107, 741, 14046, 6791, 547, 8396, 4207, 7292, 543, 2804, 17536, 1182, 998, 513, 15594, 1935, 563, 2691, 519, 5948, 585, 6014, 5525, 630, 288, 297, 306, 264, 729, 3964, 538, 476, 3422, 280, 607, 519, 3318, 3919, 540, 5640, 538, 519, 15834, 2361, 540, 7225, 24191, 2090, 267, 972, 941, 1100, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 6014, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 7170, 281, 24531, 10572, 640, 538, 5675, 692, 5331, 596, 616, 2542, 1079, 1114, 2835, 269, 5637, 2835, 723, 4277, 3197, 543, 3078, 13602, 267, 855, 1945, 7959, 1055, 269, 4634, 1498, 789, 2811, 2189, 2984, 267, 621, 4667, 899, 519, 1482, 1268, 1223, 723, 2854, 873, 1312, 256, 2334, 781, 1317, 891, 2835, 3668, 834, 785, 1339, 640, 2437, 799, 1797, 1142, 4062, 540, 1603, 814, 922, 1378, 3982, 5639, 267, 1818, 621, 1796, 856, 689, 1866, 780, 4131, 781, 2263, 1018, 2306, 2576, 781, 1603, 5963, 741, 1378, 998, 7234, 2947, 1883, 2609, 1384, 272, 269, 22014, 1877, 281, 6056, 827, 707, 5172, 31768, 6288, 1107, 875, 1131, 596, 4766, 621, 286, 9320, 972, 781, 513, 9589, 4743, 950, 596, 4283, 267, 5873, 17409, 10876, 267, 9329, 1402, 25468, 3649, 1111, 532, 998, 519, 2011, 267, 543, 1294, 10477, 8279, 782, 1472, 269, 1452, 3877, 1711, 513, 1808, 7099, 610, 5790, 602, 5036, 713, 1747, 6306, 689, 824, 6753, 269, 6684, 267, 5830, 946, 1913, 267, 11673, 267, 543, 1893, 6163, 547, 1628, 513, 1978, 5790, 538, 741, 2984, 267, 4259, 873, 6306, 689, 4376, 3116, 596, 1522, 1224, 563, 273, 269, 22226, 281, 1879, 649, 2743, 1007, 1004, 267, 649, 1419, 5469, 1919, 899, 741, 2631, 540, 9644, 267, 11587, 267, 7279, 267, 610, 5876, 269, 19536, 849, 3142, 741, 14789, 883, 741, 1568, 269, 1280, 1383, 267, 952, 513, 5856, 14560, 5309, 338, 267, 789, 949, 6451, 1346, 883, 741, 9423, 269, 2107, 5310, 789, 8057, 909, 2282, 519, 5836, 282, 1287, 267, 1216, 11052, 1522, 4749, 2408, 538, 741, 4773, 563, 274, 269, 23539, 1184, 281, 1284, 782, 1589, 8335, 1759, 593, 938, 10080, 267, 2418, 267, 4978, 267, 543, 1272, 2833, 269, 6884, 4589, 2671, 741, 4555, 16175, 1369, 741, 1603, 267, 4758, 3988, 5813, 883, 1946, 789, 2070, 519, 1158, 538, 513, 1880, 1259, 269, 1635, 3257, 865, 267, 789, 1039, 3178, 547, 741, 2984, 543, 1921, 811, 7184, 609, 741, 5304, 563, 275, 269, 13910, 281, 5272, 2278, 814, 741, 2189, 1603, 5639, 1107, 930, 2328, 1360, 18005, 1210, 1950, 6863, 267, 1247, 1866, 4782, 2241, 5220, 543, 17187, 18565, 269, 2368, 4589, 7914, 1318, 883, 2962, 267, 6466, 1866, 1491, 942, 547, 1305, 519, 6429, 1354, 10962, 3197, 610, 2621, 269, 15531, 707, 10058, 1603, 2511, 2337, 3715, 707, 3961, 607, 606, 2278, 563, 276, 269, 5900, 3363, 2509, 4641, 281, 1215, 798, 596, 1413, 693, 1483, 3734, 3871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 11028, 18590, 15408, 563, 763, 1646, 7678, 540, 9682, 11028, 18590, 568, 9910, 4405, 1436, 267, 1970, 21057, 267, 543, 1164, 26024, 267, 602, 568, 267, 621, 11179, 10607, 519, 2702, 540, 593, 1532, 13635, 1344, 4393, 267, 1239, 13496, 267, 543, 1483, 6066, 1239, 6771, 267, 543, 15387, 513, 1434, 3818, 1606, 520, 22972, 13033, 4567, 267, 7175, 1507, 15408, 547, 1404, 538, 4108, 2238, 269, 8262, 3455, 1198, 563, 22102, 31420, 13639, 910, 18329, 26532, 18590, 1656, 24028, 11462, 454, 2026, 606, 1271, 2361, 540, 4108, 11028, 18590, 267, 5907, 11028, 18590, 15408, 723, 2141, 5129, 606, 1271, 1909, 269, 1358, 2445, 6786, 610, 2792, 6786, 689, 10546, 2244, 2861, 543, 4262, 2861, 2234, 1513, 267, 2347, 4987, 11018, 267, 3077, 17568, 267, 543, 1256, 22738, 4247, 971, 607, 5907, 30925, 269, 589, 3041, 4201, 11703, 26676, 22384, 3590, 666, 2697, 519, 3892, 540, 19742, 543, 4108, 8043, 998, 589, 3041, 2029, 563, 22102, 31420, 13639, 910, 13639, 18058, 1656, 32522, 454, 3383, 2484, 267, 782, 2101, 4108, 7060, 538, 519, 1158, 723, 741, 1378, 4108, 9682, 10618, 1949, 269, 634, 2136, 2276, 267, 6576, 267, 6628, 543, 824, 2477, 723, 9250, 1896, 5481, 540, 4108, 10618, 15408, 267, 8108, 513, 3102, 267, 2518, 4108, 9682, 10618, 3060, 269, 1879, 519, 9682, 10596, 936, 519, 6607, 267, 519, 5985, 3755, 593, 519, 2666, 666, 946, 1688, 18988, 10141, 1562, 547, 6494, 1239, 269, 634, 15408, 4309, 543, 4558, 891, 1239, 543, 1287, 4464, 621, 950, 789, 3914, 519, 2666, 8391, 6728, 269, 898, 568, 5631, 1031, 547, 10141, 1239, 689, 4914, 10136, 543, 4987, 4559, 547, 519, 2197, 563, 22102, 31420, 13639, 910, 13639, 25561, 1108, 1656, 13149, 5113, 16424, 454, 4263, 4380, 8879, 543, 7286, 2825, 1344, 568, 606, 1271, 1344, 585, 519, 4027, 540, 2413, 2112, 1604, 269, 2353, 2477, 685, 4108, 8936, 1390, 2956, 547, 621, 269, 2422, 922, 1378, 14368, 1670, 543, 5836, 4919, 15408, 585, 922, 4108, 14368, 1670, 543, 7286, 2825, 4027, 2533, 269, 13639, 4365, 15408, 2445, 4365, 1344, 936, 519, 8608, 610, 1808, 4525, 2687, 547, 2027, 4108, 2115, 267, 9472, 4365, 2175, 267, 723, 2178, 22637, 543, 1164, 3239, 6571, 267, 543, 666, 1683, 1483, 6066, 4365, 585, 2518, 7580, 4525, 267, 6370, 26753, 267, 543, 4108, 4559, 269, 6176, 547, 1683, 2556, 14368, 1670, 1489, 585, 519, 19862, 540, 4108, 2962, 4566, 563, 22102, 31420, 13639, 910, 13639, 29570, 1656, 32322, 12197, 20970, 454, 25823, 22972, 2520, 617, 2045, 6482, 568, 519, 946, 540, 5841, 3618, 15408, 547, 3313, 519, 4087, 540, 1022, 1448, 593, 519, 3618, 630, 10175, 593, 519, 2666, 543, 593, 519, 5836, 264, 543, 547, 5173, 519, 3845, 1063, 873, 267, 543, 547, 3313, 519, 3047, 781, 14965, 2361, 543, 519, 3337, 543, 2450, 540, 519, 3047, 269, 9603, 547, 519, 6454, 540, 519, 8343, 6111, 267, 519, 3077, 3568, 942, 5829, 2242, 269, 634, 1292, 4247, 616, 281, 2518, 267, 6237, 610, 2199, 1614, 8820, 4087, 6111, 267, 10661, 540, 3618, 1852, 3060, 267, 11837, 267, 4977, 8990, 540, 519, 3618, 781, 14965, 2361, 267, 3092, 563, 22102, 31420, 13639, 910, 31420, 5510, 2400, 454, 1103, 2413, 13137, 267, 1312, 5011, 540, 519, 31195, 7307, 547, 6861, 1142, 824, 779, 4108, 15408, 543, 2149, 741, 1378, 4108, 15408, 267, 799, 15469, 519, 1646, 540, 4550, 1606, 520, 22972, 9604, 269, 14640, 1606, 520, 22972, 15408, 630, 10193, 1634, 607, 18448, 528, 15408, 264, 616, 9682, 1949, 602, 15936, 609, 543, 6861, 10546, 15408, 998, 2571, 11318, 543, 2182, 11318, 269, 14640, 1606, 520, 22972, 15408, 786, 6923, 711, 581, 1932, 1804, 267, 10362, 547, 4108, 1507, 15408, 563, 22102, 31420, 13639, 910, 30404, 10417, 2986, 13639, 9540, 31420, 454, 6624, 4108, 4229, 616, 4974, 1585, 1507, 9682, 1949, 609, 2189, 7207, 538, 606, 5499, 4108, 1523, 269, 1280, 1383, 267, 7856, 9682, 1949, 585, 10618, 14672, 3572, 566, 267, 7856, 16986, 267, 543, 5250, 10760, 9804, 31785, 5852, 282, 9682, 1949, 585, 2230, 2861, 15392, 267, 7900, 3308, 543, 18342, 3618, 9196, 267, 1617, 529, 1051, 1537, 3618, 9196, 543, 11837, 267, 543, 3077, 7020, 31524, 543, 824, 4247, 282, 2038, 9963, 1507, 15408, 267, 1031, 547, 3950, 538, 1922, 2775, 954, 11666, 1581, 3440, 2065, 28862, 543, 26747, 2000, 320, 684, 3481, 7580, 28862, 543, 741, 2112, 21650, 267, 543, 547, 3391, 954, 4003, 954, 4003, 9072, 282, 513, 5691, 27934, 1507, 9682, 1062, 1031, 547, 3986, 519, 2702, 547, 13498, 538, 4108, 4238, 282, 8298, 2524, 834, 338, 520, 22972, 267, 593, 11399, 4226, 547, 1832, 7900, 759, 6269, 569, 4247, 267, 543, 865, 593, 269, 898, 666, 581, 10567, 602, 538, 519, 2104, 4108, 4238, 267, 513, 1507, 1297, 540, 15408, 786, 581, 1031, 547, 2347, 2027, 4247, 602, 3112, 581, 5340, 676, 824, 4108, 1949, 269, 9540, 15408, 723, 1044, 4922, 1031, 538, 519, 4108, 2361, 1317, 540, 741, 2110, 1646, 4783, 267, 1164, 6198, 5860, 5223, 267, 8465, 10131, 267, 543, 3728, 13033, 563, 2969, 306, 2969, 5303, 3213, 1421, 13456, 563, 11754, 816, 281, 476, 2412, 270, 2420, 631, 5622, 476, 276, 267, 10854, 16334, 836, 267, 16334, 836, 267, 6341, 583, 16217, 16988, 476, 9083, 3583, 454, 300, 9394, 281, 1341, 5780, 476, 8660, 268, 5780, 280, 268, 7597, 275, 277, 454, 763, 10131, 540, 1507, 31442, 520, 749, 2572, 568, 1769, 538, 2597, 267, 1507, 538, 2450, 267, 543, 13745, 563, 4692, 581, 9250, 609, 1507, 31244, 267, 610, 9250, 607, 606, 25581, 31139, 585, 1804, 31244, 563, 20181, 1382, 7616, 630, 29181, 540, 6634, 540, 681, 11586, 267, 585, 1383, 267, 476, 4968, 2929, 20430, 563, 763, 1507, 9682, 26424, 666, 5838, 2947, 2053, 519, 2179, 540, 1239, 540, 4540, 15408, 563, 10111, 787, 856, 2527, 1790, 22004, 9804, 1949, 267, 1164, 18286, 2518, 9505, 1562, 267, 18328, 5308, 1858, 5044, 8596, 563, 21581, 1239, 568, 1031, 547, 5659, 2518, 2883, 3466, 282, 4365, 2242, 610, 6808, 2175, 563, 5445, 786, 581, 2111, 547, 7494, 2087, 519, 2298, 540, 2110, 3856, 543, 1279, 3856, 4365, 23004, 563, 288, 26424, 540, 1507, 15408, 786, 5352, 909, 547, 476, 2568, 623, 289, 540, 2666, 2861, 7422, 540, 3621, 2298, 1142, 1032, 563, 19723, 2305, 28483, 10378, 5713, 547, 1683, 11413, 3823, 519, 3961, 543, 26117, 540, 707, 9467, 4891, 593, 2372, 514, 299, 2593, 269, 8307, 3549, 602, 723, 6192, 606, 24956, 1709, 543, 7638, 2305, 5650, 5342, 676, 2372, 514, 299, 7638, 2305, 723, 513, 7638, 2305, 28483, 269, 7638, 1881, 676, 2372, 514, 299, 563, 347, 19723, 2305, 28483, 10378, 5713, 547, 1683, 11413, 3823, 519, 3961, 543, 26117, 540, 707, 9467, 4891, 593, 2372, 514, 299, 2593, 269, 8307, 3549, 602, 723, 6192, 606, 24956, 1709, 543, 7638, 2305, 5650, 5342, 676, 2372, 514, 299, 7638, 2305, 723, 513, 7638, 2305, 28483, 269, 7638, 1881, 676, 2372, 514, 299, 269, 347, 0, 5804, 519, 942, 519, 1101, 21152, 8452, 538, 519, 3735, 590, 4869, 8696, 25569, 338, 12425, 4291, 1903, 941, 5645, 856, 676, 1857, 16304, 630, 17357, 269, 8063, 4877, 320, 30994, 267, 476, 1001, 275, 1040, 769, 20640, 8696, 10783, 344, 8422, 267, 12425, 2968, 519, 1101, 1533, 547, 13373, 880, 1857, 13793, 902, 269, 3245, 20640, 8696, 774, 8812, 9050, 2394, 715, 31106, 17823, 1399, 8422, 1142, 10315, 729, 3743, 585, 8876, 856, 4357, 16304, 540, 7803, 1369, 519, 3774, 540, 519, 10315, 21569, 563, 1103, 715, 31106, 774, 597, 10117, 519, 5539, 540, 4291, 1903, 729, 5293, 593, 547, 519, 1533, 543, 519, 3167, 11381, 3576, 519, 1747, 540, 16304, 630, 17357, 269, 8063, 4877, 320, 30994, 267, 476, 1001, 275, 264, 907, 5375, 6755, 527, 550, 10706, 538, 10418, 6019, 267, 1631, 1634, 607, 519, 3557, 4856, 14431, 531, 26323, 693, 9412, 1613, 267, 729, 5697, 676, 519, 1533, 23328, 607, 519, 4087, 585, 519, 11272, 17348, 269, 4634, 1498, 13317, 10751, 676, 6850, 322, 1081, 729, 17101, 676, 9086, 538, 715, 31106, 774, 597, 10117, 267, 9444, 519, 4050, 527, 550, 10706, 6862, 3167, 11381, 729, 4712, 585, 946, 2394, 715, 31106, 17823, 10117, 269, 4438, 519, 1079, 1296, 1063, 13170, 540, 6850, 322, 1081, 543, 519, 3135, 1373, 4712, 1100, 835, 538, 12425, 1100, 835, 729, 13401, 563, 303, 523, 11796, 23564, 547, 6850, 322, 1081, 538, 715, 31106, 774, 597, 10117, 1317, 282, 621, 729, 2808, 811, 1480, 324, 1287, 16304, 630, 303, 578, 749, 267, 476, 1001, 275, 1040, 12280, 729, 4080, 538, 1034, 2665, 540, 6850, 322, 1081, 547, 581, 31302, 267, 609, 1152, 513, 1906, 2665, 1141, 519, 11381, 1185, 29840, 539, 543, 519, 7803, 1185, 547, 581, 6850, 322, 3176, 585, 513, 2034, 942, 1310, 519, 11381, 1185, 1044, 30465, 269, 769, 2665, 540, 13793, 902, 811, 1419, 982, 711, 267, 519, 26956, 8288, 585, 13977, 3764, 610, 811, 609, 513, 7745, 8405, 1354, 13151, 17741, 547, 607, 19148, 343, 2747, 563, 4415, 6850, 322, 1081, 519, 26956, 1185, 547, 581, 840, 5529, 267, 1010, 2212, 543, 835, 28419, 1131, 581, 695, 8491, 267, 1818, 585, 1732, 3346, 540, 519, 5012, 630, 303, 578, 749, 267, 476, 1001, 275, 1040, 634, 26956, 568, 2269, 5529, 883, 519, 3167, 11381, 693, 519, 21389, 1235, 267, 22765, 267, 543, 17094, 956, 269, 3973, 267, 606, 19650, 568, 7923, 547, 519, 2212, 543, 1776, 547, 519, 1850, 269, 2311, 2547, 1079, 795, 565, 1206, 540, 1699, 616, 13859, 585, 1896, 3764, 269, 634, 1101, 795, 27117, 568, 936, 1079, 4627, 8536, 24311, 269, 901, 13515, 519, 2295, 543, 14906, 619, 519, 26956, 2634, 4666, 269, 634, 2034, 795, 27117, 568, 513, 5594, 2539, 6453, 1202, 1005, 519, 26956, 814, 5747, 563, 5804, 715, 31106, 17823, 10117, 2394, 715, 31106, 590, 4869, 344, 5565, 267, 8422, 25569, 543, 17823, 1399, 1004, 941, 13401, 538, 519, 3167, 11381, 630, 303, 578, 749, 267, 476, 1001, 275, 1040, 8307, 1614, 2021, 941, 13401, 676, 3167, 11381, 538, 12425, 8341, 928, 5576, 549, 25005, 267, 26425, 773, 5062, 651, 527, 1156, 267, 543, 4856, 9068, 5204, 7719, 269, 769, 715, 31106, 17823, 10117, 267, 3627, 13669, 777, 267, 513, 26722, 15294, 19907, 689, 27293, 6019, 267, 729, 519, 1101, 1268, 13401, 538, 519, 11381, 269, 634, 2063, 1268, 547, 581, 865, 13401, 676, 6850, 322, 1081, 729, 4432, 15879, 8055, 267, 513, 27293, 6019, 2013, 6836, 593, 513, 1689, 540, 28379, 538, 5192, 339, 903, 7921, 267, 17566, 6019, 269, 8055, 729, 13401, 593, 4989, 476, 273, 267, 476, 3422, 273, 267, 585, 519, 22149, 4882, 331, 11691, 540, 513, 11157, 8696, 4458, 2025, 8004, 269, 3213, 4532, 1211, 958, 267, 519, 1101, 1268, 13401, 538, 519, 11381, 267, 3627, 13669, 777, 267, 849, 729, 30992, 538, 27293, 6019, 563, 4002, 5437, 476, 3066, 267, 476, 1960, 271, 267, 29583, 269, 7917, 623, 269, 8865, 344, 9896, 9086, 4657, 12425, 781, 1505, 540, 11056, 689, 6850, 322, 1081, 547, 24037, 13297, 630, 303, 578, 749, 267, 476, 1001, 275, 1040, 2991, 267, 9086, 5293, 519, 1862, 0, 2005, 568, 2009, 547, 2061, 3529, 5072, 689, 29572, 532, 29326, 3515, 269, 11906, 338, 971, 607, 7601, 23253, 543, 11379, 28355, 666, 581, 1031, 1472, 519, 29326, 1899, 547, 25339, 3597, 31593, 269, 19045, 610, 3574, 7496, 666, 849, 581, 8704, 1472, 519, 29326, 3515, 547, 1832, 873, 1863, 540, 3597, 3441, 269, 1879, 30120, 267, 621, 781, 1655, 547, 3970, 519, 2179, 540, 2371, 610, 4054, 5116, 538, 2673, 16133, 547, 29326, 3515, 563, 303, 6559, 7257, 1562, 267, 3006, 3274, 1572, 3514, 1562, 267, 3888, 543, 2226, 12992, 602, 4163, 6464, 267, 7408, 267, 543, 9362, 269, 1452, 12992, 616, 1031, 6140, 538, 5663, 267, 5010, 267, 543, 4853, 5468, 269, 28546, 1562, 3888, 543, 7816, 10612, 1949, 538, 1379, 2371, 267, 607, 1134, 607, 8022, 543, 9023, 1949, 538, 1804, 5604, 5656, 269, 2368, 10612, 7257, 1562, 20647, 607, 3154, 7257, 1562, 267, 20057, 2401, 7257, 1562, 267, 610, 9252, 7257, 1562, 269, 0, 25402, 7671, 990, 747, 729, 2921, 513, 2736, 689, 8380, 1927, 513, 1867, 593, 8946, 2969, 2699, 20352, 267, 856, 15198, 1010, 7953, 267, 950, 513, 6206, 700, 14417, 812, 15504, 909, 538, 4395, 540, 519, 5604, 269, 590, 1120, 1470, 4223, 657, 5143, 7671, 990, 747, 267, 513, 8419, 4139, 2160, 10196, 267, 827, 1945, 9642, 23302, 538, 519, 12324, 269, 2334, 779, 950, 7671, 990, 747, 1336, 24199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9983, 267, 519, 6666, 1512, 15527, 9797, 267, 30260, 1010, 16012, 1702, 780, 12988, 693, 519, 3349, 267, 13177, 1164, 1922, 1882, 16092, 267, 9299, 2358, 1864, 585, 1818, 8902, 5079, 5103, 3355, 11688, 2787, 269, 11531, 267, 17555, 7948, 1405, 948, 855, 1745, 10583, 7487, 1200, 7820, 3659, 4019, 891, 2241, 2943, 26374, 2242, 547, 1010, 7594, 269, 1358, 6170, 519, 1964, 540, 741, 942, 4687, 17409, 543, 2984, 267, 2870, 8823, 936, 6980, 602, 941, 711, 1175, 8949, 855, 849, 1732, 585, 873, 780, 5804, 713, 1995, 267, 16092, 6956, 519, 2956, 540, 13326, 6492, 543, 6484, 1256, 950, 4189, 856, 269, 2859, 11932, 267, 646, 4362, 519, 1871, 540, 1565, 1927, 609, 2828, 267, 16779, 835, 1776, 547, 1332, 6857, 540, 4948, 5079, 5935, 741, 2949, 8171, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 12585, 519, 1739, 2243, 281, 3503, 513, 3818, 31547, 2243, 585, 519, 1739, 2376, 267, 609, 519, 2016, 5079, 543, 2626, 281, 9137, 281, 3767, 1082, 1004, 899, 3728, 1426, 269, 1284, 782, 917, 602, 3728, 1426, 568, 711, 854, 16591, 585, 938, 1072, 269, 1924, 811, 543, 811, 3728, 1426, 14060, 616, 7674, 8902, 1426, 543, 596, 666, 1118, 8902, 5079, 269, 3371, 616, 930, 4388, 585, 19280, 2635, 1426, 693, 3728, 1426, 14060, 269, 2608, 10673, 1405, 1931, 519, 7887, 2450, 269, 634, 7887, 2450, 4667, 14949, 267, 855, 621, 568, 711, 1434, 585, 707, 1072, 269, 634, 7887, 2450, 814, 519, 1034, 3170, 267, 4006, 543, 865, 593, 269, 589, 4130, 2450, 568, 4440, 2614, 585, 596, 269, 2608, 5278, 10425, 616, 2407, 540, 4006, 269, 1924, 950, 596, 616, 19818, 344, 267, 596, 1058, 3442, 5144, 610, 1216, 269, 2608, 29995, 22304, 1426, 568, 711, 519, 1655, 3903, 269, 1411, 1058, 3442, 19323, 1426, 269, 898, 568, 8902, 269, 2608, 7883, 585, 519, 3214, 10624, 267, 1317, 519, 7306, 540, 3214, 1426, 616, 2356, 4130, 269, 1411, 666, 3548, 1447, 269, 2608, 9213, 267, 811, 543, 811, 3728, 1426, 14060, 616, 4358, 547, 4196, 8902, 1426, 269, 1411, 666, 1931, 519, 1426, 609, 1913, 899, 834, 11794, 5257, 610, 257, 9041, 10640, 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, 3848, 7170, 281, 25947, 12619, 30719, 585, 14568, 10076, 2657, 692, 8893, 20638, 281, 13760, 875, 2921, 1416, 540, 707, 3207, 666, 948, 596, 1745, 1732, 14156, 269, 6258, 930, 4388, 543, 15361, 547, 2087, 707, 21557, 6296, 2439, 7072, 281, 5620, 596, 2479, 1185, 8373, 12008, 286, 9320, 621, 3576, 11014, 547, 2887, 18069, 267, 610, 5310, 596, 530, 5803, 909, 1259, 1932, 2038, 543, 7948, 1405, 1205, 1394, 547, 5326, 1633, 269, 1879, 713, 4523, 2899, 538, 513, 1247, 267, 621, 781, 1100, 2462, 4308, 269, 1809, 950, 2576, 814, 513, 2182, 942, 9991, 18069, 610, 9363, 18069, 585, 1082, 17334, 267, 789, 1522, 723, 1945, 1572, 20026, 269, 6184, 17410, 666, 1860, 4896, 267, 1256, 6738, 13522, 256, 1656, 7058, 1018, 286, 898, 7140, 856, 602, 3478, 2614, 1964, 995, 3207, 568, 1898, 585, 4509, 1434, 2790, 1072, 269, 4653, 267, 1577, 781, 2263, 1946, 3207, 6927, 543, 3605, 2081, 547, 1711, 2635, 21557, 6208, 1107, 849, 1634, 607, 3207, 9882, 1107, 865, 602, 649, 666, 782, 2972, 6653, 9909, 543, 1832, 938, 8186, 6126, 543, 2635, 2439, 4089, 476, 272, 281, 4208, 1772, 12619, 1924, 12830, 1280, 3776, 9650, 338, 2496, 2691, 649, 1589, 827, 3207, 267, 649, 2356, 1445, 593, 4743, 1964, 539, 543, 4712, 585, 519, 1554, 6619, 269, 2755, 602, 781, 17216, 3020, 267, 972, 616, 824, 4128, 1946, 3207, 568, 2629, 585, 721, 267, 2523, 938, 12058, 256, 4438, 3207, 267, 938, 4703, 960, 2182, 547, 1489, 2635, 2634, 1599, 543, 2226, 2168, 1072, 269, 769, 1249, 267, 3668, 540, 6190, 3207, 666, 1291, 547, 3929, 2042, 971, 607, 4160, 543, 4965, 269, 2334, 1797, 602, 952, 649, 1616, 547, 3251, 15508, 3514, 543, 2178, 267, 20414, 1346, 2098, 3960, 779, 568, 4105, 2439, 12244, 22830, 281, 9105, 1053, 547, 2671, 741, 4555, 593, 875, 3207, 5540, 873, 9308, 543, 14156, 269, 6651, 519, 4901, 4724, 1620, 519, 2956, 540, 3207, 585, 2790, 1072, 780, 4089, 476, 273, 281, 1548, 1772, 6184, 17410, 267, 543, 1215, 2052, 898, 18748, 2974, 2496, 3086, 602, 649, 917, 1946, 3207, 568, 1271, 1577, 781, 2911, 827, 20026, 269, 1306, 5018, 4505, 267, 20026, 4016, 547, 7411, 9991, 18069, 610, 9363, 18069, 269, 2368, 1004, 949, 1152, 1995, 2110, 3856, 20026, 1813, 547, 2566, 610, 2242, 538, 16131, 267, 855, 1866, 1223, 7985, 1279, 18835, 2589, 7133, 741, 3232, 2729, 269, 6184, 17410, 666, 2014, 1970, 1648, 2157, 267, 7099, 23638, 267, 4057, 5834, 267, 543, 1256, 4965, 269, 962, 10105, 256, 18641, 267, 5355, 938, 3207, 9882, 666, 979, 513, 1279, 1259, 538, 7303, 543, 5883, 20026, 780, 12244, 22830, 281, 8073, 513, 2241, 7688, 6998, 2055, 899, 968, 1432, 568, 20026, 9495, 610, 968, 1692, 1281, 20026, 1860, 938, 2790, 1072, 9495, 2422, 891, 2055, 547, 2708, 1053, 262, 8223, 543, 2232, 1022, 20887, 780, 4089, 476, 274, 281, 9669, 585, 12861, 6153, 12619, 30719, 31346, 692, 2080, 2501, 519, 1187, 851, 256, 2913, 781, 1451, 930, 4052, 2994, 547, 1020, 5140, 3207, 9882, 6208, 1384, 272, 269, 25529, 547, 513, 5812, 8430, 281, 8347, 2469, 547, 5127, 543, 24971, 909, 693, 519, 1482, 942, 1169, 1554, 267, 1256, 1282, 32300, 269, 3683, 942, 267, 707, 1560, 786, 1831, 26224, 547, 713, 11733, 267, 1818, 621, 4443, 547, 2887, 18069, 543, 12687, 909, 563, 273, 269, 5269, 707, 23103, 6899, 281, 3550, 707, 4055, 568, 4158, 267, 9602, 267, 543, 3579, 269, 6333, 10115, 538, 3109, 719, 1225, 13935, 267, 1274, 680, 13903, 267, 610, 513, 10178, 547, 11126, 707, 3207, 1604, 563, 274, 269, 23423, 4598, 547, 13819, 1354, 21557, 281, 634, 4544, 1769, 19501, 676, 11436, 267, 14342, 267, 5904, 267, 543, 7641, 338, 666, 15936, 609, 707, 2702, 547, 2887, 18069, 269, 12414, 1055, 5907, 3457, 693, 2547, 835, 5662, 1354, 18644, 519, 18720, 563, 275, 269, 5192, 2834, 3635, 281, 8447, 2534, 2337, 10038, 707, 4835, 9219, 267, 5009, 1732, 3207, 269, 3807, 3314, 711, 547, 4497, 538, 7920, 23736, 2673, 547, 21557, 267, 607, 713, 1522, 4734, 596, 1932, 10069, 1242, 547, 2879, 5622, 2763, 563, 276, 269, 13772, 707, 2732, 281, 6008, 518, 2312, 540, 5230, 6980, 267, 14933, 267, 543, 4568, 2673, 547, 21557, 269, 1452, 6878, 666, 7519, 707, 3207, 3270, 543, 2061, 2620, 267, 29260, 1793, 3784, 563, 277, 269, 3763, 513, 21363, 840, 1606, 2748, 9161, 281, 18918, 538, 22196, 2238, 899, 2542, 267, 1199, 23550, 267, 610, 6947, 547, 2571, 2575, 1354, 798, 4506, 1055, 269, 26787, 513, 3781, 569, 6296, 6786, 707, 1560, 602, 621, 781, 942, 547, 2842, 1524, 543, 5965, 585, 3207, 780, 12244, 22830, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 1142, 1895, 513, 9133, 269, 5620, 873, 2097, 909, 609, 3860, 2081, 547, 4019, 602, 9133, 538, 741, 1378, 2729, 269, 9523, 543, 1865, 3025, 781, 2093, 607, 513, 1362, 780, 6962, 281, 15775, 2614, 1164, 7779, 3207, 4249, 513, 1713, 1909, 538, 8497, 938, 2790, 1072, 269, 1635, 8026, 1434, 3207, 9882, 6208, 267, 649, 666, 2569, 519, 1981, 540, 3384, 2175, 899, 20026, 543, 4965, 269, 18964, 1647, 30595, 547, 3715, 2635, 13467, 1631, 5036, 873, 909, 585, 1967, 2663, 538, 1272, 269, 21690, 9909, 267, 16764, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22546, 338, 540, 1114, 1610, 23956, 23857, 593, 20026, 543, 4965, 538, 829, 11948, 641, 30167, 267, 2367, 641, 30167, 267, 543, 2022, 2173, 523, 641, 30167, 2021, 281, 513, 9836, 2689, 454, 289, 10157, 6468, 781, 2657, 4320, 476, 2537, 267, 9137, 1297, 281, 476, 3607, 274, 630, 1708, 274, 994, 24464, 18108, 568, 519, 942, 602, 7436, 8429, 476, 1321, 3275, 1310, 519, 2063, 28689, 4783, 538, 2021, 1063, 6502, 476, 2412, 1700, 2004, 269, 9093, 641, 30167, 2021, 1419, 1995, 4965, 543, 20026, 602, 3648, 1764, 741, 2949, 1134, 5630, 543, 2298, 540, 1272, 269, 901, 9836, 2689, 6663, 547, 3313, 519, 2360, 540, 1114, 9354, 1610, 23956, 23857, 593, 20026, 543, 4965, 538, 829, 11948, 641, 30167, 267, 2367, 641, 30167, 267, 543, 2022, 2173, 523, 641, 30167, 2021, 563, 5475, 7114, 938, 10014, 270, 1410, 2424, 7355, 267, 649, 5342, 513, 6538, 3406, 538, 29191, 573, 2506, 19668, 267, 631, 2839, 305, 3041, 267, 32253, 267, 3213, 577, 8735, 267, 543, 3163, 15411, 267, 1141, 476, 6110, 278, 4574, 941, 4857, 269, 1635, 1210, 7736, 9616, 3301, 267, 649, 16934, 5918, 27289, 267, 20775, 267, 543, 1875, 268, 21459, 1257, 4574, 269, 17006, 811, 2090, 689, 8261, 3406, 267, 649, 6368, 3769, 476, 4029, 4574, 1519, 476, 278, 1610, 23956, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18719, 1324, 12619, 30719, 585, 14568, 10076, 2657, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 28239, 15136, 1315, 12870, 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, 18726, 13508, 568, 513, 2565, 5057, 540, 2564, 543, 24027, 1072, 2533, 267, 3226, 538, 519, 2796, 540, 1857, 1072, 543, 1514, 5126, 269, 1306, 513, 1857, 1072, 12016, 630, 15771, 301, 1070, 621, 568, 1898, 547, 1174, 519, 1909, 540, 4719, 13508, 538, 5009, 519, 1072, 543, 8171, 540, 7925, 2950, 269, 769, 713, 3296, 267, 649, 786, 5490, 883, 519, 1523, 540, 4719, 13508, 267, 922, 4644, 538, 5466, 1072, 13103, 267, 543, 519, 1983, 2838, 547, 1831, 606, 2500, 4719, 24468, 780, 7049, 2045, 13508, 3322, 3246, 2043, 543, 3885, 609, 1344, 543, 1489, 3823, 4719, 2175, 543, 4152, 3681, 269, 18726, 24784, 616, 3782, 4648, 945, 723, 7463, 2866, 538, 11976, 267, 6530, 267, 543, 2792, 269, 1358, 960, 5702, 609, 2550, 267, 741, 3885, 267, 543, 824, 3782, 7426, 547, 6218, 4719, 4220, 267, 4612, 1449, 2164, 267, 543, 7520, 5483, 3375, 6194, 269, 9717, 519, 6988, 540, 4719, 1344, 543, 519, 1761, 1764, 593, 2043, 262, 2729, 267, 4719, 13508, 4249, 513, 4105, 1909, 538, 4180, 602, 2550, 4309, 4977, 543, 17519, 1416, 780, 3080, 1858, 1141, 4719, 13508, 666, 1118, 513, 1713, 3017, 568, 538, 5466, 1072, 13103, 1851, 7925, 5095, 269, 1280, 1383, 267, 1970, 13867, 2950, 1419, 3068, 7496, 547, 17034, 4719, 2533, 1813, 547, 2188, 971, 607, 1942, 267, 3668, 540, 6142, 3795, 267, 543, 3908, 8244, 540, 8036, 7426, 269, 5047, 267, 1978, 7292, 543, 6803, 2516, 949, 581, 693, 2362, 1981, 585, 15110, 4719, 4713, 267, 2417, 12615, 908, 1072, 31716, 269, 1635, 2810, 4656, 540, 891, 2152, 543, 9750, 1569, 547, 4719, 13508, 267, 11682, 28213, 666, 948, 2327, 602, 782, 2818, 540, 519, 2146, 4309, 3617, 543, 12905, 1416, 780, 2414, 581, 606, 2500, 4719, 24468, 267, 1896, 1883, 1983, 616, 2556, 269, 3689, 543, 19466, 267, 5140, 2792, 1983, 616, 2629, 585, 2679, 29037, 609, 2550, 267, 7713, 1950, 4719, 2035, 5693, 543, 13801, 569, 267, 543, 3246, 3929, 1489, 2429, 519, 1184, 269, 3958, 267, 2686, 16169, 568, 1898, 585, 2324, 609, 3309, 3461, 5095, 543, 4180, 602, 4719, 1344, 568, 4843, 538, 513, 15520, 6213, 6073, 269, 7053, 267, 2178, 4791, 1702, 543, 10763, 1983, 616, 2556, 585, 10442, 4719, 4220, 267, 16208, 1449, 2164, 267, 543, 1818, 2963, 2861, 7840, 780, 1103, 2487, 1296, 267, 8441, 538, 1024, 15299, 543, 8856, 4915, 723, 8118, 909, 1007, 3255, 585, 4719, 13508, 269, 1280, 3236 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 707, 1995, 267, 1018, 616, 519, 1702, 543, 15334, 3604, 1063, 2407, 942, 5520, 543, 851, 942, 538, 707, 2361, 286, 3767, 1589, 827, 2468, 987, 23127, 16455, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 833, 28546, 543, 5590, 1575, 257, 607, 851, 540, 834, 9915, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 10222, 987, 23127, 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, 4495, 2390, 513, 942, 267, 538, 513, 2244, 4904, 609, 782, 12204, 540, 1114, 7068, 267, 972, 729, 513, 1762, 13442, 3957, 918, 5942, 945, 6068, 547, 1451, 827, 519, 1158, 1472, 1200, 269, 2290, 1554, 267, 1352, 4280, 1200, 3659, 570, 27323, 267, 513, 8797, 2025, 12475, 18857, 267, 968, 307, 27323, 267, 1018, 568, 6530, 9495, 692, 307, 27323, 20493, 543, 1767, 267, 968, 11039, 267, 918, 5942, 267, 6530, 568, 519, 1353, 540, 875, 649, 1589, 267, 1745, 267, 543, 13789, 269, 3807, 899, 875, 938, 4703, 991, 1426, 543, 1216, 547, 7639, 267, 938, 8186, 849, 991, 1416, 543, 3007, 14325, 298, 5942, 2219, 585, 513, 4090, 543, 1287, 4280, 267, 968, 3719, 875, 798, 649, 1491, 1416, 540, 938, 8186, 267, 570, 27323, 286, 1656, 1946, 568, 621, 1271, 9495, 692, 307, 27323, 21330, 543, 14452, 267, 968, 15124, 2243, 267, 918, 5942, 256, 14171, 1416, 540, 938, 8186, 1797, 9878, 3007, 547, 938, 4555, 543, 4606, 267, 1175, 607, 649, 1131, 2628, 3007, 547, 513, 1085, 7275, 610, 2759, 593, 938, 1560, 269, 1879, 1945, 2306, 721, 8909, 267, 18901, 267, 610, 14220, 267, 621, 666, 581, 5363, 547, 2911, 827, 1346, 4606, 609, 2576, 649, 3972, 267, 899, 513, 2385, 610, 4116, 269, 901, 2337, 721, 1174, 543, 4383, 938, 4664, 1732, 14325, 2108, 17764, 267, 594, 1294, 17373, 608, 13094, 918, 5942, 269, 968, 4517, 1018, 827, 2623, 286, 1215, 1281, 602, 3514, 883, 6530, 9495, 692, 307, 27323, 4797, 267, 968, 6826, 8326, 4016, 547, 519, 1919, 649, 798, 1169, 1554, 267, 899, 4730, 267, 4189, 267, 610, 12008, 269, 6884, 267, 938, 5615, 666, 1860, 875, 649, 1745, 3330, 269, 1280, 1383, 267, 952, 649, 1810, 1406, 1205, 2614, 3207, 267, 649, 1522, 1745, 1989, 17056, 610, 13110, 519, 1985, 1554, 269, 1635, 1565, 811, 827, 875, 938, 5615, 3310, 938, 4555, 543, 4606, 267, 649, 666, 1118, 5079, 602, 948, 721, 3251, 6126, 543, 2635, 14325, 10501, 1190, 1631, 267, 918, 5942, 9289, 16965, 267, 968, 3383, 267, 875, 1281, 2790, 1072, 2097, 883, 1404, 1934, 9495, 692, 307, 27323, 6045, 267, 968, 26045, 1072, 568, 950, 938, 2247, 568, 4743, 1434, 543, 2324, 1134, 269, 1284, 782, 723, 8090, 1141, 649, 1522, 711, 1745, 938, 1655, 267, 855, 2921, 1416, 540, 938, 8186, 998, 2238, 899, 3635, 267, 2542, 267, 5373, 267, 610, 7836, 942, 609, 2828, 666, 948, 2087, 938, 2790, 1072, 269, 3807, 899, 17678, 938, 4522, 8952, 873, 2973, 543, 2178, 267, 891, 2238, 1832, 938, 8186, 8325, 543, 14388, 14325, 298, 5942, 6743, 5462, 543, 1767, 267, 968, 32452, 267, 570, 27323, 267, 594, 1616, 547, 1491, 2731, 1434, 1416, 540, 1250, 2247, 256, 2052, 596, 4001, 803, 930, 5751, 547, 1376, 1318, 2476, 9495, 692, 307, 27323, 669, 3089, 1194, 28663, 543, 12943, 267, 968, 8170, 1576, 267, 918, 5942, 256, 2913, 779, 2253, 676, 8026, 2620, 7244, 1927, 269, 19171, 707, 4064, 543, 4952, 3054, 538, 707, 5172, 1747, 269, 6875, 3500, 24967, 538, 543, 856, 267, 11423, 909, 707, 6084, 3240, 899, 513, 17891, 543, 15603, 621, 1219, 17218, 9900, 269, 23560, 713, 1896, 2053, 513, 1554, 786, 948, 9350, 707, 2247, 543, 2569, 1022, 2566, 610, 4160, 596, 949, 1995, 14325, 4415, 10761, 267, 918, 5942, 9684, 539, 570, 27323, 585, 3450, 1200, 827, 6530, 543, 2790, 1072, 269, 2701, 7948, 1406, 7227, 547, 2671, 1200, 16012, 1702, 609, 1200, 824, 2828, 543, 2259, 5329, 1200, 2247, 6126, 543, 2635, 1169, 1554, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10817, 559, 12578, 20943, 537, 8643, 267, 674, 10133, 17813, 14484, 687, 563, 296, 993, 606, 13815, 20421, 9097, 18673, 543, 1895, 25566, 267, 16159, 267, 19191, 543, 594, 8910, 899, 547, 1589, 2507, 320, 3787, 540, 513, 6752, 598, 7224, 23579, 584, 269, 589, 1699, 12854, 11001, 267, 538, 26447, 2090, 630, 13433, 2507, 560, 650, 269, 7043, 1650, 1776, 1433, 593, 713, 835, 1554, 264, 693, 21960, 330, 20198, 563, 296, 5892, 6026, 2565, 6530, 543, 3109, 2090, 693, 5204, 2350, 2224, 2160, 538, 5507, 267, 1250, 1279, 29280, 9525, 538, 4550, 268, 2350, 1143, 814, 7184, 6766, 1250, 14172, 543, 3206, 563, 7069, 1101, 1433, 1433, 12389, 2755, 4563, 630, 292, 12064, 281, 31919, 15932, 5600, 264, 6534, 519, 1764, 540, 5030, 2833, 540, 10168, 593, 3109, 8186, 543, 4703, 563, 7069, 2034, 1433, 6519, 9650, 338, 630, 303, 32123, 4964, 281, 30290, 2160, 264, 568, 513, 26447, 3408, 540, 875, 2618, 545, 543, 1514, 3889, 12969, 547, 16196, 17642, 8864, 543, 3702, 550, 4948, 5198, 6384, 267, 8635, 543, 5208, 563, 7069, 3791, 1433, 267, 11300, 2598, 8306, 630, 21595, 6588, 557, 5839, 27908, 534, 1070, 568, 1071, 24737, 1243, 630, 5976, 1250, 9905, 670, 20087, 1234, 324, 1407, 543, 19863, 807, 4144, 717, 1014, 325, 27509, 1723, 1040, 898, 779, 513, 4320, 627, 328, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 10076, 2657, 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, 20970, 543, 7503, 616, 4909, 2035, 538, 6128, 602, 723, 2647, 8573, 4474, 3156, 538, 1585, 4610, 267, 1519, 11095, 23798, 269, 1452, 2035, 5512, 721, 547, 22945, 543, 5635, 2168, 9424, 267, 1818, 621, 2009, 547, 4766, 543, 5659, 1950, 1949, 899, 519, 3384, 1480, 3308, 1062, 269, 901, 3184, 786, 5490, 883, 6482, 543, 7503, 267, 3246, 596, 609, 513, 4396, 5748, 538, 891, 1898, 6310, 2645, 780, 2414, 2253, 267, 1577, 781, 5581, 6482, 269, 2311, 922, 4295, 267, 6482, 3322, 26471, 513, 10230, 1871, 547, 513, 8984, 610, 14487, 540, 606, 1843, 610, 2680, 269, 1280, 1383, 267, 950, 4974, 519, 2208, 540, 8849, 4296, 538, 519, 3308, 16794, 267, 3173, 1522, 2268, 519, 3259, 267, 8700, 267, 610, 4320, 540, 1808, 2634, 4525, 269, 1677, 1685, 891, 7403, 8308, 267, 789, 1590, 946, 3617, 4559, 543, 7405, 780, 4462, 1080, 616, 3044, 3800, 1031, 547, 2769, 519, 9588, 540, 513, 1880, 7274, 269, 19590, 666, 581, 19040, 883, 1079, 2010, 281, 3490, 4559, 543, 6508, 4559, 269, 12476, 4559, 2099, 2596, 2168, 9424, 267, 1247, 6508, 4559, 616, 10659, 540, 3490, 4559, 1031, 547, 2769, 824, 2168, 9424, 269, 1280, 3236, 267, 3259, 568, 513, 3490, 1770, 267, 6466, 1858, 543, 4320, 616, 6508, 4559, 7229, 676, 14921, 610, 4946, 13080, 1927, 780, 1103, 2413, 6482, 1949, 267, 972, 2291, 1896, 5036, 540, 3490, 4559, 267, 609, 519, 4139, 3590, 540, 19590, 630, 10485, 264, 1373, 519, 1034, 4922, 7608, 269, 16038, 11225, 5722, 3490, 4559, 281, 11281, 630, 332, 1070, 11304, 630, 11899, 1070, 2034, 630, 338, 1070, 18041, 699, 630, 288, 1070, 737, 601, 9109, 630, 298, 1070, 3727, 630, 28485, 1070, 543, 4796, 11253, 630, 7251, 1040, 14216, 1882, 4559, 1369, 713, 1062, 1331, 519, 4009, 11281, 630, 332, 273, 264, 585, 1858, 543, 12945, 7397, 630, 332, 274, 264, 585, 4320, 780, 3519, 11437, 4016, 547, 4657, 513, 6027, 7274, 689, 835, 1770, 547, 1776, 269, 7743, 24740, 2154, 1702, 540, 7503, 2188, 267, 799, 9305, 1114, 4559, 998, 8691, 610, 6498, 269, 1879, 14291, 1063, 4559, 267, 2141, 2327, 602, 519, 5817, 2168, 7274, 3788, 24240, 269, 589, 1455, 8486, 6420, 568, 14845, 7503, 2188, 609, 3818, 2364, 894, 21635, 282, 3314, 602, 7503, 2188, 8190, 519, 3312, 7274, 781, 2495, 780, 4131, 781, 2015, 606, 1383, 4143, 547, 938, 4505, 4901, 827, 519, 3308, 1062, 269, 14597, 513, 11001, 3800, 519, 11098, 540, 519, 23726, 8229, 6775, 4494, 1210, 30562, 4394, 630, 382, 369, 332, 1040, 1403, 1352, 6499, 547, 1867, 1200, 4681, 538, 28935, 630, 7825, 1070, 1352, 2115, 547, 6460, 1200, 1239, 2094, 476, 272, 6515, 11224, 476, 272, 267, 1822, 18725, 332, 269, 4935, 267, 519, 7503, 3815, 1934, 568, 476, 272, 267, 1822, 18725, 332, 815, 476, 272, 6515, 269, 1635, 14921, 519, 6151, 1239, 2798, 676, 713, 7503, 3815, 267, 519, 11001, 5849, 4977, 8989, 1510, 19249, 519, 4890, 11098, 2418, 780, 3086, 602, 649, 1174, 519, 9238, 540, 6482, 543, 7503, 267, 1577, 781, 2263, 741, 4644, 538, 4207, 3621, 8658, 269, 10765, 8441, 538, 2564, 9196, 4066, 267, 971, 607, 6198, 6419, 16982, 9196, 630, 325, 28122, 264, 543, 18236, 21723, 9196, 630, 291, 2316, 1070, 7048, 8185, 593, 5730, 7403, 543, 24740, 269, 12824, 8415, 891, 2553, 547, 8495, 7293, 543, 6198, 2242, 9648, 1282, 3308, 1062, 1646, 269, 6452, 23847, 7403, 1450, 873, 547, 3950, 11029, 3604, 2066, 2043, 543, 4626, 788, 2002, 338, 267, 7700, 3407, 4030, 2509, 1620, 6093, 543, 693, 2988, 673, 30553, 3270, 780, 13010, 267, 15834, 21769, 1419, 28173, 15774, 2792, 1851, 4648, 945, 949, 2308, 3309, 6482, 4559, 269, 9208, 1436, 3646, 3366, 676, 3906, 899, 519, 2817, 4659, 540, 11621, 543, 5303, 630, 301, 8780, 264, 948, 7520, 5812, 15377, 1063, 3744, 267, 8030, 267, 543, 14519, 2324, 593, 3785, 5473, 519, 3308, 1062, 267, 8151, 689, 3872, 3301, 1374, 547, 1857, 1072, 7341, 780, 1103, 3932, 267, 17117, 540, 6482, 543, 7503, 3741, 16877, 6267, 547, 4497, 18390, 609, 6946, 3584, 17364, 2789, 11890, 269, 1306, 11609, 2429, 713, 3184, 267, 15334, 538, 891, 13654, 6310, 21941, 6087, 3173, 547, 16785, 4514, 883, 519, 13655, 4478, 519, 1646, 540, 519, 3308, 1062, 543, 3564, 269, 16871, 3255, 547, 24917, 891, 1983, 533, 2314, 519, 1259, 585, 6209, 7418, 547, 5571, 27964, 5935, 938, 7104, 8223, 540, 1480, 17133, 543, 14715, 1599, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 4886, 2986, 634, 10439, 3590, 630, 14946, 11365, 29249, 994, 12606, 4886, 2986, 634, 10439, 3590, 630, 14946, 11365, 29249, 994, 2171, 616, 19737, 1983, 585, 4647, 1646, 540, 519, 3308, 1062, 630, 16467, 11365, 2959, 1159, 601, 1154, 2480, 656, 1258, 4939, 4574, 269, 4659, 585, 9752, 28742, 781, 2480, 8911, 6689, 269, 581, 606, 4647, 1646, 540, 519, 3308, 1062, 609, 513, 590, 25492, 19019, 531, 13693, 656, 585, 1259, 17265, 11440, 21336, 3599, 4568, 338, 267, 3001, 17564, 3206, 267, 543, 811, 256, 5545, 2985, 827, 2052, 11663, 12232, 256, 634, 5101, 3127, 7577, 263, 543, 2663, 519, 4647, 1646, 3862, 1731, 264, 1767, 7301, 2243, 10459, 6537, 676, 8013, 24026, 896, 513, 1272, 602, 1131, 581, 3060, 543, 8073, 606, 971, 19908, 540, 909, 547, 2947, 2875, 1282, 519, 3703, 2818, 540, 19545, 269, 476, 11152, 282, 769, 476, 6977, 275, 4346, 7083, 18243, 327, 748, 773, 3812, 513, 9114, 547, 2307, 513, 11571, 540, 22030, 19237, 7487, 519, 2473, 268, 1015, 2640, 540, 3127, 269, 476, 11152, 282, 4107, 540, 519, 4647, 1646, 540, 7123, 3357, 13087, 676, 4719, 12897, 9916, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9288, 5501, 618, 543, 23586, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 9119, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 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 ]
[ 2278, 25246, 267, 513, 1641, 25246, 267, 543, 513, 4266, 25246, 563, 288, 3989, 30834, 1707, 540, 513, 2594, 1031, 547, 2594, 1152, 513, 1808, 7121, 540, 1239, 610, 1239, 3693, 1519, 4760, 2140, 267, 2376, 2140, 267, 7493, 267, 1641, 630, 9188, 5296, 528, 1070, 543, 1866, 563, 24687, 610, 513, 3948, 7713, 519, 1257, 610, 10834, 519, 4493, 585, 606, 25195, 610, 519, 2707, 540, 1570, 20926, 267, 2356, 17729, 693, 519, 3723, 540, 513, 2985, 540, 1257, 563, 288, 2347, 5907, 5299, 540, 513, 4199, 267, 2356, 606, 2376, 267, 9763, 593, 513, 2780, 4159, 5496, 563, 288, 3059, 4015, 540, 3370, 3332, 538, 1022, 2016, 9015, 602, 2488, 1569, 547, 519, 2407, 1257, 538, 1840, 547, 519, 12190, 4919, 4704, 563, 288, 10923, 8675, 282, 2356, 2882, 29978, 543, 20173, 540, 513, 2016, 1747, 267, 2551, 267, 2450, 267, 3092, 563, 306, 1545, 9102, 676, 610, 585, 2229, 8041, 269, 6884, 1572, 1857, 6054, 563, 14197, 1344, 2707, 3246, 2656, 4704, 593, 513, 2016, 1641, 269, 7435, 9248, 949, 581, 2489, 610, 1641, 1808, 563, 24404, 916, 585, 946, 538, 519, 5399, 1152, 563, 8269, 619, 547, 3688, 27366, 689, 513, 6538, 12805, 7355, 596, 1305, 269, 1280, 1383, 267, 952, 596, 798, 513, 20438, 3406, 538, 519, 2228, 17048, 585, 834, 332, 2459, 1023, 257, 543, 23074, 476, 2004, 279, 3688, 267, 602, 666, 849, 581, 1572, 476, 2004, 279, 1412, 327, 1080, 25692, 31088, 602, 2636, 596, 547, 7662, 513, 1433, 596, 1616, 950, 782, 519, 12215, 616, 856, 593, 10211, 269, 4746, 1634, 607, 7662, 610, 30063, 563, 288, 1592, 540, 782, 519, 12531, 540, 513, 4760, 267, 610, 12531, 610, 12215, 540, 513, 1433, 11262, 610, 4371, 676, 513, 5399, 563, 12487, 7876, 630, 29730, 3667, 4460, 1575, 5678, 994, 763, 2780, 1893, 1031, 547, 1711, 6054, 593, 519, 2622, 22453, 5680, 865, 602, 789, 616, 28505, 676, 5680, 26292, 563, 2304, 3239, 610, 513, 6712, 540, 1257, 799, 513, 5680, 3593, 666, 4945, 547, 7914, 547, 1776, 3561, 610, 2985, 593, 519, 5680, 269, 7956, 783, 5409, 31904, 616, 1419, 896, 20040, 543, 2408, 607, 513, 1114, 2681, 982, 519, 5354, 540, 519, 1257, 593, 513, 5680, 2985, 563, 288, 3561, 3898, 799, 2882, 519, 946, 540, 16887, 27573, 2474, 610, 2592, 799, 267, 950, 5697, 610, 834, 743, 17673, 2580, 1921, 547, 513, 5532, 4087, 610, 3758, 267, 610, 4163, 856, 513, 4971, 547, 2196, 606, 3498, 610, 1982, 563, 288, 1507, 3090, 593, 513, 2780, 5496, 602, 4564, 513, 2780, 5106, 610, 1239, 3758, 563, 763, 2012, 540, 519, 17404, 267, 2733, 12460, 267, 10672, 267, 3092, 269, 543, 519, 1747, 543, 4266, 540, 8313, 267, 3892, 267, 5478, 267, 3092, 269, 540, 513, 12190, 4919, 6221, 563, 272, 269, 1323, 9904, 673, 1592, 540, 3584, 1299, 2985, 2338, 1336, 538, 519, 1394, 540, 513, 1433, 563, 273, 269, 589, 9102, 610, 5907, 8313, 602, 2488, 8100, 547, 1974, 673, 4930, 610, 2835, 676, 741, 1641, 267, 2278, 267, 610, 824, 3406, 2474, 563, 11328, 331, 3869, 10753, 534, 630, 21135, 994, 299, 3869, 3028, 799, 2488, 585, 519, 24228, 540, 5399, 2326, 711, 1336, 693, 938, 9872, 689, 824, 8021, 998, 707, 1378, 5399, 563, 25835, 630, 17220, 9208, 3883, 7089, 12467, 288, 2947, 12268, 267, 24369, 7302, 541, 1461, 3009, 2016, 513, 1433, 630, 320, 1875, 1606, 518, 658, 5339, 8313, 264, 1354, 8313, 607, 513, 1797, 540, 7114, 621, 13801, 569, 267, 19918, 267, 543, 796, 3711, 580, 28204, 269, 634, 2947, 2694, 540, 519, 9768, 616, 281, 18772, 3693, 267, 1895, 32165, 630, 324, 3052, 1421, 3084, 267, 13664, 267, 1893, 267, 610, 824, 10375, 1895, 1070, 17404, 32165, 267, 2140, 32165, 267, 543, 2638, 7857, 563, 3041, 17928, 630, 17220, 9208, 5395, 658, 7089, 994, 763, 3486, 10230, 3009, 602, 14439, 13801, 569, 267, 19918, 267, 543, 796, 3711, 580, 28204, 513, 17626, 8313, 563, 288, 2582, 19918, 22921, 610, 18584, 851, 540, 513, 1974, 673, 610, 11356, 563, 288, 8313, 5627, 630, 659, 27854, 264, 4930, 2356, 3370, 676, 4081, 610, 7681, 2046, 525, 543, 1331, 12190, 13132, 269, 4746, 1634, 607, 1974, 673, 4586, 288, 1713, 2262, 610, 8360, 799, 596, 666, 946, 547, 3406, 12240, 543, 2228, 17048, 1132, 585, 1344, 593, 1808, 3584, 585, 707, 10467, 454, 11767, 532, 519, 17161, 607, 3406, 2474, 2687, 547, 519, 7954, 540, 519, 3406, 267, 799, 2356, 2164, 538, 513, 1592, 540, 6538, 5638, 602, 2270, 782, 519, 17161, 9411, 563, 1805, 3530, 539, 11380, 1141, 596, 666, 1205, 948, 267, 2445, 543, 2132, 24195, 267, 543, 865, 593, 269, 1411, 666, 849, 10210, 2835, 689, 1934, 538, 930, 2665, 563, 288, 3760, 1141, 5399, 3755, 666, 1265, 4199, 10274, 16432, 676, 938, 7172, 12579, 547, 948, 596, 538, 707, 1382, 593, 1585, 3584, 563, 7312, 2875, 23995, 3530, 9517, 3556, 568, 849, 707, 5399, 3556, 563, 291, 520, 15390, 540, 782, 3688, 267, 2835, 267, 13746, 543, 824, 2326, 4371, 538, 519, 5399, 563, 19547, 5661, 540, 707, 5399, 2272, 563, 763, 1297, 540, 3688, 596, 666, 10210, 563, 21920, 540, 942, 596, 666, 1832, 606, 6221, 563, 299, 3869, 6837, 19032, 630, 299, 6717, 264, 3590, 454, 763, 8760, 1062, 2919, 543, 1031, 693, 519, 7732, 540, 6837, 267, 4098, 538, 476, 6245, 278, 269, 898, 1462, 5809, 519, 679, 10179, 894, 1505, 540, 8760, 543, 2636, 585, 4797, 2208, 543, 7269, 269, 634, 10035, 610, 1297, 532, 10325, 568, 6404, 1210, 513, 4999, 540, 5022, 543, 2338, 269, 634, 2596, 7291, 568, 607, 5205, 912, 288, 4937, 1568, 454, 289, 13898, 267, 6530, 267, 4984, 454, 290, 589, 5060, 18416, 2257, 540, 1686, 454, 291, 17629, 543, 6196, 2622, 1686, 4849, 3013, 454, 294, 17323, 267, 19795, 267, 18691, 267, 9821, 267, 5026, 454, 295, 4317, 9443, 267, 9297, 454, 297, 11572, 2257, 454, 301, 20963, 6575, 454, 303, 5678, 543, 3332, 454, 306, 11982, 267, 10122, 454, 308, 13639, 2257, 454, 309, 25220, 2257, 454, 313, 31639, 543, 5399, 3163, 563, 299, 3869, 540, 6837, 13595, 10361, 902, 454, 288, 13387, 1592, 540, 2474, 630, 528, 519, 28445, 264, 3964, 676, 519, 7732, 540, 6837, 585, 946, 607, 1641, 26333, 269, 13595, 26333, 267, 616, 1913, 610, 2516, 540, 1913, 896, 799, 2835, 543, 824, 2326, 593, 1022, 2016, 1641, 616, 7396, 538, 513, 5399, 781, 17048, 267, 610, 6538, 269, 700, 1235, 540, 1641, 26333, 3622, 1331, 8100, 1500, 547, 543, 689, 1142, 2165, 267, 4967, 7713, 519, 9165, 610, 6165, 540, 1978, 26333, 267, 543, 12212, 7222, 8760, 2338, 269, 634, 9098, 15306, 23905, 3096, 519, 7732, 540, 6837, 13595, 10361, 902, 1592, 563, 288, 1974, 673, 6322, 693, 519, 2442, 2528, 267, 5627, 2442, 4930, 267, 2854, 543, 11609, 538, 513, 1447, 2930, 6073, 982, 519, 4930, 1336, 538, 513, 4760, 563, 19465, 602, 8075, 476, 4792, 260, 540, 519, 2698, 13325, 4015, 543, 5111, 476, 736, 8257, 531, 8021, 269, 10705, 20093, 821, 3585, 5219, 547, 607, 519, 834, 12392, 5399, 8487, 288, 1433, 540, 3652, 610, 4808, 282, 513, 25156, 563, 288, 1688, 25740, 610, 29921, 5888, 267, 2864, 982, 9102, 269, 22291, 2516, 540, 2123, 4574, 799, 723, 930, 796, 4328, 8984, 543, 1367, 6054, 799, 723, 930, 2027, 2956, 563, 300, 2752, 290, 630, 300, 22389, 268, 5649, 762, 18280, 4084, 994, 2304, 3486, 3044, 3898, 585, 519, 11460, 540, 17048, 532, 1344, 865, 602, 621, 666, 581, 6740, 543, 27366, 1210, 2780, 7148, 525, 563, 21357, 13595, 10361, 902, 454, 2304, 27099, 585, 6481, 13595, 10361, 902, 269, 901, 6417, 6863, 1062, 568, 5462, 676, 519, 2817, 7732, 540, 6925, 267, 543, 568, 1031, 585, 4994, 532, 4930, 267, 17048, 532, 2326, 267, 543, 10478, 631, 2464, 295, 268, 8161, 539, 12240, 269, 2368, 18960, 2326, 538, 5410, 2581, 786, 1592, 2725, 17239, 2474, 267, 1498, 891, 941, 18928, 25216, 585, 1082, 1296, 563, 300, 293, 291, 267, 11638, 6363, 23341, 20905, 454, 4322, 616, 519, 6191, 1141, 596, 666, 2584, 665, 4878, 267, 1820, 543, 11571, 563, 288, 2489, 2165, 1374, 908, 1896, 2010, 540, 26278, 10063, 2388, 630, 332, 2222, 28291, 267, 29370, 7865, 267, 2890, 15258, 264, 799, 616, 4389, 538, 2450, 543, 2154, 3172, 2305, 547, 998, 6771, 267, 4859, 267, 2542, 267, 543, 8228, 540, 6054, 563, 288, 2143, 2854, 1353, 540, 513, 2582, 1641, 610, 1362, 540, 5396, 267, 610, 593, 835, 1268, 267, 2356, 2143, 538, 2126, 855, 711, 3573, 538, 9165, 543, 1419, 5627, 12190, 13132, 563, 288, 1395, 4919, 3126, 568, 513, 1305, 540, 2835, 602, 723, 513, 1297, 540, 12531, 609, 513, 17386, 1439, 267, 971, 607, 22605, 563, 763, 1305, 814, 513, 13113, 1297, 540, 12531, 267, 552, 3052, 269, 15610, 563, 12179, 1344, 4199, 602, 6799, 1344, 1210, 811, 982, 835, 2923, 630, 2745, 267, 4605, 267, 8301, 267, 610, 3381, 1916, 20332, 5678, 9612, 532, 454, 5278, 3406, 9817, 610, 12240, 1450, 10478, 609, 2067, 1893, 2055, 3079, 540, 20438, 3406, 6898, 9112, 676, 6101, 3652, 282, 552, 3052, 269, 968, 6343, 568, 519, 1198, 540, 10229, 593, 1453, 779, 4189, 6208, 9495, 630, 11499, 1893, 264, 8957, 968, 30541, 2358, 543, 4189, 4356, 265, 543, 1453, 892, 630, 845, 531, 3406, 3948, 1916, 24309, 1344, 2366, 5781, 547, 2818, 540, 606, 3919, 267, 5627, 3377, 827, 2621, 267, 2238, 3092, 563, 288, 17626, 9783, 693, 7150, 267, 7928, 11996, 630, 328, 4318, 1421, 3232, 267, 12353, 267, 610, 10859, 22173, 569, 1070, 5627, 3377, 267, 8369, 267, 22099, 267, 543, 824, 3688, 540, 1699, 267, 1419, 2199, 267, 1719, 563, 8253, 585, 10753, 534, 454, 2005, 2114, 602, 1590, 581, 1031, 538, 519, 5399, 267, 1775, 4318, 1421, 4704, 2835, 267, 1699, 2152, 540, 13746, 267, 7851, 267, 543, 2890, 13257, 563, 8016, 9448, 630, 15697, 8950, 7732, 4741, 994, 288, 12190, 4919, 3060, 1759, 593, 606, 2228, 6538, 540, 5111, 476, 2764, 2929, 17048, 532, 5638, 689, 922, 476, 20862, 271, 2818, 269, 898, 1631, 5713, 811, 982, 476, 1240, 267, 1822, 8021, 538, 476, 7367, 2477, 269, 634, 32726, 9448, 6538, 568, 1031, 585, 17048, 532, 267, 585, 4704, 960, 267, 543, 585, 954, 331, 3869, 10211, 269, 898, 568, 519, 1158, 781, 4102, 543, 1034, 3102, 6538, 540, 12190, 4919, 1344, 269, 15745, 281, 5291, 2517, 4178, 269, 16438, 322, 3820, 13045, 2304, 5907, 4994, 547, 519, 2835, 4371, 676, 513, 5399, 3246, 1344, 827, 5638, 540, 519, 2835, 4092, 538, 519, 5399, 779, 4015, 267, 741, 6753, 267, 543, 519, 4567, 540, 1142, 1433, 630, 19989, 267, 13761, 856, 267, 585, 5399, 946, 1152, 1040, 6884, 5219, 547, 607, 20525, 3722, 263, 15411, 5398, 7457, 18280, 690, 1916, 20663, 12240, 269, 24157, 4919, 12240, 1683, 1569, 676, 2278, 267, 2140, 267, 543, 1641, 547, 513, 1895, 540, 1974, 25025, 267, 2835, 267, 610, 18659, 269, 6613, 20143, 12240, 1683, 1569, 547, 8579, 1344, 563, 24552, 971, 607, 6730, 267, 10758, 267, 543, 10691, 602, 616, 1031, 547, 9192, 3406, 2474, 547, 22962, 610, 7522, 519, 2164, 540, 513, 3406, 563, 8008, 3722, 630, 15697, 5398, 7457, 18280, 690, 994, 288, 2780, 1242, 17048, 540, 2835, 543, 824, 3688, 538, 519, 5399, 563, 2005, 655, 814, 2907, 1044, 9783, 547, 1776, 5399, 3593, 543, 4061, 786, 711, 581, 593, 519, 21684, 563, 2005, 655, 602, 666, 581, 22666, 585, 513, 3018, 610, 811, 563, 11073, 540, 7179, 454, 2304, 6221, 267, 3335, 513, 1433, 267, 855, 666, 1331, 1022, 1820, 610, 3308, 5420, 610, 3280, 10916, 267, 799, 568, 1100, 3476, 1373, 3370, 563, 11073, 540, 14351, 454, 763, 6221, 568, 22666, 676, 824, 3755, 563, 2005, 655, 602, 814, 711, 1044, 8120, 676, 922, 1813, 4266, 563, 288, 1433, 602, 568, 1932, 1804, 547, 3514, 513, 3044, 15808, 267, 2356, 11280, 609, 513, 1627, 630, 32483, 334, 264, 610, 674, 630, 12859, 264, 1354, 519, 1289, 1297, 543, 6740, 538, 513, 2027, 4087, 563, 288, 3758, 3898, 2919, 676, 23489, 3600, 13681, 520, 10378, 602, 2636, 6119, 547, 581, 10299, 689, 835, 2780, 547, 1776, 1247, 20808, 741, 3312, 5920, 1312, 593, 1606, 10547, 543, 950, 9102, 269, 1323, 27099, 585, 5800, 762, 11657, 14474, 563, 288, 1433, 609, 1152, 513, 1906, 3817, 269, 1452, 3688, 616, 1419, 6692, 1386, 14384, 563, 288, 4015, 540, 30732, 7410, 543, 804, 2089, 902 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27697, 689, 17289, 9683, 7977, 543, 1565, 547, 1118, 27598, 1567, 582, 1729, 269, 1358, 3142, 713, 1007, 11600, 1394, 1753, 267, 1141, 621, 4991, 6404, 609, 21487, 10366, 971, 607, 19790, 784, 14993, 543, 31625, 18717, 1107, 2870, 1945, 7357, 1007, 1572, 834, 1320, 2967, 16654, 1567, 582, 1729, 10590, 901, 5385, 540, 10346, 1063, 2477, 5932, 12760, 32345, 2407, 540, 4277, 10659, 543, 16919, 780, 3719, 1946, 1281, 1022, 540, 713, 2339, 286, 4197, 2686, 11951, 2337, 721, 5660, 824, 4529, 543, 741, 12583, 269, 1635, 512, 8463, 8286, 689, 1472, 519, 1158, 267, 649, 1205, 2370, 1350, 31663, 525, 883, 1346, 4025, 543, 2053, 269, 2913, 803, 2285, 596, 606, 1383, 281, 950, 596, 3548, 513, 30861, 554, 3711, 584, 3455, 267, 798, 596, 8275, 602, 621, 814, 5072, 538, 5125, 286, 4436, 11082, 4547, 741, 2245, 540, 4189, 5779, 1273, 2906, 547, 3013, 267, 799, 1287, 7960, 883, 938, 11537, 3276, 3455, 2439, 11101, 267, 4974, 2686, 11951, 2636, 721, 547, 1174, 2518, 4296, 1732, 269, 23123, 899, 12277, 267, 14274, 267, 543, 10217, 8385, 2097, 689, 3162, 3013, 855, 1631, 1404, 2629, 5107, 538, 1082, 3864, 543, 7489, 8286, 1813, 547, 4123, 11507, 3964, 5553, 3516, 269, 1924, 267, 676, 11981, 513, 2295, 344, 12403, 610, 3638, 3905, 10217, 267, 649, 18549, 8661, 2038, 17701, 543, 18318, 945, 4448, 11397, 2694, 540, 519, 1158, 780, 7661, 267, 5986, 543, 4687, 2686, 11951, 7794, 1514, 7554, 1932, 269, 27759, 6980, 1927, 6770, 3885, 6251, 267, 3850, 873, 547, 2671, 2984, 543, 1711, 8823, 269, 6684, 267, 16475, 1494, 331, 3089, 7188, 2996, 1141, 3025, 8309, 513, 8670, 8204, 741, 6561, 11942, 2146, 6891, 543, 3444, 14426, 1620, 780, 3383, 979, 6619, 267, 2119, 856, 513, 1007, 11600, 2221, 256, 6787, 621, 781, 986, 5443, 30653, 689, 3567, 267, 17328, 7578, 689, 8050, 267, 610, 23881, 2378, 601, 689, 519, 5664, 5101, 267, 3314, 602, 1169, 11116, 13462, 596, 547, 4241, 12583, 267, 3309, 9082, 267, 543, 7654, 1256, 2576, 781, 6264, 2742, 781, 5728, 12146, 1592, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 2991, 7073, 640, 281, 16329, 1670, 22604, 1677, 634, 12634, 12815, 476, 1001, 271, 454, 12606, 2991, 7073, 640, 281, 16329, 1670, 22604, 1677, 634, 12634, 12815, 476, 1001, 271, 454, 5978, 9095, 4647, 2991, 7073, 640, 281, 16329, 1670, 22604, 547, 519, 12634, 12815, 476, 1001, 271, 12897, 616, 2111, 267, 14195, 3817, 2348, 513, 721, 320, 28957, 543, 513, 3781, 8561, 269, 13931, 538, 519, 13962, 540, 918, 783, 320, 700, 2794, 584, 2486, 1788, 267, 513, 476, 1015, 15902, 2373, 14089, 547, 8891, 1258, 553, 3828, 514, 570, 10183, 4391, 267, 1822, 13483, 269, 2141, 13351, 2059, 808, 23750, 2549, 335, 836, 693, 519, 808, 23750, 20658, 681, 1794, 752, 1689, 267, 17677, 21698, 918, 783, 320, 700, 2794, 584, 11828, 1369, 18226, 949, 334, 547, 930, 540, 519, 6205, 282, 7234, 1655, 1283, 853, 4169, 267, 11769, 543, 3919, 269, 1284, 616, 2944, 693, 634, 769, 3410, 1046, 267, 606, 17170, 7783, 4056, 10167, 543, 476, 273, 333, 5870, 609, 936, 476, 3445, 1699, 18282, 269, 476, 271, 4375, 282, 3803, 4647, 2991, 7073, 640, 281, 16329, 1670, 22604, 547, 3788, 513, 30264, 667, 816, 538, 519, 10051, 8291, 269, 476, 1001, 279, 634, 3883, 3493, 12141, 13456, 269, 634, 18303, 1788, 850, 610, 10979, 6520, 267, 606, 476, 837, 22441, 540, 20368, 2678, 1944, 543, 2469, 10509, 29946, 267, 9414, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 28690, 257, 607, 851, 540, 834, 16300, 16337, 1315, 18181, 1299, 5253, 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, 1015, 281, 10289, 7756, 9537, 540, 5675, 692, 5970, 596, 2479, 2219, 827, 782, 519, 1114, 5686, 540, 1603, 602, 2291, 286, 1703, 616, 865, 1082, 2081, 547, 2769, 3054, 998, 1913, 256, 769, 713, 3184, 267, 649, 786, 2263, 1585, 7463, 543, 13395, 2127, 540, 1603, 602, 1522, 1719, 596, 269, 5808, 6487, 910, 6148, 835, 1554, 596, 1223, 1831, 513, 4583, 1453, 781, 1433, 2278, 267, 2951, 5856, 267, 610, 1256, 513, 2575, 19784, 2439, 4089, 476, 272, 281, 18990, 5675, 18877, 454, 1366, 15365, 9617, 607, 972, 616, 15731, 585, 5026, 6887, 610, 15908, 2516, 267, 972, 616, 2950, 540, 1004, 945, 2671, 2147, 4690, 538, 1808, 2010, 540, 1603, 269, 1452, 834, 8586, 12137, 1127, 257, 3142, 1927, 2043, 13730, 827, 2831, 267, 12202, 267, 1426, 267, 610, 1022, 824, 1880, 1888, 789, 2648, 269, 1635, 11836, 891, 2516, 267, 1312, 2228, 543, 22356, 267, 14971, 5830, 666, 1451, 811, 827, 741, 6074, 2361, 267, 1921, 609, 899, 16490, 2043, 267, 543, 2087, 741, 1983, 780, 7078, 1422, 265, 9894, 596, 917, 602, 972, 568, 513, 2898, 3919, 6131, 547, 5885, 543, 5009, 16669, 19761, 286, 901, 1895, 2337, 922, 2818, 3251, 8242, 593, 2872, 3377, 267, 2488, 3255, 585, 13033, 267, 543, 7512, 1164, 4441, 1369, 519, 2361, 269, 5994, 3478, 6976, 547, 1449, 5397, 6517, 543, 1287, 4687, 707, 2833, 609, 1866, 2439, 4089, 476, 273, 281, 7981, 1242, 4813, 1846, 543, 2637, 637, 454, 5785, 21387, 5278, 2010, 540, 1603, 2097, 538, 2189, 12043, 610, 11964, 269, 1280, 3236, 267, 723, 596, 4862, 540, 575, 698, 5830, 543, 20419, 1309, 1632, 1235, 286, 1358, 1711, 16168, 3515, 543, 24668, 585, 27977, 2938, 538, 14786, 543, 17476, 256, 2107, 1018, 827, 3020, 6760, 27143, 286, 1452, 2982, 4685, 2620, 883, 1483, 3734, 13655, 267, 15294, 619, 267, 543, 5667, 9407, 2665, 269, 3414, 1382, 543, 9423, 267, 5830, 1832, 19700, 7722, 1247, 1565, 1945, 1007, 780, 7078, 1422, 265, 6056, 827, 875, 1454, 1187, 621, 1131, 581, 547, 2328, 3061, 687, 585, 554, 559, 13895, 3662, 14676, 256, 1411, 1223, 6108, 3108, 19855, 5961, 540, 20036, 7314, 543, 5243, 1247, 4947, 909, 609, 15931, 5309, 338, 543, 18854, 1399, 24616, 269, 9578, 267, 6616, 602, 3988, 2972, 707, 960, 1590, 1745, 11212, 14785, 2439, 4089, 476, 274, 281, 4045, 532, 2060, 2659, 32425, 454, 5785, 19030, 2414, 1265, 1967, 543, 8788, 538, 1603, 267, 2015, 3695, 3584, 602, 22992, 10161, 596, 269, 1403, 596, 740, 648, 2470, 267, 5310, 4742, 606, 9205, 5856, 945, 6227, 2825, 2152, 543, 9035, 1522, 9290, 707, 16919, 269, 9320, 596, 1404, 606, 6293, 610, 2206, 282, 952, 865, 267, 18167, 883, 2575, 19761, 610, 5152, 8586, 949, 2709, 11995, 7399, 780, 7078, 1422, 265, 6333, 4557, 4458, 6040, 16092, 267, 945, 14560, 3388, 827, 2230, 3408, 269, 2701, 22939, 1200, 1863, 942, 2542, 2835, 593, 17651, 543, 8384, 32026, 827, 9370, 887, 951, 269, 2290, 1554, 267, 1352, 25395, 602, 4589, 2328, 4241, 15923, 2835, 4481, 2966, 585, 3214, 5461, 538, 2257, 269, 7464, 1944, 602, 1352, 1932, 814, 513, 6612, 585, 3450, 1866, 827, 9018, 2230, 267, 16092, 16976, 547, 1376, 2324, 593, 1200, 1378, 1433, 2439, 1103, 3932, 267, 972, 616, 9118, 2081, 547, 4497, 609, 1603, 3564, 1175, 2757, 3594, 543, 5359, 269, 5664, 1153, 568, 519, 3501, 942, 547, 2253, 3695, 1114, 6163, 267, 12043, 267, 543, 12137, 1127, 269, 1924, 979, 6619, 910, 25793, 1662, 707, 5876, 543, 3605, 519, 7772, 540, 8220, 609, 707, 18653, 998, 1913, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22492, 1242, 543, 13395, 1603, 454, 1892, 20871, 543, 2200, 585, 1603, 12137, 1127, 610, 32258, 454, 1892, 16700, 3250, 10389, 1592, 902, 267, 9904, 673, 1931, 454, 1892, 10960, 25700, 5830, 3906, 454, 1892, 14825, 12067, 2046, 3906, 454, 1892, 14295, 3019, 1235, 267, 9644, 1603, 267, 13371, 1433, 5830, 267, 543, 635, 539, 2103, 454, 1892, 14295, 3019, 1235, 267, 1627, 261, 2026, 609, 454, 1892, 19992, 519, 14295, 3019, 626, 281, 717, 698, 5830, 543, 20419, 1309, 1632, 1235, 630, 2421, 8861, 654, 1716, 1157, 994, 1892, 5753, 781, 2835, 267, 5675, 543, 20515, 585, 4819, 26569, 454, 1892, 5753, 781, 2835, 827, 2257, 454, 1892, 5253, 543, 20892, 1603, 454, 1892, 12567, 5830, 543, 4677, 1603, 454, 1892, 13639, 5830, 630, 10175, 18884, 994, 1892, 16700, 3250, 10389, 2010, 540, 1603, 17254, 454, 1892, 8535, 543, 12372, 454, 1892, 8535, 20859, 543, 5152, 32392, 3906, 454, 1892, 30482, 5830, 454, 1892, 29277, 1603, 454, 1892, 11846, 19761, 454, 1892, 11846, 19761, 3906, 454, 1892, 13488, 1603, 454, 1892, 6936, 6760, 454, 1892, 6936, 6760, 2835, 454, 1892, 6936, 6760, 6760, 27143, 454, 1892, 27851, 945, 2328, 630, 663, 4108, 1603, 994, 1892, 8551, 543, 6965, 3906, 454, 1892, 14295, 9398, 267, 14676, 267, 30682, 267, 30841, 267, 8470, 2984, 267, 8642, 9089, 267, 9644, 267, 543, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 519, 476, 5002, 271, 338, 267, 972, 729, 513, 1895, 540, 1004, 945, 4941, 547, 1118, 2386, 602, 6690, 543, 8695, 941, 5701, 8449, 269, 1452, 1004, 941, 1572, 519, 2021, 781, 3350, 269, 1358, 5156, 602, 3025, 267, 1100, 2339, 952, 789, 941, 513, 8004, 610, 513, 7911, 267, 1058, 723, 519, 1482, 3255, 547, 1451, 267, 960, 267, 543, 581, 6126, 780, 4263, 602, 942, 267, 1082, 1919, 941, 1114, 982, 789, 616, 2221, 269, 1280, 1383, 267, 1152, 2367, 941, 4847, 547, 8917, 538, 12836, 269, 901, 5921, 602, 1271, 3664, 941, 1373, 1500, 1510, 6998, 519, 6644, 540, 2021, 269, 1809, 519, 2021, 781, 3350, 5249, 2182, 547, 1689, 713, 4341, 267, 865, 602, 5555, 267, 782, 4079, 941, 2111, 547, 5641, 741, 16018, 543, 3442, 945, 1131, 2099, 873, 780, 5194, 3364, 602, 729, 711, 4023, 1394, 1287, 729, 602, 930, 6009, 941, 1152, 1930, 547, 2367, 269, 6468, 7948, 1405, 1831, 23001, 16146, 267, 7128, 10492, 267, 610, 1256, 7189, 256, 1809, 12703, 2021, 4956, 547, 4339, 585, 741, 2924, 267, 543, 7444, 855, 15983, 267, 811, 543, 811, 11678, 2968, 2139, 547, 1312, 25469, 780, 1103, 3506, 1932, 267, 8695, 543, 6690, 4769, 1405, 2141, 1205, 3160, 2126, 269, 2368, 3610, 2219, 602, 1152, 8695, 2877, 547, 1353, 2257, 267, 2979, 267, 543, 2029, 269, 21989, 941, 9415, 547, 1445, 593, 5986, 267, 7738, 267, 543, 2921, 1416, 540, 9002, 3079, 269, 1717, 267, 5100, 2021, 6785, 602, 3025, 2640, 950, 649, 1451, 827, 1114, 5396, 267, 7488, 540, 938, 4008, 269, 1924, 267, 789, 18796, 1732, 1569, 547, 1585, 4610, 540, 1565, 780, 3086, 596, 1522, 4898, 875, 1945, 899, 13359, 1568, 269, 5994, 707, 544, 20207, 543, 546, 23098, 1616, 547, 6430, 1018, 7260, 547, 4585, 9522, 697, 269, 1403, 1152, 835, 1268, 4991, 547, 4584, 267, 2576, 786, 1439, 909, 29043, 269, 2334, 781, 1946, 621, 781, 1454, 1732, 952, 645, 30862, 3237, 666, 2285, 741, 8369, 1354, 1818, 513, 3375, 269, 966, 7627, 2337, 721, 798, 1175, 602, 1107, 1142, 1268, 8843, 741, 13283, 267, 543, 1927, 267, 649, 1265, 856, 1018, 1034, 1004, 1131, 2972, 8384, 269, 769, 6738, 5346, 1272, 267, 7446, 3401, 998, 13359, 5849, 602, 519, 2115, 543, 6499, 540, 6266, 540, 1004, 616, 2808, 780, 2791, 949, 849, 2243, 1946, 1978, 6009, 1031, 547, 581, 1055, 29438, 1080, 585, 2021, 269, 6056, 827, 4730, 10571, 5346, 282, 3006, 267, 596, 27642, 547, 581, 513, 4387, 267, 1247, 824, 2053, 596, 957, 899, 513, 27697, 269, 1635 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3403, 1152, 19610, 609, 1152, 835, 3977, 286, 589, 7299, 1899, 666, 12969, 513, 5858, 693, 811, 982, 835, 1448, 267, 865, 713, 3830, 568, 711, 513, 1599, 269, 1403, 865, 267, 596, 723, 513, 1599, 256, 11473, 17912, 1692, 1677, 14419, 1403, 589, 4039, 566, 1772, 589, 9577, 14351, 7221, 26940, 585, 596, 31209, 3905, 3584, 689, 519, 1357, 267, 17476, 267, 543, 21075, 543, 3986, 2560, 2201, 606, 722, 489, 343, 25991, 268, 25991, 344, 25991, 7852, 267, 519, 6389, 568, 6719, 593, 519, 722, 489, 343, 25991, 268, 9471, 630, 1817, 714, 7267, 7852, 264, 543, 519, 6389, 593, 519, 722, 489, 344, 25991, 268, 9471, 630, 3200, 673, 7852, 1040, 568, 513, 1259, 547, 3313, 952, 513, 6935, 568, 513, 1599, 269, 769, 2013, 540, 513, 1599, 267, 2328, 1524, 922, 2039, 269, 1703, 616, 606, 12808, 1297, 540, 2081, 547, 798, 713, 269, 14419, 2436, 513, 6935, 4564, 513, 1599, 269, 634, 6935, 568, 513, 1599, 1317, 1169, 6935, 568, 513, 1599, 267, 2094, 602, 781, 875, 1894, 616, 3989, 269, 769, 2489, 267, 513, 2078, 722, 489, 325, 25991, 263, 25991, 343, 25991, 264, 815, 722, 489, 344, 25991, 568, 513, 1599, 1152, 952, 267, 585, 1142, 1871, 540, 722, 489, 343, 25991, 602, 596, 11690, 883, 621, 267, 596, 1205, 1152, 835, 1871, 585, 722, 489, 344, 25991, 269, 589, 6935, 568, 513, 1599, 1152, 952, 621, 12211, 1142, 3693, 538, 922, 6389, 547, 1152, 835, 3693, 538, 519, 2039, 269, 2334, 568, 267, 1100, 3693, 540, 589, 814, 1079, 610, 811, 1114, 2592, 538, 645, 269, 2290, 1259, 568, 547, 5659, 519, 10288, 8424, 267, 543, 519, 824, 1259, 568, 547, 946, 519, 7299, 1899, 1449, 269, 1403, 621, 838, 527, 856, 2789, 2418, 540, 586, 267, 1287, 621, 1522, 581, 513, 2078, 267, 855, 621, 781, 711, 2469, 547, 581, 513, 1599, 269, 2422, 519, 7299, 1899, 1449, 547, 2697, 3252, 269, 2715, 263, 277, 267, 273, 1070, 11196, 276, 267, 273, 264, 630, 280, 267, 278, 1070, 630, 277, 267, 1321, 14587, 1411, 666, 1405, 723, 835, 3403, 11837, 547, 1079, 17016, 543, 1869, 581, 513, 1599, 269, 10576, 519, 3403, 2418, 269, 1284, 1289, 602, 519, 6389, 269, 2422, 519, 7299, 1899, 1449, 547, 2697, 3252, 269, 2334, 568, 267, 1100, 3693, 540, 589, 814, 1079, 610, 811, 1114, 2592, 538, 645, 269, 1403, 9039, 540, 519, 3403, 2418, 616, 7368, 267, 519, 6935, 568, 513, 1599, 269, 901, 10421, 1797, 602, 267, 952, 596, 3113, 513, 1599, 267, 596, 3112, 1265, 513, 7299, 1899, 602, 22613, 519, 3113, 538, 811, 982, 835, 1747, 269, 1403, 596, 1589, 827, 621, 267, 519, 7299, 1899, 1449, 568, 3274, 513, 1964, 622, 618, 540, 519, 4214, 540, 513, 1599, 269, 2334, 568, 267, 535, 815, 2715, 263, 343, 11971, 31206, 585, 782, 1535, 17995, 2473, 267, 586, 17995, 962, 7684, 269, 670, 8582, 9215, 595, 4047, 290, 298, 17692, 661, 21815, 23781, 9569, 4959, 589, 674, 7419, 290, 3582, 589, 6935, 535, 1063, 1079, 1875, 268, 24105, 5036, 2473, 543, 962, 568, 1572, 513, 1599, 689, 2473, 547, 962, 952, 267, 585, 1142, 1535, 17995, 2473, 972, 6818, 1152, 835, 586, 17995, 312, 971, 602, 630, 343, 267, 586, 264, 17995, 535, 269, 2334, 568, 267, 535, 815, 2715, 630, 343, 11971, 31206, 585, 782, 1535, 17995, 2473, 267, 586, 17995, 962, 7684, 269, 14572, 5276, 4834, 1210, 17594, 1505, 267, 14572, 5276, 4834, 1210, 18839, 1505, 267, 14572, 5276, 4834, 1210, 3444, 8691, 1505, 267, 14572, 13392, 4834, 676, 13392, 4542, 267, 14572, 13392, 4834, 676, 11264, 4009, 267, 7186, 540, 519, 5072, 540, 513, 13392, 4834, 267, 5681, 543, 1587, 540, 519, 5072, 540, 513, 13392, 4834, 267, 7388, 29232, 543, 24045, 4976, 267, 7388, 29232, 543, 24045, 2262, 2042, 4976, 267, 5681, 540, 519, 7285, 538, 513, 6906, 568, 476, 5197, 4110, 4976, 267, 7981, 1899, 12415, 538, 12730, 4976, 267, 1160, 1324, 25066, 9163, 4976, 267, 28065, 4834, 2262, 2042, 4976, 267, 20518, 5737, 3959, 540, 8691, 4976, 910, 594, 267, 20518, 5737, 3959, 540, 8691, 4976, 910, 4083, 267, 5675, 543, 10442, 7215, 4976, 267, 7186, 540, 519, 5072, 540, 513, 13392, 3830, 3211, 267, 14419, 952, 519, 2078, 568, 14354, 4976, 267, 26344, 6248, 12753, 540, 930, 1808, 7285, 267, 26344, 6248, 12753, 540, 930, 2942, 7285, 267, 26344, 6248, 12753, 540, 476, 3445, 4110, 14263, 23940, 267, 26344, 6248, 12753, 540, 476, 3445, 4110, 7132, 23940, 267, 26344, 6248, 12753, 540, 476, 5197, 4110, 7132, 23940, 267, 26344, 6248, 12753, 540, 476, 5197, 4110, 14263, 23940, 267, 26344, 6248, 12753, 540, 476, 17734, 4110, 14263, 23940, 267, 26344, 6248, 12753, 540, 476, 17734, 4110, 7132, 23940, 267, 26344, 6248, 12753, 540, 7285, 3152, 982, 610, 3160, 547, 476, 11740, 4110, 267, 26344, 6248, 12753, 540, 14911, 7285, 267, 26344, 6248, 12753, 540, 24045, 7285, 267, 23792, 543, 2039, 540, 25066, 3252, 267, 23792, 543, 2039, 540, 11201, 25066, 3252, 267, 5681, 540, 519, 5086, 538, 513, 6906, 568, 476, 5197, 4110, 267, 7756, 3029, 4834, 540, 2786, 3515, 267, 6478, 2042, 593, 1463, 8390, 543, 11201, 8390, 267, 7388, 29232, 543, 24045, 7285, 2262, 2042, 267, 6478, 2042, 593, 2040, 540, 519, 7285, 540, 513, 6906, 568, 476, 5197, 4110, 267, 23792, 543, 2039, 540, 7787, 3252, 609, 9475, 267, 20593, 1154, 18110, 17447, 538, 547, 8454, 267, 27252, 6041, 540, 7787, 2338, 267, 700, 5861, 8160, 1505, 547, 4194, 942, 543, 960, 2042, 267, 25927, 908, 519, 2262, 2042, 538, 547, 15821, 7215, 267, 3816, 664, 1457, 950, 476, 273, 1379, 476, 16348, 568, 5258, 676, 476, 1704, 267, 3816, 664, 1457, 950, 476, 1704, 1379, 476, 2537, 568, 5258, 676, 476, 1626, 267, 5681, 540, 782, 1614, 7857, 2338, 16883, 676, 476, 277, 267, 5681, 540, 782, 1614, 7857, 2338, 16883, 676, 476, 278, 267, 5681, 540, 782, 1614, 7857, 2338, 16883, 676, 476, 279, 267, 5681, 540, 782, 1614, 7857, 2338, 4646, 1210, 476, 272, 267, 476, 274, 267, 476, 275, 267, 5681, 540, 782, 1614, 2185, 7857, 2338, 4646, 609, 1875, 4642, 9704, 267, 5681, 540, 782, 1614, 2185, 7857, 2338, 4646, 1210, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 5681, 540, 782, 1614, 2185, 7857, 2338, 4646, 1210, 476, 272, 267, 476, 273, 267, 476, 276, 267, 476, 277, 267, 16544, 540, 18827, 543, 18527, 8018, 267, 670, 8582, 9215, 667, 4953, 2207, 300, 12114, 654, 4047, 8025, 2207, 5990, 23781, 9569, 4959, 589, 674, 7419, 290, 3582, 267, 2913, 2473, 815, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 20467, 14419, 2436, 513, 1599, 568, 835, 3562, 14633, 269, 7151, 281, 2015, 519, 3830, 1547, 763, 6389, 585, 568, 1547, 2690, 1022, 2073, 972, 568, 1152, 835, 1871, 540, 602, 2501, 856, 540, 519, 3830, 269, 1403, 1022, 8880, 1899, 12969, 338, 519, 3113, 811, 982, 2899, 267, 1287, 519, 3113, 1281, 711, 2099, 513, 835, 3562, 14633, 1599, 269, 2142, 1808, 609, 1018, 1281, 7933, 3996, 333, 1405, 1118, 513, 1599, 269, 1924, 713, 568, 513, 1599, 269, 9717, 513, 1592, 540, 8424, 540, 9981, 267, 3313, 952, 513, 6935, 568, 1098, 1438, 610, 711, 269, 898, 568, 267, 2705, 267, 711, 513, 1599, 269, 4855, 519, 1871, 540, 513, 1599, 269, 1403, 1022, 7299, 1899, 12969, 338, 519, 3113, 811, 982, 2899, 267, 1287, 519, 3113, 1281, 711, 2099, 513, 1599, 269, 1323, 3830, 568, 513, 1599, 952, 543, 1152, 952, 585, 1169, 1871, 540, 1535, 972, 568, 1152, 835, 7222, 1871, 585, 586, 269, 1215, 1684, 1411, 7612, 4934, 1403, 513, 4039, 566, 568, 513, 9577, 286, 4475, 585, 513, 1871, 1535, 540, 476, 280, 972, 616, 1079, 2009, 586, 2418, 2715, 274, 16427, 274, 9574, 4061, 586, 265, 344, 24210, 568, 711, 513, 1599, 269, 3571, 1603, 6227, 2257, 267, 2979, 543, 1753, 6454, 543, 1374, 267, 607, 1134, 607, 4984, 543, 519, 7259, 531, 7067, 6575, 269, 1403, 972, 568, 811, 982, 476, 272, 2009, 1871, 540, 585, 1022, 2073, 1287, 519, 3830, 568, 711, 513, 1599, 269, 2913, 2473, 815, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 9574, 962, 815, 2715, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 280, 20467, 14674, 1079, 2081, 547, 3313, 952, 513, 6935, 568, 513, 1599, 269, 12315, 2601, 585, 707, 2626, 269, 589, 1599, 27498, 1142, 3693, 538, 922, 6389, 609, 835, 543, 1152, 835, 3693, 538, 922, 2039, 269, 6496, 519, 1739, 6935, 2099, 513, 1599, 7790, 3557, 519, 6389, 543, 2039, 585, 519, 1739, 6935, 269, 8307, 513, 1880, 9352, 6935, 645, 593, 513, 1880, 1305, 590, 666, 581, 16846, 633, 267, 21136, 543, 1098, 1438, 269, 1215, 1684, 1411, 7612, 4934, 1403, 513, 4039, 566, 568, 513, 9577, 286, 1280, 513, 6935, 547, 581, 513, 1599, 267, 972, 1590, 581, 1152, 543, 4010, 835, 586, 602, 14687, 547, 513, 2560, 3852, 509, 3852, 507, 14267, 476, 271, 8786, 476, 1015, 476, 1015, 910, 1015, 268, 1280, 519, 6292, 540, 4632, 3313, 2436, 513, 568, 513, 1599, 540, 536, 267, 536, 568, 513, 1599, 540, 513, 267, 610, 9444, 269, 1772, 519, 6935, 2016, 676, 519, 1305, 540, 10288, 8424, 3254, 2630, 513, 1599, 286, 11512, 269, 1924, 538, 713, 2013, 267, 519, 6935, 3112, 734, 585, 713, 6935, 267, 586, 3112, 581, 6719, 607, 513, 6310, 1599, 540, 1535, 269, 11512, 875, 519, 7299, 1899, 1449, 568, 1031, 547, 3313, 2436, 513, 3113, 4564, 513, 1599, 269, 634, 1599, 4341, 595, 284, 271, 269, 736, 332, 266, 5611, 269, 876, 6257, 519, 2078, 1063, 519, 1297, 540, 5195, 9141, 544, 543, 519, 2698, 1942, 595, 269, 1403, 1547, 901, 1568, 585, 782, 5276, 4834, 543, 2362, 27703, 4834, 538, 799, 1152, 519, 1535, 2165, 568, 6659, 547, 606, 20800, 269, 589, 1599, 568, 513, 6935, 602, 3651, 338, 547, 1142, 3693, 538, 922, 6389, 4010, 835, 3693, 538, 519, 2039, 269, 16186, 540, 535, 815, 2715, 268, 272, 267, 476, 273, 267, 910, 274, 267, 910, 275, 20467, 535, 815, 2715, 630, 272, 267, 1107, 272, 1070, 630, 275, 267, 476, 273, 1070, 630, 280, 267, 1107, 274, 1070, 630, 1626, 267, 1107, 275, 14587, 8827, 2433, 23792, 540, 535, 815, 2715, 272, 267, 476, 275, 267, 476, 280, 267, 476, 1626, 348, 815, 589, 269, 14419, 2436, 513, 6935, 4564, 513, 1599, 269, 744, 3689, 3313, 952, 519, 6935, 568, 513, 1599, 282, 1287, 1294, 952, 1142, 3403, 14687, 547, 835, 2189, 3977, 269, 1924, 586, 24210, 20080, 568, 513, 1599, 855, 586, 265, 344, 24210, 568, 711, 1317, 910, 274, 265, 268, 274, 815, 476, 280, 543, 865, 1281, 476, 274, 265, 274, 269, 901, 1797, 602, 1142, 7299, 1899, 596, 2721, 998, 519, 722, 489, 343, 25991, 268, 9471, 666, 12969, 519, 1599, 693, 1152, 835, 1448, 269, 25826, 2436, 519, 6935, 2016, 2630, 568, 513, 1599, 689, 2473, 547, 2473, 269, 1403, 267, 607, 2473, 4679, 676, 476, 272, 267, 962, 4679, 676, 513, 3586, 2557, 267, 1287, 513, 3349, 568, 5276, 269, 10318, 1456, 2436, 513, 6935, 568, 513, 1599, 3322, 1818, 2386, 602, 585, 1169, 3403, 972, 568, 1152, 835, 3977, 269, 901, 3113, 10596, 519, 7299, 1899, 1449, 543, 568, 4061, 513, 1599, 269, 12810, 595, 269, 3502, 513, 1599, 12810, 595, 269, 568, 519, 2953, 11837, 585, 713, 6935, 269, 2201, 519, 824, 1688, 267, 6935, 1948, 273, 814, 29375, 302, 3982, 586, 2418, 1412, 320, 262, 543, 1412, 322, 262, 585, 519, 1482, 1535, 1871, 540, 1412, 276, 262, 1547, 1411, 1223, 1305, 909, 519, 6935, 607, 513, 3349, 540, 10288, 8424, 269, 1635, 4214, 267, 513, 1599, 12211, 1142, 3693, 538, 519, 6389, 547, 1152, 835, 3693, 538, 519, 2039, 269, 7151, 7726, 1948, 274, 2433, 14419, 1403, 589, 4039, 566, 1772, 589, 9577, 6333, 513, 1920, 9967, 540, 513, 1079, 3237, 267, 20844, 543, 744, 802, 3570, 267, 543, 741, 20766, 1520, 686, 3570, 543, 700, 6545, 14741, 269, 589, 6935, 535, 1063, 1079, 1875, 268, 24105, 5036, 2473, 543, 962, 568, 1572, 513, 1599, 689, 2473, 547, 962, 952, 267, 585, 1142, 1535, 17995, 2473, 972, 6818, 1152, 835, 586, 17995, 962, 971, 602, 630, 343, 267, 586, 264, 17995, 535, 1547, 1403, 1142, 1535, 17032, 814, 1152, 835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5843, 20953, 8926, 1772, 565, 730, 609, 2051, 984, 5448, 454, 268, 744, 4788, 2051, 984, 5448, 454, 268, 772, 557, 648, 339, 1400, 2051, 984, 5448, 0, 763, 5842, 17630, 4993, 13527, 568, 519, 476, 3393, 628, 6131, 11454, 540, 634, 5783, 540, 4906, 2441, 540, 700, 2660, 28233, 29513, 538, 5106, 563, 763, 5842, 17630, 13527, 568, 3710, 1318, 1055, 519, 1863, 3118, 543, 568, 513, 1134, 1634, 19506, 585, 519, 1004, 538, 5842, 17630, 563, 763, 16413, 540, 519, 5842, 17630, 13527, 267, 667, 12447, 543, 17125, 569, 5754, 526, 2006, 1767, 789, 968, 342, 5896, 547, 1711, 513, 7299, 10325, 547, 21843, 606, 10841, 3290, 4724, 13140, 1848, 1358, 12913, 713, 676, 1210, 18632, 4778, 693, 519, 5377, 540, 519, 13527, 543, 561, 16146, 4778, 607, 789, 979, 909, 998, 519, 3774, 4778, 543, 519, 24095, 4778, 269, 1358, 3893, 713, 2856, 689, 519, 17865, 8235, 13527, 543, 519, 6115, 667, 5861, 269, 13527, 269, 634, 5754, 526, 2006, 779, 616, 711, 2818, 540, 519, 5783, 267, 855, 616, 4936, 23597, 543, 1223, 711, 4663, 824, 17633, 1991, 547, 8888, 519, 5842, 17630, 13527, 267, 855, 789, 941, 2111, 547, 979, 998, 519, 20098, 30988, 13527, 1991, 547, 922, 11428, 563, 763, 1401, 10262, 540, 519, 13527, 568, 1500, 689, 18899, 13365, 538, 29147, 563, 763, 5842, 17630, 13527, 568, 476, 7761, 267, 1822, 4009, 3952, 543, 568, 476, 1220, 3952, 7381, 563, 763, 14262, 729, 2944, 676, 5518, 26442, 571, 570, 10762, 645, 21672, 593, 5988, 476, 2767, 267, 476, 2735, 279, 269, 634, 14262, 5949, 4166, 1310, 519, 22445, 1185, 513, 2295, 4323, 543, 789, 1705, 711, 3364, 646, 1131, 581, 2111, 547, 2097, 547, 519, 14262, 563, 763, 29513, 538, 8828, 4993, 543, 519, 29513, 538, 8832, 6792, 8329, 547, 519, 2679, 540, 519, 5842, 17630, 13527, 269, 634, 4993, 29513, 5280, 609, 30120, 269, 634, 3119, 1453, 5280, 1416, 585, 543, 1216, 519, 2371, 269, 634, 3119, 1453, 538, 6792, 1500, 1688, 8154, 539, 24821, 585, 519, 3689, 3465, 19409, 547, 1796, 593, 607, 789, 9788, 519, 22294, 263, 6011, 20036, 568, 602, 26834, 1040, 589, 29370, 7865, 609, 519, 4408, 540, 519, 12729, 1453, 538, 519, 11454, 8664, 729, 2663, 5116, 538, 519, 22294, 563, 763, 21024, 26442, 571, 570, 10762, 645, 21672, 729, 711, 2111, 547, 4142, 6510, 519, 13527, 1317, 540, 1010, 17528, 1072, 543, 646, 2366, 23583, 645, 269, 670, 514, 1188, 2917, 547, 4142, 6510, 519, 13527, 593, 4989, 476, 1839, 268, 1789, 476, 1960, 274, 563, 2691, 519, 24234, 5651, 18223, 18533, 729, 1373, 5116, 593, 519, 1283, 540, 519, 11454, 593, 5412, 476, 2537, 267, 476, 1960, 272, 513, 26600, 540, 694, 698, 1638, 338, 267, 630, 320, 6177, 540, 12572, 2956, 538, 519, 5783, 264, 4963, 743, 539, 519, 1007, 19664, 5651, 18223, 1614, 2053, 543, 1287, 4797, 593, 741, 1259, 563, 8448, 18248, 24762, 912, 8448, 23089, 547, 16731, 912, 300, 768, 517, 15506, 30119, 6250, 6002, 4741, 454, 892, 307, 655, 1255, 540, 519, 1715, 7085, 3317, 1756, 892, 676, 932, 611, 590, 269, 8316, 9469, 630, 335, 269, 10844, 268, 11152, 264, 0, 288, 18234, 700, 1456, 454, 30706, 4898, 875, 14368, 5505, 666, 8308, 3589, 519, 4365, 286, 1358, 946, 1950, 6310, 4834, 602, 3950, 519, 20517, 540, 519, 5790, 998, 942, 543, 2230, 543, 9192, 873, 609, 19670, 1239, 12535, 689, 4365, 10473, 543, 15408, 563, 3086, 267, 513, 1007, 1353, 3370, 676, 1291, 4589, 18238, 918, 739, 601, 747, 267, 513, 7548, 538, 519, 14151, 3557, 2160, 3427, 540, 19556, 543, 18926, 7070, 267, 543, 4460, 2776, 592, 267, 609, 519, 4446, 992, 27096, 673, 4659, 267, 814, 5462, 602, 519, 6310, 12191, 1031, 547, 15849, 30968, 1239, 585, 4365, 20925, 1223, 581, 1031, 547, 3589, 519, 3262, 540, 2634, 12970, 1107, 543, 711, 1175, 538, 2634, 2860, 267, 855, 849, 538, 824, 11871, 543, 3676, 269, 1358, 8359, 547, 1353, 1350, 328, 984, 18431, 5448, 1617, 6134, 324, 267, 513, 23872, 2634, 2860, 563, 2108, 15987, 960, 3788, 1354, 938, 1935, 666, 581, 12517, 2808, 538, 4791, 5468, 267, 606, 4977, 9472, 1062, 540, 1350, 328, 984, 18431, 5448, 949, 6961, 3730, 585, 2126, 4058, 543, 3461, 13508, 2223, 2776, 592, 1767, 563, 22154, 960, 609, 3220, 269, 2776, 592, 543, 1010, 1895, 10905, 519, 9342, 540, 6789, 308, 779, 3427, 540, 19556, 543, 18926, 3163, 779, 12200, 538, 22357, 6384, 267, 11626, 2257, 543, 6310, 7350, 609, 519, 1158, 11665, 4791, 543, 8047, 7207, 540, 519, 4446, 992, 27096, 673, 4659, 2223, 918, 739, 601, 747, 1767, 563, 17606, 779, 3078, 602, 15834, 13753, 666, 1291, 547, 3209, 1382, 8846, 267, 543, 594, 993, 18507, 602, 6789, 308, 7512, 891, 5686, 540, 21769, 3034, 1700, 20152, 595, 9567, 4861, 267, 6789, 308, 5441, 540, 27565, 8551, 543, 3163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 9174, 888, 8196, 995, 9669, 547, 5700, 1879, 29879, 570, 8463, 454, 2005, 781, 606, 4316, 547, 1205, 547, 917, 543, 1020, 606, 12705, 540, 9174, 676, 1210, 782, 707, 12823, 267, 689, 9329, 547, 6492, 269, 3371, 616, 930, 4388, 593, 875, 547, 979, 827, 9174, 512, 8463, 563, 9596, 519, 3203, 540, 4210, 26325, 454, 18933, 26325, 519, 4837, 3884, 1405, 1945, 602, 781, 2944, 547, 1413, 16681, 269, 898, 2337, 596, 1732, 9329, 519, 9174, 543, 2697, 1114, 4967, 1317, 621, 13847, 811, 9174, 24710, 7135, 883, 519, 2011, 563, 16100, 585, 16930, 4469, 822, 832, 2755, 570, 8463, 454, 2691, 6704, 267, 10359, 707, 5023, 609, 835, 3677, 521, 760, 540, 9174, 4553, 676, 1896, 4130, 3283, 2094, 713, 666, 948, 596, 20586, 1808, 10366, 269, 1280, 1383, 267, 952, 596, 2811, 512, 8463, 513, 3638, 2699, 18397, 9174, 267, 596, 2811, 2693, 547, 1205, 513, 2489, 6492, 540, 4158, 5613, 543, 1287, 1808, 4967, 540, 1367, 5613, 899, 3109, 9440, 267, 4158, 22269, 267, 610, 20034, 563, 21982, 4967, 568, 1271, 538, 9174, 512, 8463, 267, 2523, 952, 596, 616, 513, 1469, 268, 10849, 612, 539, 1268, 269, 5213, 1405, 5855, 952, 596, 2811, 1007, 547, 9174, 512, 8463, 543, 1745, 19531, 730, 676, 1346, 945, 616, 811, 4810, 563, 28097, 707, 4606, 827, 519, 9174, 267, 971, 607, 519, 6492, 267, 24710, 267, 543, 5023, 10623, 601, 269, 1452, 2609, 3565, 547, 707, 2949, 9174, 1995, 563, 1692, 547, 21541, 2659, 6022, 622, 454, 8196, 513, 4676, 1441, 18500, 454, 2252, 596, 1616, 547, 3280, 899, 596, 917, 1018, 596, 2811, 6158, 827, 1247, 512, 8463, 9174, 267, 621, 781, 782, 827, 707, 6863, 269, 7490, 24559, 3054, 609, 782, 519, 1898, 2474, 4478, 9174, 543, 1451, 873, 1134, 269, 898, 786, 849, 948, 596, 1174, 1018, 519, 1474, 17745, 1512, 3056, 519, 512, 8463, 6941, 563, 21607, 2659, 15232, 883, 9293, 454, 25444, 4422, 9174, 512, 8463, 585, 519, 9174, 3294, 267, 855, 1810, 1405, 1175, 1524, 519, 2898, 4837, 607, 4166, 607, 519, 9174, 568, 23953, 883, 621, 269, 5502, 267, 1491, 1507, 521, 2354, 267, 1589, 827, 1018, 596, 2811, 512, 8463, 543, 1159, 2454, 267, 543, 4766, 519, 1995, 609, 707, 4121, 2474, 563, 7804, 1074, 2859, 29879, 454, 2252, 596, 1616, 547, 1451, 875, 547, 3280, 899, 513, 1474, 17745, 1512, 267, 596, 723, 547, 4235, 811, 9174, 269, 32449, 3054, 513, 4837, 609, 707, 12129, 543, 979, 998, 519, 512, 8463, 4967, 563, 2690, 811, 1344, 593, 875, 547, 6492, 9174, 543, 1020, 707, 31370, 267, 5225, 1294, 519, 1739, 3381, 912, 1103, 713, 3381, 267, 596, 3513, 1451, 875, 547, 5265, 2220, 20071, 267, 9329, 267, 543, 6492, 519, 9174, 865, 602, 596, 666, 1205, 519, 1034, 856, 540, 1169, 4837, 563, 310, 710, 568, 811, 982, 1175, 513, 20892, 269, 898, 781, 606, 1995, 4502, 5260, 1681, 543, 19825, 585, 922, 10848, 269, 1411, 616, 865, 1136, 909, 519, 3094, 655, 6033, 781, 2182, 960, 543, 20174, 609, 1142, 521, 760, 563, 2791, 3513, 5660, 9174, 593, 513, 2898, 1007, 1377, 2899, 596, 1174, 519, 2219, 543, 4674, 602, 4422, 883, 1169, 11480, 269, 9105, 519, 1474, 17745, 1512, 1018, 2306, 1142, 9174, 2189, 519, 1985, 942, 596, 2811, 693, 513, 9174, 512, 8463, 269, 5808, 6487, 267, 596, 1522, 1439, 909, 4742, 513, 598, 7224, 23579, 584, 3054, 256, 0, 9617, 1018, 16530, 12810, 888, 288, 1007, 11443, 6516, 568, 513, 2241, 3308, 6041, 538, 519, 2168, 4296, 543, 2168, 11768, 540, 519, 5122, 1062, 610, 5547, 269, 898, 15225, 875, 519, 5122, 12904, 616, 4448, 609, 1142, 824, 543, 666, 849, 4159, 1141, 26892, 7132, 2609, 949, 1831, 5532, 585, 519, 1982, 563, 2691, 543, 1215, 547, 14146, 513, 16530, 16514, 2422, 11443, 23039, 29251, 547, 4217, 538, 2679, 610, 2504, 519, 5547, 610, 5310, 2780, 269, 1358, 616, 2356, 849, 3730, 585, 1818, 18203, 563, 294, 553, 30166, 864, 16530, 12810, 454, 14888, 312, 12439, 946, 9348, 1782, 12222, 855, 789, 616, 2356, 849, 1455, 1369, 1753, 2679, 7132, 10081, 7816, 269, 2060, 2543, 547, 1383, 267, 513, 2777, 32063, 786, 1616, 547, 6166, 519, 2168, 4087, 540, 5122, 19093, 7132, 1769, 26892, 1210, 513, 11443, 6516, 538, 1931, 547, 2057, 14427, 6959, 543, 2679, 2780, 3009, 19374, 563, 1692, 538, 1931, 547, 8571, 513, 18065, 16514, 12829, 19352, 786, 2097, 609, 840, 13402, 5122, 11443, 6516, 17074, 269, 9608, 1125, 7366, 540, 5122, 6698, 543, 3533, 6749, 873, 609, 707, 11443, 6516, 269, 16930, 1852, 20362, 827, 1142, 3090, 1577, 596, 3533, 759, 1125, 610, 1256, 17967, 873, 607, 2838, 563, 2414, 2721, 519, 5911, 267, 3274, 4945, 593, 519, 8571, 681, 5190, 4781, 593, 3335, 519, 2451, 1688, 851, 540, 519, 5373, 1858, 269, 1403, 513, 1268, 1318, 4945, 593, 519, 1899, 267, 596, 1223, 5372, 519, 1899, 781, 2681, 610, 11098, 543, 1039, 610, 9004, 15561, 21650, 607, 2556, 269, 29553, 513, 3090, 5196, 519, 1899, 538, 1840, 547, 621, 786, 2322, 538, 3294, 543, 4945, 883, 1747, 269, 4495, 4448, 267, 621, 949, 2611, 4448, 1256, 950, 596, 1847, 519, 5911, 563, 2252, 596, 991, 3606, 900, 21793, 267, 4945, 593, 519, 15561, 1985, 547, 519, 6654, 32562, 547, 3142, 20733, 513, 2887, 1426, 5542, 543, 2824, 4634, 811, 269, 1411, 3513, 581, 538, 513, 2990, 547, 3406, 3823, 3606, 6698, 538, 1840, 547, 1930, 1022, 1644, 8021, 563, 12812, 827, 5590, 7412, 670, 3591, 538, 519, 12829, 32292, 601, 547, 1397, 610, 12404, 1899, 554, 3591, 693, 31832, 20108, 2188, 269, 1411, 949, 849, 1689, 3335, 519, 2450, 543, 2783, 540, 707, 4015, 554, 3591, 269, 8564, 23227, 622, 17435, 5014, 547, 1397, 519, 2450, 540, 707, 5911, 4296, 610, 2450, 540, 707, 5057, 563, 9617, 875, 568, 513, 15379, 11443, 12810, 7756, 4947, 689, 513, 2480, 11490, 888, 288, 28176, 2982, 519, 1880, 1544, 543, 2773, 609, 2543, 547, 606, 5122, 5547, 267, 855, 568, 711, 7255, 609, 3335, 519, 2168, 11768, 689, 519, 12904, 269, 16530, 12222, 1397, 875, 519, 1880, 12904, 616, 7923, 543, 1141, 789, 786, 1058, 4092, 538, 519, 1880, 3926, 267, 543, 849, 519, 4890, 2168, 4296, 1063, 3592, 782, 519, 3334, 563, 1692, 521, 513, 16530, 4643, 7756, 689, 519, 11625, 3645, 12810, 286, 769, 4334, 547, 513, 3182, 3645, 4605, 267, 513, 11443, 1544, 3096, 7493, 610, 5310, 16866, 5546, 543, 3515, 547, 6542, 3334, 269, 11625, 3645, 12222, 616, 1419, 2592, 2059, 609, 10297, 610, 3810, 1673, 564, 9229, 12400, 540, 519, 2168, 3334, 563, 24092, 16530, 12810, 2506, 21793, 1403, 519, 1899, 10296, 1776, 1899, 2488, 513, 3109, 8257, 540, 6283, 267, 621, 1797, 519, 1880, 3515, 616, 5532, 269, 1879, 796, 8588, 9832, 616, 3254, 21986, 532, 267, 596, 3513, 1294, 519, 1899, 5577, 269, 0, 2791, 3580, 991, 547, 1491, 11216, 547, 2312, 909, 606, 3968, 538, 513, 7326, 5694, 269, 1411, 949, 991, 547, 1491, 713, 693, 2547, 513, 3018, 1354, 2348, 519, 4299, 5694, 30465, 610, 6569, 269, 25095, 7821, 948, 547, 12115, 606, 7783, 5694, 543, 2061, 4551, 689, 10825, 563, 3963, 568, 972, 10669, 4947, 856, 540, 1250, 7326, 5694, 888, 7312, 7326, 5694, 568, 13148, 4988, 676, 519, 6712, 540, 707, 10733, 269, 1924, 602, 6712, 814, 4646, 513, 1507, 17927, 538, 799, 519, 1426, 543, 4551, 616, 2348, 513, 1434, 5428, 4061, 6721, 10669, 269, 9282, 596, 616, 711, 7680, 1928, 1631, 267, 596, 1058, 1205, 621, 13761, 689, 513, 11290, 543, 1205, 519, 991, 995, 2126, 2944, 563, 4692, 7326, 5694, 3968, 979, 2476, 593, 922, 1378, 888, 288, 5634, 7326, 5694, 3968, 949, 979, 2476, 593, 922, 1378, 1369, 513, 1906, 2395, 269, 769, 519, 29291, 267, 513, 1268, 666, 1491, 936, 7308, 23716, 1928, 8323, 6646, 267, 971, 607, 21449, 3133, 641, 1156, 630, 307, 2643, 523, 565, 264, 610, 16481, 1575, 19745, 523, 630, 18770, 559, 1040, 16792, 1022, 1928, 8323, 6646, 593, 610, 2282, 519, 5694, 666, 2014, 3441, 267, 865, 621, 568, 1655, 547, 2057, 713, 563, 1432, 666, 596, 798, 585, 606, 7783, 7326, 5694, 888, 32381, 540, 2436, 610, 711, 596, 3442, 6391, 267, 596, 1058, 1869, 3643, 513, 5959, 3318, 952, 596, 1589, 596, 723, 513, 7326, 5694, 3968, 269, 769, 519, 29291, 267, 596, 666, 946, 606, 4672, 3640, 547, 2569, 11926, 267, 27125, 609, 6070, 4248, 267, 610, 1491, 930, 936, 7308, 23716, 1928, 17212, 951, 971, 607, 16481, 1575, 19745, 523, 610, 29469, 563, 4692, 7326, 4522, 2014, 10669, 538, 14779, 888, 763, 7783, 10733, 5160, 4478, 519, 7326, 5694, 949, 6445, 609, 10669, 282, 607, 713, 10669, 694, 10134, 856, 883, 519, 5023, 267, 621, 666, 2014, 3983, 7362, 543, 606, 18473, 6492, 269, 24953, 6070, 1216, 32092, 525, 666, 17303, 13468, 891, 2589, 267, 855, 789, 1590, 581, 9619, 676, 707, 5711, 18874, 563, 9989, 10669, 1611, 606, 3968, 888, 303, 639, 568, 513, 1129, 540, 3968, 269, 623, 639, 1310, 6391, 6920, 602, 972, 568, 513, 2022, 1606, 17790, 28658, 538, 519, 1106, 540, 606, 3968, 269, 4658, 945, 3713, 513, 11166, 540, 10669, 1739, 6391, 1058, 2995, 741, 4387, 5612, 269, 769, 513, 3461, 609, 18604, 12046, 267, 519, 1062, 949, 711, 4431, 7157, 563, 1692, 1279, 1281, 7326, 4522, 3968, 2063, 888, 2026, 513, 4341, 267, 5312, 2589, 1152, 2063, 585, 835, 610, 1079, 2395, 855, 666, 9888, 936, 513, 1974, 540, 1896, 3275, 269, 2201, 519, 14669, 267, 8650, 2589, 666, 2063, 585, 1614, 610, 2185, 2395, 543, 949, 1331, 281, 4210, 2454, 593, 519, 4299, 2427, 540, 519, 3068, 563, 4692, 594, 1402, 606, 26252, 593, 1250, 10733, 888, 2710, 711, 3801, 547, 25837, 610, 1402, 519, 26252, 563, 2171, 917, 621, 568, 15673, 532, 547, 968, 3698, 17218, 892, 519, 29424, 602, 10953, 593, 519, 14779, 950, 596, 723, 513, 5694, 26252, 269, 634, 1966, 568, 602, 950, 596, 25837, 610, 1402, 519, 26252, 267, 596, 2965, 6338, 1256, 811, 4551, 883, 519, 3968, 269, 23680, 621, 4805, 2336, 1432, 666, 594, 3548, 609, 606, 7783, 7326, 5694, 888, 15933, 338, 2334, 6435, 4039, 10079, 29392, 5995, 454, 268, 595, 2714, 720, 10381, 563, 268, 631, 14414, 12277, 563, 268, 9941, 5613, 563, 268, 717, 601, 11294, 267, 30077, 902, 267, 543, 8169, 1841, 563, 268, 3911, 26743, 625, 543, 2113, 802, 327, 1389, 563, 268, 7102, 2571, 1426, 602, 3884, 1406, 1932, 3636, 6862, 1932, 4411, 563, 1692, 798, 596, 8963, 513, 5694, 26252, 693, 1753, 888, 1692, 547, 8963, 513, 10733, 26252, 693, 1753, 888, 268, 6428, 710, 27125, 281, 1411, 666, 979, 585, 513, 27125, 609, 29649, 1079, 547, 1614, 2053, 513, 1554, 563, 268, 744, 12839, 11955, 281, 6693, 268, 681, 20600, 609, 7250, 25681, 543, 1216, 281, 6693, 268, 681, 20600, 609, 11256, 14614, 267, 6070, 267, 543, 1216, 281, 6693, 268, 12019, 13496, 281, 6693, 268, 6182, 785, 13342, 13594, 593, 519, 4299, 1858, 912, 3674, 7326, 5694, 7783, 888, 25842, 539, 7326, 4522, 1810, 1406, 2141, 2014, 2589, 269, 1717, 267, 950, 606, 12936, 7326, 5694, 3587, 7783, 267, 14796, 824, 4522, 610, 3123, 824, 5959, 2042, 267, 596, 949, 1995, 930, 540, 891, 4191, 610, 2589, 281, 4414, 610, 22224, 14779, 269, 570, 2658, 610, 11702, 14779, 269, 0, 763, 2136, 8315, 589, 1749, 3919, 814, 607, 540, 1631, 1558, 741, 6662, 540, 3478, 7486, 2126, 547, 476, 1428, 2929, 2043, 1354, 519, 1439, 540, 476, 1001, 276, 563, 763, 6662, 729, 8737, 538, 4728, 267, 799, 568, 8370, 3275, 538, 4395, 540, 11706, 267, 543, 3217, 1310, 8717, 1279, 5001, 18129, 543, 14679, 547, 1205, 1884, 790, 339, 22201, 12637, 6527, 547, 2043, 538, 991, 267, 519, 18917, 4080, 563, 7419, 589, 1749, 20114, 602, 2094, 519, 8536, 1296, 267, 476, 1789, 2929, 1007, 7486, 3676, 543, 3592, 5216, 2929, 589, 1749, 5829, 1780, 902, 723, 1044, 5828, 2476, 267, 1007, 7486, 8764, 725, 723, 512, 14217, 689, 476, 273, 269, 277, 2929, 585, 1142, 1032, 547, 476, 272, 269, 279, 2929, 267, 543, 589, 1749, 5829, 1780, 902, 8854, 1524, 689, 476, 272, 269, 277, 2929, 547, 476, 272, 269, 273, 2929, 563, 1320, 528, 965, 2534, 2429, 519, 1739, 2947, 1296, 1223, 1439, 519, 11641, 559, 775, 676, 476, 10711, 271, 267, 3769, 6167, 589, 1749, 563, 1103, 519, 954, 574, 267, 5001, 1719, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4263, 7434, 674, 2320, 20746, 630, 288, 6363, 756, 264, 1107, 23369, 267, 9615, 267, 543, 1290, 4124, 454, 16352, 2311, 7434, 674, 2320, 20746, 630, 288, 6363, 756, 264, 666, 581, 513, 14042, 2783, 267, 855, 972, 616, 2126, 3681, 585, 713, 2783, 269, 769, 713, 2376, 267, 649, 3580, 1865, 519, 5868, 267, 2126, 3681, 267, 543, 8374, 540, 713, 2783, 563, 21618, 540, 589, 6363, 756, 1331, 21994, 267, 9854, 267, 543, 7411, 7244, 269, 10705, 267, 891, 2589, 2049, 1510, 9963, 269, 1403, 789, 2049, 14578, 267, 596, 949, 991, 547, 581, 5701, 585, 693, 7434, 27417, 20746, 563, 288, 5868, 540, 693, 7434, 27417, 20746, 568, 1500, 1210, 606, 6850, 15258, 328, 6945, 630, 4488, 294, 1040, 1323, 10566, 294, 568, 606, 5122, 10916, 540, 707, 26470, 269, 898, 666, 581, 2944, 538, 519, 4387, 779, 5604, 610, 693, 1753, 563, 2414, 13209, 693, 7434, 27417, 20746, 267, 7189, 786, 2307, 596, 827, 707, 2564, 1686, 543, 2589, 269, 1358, 786, 849, 2638, 707, 2295, 779, 2557, 543, 11733, 563, 763, 4387, 949, 849, 1931, 1973, 4255, 269, 1452, 4255, 666, 948, 3313, 2436, 596, 723, 824, 1072, 2175, 602, 949, 581, 7700, 547, 589, 6363, 756, 269, 1358, 666, 849, 948, 519, 4387, 2824, 519, 1655, 4915, 563, 288, 4387, 949, 849, 21559, 6527, 602, 666, 1852, 707, 2295, 2557, 269, 1452, 6527, 666, 948, 2061, 1973, 28163, 689, 8108, 538, 707, 16209, 267, 543, 789, 666, 849, 2539, 519, 1981, 540, 8482, 563, 7312, 4387, 949, 849, 4363, 602, 596, 10929, 29259, 705, 3175, 267, 513, 5650, 602, 3322, 21006, 513, 1507, 1858, 540, 2295, 5160, 269, 901, 5650, 786, 19268, 707, 2295, 779, 3339, 11733, 563, 7312, 4387, 949, 849, 4363, 602, 596, 1205, 513, 4591, 614, 6895, 269, 901, 3926, 568, 12816, 585, 909, 547, 513, 3018, 269, 898, 2882, 8596, 602, 1921, 547, 513, 3926, 602, 596, 5957, 593, 707, 13105, 588, 1905, 563, 4263, 7434, 27417, 20746, 666, 581, 5701, 609, 6646, 543, 6391, 269, 898, 666, 849, 581, 6417, 998, 6197, 2242, 269, 1452, 1331, 4227, 4568, 4616, 543, 2566, 269, 1411, 949, 849, 991, 547, 2119, 1896, 5574, 1354, 4466, 519, 1318, 835, 585, 596, 563, 1103, 930, 2665, 267, 693, 7434, 27417, 20746, 786, 979, 2476, 593, 922, 1378, 269, 1717, 267, 519, 4524, 568, 1360, 3978, 543, 666, 2333, 707, 1981, 540, 3384, 2295, 5821, 543, 8482, 269, 898, 568, 1271, 547, 723, 707, 5868, 5701, 3533, 547, 2061, 3978, 2564, 8374, 563, 306, 17790, 543, 1875, 1606, 17790, 5574, 616, 2139, 585, 693, 7434, 27417, 20746, 269, 1452, 5574, 786, 4268, 4470, 593, 519, 10335, 540, 519, 2783, 543, 5817, 1072, 2175, 563, 763, 3804, 540, 693, 7434, 27417, 20746, 2126, 568, 547, 3339, 1125, 519, 2295, 2557, 543, 6175, 519, 1981, 540, 8482, 269, 2659, 10629, 786, 1865, 519, 2126, 3681, 609, 596, 269, 2368, 540, 519, 5574, 4125, 6646, 269, 14640, 268, 1551, 15219, 6193, 6527, 616, 1419, 1031, 547, 1852, 519, 2295, 2557, 543, 2569, 519, 1981, 540, 8482, 269, 1717, 267, 789, 616, 1152, 2500, 476, 1789, 547, 476, 2568, 2600, 540, 519, 942, 563, 306, 17790, 5574, 949, 1331, 1930, 13463, 691, 6391, 610, 28618, 6391, 269, 13880, 673, 705, 3175, 3322, 5969, 1507, 9475, 538, 519, 5580, 20830, 540, 519, 2295, 547, 3625, 9402, 5122, 11387, 269, 4033, 23361, 1331, 6391, 547, 7816, 14524, 531, 2295, 17901, 563, 763, 1101, 1900, 540, 2126, 568, 547, 1265, 856, 1018, 3361, 707, 693, 7434, 27417, 20746, 269, 901, 568, 2944, 676, 7900, 606, 20192, 18201, 328, 6945, 610, 2566, 1449, 269, 1323, 20192, 18201, 328, 6945, 568, 513, 1449, 602, 3096, 3280, 6329, 547, 1711, 2592, 540, 519, 2295, 269, 589, 2566, 1449, 3322, 4881, 4255, 593, 519, 2295, 1247, 596, 3635, 563, 4263, 7434, 27417, 20746, 568, 513, 2783, 602, 5540, 6634, 540, 1004, 538, 519, 2136, 2276, 269, 898, 568, 3361, 676, 9402, 5122, 20590, 538, 2127, 540, 519, 2295, 602, 1921, 547, 519, 2451, 693, 8922, 269, 2368, 1004, 949, 711, 1995, 1022, 2589, 540, 693, 7434, 27417, 20746, 267, 1247, 1866, 949, 723, 3875, 14501, 540, 7192, 756, 269, 2279, 756, 666, 1267, 538, 18116, 267, 2295, 5821, 267, 543, 9854, 563, 12901, 4815, 698, 592, 656, 6527, 616, 1031, 547, 2061, 1973, 28163, 538, 519, 15532, 269, 10552, 28163, 666, 3625, 606, 16050, 538, 519, 2634, 267, 4929, 513, 8482, 269, 4165, 4815, 698, 592, 1218, 616, 1419, 2016, 585, 1614, 547, 2185, 4374, 1354, 28491, 11437, 269, 1403, 28491, 11437, 568, 3811, 267, 1884, 4815, 698, 592, 1218, 949, 581, 19944, 4240, 563, 4263, 7434, 27417, 20746, 5574, 1331, 11955, 547, 1852, 519, 2295, 2557, 267, 6391, 547, 7816, 2295, 17901, 267, 543, 5773, 547, 11177, 513, 3339, 2295, 11733, 269, 9615, 3681, 949, 581, 3177, 676, 707, 6315, 6048, 610, 2489, 19995, 563, 16352, 606, 12150, 26470, 630, 1551, 15219, 8926, 264, 568, 711, 1272, 18446, 267, 855, 621, 666, 581, 5906, 547, 707, 1072, 269, 901, 568, 1317, 606, 12150, 26470, 666, 1291, 547, 1973, 28163, 543, 513, 8482, 269, 1452, 1973, 28163, 666, 3625, 1973, 2095, 547, 824, 2694, 540, 519, 1560, 267, 971, 607, 519, 2634, 610, 519, 9641, 269, 898, 568, 1271, 547, 1205, 513, 5868, 540, 693, 7434, 27417, 20746, 543, 723, 621, 5701, 1354, 8374, 1020, 563, 4263, 7434, 27417, 20746, 630, 28425, 264, 568, 513, 1455, 2783, 602, 4386, 950, 519, 5580, 20830, 540, 519, 2295, 630, 520, 6319, 264, 798, 711, 4579, 5265, 269, 898, 666, 849, 2014, 824, 2042, 538, 519, 2295, 267, 1519, 2295, 5821, 269, 10705, 267, 621, 568, 28105, 855, 666, 2014, 1928, 610, 26032, 540, 7362, 269, 634, 2589, 540, 693, 7434, 27417, 20746, 1331, 27621, 14591, 267, 26032, 540, 7362, 267, 9854, 267, 543, 21994, 563, 2467, 616, 1896, 2010, 540, 2126, 585, 693, 7434, 27417, 20746, 267, 1519, 6527, 547, 1852, 519, 2295, 2557, 543, 6391, 547, 11177, 513, 3339, 11733, 269, 589, 6315, 6048, 666, 948, 596, 6430, 799, 1826, 568, 1655, 585, 596, 563, 290, 7752, 614, 705, 3175, 267, 799, 3096, 5925, 325, 15968, 1648, 547, 6146, 5160, 267, 666, 849, 581, 1031, 547, 1521, 693, 7434, 27417, 20746, 269, 898, 568, 513, 30194, 12362, 5650, 269, 634, 5650, 666, 581, 5340, 538, 1896, 1114, 7740, 1472, 519, 1158, 563, 25205, 1470, 11437, 568, 513, 2295, 8573, 20263, 9113, 564, 5650, 267, 799, 2356, 3217, 1747, 538, 513, 6413, 4259, 269, 634, 3461, 568, 2016, 606, 5711, 1884, 4815, 698, 592, 656, 585, 1614, 547, 2185, 4374, 1354, 28491, 11437, 269, 4165, 4815, 698, 592, 1218, 616, 2016, 1586, 585, 2185, 4374, 1310, 28491, 11437, 563, 4263, 7434, 27417, 20746, 814, 513, 2362, 1981, 540, 8482, 543, 1973, 28163, 269, 589, 8482, 666, 581, 3361, 676, 513, 1973, 8052, 538, 519, 9641, 267, 519, 2295, 267, 610, 519, 2634, 269, 589, 1973, 8052, 666, 849, 3625, 519, 1973, 2095, 547, 519, 2295, 267, 799, 666, 2014, 2295, 5821, 563, 288, 8482, 666, 849, 581, 3361, 676, 513, 1973, 8052, 602, 3029, 538, 519, 2295, 630, 520, 7434, 24405, 2670, 264, 610, 513, 8052, 538, 519, 9641, 630, 335, 592, 14004, 2377, 565, 1143, 1040, 589, 8052, 538, 519, 9641, 666, 3625, 519, 1973, 3761, 547, 519, 2634, 267, 799, 666, 2014, 2634, 3441, 563, 7343, 6918, 2954, 476, 3445, 260, 540, 782, 28163, 538, 1004, 609, 693, 7434, 27417, 20746, 23608, 689, 519, 2451, 693, 7434, 16289, 720, 630, 6369, 288, 1040, 4635, 513, 13772, 2006, 3926, 547, 2673, 519, 2451, 693, 7434, 16289, 720, 786, 2569, 519, 1981, 540, 29769, 545, 18116, 543, 1973, 28163, 269, 898, 568, 513, 835, 6066, 5650, 563, 23777, 1227, 267, 519, 654, 2969, 6224, 32602, 5650, 16569, 827, 606, 5662, 543, 568, 5340, 896, 2489, 23236, 269, 4438, 519, 5650, 267, 513, 29259, 568, 5116, 883, 519, 2451, 693, 7434, 16289, 720, 543, 513, 13772, 2006, 3926, 568, 17332, 269, 634, 13772, 2006, 3926, 568, 4988, 609, 513, 15449, 762, 4874, 6856, 5958, 543, 1287, 9450, 269, 898, 568, 1287, 3413, 12089, 547, 519, 700, 8150, 26723, 1756, 676, 12979, 832, 269, 634, 13772, 2006, 3926, 568, 513, 1582, 7721, 335, 21505, 19695, 2389, 11939, 1756, 2497, 563, 763, 13772, 2006, 3926, 568, 5497, 585, 2550, 609, 1875, 29705, 341, 983, 693, 7434, 27417, 20746, 945, 616, 693, 9793, 547, 1164, 1981, 585, 555, 668, 2692, 655, 2513, 1143, 543, 8482, 269, 898, 568, 606, 5499, 2126, 4781, 585, 2550, 945, 616, 5667, 340, 3386, 585, 2112, 325, 18288, 269, 898, 568, 849, 1031, 607, 606, 4244, 2126, 585, 2550, 945, 616, 538, 601, 580, 1043, 585, 630, 301, 264, 302, 3722, 3797, 269, 898, 568, 2139, 538, 2947, 7306, 563, 763, 654, 2969, 6224, 32602, 3926, 814, 1044, 6594, 538, 1079, 19747, 4791, 8062, 269, 1452, 2090, 3379, 519, 13772, 2006, 3926, 609, 1279, 3856, 2112, 325, 18288, 3797, 538, 2550, 609, 693, 7434, 27417, 20746, 269, 769, 1312, 2090, 267, 519, 13772, 2006, 3926, 1185, 513, 15028, 28658, 2557, 269, 7324, 519, 2550, 945, 4607, 519, 13772, 2006, 3926, 267, 519, 2949, 2557, 540, 5650, 5829, 9019, 729, 476, 271, 269, 5400, 9077, 543, 519, 2557, 540, 5650, 5829, 8482, 729, 476, 271, 269, 5400, 18336, 1103, 519, 4791, 8062, 267, 519, 2557, 540, 782, 2275, 1021, 8482, 543, 11528, 2377, 565, 1143, 729, 476, 273, 269, 274, 260, 543, 476, 273, 269, 274, 9077, 6606, 269, 22702, 547, 519, 2112, 325, 18288, 1895, 267, 519, 13772, 2006, 1895, 1185, 513, 2539, 1981, 540, 8482, 563, 763, 13772, 2006, 3926, 814, 1044, 10805, 538, 476, 4037, 2477, 543, 814, 1044, 1031, 538, 811, 982, 476, 1015, 267, 1822, 5773, 269, 898, 568, 519, 1152, 829, 12827, 24345, 9447, 700, 8150, 29473, 2424, 3926, 563, 26452, 2090, 723, 3254, 602, 29259, 705, 3175, 568, 2500, 538, 5355, 4093, 538, 2550, 609, 693, 7434, 27417, 20746, 543, 2295, 5821, 269, 898, 814, 849, 1044, 3254, 547, 2569, 519, 1981, 540, 2669, 538, 519, 11361, 269, 1717, 267, 519, 1279, 3856, 2360, 540, 29259, 705, 3175, 2611, 7334, 269, 769, 1931, 547, 1020, 513, 811, 4977, 9781, 1935, 267, 621, 568, 2556, 547, 4983, 519, 3476, 3856, 4093, 540, 705, 3175, 269, 769, 1840, 267, 519, 2640, 540, 29259, 705, 3175, 1590, 581, 7059, 1996, 519, 3790, 540, 519, 5650, 543, 519, 3782, 13345, 2640, 602, 949, 581, 2404, 609, 621, 563, 1103, 519, 6641, 13109, 19200, 4791, 4693, 267, 2550, 609, 693, 7434, 27417, 20746, 941, 14477, 8655, 547, 4309, 2901, 2564, 3797, 610, 29259, 705, 3175, 269, 6481, 3797, 729, 1031, 538, 519, 5354, 540, 2550, 269, 769, 1840, 267, 519, 705, 3175, 1895, 1185, 3648, 2539, 9019, 3379, 609, 519, 1852, 1895, 563, 4263, 7434, 27417, 20746, 568, 2404, 609, 1713, 24896, 543, 9019, 269, 4014, 29259, 705, 3175, 949, 2569, 519, 11411, 540, 693, 7434, 27417, 20746, 267, 621, 949, 2333, 519, 1981, 540, 24088, 269, 4935, 267, 621, 568, 1271, 547, 3313, 519, 1279, 3856, 2360, 540, 29259, 705, 3175, 593, 3461, 1072, 543, 9019, 563, 1103, 519, 595, 29866, 2793, 1353, 267, 2550, 941, 14477, 8655, 538, 513, 476, 272, 281, 272, 5223, 547, 4309, 2901, 705, 3175, 610, 2564, 3797, 269, 14904, 941, 4553, 585, 513, 11667, 540, 476, 7918, 3275, 269, 769, 1840, 547, 519, 3119, 1439, 4812, 267, 6281, 1439, 9557, 3769, 796, 680, 10165, 16074, 30674, 585, 2295, 5821, 267, 2669, 689, 1022, 2014, 267, 543, 2669, 689, 9025, 2068, 563, 2690, 2550, 538, 519, 705, 3175, 1895, 267, 519, 1034, 1271, 1267, 729, 519, 5786, 538, 519, 1981, 540, 9025, 2669, 269, 634, 705, 3175, 1895, 849, 1185, 513, 2539, 2557, 540, 6413, 16075, 585, 2295, 5821, 269, 589, 1713, 6175, 538, 519, 9651, 5223, 585, 9025, 2669, 7018, 1310, 519, 2063, 705, 3175, 3801, 269, 589, 18087, 17839, 5336, 324, 1512, 7455, 729, 849, 4767, 563, 10890, 589, 547, 2098, 269, 630, 333, 6155, 12175, 670, 10345, 269, 773, 269, 4179, 2517, 4178, 273, 19544, 572, 269, 773, 270, 1794, 13045, 308, 2529, 269, 2817, 7732, 540, 6925, 269, 630, 333, 6155, 12175, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 13045, 17445, 800, 2657, 11762, 269, 630, 333, 6155, 12175, 4179, 2517, 4178, 269, 8234, 1467, 2593, 7933, 1311, 800 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4841, 3576, 1360, 1454, 1719, 538, 1979, 8084, 540, 595, 17679, 269, 10548, 534, 543, 2307, 741, 14511, 827, 22502, 540, 1769, 543, 1876, 540, 22502, 269, 901, 6770, 3621, 2191, 267, 10182, 1851, 1053, 543, 3142, 811, 1990, 652, 547, 1011, 1712, 2470, 563, 13233, 3163, 4303, 630, 18947, 18520, 30733, 11314, 264, 13185, 676, 661, 2381, 550, 22226, 630, 4002, 2817, 3163, 4303, 994, 293, 7473, 13543, 5508, 13316, 267, 307, 17248, 17472, 8104, 312, 1299, 5442, 301, 10976, 9569, 454, 13233, 3163, 4303, 630, 10064, 291, 264, 568, 9976, 593, 476, 2764, 628, 5988, 1169, 1032, 538, 1931, 547, 29428, 519, 8798, 540, 10548, 534, 6356, 538, 3127, 676, 519, 4095, 4284, 545, 626, 267, 11184, 25941, 19189, 16223, 4673, 10469, 330, 1092, 10548, 534, 563, 1103, 1931, 547, 1832, 519, 13336, 540, 834, 13233, 3163, 4303, 257, 261, 2628, 3638, 24744, 547, 938, 1390, 10196, 607, 1134, 607, 547, 3605, 519, 3163, 1851, 938, 4841, 269, 7195, 32038, 10620, 5398, 1153, 267, 2494, 14008, 814, 22555, 606, 2534, 910, 307, 3201, 298, 15760, 15444, 2562, 7728, 623, 8991, 2177, 3201, 14510, 593, 519, 6249, 674, 7473, 13543, 5508, 13316, 267, 31900, 1299, 5442, 301, 10976, 9569, 585, 519, 9972, 5049, 689, 26577, 29930, 2862, 593, 5691, 3760, 563, 763, 6206, 8074, 29150, 585, 2228, 19983, 729, 3220, 269, 681, 1389, 327, 21280, 6062, 10615, 609, 6554, 540, 3127, 267, 12854, 538, 30594, 3163, 689, 16156, 2160, 269, 1261, 814, 5249, 609, 12021, 12207, 538, 594, 308, 7563, 288, 267, 623, 2317, 1299, 594, 3951, 338, 1299, 814, 849, 1044, 2404, 609, 519, 20380, 5384, 2598, 20611, 5741, 540, 3127, 269, 1261, 14437, 827, 519, 5898, 540, 3163, 543, 5059, 593, 519, 10417, 540, 1133, 2305, 540, 519, 1585, 4229, 1299, 519, 5536, 4540, 538, 519, 17807, 1261, 5941, 827, 1010, 1788, 602, 938, 4095, 12207, 616, 2324, 2182, 8757, 2509, 519, 3804, 540, 938, 1378, 4095, 3044, 942, 269, 1261, 4665, 919, 1053, 827, 519, 6612, 540, 3163, 602, 952, 789, 723, 3163, 3330, 873, 267, 3163, 786, 8850, 1491, 873, 269, 4841, 941, 3810, 12592, 563, 7804, 681, 1389, 327, 21280, 6062, 729, 10483, 676, 1744, 8160, 4157, 21983, 932, 879, 7315, 267, 594, 4811, 3493, 14280, 10615, 4937, 267, 24211, 301, 299, 269, 1261, 3838, 827, 519, 24021, 12367, 538, 5303, 1299, 16743, 538, 519, 17791, 23890, 30359, 1547, 3891, 14437, 827, 519, 3604, 1063, 476, 275, 294, 267, 276, 294, 267, 277, 294, 543, 538, 519, 4947, 942, 519, 2729, 540, 519, 1004, 267, 741, 1259, 540, 3257, 960, 568, 2469, 547, 581, 4625, 1689, 269, 1261, 849, 14437, 827, 519, 1239, 6165, 799, 4679, 1175, 476, 2004, 2053, 538, 27579, 269, 1924, 1169, 2754, 568, 2324, 2509, 4758, 1239, 3432, 547, 741, 3117, 28366, 269, 3973, 646, 11461, 519, 1053, 602, 960, 814, 1044, 2907, 3323, 538, 930, 2477, 3823, 519, 7811, 3044, 19862, 540, 476, 277, 294, 269, 13295, 938, 4841, 2744, 513, 2603, 540, 1702, 1282, 519, 8400, 593, 3163, 267, 5303, 1299, 16743, 4586, 763, 29140, 729, 513, 4829, 995, 1299, 3776, 4841, 4121, 1585, 1007, 1919, 1299, 849, 1205, 12592, 609, 513, 1990, 7002, 540, 3257, 1945, 5499, 1299, 547, 3605, 519, 3163, 1369, 873, 563, 2108, 2793, 3582, 3201, 13316, 667, 17751, 892, 630, 300, 2839, 291, 4041, 667, 7968, 11286, 16774, 994, 4002, 519, 8317, 540, 2817, 3163, 4303, 630, 10064, 291, 1070, 519, 3163, 8257, 454, 1993, 519, 1153, 6896, 606, 2534, 968, 16631, 1523, 1759, 681, 836, 10008, 892, 593, 454, 21938, 476, 2918, 267, 476, 1708, 272, 267, 585, 519, 1053, 540, 5049, 17886, 1299, 23446, 269, 634, 2534, 454, 2727, 539, 547, 3895, 3621, 29525, 1851, 519, 1053, 269, 4841, 454, 4820, 4602, 730, 9020, 16484, 543, 4951, 741, 3621, 1935, 538, 454, 322, 3326, 1987, 566, 609, 1148, 676, 1818, 4190, 678, 836, 12994, 1759, 593, 3621, 454, 935, 32383, 1210, 15437, 267, 5810, 267, 3762, 267, 20512, 543, 4718, 706, 560, 563, 288, 2110, 17245, 593, 519, 1585, 10781, 267, 10124, 543, 454, 6944, 1026, 1903, 676, 968, 7804, 22008, 10548, 534, 892, 538, 6323, 543, 9443, 729, 3254, 547, 454, 1492, 1053, 540, 1362, 24163, 593, 519, 1482, 1554, 269, 634, 17245, 729, 1360, 454, 13233, 3163, 4303, 630, 12729, 30733, 11314, 264, 2433, 2817, 3163, 4303, 568, 9976, 593, 5988, 476, 2764, 1169, 1032, 2066, 3127, 269, 634, 2817, 3163, 4303, 454, 5570, 13579, 919, 519, 8798, 540, 519, 1412, 10548, 534, 6356, 1412, 676, 519, 1390, 4095, 21997, 267, 11184, 25941, 19189, 16223, 4673, 454, 309, 523, 330, 1092, 10548, 534, 269, 11184, 10548, 534, 267, 593, 713, 4266, 267, 1185, 11827, 519, 10548, 534, 6356, 538, 519, 1032, 476, 4572, 279, 269, 1280, 1010, 454, 4186, 9084, 538, 519, 2361, 540, 2257, 267, 11184, 10548, 534, 729, 13752, 609, 519, 17587, 15356, 538, 519, 8212, 538, 519, 454, 20204, 476, 4350, 271, 269, 1635, 14120, 713, 1554, 607, 2817, 3163, 4303, 267, 649, 1397, 938, 15683, 543, 2463, 547, 519, 454, 325, 13904, 4095, 21997, 585, 1010, 9295, 538, 519, 2361, 540, 3163, 563, 25911, 32038, 10620, 5398, 3427, 267, 2494, 14008, 6896, 513, 5403, 518, 10435, 26269, 585, 519, 1053, 540, 3119, 454, 9405, 593, 519, 6249, 1412, 3163, 585, 5980, 1412, 593, 476, 2918, 5988, 476, 1708, 272, 269, 4841, 15548, 609, 1390, 1990, 7002, 543, 454, 5460, 639, 328, 16484, 5423, 19297, 27109, 741, 5876, 543, 2093, 1644, 547, 2257, 454, 2793, 3582, 3201, 13316, 667, 17751, 9460, 4041, 289, 6938, 3582, 630, 2776, 6261, 3234, 776, 30733, 11314, 994, 7246, 294, 2975, 5508, 13316, 454, 16631, 568, 782, 827, 3695, 543, 6602, 267, 865, 972, 568, 1100, 1732, 1259, 454, 1729, 1205, 1762, 3744, 9599, 827, 1565, 982, 609, 3946, 593, 454, 716, 8481, 543, 2257, 6901, 269, 8866, 540, 13662, 543, 26076, 5340, 454, 14396, 2238, 538, 741, 5049, 543, 8268, 519, 1158, 1472, 873, 563, 5445, 9976, 2817, 3163, 4303, 10396, 476, 2918, 8946, 30264, 289, 543, 5340, 454, 23024, 9323, 899, 6972, 22774, 543, 4603, 593, 2011, 563, 268, 23048, 11242, 8894, 268, 2817, 30767, 4303, 268, 769, 713, 2875, 689, 17886, 547, 2473, 2862, 8362, 15548, 538, 13658, 6735, 543, 2663, 4607, 519, 552, 2275, 1068, 881, 919, 563, 268, 966, 580, 559, 766, 17607, 10432, 476, 1708, 271, 268, 634, 1053, 689, 2473, 29930, 2862, 543, 5234, 2818, 540, 519, 1153, 3576, 519, 32410, 1927, 593, 5437, 476, 273, 267, 476, 1708, 271, 547, 5000, 519, 4339, 1996, 13313, 543, 4607, 519, 661, 2275, 1068, 881, 919, 585, 519, 1482, 563, 268, 32374, 540, 9119, 6657, 3883, 268, 1677, 3895, 476, 2641, 560, 2540, 1983, 971, 607, 2565, 3206, 543, 1966, 6061, 267, 23048, 814, 3838, 519, 960, 1433, 585, 519, 1053, 540, 23446, 547, 2473, 547, 4983, 2042, 1644, 547, 1483, 3734, 3871, 543, 4194, 971, 2042, 563, 268, 9919, 30503, 1674, 540, 19413, 20289, 21468, 476, 1708, 271, 268, 1677, 29428, 519, 476, 5611, 628, 4332, 16683, 540, 8575, 32257, 19413, 267, 1585, 2238, 899, 2228, 6640, 10198, 593, 717, 663, 327, 1014, 13898, 267, 782, 5132, 11755, 543, 865, 593, 941, 5342, 593, 476, 273, 526, 5239, 267, 476, 1708, 271, 563, 268, 9919, 30503, 1674, 540, 7335, 10432, 268, 1677, 5031, 519, 2956, 540, 7924, 585, 2043, 543, 519, 7239, 607, 1134, 607, 519, 991, 585, 21284, 3646, 2509, 811, 2148, 622, 7239, 267, 1114, 2238, 899, 1107, 9423, 267, 1433, 17265, 543, 865, 593, 941, 5342, 689, 476, 279, 628, 5181, 547, 476, 1691, 628, 5181, 476, 1708, 271, 563, 268, 4139, 4303, 1996, 20222, 543, 31421, 630, 10175, 6880, 11648, 264, 8894, 268, 3967, 1656, 565, 534, 22411, 593, 5046, 268, 866, 268, 634, 1053, 543, 3610, 540, 782, 9344, 3576, 513, 32410, 593, 476, 1321, 628, 5239, 267, 476, 1708, 271, 547, 581, 21713, 543, 16219, 547, 1491, 782, 519, 2556, 15416, 602, 2061, 519, 3262, 540, 14686, 3644, 543, 786, 849, 5000, 1866, 547, 1246, 519, 1883, 5046, 30785, 20409, 328, 2293, 563, 268, 19446, 10432, 268, 1677, 1397, 519, 2648, 543, 2463, 585, 513, 3638, 1893, 899, 19446, 267, 30162, 540, 2238, 899, 966, 580, 344, 3253, 700, 2131, 7315, 267, 715, 4673, 700, 2131, 7315, 267, 6341, 341, 611, 700, 2131, 7315, 267, 2398, 987, 1695, 7663, 7568, 328, 6614, 695, 331, 758, 941, 6896, 676, 19446, 4972, 538, 19446, 3018, 689, 476, 1691, 628, 5181, 267, 476, 1708, 271, 547, 476, 1789, 628, 5181, 267, 476, 1708, 271, 454, 268, 5682, 3427, 5358, 281, 769, 5682, 3427, 5358, 267, 1053, 689, 17886, 547, 2473, 2862, 15548, 538, 606, 5044, 540, 3039, 2238, 547, 1451, 18960, 267, 4443, 855, 2500, 4199, 18026, 2853, 563, 268, 14044, 4663, 547, 23291, 729, 6896, 593, 476, 736, 628, 5181, 267, 476, 1708, 271, 676, 519, 1153, 585, 519, 1053, 540, 2776, 6261, 3234, 776, 538, 799, 789, 782, 21039, 909, 607, 829, 741, 5172, 3662, 543, 6956, 875, 1271, 621, 568, 547, 1491, 1416, 540, 519, 1604, 543, 922, 1713, 1764, 593, 519, 2729, 543, 10304, 540, 2831, 563, 268, 634, 1053, 540, 2776, 6261, 3234, 776, 13617, 9976, 968, 13328, 10960, 4303, 892, 676, 1818, 6177, 29650, 269, 3414, 713, 2534, 267, 789, 4121, 875, 547, 581, 17519, 2509, 2831, 563, 268, 1306, 476, 1708, 271, 3323, 593, 513, 1350, 334, 3912, 4063, 267, 609, 519, 6855, 12176, 267, 519, 1153, 6896, 513, 2776, 5937, 12685, 8932, 11812, 538, 519, 1153, 22402, 547, 3262, 519, 2631, 519, 4272, 2218, 6891, 10838, 519, 5234, 2818, 540, 29851, 4916, 1920, 563, 268, 2776, 6261, 3234, 776, 1053, 9976, 4144, 28549, 12303, 609, 535, 969, 528, 543, 10761, 269, 11334, 543, 1053, 12373, 1194, 909, 538, 6803, 30933, 543, 1500, 17078, 5622, 585, 519, 8317, 269, 1358, 941, 849, 6026, 875, 547, 8661, 10357, 7888, 4144, 28549, 543, 875, 547, 2226, 1514, 26865, 1282, 519, 13037, 563, 268, 11833, 11314, 912, 268, 769, 19446, 11833, 2073, 968, 2969, 8085, 312, 288, 645, 295, 2752, 2969, 892, 268, 606, 2228, 3955, 1153, 6735, 729, 5342, 593, 476, 3066, 628, 4864, 267, 476, 1708, 271, 538, 799, 519, 1053, 689, 3592, 476, 2764, 3506, 9020, 16484, 15548, 538, 1739, 2238, 899, 268, 4077, 527, 571, 2494, 2559, 267, 918, 1695, 8643, 2494, 2559, 267, 6341, 1276, 527, 932, 527, 21531, 8403, 3092, 563, 268, 769, 3163, 11833, 267, 968, 9288, 20011, 966, 1388, 27519, 540, 25016, 338, 892, 543, 968, 22709, 540, 782, 10785, 540, 938, 9891, 3590, 892, 2238, 941, 5342, 585, 1362, 2473, 2862, 1053, 540, 3163, 20837, 538, 799, 789, 6027, 519, 4105, 4390, 267, 519, 23864, 4320, 540, 741, 9641, 543, 7152, 519, 3448, 7306, 540, 519, 10785, 609, 14859, 6606, 563, 268, 7201, 645, 12239, 8630, 267, 5578, 19349, 8400, 593, 968, 20458, 11059, 476, 6200, 892, 543, 968, 7913, 13088, 585, 15272, 547, 5917, 11229, 11162, 5794, 1299, 8693, 11059, 729, 22555, 593, 476, 2641, 560, 5239, 267, 476, 1708, 271, 543, 476, 1240, 628, 5437, 267, 476, 1708, 271, 593, 28652, 6606, 269, 634, 1883, 10529, 540, 519, 8400, 941, 268, 31828, 599, 14600, 2145, 267, 10615, 540, 8693, 7827, 15789, 543, 5842, 329, 3570, 918, 267, 13751, 12333, 267, 8693, 18712, 26064, 563, 268, 23048, 11242, 8894, 268, 3776, 3610, 723, 8067, 1229, 547, 18836, 741, 1702, 543, 1983, 676, 14202, 532, 741, 552, 19543, 1543, 585, 966, 2839, 312, 288, 21096, 3198, 5442, 296, 2316, 288, 20937, 896, 519, 513, 1122, 529, 540, 23048, 563, 268, 1677, 1683, 513, 3760, 547, 1053, 547, 2769, 21176, 741, 2093, 270, 1613, 338, 593, 519, 6249, 968, 8025, 2562, 32578, 5442, 301, 23701, 2316, 27111, 312, 5442, 6167, 303, 3918, 290, 3633, 7728, 3633, 29376, 2464, 22244, 17395, 5046, 268, 866, 5608, 519, 1053, 15548, 538, 1585, 2238, 899, 10749, 270, 13640, 4588, 338, 543, 24484, 902, 18025, 334, 2114, 896, 23048, 20309, 10022, 563, 268, 20052, 836, 3570, 9919, 30503, 1674, 268, 634, 1053, 540, 1362, 24163, 5423, 606, 2228, 957, 593, 519, 3140, 2245, 543, 2528, 540, 20052, 836, 3570, 269, 901, 1788, 5280, 519, 1053, 547, 8415, 519, 27579, 5123, 538, 513, 3860, 1259, 269, 634, 1053, 2322, 741, 5021, 3646, 538, 519, 1818, 540, 713, 2228, 957, 269, 634, 3003, 3381, 729, 6592, 676, 519, 1053, 563, 268, 14400, 11242, 268, 1677 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18786, 513, 3427, 2717, 4802, 1807, 12567, 454, 3519, 2265, 532, 3135, 10526, 568, 2629, 950, 4058, 513, 1153, 3542, 13541, 4677, 269, 901, 1900, 2337, 2697, 519, 1034, 5078, 6753, 585, 519, 4677, 1369, 519, 1153, 12406, 269, 1635, 6313, 2188, 971, 607, 7943, 4598, 267, 3037, 2298, 267, 543, 1216, 1569, 267, 7855, 666, 3313, 6099, 9634, 547, 1489, 25199, 269, 1280, 3236, 267, 2127, 609, 15792, 7943, 543, 1134, 1673, 20995, 3037, 616, 15028, 585, 9544, 22060, 11656, 5810, 602, 4482, 10987, 543, 17984, 563, 1103, 341, 6295, 1053, 267, 3610, 267, 543, 2146, 2818, 538, 519, 3135, 4879, 1184, 11942, 5698, 543, 1128, 1571, 513, 2631, 540, 9562, 1851, 8639, 269, 4841, 666, 8362, 7119, 538, 11287, 1114, 2127, 540, 519, 1153, 547, 2708, 741, 29839, 585, 9591, 513, 3542, 13541, 4677, 269, 11334, 666, 7520, 713, 1565, 1995, 676, 13057, 1053, 998, 519, 4879, 7355, 1247, 18836, 532, 1702, 827, 5065, 2371, 543, 741, 2956, 547, 2199, 8134, 563, 8777, 1645, 2146, 2818, 971, 607, 2199, 12202, 15731, 610, 2825, 3906, 711, 1152, 27862, 519, 3872, 2460, 855, 849, 6770, 3407, 6791, 883, 519, 1788, 269, 1452, 21769, 1711, 3255, 585, 29076, 1565, 1141, 1053, 4324, 689, 519, 7326, 540, 4810, 2043, 13730, 827, 5726, 3646, 563, 20376, 1005, 7616, 610, 5275, 14828, 4249, 606, 7533, 1909, 538, 9591, 513, 3811, 1153, 3542, 13541, 4677, 269, 2755, 930, 3506, 949, 723, 6578, 776, 10148, 267, 972, 616, 1585, 18817, 547, 2263, 585, 2883, 1489, 269, 30451, 666, 1382, 2139, 14828, 4481, 3358, 547, 2825, 2069, 267, 9265, 5726, 267, 610, 4264, 12202, 7341, 563, 13010, 267, 8757, 856, 547, 2199, 4213, 610, 3906, 609, 606, 1719, 538, 2825, 19642, 1223, 1291, 547, 1761, 13384, 11208, 3255, 269, 1280, 1383, 267, 16042, 513, 7404, 21543, 21751, 538, 5065, 2371, 1522, 1267, 538, 23190, 540, 2030, 15013, 610, 2326, 1898, 585, 2870, 9249, 20009, 547, 19788, 3309, 25199, 563, 19119, 540, 23889, 2717, 4802, 1807, 25052, 883, 30482, 4147, 7741, 454, 291, 29174, 4804, 2037, 4921, 454, 11073, 21830, 13460, 609, 3542, 13541, 10651, 1683, 6422, 1565, 5054, 585, 1053, 269, 1452, 5624, 2709, 3946, 6823, 2833, 267, 3850, 1053, 547, 7747, 543, 2170, 609, 1585, 2030, 2249, 543, 25199, 269, 1635, 2502, 538, 4052, 2238, 971, 607, 9544, 267, 14450, 267, 543, 11287, 519, 1272, 4783, 540, 2371, 543, 7786, 267, 1053, 1020, 513, 4514, 1620, 540, 8733, 2035, 563, 13010, 267, 519, 2479, 19145, 2470, 540, 3542, 13541, 10651, 3091, 513, 2189, 1565, 1995, 269, 4841, 666, 7198, 12119, 2242, 267, 7747, 1114, 25199, 9683, 519, 4677, 693, 1585, 2053, 540, 519, 1032, 267, 543, 1353, 519, 25872, 540, 2713, 7103, 1369, 713, 5117, 269, 901, 1463, 4598, 547, 2067, 3157, 11942, 7279, 543, 7512, 3742, 7589, 538, 741, 1378, 1565, 563, 303, 3326, 13541, 10651, 849, 4196, 607, 2713, 20682, 1141, 1053, 666, 2932, 6901, 1644, 547, 2030, 2208, 267, 3037, 5888, 267, 5521, 2623, 267, 543, 811, 269, 1452, 3255, 585, 3408, 6536, 2565, 3206, 1983, 1247, 5009, 606, 7071, 585, 9265, 538, 2199, 8134, 563, 11039, 5630, 543, 10076, 2657, 454, 18204, 7992, 3542, 13541, 10651, 883, 9205, 13460, 8309, 547, 2875, 1134, 5630, 676, 3246, 1569, 547, 2470, 1369, 3872, 5468, 269, 3194, 814, 3254, 602, 7836, 942, 13964, 11303, 676, 3039, 2044, 666, 2569, 2566, 2157, 1851, 2043, 269, 6684, 267, 15025, 609, 2470, 814, 1044, 5532, 547, 4824, 2790, 1072, 4093, 971, 607, 4389, 4160, 543, 2799, 4606, 540, 8788, 563, 3528, 6220, 3542, 13541, 10651, 883, 9205, 13460, 267, 7855, 1711, 5624, 1141, 1053, 666, 1491, 9397, 689, 2757, 11255, 1565, 5054, 547, 4497, 609, 2470, 2047, 269, 901, 4276, 609, 2067, 2609, 711, 1152, 10597, 5042, 1599, 855, 849, 7028, 3929, 7939, 1851, 1762, 6267, 563, 11101, 267, 512, 2056, 547, 513, 4677, 8992, 2168, 2534, 1247, 5356, 9354, 2640, 2404, 609, 1373, 27153, 538, 2067, 10450, 269, 6787, 621, 779, 9544, 5452, 610, 3274, 11287, 17984, 1166, 32211, 1472, 5810, 267, 891, 2833, 3565, 9797, 547, 2949, 2875, 1134, 5630, 563, 293, 29183, 7025, 19731, 13734, 538, 4841, 454, 9743, 3739, 26930, 585, 519, 5113, 454, 14807, 1049, 3344, 540, 3542, 13541, 10651, 979, 3564, 3246, 513, 3946, 6823, 1565, 1995, 269, 1358, 1404, 513, 2629, 1909, 538, 1128, 3739, 513, 2631, 540, 5539, 585, 519, 1604, 538, 1053, 269, 1635, 8362, 10283, 538, 519, 5826, 543, 1416, 540, 891, 10651, 267, 1053, 1020, 513, 4514, 4276, 609, 2470, 269, 901, 11942, 606, 1620, 540, 519, 2956, 540, 8497, 543, 7863, 519, 2067, 1158, 1472, 873, 563, 303, 3326, 13541, 10651, 2709, 7855, 606, 5140, 4316, 547, 6338, 4264, 2853, 547, 741, 1053, 269, 3414, 2238, 899, 5214, 12202, 543, 1216, 5726, 267, 1053, 2744, 3407, 4030, 883, 13476, 7874, 2853, 602, 666, 581, 4294, 711, 1152, 1369, 519, 4677, 855, 849, 538, 741, 3232, 2729, 269, 4197, 891, 3741, 693, 971, 513, 1762, 2085, 28382, 873, 609, 1898, 1702, 602, 789, 666, 946, 547, 1118, 5483, 3664, 3823, 2825, 5726, 607, 789, 1332, 4587, 563, 23220, 7627, 19889, 4211, 976, 4109, 10263, 454, 3080, 540, 519, 1034, 1713, 3872, 3344, 540, 3542, 13541, 10651, 568, 741, 2702, 547, 948, 1053, 1174, 519, 1764, 540, 1480, 2238, 593, 25199, 543, 8134, 269, 1306, 789, 7198, 20250, 875, 891, 7068, 3565, 547, 938, 1426, 3761, 543, 5117, 1072, 267, 789, 1831, 811, 3222, 540, 741, 4644, 269, 901, 4656, 5012, 547, 10357, 23655, 2623, 607, 1053, 8275, 875, 4105, 621, 568, 547, 2149, 25199, 543, 2226, 2635, 8134, 563, 3528, 11287, 1585, 2249, 15025, 1369, 519, 4677, 267, 1053, 1451, 827, 22524, 11163, 1369, 606, 5117, 267, 10771, 875, 1169, 2713, 11248, 4249, 513, 2629, 1909, 538, 4509, 3666, 269, 901, 11455, 1620, 7512, 873, 547, 2015, 6626, 6286, 950, 1818, 5079, 602, 1860, 1312, 2199, 543, 2518, 5054, 563, 763, 4598, 3177, 676, 3542, 13541, 10651, 2337, 3337, 2104, 5481, 883, 13476, 3743, 4961, 945, 616, 9280, 609, 4052, 1702, 827, 24569, 938, 4541, 779, 2067, 2200, 563, 29248, 1077, 532, 15272, 609, 2717, 4802, 1807, 12567, 18768, 454, 18770, 665, 2329, 543, 11094, 454, 8777, 1645, 538, 3542, 13541, 4677, 3785, 16877, 1053, 547, 1491, 2962, 585, 5726, 269, 1635, 2870, 543, 4509, 891, 10651, 267, 1053, 2047, 3565, 547, 519, 11091, 540, 25199, 685, 9249, 269, 901, 3946, 6823, 1995, 2636, 873, 547, 7198, 519, 1764, 540, 741, 3646, 593, 2199, 8134, 267, 1128, 3739, 513, 2631, 540, 5539, 2509, 2825, 6940, 269, 1306, 789, 7747, 10987, 267, 17984, 267, 543, 824, 25199, 9683, 519, 5810, 267, 1053, 2744, 513, 4514, 1620, 540, 519, 4105, 1909, 891, 7068, 1404, 538, 938, 5117, 563, 13010, 267, 998, 741, 9525, 538, 3542, 13541, 4677, 3785, 267, 1053, 666, 1831, 15156, 585, 25199, 1369, 741, 2950, 269, 1358, 711, 1152, 6318, 4656, 827, 519, 2956, 540, 5885, 891, 1898, 7068, 855, 849, 13599, 1866, 827, 2081, 547, 1711, 2147, 9249, 269, 901, 14223, 960, 11498, 3564, 1153, 12406, 607, 1053, 2671, 741, 1702, 609, 1920, 2818, 267, 12543, 267, 543, 2146, 3906, 269, 769, 3257, 865, 267, 789, 6536, 513, 2528, 540, 2463, 585, 2470, 543, 8300, 1866, 547, 6443, 519, 2014, 563, 1103, 1840, 547, 5807, 2825, 19642, 1851, 1053, 267, 3542, 13541, 4677, 3785, 1683, 5718, 3255, 543, 6536, 513, 2631, 540, 22920, 269, 4841, 1491, 593, 1585, 5107, 1369, 891, 3785, 971, 607, 4058, 267, 9544, 267, 14450, 267, 649, 5338, 267, 543, 5464, 519, 10651, 685, 3356, 936, 942, 269, 1452, 9021, 1450, 873, 547, 1020, 2565, 1983, 971, 607, 16542, 267, 1966, 9010, 267, 3375, 6194, 1247, 849, 2679, 6015, 538, 741, 5759, 563, 268, 4841, 949, 10891, 3872, 2621, 610, 11925, 1644, 547, 25199, 543, 4264, 12202, 2853, 563, 268, 1358, 1522, 12840, 609, 2199, 5740, 7685, 610, 2825, 3906, 563, 268, 2368, 1223, 1256, 7119, 538, 2749, 14643, 11401, 610, 4497, 538, 2508, 24597, 2238, 6322, 693, 9750, 3542, 13541, 7888, 5624, 2429, 741, 2950, 563, 3528, 2921, 9562, 540, 891, 7341, 2676, 268, 4841, 1451, 20250, 875, 1507, 3527, 666, 1291, 547, 1713, 2318, 2242, 563, 268, 1358, 1174, 602, 1169, 1367, 814, 519, 1379, 547, 1118, 513, 3017, 563, 268, 4256, 9525, 1128, 1571, 513, 2620, 2631, 540, 11348, 607, 789, 7198, 606, 2333, 538, 7320, 2534, 13631, 676, 519, 5810, 12630, 676, 873, 563, 2791, 4076, 1631, 2938, 519, 6909, 3872, 4644, 540, 3542, 13541, 10651, 543, 875, 789, 666, 581, 16900, 7471, 883, 1153, 21195, 269, 1635, 2870, 2500, 1565, 2833, 543, 2502, 1053, 998, 12504, 2257, 267, 891, 10651, 2709, 513, 3946, 6823, 1935, 547, 2825, 2069, 269, 26787, 3542, 13541, 10651, 538, 3506, 711, 1152, 2640, 519, 2199, 5117, 855, 849, 11942, 2825, 19642, 538, 1053, 267, 16779, 873, 547, 1831, 15156, 585, 519, 1604, 563, 3086, 621, 779, 942, 547, 1491, 2962, 256, 6787, 596, 2461, 606, 19829, 267, 513, 2385, 267, 610, 513, 2146, 4759, 267, 2015, 22299, 532, 519, 2014, 540, 3542, 13541, 10651, 538, 3506, 269, 3399, 676, 6220, 891, 2093, 883, 707, 2199, 1153, 779, 6437, 610, 27510, 513, 3542, 13541, 4677, 1788, 269, 8625, 267, 649, 666, 8300, 519, 1985, 5108, 547, 5660, 543, 2149, 938, 2067, 1158, 269, 2913, 779, 1711, 513, 18388, 827, 3542, 13541, 10651, 543, 11349, 513, 17321, 267, 22928, 2104, 585, 938, 1453, 563, 21761, 18542, 5999, 454, 1432, 616, 519, 3872, 2640, 540, 3542, 13541, 10651, 888, 303, 3326, 13541, 10651, 2709, 3946, 6823, 1565, 2833, 267, 3450, 1053, 827, 8134, 267, 9265, 267, 543, 519, 2956, 540, 25199, 269, 1358, 1683, 3255, 585, 8343, 267, 2565, 3206, 267, 543, 2825, 19642, 1247, 5807, 513, 4514, 4276, 547, 2470, 563, 1692, 666, 3542, 13541, 10651, 581, 7471, 883, 1153, 21195, 888, 27645, 666, 6451, 3542, 13541, 10651, 883, 1585, 5396, 971, 607, 2257, 267, 2979, 267, 543, 1148, 269, 1280, 3236, 267, 1053, 666, 1353, 2030, 1272, 9979, 538, 2257, 1362, 610, 1711, 11247, 6273, 676, 519, 4677, 779, 18508, 543, 21426, 269, 901, 5610, 10597, 15834, 1565, 543, 6278, 563, 1432, 616, 930, 1655, 2853, 585, 9591, 1153, 3542, 13541, 10651, 888, 15675, 532, 5065, 2371, 602, 1489, 2199, 25199, 568, 2629, 269, 12833, 6295, 1053, 538, 519, 4058, 543, 5826, 3157, 11942, 513, 2631, 540, 9562, 269, 21278, 2200, 899, 3391, 9248, 610, 18136, 2199, 4966, 585, 11925, 5849, 3811, 4677, 10661, 563, 1692, 798, 3542, 13541, 10651, 7668, 6107, 998, 12504, 2257, 3785, 888, 8777, 1645, 1053, 538, 12504, 2257, 7341, 1369, 519, 4677, 7512, 873, 547, 2445, 1239, 593, 2030, 1790, 3326, 13541, 4205, 269, 1635, 10283, 538, 1483, 3621, 1382, 267, 789, 1020, 3407, 1983, 971, 607, 1239, 2079, 1247, 7700, 547, 6626, 5726, 3646, 563, 1432, 3268, 616, 1898, 585, 4358, 513, 1153, 3542, 13541, 4677, 888, 24375, 609, 9488, 4058, 1519, 3135, 5542, 543, 13844, 2556, 27704, 269, 3973, 4125, 8639, 971, 607, 3610, 267, 3237, 267, 543, 2146, 2818, 547, 6095, 1676, 1489, 269, 27116, 1005, 7616, 610, 5275, 12352, 609, 2199, 3906, 568, 849, 4105, 585, 6940, 269, 0, 2414, 8495, 1514, 2923, 779, 5222, 593, 1114, 4008, 2516, 267, 519, 631, 5025, 20048, 1834, 5342, 606, 20822, 5619, 540, 476, 14631, 631, 5025, 1053, 267, 476, 10170, 540, 799, 4857, 607, 8695, 267, 476, 7761, 607, 6690, 267, 476, 277, 1875, 1532, 2435, 267, 476, 274, 1100, 6003, 267, 989, 2658, 267, 610, 4008, 22381, 573, 267, 543, 835, 607, 19574, 269, 3776, 5619, 2982, 875, 1514, 2923, 5540, 8695, 543, 6690, 8335, 563, 10932, 676, 18673, 19162, 328, 595, 4459, 7710, 891, 3604, 269, 968, 289, 9081, 616, 811, 9308, 10728, 1765, 3467, 2693, 547, 695, 913, 543, 5734, 835, 1776, 267, 543, 789, 1397, 513, 3152, 1719, 538, 2984, 543, 9413, 827, 2168, 14699, 269, 21989, 267, 538, 4334, 267, 616, 811, 2048, 21975, 958, 685, 10728, 282, 789, 2119, 547, 10413, 741, 30347, 685, 3347, 267, 8088, 725, 267, 543, 1514, 4567, 1765, 1721, 1383, 267, 676, 1210, 1514, 2923, 547, 1118, 2386, 824, 6690, 917, 945, 568, 17543, 1373, 2451, 856, 3034, 297, 14493, 670, 3326, 625, 267, 513, 4195, 2006, 7911, 267, 4967, 267, 968, 296, 1745, 899, 585, 16921, 267, 972, 779, 513, 2603, 540, 2790, 2604, 711, 547, 581, 3929, 543, 8909, 267, 543, 547, 9633, 741, 3020, 4664, 676, 8380, 593, 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 ]
[ 30844, 11378, 676, 519, 2634, 980, 23398, 9270, 269, 21885, 11020, 3194, 267, 476, 15686, 263, 274, 1070, 476, 29483, 268, 22550, 563, 763, 960, 729, 6462, 676, 19301, 293, 6182, 1218, 476, 14341, 21878, 543, 476, 15704, 13932, 630, 1729, 674, 310, 300, 264, 543, 22078, 295, 21610, 2839, 7374, 9886, 681, 4905, 9823, 26522, 280, 2190, 630, 1729, 667, 12613, 1040, 1284, 1131, 899, 547, 9684, 519, 5171, 543, 12253, 28546, 2763, 267, 700, 643, 1470, 10434, 1122, 3455, 267, 2274, 7431, 12928, 6686, 1088, 267, 543, 12653, 1408, 28397, 2779, 585, 6351, 538, 1239, 4015, 563, 306, 1440, 5424, 7186, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 16978, 3055, 24045, 1570, 454, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 298, 5055, 639, 267, 631, 10422, 1421, 5576, 7238, 928, 267, 595, 14371, 1421, 19134, 10458, 267, 631, 269, 1696, 620, 269, 24305, 28550, 1582, 2173, 10056, 4287, 7130, 2866, 281, 3689, 2963, 585, 829, 24632, 1565, 269, 2311, 1084, 3131, 1061, 5369, 19398, 476, 11025, 267, 476, 2735, 278, 1700, 1960, 280, 630, 1708, 271, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 23841, 279, 4882, 16328, 1691, 268, 25171, 268, 25171, 6858, 268, 273, 454, 268, 966, 652, 24212, 3590, 454, 268, 8682, 5336, 10056, 32185, 454, 268, 24305, 570, 2830, 454, 268, 3131, 24632, 4804, 454, 268, 5564, 529, 29022, 14409, 0, 18404, 29440, 568, 782, 827, 519, 23020, 6547, 602, 1522, 4755, 538, 606, 11248, 610, 2281, 543, 519, 1353, 540, 9190, 10307, 6212, 4481, 593, 519, 3114, 4763, 540, 6547, 609, 799, 519, 14041, 6675, 666, 581, 7745, 1524, 543, 713, 7363, 3252, 538, 4551, 585, 519, 5108, 540, 1648, 269, 1879, 621, 2501, 547, 519, 9165, 540, 9190, 10307, 267, 621, 1131, 581, 827, 519, 1353, 540, 6981, 543, 13345, 540, 1022, 4990, 540, 7135, 602, 786, 581, 2838, 585, 21939, 6547, 799, 1131, 581, 2208, 543, 5826, 269, 2913, 721, 1174, 519, 2010, 540, 9190, 10307, 543, 10307, 538, 2489, 563, 763, 2596, 2460, 540, 9190, 10307, 568, 602, 519, 9757, 1648, 3917, 1752, 532, 6547, 543, 519, 6547, 602, 2154, 1648, 786, 581, 3854, 1242, 1369, 1022, 9190, 2281, 543, 972, 1131, 581, 7471, 11747, 1949, 3257, 519, 1482, 269, 1306, 606, 1439, 1267, 267, 596, 666, 1294, 519, 1582, 5630, 1582, 1972, 1807, 543, 519, 12588, 540, 15451, 2281, 585, 519, 8647, 543, 18643, 4542, 1369, 1022, 552, 9190, 2528, 5420, 543, 1978, 3114, 2242, 666, 1267, 607, 606, 1764, 540, 519, 7004, 7587, 5024, 547, 875, 1454, 519, 9165, 540, 9190, 10307, 1223, 8831, 563, 15650, 2986, 645, 17424, 5450, 29440, 454, 763, 9190, 1591, 666, 581, 5462, 607, 606, 1648, 22155, 602, 814, 1164, 7400, 29286, 543, 519, 3114, 1648, 950, 621, 568, 6383, 676, 519, 14041, 12444, 725, 1131, 581, 24721, 1282, 519, 5250, 540, 7135, 609, 1164, 1648, 543, 713, 1223, 1331, 4376, 899, 20722, 27343, 546, 13023, 24043, 610, 20722, 27343, 2468, 874, 24043, 610, 621, 1223, 849, 581, 7135, 5627, 555, 1470, 6856, 20607, 269, 634, 3173, 723, 6444, 602, 519, 9190, 2281, 786, 581, 538, 1896, 3344, 543, 621, 1131, 581, 2147, 547, 950, 621, 2501, 547, 3114, 3344, 547, 1169, 824, 2713, 1591, 269, 519, 22602, 723, 6444, 519, 4527, 540, 7250, 4483, 547, 581, 513, 1455, 543, 2596, 4183, 950, 621, 2501, 547, 519, 10894, 1184, 543, 4551, 786, 1118, 946, 540, 21085, 610, 1022, 19552, 20607, 547, 581, 519, 3119, 3114, 1648, 2707, 563, 19547, 5661, 6168, 645, 17424, 5450, 29440, 454, 4002, 519, 824, 1688, 267, 649, 723, 10636, 582, 13116, 4551, 799, 786, 1331, 1022, 19800, 602, 3489, 338, 1648, 689, 5214, 7135, 543, 519, 16617, 540, 519, 1482, 269, 11950, 543, 5946, 786, 849, 581, 4122, 12444, 1242, 607, 7135, 3769, 538, 519, 1184, 543, 593, 519, 824, 1688, 267, 6211, 16617, 676, 1022, 4551, 786, 1267, 538, 519, 21085, 1044, 24704, 547, 2417, 1831, 513, 737, 3317, 601, 3114, 1648, 2707, 269, 901, 3003, 1184, 786, 849, 948, 12863, 5214, 7135, 547, 5352, 799, 1131, 581, 2838, 676, 1022, 9190, 1591, 585, 2417, 19777, 24678, 6547, 269, 4340, 547, 519, 918, 516, 321, 4783, 267, 519, 2203, 543, 7135, 786, 581, 7674, 607, 2679, 7161, 585, 519, 19777, 11853, 540, 1022, 7294, 5214, 7135, 799, 1131, 2154, 519, 1648, 1369, 519, 9190, 1591, 563, 289, 17424, 15591, 568, 513, 1826, 540, 10307, 538, 26103, 7154, 543, 8200, 593, 1769, 269, 769, 13829, 609, 519, 7250, 2707, 602, 786, 581, 1031, 547, 3986, 519, 5786, 540, 3327, 8166, 267, 1978, 6547, 786, 2291, 538, 4551, 2337, 538, 519, 10307, 547, 4755, 543, 972, 616, 1896, 2010, 540, 10307, 602, 666, 581, 1336, 14311, 538, 4551, 269, 0, 268, 1548, 952, 707, 1973, 2604, 568, 476, 5611, 476, 1911, 888, 268, 1548, 1281, 621, 1611, 952, 519, 5377, 1297, 540, 707, 1973, 2604, 568, 936, 476, 1911, 888, 268, 1215, 666, 594, 1205, 1250, 1973, 2604, 1524, 1318, 1631, 888, 268, 3657, 972, 9963, 4191, 2395, 1354, 513, 8482, 888, 268, 6496, 6704, 513, 2603, 540, 1216, 2333, 1973, 2604, 888, 268, 1772, 476, 5611, 936, 476, 3445, 513, 1434, 1973, 2604, 888, 268, 6496, 4160, 2014, 1164, 1973, 2604, 888, 268, 1548, 568, 2808, 8482, 1377, 1164, 1973, 2604, 888, 268, 1548, 952, 1250, 1973, 2604, 568, 476, 5611, 476, 8099, 888, 268, 1548, 1058, 594, 798, 952, 1250, 1973, 2604, 568, 476, 8182, 936, 476, 1911, 888, 268, 1879, 1058, 596, 979, 547, 18317, 585, 1973, 2604, 888, 268, 1215, 666, 594, 2539, 1250, 1973, 2604, 3728, 693, 1753, 888, 1432, 952, 707, 1973, 2604, 568, 476, 5611, 476, 1911, 888, 2026, 596, 666, 1294, 689, 519, 5037, 1657, 267, 952, 707, 1973, 2604, 568, 3648, 11506, 630, 285, 5611, 270, 1911, 6515, 32074, 264, 621, 568, 1360, 12691, 602, 2732, 543, 6197, 2242, 4805, 786, 581, 2614, 547, 3142, 707, 1973, 2604, 538, 513, 2039, 602, 786, 2569, 707, 1981, 610, 2295, 6285, 267, 18116, 267, 610, 2038, 2669, 563, 2791, 991, 6527, 10756, 1432, 1281, 621, 1611, 952, 519, 5377, 1297, 540, 707, 1973, 2604, 568, 936, 476, 1911, 888, 763, 1985, 3942, 540, 13119, 267, 3942, 476, 273, 13119, 267, 568, 8995, 950, 707, 30918, 4301, 2604, 568, 476, 8182, 6515, 29666, 610, 2362, 610, 707, 1019, 770, 4301, 2604, 568, 476, 1911, 6515, 29666, 610, 2362, 269, 589, 5868, 540, 13119, 1797, 602, 596, 991, 2126, 547, 1205, 707, 1973, 2604, 896, 1852, 563, 1692, 666, 594, 1205, 1250, 1973, 2604, 1524, 1318, 1631, 888, 2080, 616, 930, 2241, 7840, 281, 19865, 1034, 2395, 540, 519, 3018, 269, 11644, 568, 519, 1034, 2500, 1259, 547, 2539, 707, 1973, 2604, 269, 2560, 3117, 2541, 513, 1970, 1606, 18754, 2732, 269, 18320, 1454, 9770, 630, 528, 6070, 264, 3123, 1973, 2604, 547, 4473, 269, 2560, 23423, 4568, 6981, 547, 1100, 811, 982, 476, 272, 547, 476, 273, 10425, 829, 1554, 269, 2560, 5269, 2566, 5786, 513, 10862, 12282, 684, 476, 2420, 267, 476, 1001, 280, 454, 6701, 972, 9963, 4191, 2395, 1354, 513, 8482, 888, 1700, 2782, 940, 4191, 540, 606, 29769, 545, 8482, 949, 581, 10423, 607, 2038, 607, 5722, 2395, 1354, 606, 4323, 543, 2154, 14849, 2126, 547, 2061, 3978, 3441, 547, 519, 2634, 267, 2687, 547, 513, 1353, 540, 8482, 2550, 3370, 538, 519, 4728, 476, 279, 267, 476, 1220, 276, 3390, 540, 27096, 344, 267, 519, 3621, 4760, 540, 519, 1977, 9142, 540, 27096, 344, 563, 9989, 6704, 513, 2603, 540, 1216, 2333, 1973, 2604, 888, 12850, 6704, 849, 8650, 569, 12651, 1973, 2604, 538, 4587, 3339, 5396, 269, 634, 2046, 528, 1198, 540, 5711, 1216, 568, 606, 1271, 2943, 11389, 322, 1758, 1242, 1476, 15929, 3815, 538, 4791, 2090, 540, 2046, 528, 8069, 543, 4550, 1506, 13630, 2400, 6527, 269, 630, 290, 597, 27218, 563, 3674, 476, 5611, 936, 476, 3445, 513, 1434, 1973, 2604, 888, 14683, 1973, 2604, 568, 2808, 547, 581, 476, 9610, 270, 3445, 7825, 32074, 610, 2362, 630, 528, 476, 5611, 270, 3445, 7825, 32074, 610, 2362, 952, 596, 2461, 936, 519, 2085, 540, 476, 3199, 264, 4998, 1973, 2604, 568, 2356, 2808, 547, 581, 1063, 476, 3445, 270, 2568, 7825, 32074, 543, 476, 6344, 270, 3199, 7825, 32074, 563, 9989, 4160, 2014, 1164, 1973, 2604, 888, 2304, 3806, 3085, 1406, 2014, 1279, 3856, 1164, 1973, 2604, 630, 30104, 11364, 1040, 1809, 14501, 540, 4160, 666, 2014, 10565, 267, 10151, 26389, 538, 707, 1973, 2604, 563, 1432, 568, 2808, 8482, 1377, 1164, 1973, 2604, 888, 288, 29998, 2400, 6433, 568, 513, 4049, 2333, 538, 1973, 2604, 602, 666, 1291, 547, 513, 8482, 269, 26184, 569, 1164, 1973, 2604, 2443, 513, 1283, 1297, 630, 1910, 560, 4301, 2604, 264, 540, 476, 5197, 28935, 540, 16035, 630, 7825, 29666, 264, 610, 2362, 610, 513, 5377, 1297, 630, 10972, 770, 4301, 2604, 264, 540, 476, 6344, 6515, 29666, 610, 2362, 2443, 666, 3441, 1973, 8043, 563, 1432, 952, 1250, 1973, 2604, 568, 476, 5611, 476, 8099, 888, 7312, 1973, 2604, 568, 2808, 1164, 630, 560, 720, 476, 272, 264, 952, 621, 14509, 476, 9873, 270, 3199, 269, 8609, 476, 273, 1164, 1973, 2604, 568, 476, 9610, 270, 3445, 610, 2362, 269, 1403, 596, 1205, 513, 1973, 2604, 2542, 540, 476, 5197, 270, 8099, 610, 2362, 811, 982, 2899, 267, 3343, 2564, 2126, 1318, 2476, 269, 589, 2542, 713, 1164, 568, 2808, 968, 1506, 13630, 2400, 6433, 3034, 1432, 1058, 594, 798, 952, 1250, 1973, 2604, 568, 476, 8182, 936, 476, 1911, 888, 7312, 4387, 1403, 707, 1973, 2604, 568, 2362, 982, 476, 8182, 270, 1911, 6515, 32074, 267, 1287, 1614, 11564, 616, 2614, 269, 1403, 707, 1973, 2604, 568, 2362, 982, 476, 9610, 270, 3445, 6515, 32074, 267, 1287, 2947, 11564, 616, 2877, 1354, 513, 5868, 666, 581, 1500, 269, 1403, 2901, 707, 30918, 4301, 610, 1019, 770, 4301, 1973, 2604, 13978, 1164, 267, 1287, 519, 5868, 540, 13119, 666, 581, 1500, 563, 2691, 1058, 596, 979, 547, 18317, 585, 1973, 2604, 888, 2252, 707, 1973, 2604, 568, 476, 5197, 270, 6344, 610, 2362, 6730, 596, 616, 7680, 2589, 602, 1223, 581, 1644, 547, 707, 1164, 1973, 2604, 596, 1058, 979, 547, 519, 17073, 18740, 5612, 563, 1692, 666, 594, 2539, 1250, 1973, 2604, 3728, 693, 1753, 888, 2080, 616, 476, 1428, 2067, 2081, 547, 8396, 1164, 1973, 2604, 15030, 1779, 543, 3635, 5781, 269, 9523, 593, 26964, 8617, 3635, 666, 948, 2539, 707, 1973, 2604, 269, 2560, 21079, 707, 9770, 6981, 269, 2560, 27276, 1447, 4568, 269, 2560, 16202, 811, 11379, 11656, 3536, 269, 2560, 12338, 1394, 593, 14933, 269, 2560, 6258, 547, 4383, 2566, 269, 2560, 16202, 4158, 10217, 610, 23342, 269, 2560, 700, 846, 2597, 21457, 3688, 2507, 0, 2691, 28266, 20088, 535, 4310, 547, 2285, 909, 1200, 1668, 10160, 1394, 538, 476, 4198, 276, 267, 1352, 729, 13889, 532, 21440, 32593, 1836, 269, 3220, 269, 3751, 2899, 1767, 267, 968, 15239, 24825, 775, 568, 513, 3532, 543, 1175, 14049, 269, 898, 568, 513, 14049, 2189, 538, 1686, 267, 799, 11912, 1510, 10138, 532, 543, 679, 333, 984, 956, 519, 812, 945, 530, 3658, 621, 269, 898, 568, 513, 18156, 602, 646, 1023, 1848, 634, 6426, 1281, 711, 2285, 721, 8763, 8846, 593, 875, 547, 13889, 21440, 267, 855, 621, 568, 711, 14980, 4724, 1346, 945, 1491, 5413, 540, 1866, 267, 2523, 519, 4057, 269, 1284, 1224, 713, 538, 6276, 476, 276, 281, 968, 16100, 1934, 267, 596, 3638, 1004, 2507, 670, 792, 519, 1835, 625, 540, 519, 2361, 4600, 7247, 596, 723, 1750, 730, 540, 741, 2628, 269, 634, 1835, 625, 540, 1346, 945, 7556, 707, 4610, 723, 6603, 519, 10772, 540, 519, 28789, 540, 24656, 779, 14022, 625, 2507, 1411, 723, 3170, 1084, 539, 707, 2383, 585, 519, 1554, 540, 26718, 269, 1411, 723, 28715, 543, 7166, 17608, 1004, 267, 945, 798, 711, 5706, 596, 1848, 2986, 1576, 267, 711, 782, 14547, 1004, 616, 24407, 269, 8616, 538, 13889, 532, 11375, 3861, 2932, 676, 1346, 945, 616, 6067, 9037, 267, 6276, 1443, 2478, 2696, 779, 1004, 547, 2057, 5208, 269, 1261, 3081, 547, 2696, 779, 1004, 267, 968, 13706, 519, 6705, 945, 3461, 569, 7227, 585, 519, 22856, 538, 519, 2887, 543, 5614, 269, 1358, 23362, 1413, 585, 519, 3407, 7556, 547, 18009, 523, 269, 1411, 267, 1932, 267, 1590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2257, 563, 3963, 616, 1353, 2326, 2257, 543, 4702, 888, 268, 4208, 5530, 10049, 3163, 543, 7177, 286, 5530, 519, 834, 1805, 4428, 257, 15907, 2974, 10049, 2257, 543, 4702, 32407, 1020, 519, 2326, 602, 1118, 519, 4066, 649, 946, 538, 938, 4948, 2729, 1732, 269, 28900, 267, 519, 2361, 561, 1742, 3294, 547, 513, 2647, 2039, 540, 4876, 3255, 563, 1432, 666, 596, 798, 609, 513, 14453, 2257, 4110, 888, 268, 14997, 11914, 2257, 568, 513, 3376, 9015, 543, 513, 14762, 5823, 1369, 513, 1804, 543, 1898, 2872, 269, 1879, 596, 10927, 689, 713, 4110, 267, 596, 1810, 1406, 10927, 607, 513, 14453, 10196, 910, 596, 10927, 607, 513, 14453, 10196, 609, 513, 1880, 2027, 5314, 543, 2789, 4876, 3681, 563, 268, 24356, 2797, 2257, 2337, 1628, 1995, 2324, 609, 3309, 2950, 547, 9585, 1808, 3853, 269, 898, 849, 3340, 2542, 4143, 3332, 543, 11589, 5784, 998, 1603, 282, 891, 2238, 948, 1020, 1983, 538, 2565, 3206, 563, 3963, 568, 519, 3621, 1505, 865, 1271, 888, 268, 634, 3621, 1505, 568, 24903, 519, 1034, 1271, 3693, 540, 2257, 269, 9453, 621, 2257, 3294, 1131, 581, 18374, 2495, 1652, 269, 3163, 568, 3989, 607, 281, 968, 519, 7214, 543, 4052, 2534, 21214, 519, 9836, 1353, 540, 519, 2497, 543, 7180, 540, 519, 2168, 543, 2067, 1158, 998, 8343, 543, 4603, 3034, 3528, 4974, 2257, 267, 1053, 281, 1020, 606, 1620, 540, 519, 1158, 267, 3710, 593, 1699, 3621, 6436, 2507, 946, 741, 1699, 3621, 1702, 543, 1983, 585, 1966, 6061, 543, 3384, 2417, 1702, 269, 0, 2304, 2937, 1590, 581, 16363, 22424, 564, 550, 676, 519, 5480, 547, 1831, 606, 2937, 20758, 540, 519, 1533, 269, 769, 519, 9000, 540, 513, 1920, 4759, 945, 666, 4196, 607, 513, 27369, 267, 519, 1533, 786, 6966, 513, 27369, 547, 1118, 3664, 585, 519, 2937, 20758, 563, 1103, 1876, 267, 513, 20758, 568, 513, 5634, 610, 24835, 659, 18469, 2937, 5116, 896, 519, 4027, 540, 513, 3656, 27369, 610, 2229, 11769, 267, 971, 607, 513, 5480, 269, 6270, 513, 1268, 949, 581, 26518, 607, 513, 9232, 20758, 540, 519, 5480, 9731, 2080, 616, 2947, 2489, 3268, 547, 1246, 547, 1205, 2576, 10294, 16155, 22424, 564, 550, 2433, 11711, 585, 15050, 2103, 1222, 269, 13693, 606, 30374, 269, 21480, 513, 16723, 16214, 269, 4427, 2466, 519, 16214, 547, 519, 7040, 269, 29934, 519, 24651, 563, 288, 9232, 27369, 540, 519, 1268, 892, 568, 12912, 676, 519, 5480, 950, 513, 16981, 1367, 3112, 1118, 610, 5968, 3743, 3664, 3823, 1010, 2123, 1416, 269, 901, 27369, 786, 1118, 3664, 827, 2564, 2126, 267, 10821, 13307, 267, 1514, 2533, 543, 824, 2115, 563, 288, 1379, 540, 18607, 568, 513, 4357, 1259, 547, 6430, 945, 786, 723, 519, 3656, 6392, 547, 4163, 856, 707, 16858, 952, 596, 666, 1100, 3476, 3717, 610, 957, 585, 3054, 269, 898, 568, 1447, 14427, 982, 513, 25330, 1222, 2073, 799, 568, 513, 1857, 23312, 543, 519, 1268, 12912, 607, 707, 27369, 949, 711, 581, 519, 1268, 596, 1131, 723, 6074, 563, 20175, 540, 30374, 1546, 5586, 566, 2443, 11068, 268, 547, 17623, 21178, 720, 1546, 10879, 1403, 606, 4587, 2937, 568, 8572, 547, 1174, 519, 1379, 540, 18607, 3561, 543, 1184, 267, 519, 1920, 786, 991, 547, 21821, 519, 948, 540, 519, 2199, 5480, 269, 589, 9794, 666, 2689, 519, 2013, 543, 9886, 2576, 538, 519, 1920, 630, 528, 513, 5480, 1374, 2465, 264, 519, 2140, 540, 11122, 1807, 563, 2304, 2937, 1590, 581, 16363, 22424, 564, 550, 676, 519, 5480, 547, 1831, 606, 2937, 20758, 540, 519, 1533, 269, 769, 519, 9000, 540, 513, 1920, 4759, 945, 666, 4196, 607, 513, 27369, 267, 519, 1533, 786, 6966, 513, 27369, 547, 1118, 3664, 585, 519, 2937, 20758, 4586, 1103, 519, 3656, 2796, 267, 519, 2165, 2048, 20758, 2048, 568, 1031, 547, 20301, 513, 1268, 945, 568, 5116, 896, 519, 4027, 540, 513, 3656, 27369, 267, 676, 513, 5480, 540, 1876, 269, 589, 20758, 666, 581, 513, 5634, 1126, 267, 606, 24835, 659, 18469, 9972, 267, 610, 513, 16981, 2937, 269, 634, 5480, 6966, 338, 513, 2229, 8116, 547, 1491, 1416, 540, 602, 1268, 2073, 945, 568, 1572, 20758, 540, 519, 1533, 4586, 288, 968, 24156, 9232, 610, 968, 24156, 540, 519, 3557, 9232, 4927, 1611, 513, 5634, 630, 8974, 476, 1240, 1296, 540, 2085, 264, 945, 568, 896, 519, 3656, 26692, 540, 513, 1533, 610, 513, 30834, 1707, 540, 519, 3557, 630, 324, 3052, 1421, 513, 5634, 5116, 538, 6536, 1416, 538, 13076, 609, 10858, 1533, 1876, 1916, 2414, 581, 2808, 19579, 2073, 2043, 991, 547, 581, 2111, 547, 281, 1290, 2181, 9150, 1344, 602, 568, 4843, 547, 873, 269, 13760, 519, 2956, 540, 971, 1344, 269, 5269, 3280, 3664, 1851, 3177, 5079, 269, 13760, 519, 1761, 1764, 540, 741, 3664, 563, 288, 1268, 568, 16363, 547, 581, 22424, 564, 550, 950, 789, 1100, 3476, 4159, 519, 2702, 547, 1118, 3664, 602, 616, 538, 741, 1655, 4690, 269, 2755, 596, 3112, 723, 2576, 10294, 22424, 564, 550, 1317, 789, 1118, 3664, 596, 798, 711, 3858, 609, 267, 513, 1268, 666, 581, 10294, 22424, 564, 550, 952, 789, 2408, 547, 581, 2713, 538, 741, 1378, 4641, 563, 2252, 519, 1268, 568, 12199, 22424, 564, 550, 2073, 1287, 519, 5480, 19132, 519, 5539, 585, 5883, 18083, 267, 2713, 12417, 267, 2564, 3664, 610, 1022, 4999, 540, 891, 4247, 547, 519, 21936, 518, 269, 901, 1184, 1419, 3217, 513, 1434, 4308, 540, 942, 543, 2724, 563, 2791, 1223, 1205, 26851, 779, 14190, 766, 952, 596, 2461, 8744, 909, 513, 1126, 4171, 3237, 723, 5747, 269, 1411, 949, 849, 581, 14718, 952, 972, 779, 835, 17005, 2385, 269, 634, 26851, 779, 14190, 766, 2557, 568, 11278, 1704, 269, 3445, 513, 3018, 269, 1411, 1205, 621, 593, 1283, 540, 4132, 5484, 24674, 543, 621, 779, 3454, 6954, 563, 8133, 269, 594, 6557, 711, 3222, 540, 1022, 1533, 602, 3340, 602, 519, 27369, 2661, 538, 519, 1482, 1533, 607, 519, 24835, 659, 18469, 1268, 267, 1572, 513, 968, 1189, 892, 610, 968, 31695, 1268, 892, 538, 25330, 1222, 4031, 269, 2334, 1767, 267, 16133, 547, 519, 6870, 1268, 1223, 581, 606, 1271, 3815, 538, 513, 5480, 14045, 1063, 1079, 10457, 547, 4196, 607, 27369, 4586, 8138, 338, 573, 1242, 25330, 1222, 3292, 4268, 689, 1533, 547, 1533, 1547, 4107, 616, 2139, 1152, 585, 14077, 945, 3489, 3656, 25330, 1222, 540, 1453, 945, 723, 1044, 538, 519, 6536, 1416, 1062, 585, 930, 1974, 540, 942, 269, 15394, 267, 519, 13564, 344, 2179, 568, 12341, 1063, 519, 2179, 540, 513, 570, 3198, 293, 1126, 26209, 9886, 543, 513, 6536, 1416, 8569, 1547, 0, 763, 6147, 31616, 11392, 1344, 689, 519, 10444, 1949, 267, 519, 11983, 10260, 267, 543, 824, 2694, 540, 519, 2634, 543, 1287, 21560, 5179, 5322, 269, 634, 6147, 31616, 10974, 17319, 5322, 971, 607, 14302, 267, 3666, 267, 11558, 267, 543, 4633, 267, 4611, 538, 5347, 543, 7059, 16757, 2534, 269, 898, 568, 849, 1271, 585, 1565, 5179, 5615, 563, 763, 1079, 9030, 2010, 540, 24561, 5160, 538, 513, 454, 16443, 2193, 616, 20018, 543, 1250, 1993, 2320, 2812, 269, 634, 3003, 4887, 568, 20386, 538, 20018, 547, 454, 845, 513, 3673, 1834, 269, 18391, 693, 835, 4887, 6775, 267, 596, 786, 1294, 602, 3592, 519, 454, 550, 790, 3444, 3296, 540, 519, 4887, 6775, 568, 7768, 540, 1279, 267, 20425, 454, 14259, 2738, 540, 5946, 1572, 1250, 1993, 2320, 2812, 283, 31078, 20101, 21742, 31078, 11417, 7717, 787, 585, 6031, 645, 561, 565, 267, 1775, 2219, 621, 1767, 513, 6175, 538, 834, 337, 1846, 4840, 328, 729, 899, 670, 308, 295, 454, 527, 1131, 581, 667, 1317, 952, 972, 568, 1100, 4764, 267, 519, 6371, 786, 4440, 3819, 909, 543, 5884, 543, 1287, 519, 17544, 530, 2632, 723, 4376, 547, 3548, 865, 789, 786, 6175, 543, 519, 29372, 530, 2632, 723, 17544, 547, 3548, 865, 789, 3513, 6175, 0, 7312, 22525, 949, 991, 547, 5957, 1079, 610, 1614, 1114, 7306, 538, 513, 2016, 1032, 269, 8786, 267, 621, 4991, 7199, 547, 5372, 10887, 602, 4749, 267, 855, 1964, 21407, 602, 1200, 2208, 4465, 1406, 2141, 581, 713, 4028, 269, 2991, 2085, 476, 274, 267, 1034, 3214, 685, 3952, 1152, 1332, 827, 476, 272, 270, 273, 10759, 829, 1032, 2394, 789, 3914, 741, 2937, 2450, 563, 2710, 3214, 2479, 18178, 513, 21489, 2450, 888, 22137, 723, 1336, 602, 538, 519, 1101, 476, 1428, 3275, 267, 9002, 685, 3952, 1332, 3368, 513, 2450, 1169, 1079, 3275, 269, 2334, 1223, 1611, 936, 5722, 7306, 1279, 1354, 789, 2461, 1256, 1079, 1296, 2025, 256, 2560, 3245, 476, 1428, 3275, 547, 1079, 1296, 267, 707, 4819, 779, 3952, 786, 1332, 3368, 513, 2450, 1169, 1079, 547, 1614, 3275, 563, 2710, 3214, 979, 998, 1169, 21489, 2450, 888, 289, 17879, 21489, 7306, 616, 2356, 13042, 676, 2085, 538, 3275, 269, 9741, 3214, 3335, 5957, 10887, 8151, 689, 2450, 476, 274, 269, 276, 547, 2450, 476, 1015, 267, 543, 2462, 10275, 573, 7306, 1376, 693, 2450, 476, 1015, 269, 276, 269, 4495, 707, 1126, 856, 326, 4900, 741, 2450, 476, 1724, 269, 276, 3214, 685, 10887, 267, 789, 10927, 883, 2937, 7306, 269, 1924, 267, 741, 1985, 6292, 786, 2693, 581, 513, 2450, 476, 272, 563, 1692, 1419, 1281, 707, 22525, 1689, 21489, 7306, 888, 2080, 779, 513, 15059, 281, 3245, 4332, 547, 476, 1321, 3275, 267, 789, 786, 1332, 606, 3328, 540, 476, 276, 7306, 267, 630, 5228, 513, 476, 271, 547, 513, 476, 276, 1040, 3973, 689, 476, 1321, 3275, 547, 476, 2190, 3275, 267, 519, 3328, 1126, 786, 1152, 1332, 1079, 21489, 7306, 269, 3245, 476, 2190, 3275, 547, 476, 274, 1296, 267, 789, 786, 1332, 1776, 835, 547, 1079, 7306, 267, 13941, 873, 693, 606, 3328, 2450, 476, 280, 676, 519, 2085, 540, 1614, 563, 19675, 596, 4444, 22525, 10887, 8273, 888, 763, 1655, 10887, 585, 20854, 1058, 1450, 585, 513, 14853, 779, 8700, 630, 12671, 3368, 606, 10759, 264, 1063, 1200, 23179, 543, 519, 9133, 540, 519, 21489, 269, 1403, 519, 21489, 13352, 267, 4444, 621, 538, 602, 2450, 269, 2560, 18320, 1532, 580, 10887, 616, 2182, 547, 3802, 538, 543, 1223, 1256, 581, 22247, 269, 1403, 835, 3723, 568, 6825, 569, 8273, 982, 519, 824, 267, 2705, 267, 4444, 547, 3514, 519, 3677, 835, 563, 1432, 2450, 1281, 513, 476, 273, 1032, 2025, 5957, 538, 10887, 888, 8196, 4441, 547, 7447, 513, 22525, 779, 21489, 2450, 689, 2085, 269, 634, 5227, 2450, 568, 476, 276, 585, 513, 476, 1321, 268, 547, 476, 1240, 18881, 6040, 1126, 267, 476, 277, 585, 606, 476, 1240, 268, 547, 476, 2190, 18881, 6040, 1126, 267, 476, 278, 585, 513, 476, 273, 4458, 6040, 267, 476, 279, 585, 513, 476, 273, 268, 547, 476, 273, 476, 272, 270, 273, 4458, 6040, 267, 476, 280, 585, 513, 476, 274, 4458, 6040, 267, 476, 1015, 585, 513, 476, 274, 476, 272, 270, 273, 4458, 6040, 267, 476, 1556, 585, 513, 476, 275, 476, 272, 270, 273, 4458, 6040, 543, 476, 1321, 585, 513, 476, 276, 4458, 6040, 563, 1692, 3533, 798, 20854, 856, 326, 992, 10887, 888, 11073, 326, 992, 741, 10887, 827, 1169, 476, 277, 3275, 269, 8866, 856, 326, 992, 741, 10887, 1447, 1419, 269, 23680, 10887, 1447, 5078, 585, 1688, 24578, 1673, 12495, 269, 5221, 540, 519, 2799, 5957, 543, 15237, 267, 519, 10887, 968, 332, 697, 581, 865, 12816, 856, 596, 666, 1406, 1688, 873, 1524, 2223, 29808, 595, 1470, 742, 328, 563, 1432, 2450, 21489, 568, 513, 476, 272, 1032, 2025, 888, 347, 7343, 6918, 1493, 6520, 6520, 1475, 31323, 1475, 20084, 2008, 347, 272, 1032, 1475, 736, 1107, 476, 2641, 1475, 275, 1107, 476, 275, 269, 276, 2008, 347, 273, 1032, 1475, 2420, 1107, 476, 2537, 1475, 276, 268, 277, 2008, 347, 274, 1032, 1475, 2190, 1107, 476, 1839, 1475, 278, 268, 279, 2008, 347, 275, 1032, 1475, 2918, 1107, 476, 2767, 1475, 279, 269, 276, 1107, 476, 280, 2008, 6701, 10867, 543, 22525, 21489, 7306, 519, 1482, 888, 19284, 2937, 7306, 267, 4816, 21489, 7306, 616, 519, 1482, 585, 1312, 6690, 543, 8695, 269, 17926, 21489, 7306, 616, 23658, 1538, 528, 1242, 883, 1346, 585, 29507, 630, 271, 268, 273, 3275, 1070, 12256, 630, 273, 268, 1321, 3275, 1070, 543, 20854, 630, 272, 268, 274, 1296, 1040, 9040, 625, 2356, 1376, 6972, 689, 476, 1015, 547, 476, 1240, 3275, 269, 1473, 14995, 267, 10887, 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 ]
[ 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 3017, 1063, 519, 2296, 20020, 543, 519, 8241, 20020, 454, 10214, 1369, 513, 2197, 1141, 2296, 568, 519, 5065, 1893, 972, 616, 1390, 3604, 538, 519, 20020, 269, 634, 1585, 2829, 267, 16899, 543, 17521, 1142, 723, 2189, 31126, 602, 2697, 873, 607, 2713, 538, 513, 1808, 4087, 269, 6931, 638, 1235, 2697, 1114, 2296, 31126, 607, 10362, 547, 519, 2477, 540, 519, 2136, 8003, 543, 8581, 267, 855, 972, 616, 1390, 3604, 2066, 4516, 543, 519, 1133, 2572, 2276, 607, 1134, 269, 769, 4789, 267, 972, 616, 1978, 4162, 540, 519, 20020, 602, 2697, 10529, 607, 1373, 689, 513, 1978, 3148, 269, 901, 568, 1946, 519, 6237, 31126, 616, 865, 1114, 538, 2477, 1141, 2296, 568, 519, 4013, 1893, 563, 288, 26894, 31126, 616, 1114, 689, 782, 1866, 269, 901, 568, 1317, 519, 2296, 1893, 602, 568, 9275, 538, 713, 2197, 6212, 593, 20020, 15070, 519, 24008, 538, 513, 2262, 269, 901, 5834, 593, 20262, 12332, 568, 2731, 519, 1292, 3017, 1063, 519, 2296, 20020, 540, 5245, 543, 602, 540, 6628, 269, 769, 519, 8241, 20020, 1913, 602, 1439, 538, 968, 599, 892, 616, 14733, 607, 968, 773, 892, 543, 519, 1279, 1315, 320, 270, 3280, 568, 14733, 607, 968, 2801, 9731, 2467, 568, 711, 1454, 8390, 538, 519, 8241, 20020, 689, 3148, 547, 3148, 267, 855, 972, 723, 1044, 930, 3604, 6592, 269, 23008, 1235, 2161, 602, 1346, 945, 2661, 538, 15117, 24969, 519, 3280, 540, 2110, 1315, 324, 270, 538, 1913, 607, 968, 323, 816, 892, 543, 968, 5523, 892, 568, 14733, 607, 968, 2801, 6100, 22966, 2044, 543, 14057, 3280, 7567, 269, 769, 5375, 5245, 267, 519, 2262, 968, 2041, 518, 892, 568, 14733, 538, 1079, 24424, 630, 2041, 1107, 2144, 1070, 855, 538, 17638, 519, 1315, 337, 270, 693, 519, 1439, 568, 14980, 865, 519, 2262, 4992, 899, 9232, 23331, 9731, 6624, 540, 519, 1482, 1913, 1031, 538, 6628, 616, 849, 1031, 538, 5245, 269, 1280, 1383, 513, 12740, 568, 606, 30981, 543, 519, 17657, 540, 513, 1286, 568, 513, 18849, 269, 2290, 540, 519, 1292, 4128, 585, 519, 3017, 1063, 519, 2296, 20020, 602, 596, 1131, 5873, 538, 6628, 543, 519, 8241, 20020, 568, 602, 519, 1004, 540, 5245, 946, 519, 1394, 540, 741, 11469, 538, 519, 12332, 540, 1913, 269, 901, 1797, 602, 789, 798, 711, 1847, 741, 17534, 513, 2603, 950, 789, 3717, 563, 763, 1004, 540, 6628, 798, 1847, 741, 17534, 950, 789, 3717, 543, 789, 1810, 1406, 946, 519, 1394, 540, 519, 11469, 547, 24969, 1913, 269, 26880, 1832, 519, 9133, 540, 741, 11469, 3833, 2673, 547, 519, 31370, 950, 789, 3717, 267, 855, 519, 2296, 798, 711, 798, 713, 269, 0, 21328, 26110, 543, 30896, 689, 476, 866, 2477, 723, 8149, 547, 519, 5137, 540, 519, 4000, 11162, 6052, 4856, 5090, 528, 1107, 799, 786, 3728, 3950, 519, 17293, 540, 7791, 1648, 543, 2743, 1648, 3747, 563, 6097, 547, 1520, 22974, 589, 2381, 267, 8689, 2489, 540, 594, 3918, 2793, 267, 519, 4139, 24997, 6052, 10837, 267, 968, 763, 4000, 11162, 6052, 4856, 5090, 528, 786, 1683, 519, 11782, 609, 519, 4316, 547, 20014, 325, 5766, 883, 513, 4264, 1648, 2104, 269, 634, 6422, 1646, 602, 4000, 786, 1294, 538, 519, 1985, 5756, 2115, 547, 8831, 547, 519, 1648, 5823, 267, 543, 4000, 779, 10731, 7791, 1648, 2200, 616, 513, 3501, 6474, 547, 2743, 8375, 3747, 538, 513, 4264, 543, 1942, 15807, 1259, 1107, 689, 595, 23879, 547, 15729, 16011, 3034, 2026, 3747, 5170, 547, 1332, 1107, 24584, 547, 17784, 538, 8828, 4000, 267, 543, 22712, 745, 921, 538, 5101, 4000, 267, 519, 3148, 1590, 2689, 621, 779, 21341, 593, 8093, 10173, 269, 589, 6237, 1935, 547, 3384, 519, 7791, 1648, 2200, 1058, 948, 5688, 1047, 519, 1648, 3575, 543, 4482, 5092, 563, 763, 4000, 11162, 6052, 4856, 5090, 528, 13976, 593, 267, 543, 8591, 547, 267, 519, 6771, 3060, 9788, 856, 538, 4540, 15961, 585, 5989, 1646, 538, 4000, 563, 10527, 4000, 11162, 6052, 4856, 5090, 528, 2337, 15407, 519, 16854, 4316, 602, 7791, 1648, 6799, 267, 585, 519, 1655, 540, 519, 3979, 2829, 543, 519, 3003, 11782, 2223, 670, 9950, 269, 589, 12661, 599, 12317, 340, 570, 1122, 523, 340, 267, 18629, 10579, 540, 4826, 267, 7054, 3419, 566, 543, 6052, 267, 1767, 269, 968, 763, 1249, 602, 594, 3918, 2793, 267, 609, 922, 2200, 543, 917, 24376, 267, 568, 2111, 547, 7520, 713, 1804, 8397, 267, 1098, 31215, 11036, 27313, 560, 919, 519, 2956, 540, 519, 13539, 585, 4000, 543, 519, 17293, 540, 5710, 1963, 3034, 763, 11059, 3397, 12629, 2882, 519, 8446, 540, 7791, 1379, 1646, 10851, 547, 12440, 7791, 2371, 538, 2127, 1164, 609, 7791, 4199, 1761, 282, 7471, 4199, 4058, 547, 1331, 3152, 8843, 540, 7791, 1648, 538, 519, 1648, 3575, 282, 1007, 14104, 3631, 543, 5092, 10850, 282, 1702, 543, 4390, 2679, 676, 594, 3918, 2793, 282, 543, 1857, 1344, 11044, 269, 0, 3528, 4911, 11253, 645, 2131, 3511, 529, 454, 7093, 1203, 11020, 20070, 3753, 2060, 11644, 454, 8253, 1152, 786, 3635, 1832, 707, 2247, 2635, 267, 855, 4274, 2161, 621, 786, 2061, 2634, 5945, 267, 1932, 269, 5525, 723, 3254, 602, 2834, 2168, 3635, 2337, 519, 11409, 540, 519, 2634, 7639, 269, 530, 23943, 2593, 3081, 3744, 3494, 621, 779, 1644, 547, 519, 27614, 540, 3606, 5135, 1282, 519, 3635, 269, 29303, 267, 585, 835, 267, 568, 513, 1390, 1259, 547, 1832, 707, 2634, 2635, 267, 609, 4966, 19101, 602, 4946, 12035, 547, 707, 15211, 1223, 798, 13300, 585, 707, 2247, 269, 32506, 689, 4677, 960, 547, 2777, 960, 666, 1832, 1312, 1560, 543, 2247, 538, 9133, 31795, 3337, 267, 865, 596, 723, 1100, 28195, 1107, 1018, 616, 596, 7996, 585, 888, 2467, 616, 865, 1082, 1187, 543, 2653, 2081, 547, 1832, 707, 2247, 538, 2638, 563, 272, 269, 7420, 23126, 22895, 958, 454, 32546, 2303, 1565, 513, 1007, 5578, 547, 1832, 707, 2247, 3742, 543, 5059, 269, 1924, 952, 972, 779, 4376, 596, 4076, 2479, 4941, 547, 1376, 3257, 267, 713, 568, 519, 942, 563, 25440, 2634, 3756, 281, 30573, 13410, 616, 711, 1175, 585, 519, 11361, 563, 303, 847, 1047, 8357, 5314, 543, 2119, 547, 8357, 1047, 1919, 899, 15146, 2338, 267, 4332, 17058, 267, 17365, 8638, 1107, 8726, 1568, 585, 596, 267, 1175, 1832, 1565, 543, 8357, 2358, 563, 8196, 707, 1863, 942, 547, 1224, 1107, 621, 4465, 1406, 1175, 2087, 707, 1702, 855, 786, 1832, 707, 2634, 25623, 543, 6126, 269, 9894, 596, 917, 602, 621, 2337, 3500, 519, 12614, 540, 12216, 779, 543, 12110, 888, 273, 269, 18918, 769, 4317, 11242, 912, 1805, 11691, 538, 5905, 609, 2828, 267, 1514, 2358, 267, 543, 24749, 707, 1863, 942, 786, 960, 13300, 585, 707, 2247, 269, 3502, 1152, 616, 596, 3478, 547, 2743, 1007, 1004, 543, 6108, 2298, 942, 609, 1346, 596, 2648, 267, 855, 596, 2461, 16715, 2566, 2157, 1247, 3257, 865, 269, 1924, 6049, 909, 602, 3659, 267, 610, 3434, 585, 1346, 538, 991, 1107, 1022, 1434, 632, 539, 540, 1514, 2358, 568, 513, 1434, 585, 596, 267, 1932, 269, 2755, 596, 2461, 693, 621, 267, 4228, 707, 1514, 5858, 267, 2161, 4966, 269, 4340, 547, 2090, 267, 2362, 2157, 540, 1514, 5872, 9305, 547, 2539, 4220, 540, 4057, 2790, 1072, 269, 0, 2791, 949, 849, 899, 4429, 303, 847, 1047, 24366, 590, 4953, 454, 5472, 476, 274, 540, 519, 2584, 665, 641, 4192, 2835, 538, 519, 4698, 1047, 24366, 10022, 454, 289, 18115, 5050, 14313, 585, 1210, 23559, 538, 519, 32213, 15858, 454, 26594, 4052, 2093, 6029, 3610, 543, 1489, 5234, 875, 789, 666, 946, 23559, 547, 5818, 519, 9740, 540, 782, 10453, 563, 306, 958, 5062, 11390, 1144, 267, 4911, 11253, 5062, 10908, 1662, 517, 563, 763, 21619, 20412, 807, 12754, 3883, 454, 11045, 15659, 1565, 7965, 538, 13174, 585, 6267, 9907, 476, 278, 268, 1691, 1296, 267, 945, 723, 7411, 609, 13004, 543, 2338, 269, 0, 2467, 568, 513, 1483, 27559, 547, 513, 1164, 2132, 593, 5092, 269, 7736, 1652, 8613, 3108, 543, 23749, 16060, 616, 6131, 547, 519, 29224, 7900, 6006, 610, 519, 1164, 1922, 2391, 10697, 1362, 540, 519, 5662, 563, 7212, 596, 4465, 1406, 1294, 873, 593, 519, 4395, 3817, 607, 1419, 607, 15170, 610, 6006, 267, 1164, 3917, 1752, 7554, 2709, 606, 4316, 547, 5732, 7118, 513, 2362, 2557, 540, 2132, 982, 5092, 17263, 7554, 563, 3719, 602, 2362, 4960, 693, 2132, 2501, 609, 930, 7222, 1981, 563, 5472, 9541, 2887, 12341, 2059, 519, 8552, 540, 1981, 543, 8007, 269, 2334, 779, 3274, 519, 2470, 540, 10115, 269, 769, 1931, 547, 2333, 519, 4960, 693, 513, 2362, 8007, 267, 606, 20090, 1590, 3622, 2333, 1981, 267, 543, 13030, 17930, 563, 11947, 3917, 1752, 7554, 616, 1100, 9868, 543, 723, 513, 2362, 10171, 540, 9949, 982, 5092, 17263, 7554, 269, 6884, 267, 789, 616, 1572, 968, 329, 6064, 7554, 3034, 11947, 3917, 1752, 7554, 616, 9783, 676, 14078, 602, 3111, 547, 3035, 519, 5491, 12773, 540, 811, 7123, 3549, 269, 2107, 267, 789, 4076, 1185, 741, 5491, 16863, 9419, 978, 24612, 563, 1607, 1522, 3142, 909, 1082, 2055, 585, 596, 281, 1548, 568, 513, 1164, 3917, 1752, 6125, 286, 1548, 616, 1164, 3917, 1752, 6125, 3928, 286, 1684, 1164, 3917, 1752, 7554, 1118, 2631, 585, 1250, 5092, 14769, 286, 898, 779, 1271, 547, 1376, 693, 519, 4098, 563, 2414, 1174, 1164, 3917, 1752, 7554, 267, 621, 2337, 547, 1101, 723, 513, 1434, 9787, 540, 7554, 538, 2489, 563, 289, 4637, 616, 2442, 609, 9520, 585, 1373, 6140, 2539, 1981, 982, 13632, 269, 2060, 7554, 267, 602, 2539, 1981, 2501, 538, 519, 1106, 540, 4389, 3902, 25359, 543, 513, 811, 22150, 6556, 563, 289, 4637, 1118, 909, 513, 2647, 10697, 1362, 602, 616, 9247, 9541, 538, 519, 7963, 540, 513, 2229, 1765, 325, 3985, 610, 2199, 29932, 513, 18294, 269, 1358, 1223, 849, 581, 1919, 899, 6180, 326, 1137, 610, 10081, 12029, 563, 5445, 616, 26437, 607, 513, 4579, 1063, 519, 1615, 21838, 630, 1492, 10210, 518, 264, 543, 519, 561, 2658, 630, 1492, 20090, 1040, 2060, 7554, 267, 596, 616, 9117, 607, 1312, 519, 561, 2658, 543, 519, 20090, 269, 2334, 779, 1946, 7554, 616, 849, 5219, 547, 607, 7963, 7405, 563, 30025, 7554, 2097, 538, 1896, 8677, 269, 645, 4637, 9783, 676, 519, 772, 2529, 269, 5313, 2229, 616, 1419, 1572, 27308, 7554, 267, 610, 7066, 553, 584, 903, 269, 645, 4637, 9783, 676, 1533, 610, 2749, 6608, 616, 1572, 18513, 7554, 563, 290, 2734, 622, 7554, 616, 9783, 676, 14078, 269, 6787, 513, 6125, 568, 9783, 676, 513, 2229, 610, 513, 18294, 267, 789, 616, 3257, 865, 547, 6318, 2724, 585, 930, 3483, 1765, 3286, 899, 952, 596, 941, 547, 1491, 856, 513, 10211, 563, 763, 2557, 540, 2132, 602, 606, 20090, 2306, 593, 513, 6125, 568, 519, 2557, 540, 1719, 519, 1615, 21838, 17188, 593, 741, 7963, 7132, 519, 2333, 538, 1871, 950, 519, 6125, 568, 4421, 689, 950, 621, 729, 12349, 269, 634, 20090, 6411, 607, 519, 4871, 538, 713, 11834, 267, 1818, 513, 10211, 538, 1931, 547, 7118, 513, 7150, 2557, 540, 1719, 593, 602, 10211, 563, 2791, 949, 5873, 519, 1719, 2557, 593, 513, 6125, 5219, 547, 607, 519, 19420, 517, 2557, 269, 4107, 7554, 1118, 1719, 11033, 1765, 322, 19281, 517, 11033, 1765, 13512, 823, 12422, 269, 769, 519, 840, 26367, 2395, 267, 7554, 941, 2168, 4773, 540, 1957, 602, 1185, 19420, 976, 602, 596, 8910, 2965, 18009, 1055, 543, 5385, 585, 707, 8569, 267, 8754, 519, 2012, 563, 2791, 3580, 849, 5873, 7554, 4122, 5219, 547, 607, 6378, 13867, 9541, 269, 2334, 779, 1317, 519, 1719, 593, 513, 6125, 568, 24441, 543, 786, 711, 1689, 267, 1256, 607, 6990, 11385, 622, 269, 1280, 1383, 267, 952, 513, 476, 736, 4458, 6125, 568, 9783, 609, 513, 476, 274, 260, 1719, 2557, 267, 602, 1719, 2557, 568, 1305, 543, 786, 711, 1689, 2429, 519, 1272, 540, 602, 6125, 563, 24718, 713, 547, 8843, 540, 1455, 6006, 267, 1141, 1256, 519, 26318, 8569, 568, 711, 16798, 269, 901, 568, 711, 547, 2161, 602, 596, 666, 1406, 6336, 2724, 10115, 538, 7554, 269, 4014, 519, 1719, 2557, 593, 519, 6125, 1281, 711, 1689, 267, 519, 5817, 3902, 540, 519, 6125, 666, 1689, 269, 4475, 267, 621, 568, 2009, 547, 1995, 2942, 7024, 609, 513, 6125, 5092, 563, 289, 1180, 5777, 949, 18956, 538, 606, 1604, 540, 8375, 1719, 3928, 1765, 10472 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14450, 1631, 543, 596, 1589, 596, 1131, 899, 547, 723, 513, 979, 693, 3395, 707, 1378, 23984, 541, 650, 657, 267, 1934, 616, 930, 4388, 585, 4466, 519, 3501, 5544, 269, 594, 723, 2938, 513, 1906, 11255, 3283, 602, 2408, 547, 581, 827, 476, 277, 1922, 324, 564, 7381, 269, 1403, 596, 616, 3395, 2836, 600, 753, 328, 538, 513, 8708, 267, 1118, 2386, 547, 946, 835, 602, 568, 693, 2547, 476, 1240, 6279, 540, 8700, 543, 476, 2190, 6279, 540, 3178, 269, 19130, 519, 911, 903, 476, 274, 270, 275, 2407, 540, 519, 7848, 269, 1215, 547, 1332, 513, 23984, 541, 785, 3529, 689, 6079, 910, 18789, 11473, 910, 13334, 1809, 519, 2160, 540, 8419, 17692, 3008, 22362, 4967, 602, 930, 4054, 949, 3132, 2789, 959, 16218, 602, 723, 13626, 538, 7501, 269, 13575, 789, 2661, 538, 519, 811, 7187, 804, 1307, 267, 543, 3142, 741, 4054, 16280, 950, 30148, 1661, 1186, 1205, 547, 519, 476, 3393, 293, 2039, 269, 3371, 568, 513, 23984, 541, 785, 6079, 1782, 269, 31666, 566, 540, 23111, 541, 785, 2371, 281, 23111, 541, 785, 568, 9070, 730, 998, 5452, 267, 21910, 338, 267, 543, 14609, 902, 269, 898, 568, 513, 3407, 1879, 547, 3399, 12182, 3212, 3899, 25994, 269, 898, 2356, 3217, 827, 1079, 1296, 585, 21910, 539, 8260, 18288, 4054, 547, 3132, 4829, 855, 621, 779, 9090, 4502, 519, 7227, 547, 7556, 707, 1378, 1753, 3766, 3497, 8260, 541, 1231, 269, 3962, 942, 596, 1216, 513, 1762, 3529, 267, 7147, 589, 261, 300, 11206, 6796, 15565, 11423, 519, 16935, 267, 15603, 519, 1216, 27653, 883, 519, 2666, 543, 11423, 519, 16935, 1586, 269, 594, 10093, 13651, 21485, 339, 849, 2938, 513, 1617, 527, 337, 6064, 539, 23984, 541, 785, 2479, 8627, 26008, 269, 21690, 23111, 541, 785, 19029, 666, 581, 6738, 538, 782, 476, 2004, 2829, 3274, 676, 8744, 16280, 1354, 1661, 1186, 6749, 2630, 476, 2412, 5232, 543, 3246, 6266, 540, 1769, 269, 23111, 541, 785, 639, 1473, 3821, 4054, 1058, 581, 4547, 16280, 610, 6870, 1282, 519, 5162, 3275, 269, 590, 1723, 641, 519, 5452, 856, 609, 707, 11263, 543, 1747, 873, 593, 513, 1957, 24621, 269, 6145, 513, 9910, 267, 3818, 10981, 5523, 22481, 267, 519, 4829, 568, 827, 519, 2450, 540, 513, 20034, 543, 12779, 890, 778, 11399, 1052, 950, 22691, 269, 1684, 711, 1216, 519, 2030, 1282, 5162, 269, 4706, 2699, 610, 5835, 5810, 602, 16036, 538, 5614, 616, 711, 1360, 1397, 344, 267, 543, 596, 2461, 811, 2693, 547, 5469, 519, 21167, 6438, 6079, 10540, 338, 602, 1106, 1310, 519, 5810, 28201, 269, 1809, 5310, 922, 1655, 8153, 14487, 568, 602, 621, 849, 12217, 4829, 269, 5410, 3606, 1216, 607, 2877, 547, 2061, 519, 3037, 689, 15018, 856, 269, 901, 9341, 2030, 568, 2147, 547, 20909, 543, 7472, 29127, 2345, 269, 9255, 621, 827, 1079, 6279, 2630, 519, 2627, 540, 519, 3037, 267, 609, 519, 19512, 6849, 909, 269, 7427, 519, 13226, 6165, 5528, 543, 1216, 707, 2030, 18113, 269, 1411, 666, 1294, 519, 6960, 5452, 538, 519, 5580, 1318, 1688, 7944, 269, 6423, 811, 2093, 827, 23111, 541, 785, 267, 19663, 267, 23111, 541, 785, 2030, 269, 5590, 519, 12826, 11735, 543, 1450, 519, 5452, 547, 27653, 585, 1079, 547, 1614, 3108, 269, 1677, 1118, 513, 1216, 16935, 267, 1628, 519, 3037, 909, 1896, 6279, 547, 1106, 513, 6659, 536, 1069, 1472, 519, 3529, 779, 3597, 3440, 269, 4014, 922, 5065, 7226, 568, 2066, 9341, 4525, 538, 4000, 267, 23984, 541, 785, 849, 605, 4944, 619, 538, 772, 2529, 269, 4972, 540, 11982, 2030, 2182, 1465, 10851, 476, 1015, 543, 476, 1556, 269, 2904, 476, 2767, 267, 476, 1001, 280, 910, 10812, 9291, 30197, 781, 4604, 834, 31995, 23111, 541, 785, 257, 593, 26964, 269, 4107, 9341, 4829, 4054, 899, 21690, 23111, 541, 785, 19029, 616, 1360, 3728, 3395, 543, 4443, 547, 2226, 982, 6469, 4829, 4054, 269, 23111, 541, 785, 5452, 616, 2653, 547, 10351, 3729, 543, 1332, 609, 713, 1007, 1505, 602, 594, 4312, 4362, 269, 9255, 519, 23984, 541, 785, 5452, 5196, 519, 2627, 540, 519, 3037, 19437, 873, 693, 3160, 9883, 6306, 269, 8830, 16746, 15565, 19437, 4054, 689, 476, 3451, 547, 476, 4792, 3952, 6306, 267, 543, 519, 2160, 540, 8419, 17692, 3008, 22362, 15565, 9544, 4054, 693, 2547, 476, 274, 3952, 689, 2427, 19789, 802, 543, 824, 22409, 7870, 547, 1450, 585, 2635, 3597, 2208, 269, 4495, 707, 23984, 541, 785, 3529, 568, 9921, 267, 596, 949, 1152, 991, 547, 1216, 621, 2899, 610, 7466, 513, 3923, 952, 11811, 3085, 1405, 3761, 2614, 7509, 269, 6744, 621, 856, 267, 1250, 23984, 541, 785, 814, 16036, 539, 269, 19130, 707, 17428, 609, 3638, 5214, 3037, 267, 799, 568, 21066, 5848, 855, 1134, 27071, 269, 1280, 3395, 23984, 541, 785, 3267, 4826, 532, 269, 3509, 1004, 723, 6707, 6738, 23984, 541, 785, 338, 16280, 269, 645, 976, 2967, 269, 1403, 519, 6079, 26745, 814, 735, 25902, 267, 1747, 1079, 547, 1614, 5452, 538, 1142, 26654, 269, 898, 779, 5827, 540, 3395, 909, 547, 513, 4463, 540, 476, 1839, 7397, 543, 609, 513, 18592, 540, 476, 278, 7397, 269, 1215, 547, 22320, 513, 23111, 541, 785, 10326, 269, 5590, 519, 17428, 2282, 513, 6885, 602, 11392, 9940, 7943, 543, 814, 513, 2837, 540, 693, 2547, 476, 736, 5232, 17622, 269, 594, 1616, 547, 1205, 930, 2030, 3002, 335, 6758, 543, 849, 1628, 606, 11255, 3039, 2777, 609, 519, 1332, 8279, 267, 2094, 513, 1906, 540, 1250, 824, 3785, 899, 519, 533, 727, 28699, 622, 5749, 1406, 3395, 607, 1134, 607, 594, 8910, 899, 873, 547, 2901, 269, 19130, 513, 1507, 12826, 3368, 2407, 540, 3636, 7148, 1216, 543, 1747, 519, 23984, 541, 785, 5452, 883, 621, 269, 3657, 596, 3222, 540, 11204, 23111, 541, 785, 1107, 2871, 600, 1276, 559, 630, 303, 30965, 3250, 984, 1756, 546, 592, 576, 21663, 1607, 568, 538, 519, 1482, 7731, 607, 3020, 23111, 541, 785, 630, 307, 600, 541, 785, 639, 2512, 320, 1070, 543, 519, 4195, 8137, 568, 9120, 547, 519, 12015, 4095, 24996, 15660, 8057, 713, 2030, 693, 1250, 3105, 1753, 538, 28234, 11155, 6755, 553, 10181, 657, 543, 4421, 827, 476, 1428, 513, 1032, 538, 1250, 21543, 1870, 269, 769, 1360, 4411, 10851, 513, 8708, 1242, 21690, 23111, 541, 785, 269, 1452, 538, 7501, 616, 12311, 2471, 540, 13626, 602, 1106, 538, 519, 1858, 1063, 519, 959, 16218, 267, 610, 1063, 513, 1292, 17657, 543, 513, 7936, 267, 799, 666, 14020, 513, 3529, 269, 2672, 764, 12040, 29972, 645, 976, 2967, 12567, 2672, 764, 12040, 6833, 337, 10740, 31896, 2672, 764, 28684, 29597, 518, 29972, 645, 976, 2967, 3203, 4173, 321, 12567, 2672, 764, 28684, 769, 2560, 1280, 6099, 1072, 543, 2208, 267, 23984, 541, 785, 2115, 513, 2407, 1606, 684, 4087, 269, 5565, 1271, 4632, 602, 3310, 950, 596, 3580, 991, 547, 1216, 707, 23984, 541, 785, 3529, 267, 543, 875, 1454, 1216, 547, 2285, 621, 267, 616, 942, 540, 1032, 543, 1826, 540, 3037, 269, 17857, 3557, 2160, 22362, 11225, 2407, 3141, 607, 3246, 693, 2547, 3670, 3108, 540, 1463, 7943, 1142, 1554, 538, 519, 4832, 269, 5695, 1337, 1281, 711, 29608, 5452, 269, 4033, 982, 922, 964, 4275, 321, 1006, 607, 513, 1804, 12094, 3529, 267, 972, 616, 824, 23984, 541, 785, 2640, 269, 4706, 28033, 16714, 568, 865, 5394, 602, 621, 779, 15951, 968, 854, 10053, 892, 585, 922, 27864, 4390, 267, 2687, 547, 4993, 12443, 23855, 545, 3557, 2160, 779, 12124, 11206, 23270, 338, 4659, 269, 5269, 2386, 519, 3529, 779, 8371, 602, 616, 3395, 689, 519, 3844, 17657, 616, 22274, 6306, 3079, 540, 3395, 1927, 269, 1306, 513, 2182, 6229, 3529, 267, 519, 29421, 689, 23984, 541, 785, 568, 1031, 538, 1818, 11647, 543, 20614, 3574, 2472, 971, 607, 1286, 19133, 543, 14299, 4771, 7161, 269, 6271, 2601, 602, 621, 781, 1271, 547, 723, 513, 3037, 1449, 1354, 6992, 1944, 707, 3529, 568, 23984, 541, 785, 779, 991, 585, 2890, 324, 6123, 267, 971, 607, 4401, 267, 799, 949, 581, 15877, 538, 22279, 11934, 269, 10281, 1886, 4577, 3039, 17346, 666, 3132, 3677, 11729, 982, 513, 2757, 8511, 855, 585, 5021, 1967, 519, 1332, 518, 1590, 1174, 1018, 547, 1332, 543, 1018, 711, 547, 1332, 269, 8729, 256, 4985, 547, 19663, 21582, 701, 553, 21582, 701, 320, 568, 606, 5993, 10786, 543, 568, 4122, 16916, 5631, 585, 922, 3940, 11656, 5452, 269, 23111, 541, 785, 630, 307, 600, 541, 785, 639, 2512, 320, 700, 4700, 568, 513, 9341, 3529, 602, 568, 5065, 547, 4000, 269, 23111, 541, 785, 607, 645, 976, 2967, 901, 568, 930, 1344, 827, 3395, 23111, 541, 785, 630, 307, 600, 541, 785, 639, 1473, 3821, 264, 607, 513, 536, 976, 2967, 3529, 543, 3257, 621, 689, 6079, 269, 4087, 910, 21690, 23111, 541, 785, 19029, 666, 581, 6738, 538, 782, 476, 2004, 2829, 3274, 676, 8744, 16280, 1354, 1661, 1186, 6749, 2630, 476, 2412, 5232, 543, 3246, 6266, 540, 1769, 269, 898, 814, 1044, 835, 3923, 2094, 621, 17708, 1540, 543, 621, 779, 711, 3395, 1022, 8273, 269, 594, 8969, 713, 6079, 1782, 786, 3132, 6653, 5613, 855, 6148, 594, 3513, 1205, 18822, 269, 898, 9428, 538, 3592, 782, 3037, 2010, 543, 2115, 6505, 7943, 547, 1332, 269, 23111, 541, 785, 3884, 1406, 1932, 535, 1380, 344, 827, 519, 1826, 540, 3037, 593, 799, 621, 779, 12630, 269, 2334, 781, 1360, 11141, 602, 596, 1223, 1332, 23984, 541, 785, 538, 4411, 4365, 899, 602, 269, 1306, 621, 1319, 999, 267, 513, 23984, 541, 785, 3529, 6923, 9428, 883, 922, 8984, 17031, 610, 642, 848, 3337, 267, 799, 3091, 513, 2603, 540, 12094, 896, 922, 10053, 24588, 269, 634, 23111, 541, 785, 568, 1279, 24331, 543, 3500, 3395, 269, 19029, 1332, 865, 7381, 602, 621, 779, 791, 24411, 547, 7556, 873, 16924, 282, 596, 3580, 723, 547, 7227, 2394, 519, 4829, 8813, 689, 4054, 547, 7556, 621, 269, 19663, 23111, 541, 785, 25994, 594, 12630, 1614, 811, 23984, 541, 785, 5452, 543, 865, 2484, 1079, 723, 2097, 909, 269, 7612, 323, 856, 875, 547, 1332, 10370, 3832, 324, 713, 3529, 9428, 1655, 538, 6632, 2807, 1744, 1228, 540, 26339, 4054, 543, 267, 998, 922, 1272, 3395, 23984, 541, 785, 16280, 519, 12094, 540, 26339, 4054, 543, 267, 998, 922, 28011, 589, 3529, 547, 3035, 713, 14909, 14487, 2182, 6229, 3529, 267, 594, 1185, 547, 1413, 621, 909, 513, 602, 269, 31661, 602, 621, 605, 4944, 619, 593, 15417, 267, 782, 12320, 658, 3037, 602, 568, 5065, 547, 4000, 11783, 9509, 7943, 513, 1007, 3162, 12986, 543, 24368, 22986, 25165, 1634, 585, 15962, 519, 16280, 267, 1312, 2175, 269, 589, 1390, 3903, 547, 1376, 856, 519, 4829, 11313, 521, 14624, 547, 3636, 568, 1862, 4354, 1845, 267, 31496, 267, 16098, 543, 27156, 267, 1519, 1937, 806, 1562, 10921, 14036, 3395, 23984, 541, 785, 16280, 519, 1259, 547, 519, 1360, 11315, 269, 3657, 711, 6099, 543, 519, 2030, 1058, 581, 6569, 4365, 865, 1832, 530, 23926, 1862, 15020, 10694, 11315, 13626, 602, 621, 849, 12217, 4829, 476, 7277, 273, 568, 1869, 7555, 6148, 594, 1412, 961, 1205, 18822, 6445, 13719, 269, 31666, 730, 676, 5452, 602, 616, 3395, 689, 519, 2160, 540, 11908, 543, 3459, 1603, 24015, 476, 1220, 272, 269, 8648, 2394, 596, 723, 513, 968, 1745, 9232, 585, 875, 1419, 547, 1216, 707, 2030, 18113, 513, 1216, 16935, 1628, 1862, 25994, 11053, 2354, 547, 1451, 689, 6079, 5542, 12391, 693, 1114, 5933, 18309, 11443, 1065, 31857, 3092, 1224, 689, 713, 2807, 2290, 1032, 1354, 13003, 532, 873, 3544, 693, 7581, 916, 517, 2160, 267, 4563, 7723, 729, 513, 6079, 1782, 6738, 689, 29127, 2345, 630, 12338, 14005, 269, 2659, 2199, 1072, 8637, 971, 607, 1286, 19133, 543, 14299, 4771, 7161, 4411, 4365, 899, 602, 26763, 610, 16702, 707, 18309, 538, 1862, 7233, 12217, 3501, 5810, 1818, 11647, 543, 20614, 3574, 2472, 971, 607, 543, 1862, 769, 17428, 29018, 3597, 799, 596, 666, 849, 1039, 23226, 610, 11003, 707, 256, 12338, 14005, 3738, 9341, 2030, 568, 11658, 547, 513, 4463, 540, 476, 1839, 7397, 543, 609, 513, 18592, 540, 476, 278, 23511, 1656, 5418, 9778, 540, 1272, 17692, 3008, 22362, 4967, 602, 930, 4054, 949, 3132, 2789, 959, 16218, 602, 723, 13626, 538, 7501, 4829, 1862, 281, 476, 278, 2371, 602, 3142, 3983, 9939, 547, 707, 2030, 18113, 538, 6632, 3037, 17428, 2282, 513, 6885, 602, 9940, 269, 8899, 1416, 2030, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2691, 12984, 2142, 518, 18023, 539, 286, 3807, 1354, 519, 13793, 1478, 269, 28514, 267, 2965, 14420, 7389, 1394, 547, 519, 21554, 540, 23611, 6683, 267, 22942, 539, 693, 4989, 476, 2537, 267, 10441, 4391, 645, 5861, 9950, 269, 538, 3504, 27859, 267, 519, 3148, 540, 22236, 5607, 4867, 13026, 676, 12925, 269, 14880, 2871, 514, 1145, 729, 2451, 11278, 1911, 538, 519, 786, 540, 5246, 29989, 12313, 865, 1223, 6488, 11776, 547, 8581, 269, 8422, 1296, 2663, 646, 1305, 909, 538, 1870, 607, 513, 1786, 4546, 538, 513, 1804, 13946, 1175, 476, 1704, 14790, 689, 25212, 607, 519, 623, 614, 13239, 24363, 269, 0, 289, 582, 19680, 2107, 577, 1749, 543, 875, 547, 22320, 23067, 454, 1607, 1433, 9607, 519, 2930, 2115, 540, 519, 30497, 28722, 27423, 538, 7446, 2249, 3617, 547, 519, 2916, 543, 6703, 2139, 267, 607, 1134, 607, 13057, 519, 19444, 538, 519, 9238, 540, 28722, 14713, 269, 834, 763, 3992, 547, 581, 4121, 568, 602, 596, 666, 6707, 6318, 30597, 607, 1279, 607, 596, 2824, 519, 2249, 3617, 547, 707, 3395, 1604, 267, 2436, 602, 568, 513, 11122, 2218, 267, 8511, 267, 4677, 4055, 610, 6885, 1606, 650, 538, 707, 1753, 1701, 589, 2101, 4183, 540, 519, 1433, 568, 519, 20155, 540, 2107, 577, 1749, 799, 6227, 936, 476, 12573, 1114, 27386, 30597, 267, 1082, 540, 873, 11609, 269, 15636, 19680, 2107, 577, 1749, 3568, 4052, 5796, 267, 1686, 543, 2653, 3562, 14025, 4704, 1570, 543, 786, 581, 513, 10950, 1840, 547, 519, 32529, 781, 5399, 563, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 289, 582, 19680, 2107, 577, 1749, 27165, 5623, 910, 3502, 12232, 910, 3883, 7638, 18743, 454, 288, 14713, 3391, 547, 834, 15318, 19680, 30597, 257, 734, 333, 6334, 9648, 28722, 2249, 267, 711, 29528, 734, 332, 755, 8209, 581, 5730, 543, 2143, 267, 2016, 519, 1360, 1880, 3395, 4170, 602, 891, 3810, 3267, 3367, 2407, 2689, 454, 21132, 12856, 543, 1215, 621, 717, 4900, 454, 8489, 2107, 577, 1749, 22320, 454, 277, 824, 6810, 711, 3254, 0, 30547, 540, 5261, 594, 454, 268, 12462, 1492, 1230, 20960, 528, 14615, 476, 9083, 278, 1700, 9262, 267, 5918, 651, 540, 11870, 22929, 476, 9818, 276, 1700, 9262, 282, 4622, 540, 4789, 476, 11793, 277, 1700, 9262, 630, 5459, 540, 7917, 594, 267, 5918, 651, 540, 11870, 22929, 1916, 268, 630, 19365, 594, 540, 21060, 264, 12462, 1492, 8125, 550, 14615, 476, 14631, 274, 1700, 10019, 267, 10656, 6205, 267, 2829, 2006, 267, 543, 12316, 6205, 4535, 538, 5125, 281, 19036, 540, 21060, 476, 15150, 275, 1700, 10019, 282, 1293, 540, 715, 817, 879, 476, 14028, 280, 1700, 10019, 282, 476, 272, 560, 588, 611, 14516, 540, 519, 2136, 28393, 806, 540, 519, 13814, 476, 14991, 279, 1700, 10019, 563, 268, 630, 310, 559, 25030, 26179, 32400, 264, 476, 9692, 278, 1700, 6642, 279, 267, 3751, 540, 2398, 17892, 476, 5908, 272, 1700, 6434, 282, 17169, 540, 5125, 476, 6942, 272, 1700, 6434, 630, 15842, 750, 540, 19291, 5261, 10001, 1916, 268, 5261, 594, 630, 763, 28445, 264, 0, 10831, 9612, 962, 275, 281, 5269, 476, 1321, 454, 2690, 713, 1297, 3406, 4976, 267, 1053, 1265, 543, 5031, 693, 2547, 476, 1321, 1840, 267, 12408, 267, 8691, 543, 5924, 6498, 2979, 2042, 602, 1118, 519, 2040, 540, 476, 1321, 563, 274, 14358, 476, 275, 20042, 454, 307, 523, 6363, 29707, 1107, 589, 10632, 13979, 547, 7089, 23281, 454, 257, 1692, 666, 596, 948, 1053, 14650, 2338, 538, 513, 1259, 602, 568, 15095, 609, 938, 3490, 268, 1084, 1297, 1062, 8119, 634, 2626, 568, 2241, 281, 946, 4557, 1922, 29707, 269, 6787, 789, 2811, 1373, 1031, 607, 513, 851, 540, 4928, 13467, 610, 607, 14292, 2645, 267, 713, 2483, 298, 910, 476, 274, 6113, 4569, 18938, 281, 24623, 454, 19859, 8566, 324, 2762, 540, 519, 7089, 7412, 454, 21930, 22697, 4685, 883, 519, 1297, 1899, 547, 3605, 17447, 543, 875, 519, 2338, 28222, 1205, 4130, 538, 1063, 269, 1358, 4945, 519, 24680, 7735, 513, 1906, 2053, 543, 1451, 602, 519, 1297, 1899, 3085, 1405, 1175, 3247, 693, 9981, 269, 22291, 513, 2483, 276, 628, 910, 476, 279, 628, 4569, 18938, 281, 24623, 454, 9802, 534, 9119, 543, 15339, 454, 12648, 1762, 5640, 593, 513, 7552, 998, 1686, 609, 713, 1770, 593, 519, 6128, 543, 6189, 540, 519, 2904, 534, 10340, 269, 18786, 609, 513, 4367, 547, 741, 3490, 8938, 1297, 1062, 543, 519, 6698, 789, 1031, 267, 713, 5216, 268, 1652, 517, 1770, 2483, 275, 628, 910, 476, 279, 628, 4569, 18938, 281, 24623, 454, 298, 268, 276, 9119, 21602, 281, 7089, 543, 7089, 23281, 454, 3725, 514, 4403, 1297, 2631, 609, 513, 4015, 540, 2979, 4245, 585, 9656, 619, 998, 11359, 17603, 269, 8479, 22697, 1491, 851, 538, 3946, 6823, 2238, 267, 1565, 3756, 267, 543, 2347, 1983, 2861, 3211, 547, 3986, 15334, 538, 2483, 298, 910, 476, 276, 628, 4569, 18938, 281, 24623, 454, 15761, 754, 513, 26271, 4635, 513, 7089, 7412, 454, 11754, 3178, 547, 707, 1362, 262, 1620, 540, 8454, 609, 3381, 5722, 540, 713, 8370, 12268, 3126, 269, 8490, 593, 1991, 1995, 8204, 8454, 593, 1297, 3515, 267, 1762, 22697, 1451, 547, 2697, 543, 8831, 3270, 5473, 519, 2483, 276, 25008, 476, 274, 6113, 910, 476, 276, 628, 4569, 18938, 281, 23850, 0, 306, 20488, 10003, 2961, 24170, 454, 10743, 3313, 875, 519, 13664, 2934, 540, 519, 28010, 10003, 4123, 8905, 8329, 547, 519, 2804, 1646, 543, 18236, 540, 2528, 538, 1312, 8109, 543, 5375, 6406, 3074, 563, 5325, 14358, 476, 5038, 20042, 454, 6124, 5623, 8551, 540, 519, 9099, 2622, 454, 9596, 811, 827, 519, 1686, 543, 2947, 22225, 540, 5771, 609, 606, 3573, 4199, 602, 6212, 593, 519, 4984, 781, 4276, 547, 1148, 269, 29760, 593, 30951, 267, 20955, 267, 543, 6189, 267, 519, 17142, 14550, 519, 5898, 540, 519, 7499, 2483, 280, 628, 910, 476, 1321, 628, 4317, 5525, 1299, 3778, 18938, 281, 24623, 454, 297, 712, 2284, 13966, 519, 28010, 10003, 281, 5675, 2659, 13574, 681, 8811, 5055, 267, 610, 13488, 4750, 454, 10743, 1020, 2596, 1382, 543, 1603, 1983, 269, 1358, 2263, 543, 4612, 543, 1118, 7851, 269, 4841, 1020, 513, 2518, 5133, 269, 4746, 2875, 2263, 519, 3347, 1063, 11585, 267, 2916, 543, 519, 2470, 540, 1585, 7239, 563, 280, 628, 910, 476, 1321, 628, 4317, 5525, 1299, 3778, 454, 307, 15665, 538, 519, 28010, 10003, 338, 20079, 454, 10743, 2263, 2609, 540, 4123, 2059, 519, 28010, 10003, 338, 676, 6313, 2472, 540, 1585, 6753, 2059, 519, 8905, 267, 2504, 267, 7506, 540, 2200, 543, 1604, 267, 2591, 540, 6283, 267, 543, 2804, 5385, 282, 1053, 1287, 2483, 277, 628, 910, 476, 1321, 628, 4317, 5525, 1299, 3778, 454, 307, 8565, 538, 519, 28010, 10003, 20079, 454, 10743, 946, 5616, 3047, 547, 4786, 4872, 2059, 519, 28010, 10003, 4123, 8905, 269, 769, 713, 28010, 10003, 9467, 14292, 2534, 267, 1053, 2347, 513, 4976, 6313, 2504, 267, 6283, 267, 543, 1871, 540, 5370, 543, 1382, 4123, 3688, 19601, 277, 628, 910, 476, 280, 628, 4317, 5525, 1299, 3778, 454, 306, 20488, 10003, 338, 8262, 10934, 281, 589, 28010, 10003, 338, 7402, 12420, 5741, 454, 10743, 616, 5189, 547, 519, 28010, 10003, 543, 922, 3483, 269, 4635, 513, 4786, 7291, 267, 789, 1711, 606, 16136, 1242, 18187, 320, 540, 519, 28010, 10003, 689, 2342, 547, 5607, 269, 1358, 1039, 2797, 543, 2168, 2934, 547, 519, 4786, 2059, 609, 519, 11507, 540, 17631, 563, 274, 6113, 910, 476, 1321, 628, 10439, 1299, 27400, 8551, 0, 4415, 476, 1001, 277, 3297, 721, 267, 1082, 616, 3168, 6619, 547, 476, 1001, 278, 269, 1284, 1616, 547, 917, 1018, 781, 4947, 269, 1548, 781, 519, 1985, 2462, 968, 527, 892, 15904, 610, 9716, 5009, 1426, 649, 3513, 782, 581, 804, 600, 1681, 585, 538, 519, 4947, 1032, 286, 4340, 547, 519, 6115, 5403, 267, 835, 5672, 1258, 22021, 786, 3136, 547, 19542, 281, 3940, 269, 1809, 267, 713, 942, 267, 609, 513, 6335, 269, 7233, 3940, 568, 4397, 547, 1491, 4099, 3942, 538, 519, 4947, 1032, 563, 29394, 781, 17785, 281, 1411, 949, 849, 1616, 547, 2638, 856, 18639, 22210, 13379, 13809, 910, 14160, 27912, 28313, 2336, 4407, 2030, 3940, 568, 4986, 1007, 267, 519, 3007, 621, 781, 8391, 607, 649, 1847, 883, 519, 1007, 1032, 6157, 568, 269, 1411, 666, 2503, 547, 1294, 3549, 543, 22730, 6220, 621, 538, 3209, 2081, 563, 15371, 596, 2811, 3168, 585, 513, 811, 13476, 7874, 1259, 547, 2743, 707, 3940, 2115, 267, 1223, 946, 930, 3099, 538, 707, 2732, 267, 610, 1616, 547, 1205, 538, 593, 519, 1072, 2640, 540, 2030, 2861, 3940, 2959, 267, 713, 2376, 786, 2285, 596, 519, 9623, 596, 991, 563, 24456, 19871, 5288, 10960, 19871, 454, 23777, 1227, 950, 2576, 14659, 540, 3940, 11656, 3536, 267, 519, 1101, 1919, 547, 2501, 547, 741, 2247, 616, 3662, 2959, 899, 9269, 267, 14132, 267, 5798, 267, 10683, 267, 3165, 267, 543, 20230, 269, 9320, 1256, 3940, 32340, 269, 7233, 2861, 5079, 949, 5555, 3444, 741, 2247, 267, 855, 711, 7620, 269, 1656, 2356, 741, 7334, 952, 2030, 3940, 568, 607, 1434, 540, 513, 3903, 607, 3662, 3940, 563, 2690, 930, 2601, 267, 2030, 3940, 2959, 723, 513, 10639, 607, 1373, 17071, 547, 3662, 2959, 269, 1809, 602, 7948, 1405, 581, 2417, 689, 519, 5168, 269, 2353, 3940, 616, 1500, 909, 540, 11254, 7408, 269, 1656, 2436, 519, 3940, 568, 689, 513, 2030, 610, 606, 3662, 2707, 267, 938, 9667, 1062, 9397, 519, 3940, 1524, 883, 11254, 7408, 269, 898, 781, 1346, 11254, 7408, 707, 1560, 2306, 946, 540, 585, 1082, 540, 922, 3252, 9453, 873, 267, 4887, 7816, 267, 9449, 10282, 267, 543, 10408, 1599, 1131, 4625, 23881, 614, 563, 22818, 519, 2601, 2030, 2959, 540, 11254, 7408, 10093, 1405, 2141, 4607, 519, 1482, 1377, 540, 3007, 543, 31449, 607, 3662, 2959, 568, 519, 26240, 5652, 543, 2182, 547, 21199, 2856, 602, 2030, 5946, 723, 547, 581, 5916, 693, 782, 6980, 269, 898, 781, 942, 547, 8774, 930, 1769, 593, 519, 1884, 1172, 730, 630, 663, 11234, 264, 14911, 3940, 3069, 563, 763, 18266, 6168, 7388, 29232, 26287, 1231, 543, 19871, 26157, 454, 4467, 921, 29232, 5946, 267, 610, 3940, 9256, 267, 568, 519, 2856, 602, 2030, 2959, 540, 3940, 616, 18106, 269, 1358, 616, 1767, 547, 581, 18106, 1317, 789, 2811, 7508, 610, 1970, 538, 835, 610, 811, 540, 519, 1898, 11254, 7408, 563, 3383, 1759, 593, 519, 968, 514, 1260, 921, 28467, 892, 540, 519, 11254, 3679, 9043, 540, 1034, 2030, 2861, 1426, 267, 3744, 543, 6484, 4966, 4956, 891, 2030, 2861, 3536, 1131, 991, 547, 581, 5916, 269, 3400, 1231, 609, 22053, 269, 6181, 6979, 609, 5452, 610, 10808, 269, 2311, 1169, 2582, 7594, 269, 1403, 1004, 4769, 1405, 3548, 873, 538, 891, 2036, 657, 267, 789, 941, 19230, 267, 789, 1131, 5555, 1439, 909, 609, 513, 10638, 538, 835, 610, 1082, 540, 519, 11254, 7408, 563, 14188, 22556, 789, 941, 4636, 269, 1215, 7294, 1131, 602, 581, 888, 5575, 267, 1247, 1034, 2030, 2959, 540, 3940, 616, 1970, 630, 8117, 711, 4625, 27507, 264, 538, 835, 610, 811, 1898, 11254, 7408, 267, 930, 616, 711, 269, 3371, 616, 930, 540, 519, 2347, 2030, 5946, 602, 798, 2291, 912, 268, 3303, 592, 2088, 543, 824, 17580, 32420, 454, 4322, 1614, 5079, 1683, 782, 519, 1898, 11254, 7408, 538, 22510, 5666, 269, 1924, 9090, 1100, 9256, 2877, 609, 891, 1614, 563, 13553, 267, 543, 6148, 1256, 811, 11932, 267, 596, 1810, 1405, 991, 547, 9192, 9274, 609, 22053, 267, 5452, 609, 22053, 267, 610, 3548, 3662, 2959, 540, 3940, 693, 1169, 7594, 547, 2743, 707, 3232, 2115, 269, 1306, 1279, 607, 596, 3548, 513, 3099, 540, 1072, 995, 3536, 2429, 519, 1554, 267, 602, 2743, 707, 1608, 7595, 2115, 543, 3940, 2115, 267, 596, 3513, 2743, 707, 11254, 3679, 2115, 269, 898, 781, 1152, 950, 596, 4625, 2057, 1164, 3940, 5079, 689, 2789, 1426, 2516, 602, 596, 2811, 538, 8594, 540, 3384, 513, 10638, 563, 3080, 2601, 2030, 3940, 568, 3478, 811, 3007, 568, 6721, 621, 568, 2484, 1447, 3454, 532, 593, 519, 1604, 982, 6721, 16738, 267, 16872, 267, 610, 5779, 563, 27793, 5434, 723, 1044, 513, 6161, 540, 2825, 1235, 585, 3833, 930, 942, 1631, 269, 4256, 17672, 1198, 593, 519, 1604, 568, 1945, 267, 1318, 2685, 865, 267, 1082, 540, 721, 616, 3395, 811, 3222, 540, 543, 7255, 827, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4789, 4750, 540, 6925, 476, 30130, 267, 1100, 269, 476, 272, 630, 1960, 280, 2567, 476, 2568, 268, 8618, 8198, 347, 16378, 495, 274, 1475, 7775, 331, 4752, 267, 715, 7614, 807, 595, 1421, 543, 27813, 631, 269, 26268, 525, 269, 968, 303, 1157, 956, 543, 4672, 8645, 256, 5253, 26351, 538, 6379, 281, 19165, 267, 16861, 2963, 267, 543, 8846, 585, 2104, 1382, 1848, 13571, 4536, 538, 6530, 476, 276, 630, 1001, 275, 1040, 2008, 347, 16378, 495, 275, 1475, 21914, 267, 3967, 564, 595, 269, 968, 24357, 5735, 540, 6379, 543, 8770, 10307, 1848, 634, 1977, 4760, 540, 4791, 6484, 476, 10170, 267, 1100, 269, 476, 276, 630, 1220, 271, 2567, 476, 13199, 279, 338, 268, 14338, 276, 338, 8198, 347, 16378, 495, 276, 1475, 313, 749, 1676, 267, 667, 269, 589, 1421, 589, 269, 717, 1551, 27004, 6874, 18115, 334, 267, 661, 269, 30323, 332, 267, 590, 269, 2578, 523, 334, 267, 543, 590, 269, 26436, 269, 968, 15933, 6010, 532, 543, 6159, 1324, 281, 589, 3444, 14426, 1935, 1848, 2561, 564, 924, 476, 3451, 267, 1100, 269, 476, 272, 630, 1960, 280, 2567, 476, 8618, 268, 3583, 269, 347, 0, 303, 2720, 5224, 2362, 2069, 1419, 2501, 609, 2883, 9270, 267, 543, 1620, 519, 1585, 2010, 540, 2883, 5351, 2139, 568, 2629, 538, 1818, 5483, 3664, 269, 18623, 4721, 267, 14828, 267, 543, 12029, 616, 1455, 3029, 540, 6351, 6035, 547, 1053, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 3604, 1063, 25689, 267, 14828, 267, 543, 12029, 693, 8830, 16746, 2160, 543, 1683, 4030, 547, 948, 596, 6330, 519, 2883, 5351, 5251, 563, 273, 269, 4197, 18623, 4721, 454, 306, 3273, 1513, 4721, 616, 7482, 13752, 547, 1053, 547, 1489, 741, 2069, 269, 1358, 798, 711, 2154, 23231, 618, 543, 666, 3648, 2569, 519, 2883, 11411, 269, 18623, 4721, 693, 8830, 16746, 666, 581, 9286, 883, 1614, 1292, 2010, 281, 20519, 2861, 25689, 267, 991, 2861, 25689, 267, 543, 5007, 25689, 563, 273, 269, 272, 8585, 527, 15369, 18623, 4721, 454, 30560, 527, 2861, 25689, 616, 13752, 547, 1053, 1759, 593, 741, 11108, 4081, 10781, 267, 5718, 1983, 267, 15421, 267, 610, 824, 1808, 7355, 269, 1452, 25689, 5431, 543, 8007, 1053, 585, 741, 2182, 960, 543, 18517, 563, 273, 269, 273, 10261, 15369, 18623, 4721, 454, 23921, 2861, 25689, 1491, 883, 2272, 513, 2875, 779, 2883, 991, 607, 5462, 676, 741, 1920, 779, 4747, 543, 7221, 269, 1452, 25689, 616, 2966, 547, 1683, 6351, 547, 1053, 945, 949, 711, 723, 1569, 547, 824, 3029, 540, 2883, 1489, 563, 273, 269, 274, 24498, 18623, 4721, 454, 2750, 4156, 25689, 616, 6035, 676, 3906, 267, 4213, 267, 13210, 267, 610, 2146, 2516, 3544, 540, 8830, 16746, 2160, 269, 1452, 25689, 949, 723, 1808, 25046, 7355, 543, 3498, 3157, 269, 4841, 616, 9415, 547, 1382, 543, 4019, 585, 5007, 25689, 547, 7110, 741, 2883, 5351, 10189, 563, 274, 269, 10289, 6182, 1218, 454, 294, 7847, 267, 2147, 547, 25689, 267, 798, 711, 2154, 23231, 618, 269, 1358, 616, 3335, 13752, 1759, 593, 2883, 991, 543, 666, 2097, 689, 1114, 2959, 971, 607, 519, 5313, 2229, 267, 1533, 6608, 267, 610, 519, 6280, 3294, 563, 274, 269, 272, 8549, 6182, 1218, 454, 763, 5313, 2229, 3091, 14828, 547, 14718, 1053, 998, 3292, 899, 519, 623, 749, 16827, 543, 519, 8549, 26929, 531, 12409, 31621, 16827, 630, 293, 10345, 8104, 1040, 1452, 14828, 2832, 547, 4217, 1053, 609, 1713, 2883, 991, 538, 13197, 741, 2069, 563, 274, 269, 273, 3557, 6182, 1218, 454, 13750, 6608, 849, 1683, 14828, 547, 1489, 2362, 2069, 269, 1452, 14828, 949, 4268, 676, 1533, 543, 723, 1808, 25046, 4170, 269, 4841, 1058, 1382, 519, 2139, 1533, 9886, 3292, 543, 4019, 9935, 563, 274, 269, 274, 2382, 6627, 6182, 1218, 454, 303, 584, 16746, 2160, 3294, 3091, 12250, 14828, 547, 1053, 269, 1452, 14828, 616, 3335, 13752, 1759, 593, 513, 4999, 540, 2883, 991, 543, 4081, 20519, 269, 1358, 948, 8115, 519, 7934, 1063, 519, 1942, 540, 20343, 543, 519, 2179, 4988, 676, 824, 3029, 540, 5351, 563, 275, 269, 5463, 5317, 10753, 753, 454, 19284, 25689, 543, 14828, 267, 12029, 2154, 23231, 618, 936, 942, 269, 10753, 753, 666, 581, 5833, 689, 1312, 5313, 543, 4357, 2959, 267, 543, 621, 779, 1271, 547, 1174, 519, 6286, 1354, 16561, 1022, 10211, 3091, 563, 275, 269, 272, 8549, 9906, 10753, 753, 454, 293, 3985, 2875, 12029, 616, 3177, 676, 519, 772, 2529, 269, 4972, 540, 4065, 269, 1452, 12029, 3622, 2709, 811, 15028, 2474, 267, 971, 607, 2539, 1719, 3928, 543, 8465, 23231, 618, 3681, 269, 634, 1034, 1455, 5313, 2875, 12029, 1331, 6034, 4427, 338, 573, 1242, 10753, 753, 267, 6034, 24296, 889, 338, 573, 1242, 10753, 753, 267, 543, 6034, 12813, 4785, 10753, 753, 563, 275, 269, 273, 17721, 9906, 10753, 753, 454, 7468, 10675, 2875, 12029, 616, 6035, 676, 8492, 267, 5491, 18787, 267, 543, 824, 4357, 32225, 269, 634, 2474, 543, 2175, 540, 891, 12029, 666, 4268, 3648, 267, 1519, 1719, 3928, 267, 23231, 618, 4566, 267, 543, 10210, 518, 20038, 269, 898, 779, 2629, 547, 5402, 2015, 519, 2474, 1354, 7446, 513, 4357, 2875, 10211, 563, 275, 269, 274, 3115, 599, 618, 19047, 454, 6524, 2921, 856, 1022, 12029, 267, 621, 779, 1898, 547, 1174, 519, 23231, 618, 13800, 269, 6333, 2188, 971, 607, 519, 10865, 8569, 2179, 267, 519, 2698, 23231, 618, 1974, 267, 543, 519, 1764, 593, 707, 1279, 3856, 2883, 3853, 269, 12861, 513, 10853, 6578, 543, 3695, 3681, 585, 10211, 19807, 610, 23231, 618, 6351, 3292, 568, 3810, 5227, 563, 276, 269, 10435, 769, 11526, 932, 7860, 454, 2691, 10442, 2883, 5351, 3681, 267, 621, 779, 1271, 547, 2015, 513, 2039, 540, 2188, 543, 1118, 5483, 5079, 563, 276, 269, 272, 11790, 547, 6333, 454, 13706, 707, 2883, 3510, 267, 4081, 10781, 267, 543, 2123, 3853, 950, 14045, 1063, 25689, 267, 14828, 267, 543, 12029, 269, 21414, 519, 25046, 4170, 267, 519, 2179, 540, 5351, 6035, 267, 543, 1022, 1808, 2175, 610, 13800, 2404, 609, 1142, 1106, 540, 6351, 563, 276, 269, 273, 21344, 18623, 4721, 267, 6182, 1218, 267, 543, 10753, 753, 454, 288, 7059, 1935, 568, 1419, 5227, 267, 9256, 25689, 267, 14828, 267, 543, 12029, 547, 3382, 519, 1942, 540, 2069, 269, 26875, 1125, 25689, 543, 14828, 267, 607, 789, 798, 711, 2154, 23231, 618, 269, 10753, 753, 1058, 581, 1031, 21825, 543, 1152, 607, 2556, 547, 7413, 1279, 3856, 7963, 563, 277, 269, 16792, 585, 11038, 22707, 693, 8830, 16746, 454, 2414, 1569, 2883, 5351, 693, 8830, 16746, 2160, 267, 1053, 1590, 2347, 1808, 3156, 543, 2743, 21852, 269, 634, 3119, 3498, 568, 519, 5131, 13335, 585, 8549, 9906, 22707, 630, 11902, 293, 6347, 1040, 3958, 267, 8830, 16746, 949, 2154, 519, 22898, 28483, 610, 922, 1378, 12250, 3156, 585, 1978, 25689, 610, 14828, 563, 763, 14174, 293, 6347, 568, 513, 2629, 1900, 538, 8159, 707, 25046, 585, 5313, 543, 1533, 2883, 5351, 3292, 269, 898, 25173, 1344, 827, 707, 1920, 779, 2883, 3510, 543, 2337, 3313, 707, 1401, 4624, 7731, 2552, 9084, 630, 9128, 290, 1040, 7388, 1154, 519, 14174, 293, 6347, 8308, 543, 593, 942, 568, 1898, 585, 17034, 2883, 5351, 563, 277, 269, 273, 22898, 28483, 454, 303, 584, 16746, 2160, 949, 2154, 519, 22898, 28483, 585, 1978, 12250, 5351, 3292, 269, 634, 22898, 28483, 2488, 513, 811, 2143, 2079, 540, 513, 2875, 779, 2883, 991, 543, 949, 2154, 3606, 12319, 269, 6744, 519, 8830, 16746, 2883, 5351, 3896, 585, 1808, 4170, 543, 21852, 563, 277, 269, 274, 8830, 16746, 10391, 10241, 454, 1103, 1840, 547, 519, 14174, 293, 6347, 543, 22898, 28483, 267, 8830, 16746, 2160, 949, 723, 922, 1378, 3156, 585, 1808, 25689, 610, 14828, 269, 2142, 2386, 547, 2689, 519, 8830, 16746, 2883, 5351, 3896, 585, 1022, 3606, 3156, 543, 1246, 519, 5528, 3177, 563, 8139, 519, 3604, 1063, 25689, 267, 14828, 267, 543, 12029, 693, 8830, 16746, 2160, 568, 1898, 585, 1818, 5483, 3664, 827, 707, 2883, 5351, 10189, 269, 18623, 4721, 543, 14828, 2709, 2883, 1489, 602, 1281, 711, 2154, 23231, 618, 267, 1247, 12029, 666, 948, 8115, 519, 7934, 855, 2097, 609, 1279, 3856, 13800, 269, 1635, 5402, 6236, 707, 3681, 267, 11264, 519, 2556, 3156, 8308, 543, 593, 942, 267, 543, 13326, 707, 2883, 5351, 2959, 267, 596, 666, 17362, 519, 1259, 585, 513, 3811, 2852, 1995, 563, 11902, 17988, 630, 21761, 18542, 5999, 994, 268, 1548, 568, 519, 3017, 1063, 513, 14172, 543, 513, 9886, 888, 268, 1684, 25689, 543, 14828, 991, 547, 581, 1065, 4660, 888, 268, 1215, 798, 594, 917, 952, 594, 993, 14718, 585, 25689, 610, 14828, 693, 8830, 16746, 888, 268, 3657, 5313, 2875, 12029, 1732, 982, 4357, 2875, 12029, 888, 268, 2052, 594, 4309, 1312, 25689, 543, 14828, 693, 8830, 16746, 286, 0, 1607, 970, 839, 1043, 2470, 540, 26824, 814, 267, 936, 942, 267, 4847, 585, 811, 1852, 543, 10342, 540, 519, 5680, 269, 595, 5995, 543, 17452, 2409, 941, 3252, 17411, 2038, 538, 26824, 1686, 269, 634, 2702, 547, 6001, 519, 5169, 23061, 267, 676, 4334, 267, 729, 1152, 3773, 538, 519, 476, 1001, 271, 338, 563, 2080, 568, 513, 1592, 540, 1455, 2934, 4175, 762, 609, 26824, 912, 290, 2286, 1215, 6054, 616, 524, 3737, 666, 581, 6417, 676, 26824, 269, 634, 7746, 666, 4051, 9938, 625, 543, 7218, 827, 1018, 547, 21461, 543, 585, 875, 1279, 269, 634, 7817, 666, 4051, 13591, 21461, 9938, 625, 547, 11716, 519, 6740, 3561, 563, 9824, 1314, 532, 519, 5169, 23061, 1677, 2061, 2879, 334, 14563, 543, 824, 7834, 32042, 267, 5680, 26292, 17997, 7453, 9668, 1063, 5680, 4609, 269, 8307, 3817, 689, 519, 1482, 5169, 666, 1569, 782, 519, 1344, 540, 513, 5680, 2985, 269, 9282, 971, 513, 23061, 568, 513, 11411, 547, 519, 7746, 267, 26824, 2212, 619, 666, 6001, 713, 7453, 9668, 593, 519, 7746, 2427, 267, 3850, 513, 3561, 547, 1831, 513, 15429, 1740, 540, 1344, 21433, 689, 1114, 11890, 282, 972, 1223, 1256, 581, 3354, 5829, 4128, 547, 798, 865, 563, 8505, 5782, 1709, 2368, 3817, 949, 581, 6870, 865, 602, 1152, 1808, 3755, 666, 1569, 873, 269, 9978, 17452, 949, 581, 3177, 676, 26824, 267, 2901, 1210, 519, 13431, 310, 5025, 583, 5782, 6510, 543, 2147, 2212, 619, 267, 610, 676, 4259, 513, 1808, 8400, 1210, 26824, 12897, 563, 3682, 15383, 543, 15993, 532, 5395, 951, 610, 7218, 616, 1419, 4092, 593, 703, 3757, 1115, 543, 12404, 741, 3020, 7379, 2232, 689, 824, 5904, 269, 26824, 13668, 1287, 979, 998, 9938, 625, 547, 3444, 713, 3060, 11064, 269, 3502, 782, 9938, 625, 616, 26824, 9938, 625, 269, 634, 590, 8016, 16775, 7014, 267, 585, 1383, 267, 13333, 693, 513, 2539, 1377, 269, 4033, 10873, 267, 899, 10264, 335, 267, 666, 581, 17411, 676, 891, 9938, 625, 563, 306, 32268, 4635, 26824, 12897, 2636, 596, 547, 3095, 13668, 609, 519, 1533, 540, 519, 7746, 269, 901, 5932, 7886, 267, 5103, 2596, 26824, 1373, 513, 1533, 268, 1652, 7014, 269, 901, 568, 3730, 711, 1152, 585, 552, 19645, 10918, 30504, 267, 855, 849, 585, 1022, 3135, 3850, 3593, 12122, 540, 519, 3977, 269, 0, 29619, 540, 2480, 549, 2145, 7136, 525, 454, 9928, 549, 2145, 13999, 3277, 547, 9402, 1332, 2195, 610, 561, 7927, 602, 1020, 1369, 519, 1085, 8527, 636, 267, 519, 533, 13224, 540, 2960, 602, 3568, 519, 1449, 2873, 269, 1452, 13999, 666, 4268, 538, 2450, 267, 9403, 267, 543, 4087, 267, 543, 949, 581, 3361, 676, 513, 2039, 540, 5817, 2175, 269, 5871, 3123, 540, 1085, 549, 2145, 13999, 1331, 5714, 23752, 30219, 267, 23762, 15532, 630, 12534, 4815, 29585, 1070, 1200, 333, 5362, 267, 543, 267, 1447, 4122, 267, 12970, 269, 4595, 1085, 549, 2145, 13999, 666, 22132, 689, 1114, 2959, 267, 741, 8446, 543, 5868, 616, 1898, 585, 3617, 2564, 2359, 563, 19547, 624, 532, 1085, 549, 2145, 13999, 1419, 3322, 513, 2168, 6514, 676, 513, 2564, 3318, 267, 2059, 609, 3606, 10368, 2645, 971, 607, 16953, 9196, 269, 14904, 949, 5469, 891, 13999, 1247, 7900, 1582, 7721, 3133, 725, 610, 1813, 547, 9636, 610, 1928, 538, 519, 1085, 549, 2145, 1858, 269, 32653, 6268, 543, 5868, 616, 2629, 547, 3313, 519, 5817, 2014, 540, 519, 2527, 543, 3391, 7766, 2126, 3664, 267, 952, 2556, 563, 15650, 540, 2480, 549, 2145, 7136, 525, 454, 2005, 666, 7854, 513, 3099, 540, 2175, 267, 1142, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3339, 3892, 676, 2901, 8939, 519, 1297, 543, 7411, 540, 2055, 630, 553, 538, 519, 21842, 1449, 264, 610, 13321, 519, 6151, 1449, 8464, 883, 834, 16059, 257, 8464, 676, 17501, 873, 547, 519, 3339, 3892, 269, 1280, 1383, 267, 519, 20389, 781, 2757, 2039, 540, 476, 1220, 1700, 8517, 568, 1759, 593, 513, 3339, 3892, 609, 513, 1611, 540, 476, 4335, 543, 513, 3044, 11539, 540, 476, 1911, 563, 1892, 3509, 8464, 616, 6508, 689, 519, 3339, 3892, 267, 1519, 30878, 16034, 9497, 704, 1417, 3796, 257, 610, 834, 31642, 3796, 19823, 3339, 7455, 5973, 757, 267, 588, 534, 1149, 267, 1990, 1606, 13990, 267, 543, 570, 1606, 13990, 269, 3958, 267, 930, 8965, 8579, 5773, 8263, 602, 8464, 616, 7363, 7856, 282, 585, 1383, 267, 512, 2389, 3949, 543, 4888, 10976, 2026, 269, 13852, 7455, 21249, 3651, 338, 3448, 9344, 1759, 593, 513, 3339, 3892, 540, 8464, 563, 1892, 769, 3289, 14347, 519, 3892, 540, 1279, 8653, 5757, 11166, 610, 11811, 267, 552, 3052, 269, 10865, 543, 21496, 9103, 1023, 267, 568, 1419, 2219, 547, 581, 18374, 3339, 2687, 547, 519, 3844, 3970, 11532, 16804, 5392, 316, 634, 4544, 4605, 14550, 606, 1383, 540, 17501, 519, 3339, 3892, 547, 19486, 5239, 11811, 338, 6029, 519, 476, 3445, 260, 6015, 12966, 1759, 593, 519, 23481, 3892, 269, 634, 11811, 1239, 616, 6719, 676, 28321, 7158, 607, 851, 540, 519, 19469, 4908, 2079, 780, 2162, 21277, 1027, 2343, 1275, 692, 1103, 9695, 2079, 267, 3668, 540, 2343, 1275, 538, 15895, 338, 3274, 6920, 602, 519, 2203, 2022, 4327, 568, 16283, 538, 8051, 585, 519, 12402, 538, 519, 1239, 543, 2115, 547, 581, 21284, 282, 538, 824, 1913, 267, 2343, 1275, 538, 15895, 338, 666, 2141, 581, 6913, 2016, 513, 5265, 9112, 2203, 780, 1012, 9198, 908, 2418, 689, 3339, 3892, 692, 763, 21167, 3684, 267, 513, 3926, 11827, 676, 14731, 8895, 2023, 267, 666, 581, 1572, 519, 1101, 11718, 540, 3339, 4351, 4632, 269, 901, 3684, 5161, 540, 513, 7299, 4604, 609, 19900, 9343, 540, 20382, 269, 9540, 11084, 616, 12628, 689, 519, 1283, 543, 1287, 25483, 14477, 2451, 610, 1318, 607, 789, 5734, 519, 20382, 269, 634, 11084, 616, 6394, 883, 25510, 693, 519, 5377, 543, 7017, 1524, 883, 513, 4806, 23401, 519, 21714, 7455, 780, 1103, 2780, 13502, 267, 2523, 538, 3156, 540, 519, 22757, 4211, 541, 5979, 1505, 267, 621, 568, 1419, 14909, 547, 5352, 2418, 602, 616, 7363, 7856, 269, 634, 6620, 7396, 2630, 782, 5352, 519, 3044, 3339, 1821, 28179, 267, 2094, 513, 715, 263, 19031, 267, 21566, 273, 454, 994, 4754, 581, 6383, 607, 2473, 815, 13179, 1341, 21566, 313, 267, 1141, 2098, 568, 3044, 3339, 269, 2353, 891, 6620, 7048, 593, 519, 8244, 540, 513, 4351, 1297, 11718, 772, 5827, 540, 6721, 7833, 4351, 1083, 919, 780, 1892, 634, 1034, 3551, 1505, 568, 1759, 593, 519, 5506, 7533, 2981, 3959, 281, 952, 772, 568, 7856, 25144, 593, 630, 271, 267, 272, 1070, 1287, 3852, 355, 6629, 272, 263, 308, 264, 786, 723, 519, 3044, 3339, 3892, 269, 634, 2721, 3724, 540, 713, 1505, 568, 602, 621, 12346, 593, 9819, 540, 519, 2625, 527, 1599, 3852, 355, 6629, 272, 267, 799, 3112, 581, 2944, 2555, 21154, 269, 2368, 16977, 2409, 616, 4330, 538, 19134, 630, 3422, 279, 264, 543, 538, 519, 2144, 325, 2376, 269, 654, 747, 3120, 3947, 513, 3728, 5690, 585, 7384, 713, 1599, 547, 476, 1626, 8918, 4025, 267, 314, 2004, 316, 799, 568, 1031, 676, 681, 547, 12337, 4351, 1083, 919, 540, 519, 3339, 3892, 563, 1892, 1323, 2653, 547, 1982, 16977, 1935, 267, 602, 12346, 593, 519, 3844, 3970, 11532, 267, 568, 607, 5205, 281, 5352, 476, 1321, 7833, 772, 263, 271, 267, 272, 264, 1821, 28179, 267, 1039, 873, 782, 909, 267, 543, 10208, 476, 277, 1107, 519, 4611, 4351, 4756, 786, 723, 5111, 3044, 3339, 3892, 269, 769, 5168, 267, 519, 3892, 786, 581, 7054, 7773, 1700, 295, 718, 267, 799, 568, 513, 476, 1321, 16687, 1605, 22770, 19195, 9971, 19406, 547, 519, 3339, 3892, 269, 901, 4351, 1821, 5573, 786, 723, 513, 3908, 2039, 540, 630, 6629, 277, 267, 1109, 277, 1040, 314, 7906, 2639, 1892, 634, 13340, 1700, 300, 1638, 518, 1505, 3096, 1079, 4830, 4351, 2338, 772, 543, 966, 7856, 25144, 593, 630, 271, 267, 272, 1040, 3973, 519, 1079, 4351, 4632, 2473, 543, 962, 454, 259, 311, 815, 1422, 6912, 24877, 476, 273, 1422, 15238, 772, 348, 22773, 1422, 6523, 263, 273, 1422, 7032, 966, 264, 2073, 1422, 29911, 962, 815, 1422, 6912, 24877, 476, 273, 1422, 15238, 772, 348, 22773, 1422, 7562, 263, 273, 1422, 7032, 966, 264, 1547, 14204, 15884, 1312, 723, 519, 3044, 3339, 3892, 267, 543, 786, 581, 4830, 269, 901, 19862, 14340, 1317, 585, 513, 536, 21725, 3339, 4351, 6152, 630, 311, 267, 962, 264, 519, 16302, 2343, 2473, 273, 1341, 962, 273, 786, 723, 519, 16584, 1606, 32464, 3892, 609, 1079, 5232, 540, 5191, 267, 799, 568, 606, 3362, 6383, 12825, 4351, 4756, 7222, 547, 519, 7274, 6567, 273, 15238, 263, 308, 264, 538, 891, 4834, 282, 543, 519, 5086, 568, 7856, 25144, 1472, 519, 5858, 267, 6074, 676, 519, 4351, 4756, 966, 563, 1892, 9370, 698, 20377, 8701, 1505, 568, 513, 14842, 540, 519, 13340, 1700, 300, 1638, 518, 1505, 5690, 267, 799, 1281, 711, 2154, 19106, 540, 3252, 5609, 3890, 543, 5430, 14061, 769, 713, 1505, 772, 543, 966, 616, 6537, 689, 519, 7833, 630, 6629, 272, 267, 272, 264, 3892, 267, 543, 1287, 590, 815, 772, 273, 1341, 966, 273, 568, 17223, 269, 1403, 590, 568, 3152, 610, 3160, 547, 835, 1287, 519, 1505, 6238, 936, 267, 6382, 1079, 9424, 454, 259, 311, 815, 772, 25490, 3189, 2765, 24877, 273, 315, 15238, 590, 2410, 306, 3686, 267, 1422, 29911, 962, 815, 966, 25490, 3189, 2765, 24877, 273, 315, 15238, 590, 2410, 306, 3686, 14204, 732, 8120, 269, 11088, 267, 2473, 543, 962, 786, 581, 4830, 543, 3044, 7363, 7856, 563, 1892, 634, 22472, 1505, 314, 7367, 316, 568, 513, 18349, 1505, 269, 634, 5690, 23131, 607, 5205, 912, 1892, 2637, 4733, 1079, 4830, 7833, 1821, 28179, 772, 543, 966, 3248, 1892, 30770, 2473, 815, 476, 279, 27160, 630, 309, 6567, 476, 271, 269, 276, 8358, 308, 3248, 1892, 8838, 1308, 281, 952, 2473, 273, 18016, 476, 276, 6567, 476, 275, 324, 272, 270, 275, 308, 1287, 3398, 2473, 543, 2165, 3729, 5690, 3248, 1892, 8838, 1308, 281, 952, 2473, 273, 21759, 476, 275, 324, 6629, 272, 269, 3374, 270, 308, 1341, 476, 272, 269, 275, 1287, 7947, 2473, 543, 1376, 936, 689, 1900, 476, 272, 3248, 1892, 1403, 2473, 273, 18016, 6567, 275, 23692, 308, 1287, 3398, 2473, 267, 6382, 1376, 936, 519, 5690, 563, 763, 1079, 18593, 3268, 1450, 519, 6268, 540, 519, 30233, 538, 519, 2063, 1900, 547, 581, 14284, 538, 1034, 2665, 269, 1452, 3268, 666, 581, 7494, 4824, 314, 7871, 316, 865, 602, 519, 30233, 568, 10355, 11117, 563, 1892, 634, 1990, 24513, 584, 520, 5690, 314, 7918, 316, 568, 5488, 982, 519, 13340, 1700, 300, 1638, 518, 2981, 543, 1869, 3169, 269, 769, 827, 476, 9032, 260, 540, 782, 2665, 621, 3096, 1152, 1079, 4351, 2338, 267, 835, 4351, 8870, 543, 835, 4351, 7833, 267, 835, 8691, 543, 606, 952, 23150, 269, 8307, 538, 476, 274, 260, 540, 519, 2665, 267, 1141, 519, 4999, 540, 1346, 1079, 8813, 3544, 519, 834, 14537, 540, 519, 1990, 24513, 584, 520, 257, 630, 320, 2186, 540, 18349, 10386, 1210, 17969, 916, 1070, 798, 12825, 338, 543, 811, 7833, 4351, 2338, 723, 547, 581, 6964, 563, 1892, 6715, 518, 12980, 666, 581, 1031, 547, 3732, 689, 519, 3044, 3339, 3892, 16804, 4649, 316, 901, 1505, 568, 3169, 538, 519, 2631, 602, 621, 25389, 519, 2175, 540, 4998, 19406, 282, 314, 6321, 316, 1775, 4318, 1421, 621, 568, 6697, 547, 10386, 513, 1483, 1297, 689, 519, 3044, 3339, 3892, 543, 24263, 713, 547, 519, 14282, 2099, 762, 13735, 1448, 1297, 563, 1892, 1703, 568, 849, 930, 7634, 314, 6872, 316, 883, 519, 4276, 1063, 519, 3728, 16874, 600, 731, 2981, 543, 519, 3339, 3892, 267, 2094, 519, 2981, 18271, 1175, 1840, 543, 12408, 543, 676, 519, 3844, 3970, 11532, 4351, 2338, 689, 3592, 1022, 3892, 786, 581, 9927, 883, 519, 3339, 3892, 269, 769, 713, 2543, 513, 3126, 540, 16874, 600, 731, 21810, 666, 581, 5916, 609, 4351, 32545, 547, 2490, 17062, 1239, 5036, 883, 513, 7363, 7856, 1239, 780, 1012, 31592, 4114, 574, 725, 585, 519, 3339, 595, 5263, 692, 763, 3044, 3339, 595, 5263, 568, 4922, 1031, 538, 3621, 543, 8579, 7384, 780, 763, 2418, 3852, 355, 3287, 264, 949, 581, 4114, 13846, 1360, 8308, 676, 513, 3099, 540, 2409, 267, 971, 607, 10230, 5610, 267, 13177, 3126, 267, 29297, 5328, 3126, 543, 4797, 8454, 269, 7756, 4114, 574, 725, 616, 1031, 4470, 593, 519, 5551, 1377, 540, 6111, 780, 1892, 589, 1360, 2241, 543, 4052, 19406, 568, 2016, 676, 13852, 1496, 6812, 316, 609, 513, 5021, 6207, 5470, 540, 476, 271, 269, 19740, 912, 7445, 4942, 328, 3287, 264, 1422, 13627, 1422, 2765, 346, 272, 348, 2715, 273, 348, 1422, 3847, 1422, 346, 272, 266, 1422, 28072, 4067, 346, 338, 793, 348, 630, 343, 9385, 3847, 1496, 476, 272, 3887, 13064, 273, 343, 317, 273, 270, 315, 7032, 348, 1422, 2431, 9948, 3867, 272, 270, 273, 7684, 1422, 2431, 315, 10592, 763, 11201, 568, 849, 3362, 5833, 269, 634, 11201, 3339, 4542, 568, 13718, 7445, 4942, 328, 13064, 272, 12917, 343, 264, 1422, 13627, 1422, 8218, 26231, 1162, 348, 476, 272, 910, 11196, 272, 269, 31816, 8064, 277, 30444, 8064, 1422, 15238, 263, 272, 24179, 273, 343, 268, 272, 22722, 273, 348, 4297, 3867, 272, 270, 273, 348, 2073, 1299, 1535, 1422, 28254, 476, 271, 269, 276, 267, 8607, 11196, 272, 269, 31816, 8064, 277, 30444, 8064, 1422, 15238, 263, 272, 24179, 273, 343, 8203, 273, 4297, 3867, 272, 270, 273, 9574, 1299, 1422, 3667, 346, 1278, 3772, 20467, 1422, 754, 26231, 1162, 10592, 28274, 519, 1739, 15494, 547, 519, 3892, 781, 21217, 13718, 952, 2612, 263, 269, 276, 4211, 5263, 264, 20101, 25834, 1287, 798, 3248, 604, 595, 5263, 20101, 276, 1287, 1535, 284, 476, 272, 269, 19740, 273, 16732, 1535, 8203, 272, 269, 271, 3607, 273, 3248, 12828, 19930, 1535, 15871, 272, 269, 19740, 273, 265, 8987, 343, 8203, 272, 269, 271, 3607, 273, 3248, 754, 16963, 7666, 5875, 4315, 606, 6207, 3448, 5470, 2999, 476, 272, 269, 5655, 260, 538, 1535, 267, 585, 595, 5263, 538, 1496, 269, 1822, 4905, 11783, 15886, 4200, 4940, 2353, 540, 713, 568, 3362, 9672, 585, 513, 2039, 540, 1535, 540, 5176, 476, 280, 29178, 563, 1892, 2098, 601, 523, 1299, 590, 1197, 334, 630, 3422, 275, 264, 2285, 519, 19406, 585, 3852, 355, 3287, 264, 585, 1535, 3436, 476, 271, 609, 519, 6207, 5470, 1923, 587, 488, 15770, 3287, 264, 587, 488, 347, 1109, 283, 1109, 278, 269, 276, 6440, 1015, 6629, 279, 630, 14607, 3596, 332, 476, 2918, 269, 273, 269, 1704, 2187, 7445, 4942, 328, 3287, 264, 815, 476, 272, 910, 1422, 12534, 12978, 3287, 9385, 3847, 6357, 318, 272, 339, 1341, 536, 318, 273, 339, 317, 273, 1341, 536, 318, 274, 339, 317, 274, 1341, 536, 318, 275, 339, 317, 275, 1341, 536, 318, 276, 339, 317, 276, 9368, 264, 1341, 1422, 29166, 27432, 3287, 1070, 1422, 29911, 512, 815, 1422, 2765, 346, 272, 2410, 272, 17070, 318, 271, 343, 9574, 14204, 3602, 6543, 499, 3287, 264, 568, 519, 3044, 3339, 7300, 267, 543, 536, 271, 815, 476, 271, 269, 23211, 5038, 272, 280, 267, 536, 272, 815, 476, 271, 269, 29204, 4343, 272, 30019, 267, 536, 273, 815, 6567, 271, 269, 32579, 6321, 274, 4281, 273, 267, 536, 274, 815, 476, 272, 269, 4281, 272, 5325, 278, 280, 4391, 267, 536, 275, 815, 6567, 272, 269, 279, 2641, 14838, 7818, 267, 536, 276, 815, 476, 272, 269, 20065, 28638, 275, 3066, 563, 1892, 19134, 630, 3422, 279, 264, 8638, 930, 19421, 540, 4114, 574, 725, 910, 676, 1797, 540, 7787, 3252, 267, 609, 610, 1510, 12825, 338, 910, 585, 519, 2144, 325, 322, 3890, 1599, 269, 3571, 6620, 4268, 538, 519, 4110, 540, 6988, 543, 519, 4611, 8856, 267, 609, 5021, 6207, 8856, 540, 476, 2190, 9704, 269, 1323, 5690, 676, 4639, 630, 1220, 280, 264, 10905, 19134, 781, 5690, 476, 276, 5780, 277, 609, 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 ]
[ 4016, 547, 519, 3328, 563, 763, 2766, 540, 7314, 568, 14354, 547, 519, 1560, 269, 898, 568, 2356, 17031, 543, 7522, 539, 693, 519, 1439, 269, 26741, 538, 519, 13677, 674, 1245, 19949, 540, 9540, 20099, 543, 547, 519, 5905, 20998, 513, 2571, 543, 5347, 10359, 269, 22458, 16119, 11105, 547, 1142, 824, 563, 763, 2212, 538, 2831, 814, 513, 5180, 3337, 269, 19949, 723, 7168, 3532, 28287, 543, 2178, 24060, 269, 2201, 519, 3068, 540, 519, 3662, 972, 568, 1100, 14407, 4183, 267, 855, 782, 3515, 5347, 543, 17031, 269, 13677, 674, 9529, 723, 2462, 4064, 602, 849, 723, 513, 5180, 3337, 543, 616, 4922, 12630, 269, 715, 846, 7314, 1507, 543, 2647, 563, 2026, 585, 7801, 267, 1022, 3681, 585, 29984, 616, 4847, 269, 4414, 2681, 666, 849, 581, 1572, 2699, 610, 4154, 269, 634, 2681, 540, 519, 32640, 538, 2699, 7314, 593, 519, 3159, 568, 5078, 585, 15144, 543, 666, 581, 6505, 10538, 267, 993, 828, 610, 7601, 269, 19949, 540, 713, 2681, 964, 5703, 2648, 782, 936, 519, 1158, 563, 28082, 640, 568, 5097, 1813, 547, 8966, 543, 20498, 5920, 269, 898, 568, 4502, 15663, 602, 13677, 674, 9529, 540, 713, 2681, 616, 3833, 4686, 267, 1317, 540, 799, 789, 616, 15874, 1256, 811, 563, 2005, 568, 849, 5156, 602, 2699, 2861, 13222, 540, 713, 9742, 723, 519, 5207, 1377, 540, 4987, 982, 7314, 540, 824, 4778, 563, 23322, 543, 2623, 454, 9928, 2714, 880, 674, 9529, 616, 13747, 676, 3929, 3666, 543, 1649, 5271, 565, 775, 269, 918, 8636, 839, 616, 3833, 3533, 13615, 547, 812, 543, 1753, 269, 1358, 616, 1360, 22488, 543, 1205, 1434, 609, 1453, 269, 12292, 616, 6126, 547, 1694, 593, 741, 3946, 267, 2648, 15754, 543, 3007, 563, 3849, 6699, 616, 811, 9053, 547, 581, 4805, 982, 1291, 606, 3742, 6197, 269, 19949, 616, 2653, 547, 4001, 547, 519, 804, 1177, 14516, 267, 543, 4061, 596, 666, 711, 5855, 827, 519, 3106, 540, 11647, 538, 519, 2777, 269, 24929, 540, 519, 13677, 674, 1245, 6601, 539, 723, 8984, 2934, 538, 2623, 563, 24357, 328, 10999, 971, 7314, 616, 3833, 2653, 547, 1796, 593, 519, 12042, 17873, 269, 15394, 789, 1491, 971, 513, 10460, 950, 3843, 547, 1294, 1945, 4277, 538, 4395, 269, 3509, 13222, 540, 519, 9742, 2648, 547, 3207, 593, 519, 1394, 267, 22348, 971, 513, 10460, 540, 513, 812, 779, 3207, 563, 4913, 267, 621, 1058, 581, 15422, 602, 7488, 540, 519, 9742, 10362, 267, 1169, 3032, 568, 1367, 269, 4475, 267, 513, 4620, 949, 711, 6474, 519, 2470, 543, 2623, 540, 519, 2489, 4162, 540, 519, 13677, 674, 1245, 19949, 563, 763, 1004, 2291, 930, 3494, 602, 519, 2681, 540, 2770, 27918, 10130, 666, 2161, 1945, 827, 741, 1915, 269, 4414, 7314, 616, 2808, 12050, 543, 524, 7342, 269, 6270, 2831, 2154, 538, 6935, 547, 2933, 2799, 3007, 543, 2463, 563, 32098, 543, 1416, 454, 9928, 2714, 880, 674, 1245, 19949, 2648, 4313, 543, 5660, 519, 1753, 29939, 902, 269, 1358, 616, 711, 5497, 585, 1272, 3544, 519, 2777, 543, 786, 711, 581, 2111, 547, 2291, 1279, 593, 519, 8265, 269, 6270, 7314, 616, 7168, 7874, 543, 666, 1118, 2828, 609, 824, 2831, 2713, 538, 519, 2777, 563, 5804, 2370, 2085, 6539, 29181, 4001, 547, 519, 26745, 267, 28215, 543, 20347, 269, 898, 568, 849, 2556, 547, 6318, 513, 4620, 865, 602, 621, 1281, 711, 27253, 519, 3959, 543, 6956, 519, 14724, 4487, 6887, 269, 1306, 585, 519, 1416, 540, 2831, 267, 646, 786, 711, 2014, 7965, 563, 29995, 267, 519, 7314, 2933, 1246, 519, 2783, 540, 741, 15144, 267, 2973, 741, 4064, 543, 10772, 267, 543, 849, 796, 32502, 519, 1033, 3737, 851, 540, 519, 18969, 269, 1717, 267, 713, 1281, 711, 1611, 602, 519, 2831, 798, 711, 991, 547, 1246, 269, 769, 519, 2013, 540, 12526, 540, 519, 1274, 16115, 267, 789, 1590, 581, 5402, 19345, 609, 10412, 16853, 563, 8601, 519, 1249, 602, 519, 15144, 689, 519, 968, 9928, 582, 1562, 892, 568, 2864, 2110, 267, 621, 568, 5227, 547, 21237, 17589, 269, 1677, 798, 713, 267, 621, 568, 1732, 547, 946, 2571, 26814, 610, 513, 2027, 1350, 913, 269, 11270, 545, 17429, 794, 786, 1450, 596, 547, 4894, 519, 21045, 12628, 24827, 865, 602, 519, 3032, 1281, 711, 561, 1157, 873, 563, 22492, 3007, 1058, 581, 6976, 547, 519, 4522, 540, 519, 4620, 269, 3509, 1753, 7314, 693, 519, 2085, 540, 1614, 1296, 723, 2042, 609, 5711, 13570, 269, 4107, 1419, 713, 568, 1813, 547, 519, 4636, 8023, 540, 519, 3662, 269, 2060, 1507, 9424, 610, 2347, 9000, 540, 2182, 1426, 585, 679, 600, 1564, 4646, 7202, 999, 563, 2414, 2061, 2042, 609, 707, 4522, 267, 596, 991, 547, 7157, 4584, 909, 519, 2732, 585, 519, 3662, 269, 1403, 2556, 267, 621, 568, 2556, 547, 1625, 1518, 519, 5023, 540, 519, 4620, 269, 1411, 666, 798, 713, 609, 513, 2027, 11453, 543, 13594, 563, 15933, 540, 519, 2699, 968, 9928, 1824, 892, 1590, 581, 7059, 865, 602, 519, 3662, 3232, 4607, 519, 3232, 2557, 540, 519, 3334, 2556, 585, 519, 1560, 269, 4107, 540, 519, 2732, 267, 835, 1259, 610, 1776, 267, 1118, 909, 5946, 269, 1411, 666, 1711, 707, 1378, 10624, 538, 799, 1312, 8737, 3049, 543, 2067, 2472, 786, 581, 3769, 563, 9827, 4847, 1152, 547, 581, 5423, 27574, 543, 3819, 1426, 269, 769, 519, 2298, 15885, 540, 519, 2706, 14167, 543, 519, 11455, 267, 782, 519, 2556, 3688, 538, 519, 1318, 2179, 786, 581, 269, 30839, 4908, 5673, 593, 3662, 2085, 269, 918, 8636, 839, 2356, 2285, 1426, 538, 1507, 9424, 543, 1419, 281, 689, 2185, 547, 2947, 2053, 513, 1554, 563, 7021, 942, 267, 8023, 4908, 568, 4389, 547, 1614, 2053, 513, 1554, 267, 543, 1310, 8757, 519, 2085, 540, 476, 279, 3275, 1107, 909, 547, 1079, 269, 634, 2179, 540, 1426, 5673, 593, 519, 6197, 540, 519, 3662, 267, 12077, 922, 2534, 269, 2311, 519, 1482, 942, 267, 1569, 547, 2973, 543, 4195, 1216, 538, 519, 4620, 1058, 581, 5781, 563, 2026, 585, 2067, 2472, 267, 621, 568, 5227, 547, 1331, 19020, 1654, 531, 267, 840, 1922, 549, 7999, 269, 1411, 666, 2285, 23017, 9269, 5779, 543, 1055, 531, 269, 31385, 3165, 666, 1152, 581, 538, 1507, 9424, 269, 19227, 267, 2042, 609, 519, 17256, 1062, 949, 2049, 563, 12024, 782, 6469, 7314, 267, 2699, 1085, 2714, 880, 1922, 843, 1841, 991, 12905, 12674, 267, 607, 1134, 607, 538, 7829, 689, 24217, 267, 7904, 553, 543, 927, 2381, 2195, 269, 24929, 540, 713, 9742, 849, 723, 32739, 547, 930, 3676, 912, 268, 15302, 540, 519, 30273, 1062, 1107, 1034, 1419, 8451, 609, 10549, 32504, 268, 31292, 10819, 32504, 268, 15302, 540, 7929, 8778, 563, 22492, 3007, 1058, 581, 6976, 547, 519, 4064, 540, 2831, 269, 9603, 547, 519, 1804, 2450, 267, 513, 2603, 540, 7452, 610, 24827, 666, 2887, 593, 873, 267, 799, 267, 538, 2490, 267, 786, 28596, 6553, 269, 769, 4620, 8637, 596, 666, 6718, 2027, 3750, 12772, 543, 267, 952, 2556, 267, 946, 873, 563, 6624, 13222, 540, 519, 9742, 616, 711, 5739, 538, 1426, 267, 799, 666, 1291, 547, 8377, 269, 3683, 7076, 5012, 547, 1072, 2042, 269, 4475, 267, 621, 568, 1360, 1271, 547, 1246, 519, 1318, 6484, 540, 13677, 674, 9529, 269, 898, 568, 849, 5227, 547, 5781, 3643, 519, 18915, 10629, 585, 14791, 543, 6514, 540, 519, 6469, 4620, 563, 2026, 585, 519, 1272, 19104, 540, 13677, 674, 9529, 267, 1896, 2188, 786, 1860, 713, 13525, 269, 3689, 540, 782, 267, 713, 4527, 610, 9000, 540, 17916, 3676, 563, 24357, 1227, 18604, 6539, 1084, 786, 991, 2027, 1416, 543, 267, 1034, 2693, 267, 786, 711, 2661, 585, 811, 982, 476, 1428, 1296, 563, 2026, 585, 2635, 543, 2178, 2043, 267, 585, 519, 1034, 851, 10715, 1272, 786, 4096, 593, 519, 2953, 1145, 540, 6484, 543, 1416, 269, 2060, 1697, 1543, 267, 7314, 666, 9350, 569, 2661, 909, 547, 476, 736, 1296, 543, 1256, 811, 563, 10666, 519, 2934, 543, 1416, 540, 13677, 7314, 6423, 811, 269, 0, 8310, 21213, 593, 2904, 476, 278, 267, 476, 1001, 276, 267, 676, 552, 24687, 32000, 269, 6478, 4032, 281, 476, 25396, 454, 763, 8789, 6249, 540, 968, 30949, 9453, 513, 8745, 892, 568, 1582, 12413, 6873, 269, 901, 15819, 540, 3961, 267, 799, 814, 1044, 14063, 538, 782, 540, 631, 3930, 345, 779, 960, 2094, 1010, 882, 6327, 547, 519, 4639, 267, 568, 9244, 5532, 547, 519, 27808, 1660, 902, 540, 513, 812, 538, 519, 1000, 559, 697, 540, 1010, 1296, 269, 1717, 267, 968, 30949, 9453, 513, 8745, 892, 568, 711, 606, 19838, 12510, 878, 6648, 269, 769, 1249, 267, 952, 519, 10564, 666, 14751, 4376, 267, 621, 568, 602, 23141, 568, 267, 19433, 1227, 267, 18497, 269, 2290, 1590, 581, 3989, 676, 519, 2250, 543, 267, 1657, 782, 267, 676, 519, 1004, 945, 2671, 602, 2250, 269, 769, 1010, 1433, 7101, 345, 514, 3534, 16402, 11985, 630, 4198, 279, 282, 7111, 7464, 332, 281, 589, 9612, 585, 8682, 5937, 1030, 6873, 267, 476, 3422, 279, 1070, 631, 3930, 345, 14753, 540, 513, 968, 16447, 3989, 676, 3965, 892, 538, 799, 968, 26421, 1995, 8371, 883, 513, 3126, 540, 12205, 267, 7569, 547, 581, 2016, 7165, 1890, 267, 547, 581, 5532, 909, 609, 519, 2898, 3034, 32701, 267, 519, 16075, 540, 971, 513, 5133, 1281, 711, 8850, 3142, 10343, 269, 2311, 2053, 519, 10564, 16416, 2685, 882, 1161, 519, 2250, 610, 1989, 644, 3101, 569, 6544, 1161, 922, 2956, 267, 855, 267, 538, 824, 267, 3109, 518, 8090, 267, 646, 986, 2812, 1996, 519, 1249, 602, 646, 949, 1152, 581, 519, 5420, 998, 799, 824, 2833, 616, 22012, 269, 1261, 568, 12922, 602, 519, 2250, 949, 8267, 332, 519, 1459, 267, 543, 267, 950, 2250, 2592, 2253, 547, 20441, 267, 950, 646, 19380, 519, 1459, 543, 1152, 12374, 519, 2250, 267, 646, 16716, 856, 609, 10845, 543, 26878, 11047, 269, 1261, 3112, 31363, 1018, 568, 609, 1018, 729, 269, 901, 20678, 585, 21047, 568, 519, 1351, 3326, 776, 547, 519, 1292, 6249, 540, 1582, 12413, 6873, 607, 519, 6648, 12125, 519, 10564, 779, 6560, 547, 1265, 519, 2495, 540, 1010, 1272, 267, 547, 1265, 1010, 1378, 1747, 543, 942, 8015, 519, 21318, 540, 9739, 543, 2053, 602, 1028, 841, 1864, 269, 1261, 814, 2196, 998, 1010, 1272, 1175, 607, 646, 568, 1631, 4881, 1498, 519, 2592, 540, 3965, 3168, 585, 519, 968, 18431, 7450, 2223, 519, 835, 602, 786, 1930, 593, 547, 1702, 543, 21047, 267, 11836, 3388, 607, 835, 269, 2311, 2053, 646, 16339, 4202, 540, 2479, 4466, 606, 2626, 281, 968, 4517, 519, 10516, 729, 24631, 267, 952, 267, 2663, 593, 267, 538, 519, 1166, 541, 902, 540, 11397, 17334, 267, 972, 729, 711, 1447, 15280, 1145, 855, 811, 1848, 1717, 267, 4166, 1310, 713, 8909, 3948, 267, 519, 6648, 26088, 609, 606, 7357, 1114, 5133, 269, 3509, 13915, 723, 9275, 540, 519, 3134, 760, 7315, 625, 1459, 538, 631, 3930, 345, 779, 9954, 267, 519, 6727, 8090, 540, 16022, 9355, 538, 799, 1010, 968, 18431, 7450, 892, 6238, 547, 1930, 269, 968, 30949, 9453, 513, 8745, 892, 7475, 609, 971, 513, 4090, 607, 519, 10564, 267, 945, 814, 1193, 1508, 547, 5581, 1010, 1272, 543, 3142, 883, 10103, 2250, 543, 1459, 267, 10393, 6763, 544, 1393, 1354, 2592, 540, 513, 12560, 2669, 543, 519, 3280, 540, 2575, 269, 1261, 1281, 711, 1616, 547, 3717, 282, 646, 1281, 711, 1616, 547, 5581, 269, 12344, 519, 1995, 267, 519, 4743, 267, 568, 519, 10103, 269, 0, 294, 16781, 601, 267, 610, 17520, 286, 769, 2221, 779, 2486, 267, 649, 3068, 1082, 28749, 602, 2014, 721, 547, 1831, 31604, 543, 4617, 950, 5185, 609, 513, 4161, 269, 769, 519, 12473, 29028, 12261, 676, 8738, 2023, 681, 3530, 601, 267, 13983, 526, 601, 568, 513, 3765, 30514, 20599, 945, 3123, 1928, 2390, 13337, 1652, 1004, 267, 543, 568, 12592, 676, 741, 1928, 269, 4653, 779, 28749, 949, 711, 581, 4890, 7068, 267, 855, 789, 798, 2014, 519, 1482, 32049, 2360, 593, 1004, 267, 29544, 9409, 538, 938, 2486, 563, 5575, 540, 782, 267, 8751, 20484, 538, 513, 5636, 664, 538, 519, 4064, 540, 519, 4884, 269, 2311, 1101, 8751, 568, 15034, 540, 986, 4771, 2904, 7578, 661, 342, 1638, 269, 769, 1459, 1554, 1715, 3840, 713, 1131, 581, 513, 15265, 3364, 547, 798, 543, 267, 1394, 1287, 621, 729, 15265, 849, 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 ]
[ 2681, 729, 5833, 607, 513, 1267, 540, 5542, 960, 538, 23446, 13305, 7656, 563, 5475, 519, 476, 31634, 338, 267, 4154, 8127, 2968, 2442, 10130, 269, 8307, 14547, 1004, 1223, 1489, 873, 693, 602, 942, 2094, 789, 1185, 2614, 2230, 585, 25786, 4357, 22253, 543, 20115, 563, 24836, 706, 958, 267, 519, 3747, 585, 4154, 8127, 2799, 267, 519, 3902, 8593, 267, 543, 7930, 538, 1082, 4457, 5321, 267, 789, 2968, 8723, 10130, 563, 22873, 6053, 267, 519, 3165, 3262, 547, 1473, 5255, 2088, 267, 693, 519, 4098, 540, 519, 2473, 9654, 2540, 3357, 547, 3567, 269, 10871, 9742, 619, 723, 26870, 513, 1804, 1297, 540, 1007, 14981, 540, 4154, 8127, 543, 723, 1831, 6444, 3401, 538, 713, 2361, 563, 763, 1101, 4154, 8127, 3357, 547, 2342, 538, 519, 476, 1704, 628, 2540, 269, 2311, 1101, 267, 741, 1942, 729, 1360, 1164, 267, 543, 1152, 519, 5763, 5006, 1004, 1223, 6488, 547, 1832, 4154, 8127, 269, 589, 2540, 2663, 267, 4154, 8127, 3262, 4922, 2429, 2342, 563, 763, 1101, 2963, 540, 519, 5920, 540, 4154, 8127, 538, 6576, 7389, 1394, 547, 519, 2473, 309, 29930, 9654, 5553, 267, 2356, 267, 621, 729, 22064, 689, 4914, 5605, 817, 611, 832, 269, 1809, 519, 2647, 3892, 540, 3165, 5956, 538, 519, 2473, 23997, 2540, 1282, 519, 12081, 540, 17578, 541, 5981, 324, 328, 631, 16554, 841, 990, 747, 267, 543, 2663, 1010, 5067, 1107, 8834, 594, 563, 3086, 12997, 267, 513, 2647, 5542, 540, 4154, 8127, 2249, 568, 2139, 547, 6864, 541, 1235, 267, 799, 616, 6738, 593, 7463, 3165, 11396, 630, 10852, 569, 538, 519, 2477, 540, 14913, 5607, 1916, 7712, 519, 4540, 4154, 8127, 616, 519, 1267, 540, 519, 9960, 540, 4154, 8127, 267, 621, 568, 711, 2009, 547, 2743, 873, 538, 741, 2067, 9249, 269, 634, 15556, 540, 4154, 8127, 5950, 883, 513, 2067, 1560, 540, 1216, 2356, 28115, 919, 883, 922, 3312, 1106, 936, 1896, 5481, 563, 20112, 8127, 630, 10111, 817, 3780, 28050, 9850, 264, 1107, 513, 1106, 540, 2267, 857, 534, 15790, 267, 31567, 26870, 689, 8988, 2267, 857, 534, 538, 3624, 269, 631, 1549, 540, 519, 968, 326, 1245, 523, 3165, 892, 630, 326, 1245, 8127, 264, 568, 1101, 1336, 538, 4457, 3045, 1023, 267, 519, 2067, 2039, 540, 713, 2249, 2882, 519, 8933, 540, 519, 7013, 4457, 16899, 563, 22068, 591, 2267, 857, 534, 15790, 630, 845, 28861, 2961, 817, 3780, 28050, 9850, 267, 1631, 2961, 817, 3780, 575, 756, 601, 1470, 264, 1107, 519, 3552, 18577, 1106, 540, 519, 4154, 8127, 1107, 729, 8385, 7856, 538, 519, 7297, 540, 6239, 5607, 543, 27584, 4997, 267, 607, 1134, 607, 538, 519, 2539, 10301, 540, 519, 1488, 531, 7256, 269, 13536, 267, 2267, 857, 534, 15790, 729, 31567, 12306, 538, 1082, 23854, 538, 2342, 543, 27584, 4997, 269, 5253, 585, 1864, 616, 2371, 267, 1033, 761, 639, 267, 1507, 12933, 30702, 267, 543, 7786, 269, 2311, 519, 4098, 540, 519, 476, 1626, 628, 2540, 267, 891, 3165, 941, 1101, 29633, 547, 3567, 543, 3624, 267, 1141, 789, 21243, 519, 11440, 10651, 563, 1103, 930, 23854, 267, 1152, 8951, 540, 8988, 15790, 2661, 267, 799, 9742, 609, 9038, 540, 1644, 2249, 540, 3165, 630, 25209, 267, 2267, 857, 534, 15790, 267, 4557, 577, 267, 1786, 600, 267, 15790, 267, 543, 1866, 1040, 2311, 519, 1482, 942, 267, 521, 704, 3901, 9926, 10394, 540, 5702, 1644, 2249, 12954, 519, 1646, 540, 5798, 267, 29528, 616, 711, 4646, 267, 543, 1152, 8951, 2408, 538, 519, 15556, 267, 5885, 519, 4540, 2551, 563, 1103, 5920, 267, 4154, 543, 8988, 2267, 857, 534, 15790, 616, 2147, 269, 769, 930, 23854, 267, 891, 2249, 2661, 1927, 269, 769, 713, 2013, 267, 16795, 12761, 540, 4154, 2267, 857, 534, 609, 8988, 4386, 269, 18234, 543, 4154, 8127, 666, 954, 3691, 539, 543, 3132, 29528, 602, 616, 1336, 538, 930, 4703, 540, 1216, 563, 2467, 568, 513, 1966, 540, 10962, 16983, 4154, 8127, 883, 519, 2067, 1604, 269, 1924, 267, 538, 5245, 267, 930, 6864, 541, 1235, 5950, 741, 3165, 883, 2067, 1216, 4703, 267, 1141, 789, 6603, 513, 9645, 2450, 593, 513, 3638, 28532, 3490, 269, 634, 4102, 540, 891, 2043, 1185, 513, 2527, 540, 476, 272, 269, 280, 4846, 269, 2311, 519, 1482, 942, 267, 4154, 8127, 10460, 513, 3463, 547, 519, 1964, 540, 519, 11317, 540, 519, 13111, 1107, 789, 3533, 3548, 2362, 2371, 543, 13479, 267, 799, 5932, 513, 17732, 540, 3049, 267, 666, 6861, 519, 5798, 540, 824, 3165, 267, 543, 3262, 5563, 563, 763, 1297, 540, 9960, 14981, 540, 4154, 8127, 568, 3274, 5863, 267, 693, 519, 4090, 972, 616, 811, 982, 476, 4968, 269, 25569, 338, 540, 1296, 540, 1585, 3444, 902, 543, 6297, 5542, 723, 8329, 547, 971, 1390, 4763, 269, 2368, 14981, 941, 5833, 1813, 547, 5329, 3165, 538, 15265, 2175, 281, 6864, 926, 4548, 609, 1804, 936, 28134, 267, 1360, 3636, 1216, 609, 4686, 2242, 267, 10731, 8023, 540, 2067, 1164, 3491, 12888, 20555, 269, 901, 3366, 547, 17061, 540, 5563, 267, 1813, 547, 799, 519, 17737, 540, 4154, 8127, 2220, 8215, 267, 2870, 519, 23944, 28987, 585, 4719, 2242, 267, 799, 941, 13604, 6378, 676, 5542, 563, 22873, 6053, 267, 476, 275, 1292, 14981, 941, 2813, 281, 27550, 4157, 514, 267, 654, 752, 514, 267, 681, 21123, 340, 267, 543, 23571, 267, 689, 519, 1585, 7648, 540, 799, 519, 2898, 3099, 540, 2413, 7648, 729, 6508, 269, 2353, 9960, 4154, 8127, 616, 5258, 883, 1079, 1804, 2516, 281, 1279, 1532, 617, 1221, 630, 1260, 564, 267, 530, 752, 514, 267, 3092, 4700, 543, 2110, 1532, 617, 1221, 630, 339, 10061, 2100, 267, 522, 8681, 320, 267, 3092, 12175, 634, 1101, 1895, 568, 14191, 547, 519, 3312, 1106, 267, 519, 3604, 616, 2356, 538, 519, 3337, 543, 2450, 540, 519, 27634, 269, 634, 7725, 540, 519, 2034, 1895, 23384, 1454, 811, 1713, 2242, 7133, 519, 2898, 1560, 540, 519, 3165, 269, 9603, 547, 2101, 2242, 538, 782, 8219, 267, 519, 14438, 540, 971, 3029, 568, 7494, 4389, 563, 2304, 4277, 4287, 538, 519, 5542, 540, 4154, 8127, 568, 519, 9960, 540, 2249, 609, 4064, 3168, 909, 269, 901, 568, 1813, 547, 519, 3140, 5389, 540, 11093, 3165, 269, 769, 2342, 267, 789, 616, 1031, 547, 8384, 4154, 8127, 689, 519, 2427, 267, 543, 538, 7489, 2477, 689, 519, 1283, 563, 1607, 9742, 568, 14191, 547, 922, 2067, 1106, 1107, 8988, 2267, 857, 534, 15790, 543, 2965, 15320, 689, 621, 1152, 538, 2681, 269, 634, 1560, 568, 28608, 267, 519, 2681, 568, 6505, 267, 2699, 11399, 1052, 269, 10815, 1455, 616, 14726, 540, 2699, 2681, 609, 3109, 9634, 543, 669, 842, 345, 1107, 2699, 15918, 871, 7146, 22554, 269, 2480, 2297, 723, 513, 14733, 17285, 561, 13831, 269, 634, 2766, 1710, 540, 513, 4154, 8127, 568, 2582, 267, 2110, 269, 2806, 12645, 543, 5247, 25714, 1107, 19610, 269, 898, 3340, 2230, 585, 10977, 267, 865, 606, 16983, 568, 14909, 609, 513, 1279, 3259, 269, 1358, 1332, 909, 547, 476, 1789, 4699, 269, 7201, 1434, 2175, 267, 513, 4154, 8127, 568, 2111, 547, 2661, 689, 476, 1015, 547, 476, 1789, 1296, 563, 307, 10061, 2100, 630, 339, 10061, 2100, 4154, 8127, 994, 763, 16263, 4154, 8127, 568, 835, 540, 519, 1034, 2442, 543, 8966, 14981, 540, 4154, 8127, 269, 634, 1101, 12215, 941, 26870, 538, 3624, 538, 519, 476, 1240, 628, 2540, 267, 1310, 799, 3567, 3576, 936, 269, 22370, 8554, 723, 1082, 8966, 24190, 4408, 269, 769, 519, 8092, 540, 519, 29547, 6129, 267, 513, 3165, 568, 2356, 1572, 513, 1629, 2131, 514, 269, 769, 1082, 7489, 2477, 267, 596, 666, 1265, 519, 2012, 22900, 12551, 610, 22900, 16685, 269, 634, 4408, 3717, 585, 2933, 543, 11168, 519, 1883, 4183, 540, 519, 3165, 1107, 3810, 2919, 4064, 602, 1694, 593, 2027, 11710, 543, 31732, 8775, 930, 3845, 689, 519, 15693, 269, 634, 1964, 568, 513, 3044, 2110, 1532, 617, 1221, 4154, 8127, 609, 513, 536, 604, 584, 322, 730, 2766, 1710, 269, 898, 1058, 581, 7074, 602, 5104, 32596, 798, 711, 723, 8984, 4439, 3101, 4064, 267, 789, 2253, 547, 2408, 1152, 3670, 3275, 689, 519, 4090, 540, 4332, 269, 769, 930, 24985, 267, 519, 11710, 666, 581, 909, 547, 476, 273, 4699, 1279, 269, 17497, 267, 1896, 2010, 540, 4064, 616, 13747, 538, 24985, 912, 763, 2531, 539, 4064, 267, 8280, 7371, 17202, 267, 13148, 31732, 8775, 630, 291, 727, 28438, 1916, 14503, 520, 4064, 723, 513, 20425, 3337, 609, 513, 6366, 2627, 630, 14503, 520, 28438, 1916, 763, 4064, 31732, 8775, 4625, 543, 18613, 513, 12106, 630, 10908, 12786, 28438, 1916, 2467, 616, 513, 1804, 1297, 540, 2681, 3029, 543, 7648, 269, 15706, 609, 4625, 3109, 2681, 616, 2523, 12595, 269, 769, 519, 2136, 2276, 267, 789, 616, 1572, 4563, 631, 3233, 7108, 8127, 269, 3776, 10284, 686, 1824, 7074, 538, 519, 5137, 540, 835, 540, 519, 1034, 4190, 3029, 540, 519, 16263, 281, 693, 519, 1439, 540, 519, 476, 866, 628, 2540, 267, 513, 7123, 4528, 540, 519, 16263, 609, 3109, 2681, 543, 513, 1279, 2766, 729, 5833, 269, 898, 729, 1572, 519, 18293, 4563, 23571, 269, 898, 729, 2442, 538, 6576, 543, 13383, 269, 769, 476, 3707, 272, 267, 606, 23153, 6864, 30658, 1656, 6929, 990, 5833, 513, 3109, 16263, 609, 6505, 2699, 4064, 563, 20112, 8127, 19643, 12187, 630, 20112, 8127, 19643, 12187, 2766, 994, 763, 9742, 7902, 593, 9042, 827, 476, 2412, 1296, 3516, 543, 568, 513, 1826, 540, 16263, 269, 589, 10058, 4183, 568, 519, 5595, 1309, 644, 531, 1710, 267, 799, 20998, 519, 12209, 540, 513, 18173, 950, 9763, 689, 1657, 269, 634, 4064, 540, 519, 3165, 616, 4439, 3101, 269, 634, 2681, 666, 581, 9867, 281, 585, 1383, 267, 3109, 543, 3043, 12462, 303, 7701, 25257, 2699, 543, 3109, 1179, 802, 12462, 28012, 623, 7701, 25257, 3092, 269, 1879, 6854, 538, 606, 16983, 267, 798, 711, 3888, 23598, 609, 8325, 8728, 1107, 4064, 543, 2766, 949, 7985, 269, 634, 2450, 568, 827, 476, 1015, 4699, 269, 5020, 19104, 568, 476, 1015, 268, 1428, 1296, 563, 310, 752, 514, 630, 20112, 8127, 654, 752, 514, 994, 29209, 4154, 8127, 585, 1804, 6864, 926, 4548, 543, 25798, 22253, 267, 9428, 909, 547, 476, 736, 4699, 610, 811, 269, 901, 9742, 666, 581, 2808, 519, 28738, 3218, 540, 1082, 3029, 540, 4154, 8127, 269, 6555, 528, 1027, 538, 3567, 2094, 519, 4098, 540, 519, 2473, 23997, 2540, 269, 634, 1560, 568, 8731, 6244, 334, 11057, 267, 519, 2766, 568, 536, 604, 584, 322, 730, 269, 918, 16211, 15320, 689, 15790, 538, 519, 9000, 540, 13494, 333, 2801, 269, 769, 1840, 547, 519, 1309, 644, 531, 1710, 267, 513, 15116, 640, 568, 606, 8966, 2681, 1107, 1804, 2699, 11399, 1052, 610, 5835, 9634, 593, 513, 3043, 4282, 269, 634, 6505, 2699, 2681, 568, 2808, 519, 1034, 3407, 269, 1358, 666, 2661, 538, 606, 16983, 585, 909, 547, 476, 736, 1296, 563, 289, 889, 1076, 16685, 630, 20112, 8127, 32686, 1076, 16685, 994, 3080, 540, 519, 1034, 8966, 14981, 540, 4154, 8127, 269, 634, 1560, 568, 9065, 1355, 267, 519, 2766, 568, 536, 604, 584, 322, 730, 269, 589, 4183, 568, 519, 4527, 540, 1079, 18616, 16304, 593, 519, 5011, 896, 519, 4064, 267, 4904, 609, 5277, 269, 1358, 666, 3914, 909, 547, 476, 26528, 1560, 2450, 269, 634, 2681, 568, 3309, 267, 596, 666, 1265, 281, 2699, 11399, 1052, 267, 669, 842, 345, 267, 3109, 267, 11909, 267, 3092, 269, 1358, 1106, 538, 1762, 4154, 8127, 6251, 547, 1079, 1296, 540, 2085, 269, 28438, 909, 267, 24725, 1710, 15534, 269, 1879, 6854, 538, 606, 16983, 267, 621, 1058, 581, 15422, 602, 11435, 540, 5277, 949, 16802, 269, 30272, 267, 789, 786, 9156, 855, 949, 4268, 538, 2450, 269, 769, 1840, 267, 606, 3968, 666, 1205, 883, 519, 10138, 267, 865, 621, 568, 5227, 547, 1305, 519, 29278, 1510, 8325, 8728, 585, 4154, 8127, 269, 32686, 1076, 4064, 616, 513, 1360, 10347, 4154, 8127, 543, 616, 11630, 547, 9190, 543, 16507, 3676, 269, 26228, 2450, 909, 547, 476, 1724, 4699, 1421, 5020, 19104, 909, 547, 476, 1428, 1296, 563, 3080, 540, 519, 1034, 4190, 7895, 580, 872, 3029, 267, 855, 2864, 1698, 878, 1190, 4154, 8127, 267, 799, 814, 1808, 2934, 538, 519, 1543, 269, 589, 10058, 4183, 540, 713, 9742, 568, 922, 27634, 269, 1358, 616, 1279, 543, 6094, 267, 3914, 1804, 7306, 543, 1413, 899, 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 ]
[ 711, 1152, 693, 513, 14887, 3432, 4534, 1472, 476, 7367, 267, 1822, 5195, 829, 5662, 4534, 855, 689, 513, 1114, 4287, 267, 1034, 2693, 15558, 676, 930, 2185, 5232, 689, 3105, 7403, 269, 6270, 513, 3017, 949, 711, 7620, 3100, 1713, 267, 855, 621, 5666, 547, 513, 2407, 476, 736, 260, 3017, 538, 875, 1454, 2604, 519, 7523, 12519, 2842, 11851, 338, 593, 519, 927, 328, 14459, 563, 257, 9288, 20011, 519, 2604, 593, 938, 927, 328, 14459, 689, 519, 1570, 538, 519, 14925, 543, 689, 519, 6419, 4610, 856, 972, 2437, 3081, 4168, 267, 834, 15884, 948, 3313, 519, 2450, 543, 3337, 540, 938, 3859, 1062, 607, 621, 12599, 998, 519, 14925, 4799, 4322, 25153, 13052, 7403, 849, 1683, 1344, 827, 519, 6531, 540, 1570, 538, 799, 519, 3859, 1062, 4867, 29084, 269, 901, 6531, 568, 1572, 519, 2199, 26300, 15362, 6531, 267, 547, 16174, 621, 689, 519, 16221, 540, 9325, 12269, 2429, 519, 27305, 10158, 267, 1142, 10707, 693, 1114, 11250, 269, 634, 3859, 1062, 543, 922, 927, 328, 14459, 6410, 883, 938, 2199, 6531, 693, 930, 1448, 1282, 519, 2063, 476, 3393, 267, 1822, 1296, 563, 7712, 519, 4587, 772, 569, 1087, 525, 7422, 540, 519, 7523, 12519, 2842, 3432, 729, 538, 1063, 519, 11250, 4397, 585, 519, 2199, 6531, 543, 519, 11105, 6531, 267, 3173, 2219, 5310, 519, 3859, 1062, 4769, 1405, 9114, 1159, 871, 538, 519, 1647, 540, 713, 6531, 267, 855, 1522, 581, 693, 519, 10465, 267, 28006, 883, 513, 1007, 3148, 540, 2230, 269, 25153, 13052, 781, 2164, 267, 2705, 267, 1397, 602, 649, 2611, 4628, 538, 519, 2199, 6531, 267, 693, 2547, 585, 519, 4090, 563, 28494, 2210, 830, 538, 519, 1985, 4627, 547, 1906, 8536, 1296, 267, 519, 1025, 1074, 540, 606, 3750, 593, 519, 2053, 322, 2297, 540, 519, 14925, 267, 938, 927, 328, 14459, 1058, 4734, 519, 2199, 26300, 15362, 6531, 543, 7237, 513, 1454, 1114, 7523, 12519, 1604, 2437, 5062, 4467, 553, 3081, 563, 1103, 1840, 547, 3246, 5813, 883, 519, 5872, 1063, 519, 3859, 1062, 543, 922, 1604, 267, 891, 1007, 2164, 849, 3180, 10881, 827, 519, 1686, 540, 1570, 538, 519, 7122, 269, 2755, 519, 2462, 29907, 7620, 2813, 7250, 543, 26775, 267, 1152, 519, 31975, 2801, 30762, 693, 519, 1439, 540, 513, 9649, 5182, 781, 1272, 666, 3262, 519, 18219, 2609, 540, 5135, 543, 19440, 998, 519, 14925, 269, 18833, 519, 5666, 540, 971, 2609, 538, 2230, 666, 948, 4786, 875, 519, 14925, 814, 7960, 543, 4957, 936, 942, 563, 21893, 1305, 540, 4574, 1683, 1082, 540, 519, 1101, 1463, 7403, 540, 519, 26300, 15362, 5420, 1472, 721, 2437, 3081, 5062, 4467, 553, 269, 834, 2171, 4312, 1044, 3843, 547, 1174, 938, 14925, 585, 513, 1279, 942, 267, 543, 609, 782, 540, 891, 7422, 1927, 267, 649, 616, 2921, 513, 2101, 1900, 4464, 538, 6616, 1018, 519, 2199, 851, 540, 519, 14925, 568, 899, 4799, 309, 1195, 4526, 476, 272, 1223, 3444, 856, 540, 938, 3859, 1062, 1369, 519, 1985, 1906, 1296, 269, 1635, 9256, 519, 1239, 689, 1896, 5036, 540, 8331, 7405, 1107, 772, 569, 1087, 525, 267, 30576, 4526, 267, 25153, 13052, 543, 1866, 1107, 649, 616, 593, 519, 10511, 823, 540, 19480, 3544, 543, 1620, 519, 1950, 1604, 3564, 938, 1378, 20281, 585, 519, 1101, 942, 563, 763, 25763, 3194, 4659, 2919, 543, 5012, 519, 25153, 13052, 5692, 609, 513, 2319, 540, 3084, 543, 3486, 4891, 269, 634, 14361, 568, 835, 540, 8331, 781, 3126, 540, 1970, 21057, 267, 6385, 2919, 13485, 538, 519, 9540, 10812, 3464, 5358, 269, 8331, 781, 2696, 323, 731, 6611, 22947, 4741, 538, 5682, 321, 3881, 267, 631, 323, 1421, 21314, 519, 1982, 585, 519, 8116, 781, 3163, 17030, 10615, 622, 269, 2690, 811, 1344, 827, 519, 25153, 13052, 5692, 267, 979, 547, 912, 306, 639, 534, 26673, 3700, 1923, 31823, 2336, 19741, 519, 1490, 574, 267, 24622, 3691, 549, 30982, 781, 10300, 334, 5267, 24360, 2250, 454, 2641, 269, 6349, 269, 1708, 271, 1923, 8331, 27798, 15957, 731, 6611, 22947, 4741, 454, 1015, 267, 1822, 2053, 5488, 9273, 540, 1082, 23073, 7061, 6384, 2009, 454, 2641, 269, 6349, 269, 1708, 271, 1923, 4168, 25575, 3691, 577, 1206, 268, 26536, 28059, 1990, 340, 918, 1408, 454, 763, 10512, 3432, 540, 15373, 832, 538, 1585, 5907, 543, 1904, 29741, 3055, 3457, 568, 3908, 547, 1896, 17254, 320, 615, 16379, 630, 320, 5479, 14251, 725, 829, 2034, 1040, 901, 7889, 1231, 519, 5580, 3970, 540, 519, 10512, 3432, 540, 7384, 269, 3767, 3173, 689, 519, 7665, 23851, 4659, 585, 519, 12856, 543, 18868, 540, 17460, 538, 31297, 267, 5125, 267, 543, 519, 4095, 4659, 540, 5303, 538, 25512, 599, 723, 6045, 875, 891, 3157, 666, 581, 838, 539, 909, 998, 519, 946, 540, 1769, 6329, 543, 8919, 539, 4396, 2326, 563, 23409, 6329, 1685, 1896, 4627, 18265, 14251, 725, 829, 2034, 269, 9747, 267, 621, 568, 2067, 547, 19424, 14139, 1769, 14251, 725, 547, 5397, 519, 5907, 2483, 7197, 2067, 543, 5841, 7252, 616, 11315, 281, 8407, 543, 1256, 14296, 602, 2408, 5347, 547, 519, 21736, 3750, 666, 1413, 899, 795, 698, 3022, 7823, 9832, 896, 519, 17209, 269, 1703, 568, 4867, 1100, 7833, 3069, 827, 519, 5169, 540, 713, 11315, 1145, 5103, 621, 1373, 4767, 593, 782, 10253, 267, 689, 519, 10570, 547, 519, 29684, 269, 12207, 14353, 602, 519, 11315, 2627, 568, 4646, 676, 26464, 5068, 22636, 602, 4386, 538, 1082, 3157, 540, 7344, 20619, 540, 3334, 971, 607, 17819, 563, 30267, 269, 3220, 269, 700, 1513, 12815, 1168, 6390, 689, 519, 29896, 1895, 693, 519, 4972, 540, 5843, 17882, 338, 7177, 693, 519, 2160, 540, 6154, 756, 4026, 543, 1010, 2319, 723, 20533, 971, 2483, 20059, 12720, 540, 519, 2837, 13829, 540, 519, 6607, 3944, 542, 8065, 1198, 8761, 2417, 4030, 883, 2009, 1007, 1239, 4859, 3457, 454, 763, 4745, 1382, 1788, 540, 29312, 717, 9790, 6199, 2160, 6301, 345, 630, 297, 294, 308, 264, 543, 519, 12590, 4659, 540, 5303, 630, 300, 3951, 264, 602, 1185, 5892, 7152, 2483, 12867, 693, 30634, 11302, 2160, 540, 5303, 267, 13785, 267, 5063, 6192, 513, 476, 276, 4458, 1382, 1788, 3168, 693, 875, 547, 1118, 20249, 23726, 10618, 1949, 811, 1648, 3608, 269, 7324, 741, 18747, 616, 5100, 267, 5470, 2275, 8091, 532, 1239, 13863, 11387, 267, 799, 789, 15568, 547, 581, 476, 1015, 2053, 1447, 1648, 2204, 696, 633, 269, 634, 1788, 814, 26857, 1896, 3621, 4930, 267, 538, 12326, 1519, 7186, 18058, 563, 1805, 3195, 532, 8874, 543, 2575, 267, 29957, 998, 1514, 2923, 267, 543, 1210, 6531, 2861, 4859, 2533, 616, 4948, 2238, 1631, 563, 5475, 4543, 1020, 513, 1007, 1935, 585, 5214, 10282, 4534, 3327, 31622, 4088, 6198, 1436, 4534, 3744, 693, 2506, 800, 2160, 616, 1631, 6029, 875, 713, 1935, 949, 4019, 547, 3075, 6602, 269, 7186, 9697, 4519, 3370, 741, 1034, 2487, 960, 4534, 513, 29765, 1184, 585, 1818, 513, 1614, 8820, 21934, 1245, 540, 16994, 1719, 547, 519, 14453, 2872, 563, 257, 5978, 2645, 1930, 909, 2898, 1007, 3114, 2230, 585, 1761, 3075, 9072, 2437, 3081, 13535, 342, 5096, 625, 267, 2506, 800, 7548, 540, 5214, 7998, 543, 9972, 2278, 540, 519, 1957, 563, 1321, 269, 6349, 269, 1708, 271, 1923, 7926, 5240, 454, 1626, 269, 4905, 269, 1708, 271, 1923, 7926, 5240, 454, 1428, 269, 4905, 269, 1708, 271, 1923, 7926, 5240, 454, 2190, 269, 6349, 269, 1708, 271, 1923, 16581, 543, 32645, 3163, 454, 2190, 269, 6349, 269, 1708, 271, 1923, 3047, 7070, 454, 2190, 269, 6349, 269, 1708, 271, 1923, 16581, 543, 32645, 3163, 0, 2171, 3494, 602, 30765, 568, 606, 1271, 543, 10747, 2686, 1148, 1106, 269, 10801, 942, 267, 1480, 7919, 723, 21892, 2621, 538, 1931, 547, 948, 721, 1118, 2631, 540, 519, 1950, 1158, 649, 2661, 538, 269, 30765, 693, 18301, 8822, 7991, 5441, 568, 6026, 538, 513, 11295, 543, 2143, 6073, 602, 16716, 513, 3666, 1063, 3695, 1184, 12416, 630, 14048, 676, 16545, 1995, 264, 543, 1587, 610, 1983, 1759, 12416, 1107, 519, 4739, 540, 16222, 1818, 269, 1284, 1020, 14565, 540, 960, 602, 28596, 6278, 998, 938, 6297, 3903, 540, 6249, 543, 1888, 543, 4019, 2038, 538, 938, 3450, 519, 21246, 1023, 543, 4879, 7355, 602, 519, 981, 12545, 21028, 269, 3776, 4245, 3335, 1376, 609, 513, 25690, 610, 3636, 909, 267, 606, 4367, 547, 519, 17003, 267, 513, 2519, 15007, 610, 4640, 602, 14604, 519, 2898, 1895, 610, 1507, 1895, 960, 543, 606, 4316, 547, 5965, 267, 1685, 543, 6218, 538, 513, 2922, 543, 11215, 18638, 1604, 563, 15761, 571, 268, 22793, 2238, 543, 3255, 616, 5393, 1271, 538, 519, 30765, 4972, 543, 1331, 835, 1804, 4336, 1404, 2773, 543, 519, 2898, 2852, 7574, 602, 568, 4867, 5340, 12422, 269, 769, 1840, 267, 1053, 945, 616, 2921, 11400, 538, 12416, 666, 1569, 3063, 31667, 531, 942, 543, 4116, 1489, 607, 789, 960, 2509, 12290, 12644, 563, 763, 589, 1377, 30765, 543, 20989, 1576, 693, 918, 6717, 3091, 1053, 606, 5863, 4316, 547, 2263, 12416, 543, 16222, 538, 1713, 3178, 543, 1469, 269, 29760, 593, 519, 1909, 540, 11051, 267, 19971, 267, 5830, 543, 9858, 269, 1703, 616, 1713, 2773, 2609, 799, 2306, 713, 513, 1360, 4052, 1641, 267, 20690, 2740, 676, 606, 1898, 543, 4241, 4081, 3408, 540, 519, 3069, 543, 1686, 540, 16222, 1369, 1114, 1514, 267, 2797, 543, 2686, 8658, 269, 0, 305, 5819, 21297, 2504, 267, 2179, 540, 10424, 21297, 555, 3554, 710, 543, 3834, 2684, 31099, 15374, 1646, 538, 22504, 9932, 13520, 630, 25721, 529, 20649, 32070, 2405, 320, 264, 10125, 10480, 609, 1114, 2157, 540, 555, 3554, 710, 454, 763, 4603, 729, 5645, 856, 896, 2067, 2783, 547, 2708, 1761, 5222, 540, 555, 3554, 710, 6484, 593, 1646, 540, 3834, 2684, 31099, 15374, 630, 27426, 19199, 1070, 2179, 540, 10424, 21297, 555, 3554, 710, 543, 21297, 2504, 538, 9932, 13520, 10125, 630, 25721, 529, 20649, 32070, 631, 12175, 901, 4693, 729, 5645, 856, 693, 26006, 27392, 4972, 540, 10960, 3163, 3194, 4659, 540, 9459, 269, 26062, 9932, 13520, 10125, 267, 5258, 883, 476, 276, 8097, 2516, 267, 941, 1031, 538, 519, 1353, 269, 6513, 2516, 941, 10480, 4006, 21360, 630, 272, 281, 272, 1040, 634, 8097, 10125, 941, 10480, 538, 519, 1482, 6073, 855, 609, 21360, 29979, 609, 1114, 2157, 540, 555, 3554, 710, 630, 1911, 267, 476, 1220, 267, 476, 4968, 543, 476, 6110, 28327, 1040, 634, 4603, 729, 5342, 585, 476, 2568, 2395, 269, 1677, 8495, 519, 1646, 540, 24605, 19199, 267, 3259, 543, 8700, 540, 4557, 1035, 7236, 585, 1142, 11832, 13520, 693, 476, 274, 267, 476, 277, 267, 476, 280, 267, 476, 1321, 543, 476, 1428, 2395, 941, 6027, 1210, 513, 8305, 334, 2173, 2222, 2675, 2100, 269, 589, 2582, 10868, 1184, 729, 6964, 543, 555, 3554, 710, 729, 5462, 676, 24605, 9448, 269, 634, 1267, 4951, 602, 519, 1035, 1400, 1858, 540, 24605, 19199, 729, 1114, 896, 8023, 609, 3017, 11326, 269, 16690, 625, 10480, 609, 1164, 1377, 555, 3554, 710, 1185, 513, 3677, 1035, 7236, 2627, 630, 303, 283, 271, 269, 4962, 1040, 774, 3554, 710, 1543, 540, 10424, 21297, 5439, 941, 9916, 676, 24605, 9448, 4951, 602, 519, 2179, 540, 10424, 808, 11481, 555, 3554, 710, 538, 10125, 10480, 476, 6110, 28327, 645, 272, 630, 273, 269, 278, 8406, 270, 1911, 575, 264, 729, 811, 982, 1022, 824, 12733, 630, 303, 283, 271, 269, 4962, 1040, 774, 3554, 710, 1543, 540, 10424, 21297, 538, 519, 1852, 1895, 630, 271, 269, 6858, 8406, 270, 1911, 575, 264, 1185, 519, 9803, 2179, 630, 303, 283, 271, 269, 4962, 1040, 769, 2489, 621, 666, 581, 1767, 602, 519, 946, 540, 1114, 2157, 540, 555, 3554, 710, 538, 5614, 4005, 5012, 547, 4824, 2773, 538, 22504, 9932, 23331, 10125, 563, 22711, 540, 1323, 27332, 1763, 792, 2583, 267, 11730, 281, 4029, 17136, 281, 275, 267, 476, 1001, 280, 454, 32076, 910, 476, 275, 1704, 454, 14507, 15906, 404, 368, 20901, 8294, 17262, 12168, 363, 25078, 20254, 14507, 25078, 17262, 12168, 357, 20901, 27755, 20254, 14180, 18457, 17262, 14180, 27755, 404, 371, 12022, 24220, 454, 21333, 14507, 12168, 367, 8294, 17262, 20254, 12168, 373, 404, 370, 15906, 12168, 368, 15906, 17262, 21333, 476, 15906, 476, 20901, 404, 366, 17262, 14180, 20901, 18457, 404, 368, 20254, 14507, 8294, 30764, 476, 17262, 30764, 25078, 8294, 12022, 20901, 12168, 367, 8294, 17262, 20254, 12168, 357, 20901, 27755, 24220, 12022, 404, 374, 476, 4968, 267, 1822, 14507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3842, 12108, 543, 14604, 6932, 538, 13416, 2923, 630, 2304, 1696, 620, 1421, 476, 1001, 273, 282, 9855, 543, 16874, 2917, 267, 476, 1001, 275, 1040, 12108, 28279, 711, 1152, 2489, 1435, 331, 923, 543, 5095, 267, 855, 849, 20859, 945, 4020, 3377, 856, 540, 519, 12108, 5048, 610, 1256, 519, 512, 11548, 3294, 269, 9282, 1152, 513, 19625, 540, 2090, 723, 8268, 713, 3095, 630, 301, 1120, 1127, 543, 10557, 267, 476, 1001, 280, 1070, 621, 5267, 519, 2956, 540, 1620, 519, 14604, 540, 12108, 20261, 538, 6422, 543, 1950, 3871, 971, 607, 602, 540, 519, 9687, 6855, 6433, 269, 2334, 2797, 11051, 5402, 17492, 17408, 1115, 547, 9029, 547, 1978, 14604, 568, 2907, 1134, 268, 25969, 630, 297, 28427, 267, 29883, 267, 543, 7108, 342, 817, 518, 267, 476, 1001, 278, 1040, 2755, 4505, 2090, 1031, 8261, 2553, 547, 2263, 519, 6932, 14604, 267, 1804, 1239, 2553, 616, 1152, 1631, 1373, 1031, 547, 1020, 5813, 883, 12108, 14604, 676, 3695, 519, 18941, 540, 519, 1893, 1031, 607, 11347, 540, 519, 14604, 1373, 32215, 539, 563, 303, 11823, 3401, 543, 1857, 11051, 946, 12108, 607, 513, 1883, 2792, 2230, 1813, 547, 922, 1463, 1145, 543, 4059, 2329, 269, 1306, 12920, 874, 650, 267, 26943, 27198, 267, 543, 670, 652, 517, 630, 1001, 274, 264, 4063, 267, 12108, 14604, 1114, 689, 2527, 2923, 14604, 538, 602, 12108, 14604, 616, 1463, 689, 1883, 2959, 269, 1306, 971, 267, 789, 2992, 1463, 8942, 547, 3310, 1857, 6644, 543, 7521, 543, 547, 948, 3337, 1018, 568, 3769, 543, 16934, 538, 519, 1857, 9345, 269, 5015, 267, 12108, 14604, 941, 1419, 1034, 5693, 4294, 547, 8954, 633, 610, 1950, 2152, 630, 295, 655, 874, 650, 1696, 620, 1421, 476, 1001, 274, 1040, 1635, 2870, 513, 2874, 7406, 936, 942, 998, 5781, 18110, 1883, 2453, 543, 1893, 267, 4509, 3159, 543, 18941, 267, 543, 2519, 593, 2312, 14422, 267, 2797, 3401, 666, 946, 12108, 547, 27464, 519, 3084, 6643, 5196, 1018, 789, 1294, 607, 519, 1292, 14422, 538, 1018, 616, 1950, 543, 6422, 2152, 267, 1519, 5774, 12515, 563, 26212, 1382, 814, 6743, 693, 875, 13044, 268, 866, 814, 1044, 29600, 593, 12108, 3622, 630, 291, 4209, 344, 267, 476, 1708, 271, 1070, 585, 610, 1996, 1808, 2516, 610, 5095, 630, 4537, 3120, 17304, 267, 11023, 342, 880, 267, 543, 2098, 698, 17924, 8643, 267, 476, 1708, 271, 282, 654, 545, 651, 543, 645, 860, 5886, 328, 267, 476, 1708, 272, 1070, 610, 1369, 3908, 8658, 630, 310, 545, 651, 543, 645, 860, 5886, 328, 267, 476, 1708, 271, 1040, 23225, 2090, 723, 3379, 12108, 946, 1282, 519, 6855, 1063, 3084, 3401, 563, 10932, 814, 7152, 519, 2702, 540, 25194, 547, 3310, 1857, 8369, 543, 8456, 593, 2152, 269, 2755, 25194, 1382, 814, 5631, 5059, 593, 2757, 2923, 267, 1514, 2923, 5867, 899, 12108, 723, 1044, 3254, 547, 581, 5867, 585, 25194, 269, 1306, 519, 1158, 814, 12066, 1194, 609, 5046, 268, 866, 267, 1082, 1158, 3401, 3576, 547, 1514, 2923, 5867, 267, 971, 607, 12108, 547, 5968, 609, 741, 4961, 269, 634, 1893, 1031, 676, 1158, 3401, 568, 1713, 538, 5935, 543, 13057, 1857, 1072, 3800, 630, 305, 18860, 2967, 543, 645, 684, 576, 267, 476, 1708, 271, 1040, 634, 12108, 20261, 689, 1158, 3401, 267, 607, 1134, 607, 519, 1857, 267, 538, 476, 1708, 271, 24132, 689, 13181, 267, 547, 2797, 267, 547, 2942, 630, 310, 545, 651, 543, 645, 860, 5886, 328, 267, 476, 1708, 271, 1040, 4935, 267, 538, 1899, 609, 10372, 547, 2417, 12172, 875, 5046, 268, 866, 568, 29600, 630, 305, 18860, 2967, 1299, 645, 684, 576, 267, 476, 1708, 271, 282, 654, 545, 651, 1299, 645, 860, 5886, 328, 267, 476, 1708, 271, 1070, 543, 2679, 1055, 540, 27696, 7835, 1210, 18941, 2079, 543, 2067, 1893, 4393, 547, 2263, 1480, 1893, 543, 2792, 630, 289, 584, 2675, 615, 1696, 620, 1421, 476, 1001, 275, 282, 27213, 1696, 620, 1421, 476, 1001, 280, 282, 23520, 267, 1696, 620, 1421, 476, 1001, 279, 282, 32147, 839, 267, 543, 645, 529, 6265, 267, 476, 1001, 279, 264, 649, 10460, 519, 1739, 1382, 2055, 827, 519, 12108, 7180, 540, 519, 12866, 28438, 3401, 3823, 5046, 268, 866, 912, 305, 304, 272, 281, 1215, 4749, 1705, 1142, 6205, 512, 11548, 827, 5046, 268, 866, 538, 476, 1708, 271, 888, 305, 304, 273, 281, 6904, 14604, 7153, 689, 512, 11548, 1543, 540, 1142, 6205, 3823, 5046, 268, 866, 888, 305, 304, 274, 281, 1548, 729, 519, 2949, 512, 11548, 32447, 540, 1142, 6205, 3823, 5046, 268, 866, 888, 305, 304, 275, 281, 1677, 1018, 6708, 666, 3401, 685, 2104, 17408, 1115, 581, 10567, 676, 519, 1239, 888, 1607, 1382, 7710, 3401, 685, 8369, 593, 12108, 267, 3823, 519, 5046, 268, 866, 6855, 998, 18941, 2079, 1210, 2067, 1893, 4393, 630, 301, 10861, 1040, 4578, 941, 9268, 538, 5124, 543, 3308, 1242, 998, 9185, 269, 12108, 19646, 476, 20065, 2929, 10865, 3742, 3755, 267, 799, 2636, 3401, 547, 3914, 513, 3376, 5304, 543, 1921, 609, 741, 1004, 1510, 10827, 2456, 630, 307, 1678, 990, 338, 6390, 267, 476, 1708, 272, 1040, 13329, 2939, 2079, 3322, 5464, 4664, 538, 7391, 593, 1514, 2923, 5867, 269, 13329, 2939, 2079, 3096, 28589, 547, 1118, 2631, 540, 1480, 1893, 543, 3684, 1565, 630, 298, 548, 514, 1696, 620, 1421, 476, 1001, 279, 1040, 13329, 2939, 2079, 568, 519, 1184, 540, 5599, 6209, 3270, 689, 21849, 1239, 269, 901, 2186, 540, 2079, 12116, 8456, 543, 4664, 267, 543, 5531, 338, 1344, 827, 519, 2796, 865, 547, 3589, 543, 1118, 4977, 12985, 3664, 1759, 593, 1804, 21849, 14449, 269, 2290, 1505, 540, 18941, 2079, 3651, 338, 8701, 640, 547, 513, 4062, 540, 1257, 267, 585, 1383, 267, 2318, 267, 2942, 267, 610, 9243, 630, 288, 3258, 19789, 1696, 620, 1421, 476, 1001, 272, 1040, 4045, 532, 18941, 2079, 2645, 2047, 547, 12108, 2636, 3173, 547, 6895, 17408, 1115, 607, 543, 950, 789, 2097, 538, 267, 476, 2190, 270, 278, 267, 543, 1205, 909, 3562, 7308, 18826, 4030, 689, 891, 1514, 19528, 269, 13329, 2939, 2079, 568, 11543, 538, 23146, 538, 2792, 1382, 630, 289, 584, 2675, 615, 1696, 620, 1421, 476, 1001, 275, 282, 7605, 956, 1696, 620, 1421, 476, 1708, 271, 282, 23052, 330, 3298, 5652, 1696, 620, 1421, 476, 1001, 279, 1040, 13329, 2939, 2079, 1210, 28589, 568, 513, 3209, 543, 7347, 1106, 540, 1239, 2079, 1031, 547, 1174, 1585, 14604, 538, 2923, 267, 1519, 12108, 543, 824, 3029, 540, 1514, 2923, 630, 288, 5652, 6686, 516, 330, 1696, 620, 1421, 476, 1708, 271, 282, 13198, 334, 267, 2098, 22015, 267, 543, 20961, 267, 476, 1001, 280, 1916, 288, 2698, 540, 476, 1428, 267, 279, 4366, 9708, 941, 6394, 689, 519, 2947, 3401, 685, 12108, 6589, 1210, 519, 12108, 20837, 532, 16286, 630, 32101, 19510, 28497, 1040, 634, 12108, 16286, 2636, 3173, 547, 1569, 543, 2170, 609, 1857, 12108, 1239, 269, 1284, 1031, 519, 12108, 18297, 16286, 630, 307, 933, 788, 344, 264, 547, 1921, 609, 12108, 1239, 12535, 543, 5531, 17408, 1115, 543, 1427, 933, 1115, 5627, 17161, 543, 814, 6255, 4711, 267, 607, 1134, 607, 1297, 540, 15055, 543, 1297, 540, 1427, 933, 1115, 543, 741, 20171, 942, 689, 891, 2947, 3401, 269, 634, 1239, 5542, 7406, 585, 782, 17408, 1115, 729, 689, 5130, 476, 272, 267, 476, 1708, 271, 547, 5412, 476, 2641, 267, 476, 1708, 271, 269, 9652, 630, 18197, 8003, 1070, 2558, 8775, 879, 630, 28657, 1070, 1488, 1457, 333, 630, 301, 313, 264, 543, 31513, 779, 630, 288, 4785, 264, 1239, 941, 6707, 6394, 1210, 12108, 16286, 18297, 563, 7628, 1239, 4015, 538, 5130, 476, 1708, 272, 267, 12108, 9307, 602, 5449, 5518, 18496, 11686, 779, 630, 4785, 264, 12108, 729, 17735, 18385, 593, 5130, 476, 279, 267, 476, 1708, 272, 630, 303, 9007, 550, 267, 476, 1708, 272, 1040, 634, 20022, 5921, 11686, 779, 1991, 17408, 1115, 941, 856, 540, 1857, 2070, 269, 4825, 933, 1115, 540, 519, 7022, 779, 6835, 941, 6569, 689, 519, 4464, 532, 3593, 779, 28868, 267, 543, 10839, 17408, 1115, 941, 8719, 609, 519, 5048, 968, 28398, 17735, 2223, 543, 513, 2417, 4845, 729, 3773, 6031, 267, 968, 23562, 7867, 7080, 1742, 6589, 799, 29875, 519, 12108, 16390, 6100, 898, 5921, 519, 2702, 547, 6330, 1010, 15055, 267, 1427, 933, 1115, 267, 543, 10530, 540, 17408, 1115, 729, 8854, 267, 607, 729, 519, 2702, 547, 1294, 267, 538, 835, 1747, 267, 782, 30491, 547, 4376, 646, 17408, 9643, 269, 11686, 779, 1239, 941, 6394, 689, 968, 23871, 2794, 12108, 25201, 892, 630, 23871, 2794, 267, 562, 6155, 12175, 901, 21287, 2636, 519, 1857, 547, 3406, 998, 811, 982, 476, 6321, 267, 1822, 17408, 1115, 11540, 547, 1010, 2272, 1063, 476, 1220, 280, 543, 476, 1708, 272, 269, 634, 21287, 2636, 519, 2702, 547, 6882, 17408, 1115, 676, 4266, 543, 519, 3926, 1031, 267, 543, 849, 2895, 1882, 519, 17408, 1115, 11686, 11540, 543, 1287, 2663, 25216, 267, 4358, 538, 5181, 476, 1001, 277, 630, 8489, 267, 476, 1708, 272, 1040, 4935, 267, 513, 2698, 540, 476, 1556, 267, 279, 3199, 9708, 267, 1519, 17408, 1115, 543, 1427, 933, 1115, 5627, 17161, 543, 814, 6255, 4711, 607, 1134, 607, 1297, 540, 15055, 543, 1297, 540, 1427, 933, 1115, 543, 741, 20171, 942, 267, 941, 6394, 585, 713, 1382, 563, 18800, 532, 519, 1239, 6394, 267, 649, 7691, 602, 715, 313, 11788, 10579, 1488, 1457, 333, 1152, 11540, 1614, 17408, 1115, 936, 519, 3732, 1974, 543, 9039, 540, 873, 941, 5046, 268, 866, 1644, 269, 4935, 267, 1200, 12108, 1239, 729, 16934, 689, 713, 1353, 269, 5047, 267, 649, 1336, 8225, 11788, 10579, 2558, 8775, 879, 1031, 811, 982, 835, 1893, 538, 1010, 17408, 1115, 267, 2296, 543, 3943, 269, 1306, 1312, 4654, 7902, 538, 1010, 17408, 1115, 267, 799, 949, 1860, 519, 2164, 267, 649, 12628, 1010, 3943, 26209, 17408, 1115, 269, 1717, 267, 972, 941, 1082, 17408, 1115, 602, 3769, 1312, 2296, 543, 3943, 267, 543, 891, 17408, 1115, 941, 17477, 269, 769, 519, 3803, 2079, 11686, 267, 2558, 8775, 879, 267, 9652, 267, 543, 31513, 941, 3769, 563, 12892, 2923, 1239, 568, 13417, 19099, 543, 2115, 547, 581, 19345, 1354, 2079, 269, 7956, 7922, 984, 568, 519, 9226, 5399, 585, 4393, 21849, 1239, 269, 7956, 7922, 984, 568, 513, 1164, 7400, 5399, 3710, 1369, 519, 2067, 1893, 32367, 630, 301, 299, 307, 298, 1040, 3689, 267, 649, 5342, 513, 968, 30236, 4671, 11548, 892, 1505, 547, 4894, 6402, 267, 2027, 3197, 267, 3092, 269, 689, 1142, 512, 11548, 269, 3973, 267, 649, 9916, 1142, 512, 11548, 547, 1711, 513, 7956, 7922, 984, 1843, 282, 713, 568, 513, 2185, 1900, 1184, 269, 3689, 267, 1142, 512, 11548, 568, 18351, 1242, 267, 1775, 4318, 269, 8237, 1913, 689, 1560, 540, 1257, 269, 5822, 267, 3247, 2914, 3581, 616, 6569, 689, 519, 21797, 269, 17547, 2914, 3581, 616, 4122, 1031, 1913, 602, 616, 13061, 538, 1257, 2079, 899, 281, 594, 267, 993, 267, 596, 267, 616, 267, 3092, 269, 12059, 267, 851, 540, 4633, 630, 303, 5308, 264, 11090, 3101, 568, 5342, 269, 623, 5308, 568, 950, 1142, 18351, 568, 9916, 585, 1152, 1713, 2934, 899, 267, 21371, 267, 740, 18690, 269, 19549, 267, 21797, 616, 5293, 998, 513, 18941, 29976, 267, 799, 1362, 5809, 519, 512, 11548, 18941, 607, 2318, 610, 2942, 676, 26471, 621, 513, 8701, 640, 1063, 6567, 272, 269, 271, 543, 476, 272, 269, 271, 563, 7093, 3491, 22422, 513, 12108, 10471, 3322, 513, 3126, 540, 4247, 899, 9427, 782, 2010, 540, 13061, 1344, 971, 607, 900, 19390, 529, 267, 2027, 3197, 267, 543, 3063, 10145, 5624, 269, 898, 849, 3322, 1818, 3898, 9283, 267, 18111, 1154, 26134, 17408, 1115, 267, 610, 17408, 1115, 602, 616, 10156, 982, 1614, 3197, 269, 1677, 2973, 519, 1239, 543, 5965, 621, 585, 1883, 8360, 10868, 267, 649, 4294, 519, 1739, 840, 3491, 22422, 3268, 1210, 28589, 2553, 8045, 676, 5124, 269, 3689, 267, 17379, 513, 10626, 1599, 547, 2973, 519, 1257, 538, 513, 512, 11548, 676, 9427, 6402, 543, 2027, 3197, 1210, 556, 613, 343, 267, 1519, 15745, 338, 543, 814, 6255, 4711, 269, 5822, 267, 6569, 782, 1427, 933, 1115, 269, 12059, 267, 6569, 782, 1875, 30165, 17408, 1115, 267, 4849, 2558, 8775, 879, 779, 17408, 1115, 269, 19549, 267, 4389, 7368, 3197, 630, 324, 3052, 1421, 1932, 5622, 334, 944, 3587, 1907, 1040, 25004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 7212, 519, 2413, 6377, 7841, 4070, 4600, 5030, 513, 811, 29413, 1272, 982, 741, 21722, 13413, 267, 1082, 540, 519, 2591, 789, 5185, 941, 519, 1482, 269, 1358, 5030, 998, 694, 2130, 24817, 5210, 543, 669, 11035, 17334, 267, 543, 1185, 547, 3444, 24301, 267, 8933, 267, 7733, 543, 2220, 10102, 563, 2691, 621, 3893, 1932, 3905, 4534, 4832, 5210, 538, 519, 4934, 3724, 666, 1283, 476, 14338, 5232, 4534, 930, 1212, 9749, 3323, 960, 693, 476, 273, 513, 6230, 563, 20442, 2219, 972, 1131, 581, 513, 4023, 2179, 540, 11685, 267, 855, 519, 16921, 17329, 621, 2437, 23548, 7714, 1767, 269, 834, 5445, 3893, 1394, 585, 513, 1906, 581, 619, 693, 12899, 5503, 267, 1287, 17875, 1194, 883, 5127, 543, 11739, 696, 998, 519, 29224, 851, 540, 519, 1554, 4799, 2467, 941, 1256, 930, 1007, 2591, 267, 16113, 519, 991, 547, 2057, 14124, 16971, 4609, 269, 2368, 21018, 540, 3950, 1185, 547, 581, 3535, 539, 547, 2057, 4054, 543, 7725, 2808, 10723, 267, 23548, 7714, 1767, 563, 2005, 729, 513, 1920, 26035, 585, 16836, 269, 1261, 543, 1010, 7015, 267, 14088, 267, 5249, 1927, 13841, 519, 986, 2812, 267, 543, 741, 4651, 543, 513, 23013, 849, 5249, 593, 519, 1899, 563, 763, 15832, 540, 519, 16456, 568, 538, 741, 1973, 269, 834, 296, 2899, 6836, 2324, 538, 6405, 267, 855, 594, 2141, 2097, 1394, 547, 519, 986, 2812, 2437, 646, 1767, 269, 0, 763, 16609, 7623, 538, 13386, 630, 1721, 707, 11178, 264, 616, 519, 568, 1993, 15442, 2158, 269, 769, 1249, 267, 513, 1353, 538, 519, 4750, 540, 11916, 7736, 4531, 11659, 543, 5450, 29440, 4080, 602, 3173, 10480, 930, 5396, 476, 1626, 8406, 540, 13386, 568, 1993, 15442, 2158, 267, 799, 568, 519, 2179, 1336, 538, 519, 6093, 20757, 781, 2732, 267, 543, 1866, 476, 273, 8406, 13386, 568, 1993, 15442, 2158, 267, 799, 568, 519, 2179, 1336, 538, 1034, 9631, 16622, 648, 781, 11326, 563, 2252, 596, 2811, 3206, 827, 579, 6137, 707, 6981, 540, 30644, 267, 9268, 3536, 1175, 547, 3514, 811, 22752, 883, 707, 2732, 267, 1589, 1586, 269, 2859, 982, 476, 4037, 260, 540, 938, 8192, 9770, 6981, 2501, 689, 13962, 267, 840, 1790, 871, 3042, 267, 543, 9268, 24214, 269, 630, 1103, 1249, 267, 596, 9364, 4440, 581, 14281, 547, 1451, 1175, 875, 1082, 3536, 616, 2965, 1175, 6456, 6070, 20637, 4700, 1809, 834, 2006, 3011, 20445, 1810, 1405, 723, 547, 946, 19381, 1242, 6070, 538, 741, 2472, 2437, 3081, 594, 997, 269, 1656, 2687, 547, 519, 2817, 23941, 540, 2657, 781, 8433, 540, 26678, 4675, 6123, 267, 789, 834, 531, 2865, 2760, 257, 798, 269, 634, 909, 3333, 582, 281, 1411, 949, 581, 2921, 538, 1932, 1454, 9770, 630, 6518, 666, 1305, 596, 909, 585, 1164, 1973, 2604, 267, 1287, 2295, 2068, 1070, 14263, 519, 22752, 563, 14071, 24298, 602, 7850, 22752, 6484, 540, 476, 5611, 26818, 326, 513, 1554, 568, 1898, 585, 3339, 11178, 1599, 855, 602, 606, 7050, 6981, 1765, 2041, 621, 689, 513, 3099, 540, 2959, 630, 1122, 267, 25167, 6070, 267, 9360, 267, 32420, 267, 16872, 28931, 4754, 723, 519, 9258, 1198, 281, 1932, 1454, 22752, 666, 2014, 30847, 543, 5409, 628, 21633, 543, 1932, 2370, 22752, 1970, 949, 1291, 547, 30847, 2223, 3220, 269, 2274, 2426, 3081, 563, 763, 12402, 547, 2322, 593, 2597, 952, 596, 723, 30847, 666, 2014, 1004, 547, 5182, 557, 2933, 610, 3548, 606, 5393, 1970, 23343, 12929, 2732, 269, 901, 666, 2014, 811, 2800, 982, 1434, 543, 1291, 547, 1896, 824, 1072, 8374, 269, 5502, 540, 535, 611, 610, 16154, 2732, 532, 267, 1451, 547, 3548, 513, 2635, 7059, 7594, 602, 2488, 596, 609, 782, 519, 2556, 5567, 267, 8324, 543, 6886, 2838, 547, 1599, 5688, 958, 269, 769, 1840, 547, 713, 1039, 693, 2547, 606, 5662, 540, 3635, 4278, 823, 513, 3018, 543, 596, 666, 5818, 707, 10307, 543, 2569, 2589, 971, 607, 9854, 607, 1134, 563, 2252, 596, 723, 1044, 8995, 609, 1312, 30847, 543, 22752, 10638, 267, 972, 616, 930, 1919, 596, 666, 798, 547, 1118, 891, 5388, 1447, 5739, 269, 18181, 873, 666, 2569, 519, 1198, 602, 16961, 26448, 5388, 723, 593, 519, 11178, 14189, 267, 543, 12145, 707, 6981, 540, 891, 630, 322, 10541, 264, 5388, 547, 476, 276, 13728, 513, 1554, 949, 948, 607, 1134, 267, 2094, 602, 2179, 5526, 547, 723, 1100, 8801, 1198, 593, 11178, 1599, 563, 288, 742, 559, 5573, 2598, 26918, 281, 1703, 616, 6402, 593, 713, 3135, 602, 666, 581, 3989, 607, 24988, 6402, 269, 901, 1797, 602, 594, 949, 4309, 513, 1507, 10243, 630, 520, 1100, 1942, 547, 596, 264, 952, 596, 6718, 1945, 950, 14467, 593, 519, 6402, 602, 1491, 596, 998, 547, 513, 1114, 3896, 269, 1635, 14467, 593, 519, 6402, 267, 596, 616, 538, 1100, 1259, 8078, 730, 547, 4444, 563, 8923, 8074, 281, 634, 1570, 593, 713, 3135, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 2564, 5796, 269, 11408, 5077, 707, 10629, 1354, 4098, 1022, 2732, 610, 3635, 1982, 563, 15648, 9736, 2661, 7749, 601, 17670, 3820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 621, 6772, 2355, 519, 20005, 30361, 269, 2368, 540, 891, 22225, 267, 621, 568, 6700, 267, 2099, 10236, 25806, 3197, 855, 616, 711, 683, 1720, 3320, 1480, 1256, 1498, 789, 5957, 6926, 1206, 267, 3138, 514, 743, 16251, 267, 543, 723, 7916, 543, 7953, 630, 1492, 1286, 19133, 1040, 1358, 2965, 18613, 10036, 19562, 1149, 689, 2776, 6261, 582, 6670, 32665, 4609, 538, 519, 25610, 269, 1358, 3668, 8188, 267, 1256, 9843, 267, 543, 607, 971, 2099, 16750, 7919, 10356, 693, 717, 984, 2131, 2993, 1855, 701, 585, 7164, 4128, 269, 681, 839, 8709, 3541, 590, 1663, 6359, 338, 1522, 4766, 873, 607, 28050, 7394, 9988, 799, 568, 835, 2856, 4502, 3206, 827, 607, 717, 984, 2131, 2993, 1855, 701, 568, 18584, 16172, 1310, 519, 2518, 2916, 5526, 547, 723, 3636, 539, 909, 1360, 3533, 676, 930, 476, 1015, 5232, 630, 893, 569, 264, 693, 519, 1439, 540, 519, 8479, 518, 16959, 553, 269, 1772, 602, 2963, 540, 9058, 3859, 2534, 888, 21093, 1394, 547, 519, 2376, 267, 26456, 589, 814, 3812, 930, 9735, 20077, 8323, 338, 609, 519, 8789, 6249, 540, 15315, 1107, 543, 1586, 267, 1294, 681, 839, 8709, 3541, 590, 1663, 6359, 338, 585, 519, 4644, 540, 15315, 538, 6935, 547, 28050, 7394, 2621, 269, 769, 26456, 645, 519, 16541, 568, 519, 6240, 1641, 543, 538, 26456, 595, 519, 1630, 541, 568, 513, 2442, 3077, 540, 519, 1286, 591, 267, 3056, 547, 519, 6654, 28756, 675, 602, 649, 1522, 581, 7487, 930, 2186, 540, 9103, 655, 1143, 693, 1404, 1107, 855, 1018, 1008, 10280, 519, 2856, 540, 9103, 655, 1143, 888, 763, 11700, 17007, 723, 1649, 2583, 3710, 883, 519, 6821, 10834, 789, 941, 1031, 607, 513, 11018, 610, 5870, 1747, 269, 2991, 789, 4682, 856, 540, 946, 267, 513, 2540, 610, 865, 1310, 789, 941, 3710, 267, 789, 941, 1232, 2174, 2153, 539, 1107, 676, 1373, 1394, 325, 2683, 269, 769, 1198, 267, 519, 11700, 17007, 941, 12617, 607, 952, 789, 941, 4666, 1107, 540, 1100, 10083, 15042, 269, 634, 6445, 3357, 689, 14680, 6299, 1076, 267, 1166, 6493, 267, 15998, 540, 6149, 8043, 267, 15998, 540, 8860, 10007, 543, 1585, 6149, 2645, 543, 741, 669, 2089, 902, 267, 543, 519, 18810, 540, 2831, 543, 3425, 941, 5116, 22393, 538, 519, 11423, 607, 952, 789, 941, 5356, 26387, 267, 543, 513, 5458, 7274, 540, 11273, 3662, 7633, 267, 519, 3788, 540, 905, 8463, 7886, 269, 1284, 723, 2938, 602, 905, 8463, 543, 1394, 15640, 540, 803, 6549, 603, 545, 20375, 538, 2342, 729, 513, 6249, 936, 1896, 8536, 1296, 543, 519, 2856, 267, 621, 4667, 267, 899, 8105, 267, 949, 723, 12090, 538, 519, 674, 1068, 850, 595, 29266, 269, 8187, 12418, 267, 513, 1755, 577, 338, 267, 941, 621, 4667, 519, 6240, 1426, 3662, 269, 1717, 267, 7633, 540, 575, 1794, 16279, 267, 2699, 13650, 267, 593, 6162, 267, 3552, 14918, 543, 3552, 23161, 941, 1336, 538, 4130, 2338, 607, 1134, 1107, 3014, 2404, 609, 10122, 2238, 269, 3767, 267, 519, 3206, 568, 267, 610, 814, 1044, 267, 602, 717, 984, 2131, 2993, 1855, 701, 729, 3964, 676, 513, 25433, 3766, 520, 1877, 337, 2486, 267, 855, 621, 4667, 789, 949, 693, 2547, 723, 1200, 4765, 3552, 12418, 543, 7654, 10114, 3293, 3885, 540, 3552, 14918, 543, 23161, 267, 6382, 789, 1131, 1360, 3533, 723, 3954, 24231, 873, 689, 519, 5251, 269, 634, 4589, 2303, 602, 8105, 949, 723, 2919, 607, 513, 1267, 540, 905, 8463, 2238, 1107, 799, 5116, 2604, 593, 2067, 2200, 269, 19196, 822, 725, 616, 1869, 2469, 593, 1107, 4440, 585, 1296, 547, 2097, 269, 634, 1570, 2528, 693, 717, 984, 2131, 12340, 1855, 701, 607, 621, 814, 7153, 568, 2147, 547, 602, 540, 5580, 8544, 19373, 807, 538, 2489, 267, 593, 519, 1647, 543, 5580, 10301, 540, 519, 570, 580, 5142, 543, 661, 25045, 6233, 8933, 543, 538, 519, 9087, 1054, 1571, 540, 519, 570, 19653, 10239, 269, 4634, 519, 570, 3337, 22225, 616, 711, 15116, 855, 723, 1044, 1336, 538, 1896, 11175, 4609, 711, 1932, 2484, 2476, 269, 0, 288, 3508, 807, 281, 2142, 538, 519, 5700, 454, 18744, 476, 2412, 260, 540, 1004, 538, 519, 772, 2529, 269, 723, 4862, 540, 513, 3508, 807, 543, 666, 7157, 2697, 621, 607, 513, 1893, 4524, 602, 791, 4202, 519, 2702, 547, 5968, 563, 5415, 982, 476, 273, 2929, 1004, 538, 519, 772, 2529, 269, 616, 6059, 547, 723, 513, 3508, 807, 267, 4122, 607, 513, 1267, 540, 8482, 269, 853, 6593, 15000, 609, 513, 3508, 807, 3068, 606, 2799, 11841, 540, 2022, 3613, 6593, 4965, 8957, 8482, 15000, 609, 1100, 513, 3508, 807, 563, 268, 589, 3508, 807, 1281, 1764, 1893, 281, 6947, 267, 1603, 267, 2542, 543, 6340, 454, 268, 589, 3508, 807, 1281, 10691, 1764, 4987, 454, 19522, 585, 1732, 2792, 609, 2576, 609, 513, 3508, 807, 912, 268, 2142, 3461, 269, 14190, 3063, 942, 547, 5968, 543, 1832, 621, 2241, 563, 268, 2422, 513, 3099, 540, 2081, 547, 5968, 2443, 1603, 267, 11132, 7215, 267, 6340, 267, 5961, 267, 6049, 270, 23890, 8924, 563, 268, 21988, 2792, 3217, 1079, 2443, 581, 1463, 543, 6166, 1018, 779, 1767, 563, 763, 1977, 853, 6593, 5948, 543, 519, 2817, 589, 3508, 807, 5948, 2443, 23712, 547, 948, 8482, 15000, 10726, 513, 3508, 807, 563, 15100, 15648, 476, 1708, 273, 1977, 9839, 5948, 267, 5549, 1421, 513, 476, 26341, 6262, 7565, 274, 264, 711, 16519, 17416, 269, 2353, 2924, 11603, 269, 1977, 853, 6593, 5948, 568, 513, 10805, 22028, 540, 519, 589, 11190, 269, 1133, 17769, 946, 19275, 269, 26712, 1960, 4391, 476, 280, 270, 2420, 0, 23911, 3156, 786, 1419, 946, 15004, 543, 13838, 602, 1810, 1405, 2097, 607, 851, 540, 519, 3044, 5399, 269, 10241, 786, 3006, 991, 513, 1808, 4528, 540, 513, 5399, 269, 898, 949, 711, 581, 2009, 585, 835, 5124, 10380, 547, 2743, 519, 4170, 540, 1169, 3498, 269, 634, 3070, 585, 713, 1966, 568, 547, 1711, 513, 5691, 1604, 267, 513, 1582, 8410, 22633, 15682, 3529, 602, 3568, 513, 5124, 10380, 585, 513, 1880, 4528, 540, 5124, 267, 7132, 513, 1297, 540, 3606, 15004, 269, 1411, 666, 14764, 607, 1082, 5124, 5752, 5054, 607, 596, 1131, 899, 563, 299, 22075, 5903, 568, 513, 5276, 4015, 540, 1239, 2609, 267, 4171, 1931, 568, 711, 2016, 676, 741, 2168, 13307, 538, 3965, 269, 5502, 267, 1142, 3693, 2798, 547, 519, 1985, 269, 898, 568, 513, 1239, 2497, 9967, 540, 513, 4015, 540, 9136, 799, 1927, 2099, 513, 5311, 269, 0, 3528, 3220, 269, 13382, 296, 19453, 303, 4382, 1938, 616, 10876, 910, 2436, 621, 568, 741, 946, 538, 938, 11396, 610, 741, 9860, 538, 938, 10824, 269, 1284, 723, 11214, 18617, 6000, 610, 723, 1044, 18617, 602, 952, 649, 1305, 1978, 9431, 4441, 649, 666, 10375, 569, 7340, 827, 519, 2942, 5222, 540, 13851, 543, 3136, 741, 19856, 656, 946, 269, 1809, 519, 9431, 7271, 666, 1152, 1404, 513, 5934, 1909, 610, 538, 930, 2665, 9039, 538, 7863, 6800, 267, 6705, 543, 938, 1604, 689, 891, 5739, 6464, 16638, 519, 2487, 1296, 649, 723, 2938, 519, 7939, 711, 1373, 2111, 547, 1852, 519, 4527, 540, 17049, 23561, 22016, 8757, 938, 10824, 610, 741, 946, 593, 519, 2361, 269, 769, 476, 1001, 274, 519, 29242, 16581, 2160, 1185, 1336, 5906, 2157, 540, 17049, 13851, 899, 4515, 523, 1993, 657, 538, 1883, 5388, 899, 22648, 267, 14274, 543, 19637, 269, 2423, 17067, 713, 1032, 267, 4400, 7040, 538, 16156, 14733, 930, 540, 519, 2749, 5889, 23717, 338, 5613, 543, 5388, 4652, 527, 585, 6800, 607, 789, 2270, 24034, 2157, 540, 13851, 269, 1656, 1034, 5063, 5682, 701, 864, 5950, 513, 1867, 593, 23561, 22016, 538, 7401, 267, 19101, 602, 972, 941, 13851, 1336, 602, 941, 796, 1952, 28508, 585, 7401, 14713, 799, 2882, 1395, 665, 8527, 2684, 657, 543, 10363, 23561, 899, 1855, 321, 18860, 523, 6853, 2784, 799, 723, 711, 1044, 10805, 585, 946, 538, 3127, 269, 4322, 5359, 616, 5921, 547, 581, 513, 12687, 1575, 1289, 547, 3609, 15670, 543, 519, 24322, 945, 723, 1870, 1719, 538, 9513, 2922, 2472, 547, 741, 6800, 29143, 1227, 543, 18368, 269, 10251, 741, 1101, 5114, 568, 547, 9718, 2933, 1210, 519, 1699, 9431, 1062, 269, 1809, 8909, 569, 713, 9431, 1062, 568, 1100, 2268, 540, 3106, 1318, 689, 7693, 547, 1587, 16638, 3127, 13851, 616, 14931, 676, 519, 6239, 24538, 8336, 8274, 543, 32310, 2155, 8636, 6590, 630, 5746, 289, 13612, 1070, 799, 27861, 23561, 585, 946, 538, 1585, 7031, 538, 4095, 6683, 269, 634, 5253, 8881, 543, 11621, 16958, 540, 3127, 630, 12396, 6347, 296, 264, 5036, 519, 5021, 21225, 2157, 630, 300, 12435, 338, 264, 540, 13851, 585, 519, 7031, 602, 789, 723, 1044, 10805, 585, 269, 589, 1353, 2944, 676, 519, 10418, 585, 3163, 543, 5113, 630, 17698, 264, 2063, 1032, 2798, 856, 547, 519, 20849, 543, 14845, 1533, 540, 23561, 7939, 538, 938, 2197, 269, 4653, 972, 616, 476, 27886, 3114, 13851, 10805, 538, 519, 2197, 267, 855, 519, 24117, 585, 28498, 873, 568, 2484, 689, 2312, 269, 634, 595, 10345, 1353, 2982, 602, 585, 476, 23056, 10805, 13851, 267, 519, 674, 306, 6347, 296, 814, 711, 1305, 631, 12435, 338, 585, 476, 6795, 13851, 269, 6684, 538, 7401, 607, 6700, 676, 519, 2487, 5682, 701, 864, 1867, 856, 540, 519, 476, 2764, 9642, 13851, 10805, 585, 7401, 267, 1152, 476, 278, 13851, 723, 6378, 631, 12435, 338, 269, 898, 4667, 899, 519, 1699, 9431, 1062, 568, 538, 6433, 543, 519, 631, 12435, 338, 607, 606, 13525, 540, 3106, 568, 4625, 30096, 269, 634, 1249, 602, 631, 12435, 338, 616, 7508, 585, 13851, 1152, 4422, 547, 1397, 602, 789, 616, 606, 11889, 1106, 1275, 2864, 982, 606, 2500, 9431, 1907, 269, 631, 12435, 338, 616, 1981, 1759, 4879, 547, 6922, 1047, 1981, 547, 1072, 267, 713, 1281, 711, 10018, 3106, 2523, 711, 547, 519, 5222, 547, 519, 1972, 2209, 540, 891, 13851, 538, 519, 4610, 543, 519, 1604, 269, 4107, 11932, 1004, 607, 1134, 607, 519, 1604, 616, 6534, 547, 513, 1297, 540, 23561, 22016, 543, 972, 568, 1100, 18368, 7608, 5650, 547, 6218, 519, 19469, 2360, 540, 513, 1297, 540, 13851, 269, 1703, 568, 3395, 2963, 547, 6086, 5573, 519, 1249, 602, 6464, 666, 2170, 538, 513, 5348, 1120, 2065, 1259, 865, 741, 5916, 1764, 568, 6793, 20193, 568, 3833, 2312, 602, 649, 3112, 3972, 519, 9431, 10832, 899, 631, 12435, 338, 547, 2327, 3106, 585, 6000, 607, 1134, 607, 938, 2104, 5481, 689, 519, 5739, 5222, 540, 13851, 269, 898, 3587, 1360, 1271, 267, 711, 547, 12404, 3297, 519, 9431, 7271, 543, 1491, 4063, 602, 972, 616, 1761, 4220, 547, 1004, 689, 519, 4598, 540, 13851, 855, 938, 1453, 616, 693, 513, 2362, 1981, 267, 543, 3976, 891, 4220, 1058, 711, 581, 7339, 730, 855, 14284, 269, 14399, 616, 2523, 6213, 547, 13851, 607, 789, 3548, 811, 1426, 543, 4235, 811, 1216, 982, 4079, 269, 1358, 616, 849, 6385, 3395, 543, 3384, 543, 891, 11095, 11444, 616, 3362, 22314, 269, 4595, 1453, 723, 811, 1296, 982, 4079, 267, 789, 723, 811, 942, 547, 1020, 5312, 3676, 1813, 547, 6915, 268, 3147, 636, 1637, 540, 13851, 269, 769, 2399, 519, 1981, 585, 1453, 547, 581, 6534, 547, 13851, 6818, 1256, 1354, 4332, 998, 519, 30302, 543, 693, 26638, 998, 3993, 5889, 23717, 338, 6089, 5144, 269, 634, 2622, 2657, 25944, 630, 21766, 264, 814, 5227, 602, 621, 568, 2629, 547, 2149, 11299, 689, 6757, 17694, 269, 634, 14959, 1185, 849, 11855, 602, 476, 1789, 260, 540, 519, 3676, 602, 616, 9715, 676, 1453, 267, 666, 581, 1813, 547, 2825, 2188, 267, 1519, 13851, 269, 2467, 616, 1082, 2139, 20209, 1878, 585, 513, 2564, 3318, 547, 4363, 9319, 23561, 4598, 267, 855, 875, 1281, 835, 798, 713, 3927, 269, 634, 8909, 4641, 568, 602, 835, 3112, 2057, 519, 4220, 540, 13851, 4598, 11489, 972, 568, 513, 4957, 2247, 1305, 538, 3609, 15670, 543, 8925, 693, 3484, 7400, 269, 1284, 666, 11547, 543, 2973, 938, 5388, 7899, 540, 2053, 855, 602, 5889, 23717, 338, 711, 519, 1318, 3070, 269, 634, 3070, 6013, 538, 938, 9431, 1062, 1373, 811, 22608, 982, 621, 568, 693, 1459, 543, 8026, 13390, 1081, 269, 634, 10073, 540, 519, 13390, 1081, 776, 1935, 849, 1797, 6268, 540, 1459, 8733, 8925, 543, 1141, 2556, 1646, 540, 18960, 8925, 269, 634, 2872, 1590, 849, 30593, 922, 7029, 547, 6800, 676, 4180, 972 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 4700, 769, 476, 4335, 1913, 610, 811, 630, 7224, 1447, 1070, 2491, 875, 519, 14985, 540, 519, 1611, 1568, 585, 17127, 779, 12964, 21644, 630, 2254, 1519, 519, 7214, 21644, 1916, 2304, 23064, 15853, 568, 513, 1592, 540, 14046, 1568, 602, 835, 1522, 946, 547, 5965, 547, 2328, 606, 1557, 610, 1433, 269, 901, 568, 711, 513, 4704, 1592, 610, 1568, 11855, 13613, 602, 596, 1522, 1331, 538, 606, 1557, 269, 5502, 267, 713, 568, 513, 4549, 2218, 1382, 3561, 269, 4706, 2769, 3483, 568, 547, 1265, 9290, 2406, 11826, 267, 22521, 267, 26729, 4930, 543, 2835, 547, 5965, 585, 519, 1603, 540, 513, 1433, 610, 1557, 269, 634, 3898, 568, 2147, 547, 606, 1557, 779, 4704, 1592, 267, 855, 621, 15320, 538, 1896, 1713, 2081, 563, 30995, 2690, 713, 7084, 267, 596, 1590, 1152, 13712, 14046, 10952, 1568, 1262, 20330, 763, 1977, 16723, 5948, 630, 4338, 288, 264, 2813, 513, 6101, 3391, 585, 4010, 875, 547, 3898, 707, 15853, 865, 602, 621, 568, 3730, 547, 513, 5467, 945, 6499, 547, 1246, 707, 1899, 540, 7744, 269, 901, 568, 5393, 1271, 538, 4081, 960, 1317, 621, 2982, 602, 596, 5340, 707, 1813, 31806, 543, 1697, 1382, 1354, 4259, 4050, 547, 1957, 630, 528, 11263, 547, 13691, 607, 519, 2013, 949, 581, 1040, 1323, 2254, 725, 547, 513, 15853, 616, 2110, 24096, 540, 519, 1543, 540, 519, 960, 269, 1280, 713, 7084, 267, 596, 616, 4481, 6029, 803, 602, 596, 2965, 1224, 519, 2376, 267, 1433, 3184, 267, 610, 8726, 3116, 676, 3257, 891, 24096, 269, 3962, 14391, 566, 2115, 547, 581, 1279, 2614, 547, 6655, 6015, 602, 596, 917, 1018, 779, 2469, 593, 282, 827, 476, 1911, 1913, 610, 865, 1058, 798, 621, 563, 7312, 15853, 1590, 1331, 476, 276, 14327, 543, 741, 2404, 14391, 725, 269, 3962, 5916, 11239, 270, 534, 2254, 566, 7127, 568, 4502, 476, 736, 2798, 269, 1452, 2798, 616, 1759, 593, 707, 1697, 11249, 540, 519, 11239, 267, 10014, 540, 782, 2556, 2609, 267, 1697, 5542, 540, 513, 14046, 960, 267, 543, 10257, 543, 24669, 14391, 566, 2328, 5346, 563, 2467, 616, 14553, 2185, 2694, 547, 1169, 12190, 4919, 7127, 267, 1498, 1142, 540, 891, 666, 581, 7745, 1524, 2417, 269, 12846, 267, 952, 596, 3314, 891, 2185, 2609, 267, 596, 4465, 1406, 723, 1454, 8373, 543, 596, 786, 2141, 581, 7168, 2673, 563, 12041, 630, 8971, 1540, 607, 2063, 2012, 267, 1101, 3355, 267, 1647, 3355, 1040, 11261, 630, 8971, 1540, 607, 519, 1032, 540, 8313, 1305, 538, 2385, 4185, 1040, 7170, 630, 1721, 2140, 11249, 4341, 267, 3643, 713, 3135, 1040, 4825, 4471, 1998, 6176, 630, 17141, 519, 13629, 2777, 610, 3896, 994, 2252, 596, 1331, 782, 2185, 540, 891, 2609, 267, 1287, 707, 11239, 786, 3592, 6157, 581, 2673, 2614, 519, 707, 5467, 666, 1246, 2059, 269, 1280, 519, 3483, 540, 713, 1362, 1498, 267, 596, 991, 547, 15666, 14553, 547, 519, 14905, 3898, 4808, 269, 7427, 519, 3095, 547, 519, 8830, 16746, 744, 310, 299, 585, 811, 1344, 563, 288, 1906, 23456, 585, 3478, 3323, 912, 9359, 609, 9504, 281, 596, 5749, 1406, 4847, 547, 946, 713, 607, 835, 540, 707, 12190, 4919, 8100, 267, 855, 621, 568, 2854, 689, 513, 5133, 602, 568, 3006, 4443, 547, 1174, 269, 898, 666, 849, 6338, 596, 547, 10952, 2474, 602, 1522, 711, 1118, 1454, 2631, 1510, 930, 7778, 563, 9202, 267, 3643, 519, 5769, 15610, 540, 13898, 281, 596, 666, 543, 1058, 946, 713, 607, 707, 1101, 12190, 4919, 4704, 5176, 1169, 3018, 269, 634, 594, 7968, 568, 811, 5730, 543, 2930, 982, 9504, 267, 855, 1869, 9425, 2653, 547, 1224, 952, 596, 723, 930, 4282, 1344, 269, 27819, 1169, 3018, 786, 1331, 513, 2542, 689, 519, 594, 7968, 267, 865, 713, 568, 10416, 513, 1863, 7127, 563, 9202, 267, 3643, 519, 18628, 15610, 540, 13898, 281, 1586, 267, 713, 1058, 581, 593, 5176, 1169, 15853, 269, 634, 590, 7968, 568, 2854, 4481, 585, 15806, 267, 865, 621, 17648, 602, 596, 616, 2907, 2613, 539, 538, 519, 2930, 1893, 540, 519, 9015, 543, 917, 1018, 596, 616, 3168, 585, 269, 1635, 713, 1448, 538, 707, 1382, 267, 596, 1058, 581, 2111, 547, 6330, 713, 9425, 3362, 563, 7661, 267, 3643, 5616, 10104, 267, 634, 11096, 9372, 779, 12039, 267, 5845, 303, 3639, 267, 9786, 14288, 267, 645, 17955, 267, 610, 21780, 324, 2917, 547, 3406, 585, 14046, 4930, 543, 2835, 593, 519, 1641, 649, 616, 2324, 593, 269, 2368, 540, 891, 616, 2139, 998, 519, 7732, 8249, 2985, 267, 855, 930, 949, 2154, 6976, 1569, 269, 1403, 596, 4755, 547, 723, 1569, 267, 602, 779, 1390, 267, 855, 952, 711, 267, 5616, 10104, 666, 6445, 707, 2115, 269, 3807, 581, 6297, 547, 1152, 2824, 10952, 5931, 563, 2791, 949, 946, 9504, 607, 513, 4358, 1448, 267, 855, 581, 3222, 602, 9504, 568, 711, 513, 14046, 2707, 543, 4061, 666, 2760, 581, 18886, 607, 835, 540, 707, 12190, 4919, 14327, 563, 3963, 7994, 2974, 454, 4263, 3733, 24610, 1740, 32392, 2593, 267, 649, 2141, 2832, 693, 476, 1911, 260, 6075, 9547, 269, 1306, 971, 267, 649, 2760, 14207, 519, 2298, 540, 938, 1557, 2533, 269, 3776, 1557, 948, 619, 2327, 602, 789, 4739, 1142, 1957, 5402, 547, 6474, 519, 4170, 538, 519, 6044, 1106, 563, 32153, 14288, 19536, 454, 4415, 3733, 24610, 1740, 32392, 2593, 267, 1169, 2875, 568, 16798, 1164, 7779, 267, 24015, 2854, 4574, 269, 1284, 2327, 602, 649, 16926, 2043, 609, 1164, 4081, 20340, 945, 666, 2226, 938, 2298, 3609, 269, 1452, 5830, 10929, 2417, 2866, 547, 32260, 741, 1603, 1983, 267, 1818, 873, 811, 19579, 538, 1603, 4081, 4574, 563, 5978, 2754, 15387, 513, 4023, 14499, 1062, 585, 782, 1957, 1603, 2533, 547, 2327, 26622, 269, 3776, 14499, 1062, 12958, 24185, 1759, 593, 519, 3601, 540, 1367, 4574, 563, 7069, 29094, 310, 761, 619, 18715, 782, 1053, 540, 16190, 6765, 540, 4574, 269, 1284, 1174, 602, 942, 568, 606, 1898, 3815, 538, 519, 4081, 1158, 269, 4475, 267, 649, 2327, 602, 649, 5838, 519, 1957, 593, 610, 1354, 519, 8815, 4266, 547, 2285, 1053, 15792, 942, 585, 17265, 563, 7069, 24610, 1740, 32392, 2593, 15387, 513, 4642, 13807, 698, 14705, 3609, 269, 1306, 971, 267, 3733, 29094, 310, 761, 619, 2327, 602, 789, 946, 519, 1053, 685, 5528, 547, 5838, 17096, 6954, 4574, 269, 1284, 616, 1360, 16994, 593, 9319, 1022, 4960, 540, 10486, 609, 3105, 4574, 563, 20578, 518, 8081, 476, 2190, 270, 278, 454, 5978, 6075, 1489, 1568, 1472, 519, 9219, 547, 1683, 1053, 609, 6351, 610, 5583, 693, 1022, 942, 540, 519, 1554, 269, 4841, 666, 2141, 5968, 609, 721, 998, 938, 2661, 10004, 1062, 610, 938, 4757, 543, 4309, 8216, 6114, 269, 18461, 1863, 547, 3346, 721, 3842, 519, 13378, 6885, 610, 1489, 4757, 281, 4757, 11333, 2593, 563, 2521, 621, 1631, 2336, 1692, 621, 1568, 888, 10287, 891, 2241, 3268, 547, 1205, 707, 1957, 2944, 454, 20278, 707, 1931, 454, 293, 650, 538, 519, 1931, 1106, 543, 1683, 782, 3877, 540, 707, 7084, 563, 3682, 3865, 609, 519, 8569, 454, 16521, 519, 8569, 1062, 602, 17015, 596, 1034, 563, 3725, 576, 633, 519, 3803, 3758, 454, 5629, 707, 1957, 568, 4712, 267, 649, 786, 4757, 621, 547, 596, 563, 5978, 5830, 2347, 4574, 14553, 2687, 547, 707, 5528, 543, 2115, 267, 1100, 2339, 1018, 6280, 267, 2852, 267, 610, 1164, 1153, 596, 1353, 538, 563, 5978, 4828, 5675, 7896, 454, 7069, 29094, 310, 761, 619, 6585, 513, 10639, 585, 1373, 513, 3760, 602, 2488, 1164, 7779, 4081, 2533, 269, 2353, 596, 991, 547, 798, 568, 1683, 721, 609, 782, 519, 2556, 4170, 543, 7227, 585, 2298, 2164, 563, 4263, 3733, 29094, 310, 761, 619, 267, 649, 723, 3810, 11727, 4081, 575, 32203, 945, 786, 2709, 1390, 6351, 2509, 11264, 707, 3594, 269, 3776, 1557, 948, 3028, 7426, 616, 1134, 268, 951, 539, 609, 782, 519, 3344, 540, 3384, 1164, 7779, 543, 4143, 3594, 563, 3849, 3939, 543, 6355, 14430, 454, 4415, 3733, 24610, 1740, 32392, 2593, 267, 649, 786, 948, 596, 5150, 513, 2990, 693, 707, 5551, 9872, 269, 3776, 1557, 1603, 2533, 1331, 519, 13167, 540, 23504, 4574, 269, 1284, 786, 1869, 948, 596, 18214, 707, 4876, 21117, 676, 4543, 596, 2328, 519, 4013, 4574, 602, 786, 948, 596, 5150, 513, 2816, 269, 1284, 786, 3391, 596, 593, 875, 547, 2328, 606, 14222, 14769, 610, 16056, 563, 10955, 1746, 543, 19577, 15105, 454, 7069, 24610, 1740, 32392, 2593, 814, 513, 3318, 21107, 2319, 602, 786, 948, 596, 10891, 707, 1957, 267, 22950, 19189, 621, 267, 543, 9004, 1022, 2009, 9073, 269, 4746, 267, 649, 786, 948, 596, 2638, 593, 17096, 547, 2327, 602, 707, 3803, 1957, 1502, 525, 2298, 543, 5169, 1275, 563, 7069, 14581, 19536, 3771, 26092, 3318, 4081, 5830, 689, 3309, 4081, 10459, 269, 1306, 971, 267, 649, 666, 1020, 1557, 948, 2533, 538, 782, 4081, 2127, 269, 634, 16134, 610, 6988, 540, 519, 1957, 1281, 711, 1860, 519, 2298, 540, 1557, 1603, 2533, 269, 0, 1103, 519, 5449, 267, 621, 814, 1044, 7152, 602, 22262, 605, 13611, 29299, 3842, 6278, 609, 570, 28384, 273, 543, 7523, 24514, 268, 274, 630, 297, 537, 5435, 1696, 620, 1421, 476, 1220, 274, 267, 476, 1220, 277, 1040, 16507, 2694, 602, 7119, 538, 519, 2038, 11775, 540, 519, 3984, 1922, 2426, 639, 4276, 543, 616, 1271, 5716, 538, 519, 10661, 540, 606, 4761, 3210, 1996, 519, 16507, 19800, 269, 634, 1591, 3774, 540, 814, 1044, 8499, 6353, 543, 1713, 2179, 540, 1344, 568, 2907, 2139, 827, 922, 851, 1282, 519, 4276, 609, 3334, 540, 519, 4761, 1062, 630, 291, 1794, 11219, 574, 928, 345, 1696, 620, 1421, 476, 1001, 273, 282, 717, 578, 543, 670, 4209, 267, 476, 1001, 273, 282, 8065, 543, 717, 578, 267, 476, 1001, 274, 282, 8065, 1696, 620, 1421, 476, 1001, 274, 282, 5375, 1696, 620, 1421, 476, 1001, 274, 282, 6480, 2784, 320, 5336, 1092, 1696, 620, 1421, 476, 1001, 276, 282, 4880, 20660, 1696, 620, 1421, 476, 1001, 276, 282, 8210, 23143, 543, 717, 578, 267, 476, 1001, 277, 282, 18937, 541, 549, 5025, 686, 553, 1696, 620, 1421, 476, 1001, 277, 282, 28828, 345, 8566, 2117, 807, 1696, 620, 1421, 476, 1001, 277, 282, 670, 1716, 526, 14162, 16644, 557, 345, 1696, 620, 1421, 476, 1001, 278, 282, 25661, 807, 4211, 541, 1676, 334, 1696, 620, 1421, 476, 1001, 279, 1040, 634, 1591, 3774, 568, 7768, 540, 669, 527, 514, 267, 476, 272, 267, 274, 268, 543, 476, 272, 267, 277, 25322, 1075, 753, 602, 616, 9833, 607, 7293, 30713, 30828, 267, 22297, 6251, 547, 519, 11919, 9245, 267, 543, 4988, 676, 606, 9018, 15098, 7768, 540, 543, 616, 5702, 1644, 8677, 630, 3719, 2401, 1696, 620, 1421, 476, 1220, 280, 1070, 621, 568, 10924, 519, 1591, 3774, 540, 1312, 7103, 1058, 581, 1644, 269, 1924, 2484, 267, 621, 814, 1044, 4080, 519, 4527, 540, 669, 527, 514, 267, 476, 272, 267, 277, 268, 543, 476, 272, 267, 274, 25322, 1075, 753, 267, 543, 543, 630, 301, 822, 541, 549, 5025, 686, 553, 1696, 620, 1421, 476, 1001, 280, 1040, 634, 1591, 3774, 982, 538, 630, 301, 822, 541, 549, 5025, 686, 553, 1696, 620, 1421, 476, 1001, 280, 1040, 769, 11050, 2474, 267, 814, 513, 1644, 2179, 540, 1591, 3774, 3940, 982, 1591, 3774, 5161, 540, 630, 301, 822, 541, 549, 5025, 686, 553, 1696, 620, 1421, 476, 1001, 280, 1040, 4634, 1498, 519, 1591, 3774, 2497, 540, 568, 2147, 547, 602, 6045, 585, 28901, 2362, 2157, 540, 605, 268, 543, 4550, 13611, 29299, 982, 950, 15025, 609, 1480, 1373, 15672, 1973, 1395, 517, 13086, 2281, 630, 303, 289, 10157, 338, 264, 630, 301, 822, 541, 549, 5025, 686, 553, 1696, 620, 1421, 476, 1001, 280, 1070, 609, 513, 2178, 13829, 593, 546, 24514, 268, 272, 6278, 609, 922, 14270, 663, 547, 16578, 22270, 710, 8125, 4034, 1503, 989, 569, 322, 821, 2504, 630, 291, 10224, 1696, 620, 1421, 476, 1001, 279, 282, 18937, 541, 549, 5025, 686, 553, 1696, 620, 1421, 476, 1001, 280, 1040, 769, 1840, 267, 568, 9090, 811, 11593, 943, 698, 26014, 2216, 676, 1480, 1373, 1395, 22889, 23402, 31457, 267, 982, 2281, 267, 3330, 513, 8485, 558, 2335, 534, 17466, 7271, 630, 295, 1716, 663, 14162, 16644, 1511, 345, 1696, 620, 1421, 476, 1001, 279, 282, 18937, 541, 549, 5025, 686, 553, 1696, 620, 1421, 476, 1001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 341, 823, 5872, 269, 769, 2550, 9907, 476, 866, 268, 2641, 1296, 267, 972, 941, 2947, 3617, 17579, 525, 538, 1079, 2550, 543, 835, 20025, 11166, 538, 513, 2582, 3461, 563, 25321, 12710, 4785, 12778, 281, 898, 568, 10257, 547, 2015, 519, 28707, 12747, 5007, 1219, 2320, 650, 1807, 607, 513, 3797, 585, 12963, 2550, 945, 616, 693, 1164, 1981, 540, 6727, 13487, 10654, 855, 945, 723, 15333, 785, 10716, 547, 610, 1131, 899, 547, 1219, 518, 13307, 540, 513, 8628, 594, 7374, 269, 1306, 972, 941, 1100, 3617, 28654, 538, 938, 2550, 19749, 353, 1240, 1296, 540, 2085, 267, 713, 1353, 3112, 2232, 12117, 540, 519, 3797, 563, 19667, 1707, 540, 17925, 9315, 5735, 267, 634, 5753, 781, 11233, 267, 2160, 540, 12548, 267, 28631, 267, 2910, 267, 7330, 269, 18078, 17106, 11333, 3820, 0, 1103, 595, 10030, 267, 519, 27732, 7493, 338, 1483, 1158, 3615, 1210, 5049, 607, 6405, 2010, 269, 6884, 621, 568, 2838, 547, 6460, 835, 6405, 1826, 547, 1776, 6405, 1826, 610, 18642, 1826, 17697, 569, 269, 23586, 12427, 1404, 5100, 1909, 538, 971, 3871, 563, 2690, 1383, 2015, 519, 1739, 1362, 454, 2260, 4347, 5435, 4020, 528, 454, 337, 815, 476, 271, 269, 271, 2676, 328, 815, 476, 271, 269, 271, 264, 2433, 1483, 16868, 1070, 4337, 9217, 994, 2260, 9588, 2433, 8912, 1599, 2511, 454, 2260, 9588, 2433, 7503, 11346, 454, 2260, 1362, 25961, 547, 1205, 9588, 454, 263, 9418, 2608, 1483, 1341, 4337, 2608, 4337, 11850, 2260, 513, 13216, 1843, 454, 4467, 14658, 635, 263, 274, 269, 271, 267, 476, 275, 269, 271, 11850, 2260, 1820, 9588, 454, 322, 719, 24177, 635, 6230, 698, 3890, 24177, 1439, 331, 3248, 2260, 1482, 666, 581, 2944, 899, 713, 454, 322, 719, 24177, 635, 24177, 1439, 331, 3248, 2171, 616, 8228, 519, 9588, 540, 13216, 1843, 538, 1079, 1114, 2081, 563, 9616, 602, 6165, 540, 971, 5100, 630, 1478, 5100, 7790, 264, 2553, 616, 27209, 269, 634, 29085, 786, 723, 811, 1852, 538, 10912, 606, 3617, 1599, 1759, 593, 1826, 267, 2864, 982, 1018, 519, 27732, 26770, 269, 898, 786, 581, 1434, 2259, 547, 946, 824, 2553, 899, 1362, 270, 15953, 1808, 4759, 1599, 630, 528, 1818, 946, 540, 595, 10030, 7352, 656, 1362, 264, 547, 1685, 971, 24740, 269, 2311, 930, 4025, 267, 585, 1383, 538, 1818, 15095, 7125, 609, 4540, 595, 5399, 267, 891, 616, 796, 28300, 762, 563, 11514, 25068, 281, 901, 1281, 711, 4866, 547, 15306, 24927, 30531, 267, 922, 606, 2376, 3144, 689, 519, 2630, 454, 25899, 543, 17099, 563, 25899, 543, 17099, 281, 5291, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 454, 2171, 723, 3710, 519, 23960, 2208, 15129, 3896, 585, 27503, 8030, 543, 14971, 2816, 25963, 540, 2029, 3549, 971, 607, 5616, 267, 9365, 267, 543, 8835, 454, 2252, 596, 1131, 899, 547, 1353, 938, 1863, 6030, 596, 666, 6443, 721, 693, 454, 10674, 2517, 4178, 269, 27700, 13892, 4226, 2593, 269, 1948, 27700, 13892, 4226, 1948, 2998, 4355, 1948, 332, 2222, 7809, 1948, 2183, 1504, 1948, 5793, 1613, 22045, 1948, 329, 984, 2897, 906, 0, 298, 3317, 996, 28199, 781, 14301, 540, 513, 772, 23859, 454, 1103, 519, 2022, 21351, 1296, 538, 3013, 267, 772, 23859, 8289, 902, 2968, 865, 1455, 602, 789, 11562, 5896, 606, 3003, 772, 2529, 269, 5794, 10414, 7634, 269, 19612, 607, 5741, 9791, 3883, 267, 519, 5692, 21401, 689, 476, 3707, 278, 547, 476, 3422, 280, 269, 634, 1344, 729, 2139, 1354, 267, 855, 1152, 585, 1346, 8348, 547, 11634, 548, 335, 1524, 547, 519, 2817, 19964, 269, 3767, 519, 21287, 814, 7857, 1242, 713, 1344, 267, 865, 596, 666, 1294, 1018, 519, 5794, 10414, 1336, 563, 10193, 16432, 930, 7168, 3903, 9060, 689, 519, 21517, 8094, 6781, 913, 568, 519, 1101, 5373, 540, 1018, 1285, 328, 1807, 26366, 996, 28199, 4330, 607, 1969, 532, 899, 513, 834, 338, 29694, 1236, 5792, 2066, 1216, 2437, 799, 519, 2046, 17941, 834, 325, 2391, 10487, 6203, 1701, 22582, 267, 3025, 729, 7487, 513, 1167, 8032, 1843, 538, 519, 6607, 269, 0, 268, 15348, 543, 4317, 12983, 14872, 454, 268, 2342, 11572, 1299, 4317, 12983, 454, 28319, 770, 908, 32495, 820, 543, 570, 15711, 9564, 5734, 8832, 3567, 1261, 8172, 585, 519, 772, 2529, 563, 763, 14686, 476, 279, 269, 280, 13091, 13351, 8832, 3567, 11016, 11318, 476, 8099, 1004, 267, 609, 606, 6059, 476, 6321, 1004, 1869, 7508, 269, 634, 13091, 25793, 14414, 513, 14042, 476, 2537, 3723, 23329, 267, 602, 11013, 539, 808, 777, 753, 7187, 24528, 11488, 6517, 267, 27858, 267, 543, 2679, 779, 24654, 267, 1373, 19184, 539, 1472, 676, 519, 7372, 6329, 899, 1507, 9162, 269, 25569, 338, 540, 2679, 779, 616, 593, 3595, 267, 16802, 532, 883, 13674, 8195, 269, 3567, 814, 1044, 19890, 10969, 730, 713, 6640, 543, 5170, 547, 581, 8697, 676, 11642, 543, 1835, 22824, 5656, 269, 1546, 11421, 689, 519, 13091, 543, 23329, 814, 1396, 339, 1229, 3567, 689, 922, 5032, 6050, 27808, 547, 3810, 13026, 2127, 563, 763, 23329, 18188, 4724, 16127, 543, 519, 7262, 772, 2529, 269, 11076, 6050, 269, 4993, 543, 14822, 616, 896, 23329, 21855, 269, 5345, 659, 6672, 729, 2556, 538, 16127, 547, 1832, 741, 4961, 2922, 269, 634, 23329, 779, 6329, 2220, 28534, 16127, 779, 24528, 609, 6329, 3670, 3952, 1657, 3339, 4463, 282, 1100, 3441, 814, 1044, 4080, 1106, 16127, 269, 634, 570, 15711, 9564, 814, 4867, 6603, 4993, 543, 14822, 779, 24528, 609, 10792, 6329, 282, 621, 568, 7164, 693, 713, 942, 267, 1018, 519, 6059, 2450, 540, 519, 6329, 1223, 581, 269, 2353, 23795, 17822, 616, 6806, 1813, 547, 519, 9963, 267, 1498, 1082, 1004, 616, 1869, 11018, 547, 4585, 519, 23329, 269, 16661, 4966, 616, 1443, 2358, 1996, 713, 1317, 607, 7150, 5892, 621, 568, 7164, 607, 547, 1018, 4463, 519, 6329, 786, 3914, 2899, 519, 2407, 23329, 814, 13175, 547, 5734, 563, 763, 3084, 4365, 2533, 616, 4098, 547, 18783, 513, 476, 274, 3723, 1216, 4473, 538, 4993, 779, 7297, 2059, 519, 5032, 6050, 269, 1358, 616, 1443, 2358, 602, 1004, 3251, 1753, 543, 798, 711, 2119, 547, 1205, 883, 891, 7297, 585, 1022, 2601, 269, 898, 568, 1869, 3810, 7164, 1018, 713, 23329, 666, 543, 786, 798, 547, 519, 7262, 23795, 24528, 269, 1234, 548, 1078, 713, 6640, 676, 7917, 27176, 267, 519, 2136, 2829, 16470, 14199, 267, 519, 5518, 4446, 871, 15525, 814, 7150, 519, 2136, 2276, 6763, 676, 4712, 547, 5351, 3567, 267, 16127, 267, 543, 519, 7262, 5032, 338, 540, 519, 772, 2529, 269, 538, 1022, 1259, 2009, 269, 0, 6440, 5788, 5788, 5788, 5788, 5788, 5788, 454, 24127, 476, 3445, 267, 17136, 476, 11025, 454, 32637, 267, 5988, 476, 736, 267, 476, 1960, 278, 454, 1432, 568, 621, 547, 581, 3109, 888, 3528, 25014, 3821, 32431, 543, 31656, 27431, 1678, 1961, 454, 257, 14937, 257, 849, 6227, 513, 2039, 540, 10080, 269, 10738, 713, 1895, 835, 949, 1265, 513, 1268, 540, 6014, 267, 3109, 543, 4457, 22693, 267, 1776, 540, 3043, 267, 3109, 543, 5824, 1977, 22693, 543, 1776, 1367, 540, 5065, 267, 14470, 543, 3979, 22693, 269, 769, 1249, 267, 1022, 1268, 540, 6404, 22510, 28429, 835, 3109, 22660, 666, 3409, 834, 296, 2015, 8885, 3109, 1701, 1677, 2417, 635, 12393, 519, 6927, 267, 713, 4214, 568, 3838, 676, 2043, 689, 9867, 2477, 543, 4529, 609, 3604, 538, 1893, 267, 4984, 267, 1686, 543, 14227, 4567, 563, 11693, 519, 1657, 2055, 267, 1004, 10747, 2933, 607, 3109, 723, 1500, 7418, 538, 513, 3099, 540, 2127, 281, 2069, 267, 9913, 267, 4915, 267, 19761, 267, 1148, 267, 3332, 267, 2257, 543, 1866, 269, 1703, 568, 711, 1152, 4763, 538, 2127, 855, 4763, 1369, 2127, 269, 1677, 9414, 519, 2495, 267, 1577, 721, 1413, 693, 519, 7418, 540, 17051, 538, 519, 2361, 540, 2575, 269, 594, 786, 3970, 1250, 6268, 547, 513, 1906, 13416, 3345, 1977, 543, 12144, 5159, 563, 297, 574, 328, 26673, 3700, 630, 13702, 1070, 9741, 9400, 630, 13702, 2575, 22082, 1070, 22186, 22220, 11135, 630, 641, 5028, 1070, 6276, 9466, 630, 325, 6064, 1070, 570, 1575, 659, 1744, 752, 584, 630, 1222, 5577, 1070, 634, 15107, 1562, 630, 3707, 271, 338, 1070, 13162, 966, 663, 1484, 630, 338, 9567, 24250, 1299, 645, 1070, 4032, 5178, 773, 630, 15927, 6512, 1070, 30546, 8891, 3205, 630, 329, 9579, 1070, 18724, 2284, 20279, 630, 16647, 1070, 7585, 3057, 2917, 630, 516, 1375, 2801, 1070, 2142, 6826, 543, 9919, 23895, 12736, 753, 630, 326, 13620, 1070, 3751, 590, 1706, 992, 630, 5632, 2988, 810, 1070, 667, 23581, 681, 27462, 630, 2908, 4224, 264, 543, 12389, 7822, 630, 515, 8283, 4496, 1916, 2026, 596, 666, 1294, 972, 616, 1100, 2653, 4267, 269, 3807, 607, 621, 568, 519, 2013, 538, 1022, 1895, 267, 1004, 1369, 519, 3109, 2146, 616, 8032, 676, 513, 3818, 13109, 540, 7506, 543, 607, 513, 1267, 519, 2043, 616, 9765, 5944, 4756, 563, 2414, 13555, 634, 17972, 4972, 281, 4757, 11333, 2593, 454, 15648, 9736, 634, 30657, 8291, 476, 1960, 278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29394, 781, 4063, 281, 901, 1650, 729, 8385, 3370, 538, 476, 1001, 277, 543, 814, 1044, 8242, 563, 10144, 798, 519, 29593, 2740, 652, 1919, 538, 13922, 540, 9319, 18151, 17486, 269, 1358, 6633, 10800, 546, 2426, 267, 17310, 16115, 610, 6995, 269, 1358, 4235, 575, 514, 543, 512, 4577, 269, 1358, 3548, 20397, 269, 1358, 10936, 2933, 609, 5023, 31683, 610, 1793, 1430, 2933, 538, 804, 913, 270, 531, 4022, 3070, 269, 1656, 789, 6299, 2933, 609, 645, 8784, 269, 834, 2791, 917, 267, 1346, 8185, 13526, 25390, 9212, 596, 2322, 538, 707, 3819, 518, 2437, 3081, 3220, 269, 8056, 334, 17713, 523, 267, 7548, 693, 519, 4659, 540, 11930, 645, 3930, 31190, 693, 1715, 6792, 3557, 2160, 563, 14085, 540, 1346, 2553, 723, 1044, 7318, 547, 1294, 952, 789, 2965, 1832, 19498, 2476, 269, 1809, 602, 3085, 1405, 3247, 1004, 689, 3843, 873, 267, 2687, 547, 513, 1353, 602, 786, 581, 3370, 713, 4832, 676, 17713, 523, 543, 26393, 267, 853, 864, 344, 30954, 22222, 267, 2978, 9614, 693, 519, 17713, 523, 6997, 693, 715, 5960, 308, 267, 799, 2090, 2081, 547, 2061, 18151, 25645, 3676, 269, 1358, 543, 9164, 4280, 476, 276, 267, 1822, 1004, 1018, 789, 1705, 547, 2149, 2933, 1996, 19498, 269, 4107, 1031, 6671, 18151, 28084, 757, 563, 10190, 3173, 4280, 827, 741, 2757, 1753, 14319, 269, 2334, 781, 950, 519, 10800, 546, 2426, 543, 3819, 518, 9212, 3357, 856, 269, 769, 11042, 267, 17713, 523, 543, 30954, 22222, 3838, 930, 540, 519, 6114, 789, 4607, 269, 4256, 1957, 814, 1044, 3370, 538, 519, 9263, 24595, 4760, 25398, 297, 563, 19741, 18691, 543, 2757, 14319, 267, 972, 616, 8810, 2081, 547, 2149, 1996, 19498, 543, 519, 3676, 789, 4163, 269, 715, 11266, 14437, 609, 3173, 267, 1082, 540, 7247, 6108, 6266, 540, 942, 538, 18151, 19899, 6479, 795, 2426, 956, 267, 23047, 1127, 543, 9341, 2127, 563, 7617, 28084, 757, 960, 1655, 547, 3247, 19498, 689, 24146, 888, 303, 20094, 5627, 16692, 4953, 723, 1044, 3254, 1312, 2922, 543, 2500, 269, 16692, 4953, 568, 695, 2180, 663, 585, 519, 3114, 715, 267, 301, 26817, 14007, 2173, 9508, 2389, 565, 340, 29524, 267, 519, 3742, 12146, 538, 1082, 5521, 28084, 757, 269, 589, 476, 1001, 276, 2376, 538, 519, 4750, 540, 24538, 3163, 8947, 519, 7145, 540, 1585, 5010, 5521, 838, 7590, 267, 543, 2472, 5627, 16692, 4953, 9863, 2500, 543, 5266, 1279, 9434, 269, 30954, 22222, 543, 17713, 523, 941, 4589, 540, 519, 476, 1001, 276, 1353, 267, 543, 556, 6088, 519, 2164, 538, 513, 476, 1001, 278, 2376, 538, 519, 1482, 4760, 563, 14701, 4953, 7902, 593, 4558, 21684, 538, 476, 4198, 278, 269, 1703, 729, 930, 2038, 6161, 827, 922, 3106, 2443, 25127, 602, 621, 729, 5532, 547, 14715, 2042, 269, 1809, 2487, 8039, 267, 585, 1383, 513, 1353, 3370, 538, 4873, 476, 1001, 275, 538, 519, 4760, 31226, 2572, 543, 966, 26662, 267, 3081, 267, 834, 27154, 4152, 267, 22423, 2090, 543, 6304, 8062, 723, 1336, 1100, 2963, 540, 4049, 8801, 2621, 2404, 609, 5227, 16692, 4953, 946, 4799, 14701, 4953, 3884, 1405, 519, 1152, 14049, 269, 15733, 5627, 519, 3742, 5820, 17552, 541, 573, 514, 543, 16843, 476, 31874, 276, 616, 607, 2500, 267, 3081, 3220, 269, 8355, 853, 4459, 2006, 267, 609, 519, 6820, 2657, 5358, 693, 519, 9291, 543, 9253, 25475, 27176, 7690, 630, 6518, 568, 513, 8034, 837, 540, 715, 11266, 264, 543, 2278, 540, 10644, 540, 645, 1872, 645, 2572, 267, 853, 902, 267, 543, 8376, 563, 11847, 749, 757, 609, 1022, 540, 1346, 3742, 5820, 616, 5227, 607, 2922, 543, 2500, 676, 519, 15544, 585, 8376, 6513, 543, 10644, 269, 1358, 616, 4922, 2139, 1472, 519, 1158, 563, 8002, 1302, 267, 853, 4459, 2006, 3947, 519, 6316, 547, 17552, 731, 514, 563, 257, 303, 545, 541, 573, 514, 568, 513, 2370, 811, 2500, 982, 16692, 4953, 543, 4667, 547, 1832, 19498, 693, 513, 3152, 3845, 2437, 646, 3081, 269, 1879, 1004, 946, 16692, 4953, 267, 19498, 949, 2244, 593, 873, 855, 711, 11116, 269, 1879, 789, 946, 513, 1587, 5627, 17552, 541, 573, 514, 267, 19498, 616, 1447, 2693, 547, 1256, 2244, 269, 3115, 749, 757, 609, 16843, 476, 31874, 276, 616, 5594, 1447, 2500, 267, 853, 4459, 2006, 3081, 267, 855, 789, 1810, 1405, 723, 519, 2178, 9329, 540, 824, 2472, 563, 10190, 972, 568, 3282, 540, 11993, 552, 32023, 267, 610, 6751, 291, 267, 513, 2067, 3282, 13939, 689, 519, 3762, 543, 1000, 12127, 540, 519, 11993, 1606, 1417, 539, 10733, 552, 32023, 2030, 267, 849, 5227, 676, 519, 15509, 269, 6751, 291, 568, 519, 12146, 538, 519, 3282, 602, 2306, 621, 28084, 550, 547, 7786, 269, 715, 5960, 308, 3173, 1336, 602, 513, 1587, 5627, 3282, 540, 11993, 552, 32023, 729, 827, 607, 2500, 543, 607, 1279, 9434, 607, 2472, 5627, 16692, 4953, 269, 834, 2690, 930, 1004, 267, 972, 781, 513, 16663, 547, 1210, 6464, 593, 741, 2960, 269, 1358, 4782, 513, 811, 2067, 1587, 2437, 3081, 30954, 22222, 563, 3080, 9670, 4466, 538, 476, 1001, 276, 729, 602, 513, 13526, 2541, 267, 15117, 781, 10555, 645, 558, 2125, 17850, 267, 729, 513, 7168, 1434, 28084, 550, 269, 17713, 523, 543, 30954, 22222, 1767, 789, 3773, 621, 547, 519, 2472, 789, 7318, 607, 513, 2318, 1852, 267, 18468, 922, 27536, 20416, 1131, 4482, 19498, 269, 898, 5828, 856, 12961, 554, 730, 519, 9329, 563, 19853, 811, 2487, 476, 1001, 278, 1353, 849, 4371, 513, 9983, 269, 589, 1587, 1572, 5510, 1849, 760, 268, 4002, 1140, 2851, 547, 7802, 543, 3568, 513, 7047, 16466, 5627, 519, 1858, 28084, 550, 267, 1558, 1993, 331, 3578, 12541, 267, 849, 5227, 676, 519, 15509, 269, 634, 28707, 3926, 568, 2966, 585, 2576, 9361, 538, 835, 1747, 267, 899, 513, 2385, 8384, 513, 2571, 4252, 3014, 269, 634, 1268, 17176, 593, 513, 1507, 6007, 268, 6016, 730, 10178, 602, 9514, 338, 513, 1507, 20893, 540, 28084, 550, 883, 519, 2011, 5612, 4478, 519, 17157, 6823, 649, 13145, 269, 834, 2005, 2965, 5249, 899, 513, 19259, 2437, 3081, 17713, 523, 269, 898, 729, 827, 607, 2500, 607, 16692, 4953, 610, 3282, 540, 11993, 552, 32023, 693, 5329, 519, 12961, 2476, 267, 646, 3081, 563, 6701, 972, 2472, 602, 1175, 1810, 1405, 960, 888, 8253, 782, 2472, 5838, 1018, 789, 9153, 269, 634, 476, 1001, 276, 1353, 1336, 6171, 645, 272, 2960, 15649, 547, 581, 23696, 693, 1065, 2454, 19498, 269, 634, 476, 1001, 278, 1353, 3773, 3632, 1258, 7578, 22250, 547, 519, 1592, 540, 2472, 602, 1810, 1405, 1832, 19498, 2476, 563, 3383, 10777, 17079, 3146, 335, 749, 550, 21015, 27512, 543, 25231, 7410, 3111, 547, 1065, 601, 19498, 267, 2687, 547, 519, 2487, 1353, 269, 1452, 2472, 2270, 513, 3099, 540, 11041, 1519, 3632, 1258, 7578, 543, 19790, 784, 14993, 563, 19285, 4312, 1185, 19498, 2244, 1318, 593, 519, 25231, 2280, 602, 594, 729, 4152, 2437, 3081, 30954, 22222, 269, 834, 5445, 2344, 1496, 1492, 21015, 27512, 543, 25231, 7410, 316, 607, 7863, 596, 1996, 32760, 1496, 320, 3644, 3262, 676, 19498, 602, 267, 538, 9176, 2021, 267, 666, 1267, 538, 3978, 4332, 12889, 3910, 855, 789, 2811, 4625, 23696, 4799, 19575, 337, 21319, 3457, 267, 1210, 18565, 1004, 666, 1405, 5873, 855, 2344, 619, 3409, 19498, 13842, 267, 1810, 1405, 960, 267, 2901, 269, 834, 763, 521, 4577, 3926, 649, 7318, 1185, 1100, 1198, 2437, 3081, 17713, 523, 269, 834, 2171, 4312, 7318, 1866, 1354, 267, 1932, 269, 7183, 540, 873, 960, 269, 1703, 781, 1100, 3621, 2963, 602, 19498, 616, 1065, 8215, 676, 3280, 563, 1692, 1419, 1058, 596, 31272, 569, 513, 28084, 550, 888, 23744, 267, 621, 781, 513, 1434, 914, 547, 1246, 519, 10672, 781, 5528, 267, 4966, 1767, 269, 4658, 945, 786, 581, 3544, 585, 606, 5662, 610, 1079, 1058, 581, 6870, 609, 267, 2161, 267, 513, 1587, 602, 3568, 513, 2539, 5834, 540, 16692, 4953, 630, 12671, 476, 1015, 2600, 2443, 4857, 593, 519, 6003, 1040, 8409, 945, 786, 581, 856, 538, 519, 18137, 267, 610, 26570, 610, 22153, 1633, 267, 1058, 946, 513, 2362, 5834, 540, 476, 736, 547, 476, 1839, 2600, 267, 543, 29295, 1169, 2185, 3108, 610, 865, 267, 3081, 3220, 269, 808, 5282, 1234, 344, 267, 954, 574, 8689, 540, 519, 8419, 6481, 9980, 558, 1108, 12524, 538, 966, 3266, 16047, 269, 834, 763, 2362, 519, 5834, 267, 519, 3476, 621, 16569, 2437, 3081, 1234, 344, 563, 4517, 1586, 267, 1246, 10672, 781, 8846, 593, 519, 2179, 1031, 269, 834, 288, 2603, 540, 1004, 1589, 602, 952, 513, 2370, 568, 1434, 267, 513, 2603, 568, 1732, 2437, 3081, 3220, 269, 5261, 1234, 17470, 267, 7548, 900, 518, 7978, 693, 519, 3427, 540, 27259, 6925, 693, 519, 2160, 540, 4993, 267, 16026, 269, 834, 2791, 1810, 1405, 723, 547, 1491, 513, 8602, 538, 519, 8631, 4799, 1432, 2186, 540, 7802, 2337, 2149, 1996, 17486, 888, 2691, 1234, 344, 4422, 593, 1382, 15143, 547, 3810, 1102, 6479, 2127, 267, 899, 519, 8419, 17451, 6921, 3547, 267, 646, 17015, 909, 269, 834, 2171, 5957, 1279, 27890, 543, 1279, 1606, 23932, 1386, 695, 16630, 2437, 646, 3081, 269, 834, 2252, 621, 781, 3226, 3983, 267, 649, 946, 22970, 609, 24437, 4947, 1524, 936, 519, 3068, 269, 1656, 649, 4096, 593, 28084, 550, 593, 6534, 2127, 1701, 2334, 1223, 1611, 3946, 267, 8405, 543, 3068, 269, 1809, 1810, 1405, 10936, 519, 3068, 267, 4966, 2161, 269, 1677, 2057, 8886, 908, 519, 4064, 267, 2322, 519, 28084, 550, 593, 3946, 543, 6299, 621, 593, 519, 3068, 563, 4517, 1810, 1405, 7340, 519, 3952, 269, 17018, 10181, 3996, 723, 28031, 5652, 10153, 16371, 7375, 269, 3509, 540, 873, 267, 2523, 519, 589, 26433, 3099, 602, 18993, 1080, 519, 32760, 3644, 267, 2648, 519, 9329, 540, 3952, 563, 257, 310, 8960, 5070, 1023, 3884, 1405, 513, 1434, 2856, 2437, 3081, 30954, 22222, 269, 1744, 3996, 543, 26852, 616, 1572, 585, 267, 543, 512, 31902, 27890, 883, 26852, 610, 10887, 2337, 1832, 19498, 689, 3478, 3330, 7802, 269, 2701, 31273, 1279, 27890, 950, 13964, 538, 18151, 8513, 2443, 543, 9090, 711, 10649, 27890, 269, 834, 8967, 663, 1410, 568, 1360, 18151, 7874, 269, 1358, 11116, 998, 621, 269, 594, 5957, 9126, 326, 1512, 27890, 543, 1279, 19492, 1386, 695, 16630, 267, 546, 748, 539, 538, 16692, 4953, 4799, 1432, 3116, 666, 2569, 519, 1981, 540, 18151, 17486, 888, 300, 657, 10181, 3996, 666, 11116, 693, 1022, 942, 540, 1554, 267, 855, 519, 589, 26433, 513, 1122, 344, 696, 328, 2249, 602, 18993, 1080, 32760, 27422, 4571, 332, 528, 940, 543, 2038, 10543, 267, 3081, 853, 4459, 2006, 269, 1403, 2009, 267, 3251, 16280, 538, 29971, 2987, 610, 2011, 8410, 1288, 539, 5656, 1282, 1346, 2053, 563, 7712, 891, 1880, 19498, 9742, 538, 7555, 1216, 538, 11149, 899, 2030, 17428, 267, 2025, 18646, 267, 11369, 1115, 543, 17885, 23691, 267, 1004, 1058, 7759, 741, 7525, 1858, 540, 1919, 602, 666, 2445, 1216, 269, 834, 18933, 21148, 20115, 267, 8259, 789, 2811, 14460, 267, 616, 15528, 2437, 3081, 1234, 344, 269, 634, 6464, 1031, 547, 1832, 20115, 2922, 585, 10977, 849, 1832, 19498, 2476, 269, 898, 3217, 930, 2673, 3168, 547, 1265, 1169, 2009, 9960, 2666, 585, 19498, 269, 834, 296, 4312, 2938, 930, 3384, 538, 513, 4670, 540, 1216, 1985, 547, 513, 16173, 267, 610, 538, 519, 5377, 540, 513, 4837, 1004, 946, 547, 11453, 741, 4522, 2437, 3081, 853, 4459, 2006, 269, 27686, 909, 2127, 540, 7555, 1216, 666, 7494, 2569, 519, 1297, 540, 19498, 563, 763, 811, 1004, 798, 602, 2186, 540, 2596, 30749, 267, 519, 7864, 19498, 972, 786, 581, 269, 834, 2005, 949, 711, 581, 3501, 267, 855, 596, 3513, 2539, 519, 1297, 540, 19498, 14831, 3585, 2437, 3081, 853, 4459, 2006, 563, 1432, 781, 593, 519, 16880, 547, 948, 1004, 2057, 18151, 17486, 543, 519, 3676, 789, 3142, 888, 295, 753, 523, 3081, 1010, 2978, 568, 2324, 593, 513, 4480, 538, 799, 5256, 19498, 616, 10322, 28895, 609, 5982, 267, 1287, 5950, 883, 519, 1604, 269, 1358, 19898, 609, 8951, 945, 2482, 5798, 267, 855, 519, 5798, 2760, 24011, 269, 634, 4480, 1131, 3077, 1808, 2249, 267, 899, 519, 589, 26433, 513, 1122, 344, 696, 328, 602, 10141, 32760, 267, 28939, 8611, 543, 824, 3676, 563, 4517, 513, 2319, 540, 3744, 538, 12590, 568, 2324, 593, 513, 18151, 28084, 550, 602, 786, 3251, 593, 519, 2960, 543, 2611 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13993, 26376, 570, 2207, 6020, 8991, 623, 2969, 6224, 693, 519, 1655, 2228, 5777, 693, 552, 29074, 256, 5131, 11288, 585, 1082, 2472, 454, 16032, 6947, 1995, 568, 593, 24904, 267, 32288, 2135, 610, 6380, 926, 269, 4427, 18285, 547, 8549, 20000, 781, 3232, 8301, 11042, 593, 11197, 23093, 4751, 338, 610, 23093, 4751, 3080, 269, 589, 2487, 8366, 676, 519, 16470, 11628, 3194, 18768, 10837, 630, 291, 2752, 5183, 264, 547, 519, 2160, 540, 12590, 568, 6322, 693, 14027, 3684, 1565, 538, 513, 1259, 602, 13147, 923, 519, 1480, 2247, 5741, 623, 1122, 30510, 538, 824, 2923, 269, 5741, 281, 623, 1122, 30510, 5526, 538, 11635, 2494, 14022, 1819, 24601, 267, 3366, 676, 6739, 10196, 16653, 670, 1105, 990, 269, 769, 713, 4528, 267, 5741, 281, 623, 1122, 30510, 568, 606, 1648, 1382, 9744, 4092, 538, 1715, 3840, 4975, 543, 568, 3743, 585, 2870, 519, 595, 3234, 5459, 13552, 334, 24915, 1210, 25909, 966, 1678, 334, 607, 513, 12681, 454, 291, 2752, 5183, 781, 5449, 22071, 538, 519, 9098, 12384, 8378, 540, 1488, 28002, 269, 901, 8116, 5063, 6410, 547, 476, 277, 4037, 3345, 11969, 20462, 9335, 267, 2282, 519, 11831, 8725, 5871, 26864, 269, 634, 16470, 11628, 3194, 18768, 10837, 630, 291, 2752, 5183, 264, 568, 606, 8116, 540, 519, 2136, 2276, 4972, 540, 16470, 3743, 585, 519, 1646, 540, 1007, 4066, 585, 946, 676, 519, 4108, 269, 1547, 667, 2752, 5183, 814, 1044, 3743, 585, 7616, 269, 634, 623, 1122, 30510, 5741, 568, 606, 2228, 9101, 3014, 9244, 6212, 593, 5698, 543, 2324, 1134, 1927, 269, 1924, 596, 666, 946, 621, 950, 1114, 2319, 2818, 960, 20716, 269, 898, 568, 5393, 5078, 585, 2870, 2228, 4276, 609, 1142, 824, 269, 634, 623, 1122, 30510, 5741, 568, 606, 2228, 9101, 3014, 602, 596, 4194, 607, 513, 2319, 1927, 269, 1411, 666, 4283, 543, 4983, 563, 4504, 601, 26082, 667, 2752, 5183, 538, 3406, 540, 14238, 1412, 3128, 344, 1178, 559, 262, 932, 760, 9649, 786, 7119, 538, 667, 2752, 5183, 781, 667, 11266, 25893, 1982, 602, 6663, 547, 1020, 606, 5787, 1807, 585, 4628, 4630, 25806, 14238, 634, 16470, 11628, 3194, 18768, 10837, 630, 291, 2752, 5183, 264, 814, 7000, 26058, 538, 922, 5794, 10395, 520, 12472, 630, 19781, 264, 1982, 269, 11068, 3118, 998, 18001, 476, 272, 267, 519, 1982, 814, 12913, 1896, 3853, 593, 519, 2619, 4724, 2661, 9408, 1446, 8484, 2915, 325, 2074, 538, 18001, 476, 273, 2417, 883, 476, 1708, 272, 634, 1788, 781, 2832, 568, 2241, 281, 667, 2752, 5183, 6487, 602, 2361, 1982, 30154, 10766, 14249, 630, 17025, 294, 2026, 264, 616, 513, 5386, 1259, 547, 1711, 519, 2186, 540, 2688, 13339, 2877, 585, 2027, 2213, 20237, 3156, 267, 1247, 849, 4946, 2614, 3209, 1399, 547, 6272, 602, 14763, 3068, 513, 27162, 615, 3077, 5899, 1052, 667, 2752, 5183, 3785, 602, 1118, 1414, 30235, 1413, 1970, 30235, 269, 25014, 3821, 27213, 269, 17397, 2201, 5239, 476, 1428, 267, 476, 1708, 271, 476, 1724, 281, 4962, 281, 1691, 630, 310, 1731, 12855, 12780, 264, 1703, 616, 7899, 540, 1919, 538, 938, 4948, 1272, 602, 2047, 1267, 689, 930, 5377, 1532, 848, 618, 9490, 6901, 2201, 713, 1554, 538, 476, 1960, 275, 267, 519, 1101, 10131, 540, 519, 8121, 5183, 570, 19653, 26259, 6707, 5116, 1079, 31139, 338, 883, 10739, 281, 519, 476, 4510, 278, 2000, 321, 667, 2752, 303, 3008, 2969, 609, 513, 15870, 17513, 543, 1239, 16267, 585, 2230, 12445, 4255, 10756, 291, 2752, 5183, 18768, 269, 20770, 5358, 7232, 13697, 19257, 2928, 13505, 282, 16594, 3562, 6741, 3663, 1062, 1063, 2296, 14522, 910, 623, 1122, 30510, 3194, 282, 22743, 2752, 303, 5741, 281, 2475, 715, 16787, 312, 910, 25220, 3194, 12524, 910, 630, 11073, 2515, 13017, 264, 22743, 2752, 303, 21213, 17421, 269, 667, 2752, 5183, 11394, 18747, 547, 4434, 681, 3722, 2207, 4149, 574, 1788, 476, 1240, 3967, 476, 1708, 272, 630, 8310, 21213, 5130, 476, 1240, 628, 267, 476, 1708, 272, 476, 1626, 281, 4029, 264, 634, 16470, 11628, 3194, 18768, 10837, 630, 291, 2752, 5183, 264, 538, 519, 2475, 814, 8179, 18747, 602, 786, 948, 538, 14027, 609, 519, 7605, 5328, 4201, 16860, 538, 13216, 2037, 4921, 609, 22990, 3050, 910, 29896, 630, 305, 3722, 2207, 4149, 574, 264, 1788, 623, 1122, 30510, 5741, 3331, 353, 337, 561, 7564, 332, 680, 580, 339, 535, 23152, 27615, 3899, 1285, 642, 7564, 333, 1676, 522, 577, 535, 7238, 4958, 698, 1474, 5636, 7663, 20393, 3059, 339, 533, 18033, 5609, 552, 2102, 7193, 1315, 5672, 269, 661, 1777, 8665, 25419, 3331, 353, 337, 476, 274, 268, 276, 1268, 518, 269, 13660, 642, 7564, 331, 329, 518, 562, 7564, 337, 5918, 5636, 1793, 583, 325, 7238, 571, 26627, 326, 604, 1084, 269, 715, 7564, 337, 6132, 839, 330, 31829, 606, 2471, 533, 18033, 1357, 321, 680, 1846, 523, 522, 577, 5918, 2119, 14982, 533, 18033, 9373, 267, 536, 23152, 21186, 512, 16582, 269, 13397, 839, 330, 31829, 630, 1716, 320, 264, 3331, 353, 337, 575, 2830, 27004, 1775, 1696, 339, 3331, 354, 337, 9992, 18033, 333, 13504, 7238, 1186, 323, 23628, 564, 22870, 1236, 592, 548, 642, 559, 10937, 31705, 2007, 679, 14850, 330, 337, 643, 940, 554, 7564, 337, 2367, 1357, 321, 680, 1846, 523, 5918, 5707, 30198, 533, 18033, 11489, 18033, 614, 703, 324, 1033, 3279, 667, 2752, 5183, 781, 5440, 1670, 4578, 5811, 1982, 6745, 858, 476, 2568, 279, 6398, 476, 3607, 274, 282, 476, 16348, 22995, 16470, 11628, 3194, 18768, 10837, 2000, 690, 334, 3052, 604, 476, 14917, 6398, 476, 7176, 282, 476, 279, 22995, 661, 12678, 3052, 604, 476, 4335, 6398, 476, 22001, 282, 476, 1240, 918, 634, 16470, 11628, 3194, 18768, 10837, 630, 291, 4338, 6938, 264, 568, 2324, 593, 513, 2780, 2257, 4674, 547, 2232, 519, 3354, 4220, 2404, 609, 8989, 3301, 16426, 269, 667, 2752, 5183, 1767, 13628, 269, 0, 2005, 781, 711, 2653, 547, 1294, 519, 7092, 540, 513, 6068, 835, 269, 2311, 519, 942, 540, 519, 4323, 267, 513, 1268, 7092, 689, 8849, 22468, 540, 519, 4645, 655, 1400, 8229, 7959, 865, 2178, 543, 11213, 1928, 602, 1256, 519, 1198, 540, 1387, 2471, 923, 666, 711, 2141, 11883, 609, 873, 269, 15531, 856, 811, 827, 519, 2068, 267, 596, 666, 4584, 909, 2126, 2409, 602, 786, 948, 596, 4339, 621, 3927, 269, 1677, 2253, 609, 267, 596, 991, 547, 1174, 519, 2589, 540, 519, 2068, 543, 519, 4128, 1946, 621, 5526, 563, 21618, 540, 519, 2068, 454, 1607, 2068, 568, 3833, 1455, 1851, 519, 2551, 269, 898, 4386, 538, 476, 2004, 1004, 829, 476, 1911, 8536, 269, 12580, 540, 4645, 655, 1400, 8849, 22468, 616, 14733, 267, 865, 621, 568, 2356, 711, 2182, 960, 547, 13209, 513, 2068, 912, 268, 10266, 814, 2312, 7182, 267, 14553, 538, 519, 1858, 540, 519, 4645, 655, 1400, 8229, 610, 922, 8371, 3248, 268, 10266, 17915, 2049, 538, 519, 1106, 540, 6285, 9434, 476, 272, 269, 276, 910, 476, 273, 3764, 269, 4438, 606, 4323, 267, 519, 21131, 540, 19975, 267, 17725, 21131, 949, 2333, 3248, 268, 10266, 14815, 568, 2653, 547, 9594, 676, 15700, 519, 865, 10777, 9594, 610, 9594, 10851, 269, 1717, 267, 971, 513, 5114, 568, 15534, 609, 513, 2178, 1198, 593, 891, 2127, 263, 13297, 609, 513, 861, 16206, 267, 2178, 2604, 11850, 268, 9737, 519, 6285, 540, 1928, 8209, 2501, 513, 1974, 540, 561, 1638, 269, 4438, 713, 1974, 267, 513, 1268, 666, 1745, 4625, 2635, 269, 1261, 814, 4625, 1100, 20286, 563, 763, 2589, 540, 4645, 655, 1400, 8849, 22468, 616, 14733, 267, 799, 2306, 621, 2653, 547, 13209, 543, 1265, 519, 1034, 2500, 2126, 538, 1034, 2665, 563, 7212, 8849, 22468, 568, 513, 2068, 4171, 3123, 723, 711, 1044, 6594, 547, 519, 1439, 267, 789, 1869, 5031, 519, 1292, 2188, 7700, 547, 519, 12614, 540, 519, 2068, 269, 634, 1292, 2014, 540, 1928, 568, 13496, 540, 519, 4645, 655, 1400, 8229, 269, 769, 513, 3461, 945, 814, 1044, 8995, 609, 8849, 22468, 4645, 655, 1400, 8229, 3123, 540, 519, 2068, 267, 2356, 4389, 547, 519, 1739, 912, 268, 966, 6018, 2068, 3248, 268, 15448, 538, 10307, 1813, 547, 25012, 1062, 2068, 3248, 268, 2353, 21544, 6547, 3248, 268, 769, 11987, 3157, 263, 18980, 4345, 267, 561, 28640, 4345, 267, 3092, 4700, 3248, 268, 1975, 10105, 269, 15394, 4646, 1310, 5945, 3248, 14240, 540, 4645, 655, 1400, 8849, 22468, 3123, 519, 2068, 547, 9090, 948, 609, 922, 2126, 267, 865, 519, 3461, 543, 1010, 14077, 1590, 1101, 1265, 856, 1018, 1008, 10280, 519, 12615, 566, 540, 519, 2068, 543, 1287, 23131, 547, 922, 2126, 269, 0, 4692, 513, 18604, 4761, 1062, 2333, 519, 1981, 540, 5046, 268, 866, 3968, 888, 288, 18604, 4761, 1062, 610, 824, 2175, 971, 607, 5761, 2068, 267, 8377, 267, 4359, 2085, 267, 3987, 543, 2295, 2068, 666, 2322, 1004, 693, 2799, 1981, 585, 11452, 3968, 543, 811, 4049, 2665, 540, 5046, 268, 866, 563, 1692, 1281, 707, 1560, 4339, 5046, 268, 866, 888, 2026, 519, 1560, 13290, 547, 4339, 519, 3968, 267, 519, 4761, 1062, 3123, 6553, 547, 1118, 621, 2182, 585, 519, 3644, 547, 5299, 3294, 269, 634, 1184, 540, 8165, 519, 3968, 3123, 1034, 540, 519, 2589, 1004, 723, 269, 1306, 519, 3644, 2306, 922, 1259, 1524, 547, 519, 9641, 621, 666, 2014, 519, 9641, 547, 1831, 28332, 269, 901, 666, 1291, 547, 16415, 563, 4692, 1434, 3207, 948, 2333, 938, 4761, 1062, 1282, 5046, 268, 866, 6855, 888, 21093, 513, 1434, 3781, 779, 3207, 666, 5818, 938, 4761, 1062, 269, 5525, 723, 1336, 602, 711, 3478, 1434, 3207, 666, 1118, 930, 10074, 711, 960, 3927, 269, 2659, 7099, 786, 581, 811, 1256, 543, 1447, 8886, 762, 950, 596, 723, 20335, 513, 1434, 3781, 779, 3207, 269, 19768, 540, 3207, 666, 6175, 707, 1648, 2157, 563, 1692, 1279, 666, 5046, 268, 866, 12046, 2063, 888, 2414, 2149, 519, 2518, 2551, 689, 5046, 268, 866, 267, 621, 568, 4105, 547, 1020, 4550, 4149, 12678, 17336, 268, 273, 12046, 3842, 2067, 3968, 610, 12674, 269, 1717, 267, 538, 5046, 268, 866, 16626, 2043, 267, 513, 8325, 7771, 538, 1208, 7394, 12046, 814, 1044, 4767, 1310, 476, 277, 1107, 476, 279, 3275, 540, 10835, 12614, 563, 6701, 6375, 665, 20234, 668, 2213, 2043, 811, 7925, 547, 5046, 268, 866, 888, 10144, 945, 616, 6375, 665, 20234, 668, 2213, 538, 513, 6073, 2147, 547, 1346, 945, 723, 22734, 4396, 1418, 24328, 723, 513, 4389, 2702, 547, 4339, 5563, 543, 824, 3676, 267, 543, 789, 616, 2523, 7925, 547, 5563, 267, 1519, 5046, 268, 866, 563, 1692, 1279, 1281, 621, 1491, 547, 9156, 689, 5046, 268, 866, 888, 293, 6136, 267, 1004, 945, 723, 7646, 547, 9793, 2589, 3335, 9156, 538, 513, 1906, 2395, 610, 4374, 563, 1692, 1281, 519, 1560, 1020, 12046, 547, 5046, 268, 866, 888, 5629, 596, 4076, 1044, 6534, 547, 513, 3644, 267, 707, 1560, 2306, 3965, 2281, 269, 1403, 596, 2461, 6534, 547, 602, 1482, 3644, 1586, 267, 891, 2281, 5431, 621, 269, 1358, 2995, 707, 4761, 1062, 547, 1118, 12489, 1996, 621, 563, 6701, 3207, 2042, 2404, 609, 519, 5046, 268, 866, 6855, 888, 28036, 2042, 2408, 547, 723, 1044, 1455, 1282, 519, 5571, 5046, 268, 866, 6855, 269, 5047, 267, 3207, 2042, 941, 1336, 547, 581, 2404, 609, 2362, 2157, 540, 5626, 11605, 269, 2060, 519, 946, 540, 2500, 3292, 8156, 3207, 2042, 267, 5626, 11605, 949, 581, 4389, 269, 0, 1432, 568, 519, 1909, 540, 7181, 3679, 888, 295, 5141, 630, 5139, 549, 18608, 545, 3679, 264, 11226, 538, 3114, 12536, 538, 519, 7181, 563, 7197, 5946, 2253, 12536, 538, 519, 7181, 269, 19204, 540, 519, 7181, 694, 4740, 519, 29680, 1990, 2096, 4094, 533, 788, 7562, 4094, 267, 799, 568, 606, 11747, 602, 568, 15181, 676, 670, 5141, 269, 769, 922, 3742, 1106, 267, 533, 788, 7562, 4094, 568, 1572, 533, 788, 7562, 269, 623, 788, 7562, 9397, 519, 26733, 7554, 602, 3095, 11254, 7408, 563, 13295, 267, 670, 5141, 568, 3238, 538, 3114, 12536, 540, 5946, 538, 519, 7181, 269, 0, 306, 8656, 295, 17976, 14349, 476, 1708, 272, 268, 6349, 268, 5400, 454, 763, 5892, 6994, 2213, 2911, 786, 581, 8719, 676, 713, 912, 10955, 1189, 9410, 281, 4279, 645, 878, 9116, 30410, 800, 543, 8065, 454, 15124, 645, 878, 9116, 949, 581, 835, 540, 519, 14758, 8153, 4025, 538, 22206, 13083, 267, 855, 621, 814, 513, 4241, 1686, 269, 4706, 10120, 17028, 800, 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 ]
[ 267, 519, 6240, 1772, 9189, 22155, 267, 799, 1352, 5206, 538, 519, 2063, 1032, 540, 1200, 1272, 269, 769, 476, 3707, 272, 267, 1310, 5305, 689, 2028, 618, 630, 553, 834, 523, 5519, 30659, 19823, 21322, 543, 32572, 3026, 584, 987, 941, 9310, 267, 543, 759, 25390, 741, 960, 538, 10228, 267, 15713, 519, 1772, 9189, 4659, 269, 4173, 960, 607, 513, 22155, 3323, 538, 21499, 538, 519, 476, 4572, 271, 338, 950, 1352, 3459, 23712, 609, 32572, 3026, 584, 987, 269, 20780, 532, 1927, 519, 5767, 1382, 267, 713, 1433, 568, 519, 1101, 3102, 267, 2143, 2272, 540, 922, 1641, 269, 901, 729, 519, 1376, 540, 1200, 1279, 2534, 607, 519, 1292, 2048, 10520, 845, 518, 685, 630, 514, 2296, 267, 649, 1131, 1631, 2161, 14704, 264, 2324, 609, 3026, 584, 987, 538, 519, 6887, 602, 1500, 8642, 10525, 540, 1514, 1344, 269, 1230, 18727, 543, 2919, 538, 519, 476, 4572, 271, 338, 607, 2048, 1492, 21499, 1505, 540, 3182, 3645, 7194, 8730, 713, 1935, 547, 8888, 1344, 1185, 689, 922, 27299, 519, 1379, 547, 1332, 543, 3262, 18368, 269, 2073, 634, 824, 1898, 4759, 540, 519, 3026, 584, 987, 1895, 267, 519, 4436, 7376, 15168, 323, 1488, 660, 345, 267, 8678, 538, 476, 4572, 279, 269, 476, 898, 729, 5497, 607, 513, 1505, 540, 3182, 3645, 7194, 602, 1223, 12172, 3621, 3347, 585, 1875, 12665, 269, 21322, 1234, 573, 30937, 3563, 5249, 693, 713, 9754, 538, 21499, 2394, 519, 5618, 3540, 2112, 538, 15212, 538, 476, 4350, 275, 267, 3001, 1287, 609, 3026, 584, 987, 630, 320, 7986, 4317, 19391, 520, 264, 543, 1488, 660, 345, 630, 15367, 1185, 14336, 10662, 547, 9097, 268, 3847, 2516, 264, 547, 634, 670, 6558, 269, 1234, 573, 30937, 3563, 6594, 6128, 543, 6323, 689, 476, 4489, 278, 547, 476, 4572, 275, 538, 717, 7238, 339, 1154, 523, 267, 5125, 267, 1247, 849, 2921, 6030, 693, 519, 834, 298, 684, 7370, 577, 2544, 257, 538, 476, 4489, 280, 269, 9737, 891, 1292, 11271, 519, 1433, 6799, 954, 331, 26360, 25643, 1772, 9189, 2504, 11617, 269, 2311, 519, 1376, 540, 476, 4572, 276, 713, 2968, 519, 717, 525, 20635, 577, 10762, 338, 268, 3768, 654, 16630, 3873, 1111, 8243, 5237, 538, 654, 1329, 630, 8072, 12892, 543, 9483, 7467, 540, 21499, 685, 1040, 634, 1239, 729, 11609, 543, 32144, 687, 941, 547, 581, 4843, 267, 519, 1267, 729, 513, 15469, 24339, 520, 5314, 540, 1702, 269, 634, 960, 538, 8642, 2792, 5645, 856, 676, 32572, 3026, 584, 987, 543, 1010, 27498, 1107, 1631, 4122, 1634, 3274, 607, 1772, 9189, 1107, 814, 1044, 519, 1641, 540, 1454, 1719, 538, 2487, 1296, 269, 476, 2991, 32572, 3026, 584, 987, 779, 2669, 538, 476, 3707, 276, 267, 21322, 3026, 584, 987, 5645, 593, 519, 960, 609, 513, 1507, 1297, 540, 2296, 20843, 267, 3001, 547, 5507, 538, 476, 3707, 279, 269, 769, 922, 3486, 3795, 543, 922, 24909, 883, 519, 9962, 14099, 540, 1686, 267, 713, 1433, 10741, 513, 1007, 642, 16695, 538, 8642, 1374, 269, 3026, 584, 987, 729, 513, 4759, 540, 519, 2319, 602, 2919, 513, 16866, 3182, 4919, 1893, 267, 519, 21499, 6396, 540, 11625, 3645, 10803, 630, 310, 1329, 518, 6396, 324, 3541, 645, 843, 560, 520, 626, 1731, 1070, 799, 1352, 2663, 26948, 1772, 9189, 269, 634, 3308, 960, 540, 32572, 3026, 584, 987, 543, 1010, 27498, 267, 1631, 4122, 1634, 607, 1772, 9189, 267, 814, 1044, 1454, 5941, 538, 2487, 1296, 269, 3807, 1354, 4271, 908, 1352, 1558, 32572, 3026, 584, 987, 543, 4166, 6410, 547, 21499, 269, 634, 824, 1898, 4759, 540, 519, 3026, 584, 987, 1895, 267, 519, 4436, 7376, 15168, 323, 1488, 660, 345, 630, 5002, 272, 1700, 6434, 1070, 8678, 538, 476, 4572, 279, 269, 21322, 3026, 584, 987, 267, 4535, 21322, 1234, 573, 30937, 3563, 630, 2767, 2904, 476, 6245, 279, 1107, 476, 1015, 5239, 476, 2735, 277, 1070, 729, 513, 4436, 14704, 267, 1514, 10196, 543, 2278, 269, 2991, 1200, 16468, 538, 476, 3192, 272, 267, 1352, 5795, 1454, 1648, 547, 9591, 513, 2594, 540, 32572, 3026, 584, 987, 779, 1272, 543, 960, 267, 543, 11049, 543, 24758, 1010, 12591, 269, 634, 22155, 281, 3741, 540, 1818, 1772, 9189, 12125, 267, 4972, 540, 11978, 2762, 267, 2160, 540, 7335, 269, 32572, 3026, 584, 987, 630, 539, 269, 2701, 5747, 538, 5507, 538, 476, 2735, 277, 269, 769, 476, 3707, 272, 267, 1310, 5305, 689, 2028, 618, 630, 553, 2048, 523, 5519, 30659, 685, 1070, 21322, 543, 32572, 3026, 584, 987, 941, 9310, 267, 543, 759, 25390, 741, 960, 538, 10228, 267, 15713, 519, 1772, 9189, 4659, 269, 2701, 21845, 1950, 1344, 543, 9927, 621, 883, 13801, 3137, 602, 5916, 1913, 543, 5961, 269, 1234, 573, 30937, 3563, 6594, 6128, 543, 6323, 689, 476, 4489, 278, 547, 476, 4572, 275, 538, 717, 7238, 339, 1154, 523, 267, 5125, 267, 1247, 849, 2921, 6030, 693, 519, 834, 298, 684, 7370, 577, 2544, 257, 538, 476, 4489, 280, 269, 3026, 584, 987, 6394, 519, 1344, 267, 1488, 660, 345, 2919, 519, 3182, 9999, 543, 12449, 543, 1234, 573, 30937, 3563, 10736, 519, 1344, 543, 1239, 883, 513, 3308, 24669, 6881, 269, 589, 1007, 2012, 729, 2877, 585, 519, 21499, 6396, 1631, 602, 922, 3312, 2796, 729, 2451, 3297, 281, 21322, 3026, 584, 987, 2919, 519, 27099, 1772, 9189, 630, 17220, 3590, 540, 11978, 4919, 16514, 4065, 264, 538, 476, 4350, 276, 593, 519, 21658, 540, 8176, 28270, 29142, 6577, 779, 968, 21995, 2296, 6100, 769, 476, 3707, 271, 267, 607, 519, 4436, 7952, 22983, 519, 13814, 267, 3026, 584, 987, 543, 1234, 573, 30937, 3563, 23012, 547, 4789, 267, 1247, 1488, 660, 345, 18423, 3297, 538, 634, 670, 6558, 269, 476, 3807, 1354, 4271, 908, 1352, 1558, 32572, 3026, 584, 987, 543, 4166, 6410, 547, 21499, 269, 1703, 616, 11271, 593, 519, 8037, 24909, 540, 1772, 9189, 547, 8168, 6576, 267, 519, 7330, 267, 543, 4000, 269, 2991, 32572, 3026, 584, 987, 779, 2669, 538, 476, 3707, 276, 267, 21322, 3026, 584, 987, 5645, 593, 519, 960, 609, 513, 1507, 1297, 540, 2296, 20843, 267, 3001, 547, 5507, 538, 476, 3707, 279, 269, 21322, 3026, 584, 987, 630, 333, 19902, 1234, 573, 30937, 3563, 282, 476, 6245, 279, 1700, 2735, 277, 264, 729, 4535, 538, 4858, 12584, 577, 933, 580, 630, 30051, 264, 543, 6594, 693, 519, 2160, 540, 717, 7238, 339, 1154, 523, 269, 769, 476, 4572, 276, 1352, 3459, 960, 693, 519, 717, 525, 20635, 577, 10762, 338, 268, 3768, 654, 16630, 577, 10762, 8243, 5237, 538, 654, 1329, 630, 12892, 543, 9483, 7467, 540, 21499, 1040, 14066, 1239, 12531, 941, 12261, 538, 513, 2649, 1043, 543, 12300, 3308, 1106, 269, 8422, 16289, 1182, 1065, 11781, 1883, 6054, 269, 2701, 5532, 2930, 4966, 543, 8642, 9858, 607, 1134, 607, 519, 3077, 5304, 269, 11572, 7835, 538, 2342, 5129, 741, 851, 538, 922, 1646, 267, 543, 2504, 6410, 547, 519, 13814, 630, 4350, 275, 264, 543, 547, 4789, 630, 3707, 271, 1070, 1141, 519, 1772, 9189, 4659, 4797, 547, 3132, 960, 2394, 476, 3192, 272, 269, 1772, 9189, 960, 538, 4670, 543, 538, 8888, 585, 1453, 568, 4628, 13006, 543, 5941, 269, 21322, 1234, 573, 30937, 3563, 729, 4535, 538, 4858, 12584, 577, 933, 580, 267, 5125, 593, 476, 2767, 2904, 476, 6245, 279, 269, 769, 476, 3707, 271, 267, 607, 519, 4436, 7952, 22983, 519, 13814, 267, 1234, 573, 30937, 3563, 23012, 609, 3026, 584, 987, 547, 4789, 267, 1247, 1488, 660, 345, 18423, 3297, 538, 634, 670, 6558, 269, 0, 15014, 2839, 281, 476, 5392, 275, 7597, 274, 280, 1496, 23809, 910, 4994, 539, 585, 32212, 299, 12114, 316, 22910, 9537, 281, 6496, 19555, 7748, 5884, 538, 16452, 25260, 543, 519, 17400, 539, 1126, 286, 12518, 1205, 891, 5567, 689, 519, 5790, 543, 689, 519, 3037, 269, 769, 713, 3381, 267, 10334, 7905, 630, 23562, 7867, 281, 7711, 7804, 2662, 527, 2284, 295, 1245, 523, 264, 11828, 10250, 2609, 267, 1346, 2609, 2877, 1152, 538, 1507, 9424, 538, 2713, 7103, 269, 898, 729, 3964, 538, 476, 2735, 278, 607, 519, 4750, 540, 29895, 15689, 543, 5082, 26299, 5052, 538, 2657, 543, 2560, 30200, 616, 9286, 607, 2901, 2101, 610, 10250, 267, 4470, 2390, 519, 2179, 2838, 676, 519, 1560, 269, 4569, 269, 634, 10250, 2609, 602, 723, 513, 1808, 23020, 1599, 538, 519, 1480, 1560, 616, 16247, 267, 4401, 267, 20841, 267, 524, 28240, 267, 7601, 267, 13058, 267, 22670, 267, 544, 8432, 321, 6577, 636, 267, 11524, 616, 2838, 538, 4130, 9424, 543, 616, 3006, 269, 634, 4750, 540, 29895, 15689, 538, 6925, 543, 10334, 568, 513, 536, 30266, 628, 569, 9263, 24595, 2564, 4760, 8720, 519, 5107, 5129, 676, 10250, 2609, 538, 2564, 543, 6211, 1949, 269, 634, 1592, 540, 31120, 1644, 547, 808, 307, 4932, 289, 910, 4750, 540, 29895, 15689, 538, 6925, 543, 10334, 269, 9736, 476, 3707, 274, 590, 7950, 2473, 328, 267, 634, 11660, 3194, 27254, 5980, 6120, 976, 267, 22571, 267, 9211, 269, 1496, 306, 13850, 9655, 267, 589, 1744, 12609, 267, 717, 570, 2728, 330, 1457, 316, 20163, 476, 12553, 3607, 280, 273, 1547, 18909, 25080, 1763, 28585, 24919, 282, 15562, 305, 300, 5980, 540, 5274, 12754, 2494, 6162, 282, 15978, 21733, 1600, 16332, 32759, 8376, 15540, 282, 1644, 269, 1280, 2474, 543, 946, 267, 5225, 3277, 547, 938, 16301, 543, 17148, 3267, 11635, 267, 18664, 517, 267, 19695, 267, 22670, 267, 7601, 267, 13058, 267, 524, 28240, 267, 20841, 267, 544, 8432, 321, 6577, 636, 616, 1634, 607, 2890, 6886, 610, 10250, 2609, 543, 616, 2838, 676, 2371, 538, 1507, 5666, 269, 630, 313, 264, 285, 1556, 267, 1524, 547, 2694, 829, 2929, 630, 653, 332, 264, 2157, 1247, 623, 5456, 292, 568, 513, 14911, 4480, 543, 6087, 6213, 8990, 540, 2609, 909, 547, 2098, 269, 898, 729, 3964, 538, 476, 2735, 278, 607, 519, 4750, 540, 29895, 15689, 543, 5082, 26299, 5052, 538, 2657, 543, 8376, 267, 13844, 922, 1699, 9736, 1220, 271, 268, 1708, 272, 594, 8025, 288, 25605, 269, 13565, 4260, 11594, 540, 29895, 15689, 269, 10020, 540, 10250, 2609, 538, 513, 2713, 11248, 281, 476, 272, 269, 11957, 540, 29895, 15689, 538, 519, 5274, 10610, 269, 589, 10250, 3693, 568, 1022, 3114, 3693, 602, 568, 1459, 538, 8792, 5666, 538, 606, 1604, 610, 5117, 269, 476, 273, 269, 634, 9208, 2806, 12934, 2747, 630, 3041, 302, 275, 264, 540, 4750, 540, 29895, 15689, 538, 6925, 543, 10334, 568, 968, 297, 29895, 661, 12661, 2405, 22776, 6100, 3041, 302, 476, 275, 630, 22033, 543, 12319, 1107, 16390, 585, 519, 28008, 540, 2140, 1913, 543, 10643, 540, 12326, 264, 568, 606, 3486, 3044, 267, 10747, 513, 7833, 1062, 585, 519, 28008, 540, 17626, 8313, 10643, 269, 4728, 476, 1708, 272, 269, 2311, 922, 1034, 4909, 1377, 267, 1272, 568, 1500, 909, 540, 2339, 269, 634, 1985, 3184, 3096, 1239, 689, 8192, 12220, 538, 476, 2767, 2477, 547, 1865, 2409, 585, 12570, 8192, 2560, 634, 4750, 540, 29895, 15689, 538, 6925, 543, 10334, 568, 513, 536, 30266, 628, 569, 9263, 24595, 2564, 4760, 8720, 519, 5107, 5129, 676, 10250, 2609, 538, 2564, 543, 6211, 1949, 269, 4179, 2517, 4178, 7456, 604, 788, 3205, 320, 2593, 270, 6343, 268, 732, 13652, 576, 3887, 6123, 268, 1691, 7721, 3263, 8551, 543, 28299, 269, 17593, 634, 2962, 540, 2098, 597, 935, 1756, 630, 313, 337, 264, 593, 6211, 1949, 6799, 606, 679, 7950, 269, 634, 8545, 17663, 513, 1895, 540, 2609, 585, 799, 972, 616, 9867, 5232, 540, 2963, 547, 1489, 9422, 1898, 640, 1759, 593, 23020, 1599, 543, 14524, 1282, 19231, 538, 519, 2179, 2139, 585, 10338, 269, 32369, 18983, 3827, 269, 5775, 335, 2795, 700, 305, 267, 7605, 2581, 654, 299, 269, 3693, 1496, 601, 21485, 384, 499, 268, 618, 316, 476, 272, 269, 1022, 540, 519, 3119, 2694, 610, 23466, 540, 513, 3364, 269, 15618, 1635, 281, 590, 7950, 2473, 328, 267, 634, 11660, 3194, 27254, 5980, 267, 3367, 6732, 630, 10403, 264, 12346, 593, 2985, 18767, 267, 799, 616, 711, 4867, 2139, 547, 5496, 3988, 269, 538, 11864, 666, 723, 2185, 2489, 5107, 281, 630, 272, 264, 789, 666, 13789, 607, 5672, 668, 514, 5644, 267, 630, 273, 264, 789, 666, 7119, 538, 519, 3032, 4519, 540, 1895, 20675, 2536, 6547, 267, 630, 274, 264, 789, 666, 7119, 538, 16617, 1700, 516, 9134, 6547, 267, 610, 630, 275, 264, 789, 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, 5353, 529, 290, 3036, 298, 4702, 1374, 1353, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 763, 3804, 540, 1530, 529, 290, 3036, 298, 338, 568, 547, 1118, 21800, 543, 1071, 2000, 11343, 20381, 267, 2604, 267, 2837, 267, 31736, 1216, 7998, 543, 31736, 1216, 7350, 7403, 538, 519, 13837, 331, 3233, 269, 1284, 1616, 547, 1294, 519, 1507, 2621, 538, 519, 25610, 540, 519, 16004, 23346, 585, 1614, 4128, 281, 476, 272, 264, 2991, 606, 2680, 5714, 949, 2095, 538, 519, 5250, 538, 3210, 547, 519, 4657, 2566, 12512, 269, 13560, 547, 1018, 9588, 540, 2680, 798, 519, 2604, 1098, 1801, 538, 519, 1134, 4431, 286, 476, 273, 264, 29079, 2095, 3123, 1507, 16767, 269, 2290, 7271, 585, 1383, 568, 676, 4657, 519, 2837, 540, 519, 7725, 799, 4228, 543, 4579, 267, 19249, 519, 2566, 12512, 269, 1284, 1616, 547, 1413, 585, 713, 5714, 2095, 269, 476, 274, 264, 12524, 2090, 540, 4224, 22636, 1397, 602, 19852, 17795, 568, 28263, 676, 519, 1071, 2297, 12412, 540, 15025, 28995, 2890, 322, 13715, 799, 616, 4767, 607, 968, 659, 15064, 5434, 6100, 1635, 11093, 1164, 4908, 2520, 2684, 2158, 1985, 547, 24966, 621, 949, 581, 2009, 547, 7747, 891, 968, 659, 15064, 892, 840, 15479, 832, 547, 4224, 5821, 269, 4595, 538, 23854, 593, 2244, 1507, 2621, 2408, 538, 519, 4908, 6512, 476, 6110, 268, 8517, 13703, 267, 1100, 835, 814, 2943, 6836, 547, 7747, 873, 538, 30173, 12933, 269, 1530, 529, 290, 3036, 298, 338, 849, 1073, 341, 5573, 519, 9645, 2845, 6750, 267, 11889, 267, 543, 24999, 7965, 2404, 609, 20319, 513, 15246, 6928, 547, 2196, 15558, 966, 9915, 338, 269, 1284, 17251, 547, 1376, 609, 513, 968, 30344, 532, 24829, 892, 1530, 529, 290, 3036, 298, 12122, 9967, 540, 2185, 1614, 16327, 9426, 521, 1180, 525, 693, 476, 2004, 332, 9668, 22485, 593, 519, 3544, 540, 476, 275, 269, 276, 514, 524, 2084, 630, 528, 16590, 10612, 264, 3330, 476, 1015, 268, 274, 270, 275, 514, 524, 2084, 563, 22296, 2248, 539, 27375, 3721, 1156, 267, 681, 1421, 8891, 339, 580, 4319, 267, 570, 1421, 1299, 8891, 8636, 267, 681, 269, 630, 1220, 277, 1040, 1530, 529, 290, 3036, 298, 4702, 1374, 1353, 269, 28418, 670, 1961, 7909, 4919, 26323, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14991, 276, 270, 4489, 273, 270, 14138, 280, 454, 4537, 12976, 3688, 1644, 676, 2140, 267, 2278, 267, 17082, 543, 1641, 563, 16987, 14939, 543, 17688, 1670, 10148, 593, 519, 18212, 1108, 267, 4720, 267, 543, 27327, 540, 519, 12776, 14459, 693, 30173, 10825, 7740, 632, 32354, 267, 20574, 808, 269, 630, 22709, 11637, 4659, 540, 5303, 543, 28418, 670, 1961, 7909, 4919, 26323, 267, 476, 1220, 278, 268, 6349, 264, 302, 4117, 545, 10825, 7740, 616, 4609, 540, 4012, 15122, 267, 29684, 267, 543, 8652, 31516, 3157, 269, 769, 713, 5098, 594, 1459, 8097, 543, 17688, 1670, 10148, 593, 519, 4720, 540, 891, 1950, 4525, 540, 5059, 12933, 531, 4429, 289, 665, 935, 3250, 328, 267, 1325, 612, 663, 549, 282, 7137, 974, 14513, 267, 28741, 744, 5919, 15537, 267, 25453, 589, 269, 630, 24841, 338, 670, 1961, 7909, 4919, 26323, 267, 476, 1960, 272, 268, 1015, 264, 763, 8899, 22039, 3600, 15064, 1530, 1143, 545, 15331, 630, 299, 293, 17955, 264, 729, 5342, 547, 2268, 3280, 18640, 543, 19355, 6846, 1657, 267, 693, 543, 2630, 519, 4262, 6989, 269, 1677, 713, 1439, 606, 5044, 9967, 540, 2185, 2520, 25869, 9136, 729, 5189, 4429, 299, 26820, 267, 18708, 282, 645, 2075, 990, 545, 328, 267, 6424, 630, 23682, 5112, 2160, 4964, 267, 476, 1001, 279, 268, 5881, 268, 2764, 264, 294, 553, 13441, 538, 15027, 31026, 1080, 568, 1419, 2404, 609, 1279, 12656, 1675, 14251, 725, 1634, 607, 20381, 12152, 528, 630, 299, 525, 720, 1696, 620, 5919, 715, 1228, 879, 1696, 620, 12175, 769, 713, 1353, 267, 649, 30603, 543, 8831, 519, 2048, 332, 698, 2742, 530, 698, 3101, 685, 663, 2048, 3369, 26325, 6557, 617, 1564, 585, 20381, 3267, 0, 25332, 969, 725, 540, 3327, 13143, 676, 1507, 29855, 5536, 538, 519, 5580, 8544, 641, 601, 20723, 454, 291, 584, 7219, 267, 2051, 22220, 589, 563, 15307, 23981, 267, 20152, 700, 563, 289, 1132, 1088, 518, 267, 8230, 744, 563, 18404, 20631, 17004, 2407, 6221, 2594, 454, 27793, 543, 5567, 616, 16487, 856, 540, 519, 2627, 5836, 543, 3524, 652, 1229, 693, 3178, 676, 29855, 5536, 269, 590, 9722, 9325, 7306, 12732, 1082, 9753, 540, 9588, 543, 519, 3448, 3310, 540, 1507, 5536, 593, 3327, 13143, 3379, 547, 1804, 5536, 814, 711, 1044, 17251, 269, 1677, 3313, 519, 3310, 540, 9325, 2450, 593, 3327, 13143, 267, 519, 13441, 540, 1312, 1507, 630, 1556, 1700, 5038, 32755, 264, 543, 1804, 630, 285, 476, 5038, 32755, 264, 5536, 538, 519, 5580, 8544, 641, 601, 20723, 729, 8947, 1282, 476, 276, 2267, 2478, 540, 519, 645, 1069, 19085, 9533, 5384, 10022, 630, 289, 2969, 306, 264, 538, 519, 590, 1173, 27591, 7256, 1210, 22011, 958, 26255, 656, 11159, 20637, 15841, 609, 13740, 5627, 4874, 659, 787, 4594, 728, 15074, 6106, 543, 13740, 5627, 513, 8914, 539, 1490, 710, 4494, 269, 3487, 2873, 941, 849, 6394, 538, 2627, 2389, 9220, 1042, 267, 1863, 1922, 5979, 908, 20637, 693, 2362, 3327, 13441, 6753, 538, 519, 9341, 543, 31210, 3162, 9533, 7909, 269, 3487, 1834, 7306, 17364, 1614, 9753, 540, 9588, 941, 17251, 538, 15074, 5439, 267, 3769, 29855, 5536, 607, 1507, 607, 476, 1556, 32755, 269, 2311, 645, 2969, 306, 267, 519, 1297, 13441, 540, 1507, 5536, 22157, 547, 2333, 609, 3178, 267, 6466, 519, 1297, 13441, 540, 1804, 5536, 22157, 547, 6175, 609, 3178, 269, 634, 3327, 1543, 540, 1114, 21092, 5536, 1223, 711, 581, 24018, 676, 513, 2582, 1305, 540, 6724, 1317, 519, 9325, 5888, 9867, 2066, 6753, 543, 936, 942, 269, 634, 24018, 3327, 13441, 676, 1507, 5536, 693, 645, 2969, 306, 267, 1519, 782, 5439, 543, 17909, 267, 729, 476, 4375, 13008, 476, 736, 260, 540, 519, 24018, 2698, 3327, 13441, 267, 543, 519, 6871, 2799, 609, 3178, 538, 476, 275, 856, 540, 519, 476, 276, 3275, 25541, 269, 1452, 2164, 5815, 602, 1507, 5536, 630, 283, 476, 5038, 32755, 264, 616, 8362, 23928, 538, 519, 1216, 6241, 543, 616, 606, 1271, 23784, 547, 3327, 13441, 2429, 519, 8544, 641, 601, 20723, 269, 17325, 725, 543, 3631, 602, 26777, 891, 5536, 786, 30391, 519, 7299, 13441, 540, 5214, 2339, 538, 519, 5836, 563, 15100, 634, 8191, 4433, 1070, 476, 1001, 276, 269, 901, 2376, 568, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 269, 634, 17046, 4528, 729, 3370, 538, 13149, 11061, 476, 11260, 630, 1001, 276, 2567, 476, 7761, 268, 10037, 267, 8222, 281, 1015, 269, 6200, 277, 10768, 6230, 2117, 1335, 269, 1001, 276, 269, 6349, 269, 18733, 563, 22296, 2248, 539, 27375, 11321, 710, 11061, 476, 11260, 630, 1001, 276, 2567, 476, 7761, 268, 10037, 454, 763, 1739, 12689, 6119, 616, 2404, 609, 713, 6221, 912, 2750, 1061, 1141, 6382, 7074, 267, 713, 6221, 781, 12689, 568, 4330, 607, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 4139, 454, 4537, 12976, 3688, 1644, 676, 2140, 267, 2278, 267, 17082, 543, 1641, 563, 2419, 5190, 538, 32740, 10652, 2280, 4162, 609, 3178, 607, 10832, 540, 18186, 25762, 1065, 871, 1645, 540, 5536, 538, 519, 8544, 641, 601, 20723, 7997, 540, 519, 31210, 543, 1016, 541, 8157, 3345, 7414, 7909, 14355, 267, 5153, 7315, 773, 661, 5919, 23415, 6199, 267, 1546, 4011, 1695, 918, 5919, 645, 1132, 1088, 518, 267, 8230, 744, 269, 630, 1220, 279, 268, 4905, 268, 4029, 264, 2171, 11567, 875, 32740, 10652, 2280, 4162, 1689, 609, 3178, 538, 1931, 547, 22945, 519, 6708, 540, 9325, 1065, 871, 1645, 676, 8544, 641, 601, 20723, 18186, 25762, 538, 1079, 17804, 1930, 27984, 4117, 1949, 269, 7698, 689, 22011, 958, 26255, 656, 4429, 306, 539, 2939, 15972, 15074, 2592, 540, 12306, 5536, 602, 941, 6394, 689, 519, 590, 1173, 27591, 7256, 1063, 476, 1001, 274, 543, 476, 1001, 275, 269, 6480, 23981, 267, 20152, 700, 5919, 645, 1132, 1088, 518, 267, 26366, 996, 744, 269, 630, 289, 8344, 543, 11906, 7909, 2762, 4578, 5004, 8433, 630, 289, 4596, 5937, 19616, 1040, 13555, 281, 18078, 17106, 11333, 3820, 267, 476, 1001, 279, 268, 6860, 268, 2190, 264, 306, 9722, 9325, 7306, 12732, 1082, 9753, 540, 9588, 543, 519, 3448, 3310, 540, 1507, 5536, 593, 3327, 13143, 3379, 547, 1804, 5536, 814, 711, 1044, 17251, 269, 1677, 3313, 519, 3310, 540, 9325, 2450, 593, 3327, 4429, 17471, 10411, 15297, 540, 9325, 1979, 18240, 2541, 267, 2450, 3892, 267, 543, 3327, 13143, 13441, 689, 519, 12119, 552, 25045, 5328, 7997, 543, 5021, 5162, 942, 6404, 4494, 689, 9325, 12632, 5342, 1282, 2267, 2478, 689, 476, 1220, 279, 547, 476, 1708, 271, 645, 1014, 14024, 267, 8355, 773, 548, 282, 595, 6123, 267, 12253, 630, 289, 8344, 543, 11906, 7909, 2762, 4578, 5004, 8433, 630, 289, 4596, 5937, 19616, 1040, 13555, 281, 4757, 11333, 2593, 267, 476, 1708, 272, 268, 5400, 268, 6349, 264, 17471, 10411, 15297, 540, 9325, 1979, 18240, 2541, 267, 2450, 3892, 267, 543, 3327, 13143, 13441, 689, 519, 12119, 552, 25045, 5328, 7997, 543, 5021, 5162, 942, 6404, 4494, 269, 0, 2691, 4095, 11788, 10579, 715, 732, 526, 571, 3525, 328, 779, 2229, 796, 559, 831, 958, 2847, 12097, 519, 3908, 13190, 543, 1533, 3125, 540, 4095, 14194, 3439, 1229, 22758, 538, 476, 1001, 280, 267, 621, 10645, 519, 1847, 1131, 26763, 856, 5756, 540, 11439, 1202, 4026, 1890, 538, 519, 3148, 267, 543, 721, 615, 538, 4708, 543, 1646, 563, 4913, 267, 5176, 1614, 1296, 2663, 267, 4708, 814, 711, 1044, 6913, 538, 519, 31713, 22615, 18885, 14860, 3148, 267, 609, 2282, 1673, 2905, 6146, 902, 540, 1202, 4026, 757, 267, 4095, 3354, 8387, 543, 21127, 538, 23001, 2074, 563, 2026, 22758, 328, 27734, 3068, 6098, 6146, 902, 267, 7366, 540, 1004, 19679, 519, 14860, 538, 519, 2034, 3368, 540, 476, 1708, 273, 269, 11531, 811, 982, 476, 1911, 22758, 328, 25881, 267, 6140, 31655, 9907, 1063, 476, 1240, 543, 476, 2918, 723, 1044, 7166, 676, 519, 4095, 7128, 543, 4108, 563, 763, 25881, 616, 15034, 540, 11318, 693, 2547, 476, 1626, 1004, 713, 1032, 267, 5722, 540, 873, 10362, 547, 519, 12102, 9699, 2146, 563, 7712, 519, 2847, 6327, 540, 519, 2027, 4567, 540, 4095, 14194, 3439, 1229, 22758, 593, 4864, 476, 276, 267, 476, 1001, 280, 267, 5638, 2161, 693, 2547, 476, 3192, 3354, 10986, 267, 476, 277, 4037, 22758, 328, 25881, 543, 476, 14530, 21127, 723, 5747, 538, 519, 5951, 540, 5208, 602, 814, 25626, 998, 519, 14860, 563, 763, 32117, 5951, 540, 5208, 814, 19430, 13915, 547, 1448, 547, 519, 5821, 540, 519, 3525, 328, 2229, 779, 1065, 4809, 4507, 1996, 519, 2197, 779, 1152, 7332, 2173, 1994, 640, 3148, 563, 8072, 763, 32238, 1152, 2620, 839, 8730, 2797, 24319, 29499, 593, 6751, 3525, 328, 267, 1310, 4947, 547, 1379, 538, 476, 1001, 275, 563, 20751, 3275, 540, 1010, 556, 3887, 3005, 267, 4095, 14194, 3439, 1229, 22758, 729, 4174, 5529, 540, 922, 9864, 13190, 267, 5258, 883, 1079, 5313, 11182, 543, 896, 519, 1463, 1852, 540, 1715, 16156, 779, 3844, 2229, 563, 763, 1847, 547, 2847, 5803, 519, 3908, 13190, 540, 4095, 14194, 3439, 1229, 22758, 729, 20483, 676, 606, 13778, 4108, 17293, 267, 1818, 621, 835, 540, 519, 1034, 2113, 10560, 2065, 4525, 538, 519, 1158, 563, 2026, 851, 540, 519, 1065, 4809, 3800, 13684, 676, 3525, 328, 779, 2229, 538, 519, 1964, 633, 3148, 267, 7366, 540, 14761, 1519, 5449, 8783, 26110, 267, 2924, 15628, 267, 17864, 267, 543, 1053, 941, 18486, 269, 11531, 519, 3354, 9505, 6658, 538, 519, 14860, 4797, 585, 3275, 563, 288, 1007, 2531, 545, 850, 1876, 729, 5189, 602, 2636, 16080, 11107, 547, 7017, 18385, 538, 4095, 14194, 3439, 1229, 22758, 269, 901, 1318, 2417, 12651, 4145, 827, 15295, 1689, 543, 25197, 725, 540, 968, 3553, 339, 2401, 7810, 3785, 892, 538, 519, 3148, 563, 9556, 328, 779, 2229, 849, 5950, 513, 2699, 525, 11220, 1592, 540, 14218, 4293, 538, 519, 3148, 267, 799, 3947, 3152, 6041, 547, 9699, 13102, 269, 634, 1847, 814, 6537, 9880, 689, 11685, 6105, 945, 934, 2224, 1715, 16156, 540, 968, 4621, 25378, 892, 538, 519, 3148, 547, 14020, 12356, 563, 763, 1847, 676, 3525, 328, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3366, 547, 8902, 11934, 543, 15777, 1216, 2959, 267, 30364, 1312, 519, 1604, 543, 2199, 7320, 5095, 780, 7437, 16177, 543, 11428, 267, 6341, 543, 5981, 7152, 519, 1379, 540, 3621, 7279, 543, 27265, 538, 5466, 1483, 8996, 2591, 269, 1635, 5807, 1620, 267, 5698, 267, 543, 3743, 2853, 267, 789, 21490, 519, 1259, 585, 2104, 5481, 540, 3048, 2209, 8149, 547, 2870, 513, 4264, 1158, 585, 782, 2713, 7919, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 9223, 281, 1548, 568, 713, 2186, 540, 4367, 543, 4483, 1031, 585, 888, 12585, 281, 2480, 17850, 543, 11709, 8053, 16331, 630, 3192, 278, 264, 24370, 2213, 602, 519, 23621, 9842, 13232, 1223, 581, 513, 2067, 6152, 585, 10962, 519, 715, 604, 5444, 3743, 585, 9436, 30651, 538, 519, 3597, 12162, 2737, 540, 22053, 543, 824, 2030, 2249, 563, 1772, 519, 2243, 12943, 538, 513, 25685, 6752, 888, 12585, 281, 634, 4367, 543, 4483, 5018, 538, 519, 2243, 3277, 547, 513, 4480, 1031, 538, 4719, 4702, 5473, 519, 946, 540, 519, 23621, 9842, 13232, 607, 513, 6152, 547, 4483, 1808, 6090, 267, 971, 607, 519, 715, 604, 5444, 3743, 585, 9436, 30651, 267, 883, 519, 3597, 12162, 2737, 540, 22053, 543, 824, 2030, 2249, 269, 901, 1184, 568, 1634, 607, 4719, 7004, 543, 814, 1713, 3156, 538, 519, 2361, 540, 6683, 543, 2030, 24684, 780, 763, 23621, 630, 339, 32214, 11897, 1424, 264, 9842, 13232, 568, 513, 1804, 9764, 4062, 540, 5027, 1336, 538, 930, 12490, 540, 3397, 13681, 1461, 1756, 267, 513, 3037, 24059, 269, 1879, 3397, 13681, 1461, 1756, 3468, 338, 513, 2030, 267, 621, 19132, 513, 851, 540, 922, 23621, 9842, 13232, 267, 1572, 519, 570, 5937, 2793, 630, 10520, 2536, 516, 10640, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2241, 547, 4194, 568, 3551, 547, 2638, 267, 1317, 782, 596, 3580, 1616, 547, 798, 568, 8207, 519, 1966, 547, 1491, 513, 1413, 563, 2467, 616, 28365, 2042, 267, 2705, 269, 2859, 982, 1152, 519, 2626, 267, 596, 991, 547, 1174, 875, 547, 798, 519, 3390, 269, 1703, 779, 1776, 3390, 1932, 563, 19617, 2730, 8728, 616, 1079, 610, 1614, 8728, 602, 1921, 519, 5730, 1482, 1079, 14622, 269, 5269, 1978, 602, 596, 3442, 519, 5078, 2427, 13080, 585, 1142, 13551, 269, 19227, 621, 568, 1572, 513, 30890, 3113, 563, 2791, 786, 1205, 513, 3903, 540, 2042, 602, 2154, 1983, 538, 12980, 269, 898, 3947, 596, 513, 8101, 6316, 269, 1677, 2253, 609, 267, 789, 1118, 606, 4674, 547, 4308, 609, 3347, 12799, 563, 21809, 2065, 2103, 1265, 7694, 538, 513, 1804, 1297, 540, 4610, 269, 1358, 2671, 930, 2565, 7907, 269, 15043, 5813, 666, 581, 2352, 563, 763, 6671, 2985, 1641, 568, 707, 9030, 1907, 547, 2721, 1007, 14666, 689, 3406, 1592, 902, 543, 849, 547, 948, 707, 1699, 3755, 547, 1265, 519, 1880, 3817, 789, 666, 991, 269, 634, 10959, 1788, 568, 7508, 3875, 1898, 4773, 269, 634, 8228, 1297, 616, 2139, 693, 519, 3490, 540, 519, 2546, 593, 519, 824, 2427, 540, 519, 2140, 2985, 269, 0, 296, 6557, 1419, 4280, 519, 2243, 267, 968, 1432, 779, 519, 1292, 3017, 1063, 606, 13128, 8713, 4338, 3684, 543, 513, 2834, 8713, 4338, 3684, 286, 5608, 865, 538, 713, 2022, 594, 3580, 2482, 856, 547, 2491, 519, 3119, 3604, 563, 5575, 594, 3580, 1533, 602, 594, 4076, 2141, 9289, 519, 4128, 1004, 538, 519, 1870, 4043, 547, 1289, 606, 12747, 8713, 4338, 3684, 1945, 16310, 1018, 4010, 621, 568, 1107, 606, 13128, 8713, 4338, 3684, 269, 1411, 786, 1419, 5873, 1004, 1289, 891, 12204, 540, 6191, 6673, 4338, 6191, 610, 16790, 6261, 4338, 6191, 269, 594, 1589, 713, 568, 3361, 676, 513, 3765, 24483, 689, 519, 27099, 8713, 4338, 269, 8713, 4338, 1797, 23120, 15474, 5794, 3118, 16242, 267, 10834, 602, 2011, 2604, 568, 2469, 547, 581, 9447, 11179, 998, 519, 3003, 12008, 4783, 269, 634, 2262, 8713, 4338, 267, 2705, 267, 3085, 1406, 17538, 602, 519, 11179, 9447, 2011, 786, 581, 693, 513, 3586, 2604, 269, 4475, 267, 519, 1697, 2165, 585, 22614, 507, 350, 419, 506, 510, 418, 372, 361, 420, 358, 355, 799, 8850, 4188, 338, 519, 2566, 4259, 2687, 547, 707, 2115, 568, 13128, 8713, 4338, 3684, 563, 288, 8713, 4338, 3684, 729, 2813, 547, 9514, 2011, 998, 707, 13148, 29572, 539, 21572, 865, 602, 596, 666, 1205, 7759, 540, 519, 25518, 543, 547, 1450, 596, 547, 13236, 7363, 269, 1548, 1082, 2043, 1289, 968, 10585, 892, 8713, 4338, 6191, 798, 713, 676, 25738, 2011, 693, 513, 3586, 2604, 998, 519, 3003, 3781, 267, 1100, 2339, 2436, 596, 2461, 7680, 606, 19103, 1107, 610, 29696, 540, 7244, 1107, 610, 6382, 563, 2304, 13128, 8713, 4338, 3684, 1281, 711, 8415, 513, 3586, 2604, 269, 13298, 267, 519, 3684, 568, 2966, 547, 2631, 707, 7244, 998, 519, 946, 540, 513, 2604, 5955, 3926, 269, 1403, 519, 3684, 12823, 596, 1522, 581, 7244, 1134, 267, 519, 9447, 2604, 786, 2693, 581, 2539, 269, 2201, 519, 824, 1688, 267, 950, 519, 3684, 12823, 596, 2461, 711, 7244, 1134, 1107, 799, 568, 267, 538, 519, 2680, 621, 12823, 606, 19103, 267, 3834, 641, 12795, 610, 2879, 1681, 1107, 519, 9447, 2604, 786, 581, 2362, 563, 10303, 1034, 1004, 945, 723, 3207, 19103, 13236, 7363, 585, 827, 930, 1858, 540, 519, 3781, 267, 621, 6763, 547, 2601, 799, 513, 3586, 2604, 568, 2356, 11991, 585, 2500, 8713, 4338, 3797, 269, 4201, 11703, 8713, 4338, 6191, 5838, 5111, 476, 2412, 260, 1447, 2604, 2429, 519, 1576, 540, 513, 3781, 3379, 609, 513, 8713, 4338, 3684, 799, 3091, 513, 3586, 2604, 269, 901, 4389, 2604, 2337, 596, 547, 2333, 3461, 4313, 543, 10220, 543, 2306, 8713, 4338, 3797, 811, 7109, 762, 585, 1007, 8713, 4338, 3755, 563, 1103, 2013, 707, 11311, 2604, 4259, 568, 9425, 1970, 1107, 896, 476, 1015, 4699, 670, 273, 302, 1107, 519, 1883, 4324, 689, 513, 2780, 1242, 8713, 4338, 3684, 1522, 711, 581, 519, 4389, 3328, 2604, 267, 18562, 621, 949, 1175, 581, 602, 596, 3274, 1810, 1406, 991, 547, 5855, 827, 14577, 707, 2604, 4259, 2663, 593, 269, 589, 2780, 1242, 8713, 4338, 3684, 12303, 18715, 596, 949, 581, 3478, 6099, 8713, 4338, 3797, 28000, 540, 2242, 538, 707, 1966, 563, 13436, 547, 1034, 8713, 4338, 6191, 267, 13128, 8713, 4338, 6191, 616, 1500, 547, 5838, 2011, 2604, 1063, 476, 275, 4699, 670, 273, 302, 543, 476, 736, 4699, 670, 273, 302, 269, 4438, 519, 3355, 14764, 538, 519, 3684, 519, 5934, 543, 5021, 12503, 568, 2469, 547, 581, 1305, 269, 15394, 9949, 4259, 540, 476, 275, 4699, 670, 273, 302, 607, 519, 5934, 2604, 543, 476, 736, 4699, 670, 273, 302, 607, 519, 5021, 2604, 666, 581, 1031, 269, 1717, 267, 538, 2013, 707, 11311, 2604, 4259, 568, 1134, 1657, 476, 1015, 4699, 670, 273, 302, 1287, 7393, 519, 5934, 2604, 1522, 1118, 2631, 269, 594, 1131, 13948, 3335, 4363, 9001, 519, 9949, 5934, 543, 5021, 2604, 5468, 607, 891, 5468, 786, 11863, 585, 519, 5021, 3328, 2604, 5786, 607, 1134, 607, 519, 5207, 4110, 540, 3461, 4313, 563, 5194, 5140, 4324, 540, 13128, 8713, 4338, 6191, 568, 519, 1249, 602, 789, 2461, 2731, 1079, 6191, 538, 513, 2582, 269, 1411, 1205, 513, 8713, 4338, 3684, 799, 4188, 338, 2604, 8850, 267, 4061, 596, 3489, 513, 3684, 799, 666, 581, 1305, 547, 5838, 513, 3586, 2604, 2147, 547, 513, 2834, 8713, 4338, 3684, 269, 901, 8112, 538, 10342, 568, 782, 1005, 547, 1082, 8713, 4338, 3755, 267, 2523, 547, 2043, 945, 616, 1210, 8713, 4338, 3937, 519, 1101, 942, 563, 763, 1079, 1292, 5686, 540, 19103, 1107, 3844, 543, 30126, 269, 6239, 3207, 19103, 4386, 1813, 547, 513, 14524, 1369, 519, 555, 31726, 851, 540, 519, 2634, 267, 1247, 30126, 19103, 4386, 1317, 540, 606, 29572, 539, 21572, 269, 8713, 4338, 6191, 616, 2813, 547, 1930, 519, 21572, 585, 2550, 945, 616, 7092, 689, 30126, 30126, 3207, 19103, 267, 855, 8713, 4338, 6191, 1223, 723, 1100, 1198, 593, 533, 1794, 321, 341, 331, 30126, 3207, 19103, 269, 2368, 13128, 8713, 4338, 6191, 899, 519, 8830, 11939, 26999, 9116, 476, 22213, 292, 666, 3713, 3284, 928, 553, 799, 2049, 609, 543, 1510, 13487, 15259, 1017, 331, 725, 538, 1931, 547, 2057, 7393, 519, 2604, 1282, 3844, 19103, 2621, 13296, 519, 21572, 568, 2907, 1930, 269, 6684, 267, 4359, 22614, 507, 350, 419, 506, 510, 419, 359, 496, 418, 479, 363, 419, 501, 485, 666, 849, 16174, 1063, 3844, 543, 30126, 3834, 641, 12795, 630, 6518, 568, 3989, 607, 13719, 7244, 1916, 19350, 568, 2965, 513, 15059, 540, 519, 2640, 540, 1210, 606, 13128, 8713, 4338, 3684, 912, 7343, 6918, 2954, 476, 2412, 260, 2949, 7771, 538, 9447, 2604, 454, 5591, 10421, 547, 6161, 3054, 609, 14577, 513, 11173, 2604, 607, 519, 2783, 2242, 454, 293, 2716, 2225, 1107, 519, 3937, 666, 581, 1305, 547, 13128, 7154, 610, 3586, 7154, 454, 5278, 13128, 6191, 3713, 519, 3017, 1063, 30126, 3284, 928, 553, 270, 1506, 16647, 928, 553, 543, 3844, 3284, 928, 553, 270, 1506, 16647, 928, 553, 269, 0, 18183, 6748, 9293, 538, 2296, 5678, 269, 5131, 7335, 10756, 19119, 540, 16410, 12237, 454, 1556, 269, 16410, 12237, 6970, 1081, 454, 17829, 609, 11178, 2042, 1058, 2057, 4189, 1804, 5666, 540, 22648, 269, 898, 15936, 609, 519, 13938, 903, 10338, 540, 22752, 267, 2877, 676, 519, 11178, 14189, 269, 901, 10039, 547, 782, 16961, 26448, 557, 1326, 1963, 269, 634, 10448, 568, 513, 4558, 5264, 540, 20239, 12950, 338, 899, 555, 328, 30662, 919, 267, 967, 1961, 274, 8364, 16535, 565, 267, 561, 1393, 514, 267, 18410, 1314, 13183, 514, 267, 521, 592, 1721, 7469, 2033, 267, 543, 568, 1054, 328, 30662, 919, 269, 1452, 7135, 616, 3532, 14434, 543, 1634, 547, 948, 2149, 1996, 6089, 267, 3935, 267, 543, 17150, 11871, 543, 948, 2569, 25928, 610, 3983, 8501, 2157, 538, 519, 1973, 563, 1321, 269, 2657, 11588, 454, 4692, 1356, 6604, 25568, 782, 824, 2127, 540, 1072, 1382, 609, 2543, 547, 22648, 543, 922, 14222, 2640, 269, 2859, 982, 476, 275, 4037, 2090, 723, 8947, 519, 1909, 540, 713, 16961, 26448, 10448, 538, 2860, 6604, 630, 663, 538, 930, 2665, 267, 2860, 2126, 1040, 634, 22464, 540, 22648, 538, 2860, 6604, 568, 1813, 547, 519, 1614, 1114, 2010, 540, 8770, 17381, 1336, 538, 713, 4922, 10150, 1426, 269, 634, 1614, 2010, 616, 630, 272, 264, 15934, 17381, 267, 630, 273, 264, 4550, 514, 11987, 17381, 267, 543, 630, 274, 264, 17381, 538, 6722, 657, 26096, 919, 563, 1724, 269, 4165, 9171, 656, 16665, 2657, 11588, 454, 290, 629, 12237, 19486, 538, 938, 18040, 15933, 338, 12773, 1062, 607, 606, 5140, 2707, 540, 6171, 595, 543, 513, 1360, 1434, 2707, 540, 22670, 269, 1809, 538, 2474, 540, 14434, 538, 519, 18960, 267, 32443, 2023, 22021, 7121, 267, 22648, 568, 11141, 267, 1256, 1851, 16961, 26448, 5388, 269, 2717, 2988, 1156, 11169, 7584, 693, 519, 1283, 540, 519, 1592, 585, 32443, 2023, 22021, 14434, 538, 22648, 269, 769, 1249, 267, 835, 1895, 540, 3173, 814, 4330, 25168, 1156, 11169, 607, 519, 3119, 3815, 538, 9348, 321, 1137, 2949, 15934, 4390, 269, 4634, 3043, 22648, 630, 320, 1360, 21066, 3712, 1819, 1106, 540, 3039, 22648, 543, 519, 1034, 4122, 13881, 3099, 540, 22648, 538, 519, 772, 2529, 4700, 2488, 827, 476, 2004, 31501, 540, 25168, 1156, 11169, 538, 513, 3368, 24189, 7674, 269, 4414, 22648, 568, 1256, 811, 2189, 1851, 519, 16961, 26448, 5388, 538, 3246, 827, 476, 1789, 31501, 540, 519, 2699, 20119, 25168, 1156, 11169, 1572, 16320, 30662, 1231, 538, 1142, 3368, 7484, 563, 1691, 269, 3794, 1075, 657, 26096, 919, 543, 9435, 10644, 454, 11693, 519, 5107, 540, 19842, 2566, 543, 5312, 6553, 607, 1981, 2188, 585, 2860, 267, 519, 15934, 543, 4550, 514, 11987, 17381, 540, 22648, 1131, 1683, 1884, 4618, 1356, 1072, 2640, 1510, 519, 1840, 540, 9348, 321, 1137, 6722, 657, 26096, 919, 269, 1809, 6722, 657, 26096, 919, 616, 9348, 321, 1137, 25041, 3556, 609, 2543, 547, 1884, 4618, 1356, 2640, 269, 634, 6722, 657, 26096, 919, 1336, 538, 22648, 666, 581, 10736, 883, 568, 1054, 328, 30662, 622, 7135, 602, 616, 2860, 15324, 585, 513, 3099, 540, 1114, 11871, 267, 1519, 15485, 2860, 267, 6089, 2860, 267, 3935, 2860, 267, 543, 17150, 2860, 563, 1428, 269, 6226, 24304, 570, 847, 8081, 454, 16524, 652, 21521, 538, 1072, 1382, 568, 519, 1909, 540, 22648, 10433, 538, 4543, 12115, 7181, 21385, 630, 21406, 890, 10364, 21385, 1070, 855, 811, 2487, 2090, 593, 22648, 723, 6743, 693, 519, 2949, 1072, 2640, 540, 713, 1426, 585, 519, 7181, 543, 9667, 8778, 607, 513, 2898, 269, 10558, 1485, 2090, 1118, 621, 2312, 602, 22648, 3568, 513, 3099, 540, 5567, 540, 1761, 4324, 547, 938, 7181, 543, 15499, 13274, 902, 269, 1452, 5567, 1331, 6722, 657, 26096, 919, 630, 663, 519, 4550, 514, 11987, 568, 1054, 328, 30662, 919, 610, 8668, 12336, 1500, 689, 873, 1070, 15934, 25168, 1156, 11169, 267, 543, 519, 11254, 3679, 3697, 6219, 1572, 22965, 8533, 269, 769, 519, 2013, 540, 8668, 12336, 267, 9667, 8778, 2640, 1331, 1697, 7939, 540, 9190, 5095, 540, 4477, 545, 14385, 28894, 9461, 3330, 519, 7181, 269, 1452, 4551, 616, 3339, 7181, 11317, 267, 855, 741, 5095, 666, 1831, 1932, 1804, 543, 789, 666, 561, 2255, 5196, 519, 7181, 16298, 538, 606, 24379, 1259, 269, 634, 8668, 12336, 1500, 689, 9348, 321, 1137, 6722, 657, 26096, 919, 666, 2539, 519, 1981, 540, 891, 13311, 7181, 2621, 563, 1626, 269, 31292, 8081, 454, 290, 629, 12237, 547, 1683, 707, 9025, 1062, 609, 3407, 1489, 538, 519, 1106, 540, 8501, 5786, 269, 12824, 1174, 4010, 875, 713, 1184, 3217, 1747, 269, 2659, 6797, 3096, 8501, 607, 513, 2596, 2679, 3625, 547, 3132, 23925, 7408, 269, 645, 850, 7408, 616, 7463, 6675, 602, 5351, 538, 519, 12536, 543, 10338, 540, 3170, 998, 513, 1184, 1572, 900, 6160, 2305, 269, 1452, 6675, 616, 3335, 6740, 538, 5714, 1106, 538, 707, 7086, 15485, 267, 543, 950, 596, 3548, 513, 3170, 935, 8877, 7594, 267, 789, 1205, 5950, 883, 519, 16892, 1141, 789, 948, 4712, 519, 3170, 585, 5872, 609, 11476, 543, 22638, 10338, 909, 883, 519, 1560, 269, 1879, 596, 3548 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15170, 1870, 568, 1869, 1762, 543, 849, 7361, 29252, 269, 901, 9000, 540, 10421, 666, 6318, 2152, 7282, 1085, 4461, 267, 3454, 17185, 546, 617, 3101, 267, 14590, 267, 543, 811, 3102, 2804, 6617, 269, 898, 949, 11338, 26343, 519, 2702, 540, 15395, 8492, 547, 14574, 13075, 3609, 676, 1797, 540, 4971, 540, 519, 6666, 3761, 563, 19284, 2834, 19728, 602, 946, 4773, 607, 1134, 607, 4967, 267, 19116, 616, 1152, 2220, 11474, 2228, 1818, 946, 540, 1587, 3515, 540, 2780, 3009, 269, 1358, 7118, 15170, 803, 618, 657, 538, 2744, 585, 741, 3646, 563, 763, 1871, 540, 513, 15170, 5673, 593, 922, 1378, 2707, 543, 849, 3747, 269, 1403, 513, 1268, 11099, 602, 519, 15170, 786, 9090, 2333, 538, 4502, 267, 789, 1522, 6718, 621, 585, 5092, 5301, 563, 2005, 568, 2965, 513, 1826, 540, 9304, 454, 288, 1106, 540, 1770, 540, 9304, 568, 513, 3656, 13035, 602, 814, 513, 2883, 4502, 269, 898, 1223, 581, 1500, 946, 540, 547, 6718, 3435, 607, 1134, 607, 3688, 267, 610, 547, 4558, 4502, 269, 898, 666, 581, 2168, 610, 2228, 267, 543, 849, 666, 581, 20483, 998, 513, 5313, 2229, 610, 3844, 4871, 269, 2755, 11113, 941, 950, 519, 1883, 5420, 540, 1770, 540, 9304, 267, 535, 9332, 2724, 1360, 4166, 2655, 21114, 782, 540, 873, 269, 7073, 2724, 723, 513, 811, 7811, 2186, 281, 1799, 1468, 968, 1504, 10211, 2223, 799, 568, 588, 14414, 6475, 1227, 543, 1223, 581, 6410, 1063, 12632, 1510, 6029, 909, 547, 1866, 563, 290, 7973, 9242, 11750, 267, 610, 1256, 6939, 657, 267, 616, 513, 1007, 1826, 540, 3059, 2724, 602, 2306, 946, 540, 3354, 547, 4383, 9388, 543, 849, 2061, 12611, 18834, 269, 31427, 15824, 711, 1683, 519, 1360, 1482, 7082, 20038, 607, 5491, 3965, 6486, 543, 2883, 5238, 563, 11045, 13024, 540, 19116, 8044, 602, 789, 616, 513, 24339, 520, 1944, 3196, 267, 2921, 1379, 2476, 689, 3844, 8492, 543, 20497, 269, 28414, 13915, 267, 2348, 1767, 602, 267, 6142, 3409, 602, 513, 17732, 540, 4341, 585, 19116, 16877, 20737, 543, 849, 4838, 2456, 543, 849, 8591, 547, 8635, 269, 5047, 267, 789, 949, 7985, 689, 3978, 2344, 25359, 607, 1134, 607, 8532, 1804, 5666, 540, 5122, 1379, 585, 5599, 269, 17859, 540, 891, 2152, 267, 22124, 616, 2965, 7930, 22151, 547, 1852, 519, 2872, 269, 634, 7330, 853, 4169, 543, 849, 16510, 8189, 630, 306, 4488, 264, 568, 2965, 12423, 7123, 23915, 547, 1118, 2386, 602, 1710, 534, 857, 619, 616, 17956, 607, 1134, 607, 602, 519, 1870, 598, 13257, 609, 4550, 2173, 2292, 11067, 543, 849, 3454, 10220, 9777, 725, 563, 290, 7973, 9242, 6275, 568, 513, 1826, 540, 3059, 2724, 602, 2306, 946, 540, 14238, 2413, 2029, 547, 2149, 16306, 269, 589, 15170, 779, 1871, 568, 2965, 1759, 593, 922, 4390, 547, 18172, 13182, 9388, 269, 26429, 11750, 1118, 946, 540, 3354, 3741, 547, 3132, 3059, 4773, 602, 666, 3362, 581, 2220, 11474, 936, 18228, 2123, 2780, 1949, 538, 1063, 11570, 2059, 609, 3059, 23348, 269, 31427, 568, 513, 2186, 540, 3059, 10211, 602, 1568, 607, 513, 5420, 540, 23396, 267, 28498, 1004, 547, 3142, 538, 16306, 2059, 609, 2370, 3787, 540, 11508, 269, 9521, 6671, 1770, 540, 19728, 602, 1118, 946, 540, 4773, 543, 4967, 267, 19116, 616, 2965, 1175, 22121, 25274, 9001, 1587, 3515, 540, 2780, 3009, 269, 0, 16165, 289, 476, 13136, 6200, 288, 281, 27915, 519, 476, 1691, 268, 17413, 14114, 671, 16680, 593, 519, 18104, 13804, 3363, 540, 519, 8299, 19965, 270, 18893, 673, 2506, 2153, 454, 294, 10397, 7304, 599, 8738, 7370, 630, 16165, 24871, 264, 616, 519, 1034, 10795, 30762, 538, 519, 7122, 269, 4256, 5401, 5982, 568, 5631, 538, 519, 2571, 18325, 11920, 6512, 543, 2063, 16172, 630, 328, 4318, 1421, 689, 1984, 1047, 6948, 547, 693, 1034, 3108, 1040, 2991, 519, 5401, 12998, 267, 972, 2501, 519, 2473, 11920, 267, 9804, 543, 5925, 1310, 326, 869, 12998, 9434, 585, 4374, 610, 1256, 1296, 269, 769, 519, 3735, 5123, 540, 519, 5401, 12998, 540, 16998, 289, 476, 31275, 11277, 267, 513, 1360, 6505, 9804, 8755, 729, 4767, 267, 543, 1185, 1044, 4922, 11911, 547, 519, 12614, 540, 519, 1310, 326, 869, 5982, 269, 2311, 602, 4090, 267, 713, 9804, 8755, 849, 1305, 519, 2594, 593, 519, 24788, 13920, 540, 519, 22292, 270, 641, 3749, 12998, 538, 519, 7122, 269, 901, 2594, 1185, 1044, 7745, 538, 476, 1220, 279, 676, 519, 5401, 9804, 12998, 540, 16998, 289, 476, 24699, 29204, 289, 267, 513, 16802, 693, 513, 556, 1091, 31183, 540, 476, 271, 269, 280, 4391, 269, 4706, 8445, 3308, 9588, 10301, 476, 276, 269, 274, 267, 799, 568, 865, 6505, 602, 606, 20626, 538, 513, 4158, 4087, 1223, 723, 2938, 621, 609, 519, 21736, 4064, 269, 9521, 16998, 289, 476, 31275, 11277, 267, 519, 9804, 27506, 5982, 689, 16998, 289, 476, 24699, 29204, 289, 15244, 519, 18325, 11920, 1769, 7455, 543, 8754, 519, 2534, 540, 519, 3844, 2599, 269, 769, 519, 2250, 8717, 267, 1100, 2147, 610, 1256, 13380, 2621, 723, 1044, 4080, 269, 5047, 267, 782, 891, 9649, 9804, 1166, 4100, 941, 4362, 676, 519, 2666, 2861, 24985, 563, 4002, 1715, 5729, 781, 4303, 538, 476, 1708, 273, 267, 519, 27997, 9682, 9571, 513, 1007, 16802, 267, 16998, 289, 476, 13136, 6200, 288, 269, 634, 556, 1091, 31183, 540, 16998, 289, 476, 13136, 6200, 288, 729, 6027, 547, 581, 476, 275, 269, 277, 1240, 269, 2311, 971, 513, 1164, 556, 1091, 31183, 267, 519, 4767, 9804, 22726, 941, 538, 22292, 6512, 543, 11124, 689, 1360, 3978, 10338, 269, 9182, 267, 519, 17271, 5982, 13441, 568, 827, 476, 1911, 2053, 2362, 982, 519, 4767, 1871, 269, 3807, 476, 8064, 7643, 1310, 519, 16802, 267, 27997, 270, 10013, 5588, 5340, 513, 2656, 476, 5611, 29364, 8343, 538, 519, 2680, 7154, 538, 519, 6519, 6512, 269, 634, 4589, 5645, 856, 513, 1164, 942, 6571, 2584, 6248, 2079, 543, 7000, 513, 4028, 4720, 540, 519, 13441, 269, 769, 1880, 267, 693, 519, 8445, 942, 519, 11158, 5588, 16263, 729, 2907, 26815, 15459, 269, 1280, 971, 1239, 972, 568, 1100, 6325, 2079, 1505, 538, 519, 3332, 269, 634, 4589, 6069, 513, 4393, 1505, 585, 11158, 5588, 1239, 267, 1759, 593, 519, 16263, 781, 1448, 3262, 1599, 267, 543, 20240, 602, 621, 8197, 2488, 6325, 13441, 7403, 269, 2991, 519, 1697, 3845, 543, 10338, 28303, 267, 519, 6207, 9588, 540, 519, 22292, 270, 641, 3749, 12998, 540, 16998, 289, 476, 13136, 6200, 288, 6603, 910, 4375, 269, 275, 267, 1818, 621, 519, 1152, 2707, 547, 4266, 609, 606, 6207, 9588, 17321, 982, 910, 4375, 269, 898, 568, 849, 519, 1101, 942, 547, 3713, 606, 5393, 17615, 22292, 270, 641, 3749, 27506, 609, 513, 2230, 16263, 269, 1306, 3254, 538, 7612, 476, 272, 267, 519, 24788, 13920, 540, 16998, 289, 476, 13136, 6200, 288, 568, 5111, 476, 6110, 9076, 11669, 2053, 602, 540, 519, 6129, 267, 799, 849, 9397, 519, 476, 1691, 26188, 2025, 2594, 4371, 676, 16998, 289, 476, 24699, 29204, 289, 269, 5047, 267, 519, 9804, 5982, 2623, 540, 16998, 289, 476, 13136, 6200, 288, 568, 1114, 711, 1152, 689, 519, 9804, 268, 738, 19965, 8755, 602, 7436, 519, 4098, 540, 519, 1310, 326, 869, 538, 16998, 289, 476, 31275, 11277, 267, 855, 849, 689, 519, 1463, 16439, 540, 519, 3844, 2599, 2534, 2938, 538, 519, 9804, 268, 738, 19965, 8755, 540, 16998, 289, 476, 24699, 29204, 289, 269, 898, 3976, 5267, 513, 1007, 28936, 9713, 1184, 267, 11744, 519, 4763, 540, 519, 2168, 8129, 540, 2706, 1532, 2431, 9804, 268, 738, 19965, 28377, 269, 634, 3624, 6363, 8896, 6611, 24438, 27014, 18554, 630, 306, 309, 6865, 264, 9682, 267, 16516, 585, 10131, 538, 2038, 476, 1708, 275, 267, 568, 4397, 547, 581, 2111, 547, 3713, 5393, 17615, 22292, 270, 641, 3749, 1166, 4100, 693, 1256, 2362, 556, 1091, 327, 22284, 563, 1607, 960, 729, 6462, 538, 851, 676, 519, 2817, 7849, 3163, 7690, 540, 3624, 543, 6789, 296, 563, 8993, 269, 476, 272, 589, 6476, 1063, 5982, 540, 519, 22292, 270, 641, 3749, 27506, 540, 16998, 289, 476, 13136, 6200, 288, 267, 519, 6129, 267, 519, 4893, 517, 13960, 11083, 476, 1001, 278, 326, 325, 334, 267, 519, 27305, 10158, 267, 519, 23864, 17522, 2680, 11083, 476, 1708, 272, 331, 342, 343, 267, 519, 844, 553, 541, 1627, 12569, 808, 21497, 278, 268, 11740, 272, 267, 543, 519, 22292, 270, 641, 3749, 27506, 540, 16998, 289, 476, 24699, 29204, 289, 269, 2311, 922, 8445, 267, 519, 22292, 270, 641, 3749, 24788, 13920, 540, 16998, 289, 476, 13136, 6200, 288, 568, 5111, 476, 6110, 9076, 11669, 2053, 602, 540, 519, 6129, 269, 630, 15862, 676, 808, 2562, 2098, 1222, 532, 1696, 620, 264, 0, 288, 20794, 568, 606, 30788, 13234, 6467, 602, 10244, 525, 519, 1379, 540, 606, 30402, 24599, 547, 2901, 1930, 610, 2673, 513, 5547, 267, 1247, 513, 6467, 568, 513, 7344, 3926, 602, 10741, 610, 32195, 513, 5547, 9308, 269, 4210, 9662, 666, 581, 15181, 16924, 267, 855, 882, 904, 616, 3335, 6417, 676, 5122, 6786, 563, 2791, 666, 1921, 606, 10896, 2047, 547, 661, 9915, 3953, 855, 596, 3112, 1921, 513, 1164, 6453, 3457, 630, 7945, 607, 606, 3167, 17689, 267, 6802, 267, 13590, 9376, 267, 5276, 27103, 1807, 267, 610, 1256, 513, 2462, 3684, 2507, 264, 2047, 547, 661, 9915, 3953, 269, 1284, 991, 513, 20794, 538, 1063, 661, 9915, 3953, 543, 519, 1164, 6453, 3457, 269, 9453, 20794, 267, 519, 1164, 6453, 786, 6861, 661, 9915, 3953, 563, 763, 1455, 1063, 9013, 513, 10896, 543, 606, 3167, 17689, 281, 661, 9915, 3953, 3009, 3292, 519, 661, 9915, 3953, 779, 3977, 8930, 547, 670, 26996, 13624, 8582, 547, 2490, 5990, 300, 593, 270, 4752, 4586, 763, 3017, 1063, 9013, 513, 10896, 543, 606, 3167, 17689, 281, 2552, 13764, 10896, 281, 10896, 666, 1568, 609, 476, 274, 269, 274, 341, 610, 2539, 2340, 18568, 666, 1921, 10896, 2047, 547, 661, 9915, 3953, 779, 8930, 269, 2552, 13764, 519, 3167, 17689, 281, 519, 3167, 17689, 1568, 609, 1164, 6453, 630, 324, 3052, 269, 476, 1321, 309, 264, 22382, 27114, 27237, 1921, 519, 3167, 17689, 2047, 547, 661, 9915, 3953, 779, 8930, 269, 898, 2115, 547, 946, 513, 20794, 1063, 661, 9915, 3953, 779, 8930, 543, 519, 3167, 17689, 269, 1403, 711, 267, 661, 9915, 3953, 786, 581, 14616, 563, 5278, 882, 904, 666, 960, 609, 1312, 9823, 543, 8028, 6453, 267, 649, 5393, 4363, 596, 10691, 547, 946, 8028, 6453, 269, 2422, 513, 9823, 3926, 630, 19749, 353, 2190, 309, 264, 1152, 563, 763, 20794, 20382, 666, 581, 19040, 1079, 2516, 281, 3403, 630, 869, 6453, 264, 543, 3977, 630, 14683, 6453, 1916, 32207, 958, 267, 649, 798, 10691, 946, 782, 1164, 6453, 20382, 269, 1284, 2356, 946, 1152, 1079, 267, 4470, 593, 519, 5106, 7154, 649, 3442, 912, 32207, 958, 1930, 7154, 281, 2422, 1152, 2910, 300, 8930, 543, 12971, 8930, 454, 32207, 958, 6806, 7154, 281, 2422, 1152, 2910, 300, 8930, 543, 12135, 8930, 454, 12234, 267, 952, 519, 20794, 7028, 1312, 700, 8582, 543, 670, 26996, 1377, 12153, 267, 972, 568, 2356, 513, 795, 32658, 547, 2824, 835, 540, 1079, 281, 700, 8582, 1377, 9594, 610, 670, 26996, 1377, 9594, 563, 587, 375, 10691, 292, 8946, 2969, 912, 763, 8930, 1931, 540, 519, 20794, 666, 581, 1114, 1063, 9755, 269, 7490, 2638, 519, 10297, 9102, 593, 519, 20794, 5402, 2336, 2467, 616, 1896, 2081, 602, 513, 20794, 9074, 666, 960, 267, 4470, 593, 938, 5079, 563, 763, 968, 17884, 958, 892, 1797, 968, 604, 519, 5442, 4882, 793, 531, 8930, 568, 4448, 547, 700, 8582, 630, 271, 309, 264, 9731, 6524, 2469, 883, 1469, 267, 1577, 779, 1294, 930, 2656, 1344, 912, 763, 4999, 540, 519, 3403, 12331, 7154, 543, 3977, 12331, 12331, 5932, 1082, 946, 2665, 269, 1403, 596, 616, 513, 19444, 267, 649, 4363, 1210, 670, 26996, 1377, 9594, 7154, 543, 7363, 1930, 7154, 454, 10303, 519, 700, 8582, 1377, 9594, 543, 670, 26996, 1377, 9594, 7154, 960, 6587, 569, 267, 634, 1985, 786, 2491, 519, 670, 26996, 1377, 9594, 7154, 538, 1469, 269, 634, 700, 8582, 1377, 9594, 1568, 6587, 569, 563, 21010, 519, 1164, 19581, 5653, 3926, 547, 519, 2910, 300, 8930, 543, 12971, 8930, 269, 3807, 899, 513, 6467, 912, 21010, 519, 519, 1164, 19581, 5653, 3926, 547, 519, 2910, 300, 8930, 543, 12135, 8930, 269, 3807, 899, 513, 6467, 912, 7617, 7154, 1058 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]