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
[ 5528, 543, 1294, 782, 519, 674, 6717, 21855, 1934, 563, 4517, 1810, 1406, 1205, 803, 3323, 593, 519, 21599, 2212, 613, 541, 789, 616, 4947, 856, 609, 585, 11080, 269, 7102, 3118, 267, 594, 23125, 594, 1131, 1205, 513, 1591, 6049, 5555, 543, 946, 621, 1175, 607, 513, 6049, 267, 1100, 30518, 543, 627, 30178, 269, 1717, 1310, 713, 2376, 543, 513, 15264, 593, 7834, 267, 1141, 594, 4121, 707, 1591, 6049, 568, 513, 9477, 3926, 267, 713, 4422, 547, 519, 20610, 267, 594, 4076, 4956, 593, 513, 4347, 9548, 1100, 563, 763, 6049, 568, 5116, 538, 1585, 7158, 593, 519, 2212, 543, 1560, 267, 1519, 4371, 547, 1312, 10772, 267, 543, 782, 7403, 616, 3144, 543, 4080, 547, 519, 674, 6717, 950, 519, 10672, 568, 5275, 13170, 269, 1717, 267, 621, 1058, 581, 7074, 602, 1152, 519, 1360, 5207, 590, 2752, 2418, 585, 1142, 1826, 540, 5982, 616, 3769, 538, 3803, 7156, 585, 10220, 609, 519, 674, 6717, 779, 4808, 563, 288, 6049, 781, 1808, 10338, 2557, 630, 306, 2752, 264, 8761, 519, 5021, 2179, 540, 5982, 519, 1480, 1560, 25309, 689, 519, 6049, 1247, 621, 781, 23142, 269, 590, 2752, 4152, 5849, 602, 519, 3457, 4421, 538, 519, 772, 2529, 269, 16783, 609, 519, 8549, 18058, 8189, 630, 293, 6717, 264, 590, 2752, 4598, 3970, 267, 855, 519, 2582, 267, 10782, 30924, 1871, 5833, 689, 713, 590, 2752, 4152, 568, 711, 8209, 11347, 540, 519, 10338, 1282, 4890, 946, 267, 543, 4061, 621, 568, 711, 5227, 585, 16198, 1851, 11436, 269, 769, 2110, 267, 8939, 513, 2539, 590, 2752, 6049, 786, 711, 28761, 2327, 2539, 5982, 10338, 1282, 946, 269, 634, 674, 6717, 814, 811, 1344, 693, 16930, 12559, 26975, 15580, 630, 306, 2752, 264, 1280, 8426, 1912, 2158, 281, 1548, 898, 31283, 1280, 1411, 563, 763, 1614, 1034, 1455, 2634, 10510, 2010, 2443, 543, 519, 3283, 1034, 1591, 7483, 543, 1480, 1072, 2090, 5059, 593, 2443, 616, 1350, 328, 5557, 630, 7356, 17257, 12970, 540, 519, 2634, 543, 11983, 10260, 1070, 23971, 328, 5557, 630, 2865, 569, 1875, 4754, 1356, 748, 12970, 540, 519, 17011, 4478, 519, 2634, 543, 11983, 10260, 267, 1498, 513, 1507, 6871, 616, 29406, 1070, 543, 17974, 29648, 553, 630, 12061, 4754, 1356, 748, 12970, 593, 519, 1292, 8229, 602, 5012, 689, 519, 6418, 1274, 547, 519, 2634, 1040, 8074, 602, 540, 891, 267, 1350, 328, 5557, 616, 519, 1292, 6161, 2443, 789, 3622, 723, 811, 4049, 4093, 982, 23971, 328, 5557, 543, 17974, 29648, 553, 563, 11039, 267, 2901, 519, 19492, 557, 7161, 476, 4200, 269, 280, 260, 540, 782, 5434, 610, 621, 3085, 1406, 269, 634, 1448, 568, 267, 4376, 1447, 982, 1018, 519, 2754, 568, 10229, 13054, 674, 6938, 11070, 269, 1403, 789, 1185, 1767, 513, 476, 2004, 260, 5786, 1131, 581, 2938, 267, 1287, 519, 16674, 11281, 1058, 723, 10630, 602, 269, 29034, 3855, 602, 713, 2754, 568, 546, 1575, 532, 513, 2603, 540, 5561, 269, 2755, 519, 1587, 2048, 19972, 338, 685, 1434, 267, 1250, 1995, 729, 602, 621, 1500, 12971, 3017, 693, 782, 269, 769, 1249, 267, 621, 729, 8338, 2348, 713, 2013, 543, 519, 10206, 540, 7301, 3354, 269, 594, 8694, 909, 3478, 27337, 881, 31264, 1318, 1310, 594, 3323, 1210, 621, 269, 594, 729, 7301, 569, 8746, 602, 594, 729, 1373, 6870, 269, 12344, 851, 540, 519, 2013, 17808, 519, 5365, 799, 7142, 519, 6049, 547, 960, 602, 1454, 9875, 267, 4061, 14275, 4328, 1022, 4324, 269, 7490, 4063, 267, 6800, 269, 594, 1131, 711, 4363, 15822, 306, 23932, 557, 1759, 593, 1250, 1995, 563, 288, 1804, 17053, 630, 3453, 23302, 264, 1353, 540, 5176, 476, 8517, 267, 1822, 2021, 538, 519, 5177, 8947, 519, 1981, 540, 3384, 2634, 12970, 936, 513, 476, 278, 4458, 1974, 538, 6935, 547, 1582, 3146, 19959, 1591, 6049, 946, 693, 519, 1376, 540, 519, 1353, 269, 901, 1353, 1336, 1100, 3095, 1063, 1591, 6049, 946, 543, 2634, 12970, 2949, 610, 1896, 1455, 2634, 10510, 1016, 18196, 267, 855, 621, 1705, 1265, 513, 2009, 3095, 1063, 1279, 3856, 1591, 6049, 946, 543, 17974, 29648, 553, 563, 7021, 942, 267, 519, 1297, 540, 1591, 6049, 7125, 829, 1554, 267, 519, 3259, 540, 1142, 1289, 267, 543, 519, 2179, 540, 942, 1004, 946, 1591, 11436, 723, 2799, 269, 5221, 540, 2242, 538, 1591, 6049, 2029, 543, 4679, 538, 519, 1297, 540, 3490, 10473, 585, 23142, 12616, 6786, 267, 519, 4598, 689, 1591, 6049, 946, 1765, 12741, 3977, 1765, 13757, 4957, 267, 6140, 22485, 267, 538, 1082, 4525, 540, 519, 2136, 2276, 630, 272, 1040, 0, 9515, 6645, 1864, 621, 568, 5130, 476, 272, 267, 7982, 32143, 543, 8755, 10587, 616, 1454, 4443, 547, 6023, 1317, 972, 616, 865, 1082, 811, 5686, 540, 2250, 13029, 982, 1459, 13029, 269, 2290, 7664, 540, 713, 568, 547, 2303, 602, 267, 693, 713, 1448, 538, 519, 1650, 267, 23415, 20198, 6499, 519, 5467, 547, 1020, 29059, 609, 519, 1915, 540, 31143, 773, 563, 27645, 543, 981, 29794, 1413, 585, 1806, 538, 707, 960, 540, 519, 1739, 543, 8366, 7436, 2687, 547, 875, 1134, 596, 723, 8214, 1194, 519, 1614, 2127, 281, 594, 1174, 875, 1010, 30890, 1145, 568, 513, 6668, 7271, 267, 855, 594, 1131, 1589, 972, 1131, 581, 606, 5817, 4160, 602, 1131, 2769, 3294, 796, 4621, 19290, 563, 2171, 723, 782, 6738, 909, 27153, 538, 513, 1158, 540, 6386, 543, 865, 723, 1831, 7357, 5827, 540, 1412, 325, 3739, 538, 262, 1022, 851, 540, 513, 2239, 602, 568, 14406, 856, 269, 1261, 2219, 602, 9291, 773, 13100, 704, 729, 834, 23251, 3307, 569, 2630, 1612, 2580, 19696, 1200, 12238, 660, 543, 4731, 333, 712, 1639, 5920, 267, 1007, 688, 1009, 1803, 267, 543, 13581, 561, 7371, 607, 4128, 1946, 1200, 9117, 729, 711, 1200, 20923, 563, 1607, 1522, 711, 581, 1434, 3377, 952, 621, 10039, 547, 596, 267, 855, 972, 781, 1100, 29400, 519, 1249, 602, 596, 666, 1405, 2328, 538, 1469, 827, 513, 1257, 596, 1810, 1405, 917, 1134, 269, 4855, 21450, 1455, 6249, 2443, 2648, 267, 2112, 267, 2669, 267, 21440, 267, 2792, 267, 1920, 267, 4655, 267, 10072, 267, 17096, 267, 19807, 269, 1284, 3100, 547, 723, 513, 3710, 538, 7287, 547, 1616, 547, 3972, 543, 2972, 6947, 547, 1978, 2010, 540, 2239, 5639, 282, 1586, 267, 1100, 835, 2731, 6487, 1946, 713, 568, 563, 2252, 865, 267, 616, 789, 6325, 286, 2991, 1585, 6009, 1519, 13629, 1514, 960, 2835, 267, 6117, 513, 26889, 8709, 543, 9513, 7574, 7405, 267, 1200, 1101, 3209, 634, 9119, 540, 11146, 729, 3370, 538, 543, 729, 2110, 4289, 539, 585, 519, 20448, 19536, 7454, 3689, 3883, 267, 543, 824, 26065, 563, 763, 4813, 543, 12856, 540, 21931, 1879, 596, 2328, 827, 513, 1650, 267, 596, 616, 1373, 4280, 547, 20272, 543, 1865, 1946, 543, 875, 519, 5856, 814, 2322, 547, 946, 519, 1585, 3029, 543, 3889, 540, 2239, 269, 634, 623, 1845, 339, 569, 2278, 540, 19606, 5526, 547, 1413, 1394, 547, 606, 4998, 2250, 538, 799, 18495, 5030, 693, 4708, 1312, 609, 3294, 543, 609, 519, 3662, 10806, 267, 543, 799, 1223, 581, 556, 268, 778, 773, 1386, 998, 513, 1697, 9384, 4716, 1272, 538, 10103, 609, 2696, 563, 1692, 568, 713, 6249, 2919, 286, 5213, 1405, 1427, 749, 519, 2621, 540, 519, 1650, 269, 5637, 570, 3317, 656, 543, 13100, 704, 8815, 602, 519, 20772, 540, 519, 2078, 568, 811, 3078, 982, 2348, 621, 1483, 2213, 269, 898, 568, 519, 4655, 602, 5932, 1018, 568, 1572, 519, 28658, 540, 519, 1650, 269, 4147, 9089, 616, 2693, 547, 581, 1018, 568, 1572, 1412, 339, 22351, 9141, 3299, 2864, 982, 1412, 7120, 9141, 23823, 1103, 513, 6093, 2239, 267, 14070, 610, 6382, 267, 519, 1650, 4145, 513, 3126, 540, 2621, 267, 543, 1419, 3056, 547, 513, 6172, 1314, 540, 2621, 267, 602, 2014, 930, 2186, 540, 1689, 538, 519, 1272, 540, 513, 2582, 1292, 1915, 910, 20248, 17941, 267, 519, 16502, 269, 1809, 2239, 568, 513, 3810, 16866, 543, 6644, 730, 1259, 540, 8051, 585, 1018, 814, 547, 581, 519, 5963, 1950, 2729, 543, 2621, 540, 1004, 538, 713, 1158, 540, 23600, 7868, 19606, 5137, 2239, 568, 519, 5137, 7242, 540, 1312, 17194, 543, 8567, 563, 763, 2239, 568, 1500, 909, 540, 1079, 2984, 267, 10199, 6697, 547, 519, 1101, 1079, 11271, 540, 519, 3883, 540, 25989, 529, 655, 514, 926, 2593, 519, 1101, 267, 4432, 2129, 574, 630, 1492, 12355, 13598, 2262, 585, 2696, 264, 5932, 519, 30723, 543, 519, 3618, 538, 3670, 2395, 267, 1287, 26520, 593, 267, 12196, 525, 543, 18813, 5809, 519, 25989, 529, 655, 514, 926, 2593, 519, 2034, 1650, 267, 2696, 267, 1631, 5219, 547, 676, 519, 563, 17098, 1175, 11842, 952, 972, 568, 513, 476, 2412, 1665, 2243, 543, 513, 476, 1789, 1665, 2243, 630, 2686, 2796, 264, 543, 519, 1101, 2243, 12134, 596, 547, 5635, 1079, 540, 519, 5931, 596, 723, 6594, 543, 519, 2034, 2243, 12134, 596, 547, 2911, 827, 707, 3791, 25989, 529, 655, 514, 926, 2593, 798, 596, 1152, 5635, 1079, 563, 10403, 17283, 27484, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 594, 3513, 581, 9985, 9237, 543, 16153, 689, 519, 1205, 979, 602, 594, 1185, 2760, 4862, 540, 595, 709, 577, 610, 1010, 3126, 2394, 16737, 4956, 547, 2011, 519, 8613, 3126, 10158, 1189, 623, 1149, 267, 1759, 593, 595, 709, 2583, 959, 559, 9609, 10158, 1189, 623, 1149, 563, 763, 1889, 540, 8496, 1145, 1230, 3272, 539, 538, 9956, 781, 17283, 910, 769, 5261, 9956, 779, 17283, 267, 835, 540, 519, 1034, 10423, 543, 1271, 4798, 568, 519, 6249, 540, 32408, 563, 303, 770, 13029, 1107, 519, 19363, 269, 634, 2621, 540, 519, 1650, 616, 936, 281, 519, 5467, 6487, 621, 267, 543, 6487, 602, 519, 15669, 267, 693, 2547, 267, 4440, 4769, 1406, 5884, 6185, 5877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 1626, 281, 4197, 5403, 6874, 571, 9964, 13262, 13081, 630, 303, 15056, 2020, 5970, 596, 2479, 5433, 2731, 18901, 610, 14221, 286, 9320, 1354, 513, 2462, 1449, 610, 1310, 8384, 513, 17559, 7260, 286, 1452, 4606, 666, 581, 7920, 855, 2356, 979, 2476, 2899, 519, 3510, 568, 936, 269, 1717, 267, 930, 1004, 1995, 891, 4606, 1279, 1310, 789, 723, 8854, 998, 513, 15779, 2680, 269, 901, 2783, 568, 1572, 5403, 6874, 571, 9964, 13262, 13081, 630, 303, 15056, 1040, 2913, 781, 1451, 811, 827, 17971, 543, 875, 621, 5540, 1004, 945, 723, 4810, 8194, 780, 1432, 568, 17971, 888, 2411, 692, 5331, 1373, 538, 513, 2112, 7997, 1141, 30762, 543, 7784, 13933, 616, 3586, 269, 1411, 2760, 917, 952, 596, 786, 1118, 621, 856, 9800, 269, 2991, 3275, 610, 1256, 1296, 540, 2713, 899, 713, 267, 596, 6368, 2132, 1753, 269, 1809, 3079, 540, 4743, 2922, 267, 596, 1265, 3054, 7683, 593, 6316, 269, 5272, 10978, 6846, 2306, 596, 7914, 269, 1411, 723, 3781, 2742, 637, 827, 707, 2833, 543, 1745, 16944, 585, 1919, 596, 1705, 610, 4769, 1405, 798, 1282, 519, 2112, 269, 4634, 1498, 596, 616, 9308, 2922, 267, 707, 2247, 1869, 7959, 899, 596, 616, 538, 8594, 269, 901, 568, 17971, 780, 303, 15056, 568, 513, 2790, 1072, 4524, 602, 10953, 1310, 2576, 4422, 998, 513, 15779, 2680, 269, 589, 1268, 609, 17971, 949, 882, 633, 519, 15779, 2680, 998, 8755, 10587, 267, 9909, 267, 610, 4555, 602, 3100, 547, 2097, 856, 540, 24076, 269, 1358, 1522, 849, 2119, 547, 2057, 4025, 267, 1004, 267, 610, 2238, 602, 7618, 873, 540, 519, 15779, 2680, 269, 3958, 267, 789, 949, 1995, 7099, 2242, 971, 607, 29338, 267, 10845, 267, 18354, 267, 610, 4250, 269, 2368, 1004, 609, 17971, 949, 849, 6560, 609, 4965, 267, 4160, 267, 6219, 6057, 267, 610, 824, 2790, 1072, 4713, 780, 8005, 2052, 5192, 17971, 888, 2411, 14945, 12179, 821, 666, 1020, 17971, 267, 7488, 540, 2085, 267, 4008, 267, 610, 4282, 269, 1717, 267, 1978, 2516, 540, 1004, 616, 811, 2693, 547, 1995, 8194, 543, 4061, 811, 12155, 547, 3384, 17971, 269, 1280, 1383, 267, 7980, 945, 4196, 538, 8396, 10851, 1419, 1995, 8194, 602, 5012, 547, 17971, 269, 5753, 945, 7198, 5208, 610, 7985, 2168, 610, 4638, 6057, 616, 849, 693, 1981, 269, 25083, 525, 7904, 4370, 741, 5321, 1813, 547, 2112, 610, 20655, 616, 1776, 1895, 602, 4749, 23119, 689, 17971, 780, 1692, 6496, 17971, 18748, 519, 10610, 888, 28598, 2691, 2576, 814, 17971, 267, 741, 1560, 20781, 607, 952, 789, 941, 1869, 538, 8594, 269, 4256, 2295, 2557, 4679, 267, 6091, 13029, 267, 543, 7244, 3587, 13719, 269, 3683, 942, 267, 713, 2566, 3210, 666, 1291, 547, 2168, 2589, 971, 607, 14331, 267, 7181, 1928, 267, 543, 3207, 18063, 269, 4658, 609, 17971, 616, 849, 693, 2362, 1981, 585, 5312, 2175, 899, 3987, 267, 1164, 1973, 2604, 267, 543, 16991, 3676, 780, 28536, 3151, 543, 6164, 532, 17971, 454, 10900, 19030, 2414, 13209, 17971, 267, 7189, 1413, 585, 1808, 2589, 602, 2063, 585, 693, 2547, 513, 3923, 269, 1452, 2589, 1590, 2014, 1713, 11605, 610, 15717, 538, 1514, 267, 17163, 267, 610, 824, 1271, 2127, 540, 8647, 269, 1703, 616, 1082, 2500, 5574, 585, 17971, 267, 1519, 3797, 267, 6646, 267, 543, 6197, 2242, 269, 10657, 666, 948, 2043, 1174, 741, 12153, 543, 1020, 12003, 2994, 269, 5709, 725, 971, 607, 16496, 22515, 556, 340, 696, 820, 20127, 630, 7704, 305, 3674, 264, 543, 22515, 543, 562, 648, 18090, 31058, 556, 340, 696, 820, 20127, 630, 17928, 305, 3674, 264, 666, 13468, 2589, 269, 27999, 12381, 267, 971, 607, 3635, 267, 9066, 267, 543, 2635, 4189, 6208, 267, 666, 849, 2087, 2949, 8171, 780, 7093, 28124, 17971, 454, 1366, 15365, 4407, 649, 3112, 2141, 2061, 8194, 689, 9648, 267, 972, 616, 3268, 649, 666, 1491, 547, 2569, 519, 10171, 540, 3384, 17971, 269, 8490, 6043, 998, 11215, 3347, 267, 2318, 1582, 2389, 1779, 267, 543, 1966, 9010, 1983, 666, 948, 17280, 1996, 519, 2360, 540, 8194, 269, 16418, 532, 3318, 1489, 5612, 1739, 513, 15779, 2680, 666, 849, 5351, 538, 7303, 519, 1646, 540, 17971, 780, 6962, 454, 29603, 8070, 6874, 571, 9964, 13262, 13081, 568, 513, 3978, 2790, 1072, 2783, 602, 5540, 6634, 540, 1004, 5001, 269, 1635, 1620, 519, 3123, 543, 2589, 540, 17971, 267, 649, 666, 1732, 1489, 1346, 4299, 676, 8194, 543, 960, 2509, 6604, 543, 2126, 269, 5457, 267, 5275, 948, 568, 513, 1129, 540, 4222, 267, 543, 6051, 568, 2009, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 309, 28126, 1654, 1206, 693, 15007, 25211, 454, 20779, 4531, 1846, 585, 2799, 2640, 454, 3528, 700, 3036, 2894, 313, 302, 645, 2894, 4953, 454, 272, 7981, 547, 634, 11545, 454, 301, 11246, 962, 3036, 298, 910, 8935, 326, 729, 9361, 593, 519, 1394, 454, 1993, 513, 14903, 538, 3162, 10476, 835, 12784, 538, 454, 3192, 271, 950, 1079, 1453, 910, 1100, 811, 982, 476, 1321, 1296, 454, 1245, 910, 887, 1372, 909, 547, 1864, 593, 513, 17919, 269, 2290, 7911, 5577, 8894, 6244, 1055, 519, 11332, 267, 4682, 936, 547, 8935, 326, 781, 14903, 267, 543, 454, 9776, 513, 575, 1066, 1228, 18284, 621, 269, 8935, 326, 10443, 585, 1010, 454, 5158, 607, 519, 14903, 1011, 10757, 269, 634, 1714, 17863, 942, 914, 8894, 1048, 519, 26570, 10071, 538, 10476, 543, 8935, 326, 781, 454, 1551, 2526, 1753, 547, 12590, 729, 1152, 476, 4366, 454, 327, 2293, 269, 2311, 1753, 267, 8935, 326, 729, 513, 8401, 20739, 1188, 269, 1261, 454, 651, 696, 3168, 936, 1010, 13105, 585, 519, 10546, 2676, 663, 325, 3881, 16944, 827, 6028, 1010, 325, 12188, 3297, 538, 454, 309, 28126, 269, 898, 3576, 8935, 326, 3670, 1296, 547, 1205, 936, 1018, 454, 529, 1634, 607, 519, 834, 309, 28126, 13262, 15540, 4799, 1607, 3018, 267, 8935, 326, 630, 2254, 1010, 1483, 2012, 264, 543, 1896, 540, 454, 20130, 8284, 18884, 616, 10213, 30896, 547, 519, 454, 20779, 7095, 2817, 13482, 1934, 602, 1296, 7192, 8894, 614, 519, 2673, 540, 519, 10476, 5736, 267, 519, 726, 697, 540, 18884, 454, 763, 1883, 2115, 540, 18884, 2221, 267, 934, 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, 5983, 14750, 6925, 1315, 5983, 14750, 11202, 1108, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4258, 518, 18490, 31538, 338, 3414, 5384, 692, 5970, 596, 2479, 1044, 547, 513, 533, 788, 28487, 693, 707, 1153, 286, 1403, 865, 267, 596, 4440, 8068, 519, 17869, 548, 19470, 262, 3750, 2275, 10248, 26977, 256, 1809, 798, 596, 917, 875, 891, 26977, 723, 4957, 936, 942, 286, 2913, 781, 2263, 519, 1686, 540, 17869, 18490, 26977, 1927, 2439, 4263, 1101, 267, 972, 14201, 1405, 1022, 2027, 26977, 585, 17869, 548, 19470, 1317, 1034, 540, 873, 941, 8695, 945, 1750, 1229, 593, 741, 1153, 6887, 1247, 9849, 2834, 8265, 9660, 256, 1717, 267, 950, 6690, 3459, 11836, 17869, 2695, 6758, 1472, 519, 1376, 540, 519, 476, 736, 628, 2540, 267, 1919, 3323, 4657, 269, 1452, 2038, 4775, 17869, 548, 19470, 21039, 14013, 585, 519, 2053, 267, 799, 5921, 16434, 7802, 899, 1279, 1236, 16630, 267, 1164, 8405, 6050, 267, 543, 1279, 19492, 1407, 1765, 638, 924, 1114, 689, 1018, 649, 1294, 19951, 2439, 3080, 1383, 2501, 689, 26658, 2160, 267, 1141, 513, 476, 5002, 277, 2022, 15258, 2982, 513, 8004, 8066, 909, 513, 1153, 7333, 1676, 1247, 9849, 513, 1279, 1606, 23932, 1386, 10571, 538, 1200, 2319, 781, 4778, 269, 901, 10571, 1185, 513, 27897, 602, 4988, 1200, 3003, 8405, 267, 2059, 609, 513, 17890, 1236, 7398, 8757, 1524, 547, 1200, 17094, 956, 269, 898, 729, 9090, 811, 6101, 982, 519, 2110, 338, 543, 7693, 25568, 12816, 676, 2413, 17869, 548, 19470, 2439, 2026, 17869, 18490, 2968, 811, 2442, 1851, 1312, 25469, 1282, 922, 26638, 267, 7833, 6272, 7960, 1932, 269, 1280, 3236, 267, 1082, 2038, 26977, 12286, 4418, 11596, 267, 2523, 3556, 580, 753, 267, 24224, 609, 519, 3355, 4484, 4433, 264, 540, 519, 1153, 2012, 593, 519, 9221, 1858, 269, 1677, 1832, 3636, 3544, 267, 930, 17869, 548, 19470, 1256, 3773, 3063, 6106, 971, 607, 2881, 339, 6352, 1815, 802, 18284, 741, 18241, 3556, 580, 753, 269, 3958, 267, 2094, 2890, 10746, 4769, 1405, 2291, 1394, 1287, 267, 17869, 548, 19470, 16941, 593, 19251, 7469, 2158, 547, 1788, 741, 9739, 543, 1291, 11655, 538, 5885, 741, 3506, 262, 5026, 6887, 780, 3086, 602, 596, 1174, 875, 17869, 18490, 26977, 6743, 950, 713, 2534, 729, 1869, 1007, 267, 4952, 1373, 851, 540, 1346, 21722, 6891, 268, 24597, 1212, 9749, 256, 1215, 3579, 1131, 621, 1745, 547, 2099, 707, 1153, 23217, 267, 1256, 952, 621, 2838, 19703, 8335, 982, 1699, 17869, 548, 19470, 798, 286, 5457, 267, 6752, 2242, 998, 5481, 267, 2943, 519, 9759, 540, 17869, 18490, 3788, 3586, 910, 8716, 15131, 543, 1489, 585, 835, 781, 1153, 2146, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15987, 596, 1522, 711, 3494, 621, 676, 519, 856, 22327, 2221, 267, 17869, 18490, 26977, 3323, 856, 1360, 11122, 8271, 269, 2311, 519, 2490, 540, 519, 14206, 2540, 519, 5354, 540, 17869, 548, 19470, 941, 5256, 267, 543, 789, 1705, 711, 5957, 26977, 855, 1175, 15548, 9849, 8265, 9660, 269, 6468, 1705, 6443, 519, 16034, 540, 17869, 548, 19470, 267, 543, 607, 789, 1705, 519, 17869, 18490, 26977, 789, 20595, 941, 3617, 585, 519, 1554, 269, 1703, 568, 513, 2022, 15258, 689, 26658, 2160, 267, 9102, 538, 476, 5002, 277, 267, 602, 2982, 513, 4775, 17869, 548, 14575, 8876, 513, 1153, 7333, 1676, 267, 9849, 513, 1360, 15061, 28459, 538, 1153, 4778, 1107, 513, 1279, 19492, 1386, 10571, 609, 513, 1164, 8405, 1467, 543, 1279, 267, 13576, 1236, 7398, 563, 1103, 519, 4098, 5933, 540, 17869, 18490, 267, 26977, 1419, 15538, 540, 513, 4418, 831, 630, 17141, 513, 3556, 10247, 264, 543, 519, 1153, 5022, 593, 519, 4395, 269, 6884, 513, 2881, 339, 331, 2940, 1188, 25099, 1131, 581, 30305, 896, 519, 3556, 10247, 4418, 831, 585, 3606, 14246, 585, 17869, 548, 19470, 13964, 269, 589, 19251, 7469, 821, 630, 320, 3926, 1031, 547, 24244, 519, 9739, 540, 519, 17869, 548, 19470, 264, 1131, 1419, 13173, 519, 17869, 18490, 796, 604, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 4008, 4302, 518, 737, 1074, 538, 5708, 256, 901, 1522, 3100, 899, 513, 7294, 1888, 267, 855, 1810, 1405, 5855, 910, 649, 2811, 2469, 547, 2736, 621, 1524, 1927, 543, 1491, 513, 6251, 1413, 693, 1018, 1142, 2165, 1797, 543, 875, 789, 782, 3514, 1927, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 723, 513, 1732, 1620, 540, 891, 2035, 543, 875, 789, 9305, 547, 19574, 2833, 543, 2144, 582, 3821, 538, 3332, 780, 4131, 781, 2253, 676, 10747, 930, 1883, 2474, 1384, 265, 2878, 29638, 4302, 518, 4995, 589, 1268, 4171, 4008, 3961, 1281, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10719, 730, 950, 1352, 4280, 547, 1294, 28736, 538, 1010, 3020, 10143, 1106, 563, 5475, 1373, 30375, 5293, 1524, 585, 5481, 267, 8941, 540, 28736, 779, 15413, 3547, 941, 5312, 1194, 676, 519, 3504, 5259, 2148, 10620, 267, 5356, 513, 6885, 883, 519, 2528, 543, 4978, 540, 519, 942, 269, 2290, 540, 519, 1034, 1713, 1568, 24223, 519, 9035, 543, 22871, 540, 5259, 10971, 267, 1519, 28736, 267, 568, 31928, 1675, 779, 968, 763, 690, 3415, 892, 689, 519, 476, 279, 628, 2540, 7460, 269, 3204, 12023, 676, 930, 607, 519, 24888, 540, 12206, 899, 4173, 617, 582, 639, 610, 774, 1075, 11770, 1938, 267, 31928, 1675, 6799, 513, 2143, 2272, 540, 519, 20562, 515, 517, 267, 609, 513, 8037, 27527, 585, 28736, 563, 8601, 10223, 519, 5601, 779, 3875, 561, 807, 11143, 267, 972, 779, 1100, 20726, 540, 18594, 675, 538, 31928, 1675, 779, 24575, 269, 901, 3668, 540, 10385, 593, 28736, 779, 30940, 2126, 540, 2021, 19141, 519, 30013, 2497, 540, 3504, 10255, 267, 1141, 5256, 6392, 729, 9976, 267, 543, 2021, 941, 4397, 547, 3398, 741, 5107, 1510, 16311, 563, 3918, 4696, 27749, 281, 7731, 10326, 540, 28736, 454, 3963, 1705, 28736, 1205, 2476, 609, 1082, 540, 1010, 546, 718, 10662, 888, 763, 3804, 540, 519, 2376, 2630, 568, 711, 547, 1377, 30852, 693, 28736, 779, 561, 807, 11143, 855, 3079, 621, 779, 5921, 547, 5031, 1010, 2912, 20160, 2623, 2509, 2021, 538, 3504, 5259, 13299, 563, 313, 324, 639, 267, 519, 18678, 5259, 5601, 267, 13684, 1010, 786, 1510, 9184, 5622, 10148, 269, 6468, 646, 22002, 7608, 741, 3186, 514, 625, 267, 1519, 29854, 689, 1010, 23279, 7385, 267, 4173, 320, 563, 313, 324, 639, 779, 2702, 547, 4497, 538, 3875, 546, 718, 10662, 1510, 1713, 2123, 29854, 666, 581, 6956, 689, 1896, 5380, 912, 268, 1306, 519, 4622, 540, 519, 10971, 543, 519, 14610, 540, 6778, 10493, 639, 267, 28736, 4371, 519, 5207, 2990, 540, 1379, 543, 6392, 538, 519, 5259, 20562, 515, 517, 269, 901, 29686, 5795, 1864, 9645, 5191, 538, 1010, 3527, 563, 268, 3733, 2195, 1419, 7854, 21179, 725, 543, 5409, 2513, 525, 547, 6655, 6835, 267, 26069, 267, 610, 2686, 4978, 269, 28736, 779, 3875, 12602, 666, 581, 2938, 607, 12572, 11269, 540, 1010, 5318, 3310, 267, 2205, 1006, 267, 543, 9631, 30876, 637, 775, 2864, 982, 21055, 6589, 563, 268, 9147, 5259, 2486, 729, 15866, 30013, 269, 9093, 267, 2523, 1346, 540, 1164, 4567, 267, 1419, 1185, 3347, 3544, 540, 741, 3119, 22888, 269, 769, 29631, 6386, 267, 891, 6848, 8155, 941, 28659, 563, 268, 2755, 28736, 1419, 5185, 2370, 1463, 12343, 585, 1010, 12602, 267, 519, 2021, 646, 729, 3238, 609, 543, 741, 15556, 14201, 1406, 2141, 607, 26752, 269, 3509, 5185, 519, 32716, 540, 4173, 320, 267, 28736, 779, 7385, 267, 945, 729, 13269, 607, 18979, 569, 23279, 563, 268, 2368, 5640, 3494, 602, 519, 2984, 540, 28736, 779, 546, 718, 10662, 941, 14165, 673, 267, 8204, 519, 26399, 540, 1114, 4529, 610, 519, 791, 3789, 540, 835, 2528, 936, 1776, 269, 769, 891, 12496, 267, 519, 2021, 2099, 3338, 610, 4525, 968, 935, 638, 1229, 892, 676, 519, 3310, 540, 519, 3119, 5259, 2528, 563, 268, 634, 3527, 540, 10971, 538, 14868, 1810, 1406, 2141, 5447, 609, 1480, 26069, 269, 29331, 1419, 7500, 593, 513, 1114, 1305, 540, 3741, 267, 14436, 540, 741, 23629, 1275, 267, 9631, 30876, 582, 775, 267, 543, 1898, 2470, 538, 5935, 519, 1158, 543, 922, 2621, 269, 0, 303, 699, 6424, 779, 13650, 630, 14976, 7469, 32203, 30602, 1014, 639, 264, 568, 513, 9691, 13155, 2249, 540, 10859, 8584, 638, 1738, 13650, 5065, 547, 3624, 269, 4706, 1034, 23243, 4183, 616, 922, 1279, 267, 512, 1653, 532, 1884, 6840, 602, 666, 3914, 909, 547, 476, 275, 3952, 538, 3259, 563, 763, 2249, 729, 8385, 4362, 676, 3943, 29966, 14022, 663, 6424, 538, 476, 5908, 276, 543, 3957, 1310, 1864, 269, 3683, 519, 2250, 2540, 267, 28828, 6424, 779, 1546, 518, 814, 4810, 3665, 7226, 2530, 1813, 547, 1480, 2238, 971, 607, 6694, 7269, 267, 19883, 543, 936, 6588, 4506, 563, 2026, 513, 1267, 267, 621, 814, 1831, 835, 540, 519, 1158, 779, 4686, 560, 2249, 609, 606, 6059, 3552, 2551, 2450, 540, 1152, 1472, 476, 273, 267, 1822, 2043, 269, 5047, 267, 713, 2189, 2249, 568, 3810, 7925, 547, 14486, 1813, 547, 922, 1970, 10285, 2557, 543, 3500, 2208, 2557, 563, 1103, 1769, 540, 891, 5013, 267, 7320, 27563, 723, 1044, 15388, 2081, 547, 2327, 519, 6668, 543, 1761, 6051, 540, 713, 7415, 2249, 585, 1082, 1296, 1631, 269, 3414, 741, 2090, 593, 519, 14498, 543, 2623, 3270, 540, 28828, 5096, 1749, 1546, 518, 538, 741, 2067, 9249, 267, 789, 723, 6591, 3407, 4030, 883, 875, 1655, 547, 2149, 873, 689, 2417, 7771, 563, 1607, 2376, 786, 1683, 513, 3102, 7650, 540, 1018, 649, 4867, 917, 827, 713, 28430, 3662, 865, 2484, 282, 7234, 3584, 971, 607, 2039, 3892, 267, 5726, 3646, 543, 6937, 15054, 676, 2916, 1689, 563, 303, 699, 6424, 779, 1546, 518, 568, 606, 7489, 2249, 540, 13650, 602, 814, 4810, 513, 10565, 7771, 538, 922, 5065, 7226, 269, 20323, 1336, 538, 519, 19126, 543, 26377, 540, 3624, 267, 713, 2249, 729, 5176, 17255, 676, 519, 3735, 476, 866, 628, 2540, 269, 898, 729, 10710, 689, 14486, 998, 5726, 3646, 547, 32543, 28558, 621, 883, 6870, 2127, 282, 2705, 267, 1152, 513, 1906, 4627, 2043, 2611, 2221, 563, 763, 9960, 2623, 540, 28828, 6424, 779, 1546, 518, 568, 2189, 1851, 824, 14677, 1749, 1813, 547, 741, 1279, 3856, 30010, 1063, 9038, 543, 8951, 269, 1358, 849, 723, 1164, 2157, 540, 535, 23474, 950, 20282, 609, 835, 1776, 269, 1452, 5615, 2693, 7960, 607, 14624, 585, 6668, 538, 519, 26868, 9249, 1141, 789, 616, 1336, 267, 799, 1995, 20437, 14700, 2621, 543, 2154, 2831, 547, 3533, 556, 652, 28344, 1514, 2516, 1310, 19717, 610, 12761, 563, 8256, 3569, 3646, 723, 1044, 3811, 693, 4509, 14323, 5095, 538, 1896, 14425, 2066, 5607, 269, 10466, 3800, 1331, 535, 9760, 1055, 2127, 547, 3970, 1480, 1569, 267, 3742, 2359, 540, 3662, 2338, 547, 2569, 6735, 585, 1426, 2200, 267, 543, 27604, 9960, 3292, 547, 7110, 3552, 5095, 952, 2556, 563, 8601, 891, 7341, 267, 28828, 6424, 779, 1546, 518, 1869, 8188, 6937, 1519, 10363, 10122, 267, 7226, 9552, 267, 543, 2916, 1689, 269, 1306, 971, 267, 5571, 5464, 543, 1382, 786, 581, 2629, 585, 4180, 519, 11091, 540, 713, 2249, 936, 942, 563, 303, 699, 6424, 779, 13650, 568, 513, 2249, 540, 1804, 13650, 5065, 547, 3624, 269, 898, 568, 1634, 585, 922, 3982, 2168, 4162, 267, 799, 1331, 1884, 6840, 267, 10359, 2681, 267, 1560, 2450, 267, 11132, 2934, 543, 2766, 3337, 563, 763, 1034, 25992, 4183, 540, 28828, 6424, 779, 13650, 616, 741, 11141, 1884, 6840, 269, 634, 1884, 6840, 1332, 547, 606, 3328, 3259, 540, 476, 2568, 4699, 630, 2190, 538, 264, 543, 723, 909, 547, 8370, 2798, 829, 2427, 269, 1358, 949, 849, 723, 513, 13581, 7455, 2509, 519, 1439, 269, 22503, 2043, 8774, 741, 1884, 6840, 12422, 543, 556, 3766, 992, 873, 1142, 1032, 689, 4989, 547, 4864, 563, 763, 10359, 2681, 540, 713, 2249, 9832, 689, 1769, 6960, 1282, 4832, 3275, 547, 18632, 18707, 540, 6960, 1282, 5162, 3275, 269, 4706, 1560, 2450, 568, 3677, 982, 602, 540, 824, 14677, 1749, 609, 9038, 8757, 909, 547, 476, 8182, 4699, 630, 8287, 538, 264, 693, 519, 13105, 1247, 8951, 3914, 476, 9610, 4699, 630, 4649, 538, 1040, 901, 2249, 814, 1279, 10772, 543, 7986, 11132, 2934, 971, 607, 519, 3109, 18665, 14794, 269, 4706, 2766, 568, 2110, 3379, 547, 930, 824, 2818, 540, 519, 595, 969, 13160, 1920, 267, 7893, 1472, 476, 279, 1700, 1015, 4699, 630, 274, 1700, 275, 538, 1916, 14454, 267, 621, 666, 581, 2938, 602, 28828, 6424, 779, 1546, 518, 4865, 3875, 2189, 2168, 4162, 799, 1305, 873, 6306, 689, 824, 2818, 540, 741, 12593, 610, 1920, 269, 1452, 7592, 948, 5581, 713, 2249, 1312, 11617, 543, 2623, 958, 1369, 922, 2067, 7226, 563, 303, 699, 6424, 779, 13650, 814, 513, 2647, 7226, 2039, 543, 666, 581, 1336, 538, 3875, 2067, 9249, 267, 8151, 689, 803, 27595, 547, 19126, 269, 634, 2249, 568, 5065, 547, 519, 6360, 680, 1622, 540, 3624, 267, 4352, 1813, 547, 3140, 10122, 621, 1631, 1152, 4386, 593, 1079, 7463, 14425, 269, 4706, 9053, 7226, 2882, 26377, 609, 1164, 2157, 540, 1216, 610, 23047, 1506, 2127, 563, 763, 3662, 786, 22109, 4005, 958, 1063, 1114, 9249, 4470, 593, 1426, 8244, 543, 2837, 2175, 269, 898, 849, 7575, 1472, 1369, 922, 1753, 2039, 267, 1419, 1818, 1279, 15322, 950, 2556, 585, 6668, 269, 769, 2474, 540, 12119, 3350, 267, 28828, 6424, 779, 13650, 3335, 9468, 1930, 4610, 1282, 4832, 5503, 543, 1847, 883, 7733, 1282, 5162, 5503, 585, 12062, 543, 4027, 1996, 10792, 4365, 2175, 563, 19013, 267, 1454, 540, 519, 3312, 7226, 2039, 540, 713, 2249, 814, 1044, 27929, 676, 1480, 2238, 971, 607, 6683, 267, 20012, 543, 5533, 799, 723, 3361, 4049, 2551, 23229, 2066, 1034, 2694, 540, 741, 5449, 2039, 269, 11094, 3646, 616, 4061, 2877, 547, 2327, 519, 4797, 6228, 540, 713, 2189, 2249, 538, 922, 1585, 9249, 563, 268, 1677, 948, 8190, 28828, 6424, 779, 13650, 267, 5726, 1235, 723, 2919, 2994, 899, 32543, 3174, 3292, 543, 7226, 11808, 3785, 3248, 268, 1358, 723, 849, 8045, 4550, 1790, 334, 2286, 3800, 543, 3872, 11044, 602, 6318, 4656, 827, 519, 2956, 540, 8497, 891, 2831, 3248, 268, 8617, 5464, 540, 5095, 568, 5342, 693, 1896, 4609, 2429, 519, 1158, 538, 1931, 547, 1732, 1174, 741, 2623, 543, 2115, 865, 789, 666, 581, 6870, 14013, 563, 8601, 891, 3646, 267, 1713, 6937, 2611, 602, 1223, 2569, 610, 1256, 9004, 5095, 952, 711, 9619, 4166, 2614, 269, 4475, 2417, 1382, 1058, 581, 2944, 538, 1931, 547, 1732, 2149, 28828, 6424, 779, 13650, 538, 782, 741, 6967, 9249, 1354, 621, 3587, 1932, 3735, 563, 303, 699, 6424, 779, 13650, 267, 849, 1634, 607, 519, 2113, 340, 610, 1714, 7469, 675, 267, 568, 606, 21049, 2249, 540, 3624, 269, 4706, 2732, 5161, 5631, 540, 19584, 543, 28532, 9967, 540, 3762, 267, 21823, 267, 543, 19211, 282, 2705, 621, 949, 7110, 922, 2732, 609, 12748, 2371, 950, 2139, 563, 763, 1239, 6394, 689, 1585, 1382, 2090, 593, 519, 8192, 6208, 540, 28828, 6424, 779, 1546, 518, 6920, 602, 713, 2249, 20555, 5097, 593, 513, 3099, 540, 28301, 4054, 543, 19211, 1282, 14400, 3275, 282, 6466, 538, 15604, 3275, 621, 786, 3049, 811, 4749, 593, 10786, 17675, 1570, 971, 607, 21823, 543, 6822, 2471, 269, 634, 1739, 3349, 2488, 1344, 3823, 519, 6871, 5888, 540, 741, 11326, 912, 2005, 814, 1044, 4767, 602, 713, 2249, 15225, 12119, 2242, 547, 922, 8023, 2623, 1256, 1369, 519, 1482, 7226, 269, 769, 4832, 1813, 547, 11606, 540, 16714, 267, 789, 4782, 19855, 593, 3529, 8371, 2864, 982, 21737, 799, 4386, 811, 1419, 538, 5162, 950, 972, 616, 3908, 2200, 2139, 563, 12234, 267, 533, 699, 30602, 779, 13650, 4043, 547, 8532, 513, 9962, 2039, 540, 2030, 2010, 982, 824, 14677, 573, 2249, 2713, 538, 2147, 9249, 269, 901, 2882, 1312, 29762, 543, 1875, 6229, 344, 10664, 899, 585, 2125, 267, 22053, 543, 21263, 525, 269, 1306, 971, 267, 891, 2831, 616, 2111, 547, 7639, 1256, 896, 10792, 2175, 1141, 1426, 2959, 666, 581, 17077, 693, 2053, 563, 14454, 267, 28828, 6424, 779, 1546, 518, 616, 2111, 547, 3082, 3533, 547, 1114, 12405, 676, 4657, 741, 8023, 3270, 9935, 538, 1931, 547, 11694, 8770, 6981, 1247, 10893, 1648, 18820, 3976, 4543, 873, 8853, 5103, 4756, 4365, 2175, 563, 11328, 9146, 2060, 18972, 454, 3080, 540, 519, 1034, 4277, 3344, 540, 28828, 6424, 779, 13650, 568, 922, 5872, 609, 3425, 269, 769, 741, 5065, 7226, 267, 789, 616, 1634, 547, 30598, 7258, 1004, 267, 3056, 547, 513, 1950, 1480, 12845, 2711, 543, 1480, 3620, 629, 18945, 2078, 538, 6917, 2127, 540, 3624, 563, 763, 1585, 2081, 891, 2831, 2170, 609, 3425, 2039, 689, 6225, 15377, 267, 971, 607, 3246, 606, 1271, 2707, 540, 1426, 610, 4747, 585, 2199, 2950, 998, 10122, 543, 9467, 267, 547, 16609, 4093, 602, 8451, 950, 972, 568, 6735, 936, 2200, 543, 1761, 4655, 1063, 3425, 543, 13650, 563, 763, 4457, 723, 2919, 1896, 2994, 585, 5883, 713, 2249, 799, 2832, 547, 3895, 8994, 2640, 689, 519, 1480, 11546, 518, 30398, 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 ]
[ 998, 519, 32068, 23640, 883, 5333, 267, 1236, 597, 1154, 519, 7395, 514, 582, 7412, 543, 1287, 1159, 4770, 621, 689, 3297, 269, 901, 729, 513, 1007, 2186, 540, 13137, 10128, 13688, 267, 2011, 1379, 267, 25044, 267, 543, 5179, 1242, 26462, 883, 513, 5374, 5104, 1375, 1716, 2246, 10771, 3432, 344, 3350, 543, 12366, 1436, 540, 25071, 3255, 269, 681, 2174, 601, 6854, 513, 4760, 540, 1010, 2833, 269, 769, 713, 21626, 267, 646, 6257, 519, 2962, 593, 2904, 476, 1691, 607, 646, 5012, 513, 7382, 4323, 1996, 3943, 4229, 2282, 519, 631, 12956, 5211, 593, 519, 32068, 8473, 912, 273, 6301, 8490, 269, 634, 13675, 547, 26401, 594, 814, 513, 9754, 609, 513, 21576, 1141, 513, 476, 1428, 18826, 4670, 568, 3254, 267, 8929, 676, 21977, 10136, 519, 1554, 1310, 519, 3786, 729, 5391, 23306, 269, 898, 781, 1932, 8642, 585, 1453, 630, 604, 8197, 596, 3142, 873, 547, 26401, 5174, 597, 5287, 879, 693, 782, 1070, 543, 3790, 476, 274, 269, 276, 1990, 22119, 267, 3769, 538, 519, 3902, 540, 513, 11461, 4663, 269, 8058, 902, 1063, 476, 1556, 4456, 543, 476, 276, 15014, 267, 538, 2296, 593, 519, 5662, 543, 14470, 593, 519, 3368, 5662, 269, 22252, 894, 543, 23892, 269, 634, 29481, 543, 1857, 7036, 7891, 616, 1934, 269, 6333, 9140, 513, 476, 276, 1990, 22119, 3391, 1504, 610, 476, 276, 1990, 22119, 4786, 269, 12575, 454, 3528, 519, 1439, 540, 5181, 267, 519, 9399, 1185, 3323, 547, 1020, 4566, 547, 1244, 677, 7642, 547, 9241, 22983, 12996, 281, 519, 1101, 3268, 2509, 519, 9836, 12638, 602, 1131, 1246, 269, 769, 12996, 3294, 267, 5215, 540, 2717, 525, 543, 7642, 941, 17031, 909, 543, 8929, 267, 2038, 23053, 540, 519, 9836, 12638, 602, 1131, 1246, 269, 13966, 2515, 713, 267, 13609, 9516, 513, 1007, 10872, 540, 552, 30984, 547, 608, 32558, 622, 519, 27656, 11474, 543, 15508, 2192, 563, 17357, 636, 5170, 281, 4937, 9546, 750, 654, 1197, 16432, 513, 14985, 1634, 607, 634, 18430, 540, 519, 17224, 658, 2782, 269, 901, 3561, 267, 799, 519, 13198, 1111, 342, 25377, 7550, 267, 15653, 16902, 592, 1470, 8935, 2867, 781, 3069, 540, 9810, 26645, 269, 28015, 26645, 729, 16363, 547, 581, 834, 322, 3300, 1790, 8793, 2580, 2810, 2864, 982, 21006, 519, 10546, 781, 786, 547, 5706, 269, 6270, 26645, 11044, 941, 9833, 607, 4129, 542, 689, 519, 13198, 1111, 342, 25377, 781, 1292, 4238, 282, 9552, 540, 519, 10546, 11439, 4229, 269, 634, 10514, 902, 540, 2871, 1716, 3821, 267, 15585, 614, 17043, 543, 32160, 941, 28365, 13485, 538, 1489, 540, 4108, 4238, 543, 941, 711, 5497, 607, 7580, 9810, 6285, 563, 7212, 711, 10288, 547, 1491, 851, 267, 24004, 28748, 543, 1082, 17867, 5238, 941, 3238, 538, 519, 4058, 543, 8876, 856, 540, 13019, 5406, 570, 275, 693, 1169, 3942, 269, 2991, 17600, 689, 519, 4436, 7826, 543, 17557, 13039, 267, 13609, 10288, 519, 23545, 566, 540, 519, 570, 275, 1982, 538, 4864, 476, 3707, 272, 267, 4352, 519, 16981, 543, 15508, 2192, 4797, 547, 581, 7166, 2394, 519, 1439, 540, 519, 2112, 269, 634, 2564, 2146, 5781, 4607, 4703, 543, 1560, 2694, 585, 1382, 269, 661, 828, 14551, 20913, 2160, 4607, 476, 272, 267, 5881, 278, 4703, 689, 4291, 1903, 1063, 476, 4350, 274, 543, 476, 3707, 276, 269, 634, 5778, 27023, 626, 25840, 8065, 969, 867, 523, 4607, 476, 7597, 278, 12058, 689, 835, 6413, 1063, 476, 3707, 271, 543, 476, 3707, 275, 281, 834, 296, 7608, 891, 12058, 540, 1576, 269, 7316, 789, 3357, 689, 543, 875, 789, 3357, 547, 803, 729, 2731, 9039, 540, 1250, 1870, 4799, 19913, 785, 2401, 729, 18486, 7466, 593, 27421, 540, 3109, 2344, 2238, 543, 2899, 585, 8840, 519, 715, 675, 3088, 326, 16572, 676, 21098, 532, 513, 6014, 8004, 267, 606, 2962, 24193, 676, 519, 17813, 543, 1763, 564, 25557, 2920, 269, 634, 1101, 10654, 267, 538, 3735, 476, 3707, 272, 267, 3366, 547, 1864, 1373, 6854, 16074, 269, 3571, 23122, 11231, 585, 1010, 5305, 998, 5576, 785, 2401, 781, 9565, 17066, 538, 519, 13303, 9549, 269, 3571, 2034, 10654, 267, 593, 476, 3066, 4989, 476, 3707, 273, 267, 729, 519, 1267, 540, 1010, 21098, 532, 513, 6014, 8004, 593, 519, 32336, 693, 1010, 14512, 5428, 693, 519, 12051, 519, 3105, 1554, 269, 1261, 7283, 538, 21569, 2947, 2395, 1354, 1010, 9565, 13303, 17066, 941, 2111, 547, 3489, 1010, 5305, 269, 769, 5239, 476, 3707, 275, 267, 646, 729, 18486, 1586, 267, 15034, 540, 3109, 2344, 324, 1359, 543, 536, 1026, 532, 717, 7238, 628, 543, 1866, 547, 2087, 519, 2175, 540, 519, 6014, 4600, 269, 1261, 729, 4371, 585, 1034, 540, 513, 3018, 543, 5950, 269, 717, 7238, 628, 1185, 1044, 18486, 593, 476, 1724, 5181, 476, 3707, 275, 585, 13313, 543, 824, 28407, 540, 1379, 267, 543, 5576, 785, 2401, 781, 10654, 729, 851, 540, 519, 5571, 7634, 883, 717, 7238, 628, 781, 2238, 269, 717, 7238, 628, 729, 2760, 26722, 593, 1346, 10997, 267, 855, 729, 554, 6548, 676, 519, 10966, 2817, 17650, 26915, 540, 12996, 585, 2112, 10963, 593, 476, 1724, 5181, 476, 3707, 277, 269, 0, 23797, 5511, 6268, 540, 17208, 14342, 1210, 1535, 11920, 32250, 454, 10048, 3011, 1005, 3157, 540, 14453, 14342, 949, 1689, 519, 19916, 540, 519, 26543, 1533, 540, 519, 3742, 14453, 5820, 630, 4338, 296, 264, 610, 519, 2300, 760, 1801, 269, 1306, 713, 666, 1860, 519, 6915, 268, 822, 22355, 540, 519, 3075, 267, 972, 568, 606, 2810, 991, 547, 20272, 519, 3803, 5711, 18262, 1106, 269, 901, 2376, 2982, 602, 621, 568, 2009, 547, 946, 1535, 11920, 32250, 585, 11050, 2079, 540, 519, 16286, 538, 14342, 267, 1256, 952, 1346, 14342, 723, 513, 17208, 2627, 563, 2026, 513, 6093, 1383, 14342, 5627, 1473, 2210, 659, 514, 543, 1875, 268, 5562, 2300, 760, 1801, 941, 6027, 269, 634, 5439, 941, 5423, 676, 11427, 594, 674, 1460, 543, 4515, 269, 918, 11219, 6008, 742, 839, 630, 9743, 3482, 585, 14997, 11914, 5303, 267, 1234, 17430, 3832, 26179, 8862, 559, 3559, 916, 2160, 267, 12844, 333, 267, 5125, 1916, 763, 1473, 2210, 659, 514, 5536, 1185, 513, 1611, 2450, 540, 476, 274, 18725, 332, 269, 5221, 519, 14342, 1185, 513, 17208, 2627, 519, 7403, 941, 1500, 593, 513, 6252, 11237, 9511, 1062, 269, 589, 1612, 2378, 1371, 28410, 4858, 1375, 5174, 1370, 8457, 9511, 1131, 723, 1291, 547, 1804, 1219, 1371, 28410, 32623, 5928, 538, 519, 7403, 563, 2690, 519, 11050, 2079, 519, 8445, 1858, 8515, 540, 519, 1473, 2210, 659, 514, 630, 271, 476, 273, 476, 273, 264, 8086, 693, 476, 273, 336, 815, 476, 2641, 269, 3199, 585, 5722, 1114, 1473, 2210, 659, 514, 9830, 729, 5462, 563, 288, 1434, 2547, 10945, 3514, 630, 320, 11664, 540, 8990, 681, 273, 2673, 547, 835, 264, 729, 5833, 585, 519, 11604, 2173, 597, 2928, 9511, 563, 1607, 23363, 1899, 2636, 519, 8990, 540, 519, 1473, 2210, 659, 514, 5834, 609, 606, 6111, 540, 5111, 13008, 271, 269, 273, 9077, 3592, 835, 1931, 540, 9588, 1732, 982, 16155, 2838, 269, 2060, 519, 11604, 2173, 597, 2928, 9511, 267, 2705, 267, 827, 476, 1789, 3764, 540, 6482, 942, 568, 2877, 585, 8159, 835, 5834, 269, 1879, 519, 476, 273, 336, 2039, 568, 6854, 1507, 267, 621, 568, 2009, 547, 5372, 519, 18195, 539, 11237, 11604, 609, 606, 2473, 262, 290, 601, 518, 1807, 543, 3970, 519, 23735, 7007, 1858, 593, 519, 3732, 269, 769, 713, 1259, 267, 13380, 2164, 616, 5833, 538, 1447, 982, 835, 8792, 267, 609, 513, 5634, 2530, 538, 6111, 563, 1103, 606, 4674, 547, 3239, 2281, 693, 519, 22308, 1377, 267, 2475, 3173, 723, 2813, 606, 7357, 1007, 2483, 2414, 10018, 1164, 7779, 31534, 267, 9755, 991, 711, 1152, 547, 1852, 519, 19454, 543, 2483, 2691, 4881, 29508, 593, 513, 1591, 9196, 1062, 267, 2890, 30066, 5467, 610, 2095, 11118, 10309, 267, 666, 596, 581, 1862, 0, 763, 10652, 20723, 7997, 26328, 476, 272, 267, 20065, 2929, 5998, 476, 274, 630, 17168, 2929, 11465, 476, 274, 264, 609, 513, 1611, 3178, 540, 476, 274, 269, 6924, 5998, 630, 273, 269, 3066, 11465, 264, 543, 5021, 3178, 540, 476, 1556, 5998, 630, 277, 269, 279, 11465, 1040, 12551, 602, 2661, 538, 519, 10652, 20723, 7997, 616, 1572, 10652, 20723, 3165, 269, 19994, 20723, 1272, 11081, 609, 2810, 3178, 563, 303, 601, 20723, 5029, 1143, 513, 2030, 610, 3662, 602, 7610, 1080, 519, 1930, 4262, 543, 519, 2627, 540, 513, 10720, 267, 4262, 267, 610, 5836, 9789, 10652, 20723, 7997, 269, 19994, 20723, 7103, 616, 4334, 539, 609, 536, 5460, 545, 3283, 267, 602, 568, 267, 536, 5460, 657, 269, 1358, 616, 5258, 883, 7103, 602, 1780, 1947, 10581, 593, 519, 2627, 540, 519, 1216, 630, 921, 755, 517, 264, 610, 538, 922, 17909, 630, 680, 23975, 264, 543, 7103, 602, 7669, 630, 928, 330, 2023, 1040, 589, 4429, 763, 1739, 616, 519, 2101, 2798, 540, 11984, 1063, 519, 536, 5460, 545, 543, 10652, 20723, 10851, 269, 9537, 540, 5029, 3359, 634, 2362, 4525, 540, 519, 10652, 20723, 7997, 267, 971, 607, 519, 3134, 25100, 20723, 7997, 267, 4309, 606, 11606, 540, 7943, 267, 543, 8754, 267, 7103, 5827, 540, 15591, 616, 1336, 972, 563, 303, 601, 20723, 7997, 267, 8733, 7706, 602, 2882, 519, 3003, 5836, 1216, 6241, 269, 2986, 782, 519, 20948, 3047, 5054, 267, 519, 10652, 20723, 7997, 814, 519, 4102, 4320, 267, 476, 272, 267, 24907, 267, 1822, 267, 1822, 12945, 21240, 630, 20065, 267, 1822, 267, 1822, 12945, 5195, 1070, 543, 519, 6574, 7299, 2039, 267, 476, 1556, 267, 1822, 15432, 630, 3607, 267, 1822, 3952, 1040, 19994, 20723, 1272, 568, 1336, 2429, 519, 1216, 6241, 267, 4352, 519, 4429, 28398, 532, 585, 930, 476, 20065, 2929, 12945, 5195, 267, 519, 10652, 20723, 7997, 4534, 519, 21369, 7297, 540, 519, 5836, 4534, 568, 519, 1158, 779, 1034, 3573, 7226, 269, 4014, 5318, 10301, 540, 621, 616, 267, 3379, 547, 519, 18512, 17381, 540, 9381, 26441, 267, 5266, 3046, 1066, 267, 519, 1930, 5836, 4249, 3984, 547, 513, 5318, 5044, 540, 7320, 563, 14240, 540, 10652, 20723, 7103, 269, 1879, 6158, 827, 10652, 20723, 7103, 267, 649, 616, 13288, 547, 782, 1346, 2249, 602, 9468, 519, 1647, 7297, 540, 519, 12084, 543, 15798, 267, 610, 2282, 519, 2627, 1547, 1547, 4475, 267, 621, 568, 2312, 602, 713, 1826, 540, 12748, 2713, 7919, 3970, 267, 543, 1454, 267, 3346, 609, 2127, 540, 1390, 3178, 563, 3286, 513, 1507, 2179, 1369, 606, 11248, 666, 2333, 26255, 3599, 524, 31525, 641, 16104, 630, 6518, 2882, 519, 562, 2246, 559, 639, 267, 2695, 573, 543, 2759, 1479, 8127, 264, 723, 14461, 3154, 11149, 538, 741, 4703, 562, 2246, 559, 639, 814, 606, 5007, 7387, 454, 303, 601, 20723, 4214, 267, 540, 610, 11341, 547, 519, 1930, 15798, 610, 12084, 269, 6423, 811, 563, 303, 601, 20723, 3165, 2661, 538, 519, 10652, 20723, 7997, 540, 5836, 610, 10720, 7297, 1107, 1373, 9444, 2673, 547, 519, 5377, 6862, 2282, 519, 13272, 1107, 538, 4334, 609, 1629, 619, 531, 3165, 267, 799, 798, 2661, 593, 610, 2282, 519, 5377, 267, 543, 11818, 3165, 267, 799, 616, 2404, 609, 14147, 18625, 563, 12179, 2251, 10652, 20723, 814, 1945, 547, 798, 609, 519, 5836, 267, 2523, 519, 1930, 1858, 2484, 689, 519, 13272, 269, 19994, 20723, 5017, 543, 3165, 2443, 899, 27966, 267, 21297, 8127, 267, 543, 519, 9533, 25858, 514, 2443, 2661, 538, 519, 1930, 5836, 269, 0, 27745, 596, 5225, 2995, 803, 1018, 5395, 27019, 11437, 568, 15017, 32513, 27019, 11437, 568, 513, 2262, 602, 1797, 519, 942, 950, 12489, 1996, 7486, 616, 1500, 676, 519, 4761, 1062, 543, 666, 581, 9571, 538, 519, 1973, 269, 1879, 1004, 1831, 7783, 609, 7486, 267, 621, 3217, 513, 1906, 2395, 585, 519, 3968, 547, 1831, 10423, 269, 15020, 2038, 267, 649, 666, 3713, 7486, 3968, 676, 7893, 519, 2157, 540, 3644, 269, 25095, 3672, 616, 711, 1459, 538, 519, 1973, 2943, 630, 26078, 518, 27019, 11437, 1040, 589, 1906, 4374, 2663, 267, 519, 1560, 5956, 1818, 12489, 1996, 519, 3644, 267, 799, 666, 1631, 581, 9571, 676, 6671, 4255, 630, 338, 518, 27019, 11437, 1040, 631, 295, 0, 25811, 1359, 9972, 3296, 563, 305, 2967, 267, 631, 269, 543, 570, 269, 2871, 612, 269, 4972, 540, 20996, 7177, 267, 2160, 540, 16713, 734, 298, 12436, 4975, 269, 4886, 2986, 589, 8422, 667, 7645, 32492, 25674, 7844, 2986, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 293, 565, 997, 592, 4345, 568, 835, 540, 519, 1906, 2960, 2175, 602, 616, 711, 2731, 1272, 17116, 269, 13298, 267, 621, 568, 30414, 543, 8353, 24312, 796, 921, 2084, 563, 2252, 596, 616, 11842, 1018, 568, 21155, 592, 4345, 267, 519, 2626, 568, 6654, 281, 621, 568, 606, 6553, 540, 519, 4552, 32235, 267, 799, 568, 3361, 676, 1896, 2188, 267, 971, 607, 3968, 267, 3114, 16698, 543, 2168, 5945, 563, 18814, 547, 922, 4763, 540, 3123, 267, 21155, 592, 4345, 666, 2097, 538, 513, 3099, 540, 5546, 543, 3029, 281, 9190, 267, 16507, 267, 10194, 543, 26220, 21155, 592, 4345, 269, 634, 1034, 1455, 8390, 540, 21155, 592, 4345, 568, 519, 9190, 1106, 543, 689, 602, 1804, 1895, 267, 1134, 1634, 543, 3262, 568, 519, 1106, 1634, 676, 519, 1804, 1857, 607, 968, 14653, 8685, 21155, 592, 4345, 9731, 31640, 8685, 21155, 592, 4345, 814, 513, 15116, 2012, 267, 547, 2161, 519, 2547, 269, 24511, 267, 621, 3947, 513, 7168, 5140, 6609, 540, 519, 2783, 3294, 269, 12182, 8685, 21155, 592, 4345, 568, 606, 6553, 540, 519, 4552, 32235, 267, 1813, 547, 513, 9190, 19800, 8665, 1572, 28342, 14137, 553, 7098, 1872, 514, 6242, 269, 901, 14229, 21294, 543, 2356, 1875, 628, 17816, 24059, 568, 711, 1634, 585, 922, 2205, 12040, 4162, 269, 2334, 568, 1317, 621, 3622, 1281, 711, 2014, 1022, 4990, 540, 4576, 269, 28791, 621, 568, 2016, 519, 1318, 2175, 547, 798, 865, 281, 811, 547, 519, 1448, 267, 8259, 538, 3636, 543, 6632, 5054, 267, 621, 568, 17608, 607, 513, 3043, 25190, 517, 563, 4913, 267, 2899, 538, 513, 3905, 8685, 267, 513, 627, 20071, 23051, 267, 513, 1216, 13472, 267, 513, 1610, 23956, 7535, 610, 513, 18552, 8685, 267, 28342, 14137, 553, 2501, 547, 11763, 1272, 543, 12958, 21155, 592, 4345, 269, 634, 1034, 6534, 547, 3905, 8685, 21155, 592, 4345, 616, 267, 711, 19599, 267, 1453, 543, 11361, 2367, 543, 2021, 267, 2094, 891, 6688, 540, 1004, 6108, 513, 2603, 540, 942, 538, 3636, 1216, 563, 3080, 3364, 602, 24508, 3905, 8685, 21155, 592, 4345, 689, 782, 519, 824, 3029, 540, 21155, 592, 4345, 568, 922, 1875, 1107, 21380, 1915, 269, 9521, 922, 8593, 3298, 267, 621, 1281, 711, 3262, 676, 2960, 1107, 593, 1107, 2960, 15700, 540, 519, 7783, 15087, 267, 6862, 676, 4687, 28734, 610, 9660, 269, 1717, 267, 1346, 616, 1869, 711, 5227, 676, 1022, 4990, 540, 9882, 11285, 563, 31640, 31793, 23205, 997, 592, 4345, 681, 1662, 454, 763, 1152, 2731, 30414, 23314, 540, 3905, 8685, 21155, 592, 4345, 568, 513, 16420, 602, 621, 2583, 899, 21173, 269, 898, 6799, 3294, 538, 513, 3126, 540, 1507, 476, 271, 269, 276, 10759, 2699, 13099, 2737, 610, 765, 1023, 609, 513, 3844, 533, 755, 2544, 269, 26023, 267, 519, 851, 540, 707, 2960, 602, 814, 2097, 538, 1463, 543, 12675, 3346, 609, 519, 7783, 1216, 786, 581, 4904, 609, 26070, 543, 21743, 28283, 602, 621, 577, 543, 786, 8831, 952, 596, 3112, 3247, 3054, 689, 15700, 873, 563, 9827, 267, 596, 723, 547, 1832, 538, 2247, 602, 519, 2127, 540, 707, 1560, 602, 723, 1044, 4988, 609, 513, 28876, 9290, 610, 513, 6632, 24621, 786, 1034, 2693, 581, 519, 1101, 3283, 547, 8915, 519, 2370, 2220, 32478, 563, 763, 16420, 267, 1247, 9636, 532, 543, 19448, 20469, 267, 568, 1732, 2451, 547, 12115, 593, 922, 1378, 269, 1403, 782, 4422, 7363, 267, 621, 1058, 14897, 538, 476, 278, 547, 476, 1015, 2395, 269, 630, 31640, 31793, 681, 1662, 595, 675, 264, 634, 8912, 1576, 540, 713, 3676, 685, 21454, 568, 602, 1739, 519, 14897, 766, 540, 519, 16420, 267, 513, 13581, 5409, 6477, 7695, 786, 2408, 267, 6028, 519, 2960, 513, 18632, 12094, 540, 11909, 610, 1256, 2699, 269, 901, 1058, 8207, 3294, 538, 1896, 3275, 563, 2710, 711, 581, 19225, 2989, 952, 596, 1745, 13110, 543, 4652, 21682, 538, 519, 1101, 2395, 689, 519, 15457, 819, 540, 519, 16420, 269, 898, 568, 3339, 269, 1548, 568, 711, 1455, 543, 621, 1058, 581, 6318, 513, 2243, 1665, 568, 8611, 269, 1403, 707, 2837, 6173, 919, 547, 6397, 2418, 267, 596, 1058, 3346, 513, 2564, 4387, 5612, 563, 31640, 31793, 23205, 997, 592, 4345, 9615, 454, 763, 2126, 585, 3905, 8685, 21155, 592, 4345, 568, 5594, 8966, 281, 538, 922, 811, 7928, 3029, 267, 713, 1826, 540, 21155, 592, 4345, 7106, 8986, 593, 922, 1378, 543, 1281, 711, 2154, 1022, 4990, 540, 2027, 2126, 269, 630, 476, 1724, 7849, 3816, 12203, 1280, 23205, 997, 592, 4345, 2073, 12182, 31793, 681, 1662, 595, 675, 264, 1717, 267, 952, 707, 533, 755, 2737, 798, 711, 14897, 538, 827, 513, 3018, 547, 476, 1015, 2395, 267, 596, 1590, 3643, 513, 17172, 6048, 269, 901, 2960, 11285, 786, 4440, 4363, 596, 519, 1739, 912, 268, 15233, 16693, 14771, 525, 547, 519, 4299, 2127, 585, 8938, 3764, 267, 1079, 547, 2185, 2053, 829, 5884, 563, 268, 18234, 9829, 611, 27927, 710, 8645, 281, 621, 1058, 581, 4294, 593, 519, 4299, 2127, 547, 948, 519, 18024, 540, 519, 533, 755, 2737, 3248, 268, 17327, 11216, 630, 27457, 549, 4148, 2135, 659, 514, 2567, 519, 16999, 540, 5574, 267, 1152, 2877, 585, 519, 11259, 610, 7839, 3029, 563, 1692, 547, 16473, 12182, 31793, 23205, 997, 592, 4345, 454, 2467, 616, 930, 3676, 856, 972, 602, 3274, 3112, 581, 15286, 269, 12182, 8685, 21155, 592, 4345, 568, 711, 835, 540, 873, 269, 2290, 3364, 596, 723, 547, 3314, 568, 602, 17643, 532, 1310, 3346, 609, 519, 7783, 1216, 568, 711, 2469, 547, 6146, 519, 19800, 8665, 269, 1717, 267, 952, 596, 5402, 1246, 891, 3268, 267, 596, 1058, 581, 10930, 982, 1034, 912, 268, 31207, 519, 1216, 538, 707, 6703, 11179, 547, 9004, 4666, 2960, 563, 268, 18554, 7683, 519, 21149, 656, 2157, 563, 268, 7827, 519, 1216, 4749, 269, 0, 4596, 7563, 12114, 9501, 292, 3633, 306, 7486, 24202, 9501, 3918, 4696, 5442, 595, 5085, 11862, 454, 3528, 661, 269, 808, 269, 631, 1495, 749, 454, 3725, 26407, 476, 1691, 4924, 269, 476, 1220, 273, 454, 6124, 3840, 4534, 20226, 723, 1279, 1634, 602, 25933, 6057, 454, 16780, 2227, 2471, 19408, 5615, 5532, 547, 3968, 609, 7486, 269, 3767, 267, 1382, 454, 514, 8983, 5267, 519, 3075, 949, 849, 3432, 519, 1591, 3562, 16052, 3262, 540, 454, 1492, 3644, 676, 909, 547, 476, 1220, 2389, 1307, 563, 21893, 568, 1271, 267, 1317, 25933, 946, 734, 14588, 32496, 11523, 454, 322, 665, 12578, 734, 529, 513, 1713, 1857, 1072, 1966, 267, 543, 621, 781, 3226, 454, 338, 22658, 538, 5095, 693, 1981, 585, 24931, 7486, 2437, 1767, 454, 516, 572, 2117, 615, 3220, 269, 22985, 548, 25930, 7773, 267, 540, 519, 2160, 540, 4993, 267, 11968, 454, 17951, 7062, 269, 4173, 2319, 3370, 741, 4681, 538, 519, 4728, 3390, 540, 519, 454, 22711, 540, 29956, 15302, 563, 28095, 2551, 2861, 2090, 723, 6700, 602, 7486, 5829, 454, 323, 1047, 848, 22264, 5488, 538, 3075, 705, 22852, 982, 538, 1875, 268, 22852, 269, 1717, 2676, 25677, 543, 4052, 4145, 723, 5921, 602, 922, 5176, 7543, 454, 1729, 4163, 856, 2090, 602, 1131, 2268, 519, 2360, 540, 25933, 593, 7486, 454, 4944, 1348, 693, 519, 10408, 1377, 563, 1103, 741, 1382, 267, 25930, 7773, 781, 2319, 2919, 513, 10856, 2203, 540, 1480, 7486, 454, 26529, 269, 1358, 1101, 1098, 680, 5896, 1480, 2281, 883, 8983, 267, 1287, 454, 17126, 539, 1346, 2281, 609, 7486, 269, 8921, 267, 789, 10480, 930, 540, 519, 8983, 25933, 454, 514, 5277, 1106, 267, 693, 13121, 1137, 10199, 13380, 547, 1346, 1031, 676, 1480, 454, 5417, 1112, 338, 269, 634, 1964, 540, 519, 8983, 4607, 1100, 25933, 563, 30948, 649, 1336, 729, 602, 25933, 946, 13497, 18965, 519, 454, 4944, 1348, 540, 7486, 3968, 2437, 25930, 7773, 5143, 1234, 26407, 2657, 269, 769, 1249, 267, 519, 454, 29188, 2281, 540, 8983, 10480, 25933, 1185, 5176, 476, 1220, 2053, 519, 1377, 540, 454, 341, 6400, 540, 1346, 945, 1705, 711, 4309, 519, 3075, 563, 13010, 267, 25933, 1922, 539, 23224, 4810, 1713, 5945, 547, 454, 26132, 4761, 1949, 267, 607, 1134, 269, 834, 2467, 729, 513, 10565, 6175, 538, 519, 454, 15893, 540, 7131, 275, 266, 570, 2281, 734, 28205, 616, 835, 540, 519, 3119, 10408, 4761, 454, 3698, 11367, 267, 543, 519, 3077, 1591, 540, 3903, 585, 7486, 2437, 25930, 7773, 1767, 563, 6097, 547, 519, 3173, 267, 519, 1297, 540, 7131, 275, 266, 2281, 8593, 476, 280, 2053, 454, 325, 2120, 538, 14148, 10480, 25933, 8957, 1346, 602, 941, 711, 563, 763, 3169, 6127, 3297, 25933, 781, 1764, 593, 7486, 543, 4761, 1072, 454, 8145, 1622, 15458, 269, 834, 2467, 6157, 616, 930, 9072, 649, 666, 1413, 693, 2437, 454, 289, 12245, 7773, 1767, 269, 834, 290, 665, 12578, 3085, 1405, 960, 676, 3294, 1862, 527, 814, 513, 1297, 540, 454, 2421, 335, 20094, 267, 543, 891, 676, 335, 20094, 666, 957, 593, 7486, 269, 1452, 666, 1331, 454, 628, 902, 607, 3551, 607, 10408, 18657, 2209, 971, 607, 29299, 2676, 4818, 2432, 799, 723, 1044, 2907, 3254, 547, 723, 606, 1198, 593, 7486, 454, 516, 6473, 1701, 23081, 12578, 543, 922, 676, 335, 20094, 1522, 849, 948, 7486, 2736, 454, 32381, 540, 519, 1259, 538, 799, 621, 20739, 6545, 688, 22106, 609, 7486, 267, 519, 5048, 454, 1729, 7486, 25698, 2043, 734, 528, 4896, 3116, 734, 572, 2114, 2312, 281, 3251, 2476, 454, 257, 10214, 952, 25933, 1185, 1100, 1198, 593, 7486, 18643, 267, 519, 4539, 540, 454, 2224, 538, 4761, 16327, 668, 2213, 2551, 568, 1360, 3551, 2437, 25930, 7773, 454, 2254, 539, 269, 1809, 2963, 602, 25933, 1223, 2965, 3432, 519, 3262, 540, 454, 295, 4353, 1369, 2281, 949, 1631, 1611, 602, 834, 1492, 13657, 1996, 713, 4990, 540, 454, 516, 920, 1049, 3075, 946, 814, 1631, 1044, 2799, 476, 1220, 24670, 2437, 1352, 1767, 563, 13126, 281, 634, 4750, 540, 29956, 15302, 267, 476, 1220, 273, 281, 6977, 281, 3583, 272, 268, 3583, 276, 269, 0, 763, 1309, 1632, 568, 22801, 267, 547, 581, 9237, 269, 12928, 662, 11856, 1705, 711, 20374, 267, 1175, 1317, 519, 29843, 4503, 741, 2956, 593, 519, 25071, 269, 898, 1869, 6818, 2221, 267, 1034, 4583, 616, 15983, 519, 1114, 9753, 538, 4279, 6628, 2221, 269, 4432, 2023, 3627, 543, 1530, 534, 1230, 1676, 344, 616, 1079, 4583, 1806, 585, 2413, 1554, 29843, 269, 2986, 1576, 596, 786, 711, 1294, 873, 11878, 883, 6370, 563, 10214, 689, 519, 21169, 540, 513, 4108, 14787, 519, 3169, 942, 540, 519, 1439, 540, 519, 29843, 593, 519, 25071, 3112, 581, 3989, 269, 769, 1034, 2665, 519, 8798, 540, 519, 3109, 8869, 568, 2938, 607, 519, 1292, 2601, 585, 519, 1439, 540, 519, 5230, 6186, 10696, 26348, 538, 6370, 269, 1809, 952, 596, 1491, 513, 6251, 1413, 596, 786, 1294, 602, 713, 568, 711, 519, 5168, 269, 1284, 777, 976, 609, 3109, 8869, 11478, 2907, 538, 2053, 602, 616, 1634, 607, 519, 28480, 1974, 540, 519, 29843, 267, 538, 519, 1164, 1647, 6502, 269, 1656, 849, 538, 2663, 2053, 519, 29816, 4229, 941, 513, 2629, 3815, 538, 1114, 12959, 269, 2334, 891, 26348, 1705, 711, 4866, 1152, 547, 519, 28665, 1022, 3476, 729, 711, 519, 1267, 540, 519, 7835, 538, 9604, 2029, 855, 540, 513, 1007, 1259, 547, 15313, 7980, 630, 15367, 538, 713, 2053, 666, 2731, 581, 1572, 7980, 3079, 540, 21847, 264, 543, 538, 6370, 12485, 269, 30330, 523, 2456, 2968, 811, 1271, 269, 1717, 267, 519, 10492, 1869, 3357, 689, 519, 28665, 269, 634, 3759, 1890, 6240, 729, 5189, 585, 519, 1101, 942, 676, 19167, 12844, 777, 27525, 267, 513, 1279, 942, 1310, 519, 1439, 540, 519, 1647, 6502, 269, 4634, 1310, 519, 1647, 6502, 621, 729, 1455, 1369, 519, 10492, 547, 1491, 851, 538, 519, 10997, 540, 519, 29816, 267, 513, 882, 1112, 689, 10120, 2053, 269, 2368, 540, 1164, 20823, 10492, 941, 20754, 610, 7166, 538, 891, 10997, 267, 513, 4583, 1383, 568, 519, 16528, 4622, 29775, 822, 29747, 945, 729, 7166, 1247, 3056, 513, 29816, 5279, 538, 519, 476, 1789, 1296, 2112, 563, 2467, 941, 2629, 2242, 538, 6370, 12485, 538, 519, 1647, 6502, 269, 932, 1173, 525, 13401, 676, 519, 29843, 4805, 941, 538, 1082, 2665, 711, 13151, 525, 995, 269, 901, 729, 1101, 540, 782, 519, 1267, 540, 519, 2810, 9015, 540, 519, 26462, 543, 519, 811, 2500, 12485, 543, 14049, 787, 269, 7043, 561, 1734, 267, 533, 10105 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1492, 5817, 3060, 543, 922, 2298, 634, 3432, 540, 875, 3533, 513, 3758, 1223, 581, 3838, 6013, 1369, 519, 5817, 3060, 799, 814, 519, 10700, 14919, 19961, 269, 1306, 6402, 616, 711, 2356, 1031, 547, 922, 2407, 4390, 1813, 547, 6808, 267, 3758, 3892, 2773, 568, 2141, 1447, 2989, 269, 589, 3983, 4276, 1419, 1797, 17799, 543, 991, 585, 1427, 4920, 3939, 267, 4929, 4420, 6352, 1815, 802, 585, 602, 3758, 4483, 936, 519, 9138, 3095, 269, 1717, 267, 1079, 5121, 1223, 581, 4448, 998, 513, 2582, 1970, 1532, 663, 12296, 3095, 547, 581, 5302, 7757, 454, 1993, 5904, 267, 13033, 568, 519, 2259, 540, 16046, 1079, 610, 811, 7384, 3457, 1927, 585, 519, 3483, 540, 4687, 1239, 269, 2368, 1004, 2307, 1946, 1058, 594, 991, 547, 1305, 909, 513, 1753, 3060, 269, 1703, 616, 1896, 5383, 547, 4259, 909, 513, 1753, 3060, 269, 10705, 596, 1522, 1616, 513, 3758, 610, 1982, 789, 4312, 22434, 689, 519, 4880, 547, 581, 2139, 547, 782, 540, 519, 5904, 693, 1753, 269, 2060, 513, 1753, 3060, 6119, 666, 581, 3838, 811, 10375, 569, 267, 5488, 14874, 8429, 6119, 1472, 593, 1166, 31463, 625, 610, 7131, 543, 4687, 6119, 563, 291, 25353, 25265, 7419, 2975, 25972, 1299, 715, 4953, 310, 3036, 32578, 11550, 297, 17614, 4083, 8416, 16841, 267, 1018, 621, 568, 286, 1656, 875, 621, 779, 7133, 519, 2949, 2773, 540, 3003, 3060, 1062, 286, 24639, 13696, 3951, 307, 3633, 15760, 281, 6789, 300, 589, 269, 918, 2752, 8379, 9501, 305, 5058, 268, 1001, 273, 595, 3951, 268, 24907, 268, 1839, 6789, 631, 918, 8121, 22558, 623, 589, 12283, 910, 476, 272, 623, 2894, 10064, 312, 299, 309, 3198, 8656, 23333, 4041, 12283, 5508, 570, 22379, 9474, 22552, 16898, 769, 2489, 2474, 267, 16841, 1797, 4376, 3063, 602, 12582, 685, 512, 581, 269, 1924, 1018, 568, 16841, 538, 13033, 610, 875, 621, 779, 7133, 519, 3003, 3060, 2773, 286, 898, 1281, 711, 3100, 13061, 585, 721, 547, 917, 1945, 602, 1034, 540, 454, 3719, 1101, 267, 1896, 9465, 1590, 581, 9619, 547, 2743, 519, 6662, 282, 1034, 11932, 267, 8939, 519, 1655, 4950, 4276, 585, 519, 1788, 269, 2657, 1416, 3549, 616, 5051, 13461, 593, 3060, 539, 1344, 1949, 547, 2671, 3461, 1239, 543, 5638, 269, 4475, 267, 7446, 519, 2953, 4950, 1569, 2029, 568, 1883, 547, 1022, 2754, 945, 6499, 547, 581, 8013, 538, 713, 1604, 269, 18641, 585, 23244, 267, 972, 616, 1896, 4950, 1569, 3681, 2139, 585, 713, 1788, 282, 891, 1331, 454, 1103, 2489, 267, 9263, 3562, 24406, 518, 630, 303, 273, 303, 264, 568, 13288, 547, 513, 3060, 602, 4448, 782, 519, 5904, 593, 519, 1482, 3060, 543, 3850, 873, 547, 2671, 519, 2200, 2047, 1510, 2469, 998, 513, 5094, 7746, 269, 2755, 3758, 4687, 568, 1797, 1818, 519, 3758, 585, 1866, 2043, 547, 1569, 543, 4647, 269, 3683, 519, 2250, 1906, 1296, 267, 623, 273, 303, 2029, 814, 1044, 4922, 1031, 538, 3758, 4687, 269, 898, 666, 581, 1031, 547, 2671, 513, 2338, 1826, 540, 6119, 593, 519, 5769, 267, 971, 607, 1257, 6119, 267, 2575, 267, 9413, 267, 3756, 267, 2780, 3301, 267, 3092, 563, 8368, 540, 12937, 3143, 269, 12474, 8525, 476, 272, 269, 4985, 476, 272, 476, 273, 269, 5303, 779, 3498, 476, 273, 476, 274, 269, 4578, 2792, 1523, 476, 275, 476, 275, 269, 5303, 7207, 476, 276, 476, 276, 269, 6201, 540, 713, 2029, 602, 568, 1373, 1031, 538, 519, 2344, 476, 277, 476, 277, 269, 22436, 543, 32539, 476, 279, 476, 278, 269, 10390, 476, 280, 476, 279, 269, 22108, 2387, 280, 476, 280, 269, 4985, 540, 476, 274, 294, 476, 274, 294, 1797, 968, 23612, 19087, 892, 585, 5985, 7658, 23890, 2029, 269, 898, 4483, 2557, 693, 2547, 476, 1220, 4893, 984, 344, 5052, 829, 2034, 585, 1344, 4483, 269, 898, 568, 5488, 982, 4505, 5108, 454, 2537, 7658, 1260, 10580, 267, 609, 519, 10131, 540, 717, 15551, 5985, 2533, 538, 14076, 553, 22474, 269, 2991, 10888, 519, 476, 274, 294, 543, 645, 23354, 8552, 267, 2838, 585, 1164, 3432, 1239, 543, 19180, 2533, 267, 538, 476, 1724, 543, 476, 279, 10580, 6606, 267, 5794, 4897, 2968, 519, 4102, 11346, 538, 3127, 609, 8552, 17956, 585, 1985, 454, 275, 294, 29942, 17978, 14424, 543, 4334, 476, 274, 294, 12616, 5121, 547, 476, 275, 294, 5121, 538, 2474, 540, 281, 476, 274, 294, 543, 476, 275, 294, 12616, 5121, 666, 581, 3379, 543, 4334, 539, 676, 2185, 2127, 540, 7207, 281, 6796, 543, 3498, 267, 3060, 6189, 267, 1239, 998, 1584, 543, 3593, 8226, 269, 968, 5278, 1806, 540, 2533, 6035, 676, 476, 274, 294, 12616, 5121, 616, 7131, 7246, 1220, 271, 630, 10193, 1634, 607, 594, 21587, 11638, 10111, 8175, 630, 8379, 307, 10157, 1070, 17629, 16353, 17791, 20664, 3590, 630, 9331, 4811, 1070, 543, 11581, 12283, 607, 1134, 607, 513, 1279, 1592, 540, 1866, 1247, 476, 275, 294, 2709, 2622, 4204, 454, 341, 23709, 1604, 269, 594, 849, 4603, 539, 609, 8848, 1005, 533, 325, 306, 1619, 547, 581, 1250, 24891, 1063, 519, 5691, 3060, 543, 681, 3951, 338, 681, 299, 2464, 5989, 269, 1703, 729, 849, 519, 4367, 540, 4259, 909, 1312, 513, 530, 5942, 543, 513, 5464, 3070, 267, 799, 594, 8359, 547, 946, 9012, 310, 5942, 543, 18491, 3930, 16424, 8827, 585, 1250, 2533, 269, 476, 273, 269, 17317, 1116, 543, 22252, 1049, 11657, 566, 2353, 1344, 17640, 547, 1250, 5691, 3060, 666, 581, 1336, 693, 519, 2232, 5291, 2517, 1015, 269, 271, 269, 1428, 269, 272, 28293, 950, 3330, 1250, 5989, 269, 898, 3568, 782, 519, 454, 4621, 573, 3130, 519, 19961, 2139, 547, 3593, 543, 547, 2285, 3593, 4433, 264, 10531, 16252, 1759, 593, 741, 3105, 2238, 269, 3040, 634, 2923, 630, 11947, 6571, 264, 23345, 883, 6531, 3403, 19943, 786, 581, 10736, 547, 513, 1297, 540, 1114, 6402, 269, 3040, 3962, 3095, 786, 723, 513, 3898, 540, 519, 3381, 269, 3962, 3095, 786, 581, 1586, 10736, 883, 1114, 21368, 269, 3040, 634, 3593, 666, 1569, 519, 23345, 1239, 998, 741, 3498, 610, 3896, 269, 3040, 634, 3896, 610, 3498, 786, 1491, 883, 30321, 519, 3593, 19961, 1344, 0, 396, 509, 16417, 9686, 20977, 15671, 3522, 27671, 11714, 25974, 13150, 31606, 13833, 4138, 31224, 267, 30935, 18547, 13194, 28476, 267, 17095, 7846, 10528, 4138, 31224, 18194, 4138, 10528, 6459, 21134, 31560, 7846, 13194, 3522, 11714, 2843, 375, 19628, 16648, 21134, 28314, 18775, 19757, 3264, 2843, 510, 25974, 4736, 4138, 4138, 269, 2843, 351, 17201, 9841, 7549, 3378, 21660, 13150, 3378, 9326, 27569, 4138, 13953, 25338, 20977, 4709, 7549, 2843, 497, 396, 508, 396, 501, 396, 507, 396, 494, 396, 504, 11012, 28314, 3522, 13077, 4709, 28821, 3264, 13953, 563, 8698, 902, 281, 476, 3393, 276, 271, 2690, 519, 1032, 547, 519, 2627, 540, 519, 3047, 568, 9991, 711, 1447, 982, 5215, 540, 14368, 2572, 267, 855, 3744, 616, 1906, 269, 20290, 782, 540, 873, 1336, 676, 4960, 269, 1703, 616, 1614, 1292, 1362, 540, 14368, 2572, 269, 11635, 616, 4396, 4773, 540, 4401, 9539, 1157, 601, 18585, 269, 2098, 515, 548, 345, 528, 644, 5500, 324, 7618, 4496, 26703, 267, 4904, 609, 3623, 6510, 1570, 269, 2201, 3047, 891, 7725, 798, 711, 2049, 269, 12942, 14368, 2572, 547, 917, 811, 2352, 269, 24344, 569, 547, 798, 621, 693, 519, 2754, 269, 1717, 267, 519, 14724, 2934, 540, 14368, 2572, 666, 581, 9138, 563, 272, 269, 14451, 5860, 281, 14368, 2572, 9875, 982, 25342, 610, 24348, 7725, 454, 273, 269, 2201, 519, 2627, 540, 14368, 2572, 568, 1419, 7298, 1036, 1275, 910, 1159, 2393, 1117, 1244, 11306, 267, 899, 546, 757, 11263, 593, 10036, 563, 274, 269, 6884, 20218, 1106, 281, 513, 14368, 924, 2147, 547, 31555, 2212, 540, 519, 1788, 850, 563, 275, 269, 769, 519, 4195, 12215, 7298, 4158, 267, 6094, 630, 12671, 476, 272, 6515, 264, 13621, 12933, 563, 276, 269, 634, 17795, 568, 1419, 15454, 2681, 267, 799, 568, 3006, 18476, 1507, 630, 12671, 476, 272, 6515, 264, 3440, 910, 26673, 787, 563, 277, 269, 634, 5354, 616, 25509, 3296, 2982, 1025, 582, 2583, 540, 17285, 4401, 563, 278, 269, 31838, 11275, 1436, 281, 519, 22315, 1821, 28179, 6825, 569, 563, 279, 269, 3683, 942, 12444, 1242, 538, 519, 2011, 267, 609, 6960, 267, 15309, 2681, 563, 280, 269, 634, 4401, 14368, 2572, 593, 519, 25509, 543, 1160, 307, 1778, 518, 3679, 2474, 1419, 2408, 11097, 2006, 560, 520, 1084, 5515, 910, 1804, 14848, 540, 4496, 563, 14187, 547, 917, 849, 1018, 519, 14368, 2572, 798, 711, 4755, 563, 272, 269, 25561, 2572, 2760, 535, 4310, 998, 899, 1793, 698, 543, 723, 1100, 3330, 18616, 267, 8900, 1309, 591, 985, 563, 273, 269, 3143, 561, 8727, 267, 1419, 4767, 538, 519, 32549, 267, 9995, 7723, 267, 14022, 13273, 328, 7725, 563, 274, 269, 3143, 19941, 7725, 899, 25879, 267, 14680, 267, 12373, 558, 924, 563, 275, 269, 3143, 15455, 281, 7387, 16493, 540, 8093, 21426, 267, 3092, 563, 276, 269, 634, 14368, 2572, 616, 1100, 1804, 12627, 2497, 267, 971, 607, 25342, 454, 277, 269, 25561, 2572, 2887, 711, 3905, 543, 666, 2014, 17236, 267, 3595, 563, 278, 269, 12096, 568, 3592, 19794, 267, 865, 519, 6885, 540, 14368, 2572, 666, 1405, 8038, 563, 279, 269, 1403, 596, 4718, 10240, 728, 267, 621, 1797, 602, 519, 14368, 924, 8593, 2476, 689, 596, 267, 1082, 5195, 269, 1924, 538, 519, 8378, 547, 1265, 1864, 711, 4502, 621, 563, 18404, 11136, 2572, 616, 1360, 1390, 3621, 1871, 267, 607, 789, 616, 31373, 14111, 6219, 269, 769, 519, 2680, 540, 4681, 540, 741, 991, 547, 4688, 543, 6494, 547, 519, 3621, 5238, 269, 9142, 540, 7070, 540, 6576, 17758, 540, 519, 7606, 945, 4547, 1200, 14368, 2572, 269, 1403, 972, 568, 513, 13766, 547, 2638, 519, 1558, 324, 7595, 5169, 540, 1022, 540, 519, 3732, 267, 621, 1058, 581, 7745, 2476, 610, 547, 2759, 1055, 513, 4062, 540, 476, 2004, 268, 1911, 575, 543, 6494, 621, 547, 281, 476, 14056, 27123, 267, 18293, 267, 8265, 12756, 772, 569, 534, 13960, 267, 476, 274, 267, 9730, 593, 14368, 2572, 540, 519, 9142, 540, 7070, 540, 519, 6739, 18966, 563, 2710, 711, 5855, 952, 596, 798, 711, 1265, 519, 14368, 924, 281, 621, 666, 513, 1906, 563, 2791, 616, 2542, 3377, 2843, 504, 3522, 7549, 27188, 13194, 4709, 28476, 20413, 3264, 16021, 18775, 4138, 4344, 952, 1411, 17329, 519, 2376, 2843, 504, 3522, 7549, 27188, 13194, 4709, 28476, 20413, 3264, 16021, 18775, 4138, 4344, 267, 605, 330, 30291, 597, 340, 564, 1200, 269, 0, 1692, 798, 596, 2673, 513, 3758, 888, 2414, 31028, 2789, 1930, 6119, 610, 32766, 267, 2046, 519, 11632, 12435, 1883, 1247, 14467, 519, 3758, 610, 17835, 4408, 267, 1318, 26487, 1022, 835, 540, 519, 5697, 6119, 610, 32766, 267, 543, 1287, 4945, 19171, 7046, 11711, 269, 901, 32195, 519, 5697, 6119, 610, 32766, 269, 1724, 20413, 3522, 9326, 476, 1708, 271, 28314, 563, 1692, 798, 596, 2673, 595, 10030, 888, 327, 285, 267, 2165, 7149, 513, 595, 10030, 1982, 269, 634, 1871, 13859, 607, 606, 4661, 547, 14827, 568, 8120, 547, 519, 5665, 1062, 607, 519, 1982, 779, 2132, 3009, 610, 14827, 3009, 563, 1432, 4523, 952, 596, 1810, 1406, 2673, 513, 3758, 538, 595, 10030, 888, 2467, 568, 1100, 3017, 269, 634, 3758, 6908, 779, 3186, 1192, 528, 786, 2673, 519, 3758, 269, 769, 713, 2013, 267, 4986, 786, 4755, 543, 3009, 11056, 942, 568, 1360, 1447, 269, 1717, 267, 952, 707, 9479, 8255, 585, 1279, 942, 950, 596, 616, 11179, 6679, 6119, 543, 711, 14656, 267, 1310, 513, 1978, 942, 267, 972, 949, 581, 16154, 538, 2196, 942, 563, 1432, 568, 6679, 543, 14656, 513, 3758, 538, 595, 10030, 888, 1103, 595, 10030, 267, 513, 3758, 568, 8118, 676, 16046, 621, 547, 513, 6908, 269, 1677, 1930, 606, 3977, 6908, 267, 621, 1590, 581, 10294, 607, 1362, 540, 6894, 269, 2560, 589, 6908, 602, 786, 581, 581, 7900, 1312, 3403, 543, 3977, 4238, 1590, 581, 10294, 607, 1362, 535, 6894, 563, 3963, 649, 2673, 513, 3758, 1310, 946, 888, 763, 1152, 2601, 594, 1223, 2097, 909, 609, 568, 602, 519, 1982, 949, 711, 2165, 3729, 7157, 267, 543, 865, 519, 3758, 949, 581, 1869, 1930, 267, 4061, 10438, 1062, 2200, 267, 1317, 519, 3758, 568, 6854, 593, 513, 17280, 269, 6693, 1692, 798, 594, 2673, 513, 12210, 3239, 3758, 888, 2791, 666, 18419, 6119, 610, 32766, 1369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 16534, 585, 2473, 269, 3503, 707, 2626, 607, 513, 6824, 538, 14724, 1106, 563, 24169, 281, 476, 275, 270, 274, 343, 910, 476, 274, 815, 476, 278, 270, 275, 343, 910, 476, 275, 270, 274, 15100, 11020, 22709, 5549, 269, 2634, 21346, 2593, 5239, 476, 280, 267, 476, 1001, 280, 267, 476, 277, 281, 7906, 10681, 740, 272, 322, 280, 321, 9536, 4206, 454, 24169, 281, 476, 275, 270, 274, 343, 910, 476, 274, 815, 476, 278, 270, 275, 343, 910, 476, 275, 270, 274, 454, 5575, 30337, 519, 3830, 971, 602, 782, 3688, 4429, 288, 1900, 676, 1900, 5850, 585, 713, 6824, 1759, 3830, 568, 3177, 543, 14550, 519, 6310, 4238, 799, 616, 2838, 547, 4194, 585, 1535, 269, 0, 277, 269, 1323, 8484, 540, 1283, 3432, 476, 22430, 5998, 829, 5662, 5036, 513, 1576, 547, 519, 5087, 3887, 770, 855, 267, 19962, 547, 519, 17888, 2842, 267, 922, 4890, 3432, 3448, 547, 519, 2666, 568, 476, 14596, 5998, 829, 5662, 538, 513, 4287, 540, 476, 2412, 4113, 7532, 540, 5087, 269, 4635, 10763, 543, 21370, 2409, 912, 320, 269, 11724, 519, 8484, 5163, 607, 10321, 454, 321, 269, 4855, 519, 4287, 543, 519, 3432, 540, 519, 12798, 454, 309, 601, 6290, 540, 8484, 538, 1100, 2842, 642, 320, 11320, 815, 476, 22430, 5998, 10774, 337, 547, 3345, 2652, 476, 22430, 329, 454, 4131, 721, 8263, 6991, 540, 2842, 609, 2463, 547, 2666, 642, 342, 17320, 815, 642, 343, 269, 328, 1341, 642, 344, 12459, 454, 10303, 540, 2842, 267, 8484, 6991, 609, 2463, 547, 2666, 267, 642, 320, 17320, 815, 4429, 8794, 10763, 543, 21370, 1505, 267, 606, 8484, 5163, 568, 21845, 267, 538, 513, 2783, 1141, 2842, 568, 25738, 538, 513, 4287, 1114, 689, 8484, 5163, 269, 0, 763, 769, 6665, 1043, 2494, 568, 835, 540, 17629, 781, 3312, 5929, 28749, 267, 1101, 5189, 547, 21576, 1394, 538, 476, 4350, 274, 267, 543, 28429, 2189, 7060, 269, 2755, 670, 14371, 269, 28243, 262, 476, 6245, 278, 3209, 634, 769, 6665, 1043, 2494, 814, 1044, 9862, 1082, 2053, 538, 2789, 3029, 540, 2923, 267, 519, 1034, 4583, 4528, 3788, 519, 4670, 5950, 547, 519, 11596, 676, 17629, 1394, 538, 519, 18710, 2395, 540, 519, 2754, 781, 3312, 14228, 540, 28749, 269, 7591, 539, 676, 19863, 324, 681, 1622, 267, 634, 769, 6665, 1043, 2494, 568, 513, 5636, 664, 835, 1131, 1589, 1522, 581, 1447, 31029, 982, 513, 30632, 790, 610, 513, 941, 342, 6504, 267, 855, 607, 7691, 593, 31653, 267, 646, 781, 1175, 607, 5906, 547, 1346, 1472, 1864, 563, 2005, 781, 711, 1932, 9670, 602, 17629, 781, 634, 769, 6665, 1043, 2494, 5828, 856, 607, 1134, 607, 621, 1705, 267, 1018, 609, 9976, 8689, 6276, 1733, 1446, 3297, 519, 8254, 269, 1635, 476, 4350, 274, 267, 1733, 1446, 1185, 2907, 5892, 927, 4364, 476, 4350, 272, 781, 29975, 543, 476, 4350, 273, 781, 634, 6196, 14730, 5600, 267, 543, 1131, 979, 593, 547, 1463, 24903, 519, 6574, 17629, 20599, 4670, 540, 782, 267, 476, 4350, 276, 781, 5696, 728, 540, 29975, 269, 634, 769, 6665, 1043, 2494, 729, 849, 25552, 547, 2244, 519, 15421, 540, 5182, 681, 1622, 267, 17729, 538, 1010, 1101, 1977, 4670, 269, 681, 1622, 1131, 540, 1576, 979, 593, 7118, 2185, 30546, 9930, 5209, 267, 543, 2408, 538, 11599, 8874, 899, 6004, 269, 8055, 3619, 525, 547, 6115, 543, 16629, 629, 331, 4545, 320, 563, 763, 769, 6665, 1043, 2494, 7024, 547, 519, 11596, 1985, 1032, 267, 3842, 17629, 543, 2349, 636, 5264, 8605, 687, 269, 3353, 1227, 2808, 513, 6450, 2393, 540, 519, 476, 4350, 274, 4670, 267, 621, 781, 1869, 513, 3787, 15458, 1175, 875, 2147, 519, 4729, 786, 1439, 909, 1373, 267, 607, 1018, 781, 1634, 865, 2484, 4992, 3833, 1114, 269, 769, 519, 29291, 1498, 267, 1577, 781, 4983, 519, 5169, 543, 7060, 540, 519, 3312, 769, 6665, 1043, 2494, 267, 607, 5129, 676, 681, 1622, 563, 763, 769, 6665, 1043, 2494, 13242, 547, 2142, 513, 26831, 715, 3139, 10793, 26186, 514, 454, 1103, 634, 769, 6665, 1043, 2494, 7260, 910, 607, 609, 1034, 14624, 267, 519, 4670, 1821, 28179, 689, 519, 1433, 538, 4025, 910, 519, 5707, 983, 5636, 664, 1031, 547, 581, 513, 10196, 3957, 3220, 269, 10793, 26186, 514, 269, 26186, 514, 1568, 585, 513, 8284, 10196, 3957, 3220, 269, 595, 3757, 2917, 267, 543, 568, 7722, 547, 1010, 8250, 7579, 320, 269, 1717, 267, 26186, 514, 568, 7255, 827, 1373, 2111, 547, 1683, 519, 1272, 1010, 2648, 19262, 267, 865, 950, 1010, 6901, 609, 519, 3114, 1395, 665, 2033, 3132, 6397, 2164, 267, 646, 25001, 5128, 883, 519, 960, 269, 10251, 267, 1247, 26186, 514, 568, 2111, 547, 2490, 5128, 15865, 267, 799, 1131, 1100, 8969, 581, 513, 3621, 14634, 267, 646, 3533, 30877, 602, 646, 3085, 1405, 917, 875, 547, 1831, 7298, 1586, 563, 763, 769, 6665, 1043, 2494, 12984, 3220, 1508, 8496, 676, 3571, 13574, 16754, 454, 4407, 26186, 514, 781, 3355, 3804, 1310, 4742, 634, 769, 6665, 1043, 2494, 568, 23115, 856, 875, 547, 3768, 334, 1010, 1378, 1045, 529, 2225, 267, 519, 3114, 598, 1723, 794, 602, 4646, 1010, 1045, 529, 2225, 4542, 5956, 6117, 519, 13085, 10196, 1202, 2033, 267, 5555, 6309, 3373, 865, 269, 6736, 1010, 4567, 607, 519, 4670, 781, 5636, 664, 267, 621, 781, 4277, 547, 4063, 602, 646, 781, 2760, 27507, 540, 25091, 7907, 269, 2755, 3765, 7666, 3660, 267, 26186, 514, 781, 7903, 585, 513, 3621, 14634, 16204, 836, 689, 1434, 15752, 267, 543, 621, 781, 1152, 1813, 547, 519, 6464, 1631, 1330, 28410, 998, 1010, 1560, 602, 646, 5956, 547, 13789, 538, 606, 9409, 6073, 269, 1677, 17200, 602, 2856, 1753, 267, 2899, 26186, 514, 568, 593, 1010, 2669, 5127, 1310, 1373, 8929, 676, 7128, 267, 646, 20475, 26845, 585, 519, 1928, 646, 781, 3361, 563, 268, 634, 769, 6665, 1043, 2494, 630, 1708, 271, 264, 5305, 4266, 281, 4924, 476, 2764, 267, 476, 1708, 271, 0, 2691, 3703, 7980, 3459, 23928, 538, 2038, 4516, 267, 741, 23242, 5389, 20762, 609, 513, 21007, 262, 330, 2742, 336, 3014, 547, 1711, 513, 1007, 7328, 602, 7960, 883, 19735, 269, 589, 3778, 540, 670, 15736, 538, 4516, 15244, 19735, 781, 5072, 689, 1346, 1101, 3268, 593, 519, 13792, 22253, 540, 9456, 4516, 547, 519, 2413, 3014, 649, 917, 543, 2648, 269, 589, 1590, 585, 519, 19735, 10178, 269, 476, 26562, 6032, 563, 10387, 19600, 4043, 547, 27506, 593, 713, 1641, 267, 543, 8726, 707, 8369, 616, 267, 538, 674, 18017, 538, 670, 15736, 267, 25982, 5026, 5856, 808, 269, 12138, 623, 9567, 2023, 8942, 547, 1683, 513, 7059, 5133, 593, 519, 1909, 602, 8165, 4249, 538, 519, 3345, 1977, 3014, 540, 19735, 267, 6313, 922, 1686, 543, 922, 1747, 538, 2413, 2442, 2528, 267, 607, 1134, 607, 1519, 513, 1413, 693, 930, 540, 2483, 8601, 519, 1082, 1390, 15731, 799, 723, 10599, 1194, 741, 1259, 547, 519, 3803, 267, 1686, 1152, 1121, 20047, 519, 4619, 832, 269, 3367, 827, 930, 540, 519, 1034, 3078, 543, 3006, 2295, 12577, 26304, 19067, 8090, 2479, 547, 1491, 1747, 2094, 519, 7484, 729, 1101, 13752, 538, 476, 6245, 274, 267, 1519, 513, 1413, 693, 971, 15913, 15731, 607, 27292, 267, 17842, 267, 3798, 3000, 2023, 543, 519, 6816, 619, 269, 476, 12739, 6032, 563, 12749, 8573, 1678, 539, 19760, 299, 6887, 4043, 547, 581, 1346, 609, 1283, 8573, 1678, 539, 3804, 625, 543, 513, 1413, 1394, 693, 519, 26304, 19067, 23594, 540, 19735, 1686, 3533, 18327, 519, 6671, 7326, 269, 834, 15124, 25779, 625, 540, 519, 19760, 299, 257, 12632, 930, 540, 519, 1034, 14222, 2121, 332, 785, 619, 519, 3014, 814, 2479, 2938, 269, 476, 12739, 6032, 563, 2691, 621, 2501, 547, 938, 11537, 834, 16591, 10153, 262, 19735, 3014, 2580, 1208, 712, 705, 2432, 538, 4516, 269, 634, 670, 15736, 808, 5803, 3883, 2982, 596, 1175, 875, 16168, 519, 7328, 267, 922, 6887, 543, 922, 5694, 1652, 5716, 666, 581, 269, 15996, 6032, 563, 2691, 621, 2501, 547, 938, 11537, 834, 16591, 10153, 262, 19735, 3014, 2580, 1208, 712, 705, 2432, 538, 4516, 269, 634, 670, 15736, 808, 10280, 585, 8866, 1433, 2982, 596, 1175, 875, 16168, 519, 7328, 267, 922, 6887, 543, 922, 5694, 1652, 5716, 666, 581, 269, 476, 15996, 6032, 563, 295, 15736, 30365, 2934, 930, 540, 519, 6574, 267, 1187, 333, 5006, 543, 1034, 12300, 2453, 538, 19735, 1686, 269, 476, 14917, 6032, 563, 295, 15736, 910, 2296, 8144, 8675, 269, 589, 3102, 3391, 547, 519, 4013, 1893, 269, 476, 13893, 6032, 563, 1607, 909, 11034, 19735, 22299, 689, 23045, 4498, 13118, 267, 25429, 32108, 267, 814, 3366, 513, 9583, 19259, 539, 1272, 267, 21959, 1359, 17758, 543, 1101, 2094, 646, 4121, 547, 25920, 693, 519, 2085, 540, 1614, 269, 2368, 540, 1010, 934, 7637, 1938, 1331, 281, 1373, 519, 21836, 6345, 3957, 18279, 538, 19760, 299, 1686, 267, 519, 21836, 6345, 547, 6060, 476, 1911, 2798, 538, 513, 4005, 267, 519, 21836, 6345, 547, 3094, 519, 3203, 17664, 2483, 763, 670, 15736, 13658, 3883, 2934, 519, 1655, 1208, 537, 9317, 267, 4101, 543, 20868, 2055, 543, 4267, 267, 1519, 281, 6904, 3804, 339, 2658, 6585, 519, 2594, 585, 9803, 3853, 268, 28785, 560, 8584, 2071, 267, 5808, 729, 519, 1152, 6345, 2479, 547, 581, 3957, 782, 1614, 6801, 693, 519, 1439, 540, 519, 3014, 267, 5808, 568, 519, 1152, 19622, 19760, 299, 18176, 13084, 711, 32366, 539, 883, 519, 8065, 540, 674, 877, 267, 543, 1082, 811, 269, 476, 26562, 6032, 563, 2080, 779, 519, 1686, 540, 835, 540, 519, 3312, 3670, 6887, 540, 519, 19760, 299, 282, 513, 27805, 4535, 538, 476, 4489, 278, 855, 5963, 2813, 676, 1230, 333, 590, 3240, 1492, 538, 519, 3735, 476, 4572, 271, 338, 282, 513, 2319, 602, 18387, 1406, 4465, 513, 26304, 19067, 538, 476, 2412, 1296, 855, 609, 11655, 865, 10178, 520, 673, 789, 1289, 2933, 519, 23516, 338, 13780, 269, 476, 8182, 6032, 269, 0, 763, 4199, 814, 1044, 3773, 547, 707, 4015, 454, 1103, 12096, 476, 1001, 275, 267, 634, 11628, 9255, 618, 5358, 786, 581, 13868, 6673, 8212, 645, 609, 513, 1079, 4458, 5311, 2966, 547, 6536, 3152, 3178, 540, 12497, 1620, 543, 811, 942, 7722, 538, 14374, 2861, 1565, 269, 634, 1007, 6030, 267, 6673, 8212, 476, 272, 543, 6673, 8212, 476, 273, 267, 786, 581, 6697, 547, 519, 1101, 543, 2034, 5033, 22246, 540, 513, 6093, 2606, 267, 7223, 2861, 2852, 6323, 1576, 269, 901, 3896, 28279, 6323, 3610, 543, 1153, 16984, 827, 1018, 781, 4657, 538, 6673, 6323, 267, 689, 1576, 9165, 547, 981, 1374, 269, 634, 5943, 10593, 2476, 689, 513, 2757, 834, 20880, 3795, 257, 2203, 547, 835, 602, 6212, 593, 1883, 2093, 538, 2606, 6323, 269, 634, 1935, 729, 2919, 547, 1450, 3152, 942, 7722, 538, 519, 2259, 540, 2257, 267, 609, 1447, 1445, 593, 6310, 13467, 269, 8249, 2139, 593, 713, 1357, 2985, 1331, 519, 15099, 17563, 267, 14174, 304, 781, 593, 519, 1007, 6673, 8212, 267, 1806, 267, 543, 4704, 1570, 593, 14374, 6044, 269, 634, 2242, 547, 1142, 1576, 941, 11461, 676, 2817, 3194, 7027, 543, 2817, 3163, 7690, 7840, 267, 1739, 1896, 1296, 540, 21769, 1851, 6280, 7855, 543, 4487, 6673, 3610, 269, 15503, 781, 8074, 281, 634, 6673, 11061, 1576, 814, 849, 22734, 2101, 14469, 267, 1793, 730, 585, 10073, 538, 12096, 476, 1001, 274, 269, 6423, 13565, 10049, 585, 513, 3095, 547, 519, 5441, 8274, 781, 1357, 2985, 593, 6673, 11061, 26941, 563, 1607, 4199, 814, 711, 2943, 1044, 12649, 563, 8253, 681, 730, 8616, 269, 0, 18907, 476, 1428, 267, 476, 1001, 279, 454, 13146, 1382, 7152, 513, 1007, 11191, 9781, 5943, 547, 3589, 875, 2500, 1978, 840, 268, 543, 2022, 7721, 17068, 605, 29091, 9471, 786, 960, 547, 2061, 7486, 3968, 563, 763, 1353, 267, 3370, 538, 12813, 5308, 32492, 10334, 267, 6322, 547, 1628, 513, 6310, 11191, 538, 1931, 547, 948, 20928, 1646, 540, 840, 7721, 17068, 605, 29091, 9471, 630, 7468, 7968, 264, 5061, 269, 634, 3173, 7074, 602, 1498, 1699, 2398, 7968, 5574, 3648, 6175, 3968, 1981, 267, 789, 616, 711, 476, 1911, 260, 2500, 543, 666, 581, 14427, 563, 763, 3173, 1336, 602, 741, 5499, 2203, 1223, 8308, 3589, 875, 8097, 2398, 7968, 1036, 6036, 786, 1685, 563, 2108, 8794, 519, 6310, 5943, 649, 2919, 267, 621, 568, 1631, 2009, 547, 6218, 519, 4791, 12117, 540, 1022 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1724, 281, 11846, 8881, 543, 28864, 10644, 692, 7072, 912, 5522, 11691, 5026, 568, 835, 540, 519, 1655, 2081, 585, 3214, 899, 596, 547, 3251, 3742, 267, 2635, 267, 543, 723, 1187, 256, 1717, 267, 1175, 899, 1022, 824, 2534, 267, 972, 666, 581, 4220, 3238, 950, 4730, 5026, 269, 2334, 779, 1946, 621, 779, 1271, 547, 1451, 827, 5026, 3106, 543, 5945, 6604, 269, 1635, 1620, 875, 547, 2149, 3054, 1247, 10283, 538, 707, 5172, 2238, 267, 596, 666, 3136, 2348, 513, 19046, 1510, 3478, 10413, 269, 2913, 779, 4685, 883, 930, 1898, 4388, 543, 15361, 585, 9363, 2922, 1247, 11981, 5026, 543, 18883, 2439, 4089, 476, 272, 281, 4197, 5871, 11846, 20070, 3753, 454, 2691, 649, 2911, 827, 5026, 7063, 267, 649, 1611, 1022, 2800, 602, 2501, 547, 707, 1560, 1282, 2168, 2534, 269, 1452, 7063, 666, 2039, 689, 5634, 16150, 525, 543, 20015, 2478, 547, 811, 4049, 2152, 899, 838, 23230, 267, 12490, 267, 18655, 267, 610, 6677, 21631, 269, 2368, 1455, 2010, 540, 5026, 7063, 1331, 1384, 272, 269, 1975, 23230, 281, 3683, 560, 4958, 4221, 610, 751, 2130, 28587, 630, 339, 965, 13164, 8220, 7633, 264, 1813, 547, 6727, 6335, 532, 5322, 269, 1323, 330, 548, 838, 23230, 616, 1034, 1455, 855, 666, 849, 2049, 538, 21389, 1235, 267, 19704, 267, 543, 555, 29304, 563, 273, 269, 18135, 1231, 281, 28100, 3361, 547, 6091, 610, 28844, 630, 322, 867, 6438, 5160, 1140, 2286, 4887, 547, 5642, 264, 4611, 689, 936, 2224, 610, 16789, 946, 269, 8621, 11415, 12490, 538, 3950, 543, 2361, 2621, 610, 22712, 878, 10134, 12490, 538, 13558, 616, 7839, 1851, 10708, 563, 274, 269, 674, 847, 999, 281, 7935, 5287, 7633, 9648, 1317, 540, 1164, 1764, 21611, 610, 8813, 1282, 3756, 971, 607, 14912, 267, 11176, 267, 610, 25920, 24692, 563, 275, 269, 19270, 21631, 281, 589, 1826, 540, 15779, 2634, 5945, 3361, 676, 513, 9514, 547, 519, 2212, 610, 10795, 24373, 269, 901, 1419, 4523, 538, 3346, 5026, 899, 19735, 267, 24821, 2421, 267, 610, 1977, 11176, 780, 8855, 267, 1256, 952, 596, 1246, 782, 2556, 15416, 267, 10913, 949, 1869, 4755, 269, 1924, 267, 6616, 1018, 547, 798, 1310, 24569, 606, 5945, 568, 8449, 2629, 269, 16418, 2564, 3007, 5612, 952, 596, 14353, 513, 3978, 5945, 780, 4089, 476, 273, 281, 9669, 585, 853, 11691, 15822, 2755, 29892, 11846, 454, 3086, 602, 596, 1174, 1585, 5026, 7063, 1577, 781, 2263, 2081, 547, 2061, 891, 32657, 2355, 865, 596, 666, 2972, 707, 942, 593, 519, 5480, 267, 2361, 267, 678, 1074, 267, 610, 6288, 9108, 780, 272, 269, 24953, 5455, 7743, 569, 281, 6969, 4358, 1022, 7328, 267, 1491, 2947, 547, 4557, 3764, 547, 3636, 909, 707, 6091, 9900, 998, 1769, 28185, 3101, 267, 17259, 795, 2931, 267, 610, 15198, 5751, 269, 654, 9879, 909, 4679, 1973, 2095, 543, 8112, 267, 4227, 519, 1981, 540, 7063, 563, 273, 269, 2422, 30785, 717, 792, 281, 11408, 5957, 8825, 10591, 2966, 4481, 585, 707, 6074, 7328, 269, 6201, 1331, 31238, 267, 12597, 21181, 267, 23969, 22651, 267, 695, 514, 22651, 267, 5023, 7666, 1841, 267, 543, 18942, 11680, 269, 3550, 789, 3514, 5265, 543, 616, 538, 1434, 2783, 1354, 1210, 873, 563, 274, 269, 9457, 10341, 26431, 281, 5213, 1406, 19060, 883, 4359, 2553, 1318, 2476, 269, 6258, 2596, 1983, 1101, 267, 2259, 5781, 267, 543, 7930, 3356, 2509, 1950, 7575, 269, 15043, 1697, 1106, 6971, 8833, 543, 2566, 593, 707, 1560, 563, 275, 269, 7427, 16390, 543, 22769, 281, 5272, 7328, 814, 922, 1378, 1305, 540, 3652, 5921, 547, 1832, 5716, 2922, 269, 25529, 547, 873, 5702, 282, 8840, 3652, 1223, 1291, 547, 5906, 3871, 585, 1312, 596, 543, 1866, 1472, 596, 563, 276, 269, 10281, 3433, 543, 16202, 4270, 281, 18227, 707, 1648, 2157, 7123, 568, 4105, 585, 6099, 2773, 543, 7303, 18024, 269, 27276, 7899, 540, 1216, 1354, 267, 1282, 267, 543, 1310, 2168, 2534, 267, 543, 2226, 513, 7059, 2732, 4904, 609, 5613, 267, 5388, 267, 10709, 5946, 267, 543, 2898, 9274, 563, 277, 269, 19415, 547, 2659, 10610, 281, 1403, 1945, 7959, 4636, 1107, 1928, 267, 21994, 267, 26032, 540, 7362, 1107, 3247, 4730, 5612, 543, 3343, 948, 269, 22695, 1681, 9963, 4191, 1522, 22009, 4540, 2175, 610, 1711, 1007, 3283, 563, 278, 269, 10163, 543, 5589, 1478, 281, 12315, 707, 1560, 2614, 942, 547, 1964, 1063, 23736, 543, 19194, 269, 14190, 532, 6091, 547, 9156, 18791, 873, 543, 2337, 2057, 9854, 5829, 7063, 563, 279, 269, 28423, 5455, 6168, 8881, 31700, 281, 4004, 6510, 16175, 609, 19393, 267, 30157, 267, 3237, 267, 543, 2319, 10863, 3823, 1761, 10898, 610, 22247, 2853, 269, 15526, 19262, 547, 7119, 538, 513, 5150, 1604, 563, 280, 269, 5192, 8617, 6744, 5725, 281, 21480, 6296, 20499, 609, 3782, 7426, 945, 20647, 538, 12963, 1416, 269, 1358, 666, 2697, 5817, 1072, 4145, 7133, 7589, 538, 5026, 543, 2303, 5078, 8925, 952, 2877, 780, 6962, 912, 3528, 1739, 891, 4808, 267, 596, 2811, 1631, 1134, 25668, 5792, 547, 4497, 538, 5026, 2238, 18390, 543, 9108, 269, 5457, 267, 2921, 5539, 585, 707, 8171, 5849, 9118, 3108, 540, 7772, 267, 1565, 267, 23274, 267, 543, 2123, 2208, 998, 5026, 543, 18883, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14549, 7126, 9730, 454, 4621, 573, 3130, 540, 5359, 11643, 676, 2829, 6105, 896, 2376, 476, 2412, 540, 519, 26315, 454, 23612, 13350, 1867, 454, 314, 24314, 281, 12428, 6012, 276, 5147, 476, 1220, 275, 2639, 763, 4139, 595, 19879, 593, 6406, 543, 11572, 7126, 4025, 519, 2276, 6105, 972, 1729, 896, 1978, 13800, 538, 1931, 547, 2327, 602, 741, 9086, 543, 741, 3656, 543, 16324, 1949, 616, 538, 29077, 609, 519, 14074, 540, 519, 595, 19879, 563, 1103, 713, 1867, 267, 519, 26219, 6259, 6243, 786, 29367, 14365, 712, 547, 1397, 267, 538, 513, 2312, 543, 6325, 6073, 267, 519, 6708, 547, 799, 26219, 9086, 568, 15095, 609, 519, 2924, 6444, 538, 519, 595, 19879, 676, 17609, 1346, 2924, 267, 2376, 676, 2376, 267, 543, 9236, 873, 609, 519, 6469, 4031, 543, 9086, 538, 3196, 538, 16850, 538, 1931, 547, 29872, 519, 9730, 609, 519, 3656, 5943, 1369, 799, 519, 14074, 540, 519, 595, 19879, 616, 1373, 8045, 538, 519, 26219, 6259, 6243, 563, 1103, 13076, 609, 519, 14074, 540, 2376, 476, 2412, 540, 519, 4139, 595, 19879, 593, 6406, 543, 11572, 9406, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 7964, 8881, 543, 28864, 10644, 257, 607, 851, 540, 834, 9915, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 5753, 781, 1299, 15272, 11846, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 275, 281, 634, 15521, 540, 27016, 30231, 910, 589, 7689, 538, 12876, 1145, 543, 21727, 692, 5331, 952, 835, 1554, 267, 2576, 3357, 909, 547, 596, 543, 1767, 789, 4941, 547, 1491, 2476, 707, 2924, 607, 513, 1268, 1175, 1317, 540, 1141, 596, 941, 4535, 610, 1018, 596, 6743, 899, 269, 2334, 9327, 1405, 1745, 4023, 267, 1131, 621, 286, 4270, 267, 1945, 2147, 5949, 513, 1279, 942, 3516, 538, 513, 1747, 1572, 1715, 10215, 1063, 922, 3312, 11317, 267, 519, 631, 5953, 9461, 1004, 267, 543, 930, 30226, 619, 689, 2342, 1634, 607, 519, 3703, 269, 901, 3184, 786, 2995, 596, 782, 827, 875, 891, 1079, 2516, 3357, 1927, 547, 1711, 513, 2027, 3561, 1572, 519, 15521, 540, 27016, 30231, 267, 799, 6322, 547, 2149, 3025, 781, 2924, 543, 2327, 4023, 2126, 585, 782, 780, 1103, 519, 2038, 476, 5197, 271, 338, 267, 3864, 17701, 3459, 9683, 1715, 10215, 543, 4718, 602, 621, 729, 513, 4190, 2244, 4904, 609, 2200, 543, 7874, 1004, 269, 17652, 2614, 267, 13896, 3323, 21945, 543, 1818, 5321, 972, 1932, 269, 1809, 2713, 32069, 7012, 1405, 2141, 2653, 1063, 519, 631, 5953, 9461, 543, 519, 3703, 269, 1358, 12038, 1114, 4654, 267, 5156, 538, 1585, 5389, 267, 543, 3006, 9969, 7517, 936, 945, 11262, 1978, 3338, 780, 2414, 948, 4990, 856, 741, 3604, 543, 1628, 3972, 1063, 873, 267, 13222, 540, 519, 3703, 22477, 630, 1492, 10348, 540, 4789, 264, 4956, 547, 8908, 513, 14097, 269, 5994, 1603, 1524, 3652, 585, 4687, 12897, 1851, 2828, 256, 3807, 899, 1346, 3652, 1522, 1413, 267, 513, 14097, 5036, 4808, 585, 875, 1004, 666, 2661, 25678, 1927, 1247, 18245, 1142, 824, 781, 2115, 543, 6499, 780, 763, 812, 3743, 585, 2870, 713, 1271, 3561, 729, 6276, 22084, 2421, 267, 513, 15931, 8284, 12912, 607, 519, 3703, 1763, 1211, 538, 1715, 10215, 269, 1261, 5249, 5702, 609, 1896, 631, 5953, 9461, 8783, 338, 547, 1174, 741, 5380, 543, 4145, 269, 8625, 267, 789, 2813, 513, 8978, 6876, 1634, 607, 1855, 570, 597, 16951, 522, 27016, 30231, 267, 610, 3274, 267, 519, 15521, 540, 27016, 30231, 780, 4002, 5988, 476, 277, 628, 267, 476, 7277, 271, 267, 693, 513, 6264, 11018, 2282, 2413, 6377, 7345, 540, 11866, 267, 1312, 5011, 9896, 519, 15521, 540, 27016, 30231, 269, 3509, 631, 5953, 9461, 3401, 2322, 4050, 547, 1957, 1310, 6217, 16627, 3177, 676, 28773, 610, 11967, 31548, 269, 1703, 616, 2965, 1079, 8747, 540, 519, 15521, 1765, 821, 2854, 538, 2296, 543, 1776, 12261, 883, 751, 556, 334, 631, 5953, 9461, 267, 519, 5065, 1893, 540, 519, 631, 5953, 9461, 269, 10251, 267, 1813, 547, 8144, 2591, 543, 18312, 12496, 267, 21390, 7018, 1063, 519, 6105, 3238, 269, 6736, 1434, 15752, 267, 1919, 1705, 711, 979, 4010, 2687, 547, 1544, 780, 2467, 941, 1614, 1292, 2694, 267, 610, 4930, 267, 538, 519, 15521, 540, 27016, 30231, 269, 2913, 781, 1589, 540, 873, 607, 14767, 1500, 676, 1312, 519, 3703, 22477, 543, 519, 631, 5953, 9461, 1004, 1384, 272, 269, 918, 1177, 534, 520, 18553, 630, 326, 4261, 11208, 2567, 634, 3703, 16219, 737, 5953, 9774, 520, 18553, 630, 326, 4261, 766, 264, 547, 2149, 519, 631, 5953, 9461, 1004, 267, 2226, 1931, 267, 543, 3895, 13884, 2429, 1715, 10215, 269, 769, 2132, 267, 519, 631, 5953, 9461, 8815, 547, 1577, 519, 3703, 1827, 563, 273, 269, 681, 836, 520, 597, 520, 18553, 630, 2151, 1111, 1622, 1222, 2567, 634, 3703, 6444, 678, 836, 520, 597, 520, 18553, 630, 2151, 12187, 6392, 264, 540, 519, 631, 5953, 9461, 1004, 936, 741, 1378, 12602, 267, 3338, 267, 14252, 267, 543, 16782, 269, 26243, 267, 519, 631, 5953, 9461, 1223, 3136, 12044, 2933, 563, 274, 269, 15662, 490, 761, 564, 18553, 630, 3225, 1275, 2567, 5637, 5011, 26823, 3022, 547, 960, 2509, 7862, 543, 11505, 1063, 519, 14797, 269, 3143, 835, 1895, 1131, 4309, 4776, 22460, 2126, 936, 1776, 780, 3086, 4952, 2348, 547, 2671, 707, 5172, 19209, 609, 3214, 689, 1153, 6730, 1776, 7404, 1153, 256, 2311, 1101, 267, 3388, 949, 3100, 1187, 543, 4277, 267, 855, 4166, 2614, 267, 13882, 8451, 269, 2368, 3409, 1880, 2127, 4866, 14311, 547, 873, 282, 1866, 8044, 936, 4171, 2490, 621, 568, 547, 946, 1808, 3937, 269, 3683, 942, 267, 2705, 267, 998, 1930, 5717, 543, 14207, 267, 513, 7059, 3070, 19674, 269, 6684, 267, 1498, 2042, 4553, 519, 19142, 540, 519, 15521, 540, 27016, 30231, 267, 1715, 10215, 814, 1044, 2324, 2182, 2479, 2094, 547, 8956, 519, 6891, 540, 713, 7415, 6876, 780, 9213, 267, 519, 15521, 3788, 1898, 547, 1620, 3347, 1063, 519, 2229, 543, 519, 6805, 2551, 540, 1715, 10215, 269, 3414, 5571, 7391, 543, 3646, 547, 6439, 1518, 2250, 9073, 267, 519, 15521, 5713, 607, 513, 13057, 1769, 585, 5807, 10103, 543, 8994, 2463, 1851, 3309, 2950, 269, 1306, 2104, 4961, 540, 938, 2518, 8498, 267, 1565, 827, 11650, 899, 519, 15521, 540, 27016, 30231, 2337, 721, 5660, 519, 2956, 540, 6568, 267, 2792, 267, 543, 9322, 538, 2679, 1732, 7239, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7212, 519, 1480, 2924, 540, 1453, 941, 18931, 1369, 519, 3486, 2146, 811, 982, 476, 2004, 1296, 3516, 267, 676, 1259, 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 ]
[ 24677, 540, 27756, 267, 7050, 1560, 12503, 543, 3346, 17613, 267, 2022, 1116, 4368, 640, 543, 1644, 1072, 10898, 267, 543, 2799, 4220, 540, 6595, 27549, 5821, 269, 769, 1931, 547, 948, 2232, 519, 17324, 15915, 22098, 2152, 267, 713, 1353, 2919, 5256, 543, 4775, 812, 1731, 514, 3885, 602, 2099, 17324, 2475, 29617, 15915, 269, 19848, 6248, 1239, 540, 17324, 2043, 5833, 689, 519, 11404, 2464, 2752, 10236, 6248, 6538, 941, 9916, 998, 7193, 288, 2861, 3815, 9382, 269, 3973, 267, 585, 1142, 4008, 267, 513, 476, 4200, 260, 26456, 7750, 1355, 729, 9112, 269, 7053, 267, 513, 1507, 1305, 540, 812, 1731, 1231, 729, 3989, 593, 519, 4493, 540, 1142, 26456, 7750, 1355, 269, 7913, 1480, 3631, 630, 691, 545, 4327, 1480, 5515, 264, 8204, 519, 812, 1731, 1231, 941, 2813, 1210, 513, 1480, 21957, 3301, 1982, 269, 634, 812, 1731, 514, 3885, 941, 8246, 547, 1020, 1374, 7840, 585, 5697, 8484, 10160, 7516, 269, 634, 812, 1731, 514, 3885, 4843, 538, 713, 1353, 1131, 7494, 7520, 10236, 2210, 29182, 8383, 908, 1804, 29617, 15915, 269, 0, 15650, 540, 30713, 30828, 971, 607, 1286, 14141, 523, 534, 616, 1761, 2326, 1031, 607, 6915, 16344, 916, 269, 3525, 1881, 20566, 568, 513, 1570, 602, 666, 2569, 519, 28920, 32281, 3601, 543, 2333, 519, 7344, 3601, 540, 1979, 6955, 10415, 269, 634, 6859, 540, 713, 1353, 941, 547, 3313, 519, 1198, 540, 1210, 1286, 14141, 523, 534, 543, 9168, 20566, 593, 7344, 3601, 543, 7686, 18341, 566, 269, 634, 4603, 729, 5342, 1210, 513, 4625, 19747, 1374, 27353, 269, 634, 5574, 4294, 941, 519, 9830, 540, 1286, 14141, 523, 534, 630, 273, 543, 476, 274, 6121, 264, 543, 9168, 20566, 630, 271, 267, 476, 271, 269, 276, 267, 476, 271, 269, 278, 267, 543, 476, 271, 269, 280, 6121, 1040, 634, 2164, 4951, 602, 519, 1840, 540, 1164, 1286, 14141, 523, 534, 2799, 28995, 4222, 267, 1216, 4187, 855, 8519, 20436, 566, 543, 30281, 7686, 18341, 566, 269, 634, 1840, 540, 9168, 20566, 10607, 519, 7344, 3601, 855, 30281, 519, 7686, 18341, 566, 563, 347, 22711, 1475, 296, 8008, 10985, 10022, 281, 3047, 543, 7025, 3163, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 1708, 273, 2008, 347, 30631, 1475, 275, 628, 4139, 10985, 593, 30656, 543, 13149, 7070, 267, 5442, 4596, 293, 296, 5960, 476, 1708, 272, 910, 2672, 4599, 11535, 267, 14044, 267, 12868, 2008, 291, 4851, 281, 476, 3066, 9484, 476, 1708, 272, 9890, 2560, 0, 763, 593, 1606, 10547, 13691, 666, 581, 1031, 547, 1826, 2296, 610, 4095, 1893, 1913, 563, 763, 13691, 3096, 519, 4959, 290, 2862, 11768, 2919, 676, 519, 6554, 540, 3127, 269, 898, 568, 849, 1031, 538, 8837, 267, 11197, 543, 824, 1949, 269, 1703, 568, 513, 3490, 11768, 267, 543, 606, 4244, 11768, 950, 519, 29196, 1883, 568, 20399, 269, 1403, 596, 723, 1022, 2055, 827, 621, 267, 5225, 3346, 721, 563, 296, 337, 10585, 13450, 616, 1031, 811, 982, 519, 2834, 13450, 538, 2296, 1893, 269, 4197, 891, 13450, 1522, 3100, 2352, 267, 855, 782, 596, 991, 568, 930, 2259, 543, 1434, 8343, 269, 769, 713, 2376, 596, 786, 1265, 513, 1592, 540, 13450, 602, 616, 12150, 543, 7498, 5649, 811, 19314, 16240, 538, 2296, 568, 607, 1271, 607, 6340, 269, 1677, 1451, 547, 2328, 7157, 1522, 3100, 899, 513, 2352, 4305, 269, 1703, 616, 2141, 930, 4388, 602, 596, 991, 547, 4487, 1247, 596, 1451, 513, 1007, 1893, 269, 3367, 519, 2376, 2630, 547, 917, 513, 1906, 4388, 1247, 1565, 7498, 5649, 811, 19314, 763, 2262, 610, 8360, 7274, 3069, 4016, 547, 1547, 6423, 7274, 3069, 2495, 538, 19446, 267, 7274, 3069, 4214, 267, 8144, 543, 2495, 540, 7274, 3069, 538, 19446, 269, 6258, 543, 2259, 519, 12332, 540, 7274, 3069, 269, 4855, 519, 2626, 540, 1018, 568, 519, 2495, 540, 7274, 3069, 538, 19446, 269, 7162, 355, 17775, 2633, 500, 17775, 23517, 7274, 3069, 21999, 11111, 32172, 18028, 357, 11695, 355, 21005, 7162, 362, 23371, 2633, 366, 2633, 361, 267, 7274, 3069, 21999, 11111, 7162, 362, 21005, 23547, 18028, 480, 2633, 501, 267, 7274, 3069, 21999, 11111, 32172, 18028, 357, 11695, 355, 21005, 7162, 483, 18892, 11695, 354, 267, 7274, 3069, 21999, 11111, 32172, 18028, 357, 11695, 355, 21005, 7162, 483, 23547, 27758, 2633, 369, 14098, 355, 5936, 353, 454, 30475, 585, 519, 7127, 834, 31642, 640, 3069, 4840, 1432, 568, 7274, 3069, 2495, 538, 19446, 267, 7274, 3069, 8144, 538, 19446, 267, 7274, 3069, 4214, 267, 5731, 9629, 725, 543, 1806, 540, 7274, 3069, 538, 19446, 269, 7274, 3069, 21999, 11111, 32172, 18028, 357, 11695, 355, 21005, 7162, 362, 21005, 23547, 18028, 480, 2633, 501, 267, 7274, 3069, 21999, 11111, 32172, 18028, 357, 11695, 355, 21005, 7162, 483, 18892, 11695, 354, 267, 7274, 3069, 21999, 11111, 32172, 18028, 357, 11695, 355, 21005, 7162, 483, 23547, 27758, 2633, 369, 14098, 355, 454, 5978, 29393, 616, 8799, 1932, 2336, 291, 5315, 269, 22564, 269, 18500, 269, 10632, 269, 30365, 269, 1280, 4548, 269, 700, 1235, 269, 1656, 811, 1862, 0, 2690, 1082, 540, 721, 267, 2921, 513, 7552, 547, 513, 8511, 6770, 513, 2631, 540, 9350, 543, 11005, 602, 568, 2182, 547, 6474, 269, 3509, 2371, 711, 1152, 2973, 519, 2011, 6923, 267, 855, 849, 5351, 538, 5834, 543, 2569, 2566, 2157, 269, 24664, 1176, 267, 609, 513, 2370, 948, 543, 1382, 267, 596, 666, 1711, 602, 1482, 8511, 1745, 538, 707, 1753, 269, 12989, 616, 519, 1283, 2777, 17852, 602, 616, 2653, 547, 1416, 585, 1247, 849, 4946, 3606, 2640, 547, 707, 1753, 563, 13349, 569, 1634, 607, 835, 540, 519, 1034, 27031, 2371, 267, 519, 13131, 2030, 568, 1360, 3551, 609, 922, 2115, 269, 31315, 2371, 666, 581, 20495, 585, 4374, 543, 1869, 3180, 741, 3337, 269, 1358, 666, 849, 7639, 1970, 1769, 2157, 267, 26221, 267, 543, 723, 1360, 1906, 5521, 2042, 269, 3194, 2982, 602, 891, 2371, 4894, 6101, 24957, 543, 22904, 2940, 689, 519, 2011, 269, 1677, 1832, 713, 2030, 6126, 267, 3274, 1747, 873, 538, 1463, 7943, 543, 1216, 2899, 519, 3037, 5594, 1743, 625, 593, 519, 2627, 563, 763, 14013, 3957, 17178, 2030, 814, 1279, 6094, 3762, 17708, 1154, 689, 922, 9703, 2147, 547, 20151, 593, 513, 1357, 269, 27413, 2039, 689, 3039, 547, 3043, 267, 543, 1419, 17708, 339, 6263, 3043, 5810, 269, 901, 2030, 23119, 689, 1360, 1906, 2042, 267, 2705, 267, 621, 666, 12212, 1397, 6960, 4388, 609, 16789, 1416, 269, 3629, 891, 2371, 609, 1134, 1673, 11712, 3037, 543, 6505, 23949, 1311, 1769, 543, 789, 786, 581, 2386, 547, 21707, 269, 6744, 519, 3037, 607, 547, 711, 936, 4248, 610, 519, 2030, 786, 1831, 521, 690, 4445, 563, 22296, 764, 28684, 543, 595, 716, 639, 12518, 454, 7212, 13151, 28684, 543, 21728, 328, 616, 1114, 2249, 267, 1312, 2371, 2887, 1369, 519, 1482, 1920, 543, 8853, 538, 1114, 9249, 269, 4107, 21728, 328, 616, 5963, 2966, 585, 519, 9390, 267, 1247, 1866, 21078, 6923, 538, 519, 26377, 540, 3162, 3013, 563, 22296, 764, 28684, 593, 519, 824, 1688, 3274, 3277, 547, 543, 2030, 609, 15123, 1506, 2694, 971, 607, 3762, 267, 11710, 267, 610, 5072, 269, 1452, 2371, 2661, 782, 936, 519, 1158, 543, 666, 7639, 538, 782, 1114, 2010, 540, 5054, 563, 23744, 6340, 267, 1312, 2371, 1152, 2154, 1507, 5666, 540, 1216, 543, 666, 2661, 609, 8766, 3007, 269, 1717, 267, 538, 1931, 585, 891, 2371, 547, 8853, 267, 922, 5227, 789, 581, 530, 23926, 693, 2547, 2899, 513, 3018, 269, 2142, 2386, 547, 2285, 519, 3037, 513, 1434, 865, 1136, 865, 602, 519, 1216, 8255, 856, 540, 519, 5377, 12775, 540, 519, 1494, 269, 4495, 519, 4365, 3579, 338, 267, 2371, 4283, 513, 968, 6135, 892, 1974, 1141, 922, 1655, 547, 1450, 519, 29238, 3037, 547, 3819, 1063, 14450, 563, 289, 16656, 267, 849, 1634, 607, 968, 331, 13806, 19348, 892, 814, 1044, 513, 27723, 2442, 2030, 538, 4457, 2528, 585, 7366, 540, 1296, 543, 814, 1152, 6607, 13702, 9643, 538, 519, 772, 2529, 1369, 519, 2250, 476, 1428, 1296, 269, 1411, 666, 723, 607, 1082, 610, 607, 2370, 26106, 802, 1927, 607, 596, 899, 267, 2705, 267, 621, 779, 15555, 1819, 547, 581, 3983, 9939, 547, 723, 476, 275, 13632, 693, 513, 942, 538, 707, 1753, 2687, 547, 3504, 4457, 2245, 269, 901, 2030, 29263, 538, 6505, 8279, 267, 543, 1152, 2115, 29352, 1169, 1906, 4374, 547, 1450, 1142, 2427, 547, 1205, 7850, 4598, 269, 769, 2474, 540, 1216, 267, 649, 4363, 4657, 519, 1216, 1169, 1906, 3275, 563, 290, 770, 11635, 7233, 454, 3080, 540, 519, 1034, 1455, 2777, 2371, 267, 519, 5641, 4401, 2030, 568, 5176, 967, 652, 1192, 1043, 269, 901, 2030, 568, 8659, 538, 3592, 1022, 1604, 543, 8591, 18932, 3039, 18565, 547, 1022, 4055, 269, 634, 1152, 2241, 9073, 596, 666, 1118, 568, 547, 936, 1216, 267, 610, 1747, 538, 1463, 7943, 269, 1280, 1655, 2164, 267, 1747, 538, 513, 26484, 1858, 269, 1284, 4363, 11093, 621, 2476, 689, 9486, 610, 2282, 5087, 1922, 5217, 2127, 540, 519, 1753, 1141, 1769, 666, 13248, 538, 269, 1280, 3037, 267, 519, 5641, 4401, 2030, 29263, 538, 22501, 610, 10036, 11934, 543, 21593, 513, 11003, 3490, 952, 12630, 3544, 269, 1452, 2371, 616, 10980, 2389, 26985, 855, 798, 991, 1216, 689, 942, 547, 942, 269, 6744, 1169, 865, 1419, 602, 519, 3037, 568, 5848, 543, 711, 12015, 856, 563, 4407, 930, 1004, 949, 723, 7411, 3395, 2371, 16280, 267, 519, 4457, 28033, 666, 1256, 1118, 14987, 1413, 899, 4966, 269, 901, 9341, 2030, 568, 1634, 585, 1373, 14463, 267, 2943, 849, 8353, 24312, 24886, 269, 1358, 7109, 730, 4057, 8654, 267, 10980, 267, 607, 1134, 607, 3819, 2011, 538, 519, 5162, 269, 1717, 267, 585, 1655, 2164, 267, 1747, 873, 538, 1134, 1673, 11712, 3037, 267, 609, 5420, 547, 1970, 1769, 2175, 269, 2422, 1134, 1673, 20995, 29238, 3037, 267, 543, 1118, 2386, 621, 568, 5116, 538, 606, 1858, 602, 814, 3636, 5210, 563, 303, 1054, 657, 616, 9341, 4104, 2371, 609, 11903, 6438, 8371, 543, 2295, 11057, 3762, 269, 1280, 1346, 945, 723, 8373, 5329, 2371, 9800, 267, 713, 568, 707, 1655, 3659, 269, 1358, 948, 1625, 1518, 519, 2011, 267, 1247, 849, 14762, 538, 1970, 1769, 543, 11195, 269, 1452, 2371, 666, 16641, 10714, 585, 1279, 5712, 540, 942, 1818, 621, 519, 3501, 2030, 585, 1004, 945, 1419, 7340, 547, 1216, 2371, 610, 2951, 585, 960, 269, 2290, 1271, 3815, 950, 7446, 713, 2030, 267, 2705, 267, 568, 952, 596, 723, 1022, 2831, 538, 707, 1753, 269, 901, 2030, 568, 1634, 547, 581, 6757, 547, 7314, 543, 666, 3441, 519, 5160, 538, 741, 5023, 267, 11563, 267, 610, 7181, 563, 3383, 267, 10544, 930, 12202, 17309, 543, 29238, 3037, 543, 3710, 606, 5863, 2030, 25113, 3330, 707, 1753, 269, 1280, 811, 4930, 593, 2777, 2371, 267, 2638, 856, 513, 5449, 2376, 1934, 267, 593, 875, 547, 1416, 585, 2777, 2371, 538, 519, 5162, 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 ]
[ 1604, 666, 581, 865, 11566, 602, 1004, 1810, 1406, 917, 1018, 547, 798, 610, 1141, 547, 1376, 1818, 513, 3017, 563, 763, 1592, 540, 2152, 4478, 938, 1604, 979, 593, 267, 855, 972, 616, 1614, 2101, 3283, 602, 1860, 519, 5354, 540, 873, 2949, 281, 2518, 8337, 543, 2916, 1689, 282, 1216, 5533, 543, 5836, 3679, 2305, 282, 543, 2530, 540, 9265, 269, 1452, 1614, 2152, 991, 7525, 3007, 543, 14942, 2962, 593, 938, 851, 547, 2327, 5726, 540, 519, 1152, 3110, 3386, 4541, 799, 649, 1289, 938, 1753, 269, 1656, 267, 2519, 3007, 593, 891, 1614, 2101, 3584, 786, 723, 513, 678, 21451, 1198, 593, 513, 1297, 540, 4130, 2825, 2152, 899, 28537, 9657, 1949, 543, 1426, 3653, 563, 4131, 779, 1413, 693, 1614, 2101, 2825, 2152, 543, 930, 3435, 799, 666, 948, 8396, 873, 912, 17471, 654, 9879, 543, 8693, 7827, 5274, 2238, 723, 1500, 2518, 8337, 543, 2916, 1689, 513, 2518, 3463, 269, 634, 8375, 2157, 540, 2910, 273, 543, 824, 8511, 9362, 723, 3361, 606, 2333, 538, 3328, 2518, 5210, 267, 3665, 4365, 2621, 267, 8375, 4262, 2157, 543, 824, 2942, 2242, 269, 1452, 2242, 616, 2047, 543, 18549, 7133, 782, 1272, 3029, 269, 21694, 540, 2011, 267, 2244, 543, 1216, 998, 7050, 17717, 267, 22713, 543, 936, 325, 3739, 26071, 799, 32307, 2910, 273, 543, 8591, 547, 8511, 3154, 5434, 616, 782, 1283, 2865, 3123, 540, 891, 2825, 2152, 269, 3371, 616, 930, 2500, 3435, 547, 891, 2042, 912, 268, 7767, 538, 543, 5000, 2504, 540, 4264, 2029, 454, 268, 20497, 543, 10821, 5656, 1058, 2832, 547, 3035, 4642, 15041, 2153, 610, 4642, 2914, 4292, 454, 268, 13724, 3653, 735, 9146, 538, 26071, 609, 5100, 2029, 899, 19335, 11741, 832, 799, 2337, 1863, 909, 2230, 585, 824, 16268, 3096, 269, 898, 2501, 538, 8795, 19206, 543, 19383, 585, 7829, 1114, 12531, 540, 17885, 454, 268, 21561, 4104, 3382, 267, 11177, 4262, 21823, 543, 5818, 946, 540, 6694, 3382, 7031, 547, 2569, 519, 2179, 540, 2910, 273, 538, 5790, 563, 12850, 21694, 543, 7909, 18729, 2305, 21826, 4683, 1646, 267, 16789, 21137, 12871, 676, 6080, 267, 3282, 29908, 267, 12871, 540, 3114, 543, 14599, 22837, 267, 543, 5068, 5533, 616, 930, 540, 519, 2101, 3123, 540, 1216, 5533, 269, 4653, 267, 1216, 20317, 543, 26130, 1216, 616, 30286, 513, 2462, 3463, 547, 519, 1480, 6228, 2066, 1082, 6082, 540, 519, 1158, 563, 302, 4117, 7297, 10110, 1472, 476, 1789, 2600, 540, 519, 3327, 8166, 602, 568, 5950, 538, 519, 5790, 269, 7909, 3679, 2305, 4386, 950, 519, 2910, 273, 12842, 676, 519, 26869, 25457, 513, 3126, 540, 3114, 6547, 799, 5012, 547, 2799, 5834, 540, 7250, 12274, 267, 3976, 1818, 519, 26869, 811, 15755, 269, 901, 11081, 519, 19941, 12274, 538, 519, 26869, 799, 2306, 621, 2352, 585, 804, 4461, 267, 2620, 4262, 27712, 267, 23690, 9094, 3092, 269, 547, 1628, 543, 2226, 741, 16115, 543, 824, 7513, 19941, 3889, 269, 1452, 2242, 538, 519, 5836, 1216, 7998, 666, 1860, 519, 2623, 540, 824, 7103, 849, 269, 901, 12662, 519, 3003, 5836, 1426, 1357, 693, 1981, 269, 5903, 539, 2630, 616, 930, 3800, 799, 666, 948, 2061, 1216, 5533, 543, 5836, 3679, 2305, 10778, 268, 6657, 811, 2500, 3800, 547, 2270, 29908, 454, 268, 4354, 18571, 7088, 1216, 20359, 543, 2030, 4054, 2282, 1216, 4703, 547, 2569, 3037, 11761, 454, 268, 30771, 519, 3060, 799, 21697, 519, 7893, 540, 23639, 2157, 547, 1683, 3173, 543, 32729, 6705, 609, 1279, 3856, 543, 1483, 6066, 9063, 1239, 454, 268, 19308, 5836, 3679, 2305, 6937, 883, 519, 9381, 7997, 2359, 4566, 540, 2829, 454, 268, 21561, 7286, 4027, 3800, 454, 299, 1601, 540, 26085, 26085, 2337, 2226, 519, 3666, 540, 519, 5117, 543, 2488, 6211, 2200, 799, 616, 2629, 585, 938, 6228, 269, 26335, 9552, 267, 2916, 1689, 267, 5533, 267, 6281, 14486, 543, 5189, 2249, 616, 513, 1906, 2081, 538, 799, 3425, 616, 20739, 1136, 688, 22106, 593, 519, 9265, 540, 713, 4541, 269, 13809, 540, 9265, 666, 581, 1293, 1229, 538, 513, 1297, 540, 2081, 912, 268, 6554, 1058, 1711, 543, 2936, 31749, 4507, 543, 4031, 1644, 547, 5726, 540, 9265, 454, 268, 17547, 7226, 9552, 543, 5000, 922, 11808, 454, 268, 6657, 4264, 2713, 454, 268, 21079, 12362, 2249, 454, 268, 3194, 5499, 2081, 547, 8190, 9265, 543, 13599, 519, 17069, 864, 827, 621, 454, 288, 16346, 543, 740, 320, 1632, 616, 1079, 1883, 3268, 2509, 25137, 713, 1630, 517, 1572, 1604, 269, 3962, 835, 540, 721, 666, 543, 1058, 798, 741, 3787, 547, 26193, 519, 2360, 540, 891, 2825, 2152, 543, 2327, 602, 938, 2104, 5481, 723, 513, 2635, 4541, 547, 2661, 563, 10666, 519, 8191, 454, 292, 5341, 4521, 5459, 568, 1360, 13730, 827, 519, 1604, 543, 568, 606, 12167, 540, 2500, 9657, 269, 1261, 11339, 593, 513, 2647, 5044, 540, 3584, 547, 1217, 3988, 593, 875, 2413, 9657, 3937, 666, 581, 1031, 676, 6080, 547, 2569, 10865, 729, 5653, 12014, 543, 2333, 9657, 8907, 269, 1411, 666, 1451, 811, 827, 1604, 9494, 2553, 676, 9683, 1010, 5816, 593, 3281, 18503, 5004, 7577, 563, 268, 16501, 5487, 31708, 769, 13774, 1116, 2817, 7025, 15272, 27545, 7027, 454, 268, 4993, 5398, 31740, 262, 4825, 790, 618, 3590, 1520, 1091, 1269, 2004, 9291, 542, 547, 8693, 20971, 676, 476, 10711, 271, 454, 297, 2002, 17130, 10414, 1234, 548, 1162, 6651, 547, 16259, 18877, 585, 8892, 17455, 12515, 454, 268, 16501, 1234, 2851, 476, 4037, 20587, 7388, 5406, 538, 18001, 476, 272, 540, 31410, 328, 11162, 1575, 27557, 454, 268, 772, 2529, 269, 8693, 23977, 1676, 1464, 12039, 18237, 9557, 11612, 4554, 7304, 7416, 19791, 454, 1692, 547, 3687, 4476, 12539, 14272, 2745, 593, 25021, 4303, 454, 268, 4107, 15019, 15080, 454, 268, 4107, 2506, 9229, 15080, 454, 5308, 11190, 674, 1149, 11882, 29133, 6713, 528, 585, 8881, 674, 841, 999, 11374, 31287, 28864, 454, 301, 3930, 327, 3045, 25555, 16771, 540, 519, 4831, 10623, 527, 562, 4817, 4161, 267, 522, 3333, 320, 267, 562, 764, 1723, 543, 562, 764, 1723, 5748, 6443, 4229, 547, 3986, 31219, 11346, 3106, 267, 16779, 3106, 281, 875, 3247, 960, 6392, 5546, 513, 10930, 9036, 2528, 267, 2825, 4027, 8761, 476, 1708, 274, 1007, 1587, 540, 519, 1032, 23602, 267, 12286, 1357, 14373, 267, 13167, 22979, 689, 10462, 281, 9183, 2861, 3665, 4365, 4058, 563, 1607, 1863, 3872, 1357, 14373, 786, 1683, 513, 2143, 1184, 585, 2916, 12454, 968, 2181, 268, 24978, 892, 538, 513, 3099, 540, 1883, 2127, 1519, 281, 18242, 20456, 2598, 4533, 687, 267, 31287, 8881, 543, 8605, 2032, 267, 27943, 543, 28597, 24093, 2560, 663, 1082, 811, 2127, 563, 268, 5682, 5264, 717, 1162, 454, 5715, 3233, 5794, 10866, 27933, 8187, 18394, 281, 634, 14087, 894, 540, 7464, 6066, 16424, 454, 268, 7025, 2657, 543, 8881, 454, 292, 5183, 7788, 25555, 11473, 2552, 652, 547, 24619, 17607, 540, 11272, 18815, 454, 9558, 14127, 8693, 7827, 609, 3281, 24031, 5303, 281, 589, 12655, 8827, 454, 268, 6820, 8693, 7827, 454, 268, 24997, 6052, 454, 763, 5177, 20513, 540, 5398, 2657, 814, 5063, 3144, 9562, 540, 519, 2657, 11310, 4199, 269, 901, 1007, 267, 6994, 6954, 3896, 568, 1869, 896, 1646, 543, 972, 949, 581, 930, 2152, 17034, 1543, 269, 3958, 267, 519, 1543, 814, 711, 1044, 2912, 1243, 610, 20240, 676, 519, 20513, 540, 5398, 2657, 607, 851, 540, 606, 5571, 2298, 22059, 1184, 543, 607, 971, 1978, 1570, 3769, 6148, 856, 540, 4266, 269, 1403, 596, 723, 1022, 4145, 3823, 1543, 596, 1058, 3343, 547, 10446, 13182, 713, 563, 32325, 585, 5464, 543, 1852, 540, 2825, 10898, 630, 10175, 1426, 543, 1216, 3106, 267, 11626, 5533, 543, 824, 6757, 10898, 267, 6846, 267, 543, 9357, 2358, 543, 13590, 5982, 264, 543, 12440, 13753, 454, 32325, 585, 5464, 543, 1852, 540, 2825, 10898, 630, 10175, 1426, 543, 1216, 3106, 267, 11626, 5533, 543, 824, 6757, 10898, 267, 6846, 267, 543, 9357, 2358, 267, 13590, 5982, 543, 12440, 13753, 454, 763, 5464, 543, 1852, 540, 2825, 10898, 547, 1072, 14122, 513, 2647, 2039, 540, 3527, 267, 1142, 3358, 547, 519, 1880, 9651, 610, 1106, 540, 1857, 1072, 6161, 269, 16424, 10522, 946, 540, 6296, 7403, 547, 3713, 2242, 538, 519, 1604, 610, 1072, 267, 543, 666, 581, 1759, 593, 1239, 689, 513, 2647, 3099, 540, 2959, 269, 634, 1852, 540, 2825, 10898, 5673, 593, 10747, 11807, 2157, 540, 4598, 543, 8754, 1072, 1981, 543, 8159, 519, 2157, 540, 1852, 2877, 547, 1832, 4598, 2630, 9138, 29676, 269, 3487, 7781, 2152, 540, 1852, 616, 5941, 538, 6935, 547, 1426, 543, 1216, 3106, 267, 11626, 5533, 267, 6846, 267, 543, 9357, 2358, 543, 13590, 5982, 269, 589, 1808, 3390, 540, 1072, 8343, 4143, 547, 2825, 10898, 568, 519, 2048, 323, 1047, 848, 12440, 9957, 1849, 13831, 13753, 616, 1360, 11786, 267, 2705, 267, 543, 2356, 711, 26656, 267, 1317, 789, 616, 12691, 547, 1291, 547, 1022, 2312, 5813, 827, 519, 5169, 540, 519, 12440, 563, 7659, 8847, 543, 2474, 454, 290, 23835, 1503, 540, 1808, 2825, 10898, 454, 268, 1849, 31255, 723, 681, 1054, 2006, 269, 589, 865, 828, 532, 1376, 547, 519, 12440, 1532, 31255, 10554, 269, 2549, 808, 10153, 25731, 2723, 476, 866, 476, 3445, 282, 15171, 281, 338, 277, 268, 1724, 454, 268, 3026, 583, 571, 267, 681, 269, 22388, 4812, 689, 513, 12440, 1532, 13831, 269, 2549, 808, 25731, 2723, 269, 476, 1960, 271, 282, 476, 15171, 281, 476, 272, 268, 279, 563, 268, 5617, 548, 322, 267, 590, 269, 543, 670, 2946, 3000, 267, 667, 269, 630, 1220, 276, 264, 5775, 342, 1359, 1849, 13831, 27148, 10671, 3949, 281, 634, 10025, 540, 11822, 3244, 2827, 543, 18926, 13088, 269, 3864, 4750, 540, 25731, 5735, 269, 4864, 476, 1220, 276, 267, 11730, 476, 736, 267, 17136, 476, 279, 267, 6032, 476, 5780, 274, 268, 6858, 272, 454, 268, 6153, 2006, 631, 1421, 715, 2727, 534, 808, 2529, 1421, 6153, 2006, 667, 1421, 5487, 30747, 808, 267, 306, 269, 630, 1001, 273, 1040, 9435, 13421, 538, 519, 7330, 281, 1548, 798, 519, 2063, 476, 736, 1296, 540, 1533, 543, 5313, 13753, 2995, 721, 286, 11879, 17352, 538, 24768, 1108, 269, 476, 5655, 263, 277, 2567, 476, 5325, 275, 268, 275, 3445, 563, 268, 15509, 269, 13832, 585, 15766, 908, 1849, 31255, 540, 2657, 15638, 269, 630, 1960, 271, 2567, 5291, 2517, 4178, 6983, 26501, 10993, 270, 7825, 342, 337, 270, 2181, 1613, 270, 7825, 342, 337, 6255, 6447, 270, 1822, 30203, 9032, 21867, 454, 291, 9128, 6938, 5794, 10866, 15613, 3896, 281, 4179, 2517, 4178, 10993, 16896, 17320, 17922, 9706, 3016, 725, 270, 1492, 25101, 7779, 268, 1598, 1538, 344, 16519, 7498, 13233, 7025, 5398, 2657, 31524, 5358, 630, 24922, 2567, 5291, 2517, 4178, 6983, 26501, 10993, 270, 1338, 327, 270, 10177, 9535, 13045, 9172, 342, 1359, 1849, 13831, 27148, 10671, 3949, 281, 634, 10025, 540, 11822, 3244, 2827, 543, 18926, 13088, 281, 5291, 2517, 15062, 4732, 1440, 5424, 2593, 270, 14835, 270, 1015, 269, 1911, 278, 4882, 11793, 7918, 268, 22650, 268, 8064, 273, 275, 14870, 6124, 10215, 5583, 281, 15766, 908, 1849, 31255, 540, 6348, 4211, 2174, 684, 27809, 8376, 281, 13832, 585, 1857, 1072, 4559, 281, 5291, 2517, 4178, 269, 8234, 10993, 339, 8542, 345, 9706, 3016, 566, 30032, 4034, 580, 908, 12641, 31255, 5991, 517, 268, 10919, 27809, 1673, 1047, 848, 28621, 573, 3894, 1790, 3016, 268, 8234, 26972, 454, 301, 5930, 4133, 5583, 281, 538, 667, 686, 329, 591, 267, 631, 267, 22084, 2421, 267, 589, 1421, 918, 516, 529, 267, 594, 6993, 630, 1001, 274, 264, 1849, 13831, 7634, 3184, 267, 538, 12708, 338, 540, 7025, 25731, 5735, 585, 2657, 10466, 267, 589, 25156, 585, 2361, 4648, 267, 918, 516, 529, 267, 594, 269, 589, 267, 22084, 2421, 267, 589, 1421, 15182, 31651, 267, 717, 2529, 267, 631, 792, 320, 267, 808, 269, 543, 25371, 267, 966, 269, 3184, 476, 866, 267, 3817, 476, 1960, 268, 21076, 563, 15100, 3220, 6754, 12070, 330, 8657, 476, 1220, 280, 267, 24796, 595, 4599, 2041, 543, 31929, 19171, 476, 1001, 277, 454, 14959, 1305, 4808, 543, 7182, 585, 6704, 1216, 2073, 1294, 5291, 2517, 4178, 269, 15367, 269, 842, 270, 4248, 5334, 534, 2787, 318, 8234, 7933, 342, 336, 270, 7666, 573, 3894, 19841, 13045, 8802, 4327, 676, 519, 25530, 4826, 28018, 28672, 538, 519, 5177, 281, 1294, 5291, 2517, 4178, 6155, 342, 328, 10993, 16896, 27651, 21867, 454, 661, 3052, 269, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2012, 540, 519, 6446, 2075, 648, 6512, 2696, 1772, 3733, 3213, 6261, 559, 582, 267, 3203, 2037, 14517, 2986, 681, 820, 568, 513, 5309, 593, 519, 2012, 540, 8097, 15690, 7104, 3203, 2037, 14517, 540, 9628, 543, 634, 15681, 6874, 1446, 7720, 690, 568, 513, 5309, 593, 519, 28089, 30129, 26766, 2110, 1650, 834, 763, 15681, 6874, 1446, 9839, 1701, 769, 1840, 267, 2608, 763, 3382, 1148, 540, 519, 674, 18017, 476, 273, 2372, 11467, 1656, 589, 19162, 601, 5595, 2661, 7131, 568, 513, 14842, 540, 519, 3382, 540, 31111, 1418, 626, 5164, 326, 559, 16737, 781, 2038, 268, 262, 3583, 338, 2661, 17581, 24581, 5029, 454, 763, 631, 4660, 7723, 1899, 568, 513, 16749, 1899, 538, 13573, 267, 4789, 269, 898, 11651, 2471, 689, 519, 932, 987, 600, 1292, 1899, 693, 4210, 534, 2917, 808, 4233, 543, 23131, 1524, 519, 667, 13873, 628, 14860, 547, 17305, 5112, 22882, 267, 621, 5170, 3842, 16907, 965, 5682, 1299, 654, 549, 628, 600, 543, 631, 4660, 7723, 5101, 547, 12891, 5112, 267, 1141, 621, 26082, 519, 3162, 8109, 6301, 7412, 269, 634, 1899, 729, 3710, 676, 519, 5507, 543, 667, 1478, 24020, 689, 741, 1101, 1899, 269, 16270, 519, 5137, 540, 519, 3162, 8109, 543, 932, 987, 600, 24020, 519, 3312, 12891, 5112, 2165, 19434, 729, 6806, 538, 476, 6245, 280, 543, 2533, 11651, 1540, 547, 519, 3162, 8109, 24020, 781, 12891, 5112, 6728, 282, 519, 1899, 729, 18546, 1881, 538, 476, 4350, 280, 547, 631, 4660, 7723, 5101, 676, 519, 8828, 24020, 1991, 547, 2622, 2782, 5565, 269, 5082, 30826, 1063, 631, 4660, 7723, 5101, 543, 12891, 5112, 729, 6192, 538, 476, 3422, 272, 896, 519, 19836, 476, 4198, 276, 7073, 5314, 4643, 269, 3004, 794, 1699, 568, 13859, 693, 476, 16020, 24311, 9823, 3842, 519, 12059, 12565, 282, 519, 3761, 585, 713, 568, 13327, 523, 676, 623, 5417, 1442, 8381, 15379, 6513, 18740, 269, 6178, 16226, 568, 25397, 18065, 13332, 609, 2789, 2460, 7990, 1769, 6786, 2429, 267, 6417, 676, 12891, 5112, 594, 4488, 290, 282, 519, 1899, 568, 5595, 3950, 2429, 563, 306, 26236, 593, 519, 1899, 616, 2196, 676, 590, 21750, 269, 7896, 2196, 547, 5507, 15117, 543, 12891, 5112, 267, 610, 2052, 26248, 4639, 609, 930, 8445, 2533, 547, 5507, 4563, 325, 686, 1513, 269, 16952, 2533, 998, 5507, 786, 581, 5189, 607, 851, 540, 519, 774, 1868, 15062, 19510, 269, 962, 21789, 267, 3627, 269, 717, 14283, 10496, 10849, 269, 24020, 25397, 30894, 1107, 11730, 476, 276, 4789, 543, 5507, 26789, 269, 1401, 2678, 281, 2372, 841, 10934, 3213, 269, 9768, 476, 272, 268, 279, 7176, 274, 268, 5002, 278, 268, 274, 454, 25324, 1014, 18654, 1634, 676, 824, 1455, 4408, 971, 607, 6079, 1652, 18654, 267, 19594, 1087, 18654, 543, 570, 1695, 16951, 18654, 267, 568, 513, 20521, 4829, 2249, 540, 10316, 5169, 267, 1634, 1152, 538, 14713, 269, 634, 14655, 18654, 568, 513, 2468, 30666, 3444, 1063, 1883, 11993, 269, 4014, 972, 616, 824, 20521, 2249, 602, 616, 5219, 547, 607, 834, 331, 1307, 2580, 519, 14655, 18654, 568, 519, 1034, 16916, 18654, 2249, 20749, 267, 6589, 585, 519, 4102, 2671, 540, 519, 5613, 4421, 607, 561, 1307, 282, 519, 4829, 7140, 5835, 607, 621, 18009, 839, 267, 855, 621, 568, 4421, 1247, 1869, 3039, 269, 634, 3529, 568, 5176, 555, 1941, 1652, 282, 519, 4829, 568, 827, 476, 277, 4699, 538, 8006, 609, 562, 2089, 1194, 7475, 267, 568, 4421, 1247, 3039, 267, 4352, 621, 586, 749, 3298, 607, 621, 10301, 2407, 18009, 8864, 269, 898, 568, 4922, 2139, 12015, 267, 607, 621, 568, 1031, 713, 1259, 538, 14655, 11951, 267, 621, 568, 23198, 1606, 7219, 2740, 267, 609, 1447, 7920, 20521, 12906, 18267, 982, 519, 1883, 18654, 269, 634, 5383, 540, 519, 14655, 18654, 538, 5010, 6683, 3379, 547, 519, 1883, 18654, 616, 519, 3677, 2450, 267, 9000, 540, 5452, 267, 9000, 540, 5247, 985, 593, 519, 26965, 267, 3476, 4829, 15808, 1272, 267, 789, 616, 1447, 15755, 982, 1883, 561, 1307, 543, 798, 711, 723, 519, 15280, 1145, 602, 561, 1742, 547, 519, 1883, 18654, 781, 2189, 8137, 563, 25324, 1014, 561, 1307, 941, 1101, 6738, 593, 513, 1804, 4336, 538, 7013, 12925, 269, 634, 4054, 616, 9070, 730, 804, 517, 958, 267, 676, 2011, 2482, 1359, 269, 14655, 561, 1307, 616, 5010, 1242, 538, 3670, 7306, 267, 1634, 607, 476, 8099, 781, 267, 476, 5611, 781, 267, 476, 11260, 781, 267, 476, 1220, 781, 267, 476, 15996, 781, 543, 476, 7742, 781, 269, 14066, 2338, 540, 14655, 561, 1307, 616, 6738, 543, 29633, 1169, 1032, 689, 6792, 547, 519, 1977, 543, 7489, 6990, 269, 769, 476, 1001, 275, 267, 8478, 729, 2101, 1163, 7163, 540, 4195, 561, 1307, 547, 2342, 609, 6792, 23478, 1034, 540, 519, 14230, 269, 4980, 643, 1513, 1331, 281, 19594, 1087, 18654, 8525, 18654, 14655, 18654, 9501, 289, 268, 278, 623, 1180, 781, 18654, 570, 1695, 16951, 18654, 4578, 1644, 547, 13022, 6350, 4234, 604, 16288, 693, 22816, 529, 23853, 570, 1695, 16951, 18654, 7762, 1415, 543, 1686, 454, 16158, 1729, 517, 15552, 1677, 1180, 571, 8058, 568, 513, 476, 1001, 276, 3162, 11114, 8613, 3126, 588, 18732, 5244, 28044, 3620, 11445, 267, 12312, 29883, 3917, 537, 978, 543, 13690, 19109, 2426, 6879, 1731, 269, 634, 1101, 4005, 513, 1600, 593, 10814, 8756, 631, 6195, 5272, 476, 272, 689, 5147, 476, 2767, 547, 5239, 476, 866, 267, 476, 1001, 276, 267, 543, 519, 2034, 4005, 513, 1600, 593, 519, 1482, 8756, 689, 5130, 476, 2764, 547, 4989, 476, 1691, 267, 476, 1001, 277, 269, 5244, 28044, 3620, 11445, 607, 962, 809, 13259, 3917, 537, 978, 5244, 661, 684, 5498, 758, 607, 808, 5622, 1684, 18191, 514, 10557, 932, 592, 2914, 5622, 607, 13391, 2131, 1744, 514, 1530, 334, 12390, 3766, 6614, 565, 607, 932, 2801, 918, 836, 2914, 5622, 3619, 5754, 684, 607, 3619, 962, 784, 268, 16660, 28044, 19129, 3620, 3019, 607, 13690, 590, 2426, 15902, 10557, 5754, 2426, 1606, 4157, 607, 13690, 32765, 836, 15902, 13690, 28044, 1606, 4157, 607, 667, 611, 918, 1014, 10019, 607, 13690, 1261, 324, 15902, 1744, 514, 808, 328, 27940, 334, 607, 1744, 514, 12794, 268, 3534, 13690, 918, 6614, 784, 1606, 1731, 5244, 1924, 3887, 684, 12312, 29883, 3917, 537, 978, 10557, 1684, 334, 268, 559, 16334, 16660, 758, 335, 1074, 10557, 13961, 3887, 517, 24722, 3896, 0, 763, 1153, 729, 2813, 676, 519, 3972, 4315, 540, 645, 699, 320, 5441, 1310, 519, 4303, 4521, 5293, 519, 17996, 22694, 1155, 538, 476, 5002, 275, 269, 898, 2322, 606, 1439, 547, 519, 7292, 569, 7471, 2069, 693, 645, 699, 320, 602, 1185, 16768, 2094, 519, 1439, 540, 519, 6406, 2782, 269, 634, 27428, 540, 519, 1153, 8359, 519, 2012, 12493, 950, 789, 7691, 602, 972, 729, 1100, 3872, 9872, 538, 519, 1533, 540, 17996, 3957, 1310, 519, 7022, 563, 763, 27428, 8385, 5497, 12493, 547, 581, 513, 2852, 607, 1134, 607, 513, 1164, 1153, 267, 855, 676, 519, 476, 4350, 271, 338, 621, 5795, 909, 922, 21738, 2852, 1599, 269, 12493, 6035, 1312, 25367, 2069, 543, 3044, 1164, 1153, 5049, 269, 634, 1053, 3812, 519, 1153, 781, 1426, 593, 519, 13464, 262, 476, 29900, 14143, 630, 5197, 3873, 1040, 0, 265, 5591, 3718, 24764, 454, 306, 5593, 29315, 568, 2808, 547, 581, 835, 540, 6723, 24527, 26396, 781, 6574, 1568, 269, 634, 1404, 9388, 609, 1641, 2339, 17640, 547, 2621, 1310, 519, 12280, 540, 29315, 540, 20211, 269, 769, 519, 1404, 267, 26396, 30417, 1082, 2042, 4857, 676, 13915, 607, 11342, 538, 930, 540, 1010, 824, 1603, 269, 2368, 723, 22309, 26396, 267, 19101, 602, 646, 11148, 547, 9446, 32601, 18840, 20200, 531, 3197, 267, 2864, 982, 1134, 25454, 1825, 15344, 2043, 269, 3571, 4249, 723, 849, 1044, 4330, 607, 15877, 2962, 543, 1373, 1932, 1705, 12519, 269, 769, 12142, 29315, 267, 26396, 4389, 519, 8515, 540, 891, 5892, 22309, 3335, 1744, 822, 1014, 2609, 543, 3976, 267, 1558, 609, 1454, 2565, 1967, 269, 1717, 267, 538, 1250, 2070, 267, 519, 1404, 781, 3134, 559, 4084, 568, 32118, 543, 11991, 269, 898, 9247, 28197, 543, 25040, 519, 2621, 540, 519, 1404, 1510, 7393, 519, 12416, 269, 1656, 5713, 547, 1039, 3140, 5013, 799, 616, 2901, 5432, 547, 519, 5304, 610, 799, 1223, 723, 1044, 17332, 5578, 2685, 883, 519, 1560, 540, 519, 1404, 585, 454, 24030, 518, 10565, 1198, 269, 898, 4667, 3592, 607, 952, 26396, 729, 12922, 602, 1010, 5304, 1131, 711, 1174, 519, 1404, 910, 646, 5433, 25997, 547, 1118, 1010, 2093, 20501, 538, 519, 3134, 559, 4084, 563, 763, 2962, 540, 519, 3134, 559, 4084, 3217, 1747, 8938, 19317, 1296, 1310, 29315, 540, 20211, 729, 14616, 269, 3751, 8176, 814, 513, 5326, 538, 799, 1082, 540, 519, 3197, 540, 519, 1404, 2408, 269, 1452, 3197, 267, 1519, 29315, 267, 2901, 2491, 741, 2623, 602, 649, 4312, 2938, 2429, 519, 1404, 610, 9305, 930, 3140, 1249, 602, 26396, 1590, 723, 2938, 607, 2556, 585, 519, 5304, 547, 581, 3222, 540, 269, 634, 1101, 1915, 602, 5526, 693, 8176, 262, 5127, 568, 19656, 9410, 28247, 1597, 340, 267, 945, 538, 26657, 17886, 15548, 538, 519, 4693, 3056, 547, 29315, 779, 24235, 269, 4438, 555, 2483, 1862, 1647, 540, 1957, 4429, 1862, 324, 5963, 10143, 269, 1635, 2566, 532, 713, 1448, 865, 16765, 569, 267, 26396, 568, 25588, 519, 5304, 936, 519, 2212, 267, 2899, 1586, 896, 12827, 1154, 519, 11029, 1399, 540, 519, 1964, 540, 519, 1404, 563, 4537, 1177, 781, 17279, 538, 519, 3134, 559, 4084, 540, 519, 1543, 543, 4798, 8659, 538, 12142, 29315, 267, 5916, 609, 519, 24450, 540, 17033, 3140, 5013, 15877, 538, 10565, 10083, 267, 568, 513, 16950, 547, 1018, 568, 6382, 513, 13085, 1404, 269, 26396, 781, 991, 547, 2491, 1010, 960, 267, 607, 23576, 676, 1010, 17890, 4776, 2167, 547, 1082, 4249, 267, 1034, 2693, 25997, 1864, 547, 1331, 454, 1492, 3134, 559, 4084, 269, 1717, 267, 519, 8763, 3137, 8659, 538, 519, 3134, 559, 4084, 24390, 519, 1379, 540, 519, 2962, 602, 9551, 525, 621, 269, 1306, 513, 1267, 267, 606, 5304, 568, 2693, 547, 2097, 2476, 689, 519, 2773, 3362, 2111, 547, 9959, 1018, 26396, 781, 15752, 941, 267, 2864, 982, 4947, 547, 519, 2093, 602, 26396, 4941, 547, 1459, 676, 10452, 593, 519, 2621, 540, 519, 1404, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 769, 1840, 547, 1373, 513, 2797, 19191, 267, 513, 5339, 543, 7574, 10404, 267, 543, 513, 29787, 267, 6723, 24527, 26396, 729, 513, 31075, 543, 513, 7415, 835, 693, 602, 282, 1010, 9058, 16555, 593, 971, 18125, 540, 1272, 607, 7365, 267, 2069, 267, 2229, 267, 4984, 267, 543, 1514, 4567, 5036, 1864, 6306, 689, 824, 24420, 23412, 540, 1010, 942, 269, 634, 942, 540, 6723, 24527, 26396, 779, 2069, 5129, 513, 1507, 267, 2705, 1271, 1909, 538, 1010, 4876, 269, 634, 1198, 540, 1010, 3872, 4876, 607, 513, 2875, 1419, 6410, 883, 1010, 3332, 2807, 1496, 15912, 281, 22335, 2639, 278, 1704, 1913, 630, 273, 3817, 994, 268, 634, 5020, 543, 19396, 540, 6723, 24527, 26396, 6723, 24527, 26396, 729, 606, 12835, 16438, 2880, 5856, 543, 10584, 945, 17947, 1082, 5396, 602, 1010, 9905, 1185, 711, 2943, 546, 1563, 547, 9784, 269, 1261, 568, 2808, 547, 581, 519, 1655, 543, 1034, 1713, 31075, 2094, 5261, 9956, 269, 3571, 1272, 543, 4876, 941, 5059, 5631, 593, 1514, 6963, 269, 24527, 729, 4535, 593, 5147, 476, 2918, 267, 476, 6977, 277, 538, 25212, 267, 8581, 269, 3571, 3237, 941, 3993, 12359, 25475, 10906, 717, 8765, 543, 4651, 6723, 29336, 26396, 269, 3571, 4651, 543, 22516, 941, 1312, 4568, 923, 2807, 1496, 15912, 281, 14430, 2639, 3199, 274, 1913, 630, 273, 269, 274, 3817, 994, 268, 769, 519, 2494, 543, 8111, 2006, 1404, 6723, 24527, 26396, 3096, 1082, 2093, 689, 519, 942, 547, 1118, 835, 540, 519, 1655, 11509, 635, 12203, 540, 922, 942, 269, 769, 713, 30527, 5736, 24420, 23412, 1131, 946, 1082, 12485, 547, 1118, 741, 4249, 519, 1034, 10853, 269, 968, 5472, 519, 4249, 723, 2147, 2609, 971, 607, 519, 16023, 602, 782, 4249, 4927, 3100, 899, 1483, 1004, 538, 1483, 7653, 267, 11580, 1634, 547, 519, 5304, 855, 711, 824, 3197, 267, 543, 1142, 1367, 957, 28197, 519, 2489, 2962, 540, 519, 3003, 1404, 1848, 630, 295, 558, 2457, 4732, 32508, 12975 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1345, 6745, 13759, 22674, 4379, 27663, 2018, 608, 690, 12774, 815, 12605, 12774, 314, 1345, 20216, 690, 22674, 8435, 316, 952, 1582, 20216, 690, 22674, 8435, 568, 711, 7183, 3116, 7183, 454, 2018, 20925, 12774, 815, 1582, 11519, 22056, 4671, 20995, 12774, 4433, 7685, 284, 339, 13759, 12774, 267, 608, 690, 284, 1410, 690, 12774, 1040, 335, 323, 12774, 18134, 4590, 2018, 952, 834, 338, 7685, 257, 538, 15040, 4311, 6230, 617, 601, 32265, 1040, 12407, 4394, 912, 3546, 20925, 12774, 815, 5384, 306, 7685, 269, 5228, 12774, 18134, 263, 1150, 26511, 12774, 267, 1954, 336, 284, 1345, 6745, 20995, 5334, 7685, 8807, 516, 336, 994, 3546, 9472, 815, 1582, 6230, 617, 601, 4877, 9438, 3799, 284, 6352, 263, 1150, 26511, 12774, 13211, 14030, 23526, 608, 690, 284, 1150, 26511, 12774, 2676, 14030, 23526, 2878, 29220, 16911, 994, 3546, 9472, 815, 9472, 4877, 323, 12774, 18134, 14061, 11161, 454, 2018, 3116, 912, 3546, 9472, 815, 1582, 6230, 617, 601, 4877, 9438, 263, 1150, 26511, 12774, 267, 2878, 29220, 16911, 994, 2018, 9472, 815, 9472, 314, 271, 316, 952, 568, 27349, 263, 1150, 4751, 314, 271, 3910, 5286, 269, 526, 6783, 264, 3116, 9472, 692, 2018, 1948, 16259, 12605, 1239, 454, 2018, 952, 1582, 27982, 9078, 698, 3436, 476, 271, 912, 3546, 12605, 12774, 815, 12605, 12774, 11468, 268, 272, 316, 1948, 17179, 2063, 546, 16244, 4737, 454, 3546, 16289, 32284, 815, 20886, 1150, 4751, 314, 271, 3910, 2608, 1410, 690, 269, 559, 665, 5157, 267, 2433, 4940, 11161, 14963, 952, 1582, 20216, 690, 22674, 8435, 568, 711, 7183, 3116, 1496, 1150, 4751, 2639, 3546, 12605, 12774, 815, 12605, 12774, 6910, 28767, 263, 6572, 32284, 994, 3546, 12605, 12774, 815, 12605, 12774, 6910, 28767, 5560, 16244, 32284, 25011, 272, 281, 6540, 2018, 1948, 2561, 754, 9472, 454, 2018, 23004, 5157, 316, 815, 9472, 314, 271, 2639, 1038, 2132, 1582, 11519, 28265, 318, 1150, 4751, 5334, 7685, 18828, 15126, 263, 1150, 4751, 338, 11723, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1582, 6230, 617, 601, 14857, 1598, 1029, 3890, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 258, 25363, 618, 659, 10937, 5903, 344, 563, 258, 307, 7495, 302, 281, 4990, 267, 5299, 692, 5035, 5903, 320, 21223, 12661, 10031, 22592, 6449, 8181, 9191, 1345, 267, 324, 12661, 267, 10113, 22561, 2187, 453, 19677, 4318, 12661, 815, 1605, 332, 454, 453, 19677, 12785, 815, 1985, 692, 5035, 5903, 320, 10031, 22592, 6449, 8181, 9191, 1345, 2187, 453, 19677, 8807, 1009, 815, 7183, 692, 22592, 6449, 516, 1440, 9191, 1345, 2187, 453, 14851, 1582, 8807, 1009, 2652, 7183, 912, 4848, 16596, 1412, 26514, 7055, 453, 16596, 1412, 9131, 1341, 1193, 4311, 8807, 1009, 4318, 12661, 264, 1341, 1193, 4311, 16096, 4311, 8807, 1009, 12785, 11723, 22592, 6449, 6352, 9191, 1345, 2187, 453, 16596, 1582, 18622, 330, 318, 6352, 4311, 8807, 1009, 2020, 22592, 6449, 3438, 9191, 1345, 2567, 3097, 453, 19677, 269, 527, 815, 1582, 8807, 1009, 454, 453, 16596, 1582, 692, 22592, 6449, 10113, 9191, 1345, 2187, 453, 453, 527, 815, 1582, 269, 527, 692, 453, 14851, 621, 2652, 7183, 281, 3097, 4848, 453, 571, 1047, 17547, 296, 614, 566, 8528, 453, 19677, 269, 527, 815, 621, 12785, 282, 3097, 453, 16596, 621, 4318, 12661, 692, 22592, 2063, 4311, 267, 739, 520, 2187, 453, 14851, 26723, 520, 2652, 7183, 912, 4848, 16596, 1412, 316, 7055, 453, 28432, 912, 4848, 16596, 22207, 1412, 1341, 1193, 263, 739, 520, 4318, 12661, 264, 1341, 1193, 4311, 16096, 263, 739, 520, 12785, 11723, 22592, 556, 330, 318, 6352, 4311, 267, 739, 520, 2187, 453, 14851, 26723, 520, 2652, 7183, 912, 4848, 16596, 476, 271, 454, 453, 28432, 912, 4848, 16596, 476, 272, 1341, 1582, 18622, 330, 318, 6352, 263, 739, 520, 12785, 2020, 22592, 16289, 4311, 267, 324, 12661, 2187, 453, 453, 323, 815, 5903, 320, 21223, 12661, 16216, 12661, 994, 453, 14851, 1582, 8807, 1009, 2652, 7183, 912, 4848, 19677, 8807, 1009, 815, 546, 454, 453, 28432, 912, 4848, 453, 335, 815, 1582, 8807, 1009, 454, 4848, 453, 6112, 533, 12785, 11203, 7183, 912, 15235, 453, 335, 815, 533, 12785, 454, 4848, 453, 335, 12785, 815, 546, 692, 22592, 2312, 4311, 2187, 453, 19677, 8807, 1009, 815, 7183, 692, 22592, 1402, 4311, 2187, 453, 453, 323, 815, 1582, 8807, 1009, 454, 453, 453, 6112, 546, 12785, 11203, 7183, 912, 4848, 453, 16647, 337, 7458, 14269, 815, 546, 454, 4848, 453, 323, 815, 546, 12785, 454, 453, 453, 16647, 337, 7458, 14269, 12785, 815, 7183, 454, 453, 16596, 546, 4318, 12661, 692, 22592, 4894, 4311, 267, 324, 12661, 2187, 453, 453, 323, 815, 1582, 8807, 1009, 454, 453, 453, 6112, 546, 4318, 12661, 11203, 1605, 332, 912, 4848, 453, 16647, 337, 7458, 14269, 815, 546, 454, 4848, 453, 323, 815, 546, 12785, 454, 453, 453, 16647, 337, 7458, 14269, 12785, 815, 546, 12785, 692, 22592, 9258, 4311, 267, 324, 815, 7183, 28504, 815, 7183, 2187, 453, 14851, 546, 2652, 7183, 912, 4848, 453, 323, 815, 1582, 8807, 1009, 454, 453, 14851, 546, 12785, 2652, 7183, 912, 4848, 453, 323, 12785, 815, 552, 454, 4848, 19677, 8807, 1009, 815, 546, 454, 453, 28432, 912, 4848, 19677, 18622, 2091, 5560, 28504, 12785, 994, 4848, 453, 323, 12785, 815, 552, 692, 22592, 7696, 4311, 28872, 9926, 267, 324, 12661, 2187, 453, 453, 2908, 815, 5903, 320, 21223, 12661, 16216, 12661, 994, 453, 14851, 1093, 345, 2652, 476, 271, 912, 4848, 453, 2908, 12785, 815, 1582, 8807, 1009, 454, 4848, 19677, 8807, 1009, 815, 1007, 454, 453, 28432, 912, 4848, 453, 323, 815, 1582, 8807, 1009, 454, 4848, 22610, 1775, 538, 2039, 9638, 9926, 2187, 15235, 453, 16647, 337, 7458, 14269, 815, 546, 454, 15235, 14851, 1402, 337, 7458, 14269, 12785, 2652, 7183, 912, 20930, 453, 16647, 337, 7458, 14269, 12785, 815, 1007, 454, 20930, 453, 19874, 454, 15235, 453, 323, 815, 546, 12785, 454, 4848, 14851, 1402, 337, 7458, 14269, 12785, 11203, 1007, 912, 15235, 453, 16647, 337, 7458, 14269, 12785, 815, 1007, 454, 15235, 453, 2908, 12785, 815, 546, 692, 22592, 4994, 4311, 267, 324, 12661, 2187, 453, 453, 323, 815, 1582, 8807, 1009, 454, 453, 453, 328, 815, 476, 271, 454, 453, 453, 6112, 546, 4318, 12661, 11203, 1605, 332, 912, 4848, 453, 16647, 337, 7458, 14269, 815, 546, 454, 4848, 453, 323, 815, 546, 12785, 454, 4848, 453, 328, 6834, 476, 272, 454, 453, 16596, 1775, 692, 22592, 8831, 4311, 267, 924, 2187, 453, 22610, 1775, 538, 621, 324, 912, 4848, 19677, 6910, 9217, 2020, 22592, 1293, 4311, 267, 324, 12661, 2187, 453, 453, 323, 815, 1582, 8807, 1009, 454, 453, 453, 328, 815, 476, 271, 454, 453, 453, 6112, 546, 11203, 7183, 912, 4848, 14851, 546, 4318, 12661, 2652, 1605, 332, 912, 15235, 453, 328, 6834, 476, 272, 454, 4848, 453, 323, 815, 546, 12785, 454, 453, 16596, 1775, 7531, 258, 299, 815, 5903, 320, 10797, 0, 5814, 4351, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2012, 815, 3403, 2891, 27447, 24662, 417, 356, 497, 12571, 491, 5602, 825, 1820, 28442, 994, 825, 3023, 815, 3403, 2891, 27447, 24662, 26233, 356, 10254, 360, 5602, 825, 1820, 263, 16303, 994, 825, 2085, 815, 3403, 2891, 27447, 24662, 23946, 368, 421, 378, 482, 5602, 825, 1820, 263, 720, 2020, 825, 1130, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 22047, 12255, 21211, 281, 8442, 2020, 825, 1820, 263, 1998, 1262, 263, 272, 270, 273, 11723, 825, 1130, 272, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 22047, 272, 268, 1911, 25426, 368, 12255, 21211, 281, 8442, 2020, 825, 1130, 273, 815, 4351, 27110, 263, 272, 267, 1911, 2020, 825, 952, 1130, 272, 283, 1998, 273, 912, 1038, 1820, 2891, 12916, 510, 27447, 29072, 256, 2580, 1998, 273, 994, 825, 8640, 1130, 272, 2525, 1998, 273, 912, 1038, 1820, 2891, 23946, 367, 31271, 478, 32405, 825, 3116, 10778, 1038, 1820, 2891, 12916, 510, 420, 369, 351, 29072, 256, 2580, 1130, 273, 264, 0, 258, 13127, 363, 376, 24662, 421, 504, 493, 10951, 374, 12255, 13200, 509, 29873, 17958, 28996, 7511, 25060, 483, 454, 5814, 4351, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 28859, 504, 493, 10951, 374, 10524, 492, 14756, 503, 27936, 420, 490, 481, 18713, 368, 31308, 375, 22047, 10533, 368, 12255, 454, 825, 1130, 815, 4351, 27110, 263, 272, 267, 1015, 994, 825, 1820, 263, 1998, 2020, 825, 1948, 10524, 492, 14756, 503, 27936, 31365, 28578, 18809, 20881, 487, 418, 489, 358, 22047, 12255, 454, 825, 4351, 26716, 4069, 263, 9792, 263, 274, 4917, 825, 1820, 2891, 1998, 815, 2715, 1998, 348, 2668, 8971, 263, 1998, 815, 1130, 11723, 825, 1948, 476, 12255, 29004, 362, 418, 374, 494, 454, 825, 544, 1598, 6889, 29582, 3698, 724, 6359, 9383, 19282, 4840, 825, 1948, 476, 4970, 368, 28793, 11858, 502, 417, 480, 357, 9463, 502, 19404, 493, 454, 825, 512, 1598, 284, 3269, 454, 825, 1948, 13127, 378, 359, 27064, 363, 274, 418, 361, 350, 8147, 25203, 372, 25051, 497, 30678, 26406, 356, 10254, 370, 23523, 359, 27064, 363, 418, 361, 350, 12255, 8147, 10524, 492, 12255, 29004, 362, 418, 374, 494, 18809, 9463, 500, 24731, 274, 14748, 21211, 31033, 454, 825, 585, 1775, 538, 2039, 263, 274, 2187, 1038, 1948, 17276, 363, 493, 418, 361, 350, 421, 504, 493, 10951, 374, 10524, 492, 12255, 29004, 362, 418, 374, 494, 18809, 9463, 500, 24731, 272, 14748, 21211, 31033, 454, 1038, 642, 284, 12690, 26716, 4069, 9852, 1598, 994, 1038, 1948, 29635, 10191, 20693, 510, 28996, 4970, 368, 28793, 9463, 502, 19404, 493, 18809, 454, 1038, 512, 1598, 23785, 341, 454, 825, 1948, 476, 27447, 24731, 12255, 29004, 362, 418, 374, 494, 18809, 421, 504, 493, 10951, 374, 9463, 500, 24731, 7511, 21211, 31033, 19867, 478, 418, 489, 376, 29873, 7511, 13161, 364, 7511, 21211, 31033, 4970, 366, 454, 825, 1820, 6025, 1598, 2020, 825, 1948, 476, 10524, 492, 271, 28996, 280, 421, 504, 493, 10951, 374, 11590, 356, 13200, 509, 22047, 10533, 368, 12255, 454, 825, 678, 1998, 815, 4351, 20120, 9792, 263, 271, 267, 1015, 267, 272, 2020, 825, 1820, 2891, 337, 1998, 815, 2715, 337, 1998, 348, 2668, 8971, 16868, 1998, 284, 337, 1998, 4917, 825, 1948, 19867, 497, 18263, 365, 18263, 355, 31365, 31176, 491, 454, 825, 544, 1598, 338, 284, 14277, 515, 515, 14824, 327, 2129, 334, 14824, 515, 328, 515, 328, 31116, 825, 1820, 2891, 321, 1030, 528, 346, 271, 348, 2668, 8971, 9852, 1598, 338, 4917, 825, 1820, 9852, 1598, 338, 2020, 825, 1948, 13127, 363, 373, 12255, 29004, 362, 418, 374, 494, 19867, 497, 18263, 365, 421, 350, 374, 31365, 418, 497, 491, 30853, 454, 825, 4351, 11075, 28984, 9852, 1598, 338, 994, 825, 1820, 2891, 12898, 346, 271, 348, 2668, 8971, 9852, 1598, 338, 4917, 825, 1820, 9852, 1598, 338, 2020, 825, 1775, 815, 4351, 27110, 280, 263, 272, 267, 1015, 994, 825, 1820, 263, 6943, 9217, 4917, 0, 258, 22614, 376, 500, 19540, 503, 23911, 31801, 489, 31365, 10254, 353, 13161, 511, 21211, 31033, 4970, 366, 15159, 12571, 355, 19404, 491, 14035, 491, 12486, 27818, 2004, 26166, 24724, 454, 258, 22614, 376, 500, 19540, 503, 23911, 31801, 489, 31365, 19867, 497, 22287, 364, 27447, 24731, 21211, 31033, 4970, 366, 18809, 19404, 491, 14035, 491, 7511, 19867, 478, 20069, 21211, 31033, 12486, 27818, 2004, 26166, 24724, 454, 258, 17276, 488, 488, 31284, 30837, 351, 7511, 330, 4289, 30853, 20992, 21211, 10429, 372, 7511, 421, 498, 362, 454, 258, 476, 12571, 490, 28793, 30853, 20992, 21211, 10429, 372, 7511, 29219, 454, 258, 17276, 488, 488, 31284, 30837, 351, 7511, 330, 4289, 30853, 20992, 21211, 10429, 372, 7511, 421, 498, 362, 454, 258, 13127, 373, 370, 14756, 509, 18777, 350, 30006, 493, 14748, 22287, 499, 13644, 491, 7511, 13644, 491, 30903, 495, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 737, 4289, 815, 1496, 454, 1038, 834, 16591, 834, 2437, 16591, 834, 2437, 13231, 344, 20350, 1038, 834, 1434, 834, 2437, 16591, 14824, 13231, 344, 834, 2676, 1038, 834, 16591, 834, 2437, 1434, 14824, 1353, 20350, 1038, 834, 1434, 834, 2437, 16591, 14824, 1353, 834, 2676, 1038, 834, 16591, 834, 2437, 16591, 834, 2437, 13231, 344, 20350, 1038, 834, 1554, 834, 2437, 1485, 14824, 909, 20350, 1038, 834, 1554, 834, 2437, 1485, 14824, 909, 20350, 1038, 834, 1554, 834, 2437, 1485, 14824, 909, 20350, 1038, 834, 1554, 834, 2437, 1485, 14824, 909, 20350, 1038, 834, 1554 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2878, 17345, 5149, 281, 19992, 7308, 4149, 322, 25333, 12267, 4373, 5970, 596, 2479, 9289, 827, 519, 4241, 2984, 3297, 707, 5172, 2835, 286, 5808, 941, 519, 4943, 725, 585, 519, 3197, 286, 1215, 1705, 519, 4589, 2097, 909, 609, 519, 4729, 23538, 543, 7140, 286, 901, 1576, 1770, 786, 1491, 596, 593, 513, 3460, 998, 930, 540, 519, 10578, 1394, 560, 1559, 540, 2442, 1762, 2937, 5708, 269, 1284, 3513, 2263, 875, 1483, 1004, 267, 4025, 267, 543, 2621, 666, 8300, 14070, 8941, 1247, 1565, 3407, 2542, 8223, 1983, 2059, 519, 1259, 2439, 1262, 8893, 2290, 281, 24531, 16992, 4373, 1103, 1169, 1650, 267, 972, 616, 2189, 543, 9159, 3197, 602, 7001, 938, 12271, 543, 8186, 269, 1809, 723, 596, 2808, 1141, 891, 6909, 2043, 22132, 286, 6884, 267, 789, 2721, 6667, 689, 4890, 1004, 7247, 4589, 2743, 610, 5873, 827, 1282, 741, 2729, 269, 1280, 3236, 267, 2015, 10609, 2967, 12603, 335, 267, 519, 16502, 538, 2608, 763, 5696, 728, 4530, 265, 676, 24796, 14208, 836, 269, 4014, 10609, 2967, 568, 513, 960, 540, 5708, 267, 2609, 540, 1010, 1915, 616, 6273, 676, 1483, 3734, 2833, 540, 1004, 2713, 609, 10295, 269, 1635, 1620, 713, 4276, 1063, 4641, 543, 5708, 267, 649, 2744, 4514, 5813, 883, 519, 18144, 543, 4664, 6117, 891, 5339, 5515, 780, 12244, 281, 6056, 540, 707, 5172, 1433, 1915, 543, 16540, 2009, 2959, 540, 6667, 585, 873, 1759, 593, 1483, 1004, 610, 3344, 540, 8103, 269, 3503, 1524, 1614, 10486, 1063, 519, 1915, 543, 2576, 596, 917, 610, 723, 4862, 540, 780, 1262, 8893, 5565, 281, 10289, 23994, 1299, 7464, 21509, 22627, 4373, 306, 9116, 902, 1404, 1898, 5107, 538, 5935, 13602, 543, 12018, 3197, 1369, 2984, 269, 10705, 267, 5830, 3490, 891, 5468, 593, 6753, 789, 3643, 267, 2661, 538, 267, 610, 1451, 827, 2429, 741, 2729, 269, 5994, 952, 6276, 589, 269, 12130, 1156, 518, 1185, 2760, 10272, 1585, 2694, 540, 519, 2136, 2276, 1354, 13167, 1010, 4583, 9089, 971, 607, 2608, 28495, 27812, 24682, 2608, 2704, 10939, 24682, 543, 2608, 290, 1127, 1901, 820, 29688, 1261, 949, 711, 723, 1044, 2111, 547, 1711, 12667, 2592, 540, 1346, 4525, 267, 3850, 3988, 547, 1995, 2067, 5898, 543, 3140, 4644, 7258, 519, 6386, 780, 12244, 281, 7994, 835, 540, 12130, 1156, 518, 781, 9089, 5018, 4505, 543, 1382, 922, 4259, 2228, 269, 8073, 513, 2110, 6881, 15386, 693, 2547, 2947, 4277, 5013, 827, 519, 4087, 267, 10771, 1946, 621, 1131, 1118, 606, 5140, 4282, 585, 513, 3209, 780, 1262, 8893, 8422, 281, 1133, 792, 2251, 6936, 15638, 6184, 25378, 11470, 4373, 5278, 4589, 946, 3020, 2621, 607, 4358, 2798, 585, 741, 3860, 1568, 269, 1358, 1287, 1628, 2390, 891, 20825, 547, 4020, 8903, 6386, 4904, 609, 12416, 543, 7553, 269, 2755, 3695, 2608, 763, 5696, 728, 4530, 24682, 649, 4362, 875, 2278, 24796, 14208, 836, 16668, 2390, 2123, 2833, 543, 1483, 8996, 6589, 540, 10295, 547, 3337, 10609, 2967, 781, 1915, 269, 6684, 267, 1082, 824, 10643, 10210, 4798, 610, 3871, 689, 1686, 547, 1039, 3178, 543, 13597, 547, 741, 3817, 780, 12244, 281, 8564, 513, 3140, 2680, 602, 4690, 596, 543, 2328, 513, 5618, 7291, 630, 821, 2985, 264, 31935, 1018, 2186, 540, 1650, 1223, 6565, 689, 602, 4090, 538, 942, 269, 6333, 2870, 14070, 3197, 945, 2170, 609, 519, 2680, 610, 1747, 2933, 538, 519, 22984, 540, 519, 2962, 780, 3528, 18167, 883, 891, 834, 2041, 16442, 7308, 27214, 25333, 257, 2984, 267, 649, 1020, 6793, 4296, 547, 3332, 543, 1732, 5660, 519, 26274, 3238, 538, 13167, 9159, 8941, 269, 1306, 649, 1224, 267, 1577, 721, 3136, 6998, 6000, 281, 1548, 1483, 3734, 7506, 8032, 713, 2239, 286, 3414, 3408, 543, 7279, 267, 649, 1831, 811, 15826, 6800, 540, 1312, 5708, 543, 15923, 7567, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4029, 5239, 476, 1708, 274, 454, 1607, 568, 513, 28094, 540, 782, 519, 2470, 543, 3662, 11271, 689, 12130, 1156, 518, 781, 30832, 1782, 9089, 899, 2578, 27812, 267, 14522, 267, 27991, 1901, 651, 267, 543, 811, 269, 594, 4312, 1044, 16462, 621, 585, 6502, 543, 6368, 1336, 621, 538, 513, 1031, 1433, 4558, 269, 1452, 9696, 616, 2141, 840, 331, 26360, 547, 519, 1480, 5559, 553, 540, 1010, 2835, 543, 594, 1413, 4464, 547, 873, 269, 2368, 540, 1010, 1034, 12300, 3197, 616, 681, 18860, 748, 519, 536, 2581, 543, 519, 1079, 12721, 1216, 5243, 538, 27991, 1901, 820, 563, 763, 5696, 728, 4530, 267, 24796, 14208, 836, 454, 291, 600, 333, 267, 713, 1433, 1500, 803, 3956, 563, 298, 327, 2967, 12603, 335, 568, 26144, 267, 855, 782, 646, 12034, 568, 602, 646, 814, 1100, 4606, 269, 1879, 1010, 5172, 23013, 29871, 10523, 267, 646, 3085, 1405, 3956, 267, 865, 646, 7959, 646, 568, 4652, 527, 585, 513, 834, 10585, 257, 1272, 602, 2882, 9991, 538, 2648, 543, 3478, 9310, 269, 3571, 30223, 3993, 12599, 547, 10476, 547, 1265, 513, 4807, 1352, 7959, 1522, 1689, 1010, 2247, 269, 2701, 7024, 609, 631, 12782, 373, 1765, 852, 1634, 607, 10507, 1889, 2558, 534, 12544, 1762, 4807, 945, 18274, 8602, 7741, 547, 1489, 9887, 267, 1200, 3993, 267, 543, 1200, 5728, 1126, 269, 10507, 1889, 786, 2119, 547, 530, 5622, 10609, 2967, 267, 543, 1010, 3993, 786, 2628, 585, 1200, 4832, 538, 519, 1133, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 6826, 16442, 7308, 4149, 322, 25333, 12267, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 30765, 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, 21145, 2359, 568, 513, 7580, 1935, 547, 27147, 602, 6212, 593, 5883, 1808, 6688, 540, 6108, 267, 971, 607, 6151, 2326, 267, 2533, 267, 610, 8737, 5370, 267, 607, 3982, 1870, 4559, 269, 634, 3804, 540, 7121, 2359, 568, 547, 11126, 3790, 267, 2087, 18261, 3347, 267, 2569, 1981, 267, 543, 3986, 2949, 1871, 6765, 2066, 519, 3919, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 3741, 543, 1655, 2853, 540, 7121, 2359, 1369, 519, 2796, 540, 11449, 543, 9140, 780, 4263, 922, 4295, 267, 7121, 2359, 3322, 10126, 532, 606, 3919, 781, 7836, 883, 15768, 6688, 1759, 593, 1455, 4162, 267, 971, 607, 1587, 1826, 267, 2344, 6384, 267, 610, 3761, 5832, 6988, 269, 1635, 23454, 16306, 1927, 267, 3906, 666, 1732, 1174, 741, 7836, 3270, 267, 2697, 3255, 585, 1942, 9806, 267, 543, 20928, 27147, 3157, 269, 901, 1935, 2636, 4213, 547, 1445, 2200, 1141, 789, 616, 1034, 2877, 267, 1247, 849, 4180, 602, 14273, 2743, 2298, 267, 6940, 267, 543, 5647, 4170, 780, 3080, 1883, 2460, 540, 7121, 2359, 568, 3384, 513, 2620, 1620, 540, 519, 2344, 6384, 1369, 1142, 7121, 269, 901, 2882, 7421, 2188, 971, 607, 14499, 3466, 267, 8013, 5251, 267, 9431, 1604, 267, 6639, 7760, 267, 543, 23786, 4220, 269, 20331, 609, 713, 1702, 267, 27147, 4648, 666, 1118, 811, 5483, 3664, 827, 27126, 2994, 267, 18261, 5542, 267, 4579, 19908, 267, 543, 1981, 17846, 269, 1280, 1383, 267, 952, 513, 2754, 13333, 538, 519, 1426, 2872, 267, 621, 949, 581, 1898, 547, 6895, 20161, 5777, 543, 4365, 2175, 547, 18783, 1761, 21463, 538, 519, 3761, 5832, 543, 4188, 27126, 2994, 9935, 780, 5194, 2565, 5057, 540, 7121, 2359, 568, 2679, 2178, 18261, 3347, 269, 4675, 11502, 1404, 513, 4105, 1909, 538, 12419, 2472, 543, 2533, 602, 2743, 6075, 2115, 267, 5397, 5647, 267, 543, 1489, 1279, 3856, 2208, 269, 1677, 11694, 891, 2640, 267, 7121, 9946, 1590, 4497, 609, 14273, 30082, 267, 5968, 6788, 5693, 267, 543, 12840, 5702, 2429, 519, 2078, 269, 901, 5698, 1522, 4125, 4687, 1344, 827, 3747, 23004, 267, 2504, 16131, 267, 610, 1007, 1587, 1646, 4566, 267, 799, 6087, 1312, 6105, 547, 5447, 3853, 267, 2671, 4220, 267, 543, 1711, 8994, 1871, 780, 19931, 2792, 568, 3226, 1271, 950, 27410, 11731, 543, 11650, 269, 1879, 10024, 16395, 267, 7121, 9946, 1058, 3715, 2312, 6859, 267, 5581, 1967, 14573, 267, 543, 24808, 741, 1871, 20790, 269, 1358, 1058, 849, 581, 5423, 547, 1865, 2152, 971, 607, 3902, 267, 4320, 19647, 267, 1291, 2053, 267, 8569, 2474, 267, 543, 2773, 18715, 269, 10801, 519, 1184, 267, 7121, 9946, 1058, 2226, 1930, 3515, 540, 2792, 267, 6432, 8362, 267, 543, 3343, 3094, 2914, 514, 3435, 602, 4324, 1312, 6105, 780, 1103, 1840, 547, 5807, 2318, 18261, 3347, 267, 7121, 9946, 1590, 849, 2232, 1585, 4220, 2404, 609, 27147, 2238, 269, 1452, 4220, 666, 2039, 689, 10512, 4145, 267, 971, 607, 3761, 5832, 21463, 610, 2298, 12889, 267, 547, 2883, 6937, 899, 12611, 267, 13313, 267, 610, 1875, 1260, 20869, 609, 6042, 269, 1677, 4383, 891, 4220, 3927, 267, 7121, 9946, 1058, 2936, 7347, 10350, 3889, 267, 2932, 2834, 1981, 10526, 267, 543, 3715, 3617, 8060, 269, 1280, 3236, 267, 7598, 513, 1614, 17574, 6474, 1062, 1063, 6718, 9753, 267, 1045, 7860, 267, 543, 8391, 5359, 666, 948, 3713, 543, 2061, 6959, 610, 27753, 538, 8852, 267, 7551, 4227, 519, 1981, 540, 2883, 3765, 8063, 906, 780, 7661, 267, 7121, 9946, 1058, 11179, 6218, 543, 13217, 741, 2994, 547, 2327, 5571, 12972, 609, 10721, 14422, 543, 4657, 2344, 2175, 269, 901, 27952, 1184, 1419, 3322, 5464, 2773, 1996, 30966, 918, 303, 3674, 267, 11018, 5955, 689, 8639, 267, 543, 7114, 2127, 585, 6454, 269, 9122, 593, 713, 2079, 267, 7121, 9946, 949, 991, 547, 556, 10864, 582, 5573, 11731, 267, 6467, 14273, 267, 610, 9772, 1007, 4066, 547, 3251, 6619, 540, 519, 6735, 543, 5838, 5021, 1871, 547, 519, 3919, 780, 2414, 9414, 519, 1379, 540, 7121, 2359, 267, 2015, 519, 2013, 540, 513, 29505, 10685, 518, 5275, 547, 11126, 922, 1269, 272, 5479, 5993, 6108, 593, 4357, 6003, 813, 28328, 269, 1635, 12561, 513, 7121, 2359, 1935, 267, 519, 10685, 518, 729, 2111, 547, 3035, 1713, 9283, 538, 1896, 1883, 2127, 1384, 265, 8779, 14205, 902, 281, 3414, 11826, 2344, 1382, 267, 18261, 6268, 267, 543, 19908, 267, 519, 10685, 518, 7691, 19469, 1942, 20214, 540, 5111, 476, 278, 260, 936, 1079, 1296, 267, 1226, 908, 547, 1269, 3583, 2929, 538, 31278, 7443, 563, 265, 10866, 26094, 281, 1635, 2324, 5702, 609, 1283, 12656, 14127, 14273, 267, 519, 10685, 518, 24458, 5812, 15984, 547, 7453, 2298, 4441, 267, 4611, 538, 7864, 7024, 543, 2362, 2157, 540, 6075, 9547, 563, 265, 16743, 281, 11622, 908, 609, 1374, 6887, 543, 9755, 267, 519, 10685, 518, 5189, 1007, 6163, 267, 17234, 267, 543, 26088, 602, 6949, 730, 609, 5561, 267, 6117, 6455, 2208, 543, 14304, 6216, 14017, 563, 265, 11485, 14600, 12720, 281, 20074, 7347, 1813, 31806, 5773, 267, 519, 10685, 518, 4389, 519, 11841, 540, 5683, 19374, 267, 4074, 28407, 267, 543, 2825, 3441, 1851, 922, 18261, 3490, 267, 7393, 922, 10639, 543, 10893, 8088, 1049, 1981, 780, 1103, 3932, 267, 7121, 2359, 3091, 513, 3532, 5943, 585, 11449, 543, 9140, 4648, 3168, 547, 11126, 3790, 267, 1628, 6793, 18261, 3347, 267, 11574, 4220, 267, 543, 5397, 6024, 6454, 1369, 741, 3906, 269, 1635, 7311, 519, 3741, 543, 1655, 2853, 13890, 538, 713, 3184, 267, 596, 666, 10244, 519, 2407, 1761, 540, 7121, 2359, 543, 3565, 25006, 547, 707, 3919, 781, 1967, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 590, 6020, 29135, 25605, 589, 11070, 296, 16249, 11553, 3722, 2316, 4753, 29865, 30121, 910, 11404, 16444, 20092, 454, 272, 590, 6020, 29135, 25605, 589, 11070, 296, 16249, 11553, 3722, 2316, 4753, 29865, 30121, 476, 1911, 277, 589, 11070, 3951, 306, 5508, 5990, 674, 2562, 3198, 18426, 29865, 4932, 19006, 5508, 645, 3198, 16775, 630, 1607, 15048, 568, 2500, 585, 782, 519, 32116, 862, 9760, 593, 610, 1310, 476, 4905, 4989, 476, 1001, 271, 264, 28132, 19006, 24225, 4985, 18927, 18927, 9982, 2807, 476, 18927, 9982, 5541, 32465, 476, 272, 268, 279, 10748, 527, 20505, 476, 18927, 5541, 2807, 1862, 476, 18927, 18927, 9982, 5541, 907, 476, 280, 268, 1556, 13531, 532 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6281, 1153, 1063, 476, 3422, 280, 543, 476, 3192, 277, 11943, 602, 519, 21195, 891, 1053, 4553, 693, 1153, 20039, 585, 476, 2537, 268, 3066, 260, 540, 519, 5413, 2404, 609, 2348, 513, 2385, 689, 513, 1283, 1514, 1362, 610, 513, 3810, 13473, 2385, 269, 634, 1353, 1336, 602, 713, 2318, 1198, 30174, 547, 2085, 476, 5655, 563, 1432, 1281, 713, 1611, 585, 3506, 286, 17616, 267, 6437, 1374, 543, 8247, 616, 1360, 1454, 593, 519, 3084, 16786, 269, 2311, 519, 20831, 18966, 15557, 10985, 713, 5147, 267, 32518, 5746, 2549, 7701, 1975, 1408, 2006, 6700, 972, 568, 1454, 960, 547, 798, 593, 519, 3095, 1063, 513, 4101, 6437, 543, 1514, 10688, 269, 1306, 649, 11677, 811, 1702, 649, 616, 1732, 2111, 547, 1294, 3270, 267, 649, 1831, 1732, 1966, 1606, 565, 951, 267, 543, 649, 1020, 4514, 4030, 827, 519, 1158, 1472, 721, 563, 23220, 7627, 1514, 10688, 814, 1279, 1044, 634, 20831, 18966, 779, 5692, 269, 634, 19784, 17638, 808, 20831, 1767, 519, 3483, 540, 2069, 568, 547, 2048, 339, 1248, 19141, 883, 9486, 10200, 3776, 1762, 1004, 666, 1932, 3362, 1831, 16290, 676, 741, 7525, 2796, 267, 607, 9909, 3100, 1932, 2484, 689, 741, 4641, 269, 898, 568, 938, 2816, 547, 948, 873, 1294, 789, 616, 5827, 540, 811, 982, 789, 723, 5892, 2219, 2009, 563, 5978, 1762, 1004, 666, 1932, 3362, 1831, 16290, 676, 741, 7525, 2796, 282, 938, 2816, 568, 547, 948, 873, 1294, 789, 616, 5827, 540, 811, 982, 789, 723, 5892, 2219, 2009, 454, 4263, 20831, 9142, 3162, 7439, 6229, 649, 616, 7683, 17265, 519, 6437, 649, 2709, 547, 2327, 1100, 4316, 568, 17792, 547, 938, 1053, 269, 2986, 1576, 267, 519, 6437, 814, 547, 581, 20083, 547, 519, 1367, 267, 855, 938, 13654, 6240, 814, 547, 581, 602, 938, 6788, 585, 1053, 616, 711, 22485, 8806, 1317, 540, 19319, 610, 12145, 4978, 827, 1018, 568, 2009, 269, 1924, 267, 585, 1383, 912, 1892, 1284, 1631, 723, 476, 22430, 1053, 538, 1296, 476, 278, 543, 476, 279, 4974, 13495, 18288, 563, 1892, 1284, 616, 5356, 27825, 23918, 267, 609, 606, 2832, 540, 10128, 713, 883, 938, 6437, 4628, 676, 5181, 476, 1001, 279, 563, 1892, 2353, 1053, 538, 1296, 476, 278, 547, 476, 280, 693, 670, 3008, 301, 849, 1353, 4984, 543, 6138, 267, 2502, 609, 6436, 971, 607, 3351, 23540, 543, 15806, 899, 28564, 5069, 543, 7085, 563, 22949, 1569, 547, 1164, 9740, 568, 5391, 518, 908, 563, 295, 1551, 529, 31689, 267, 513, 1007, 30028, 1305, 909, 547, 948, 1053, 689, 2127, 540, 8739, 20300, 22975, 1205, 547, 1283, 9945, 267, 6257, 4974, 27825, 607, 2048, 641, 2287, 519, 7450, 547, 513, 1158, 540, 2528, 543, 3332, 6580, 689, 519, 8129, 540, 5375, 3332, 998, 547, 519, 30732, 7410, 540, 519, 476, 1704, 628, 2540, 269, 24356, 5824, 543, 5924, 5259, 786, 849, 948, 596, 2744, 513, 11826, 1620, 540, 519, 3889, 540, 8239, 267, 543, 519, 2702, 547, 4612, 2854, 5931, 538, 513, 6213, 267, 2312, 543, 13857, 1259, 19028, 763, 6437, 693, 670, 3008, 301, 814, 2185, 1883, 22204, 269, 13595, 3401, 1020, 741, 21195, 1369, 713, 2241, 5943, 912, 272, 264, 7043, 3856, 1565, 936, 2110, 3856, 2773, 630, 20880, 796, 331, 4169, 1983, 1916, 273, 264, 4400, 4161, 3056, 547, 1514, 10688, 630, 32474, 543, 6863, 11601, 1377, 519, 4730, 2361, 1916, 274, 264, 634, 1480, 609, 519, 1641, 630, 322, 11661, 1434, 5640, 543, 4961, 1916, 275, 264, 9861, 960, 4712, 630, 10843, 2686, 3854, 543, 6402, 609, 519, 2324, 1158, 1916, 22137, 593, 6863, 11601, 723, 7000, 519, 575, 5285, 602, 10741, 909, 676, 2085, 8370, 1063, 519, 4938, 629, 983, 625, 540, 1762, 1004, 689, 27797, 10080, 3379, 547, 741, 3462, 3042, 9905, 282, 18843, 476, 273, 9607, 713, 6863, 7934, 2047, 563, 2171, 723, 6836, 547, 2327, 1164, 6788, 616, 519, 4295, 6240, 585, 938, 3610, 865, 938, 1053, 1810, 1406, 7985, 2048, 1492, 6710, 540, 1970, 6788, 16224, 543, 519, 829, 5371, 1190, 4539, 602, 2097, 609, 713, 563, 8310, 5181, 649, 4956, 649, 941, 711, 3257, 2614, 960, 593, 519, 3791, 18843, 269, 1924, 267, 609, 938, 2875, 3401, 267, 649, 2813, 513, 5075, 540, 519, 2146, 649, 4941, 547, 581, 269, 1358, 3357, 909, 609, 519, 1913, 2630, 547, 948, 721, 1628, 519, 1826, 540, 7180, 649, 4941, 547, 1294, 912, 306, 3273, 1513, 281, 5676, 1441, 543, 14388, 454, 290, 527, 714, 839, 281, 11587, 543, 3028, 454, 288, 3387, 817, 611, 832, 281, 11348, 543, 14696, 563, 5472, 540, 713, 20555, 883, 18843, 2185, 267, 543, 938, 8942, 547, 2327, 1053, 616, 5483, 267, 543, 4712, 585, 1018, 789, 6430, 547, 798, 950, 789, 4734, 721, 269, 1284, 4076, 2799, 1053, 685, 4598, 547, 1164, 2266, 951, 689, 519, 1158, 3544, 519, 19235, 282, 713, 1032, 789, 723, 1558, 519, 3703, 5605, 817, 611, 832, 547, 1312, 3624, 543, 519, 2475, 563, 763, 6437, 568, 835, 540, 519, 1883, 682, 951, 267, 5310, 519, 1883, 11573, 267, 649, 723, 547, 2087, 519, 1272, 8458, 540, 519, 1762, 1004, 538, 938, 1416, 269, 10765, 2621, 971, 607, 519, 717, 1066, 325, 749, 18975, 13357, 723, 2016, 3506, 513, 5587, 542, 1289, 547, 2322, 1514, 10688, 693, 519, 21282, 540, 938, 4058, 282, 1577, 779, 2626, 602, 1289, 563, 295, 1551, 529, 9142, 3162, 7439, 6229, 2535, 919, 538, 519, 9399, 2969, 3060, 1107, 1265, 856, 811, 827, 3478, 3238, 269, 0, 306, 14954, 880, 18048, 267, 3092, 615, 543, 9380, 528, 269, 1261, 729, 4547, 909, 676, 1010, 22594, 693, 5651, 320, 269, 1306, 646, 10268, 513, 3348, 665, 1190, 13007, 585, 5373, 646, 729, 15861, 547, 519, 4549, 2218, 1362, 540, 519, 918, 2426, 5554, 320, 13019, 611, 655, 328, 585, 632, 674, 6319, 23951, 560, 1716, 320, 267, 14351, 27048, 267, 693, 519, 2085, 540, 476, 1428, 269, 19837, 15384, 30829, 609, 519, 22573, 3450, 543, 9015, 540, 519, 9142, 543, 9415, 676, 1010, 2038, 1967, 607, 513, 18048, 540, 1216, 3712, 712, 23609, 543, 9135, 10207, 630, 324, 3052, 269, 6196, 19716, 689, 5651, 320, 267, 476, 6942, 280, 282, 5651, 320, 267, 2098, 1941, 16443, 4700, 2098, 1941, 2451, 519, 9142, 538, 476, 6642, 272, 547, 2119, 547, 3715, 606, 3486, 4876, 269, 1261, 2663, 759, 3660, 5631, 538, 5507, 855, 849, 24964, 14916, 538, 7977, 267, 5333, 267, 8050, 267, 27988, 807, 543, 519, 26811, 753, 543, 10272, 31862, 269, 1717, 267, 646, 4797, 547, 6108, 1034, 540, 1010, 28782, 538, 13785, 269, 13565, 24484, 902, 540, 1656, 619, 2098, 1941, 2433, 269, 1923, 1133, 3104, 960, 476, 1704, 1923, 1133, 3104, 960, 476, 280, 1923, 966, 1023, 523, 1923, 795, 698, 1775, 887, 6767, 737, 739, 2096, 523, 1923, 1133, 3104, 960, 476, 13199, 11406, 16665, 20551, 281, 288, 1652, 1470, 25930, 990, 6839, 16210, 454, 14503, 648, 1338, 1309, 476, 16318, 276, 268, 14983, 280, 306, 597, 3798, 7773, 8092, 572, 518, 454, 306, 597, 3798, 7773, 8092, 572, 518, 11829, 7685, 454, 27455, 572, 518, 729, 1945, 540, 513, 1126, 605, 21745, 344, 4171, 7499, 15421, 941, 6444, 2038, 593, 282, 646, 6594, 896, 1896, 5159, 267, 1519, 1010, 4651, 3627, 8092, 572, 518, 267, 606, 23678, 591, 267, 543, 18148, 7917, 15917, 18484, 267, 519, 1134, 8153, 543, 11786, 1686, 18048, 945, 9415, 519, 1762, 8092, 572, 518, 547, 1685, 771, 21827, 538, 1931, 547, 4628, 1174, 3662, 25946, 1155, 543, 20258, 2497, 563, 4263, 519, 2085, 540, 1175, 476, 1724, 267, 538, 476, 8687, 276, 267, 8092, 572, 518, 17820, 1568, 693, 519, 9576, 9142, 269, 1261, 729, 11221, 606, 21133, 540, 519, 9576, 9142, 693, 519, 2085, 540, 476, 2190, 267, 543, 606, 14288, 1014, 540, 519, 9576, 9142, 2947, 1296, 2663, 538, 476, 8146, 272, 269, 1261, 729, 27585, 539, 538, 476, 6977, 271, 267, 543, 4352, 11221, 5518, 540, 519, 9576, 9142, 538, 476, 5908, 277, 646, 17379, 519, 27592, 563, 27455, 572, 518, 729, 513, 8037, 4137, 538, 476, 866, 628, 2540, 3703, 1148, 267, 543, 1010, 1568, 666, 581, 1336, 538, 570, 622, 6628, 267, 519, 15117, 543, 15751, 7467, 267, 8230, 6229, 5600, 543, 519, 28615, 14635, 538, 5507, 269, 1261, 849, 32524, 609, 8284, 18048, 19291, 9400, 10557, 563, 20360, 7717, 16836, 538, 7073, 8648, 630, 7277, 272, 268, 7277, 276, 994, 20075, 523, 15117, 543, 1200, 1920, 693, 6489, 7717, 16836, 11482, 663, 572, 518, 781, 8560, 538, 16972, 6628, 729, 9645, 269, 1261, 729, 4922, 9833, 607, 835, 540, 519, 19466, 3662, 26719, 540, 1010, 942, 267, 543, 10063, 2388, 540, 1010, 1568, 941, 4122, 1336, 538, 1647, 11665, 5321, 269, 8616, 1010, 9029, 18084, 1362, 6302, 267, 585, 8092, 572, 518, 729, 3833, 2442, 609, 519, 3703, 18211, 7100, 607, 1134, 267, 1519, 10348, 15117, 267, 945, 20827, 3875, 23609, 540, 1200, 1920, 630, 663, 10130, 264, 689, 519, 7376, 269, 8092, 572, 518, 729, 3226, 2404, 609, 10430, 543, 519, 13677, 4400, 4133, 267, 799, 3177, 519, 5396, 630, 18485, 1480, 543, 3662, 264, 585, 1082, 540, 1010, 1271, 10367, 267, 1519, 1010, 2038, 18454, 634, 15391, 532, 540, 4258, 11803, 932, 848, 630, 9264, 276, 268, 9264, 277, 264, 543, 1323, 7629, 7228, 1733, 529, 4486, 12846, 538, 519, 4400, 4133, 630, 9264, 277, 268, 9264, 280, 1070, 543, 1010, 811, 9921, 10781, 971, 607, 519, 23836, 588, 698, 1353, 3933, 1105, 540, 519, 3794, 523, 630, 6977, 272, 264, 543, 681, 550, 4303, 538, 519, 8187, 15227, 630, 6977, 276, 268, 5908, 279, 1916, 27455, 572, 518, 781, 10367, 540, 5243, 941, 3810, 2442, 1851, 782, 5049, 540, 2486, 2529, 334, 2442, 543, 9565, 941, 8092, 572, 518, 781, 10367, 540, 5243, 538, 519, 3028, 540, 8103, 602, 519, 2012, 8092, 572, 518, 3357, 547, 581, 519, 4013, 2012, 585, 519, 3099, 540, 1715, 11398, 1633, 2915, 602, 267, 2864, 982, 1373, 3109, 610, 6140, 3109, 267, 2934, 513, 3575, 540, 1312, 3109, 543, 3043, 282, 621, 729, 713, 3099, 8092, 572, 518, 2442, 1242, 538, 1010, 10367, 14120, 1715, 11398, 4133, 607, 1216, 15063, 5243, 267, 1034, 16113, 5510, 547, 519, 1763, 26443, 630, 9264, 278, 1070, 589, 31692, 1639, 16588, 540, 519, 9966, 2033, 5980, 630, 8146, 279, 1070, 543, 590, 8491, 630, 6977, 277, 1070, 799, 10905, 16972, 25481, 540, 6689, 609, 519, 13267, 2856, 540, 15626, 2831, 13991, 547, 30768, 7790, 286, 513, 20174, 8612, 267, 538, 590, 8491, 267, 676, 519, 1249, 519, 2915, 814, 11324, 4240, 519, 1126, 1510, 1022, 7805, 1480, 4287, 610, 6304, 563, 1103, 1010, 3735, 476, 1789, 338, 8092, 572, 518, 11124, 1018, 568, 1631, 5156, 547, 581, 513, 8101, 8401, 15059, 267, 543, 585, 519, 1964, 540, 1010, 1272, 729, 30223, 676, 18596, 536, 8083, 540, 14264, 3273, 344, 267, 3834, 577, 1180, 6319, 267, 543, 4965, 267, 1419, 24395, 730, 676, 4568, 543, 3075, 946, 630, 302, 3944, 1180, 267, 3933, 1105, 476, 10219, 1040, 769, 519, 2063, 1906, 1296, 540, 1010, 1272, 8092, 572, 518, 781, 2790, 6617, 729, 16609, 267, 543, 693, 519, 7662, 540, 1010, 1920, 646, 729, 10294, 1202, 2033, 538, 5147, 476, 6942, 273, 563, 27455, 572, 518, 781, 2669, 593, 476, 272, 5239, 476, 6942, 274, 729, 4922, 6825, 538, 4789, 281, 15945, 543, 8075, 22485, 741, 9420, 338, 267, 17514, 24363, 693, 3368, 3613, 3530, 267, 1010, 19730, 21495, 693, 519, 3490, 540, 20307, 781, 6241, 941, 8288, 609, 530, 805, 26387, 267, 543, 1804, 24921, 20898, 519, 10754, 547, 4585, 1010, 24133, 9729, 324, 613, 1780, 630, 302, 3944, 1180, 267, 3933, 1105, 476, 13670, 1040, 8092, 572, 518, 729, 12617, 538, 853, 6754, 781, 24130, 267, 5507, 1547, 293, 344, 31121, 681, 758, 582, 990, 454, 263, 15876, 277, 910, 476, 5197, 280, 264, 729, 513, 13747, 6739, 18048, 945, 7463, 538, 23609, 563, 293, 344, 31121, 681, 758, 582, 990, 729, 4535, 883, 513, 1920, 540, 32066, 1583, 12028, 267, 10362, 547, 519, 3115, 333, 1231, 269, 13518, 538, 1010, 12092, 568, 21372, 269, 1261, 6594, 1148, 538, 12142, 22642, 7921, 9142, 540, 8551, 269, 2991, 9140, 1394, 1010, 5191, 538, 519, 1439, 540, 476, 11260, 271, 338, 646, 2968, 3964, 607, 513, 6752, 762, 18048, 563, 1103, 476, 12293, 276, 267, 681, 758, 582, 990, 729, 11221, 606, 14288, 1014, 267, 855, 646, 1705, 711, 960, 607, 513, 7548, 538, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 1015, 21636, 264, 12153, 519, 2504, 540, 1439, 18100, 17414, 6950, 269, 1452, 616, 1928, 330, 3739, 10399, 602, 1628, 909, 547, 14867, 1928, 269, 1717, 267, 621, 949, 1491, 827, 476, 2412, 3764, 1354, 621, 3217, 1198, 269, 901, 1826, 540, 14242, 17015, 5312, 1928, 1317, 519, 2360, 2063, 3108, 1310, 519, 8400, 269, 5015, 267, 1004, 949, 946, 621, 909, 547, 2185, 2053, 3232, 547, 13468, 741, 31191, 563, 19119, 540, 4635, 519, 27620, 454, 2467, 616, 1082, 2640, 547, 1210, 570, 27602, 6191, 269, 3371, 616, 930, 540, 873, 912, 268, 570, 27602, 568, 513, 1928, 2359, 1505, 602, 6971, 610, 30283, 519, 6981, 540, 1928, 6527, 269, 901, 2337, 1004, 2057, 13027, 6547, 543, 8801, 2360, 899, 15353, 543, 29463, 563, 268, 4400, 23151, 14242, 814, 513, 18552, 6438, 1198, 602, 6001, 525, 4887, 8082, 543, 10607, 1973, 10009, 563, 268, 570, 27602, 3797, 568, 3075, 6954, 543, 1281, 711, 2014, 8213, 563, 268, 8617, 946, 540, 570, 27602, 949, 2569, 519, 8515, 540, 1928, 936, 942, 563, 268, 7736, 6973, 1231, 2569, 6553, 543, 2087, 30181, 269, 901, 666, 948, 2087, 1560, 10688, 563, 268, 570, 27602, 568, 14911, 547, 1082, 2126, 4566, 1813, 547, 922, 1875, 29554, 2470, 563, 1692, 1677, 2422, 513, 570, 27602, 17240, 572, 7136, 4526, 454, 8794, 513, 570, 27602, 13942, 2527, 4526, 568, 513, 3551, 1184, 269, 3509, 1004, 946, 873, 693, 1753, 1510, 2564, 15569, 585, 10375, 1928, 8323, 269, 3550, 519, 1770, 568, 538, 1434, 2783, 543, 519, 9075, 723, 2614, 1379, 585, 519, 8400, 1354, 4358, 519, 3684, 269, 15706, 1058, 849, 2973, 741, 2960, 609, 12853, 543, 1216, 547, 4894, 4430, 11041, 563, 10190, 267, 789, 949, 1747, 519, 19650, 21181, 2282, 610, 593, 519, 1928, 1858, 269, 4658, 949, 946, 909, 547, 5216, 22809, 609, 930, 570, 27602, 4559, 269, 1717, 267, 789, 1058, 2327, 519, 21181, 616, 693, 2547, 835, 10759, 6306, 547, 2061, 13779, 269, 4495, 519, 23287, 22809, 616, 5116, 267, 519, 3593, 949, 6467, 519, 3684, 593, 269, 18786, 593, 519, 9803, 4259, 568, 1655, 547, 2057, 8710, 610, 9636, 269, 2991, 602, 267, 789, 949, 7930, 2333, 519, 5468, 547, 741, 9053, 1377, 563, 23744, 267, 570, 27602, 7886, 2063, 1063, 476, 736, 547, 476, 2568, 3764, 269, 901, 949, 4096, 593, 519, 2783, 543, 519, 5468, 1031, 269, 1879, 519, 942, 1714, 22663, 267, 519, 3593, 666, 2490, 1055, 519, 3684, 269, 3973, 267, 789, 1058, 5402, 4894, 519, 19650, 15649, 269, 27814, 267, 789, 1058, 2973, 519, 14398, 1161, 1354, 11093, 873, 538, 4859, 563, 21104, 725, 540, 519, 27620, 454, 307, 27602, 3797, 2337, 14867, 1928, 3361, 676, 8650, 543, 5312, 2175, 269, 898, 2337, 1346, 609, 4017, 668, 9234, 22468, 267, 606, 17966, 618, 602, 3123, 7839, 30273, 1928, 269, 3958, 267, 621, 2337, 609, 12263, 610, 4745, 1928, 689, 519, 6553, 540, 835, 610, 811, 10549, 269, 898, 849, 2337, 609, 31264, 543, 3987, 5829, 29302, 563, 13010, 267, 621, 2337, 9845, 9156, 689, 5026, 7063, 5488, 269, 898, 568, 849, 2500, 585, 1974, 1928, 689, 18492, 25574, 602, 1082, 2021, 1745, 693, 519, 1376, 540, 741, 4783, 269, 3958, 267, 621, 10970, 28179, 6727, 543, 8325, 31191, 689, 1560, 2694, 269, 901, 2882, 8405, 267, 12597, 267, 2539, 1394, 267, 543, 3723, 1928, 563, 32552, 13832, 585, 513, 570, 27602, 17240, 572, 7136, 4526, 454, 8256, 738, 532, 513, 2564, 19995, 568, 4998, 1354, 1210, 513, 570, 27602, 13942, 2527, 4526, 269, 1358, 666, 2708, 952, 570, 27602, 3797, 17015, 519, 1072, 2783, 540, 519, 1367, 269, 901, 568, 1317, 930, 2175, 11874, 2746, 547, 5122, 14242, 269, 3958, 267, 789, 949, 18973, 1004, 593, 8653, 267, 2834, 640, 267, 543, 5468, 547, 946, 563, 13010, 267, 1004, 1058, 1224, 519, 5528, 3177, 676, 519, 3926, 10672, 269, 901, 786, 948, 873, 1174, 875, 547, 946, 741, 3926, 543, 2057, 29840, 532, 610, 8801, 2360, 269, 769, 1840, 267, 621, 949, 3391, 873, 827, 1697, 19650, 13307, 269, 901, 568, 2629, 585, 519, 2500, 6765, 540, 5122, 14768, 269, 5047, 267, 789, 1058, 2057, 6213, 2127, 971, 607, 519, 4064, 267, 11563, 267, 9221, 267, 11983, 10260, 267, 543, 1283, 540, 519, 2212, 563, 1103, 1840, 267, 2043, 1058, 711, 1747, 19650, 15649, 593, 8886, 730, 267, 7783, 267, 610, 7745, 2960, 269, 901, 568, 1317, 3167, 14768, 949, 2014, 519, 2783, 547, 22009, 269, 5047, 267, 1004, 1058, 711, 946, 570, 27602, 4559, 1247, 12008, 267, 6117, 267, 610, 5665, 5230, 12227, 269, 7439, 1058, 789, 946, 873, 1247, 24760, 538, 1216, 563, 2691, 547, 3680, 454, 2026, 5892, 5018, 267, 1978, 1072, 2175, 616, 711, 15095, 609, 6850, 1492, 2805, 269, 4935, 267, 1346, 609, 513, 1686, 540, 2860, 267, 20560, 267, 17465, 267, 543, 2295, 2068, 1058, 2057, 1210, 570, 27602, 269, 5047, 267, 1004, 609, 5122, 543, 4496, 18032, 267, 899, 10605, 16234, 543, 1219, 2320, 650, 2209, 267, 1058, 711, 946, 570, 27602, 269, 901, 568, 1317, 621, 949, 2014, 519, 18032, 547, 29840, 563, 12234, 267, 9176, 2021, 1058, 17712, 664, 689, 1210, 570, 27602, 269, 1717, 267, 789, 949, 2307, 741, 7189, 827, 1210, 621, 585, 11668, 1928, 269, 4658, 1058, 849, 2057, 570, 27602, 952, 789, 616, 13027, 547, 519, 2326, 1031, 538, 519, 19650, 15649, 269, 14936, 267, 789, 1590, 3343, 2564, 3007, 952, 741, 1928, 7707, 839, 1282, 610, 1310, 519, 8400, 563, 307, 27602, 13942, 2527, 6162, 946, 3167, 14768, 9447, 676, 23287, 21181, 547, 13468, 1928, 269, 901, 5122, 3926, 568, 2653, 547, 946, 1510, 2564, 15569, 269, 898, 2636, 1082, 1004, 547, 2569, 741, 6981, 540, 1928, 6646, 269, 3958, 267, 621, 2337, 3432, 909, 519, 6051, 540, 1082, 2043, 269, 4014, 570, 27602, 1281, 711, 2047, 1521, 2175, 267, 621, 2337, 1004, 607, 851, 540, 741, 2126, 4566, 269, 4658, 949, 5077, 741, 7189, 610, 2168, 16293, 3823, 1210, 570, 27602, 563, 13010, 267, 2542, 519, 4808, 585, 1697, 14950, 13307, 568, 2629, 585, 2500, 1928, 8323, 269, 4658, 1590, 2057, 6213, 2127, 899, 519, 11563, 543, 519, 12636, 269, 3958, 267, 789, 1590, 2638, 952, 741, 1770, 568, 538, 1434, 2783, 547, 2061, 32657, 2355, 1282, 519, 8400, 269, 11370, 3539, 15111, 268, 2193, 1563, 3457, 5849, 519, 3926, 814, 22734, 11826, 4152, 543, 10742, 4441, 269, 1703, 616, 1082, 3681, 585, 29040, 543, 12616, 4559, 538, 519, 2344, 269, 2290, 4781, 568, 519, 12616, 1775, 307, 27602, 689, 1775, 307, 27602, 3243, 26515, 269, 0, 763, 14033, 6611, 8416, 630, 10064, 301, 264, 568, 811, 982, 1175, 606, 30843, 540, 519, 14033, 3047, 8416, 779, 543, 6611, 8416, 779, 2230, 2861, 4066, 267, 2666, 10473, 543, 32110, 282, 621, 779, 519, 3060, 998, 799, 8331, 543, 824, 2230, 3755, 786, 1631, 6582, 585, 1489, 2533, 585, 741, 2282, 7232, 14390, 13485, 799, 1331, 1463, 3562, 7232, 14390, 2533, 543, 20794, 7207, 269, 7600, 1227, 267, 1346, 1489, 2533, 949, 581, 11865, 539, 998, 2229, 610, 5010, 3060, 7221, 538, 513, 1259, 602, 568, 15774, 547, 3755, 12544, 22294, 538, 14662, 320, 301, 779, 4674, 547, 6451, 2810, 2157, 540, 5010, 3028, 1247, 4180, 5692, 2115, 616, 1558, 563, 763, 715, 17928, 2488, 7658, 11496, 267, 4971, 532, 267, 2666, 2861, 9477, 267, 1239, 543, 10618, 2533, 547, 513, 2647, 2039, 540, 5561, 609, 15408, 912, 268, 538, 1970, 3047, 10739, 630, 4041, 302, 994, 268, 2520, 657, 2106, 28942, 10739, 630, 12283, 302, 994, 268, 3810, 14248, 18967, 673, 10739, 630, 4047, 302, 994, 268, 16264, 10739, 454, 1103, 1840, 267, 519, 715, 17928, 5161, 540, 513, 26424, 540, 2520, 657, 2106, 28942, 630, 24618, 28835, 264, 15408, 3957, 519, 31524, 4578, 4039, 599, 31420, 630, 307, 11403, 306, 1070, 5665, 476, 2190, 3108, 513, 1554, 267, 5722, 2395, 513, 3018, 267, 476, 18458, 2395, 829, 1032, 269, 1452, 7221, 1683, 6024, 2518, 3795, 547, 8331, 13485, 538, 19845, 302, 543, 547, 10131, 6472, 1282, 741, 10131, 543, 607, 1417, 5123, 267, 1519, 1169, 10131, 540, 513, 772, 2529, 269, 6554, 9682, 269, 8081, 568, 849, 3177, 547, 13485, 538, 16777, 302, 950, 519, 10739, 6770, 519, 14361, 1369, 2039, 269, 0, 1103, 519, 1158, 540, 6128, 267, 513, 20769, 6670, 568, 513, 15768, 3892, 540, 5506, 936, 513, 1305, 540, 2829, 540, 2470, 269, 3509, 2829, 723, 513, 13169, 1982, 269, 8419, 3323, 835, 538, 476, 6245, 271, 267, 1247, 17857, 267, 27924, 267, 16506, 267, 16713, 267, 14822, 267, 543, 3162, 21241, 4553, 269, 6115, 1533, 543, 1715, 6792, 4553, 4166, 1310, 269, 769, 519, 476, 1960, 271, 338, 267, 7147, 849, 5189, 513, 13169, 1982, 269, 1809, 1018, 568, 519, 1483, 3483, 540, 20769, 6670, 286, 1772, 621, 513, 1106, 540, 13989, 286, 2107, 513, 6456, 3454, 888, 299, 582, 6670, 568, 513, 15768, 3892, 540, 5506, 593, 513, 1305, 540, 2829, 540, 2470, 454, 288, 13169, 568, 513, 1062, 540, 17831, 609, 4351, 4093, 267, 538, 799, 519, 2609, 5330, 547, 519, 17831, 540, 513, 2016, 1533, 540, 2470, 269, 20769, 23065, 616, 1419, 1031, 547, 1353, 3903, 896, 10462, 269, 634, 1523, 3297, 27601, 568, 513, 2067, 835, 267, 543, 513, 2603, 540, 7811, 960, 814, 5059, 593, 922, 2640, 269, 898, 666, 581, 513, 3730, 1907, 950, 519, 4093, 540, 1082, 1114, 3527, 616, 7334, 267, 971, 607, 950, 7446, 513, 9656, 563, 2005, 568, 513, 1106, 540, 13989, 454, 763, 13169, 568, 513, 1826, 540, 13989, 538, 799, 5716, 4444, 17914, 543, 530, 4526, 593, 519, 6364, 540, 513, 2721, 269, 30410, 8240, 949, 2039, 689, 6666, 547, 5370, 547, 17914, 538, 5026, 2319, 31585, 269, 11038, 27601, 616, 519, 1034, 1455, 543, 1683, 513, 1259, 547, 3094, 1804, 5666, 540, 2724, 585, 2370, 610, 1100, 5092, 269, 2755, 1082, 1004, 2015, 27601, 513, 1106, 540, 13989, 267, 1082, 849, 1404, 873, 547, 4324, 26988, 3123, 563, 2005, 568, 513, 1106, 540, 6456, 3454, 454, 7197, 1004, 1810, 1406, 8275, 602, 519, 13169, 568, 513, 1106, 540, 6456, 3454, 269, 634, 2229, 25173, 1713, 5666, 540, 3454, 8907, 998, 13169, 3756, 269, 1452, 7482, 616, 1031, 585, 1585, 2229, 2533, 267, 543, 621, 3085, 1406, 1118, 2631, 547, 8007, 835, 1895, 540, 4961, 936, 1776, 269, 1717, 267, 972, 616, 17498, 1938, 547, 713, 1106, 540, 21259, 269, 1452, 616, 5941, 2630, 269, 1403, 596, 616, 6236, 4730, 519, 13169, 267, 2015, 519, 3790, 543, 2640, 540, 4730, 563, 2005, 568, 513, 1106, 540, 26313, 5989, 454, 763, 13169, 10618, 1062, 3096, 513, 32469, 540, 1448, 6361, 1606, 1446, 23525, 547, 1921, 547, 513, 32469, 540, 12616, 543, 5911, 1467, 5121, 269, 634, 23525, 723, 693, 2547, 1079, 3060, 268, 1725, 8251, 8220, 3457, 547, 2327, 5021, 15399, 830, 585, 13169, 12427, 543, 21625, 269, 1452, 23525, 666, 581, 27358, 547, 1921, 547, 2789, 12616, 543, 5911, 1467, 5121, 693, 519, 1482, 942, 269, 4635, 513, 13169, 10618, 1062, 267, 21625, 543, 13169, 12427, 666, 3362, 543, 28761, 1921, 547, 13169, 1239, 7740, 269, 0, 294, 3711, 1782, 3322, 11093, 1945, 540, 1871, 593, 513, 4351, 2680, 609, 519, 4126, 540, 10888, 1945, 3116, 540, 1871, 269, 898, 2882, 2238, 971, 607, 27601, 267, 7504, 14797, 267, 543, 5578, 2861, 3756, 899, 533, 20269, 269, 898, 849, 2882, 3381, 3756, 602, 723, 13989, 2609, 543, 5026, 25919, 269, 3509, 1533, 543, 2197, 6608, 10038, 543, 1852, 891, 2010, 540, 2238, 269, 898, 568, 6059, 602, 5001, 267, 1004, 6108, 827, 1269, 1015, 18265, 16155, 593, 891, 2238, 1142, 1032, 563, 5278, 1004, 1831, 29279, 547, 13989, 543, 1020, 27690, 13989, 630, 22333, 1040, 623, 294, 568, 3989, 538, 519, 26616, 543, 18926, 15015, 540, 10076, 15136, 607, 10770, 543, 20443, 32277, 28922, 3270, 540, 2623, 602, 4125, 1981, 23824, 267, 2530, 540, 1852, 267, 543, 2942, 4539, 269, 27051, 476, 271, 269, 275, 260, 268, 272, 269, 277, 260, 540, 4892, 2743, 7355, 585, 513, 623, 294, 5868, 267, 543, 891, 2043, 3335, 1376, 13989, 538, 18273, 610, 1762, 15296, 563, 2467, 616, 513, 3099, 540, 2126, 3681, 2139, 585, 623, 294, 269, 769, 930, 2665, 267, 6646, 949, 581, 1031, 547, 948, 1852, 791, 6160, 4369, 269, 769, 824, 2665, 267, 3797, 568, 5227, 269, 26935, 1235, 666, 948, 1004, 1451, 8902, 2081, 547, 14867, 18473, 4606, 269, 1358, 666, 4001, 873, 875, 547, 4383, 741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 347, 7377, 930, 8970, 267, 1219, 15543, 5779, 267, 3533, 3002, 513, 13792, 12129, 269, 1548, 2413, 1554, 27803, 568, 5827, 540, 3257, 782, 713, 543, 811, 286, 634, 17196, 14089, 267, 540, 1576, 269, 1358, 4076, 1831, 606, 7533, 851, 540, 2413, 6539, 29353, 543, 938, 6197, 269, 9894, 596, 2479, 4898, 875, 789, 3357, 547, 581, 286, 1284, 3580, 723, 547, 2490, 1394, 519, 3946, 540, 942, 936, 476, 3583, 1296, 547, 519, 4158, 2395, 540, 2622, 2782, 4083, 547, 1265, 856, 563, 310, 310, 2862, 3459, 950, 1520, 20462, 13609, 779, 13303, 12512, 17736, 1600, 609, 9478, 23237, 779, 8168, 6576, 547, 28117, 12996, 538, 5181, 267, 476, 4350, 280, 269, 3245, 972, 267, 4436, 4229, 4682, 593, 547, 30908, 2066, 1454, 540, 18626, 2342, 267, 543, 1256, 607, 2484, 607, 3345, 4000, 543, 519, 5664, 5101, 269, 769, 519, 3068, 540, 891, 543, 2104, 2112, 18902, 951, 267, 4279, 6628, 7283, 938, 24343, 543, 513, 1713, 3196, 547, 581, 18808, 609, 563, 7212, 13609, 729, 8247, 593, 8744, 519, 3703, 7276, 547, 621, 19704, 676, 1797, 540, 19666, 10514, 731, 618, 267, 646, 1705, 711, 8011, 269, 1261, 8959, 547, 1491, 883, 2272, 519, 1249, 602, 519, 3703, 9576, 5794, 10414, 674, 7660, 16710, 1185, 513, 2189, 5413, 936, 1010, 4436, 13198, 1111, 342, 25377, 1700, 610, 5794, 10414, 547, 1346, 540, 596, 711, 909, 593, 707, 4436, 269, 634, 5413, 729, 1572, 681, 4696, 2752, 267, 606, 27099, 585, 681, 3849, 1470, 24544, 1656, 681, 4474, 269, 8729, 547, 713, 28106, 2029, 267, 519, 3703, 674, 7660, 16710, 729, 2111, 547, 3713, 19670, 4436, 2112, 680, 6951, 1134, 538, 4434, 540, 741, 12625, 936, 3703, 3037, 267, 543, 713, 3177, 3703, 21804, 609, 2614, 942, 547, 26545, 1076, 741, 25142, 14742, 543, 1205, 513, 7914, 593, 741, 31487, 269, 4014, 3520, 1026, 569, 856, 333, 3518, 1229, 267, 519, 9576, 5794, 10414, 14742, 7307, 547, 1102, 12787, 5230, 25096, 593, 519, 13198, 1111, 342, 25377, 269, 769, 1249, 267, 713, 11135, 540, 6628, 267, 607, 621, 3357, 547, 581, 1634, 267, 6825, 519, 1101, 14710, 540, 13609, 779, 4108, 4229, 1282, 519, 2112, 563, 3383, 875, 1281, 713, 2413, 14952, 540, 681, 4696, 2752, 960, 286, 15439, 7150, 267, 621, 18993, 1080, 5925, 6329, 689, 606, 19215, 269, 1879, 891, 6329, 10880, 606, 1843, 267, 2161, 606, 16042, 4436, 20987, 267, 930, 6329, 616, 10630, 1394, 547, 513, 2027, 17513, 19215, 269, 634, 10630, 5925, 6329, 616, 1287, 10736, 676, 519, 16986, 1062, 883, 513, 968, 4565, 760, 892, 593, 513, 13156, 5496, 269, 589, 16986, 11346, 6763, 693, 519, 4712, 267, 8036, 538, 519, 1148, 540, 16208, 16986, 1025, 2354, 269, 1261, 610, 1352, 568, 3533, 2111, 547, 2708, 519, 16042, 1843, 779, 2990, 267, 4287, 540, 2951, 267, 543, 3432, 540, 1935, 563, 7212, 519, 2093, 602, 3366, 547, 519, 1646, 540, 16986, 1185, 1044, 1472, 585, 930, 942, 1354, 24918, 267, 621, 7012, 1406, 2394, 519, 3735, 476, 4350, 271, 338, 602, 8030, 3459, 3384, 621, 585, 2011, 8878, 5301, 269, 1358, 1101, 2919, 1018, 729, 1572, 513, 1279, 5951, 16986, 1062, 267, 13288, 547, 519, 1249, 602, 519, 5925, 6329, 10299, 1185, 513, 1279, 15423, 267, 827, 476, 272, 269, 276, 7397, 269, 634, 3703, 267, 693, 519, 1283, 540, 741, 3014, 267, 1185, 17191, 519, 13303, 3463, 543, 8704, 606, 5044, 540, 891, 593, 741, 7532, 5032, 676, 476, 3707, 271, 269, 4014, 1279, 5951, 16986, 5249, 1134, 2614, 1282, 519, 11135, 540, 6628, 267, 621, 2838, 7372, 267, 2244, 2861, 32110, 547, 7500, 267, 799, 9863, 547, 581, 524, 13246, 727, 269, 898, 849, 7948, 1406, 2285, 12427, 513, 1434, 2856, 540, 875, 1082, 14742, 941, 16042, 563, 10190, 267, 1175, 3275, 1354, 519, 4098, 540, 519, 11135, 540, 6628, 267, 3703, 3173, 2919, 606, 16600, 1283, 5728, 3926, 789, 29805, 513, 968, 637, 517, 656, 2275, 822, 640, 11275, 1258, 2223, 610, 11275, 1258, 585, 2110, 269, 901, 11275, 1258, 729, 5827, 540, 6721, 2110, 5925, 6329, 267, 538, 519, 2039, 540, 476, 272, 547, 476, 1015, 28935, 267, 543, 891, 3357, 547, 581, 1634, 607, 14580, 2314, 563, 763, 2029, 27058, 538, 519, 11275, 1258, 8118, 519, 7450, 547, 606, 4824, 16986, 1062, 267, 835, 799, 2968, 5985, 269, 1452, 1949, 941, 811, 3362, 8704, 593, 8484, 267, 9635, 267, 543, 2244, 6472, 269, 12130, 992, 1511, 16986, 729, 849, 1336, 547, 581, 1732, 693, 16326, 1507, 3615, 982, 922, 7372, 31317, 2029, 269, 10251, 267, 17196, 16986, 7948, 1406, 581, 2322, 547, 946, 538, 942, 585, 519, 11135, 540, 6628, 267, 855, 621, 1705, 1404, 513, 11358, 1909, 538, 519, 14710, 540, 31196, 267, 602, 568, 519, 15852, 2427, 779, 267, 4229, 1282, 519, 14230, 540, 24918, 563, 9202, 942, 649, 3580, 1491, 513, 6251, 1413, 693, 519, 22298, 13570, 11275, 1258, 543, 1265, 856, 875, 17196, 16986, 3366, 547, 519, 1646, 540, 519, 4583, 14089, 602, 12217, 922, 2012, 269, 0, 11847, 2176, 910, 29149, 282, 4325, 16696, 270, 9288, 7566, 14430, 282, 31592, 270, 23797, 5511, 4578, 454, 763, 15642, 1049, 4065, 4578, 3590, 630, 309, 3633, 306, 264, 1239, 3490, 729, 2813, 607, 513, 1267, 540, 519, 15642, 1049, 4065, 2549, 754, 906, 540, 476, 3192, 277, 269, 966, 3633, 306, 7194, 941, 547, 581, 6394, 538, 519, 1106, 540, 1533, 268, 12000, 26021, 1239, 630, 7474, 568, 267, 1533, 7400, 1239, 568, 11643, 676, 1142, 1533, 267, 1759, 2390, 5638, 543, 1239, 6394, 676, 519, 1533, 585, 713, 543, 824, 5301, 5148, 543, 966, 3633, 306, 1239, 267, 799, 3382, 1152, 602, 6712, 540, 519, 25367, 2069, 13055, 799, 568, 4988, 676, 1533, 4566, 896, 519, 15642, 1049, 4065, 2920, 630, 12671, 476, 3445, 2600, 540, 25367, 2069, 1053, 1040, 4578, 8659, 538, 519, 966, 3633, 306, 6538, 616, 519, 1739, 281, 630, 272, 264, 519, 2164, 540, 32486, 1533, 20241, 540, 519, 6708, 547, 799, 1982, 1264, 1562, 543, 682, 28316, 1265, 7694, 538, 23909, 1644, 547, 741, 2866, 543, 616, 2808, 676, 741, 12820, 547, 581, 1134, 8036, 543, 5423, 281, 630, 273, 264, 1239, 593, 25367, 1053, 267, 1519, 5198, 543, 3023, 282, 630, 274, 264, 3292, 282, 630, 275, 264, 1982, 1264, 1562, 543, 682, 28316, 281, 630, 276, 264, 5234, 282, 630, 277, 264, 6703, 282, 543, 630, 278, 264, 24723, 269, 634, 1062, 729, 8704, 585, 519, 1153, 1032, 476, 3192, 279, 268, 8064, 267, 543, 814, 4797, 593, 606, 5993, 4493, 2094, 602, 942, 269, 2311, 1459, 267, 1239, 998, 476, 2735, 271, 616, 2139, 585, 1569, 676, 7855, 543, 3173, 269, 630, 763, 1292, 851, 540, 519, 3561, 3568, 2143, 1344, 593, 519, 1585, 6688, 540, 1239, 2139, 538, 966, 3633, 306, 282, 606, 23064, 17609, 540, 1883, 12326, 799, 2270, 1239, 827, 25367, 2069, 282, 543, 606, 23064, 17609, 540, 519, 2139, 1239, 7148, 525, 543, 5528, 827, 875, 789, 666, 581, 10288, 4700, 630, 298, 290, 994, 26261, 4843, 693, 519, 16316, 20051, 540, 519, 1977, 12409, 3194, 5948, 630, 6124, 3840, 267, 12924, 267, 4728, 476, 2420, 267, 476, 2735, 273, 1916, 309, 665, 1049, 4065, 4578, 3590, 454, 272, 910, 12232, 593, 29370, 7865, 454, 13233, 4741, 585, 4065, 10803, 630, 3633, 1070, 6115, 267, 9823, 269, 0, 303, 1575, 2812, 5531, 543, 2671, 1344, 827, 5389, 538, 741, 2477, 1644, 547, 12624, 26141, 17963, 269, 5753, 2119, 547, 1265, 519, 1655, 1259, 540, 9306, 519, 5389, 585, 1383, 281, 5961, 267, 6486, 267, 19180, 14245, 267, 6337, 267, 12400, 269, 1358, 2671, 2326, 827, 2093, 13344, 585, 741, 12624, 338, 563, 268, 23527, 281, 2776, 17469, 23527, 454, 268, 19932, 281, 13673, 454, 268, 32167, 559, 781, 2085, 281, 476, 277, 910, 476, 278, 454, 268, 13088, 547, 581, 1031, 281, 552, 17733, 267, 4033, 3301, 630, 20175, 4812, 267, 3381, 267, 5961, 543, 12400, 1070, 3828, 1231, 10628, 454, 268, 13667, 338, 281, 634, 2832, 540, 533, 15756, 2996, 1222, 568, 547, 2671, 2093, 5234, 543, 6204, 1597, 2231, 585, 11299, 2676, 16753, 827, 10486, 543, 3604, 538, 4272, 6737, 1231, 1862, 1224, 811, 454, 268, 4518, 1184, 281, 476, 272, 269, 5753, 2995, 827, 741, 11299, 269, 32167, 2812, 1459, 741, 11299, 281, 5373, 267, 5961, 543, 2995, 2262, 834, 15948, 257, 538, 1114, 4654, 563, 273, 269, 16065, 543, 1862, 1224, 811, 454, 268, 1401, 4624, 2164, 281, 15937, 281, 3828, 514, 6611, 267, 6337, 267, 12400, 267, 5961, 267, 3381, 0, 9773, 2305, 630, 14551, 2287, 540, 519, 16209, 264, 666, 1376, 538, 6689, 269, 6744, 856, 519, 2376, 267, 834, 2419, 7995, 543, 16183, 29912, 538, 5753, 1701, 1656, 1346, 945, 5030, 519, 13074, 630, 1417, 523, 12579, 264, 1419, 723, 513, 5444, 602, 7472, 513, 1164, 31613, 630, 1492, 1434, 264, 8501, 1377, 563, 3086, 513, 1007, 1353, 4843, 593, 4728, 476, 1015, 267, 476, 1001, 274, 538, 5842, 12770, 693, 519, 1977, 5441, 540, 595, 926, 617, 9609, 5870, 543, 3370, 2228, 676, 519, 31102, 2982, 602, 544, 27186, 5215, 540, 1296, 2025, 689, 513, 3099, 540, 6753, 1185, 2182, 2287, 540, 519, 16209, 269, 1809, 1152, 2185, 2600, 540, 1346, 544, 27186, 1185, 2182, 2287, 540, 519, 16209, 630, 7752, 29912, 264, 538, 519, 18337, 16209, 267, 1141, 621, 1223, 2014, 2295, 6285, 563, 763, 2783, 4440, 1185, 1044, 15110, 267, 543, 621, 4769, 1405, 1118, 513, 3017, 2436, 519, 2732, 15091, 5779, 543, 16872, 538, 519, 11848, 267, 10365, 543, 9274, 538, 840, 4211, 565, 3518, 1014, 5824, 3013, 267, 610, 519, 10286, 267, 3165, 267, 4829, 267, 7423, 267, 10381, 267, 3694, 267, 543, 14420, 11320, 710, 2732, 540, 3504, 5527, 267, 2687, 547, 519, 4728, 476, 1556, 267, 476, 1001, 274, 3377, 5305, 267, 834, 10214, 631, 27186, 16874, 1849, 690, 3022, 1488, 23065, 1923, 29376, 292, 2593, 4799, 763, 1353, 25643, 2182, 2989, 16209, 1851, 3504, 544, 27186, 5267, 602, 2188, 971, 607, 6090, 2864, 982, 3635, 610, 11326, 949, 581, 7700, 547, 519, 19221, 540, 15799, 538, 1973, 8043, 269, 6744, 856, 519, 2376, 267, 834, 26123, 12266, 27959, 1631, 1634, 547, 581, 1101, 1268, 538, 1480, 1686, 609, 8995, 18337, 16050, 2068, 1701, 4746, 1294, 267, 30926, 543, 25933, 538, 12266, 544, 27186, 910, 14523, 2762, 3163, 1280, 4548, 269, 6423, 267, 30926, 769, 9147, 12266, 8751, 2125, 286, 1496, 19425, 633, 4940, 1656, 824, 5095, 1031, 1585, 16909, 14319, 563, 1103, 606, 4587, 2904, 476, 1001, 272, 1353, 540, 544, 27186, 609, 16050, 2068, 267, 27555, 18287, 2305, 630, 553, 513, 15262, 540, 19473, 29912, 264, 729, 10423, 693, 513, 3099, 540, 4609, 538, 5527, 538, 3592, 3368, 519, 544, 27186, 1085, 10165, 267, 20872, 519, 22602, 547, 4063, 602, 519, 2783, 729, 1455, 538, 713, 1895, 540, 1647, 9907, 610, 4587, 3504, 21072, 269, 634, 476, 736, 544, 27186, 609, 17386, 19473, 29912, 941, 4587, 630, 11743, 476, 3393, 13885, 8986, 264, 982, 1346, 609, 16856, 15466, 5160, 855, 1100, 19473, 29912, 630, 4097, 269, 276, 1296, 1916, 1103, 519, 476, 1001, 274, 5767, 1353, 267, 3173, 3576, 11632, 18767, 540, 476, 15389, 544, 27186, 689, 1896, 6753, 1519, 5527, 267, 18475, 267, 22236, 3013, 543, 519, 22176, 583, 1014, 11866, 538, 14522, 269, 27561, 538, 519, 4760, 31102, 267, 789, 1336, 602, 936, 513, 3791, 540, 519, 544, 27186, 1185, 4191, 540, 2693, 610, 17386, 2182, 2989, 16209, 267, 543, 1256, 538, 2665, 1141, 519, 8043, 2933, 1185, 30477, 3603, 267, 519, 29267, 626, 752, 762, 24790, 540, 18287, 1881, 29693, 13196, 602, 9738, 519, 3337, 540, 891, 8043, 7283, 269, 1358, 1336, 602, 2085, 543, 942, 540, 2669, 729, 9797, 17047, 609, 519, 6708, 540, 519, 19473, 29912, 282, 519, 4587, 519, 544, 16244, 267, 519, 811, 2693, 602, 29693, 13196, 941, 1459, 269, 6744, 856, 519, 2376, 267, 834, 14722, 1133, 16225, 519, 3689, 8865, 540, 10434, 2989, 1488, 23065, 538, 513, 631, 16244, 4799, 28095, 2090, 1185, 3254, 2147, 4681, 269, 1809, 519, 544, 27186, 538, 1346, 9382, 1185, 10150, 5266, 1164, 14227, 4567, 267, 543, 941, 4061, 811, 2693, 547, 3548, 21950, 11326, 1164, 538, 15459, 3170, 543, 5310, 3635, 1447, 2094, 1034, 1185, 22063, 3257, 519, 960, 585, 873, 269, 901, 3923, 781, 1353, 3769, 513, 811, 3309, 2551, 540, 544, 27186, 267, 711, 1152, 14547, 3504, 21072, 269, 769, 519, 5767, 1353, 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 ]
[ 543, 519, 1034, 4049, 23043, 8915, 2663, 982, 789, 6382, 1131, 723, 563, 10527, 2698, 2179, 540, 6101, 2069, 602, 1004, 4309, 568, 1644, 547, 741, 3328, 2157, 540, 5042, 8647, 2429, 15296, 2223, 1767, 11875, 3999, 631, 269, 570, 27462, 5937, 13681, 267, 513, 11001, 609, 519, 2160, 540, 7147, 267, 21388, 267, 543, 1071, 10461, 593, 519, 1957, 269, 968, 4913, 267, 621, 568, 711, 3507, 2406, 1644, 547, 741, 3928, 540, 10172, 5829, 5042, 23229, 1848, 25594, 2542, 9890, 454, 290, 4321, 7771, 568, 513, 2101, 6161, 540, 519, 10172, 2551, 269, 1325, 2819, 267, 12216, 779, 2068, 5540, 5111, 476, 276, 269, 275, 2929, 4892, 543, 476, 1789, 2929, 1004, 11451, 269, 9453, 2500, 6604, 543, 2126, 267, 519, 16548, 585, 519, 2104, 616, 6926, 752, 269, 1635, 476, 13078, 271, 267, 621, 568, 6059, 602, 476, 8182, 2929, 1004, 11451, 786, 723, 519, 2068, 267, 1519, 476, 1724, 2929, 4892, 267, 3056, 547, 1761, 28153, 540, 519, 24310, 1062, 269, 9521, 1896, 824, 5312, 10108, 267, 12216, 779, 2068, 568, 593, 519, 4473, 1700, 516, 1417, 9193, 2303, 602, 12216, 779, 2068, 814, 1831, 519, 3791, 3056, 2014, 540, 2669, 538, 519, 2136, 2276, 3297, 9025, 2068, 543, 2860, 269, 4595, 922, 1101, 6609, 936, 476, 1911, 1296, 3516, 267, 12216, 779, 2068, 814, 1044, 1510, 2500, 2126, 563, 4407, 3173, 3136, 547, 3343, 856, 513, 10826, 267, 621, 568, 4742, 2312, 602, 972, 616, 2500, 2126, 3681, 269, 2859, 543, 811, 1382, 7028, 519, 3932, 602, 12216, 779, 2068, 568, 711, 513, 2068, 540, 1152, 29530, 2549, 2643, 1355, 29693, 13196, 543, 28001, 8126, 956, 855, 513, 1950, 543, 11528, 2068, 269, 769, 713, 1353, 540, 2550, 609, 8795, 2157, 540, 5042, 7771, 267, 621, 568, 7152, 875, 513, 8856, 543, 10531, 1935, 2164, 538, 2901, 32278, 610, 6454, 538, 3965, 563, 288, 742, 3305, 520, 643, 2657, 8179, 547, 3313, 2436, 513, 3102, 543, 10531, 1982, 267, 2966, 547, 11574, 1981, 2188, 540, 12216, 779, 2068, 1223, 2087, 5042, 543, 10894, 1599, 538, 2043, 7680, 5042, 7771, 269, 28454, 3177, 2963, 602, 713, 1935, 666, 2087, 1981, 3815, 8464, 543, 24644, 5042, 1599, 563, 10144, 609, 2539, 7622, 5763, 630, 528, 14227, 4567, 264, 723, 513, 2362, 1981, 540, 1082, 3676, 267, 1519, 2295, 2068, 267, 3987, 267, 543, 4965, 269, 1358, 849, 723, 10156, 12468, 335, 753, 269, 2368, 6197, 2188, 949, 1404, 513, 1909, 269, 1280, 1383, 267, 1004, 609, 2539, 26038, 723, 2362, 3928, 540, 7296, 269, 1717, 267, 824, 2188, 31251, 5312, 2566, 543, 4389, 1569, 547, 2200, 1765, 10193, 2693, 3565, 267, 2687, 547, 519, 2817, 4659, 593, 28544, 630, 301, 8656, 1916, 27832, 568, 1634, 827, 875, 14227, 4567, 7506, 519, 2489, 10172, 1184, 269, 1677, 1413, 811, 5702, 693, 713, 2243, 267, 3220, 338, 269, 12448, 6008, 696, 4141, 543, 14529, 7637, 2098, 534, 514, 582, 1729, 689, 2160, 5441, 5507, 4553, 811, 982, 476, 276, 267, 1822, 4079, 267, 9907, 476, 7367, 543, 4587, 267, 585, 476, 279, 1296, 4098, 538, 476, 1220, 275, 269, 634, 2319, 13264, 519, 1353, 5171, 883, 2185, 2516, 1759, 593, 7622, 5763, 269, 15566, 2542, 9890, 454, 2710, 596, 917, 602, 4743, 596, 1205, 538, 707, 8937, 286, 898, 7140, 856, 707, 8937, 949, 2731, 581, 3843, 547, 2995, 596, 1945, 269, 3776, 22435, 1107, 519, 476, 1911, 18265, 4551, 543, 7103, 2713, 538, 938, 8937, 1107, 5526, 547, 723, 513, 7096, 3310, 593, 938, 1072, 543, 1981, 540, 2068, 269, 1656, 2038, 3621, 2090, 1397, 972, 949, 581, 513, 3095, 1063, 519, 22435, 543, 519, 2634, 602, 1223, 1764, 519, 1981, 540, 12216, 779, 543, 824, 2634, 3676, 563, 763, 22435, 568, 513, 4015, 540, 4551, 267, 8290, 543, 13271, 602, 2661, 6140, 538, 938, 15499, 1062, 269, 1358, 1404, 606, 1271, 1909, 538, 12536, 543, 519, 2504, 540, 1978, 8324, 267, 543, 789, 1489, 938, 4761, 1062, 269, 12824, 1472, 519, 1158, 1353, 519, 8937, 22435, 267, 2523, 1346, 4551, 2189, 547, 2043, 267, 547, 1451, 811, 827, 741, 3310, 593, 938, 2949, 1072, 563, 2005, 779, 2760, 1932, 3735, 547, 30824, 909, 930, 14229, 5474, 543, 960, 909, 513, 17570, 585, 2634, 1072, 267, 2687, 547, 513, 1353, 3370, 538, 519, 2904, 476, 1724, 267, 476, 1708, 271, 267, 2228, 3390, 540, 27096, 344, 10378, 267, 519, 2564, 4760, 540, 519, 1977, 9142, 540, 27096, 344, 269, 634, 1353, 5267, 4587, 4079, 267, 1256, 4172, 577, 12277, 267, 949, 1685, 1732, 593, 1978, 3206, 543, 3965, 4255, 1310, 1175, 3670, 3275, 540, 20659, 3635, 563, 2108, 2026, 649, 782, 1265, 856, 5555, 267, 649, 6336, 513, 3787, 15508, 543, 9308, 607, 649, 2085, 269, 1809, 1256, 952, 596, 1376, 606, 3635, 1982, 2663, 538, 1272, 267, 519, 4324, 547, 707, 2634, 949, 581, 10373, 2223, 1767, 1353, 2278, 16205, 808, 269, 623, 537, 4802, 267, 1912, 6185, 1421, 667, 269, 24589, 1421, 689, 519, 595, 636, 2719, 3427, 540, 6925, 693, 519, 2160, 540, 2836, 326, 776, 538, 22598, 267, 4516, 269, 968, 306, 675, 267, 20659, 3635, 4991, 1973, 3001, 998, 707, 1560, 269, 1306, 938, 1353, 1336, 267, 621, 949, 849, 1205, 1973, 3001, 547, 707, 2634, 267, 3226, 538, 2127, 3743, 585, 11913, 21711, 543, 10324, 3252, 269, 3776, 4466, 949, 581, 1271, 267, 2523, 585, 4587, 4079, 693, 1981, 585, 12216, 779, 543, 824, 632, 618, 5362, 543, 2634, 2068, 3034, 4415, 811, 982, 476, 1789, 2929, 4892, 8995, 609, 3987, 267, 543, 1776, 476, 9262, 2929, 8995, 609, 8377, 267, 1312, 2175, 723, 1831, 3084, 8623, 12515, 563, 763, 1079, 3676, 2014, 513, 1297, 540, 8374, 267, 1519, 29302, 267, 799, 3123, 3441, 547, 519, 15672, 13285, 269, 11671, 15797, 568, 6353, 676, 31018, 610, 32688, 543, 666, 3006, 581, 10483, 676, 1928, 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 ]
[ 272, 269, 589, 1560, 3788, 693, 1964, 267, 610, 7575, 538, 513, 2786, 1899, 693, 513, 3586, 3432, 267, 8259, 19500, 2390, 676, 513, 2121, 3544, 3196, 269, 476, 273, 269, 634, 10231, 540, 606, 1843, 568, 14354, 547, 519, 2121, 3544, 3196, 9117, 593, 519, 1843, 267, 543, 11201, 569, 14354, 547, 922, 2527, 630, 293, 284, 2742, 1040, 476, 274, 269, 24269, 835, 1560, 11851, 338, 513, 3196, 593, 513, 2034, 1560, 267, 519, 2034, 1560, 11851, 338, 606, 3160, 543, 6587, 3196, 593, 454, 763, 3337, 666, 1689, 998, 942, 547, 1831, 17208, 610, 554, 10541, 693, 519, 1439, 538, 3210, 547, 2242, 538, 2842, 4287, 543, 14768, 630, 272, 1665, 1040, 3794, 659, 2747, 11512, 519, 5250, 540, 835, 2144, 657, 1308, 2244, 845, 543, 835, 18254, 531, 2244, 845, 689, 1411, 949, 2483, 10870, 867, 3990, 998, 590, 4753, 781, 10871, 5398, 16457, 11347, 585, 17650, 531, 8315, 269, 20051, 593, 5147, 476, 2190, 267, 476, 1001, 276, 4547, 1927, 8828, 4993, 32525, 267, 6314, 12317, 826, 12858, 24184, 16958, 4972, 630, 6224, 291, 264, 2201, 5147, 476, 1839, 267, 476, 1001, 276, 267, 17650, 531, 7027, 18005, 9516, 590, 4753, 781, 7662, 547, 2709, 519, 30673, 5358, 454, 763, 1942, 540, 3251, 538, 513, 1978, 1379, 1533, 1282, 519, 942, 856, 1974, 568, 3838, 676, 782, 519, 4247, 602, 723, 5063, 15600, 519, 12210, 267, 543, 14354, 547, 741, 1297, 540, 12210, 1569, 525, 269, 589, 14255, 25771, 557, 1935, 1131, 581, 547, 2483, 21328, 10307, 1282, 29769, 807, 269, 476, 272, 269, 24665, 730, 28340, 1736, 267, 14915, 622, 2504, 543, 513, 2887, 538, 11682, 269, 634, 3119, 1267, 540, 29769, 807, 568, 1547, 24197, 10894, 14524, 6175, 538, 21085, 5250, 676, 19842, 8485, 800, 3175, 22262, 28340, 1736, 267, 2333, 538, 26961, 658, 7280, 19718, 543, 25026, 4094, 2483, 21659, 755, 16550, 585, 11158, 300, 14178, 2476, 689, 2385, 1970, 267, 9672, 676, 1627, 13305, 10725, 19427, 269, 13571, 14003, 21759, 476, 275, 298, 630, 1911, 5998, 264, 6629, 272, 476, 274, 554, 6629, 272, 1369, 8668, 269, 17726, 543, 4287, 531, 2842, 19427, 2059, 8668, 7852, 269, 5020, 4783, 3340, 2999, 476, 2190, 554, 585, 12032, 563, 303, 1886, 476, 18684, 590, 1157, 9796, 267, 29358, 654, 720, 1299, 744, 3200, 830, 281, 1432, 519, 11982, 12752, 18771, 581, 16721, 1563, 547, 5700, 16721, 1563, 1280, 281, 589, 6020, 313, 2177, 288, 674, 2752, 300, 645, 13543, 288, 308, 269, 5147, 476, 1321, 267, 476, 1001, 278, 1547, 7325, 773, 589, 269, 623, 864, 763, 595, 24170, 27895, 4521, 674, 3305, 267, 623, 6993, 269, 476, 2568, 273, 269, 27088, 269, 29024, 277, 454, 5649, 344, 547, 4647, 519, 3561, 286, 3619, 6619, 543, 5734, 3136, 256, 0, 305, 1047, 26361, 7420, 281, 4303, 476, 2641, 454, 307, 2317, 883, 7186, 454, 2171, 616, 29040, 547, 1745, 811, 1459, 543, 16135, 950, 649, 616, 538, 2470, 267, 865, 2221, 707, 4161, 568, 547, 1921, 609, 2470, 538, 1022, 1259, 2009, 563, 2080, 616, 930, 2241, 267, 13533, 2081, 596, 666, 1921, 609, 2470, 630, 16838, 950, 596, 616, 1514, 26865, 2187, 268, 13185, 513, 3802, 543, 2731, 5469, 519, 4054, 267, 2371, 543, 5810, 269, 12315, 14696, 585, 519, 5135, 789, 616, 3246, 543, 3507, 894, 585, 741, 5898, 563, 268, 10812, 513, 6288, 610, 12341, 1007, 630, 10472, 513, 2259, 602, 786, 8141, 5876, 607, 1134, 994, 268, 23063, 543, 4585, 606, 3662, 267, 610, 606, 5521, 2469, 827, 922, 1554, 2394, 621, 8977, 338, 563, 268, 7046, 513, 6885, 267, 1745, 519, 4195, 2011, 267, 1694, 543, 6432, 547, 519, 4992, 540, 4054, 2220, 11691, 543, 5017, 669, 597, 4771, 563, 268, 1403, 596, 666, 267, 1694, 9944, 513, 3529, 2394, 621, 13071, 979, 540, 513, 6978, 543, 596, 1294, 630, 528, 1256, 5873, 264, 621, 2887, 547, 519, 2666, 563, 268, 13772, 519, 6329, 2394, 519, 2842, 2242, 8846, 610, 13515, 454, 268, 2107, 3274, 1694, 2394, 513, 6531, 4625, 2242, 3337, 267, 543, 7106, 8986, 610, 10596, 593, 519, 16880, 563, 8722, 601, 1863, 547, 2671, 707, 5172, 1259, 547, 556, 6618, 609, 2470, 538, 519, 8292, 2630, 256, 0, 12663, 2628, 1269, 1428, 585, 1079, 476, 6110, 2262, 3594, 538, 14905, 2511, 630, 296, 946, 2490, 527, 514, 547, 2638, 585, 12735, 541, 1143, 994, 1103, 10432, 2290, 267, 596, 941, 5189, 547, 835, 540, 519, 1034, 4583, 1568, 538, 6138, 281, 18573, 779, 968, 2704, 5586, 800, 540, 519, 29190, 1848, 769, 1776, 960, 676, 18573, 267, 11331, 7442, 1108, 267, 24198, 568, 593, 4693, 269, 634, 2262, 777, 1108, 538, 713, 2796, 1797, 8878, 269, 24198, 568, 9306, 513, 8878, 540, 5128, 269, 769, 713, 2542, 267, 596, 786, 1294, 875, 24198, 3096, 2565, 3206, 547, 9718, 5128, 1996, 519, 10997, 4547, 1996, 1864, 543, 519, 6364, 540, 1010, 4693, 269, 769, 1249, 267, 24198, 568, 3622, 6444, 607, 1373, 519, 13653, 540, 2565, 3206, 269, 634, 590, 7095, 1505, 540, 15819, 3322, 6313, 2093, 538, 1931, 547, 1625, 1518, 873, 543, 1174, 811, 827, 873, 269, 1306, 596, 1224, 519, 7442, 1108, 267, 2628, 3007, 547, 519, 1259, 602, 24198, 20781, 547, 1010, 934, 22852, 543, 519, 2409, 646, 3096, 547, 1459, 519, 4661, 602, 646, 568, 538, 1249, 17608, 563, 763, 1557, 1590, 581, 476, 6110, 1913, 538, 3259, 267, 27195, 2140, 543, 4704, 3817, 267, 543, 30149, 2687, 547, 14905, 2511, 269, 1403, 596, 1131, 899, 547, 3277, 547, 14905, 5439, 543, 18862, 267, 2689, 519, 4338, 288, 6744, 4289, 1369, 519, 12891, 5112, 5675, 4741, 630, 10059, 2517, 1177, 322, 269, 1662, 5112, 12975, 270, 7251, 268, 23981, 27902, 4289, 11258, 264, 4092, 538, 519, 4804, 8249, 9184, 538, 519, 2451, 12445, 3046, 269, 634, 1152, 2838, 4199, 585, 713, 7084, 568, 519, 7442, 1108, 269, 901, 1058, 581, 519, 4062, 602, 596, 5097, 946, 547, 2347, 713, 7084, 269, 18520, 2959, 616, 10950, 855, 711, 2556, 267, 543, 789, 949, 711, 581, 1031, 538, 1747, 540, 519, 7442, 1108, 563, 5475, 596, 723, 1224, 519, 7442, 1108, 267, 2328, 513, 476, 6110, 30087, 1557, 538, 799, 596, 912, 8923, 3442, 835, 540, 519, 1739, 7044, 912, 2690, 713, 7084, 267, 596, 786, 7291, 693, 2547, 835, 540, 519, 7440, 602, 596, 3494, 616, 1500, 538, 519, 3381, 596, 5697, 269, 769, 707, 7291, 912, 2080, 568, 606, 1383, 540, 606, 7291, 827, 606, 4661, 689, 519, 3933, 1399, 5124, 21261, 18669, 341, 8721, 269, 22982, 519, 1482, 2497, 1336, 538, 519, 1383, 267, 855, 581, 2386, 547, 1683, 2614, 1469, 547, 4794, 26476, 1176, 2347, 782, 3344, 540, 519, 5401, 563, 2467, 568, 1100, 5934, 2262, 1293, 267, 855, 596, 1590, 1331, 513, 2140, 2985, 543, 4704, 2985, 538, 14905, 2511, 269, 634, 1152, 2838, 4199, 585, 713, 7084, 568, 519, 19180, 2707, 596, 8359, 547, 5659, 269, 901, 1058, 581, 519, 2707, 602, 596, 5097, 946, 547, 2347, 519, 7084, 269, 18520, 2959, 616, 10950, 855, 711, 2556, 267, 543, 789, 1058, 711, 581, 1031, 538, 1747, 540, 519, 4661, 4062, 596, 5697, 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, 522, 519, 2298, 540, 938, 6780, 2533, 269, 3776, 6780, 948, 619, 2327, 602, 789, 4739, 1142, 1957, 5402, 547, 6474, 519, 4170, 540, 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, 4081, 1603, 2533, 547, 2327, 26622, 269, 3776, 14499, 1062, 12958, 24185, 1759, 593, 519, 3601, 540, 1367, 4574, 563, 7069, 14581, 19536, 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, 538, 782, 4574, 269, 1306, 971, 267, 3733, 14581, 19536, 3318, 4081, 5830, 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, 14581, 5675, 7896, 454, 7069, 14581, 19536, 6585, 513, 10639, 585, 1373, 513, 3760, 602, 2488, 1164, 7779, 6780, 1603, 2533, 269, 2353, 596, 991, 547, 798, 568, 1683, 721, 609, 782, 519, 2556, 4170, 540, 519, 1957, 543, 7227, 585, 2298, 2164, 563, 4263, 3733, 14581, 19536, 267, 649, 723, 3810, 11727, 4081, 575, 32203, 945, 786, 2709, 1390, 6351, 2509, 11264, 707, 3594, 269, 3776, 6780, 1603, 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, 6780, 1603, 2533, 538, 782, 4081, 2127, 269, 634, 16134, 610, 6988, 540, 519, 1957, 1281, 711, 1860, 519, 2298, 540, 6780, 1603, 2533, 269, 0, 8266, 523, 547, 2221, 781, 12558, 540, 10060, 14630, 593, 519, 1357, 519, 1482, 1554, 621, 2011, 338, 538, 1164, 7779, 18297, 8301, 1510, 1022, 3063, 18537, 610, 14773, 906, 269, 7994, 513, 1269, 279, 835, 18881, 1780, 267, 610, 6432, 1169, 1554, 585, 513, 1032, 585, 1175, 1269, 1789, 563, 2791, 616, 1934, 454, 300, 3019, 543, 21275, 454, 25823, 1248, 568, 519, 2034, 28376, 4541, 538, 519, 3859, 1062, 2443, 1152, 22800, 18347, 856, 337, 3471, 621, 269, 1656, 621, 12958, 519, 2034, 28376, 6419, 968, 321, 889, 1076, 892, 2443, 513, 3148, 540, 2230, 13856, 676, 21275, 779, 6419, 2361, 269, 898, 779, 9044, 539, 883, 513, 968, 974, 731, 1886, 892, 676, 519, 3859, 2842, 563, 25823, 1248, 779, 6419, 2361, 568, 6383, 2620, 3330, 519, 4541, 269, 589, 4295, 540, 4224, 543, 4496, 4440, 568, 11303, 676, 513, 4494, 540, 17285, 7250, 269, 634, 4295, 543, 519, 7250, 17967, 693, 1114, 3928, 269, 2334, 5932, 513, 3846, 334, 1198, 267, 899, 606, 3167, 5179, 267, 799, 12958, 519, 6419, 2361, 563, 2419, 20149, 5536, 1205, 16290, 538, 519, 2361, 269, 1656, 1082, 540, 1346, 5536, 2097, 689, 661, 1338, 19921, 639, 267, 513, 1507, 7599, 269, 898, 2695, 16630, 2520, 903, 619, 540, 1216, 883, 2230, 269, 24658, 1990, 2355, 930, 540, 519, 1216, 6675, 267, 4758, 873, 606, 3167, 5279, 269, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24174, 335, 4215, 281, 589, 715, 16197, 639, 585, 513, 5680, 540, 7046, 4578, 454, 5804, 13115, 1108, 4804, 454, 347, 27583, 1475, 24174, 335, 4215, 281, 589, 715, 16197, 639, 585, 513, 5680, 540, 7046, 4578, 2008, 347, 10461, 1475, 306, 7238, 1066, 589, 21838, 267, 18281, 645, 6500, 267, 9677, 328, 918, 984, 1791, 990, 267, 808, 839, 2274, 327, 10458, 267, 9400, 7261, 1146, 328, 752, 267, 2098, 778, 776, 594, 1407, 2008, 24174, 335, 4215, 568, 513, 2146, 4674, 547, 1349, 11295, 1344, 689, 9504, 543, 547, 1118, 713, 1344, 2139, 593, 519, 5680, 269, 24766, 335, 4215, 2636, 596, 547, 2307, 10427, 14511, 1996, 14449, 6508, 689, 9504, 543, 547, 3095, 824, 14449, 593, 519, 5680, 547, 9504, 1239, 269, 1284, 4766, 519, 10868, 540, 519, 24766, 335, 4215, 14449, 267, 543, 875, 519, 4611, 1344, 568, 3370, 593, 519, 5680, 585, 1480, 268, 543, 3684, 4621, 18870, 269, 1284, 4766, 930, 6932, 3156, 689, 519, 24766, 335, 4215, 2146, 543, 1397, 875, 3896, 4589, 666, 7520, 24766, 335, 4215, 1543, 1369, 741, 4609, 269, 0, 2026, 851, 540, 1373, 513, 7126, 21727, 532, 1153, 519, 1453, 3180, 519, 5539, 711, 1152, 547, 581, 1434, 2518, 4961, 855, 849, 3262, 519, 5048, 547, 5000, 16764, 547, 581, 1434, 2518, 4961, 30385, 2639, 1607, 3018, 543, 936, 519, 1985, 1906, 4374, 267, 23045, 6588, 557, 786, 581, 1210, 7384, 547, 1711, 2984, 543, 1148, 960, 269, 769, 5729, 476, 276, 649, 723, 19927, 827, 570, 31122, 1686, 267, 538, 5729, 476, 275, 789, 616, 2870, 19821, 923, 543, 538, 30385, 2639, 3383, 2484, 713, 1032, 267, 972, 723, 1044, 513, 1297, 540, 3078, 11555, 11564, 256, 3683, 519, 4081, 1032, 267, 13012, 476, 272, 268, 277, 1142, 3643, 513, 1747, 540, 10847, 269, 769, 519, 4201, 4379, 2165, 267, 5729, 476, 273, 10272, 853, 6754, 779, 5939, 269, 30385, 2639, 4263, 23045, 6588, 557, 649, 1500, 938, 1378, 1883, 15236, 547, 1852, 519, 2780, 269, 1284, 19927, 827, 11387, 543, 3688, 602, 666, 2932, 5201, 269, 2052, 596, 1294, 1018, 1826, 540, 1883, 15236, 649, 1500, 888, 763, 16390, 21518, 11822, 281, 3962, 20194, 2115, 547, 1711, 513, 21173, 13442, 543, 2328, 513, 9910, 521, 15676, 6273, 676, 621, 589, 9910, 521, 15676, 568, 513, 1650, 2854, 538, 909, 547, 476, 1911, 1913, 267, 543, 1590, 723, 513, 4098, 267, 1647, 543, 606, 30385, 316, 0, 763, 25315, 515, 2561, 10407, 906, 454, 2026, 649, 723, 2938, 267, 538, 476, 8146, 277, 267, 519, 1032, 1310, 18279, 623, 1815, 17850, 1185, 16309, 538, 1010, 21936, 547, 4894, 519, 570, 603, 532, 540, 12414, 2354, 267, 12057, 5293, 519, 4090, 748, 25315, 515, 2155, 16615, 2920, 269, 19402, 1287, 267, 6705, 1185, 1044, 8078, 539, 547, 1688, 936, 547, 519, 5783, 835, 20870, 540, 782, 741, 7031, 543, 10683, 3132, 269, 901, 2920, 3526, 539, 602, 5707, 1127, 1058, 581, 862, 3176, 547, 6666, 11033, 282, 547, 1118, 713, 2009, 267, 782, 3338, 543, 3601, 538, 519, 2197, 1131, 581, 23500, 543, 519, 6666, 1871, 540, 5707, 1127, 6059, 269, 4518, 3323, 5612, 282, 519, 2561, 10407, 906, 941, 1759, 593, 5707, 1127, 6976, 1282, 519, 3670, 1296, 18631, 519, 2920, 267, 476, 8146, 280, 1107, 476, 8146, 277, 269, 3973, 3357, 2199, 29492, 543, 11650, 1851, 2244, 14935, 543, 23464, 269, 4107, 941, 2347, 543, 8815, 676, 476, 7277, 272, 267, 1519, 519, 570, 2026, 585, 674, 6918, 7615, 269, 634, 17758, 585, 5101, 2725, 517, 267, 2705, 267, 941, 1851, 519, 1360, 2063, 547, 581, 8815, 543, 621, 7012, 1406, 2394, 4989, 476, 2190, 628, 267, 476, 6977, 272, 602, 606, 6876, 729, 9896, 676, 519, 2244, 14935, 540, 5101, 2725, 517, 269, 5261, 1284, 4060, 540, 13722, 5600, 12426, 267, 7621, 523, 20860, 267, 669, 8529, 519, 5870, 267, 543, 1346, 1459, 3769, 1010, 5067, 267, 540, 519, 1482, 2012, 267, 3627, 12844, 5069, 25020, 267, 3627, 8285, 267, 1287, 693, 23664, 5069, 17980, 267, 6723, 4477, 569, 518, 540, 10370, 1492, 5600, 267, 15656, 22087, 19213, 540, 3162, 12426, 267, 11969, 531, 966, 4883, 540, 667, 2001, 2023, 12426, 543, 3627, 26637, 1408, 2311, 9469, 540, 3794, 550, 1817, 928, 5600, 269, 1284, 1810, 1406, 917, 519, 2601, 585, 519, 8488, 267, 855, 621, 568, 711, 7543, 602, 519, 1234, 3164, 526, 918, 11391, 729, 1869, 16311, 532, 519, 5707, 1127, 547, 799, 646, 729, 13886, 269, 769, 476, 6977, 273, 267, 2143, 7851, 941, 9783, 540, 5101, 2725, 517, 267, 609, 1169, 2361, 267, 3574, 267, 1455, 267, 2679, 267, 1216, 3118, 1299, 322, 3254, 282, 513, 1592, 729, 849, 5950, 540, 519, 2048, 956, 5408, 685, 1107, 1346, 945, 4371, 682, 1162, 689, 519, 1019, 665, 3150, 1107, 543, 519, 8227, 543, 5003, 1512, 540, 1142, 3959, 267, 922, 1858, 267, 946, 543, 23934, 267, 543, 519, 5707, 1127, 547, 581, 6976, 563, 9336, 3959, 568, 22921, 267, 13288, 547, 13366, 538, 519, 1257, 11578, 799, 1592, 519, 8350, 5408, 267, 519, 2048, 1633, 26782, 685, 630, 21865, 519, 8350, 5408, 267, 610, 513, 4557, 656, 945, 10519, 539, 519, 3959, 689, 519, 8350, 5408, 1070, 519, 2048, 21232, 1512, 685, 630, 1492, 16027, 610, 3274, 519, 1268, 23029, 972, 1070, 519, 2012, 540, 519, 3959, 543, 519, 946, 547, 799, 621, 568, 2322, 267, 519, 1858, 538, 14143, 267, 887, 16104, 543, 829, 2583, 267, 10519, 6976, 543, 5707, 1127, 6976, 269, 769, 519, 1318, 11804, 6241, 616, 7396, 519, 2048, 956, 572, 525, 8730, 538, 713, 2013, 966, 4593, 870, 717, 720, 282, 891, 941, 519, 1804, 2244, 14935, 945, 4371, 519, 25755, 1463, 689, 519, 4144, 665, 3150, 267, 689, 7247, 519, 2048, 1633, 14935, 685, 538, 519, 1101, 6241, 10519, 519, 3959, 630, 514, 713, 2013, 267, 11427, 2806, 584, 992, 267, 3627, 26637, 1408, 2311, 9469, 543, 7083, 717, 720, 1916, 12552, 547, 513, 9886, 676, 519, 11595, 20769, 6670, 8750, 267, 543, 609, 948, 689, 519, 24900, 16680, 8433, 267, 5101, 2725, 517, 3778, 6828, 814, 1044, 2111, 547, 9192, 519, 7851, 609, 519, 1344, 538, 519, 1257, 543, 4159, 538, 1469, 875, 519, 25110, 729, 3484, 539, 267, 676, 7247, 267, 543, 945, 11262, 519, 2244, 1284, 616, 849, 2111, 547, 6772, 599, 1344, 689, 2663, 7851, 267, 1312, 1346, 1500, 676, 519, 18103, 333, 766, 11752, 543, 513, 19588, 540, 10040, 9042, 7851, 267, 543, 3976, 3950, 2242, 538, 938, 6683, 936, 513, 2540, 543, 513, 3368, 269, 901, 4786, 568, 519, 4528, 649, 723, 3812, 540, 519, 25315, 515, 2561, 10407, 618, 4786, 540, 713, 1858, 267, 609, 519, 4408, 540, 1142, 3959, 6772, 4660, 267, 607, 1134, 607, 519, 946, 547, 799, 621, 729, 2322, 269, 10934, 476, 3066, 2982, 519, 5003, 4536, 540, 782, 519, 11396, 538, 476, 6977, 273, 269, 0, 2791, 2461, 538, 5127, 543, 519, 15372, 9219, 4422, 1055, 547, 12687, 596, 909, 585, 960, 269, 1411, 6467, 621, 1055, 855, 3136, 547, 2482, 538, 5127, 269, 32438, 543, 4606, 3459, 547, 1628, 909, 899, 9160, 267, 29855, 4743, 602, 1175, 8952, 596, 1869, 18413, 538, 519, 1482, 2990, 11842, 267, 3206, 2436, 621, 779, 2965, 4502, 3478, 909, 2221, 269, 1411, 6430, 547, 1413, 998, 707, 6049, 593, 1514, 2923, 543, 2592, 540, 2828, 3168, 6126, 543, 8746, 859, 3183, 4514, 4606, 540, 18354, 543, 9854, 269, 1411, 5555, 6430, 547, 1289, 538, 7210, 543, 711, 979, 547, 960, 267, 607, 596, 1745, 29267, 582, 17300, 547, 798, 4376, 693, 782, 269, 3509, 4606, 540, 27945, 1145, 543, 27303, 1145, 1628, 909, 1369, 596, 607, 596, 3136, 547, 2482, 538, 5127, 269, 1411, 5555, 6430, 547, 979, 1394, 547, 3207, 543, 6108, 1034, 540, 519, 1554, 2476, 689, 1866, 267, 9678, 267, 4743, 968, 24105, 3330, 5608, 8572, 547, 2911, 547, 4896, 827, 875, 596, 1745, 563, 11764, 1067, 949, 581, 1934, 2705, 267, 4965, 5540, 1082, 1004, 779, 2729, 538, 865, 1082, 2081, 7488, 540, 519, 4005, 269, 634, 1657, 6227, 1175, 835, 14745, 540, 875, 4965, 949, 1860, 707, 4555, 267, 4606, 25467, 1560, 267, 331, 3151, 4690, 538, 1018, 596, 946, 547, 2972, 563, 2467, 616, 1713, 824, 2589, 540, 4965, 912, 1892, 744, 557, 11661, 610, 9561, 14031, 454, 1892, 6431, 11962, 31191, 543, 24074, 267, 14331, 267, 25574, 610, 9667, 2042, 454, 1892, 6431, 11962, 18354, 267, 14221, 1145, 610, 4606, 540, 4502, 16531, 454, 1892, 2672, 20141, 4555, 610, 8942, 454, 1892, 700, 3151, 4690, 538, 12348, 543, 5418, 553, 9092, 2238, 1519, 3023, 454, 1892, 30975, 1818, 3664, 543, 23622, 267, 19551, 1469, 454, 32507, 14396, 2636, 721, 547, 1174, 811, 827, 519, 2634, 543, 875, 621, 1568, 269, 3194, 5267, 602, 14479, 568, 519, 3095, 543, 1883, 547, 1620, 4965, 269, 898, 2306, 2631, 538, 513, 1259, 602, 938, 11994, 609, 519, 1158, 1472, 721, 616, 606, 3742, 1184, 676, 1950, 4205, 538, 519, 2634, 269, 634, 993, 17789, 323, 8403, 568, 851, 540, 519, 18215, 545, 1062, 799, 568, 11251, 2620, 538, 519, 2634, 799, 568, 5532, 543, 2404, 609, 519, 4664, 851, 540, 519, 2634, 269, 1452, 1331, 4250, 267, 1928, 267, 10845, 543, 865, 593, 269, 898, 568, 1634, 602, 2534, 568, 2362, 538, 519, 993, 17789, 323, 8403, 950, 2576, 7092, 689, 4965, 269, 634, 1318, 21571, 540, 519, 2634, 568, 1141, 7965, 8451, 269, 898, 3157, 16496, 4555, 267, 4664, 267, 543, 875, 596, 13498, 1272, 267, 2059, 609, 519, 1928, 269, 1403, 972, 568, 4057, 2702, 543, 14479, 689, 519, 21712, 30085, 540, 519, 18215, 545, 1062, 883, 993, 17789, 323, 8403, 972, 568, 10171, 602, 621, 568, 2362, 538, 519, 1318, 2427, 540, 519, 2634, 547, 581, 2111, 547, 10038, 2539, 3344, 540, 519, 2634, 563, 296, 723, 1995, 540, 2324, 609, 7218, 945, 7985, 689, 4965, 543, 1970, 30181, 799, 1860, 741, 1272, 1547, 594, 666, 2263, 543, 1397, 596, 2081, 538, 799, 547, 1689, 519, 3270, 543, 11444, 540, 707, 2634, 267, 865, 596, 1447, 2693, 547, 1745, 1970, 30181, 543, 4965, 563, 296, 666, 581, 30409, 593, 476, 5881, 280, 2568, 476, 279, 3953, 276, 5952, 610, 3842, 1250, 3896, 8940, 19544, 7676, 6011, 1815, 1735, 18522, 16691, 16896, 454, 296, 1131, 849, 899, 547, 2446, 519, 13249, 2621, 538, 5507, 713, 1032, 269, 1703, 616, 1082, 5646, 18522, 2533, 602, 616, 5356, 543, 3246, 5646, 18522, 585, 1346, 945, 723, 1044, 4299, 269, 594, 1131, 899, 547, 2709, 1250, 27811, 1623, 12949, 625, 543, 4555, 547, 1346, 945, 4503, 1920, 2818, 540, 6068, 3283, 610, 14754, 519, 15265, 2621, 538, 5507, 713, 1032, 563, 5472, 1250, 14696, 454, 296, 3357, 547, 670, 7676, 2348, 1970, 6788, 540, 1018, 5646, 18522, 798, 585, 803, 267, 855, 670, 7676, 729, 22205, 543, 1620, 689, 519, 1101, 8400, 269, 634, 7886, 2968, 519, 5031, 540, 1250, 3018, 543, 594, 1131, 10836, 4743, 899, 513, 5458, 2597, 1185, 1044, 24850, 543, 1745, 25273, 543, 4126, 269, 670, 7676, 5795, 803, 519, 1379, 547, 2070, 1919, 689, 513, 1114, 5133, 543, 814, 5280, 803, 2972, 519, 1434, 1919, 538, 1272, 1586, 269, 4634, 1498, 713, 3184, 814, 1044, 17251, 267, 594, 1131, 711, 19292, 547, 3914, 856, 547, 670, 7676, 1586, 1058, 4376, 1689, 538, 519, 2104, 269, 11289, 596, 585, 782, 707, 948, 2336, 12552, 585, 782, 519, 942, 596, 5795, 803, 269, 594, 2731, 15874, 621, 267, 543, 596, 5280, 803, 865, 1454, 269, 11109, 513, 3760, 1141, 594, 666, 3717, 543, 581, 8885, 729, 5863, 543, 2731, 5280, 803, 547, 3579, 1055, 269, 11289, 596, 585, 6947, 543, 2760, 32198, 803, 269, 1411, 7608, 803, 585, 519, 1483, 803, 269, 594, 1745, 4378, 10696, 547, 723, 1044, 2111, 547, 2911, 547, 596, 1169, 3018, 267, 543, 594, 1589, 922, 7168, 6654, 602, 594, 786, 4413, 938, 7886, 269, 634, 7886, 941, 519, 5031, 540, 1250, 3018, 269, 1411, 2731, 3576, 519, 2597, 1055, 1250, 17525, 267, 543, 594, 666, 2760, 9684, 596, 2614, 269, 0, 19425, 3538, 675, 1315, 4873, 476, 2190, 267, 476, 1001, 279, 1315, 4586, 2691, 649, 2911, 827, 2413, 8075, 267, 649, 3277, 547, 1346, 602, 616, 3710, 2687, 547, 519, 5767, 3466, 269, 634, 2413, 3350, 538, 6189, 3459, 538, 519, 2038, 5756, 540, 519, 14206, 2540, 269, 5071, 619, 540, 519, 942, 6743, 585, 2081, 547, 1118, 6189, 12863, 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 ]
[ 1840, 547, 7499, 3377, 543, 11815, 2305, 267, 543, 1004, 1369, 519, 9443, 602, 616, 1514, 519, 16601, 1983, 547, 9794, 543, 1683, 6169, 8308, 267, 8231, 958, 7132, 538, 1603, 269, 7991, 29551, 2861, 1382, 6030, 543, 2489, 1857, 14172, 910, 528, 14314, 2090, 1683, 7399, 585, 10453, 547, 1445, 29050, 849, 547, 11604, 9691, 689, 519, 10319, 5650, 563, 763, 6301, 538, 5824, 2136, 2276, 5525, 454, 763, 1292, 630, 1015, 6030, 267, 476, 2412, 17099, 264, 13976, 2390, 4295, 960, 602, 568, 15834, 5824, 1977, 5525, 543, 6703, 513, 931, 9892, 2509, 519, 1353, 540, 5053, 543, 5924, 14082, 269, 8490, 538, 519, 1648, 540, 713, 4295, 267, 10453, 5205, 1062, 540, 2090, 17640, 547, 5053, 3013, 543, 5924, 8478, 998, 519, 5773, 540, 19795, 267, 1148, 267, 5428, 267, 9297, 5313, 2229, 267, 1686, 5339, 1568, 267, 15257, 543, 7260, 7260, 14364, 267, 998, 6030, 2139, 538, 28337, 15523, 543, 3292, 269, 5221, 540, 519, 4644, 540, 21337, 21669, 2090, 3330, 519, 2872, 540, 5824, 2090, 602, 616, 7819, 32407, 723, 547, 3274, 1491, 513, 1295, 636, 636, 540, 835, 1982, 538, 713, 2872, 269, 700, 28940, 11363, 2875, 14194, 6665, 518, 29013, 12352, 547, 5750, 519, 1318, 1225, 14152, 1576, 998, 519, 1034, 1271, 10704, 593, 10453, 8072, 3872, 543, 1071, 268, 22793, 18653, 563, 268, 700, 3008, 476, 5611, 454, 268, 4033, 4295, 2115, 281, 700, 3008, 476, 7742, 543, 700, 3008, 476, 20542, 281, 7167, 7723, 454, 5472, 10453, 1590, 10123, 9096, 5722, 1528, 1161, 912, 18314, 23408, 6030, 630, 552, 3052, 1421, 5339, 2090, 267, 3140, 2090, 267, 1514, 2090, 264, 538, 5053, 610, 14082, 282, 3622, 891, 568, 2469, 547, 581, 1282, 519, 476, 1220, 7400, 1496, 279, 17099, 2639, 268, 5565, 6030, 950, 596, 1413, 693, 519, 9443, 799, 616, 1514, 324, 3052, 1421, 15257, 267, 19795, 267, 5313, 5313, 2229, 267, 9297, 5148, 3921, 27274, 891, 616, 2469, 547, 581, 538, 519, 476, 1220, 7400, 1496, 279, 17099, 2639, 268, 2290, 1362, 602, 568, 13840, 25700, 5824, 3013, 267, 2356, 538, 519, 476, 1220, 1377, 1496, 275, 17099, 2639, 268, 2290, 1576, 602, 7740, 1472, 519, 6575, 538, 270, 1993, 5824, 3013, 630, 691, 1686, 267, 7260, 2090, 267, 7260, 14364, 267, 5428, 5148, 3335, 713, 568, 693, 519, 476, 1220, 7400, 1496, 275, 17099, 2639, 268, 2290, 1982, 593, 5824, 3013, 1282, 519, 476, 4968, 7400, 282, 713, 1576, 1522, 581, 538, 1175, 827, 1022, 1852, 1496, 275, 17099, 2639, 8170, 519, 5722, 6030, 267, 513, 1295, 636, 636, 540, 835, 1590, 13404, 593, 519, 8653, 1354, 14412, 630, 552, 3052, 1421, 840, 268, 9264, 276, 264, 7132, 835, 1590, 1445, 593, 21337, 21669, 2090, 563, 2414, 1711, 25843, 2066, 713, 5044, 540, 5049, 267, 649, 18783, 10453, 547, 960, 1134, 609, 741, 2101, 9666, 619, 267, 8939, 741, 5722, 6030, 547, 3132, 513, 1445, 602, 568, 7214, 269, 6270, 535, 1539, 666, 581, 912, 268, 634, 15122, 630, 989, 552, 3052, 1421, 5198, 7933, 5362, 1602, 320, 267, 30724, 2940, 640, 267, 4008, 270, 16303, 7081, 267, 5824, 573, 3547, 267, 9194, 270, 9404, 12568, 994, 268, 22127, 630, 989, 552, 3052, 1421, 18487, 267, 1098, 321, 4650, 11486, 4650, 2090, 267, 2199, 994, 268, 7843, 1602, 531, 630, 989, 552, 3052, 1421, 840, 268, 9264, 276, 267, 476, 866, 628, 270, 736, 628, 2540, 267, 4207, 994, 763, 19724, 538, 21337, 21669, 5525, 454, 763, 1507, 538, 21337, 21669, 2090, 568, 1500, 689, 3670, 6030, 630, 2190, 17099, 264, 10771, 1883, 7214, 543, 27696, 7207, 281, 1995, 540, 519, 3177, 267, 30427, 5638, 540, 5824, 543, 21337, 21669, 3013, 282, 2565, 6278, 609, 5053, 607, 513, 1893, 540, 2856, 543, 1514, 5663, 282, 513, 3177, 267, 7214, 543, 15834, 1702, 827, 513, 10821, 1858, 540, 32407, 543, 1295, 832, 1369, 519, 1062, 563, 268, 2290, 1982, 883, 519, 2250, 10639, 585, 5824, 3013, 543, 5924, 519, 12144, 454, 268, 2290, 23408, 610, 1514, 5872, 1982, 538, 5053, 630, 17884, 958, 1282, 519, 476, 1220, 7400, 994, 268, 700, 3008, 476, 20542, 281, 7167, 7723, 454, 5472, 10453, 10123, 2115, 547, 9096, 1614, 21337, 21669, 25700, 6030, 602, 11886, 891, 10009, 7569, 912, 8563, 28674, 397, 508, 513, 1295, 636, 636, 540, 835, 1982, 1369, 519, 1514, 9443, 267, 3335, 538, 519, 476, 1220, 7400, 630, 19611, 267, 661, 4596, 267, 717, 10976, 267, 590, 8016, 267, 670, 4306, 994, 8563, 28674, 397, 508, 513, 1295, 636, 636, 540, 835, 1982, 1369, 519, 23408, 270, 11301, 267, 2356, 1282, 519, 476, 1220, 7400, 630, 2752, 295, 267, 14160, 307, 267, 667, 3198, 267, 17628, 267, 9501, 301, 267, 5990, 994, 303, 1575, 2812, 949, 1293, 835, 1982, 538, 21337, 21669, 2090, 689, 1776, 12866, 6280, 3919, 4724, 519, 1507, 269, 0, 8005, 1654, 1729, 525, 12014, 888, 763, 1379, 547, 1654, 1729, 12014, 6013, 609, 519, 5518, 540, 519, 2136, 2276, 269, 1879, 513, 3915, 814, 1044, 5293, 676, 1312, 519, 5600, 540, 24929, 543, 519, 14130, 267, 621, 568, 2366, 547, 519, 5518, 585, 7156, 269, 634, 5518, 814, 519, 4781, 547, 2901, 1129, 519, 3915, 883, 1876, 610, 1654, 1729, 621, 563, 288, 1654, 1729, 568, 519, 5518, 781, 6101, 18349, 540, 513, 3915, 269, 1635, 1654, 1729, 532, 513, 3915, 267, 519, 5518, 6920, 741, 30671, 547, 1129, 621, 883, 1876, 269, 901, 666, 2049, 585, 1585, 4128, 267, 971, 607, 24895, 609, 519, 1543, 540, 519, 3915, 267, 4145, 827, 922, 11156, 1275, 267, 610, 513, 3661, 602, 621, 568, 711, 538, 519, 1655, 1719, 540, 519, 2197, 563, 5629, 513, 3915, 568, 1654, 1729, 539, 267, 621, 568, 8120, 547, 6837, 609, 519, 5518, 781, 1843, 687, 269, 2311, 713, 1448, 267, 6837, 814, 519, 4316, 547, 556, 29264, 519, 3915, 269, 1403, 1312, 519, 5600, 540, 24929, 543, 519, 14130, 8917, 676, 513, 1079, 22188, 5354, 547, 936, 20183, 519, 1654, 1729, 267, 519, 3915, 666, 1869, 1831, 1876, 5103, 519, 5518, 781, 1843, 687, 563, 763, 1379, 540, 519, 1654, 1729, 5713, 607, 513, 1713, 2638, 593, 519, 15424, 1184, 267, 3850, 519, 5518, 547, 3310, 610, 3625, 9086, 269, 898, 568, 835, 540, 519, 6127, 602, 15387, 513, 3666, 540, 1379, 1063, 519, 10324, 543, 15424, 8371, 540, 519, 5313, 2229, 269, 0, 300, 20667, 5624, 7854, 10565, 8916, 543, 2189, 8134, 602, 723, 19832, 3425, 585, 5553, 269, 1452, 1482, 7823, 5624, 1683, 2486, 609, 513, 3099, 540, 5370, 543, 2533, 267, 971, 607, 1216, 610, 16351, 2230, 269, 1717, 267, 789, 849, 10460, 9645, 10898, 543, 4220, 267, 799, 616, 28978, 538, 519, 2796, 540, 2916, 543, 3702, 550, 2825, 1689, 269, 2983, 14521, 1670, 3157, 538, 519, 7823, 1062, 910, 971, 607, 27224, 18956, 543, 519, 4611, 5250, 540, 12647, 267, 8337, 543, 13621, 540, 7989, 2378, 15543, 4672, 267, 26949, 1938, 267, 4224, 17517, 543, 16095, 6503, 338, 910, 616, 1419, 5702, 13745, 609, 1142, 824, 269, 1358, 666, 1860, 519, 2062, 1633, 593, 1114, 8901, 543, 13796, 10253, 936, 1896, 1016, 9912, 338, 607, 865, 10777, 22107, 1228, 2360, 543, 1291, 547, 3441, 267, 538, 519, 10782, 2013, 1256, 547, 15166, 1886, 1127, 269, 634, 595, 2444, 1228, 2324, 1895, 13290, 547, 3565, 547, 519, 1620, 540, 519, 2520, 14521, 1670, 1184, 3347, 267, 855, 849, 540, 519, 7222, 1480, 10276, 1444, 4205, 267, 538, 29990, 2127, 543, 3976, 547, 2087, 519, 4493, 585, 606, 7850, 7829, 540, 519, 7222, 3255, 543, 4220, 269, 901, 3340, 519, 4999, 540, 1114, 2841, 1878, 543, 2409, 269, 769, 1880, 267, 519, 1445, 568, 849, 593, 519, 4483, 540, 1702, 543, 1983, 547, 6267, 540, 1114, 2157, 563, 19061, 338, 540, 519, 595, 2444, 1228, 2324, 1895, 454, 5978, 1382, 2238, 666, 581, 19882, 883, 2947, 3982, 2127, 281, 7849, 18171, 1841, 9351, 267, 3794, 18432, 6261, 518, 580, 331, 18432, 9351, 2073, 4325, 548, 1108, 9351, 6902, 16661, 532, 9351, 2073, 543, 2494, 268, 5319, 1444, 9351, 269, 595, 2444, 1228, 781, 1699, 1382, 3785, 616, 14102, 547, 513, 1713, 6708, 676, 5007, 7616, 267, 543, 930, 3785, 616, 849, 24323, 14102, 269, 1284, 28111, 25422, 609, 4891, 538, 519, 4610, 540, 11585, 267, 5726, 267, 2825, 4027, 267, 26216, 267, 17453, 4702, 267, 20569, 267, 6172, 26331, 267, 543, 2067, 10898, 1382, 269, 769, 1840, 267, 649, 723, 513, 2647, 2039, 540, 3486, 21769, 711, 1152, 609, 15231, 2477, 267, 855, 849, 609, 4891, 1472, 519, 1158, 269, 3776, 1382, 2127, 3382, 7823, 4525, 5001, 267, 609, 1699, 17122, 2798, 538, 519, 32595, 267, 519, 9341, 1656, 525, 543, 519, 24272, 30510, 269, 0, 2026, 594, 6557, 3478, 4712, 585, 1250, 1101, 7552, 547, 3567, 267, 594, 4941, 547, 2671, 930, 4277, 5013, 827, 19519, 3567, 547, 1205, 596, 6273, 585, 707, 7552, 256, 769, 713, 2376, 267, 649, 786, 5490, 883, 930, 540, 519, 1034, 4241, 543, 4277, 5013, 827, 19519, 602, 786, 3986, 707, 7071, 540, 713, 6909, 2749, 563, 8448, 3567, 15080, 454, 15517, 532, 12700, 827, 547, 5652, 334, 3567, 454, 27717, 14623, 30978, 12700, 454, 27717, 14623, 267, 519, 7524, 3854, 2749, 540, 3567, 267, 568, 513, 4241, 10278, 602, 24643, 6634, 540, 14666, 689, 1472, 519, 1158, 630, 1889, 1373, 835, 540, 873, 1040, 2060, 922, 2189, 11100, 540, 29678, 543, 2245, 267, 19519, 3091, 513, 30162, 540, 9159, 2833, 585, 596, 547, 2263, 269, 3245, 922, 14297, 10754, 543, 26009, 1236, 903, 322, 1905, 619, 547, 922, 22471, 559, 10651, 543, 8978, 17633, 267, 713, 1558, 24227, 568, 513, 14951, 7708, 557, 540, 4277, 5013, 602, 616, 2386, 547, 26675, 1022, 2951, 518, 563, 30440, 827, 547, 5652, 334, 454, 27717, 14623, 568, 519, 1158, 779, 1034, 29245, 1558, 24227, 267, 609, 936, 476, 4391, 2929, 7264, 563, 27717, 14623, 1031, 547, 581, 513, 1507, 10068, 8498, 1282, 519, 3798, 334, 1974, 454, 292, 4777, 11270, 281, 19519, 267, 1287, 1634, 607, 3798, 334, 267, 6039, 607, 519, 2797, 543, 2686, 4099, 540, 3567, 1282, 519, 3798, 334, 11270, 630, 8182, 274, 268, 5908, 279, 1040, 634, 2749, 4810, 1713, 2208, 543, 1646, 896, 519, 4341, 540, 519, 15480, 1872, 11867, 695, 690, 684, 622, 563, 763, 27062, 9351, 779, 12025, 281, 19519, 779, 5318, 23195, 1858, 568, 1753, 547, 811, 982, 476, 4391, 2929, 1004, 267, 1818, 621, 519, 1034, 29245, 4683, 1858, 538, 519, 1158, 269, 898, 779, 22406, 2450, 543, 2551, 5860, 1711, 513, 6422, 543, 7524, 5790, 602, 11225, 519, 2749, 779, 1648, 563, 4462, 1664, 9335, 18780, 281, 19519, 779, 10754, 723, 10578, 4408, 602, 2992, 519, 2749, 779, 1686, 543, 2528, 269, 3245, 519, 4583, 717, 514, 5633, 10918, 8664, 547, 519, 7524, 570, 1389, 327, 7534, 9335, 538, 4498, 1690, 4157, 340, 267, 1142, 8265, 11438, 922, 1378, 1650, 543, 19259, 267, 5356, 513, 19214, 883, 1114, 18125, 540, 19519, 779, 3961, 563, 763, 2749, 779, 1016, 3118, 1062, 568, 835, 540, 519, 1034, 3573, 543, 3608, 538, 519, 1158, 267, 23695, 547, 6634, 540, 862, 26407, 1169, 1554, 563, 27717, 14623, 18975, 267, 6273, 676, 519, 661, 858, 601, 18975, 267, 568, 606, 11599, 19506, 602, 3091, 18198, 5784, 540, 519, 2749, 563, 27717, 14623, 568, 513, 10093, 585, 2029, 12439, 267, 609, 5969, 12967, 19269, 543, 10124, 7683, 6932, 689, 519, 2749, 779, 10509, 2872, 563, 763, 2749, 779, 642, 2056, 6191, 616, 519, 1034, 2189, 256, 2060, 513, 2647, 3099, 540, 2472, 267, 1519, 3905, 6980, 267, 4195, 3132, 267, 543, 1256, 16813, 22641, 553, 563, 27717, 14623, 18557, 1633, 543, 19519, 18557, 5353, 320, 4482, 811, 8436, 12422, 982, 1022, 824, 6249, 6288, 538, 3567, 563, 763, 2749, 779, 22269, 19806, 558, 4005, 568, 9976, 609, 554, 534, 9564, 267, 2757, 8768, 268, 1613, 532, 6105, 4371, 538, 11614, 543, 10651, 563, 15517, 532, 5013, 827, 547, 5652, 334, 454, 27717, 14623, 814, 513, 5318, 3060, 540, 476, 714, 752, 28569, 267, 2757, 5545, 1435, 338, 267, 1141, 17137, 5531, 547, 1514, 1125, 543, 2972, 1507, 10824, 540, 8949, 1426, 269, 17785, 281, 519, 1034, 2442, 3283, 616, 538, 1744, 514, 329, 4157, 340, 968, 332, 25514, 26738, 892, 543, 968, 326, 1245, 523, 575, 2967, 892, 10754, 563, 763, 17578, 4157, 25702, 12551, 10369, 729, 882, 11343, 547, 23625, 657, 340, 10369, 538, 476, 1001, 279, 267, 855, 621, 1869, 3788, 513, 2442, 10278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 519, 1349, 1657, 267, 2519, 593, 13488, 1315, 2817, 20088, 543, 30482, 24601, 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, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 17281, 3440, 3957, 15207, 269, 15207, 6068, 4730, 17281, 609, 1010, 2828, 267, 519, 8322, 21103, 3957, 25599, 344, 543, 519, 2121, 3957, 715, 2088, 269, 1809, 3006, 267, 15207, 3893, 18901, 950, 646, 1185, 547, 1404, 1996, 8273, 11084, 945, 941, 6793, 982, 1864, 269, 1261, 1131, 1419, 6336, 519, 6474, 1354, 621, 1256, 3323, 1317, 646, 2219, 646, 7948, 1405, 3094, 780, 3080, 1554, 267, 1247, 2921, 513, 2736, 896, 519, 3636, 3141, 267, 15207, 4280, 25599, 344, 267, 834, 1692, 798, 594, 1831, 2178, 899, 1346, 2462, 11084, 12482, 305, 1157, 344, 14452, 267, 834, 18455, 2178, 3884, 1405, 2141, 827, 1373, 9308, 2462, 610, 3532, 267, 15207, 269, 898, 781, 849, 827, 2348, 6043, 910, 799, 1797, 536, 23395, 1394, 1310, 6849, 7965, 3010, 20755, 3240, 6743, 11821, 267, 865, 25599, 344, 6045, 2417, 267, 834, 5331, 952, 596, 5734, 513, 3529, 282, 596, 1522, 1745, 8909, 267, 1318, 286, 1809, 1287, 267, 2899, 2576, 26717, 596, 909, 543, 25001, 596, 1586, 267, 596, 7340, 782, 827, 621, 543, 2972, 519, 3014, 15323, 20755, 3240, 21330, 267, 4098, 547, 1174, 269, 834, 3383, 267, 875, 798, 594, 1451, 547, 581, 811, 14388, 8119, 646, 4280, 780, 301, 2088, 8678, 519, 6643, 543, 1767, 267, 834, 11039, 267, 1250, 3659, 5617, 548, 267, 519, 11350, 267, 5143, 803, 602, 1352, 4121, 547, 1445, 1200, 1648, 593, 1018, 1352, 4941, 3079, 540, 20468, 827, 1919, 1352, 7948, 1405, 1852, 269, 9320, 602, 786, 960, 585, 596, 1932, 267, 15207, 15323, 4504, 29098, 676, 519, 2856, 267, 15207, 4956, 547, 2285, 621, 513, 2119, 269, 6969, 1169, 6474, 267, 646, 6806, 1010, 4064, 543, 16545, 5128, 18644, 1390, 15833, 543, 1818, 1010, 17837, 2196, 1472, 519, 5480, 269, 1879, 5185, 609, 2352, 3871, 267, 971, 607, 513, 2182, 4196, 610, 513, 3728, 18545, 267, 15207, 15422, 715, 2088, 781, 1913, 543, 8359, 547, 13404, 593, 13059, 519, 3440, 3927, 2864, 982, 4250, 532, 5821, 780, 306, 869, 569, 855, 15983, 267, 15207, 8068, 9283, 538, 1010, 29863, 269, 4634, 1498, 646, 7012, 1405, 519, 7887, 610, 16999, 267, 646, 1336, 7772, 538, 1565, 689, 1142, 4161, 543, 3395, 1732, 1169, 2582, 1554, 269, 3571, 2318, 10182, 3262, 2429, 519, 17281, 5480, 267, 11121, 1866, 547, 9784, 741, 6418, 4222, 543, 6043, 1932, 269, 1656, 1034, 11932, 267, 15207, 7691, 602, 646, 4769, 1405, 991, 547, 5635, 5128, 547, 4896, 3116, 1107, 646, 729, 2614, 267, 4010, 607, 646, 729, 780, 5804, 602, 4090, 4464, 267, 8164, 15207, 11402, 14488, 267, 646, 6785, 2620, 1524, 602, 646, 1185, 519, 1379, 1369, 5128, 547, 7753, 1022, 21677, 1272, 28520, 693, 1864, 269, 2353, 7064, 547, 2679, 6043, 998, 8026, 1582, 25298, 543, 8404, 267, 1175, 899, 25599, 344, 543, 715, 2088, 6026, 1864, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6701, 596, 513, 17281, 6345, 3168, 547, 1491, 707, 3014, 547, 519, 1985, 1377, 286, 3973, 596, 991, 547, 1376, 9878, 3007, 547, 707, 2790, 7041, 269, 10076, 32297, 568, 513, 2629, 3815, 538, 17281, 267, 543, 621, 666, 1611, 519, 3017, 1063, 10888, 543, 9561, 269, 769, 713, 2376, 267, 649, 786, 2263, 930, 4388, 543, 2994, 585, 15508, 8600, 585, 17281, 13292, 269, 3245, 14839, 2553, 547, 5883, 4160, 267, 649, 786, 3382, 3388, 596, 991, 547, 917, 547, 1205, 538, 519, 7997, 543, 1685, 693, 707, 1655, 593, 519, 5480, 269, 1924, 267, 17945, 707, 8322, 21103, 9395, 543, 1205, 4712, 547, 1491, 707, 2790, 3014, 547, 1007, 15627, 2336, 8139, 519, 11957, 540, 10076, 19369, 538, 570, 12447, 454, 3963, 10076, 19369, 25198, 538, 570, 12447, 454, 268, 10076, 7041, 4249, 513, 2629, 1909, 538, 519, 1967, 540, 513, 17281, 6345, 563, 268, 570, 12447, 13292, 616, 711, 1175, 2168, 733, 3949, 267, 855, 849, 2790, 12959, 563, 268, 634, 2247, 540, 513, 6345, 666, 723, 513, 1713, 1764, 593, 741, 2773, 267, 543, 1697, 2790, 7041, 666, 948, 873, 547, 6023, 519, 2604, 543, 3251, 5059, 1282, 555, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4910, 559, 1466, 8490, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 7763, 643, 1049, 1299, 6184, 2869, 1049, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 476, 280, 281, 6355, 18264, 22761, 910, 1520, 17518, 547, 12333, 11870, 338, 543, 8836, 11576, 6638, 692, 296, 269, 4985, 692, 2026, 14051, 5170, 547, 3337, 519, 1870, 5251, 267, 4648, 1590, 6330, 5051, 3309, 960, 5054, 269, 901, 3340, 811, 982, 2930, 6791, 282, 621, 7569, 2686, 8417, 267, 3929, 4987, 267, 543, 15984, 547, 3318, 8155, 269, 769, 713, 3184, 267, 649, 786, 2263, 1870, 28972, 607, 606, 1898, 2460, 540, 14375, 2792, 543, 2078, 2679, 1369, 3906, 269, 1635, 6313, 1883, 3741, 543, 4052, 3156, 267, 649, 2832, 547, 16491, 1053, 609, 519, 1702, 543, 1983, 2556, 547, 8011, 538, 2221, 781, 1950, 1870, 1158, 780, 2862, 269, 634, 11957, 540, 6355, 18264, 22761, 692, 288, 269, 20223, 6355, 18264, 22761, 692, 19968, 28972, 4016, 547, 513, 1305, 540, 13998, 11807, 5615, 543, 9821, 602, 1827, 4205, 1063, 2043, 538, 3318, 5468, 630, 30560, 761, 339, 267, 476, 1001, 279, 1040, 1452, 4808, 3895, 2463, 267, 3972, 267, 543, 9316, 1851, 9164, 1247, 4509, 513, 1377, 540, 1106, 1275, 3617, 585, 10647, 1870, 269, 4197, 543, 8026, 1697, 1870, 28972, 666, 1291, 547, 4824, 9036, 3347, 267, 2799, 7607, 267, 543, 8476, 4876, 3255, 780, 289, 269, 21744, 31071, 5915, 16623, 692, 763, 2413, 9036, 568, 6353, 676, 3395, 4763, 267, 6552, 5698, 267, 543, 8465, 20319, 269, 1306, 513, 1267, 267, 2757, 8155, 949, 1100, 3476, 4019, 24080, 269, 1280, 3236, 267, 6101, 30933, 814, 2016, 1259, 547, 13680, 10571, 9479, 538, 1082, 3549, 267, 543, 5691, 11401, 2154, 1007, 3652, 3823, 2228, 2623, 543, 2029, 946, 630, 298, 636, 571, 1299, 966, 4883, 545, 558, 2041, 267, 476, 1220, 279, 1040, 4475, 267, 13916, 543, 6024, 1565, 1831, 2565, 3334, 540, 13215, 1870, 28972, 780, 7656, 269, 6206, 14362, 540, 6355, 18264, 22761, 692, 288, 269, 9442, 10341, 692, 19931, 11913, 543, 26068, 2792, 3029, 519, 5748, 540, 3811, 1870, 4205, 269, 15765, 6947, 267, 2312, 13994, 1637, 267, 13801, 20261, 267, 543, 6568, 948, 3715, 29037, 267, 1628, 3972, 267, 543, 2061, 21390, 269, 5015, 267, 9301, 2686, 16082, 538, 2792, 6163, 666, 7413, 1761, 7526, 543, 6536, 13784, 630, 8867, 2426, 1299, 15651, 267, 476, 1001, 277, 6393, 289, 269, 623, 9417, 7081, 543, 5384, 5004, 692, 4910, 1051, 585, 1866, 262, 942, 9727, 7029, 267, 10727, 267, 543, 3318, 1143, 269, 27336, 1516, 3735, 547, 11401, 610, 17528, 547, 2743, 21852, 14944, 1149, 17258, 543, 12490, 2324, 3347, 269, 1677, 2327, 14047, 7081, 267, 1544, 6619, 676, 8051, 585, 2951, 942, 267, 6808, 267, 543, 6397, 17799, 630, 294, 13519, 29671, 1299, 25347, 26709, 267, 476, 2735, 278, 1040, 3958, 267, 4259, 10853, 6788, 543, 3246, 2834, 10311, 593, 1788, 3356, 2337, 4383, 8639, 262, 9027, 725, 543, 11942, 513, 10319, 5790, 780, 290, 269, 667, 816, 32011, 543, 9608, 2561, 30970, 692, 7343, 12037, 30933, 31825, 2463, 585, 13951, 267, 32283, 619, 267, 543, 7218, 269, 2755, 930, 6080, 9784, 13680, 5957, 267, 19703, 24015, 3788, 2629, 1282, 1271, 2621, 267, 7817, 11564, 267, 610, 1857, 23079, 269, 1879, 538, 8969, 267, 20093, 593, 519, 2427, 540, 11122, 32236, 543, 2015, 2188, 971, 607, 2754, 2528, 267, 2872, 4441, 267, 543, 10923, 4087, 630, 30821, 3205, 1299, 1975, 32304, 267, 476, 1001, 279, 1040, 24367, 1434, 2123, 9882, 543, 25462, 849, 8309, 547, 513, 25509, 3239, 543, 27711, 3007, 547, 1469, 780, 291, 269, 7913, 18264, 22761, 692, 4415, 519, 4473, 540, 3059, 10618, 267, 4648, 1590, 1451, 875, 547, 6330, 1585, 5867, 31719, 543, 3927, 269, 26787, 6302, 1472, 4757, 3210, 2053, 267, 9319, 7050, 31120, 610, 3822, 267, 543, 1210, 8537, 1893, 3565, 547, 2318, 2228, 15377, 269, 5047, 267, 16706, 24787, 950, 4687, 14804, 1344, 543, 1201, 20995, 689, 2502, 538, 575, 1601, 760, 610, 5739, 11407, 2149, 1312, 1367, 8088, 725, 543, 10721, 8699, 630, 32056, 802, 1696, 620, 1421, 476, 1220, 279, 6393, 292, 269, 32730, 543, 4317, 15638, 692, 15187, 11529, 4249, 513, 4105, 1909, 538, 14027, 11678, 543, 9750, 3318, 5121, 269, 5900, 2056, 1514, 19771, 267, 11925, 267, 543, 19014, 2488, 3255, 547, 4497, 609, 9905, 267, 2671, 2093, 267, 543, 13686, 6791, 269, 7743, 28972, 693, 891, 2621, 2882, 10962, 13951, 267, 8362, 6947, 547, 1866, 267, 5356, 25442, 5360, 9323, 267, 543, 1739, 909, 609, 17066, 26063, 269, 5457, 602, 13033, 568, 827, 2679, 9758, 4296, 2864, 982, 9003, 5009, 13951, 630, 2690, 4958, 1299, 8935, 326, 615, 1399, 267, 476, 1220, 275, 6393, 4353, 269, 10390, 692, 3849, 2194, 532, 547, 9687, 1870, 1696, 1172, 22863, 9356, 606, 4656, 540, 4657, 9036, 6384, 543, 513, 18515, 547, 1332, 24015, 269, 1635, 14237, 2178, 2792, 1983, 267, 11744, 2463, 585, 1866, 262, 942, 267, 9306, 2933, 14013, 267, 8508, 3059, 1655, 2853, 267, 543, 14637, 6209, 3347, 267, 1053, 666, 8853, 538, 1022, 3318, 1604, 789, 7237, 269, 11086, 267, 13215, 1870, 28972, 6087, 2043, 547, 4734, 9434, 24221, 267, 6536, 2318, 960, 4529, 267, 543, 3565, 3648, 547, 741, 3906, 262, 1967, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 1446, 655, 620, 29841, 584, 534, 476, 1001, 271, 1107, 4236, 345, 476, 2420, 1107, 700, 23470, 289, 454, 2419, 14128, 281, 570, 2727, 12011, 344, 1695, 2098, 889, 1515, 454, 17572, 12025, 281, 476, 278, 269, 2004, 11586, 454, 2704, 5025, 327, 345, 629, 476, 7871, 268, 6812, 570, 2378, 338, 597, 476, 7871, 454, 289, 650, 1695, 328, 1295, 11849, 695, 599, 339, 8643, 678, 986, 329, 574, 645, 1143, 650, 1695, 681, 31670, 2006, 678, 31670, 574, 3992, 1297, 476, 23470, 521, 30186, 547, 30037, 269, 594, 993, 1297, 476, 7871, 547, 476, 6812, 563, 31800, 1695, 596, 1185, 2405, 2088, 22971, 269, 2353, 596, 945, 723, 5156, 4484, 547, 670, 21343, 543, 2462, 798, 711, 4283, 519, 8075, 540, 519, 21024, 521, 718, 718, 24660, 620, 599, 6062, 3649, 521, 718, 600, 16589, 269, 3973, 16589, 598, 24510, 774, 584, 2006, 682, 328, 679, 3288, 667, 6511, 538, 22840, 269, 31453, 950, 596, 616, 15868, 585, 513, 7594, 1510, 32261, 922, 22026, 563, 1103, 713, 32318, 1695, 519, 21071, 616, 1373, 9619, 269, 23010, 267, 513, 796, 4678, 2088, 818, 2006, 334, 269, 1656, 519, 9607, 609, 2657, 4516, 269, 23010, 269, 1656, 713, 568, 513, 17083, 602, 11287, 891, 12981, 568, 1018, 513, 10421, 540, 513, 812, 267, 713, 568, 1945, 602, 707, 661, 2006, 19329, 952, 596, 1616, 547, 6961, 707, 4757, 267, 952, 596, 1616, 547, 7794, 707, 4757, 267, 1287, 1018, 798, 596, 723, 547, 798, 286, 1411, 723, 547, 7747, 891, 5528, 602, 616, 1373, 2016, 936, 1934, 563, 23777, 1227, 267, 519, 12981, 602, 616, 2016, 1310, 971, 606, 2232, 267, 9493, 1695, 267, 596, 666, 1577, 803, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19968, 18264, 22761, 257, 607, 851, 540, 834, 3918, 29052, 9970, 1315, 18264, 22761, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 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 ]
[ 1269, 344, 27572, 5793, 1061, 1269, 321, 259, 543, 9386, 1269, 332, 259, 568, 2016, 676, 519, 9386, 25435, 1106, 1269, 344, 284, 332, 343, 17070, 16859, 31171, 1500, 593, 5988, 476, 2641, 267, 476, 1708, 272, 692, 6097, 547, 519, 9218, 540, 5811, 267, 20145, 267, 543, 27018, 12307, 2073, 692, 5793, 1061, 634, 1448, 1141, 513, 7455, 610, 3113, 540, 513, 1599, 538, 4399, 10400, 681, 18898, 259, 22613, 835, 540, 519, 31320, 269, 1280, 519, 3113, 540, 1269, 344, 284, 325, 259, 538, 4399, 10400, 681, 317, 273, 8961, 519, 1269, 344, 27572, 5793, 1061, 568, 519, 1448, 1269, 7751, 543, 519, 1269, 343, 27572, 5793, 32383, 616, 519, 2798, 1269, 7751, 971, 602, 1269, 325, 284, 271, 16859, 19013, 267, 519, 1433, 1281, 711, 9846, 946, 602, 4214, 780, 16435, 2100, 25435, 3830, 540, 1899, 1323, 3830, 540, 519, 1106, 1269, 344, 284, 332, 343, 17070, 8961, 585, 513, 2786, 1899, 538, 4399, 10400, 681, 317, 273, 10608, 3371, 1269, 332, 259, 568, 519, 9386, 540, 519, 1899, 543, 1269, 321, 259, 568, 519, 1269, 344, 27572, 5793, 1061, 602, 568, 267, 1269, 344, 284, 321, 8961, 950, 1269, 343, 284, 271, 16859, 13295, 267, 1256, 1498, 519, 1433, 11225, 606, 18448, 607, 513, 1448, 267, 621, 3096, 519, 2165, 547, 20301, 513, 1297, 780, 27775, 2105, 7335, 281, 1548, 1772, 634, 17449, 16387, 2986, 595, 743, 275, 692, 1012, 10318, 1456, 1656, 3955, 31147, 3955, 32383, 3245, 589, 8641, 692, 2304, 18448, 540, 1022, 1599, 568, 513, 1448, 1141, 519, 3113, 540, 519, 1599, 22613, 267, 610, 18448, 338, 267, 519, 1535, 14289, 610, 586, 14289, 780, 10303, 972, 616, 1079, 17887, 593, 513, 11282, 7077, 267, 972, 666, 581, 513, 1535, 25435, 267, 799, 568, 519, 1448, 1141, 519, 3113, 22613, 519, 1535, 14289, 2073, 610, 513, 586, 25435, 267, 799, 568, 519, 1448, 1141, 519, 3113, 22613, 519, 586, 14289, 610, 1312, 780, 2691, 519, 5276, 1599, 568, 1031, 547, 2099, 513, 1483, 8996, 3510, 267, 519, 18448, 338, 723, 1713, 2495, 538, 519, 2796, 540, 519, 1966, 780, 303, 1021, 543, 14484, 692, 1692, 666, 596, 10646, 1063, 519, 1535, 25435, 543, 519, 586, 25435, 689, 513, 3113, 2496, 20797, 692, 11328, 13133, 1312, 519, 1535, 1700, 543, 586, 25435, 338, 538, 519, 3347, 3254, 538, 519, 11708, 2630, 780, 272, 269, 634, 3113, 3254, 2630, 4564, 519, 1297, 540, 17914, 602, 513, 14364, 1590, 6133, 538, 1931, 547, 5352, 8096, 12573, 538, 8907, 689, 19044, 6455, 780, 273, 269, 589, 554, 32304, 568, 19482, 1524, 513, 666, 27267, 4724, 519, 666, 27267, 6989, 269, 2201, 519, 3113, 2630, 596, 666, 1294, 1200, 4463, 1657, 519, 666, 27267, 6989, 607, 513, 1599, 540, 942, 780, 1012, 2052, 589, 3474, 629, 7637, 5620, 3143, 962, 692, 22706, 476, 279, 4569, 1948, 275, 269, 273, 320, 267, 1548, 568, 32437, 267, 1548, 568, 962, 18448, 692, 5472, 25158, 15614, 616, 22394, 569, 772, 8032, 543, 789, 786, 723, 513, 5207, 610, 9803, 1448, 602, 568, 1572, 519, 14584, 269, 3474, 629, 15614, 949, 1930, 909, 610, 1524, 543, 949, 610, 949, 711, 723, 1535, 910, 5793, 32383, 543, 789, 786, 2141, 723, 513, 2582, 586, 910, 5793, 1061, 269, 634, 546, 14414, 1899, 609, 1142, 540, 891, 25158, 15614, 568, 1572, 519, 7852, 540, 15340, 780, 27775, 2105, 7335, 281, 1548, 1772, 634, 17449, 16387, 2986, 595, 743, 275, 692, 1012, 1215, 1677, 4855, 634, 962, 3955, 1061, 769, 589, 28065, 17817, 692, 5226, 7310, 1738, 4834, 616, 6310, 3252, 1141, 835, 540, 519, 1535, 4632, 568, 16302, 267, 610, 3144, 547, 519, 2034, 1379, 899, 713, 281, 1535, 273, 269, 1879, 891, 3252, 616, 1178, 335, 1117, 267, 789, 1711, 513, 29236, 799, 5654, 899, 513, 17208, 968, 308, 892, 3337, 593, 519, 3113, 269, 901, 568, 1946, 513, 13392, 3830, 568, 3006, 1572, 513, 29236, 3830, 780, 10521, 1271, 2418, 7282, 891, 6310, 3252, 616, 519, 1535, 25435, 543, 519, 586, 25435, 269, 634, 1535, 25435, 6920, 1141, 519, 29236, 3113, 540, 602, 1599, 22613, 519, 1535, 7852, 269, 1703, 666, 581, 835, 610, 1079, 1535, 18448, 338, 585, 513, 2582, 13392, 4834, 780, 763, 586, 25435, 6920, 1141, 519, 29236, 22613, 519, 586, 7852, 269, 1703, 568, 1152, 835, 586, 18448, 585, 1142, 13392, 3830, 780, 1012, 1548, 1772, 634, 962, 692, 763, 3044, 1106, 540, 971, 606, 3830, 568, 16547, 1341, 1635, 1341, 595, 815, 476, 271, 610, 16547, 1341, 1635, 815, 595, 269, 1879, 596, 30337, 713, 3830, 547, 1205, 586, 676, 3294, 593, 519, 2451, 2427, 267, 621, 3217, 519, 1106, 586, 815, 544, 343, 1341, 321, 269, 901, 568, 1572, 9386, 18448, 1106, 1317, 544, 568, 3160, 547, 519, 9386, 540, 519, 1899, 267, 543, 536, 568, 519, 1871, 540, 586, 950, 1535, 815, 476, 271, 267, 799, 2306, 621, 519, 586, 18448, 780, 10673, 1406, 7323, 281, 16387, 12143, 4855, 634, 20099, 1473, 5344, 8382, 6206, 692, 1012, 10318, 1456, 1656, 3955, 31147, 3955, 32383, 3245, 589, 7305, 692, 2791, 666, 849, 946, 513, 3349, 540, 2418, 547, 3313, 543, 4612, 519, 18448, 338, 540, 513, 1599, 269, 634, 3113, 2630, 4564, 519, 2078, 1063, 519, 6989, 1297, 543, 519, 2179, 540, 942, 602, 590, 2989, 571, 814, 1044, 538, 606, 30981, 269, 590, 2989, 571, 568, 538, 606, 5604, 2679, 538, 2342, 267, 1141, 519, 2666, 6989, 568, 13042, 968, 14503, 3233, 476, 271, 892, 543, 519, 1985, 6989, 909, 568, 13042, 968, 14503, 3233, 476, 272, 14325, 290, 4878, 543, 13594, 519, 3349, 2630, 883, 707, 4967, 269, 2422, 519, 30981, 3113, 1657, 547, 2347, 519, 3349, 269, 8437, 593, 519, 7132, 1129, 547, 2638, 707, 4267, 780, 8196, 707, 3113, 543, 3349, 547, 2626, 519, 1739, 2055, 780, 1892, 1548, 616, 519, 10974, 540, 519, 586, 25435, 888, 1892, 1548, 1281, 519, 586, 25435, 2099, 538, 713, 3510, 888, 1892, 1548, 616, 519, 10974, 540, 519, 1535, 25435, 888, 1892, 1548, 1281, 519, 1535, 25435, 2099, 538, 713, 3510, 2496, 20797, 692, 11328, 13133, 1312, 519, 1535, 1700, 543, 586, 25435, 338, 538, 519, 3347, 3254, 538, 519, 7515, 2630, 780, 272, 269, 634, 3349, 2630, 2982, 519, 3845, 6967, 538, 513, 1668, 7552, 689, 20279, 547, 28543, 607, 513, 1599, 540, 942, 269, 1215, 2484, 568, 621, 538, 5195, 689, 20279, 547, 28543, 286, 1215, 1082, 3108, 786, 519, 7552, 1491, 2496, 11742, 538, 25980, 267, 1535, 692, 344, 25435, 1384, 20797, 281, 32437, 268, 11328, 1061, 4813, 692, 1103, 519, 2042, 2630, 267, 8749, 519, 6310, 3268, 540, 6061, 519, 3830, 883, 519, 2953, 27312, 1931, 538, 1142, 4737, 269, 2422, 519, 6192, 3435, 547, 1413, 585, 3270, 538, 875, 596, 666, 3313, 519, 1535, 25435, 543, 586, 25435, 585, 513, 5276, 3830, 602, 568, 2016, 538, 9386, 25435, 1106, 780, 20797, 281, 9208, 4813, 692, 1012, 32437, 3955, 1061, 4813, 16754, 692, 2690, 519, 3830, 267, 586, 815, 544, 343, 1341, 536, 267, 544, 568, 519, 9386, 540, 519, 1899, 602, 568, 16611, 676, 1535, 543, 536, 568, 519, 586, 25435, 610, 649, 666, 2161, 519, 1448, 1141, 519, 1899, 786, 3444, 519, 7299, 586, 14289, 269, 901, 568, 513, 24534, 3830, 602, 666, 849, 581, 3957, 607, 519, 9386, 25435, 1106, 269, 27588, 513, 3113, 689, 713, 3830, 568, 2653, 2523, 950, 2418, 616, 12863, 269, 769, 713, 2022, 267, 649, 786, 1865, 3592, 1169, 2460, 540, 519, 3113, 543, 12596, 585, 1535, 543, 586, 25435, 338, 269, 4746, 267, 596, 1131, 917, 519, 1483, 8996, 3498, 540, 9386, 18448, 338, 543, 875, 547, 2203, 519, 4834, 538, 4052, 2474, 780, 763, 2418, 1031, 538, 4542, 616, 607, 5205, 281, 332, 568, 519, 9386, 540, 519, 1899, 12500, 568, 519, 586, 25435, 540, 519, 1899, 780, 1607, 568, 711, 2009, 547, 1174, 11708, 707, 1378, 269, 1411, 991, 513, 4116, 945, 666, 3391, 596, 543, 6266, 540, 2259, 547, 3914, 519, 3932, 269, 1411, 1058, 917, 875, 11708, 616, 2966, 950, 519, 1871, 540, 1535, 8686, 926, 762, 4679, 543, 519, 1871, 540, 586, 8686, 926, 762, 4679, 936, 942, 269, 634, 1523, 666, 581, 811, 3730, 950, 596, 2015, 519, 1482, 585, 519, 1483, 8996, 2042, 780, 10673, 1406, 7323, 281, 7629, 652, 10003, 25676, 2986, 2353, 5384, 692, 1012, 1215, 1677, 4855, 634, 962, 3955, 1061, 2986, 589, 7305, 7151, 692, 1892, 1879, 4466, 962, 3955, 1061, 689, 513, 3113, 267, 596, 1265, 519, 1448, 1141, 519, 3113, 540, 519, 3830, 22613, 519, 586, 14289, 563, 1892, 1879, 4466, 962, 3955, 1061, 689, 513, 3349, 267, 596, 1265, 519, 586, 17032, 950, 519, 1535, 17032, 568, 3160, 547, 4642, 563, 1892, 1403, 596, 798, 711, 917, 1018, 519, 1535, 17032, 568, 3160, 547, 950, 922, 4642, 267, 596, 1590, 946, 519, 9386, 547, 979, 18807, 547, 1265, 621, 563, 1892, 12361, 11473, 19247, 26451, 634, 962, 3955, 1061, 769, 4569, 9502, 692, 19400, 938, 1863, 3381, 593, 875, 547, 4194, 15531, 962, 3955, 1061, 269, 901, 3381, 2982, 875, 547, 4194, 2042, 602, 616, 593, 938, 1863, 15531, 962, 3955, 1061, 4976, 602, 596, 666, 1205, 676, 26446, 707, 4757, 1657, 780, 19400, 519, 1863, 15531, 962, 3955, 1061, 3381, 593, 13334, 1934, 281, 1215, 547, 1265, 962, 3955, 1061, 692, 21581, 3690, 5296, 1384, 1607, 3381, 568, 827, 875, 547, 1265, 586, 25435, 269, 1411, 666, 1205, 519, 4976, 1031, 538, 713, 3381, 585, 1863, 676, 14467, 593, 519, 3095, 538, 519, 6609, 2630, 780, 763, 1101, 851, 540, 938, 4976, 568, 827, 875, 547, 1265, 586, 25435, 689, 513, 3113, 269, 769, 1931, 547, 1265, 519, 586, 25435, 676, 3168, 693, 513, 3113, 596, 723, 547, 1413, 693, 1141, 707, 1899, 22613, 519, 586, 7852, 269, 1403, 649, 4941, 547, 649, 1223, 979, 6619, 543, 6003, 938, 3113, 269, 1284, 917, 602, 713, 568, 519, 586, 7852, 543, 649, 917, 602, 713, 568, 519, 1535, 7852, 269, 634, 586, 7852, 568, 2141, 513, 7299, 7852, 543, 519, 1535, 7852, 568, 2141, 519, 8880, 7852, 269, 1548, 596, 616, 3168, 585, 568, 596, 516, 3168, 585, 519, 5544, 1141, 707, 1899, 22613, 519, 586, 7852, 267, 596, 516, 3843, 547, 1265, 4010, 1141, 707, 5276, 3830, 786, 3444, 519, 586, 7852, 780, 2252, 596, 1413, 693, 938, 1101, 1383, 1934, 519, 1899, 22613, 519, 586, 7852, 1318, 1934, 269, 1879, 586, 11224, 476, 272, 602, 1797, 938, 586, 25435, 814, 547, 581, 476, 272, 543, 602, 338, 938, 3070, 780, 27775, 2105, 7335, 281, 661, 665, 674, 21542, 6657, 4530, 10789, 476, 273, 18185, 5800, 542, 692, 1012, 7756, 22553, 2986, 28065, 12307, 692, 5226, 7310, 1738, 4834, 2097, 538, 1614, 2489, 3029, 269, 1452, 616, 519, 3044, 1106, 267, 14584, 1106, 543, 1249, 1819, 1106, 780, 24092, 1106, 5654, 899, 713, 1384, 344, 815, 4949, 273, 1341, 536, 343, 1341, 524, 1141, 513, 267, 536, 543, 524, 616, 1634, 21635, 543, 1535, 543, 586, 616, 4632, 780, 19723, 23753, 1106, 5654, 899, 713, 1384, 344, 815, 513, 273, 1341, 524, 1141, 513, 267, 536, 543, 524, 616, 1634, 21635, 543, 1535, 543, 586, 616, 4632, 780, 15542, 1819, 1106, 5654, 899, 713, 1384, 344, 815, 513, 1141, 513, 568, 513, 1634, 3586, 267, 678, 272, 543, 678, 273, 616, 968, 23085, 892, 540, 519, 3830, 2073, 543, 1535, 543, 586, 616, 4632, 780, 10376, 540, 519, 3029, 5654, 20427, 1114, 267, 855, 519, 1505, 585, 4466, 519, 586, 18448, 540, 513, 13392, 3830, 568, 519, 1482, 5103, 519, 1585, 3029, 780, 1012, 634, 962, 3955, 1061, 3245, 7638, 23753, 4813, 692, 1432, 1772, 513, 962, 268, 11328, 1061, 538, 4569, 2496, 19723, 23753, 1106, 568, 535, 815, 513, 273, 1341, 737, 269, 5457, 267, 519, 1535, 11282, 540, 519, 586, 18448, 568, 2141, 4642, 269, 774, 1846, 1946, 649, 11690, 538, 513, 4642, 585, 1535, 269, 700, 1115, 1294, 875, 713, 960, 609, 14584, 1106, 780, 7712, 972, 568, 2141, 835, 586, 18448, 267, 543, 621, 568, 12863, 547, 1265, 982, 519, 14584, 610, 1535, 18448, 338, 267, 621, 568, 513, 1434, 2856, 547, 1376, 609, 621, 269, 1924, 267, 1265, 519, 586, 18448, 1101, 952, 596, 516, 4280, 547, 3113, 269, 634, 1985, 3364, 596, 961, 1265, 568, 519, 14584, 267, 799, 649, 786, 1865, 538, 519, 14232, 3296, 780, 13706, 1818, 707, 1985, 8835, 6718, 1210, 938, 10500, 559, 5573, 13017 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3383, 519, 23723, 2103, 941, 14213, 539, 593, 1312, 5011, 267, 1312, 676, 4262, 543, 676, 2244, 269, 634, 19994, 641, 517, 5886, 2103, 267, 12270, 741, 575, 4150, 903, 883, 1507, 2338, 1317, 789, 1223, 711, 2097, 2282, 609, 1082, 693, 2899, 543, 16889, 1063, 267, 1028, 9229, 873, 676, 7140, 267, 1210, 782, 2009, 1130, 712, 543, 8994, 19015, 547, 2322, 519, 23723, 2103, 1394, 543, 2744, 519, 6830, 269, 4107, 900, 5799, 540, 782, 519, 1964, 729, 5696, 553, 573, 553, 563, 268, 3778, 476, 274, 269, 272, 330, 476, 274, 269, 272, 330, 476, 2420, 4154, 3983, 2471, 19442, 273, 8988, 3983, 2471, 275, 5038, 277, 19730, 3983, 2471, 454, 268, 19088, 1108, 1299, 23205, 16161, 476, 273, 269, 273, 330, 476, 273, 269, 273, 330, 476, 2420, 4154, 3983, 2471, 4200, 8988, 3983, 2471, 26825, 273, 19730, 3983, 2471, 454, 268, 29571, 3683, 6503, 476, 272, 269, 275, 330, 476, 272, 269, 275, 330, 476, 6507, 4154, 3983, 2471, 4489, 280, 8988, 3983, 2471, 26604, 278, 19730, 3983, 2471, 454, 268, 1488, 336, 1228, 476, 4037, 273, 476, 4037, 273, 476, 3451, 4154, 3983, 2471, 9340, 272, 8988, 3983, 2471, 26237, 275, 19730, 3983, 2471, 454, 268, 5824, 5678, 476, 28147, 476, 28147, 476, 1556, 4154, 3983, 613, 4510, 8988, 3983, 2471, 14681, 276, 19730, 3983, 2471, 454, 268, 7348, 3060, 9043, 454, 12749, 3060, 9708, 454, 268, 476, 6078, 1548, 568, 519, 1101, 7504, 2012, 6592, 538, 1686, 888, 268, 476, 2641, 9894, 1022, 5259, 29631, 5869, 4651, 513, 5067, 945, 20546, 539, 1864, 538, 21239, 888, 268, 476, 866, 5808, 729, 519, 2296, 26427, 16574, 541, 8066, 4971, 538, 519, 27245, 8136, 888, 268, 476, 1704, 13201, 7826, 608, 23890, 2479, 3361, 519, 546, 996, 337, 821, 618, 540, 1022, 4622, 888, 268, 476, 1704, 31578, 568, 547, 4446, 3415, 607, 23778, 568, 547, 1018, 888, 268, 476, 1691, 1548, 2186, 540, 2915, 9742, 1131, 31762, 828, 639, 581, 888, 268, 476, 1724, 18224, 1297, 538, 7956, 1613, 609, 8536, 3021, 1807, 543, 8918, 3898, 454, 268, 7348, 811, 3060, 9708, 9890, 0, 2171, 29971, 476, 3953, 29555, 17443, 13746, 602, 1185, 3370, 4930, 1282, 519, 1974, 689, 476, 6977, 271, 998, 476, 3707, 280, 547, 2697, 1283, 2275, 1243, 4930, 538, 519, 2361, 540, 29555, 17443, 630, 1877, 12898, 5219, 547, 607, 11239, 27825, 264, 1210, 519, 2228, 6538, 3163, 27375, 12039, 30771, 539, 630, 1320, 15106, 1234, 26407, 267, 9628, 267, 13325, 1040, 634, 476, 6200, 1034, 4749, 11855, 4930, 941, 3370, 538, 476, 1626, 13746, 269, 19964, 540, 744, 20953, 17443, 1185, 519, 1034, 1283, 2275, 1243, 4930, 630, 333, 815, 476, 4029, 1070, 4553, 676, 1977, 4750, 540, 744, 20953, 17443, 630, 333, 815, 476, 2190, 264, 543, 1325, 3691, 19816, 13153, 3400, 1030, 324, 781, 5246, 643, 24166, 744, 20953, 332, 860, 773, 630, 333, 815, 476, 280, 1040, 1452, 4930, 12090, 689, 476, 1691, 2477, 267, 609, 519, 2136, 2276, 13629, 519, 5354, 630, 333, 815, 476, 6812, 1040, 4107, 540, 519, 11239, 27825, 616, 4791, 2090, 593, 3584, 971, 607, 6299, 7578, 25942, 716, 267, 30636, 14527, 540, 840, 3901, 12053, 267, 23128, 520, 27019, 31019, 26628, 521, 545, 8619, 267, 25091, 29555, 8926, 267, 543, 519, 1101, 1867, 540, 3134, 11345, 3676, 630, 1122, 267, 2274, 828, 22420, 23726, 29302, 267, 13660, 2033, 1427, 3555, 6794, 267, 543, 853, 1173, 731, 339, 2068, 1040, 589, 9645, 1297, 540, 891, 4930, 941, 16053, 7620, 543, 585, 1896, 5756, 1310, 8313, 267, 855, 267, 899, 519, 5929, 18912, 9661, 12619, 532, 25925, 267, 789, 723, 1044, 2699, 4593, 2642, 269, 3776, 1353, 2488, 513, 3140, 5133, 593, 519, 5929, 4574, 538, 519, 3332, 602, 616, 1869, 9565, 538, 29555, 17443, 269, 0, 763, 2757, 538, 20117, 6289, 25570, 640, 4879, 4485, 616, 5342, 593, 513, 1395, 565, 9707, 540, 1591, 2528, 269, 1717, 267, 547, 1353, 513, 1591, 3210, 1510, 13779, 689, 519, 7023, 2281, 267, 513, 2582, 1591, 1353, 568, 2556, 282, 2523, 538, 2665, 540, 27090, 267, 29406, 267, 543, 6565, 2281, 267, 13296, 606, 1367, 1591, 781, 12556, 568, 1419, 711, 6045, 676, 519, 2898, 1591, 2551, 269, 16480, 267, 513, 2582, 1591, 1281, 711, 17932, 519, 4890, 538, 24155, 1604, 543, 19330, 1271, 1344, 3823, 1591, 2792, 609, 922, 2890, 523, 1444, 269, 5637, 513, 2582, 1591, 543, 513, 1591, 2551, 1683, 1271, 543, 14911, 1344, 827, 2281, 262, 5615, 269, 769, 713, 1382, 267, 649, 8268, 6289, 25570, 640, 4879, 593, 513, 2582, 1591, 543, 513, 1507, 1591, 2551, 1210, 6850, 23755, 25317, 21655, 543, 513, 2890, 19491, 4435, 22817, 1062, 630, 300, 32209, 264, 3926, 269, 1284, 7152, 513, 6417, 7001, 540, 7193, 1321, 2281, 538, 1114, 13355, 14580, 20635, 630, 1729, 7001, 513, 1114, 1297, 540, 2281, 264, 1210, 513, 5916, 1505, 540, 2627, 6198, 1436, 543, 5884, 937, 5268, 2803, 529, 269, 634, 1459, 1935, 2488, 513, 4028, 6289, 25570, 640, 3210, 607, 3379, 547, 824, 6671, 4485, 269, 901, 568, 519, 1101, 1353, 267, 547, 938, 1702, 267, 799, 9727, 513, 13354, 3210, 540, 513, 2582, 1591, 543, 1507, 1591, 10125, 593, 519, 1482, 631, 32209, 3760, 267, 950, 6534, 547, 4496, 6448, 20543, 269, 1284, 7152, 602, 519, 2890, 523, 1444, 540, 513, 1591, 568, 849, 18177, 585, 2281, 262, 5615, 543, 741, 6114, 547, 6289, 558, 17467, 269, 634, 2164, 540, 713, 8097, 1353, 1930, 909, 513, 1007, 8367, 547, 581, 7318, 585, 7114, 519, 1909, 540, 1591, 2792, 538, 10825, 17219, 538, 513, 1591, 2551, 563, 21292, 281, 631, 32209, 282, 1591, 268, 23890, 282, 25317, 21655, 282, 6289, 25570, 640, 282, 2582, 1591, 269, 0, 4415, 1082, 12322, 13059, 547, 1153, 267, 9263, 2604, 543, 4081, 6788, 616, 2899, 1586, 513, 4641, 269, 1452, 3773, 12503, 666, 2014, 22705, 543, 17498, 1282, 1018, 666, 581, 606, 2907, 31341, 6681, 942, 538, 1272, 269, 1280, 930, 12322, 267, 2705, 267, 1244, 11306, 616, 811, 982, 1175, 10151, 4606, 269, 1452, 616, 2589, 540, 4965, 563, 12831, 1833, 538, 10708, 568, 513, 3978, 2790, 1072, 1966, 269, 898, 5540, 519, 1259, 12322, 1589, 267, 1745, 543, 13789, 267, 543, 666, 2014, 3929, 267, 6198, 543, 2168, 2042, 269, 4014, 4965, 666, 2049, 693, 1022, 942, 538, 1272, 267, 2589, 666, 8428, 1063, 10708, 543, 4079, 563, 29819, 543, 2589, 602, 513, 21717, 949, 581, 20158, 1331, 513, 1689, 538, 741, 3105, 10182, 543, 2623, 602, 666, 2014, 11605, 543, 1713, 2042, 693, 1153, 610, 693, 1753, 267, 538, 1514, 2238, 267, 610, 538, 824, 2127, 540, 1272, 269, 1272, 563, 4322, 4191, 543, 2589, 666, 1331, 912, 1700, 18461, 902, 540, 18354, 267, 799, 949, 1331, 24986, 28542, 585, 1100, 7805, 2601, 563, 1700, 674, 745, 1598, 566, 610, 4606, 540, 10845, 267, 1256, 936, 1507, 1919, 563, 1700, 28214, 27945, 610, 8900, 563, 1700, 7054, 761, 1464, 610, 13347, 7099, 563, 1700, 13809, 540, 1719, 610, 12257, 538, 8912, 2238, 563, 1700, 13809, 540, 1719, 610, 4655, 609, 1920, 543, 2828, 563, 1700, 8899, 1582, 12635, 563, 1700, 18461, 902, 540, 4502, 16531, 610, 16203, 563, 1700, 674, 1460, 566, 593, 2250, 14286, 267, 610, 27105, 1582, 268, 3147, 639, 566, 610, 1582, 2275, 761, 6291, 563, 1700, 26184, 8417, 547, 18349, 610, 5821, 267, 543, 519, 991, 547, 581, 936, 3146, 817, 3293, 563, 1700, 30975, 3206, 267, 23622, 267, 1818, 3664, 543, 19551, 1919, 563, 1700, 634, 6024, 4743, 602, 1272, 543, 519, 2104, 616, 4158, 543, 1350, 334, 3912, 563, 1700, 14627, 550, 4555, 540, 2669, 267, 2669, 610, 11980, 563, 21675, 5673, 593, 519, 1826, 543, 10335, 540, 4965, 2589, 538, 513, 21717, 269, 589, 4999, 540, 6158, 3797, 543, 6646, 666, 581, 2500, 585, 1034, 12322, 609, 4965, 269, 1403, 513, 7141, 814, 4049, 4965, 610, 568, 693, 1981, 585, 1582, 3620, 1301, 267, 789, 949, 991, 547, 581, 32509, 610, 7119, 538, 606, 30229, 2126, 1982, 2394, 2589, 2087, 563, 7212, 31520, 616, 1419, 2500, 538, 8156, 4965, 543, 4160, 538, 1453, 543, 10708, 267, 741, 946, 538, 1453, 543, 10708, 1058, 581, 5402, 16913, 267, 607, 972, 949, 10355, 581, 3978, 2427, 2360, 269, 4165, 21699, 1218, 4163, 513, 5253, 543, 10684, 10029, 3109, 4216, 9963, 540, 606, 2799, 1981, 540, 29047, 4555, 543, 2623, 538, 930, 1004, 896, 476, 1839, 563, 15100, 476, 1708, 272, 25832, 18669, 5240, 8416, 269, 16731, 3377, 6339, 1740, 6230, 599, 665, 4802, 545, 3820, 269, 20518, 3176, 676, 17650, 2317, 12474, 10837, 267, 20941, 269, 0, 14630, 540, 22910, 2433, 476, 6021, 267, 5463, 267, 476, 1001, 280, 454, 14630, 2986, 20504, 766, 2433, 476, 272, 5463, 267, 476, 1001, 280, 454, 12041, 281, 32045, 3201, 267, 681, 3008, 288, 298, 296, 744, 28356, 3918, 23354, 297, 308, 272, 454, 10870, 8191, 281, 10758, 7419, 289, 2177, 267, 715, 7838, 11070, 292, 2894, 744, 299, 3201, 292, 298, 3198, 273, 267, 594, 10292, 298, 7419, 4041, 267, 717, 3198, 296, 312, 308, 9474, 12778, 288, 274, 2073, 674, 4696, 308, 312, 11223, 267, 16998, 19781, 744, 299, 7838, 3198, 2316, 275, 454, 22704, 540, 1382, 1315, 13595, 281, 12409, 5004, 454, 763, 1957, 12116, 519, 7271, 585, 4655, 6571, 538, 2757, 3979, 7239, 1354, 519, 4417, 540, 19525, 538, 519, 11782, 538, 799, 962, 528, 18866, 2486, 729, 1535, 11920, 539, 607, 513, 4704, 1448, 269, 898, 568, 2705, 7074, 267, 602, 538, 20547, 4655, 538, 2757, 3979, 7239, 267, 519, 3760, 2141, 1683, 4316, 585, 519, 6105, 3238, 547, 2170, 267, 2679, 13618, 543, 11865, 540, 1931, 538, 513, 2016, 2486, 269, 634, 2757, 4655, 6571, 2553, 971, 607, 25019, 267, 19908, 267, 7755, 644, 1709, 543, 21047, 941, 849, 8947, 543, 519, 6805, 14789, 538, 4655, 6571, 538, 3979, 7239, 799, 2882, 15438, 543, 8783, 338, 267, 11937, 267, 22242, 543, 1920, 9843, 543, 1920, 1062, 269, 898, 568, 5156, 602, 519, 4417, 540, 19525, 13986, 547, 26763, 856, 519, 20338, 685, 2409, 540, 5464, 267, 7303, 267, 5883, 543, 20547, 7526, 269, 20338, 849, 1185, 741, 15116, 2081, 543, 25654, 540, 1198, 532, 4708, 6194, 267, 4708, 2679, 267, 543, 6015, 2679, 269, 9122, 593, 891, 2101, 5107, 5129, 676, 6805, 1702, 538, 2757, 3979, 7239, 538, 4655, 6571, 22290, 519, 1646, 1184, 269, 898, 568, 11943, 602, 267, 621, 568, 2556, 2705, 602, 519, 3312, 3979, 2418, 1590, 581, 20460, 1243, 563, 21292, 2433, 18366, 267, 18366, 6571, 267, 3979, 7239, 267, 6520, 17263, 267, 1323, 6827, 832, 2676, 23077, 296, 630, 19445, 8629, 5772, 8595, 264, 7089, 281, 5291, 2517, 8742, 3820, 270, 1015, 269, 276, 2764, 272, 270, 7999, 29081, 269, 32579, 279, 3451, 279, 0, 26542, 268, 866, 2068, 814, 1831, 513, 2101, 1072, 1966, 5001, 267, 543, 713, 2376, 11828, 519, 2068, 3262, 540, 5046, 268, 866, 538, 17150, 2860, 2550, 563, 24464, 616, 693, 1164, 1981, 540, 3384, 5046, 268, 866, 2068, 950, 3379, 547, 2021, 267, 543, 713, 568, 1317, 540, 6793, 4761, 6547, 538, 2021, 269, 12207, 2161, 602, 7620, 267, 519, 3644, 6238, 547, 3728, 523, 909, 519, 3968, 538, 519, 1480, 1591, 13364, 267, 855, 621, 666, 1780, 998, 519, 1591, 1152, 609, 519, 948, 540, 570, 6573, 305, 7704, 273, 3940, 269, 4530, 16238, 8060, 570, 6573, 305, 7704, 273, 3940, 267, 543, 950, 519, 19697, 2157, 6175, 267, 1287, 570, 6573, 305, 7704, 273, 2157, 786, 849, 6175, 865, 602, 519, 11452, 2068, 568, 17808, 693, 519, 19235, 563, 8448, 3744, 2161, 602, 19697, 3112, 581, 6417, 538, 519, 9641, 607, 621, 1281, 538, 519, 17150, 269, 1452, 12383, 1039, 602, 11452, 3968, 568, 12947, 716, 3645, 267, 543, 538, 930, 2550, 267, 19697, 2157, 949, 1404, 513, 2101, 1909, 267, 543, 538, 930, 2550, 267, 621, 949, 711, 269, 1924, 267, 621, 568, 711, 17046, 602, 19249, 19697, 2157, 585, 5046, 268, 866, 2126, 568, 2500, 563, 763, 3741, 540, 2126, 585, 17150, 2860, 538, 5046, 268, 866, 2053, 616, 2676, 31010, 1514, 3845, 547, 2061, 2146, 3262, 563, 10112, 1005, 3461, 3106, 676, 10893, 519, 4598, 540, 519, 3461, 547, 519, 19190, 543, 10506, 563, 14737, 30093, 4598, 540, 3119, 1416, 7426, 630, 30999, 1575, 1049, 1072, 543, 3106, 630, 302, 9391, 264, 1916, 13014, 946, 540, 7658, 25924, 29492, 950, 972, 568, 1100, 991, 585, 538, 16512, 29492, 610, 952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 519, 5571, 5188, 1472, 6041, 267, 8116, 267, 543, 1582, 24148, 1851, 4563, 8478, 2103, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 14937, 8478, 281, 25812, 5174, 571, 7588, 1014, 8535, 267, 9085, 267, 543, 3203, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 17959, 543, 1646, 540, 25812, 5174, 571, 7588, 1014, 2528, 2580, 834, 274, 269, 19088, 540, 519, 834, 24055, 9111, 3269, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 25812, 5174, 571, 7588, 1014, 3332, 543, 1148, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 275, 269, 272, 269, 11137, 540, 25812, 5174, 571, 7588, 1014, 3332, 543, 1148, 2580, 834, 275, 269, 273, 269, 14640, 268, 2350, 626, 5380, 538, 3332, 543, 1148, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 274, 269, 6206, 5515, 538, 25812, 5174, 571, 7588, 1014, 3332, 543, 1148, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1888, 538, 519, 2361, 540, 1239, 2079, 281, 28662, 23221, 269, 901, 1523, 2636, 721, 547, 9337, 938, 4978, 827, 513, 1978, 9936, 607, 1007, 2963, 3587, 2139, 269, 1284, 786, 1294, 875, 547, 4019, 28662, 23221, 547, 7447, 519, 1871, 540, 513, 9936, 1210, 1079, 1114, 2409, 281, 519, 5021, 10171, 16759, 630, 300, 4041, 264, 543, 519, 28662, 1935, 780, 2414, 2253, 267, 1577, 781, 3888, 543, 1104, 519, 2556, 8021, 1384, 8199, 256, 26921, 3888, 21267, 1085, 27251, 11885, 692, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 1085, 27251, 1104, 28135, 454, 7884, 3086, 267, 1577, 781, 2015, 513, 2241, 1966, 281, 649, 723, 1079, 5036, 540, 7422, 267, 2387, 343, 338, 319, 543, 2387, 903, 12452, 543, 649, 1616, 547, 7447, 519, 1871, 540, 513, 9936, 2387, 9064, 319, 602, 1655, 6257, 519, 1239, 269, 1284, 666, 1376, 676, 7384, 519, 3732, 1797, 543, 1083, 1734, 540, 2387, 343, 338, 319, 543, 2387, 903, 319, 1384, 8199, 258, 476, 25335, 480, 21382, 509, 28996, 7511, 21550, 371, 10951, 361, 454, 343, 338, 815, 5286, 15126, 8443, 272, 269, 272, 267, 272, 269, 280, 7481, 903, 815, 5286, 15126, 8443, 273, 269, 280, 267, 275, 269, 272, 20285, 258, 476, 18777, 350, 28997, 501, 21550, 371, 10951, 361, 417, 507, 485, 29219, 454, 343, 318, 8663, 815, 5286, 32557, 3287, 338, 994, 344, 318, 8663, 815, 5286, 32557, 263, 903, 2020, 258, 476, 18777, 350, 28997, 501, 21550, 371, 10951, 361, 25913, 26266, 362, 454, 338, 13448, 815, 5286, 269, 12534, 3287, 338, 910, 1535, 318, 8663, 994, 338, 14729, 815, 5286, 269, 12534, 263, 903, 910, 586, 318, 8663, 994, 7884, 763, 3732, 1611, 568, 513, 2268, 540, 519, 3844, 12402, 540, 519, 1239, 267, 1247, 519, 3732, 13065, 568, 513, 2268, 540, 519, 3262, 540, 519, 1239, 269, 769, 713, 2013, 267, 649, 616, 14322, 602, 519, 7422, 538, 1142, 1305, 616, 6537, 689, 513, 3339, 3892, 609, 1611, 2387, 9064, 319, 543, 13065, 2387, 18406, 317, 273, 27471, 3086, 267, 1577, 781, 946, 519, 5021, 10171, 16759, 630, 300, 4041, 264, 547, 7447, 519, 1871, 540, 2387, 9064, 18269, 634, 631, 4041, 568, 513, 1505, 585, 21501, 519, 6724, 540, 513, 5506, 3892, 676, 21924, 519, 10171, 1599, 269, 769, 713, 2013, 267, 649, 666, 2328, 519, 10171, 1599, 607, 1384, 16465, 299, 7268, 9064, 264, 815, 1422, 2889, 323, 3709, 328, 284, 272, 8703, 333, 348, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 19570, 315, 18406, 317, 273, 3686, 1422, 10339, 13375, 8987, 315, 2765, 18950, 343, 10983, 10559, 9064, 8203, 273, 2410, 273, 315, 18406, 317, 273, 4153, 2431, 994, 9681, 3602, 2387, 333, 319, 568, 519, 1297, 540, 7422, 538, 1142, 1305, 267, 543, 2387, 18406, 317, 273, 319, 568, 519, 13065, 540, 519, 3339, 3892, 269, 1677, 1265, 519, 5021, 10171, 7447, 540, 2387, 9064, 12452, 649, 666, 1491, 519, 12045, 540, 519, 2845, 2000, 1731, 9685, 1599, 609, 2463, 547, 2387, 9064, 319, 543, 1305, 621, 3160, 547, 4642, 1384, 16465, 21702, 3189, 14783, 1422, 8421, 700, 7268, 9064, 264, 7346, 14783, 1422, 9064, 348, 815, 1422, 2765, 346, 272, 7346, 18406, 317, 273, 348, 1422, 8999, 3709, 328, 284, 272, 8703, 333, 348, 630, 343, 10983, 10559, 9064, 264, 815, 476, 271, 454, 9681, 306, 6295, 585, 2387, 9064, 12452, 649, 1205, 1384, 16465, 315, 1002, 3189, 9064, 348, 815, 1422, 2765, 346, 272, 2410, 333, 348, 1422, 8999, 3709, 328, 284, 272, 8703, 333, 348, 1535, 10983, 454, 9681, 6518, 568, 1175, 519, 3732, 1611, 269, 1284, 666, 12337, 519, 631, 4041, 540, 2387, 9064, 319, 1210, 519, 1739, 3009, 1384, 8199, 258, 17276, 508, 479, 27962, 25263, 376, 419, 482, 370, 454, 4594, 13448, 815, 476, 272, 4882, 13448, 454, 4594, 14729, 815, 476, 272, 4882, 14729, 454, 14006, 318, 2181, 322, 815, 562, 343, 2608, 22917, 13448, 1341, 562, 344, 2608, 22917, 14729, 454, 9064, 815, 630, 343, 318, 8663, 265, 333, 343, 265, 4594, 13448, 1341, 586, 318, 8663, 265, 5500, 265, 4594, 14729, 8358, 14006, 318, 2181, 322, 454, 14006, 318, 12534, 815, 476, 272, 9706, 739, 318, 2181, 322, 454, 7884, 3086, 267, 1577, 781, 946, 519, 28662, 1935, 547, 7447, 519, 1871, 540, 2387, 9064, 18269, 769, 713, 2013, 267, 649, 8263, 513, 1991, 3892, 585, 2387, 9064, 12452, 799, 4564, 938, 1991, 4978, 827, 519, 1871, 540, 519, 9936, 269, 1284, 666, 1287, 946, 7345, 525, 262, 11532, 547, 9337, 938, 4978, 607, 1007, 2963, 3587, 2139, 1384, 16465, 335, 7268, 9064, 347, 343, 264, 815, 1422, 2765, 22669, 3287, 24689, 9064, 264, 335, 7268, 9064, 20972, 335, 3287, 264, 8679, 9681, 3602, 2387, 335, 263, 9064, 347, 343, 23375, 568, 519, 17911, 3892, 267, 2387, 335, 3287, 347, 9064, 23375, 568, 519, 10171, 1599, 267, 2387, 335, 263, 9064, 23375, 568, 519, 1991, 3892, 267, 543, 2387, 335, 3287, 23375, 568, 519, 8589, 10171, 269, 769, 713, 2013, 267, 649, 666, 8263, 513, 7833, 1991, 3892, 585, 2387, 9064, 319, 1384, 16465, 335, 7268, 9064, 264, 815, 1422, 3667, 346, 4462, 6134, 348, 8987, 1015, 267, 1015, 994, 9681, 2171, 666, 1287, 946, 519, 1739, 3009, 547, 12337, 519, 17911, 3892, 540, 2387, 9064, 319, 1210, 519, 28662, 1935, 1384, 8199, 258, 29635, 368, 507, 9463, 370, 13161, 363, 25913, 25622, 454, 325, 343, 815, 630, 343, 318, 8663, 910, 7470, 318, 9064, 264, 1262, 273, 1341, 521, 13448, 454, 325, 344, 815, 630, 344, 318, 8663, 910, 7470, 318, 9064, 264, 1262, 273, 1341, 521, 14729, 454, 14006, 815, 630, 272, 11721, 343, 31618, 272, 11721, 344, 994, 7884, 7661, 267, 1577, 781, 4729, 519, 17911, 14778, 540, 2387, 9064, 319, 1210, 1312, 519, 631, 4041, 543, 519, 28662, 1935, 1384, 8199, 258, 476, 14756, 502, 10254, 370, 18713, 378, 25051, 351, 454, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 1015, 267, 276, 11723, 258, 17276, 508, 479, 27962, 25263, 376, 419, 482, 370, 454, 1314, 272, 815, 12301, 16553, 7120, 263, 13199, 994, 1314, 272, 19502, 14116, 5090, 318, 9064, 267, 2625, 318, 9064, 267, 1899, 12296, 284, 274, 994, 1314, 272, 15630, 318, 2643, 574, 8443, 271, 267, 272, 269, 276, 20285, 258, 29635, 368, 507, 9463, 370, 13161, 363, 25913, 25622, 454, 1314, 273, 815, 12301, 16553, 7120, 263, 14338, 994, 1314, 273, 19502, 14116, 5090, 318, 9064, 267, 2022, 267, 1899, 12296, 284, 274, 994, 1314, 273, 15630, 318, 2643, 574, 8443, 271, 267, 272, 269, 276, 20285, 10823, 20481, 4590, 7884, 1103, 519, 1101, 4729, 267, 649, 666, 1294, 519, 17911, 3892, 540, 2387, 9064, 319, 1210, 519, 631, 4041, 269, 769, 713, 2013, 267, 519, 17911, 3892, 568, 513, 3339, 3892, 609, 1611, 2387, 9064, 319, 543, 13065, 2387, 14006, 318, 12534, 18269, 769, 519, 2034, 4729, 267, 649, 666, 1294, 519, 17911, 3892, 540, 2387, 9064, 319, 1210, 519, 28662, 1935, 269, 769, 713, 2013, 267, 519, 17911, 3892, 568, 513, 7848, 540, 1079, 3339, 14778, 267, 835, 585, 1142, 1305, 540, 7422, 780, 1103, 3932, 267, 649, 723, 2938, 875, 547, 946, 28662, 23221, 547, 7447, 519, 1871, 540, 513, 9936, 1210, 1079, 1114, 2409, 281, 519, 5021, 10171, 16759, 630, 300, 4041, 264, 543, 519, 28662, 1935, 269, 634, 631, 4041, 568, 513, 1505, 585, 21501, 519, 6724, 540, 513, 5506, 3892, 676, 21924, 519, 10171, 1599, 267, 1247, 519, 28662, 1935, 568, 513, 1505, 585, 21130, 938, 4978, 827, 513, 9936, 607, 1007, 2963, 3587, 2139, 269, 1284, 723, 849, 2938, 875, 547, 12337, 519, 17911, 14778, 540, 2387, 9064, 319, 1210, 1312, 2409, 543, 875, 547, 4729, 873, 1210, 5124, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 582, 12221, 28272, 607, 12301, 454, 5228, 1085, 27251, 1104, 28135, 454, 10823, 269, 21683, 13640, 4461, 14277, 29664, 8807, 12127, 1125, 19312, 14352, 1015, 267, 476, 276, 994, 258, 476, 25335, 480, 21382, 509, 28996, 7511, 21550, 371, 10951, 361, 454, 343, 338, 815, 5286, 15126, 8443, 272, 269, 272, 267, 272, 269, 280, 7481, 903, 815, 5286, 15126, 8443, 273, 269, 280, 267, 275, 269, 272, 7481, 333, 343, 815, 1535, 338, 25915, 454, 5500, 815, 586, 338, 25915, 454, 343, 318, 8663, 815, 5286, 32557, 3287, 338, 994, 344, 318, 8663, 815, 5286, 32557, 263, 903, 994, 338, 13448, 815, 5286, 269, 12534, 3287, 338, 910, 1535, 318, 8663, 994, 338, 14729, 815, 5286, 269, 12534, 263, 903, 910, 586, 318, 8663, 2020, 258, 17276, 508, 479, 27962, 25263, 376, 419, 482, 370, 454, 4594, 13448, 815, 476, 272, 4882, 13448, 454, 4594, 14729, 815, 476, 272, 4882, 14729, 454, 14006, 318, 2181, 322, 815, 562, 343, 2608, 22917, 13448, 1341, 562, 344, 2608, 22917, 14729, 454, 9064, 815, 630, 343, 318, 8663, 265, 333, 343, 265, 4594, 13448, 1341, 586, 318, 8663, 265, 5500, 265, 4594, 14729, 8358, 14006, 318, 2181, 322, 454, 14006, 318, 12534, 815, 476, 272, 9706, 739, 318, 2181, 322, 692, 1721, 12055, 538, 2039, 263, 1015, 2187, 825, 22917, 13448, 815, 562, 343, 270, 12639, 27904, 9230, 343, 338, 7308, 3279, 264, 1262, 273, 994, 825, 22917, 14729, 815, 562, 344, 270, 12639, 27904, 9230, 903, 7308, 3279, 264, 1262, 273, 994, 825, 23940, 815, 630, 343, 318, 8663, 265, 4594, 13448, 265, 333, 343, 1341, 586, 318, 8663, 265, 4594, 14729, 265, 5500, 19422, 333, 343, 265, 4594, 13448, 1341, 562, 344, 265, 4594, 14729, 994, 14006, 318, 12534, 815, 476, 272, 14370, 333, 343, 265, 4594, 13448, 266, 5500, 265, 4594, 14729, 2020, 28186, 318, 9064, 815, 5286, 7456, 1231, 10628, 8987, 273, 267, 277, 267, 1911, 994, 22238, 318, 9064, 815, 28135, 8542, 768, 15005, 14116, 5090, 318, 9064, 267, 1327, 284, 9064, 267, 4336, 284, 14006, 318, 12534, 1262, 271, 269, 276, 2020, 1314, 272, 815, 12301, 16553, 7120, 263, 13199, 994, 1314, 272, 19502, 14116, 5090, 318, 9064, 267, 2625, 318, 9064, 267, 1899, 12296, 284, 274, 994, 1314, 272, 15630, 318, 2643, 574, 8443, 271, 267, 272, 269, 276, 20285, 258, 29635, 368, 507, 9463, 370, 13161, 363, 25913, 25622, 454, 325, 343, 815, 630, 343, 318, 8663, 910, 7470, 318, 9064, 264, 1262, 273, 1341, 521, 13448, 454, 325, 344, 815, 630, 344, 318, 8663, 910, 7470, 318, 9064, 264, 1262, 273, 1341, 521, 14729, 454, 14006, 815, 630, 272, 11721, 343, 31618, 272, 11721, 344, 994, 1314, 273, 815, 12301, 16553, 7120, 263, 14338, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 9753, 540, 9588, 1739, 519, 10343, 540, 12105, 3069, 1848, 274, 13787, 626, 8456, 23185, 676, 12105, 3206, 941, 7361, 3743, 585, 606, 3979, 7510, 326, 3240, 1373, 10268, 267, 2059, 609, 606, 610, 836, 27175, 267, 538, 513, 21799, 538, 519, 17588, 343, 23291, 269, 275, 1306, 513, 1267, 540, 16817, 1014, 4720, 267, 1082, 1004, 3323, 3206, 538, 2474, 540, 519, 1114, 1004, 2516, 1472, 519, 1158, 8204, 1114, 968, 571, 806, 2223, 855, 1369, 519, 2796, 540, 12105, 6138, 7868, 6426, 2306, 2312, 538, 602, 538, 2543, 547, 20778, 267, 972, 568, 1100, 11984, 1063, 5256, 610, 4775, 610, 4035, 610, 5259, 16638, 2441, 267, 1022, 9668, 1063, 1004, 568, 7745, 1524, 4700, 1118, 621, 2312, 602, 950, 513, 812, 543, 4807, 19533, 267, 789, 1831, 835, 17145, 630, 20357, 789, 941, 835, 17145, 13840, 1765, 292, 557, 729, 1500, 689, 14088, 1040, 9827, 267, 519, 812, 543, 4807, 1590, 581, 835, 32375, 865, 789, 666, 11886, 519, 4971, 547, 3132, 5601, 569, 15556, 563, 763, 13235, 3377, 2257, 2985, 7150, 267, 968, 1432, 519, 5013, 1397, 568, 602, 972, 616, 3604, 1851, 721, 267, 855, 789, 6565, 689, 2528, 267, 711, 5198, 1848, 1691, 634, 1152, 2601, 1082, 1004, 1589, 891, 3604, 616, 2101, 568, 1317, 789, 4076, 1044, 4547, 909, 538, 513, 2528, 602, 814, 6026, 873, 547, 1294, 519, 3604, 713, 1259, 7868, 5168, 1498, 568, 602, 891, 865, 10777, 968, 24055, 4162, 892, 616, 1152, 5634, 7648, 1851, 1004, 2516, 28560, 835, 941, 547, 1491, 1022, 1079, 1004, 9170, 538, 519, 1158, 267, 3744, 723, 1336, 602, 519, 2596, 4719, 3604, 1063, 891, 1079, 1004, 1131, 3335, 581, 1472, 476, 271, 269, 273, 2600, 1765, 16838, 952, 789, 3357, 689, 519, 1482, 1004, 1895, 269, 1321, 1809, 267, 891, 865, 10777, 968, 24055, 892, 4162, 602, 1004, 1589, 616, 2101, 3604, 630, 338, 7219, 7990, 267, 3750, 3337, 267, 3092, 4700, 968, 27665, 585, 1152, 476, 271, 269, 23713, 2600, 540, 1480, 6211, 8390, 1848, 1724, 769, 824, 1913, 267, 519, 865, 10777, 968, 24055, 892, 3604, 616, 11613, 24735, 1765, 1478, 718, 267, 972, 568, 811, 8390, 835, 1895, 543, 1776, 269, 4913, 267, 713, 8574, 814, 4986, 547, 798, 609, 7365, 269, 2026, 3627, 28711, 2306, 2312, 538, 1010, 5929, 16555, 267, 519, 2796, 568, 602, 2696, 568, 538, 5279, 540, 782, 1919, 1765, 3602, 267, 875, 543, 585, 875, 1279, 1022, 1268, 267, 14316, 610, 4182, 786, 2661, 267, 10653, 543, 829, 880, 269, 1626, 769, 782, 540, 713, 267, 2696, 568, 2324, 547, 28099, 655, 585, 13924, 1345, 513, 1004, 945, 616, 835, 538, 2441, 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 ]
[ 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 834, 8139, 14033, 12280, 23800, 281, 634, 9452, 540, 22526, 20831, 18724, 7615, 5016, 5970, 596, 2479, 4862, 2576, 2911, 827, 2348, 513, 2282, 2669, 1995, 630, 301, 14701, 21663, 1323, 715, 14701, 568, 950, 513, 1268, 2501, 1360, 2673, 547, 12955, 855, 3085, 1405, 269, 6884, 1004, 945, 723, 1185, 606, 715, 14701, 2161, 789, 4718, 6505, 8279, 267, 5433, 4708, 267, 610, 1256, 10272, 1776, 1158, 269, 1452, 2833, 666, 1689, 875, 1004, 1589, 827, 1272, 543, 2669, 780, 3080, 4807, 3957, 22526, 20831, 18724, 7615, 6487, 782, 827, 713, 20250, 269, 1879, 22526, 729, 1175, 513, 1126, 267, 1352, 1336, 856, 602, 1352, 1185, 1085, 10008, 2670, 267, 799, 1797, 1200, 12636, 17208, 538, 606, 8966, 1259, 269, 1635, 519, 942, 1352, 5828, 476, 736, 267, 1200, 2783, 7707, 2989, 267, 4929, 3586, 1928, 269, 16828, 267, 7189, 4956, 602, 6391, 1131, 581, 519, 1655, 4781, 780, 3086, 4952, 1373, 8868, 539, 883, 606, 5665, 4055, 267, 6616, 602, 23262, 786, 4166, 1930, 909, 707, 1394, 256, 2334, 1590, 723, 1044, 17559, 585, 22526, 267, 1318, 286, 1809, 3006, 267, 649, 991, 547, 3068, 938, 12194, 865, 1919, 1205, 1732, 2663, 593, 269, 1656, 602, 781, 4010, 1018, 5949, 1934, 780, 763, 6391, 3576, 2947, 543, 513, 3368, 3108, 267, 6028, 22526, 538, 513, 2027, 2186, 540, 5127, 1572, 513, 853, 787, 12027, 7406, 269, 901, 9764, 5127, 5280, 1832, 1200, 1560, 13988, 1247, 621, 646, 4705, 269, 1717, 267, 1945, 6397, 5949, 910, 1079, 2395, 1310, 519, 5650, 282, 8374, 1500, 1200, 2295, 3247, 25588, 256, 8786, 267, 596, 1224, 602, 7157, 269, 4173, 2295, 11074, 2324, 267, 543, 1199, 1227, 6340, 267, 1352, 5747, 780, 3719, 1287, 1945, 5863, 5949, 269, 4634, 1498, 1352, 7012, 1405, 7244, 543, 972, 941, 1100, 4191, 540, 1272, 267, 22526, 15422, 13735, 1657, 1200, 1378, 1560, 269, 898, 8604, 899, 1352, 1223, 1294, 3388, 8345, 1472, 1200, 5103, 1373, 17499, 269, 13536, 267, 1352, 4330, 4743, 4625, 2922, 543, 12560, 1282, 713, 9058, 2680, 780, 299, 3089, 1176, 267, 2564, 4648, 7307, 547, 3142, 22526, 1394, 547, 1272, 269, 9282, 4617, 267, 1352, 15068, 543, 4797, 2713, 1200, 7415, 1650, 269, 1306, 942, 5293, 267, 1352, 5206, 3875, 4930, 543, 3370, 2789, 2835, 4687, 1200, 6909, 3460, 269, 2701, 2968, 513, 15197, 11001, 267, 23712, 609, 24004, 28748, 4974, 891, 12357, 9259, 780, 5331, 3478, 547, 2671, 971, 513, 2189, 851, 540, 3054, 609, 1866, 267, 4543, 873, 1174, 811, 827, 1272, 543, 2669, 998, 707, 2123, 7237, 269, 1215, 3579, 568, 602, 31841, 13010, 267, 22526, 6170, 12964, 1296, 3450, 693, 31089, 7970, 2160, 781, 4659, 585, 15850, 543, 10684, 5525, 3427, 269, 2701, 3838, 1200, 7326, 609, 1312, 3610, 543, 1053, 7567, 269, 3958, 267, 1352, 6039, 607, 519, 7022, 543, 4604, 4759, 540, 519, 918, 1495, 531, 7236, 3194, 8416, 269, 3414, 891, 5107, 267, 1352, 8329, 3648, 2509, 1620, 1480, 9637, 543, 17035, 780, 9961, 1200, 4876, 267, 22526, 7902, 593, 1585, 7641, 2982, 7234, 1200, 715, 14701, 269, 5994, 7487, 707, 5172, 28910, 5967, 532, 2576, 945, 2899, 1412, 323, 1221, 262, 543, 3357, 1394, 547, 2995, 741, 9661, 269, 30474, 4241, 267, 26001, 2496, 3383, 1985, 942, 596, 5873, 2576, 6158, 827, 2282, 2669, 2833, 267, 3314, 22526, 20831, 18724, 7615, 269, 6056, 827, 875, 22838, 267, 7279, 267, 543, 6043, 4847, 1200, 547, 2981, 513, 32049, 10071, 883, 513, 4960, 547, 1451, 543, 4001, 721, 782, 1945, 1007, 827, 6000, 543, 519, 13655, 3564, 713, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 16808, 4673, 20831, 18724, 7615, 454, 289, 16808, 4673, 20831, 18724, 7615, 729, 4535, 609, 513, 22441, 538, 1200, 561, 29856, 12636, 1572, 968, 2675, 10008, 2670, 1848, 22073, 538, 476, 3192, 274, 267, 1352, 729, 32509, 2185, 2053, 538, 1079, 1296, 269, 7053, 267, 1352, 594, 23384, 6391, 543, 1659, 5803, 1310, 519, 2947, 7146, 8584, 28451, 16923, 5106, 538, 513, 853, 787, 12027, 1922, 9347, 5858, 5127, 269, 5565, 2395, 1310, 6391, 267, 8374, 1305, 538, 543, 1352, 5747, 269, 2991, 1200, 715, 14701, 267, 22526, 4682, 593, 547, 15476, 1082, 4930, 543, 1896, 2835, 269, 2701, 5249, 607, 513, 11001, 693, 519, 2160, 540, 21086, 6481, 3427, 896, 519, 5583, 540, 2618, 17226, 7548, 23745, 13983, 903, 517, 267, 543, 6026, 693, 31089, 3455, 779, 2160, 779, 4659, 585, 15850, 543, 10684, 5525, 3427, 585, 476, 1321, 1296, 269, 22526, 568, 849, 513, 2250, 7022, 543, 4604, 4759, 540, 519, 918, 1495, 531, 7236, 3194, 8416, 269, 22526, 814, 1044, 513, 16823, 593, 2101, 8613, 2982, 267, 1519, 32632, 3751, 14970, 267, 519, 4653, 8058, 267, 2494, 1325, 633, 267, 5213, 1695, 826, 267, 24296, 9407, 27405, 625, 267, 6751, 18225, 267, 6153, 27450, 3013, 267, 14956, 19207, 267, 29315, 23117, 267, 590, 3415, 320, 6154, 17507, 267, 23711, 6481, 5240, 543, 17665, 5398, 27657, 269, 1325, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 2476, 1572, 3013, 267, 972, 5030, 1082, 1004, 945, 4941, 547, 581, 1863, 543, 1827, 2933, 269, 1809, 972, 729, 513, 4622, 2066, 519, 5836, 945, 2219, 646, 1058, 1118, 782, 519, 3652, 269, 634, 4622, 1185, 513, 2462, 7952, 267, 855, 930, 12703, 4892, 4956, 789, 1131, 1796, 909, 547, 1864, 269, 1358, 4646, 741, 1378, 7952, 267, 1572, 519, 25550, 8136, 780, 3080, 812, 3957, 18148, 12493, 5280, 713, 1007, 7952, 1205, 4712, 585, 6370, 269, 1411, 1294, 267, 20679, 991, 811, 982, 1175, 7980, 910, 789, 849, 991, 7727, 899, 1426, 267, 7802, 267, 543, 9604, 269, 901, 568, 1018, 649, 1289, 17825, 256, 2052, 596, 2161, 834, 8421, 2524, 22172, 6153, 2816, 2439, 4131, 781, 1589, 827, 707, 5172, 11442, 4216, 693, 1753, 269, 1403, 596, 1616, 547, 1404, 609, 707, 9162, 267, 1101, 596, 991, 547, 1265, 873, 538, 519, 4216, 267, 1318, 286, 1656, 3006, 621, 666, 581, 2182, 952, 519, 9162, 616, 782, 6404, 909, 610, 6456, 896, 824, 1919, 269, 2334, 781, 1946, 2348, 3388, 6896, 2306, 4730, 1454, 4443, 543, 811, 1187, 780, 9617, 899, 707, 11442, 4216, 267, 18148, 12493, 1500, 2386, 519, 25550, 8136, 1185, 3388, 789, 2877, 950, 789, 2877, 621, 269, 1879, 7980, 941, 17237, 267, 646, 1500, 2386, 789, 3893, 1945, 17705, 547, 3548, 269, 1879, 741, 9660, 3893, 18660, 267, 646, 5795, 873, 2973, 3283, 865, 789, 9327, 1405, 6952, 513, 4411, 269, 1656, 1034, 11932, 267, 8164, 789, 10443, 856, 540, 11084, 585, 741, 1660, 22806, 630, 29006, 941, 519, 15963, 1394, 1287, 1070, 18148, 4718, 547, 621, 602, 789, 4607, 1007, 3283, 780, 3086, 4952, 1373, 513, 17199, 8165, 585, 5191, 543, 3478, 782, 891, 5363, 3688, 9447, 547, 596, 1107, 3085, 1405, 602, 3280, 8799, 286, 4270, 267, 602, 781, 4010, 1018, 18148, 12493, 1705, 585, 938, 12703, 12325, 538, 519, 25550, 8136, 269, 2060, 1010, 948, 267, 789, 1223, 1445, 593, 8026, 24200, 267, 1565, 2994, 267, 543, 8600, 585, 1271, 12959, 1996, 519, 4622, 781, 7952, 780, 4517, 1317, 18148, 3576, 971, 1434, 1416, 540, 3025, 267, 4166, 2614, 646, 2968, 835, 540, 519, 1283, 3401, 267, 15980, 519, 2140, 540, 11683, 4937, 269, 4658, 11967, 1864, 1317, 646, 2141, 6785, 875, 547, 1832, 1919, 4881, 12347, 3297, 519, 10207, 269, 1924, 3314, 267, 1985, 942, 596, 1930, 707, 11442, 4216, 610, 2972, 513, 15165, 267, 1589, 827, 18148, 12493, 543, 1010, 1898, 1909, 538, 4543, 3013, 1831, 922, 1378, 4830, 2197, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 18693, 2762, 540, 18148, 12493, 454, 13051, 15924, 12493, 729, 606, 11464, 538, 519, 25550, 8136, 1282, 519, 1977, 21829, 2782, 269, 1261, 9782, 547, 519, 7584, 540, 11683, 4937, 543, 729, 11967, 676, 4937, 6723, 6115, 269, 1261, 729, 513, 16027, 538, 12590, 543, 513, 4759, 540, 519, 17740, 807, 269, 1261, 6039, 538, 519, 17740, 807, 1282, 519, 3943, 543, 4095, 2782, 269, 4014, 646, 1705, 4339, 538, 1022, 12959, 646, 6591, 3407, 4108, 1995, 269, 1261, 729, 11221, 547, 519, 12590, 28393, 1017, 6837, 267, 12912, 14199, 267, 543, 5280, 5965, 585, 2112, 609, 6628, 269, 769, 476, 10082, 277, 267, 1310, 519, 27119, 613, 540, 11785, 267, 646, 729, 15469, 547, 11683, 4937, 538, 519, 17740, 807, 543, 2322, 538, 5279, 540, 4058, 23640, 2059, 519, 5032, 269, 769, 4873, 476, 10082, 277, 267, 646, 3366, 606, 16939, 602, 23498, 519, 2063, 3703, 9635, 689, 11785, 23320, 269, 30850, 267, 646, 729, 2366, 547, 1715, 3840, 547, 12927, 6115, 269, 1261, 10692, 693, 519, 11135, 540, 6519, 26111, 543, 519, 11135, 540, 10783, 14412, 543, 1010, 2367, 4988, 519, 25550, 8136, 779, 18956, 689, 1715, 3840, 269, 6837, 12912, 1864, 607, 513, 11683, 4937, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16676, 1581, 8136, 8298, 2524, 257, 607, 851, 540, 834, 19615, 1315, 2136, 2276, 1315, 21829, 11270, 630, 10082, 276, 268, 5197, 271, 264, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 2136, 2276, 10966, 7040, 5063, 4862, 7440, 538, 4639, 9098, 642, 269, 772, 2529, 269, 2037, 26404, 685, 331, 10466, 10837, 267, 3143, 269, 476, 736, 268, 14631, 271, 630, 1708, 273, 1070, 513, 27779, 5473, 519, 11162, 5794, 2920, 12462, 7563, 288, 14615, 543, 519, 6392, 540, 519, 7025, 10466, 10837, 12462, 292, 5183, 26158, 2755, 519, 7522, 2243, 4843, 547, 519, 7040, 4145, 519, 9165, 540, 16501, 779, 595, 8150, 6392, 267, 519, 2949, 27779, 949, 723, 513, 1454, 6626, 1764, 269, 13689, 593, 875, 519, 10966, 7040, 3652, 267, 922, 3375, 1223, 1860, 16501, 779, 2489, 6392, 547, 2936, 29071, 563, 7212, 519, 3844, 3390, 540, 713, 2013, 1107, 16501, 779, 6392, 896, 519, 595, 8150, 1107, 1281, 711, 2047, 1764, 6683, 267, 519, 6364, 540, 713, 2013, 814, 519, 1761, 547, 1764, 875, 16501, 28352, 1585, 2825, 29071, 267, 1519, 1346, 799, 616, 1271, 547, 6683, 269, 5221, 540, 519, 2009, 4093, 267, 713, 2013, 568, 606, 1271, 835, 547, 4585, 269, 1717, 267, 538, 1931, 547, 1174, 519, 7440, 1373, 1500, 538, 713, 27779, 543, 1946, 621, 779, 1271, 267, 621, 568, 2556, 547, 1174, 519, 4282, 540, 519, 2013, 543, 875, 621, 6603, 519, 10966, 7040, 269, 634, 1739, 568, 606, 7650, 540, 519, 4143, 2694, 540, 519, 595, 8150, 267, 543, 875, 16501, 779, 1544, 547, 10038, 3327, 8166, 5434, 689, 1379, 2371, 3357, 896, 10966, 7040, 2689, 563, 763, 595, 8150, 1299, 519, 11162, 5295, 4643, 454, 763, 595, 8150, 568, 519, 3102, 5313, 1876, 7939, 2011, 14107, 538, 519, 2136, 2276, 269, 634, 2949, 3804, 540, 519, 595, 8150, 568, 547, 2569, 543, 1852, 2011, 5533, 2429, 519, 2197, 269, 769, 1931, 547, 798, 865, 267, 519, 595, 8150, 21560, 5434, 689, 1312, 19335, 543, 5985, 2959, 540, 2011, 14107, 269, 6145, 1082, 824, 2825, 1876, 29071, 267, 16501, 568, 3743, 585, 28720, 543, 30191, 519, 595, 8150, 563, 763, 595, 8150, 814, 3964, 513, 3099, 540, 9431, 3292, 6322, 693, 9013, 2011, 5533, 689, 19335, 2959, 971, 607, 5656, 610, 824, 6703, 269, 2290, 540, 1346, 3292, 568, 13890, 538, 3296, 476, 278, 6078, 272, 540, 519, 595, 8150, 269, 7201, 3296, 476, 278, 6078, 272, 540, 519, 595, 8150, 267, 16501, 568, 9859, 547, 1592, 968, 322, 20975, 540, 19335, 2959, 892, 602, 968, 322, 1021, 267, 610, 3565, 3648, 547, 267, 2011, 5533, 799, 949, 21230, 581, 17191, 547, 1439, 9734, 1857, 1072, 610, 10304, 1848, 476, 5655, 772, 2529, 5861, 269, 19926, 476, 278, 6078, 272, 6357, 7565, 272, 7565, 288, 1040, 4495, 16501, 14439, 513, 1808, 7121, 540, 19335, 2959, 585, 17609, 267, 519, 10837, 568, 2838, 547, 3715, 968, 1056, 1841, 540, 2773, 585, 1007, 2959, 1369, 1142, 7121, 1848, 476, 5655, 772, 2529, 5861, 269, 19926, 476, 278, 6078, 272, 6357, 7565, 272, 7565, 289, 1040, 769, 713, 2796, 267, 968, 2908, 2959, 892, 4016, 547, 1022, 19335, 2707, 799, 568, 3710, 610, 9168, 1310, 16501, 3792, 1206, 519, 10858, 4441, 540, 2773, 269, 476, 5655, 772, 2529, 5861, 269, 19926, 476, 278, 6078, 272, 5416, 7565, 273, 1040, 769, 4334, 267, 606, 968, 1410, 12371, 2707, 892, 568, 1022, 19335, 2707, 602, 1281, 711, 3514, 519, 4214, 540, 513, 1007, 2707, 269, 476, 5655, 772, 2529, 5861, 269, 19926, 476, 278, 6078, 272, 5416, 7565, 277, 1916, 763, 595, 8150, 4422, 593, 547, 5581, 513, 968, 20598, 540, 2773, 892, 607, 513, 968, 20598, 585, 5434, 540, 2011, 14107, 799, 9356, 519, 4110, 540, 12998, 20159, 24276, 998, 519, 3498, 540, 519, 1655, 1062, 540, 12998, 5786, 799, 1496, 1547, 1547, 1547, 16501, 316, 11887, 814, 1044, 18113, 7152, 269, 476, 5655, 772, 2529, 5861, 269, 19926, 476, 278, 6078, 272, 5416, 7565, 272, 1040, 769, 824, 1913, 267, 513, 3044, 540, 2773, 585, 513, 7121, 540, 19335, 2959, 568, 519, 2179, 540, 12998, 5786, 602, 666, 2965, 581, 6913, 676, 1210, 519, 1655, 2139, 968, 17882, 540, 12998, 5786, 3034, 5629, 513, 3044, 540, 2773, 568, 1305, 585, 513, 7121, 540, 19335, 2959, 267, 621, 10039, 547, 782, 1007, 2959, 1369, 602, 7121, 269, 1717, 267, 519, 595, 8150, 3340, 16501, 547, 960, 609, 519, 2829, 538, 1931, 547, 3715, 543, 2743, 4441, 540, 2773, 585, 4540, 2959, 269, 2991, 16501, 3792, 1206, 4441, 540, 2773, 585, 1007, 2959, 1369, 513, 7396, 7121, 267, 519, 595, 8150, 3340, 16501, 547, 2322, 538, 1747, 5773, 3850, 2829, 547, 10505, 4566, 9591, 4441, 540, 2773, 585, 4540, 2959, 1369, 602, 1482, 7121, 269, 476, 5655, 772, 2529, 5861, 269, 19926, 476, 278, 6078, 272, 5560, 1040, 901, 1797, 602, 1247, 1007, 2959, 1369, 513, 7396, 7121, 540, 19335, 2959, 786, 991, 547, 2743, 4441, 540, 2773, 3964, 676, 16501, 267, 4540, 2959, 786, 991, 547, 2743, 4441, 540, 2773, 3964, 676, 741, 1533, 269, 12830, 569, 267, 1247, 2829, 616, 3743, 585, 4259, 4441, 540, 2773, 585, 4540, 2959, 267, 1346, 4441, 1590, 16783, 609, 519, 5773, 16501, 20964, 538, 1931, 585, 2829, 547, 10505, 4566, 269, 10705, 267, 891, 5773, 786, 1331, 513, 8990, 689, 16501, 607, 547, 519, 1655, 1062, 540, 12998, 5786, 2139, 267, 543, 519, 4110, 540, 12998, 5786, 602, 16501, 5784, 607, 24276, 998, 946, 540, 602, 1062, 269, 476, 2568, 595, 12171, 10611, 269, 19926, 476, 2568, 269, 2420, 320, 269, 2276, 1869, 3313, 1018, 2179, 540, 12998, 5786, 4540, 2959, 786, 991, 547, 2743, 267, 855, 789, 798, 865, 1759, 1055, 540, 519, 1062, 5786, 543, 2179, 540, 2009, 12998, 5786, 4857, 676, 16501, 563, 1103, 476, 1001, 276, 16501, 3803, 1242, 543, 7550, 519, 11162, 5295, 4643, 12462, 9573, 303, 14615, 538, 1931, 547, 10038, 5434, 540, 3327, 8166, 689, 1379, 2371, 269, 13966, 609, 9591, 4441, 540, 2773, 547, 1827, 5434, 540, 3327, 8166, 689, 1007, 1379, 2371, 267, 519, 8713, 303, 849, 3964, 5773, 585, 2829, 547, 1246, 538, 3384, 4566, 547, 3970, 3327, 8166, 5434, 689, 4540, 1379, 2371, 269, 769, 3257, 865, 267, 16501, 4857, 1018, 621, 5462, 547, 581, 519, 1655, 1062, 540, 12998, 5786, 269, 2334, 1062, 16941, 538, 851, 593, 2829, 13346, 5201, 5108, 689, 2362, 15041, 9231, 2959, 547, 2539, 15041, 9231, 2959, 630, 10440, 968, 14749, 13346, 26158, 476, 3199, 12658, 269, 3204, 269, 693, 476, 5038, 267, 278, 2764, 269, 4340, 547, 16501, 267, 676, 13346, 1648, 5108, 547, 2539, 15041, 9231, 2959, 267, 4540, 1379, 2371, 1223, 2569, 5434, 540, 3327, 8166, 547, 476, 272, 267, 25134, 6550, 829, 19251, 1177, 3430, 5662, 269, 476, 3199, 12658, 269, 3204, 269, 693, 476, 5038, 267, 5780, 278, 269, 901, 729, 2539, 982, 519, 12998, 7182, 585, 1007, 1379, 2371, 799, 16501, 1305, 693, 476, 272, 267, 6110, 6550, 540, 3327, 8166, 829, 19251, 1177, 3430, 5662, 269, 476, 3199, 12658, 269, 3204, 269, 693, 476, 5038, 267, 476, 276, 1724, 563, 14582, 773, 1324, 602, 16501, 1185, 25295, 922, 6392, 267, 1585, 2829, 19429, 9290, 563, 26073, 547, 519, 10966, 7040, 454, 1103, 5239, 476, 1001, 276, 267, 513, 22687, 540, 8938, 5498, 1597, 2829, 19429, 4639, 9098, 642, 269, 772, 2529, 269, 2037, 26404, 685, 331, 10466, 10837, 267, 3143, 269, 476, 1428, 268, 15793, 274, 630, 291, 5861, 269, 19449, 269, 476, 1001, 277, 264, 4101, 519, 8713, 303, 269, 4340, 547, 519, 27674, 14554, 267, 519, 8713, 303, 25295, 519, 6392, 6837, 11292, 547, 16501, 950, 621, 5293, 519, 595, 8150, 269, 1635, 8506, 2829, 547, 6521, 741, 5201, 5108, 689, 2362, 15041, 9231, 1379, 2371, 547, 2539, 15041, 9231, 2371, 267, 519, 27674, 14554, 11130, 602, 16501, 729, 1128, 23082, 513, 968, 342, 32440, 1446, 7004, 540, 519, 772, 2529, 269, 1648, 1062, 1848, 769, 9759, 267, 519, 27674, 14554, 10645, 602, 896, 519, 8713, 303, 1082, 2829, 1131, 581, 7142, 547, 13649, 4587, 267, 2362, 15041, 9231, 6703, 538, 3870, 540, 4244, 2539, 15041, 9231, 6703, 538, 1931, 547, 2743, 519, 3327, 8166, 12998, 7182, 3964, 676, 16501, 269, 634, 27674, 14554, 11130, 602, 713, 4682, 3564, 16501, 779, 595, 8150, 6392, 269, 769, 2489, 267, 5313, 8041, 723, 1152, 519, 8128, 11292, 547, 873, 676, 6837, 269, 1403, 6837, 1281, 711, 1780, 513, 29417, 26587, 606, 8116, 6392, 267, 1287, 519, 8116, 1281, 711, 723, 6392, 269, 5221, 519, 1257, 540, 519, 595, 8150, 1705, 711, 2446, 5108, 13346, 267, 855, 3079, 5059, 593, 4066, 543, 2853, 602, 1367, 19335, 2959, 1223, 9772, 547, 2569, 5434, 267, 519, 27674, 14554, 10645, 602, 519, 8713, 303, 25295, 16501, 779, 595, 8150, 6392, 563, 763, 27674, 14554, 4280, 519, 5480, 547, 3390, 513, 3251, 602, 1131, 723, 15286, 519, 8713, 303, 689, 2469, 883, 3656, 1198, 1247, 519, 2013, 729, 1373, 1396, 580, 730, 269, 1879, 519, 667, 5861, 269, 18065, 17792, 602, 7662, 267, 519, 27674, 14554, 4300, 4705, 519, 24677, 547, 519, 10966, 7040, 269, 634, 7040, 8815, 547, 5873, 602, 9029, 267, 543, 6038, 9783, 15194, 602, 15286, 519, 8713, 303, 689, 2469, 883, 1198, 1247, 519, 5817, 2013, 729, 1396, 580, 730, 538, 519, 667, 5861, 269, 18065, 563, 1103, 476, 1001, 278, 267, 16501, 4956, 547, 556, 29264, 519, 8713, 303, 269, 16270, 2689, 267, 16501, 5462, 602, 519, 8713, 303, 1185, 968, 338, 20138, 14688, 25295, 892, 922, 6392, 538, 8429, 519, 8713, 303, 543, 18005, 4735, 4705, 519, 7939, 269, 476, 10019, 12658, 269, 3204, 269, 693, 476, 3953, 267, 276, 2537, 269, 13018, 267, 16501, 1336, 602, 3296, 476, 278, 6078, 272, 540, 519, 595, 8150, 1705, 711, 2278, 1125, 519, 10837, 547, 2154, 2829, 547, 9772, 1648, 5108, 13346, 2853, 269, 476, 10019, 12658, 269, 3204, 269, 693, 476, 3953, 267, 276, 2537, 269, 6270, 4170, 941, 3564, 519, 6392, 6837, 11292, 547, 16501, 563, 16729, 519, 4735, 531, 540, 519, 8713, 303, 267, 513, 1114, 1895, 540, 2829, 543, 824, 5461, 6105, 19429, 1776, 27779, 547, 4161, 519, 4735, 531, 269, 634, 2829, 602, 8678, 519, 1007, 27779, 267, 2549, 269, 25016, 2667, 685, 333, 642, 269, 2037, 26404, 685, 331, 10466, 10837, 267, 3143, 269, 476, 866, 268, 14625, 271, 630, 291, 5861, 269, 19449, 269, 3967, 269, 476, 866, 267, 476, 1708, 272, 264, 941, 782, 2829, 602, 1185, 711, 1044, 513, 851, 540, 4639, 9098, 642, 269, 772, 2529, 269, 2037, 26404, 685, 331, 10466, 10837, 269, 769, 713, 1007, 27779, 267, 519, 27674, 14554, 11130, 602, 519, 8713, 303, 1058, 581, 5368, 26061, 1317, 16501, 779, 3932, 602, 519, 8713, 303, 25295, 922, 595, 8150, 6392, 729, 513, 31495, 13133, 566, 540, 519, 1876, 269, 634, 27674, 14554, 11130, 602, 519, 595, 8150, 1893, 28068, 16501, 547, 2697, 519, 968, 12895, 1062, 540, 12998, 5786, 892, 729, 3376, 2614, 547, 1331, 519, 5108, 13346, 6069, 538, 519, 8713, 303, 269, 634, 667, 5861, 269, 18065, 8815, 609, 519, 27674, 14554, 269, 898, 9783, 513, 15194, 16765, 9506, 16501, 779, 4735, 531, 540, 519, 8713, 303, 267, 15663, 602, 519, 1257, 540, 3296, 476, 278, 6078, 272, 540, 519, 595, 8150, 968, 323, 3996, 711, 796, 3711, 580, 28204, 3046, 513, 1062, 540, 12998, 5786, 602, 2882, 5108, 13346, 3034, 5475, 519, 667, 5861, 269, 18065, 9783, 922, 3375, 538, 2549, 269, 25016, 2667, 685, 333, 642, 269, 2037, 26404, 685, 331, 10466, 10837, 267, 16501, 16761, 602, 519, 30729, 540, 519, 8713, 303, 4735, 531, 711, 979, 883, 1198, 1247, 16501, 5249, 547, 8908, 513, 1007, 3296, 476, 278, 6078, 272, 4341, 585, 1379, 2371, 269, 769, 922, 7662, 267, 16501, 7150, 602, 621, 1705, 711, 6999, 547, 5368, 8063, 519, 8713, 303, 543, 729, 3079, 5059, 593, 13167, 513, 1007, 4341, 676, 799, 2829, 1223, 10505, 4566, 585, 15725, 4540, 1379, 2371, 269, 634, 667, 5861, 269, 18065, 11292, 16501, 779, 7662, 267, 1310, 799, 519, 27674, 14554, 538, 4639, 9098, 642, 269, 772, 2529, 269, 2037, 26404, 685, 331, 10466, 10837, 2899, 1586, 21936, 539, 519, 10966, 7040, 585, 2689, 269, 634, 10966, 7040, 8815, 547, 5873, 519, 2013, 267, 543, 621, 568, 602, 15539, 799, 568, 1631, 1354, 519, 7040, 563, 6524, 519, 10966, 7040, 454, 763, 3390, 4867, 1354, 519, 10966, 7040, 7740, 1472, 8116, 6392, 269, 13018, 267, 519, 27674, 14554, 11130, 602, 16208, 3296, 476, 278, 6078, 272, 547, 1450, 5108, 13346, 568, 513, 18670, 540, 519, 968, 332, 1994, 2055, 14985, 1848, 634, 2101, 2055, 14985, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8368, 540, 12937, 454, 1432, 568, 519, 2012, 540, 519, 476, 274, 1292, 13105, 6091, 888, 763, 1642, 339, 1355, 4887, 568, 519, 1292, 4887, 540, 519, 13105, 269, 898, 5161, 540, 1614, 4887, 9843, 281, 519, 18751, 1642, 339, 1355, 267, 14694, 1642, 339, 1355, 267, 543, 17911, 1642, 339, 1355, 563, 1432, 616, 519, 6091, 540, 519, 4232, 1807, 524, 4428, 888, 5445, 616, 849, 5219, 547, 607, 519, 590, 3951, 306, 4887, 267, 609, 4704, 547, 519, 1101, 4484, 540, 741, 4408, 630, 22296, 1440, 5684, 514, 9850, 267, 5606, 337, 5684, 514, 9850, 267, 5938, 637, 5634, 267, 543, 4427, 2675, 777, 983, 529, 267, 6606, 1040, 634, 6091, 8451, 689, 519, 1085, 777, 3121, 543, 1921, 547, 519, 2212, 540, 519, 1208, 518, 639, 267, 8108, 513, 524, 4428, 1472, 519, 1350, 523, 2129, 636, 1968, 630, 21203, 264, 4745, 563, 1432, 568, 519, 1034, 1271, 4232, 1807, 524, 4428, 4887, 888, 8138, 2675, 777, 983, 529, 269, 4427, 2675, 777, 983, 529, 568, 519, 1292, 4835, 4232, 1807, 540, 519, 13105, 269, 898, 568, 519, 4102, 1299, 16999, 524, 4428, 4887, 267, 3246, 476, 7871, 260, 540, 2698, 524, 4428, 4222, 563, 8489, 798, 476, 274, 540, 519, 4232, 1807, 524, 4428, 6091, 7696, 888, 763, 9408, 777, 983, 529, 4887, 540, 519, 4232, 1807, 524, 4428, 267, 538, 2699, 267, 18751, 2070, 269, 2201, 519, 17911, 2427, 540, 519, 1085, 777, 3121, 5642, 616, 519, 824, 1614, 6091, 540, 519, 4232, 1807, 524, 4428, 269, 2353, 1614, 7696, 593, 519, 3152, 16321, 2193, 540, 519, 1208, 518, 639, 267, 3850, 873, 267, 538, 4999, 609, 519, 9408, 777, 983, 529, 267, 547, 1852, 10047, 540, 519, 6186, 563, 1432, 616, 519, 1614, 1642, 339, 1355, 6091, 888, 763, 1642, 339, 1355, 6091, 723, 1614, 2694, 267, 610, 9843, 912, 268, 1323, 10262, 1642, 339, 6950, 281, 634, 4395, 1642, 1206, 602, 948, 1847, 707, 6186, 4464, 269, 1358, 1921, 547, 707, 804, 822, 1834, 563, 268, 700, 8632, 1642, 339, 6950, 281, 17121, 1642, 1206, 602, 948, 1847, 707, 6186, 856, 547, 519, 2427, 267, 607, 1134, 607, 909, 543, 1524, 563, 268, 5403, 7845, 1642, 339, 6950, 281, 681, 792, 1642, 1206, 602, 948, 1847, 707, 6186, 18807, 563, 1432, 568, 519, 1283, 13105, 4887, 1572, 888, 291, 3881, 1355, 568, 513, 1804, 21083, 4887, 602, 6227, 519, 1350, 523, 2129, 636, 1968, 4745, 267, 1141, 707, 5580, 6186, 7696, 338, 883, 707, 13105, 23094, 563, 1432, 616, 519, 476, 275, 6091, 540, 4232, 1807, 524, 4428, 888, 763, 4232, 1807, 524, 4428, 2882, 519, 1739, 6091, 912, 268, 1855, 637, 5634, 563, 1432, 616, 519, 476, 276, 4232, 1807, 524, 4428, 6091, 888, 268, 4232, 1807, 524, 4428, 269, 647, 1440, 5684, 514, 9850, 269, 1102, 337, 5684, 514, 9850, 269, 751, 637, 5634, 269, 9408, 777, 983, 529, 563, 268, 751, 637, 2101, 563, 1432, 616, 519, 2185, 4232, 1807, 524, 4428, 6091, 28866, 888, 22296, 1440, 5684, 514, 9850, 267, 1102, 337, 5684, 514, 9850, 267, 974, 637, 5634, 543, 9408, 777, 983, 529, 616, 1634, 607, 519, 4232, 1807, 524, 4428, 6091, 269, 1358, 7854, 543, 24644, 519, 1350, 523, 2129, 636, 1968, 4745, 563, 1692, 1082, 4232, 1807, 524, 4428, 6091, 616, 972, 888, 2467, 616, 2185, 4887, 28844, 602, 1921, 547, 519, 13105, 602, 1118, 909, 519, 4232, 1807, 524, 4428, 269, 8625, 891, 2185, 28844, 24644, 519, 5580, 6186, 5642, 547, 519, 13105, 23094, 543, 1450, 519, 2647, 2039, 540, 5163, 538, 519, 13105, 563, 1692, 1082, 13105, 6091, 616, 972, 888, 2467, 616, 827, 476, 736, 6091, 5885, 519, 13105, 543, 3850, 621, 547, 2490, 543, 17967, 538, 1082, 8846, 563, 1432, 616, 818, 5404, 527, 6091, 1572, 888, 26589, 609, 519, 533, 624, 7394, 529, 2101, 543, 533, 624, 7394, 529, 5634, 267, 519, 1016, 743, 822, 3780, 4887, 3029, 519, 4949, 8759, 610, 818, 5404, 527, 269, 634, 1016, 743, 822, 3780, 7575, 519, 13105, 18746, 543, 4464, 269, 5395, 7806, 639, 18751, 568, 1776, 4887, 593, 519, 4395, 540, 519, 9221, 269, 0, 2690, 519, 8772, 15654, 1032, 267, 654, 17025, 5342, 606, 6595, 1426, 3354, 4879, 630, 9128, 6347, 264, 538, 519, 6917, 2127, 540, 30622, 756, 719, 328, 269, 634, 6662, 568, 547, 2638, 519, 1426, 3354, 3510, 607, 713, 1032, 1586, 11811, 814, 1044, 13385, 2417, 547, 3670, 15654, 1296, 540, 10980, 543, 607, 1426, 5777, 6518, 2760, 8120, 547, 741, 476, 1220, 278, 840, 2275, 5142, 529, 2157, 2611, 1164, 563, 1432, 568, 519, 1426, 3354, 3510, 286, 634, 1426, 3354, 3510, 540, 6917, 10820, 3788, 2565, 269, 6168, 476, 5655, 267, 7785, 1004, 616, 1426, 538, 31261, 8204, 476, 5392, 260, 540, 10820, 543, 476, 2190, 267, 4968, 1004, 616, 26815, 1426, 538, 31261, 8204, 476, 2764, 260, 540, 10820, 269, 18744, 476, 2537, 260, 540, 10820, 616, 1426, 5150, 563, 16248, 20453, 540, 10820, 723, 513, 4057, 610, 8473, 1467, 1426, 4616, 799, 5161, 5631, 538, 24799, 267, 3282, 543, 4006, 267, 1264, 7757, 676, 930, 20512, 267, 5388, 267, 5144, 543, 5779, 630, 517, 576, 513, 3018, 264, 585, 519, 26815, 1426, 538, 31261, 10820, 563, 1103, 1840, 267, 519, 3510, 540, 22926, 568, 3978, 585, 2021, 630, 3042, 1063, 476, 1428, 543, 476, 5392, 1296, 264, 609, 476, 1691, 267, 274, 260, 540, 873, 24906, 269, 634, 6820, 26590, 5689, 19256, 630, 294, 4456, 264, 2557, 585, 1453, 9907, 1063, 476, 277, 543, 476, 1556, 3275, 568, 476, 2190, 267, 273, 260, 543, 6920, 513, 2565, 3510, 269, 634, 717, 4456, 2557, 585, 1453, 9907, 1063, 476, 1321, 543, 476, 2537, 3275, 568, 476, 1321, 267, 278, 260, 543, 6920, 513, 3978, 3510, 6185, 1005, 519, 3018, 1991, 547, 519, 5619, 267, 476, 2568, 260, 540, 10820, 4810, 2053, 950, 789, 1705, 711, 723, 2614, 2724, 547, 4444, 1426, 269, 634, 6871, 568, 1164, 1256, 10838, 1426, 5150, 10820, 630, 531, 2865, 476, 2412, 260, 1916, 2414, 11883, 609, 519, 3668, 540, 1426, 543, 2724, 267, 10820, 18992, 547, 2994, 602, 1439, 9734, 741, 24454, 269, 11569, 267, 476, 1839, 260, 540, 10820, 4421, 11327, 7221, 270, 2831, 1282, 519, 5722, 2395, 1991, 547, 519, 5619, 269, 6168, 476, 736, 260, 540, 16094, 1426, 538, 31261, 10820, 543, 476, 1724, 260, 540, 26815, 1426, 538, 31261, 10820, 4421, 10285, 13184, 630, 325, 655, 2297, 264, 1282, 519, 1032, 563, 1692, 814, 519, 3510, 7960, 3379, 547, 2063, 1032, 286, 634, 1426, 3354, 3510, 814, 14016, 730, 3379, 547, 476, 1001, 272, 269, 17616, 267, 10820, 685, 1426, 4616, 814, 3648, 14016, 730, 269, 901, 1032, 267, 811, 982, 476, 3583, 260, 540, 10820, 723, 513, 4057, 610, 8473, 1467, 1426, 4616, 3379, 547, 476, 6872, 260, 2063, 1032, 563, 30772, 267, 519, 6871, 540, 10820, 945, 4096, 593, 5351, 630, 25988, 5351, 543, 1920, 543, 3448, 30778, 10516, 264, 2799, 689, 476, 1556, 260, 538, 476, 1001, 272, 547, 476, 736, 260, 538, 476, 1001, 273, 269, 12059, 569, 606, 1271, 8167, 540, 10820, 630, 2190, 8472, 25983, 958, 4421, 13184, 538, 476, 1001, 273, 630, 4818, 1563, 547, 476, 1015, 267, 276, 260, 2063, 1032, 1040, 769, 476, 4281, 260, 540, 2665, 267, 789, 1705, 621, 547, 4444, 1426, 563, 10666, 476, 6812, 260, 540, 10820, 6059, 602, 741, 4747, 1377, 568, 2539, 982, 2063, 1032, 563, 1103, 1840, 267, 10820, 3343, 547, 2333, 741, 4747, 543, 547, 4129, 1518, 741, 4747, 2959, 1256, 952, 713, 1611, 2348, 1875, 4264, 4747, 2959, 269, 634, 1297, 540, 10820, 945, 723, 1079, 4747, 2959, 2799, 630, 5228, 476, 2190, 260, 538, 476, 1001, 272, 547, 476, 2412, 267, 277, 260, 538, 476, 1001, 273, 1916, 1432, 616, 519, 3123, 540, 1426, 22584, 888, 31359, 9302, 2661, 538, 5312, 6710, 799, 568, 28978, 676, 519, 3668, 540, 960, 3255, 267, 1164, 1426, 5777, 799, 2760, 8120, 547, 741, 476, 1220, 278, 840, 2275, 5142, 529, 2157, 543, 513, 18596, 10980, 799, 11151, 519, 25430, 540, 27892, 543, 1232, 23660, 31459, 563, 31359, 9302, 2661, 538, 513, 1533, 540, 19039, 3186, 3191, 269, 1358, 723, 513, 1360, 1970, 4747, 1377, 543, 476, 3374, 260, 540, 741, 4747, 2959, 616, 711, 4264, 630, 4660, 267, 9042, 540, 5755, 543, 3595, 6229, 267, 1121, 8636, 1734, 1040, 4256, 1377, 540, 9276, 568, 1360, 1970, 609, 606, 3328, 540, 476, 15686, 30622, 756, 719, 1014, 21473, 14369, 630, 271, 267, 5780, 13362, 264, 829, 1268, 543, 829, 1554, 282, 1614, 20453, 540, 1346, 1373, 13991, 547, 1426, 16306, 269, 1358, 723, 1906, 7221, 630, 24992, 476, 274, 543, 476, 276, 1916, 12850, 1569, 568, 2352, 269, 20290, 3368, 540, 519, 2551, 814, 711, 1256, 1569, 547, 476, 1428, 20990, 540, 1216, 829, 1268, 543, 829, 1554, 267, 513, 2556, 5934, 1305, 676, 19493, 4441, 563, 15463, 1091, 1107, 2179, 532, 538, 3328, 547, 1614, 9341, 13184, 4559, 630, 26950, 308, 264, 829, 10820, 1107, 3112, 2327, 10820, 685, 1426, 3354, 269, 17823, 10117, 570, 299, 5825, 829, 10820, 1131, 581, 2877, 563, 11947, 5351, 21341, 22707, 630, 25988, 5351, 543, 10516, 689, 1920, 543, 14077, 264, 616, 606, 1898, 4747, 2707, 585, 513, 1713, 8167, 540, 10820, 10446, 540, 741, 1426, 3354, 4567, 610, 741, 2238, 269, 6168, 476, 736, 260, 540, 10820, 723, 5351, 543, 13344, 607, 741, 1292, 2707, 540, 4747, 269, 769, 1840, 267, 1426, 5351, 543, 13344, 616, 519, 1292, 2707, 540, 1426, 540, 476, 2412, 260, 540, 10820, 269, 9453, 5351, 267, 606, 1271, 851, 540, 519, 2551, 1131, 723, 1100, 1797, 547, 3049, 3294, 543, 7639, 563, 8489, 616, 519, 1426, 538, 31261, 10820, 888, 2704, 328, 17939, 773, 327, 568, 519, 3148, 568, 519, 5207, 2557, 540, 16094, 1426, 538, 31261, 10820, 630, 6507, 8472, 4553, 676, 519, 5136, 1442, 3148, 630, 4649, 22103, 634, 4525, 540, 570, 29951, 2227, 327, 267, 667, 16554, 559, 1696, 3203, 320, 849, 723, 1164, 3928, 540, 4049, 1426, 22584, 267, 6606, 540, 476, 5325, 267, 276, 9077, 476, 4375, 267, 272, 260, 543, 476, 3066, 267, 275, 10065, 769, 1840, 267, 538, 891, 4525, 267, 827, 835, 3791, 540, 10820, 616, 26815, 1426, 538, 31261, 269, 769, 519, 5136, 1442, 3148, 267, 519, 2557, 568, 476, 2767, 267, 275, 260, 543, 538, 519, 18498, 17939, 773, 327, 835, 476, 1724, 267, 278, 260, 281, 0, 19423, 550, 5554, 320, 512, 329, 7564, 333, 3122, 910, 585, 323, 976, 4944, 18033, 337, 940, 2443, 5680, 325, 548, 564, 10298, 10323, 454, 763, 9338, 303, 2894, 6396, 5788, 476, 276, 269, 634, 13235, 6396, 5788, 476, 277, 269, 769, 1931, 547, 3035, 938, 3853, 267, 649, 991, 547, 581, 5100, 827, 875, 649, 21138, 938, 942, 547, 1114, 4247, 543, 2238, 269, 769, 519, 476, 3192, 271, 338, 267, 1210, 519, 13235, 1505, 540, 942, 6875, 707, 942, 267, 594, 6415, 711, 2469, 9170, 269, 4495, 596, 2811, 2944, 267, 1376, 547, 30387, 891, 4247, 883, 1614, 6688, 1107, 589, 267, 645, 543, 595, 269, 23657, 1118, 1114, 25985, 585, 519, 2022, 9947, 476, 1691, 267, 476, 1001, 277, 476, 272, 269, 9255, 13235, 4305, 5811, 269, 589, 1107, 570, 3696, 602, 616, 1271, 543, 14849, 5788, 476, 273, 563, 268, 1548, 1281, 3443, 3443, 3443, 1611, 454, 268, 31133, 5055, 512, 11107, 588, 787, 330, 454, 268, 20698, 3022, 2495, 454, 268, 7439, 1633, 807, 535, 7238, 3464, 330, 565, 528, 9631, 323, 7238, 1889, 454, 268, 700, 1872, 6339, 1236, 7637, 1319, 338, 539, 601, 454, 268, 9291, 580, 4292, 20834, 629, 517, 26937, 836, 2588, 534, 17774, 454, 268, 744, 3164, 985, 1199, 454, 268, 30960, 12387, 2088, 8250, 454, 2414, 2327, 513, 9836, 2359, 540, 942, 1585, 3631, 543, 6436, 723, 5384, 2359, 568, 519, 1184, 540, 4058, 543, 16706, 6857, 1852, 540, 942, 6170, 593, 1808, 2238, 267, 2523, 547, 2333, 7145, 267, 4398, 267, 543, 7607, 269, 898, 3322, 513, 5104, 31227, 957, 540, 1585, 7569, 2390, 513, 1268, 11341, 547, 960, 267, 1514, 1272, 267, 1920, 267, 12348, 267, 2123, 4690, 267, 543, 19647, 609, 519, 1710, 527, 8864, 540, 942, 269, 4635, 942, 3927, 3947, 519, 1268, 834, 577, 4069, 257, 593, 7836, 610, 5883, 2238, 693, 741, 1378, 942, 543, 11880, 3050, 269, 5384, 634, 13235, 6396, 1107, 19928, 3176, 676, 4432, 12578, 32298, 1306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1548, 616, 519, 2360, 540, 3983, 4189, 6208, 888, 268, 1215, 786, 594, 2087, 1250, 4189, 6208, 888, 268, 1772, 621, 15528, 547, 3548, 22938, 1426, 2899, 513, 3018, 888, 268, 1215, 1281, 4189, 22938, 1426, 1860, 707, 2634, 888, 268, 2052, 5253, 1261, 531, 2659, 10610, 888, 268, 1215, 666, 594, 32260, 1250, 2634, 888, 268, 1215, 666, 594, 2087, 1250, 2634, 1072, 888, 268, 1548, 616, 1434, 1426, 6208, 888, 268, 1548, 3536, 616, 3983, 585, 707, 2634, 888, 268, 4208, 568, 3728, 1426, 711, 1434, 888, 268, 6904, 4829, 568, 1655, 585, 2634, 888, 268, 1772, 19337, 1434, 585, 2634, 888, 268, 1548, 616, 519, 1283, 476, 276, 2634, 3536, 888, 268, 1772, 11197, 1434, 585, 2634, 888, 268, 1215, 798, 594, 3247, 2247, 1652, 4189, 888, 268, 1548, 3536, 2333, 4987, 888, 268, 1215, 1281, 519, 1426, 596, 3548, 1860, 596, 888, 268, 1548, 3536, 3049, 707, 2634, 888, 268, 1772, 5144, 1434, 585, 2634, 888, 268, 1548, 616, 519, 476, 276, 10782, 3536, 585, 3965, 888, 1432, 616, 519, 2360, 540, 3983, 4189, 6208, 888, 303, 3233, 4189, 6208, 971, 607, 13385, 6981, 610, 1164, 6981, 1312, 723, 8801, 2360, 593, 1072, 563, 4322, 2042, 1331, 8377, 267, 1164, 1973, 2604, 267, 1164, 8501, 267, 2295, 2068, 543, 8482, 267, 1826, 268, 273, 3987, 267, 21404, 543, 865, 593, 10756, 1692, 786, 594, 2087, 1250, 4189, 6208, 888, 276, 14168, 18467, 547, 13724, 2659, 7731, 779, 14856, 31346, 281, 10673, 1406, 18178, 14254, 269, 2659, 3993, 729, 1318, 282, 14254, 568, 519, 1034, 1271, 7594, 540, 519, 1554, 256, 2560, 5901, 2635, 16152, 593, 1688, 269, 29759, 267, 5388, 267, 10381, 267, 543, 2898, 9274, 616, 1390, 16152, 585, 17237, 3214, 269, 2560, 13772, 707, 13980, 269, 2560, 16202, 607, 513, 1920, 269, 2560, 5901, 1920, 6980, 2923, 6954, 563, 3674, 621, 15528, 547, 3548, 22938, 1426, 2899, 513, 3018, 888, 8133, 267, 596, 1590, 3548, 3728, 1426, 693, 2547, 2899, 513, 3018, 267, 543, 1100, 267, 596, 1810, 1406, 723, 547, 4625, 2285, 909, 22938, 1426, 269, 14856, 3728, 1426, 2899, 513, 3018, 5849, 602, 596, 616, 2111, 547, 2285, 707, 1560, 1018, 621, 2115, 1510, 31362, 621, 267, 543, 621, 849, 2337, 538, 20993, 10307, 676, 1818, 707, 1560, 6633, 811, 8477, 563, 1692, 1281, 4189, 22938, 1426, 1860, 707, 2634, 888, 6124, 1382, 6920, 602, 22938, 1426, 666, 849, 11874, 1860, 707, 3965, 269, 14068, 11326, 723, 1044, 5532, 547, 12110, 1813, 547, 1164, 1973, 2604, 543, 8501, 27200, 519, 1973, 3761, 547, 519, 2634, 269, 3194, 1631, 25495, 602, 22938, 3536, 666, 2061, 2634, 2281, 689, 14775, 5265, 547, 7378, 563, 4692, 5253, 1261, 531, 2659, 10610, 888, 6624, 3536, 267, 1519, 5613, 267, 5388, 267, 2635, 9600, 267, 543, 3940, 2959, 267, 723, 1044, 3254, 547, 2569, 6553, 267, 2087, 4761, 1599, 267, 3895, 7067, 267, 543, 1683, 519, 4492, 2556, 585, 596, 547, 1205, 593, 519, 544, 754, 269, 3371, 616, 476, 1015, 7067, 3536, 602, 666, 948, 707, 1560, 9156, 563, 1692, 666, 594, 32260, 1250, 2634, 888, 1015, 1160, 1597, 18467, 547, 5901, 519, 9650, 1744, 17369, 607, 1411, 6520, 19865, 585, 513, 8902, 2247, 269, 2560, 3367, 585, 7214, 14242, 269, 2560, 16202, 2635, 547, 12954, 707, 2634, 269, 2560, 5899, 633, 585, 1434, 14302, 269, 2560, 5192, 7899, 540, 3207, 547, 2087, 3965, 269, 2560, 7591, 3756, 610, 2721, 269, 2560, 19415, 547, 2575, 610, 1404, 606, 6293, 269, 2560, 6258, 513, 4914, 1893, 547, 5818, 5042, 8647, 21457, 3688, 2507, 31220, 1692, 666, 594, 2087, 1250, 2634, 1072, 888, 276, 4388, 547, 1832, 707, 2634, 2635, 19865, 5781, 269, 634, 1101, 3364, 594, 2995, 1250, 2550, 568, 547, 1832, 16706, 269, 2560, 5192, 7899, 540, 3207, 269, 12619, 4249, 606, 1271, 1909, 538, 707, 2634, 1072, 269, 2560, 16202, 513, 11335, 2732, 269, 2659, 2732, 4249, 513, 1804, 1909, 538, 707, 2634, 1072, 269, 2560, 13773, 15508, 3742, 269, 2560, 3816, 664, 13998, 3238, 563, 1432, 616, 1434, 1426, 6208, 888, 30395, 13245, 14856, 31346, 292, 520, 513, 3099, 540, 5388, 267, 2523, 4158, 3039, 267, 2699, 267, 543, 10538, 5388, 630, 274, 610, 811, 32122, 513, 1554, 1040, 292, 520, 513, 3099, 540, 5613, 630, 273, 610, 811, 32122, 513, 1554, 1040, 292, 520, 2898, 3766, 1778, 267, 1164, 1922, 9200, 3694, 338, 543, 24799, 630, 274, 547, 476, 277, 32122, 513, 1554, 1040, 2560, 27276, 3170, 6954, 610, 1970, 19339, 5144, 543, 3548, 1970, 19339, 10683, 2472, 21457, 3688, 7498, 1432, 3536, 616, 3983, 585, 707, 2634, 888, 763, 476, 278, 1937, 560, 16639, 585, 2659, 11020, 306, 1872, 776, 3220, 3855, 269, 9523, 593, 26964, 269, 2560, 4676, 1441, 2961, 2125, 269, 4676, 1441, 11950, 1331, 14836, 543, 3810, 9268, 9274, 267, 971, 607, 3043, 7912, 269, 2560, 16639, 4400, 538, 3690, 674, 1846, 269, 3690, 9600, 616, 513, 1826, 540, 5667, 18260, 3170, 602, 666, 723, 513, 17672, 1198, 593, 2634, 1072, 269, 2560, 4400, 569, 6713, 539, 16639, 269, 2560, 1306, 4820, 877, 269, 2560, 15850, 269, 2560, 12551, 4400, 538, 22358, 563, 3963, 568, 3728, 1426, 711, 1434, 888, 10303, 3728, 1426, 568, 1164, 538, 9770, 267, 15459, 3170, 267, 1098, 3170, 267, 543, 8501, 267, 621, 3884, 1406, 1945, 596, 1058, 3548, 1419, 269, 14856, 1932, 1454, 936, 513, 1279, 1974, 540, 942, 666, 1291, 547, 2152, 971, 607, 1164, 1973, 2604, 267, 2295, 2068, 267, 543, 13311, 2597, 2744, 563, 7617, 4829, 568, 1655, 585, 2634, 888, 1015, 8111, 29759, 585, 513, 13245, 11020, 2334, 15526, 18771, 5700, 269, 16440, 269, 2560, 9791, 11241, 269, 589, 3532, 2370, 4829, 267, 519, 4544, 9440, 568, 16041, 609, 1271, 8324, 543, 5567, 267, 1519, 14434, 269, 2560, 681, 5684, 11241, 269, 2560, 853, 3863, 11241, 269, 2560, 4563, 2017, 7847, 269, 2560, 717, 1905, 525, 269, 2560, 623, 727, 28699, 622, 269, 2560, 2997, 665, 15606, 21457, 3688, 2507, 31220, 3674, 19337, 1434, 585, 2634, 888, 22137, 1397, 4189, 20397, 948, 1053, 1451, 811, 7561, 543, 2087, 981, 8464, 269, 1358, 849, 2270, 6171, 645, 277, 267, 799, 8992, 519, 2504, 540, 22515, 267, 562, 648, 18090, 31058, 543, 22006, 547, 1489, 5834, 563, 1432, 616, 519, 1283, 476, 276, 2634, 3536, 888, 10932, 2982, 602, 519, 1655, 2634, 3536, 616, 519, 1482, 3283, 602, 2149, 707, 2295, 543, 1973, 8043, 267, 1519, 519, 1739, 281, 16675, 267, 21364, 5388, 269, 2560, 15310, 1399, 3165, 269, 2560, 7137, 1845, 269, 2560, 21281, 543, 6995, 269, 2560, 9546, 22756, 563, 3674, 11197, 1434, 585, 2634, 888, 7343, 956, 616, 1390, 585, 5329, 707, 1560, 543, 707, 2247, 2635, 256, 11153, 1382, 2090, 723, 5532, 4189, 13212, 547, 4824, 2634, 1072, 267, 1519, 513, 4389, 12614, 540, 31895, 17654, 3676, 899, 12216, 779, 543, 19576, 779, 563, 1692, 798, 594, 3247, 2247, 1652, 4189, 888, 1724, 3163, 5174, 17977, 9669, 547, 17547, 9650, 1652, 14856, 8196, 3308, 23106, 269, 2560, 674, 2948, 4130, 15004, 269, 2560, 2422, 4130, 10824, 543, 26339, 14296, 269, 2560, 28206, 848, 3099, 269, 2560, 5901, 930, 3536, 856, 540, 8289, 269, 2560, 21561, 519, 28842, 1466, 540, 4189, 269, 2560, 16202, 7444, 269, 2560, 7994, 707, 18226, 15274, 20617, 21457, 3688, 2507, 31220, 1432, 3536, 2333, 4987, 888, 280, 3536, 547, 3548, 547, 2285, 707, 2634, 513, 5818, 21946, 3000, 269, 20363, 568, 14095, 609, 15060, 268, 274, 9761, 7408, 267, 799, 616, 2629, 585, 2634, 2773, 269, 2560, 2997, 665, 5964, 269, 2997, 665, 15606, 2709, 513, 2603, 811, 982, 27598, 267, 8949, 8137, 269, 2560, 715, 7491, 269, 2560, 1975, 514, 778, 267, 22282, 267, 543, 824, 21364, 16719, 269, 2560, 7137, 1845, 269, 2560, 4414, 9174, 269, 2560, 2142, 753, 269, 2560, 14730, 10217, 21457, 3688, 2507, 31220, 1692, 1281, 519, 1426, 596, 3548, 1860, 596, 888, 2252, 649, 1205, 1932, 1454, 1426, 267, 610, 1426, 602, 3947, 938, 4703, 519, 4636, 5528, 267, 649, 666, 1831, 14968, 267, 896, 333, 712, 1639, 267, 543, 693, 1981, 585, 519, 1646, 540, 3676, 543, 2175, 267, 971, 607, 12263, 267, 3987, 267, 543, 2295, 2068, 269, 769, 2110, 267, 1018, 649, 3548, 568, 3844, 547, 938, 1072, 563, 1432, 3536, 3049, 707, 2634, 888, 1607, 2376, 7710, 519, 3621, 2963, 3297, 476, 1321, 540, 519, 1655, 2634, 3536, 20166, 1176, 3165, 269, 9523, 593, 26964, 744, 1176, 3165, 3568, 15060, 268, 274, 602, 666, 948, 5818, 2634, 1072, 269, 2560, 14730, 10217, 269, 14730, 10217, 3568, 23342, 267, 849, 1634, 607, 524, 659, 7776, 269, 2560, 7137, 1845, 269, 2560, 715, 7491, 543, 5452, 269, 2560, 19940, 9274, 269, 2560, 24334, 269, 2560, 2997, 665, 15606, 269, 2560, 3212, 534, 7491, 21457, 3688, 7498, 3674, 5144, 1434, 585, 2634, 888, 23087, 281, 589, 9756, 1063, 5144, 4616, 543, 519, 2157, 540, 513, 6923, 31507, 2590, 15934, 1572, 22965, 987, 7748, 538, 519, 2634, 814, 1044, 4362, 538, 4587, 267, 2635, 4079, 563, 1432, 616, 519, 476, 276, 10782, 3536, 585, 3965, 888, 763, 1937, 560, 16639, 585, 2659, 11020, 276, 1315, 476, 1321, 269, 10791, 590, 617, 553, 543, 3220, 3855, 2060, 14464, 21690, 22211, 269, 2560, 476, 277, 1315, 476, 1321, 269, 3943, 674, 1845, 543, 4033, 17054, 16639, 269, 2560, 476, 278, 1315, 476, 1321, 269, 667, 965, 22756, 269, 2560, 476, 279, 1315, 476, 1321, 269, 6519, 29968, 543, 6519, 19676, 269, 2560, 476, 280, 1315, 476, 1321, 269, 4414, 29133, 269, 2560, 476, 1015, 1315, 476, 1321, 269, 19643, 543, 9509, 6363, 520, 4258, 3150, 269, 2560, 476, 1556, 1315, 476, 1321, 269, 4210, 867, 8127, 543, 589, 6062, 570, 10044, 269, 2560, 476, 1321, 1315, 476, 1321, 269, 645, 2714, 1194, 667, 816, 902, 267, 3057, 514, 3547, 267, 543, 5204, 745, 1186, 21457, 3688, 2507, 1892, 0, 15447, 333, 585, 1010, 3860, 3942, 4287, 267, 4432, 807, 20673, 534, 729, 4535, 18379, 553, 20673, 656, 345, 13709, 537, 593, 5181, 476, 278, 267, 476, 5002, 280, 538, 31862, 267, 16368, 7276, 630, 852, 594, 30955, 267, 11894, 1040, 3502, 539, 585, 5373, 856, 519, 1655, 10565, 12644, 689, 1010, 11051, 267, 646, 9859, 476, 2641, 11051, 547, 30546, 9930, 5209, 267, 4611, 538, 8370, 17993, 269, 1261, 9859, 513, 5569, 540, 3811, 8874, 267, 1519, 589, 9335, 8364, 715, 3139, 2677, 790, 630, 4198, 272, 1070, 2201, 519, 4826, 12506, 630, 4198, 275, 1070, 543, 5101, 540, 3798, 523, 630, 4198, 276, 1040, 4438, 1010, 4876, 267, 646, 4465, 1079, 744, 2675, 1513, 607, 7454, 10615, 543, 4607, 606, 27254, 776, 30546, 267, 4465, 1614, 25414, 22952, 267, 543, 2185, 13642, 31248, 22952, 563, 14367, 8874, 941, 7255, 609, 2123, 610, 1514, 2152, 540, 2027, 6161, 547, 1864, 269, 20673, 534, 11339, 267, 968, 296, 1810, 1406, 1847, 8259, 594, 723, 930, 6568, 609, 519, 2596, 6249, 1848, 3571, 1101, 971, 968, 22568, 892, 4670, 729, 22918, 548, 2006, 779, 15716, 630, 3707, 278, 1070, 609, 27068, 3212, 1188, 267, 799, 18808, 609, 4550, 4149, 30146, 538, 3013, 269, 898, 4607, 476, 279, 30546, 9930, 5209, 543, 1614, 17993, 267, 1519, 20673, 534, 779, 1101, 585, 7454, 10615, 269, 898, 729, 4553, 676, 25968, 344, 630, 3707, 280, 1070, 835, 540, 519, 1101, 8874, 538, 13416, 21035, 547, 2232, 7292, 14882, 1996, 3109, 1004, 269, 589, 9335, 8364, 715, 3139, 2677, 790, 630, 4198, 272, 1070, 606, 9542, 540, 519, 3942, 1404, 799, 646, 1185, 849, 9859, 267, 4607, 476, 1321, 30546, 9930, 5209, 267, 10888, 2185, 267, 543, 729, 3057, 23127, 15952, 334, 779, 14634, 1909, 269, 769, 476, 4198, 275, 267, 646, 9859, 2201, 519, 4826, 12506, 630, 4198, 275, 1070, 513, 4670, 827, 9769, 13313, 593, 519, 1715, 3840, 22426, 1216, 12506, 269, 769, 476, 4198, 276, 267, 646, 9859, 3627, 23415, 20198, 779, 5101, 540, 3798, 523, 630, 4198, 276, 1070, 799, 5189, 6276, 25760, 547, 7260, 9458, 563, 288, 7432, 1448, 538, 20673, 534, 779, 4876, 3357, 609, 1010, 21981, 607, 513, 7198, 1354, 519, 5600, 9730, 593, 1133, 12677, 11242, 538, 476, 4198, 273, 693, 519, 942, 540, 519, 21035, 3109, 4289, 267, 799, 4547, 1864, 2178, 2942, 6547, 689, 1082, 12666, 2828, 543, 9164, 269, 3571, 21981, 5280, 1439, 519, 11678, 540, 5449, 9117, 9164, 24261, 2961, 2617, 20391, 543, 3203, 8055, 267, 2059, 609, 10678, 519, 960, 540, 31075, 1849, 858, 867, 13095, 1115, 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 ]
[ 540, 1455, 512, 1263, 550, 815, 476, 274, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2641, 692, 10521, 10580, 540, 3160, 2234, 4512, 5905, 608, 27238, 693, 513, 1448, 623, 269, 3245, 513, 1448, 570, 593, 519, 17242, 693, 623, 267, 8126, 757, 570, 304, 543, 13138, 616, 6537, 547, 519, 10580, 609, 2798, 540, 3346, 1627, 543, 681, 6606, 269, 634, 6935, 540, 570, 304, 543, 13138, 568, 30336, 1109, 263, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2641, 692, 4131, 1079, 10580, 609, 8998, 744, 543, 744, 262, 18953, 1142, 824, 693, 1448, 623, 269, 3245, 1448, 570, 17242, 570, 304, 543, 13138, 616, 6537, 593, 1079, 10580, 3160, 8953, 563, 2026, 649, 917, 1079, 17242, 6537, 689, 513, 5007, 2798, 616, 2141, 3160, 454, 3383, 267, 570, 304, 815, 570, 303, 3267, 263, 328, 994, 663, 570, 303, 815, 13138, 3267, 263, 4512, 994, 5228, 630, 328, 264, 543, 630, 4512, 1070, 570, 304, 815, 570, 303, 815, 13138, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2420, 692, 5723, 7374, 568, 513, 28023, 29105, 267, 9474, 568, 513, 8006, 540, 519, 5858, 269, 1403, 19110, 3722, 291, 815, 476, 2004, 4113, 267, 519, 1871, 540, 19110, 289, 4696, 568, 30336, 1109, 263, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2420, 692, 1103, 18529, 27398, 267, 19110, 3722, 289, 815, 476, 3445, 4113, 454, 30043, 19110, 3722, 289, 1341, 19110, 3722, 291, 21591, 3445, 4113, 266, 476, 2004, 4113, 815, 476, 9610, 4113, 454, 2026, 5086, 7154, 676, 6906, 454, 514, 12931, 22511, 568, 3160, 547, 476, 3445, 4113, 454, 30043, 769, 22712, 269, 13235, 291, 267, 19110, 289, 4696, 1341, 19110, 6195, 291, 815, 476, 5197, 4113, 630, 4120, 540, 1727, 269, 6292, 540, 22712, 568, 3160, 547, 476, 5197, 4113, 994, 4501, 510, 289, 4696, 815, 5197, 4113, 910, 476, 9610, 4113, 815, 476, 2412, 4113, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2537, 692, 763, 3259, 540, 17242, 630, 340, 696, 334, 519, 1448, 540, 3346, 264, 6537, 689, 606, 5007, 1448, 623, 547, 513, 5858, 540, 8953, 476, 276, 4699, 568, 476, 1321, 4699, 269, 634, 3845, 540, 623, 689, 519, 8998, 540, 519, 5858, 568, 5231, 630, 7704, 290, 595, 21923, 594, 560, 269, 590, 8636, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2537, 692, 4338, 568, 513, 17242, 543, 29314, 568, 513, 8953, 563, 11997, 267, 29314, 568, 2340, 488, 354, 693, 6673, 563, 3383, 267, 769, 18529, 302, 4338, 454, 8008, 273, 815, 29314, 273, 1341, 6673, 273, 815, 476, 7367, 1341, 476, 14338, 454, 8008, 273, 815, 476, 1839, 1341, 476, 13893, 815, 476, 15433, 454, 8008, 815, 476, 1724, 4699, 780, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2190, 692, 306, 728, 7460, 540, 18529, 27398, 568, 3812, 547, 667, 269, 1403, 19110, 3722, 291, 815, 476, 9610, 4113, 543, 19110, 27398, 815, 476, 274, 4501, 510, 289, 3722, 267, 1287, 1265, 19110, 288, 269, 1109, 476, 1109, 263, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2190, 692, 30043, 19110, 3722, 289, 815, 476, 5197, 23263, 1107, 476, 9610, 23263, 815, 476, 2412, 23263, 454, 1103, 476, 1109, 24941, 27398, 267, 19110, 289, 3722, 1341, 19110, 27398, 1341, 19110, 3722, 289, 815, 476, 5197, 23263, 454, 4501, 510, 289, 3722, 1341, 476, 274, 19110, 289, 3722, 1341, 476, 2412, 23263, 815, 476, 5197, 23263, 454, 275, 4501, 510, 289, 3722, 815, 476, 5197, 23263, 1107, 476, 2412, 23263, 454, 4501, 510, 289, 3722, 815, 1109, 9610, 270, 275, 815, 476, 3374, 23263, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 1839, 692, 288, 267, 645, 267, 623, 616, 1614, 2798, 593, 513, 5858, 2348, 8998, 744, 269, 1403, 19110, 302, 4338, 815, 476, 1839, 4113, 543, 19110, 15477, 303, 815, 476, 3374, 4113, 267, 1287, 519, 2268, 540, 19110, 288, 15477, 568, 5231, 630, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 1839, 692, 1103, 18529, 15477, 303, 780, 30043, 1109, 4501, 510, 15477, 303, 815, 19110, 8008, 289, 815, 476, 3374, 23263, 454, 1103, 18529, 288, 8008, 454, 30043, 476, 1109, 4501, 510, 302, 4338, 815, 19110, 302, 5183, 815, 476, 1839, 23263, 454, 3086, 267, 19110, 4338, 289, 815, 19110, 302, 5183, 1341, 19110, 8008, 289, 815, 476, 1839, 23263, 1341, 476, 3374, 23263, 815, 476, 2568, 23263, 454, 17798, 267, 19110, 288, 15477, 815, 476, 273, 4501, 510, 4338, 289, 454, 263, 7712, 267, 24234, 581, 2655, 2105, 676, 9095, 693, 8998, 568, 7466, 519, 5086, 5705, 754, 693, 519, 15943, 994, 284, 476, 273, 6398, 476, 2568, 23263, 815, 476, 6344, 23263, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2918, 692, 1103, 513, 6906, 267, 952, 1614, 31556, 616, 3160, 267, 1287, 519, 6906, 568, 5231, 630, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2918, 692, 4131, 18529, 27398, 568, 513, 31164, 6906, 540, 2427, 9474, 815, 7460, 815, 8028, 815, 476, 273, 320, 1770, 563, 4696, 267, 18688, 543, 18435, 616, 1614, 31556, 538, 519, 667, 27398, 2676, 1103, 31164, 6906, 19110, 288, 815, 19110, 289, 815, 19110, 290, 815, 476, 2568, 4113, 692, 20118, 267, 769, 18529, 3722, 293, 10484, 2080, 267, 649, 1205, 5084, 815, 18688, 815, 18435, 454, 17798, 267, 1614, 15820, 616, 3160, 454, 13295, 267, 6906, 1590, 581, 513, 31164, 6906, 780, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2767, 692, 288, 267, 645, 267, 595, 267, 667, 616, 2185, 2798, 593, 513, 5858, 269, 8028, 543, 30183, 12969, 693, 513, 1448, 661, 971, 602, 19110, 289, 4488, 815, 476, 9873, 4113, 543, 19110, 25929, 815, 476, 736, 4113, 269, 19110, 289, 3722, 568, 5231, 630, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2767, 692, 30043, 19110, 289, 4488, 815, 476, 9873, 4113, 454, 30043, 19110, 291, 4488, 815, 476, 5197, 4113, 1107, 476, 9873, 4113, 815, 476, 2004, 4113, 454, 30043, 19110, 3633, 290, 815, 476, 5197, 4113, 1107, 476, 2004, 4113, 1107, 476, 736, 4113, 815, 476, 8099, 4113, 454, 30043, 19110, 289, 3722, 815, 19110, 3633, 290, 815, 476, 8099, 4113, 454, 10490, 978, 956, 593, 519, 1482, 9095, 2020, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2764, 692, 288, 7299, 6529, 476, 1321, 4699, 1279, 5641, 338, 513, 14692, 476, 279, 4699, 1279, 593, 519, 2666, 269, 2311, 519, 1482, 942, 267, 513, 13486, 5641, 338, 513, 14692, 476, 2412, 544, 1279, 593, 519, 2666, 269, 634, 4463, 540, 519, 13486, 568, 1109, 476, 1109, 263, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 2764, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 3066, 692, 2252, 744, 581, 519, 4931, 1417, 516, 540, 513, 6906, 623, 304, 305, 543, 19110, 304, 3036, 815, 476, 8099, 4113, 267, 19110, 8008, 305, 815, 476, 1839, 4113, 267, 1287, 519, 2268, 540, 19110, 11266, 304, 568, 1109, 476, 1109, 263, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 3066, 692, 1103, 18529, 8008, 305, 267, 20525, 815, 10758, 815, 8953, 454, 4501, 510, 8008, 305, 815, 19110, 3036, 303, 815, 476, 1839, 4113, 454, 1103, 18529, 302, 304, 305, 744, 304, 815, 10758, 815, 8953, 454, 4501, 510, 302, 304, 305, 284, 19110, 3036, 304, 692, 30043, 19110, 11266, 304, 815, 19110, 24165, 1341, 19110, 3036, 304, 815, 476, 1839, 4113, 1341, 476, 3374, 4113, 815, 476, 2568, 4113, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 1789, 692, 763, 32377, 8028, 543, 30183, 540, 513, 28023, 29105, 13235, 291, 12969, 1142, 824, 693, 519, 1448, 623, 269, 3973, 267, 621, 568, 2141, 3020, 602, 1109, 476, 1109, 263, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 1789, 692, 2080, 267, 8028, 543, 30183, 616, 22334, 540, 519, 5858, 563, 30043, 6673, 1547, 8713, 815, 22680, 1547, 667, 303, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 4029, 692, 2252, 717, 568, 519, 1298, 5514, 540, 18529, 27398, 543, 1858, 540, 18529, 27398, 815, 476, 4366, 9492, 273, 267, 1287, 519, 1858, 540, 18529, 289, 24774, 568, 1109, 476, 1109, 263, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 4029, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 3953, 692, 1103, 513, 6906, 13235, 267, 19110, 288, 815, 476, 3445, 4113, 267, 19110, 290, 815, 476, 4649, 4113, 267, 5084, 2340, 488, 354, 7460, 1547, 1548, 568, 519, 1871, 540, 19110, 289, 4696, 286, 5231, 630, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 3953, 692, 4501, 510, 288, 815, 476, 3445, 4113, 267, 19110, 290, 815, 476, 4649, 4113, 454, 30043, 19110, 289, 815, 476, 3445, 4113, 1107, 476, 4649, 4113, 815, 476, 3374, 4113, 454, 30043, 19110, 289, 4696, 815, 476, 3445, 4113, 1107, 476, 3374, 4113, 815, 476, 4649, 4113, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 3451, 692, 301, 568, 519, 3723, 540, 519, 13902, 689, 513, 1448, 623, 540, 513, 5858, 609, 8953, 476, 278, 4699, 267, 593, 513, 8006, 9474, 540, 519, 5858, 269, 1403, 519, 3259, 540, 519, 16147, 623, 289, 568, 476, 1321, 4699, 267, 519, 3845, 540, 519, 1448, 715, 689, 519, 1448, 645, 568, 1109, 476, 1109, 263, 7704, 290, 595, 21923, 476, 272, 560, 23063, 269, 476, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 3451, 692, 5723, 815, 476, 1691, 4699, 267, 623, 289, 815, 476, 1321, 4699, 454, 4501, 510, 4338, 289, 815, 476, 3445, 4113, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 4097, 692, 2252, 519, 9095, 338, 540, 4009, 3259, 538, 1079, 10580, 5705, 754, 7285, 540, 476, 2568, 4113, 543, 476, 4037, 4113, 693, 741, 18013, 267, 519, 5223, 540, 741, 2234, 4512, 568, 630, 7704, 290, 595, 21923, 476, 273, 526, 23063, 269, 476, 1109, 1001, 274, 2020, 19547, 9229, 8827, 585, 9399, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 4097, 692, 7704, 290, 595, 21923, 19881, 5729, 5999, 281, 16387, 268, 476, 275, 910, 7726, 476, 3374, 692, 5804, 513, 1448, 623, 799 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4170, 585, 513, 2016, 1974, 267, 513, 2754, 666, 4625, 3382, 3294, 1996, 1022, 674, 311, 2557, 5322, 585, 602, 1974, 3248, 268, 634, 2754, 666, 6578, 538, 4434, 1510, 4250, 540, 519, 6578, 4742, 25619, 1813, 547, 674, 311, 5322, 3248, 268, 634, 4579, 568, 16155, 11006, 543, 1590, 581, 5645, 856, 1107, 1256, 952, 519, 674, 311, 3928, 2490, 856, 547, 581, 811, 7957, 24461, 982, 519, 2557, 26438, 585, 610, 952, 519, 2754, 27235, 9193, 922, 4914, 9304, 4170, 3248, 268, 24434, 2356, 5279, 513, 14167, 593, 1018, 789, 2503, 519, 2557, 547, 581, 693, 519, 4266, 538, 519, 2104, 630, 292, 3052, 269, 27539, 606, 2804, 1604, 1141, 674, 311, 3928, 10355, 1847, 543, 602, 27431, 325, 272, 267, 1822, 284, 259, 272, 269, 634, 4871, 949, 2503, 519, 1482, 2557, 547, 4341, 538, 476, 274, 3275, 685, 942, 855, 949, 4579, 609, 513, 2754, 547, 6133, 621, 9489, 693, 519, 2557, 540, 27431, 325, 272, 267, 1911, 284, 259, 272, 538, 476, 274, 3275, 1040, 634, 5544, 2557, 949, 2490, 856, 547, 581, 811, 610, 1447, 7957, 24461, 982, 519, 4464, 4579, 2557, 693, 519, 4266, 540, 15657, 269, 14992, 917, 713, 855, 1869, 4043, 547, 4283, 883, 674, 311, 4464, 11731, 269, 634, 2601, 568, 602, 676, 10024, 883, 674, 311, 4464, 11731, 267, 519, 3549, 917, 1018, 2557, 789, 666, 1205, 538, 519, 2104, 563, 1607, 23352, 1981, 269, 1403, 513, 2754, 609, 4914, 9304, 4598, 1281, 711, 21963, 1996, 519, 1981, 540, 674, 311, 2557, 5322, 267, 3854, 6990, 786, 13498, 519, 2754, 607, 2348, 513, 2362, 1981, 9043, 982, 1522, 6382, 581, 519, 2013, 543, 519, 2754, 779, 1942, 540, 3854, 786, 2333, 269, 7981, 2010, 540, 4464, 11731, 1572, 968, 29682, 18584, 4464, 11731, 892, 616, 2139, 269, 1452, 616, 2147, 547, 4464, 11731, 4849, 602, 519, 11731, 666, 581, 6192, 693, 1022, 1448, 1282, 513, 2039, 540, 7389, 269, 1717, 267, 789, 616, 1869, 16155, 11006, 543, 1590, 581, 6192, 693, 930, 1448, 1282, 519, 8815, 2039, 563, 2252, 621, 4523, 602, 513, 2754, 3112, 2347, 513, 4579, 267, 519, 1739, 3681, 616, 2139, 912, 268, 19171, 856, 519, 4579, 912, 10112, 2541, 513, 2754, 814, 26438, 609, 513, 2475, 18261, 547, 4444, 513, 695, 3612, 540, 23107, 585, 1269, 1911, 267, 1822, 693, 519, 1439, 540, 476, 1001, 272, 269, 769, 1931, 547, 2149, 3294, 1996, 9304, 15088, 267, 693, 519, 1439, 540, 476, 1001, 271, 621, 11731, 609, 519, 4871, 547, 4444, 1269, 1911, 267, 1822, 585, 27431, 325, 5780, 267, 1822, 267, 1822, 269, 1403, 519, 4579, 8813, 998, 585, 1022, 2601, 630, 4785, 18261, 4422, 22625, 1070, 519, 2754, 814, 519, 4781, 3274, 547, 4444, 519, 1269, 1911, 267, 1822, 689, 519, 4871, 607, 26438, 585, 543, 6133, 621, 1394, 547, 519, 4871, 693, 519, 1482, 2557, 269, 1717, 267, 4470, 593, 1018, 519, 5544, 2557, 568, 693, 519, 1439, 540, 476, 1001, 271, 267, 519, 2754, 1223, 1118, 513, 7443, 610, 2530, 593, 519, 11834, 563, 268, 6987, 754, 519, 4579, 912, 12648, 519, 1383, 2016, 1657, 4849, 602, 267, 3079, 540, 2469, 22625, 267, 519, 2475, 18261, 3112, 3761, 519, 23107, 2394, 476, 274, 3275, 2663, 982, 4397, 585, 930, 2601, 269, 634, 2754, 666, 8831, 519, 4579, 585, 1614, 3275, 269, 634, 2721, 3724, 609, 713, 1505, 568, 602, 519, 4871, 786, 5279, 513, 14167, 593, 519, 3312, 3902, 563, 20288, 793, 4354, 6275, 26840, 454, 1607, 568, 2147, 547, 513, 4464, 4579, 4849, 602, 519, 23649, 814, 519, 4781, 2901, 547, 3635, 519, 4781, 547, 4444, 270, 8688, 519, 4914, 9304, 610, 1450, 621, 547, 561, 8985, 563, 1607, 1505, 3322, 3843, 547, 2327, 602, 519, 1871, 540, 513, 2754, 779, 4914, 9304, 7221, 543, 20824, 616, 20083, 269, 661, 3052, 269, 1403, 513, 2754, 729, 10115, 538, 3959, 538, 519, 5177, 267, 621, 949, 3442, 547, 10210, 519, 7482, 538, 28238, 1782, 269, 1403, 519, 27431, 325, 1871, 540, 519, 3959, 729, 547, 4473, 270, 6420, 607, 513, 1267, 540, 513, 1847, 538, 674, 311, 3928, 267, 519, 27431, 325, 1871, 540, 519, 10211, 1131, 4473, 270, 6420, 676, 606, 6697, 2179, 563, 22117, 532, 543, 20698, 3101, 454, 15152, 713, 1505, 513, 2754, 13290, 547, 3589, 5322, 538, 519, 674, 311, 3928, 543, 942, 922, 6666, 1102, 869, 338, 543, 856, 6503, 338, 9935, 563, 2252, 513, 27431, 663, 534, 2754, 26770, 267, 2161, 267, 9489, 547, 7794, 1996, 519, 8071, 936, 519, 4947, 3923, 267, 621, 949, 6430, 547, 2628, 922, 2475, 18261, 5612, 1354, 9489, 1205, 1932, 7199, 269, 901, 949, 581, 2944, 1256, 952, 8569, 3884, 1406, 1813, 2394, 519, 1439, 540, 519, 3923, 563, 288, 18848, 3022, 8569, 568, 1500, 1141, 513, 2754, 568, 24584, 519, 4914, 9304, 547, 14020, 1996, 519, 6469, 9304, 269, 4475, 676, 7996, 513, 1247, 1354, 1818, 8569, 267, 519, 2754, 666, 4444, 519, 2838, 2179, 540, 4914, 9304, 14949, 563, 763, 1657, 4480, 568, 2356, 1152, 1031, 538, 6935, 547, 11033, 269, 898, 568, 711, 2356, 2009, 547, 942, 2256, 328, 14186, 563, 268, 4258, 777, 1505, 540, 15949, 3101, 1107, 8492, 543, 824, 476, 274, 6113, 6105, 711, 3238, 3248, 268, 2037, 1963, 513, 2754, 547, 7443, 689, 674, 311, 5322, 3248, 268, 2052, 581, 513, 19408, 1870, 3843, 547, 3589, 674, 311, 5322, 3248, 268, 2052, 1267, 538, 771, 1606, 15384, 30829, 14273, 3248, 268, 17290, 538, 2474, 540, 942, 18134, 1107, 513, 2754, 666, 1152, 7369, 519, 12557, 540, 922, 11033, 676, 513, 1906, 4374, 267, 1022, 811, 982, 602, 1223, 1267, 538, 1373, 647, 539, 676, 513, 18261, 563, 268, 10369, 5610, 8992, 519, 10073, 540, 2413, 2029, 543, 8569, 1949, 543, 13030, 17930, 563, 268, 29206, 2793, 3582, 3201, 11550, 297, 17614, 674, 2562, 23814, 454, 19061, 8804, 568, 8804, 585, 513, 1880, 1788, 267, 971, 607, 513, 9553, 267, 16749, 267, 18180, 267, 1379, 6728, 267, 6413, 610, 7890, 267, 799, 568, 1065, 4660, 689, 519, 6666, 32704, 540, 602, 1788, 563, 19061, 14104, 2553, 723, 1044, 1031, 593, 1082, 1164, 3491, 12803, 9746, 3785, 267, 1519, 16402, 18557, 1633, 269, 23207, 569, 267, 1788, 14104, 568, 9687, 607, 519, 9053, 4244, 547, 6671, 2409, 540, 14104, 5989, 543, 824, 1804, 8397, 3785, 18368, 563, 19061, 5685, 3496, 2882, 1620, 281, 8894, 268, 634, 4493, 585, 1788, 14104, 454, 268, 1215, 547, 5965, 519, 2883, 1544, 454, 268, 8178, 519, 24093, 454, 268, 5071, 519, 14104, 3575, 454, 268, 14780, 1047, 519, 7482, 454, 19061, 8804, 568, 1114, 689, 2757, 3029, 540, 8804, 1317, 519, 1710, 534, 857, 518, 21246, 958, 5654, 547, 519, 7221, 543, 8907, 540, 519, 1788, 538, 1931, 547, 5150, 543, 3028, 519, 10211, 269, 589, 1034, 1271, 1448, 547, 3314, 538, 1788, 14104, 568, 519, 8446, 267, 2079, 267, 14305, 543, 2359, 540, 1169, 1981, 2404, 609, 519, 1788, 269, 5685, 534, 857, 619, 543, 741, 9666, 619, 786, 979, 547, 8101, 3800, 547, 2327, 602, 519, 4220, 2404, 609, 519, 1788, 616, 4389, 610, 17515, 607, 2484, 607, 2009, 563, 763, 1942, 540, 1788, 8804, 568, 3622, 2362, 543, 621, 568, 811, 942, 10438, 585, 971, 8804, 547, 581, 3177, 563, 303, 6372, 4220, 2404, 609, 1788, 8804, 1131, 1331, 18737, 3040, 5741, 711, 1373, 8737, 593, 942, 267, 593, 6578, 267, 610, 693, 782, 454, 268, 5741, 711, 8647, 693, 922, 2407, 4390, 454, 268, 5741, 17528, 547, 5352, 6190, 8907, 547, 3028, 519, 7963, 454, 268, 5741, 26558, 1176, 2501, 547, 606, 1439, 454, 10376, 1788, 3947, 4473, 547, 922, 1378, 2189, 4220, 543, 8754, 13514, 922, 1378, 2189, 2591, 267, 4061, 538, 1169, 2013, 782, 6105, 543, 1346, 1443, 2358, 873, 991, 547, 957, 21176, 547, 2743, 1346, 2591, 543, 547, 3927, 543, 7561, 6922, 1047, 519, 4220, 22993, 538, 519, 1788, 538, 1931, 547, 2327, 602, 519, 1788, 14104, 786, 581, 513, 1967, 269, 0, 13707, 28946, 1080, 281, 476, 272, 269, 273, 14330, 4041, 267, 476, 272, 269, 273, 15979, 267, 476, 271, 269, 271, 17857, 15894, 267, 476, 271, 269, 271, 17857, 15979, 454, 20059, 580, 725, 676, 17864, 616, 606, 1898, 3693, 540, 1034, 25036, 269, 4521, 14636, 8495, 519, 6105, 543, 519, 5013, 5817, 519, 2013, 998, 519, 946, 540, 3791, 18407, 22602, 267, 2228, 19707, 267, 13844, 1857, 5638, 267, 5275, 519, 2504, 540, 5907, 10618, 267, 1519, 1257, 6835, 267, 543, 1454, 811, 269, 4746, 267, 17864, 3006, 991, 547, 8495, 741, 1378, 7218, 1107, 547, 26924, 2933, 540, 519, 2357, 13369, 540, 1978, 11269, 610, 950, 519, 15818, 31268, 519, 7817, 949, 581, 8362, 22801, 519, 15818, 269, 1452, 13753, 616, 711, 1510, 1981, 269, 15979, 3652, 3970, 1018, 17864, 666, 798, 543, 2161, 267, 543, 875, 519, 960, 1587, 540, 891, 13753, 949, 581, 1031, 269, 901, 1982, 786, 1683, 596, 609, 513, 4052, 3391, 547, 5683, 2152, 950, 17864, 2932, 13753, 563, 1892, 667, 14280, 540, 606, 18607, 547, 8495, 513, 2013, 1354, 25937, 513, 27779, 454, 1892, 968, 7093, 17856, 532, 892, 1107, 519, 7881, 540, 26760, 538, 13753, 454, 1892, 19078, 2152, 950, 513, 15818, 27180, 513, 7817, 1107, 543, 950, 621, 568, 31719, 2838, 454, 1892, 4762, 26555, 540, 1719, 538, 13753, 454, 1892, 19078, 2152, 538, 1514, 2923, 543, 2228, 19707, 1107, 543, 13844, 1257, 6835, 454, 1892, 2422, 540, 3791, 18407, 22602, 454, 1892, 7799, 14591, 593, 14236, 2818, 540, 513, 21139, 610, 21139, 7535, 454, 1892, 1879, 13753, 979, 1659, 787, 1107, 9015, 267, 24476, 267, 17181, 540, 2963, 5833, 454, 8923, 7227, 3267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3241, 3534, 267, 538, 476, 9610, 273, 267, 950, 789, 2366, 1312, 827, 476, 2537, 267, 543, 2322, 607, 9906, 540, 1010, 476, 3451, 263, 272, 3815, 585, 23963, 15823, 4690, 563, 296, 3592, 798, 16301, 540, 4647, 634, 7442, 665, 787, 13921, 267, 4640, 543, 476, 1556, 263, 278, 1053, 269, 1403, 1870, 267, 594, 9844, 8885, 950, 594, 1289, 14298, 8495, 711, 267, 799, 6941, 10748, 3218, 540, 1297, 269, 2943, 602, 1250, 1870, 568, 32010, 1631, 267, 1250, 5769, 666, 4268, 1101, 569, 547, 1250, 2009, 1884, 545, 528, 8306, 3450, 269, 634, 1433, 1310, 594, 7018, 519, 679, 9871, 14037, 3162, 16047, 2530, 267, 594, 729, 713, 856, 540, 519, 3759, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 20315, 308, 17803, 8121, 4811, 1299, 20591, 5746, 12195, 2562, 2464, 1315, 23008, 2524, 1315, 5081, 565, 3907, 2524, 1315, 5678, 5900, 6421, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 834, 763, 5295, 540, 27884, 281, 10289, 2271, 1493, 2561, 28328, 676, 22118, 333, 715, 2714, 720, 5016, 7072, 912, 5970, 596, 2479, 2219, 827, 1141, 707, 9660, 2097, 689, 286, 5808, 1500, 873, 267, 543, 875, 941, 789, 2813, 286, 3776, 1445, 538, 713, 1576, 1770, 786, 581, 593, 3695, 519, 4241, 1158, 540, 6752, 543, 7802, 998, 519, 7828, 540, 513, 7415, 1404, 1572, 834, 4504, 1493, 2561, 28328, 2437, 2854, 676, 8366, 20421, 31075, 22118, 333, 715, 2714, 720, 269, 1284, 3513, 4685, 883, 519, 9159, 9661, 540, 6480, 615, 267, 513, 9952, 3979, 1977, 9378, 560, 816, 2713, 538, 1715, 3840, 4975, 1282, 519, 2038, 476, 5002, 271, 338, 267, 607, 1352, 9909, 540, 4466, 2648, 543, 6679, 1200, 1378, 5898, 1612, 3271, 269, 1635, 6313, 713, 3532, 1650, 543, 922, 3197, 267, 649, 3513, 1451, 827, 1686, 267, 2528, 267, 543, 1018, 621, 1797, 547, 11654, 938, 9909, 5103, 14488, 780, 6637, 476, 272, 281, 24531, 22118, 333, 715, 2714, 720, 543, 4173, 7591, 834, 4504, 1493, 2561, 28328, 4840, 299, 2106, 333, 715, 2714, 720, 568, 513, 16805, 5856, 945, 814, 4607, 1082, 20380, 17758, 585, 1200, 960, 269, 7324, 891, 616, 1079, 17240, 12688, 30410, 8240, 585, 30765, 1765, 821, 585, 834, 305, 340, 1441, 2437, 799, 6645, 519, 3771, 8089, 2984, 540, 2021, 17005, 2112, 538, 519, 14891, 6243, 540, 22096, 267, 543, 1776, 585, 834, 306, 933, 520, 2437, 2519, 593, 12051, 4600, 6849, 2816, 9271, 8015, 4853, 7771, 538, 3013, 269, 2701, 781, 1256, 1044, 6444, 607, 513, 21184, 676, 519, 5839, 6635, 11037, 7690, 256, 2060, 834, 4504, 1493, 2561, 28328, 2437, 715, 2714, 720, 6770, 721, 513, 2295, 325, 3881, 1650, 6273, 676, 1200, 1360, 1378, 20516, 780, 6637, 476, 273, 281, 9373, 532, 519, 2622, 540, 6480, 615, 24759, 454, 15307, 615, 24759, 568, 693, 519, 4099, 540, 834, 4504, 1493, 2561, 28328, 1701, 1306, 513, 22064, 9378, 560, 816, 267, 1352, 5932, 4190, 896, 3258, 906, 585, 1585, 7218, 267, 1519, 14547, 3043, 1514, 2572, 543, 14382, 13699, 2324, 538, 2156, 1492, 3149, 269, 12389, 538, 513, 27756, 2777, 267, 6480, 615, 1032, 985, 585, 31070, 543, 2648, 1247, 9494, 2724, 547, 1376, 513, 2892, 517, 23695, 4481, 547, 3979, 1977, 2021, 269, 3414, 1200, 1915, 267, 649, 3605, 4798, 971, 607, 20440, 267, 1582, 2914, 2180, 267, 3961, 267, 543, 10072, 780, 6637, 476, 274, 281, 22960, 543, 1849, 5847, 538, 7216, 476, 5002, 271, 338, 1715, 3840, 4975, 454, 7628, 519, 942, 1974, 540, 834, 4504, 1493, 2561, 28328, 2437, 1004, 5116, 1390, 2956, 593, 741, 7802, 269, 898, 7000, 1454, 827, 741, 4567, 267, 5763, 267, 13567, 267, 543, 2686, 4282, 269, 7201, 3258, 906, 5129, 513, 1713, 1909, 1932, 267, 4543, 3337, 519, 1560, 2687, 547, 6848, 4441, 269, 1280, 1383, 267, 524, 832, 1115, 941, 1031, 547, 1711, 606, 5662, 6921, 817, 4137, 269, 3958, 267, 1114, 17234, 24829, 3982, 6835, 282, 16536, 6719, 17195, 267, 6466, 10412, 1522, 2303, 16566, 269, 5548, 557, 4514, 883, 1620, 519, 2495, 3297, 2326, 267, 4778, 267, 3270, 267, 543, 6163, 12816, 538, 1346, 2053, 780, 6637, 476, 275, 281, 17813, 267, 4147, 267, 543, 15215, 910, 589, 6733, 693, 4317, 12983, 454, 1103, 834, 4504, 1493, 2561, 28328, 2437, 649, 7237, 1950, 2152, 4478, 5198, 267, 1362, 267, 543, 4984, 269, 1452, 3344, 3310, 6480, 615, 781, 1272, 3460, 543, 4205, 609, 1866, 269, 6333, 875, 2486, 9763, 3979, 4892, 1282, 713, 5736, 3379, 547, 2221, 269, 25826, 519, 6788, 13684, 2390, 2043, 1759, 593, 741, 14227, 7555, 269, 14936, 267, 2263, 3909, 4978, 4371, 1287, 543, 1631, 543, 875, 5132, 5546, 6480, 615, 781, 2418, 543, 3664, 2429, 519, 1404, 780, 6637, 476, 276, 281, 5695, 940, 9293, 883, 8535, 910, 1323, 7358, 1738, 29675, 454, 12441, 596, 917, 602, 834, 4504, 1493, 2561, 28328, 257, 568, 1373, 9862, 883, 606, 22968, 286, 5994, 6217, 6480, 615, 781, 1093, 17257, 1913, 23475, 16965, 7258, 10565, 2575, 256, 28709, 10905, 2609, 540, 14364, 267, 13047, 2773, 267, 543, 15747, 9311, 2939, 269, 6258, 811, 827, 713, 2189, 1148, 1106, 543, 1946, 25803, 3442, 1978, 4773, 547, 5031, 1808, 4664, 1369, 513, 1650, 780, 6962, 912, 3528, 4974, 834, 4504, 1493, 2561, 28328, 257, 543, 18167, 883, 3584, 899, 6752, 267, 3140, 2796, 267, 543, 10296, 1514, 6927, 267, 596, 1831, 851, 540, 513, 3677, 6643, 17364, 5481, 269, 1411, 6443, 17024, 543, 15888, 1354, 596, 538, 11432, 1359, 2055, 827, 7862, 267, 2463, 267, 15683, 267, 543, 4126, 269, 1924, 1577, 781, 7832, 593, 713, 24084, 2287, 3408, 1927, 1107, 1310, 782, 267, 1169, 28630, 11438, 513, 1650, 7996, 547, 11200, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2690, 519, 6667, 585, 1200, 1404, 968, 4504, 1493, 2561, 28328, 2223, 5559, 520, 626, 22118, 333, 715, 2714, 720, 4769, 1406, 979, 2484, 281, 1352, 8359, 1200, 20516, 267, 513, 9378, 560, 816, 538, 1715, 3840, 4975, 1472, 519, 2490, 540, 519, 2063, 2540, 563, 21982, 1747, 538, 24607, 538, 476, 5002, 276, 267, 968, 4504, 1493, 2561, 28328, 892, 3947, 513, 4628, 7691, 17855, 540, 6480, 615, 267, 513, 4563, 9378, 560, 816, 945, 694, 9749, 14969, 896, 3258, 906, 689, 1200, 4055, 538, 513, 27756, 2777, 269, 2311, 476, 3374, 267, 6480, 615, 13922, 547, 1265, 2648, 543, 17990, 585, 513, 1554, 950, 1352, 666, 1930, 513, 5898, 1612, 3271, 602, 3032, 619, 547, 4563, 2021, 267, 8156, 873, 899, 28370, 563, 1607, 15964, 267, 20989, 31357, 308, 779, 2504, 540, 968, 4504, 1493, 2561, 28328, 892, 16125, 519, 3942, 267, 22805, 513, 1650, 540, 2648, 543, 20420, 602, 18953, 593, 5198, 267, 1362, 543, 4984, 563, 2690, 519, 796, 8181, 7007, 267, 715, 2714, 720, 568, 519, 1152, 4807, 547, 723, 4465, 519, 17240, 12688, 15356, 585, 30765, 7466, 630, 1721, 1200, 4249, 968, 305, 340, 1441, 892, 543, 968, 306, 933, 520, 892, 5148, 1352, 779, 849, 519, 18579, 540, 513, 5839, 6635, 11037, 968, 7049, 3780, 892, 26665, 23050, 543, 729, 3957, 835, 540, 5384, 12139, 779, 476, 1911, 4107, 14118, 1113, 4658, 538, 476, 1001, 280, 269, 3465, 1836, 267, 606, 1766, 1738, 9542, 540, 968, 4504, 1493, 2561, 28328, 892, 609, 1660, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 2038, 476, 3422, 271, 338, 267, 513, 1007, 5951, 540, 17933, 25626, 2066, 3013, 267, 23185, 676, 519, 3540, 2924, 3350, 543, 11685, 547, 519, 10476, 2782, 269, 901, 1974, 849, 4718, 519, 11944, 540, 519, 1977, 4095, 11873, 630, 288, 8379, 1070, 799, 8179, 547, 2232, 519, 11528, 30886, 543, 15746, 5185, 676, 7111, 4892, 269, 3642, 300, 781, 1935, 729, 3818, 1922, 14239, 267, 21214, 1463, 2962, 267, 2686, 11091, 267, 543, 2797, 14223, 269, 634, 3919, 5129, 513, 11358, 1909, 538, 5935, 4207, 6805, 3961, 543, 4187, 5322, 269, 1677, 4628, 9787, 519, 4644, 540, 3642, 300, 543, 922, 1764, 593, 5065, 2950, 267, 621, 568, 1898, 547, 2263, 922, 8129, 267, 1883, 5515, 267, 1713, 2621, 267, 543, 10952, 24598, 25751, 780, 11771, 1231, 543, 5853, 1049, 14313, 1384, 4263, 922, 4295, 267, 3642, 300, 7153, 689, 519, 25680, 14227, 2175, 6849, 1082, 7111, 1977, 31681, 1282, 519, 4571, 268, 736, 628, 2540, 269, 6431, 11962, 6710, 267, 13864, 267, 1016, 20598, 8027, 267, 543, 16283, 3782, 17275, 30891, 543, 7569, 585, 1689, 269, 5047, 267, 3140, 8194, 31827, 689, 5553, 540, 17091, 267, 7142, 882, 6327, 267, 543, 21939, 4507, 2451, 2620, 26711, 593, 6805, 5095, 269, 1452, 2188, 1071, 2297, 1027, 547, 1711, 513, 2916, 20009, 547, 9097, 2962, 543, 29065, 12180, 780, 7659, 22955, 1384, 15703, 7986, 3401, 22755, 3642, 300, 781, 2208, 543, 3310, 267, 1519, 667, 12447, 24434, 267, 595, 569, 1372, 5617, 548, 322, 22620, 267, 21651, 31283, 267, 543, 31996, 517, 5617, 548, 322, 22620, 269, 3962, 4547, 2189, 1983, 543, 5380, 547, 519, 3350, 267, 7175, 3642, 300, 547, 4497, 538, 3309, 3029, 540, 17933, 269, 1280, 3236, 267, 667, 12447, 24434, 5059, 593, 2146, 16882, 998, 2069, 543, 17035, 282, 595, 569, 1372, 5617, 548, 322, 22620, 15091, 3656, 2591, 543, 3609, 6963, 282, 21651, 6399, 781, 1347, 1143, 320, 13631, 2923, 3007, 543, 1857, 1489, 282, 1247, 31996, 517, 5617, 548, 322, 22620, 10981, 321, 1221, 3486, 3906, 547, 12167, 585, 6805, 2924, 269, 8625, 267, 891, 2043, 585, 3022, 513, 3532, 19710, 8149, 547, 14027, 7111, 1977, 1582, 24148, 780, 14294, 881, 656, 15638, 1384, 9961, 922, 1686, 267, 3642, 300, 7722, 538, 3875, 1164, 3491, 12803, 3527, 602, 27647, 1242, 1857, 6644, 543, 25997, 2229, 8041, 547, 11760, 741, 20494, 341, 1734, 269, 7324, 891, 941, 519, 13567, 540, 1325, 13906, 23432, 6816, 630, 3422, 280, 268, 10170, 5148, 519, 20417, 540, 7935, 5287, 6164, 625, 1286, 24170, 630, 3192, 273, 5148, 519, 654, 15903, 918, 26234, 10071, 630, 3192, 274, 5148, 543, 519, 7043, 652, 12532, 630, 3192, 279, 1040, 1635, 694, 1944, 1852, 540, 3090, 1227, 9901, 5624, 267, 27200, 1870, 607, 8912, 267, 543, 14053, 5188, 267, 3642, 300, 6707, 16668, 3084, 3007, 547, 519, 726, 697, 540, 7111, 4892, 269, 5015, 267, 891, 13720, 725, 27838, 17604, 1369, 6805, 2950, 543, 13934, 13416, 11994, 540, 7111, 1977, 2528, 543, 3961, 780, 4942, 3342, 28441, 7201, 335, 25751, 1384, 23338, 547, 3642, 300, 781, 6138, 729, 519, 3661, 602, 7111, 1977, 16285, 2838, 811, 982, 6071, 6284, 540, 14097, 2924, 282, 2864, 267, 621, 18796, 513, 4909, 6521, 538, 1379, 6384, 1063, 7087, 9082, 543, 519, 772, 2529, 269, 2229, 269, 1306, 971, 267, 3642, 300, 13994, 4327, 513, 5075, 540, 28160, 1436, 12082, 538, 29379, 532, 18577, 3338, 267, 26016, 1944, 2757, 10350, 3889, 267, 543, 5009, 2686, 11348, 269, 3958, 267, 3642, 300, 17947, 17740, 3599, 607, 513, 2556, 8671, 545, 585, 1198, 532, 6209, 1689, 1107, 513, 18879, 602, 1305, 621, 6306, 689, 824, 3540, 2924, 2516, 693, 519, 942, 780, 28757, 25684, 1384, 9213, 267, 3642, 300, 5170, 547, 8300, 1007, 5481, 540, 15628, 5275, 5126, 585, 7111, 1977, 2950, 269, 4706, 9371, 666, 581, 2938, 538, 5571, 9620, 1996, 4199, 10868, 3785, 17116, 10723, 4609, 267, 3646, 547, 1065, 27074, 622, 21687, 13742, 543, 1480, 3788, 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 ]
[ 2652, 476, 280, 1321, 912, 1038, 1820, 3488, 30525, 270, 280, 1321, 815, 476, 271, 269, 27123, 6795, 277, 5392, 272, 25248, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1724, 912, 1038, 1820, 3488, 30525, 270, 280, 1724, 815, 476, 271, 269, 27123, 26562, 23713, 271, 4366, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1691, 912, 1038, 1820, 3488, 30525, 270, 280, 1691, 815, 476, 271, 269, 24374, 280, 1015, 29257, 275, 5038, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1428, 912, 1038, 1820, 3488, 30525, 270, 280, 1428, 815, 476, 271, 269, 24374, 6321, 279, 27420, 18733, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1626, 912, 1038, 1820, 3488, 30525, 270, 280, 1626, 815, 476, 271, 269, 24374, 25375, 5881, 275, 26951, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1704, 912, 1038, 1820, 3488, 30525, 270, 280, 1704, 815, 476, 271, 269, 25313, 6434, 277, 6812, 277, 7597, 277, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1240, 912, 1038, 1820, 3488, 30525, 270, 280, 1240, 815, 476, 271, 269, 25313, 276, 5379, 279, 2412, 4817, 280, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 866, 912, 1038, 1820, 3488, 30525, 270, 280, 866, 815, 476, 271, 269, 25313, 21709, 279, 4097, 2568, 274, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 736, 912, 1038, 1820, 3488, 30525, 270, 280, 736, 815, 476, 271, 269, 20542, 279, 7597, 276, 4792, 24241, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 2641, 912, 1038, 1820, 3488, 30525, 270, 280, 2641, 815, 476, 271, 269, 20542, 276, 3953, 27157, 29710, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 2420, 912, 1038, 1820, 3488, 30525, 270, 280, 2420, 815, 476, 271, 269, 20542, 4198, 25375, 278, 5780, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 2537, 912, 1038, 1820, 3488, 30525, 270, 280, 2537, 815, 476, 271, 269, 29616, 5952, 280, 15150, 11152, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 2190, 912, 1038, 1820, 3488, 30525, 270, 280, 2190, 815, 476, 271, 269, 29616, 276, 2537, 3199, 280, 276, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1839, 912, 1038, 1820, 3488, 30525, 270, 280, 1839, 815, 476, 271, 269, 29616, 6245, 6245, 6245, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 2918, 912, 1038, 1820, 3488, 30525, 270, 280, 2918, 815, 476, 271, 269, 28143, 279, 4649, 29720, 276, 6507, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 2767, 912, 1038, 1820, 3488, 30525, 270, 280, 2767, 815, 476, 271, 269, 28143, 276, 2420, 14625, 31003, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 2764, 912, 1038, 1820, 3488, 30525, 270, 280, 2764, 815, 476, 271, 269, 28143, 6245, 277, 4649, 15094, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 3066, 912, 1038, 1820, 3488, 30525, 270, 280, 3066, 815, 476, 271, 269, 28906, 5952, 278, 26605, 278, 3451, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1789, 912, 1038, 1820, 3488, 30525, 270, 280, 1789, 815, 476, 271, 269, 28906, 276, 2918, 6434, 272, 7761, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 4029, 912, 1038, 1820, 3488, 30525, 270, 280, 4029, 815, 476, 271, 269, 28906, 3422, 6321, 273, 279, 3607, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 3953, 912, 1038, 1820, 3488, 30525, 270, 280, 3953, 815, 476, 271, 269, 27420, 279, 5780, 4817, 273, 8064, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 3451, 912, 1038, 1820, 3488, 30525, 270, 280, 3451, 815, 476, 271, 269, 27420, 276, 4343, 271, 5392, 24062, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 4097, 912, 1038, 1820, 3488, 30525, 270, 280, 4097, 815, 476, 271, 269, 27420, 20385, 25616, 13040, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 3374, 912, 1038, 1820, 3488, 30525, 270, 280, 3374, 815, 476, 271, 269, 25134, 6434, 273, 31134, 280, 6078, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 3607, 912, 1038, 1820, 3488, 30525, 270, 280, 3607, 815, 476, 271, 269, 25134, 27898, 27898, 4649, 277, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 4391, 912, 1038, 1820, 3488, 30525, 270, 280, 4391, 815, 476, 271, 269, 25134, 26631, 3393, 276, 10170, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 4343, 912, 1038, 1820, 3488, 30525, 270, 280, 4343, 815, 476, 271, 269, 19054, 3445, 275, 4962, 272, 15876, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 4375, 912, 1038, 1820, 3488, 30525, 270, 280, 4375, 815, 476, 271, 269, 19054, 6872, 280, 26552, 278, 2537, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 2412, 912, 1038, 1820, 3488, 30525, 270, 280, 2412, 815, 476, 271, 269, 19054, 14838, 29204, 14983, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 6078, 912, 1038, 1820, 3488, 30525, 270, 280, 6078, 815, 476, 271, 269, 24062, 280, 4029, 7176, 278, 27886, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 5655, 912, 1038, 1820, 3488, 30525, 270, 280, 5655, 815, 476, 271, 269, 24062, 2568, 280, 30130, 279, 2918, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 6246, 912, 1038, 1820, 3488, 30525, 270, 280, 6246, 815, 476, 271, 269, 24062, 27868, 23884, 278, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 4510, 912, 1038, 1820, 3488, 30525, 270, 280, 4510, 815, 476, 271, 269, 23714, 280, 5780, 6200, 277, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 3393, 912, 1038, 1820, 3488, 30525, 270, 280, 3393, 815, 476, 271, 269, 23714, 277, 3393, 2004, 273, 5038, 277, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 5379, 912, 1038, 1820, 3488, 30525, 270, 280, 5379, 815, 476, 271, 269, 23714, 23283, 6812, 272, 4375, 276, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 5325, 912, 1038, 1820, 3488, 30525, 270, 280, 5325, 815, 476, 271, 269, 23714, 24879, 28178, 8064, 278, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 4366, 912, 1038, 1820, 3488, 30525, 270, 280, 4366, 815, 476, 271, 269, 22145, 6924, 278, 278, 8287, 278, 1724, 5073, 825, 952, 1003, 272, 2652, 476, 30525, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 5392, 912, 1038, 1820, 3488, 30525, 270, 280, 5392, 815, 476, 271, 269, 22145, 3607, 280, 279, 8287, 26522, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 12010, 912, 1038, 1820, 3488, 27868, 270, 12010, 815, 476, 271, 269, 28760, 31229, 31229, 6434, 280, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3445, 272, 912, 1038, 1820, 3488, 27868, 270, 3445, 272, 815, 476, 271, 269, 28760, 276, 4097, 280, 8618, 15150, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3445, 273, 912, 1038, 1820, 3488, 27868, 270, 3445, 273, 815, 476, 271, 269, 28760, 8687, 279, 1240, 9264, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3445, 274, 912, 1038, 1820, 3488, 27868, 270, 3445, 274, 815, 476, 271, 269, 28766, 279, 3066, 3393, 278, 3607, 275, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3445, 275, 912, 1038, 1820, 3488, 27868, 270, 3445, 275, 815, 476, 271, 269, 28766, 5325, 278, 9262, 277, 11793, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3445, 276, 912, 1038, 1820, 3488, 27868, 270, 3445, 276, 815, 476, 271, 269, 28766, 14096, 5881, 272, 279, 2537, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3445, 277, 912, 1038, 1820, 3488, 27868, 270, 3445, 277, 815, 476, 271, 269, 22332, 6507, 278, 271, 6078, 280, 6246, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3445, 278, 912, 1038, 1820, 3488, 27868, 270, 3445, 278, 815, 476, 271, 269, 22332, 275, 2767, 4281, 274, 3445, 274, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3445, 279, 912, 1038, 1820, 3488, 27868, 270, 3445, 279, 815, 476, 271, 269, 22332, 5881, 280, 27768, 15150, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3445, 280, 912, 1038, 1820, 3488, 27868, 270, 3445, 280, 815, 476, 271, 269, 25628, 278, 4029, 6872, 274, 14991, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1015, 912, 1038, 1820, 3488, 27868, 270, 280, 1015, 815, 476, 271, 269, 25628, 29575, 277, 1428, 4343, 276, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 26605, 912, 1038, 1820, 3488, 27868, 270, 26605, 815, 476, 271, 269, 25628, 271, 4343, 275, 866, 29204, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1321, 912, 1038, 1820, 3488, 27868, 270, 280, 1321, 815, 476, 271, 269, 27183, 7597, 273, 7176, 273, 27174, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1724, 912, 1038, 1820, 3488, 27868, 270, 280, 1724, 815, 476, 271, 269, 27183, 4097, 279, 23714, 274, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1691, 912, 1038, 1820, 3488, 27868, 270, 280, 1691, 815, 476, 271, 269, 27183, 21916, 4391, 277, 3607, 279, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1428, 912, 1038, 1820, 3488, 27868, 270, 280, 1428, 815, 476, 271, 269, 27123, 5780, 272, 1708, 5908, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1626, 912, 1038, 1820, 3488, 27868, 270, 280, 1626, 815, 476, 271, 269, 27123, 28760, 6507, 278, 27840, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 1704, 912, 1038, 1820, 3488, 27868, 270, 280, 1704, 815, 476, 271, 269, 24374, 280, 6507, 271, 4200, 26801, 5073, 825, 952, 1003, 272, 2652, 476, 27868, 543, 1129, 2652, 26230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4503, 538, 5289, 14334, 543, 12735, 4240, 676, 1629, 976, 689, 1010, 6689, 269, 18521, 1901, 689, 13303, 5915, 976, 6645, 519, 1650, 540, 1010, 32049, 6370, 609, 519, 824, 2427, 543, 1010, 2699, 3319, 633, 9101, 689, 1629, 4577, 7060, 563, 14813, 334, 1299, 6435, 454, 1708, 273, 3689, 29759, 540, 27098, 269, 14645, 267, 2353, 7126, 27616, 563, 18850, 9084, 4741, 281, 476, 29710, 273, 570, 13715, 681, 323, 267, 15794, 7615, 267, 17834, 476, 4792, 278, 6187, 267, 7330, 269, 25439, 1341, 272, 476, 275, 1704, 476, 5379, 279, 476, 28638, 272, 282, 674, 1314, 1341, 272, 476, 275, 1704, 476, 5379, 279, 476, 28638, 276, 282, 570, 3326, 6954, 476, 8517, 476, 278, 4037, 476, 21878, 278, 269, 8433, 25980, 281, 631, 1180, 904, 1765, 1320, 2720, 17058, 2433, 476, 280, 600, 1700, 275, 10975, 282, 2605, 12156, 2433, 476, 280, 600, 1700, 272, 10975, 630, 290, 4306, 264, 0, 763, 12942, 2777, 568, 4092, 538, 519, 8498, 13660, 329, 820, 540, 717, 329, 752, 13960, 543, 729, 3710, 538, 519, 2473, 21197, 2540, 269, 634, 12942, 2777, 568, 6093, 585, 519, 968, 291, 4157, 698, 329, 7236, 9503, 5608, 799, 1797, 621, 6039, 585, 10821, 543, 6830, 2305, 5301, 269, 634, 23350, 568, 540, 2757, 2511, 269, 634, 12942, 2777, 5161, 540, 1079, 19683, 267, 2666, 6989, 602, 6039, 607, 513, 16933, 1117, 585, 12418, 543, 519, 1101, 6989, 1634, 607, 1920, 6989, 269, 634, 1101, 6989, 540, 519, 12942, 2777, 5161, 540, 2367, 12068, 609, 3595, 2897, 9232, 341, 582, 518, 892, 3330, 543, 705, 331, 1081, 1747, 538, 519, 10689, 3118, 563, 1805, 821, 2777, 568, 3710, 689, 6149, 1570, 609, 7516, 3677, 982, 8912, 267, 543, 519, 15174, 540, 519, 12942, 2777, 941, 1500, 540, 646, 1233, 10007, 269, 3955, 560, 527, 658, 1747, 568, 1500, 689, 3574, 20832, 540, 1804, 7516, 543, 519, 6989, 568, 21490, 609, 1544, 802, 269, 7457, 547, 519, 1101, 6989, 568, 998, 5007, 24383, 689, 519, 3574, 1570, 267, 609, 2427, 9849, 540, 8440, 4988, 609, 2757, 17981, 563, 8256, 3569, 910, 11808, 1568, 941, 1500, 538, 713, 12942, 2777, 267, 5631, 538, 9885, 267, 9486, 543, 8122, 269, 22365, 4403, 906, 543, 16081, 4771, 941, 849, 1500, 538, 519, 4070, 540, 26300, 527, 658, 1747, 269, 901, 12942, 2777, 814, 1100, 11188, 577, 1500, 540, 6149, 799, 1797, 267, 602, 621, 568, 519, 9510, 1826, 540, 12942, 8075, 267, 4070, 540, 8122, 568, 1500, 540, 3574, 4988, 609, 2757, 17981, 563, 15152, 10151, 4027, 267, 11261, 540, 10466, 281, 5239, 268, 1001, 273, 0, 2690, 1082, 1004, 267, 3636, 4365, 1797, 9205, 2238, 899, 10977, 543, 18147, 3046, 13069, 1132, 563, 3719, 7943, 666, 581, 513, 3659, 2443, 610, 535, 4141, 2443, 585, 1346, 2713, 609, 27728, 269, 10435, 2386, 596, 3442, 519, 1318, 3141, 23026, 585, 707, 6213, 2960, 666, 1611, 519, 3017, 1063, 606, 5863, 1554, 3544, 267, 543, 835, 602, 779, 17709, 540, 3781, 2742, 637, 563, 19187, 3141, 4027, 1282, 9205, 2238, 568, 1271, 585, 3025, 269, 1809, 1004, 609, 27728, 991, 547, 581, 3226, 6297, 563, 2252, 596, 723, 27728, 267, 596, 949, 723, 4862, 602, 4598, 547, 22292, 645, 630, 10013, 289, 264, 12345, 814, 2965, 1044, 3254, 547, 948, 609, 519, 16991, 2960, 2783, 563, 2108, 10013, 289, 12345, 616, 2965, 1434, 585, 1004, 609, 27728, 2223, 3081, 10496, 638, 5202, 5576, 3530, 518, 267, 11022, 267, 13653, 540, 5576, 1664, 16164, 3249, 269, 11158, 289, 12345, 948, 3500, 519, 2960, 2208, 543, 17766, 602, 4523, 609, 27728, 563, 3719, 1932, 1454, 3141, 4598, 2443, 540, 1312, 11158, 288, 543, 11158, 289, 12345, 2443, 666, 581, 513, 1966, 269, 968, 2252, 1004, 609, 27728, 616, 21467, 343, 12723, 267, 621, 666, 2965, 22009, 519, 2960, 2223, 5576, 3530, 518, 3081, 269, 968, 5445, 2461, 3063, 6213, 8957, 2576, 945, 3085, 1406, 723, 27728, 3034, 303, 23635, 849, 6140, 5540, 1004, 609, 14402, 2960, 18565, 945, 616, 2907, 811, 12155, 547, 3141, 14315, 563, 31936, 267, 1978, 6527, 1031, 547, 1521, 27728, 666, 2014, 2799, 6337, 27383, 269, 901, 2306, 513, 1268, 3141, 14315, 811, 3362, 563, 2690, 782, 891, 4128, 267, 9849, 3141, 23026, 950, 596, 723, 27728, 568, 2629, 269, 898, 779, 1271, 547, 3442, 20617, 2094, 2960, 949, 2907, 581, 8886, 730, 543, 6213, 563, 13014, 2386, 972, 616, 1100, 25158, 839, 267, 1100, 6101, 24957, 267, 543, 1100, 824, 2731, 2178, 29089, 2510, 563, 1765, 10496, 638, 5202, 5576, 3530, 518, 267, 11022, 454, 10287, 891, 4274, 4388, 1985, 942, 596, 2461, 10918, 585, 3141, 23026, 563, 272, 269, 5269, 2386, 596, 2461, 9140, 3141, 23026, 267, 711, 24429, 454, 2108, 306, 12584, 10547, 568, 1634, 547, 581, 12842, 883, 707, 2960, 267, 6466, 3141, 23026, 2965, 18795, 593, 1283, 540, 707, 2960, 543, 9356, 519, 11158, 12345, 2223, 5576, 3530, 518, 3081, 563, 6624, 2472, 616, 513, 7848, 540, 1312, 267, 865, 513, 1587, 13042, 968, 338, 12584, 10547, 892, 666, 1869, 723, 2614, 4027, 952, 621, 849, 3568, 3141, 23026, 269, 5871, 3141, 23026, 5820, 1331, 13058, 12547, 543, 24489, 8166, 563, 273, 269, 3680, 29089, 2510, 543, 6464, 454, 2108, 13014, 2386, 972, 616, 1100, 25158, 839, 267, 1100, 6101, 24957, 267, 543, 1100, 824, 2731, 2178, 29089, 2510, 602, 666, 581, 14124, 547, 519, 2960, 2223, 5576, 3530, 518, 3081, 269, 1452, 5820, 666, 8886, 622, 27728, 15649, 563, 274, 269, 1403, 596, 2461, 10918, 585, 513, 1126, 267, 1810, 1406, 4444, 3141, 23026, 609, 3773, 2681, 454, 5278, 3549, 1631, 2709, 11954, 610, 968, 4134, 1952, 8960, 2681, 892, 3141, 4565, 4169, 269, 14268, 1058, 2057, 9140, 891, 585, 1453, 609, 27728, 267, 5576, 3530, 518, 3081, 267, 607, 789, 666, 8886, 622, 2960, 563, 275, 269, 5213, 1406, 4444, 3141, 4565, 4169, 609, 3773, 1085, 757, 454, 3849, 4765, 6526, 27509, 666, 24395, 622, 519, 2960, 538, 1004, 609, 27728, 563, 276, 269, 16179, 9501, 293, 476, 1789, 610, 1657, 454, 10144, 609, 27728, 991, 1175, 607, 1454, 3141, 4027, 607, 16764, 3116, 269, 901, 568, 2523, 3020, 952, 789, 2461, 593, 6527, 602, 666, 2333, 741, 8417, 547, 519, 3141, 563, 9915, 293, 476, 1428, 3085, 1406, 1683, 2614, 4027, 2429, 519, 1554, 269, 968, 288, 2603, 540, 2090, 689, 519, 1977, 9142, 540, 32536, 1108, 723, 3254, 602, 9501, 293, 476, 1789, 568, 811, 2500, 585, 3476, 946, 607, 513, 3141, 23026, 2223, 5576, 3530, 518, 4967, 563, 277, 269, 6733, 585, 519, 6003, 2048, 321, 5802, 8552, 20371, 1607, 1611, 560, 515, 1587, 786, 2149, 1996, 1312, 11158, 288, 543, 11158, 289, 12345, 269, 4634, 1498, 11158, 289, 12345, 666, 581, 6225, 538, 8156, 27728, 267, 1004, 609, 519, 2783, 1058, 1869, 723, 3141, 23026, 593, 547, 2149, 1996, 1932, 1454, 4598, 547, 1312, 2010, 540, 12345, 563, 763, 3141, 4565, 4169, 593, 938, 1592, 941, 5402, 6074, 543, 17022, 1540, 269, 11374, 519, 5796, 689, 938, 4274, 267, 5576, 3530, 518, 267, 649, 6743, 585, 912, 268, 3141, 4565, 4169, 602, 1810, 1406, 1331, 1761, 8886, 1218, 899, 25158, 839, 267, 6101, 24957, 267, 14984, 29089, 2510, 267, 3773, 2681, 267, 610, 6526, 27509, 454, 268, 3141, 4565, 4169, 602, 1331, 519, 7777, 5820, 13058, 12547, 543, 24489, 8166, 454, 268, 3141, 4565, 4169, 602, 616, 3376, 8552, 543, 1683, 9501, 293, 476, 1789, 610, 2362, 4027, 454, 2171, 849, 5402, 2808, 6075, 8039, 267, 519, 5777, 540, 2472, 267, 543, 5697, 2472, 1152, 689, 11967, 12478, 563, 306, 12584, 10547, 666, 1831, 14427, 267, 607, 621, 779, 1945, 596, 5781, 946, 602, 3006, 2501, 538, 1507, 14569, 269, 1284, 2808, 3681, 689, 1114, 12478, 693, 513, 2039, 540, 5777, 267, 547, 3142, 519, 1655, 2009, 5542, 563, 306, 12584, 920, 839, 538, 713, 2376, 616, 7745, 1524, 593, 513, 3902, 829, 26412, 4493, 2687, 547, 519, 1739, 1883, 912, 268, 1269, 815, 896, 1269, 277, 829, 26412, 454, 268, 3230, 815, 1269, 278, 268, 1321, 829, 26412, 454, 268, 1269, 2330, 815, 811, 982, 1269, 1321, 829, 26412, 454, 2252, 596, 723, 27728, 267, 2119, 835, 540, 519, 1739, 2472, 602, 1500, 621, 998, 519, 1657, 24920, 543, 2250, 519, 4966, 563, 16032, 3141, 23026, 585, 27728, 585, 519, 3068, 543, 1560, 454, 289, 611, 3455, 6129, 31653, 31201, 454, 268, 12313, 281, 1269, 454, 268, 12025, 281, 476, 273, 269, 280, 268, 8784, 630, 9926, 4700, 11480, 454, 19913, 3530, 518, 15565, 713, 9501, 293, 476, 2412, 7777, 2861, 8645, 1317, 621, 779, 5667, 1417, 539, 543, 3085, 1406, 723, 24470, 610, 6464, 269, 898, 3096, 2185, 5820, 267, 543, 476, 7176, 2600, 540, 873, 616, 5214, 269, 1411, 666, 946, 713, 24429, 593, 1312, 707, 3068, 543, 1560, 563, 763, 14468, 1875, 8566, 19616, 4542, 2882, 796, 1723, 730, 13058, 12547, 693, 476, 2420, 269, 276, 2600, 267, 543, 621, 8591, 5214, 30011, 3282, 267, 5214, 10987, 342, 1314, 267, 543, 30011, 6171, 661, 585, 513, 5848, 584, 1944, 5818, 269, 634, 6216, 849, 3081, 621, 779, 3834, 334, 718, 1120, 21329, 543, 15347, 6954, 563, 763, 1587, 568, 2966, 547, 5706, 1216, 585, 476, 3199, 3764, 267, 855, 596, 3580, 1616, 547, 581, 13533, 543, 31272, 569, 1169, 476, 273, 3108, 563, 290, 7394, 11818, 3106, 568, 513, 2462, 6161, 585, 1082, 3141, 23026, 3755, 269, 634, 2754, 3081, 713, 1587, 568, 11818, 1606, 12522, 269, 4634, 519, 5663, 568, 10357, 7888, 2443, 519, 2754, 3081, 621, 779, 1500, 609, 476, 1911, 2600, 3859, 1379, 563, 8649, 7571, 2689, 619, 616, 24330, 609, 519, 2298, 267, 2523, 2016, 922, 10257, 3902, 269, 589, 1297, 5018, 602, 519, 4542, 568, 5394, 267, 865, 621, 949, 1491, 930, 23969, 31294, 547, 25837, 519, 1587, 856, 540, 519, 8546, 269, 1411, 949, 849, 991, 930, 3063, 942, 547, 6299, 621, 883, 707, 2960, 4625, 563, 16032, 512, 842, 539, 3141, 23026, 585, 27728, 454, 17442, 29157, 6261, 657, 599, 4165, 515, 2993, 657, 476, 2004, 25115, 8299, 571, 6441, 697, 6129, 31653, 29079, 454, 268, 12313, 281, 1269, 16465, 268, 12025, 281, 476, 272, 269, 278, 268, 9926, 269, 11480, 454, 1607, 1216, 15033, 1587, 267, 799, 568, 1863, 540, 24470, 267, 6526, 27509, 267, 3282, 267, 543, 6464, 267, 568, 835, 540, 5576, 3530, 518, 779, 979, 3562, 7840, 269, 898, 779, 513, 476, 1911, 2600, 7777, 24429, 602, 779, 2922, 585, 6213, 2960, 267, 543, 621, 779, 1875, 20411, 8328, 267, 865, 621, 4465, 1406, 24571, 707, 22405, 563, 1607, 24429, 568, 512, 842, 539, 609, 513, 1319, 974, 9096, 267, 799, 930, 949, 4782, 269, 1280, 1346, 945, 8910, 2864, 18178, 519, 512, 842, 539, 16657, 267, 972, 779, 606, 2150, 842, 539, 4528, 2139, 593, 519, 2754, 779, 3896, 563, 763, 24429, 568, 17426, 267, 1875, 3369, 527, 2287, 267, 543, 562, 784, 516, 6470, 267, 2687, 547, 519, 2754, 269, 634, 5354, 540, 8835, 2689, 619, 3100, 547, 3858, 621, 11974, 1346, 10833, 563, 3080, 24255, 689, 8835, 2689, 619, 827, 519, 512, 842, 539, 4528, 568, 602, 972, 779, 1152, 835, 12094, 2139, 269, 634, 512, 842, 539, 4528, 3085, 1406, 1331, 13058, 12547, 267, 1210, 3079, 24489, 8166, 267, 799, 949, 581, 513, 2721, 3724, 585, 930, 563, 16032, 3141, 23026, 585, 27728, 609, 6171, 595, 454, 291, 1069, 320, 661, 6129, 16470, 13068, 2098, 4532, 25115, 13813, 6363, 872, 6129, 31653, 9501, 293, 476, 1789, 454, 268, 12313, 281, 3230, 454, 268, 12025, 281, 476, 273, 268, 9926, 269, 11480, 454, 1607, 3376, 8552, 267, 3282, 6954, 3141, 23026, 568, 3114, 6954, 543, 3568, 6171, 595, 543, 3039, 7401, 267, 799, 666, 948, 2960, 9156, 1310, 3141, 4598, 269, 898, 849, 3568, 25695, 620, 4141, 2357, 320, 269, 1677, 2149, 596, 689, 11158, 288, 543, 11158, 289, 12345, 267, 713, 3141, 23026, 3096, 1875, 5991, 8457, 7777, 13058, 12547, 563, 763, 6216, 3081, 713, 4584, 11974, 513, 1297, 540, 824, 10833, 267, 607, 621, 779, 912, 16605, 538, 2247, 602, 930, 2689, 619, 2446, 533, 3739, 610, 890, 9934, 543, 513, 3043, 5641, 2443, 513, 1455, 267, 855, 1869, 21898, 16341, 267, 3815, 538, 7777, 10877, 920, 839, 563, 16032, 22406, 3141, 23026, 585, 27728, 454, 7804, 6064, 18479, 11244, 772, 3387, 571, 2701, 518, 16498, 11545, 16470, 9501, 293, 476, 1789, 454, 268, 12313, 281, 3230, 454, 268, 12025, 281, 476, 274, 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 ]
[ 519, 12354, 6782, 269, 834, 297, 517, 570, 3089, 5795, 803, 930, 1434, 24515, 267, 855, 594, 3494, 594, 3893, 713, 3010, 10870, 778, 21330, 24617, 269, 834, 11039, 267, 1577, 781, 1294, 1018, 519, 6060, 11568, 2161, 267, 5067, 269, 5457, 267, 3094, 610, 6336, 267, 649, 2141, 1451, 1945, 1007, 1169, 942, 649, 1900, 3330, 519, 21799, 3010, 5475, 3764, 540, 24736, 267, 519, 3045, 1735, 1356, 10294, 267, 834, 4517, 1869, 267, 707, 16771, 676, 8237, 3375, 1862, 289, 4629, 310, 301, 10590, 4014, 14281, 267, 9466, 5433, 8323, 11547, 936, 1864, 269, 1261, 7948, 1405, 948, 855, 5469, 875, 9602, 519, 26750, 1185, 1831, 269, 2368, 11655, 804, 11474, 1135, 7019, 1247, 1866, 6743, 25922, 780, 9617, 1287, 267, 3213, 778, 14059, 1864, 1586, 269, 834, 15124, 2816, 9522, 697, 267, 737, 1342, 334, 256, 1809, 3314, 267, 3006, 1919, 1810, 1405, 979, 938, 1259, 1256, 950, 649, 2119, 938, 1655, 269, 2334, 781, 851, 540, 1272, 269, 1411, 666, 1152, 1852, 707, 1378, 3646, 543, 10182, 3010, 15987, 4619, 16124, 267, 9466, 7691, 602, 1010, 1967, 13820, 539, 3787, 1562, 11548, 1813, 547, 519, 5304, 781, 5114, 269, 5020, 3884, 1405, 2141, 4023, 267, 543, 17993, 5749, 1405, 16798, 5103, 2324, 2182, 269, 16480, 267, 1565, 689, 2833, 1765, 31347, 2318, 610, 2942, 28934, 2629, 538, 2123, 2208, 543, 1646, 267, 1818, 721, 6793, 2043, 4712, 585, 2104, 2591, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 272, 269, 4438, 519, 772, 15598, 674, 697, 13957, 476, 6200, 2073, 9466, 7307, 547, 21102, 513, 11802, 1996, 13744, 570, 3089, 609, 513, 8237, 3375, 4586, 273, 269, 2311, 519, 772, 15598, 674, 697, 13957, 476, 6200, 13744, 570, 3089, 16309, 609, 513, 8237, 3375, 547, 21102, 513, 11802, 1996, 9466, 16317, 6701, 891, 1079, 5220, 22950, 29320, 540, 1142, 824, 888, 8133, 267, 891, 1079, 5220, 616, 22950, 29320, 540, 1142, 824, 269, 1358, 1312, 2995, 519, 1482, 1650, 827, 2576, 3957, 9466, 543, 13744, 570, 3089, 2348, 513, 4339, 1282, 772, 15598, 674, 697, 13957, 476, 6200, 267, 543, 9466, 10888, 609, 513, 8237, 3375, 269, 634, 5220, 946, 1114, 1913, 543, 2497, 267, 855, 789, 1611, 519, 1482, 3364, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 606, 3078, 3460, 883, 519, 1158, 540, 1975, 17202, 26344, 5852, 256, 1411, 1522, 581, 11842, 267, 834, 1432, 593, 3618, 568, 20085, 29890, 8119, 4270, 267, 1577, 781, 4685, 1318, 538, 543, 1265, 856, 2439, 5331, 596, 2811, 7555, 693, 519, 3345, 24504, 267, 3168, 1524, 693, 938, 4190, 4541, 3047, 269, 1411, 1294, 3515, 8220, 1114, 4872, 1472, 519, 8608, 267, 855, 3079, 540, 2786, 10092, 899, 649, 2356, 1589, 540, 267, 891, 3515, 1246, 519, 17208, 2627, 540, 519, 3047, 269, 1452, 616, 1572, 1390, 10580, 267, 543, 789, 666, 948, 721, 1174, 875, 9883, 960, 593, 513, 12106, 780, 3086, 267, 4952, 5373, 12730, 593, 519, 2627, 540, 519, 3047, 267, 1141, 1142, 7944, 630, 528, 14584, 264, 568, 4448, 676, 1390, 10580, 269, 4595, 519, 3047, 568, 5180, 267, 891, 12730, 786, 1413, 1360, 1114, 689, 519, 3283, 649, 2811, 1031, 547, 5373, 593, 6366, 4773, 540, 1957, 256, 901, 568, 1141, 20085, 29890, 2501, 538, 1107, 621, 781, 519, 1353, 540, 7285, 543, 13080, 593, 519, 2627, 540, 513, 12106, 780, 4131, 781, 2119, 513, 2241, 1383, 1927, 269, 5994, 1079, 27858, 1491, 1055, 689, 1715, 3840, 4975, 543, 5507, 267, 16144, 2509, 1142, 824, 269, 4256, 3804, 568, 547, 2743, 2047, 936, 519, 3345, 24504, 269, 5637, 14742, 8038, 2059, 1390, 10580, 2094, 1346, 616, 519, 20125, 11507, 593, 519, 8608, 269, 1215, 666, 649, 3313, 519, 5086, 693, 799, 789, 991, 547, 1689, 741, 8846, 547, 3914, 519, 1482, 1448, 1657, 519, 3345, 24504, 2496, 2414, 4194, 713, 1966, 267, 649, 1101, 991, 547, 8275, 602, 519, 6906, 4646, 676, 519, 1614, 2798, 910, 1715, 3840, 267, 5507, 267, 543, 519, 3345, 24504, 910, 6013, 7357, 593, 519, 2627, 540, 519, 3047, 269, 3767, 267, 649, 2268, 519, 7285, 1063, 519, 3515, 8220, 891, 4872, 543, 519, 1899, 2469, 998, 519, 3345, 24504, 269, 2060, 930, 2596, 1620, 540, 20085, 29890, 267, 649, 666, 5173, 519, 3169, 5870, 1448, 543, 519, 2838, 7432, 7285, 585, 1312, 8484, 269, 15346, 267, 1318, 31841, 1103, 5758, 267, 20085, 29890, 2337, 721, 2263, 4241, 2035, 5473, 5546, 6537, 593, 5895, 525, 2864, 982, 6366, 7252, 269, 1635, 1565, 922, 3741, 267, 596, 3513, 12260, 11580, 827, 12445, 267, 17651, 267, 543, 1256, 6189, 256, 5213, 1405, 5855, 282, 1100, 3781, 2742, 637, 1934, 1765, 3286, 6986, 7279, 543, 10761, 7996, 547, 581, 25793, 14414, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6602, 540, 1875, 7232, 16090, 22470, 9511, 538, 519, 476, 866, 628, 2540, 32753, 14944, 1441, 2757, 1523, 687, 540, 519, 6935, 1063, 6128, 543, 519, 1158, 269, 5502, 540, 14322, 602, 2168, 2230, 729, 519, 1641, 2339, 540, 9511, 267, 22697, 11840, 730, 3875, 4244, 22762, 1845, 7493, 569, 543, 18005, 267, 26865, 2933, 689, 4641, 543, 20932, 563, 7775, 24049, 609, 707, 5172, 813, 676, 1210, 519, 2232, 2630, 454, 763, 22301, 814, 1152, 835, 3781, 332, 732, 281, 547, 3409, 547, 723, 9863, 1945, 602, 2663, 7140, 856, 547, 581, 7301, 269, 1703, 616, 5215, 540, 5376, 916, 538, 5259, 9511, 267, 543, 1169, 2063, 835, 540, 873, 568, 2953, 269, 2334, 779, 1018, 6310, 15997, 616, 9277, 547, 798, 281, 9004, 1022, 1981, 540, 1373, 4636, 269, 1403, 713, 24915, 568, 19847, 267, 952, 15997, 616, 2887, 1043, 267, 1287, 1018, 779, 2451, 540, 6128, 286, 898, 1131, 25010, 3388, 563, 3719, 519, 3781, 332, 732, 3357, 3020, 538, 519, 476, 866, 628, 2540, 269, 1548, 1185, 1044, 2219, 547, 723, 1044, 15997, 941, 6534, 607, 2887, 9313, 269, 5440, 22697, 1185, 1500, 9073, 269, 27190, 1389, 256, 6145, 521, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8967, 17202, 26344, 5852, 257, 607, 851, 540, 834, 21316, 30388, 1315, 16387, 1315, 6348, 7232, 16090, 22470, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1599, 1109, 259, 325, 259, 282, 476, 273, 269, 513, 15164, 1305, 602, 568, 23756, 30548, 11741, 1269, 290, 10608, 3086, 875, 666, 594, 4584, 519, 1448, 538, 476, 1109, 259, 290, 259, 1109, 3602, 1269, 325, 259, 31267, 1109, 1492, 1109, 2381, 3065, 1871, 269, 1109, 293, 1168, 8292, 616, 538, 1931, 281, 476, 272, 269, 519, 1362, 540, 5688, 14184, 3252, 1269, 325, 259, 568, 1454, 8273, 630, 320, 5276, 1599, 568, 23756, 543, 1114, 4192, 5148, 476, 273, 269, 259, 290, 259, 568, 1454, 8273, 538, 930, 2631, 267, 22112, 630, 810, 11741, 264, 4874, 1117, 6425, 630, 810, 23756, 264, 616, 3579, 267, 855, 649, 798, 2154, 1269, 290, 259, 547, 581, 22112, 543, 585, 519, 796, 8181, 7007, 267, 1589, 540, 11741, 1373, 22112, 543, 602, 16526, 616, 2141, 540, 519, 1106, 4399, 28254, 259, 610, 4399, 19008, 259, 543, 711, 7453, 1269, 283, 259, 610, 1269, 285, 10608, 1411, 666, 1152, 723, 4834, 602, 616, 5276, 630, 528, 3413, 710, 264, 1317, 281, 4399, 346, 343, 281, 535, 3287, 6661, 271, 315, 4151, 568, 23756, 952, 543, 1152, 952, 1269, 325, 259, 568, 3413, 710, 630, 1410, 9052, 32656, 1325, 2431, 267, 1934, 568, 519, 5690, 1384, 1892, 17292, 1109, 320, 1448, 1269, 343, 318, 271, 22174, 595, 259, 563, 1892, 19244, 713, 912, 272, 269, 30770, 519, 13506, 1269, 326, 281, 7807, 10109, 5055, 535, 3287, 4671, 7751, 454, 273, 269, 30770, 1269, 338, 281, 7807, 1173, 315, 2381, 3709, 338, 22174, 595, 348, 338, 317, 307, 326, 14204, 274, 269, 5590, 1269, 343, 3709, 339, 266, 272, 13157, 263, 272, 10559, 24472, 4671, 32589, 4671, 10954, 24472, 318, 1206, 6911, 303, 10107, 1269, 343, 318, 271, 259, 28812, 711, 2965, 2838, 267, 2094, 1900, 476, 273, 269, 786, 19037, 1118, 519, 1985, 621, 4733, 547, 581, 538, 1269, 290, 259, 865, 602, 779, 3579, 269, 2334, 5012, 721, 547, 519, 1739, 5863, 8343, 281, 14322, 602, 649, 666, 12337, 1269, 326, 259, 21230, 1134, 267, 649, 723, 9247, 10736, 513, 22357, 630, 8117, 23756, 264, 11938, 883, 513, 3126, 540, 11938, 2042, 609, 5276, 1599, 1109, 7474, 1008, 2406, 4780, 2471, 256, 1403, 1269, 290, 259, 568, 513, 4874, 28353, 267, 1287, 649, 4194, 513, 29486, 693, 1142, 21767, 269, 19627, 267, 649, 786, 1294, 875, 547, 3442, 519, 1900, 7306, 1269, 271, 315, 19008, 1422, 24472, 4671, 315, 19008, 476, 272, 259, 950, 649, 1294, 519, 6169, 269, 1924, 10416, 519, 5690, 693, 513, 1360, 1164, 1377, 568, 11141, 952, 1900, 476, 273, 269, 1109, 4754, 581, 2944, 3728, 267, 621, 7140, 856, 602, 713, 568, 3020, 585, 1109, 28236, 2042, 538, 3684, 1565, 630, 296, 3580, 2022, 930, 8100, 2663, 6393, 3519, 591, 10885, 281, 1284, 786, 1175, 1865, 519, 1034, 2596, 19427, 6169, 269, 594, 1058, 2446, 602, 2603, 540, 960, 814, 8854, 883, 1818, 519, 5690, 5488, 543, 519, 6169, 811, 512, 7660, 538, 2489, 543, 538, 1808, 2665, 269, 2271, 30698, 569, 267, 952, 1269, 325, 259, 568, 5276, 267, 1287, 649, 616, 2944, 538, 835, 21767, 676, 4259, 4399, 24472, 318, 272, 284, 272, 8961, 9983, 586, 599, 256, 901, 5267, 602, 649, 991, 513, 2268, 540, 519, 5276, 640, 540, 519, 1599, 267, 1577, 779, 1289, 621, 1269, 298, 6958, 8961, 519, 22441, 3586, 540, 1269, 325, 16859, 14240, 281, 1269, 298, 6958, 281, 7807, 338, 1575, 3709, 343, 11971, 22174, 595, 12101, 10401, 22174, 314, 271, 267, 272, 316, 348, 1422, 2765, 346, 272, 7346, 10401, 317, 273, 4153, 3847, 6600, 12169, 9984, 263, 344, 14870, 8203, 307, 315, 10109, 5055, 535, 3287, 9984, 325, 3287, 264, 1422, 2431, 22491, 15368, 1227, 621, 2268, 875, 827, 519, 5276, 19406, 568, 585, 513, 2016, 1599, 1269, 325, 259, 593, 519, 15164, 1305, 1269, 290, 16859, 14240, 281, 634, 16423, 324, 12242, 4399, 18652, 3287, 7751, 568, 3989, 607, 4399, 18652, 3287, 2567, 7807, 2381, 3709, 338, 22174, 595, 348, 535, 3287, 11924, 263, 338, 14870, 8203, 307, 326, 259, 1141, 1269, 326, 281, 7807, 10109, 5055, 535, 3287, 7751, 780, 2171, 752, 667, 7081, 281, 4399, 18652, 3287, 9385, 19008, 535, 12169, 7751, 585, 782, 1269, 343, 11971, 22174, 595, 16859, 27893, 281, 6875, 1022, 1269, 343, 11971, 22174, 595, 10608, 1635, 519, 6922, 1436, 1109, 514, 519, 4214, 540, 4399, 18652, 3287, 29408, 649, 723, 602, 10484, 7445, 18652, 3287, 9385, 19008, 535, 3287, 11924, 263, 344, 14870, 8203, 307, 326, 315, 19008, 535, 12169, 22491, 3602, 519, 2034, 8635, 568, 1813, 547, 519, 23756, 640, 540, 1269, 325, 10608, 4399, 338, 13645, 6911, 291, 523, 1774, 519, 2215, 531, 268, 706, 531, 7934, 693, 1269, 343, 259, 676, 1269, 331, 3287, 7751, 3989, 607, 10484, 259, 331, 3287, 2567, 284, 325, 3287, 9984, 315, 18652, 3287, 21174, 10946, 3709, 344, 22174, 595, 12917, 343, 3917, 8203, 307, 326, 6911, 3383, 267, 676, 4617, 546, 7081, 649, 723, 602, 267, 1269, 331, 3287, 9385, 28254, 535, 3287, 9984, 325, 3287, 317, 265, 9385, 28254, 476, 271, 10608, 2060, 891, 649, 6961, 513, 1900, 8797, 6454, 538, 519, 1871, 540, 519, 6662, 1599, 780, 3721, 3772, 6454, 281, 1280, 1022, 1269, 343, 3709, 339, 266, 272, 348, 281, 284, 343, 4671, 10954, 24472, 4433, 14870, 4671, 7751, 609, 17062, 1900, 2450, 4399, 24472, 22174, 314, 271, 267, 272, 316, 8961, 649, 723, 602, 10484, 259, 325, 3287, 3709, 339, 266, 272, 348, 9385, 19008, 535, 3287, 4671, 9984, 315, 24472, 561, 3287, 4671, 264, 10954, 24472, 317, 273, 298, 6958, 6911, 27893, 281, 1109, 4131, 1269, 343, 281, 284, 343, 4671, 267, 586, 281, 284, 343, 3709, 339, 266, 272, 13157, 343, 10954, 24472, 4433, 14870, 30879, 3245, 519, 4214, 540, 1269, 298, 6958, 8961, 692, 7445, 24472, 317, 273, 298, 6958, 315, 28254, 535, 12169, 9984, 263, 344, 14870, 8203, 307, 315, 10109, 5055, 535, 3287, 9984, 325, 3287, 22491, 7445, 15153, 284, 325, 12169, 9984, 315, 24472, 4433, 14870, 8203, 307, 315, 10109, 5055, 535, 3287, 9984, 325, 3287, 22491, 305, 1168, 3876, 519, 1657, 8635, 543, 1210, 519, 4214, 540, 1269, 331, 3287, 7751, 649, 723, 602, 10484, 259, 325, 12169, 9385, 19008, 535, 3287, 9984, 315, 24472, 561, 3287, 264, 10954, 24472, 317, 273, 918, 6958, 315, 15153, 1422, 338, 13645, 16859, 14611, 19427, 281, 1269, 325, 3287, 3709, 339, 266, 272, 348, 9984, 325, 3287, 317, 265, 9385, 19008, 1422, 24837, 346, 302, 4153, 3847, 7268, 2765, 346, 298, 6958, 7346, 6912, 346, 339, 14990, 2431, 22491, 27893, 281, 16294, 1269, 327, 3287, 2567, 284, 325, 3287, 9984, 325, 3287, 317, 265, 30879, 2422, 519, 1900, 3772, 6454, 19790, 2742, 543, 946, 15632, 269, 1280, 519, 15632, 1900, 946, 519, 1900, 7306, 4399, 24472, 4671, 7807, 2765, 346, 273, 2410, 339, 266, 273, 23201, 570, 7495, 302, 281, 5685, 880, 519, 6169, 609, 519, 3877, 269, 4399, 338, 13645, 16859, 7230, 10225, 281, 476, 272, 269, 3143, 991, 547, 946, 513, 1900, 2450, 4640, 607, 538, 1082, 824, 6620, 1317, 540, 519, 24441, 3268, 3278, 282, 476, 273, 269, 19427, 568, 7168, 3500, 538, 2489, 2094, 621, 568, 1016, 15035, 282, 476, 274, 269, 6169, 4422, 998, 952, 596, 3442, 547, 946, 1109, 1467, 3406, 2994, 263, 1721, 1383, 267, 18896, 324, 2175, 264, 607, 1134, 282, 476, 275, 269, 10261, 1269, 298, 6958, 259, 547, 581, 1507, 610, 693, 2547, 22112, 585, 519, 19427, 547, 960, 269, 8921, 942, 649, 786, 1294, 930, 1806, 269, 0, 5472, 827, 6083, 984, 548, 1923, 1187, 8631, 1923, 5192, 513, 1863, 669, 2660, 7901, 1923, 5131, 10084, 29441, 1923, 2997, 520, 1513, 454, 829, 14658, 639, 12297, 9623, 692, 10815, 20537, 476, 1001, 276, 630, 16829, 593, 476, 1001, 276, 268, 6021, 268, 2420, 994, 763, 1599, 535, 568, 3989, 593, 519, 2318, 9981, 607, 5205, 912, 272, 269, 535, 263, 272, 264, 815, 476, 272, 267, 543, 912, 273, 269, 535, 263, 273, 333, 264, 815, 535, 3799, 1070, 952, 562, 568, 1256, 267, 543, 912, 274, 269, 535, 263, 273, 333, 264, 815, 476, 273, 265, 325, 3799, 1070, 952, 562, 568, 9642, 267, 543, 912, 275, 269, 535, 263, 273, 333, 1341, 476, 272, 264, 815, 476, 273, 265, 325, 3799, 264, 1341, 476, 272, 267, 952, 562, 568, 1256, 267, 543, 912, 276, 269, 535, 263, 273, 333, 1341, 476, 272, 264, 815, 535, 3799, 1070, 952, 562, 568, 9642, 267, 543, 912, 29991, 519, 1297, 540, 2318, 9981, 562, 799, 616, 1447, 982, 476, 1001, 276, 543, 723, 519, 3959, 602, 535, 3799, 264, 815, 535, 263, 1001, 276, 6393, 3143, 8827, 8616, 4427, 4784, 676, 918, 590, 15115, 24473, 28951, 281, 476, 275, 269, 1822, 271, 630, 272, 16018, 2020, 4467, 906, 281, 630, 7982, 547, 6085, 1592, 1923, 1411, 1590, 581, 29429, 538, 547, 2022, 8292, 8094, 556, 263, 273, 2567, 2780, 3070, 4534, 3843, 547, 2491, 621, 19410, 476, 274, 540, 476, 274, 11406, 263, 1103, 16253, 547, 556, 281, 2780, 3070, 676, 7603, 2020, 22998, 689, 519, 1599, 7603, 1336, 267, 543, 1287, 4724, 713, 25276, 4214, 1384, 2252, 535, 3287, 264, 568, 3989, 607, 519, 9352, 4528, 609, 12673, 540, 20422, 476, 272, 781, 8719, 676, 513, 2582, 476, 272, 543, 12673, 540, 476, 271, 781, 8719, 676, 513, 2582, 476, 271, 267, 1142, 269, 3973, 1384, 2252, 562, 568, 1256, 267, 535, 3799, 264, 7475, 538, 513, 2582, 4642, 267, 543, 535, 263, 273, 333, 264, 786, 849, 1439, 538, 513, 2582, 4642, 267, 607, 519, 4642, 2813, 676, 519, 6521, 2451, 786, 581, 12842, 883, 2705, 1279, 513, 3126, 540, 21325, 562, 8694, 538, 269, 4746, 535, 263, 273, 333, 266, 272, 264, 786, 723, 513, 476, 272, 813, 2105, 547, 535, 3799, 1070, 865, 602, 781, 513, 6521, 2451, 6025, 18556, 3320, 2870, 513, 5595, 4642, 264, 543, 1039, 540, 476, 272, 267, 799, 568, 1175, 476, 273, 265, 325, 3799, 11924, 272, 780, 2252, 562, 568, 9642, 621, 7475, 609, 513, 9352, 476, 272, 269, 8935, 17331, 621, 10593, 621, 2451, 6028, 513, 4642, 3787, 813, 2105, 547, 519, 3312, 535, 3799, 1070, 865, 535, 263, 273, 333, 6661, 273, 265, 325, 3799, 1040, 1656, 535, 263, 273, 333, 11924, 272, 1175, 5932, 835, 811, 538, 1022, 5569, 540, 476, 272, 781, 693, 519, 1439, 267, 855, 602, 781, 10736, 547, 513, 2582, 476, 272, 19037, 267, 6028, 535, 263, 273, 333, 266, 272, 264, 815, 535, 3799, 6393, 325, 263, 272, 264, 8197, 568, 476, 272, 267, 543, 519, 3652, 1450, 4466, 535, 3799, 264, 585, 1022, 562, 269, 1627, 3633, 780, 10955, 1243, 593, 5181, 476, 2537, 267, 476, 1001, 276, 267, 476, 274, 281, 6812, 10681, 454, 17397, 676, 24898, 593, 476, 1001, 276, 268, 6021, 268, 2537, 476, 1428, 281, 6321, 281, 5379, 692, 8923, 2845, 538, 912, 8298, 514, 281, 10426, 5320, 281, 5457, 803, 281, 6178, 909, 256, 1923, 1280, 326, 582, 10957, 692, 9612, 281, 9612, 1560, 912, 2690, 4548, 630, 271, 994, 6124, 652, 10819, 454, 305, 24655, 9046, 454, 11902, 304, 1923, 6168, 901, 13505, 454, 306, 924, 10803, 454, 6124, 22227, 630, 274, 994, 308, 985, 9407, 10819, 454, 12749, 681, 730, 10819, 454, 1607, 3923, 781, 1283, 454, 7197, 1290, 7757, 2201, 692, 30942, 614, 7901, 912, 15648, 9736, 476, 1220, 273, 910, 476, 1001, 280, 676, 1323, 574, 639, 623, 716, 636, 31173, 269, 2353, 2924, 11603, 269, 21041, 6176 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1280, 3236, 267, 972, 616, 849, 11013, 268, 4403, 269, 769, 713, 2376, 649, 1616, 547, 1445, 1152, 593, 11013, 2173, 817, 563, 763, 11013, 568, 538, 946, 538, 519, 15875, 543, 2136, 2276, 22232, 1949, 540, 7403, 269, 28900, 267, 713, 1770, 568, 1031, 849, 538, 1776, 1949, 269, 634, 3090, 540, 519, 11013, 568, 18470, 610, 968, 563, 2467, 568, 1100, 10855, 4214, 540, 519, 3486, 1285, 7546, 16632, 12251, 11013, 269, 898, 568, 3160, 476, 271, 269, 28526, 30020, 4391, 13532, 269, 2290, 1285, 7546, 16632, 12251, 11013, 666, 581, 5258, 547, 476, 1626, 1285, 7546, 16632, 12251, 13728, 543, 476, 10384, 271, 9274, 563, 763, 1285, 7546, 16632, 12251, 11013, 729, 8045, 538, 519, 1284, 2074, 543, 21474, 2920, 476, 3422, 274, 269, 634, 4214, 540, 713, 1770, 729, 2016, 538, 1101, 3296, 540, 713, 957, 281, 968, 763, 13452, 610, 519, 25451, 4927, 581, 519, 1770, 540, 6482, 540, 3259, 543, 519, 11013, 610, 519, 11304, 4927, 581, 519, 1770, 540, 6482, 540, 2527, 676, 4704, 547, 799, 1022, 6482, 5473, 513, 6482, 540, 3259, 610, 2527, 4927, 581, 1500, 538, 519, 2136, 8003, 282, 543, 268, 630, 320, 264, 519, 13452, 4927, 581, 476, 271, 269, 280, 1691, 275, 25451, 4010, 282, 630, 321, 264, 519, 11013, 4927, 581, 476, 271, 269, 28526, 30020, 4391, 11304, 4010, 3034, 763, 1034, 7811, 3296, 568, 2907, 3297, 721, 269, 769, 1985, 851, 649, 1616, 547, 2995, 596, 875, 1454, 568, 476, 7830, 269, 6872, 4846, 547, 7273, 269, 3767, 596, 917, 602, 476, 7830, 269, 6872, 4846, 815, 1535, 7273, 269, 1924, 621, 568, 1164, 942, 547, 1205, 519, 2626, 269, 5620, 513, 1413, 912, 7830, 269, 6872, 11304, 815, 476, 15389, 269, 280, 6246, 26801, 18357, 275, 6550, 563, 2005, 568, 606, 4977, 1267, 540, 875, 1454, 476, 7830, 269, 6872, 4846, 547, 11013, 269, 1411, 949, 849, 5180, 1055, 519, 1267, 269, 2991, 621, 707, 1267, 568, 607, 1739, 281, 476, 7830, 269, 6872, 4846, 815, 476, 15389, 269, 4792, 275, 7273, 563, 2791, 917, 476, 7830, 269, 6872, 4846, 568, 875, 1082, 7273, 267, 865, 723, 513, 1413, 875, 1082, 4846, 476, 7830, 269, 6872, 7273, 281, 476, 7830, 269, 6872, 11013, 815, 476, 271, 269, 28526, 30020, 4391, 13532, 563, 301, 6334, 267, 713, 942, 596, 666, 849, 5180, 1055, 519, 1267, 269, 2991, 621, 707, 6364, 568, 607, 1739, 281, 476, 7830, 269, 6872, 18470, 815, 476, 271, 269, 3393, 4846, 338, 563, 2171, 616, 849, 2469, 547, 1397, 596, 476, 7830, 269, 6872, 4846, 547, 875, 1082, 6550, 543, 476, 7830, 269, 6872, 11013, 875, 1082, 4846, 2164, 538, 7515, 269, 2913, 779, 1294, 912, 2171, 1616, 547, 1376, 609, 513, 3349, 585, 875, 1454, 568, 476, 7830, 269, 6872, 4846, 3160, 547, 11013, 563, 347, 298, 559, 9999, 630, 11899, 10534, 303, 2432, 630, 331, 321, 10534, 303, 2432, 630, 331, 2125, 264, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 10245, 19064, 2432, 1475, 298, 559, 9999, 1475, 298, 559, 9999, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 2008, 3086, 596, 4121, 875, 1082, 476, 7830, 269, 6872, 4846, 547, 7273, 543, 875, 1082, 13532, 476, 7830, 269, 6872, 11013, 267, 865, 621, 568, 942, 547, 1847, 593, 547, 519, 476, 7830, 269, 6872, 4846, 547, 7273, 4542, 563, 2414, 6460, 476, 7830, 269, 6872, 4846, 547, 721, 7273, 596, 991, 513, 4542, 269, 1284, 616, 2469, 547, 1397, 596, 1079, 12596, 269, 2913, 779, 1376, 609, 519, 1101, 835, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 476, 15389, 269, 280, 6246, 26801, 18357, 275, 1267, 538, 6550, 454, 763, 1101, 4528, 540, 513, 4542, 786, 2285, 596, 519, 1034, 3169, 6364, 269, 769, 930, 2665, 1256, 519, 10545, 3017, 1223, 581, 9645, 269, 1924, 952, 596, 1616, 547, 1205, 606, 3169, 1267, 910, 713, 4542, 786, 581, 519, 1655, 585, 596, 270, 641, 5406, 547, 5173, 875, 1082, 6550, 616, 6697, 547, 476, 7830, 269, 6872, 11304, 563, 3383, 1577, 779, 979, 547, 519, 1776, 4528, 540, 513, 4542, 267, 799, 849, 6087, 9273, 547, 917, 875, 1454, 476, 7830, 269, 6872, 11304, 538, 6550, 563, 763, 2034, 4542, 568, 1524, 2630, 267, 1413, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 6364, 538, 6550, 454, 2026, 596, 666, 1294, 267, 713, 4542, 568, 12863, 269, 898, 666, 581, 519, 1655, 3903, 952, 596, 1616, 547, 1118, 513, 7503, 540, 476, 7830, 269, 6872, 11304, 547, 6550, 538, 2653, 1259, 267, 585, 1383, 267, 1282, 10918, 269, 1411, 1152, 723, 547, 3314, 602, 3803, 1267, 786, 581, 711, 865, 3169, 563, 3086, 649, 1616, 547, 1451, 596, 875, 547, 946, 891, 1079, 12596, 538, 2259, 269, 1809, 1354, 649, 786, 1118, 513, 7503, 540, 476, 7830, 269, 6872, 4846, 547, 7273, 649, 1616, 547, 1397, 596, 1776, 1259, 547, 917, 476, 7830, 269, 6872, 4846, 547, 875, 1082, 7273, 1510, 1022, 4674, 563, 2304, 4443, 1259, 547, 917, 1018, 568, 476, 7830, 269, 6872, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 7830, 269, 6872, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 888, 3519, 591, 614, 568, 606, 3498, 269, 18185, 568, 1759, 593, 3476, 4528, 540, 513, 4542, 799, 649, 4951, 596, 538, 519, 3105, 851, 540, 713, 2376, 269, 9603, 547, 476, 7830, 269, 6872, 4846, 11013, 9498, 596, 666, 3533, 6460, 476, 7830, 269, 6872, 4846, 547, 7273, 269, 1411, 1152, 723, 547, 4283, 1297, 540, 13532, 799, 596, 1616, 547, 6460, 543, 4945, 2048, 935, 3200, 685, 7735, 269, 1411, 786, 1205, 519, 1267, 538, 513, 2034, 563, 3383, 1577, 779, 2119, 547, 6460, 476, 7830, 269, 6872, 4846, 883, 7273, 609, 946, 540, 476, 7830, 269, 6872, 4846, 5288, 11013, 9498, 269, 1284, 9411, 476, 7830, 269, 6872, 607, 606, 2179, 540, 13532, 269, 898, 568, 519, 1267, 281, 476, 7830, 269, 6872, 11304, 815, 476, 15389, 269, 280, 6246, 26801, 18357, 275, 6550, 563, 2026, 596, 666, 1294, 267, 938, 476, 7830, 269, 6872, 4846, 5288, 7273, 20303, 568, 865, 3274, 547, 946, 563, 3086, 649, 616, 2469, 547, 938, 8783, 1888, 910, 875, 547, 6460, 476, 7830, 269, 6872, 13532, 547, 6550, 593, 707, 1378, 563, 2171, 616, 2469, 547, 1376, 476, 7830, 269, 6872, 11304, 11224, 547, 875, 1082, 6550, 9819, 609, 519, 1101, 4528, 540, 513, 4542, 547, 1205, 519, 1034, 4977, 1267, 269, 589, 2656, 12576, 540, 513, 4542, 912, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 15389, 269, 280, 6246, 26801, 18357, 275, 519, 6364, 538, 6550, 454, 3383, 1018, 991, 596, 798, 547, 917, 875, 1082, 6550, 3160, 547, 476, 7830, 269, 6872, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 538, 713, 2013, 476, 7830, 269, 6872, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 4010, 476, 15389, 269, 280, 6246, 26801, 18357, 275, 269, 1924, 476, 7830, 269, 6872, 11304, 568, 3160, 476, 15389, 269, 280, 6246, 26801, 18357, 275, 563, 2005, 568, 849, 2009, 547, 5180, 621, 1055, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 898, 568, 476, 273, 269, 736, 269, 1924, 476, 7830, 269, 6872, 11304, 815, 476, 15389, 269, 4792, 275, 271, 6550, 563, 2005, 568, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 6460, 476, 7830, 269, 6872, 4846, 4154, 538, 6550, 269, 1924, 476, 7830, 269, 6872, 4846, 3160, 547, 875, 1082, 7273, 286, 1306, 538, 519, 3105, 1383, 910, 9062, 476, 7830, 269, 6872, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 15389, 269, 280, 6246, 26801, 18357, 275, 269, 1924, 6697, 540, 476, 7830, 269, 6872, 13532, 547, 6550, 267, 950, 621, 2501, 547, 4154, 267, 568, 476, 15389, 269, 280, 6246, 26801, 18357, 275, 563, 1103, 713, 1383, 596, 666, 849, 5180, 1055, 519, 1267, 269, 901, 568, 519, 1267, 1310, 24263, 1055, 267, 713, 942, 547, 835, 8918, 1747, 910, 476, 7830, 269, 6872, 11304, 476, 15389, 269, 4792, 275, 6550, 563, 3086, 1577, 779, 1847, 593, 547, 1806, 10736, 609, 2110, 4542, 563, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 912, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 15389, 269, 4792, 275, 519, 1267, 538, 6550, 454, 3383, 476, 7830, 269, 6872, 4846, 3160, 547, 875, 1454, 7273, 286, 1306, 538, 519, 3105, 1383, 596, 991, 547, 9062, 2179, 540, 11304, 267, 713, 942, 476, 7830, 269, 6872, 267, 676, 476, 273, 269, 273, 269, 6733, 281, 476, 7830, 269, 6872, 2608, 476, 273, 269, 273, 815, 476, 15389, 269, 4792, 275, 269, 1924, 476, 7830, 269, 6872, 11304, 568, 3160, 476, 273, 269, 273, 6550, 563, 13014, 1776, 9819, 609, 946, 540, 13272, 337, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 1383, 267, 476, 7830, 269, 6872, 4846, 547, 7273, 2597, 540, 22229, 563, 3383, 1577, 779, 6460, 910, 476, 7830, 269, 6872, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 15389, 269, 4792, 275, 6550, 540, 22229, 269, 1924, 476, 7830, 269, 6872, 4846, 547, 11013, 2527, 568, 4010, 476, 15389, 269, 4792, 275, 563, 2252, 596, 4121, 875, 1454, 568, 476, 7830, 269, 6872, 11304, 2597, 538, 6550, 543, 666, 5173, 621, 609, 946, 540, 1079, 1114, 12596, 267, 649, 666, 1847, 593, 269, 3767, 649, 1616, 547, 1397, 596, 782, 2164, 538, 12125, 563, 2171, 917, 602, 2164, 3254, 538, 12125, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 2164, 538, 12125, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3362, 1118, 513, 6476, 476, 7830, 269, 6872, 4846, 6697, 547, 7273, 4093, 563, 24375, 609, 513, 476, 7830, 269, 6872, 4846, 11224, 7273, 5750, 585, 519, 1101, 4542, 912, 347, 298, 559, 9999, 1475, 303, 2432, 1475, 303, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 10245, 4517, 1631, 1294, 476, 7830, 269, 6872, 4846, 3160, 11013, 5750, 585, 519, 2034, 4528, 540, 513, 4542, 912, 2026, 596, 666, 1294, 267, 1310, 24263, 1055, 267, 950, 621, 2501, 547, 875, 1454, 476, 7830, 269, 6872, 11304, 11224, 6550, 267, 519, 2164, 616, 711, 1114, 269, 634, 8273, 2179, 519, 811, 1713, 3017, 269, 5457, 621, 950, 596, 1616, 547, 1118, 8273, 2179, 982, 476, 7830, 269, 6872, 13532, 6550, 7503, 563, 3086, 596, 917, 875, 547, 6460, 476, 7830, 269, 6872, 13532, 875, 1454, 6550, 855, 649, 786, 1397, 596, 1945, 811, 269, 1684, 596, 1616, 547, 917, 1018, 621, 568, 286, 1548, 798, 596, 2161, 827, 476, 7830, 269, 6872, 11304, 547, 6550, 543, 13728, 9819, 888, 2171, 616, 2469, 547, 1397, 596, 875, 596, 666, 5173, 621, 2370, 676, 2370, 269, 10670, 269, 1215, 1454, 568, 476, 7830, 269, 6872, 4846, 538, 7273, 543, 12063, 888, 5575, 1919, 1101, 910, 596, 991, 547, 9062, 2179, 540, 13532, 267, 538, 713, 2013, 476, 7830, 269, 6872, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 7830, 269, 6872, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 15389, 269, 280, 6246, 26801, 18357, 275, 269, 2290, 11304, 568, 3160, 476, 273, 269, 14225, 25118, 7830, 6550, 563, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 2013, 972, 616, 476, 273, 6550, 563, 2414, 5173, 875, 1454, 476, 7830, 269, 6872, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 991, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 568, 3160, 476, 27628, 31256, 4572, 13728, 563, 3383, 3803, 1267, 568, 3160, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 1411, 666, 849, 5180, 1055, 13728, 267, 585, 1383, 267, 547, 1079, 4025, 269, 3973, 3803, 1267, 568, 3160, 476, 273, 6550, 543, 476, 3451, 13728, 563, 2026, 596, 666, 1294, 267, 9819, 476, 7830, 269, 6872, 11304, 538, 6550, 543, 13728, 2653, 563, 763, 2063, 9819, 799, 649, 786, 1397, 596, 568, 7503, 540, 476, 7830, 269, 6872, 3723, 6550, 547, 13532, 7397, 269, 5637, 540, 873, 616, 4559, 540, 960, 563, 2414, 6460, 3723, 6550, 547, 11304, 7397, 621, 568, 2877, 1776, 4542, 269, 6969, 649, 2285, 596, 713, 4542, 267, 723, 513, 1413, 912, 3086, 1294 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 3885, 269, 634, 15858, 9866, 13996, 7143, 3699, 3872, 3377, 267, 1153, 3377, 267, 5961, 267, 543, 2621, 676, 552, 2173, 9430, 1200, 693, 18078, 17106, 11333, 3820, 269, 0, 24445, 320, 561, 25788, 723, 1114, 10096, 4470, 593, 741, 2681, 269, 11910, 320, 561, 25788, 666, 581, 1031, 547, 1397, 14696, 267, 25621, 267, 543, 7071, 269, 898, 849, 1797, 26454, 2523, 952, 519, 1289, 320, 561, 1176, 568, 3043, 269, 4746, 267, 621, 568, 513, 8799, 23972, 547, 7249, 7806, 3634, 2576, 543, 547, 2285, 873, 513, 1289, 320, 561, 1176, 609, 16858, 540, 1434, 9939, 269, 11910, 320, 561, 25788, 2097, 538, 11909, 267, 5835, 267, 3043, 267, 13711, 267, 543, 3109, 563, 24445, 320, 561, 25788, 991, 547, 723, 1434, 8654, 267, 543, 1434, 3037, 267, 543, 991, 547, 581, 22274, 856, 950, 596, 2030, 873, 538, 519, 4677, 269, 4475, 267, 594, 729, 6273, 547, 2721, 1289, 320, 561, 25788, 585, 713, 3923, 779, 1863, 7801, 3817, 269, 1452, 7801, 3817, 616, 1863, 543, 585, 707, 2123, 946, 269, 3962, 7801, 2985, 814, 561, 25788, 538, 513, 642, 848, 610, 922, 2067, 10450, 269, 12989, 616, 6402, 827, 11910, 320, 700, 25788, 563, 9596, 1215, 547, 22320, 543, 5516, 585, 11910, 320, 15039, 26540, 8566, 731, 2287, 454, 1692, 547, 5516, 585, 11910, 320, 700, 25788, 5937, 564, 9229, 8493, 10273, 781, 6651, 281, 0, 18800, 7433, 910, 3194, 543, 18614, 538, 17240, 3000, 1108, 630, 1708, 273, 264, 11730, 476, 274, 267, 17136, 476, 277, 454, 21691, 2096, 17853, 29956, 589, 559, 906, 281, 12751, 24395, 566, 540, 17240, 14004, 15302, 563, 23430, 540, 18378, 6925, 6261, 8824, 338, 267, 5101, 10491, 2160, 267, 7330, 454, 268, 4856, 22046, 532, 8191, 912, 268, 26391, 28822, 583, 345, 454, 23430, 540, 18378, 6925, 6261, 8824, 338, 454, 292, 770, 10491, 2160, 267, 7330, 454, 292, 17733, 281, 1496, 16942, 6870, 2639, 3725, 18727, 281, 476, 2420, 9539, 990, 268, 1708, 273, 267, 2494, 11245, 3143, 269, 589, 2752, 14641, 268, 2420, 268, 279, 2537, 11152, 282, 15503, 8655, 281, 476, 2190, 9539, 990, 268, 1708, 273, 267, 2776, 304, 290, 3143, 269, 589, 2752, 14641, 268, 2420, 268, 279, 2537, 11152, 27456, 304, 5148, 5623, 539, 281, 476, 5400, 5937, 1815, 268, 1708, 273, 267, 1627, 290, 3143, 269, 589, 2752, 14641, 268, 2420, 268, 279, 2537, 11152, 282, 4860, 2213, 281, 476, 1321, 5937, 1815, 268, 1708, 273, 267, 2494, 11245, 3143, 269, 589, 2752, 14641, 268, 2420, 268, 279, 2537, 11152, 27562, 5148, 15618, 281, 476, 866, 5937, 1815, 268, 1708, 273, 267, 20396, 281, 1015, 269, 3374, 279, 6078, 21669, 1551, 335, 268, 274, 269, 277, 269, 15782, 454, 290, 2787, 281, 28822, 583, 345, 808, 269, 2717, 2096, 17853, 11763, 22074, 281, 12751, 24395, 566, 540, 17422, 3676, 269, 1763, 3115, 17240, 14137, 565, 269, 476, 1708, 273, 282, 274, 263, 277, 2567, 15782, 454, 288, 3099, 540, 14671, 17853, 3968, 2175, 1634, 607, 27731, 3676, 267, 1519, 31470, 26628, 543, 1974, 2632, 4345, 267, 1860, 519, 8031, 602, 1489, 519, 4522, 543, 723, 1044, 2404, 547, 12615, 908, 513, 1297, 540, 17422, 2175, 269, 589, 2101, 6712, 540, 4057, 2298, 540, 1272, 543, 9019, 568, 3361, 676, 5761, 4713, 899, 16415, 267, 5312, 30126, 17422, 2068, 267, 10447, 267, 19505, 267, 524, 10604, 268, 866, 267, 543, 11487, 14024, 624, 12118, 269, 898, 781, 2629, 547, 3136, 547, 1445, 593, 519, 3095, 1063, 27731, 2068, 543, 5761, 4093, 269, 634, 5023, 267, 9641, 267, 543, 824, 2127, 540, 519, 1560, 616, 1753, 547, 513, 3099, 540, 4551, 269, 1677, 1689, 519, 8321, 566, 540, 5711, 1974, 2632, 24403, 4551, 883, 519, 9641, 543, 7369, 12982, 6547, 267, 2242, 538, 519, 3339, 2890, 18508, 4547, 593, 676, 5711, 2068, 267, 30333, 267, 6197, 5079, 267, 610, 5959, 6304, 949, 581, 3743, 269, 769, 519, 1482, 1259, 267, 27731, 4713, 616, 5532, 547, 519, 11931, 2530, 538, 5761, 4320, 6027, 676, 838, 328, 668, 4479, 269, 4340, 547, 1896, 2090, 267, 27731, 3797, 949, 2087, 5761, 1599, 676, 4227, 519, 4908, 540, 12615, 725, 267, 4227, 519, 1981, 540, 8801, 7929, 2621, 267, 543, 4227, 24896, 563, 21691, 2096, 17853, 11763, 22074, 267, 17240, 14004, 3676, 267, 8330, 8676, 563, 294, 636, 2068, 267, 849, 1634, 607, 27731, 2068, 267, 568, 27537, 607, 513, 4015, 540, 14671, 17853, 11763, 3676, 630, 7945, 31470, 26628, 543, 1974, 2632, 4345, 264, 602, 1764, 519, 8031, 602, 1489, 519, 4522, 1547, 717, 532, 26628, 267, 799, 568, 4749, 4547, 593, 676, 4551, 543, 2799, 10733, 6553, 267, 666, 3356, 883, 1974, 2632, 4345, 267, 799, 2164, 538, 513, 1628, 5346, 540, 15799, 593, 519, 4522, 602, 4955, 6233, 2509, 519, 10733, 1899, 543, 3123, 5694, 2530, 543, 5642, 2530, 269, 4107, 4079, 723, 31470, 26628, 610, 811, 4049, 1974, 2632, 4345, 267, 1312, 540, 799, 616, 6140, 28824, 609, 5140, 5711, 9882, 1316, 2478, 899, 17678, 267, 29781, 267, 543, 2834, 11564, 547, 513, 5959, 1416, 3318, 1547, 634, 1034, 7928, 2601, 585, 5694, 2530, 568, 27731, 2068, 267, 799, 666, 849, 22652, 11528, 10108, 1519, 17422, 2068, 269, 3683, 519, 2250, 1906, 1296, 267, 2090, 2519, 593, 519, 4276, 1063, 5761, 21454, 543, 4713, 540, 519, 5711, 1072, 267, 971, 607, 16415, 267, 5312, 30126, 17422, 2068, 267, 10447, 267, 19505, 267, 524, 10604, 268, 866, 267, 543, 11487, 14024, 624, 12118, 267, 814, 1044, 811, 4122, 13006, 269, 12830, 569, 267, 838, 328, 668, 4479, 5761, 4320, 2530, 936, 942, 568, 849, 5532, 547, 27731, 2068, 1547, 13722, 7929, 5563, 3361, 827, 476, 273, 269, 278, 2929, 28896, 1063, 476, 1220, 276, 543, 476, 1001, 276, 543, 17422, 4713, 616, 513, 1713, 2014, 540, 9019, 543, 1942, 11411, 5001, 269, 4475, 267, 5563, 4611, 689, 27731, 2068, 949, 581, 513, 3815, 538, 5761, 1599, 5786, 543, 1256, 2669, 563, 9336, 1858, 540, 938, 4703, 568, 20948, 676, 17973, 267, 799, 666, 581, 1623, 25027, 267, 862, 839, 531, 267, 610, 5739, 269, 589, 1689, 538, 519, 22435, 781, 2067, 18508, 1223, 1860, 875, 3676, 1376, 543, 3356, 538, 938, 4703, 685, 2146, 540, 15451, 7264, 269, 634, 2034, 28376, 543, 1034, 9867, 15451, 2551, 538, 519, 1560, 568, 1336, 538, 519, 5711, 13570, 1547, 634, 4522, 267, 11469, 267, 1750, 4060, 267, 31470, 2526, 521, 592, 322, 639, 267, 9748, 2812, 267, 2182, 31370, 267, 543, 2571, 31370, 616, 1175, 513, 1906, 540, 519, 7252, 538, 519, 5711, 13570, 1141, 14471, 666, 3935, 1047, 563, 763, 5711, 22435, 666, 581, 6766, 676, 4719, 543, 2825, 2188, 267, 799, 2047, 1860, 27731, 2068, 269, 25003, 3648, 8309, 547, 519, 12614, 543, 11144, 540, 2860, 267, 9025, 2068, 267, 5312, 30126, 17422, 2068, 267, 543, 27731, 2068, 269, 595, 7837, 12076, 8673, 32480, 568, 835, 540, 519, 1283, 1981, 2188, 585, 519, 2518, 2068, 11411, 269, 24951, 7606, 609, 1826, 476, 273, 3987, 22577, 547, 1875, 26817, 28017, 267, 519, 11841, 540, 1974, 2632, 4345, 568, 1472, 1614, 2053, 2362, 1547, 3958, 267, 1826, 476, 272, 3987, 22577, 4679, 519, 1981, 540, 3384, 1974, 2632, 4345, 269, 4340, 547, 606, 2038, 1353, 5342, 538, 519, 476, 2735, 271, 338, 267, 476, 1015, 260, 540, 1453, 630, 8974, 476, 1240, 1296, 2025, 264, 609, 1826, 476, 272, 3987, 22577, 1185, 2799, 5642, 543, 13613, 2530, 855, 2147, 15799, 8464, 563, 2171, 786, 3533, 2446, 513, 1906, 811, 635, 2364, 908, 4632, 1644, 609, 1974, 2632, 4345, 2630, 267, 971, 607, 2085, 267, 2566, 267, 6646, 267, 5694, 8860, 267, 9025, 2068, 267, 27131, 12263, 267, 4057, 6484, 7933, 2884, 267, 543, 1866, 269, 4340, 547, 1978, 1239, 267, 27731, 632, 1962, 728, 618, 1210, 1688, 610, 24318, 21319, 7405, 3085, 1405, 3100, 547, 723, 1022, 2942, 2360, 593, 2043, 945, 2907, 723, 30189, 610, 519, 2298, 540, 741, 2729, 4586, 2467, 568, 9940, 2964, 2065, 2963, 1063, 17422, 10108, 609, 27731, 2068, 269, 8899, 17263, 11528, 6553, 5532, 547, 27731, 2068, 949, 10556, 5761, 1599, 269, 20390, 12412, 568, 2219, 547, 581, 519, 4358, 1448, 585, 519, 2942, 2360, 540, 5711, 6553, 593, 17422, 1599, 1547, 1323, 5817, 7271, 585, 5761, 543, 5711, 12982, 3157, 949, 581, 519, 8321, 566, 540, 14471, 689, 519, 5711, 13570, 269, 11270, 7267, 22836, 267, 799, 616, 9475, 610, 23761, 602, 3295, 519, 4522, 2630, 519, 10733, 1899, 543, 616, 1459, 538, 4576, 267, 666, 5000, 519, 1628, 5346, 540, 5959, 15799, 267, 799, 666, 2014, 23633, 4551, 547, 9062, 543, 1332, 269, 17327, 4551, 602, 4283, 519, 2539, 28296, 949, 2014, 16415, 610, 22652, 2175, 899, 10447, 267, 30189, 267, 610, 11487, 14024, 624, 12118, 269, 634, 7766, 936, 335, 3174, 540, 29299, 543, 2447, 758, 710, 779, 949, 22009, 17422, 6547, 267, 1519, 22024, 2504, 269, 769, 1453, 609, 5817, 10447, 267, 6296, 5959, 1416, 568, 2404, 609, 22485, 5761, 1599, 1547, 2051, 2684, 3415, 267, 513, 5057, 540, 1896, 21973, 642, 7568, 8460, 568, 1634, 547, 9594, 13027, 6547, 538, 11630, 2043, 267, 1818, 621, 3622, 15333, 785, 5344, 538, 1762, 2550, 609, 4049, 10447, 563, 2419, 5190, 538, 519, 5023, 13570, 781, 18508, 616, 4749, 2938, 538, 27731, 3676, 543, 949, 723, 513, 1909, 538, 519, 1646, 540, 17422, 8374, 538, 513, 1297, 540, 10108, 269, 17327, 954, 14846, 2553, 3622, 3100, 547, 1267, 538, 1732, 17422, 4093, 267, 4352, 519, 8594, 540, 8321, 566, 267, 3226, 538, 519, 11361, 2551, 267, 949, 723, 606, 1764, 593, 12615, 725, 538, 2550, 609, 17422, 32435, 885, 269, 4014, 649, 1810, 1405, 979, 883, 1390, 1469, 1934, 267, 519, 4093, 540, 519, 5761, 2068, 2126, 949, 849, 723, 606, 1764, 593, 519, 5711, 13570, 269, 15788, 267, 2417, 1382, 568, 2877, 547, 1174, 875, 27731, 4713, 1860, 17422, 4093, 563, 268, 29110, 3455, 268, 5719, 14982, 681, 267, 22994, 2917, 16671, 269, 19024, 540, 519, 1977, 10791, 2045, 5948, 281, 17327, 1072, 543, 6484, 269, 808, 6298, 25326, 337, 10791, 269, 476, 1220, 274, 282, 9818, 263, 276, 2567, 277, 1428, 563, 268, 13391, 13704, 667, 299, 267, 4446, 992, 20219, 267, 595, 23439, 28325, 545, 645, 267, 1696, 620, 269, 11270, 7267, 5868, 538, 4357, 5959, 2259, 281, 513, 2013, 13001, 22372, 5619, 269, 3243, 19239, 808, 269, 476, 1001, 277, 282, 8618, 263, 273, 2567, 28192, 268, 7906, 563, 268, 661, 651, 28697, 267, 645, 3073, 333, 752, 651, 654, 306, 267, 2637, 1723, 681, 297, 269, 10765, 16917, 328, 11043, 3466, 538, 1974, 2632, 4345, 538, 519, 7330, 269, 11270, 26585, 269, 476, 1708, 271, 282, 11025, 263, 272, 2567, 27038, 268, 6858, 563, 268, 645, 7795, 4802, 918, 267, 29775, 2378, 26856, 589, 267, 670, 18033, 330, 753, 5459, 808, 267, 1696, 620, 269, 17327, 1072, 543, 9025, 2068, 538, 13785, 281, 2164, 540, 513, 3084, 18102, 5619, 269, 4750, 540, 4791, 1974, 26585, 269, 476, 1220, 273, 282, 3066, 263, 274, 2567, 22724, 268, 280, 563, 268, 26186, 514, 14298, 267, 31661, 518, 700, 298, 267, 26186, 514, 6751, 267, 1696, 620, 269, 17327, 1072, 2115, 1851, 4079, 538, 519, 2136, 2276, 609, 5312, 3676, 269, 808, 2549, 19239, 2667, 665, 269, 476, 1220, 280, 282, 9610, 263, 1015, 2567, 14695, 277, 268, 10619, 563, 268, 15917, 525, 595, 267, 590, 1706, 992, 667, 267, 28137, 631, 267, 1696, 620, 269, 634, 7681, 1063, 31276, 6897, 5642, 2530, 543, 17422, 1599, 281, 519, 22622, 15482, 7043, 15994, 5530, 269, 7788, 11270, 2632, 565, 269, 476, 1960, 279, 282, 274, 263, 272, 2567, 27038, 268, 8618, 563, 268, 25661, 807, 681, 296, 267, 715, 18365, 19294, 267, 966, 758, 517, 553, 13662, 269, 25731, 328, 11043, 12205, 1063, 27731, 2068, 543, 5312, 30126, 17422, 2068, 269, 7788, 11270, 2632, 565, 269, 476, 1220, 272, 282, 277, 263, 272, 2567, 10170, 268, 278, 563, 268, 670, 7564, 332, 7564, 331, 7564, 514, 523, 623, 267, 2672, 7631, 523, 670, 267, 918, 525, 7219, 523, 631, 267, 1696, 620, 269, 17327, 1072, 543, 5786, 538, 7929, 4390, 538, 513, 20165, 540, 2146, 13001, 323, 16946, 11361, 1004, 281, 513, 2551, 13001, 22372, 476, 276, 13001, 20204, 1246, 13001, 1575, 1353, 269, 15168, 16599, 1108, 269, 476, 1220, 275, 282, 2641, 263, 275, 2567, 20385, 268, 1428, 269, 0, 293, 718, 568, 1934, 256, 19343, 7718, 267, 4418, 831, 4005, 267, 543, 838, 5367 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 593, 476, 1001, 275, 268, 5881, 268, 2420, 269, 8158, 476, 1001, 277, 268, 6349, 268, 5400, 563, 268, 11829, 2967, 267, 715, 5919, 590, 718, 525, 267, 808, 269, 631, 5919, 5590, 974, 548, 267, 808, 5919, 28446, 1170, 328, 27056, 267, 645, 269, 661, 269, 630, 1220, 280, 1040, 834, 30356, 29925, 540, 519, 13438, 540, 1158, 6683, 21947, 609, 3542, 13541, 7771, 257, 630, 14457, 1040, 26954, 13188, 269, 476, 6924, 630, 274, 2567, 476, 279, 1015, 1700, 279, 2641, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 4318, 1723, 548, 935, 269, 1220, 279, 269, 6187, 269, 26522, 563, 268, 623, 5930, 1157, 267, 17555, 630, 1626, 5239, 476, 1220, 279, 1040, 834, 13070, 3472, 675, 19448, 26327, 676, 3542, 13541, 23229, 2668, 7186, 269, 8158, 476, 280, 5181, 476, 1708, 271, 563, 268, 32762, 267, 589, 997, 807, 631, 5919, 3733, 619, 267, 15656, 590, 5919, 25599, 11089, 267, 13177, 670, 269, 630, 1001, 276, 268, 4905, 268, 6021, 1040, 834, 2710, 2717, 4802, 2209, 19928, 1393, 547, 715, 26798, 2657, 286, 2668, 12813, 5308, 21450, 269, 476, 1015, 630, 272, 2567, 552, 14625, 3199, 276, 269, 645, 756, 13892, 281, 1001, 276, 12195, 334, 12569, 907, 1015, 330, 21878, 276, 292, 269, 8222, 281, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 18733, 21878, 276, 269, 31192, 476, 4350, 273, 268, 30663, 274, 269, 6751, 290, 476, 275, 2764, 3445, 277, 275, 269, 20163, 476, 14838, 16020, 2767, 563, 268, 24755, 680, 514, 11860, 571, 1067, 267, 31929, 282, 12358, 20198, 267, 14667, 282, 15168, 828, 267, 6276, 282, 12928, 3578, 267, 918, 15811, 589, 5919, 16334, 11839, 267, 26637, 1408, 667, 5919, 16334, 11839, 267, 23729, 534, 282, 2098, 643, 267, 24053, 282, 21890, 514, 267, 5981, 18588, 5336, 7559, 630, 1001, 275, 1040, 834, 17471, 22926, 6772, 2355, 609, 3542, 13541, 17466, 25050, 22021, 2504, 2668, 18619, 281, 18143, 7070, 269, 476, 27005, 630, 9692, 275, 2567, 476, 1001, 275, 1704, 4200, 269, 8222, 281, 1015, 269, 11820, 279, 270, 3464, 335, 321, 269, 1001, 275, 269, 9692, 280, 269, 808, 4306, 3036, 476, 275, 3607, 30203, 3393, 269, 6751, 290, 476, 275, 2641, 13970, 279, 269, 20163, 476, 21857, 25834, 2412, 563, 268, 661, 32078, 267, 4432, 529, 9278, 808, 5919, 918, 516, 5443, 267, 1849, 18311, 282, 5682, 29566, 267, 8861, 8055, 282, 12275, 828, 267, 1656, 16699, 918, 5919, 21890, 514, 267, 5981, 18588, 5336, 7559, 630, 1001, 272, 268, 6187, 268, 2420, 1040, 834, 6944, 9084, 540, 2717, 4802, 1807, 5336, 23672, 15867, 1186, 547, 715, 19153, 538, 519, 5274, 5253, 18242, 2668, 12813, 5308, 21450, 269, 476, 277, 630, 277, 2567, 552, 22659, 8287, 269, 645, 756, 13892, 281, 1001, 272, 12195, 334, 12569, 1862, 277, 2641, 3607, 274, 292, 269, 8222, 281, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 16573, 15793, 274, 269, 31192, 476, 4350, 273, 268, 30663, 274, 269, 6751, 290, 476, 24374, 5400, 279, 275, 269, 20163, 476, 24241, 28766, 1704, 563, 268, 8055, 267, 15623, 681, 5919, 19453, 267, 717, 11939, 329, 8932, 631, 5919, 20787, 3530, 4115, 267, 667, 926, 2313, 282, 3733, 619, 267, 15656, 590, 269, 630, 1001, 276, 268, 1556, 268, 1691, 1040, 834, 22546, 338, 540, 11081, 540, 3662, 25199, 593, 1480, 6484, 543, 2518, 1072, 281, 513, 20592, 2079, 2668, 634, 31102, 269, 476, 4343, 277, 630, 1911, 5881, 2567, 476, 3422, 275, 1700, 3192, 273, 269, 8222, 281, 1015, 269, 6200, 277, 13478, 26522, 271, 268, 6858, 274, 277, 263, 1428, 264, 29637, 5952, 268, 277, 269, 31192, 476, 26522, 271, 268, 6858, 274, 277, 269, 20163, 476, 28360, 6434, 278, 4366, 269, 590, 273, 290, 2839, 476, 14695, 22446, 1704, 563, 268, 966, 663, 1197, 267, 4460, 269, 834, 30943, 2717, 4802, 2209, 538, 16581, 23270, 338, 2668, 2475, 14899, 269, 8158, 476, 2190, 5988, 476, 1001, 280, 563, 268, 8433, 540, 519, 4964, 14199, 630, 18907, 476, 736, 267, 476, 1001, 275, 1040, 834, 763, 9483, 7420, 623, 2216, 676, 13207, 1456, 2717, 4802, 1807, 7377, 2827, 257, 630, 293, 9711, 18694, 1040, 634, 6519, 5600, 269, 8158, 476, 4029, 4864, 476, 1001, 276, 563, 268, 1635, 337, 928, 267, 589, 5919, 23575, 6312, 4459, 267, 772, 269, 630, 1220, 280, 1040, 834, 289, 2465, 5726, 3609, 693, 519, 2518, 267, 6237, 543, 3084, 2157, 257, 630, 14457, 1040, 589, 3671, 860, 773, 269, 476, 2412, 630, 274, 2567, 476, 3707, 1700, 13975, 269, 8222, 281, 1015, 269, 10755, 272, 270, 777, 18480, 270, 1220, 3445, 272, 278, 269, 590, 273, 290, 2839, 476, 4375, 279, 5038, 277, 6860, 563, 268, 22694, 2137, 267, 2817, 10985, 540, 3557, 269, 834, 303, 3326, 13541, 2657, 2668, 8940, 8542, 14369, 331, 3820, 269, 8158, 476, 1001, 278, 268, 1556, 268, 3066, 563, 268, 15724, 1588, 267, 519, 1280, 326, 13516, 16581, 18452, 267, 29346, 5842, 5112, 267, 18619, 540, 519, 8419, 16581, 10985, 543, 11780, 8058, 267, 700, 752, 14657, 267, 18919, 267, 5181, 476, 3066, 1700, 1789, 267, 476, 1960, 279, 267, 808, 269, 674, 31867, 517, 267, 1696, 620, 269, 32308, 1421, 6032, 269, 476, 3393, 1700, 5325, 563, 268, 634, 4139, 19541, 585, 519, 11094, 543, 12655, 946, 540, 2717, 4802, 2209, 281, 589, 11556, 585, 513, 1544, 540, 2962, 13482, 593, 6211, 4763, 267, 27292, 267, 476, 1321, 1700, 1626, 5437, 476, 1220, 272, 2676, 268, 2717, 4802, 1807, 9265, 513, 1071, 268, 867, 3990, 2518, 1935, 267, 661, 731, 2917, 267, 595, 269, 476, 1220, 272, 269, 2920, 320, 29088, 269, 630, 3041, 9391, 264, 476, 6321, 272, 281, 28664, 268, 28590, 263, 11902, 302, 264, 24163, 4139, 32600, 593, 15724, 1588, 282, 15724, 1588, 281, 6715, 15249, 540, 15867, 1186, 543, 7111, 7233, 7010, 454, 268, 634, 9483, 28620, 540, 2717, 4802, 1807, 13207, 1149, 281, 1323, 13979, 547, 30487, 519, 31664, 267, 8834, 717, 269, 3223, 7079, 543, 32457, 623, 269, 29928, 267, 11094, 17905, 642, 269, 276, 267, 1775, 269, 272, 4873, 476, 1220, 272, 454, 268, 19384, 2717, 4802, 2209, 19541, 267, 966, 5028, 12359, 807, 14087, 520, 10961, 674, 2945, 8619, 282, 4858, 592, 1470, 12113, 516, 4275, 27804, 5633, 4144, 553, 267, 15600, 4728, 476, 1220, 275, 0, 19723, 559, 690, 568, 513, 10805, 22028, 540, 27974, 775, 5071, 7010, 267, 5549, 269, 7300, 281, 20959, 21508, 351, 267, 12813, 296, 267, 5752, 1893, 8818, 267, 3590, 19723, 559, 690, 269, 634, 14191, 596, 666, 1205, 585, 1863, 568, 519, 20959, 3590, 19723, 559, 690, 700, 305, 300, 267, 799, 596, 666, 4647, 585, 1863, 1934, 269, 7638, 559, 690, 267, 13387, 607, 20959, 2073, 568, 513, 8800, 6609, 1893, 630, 8461, 299, 264, 1031, 547, 2203, 5907, 1949, 269, 898, 568, 1034, 4122, 1031, 538, 519, 1374, 543, 563, 347, 13775, 630, 8310, 2567, 1475, 1704, 4989, 476, 1001, 275, 2008, 347, 14457, 11711, 12025, 10573, 1556, 269, 4510, 25253, 2008, 347, 324, 8530, 11711, 12025, 10573, 278, 269, 7761, 25253, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 21366, 3367, 22478, 7348, 1686, 563, 2005, 568, 676, 1100, 1797, 513, 3102, 1592, 269, 2902, 958, 267, 513, 9074, 666, 2270, 1022, 4999, 540, 519, 1739, 281, 634, 3977, 786, 2611, 7123, 7488, 540, 519, 3403, 5365, 1247, 519, 10766, 568, 1305, 547, 968, 3835, 6100, 634, 12813, 296, 2488, 513, 27732, 609, 513, 7271, 547, 4483, 1852, 689, 7638, 559, 690, 547, 513, 1982, 1599, 2854, 538, 595, 1893, 269, 1548, 786, 581, 9102, 856, 585, 519, 2418, 540, 513, 543, 536, 888, 288, 6422, 5044, 1568, 1454, 899, 606, 10002, 17977, 5044, 267, 855, 3091, 519, 5413, 540, 1373, 29858, 21248, 693, 678, 29025, 607, 3254, 1657, 269, 1411, 666, 4734, 513, 3210, 528, 3950, 3724, 689, 707, 1378, 3135, 563, 21902, 19723, 559, 690, 1107, 9504, 454, 14294, 909, 610, 2845, 538, 6178, 909, 26759, 324, 5616, 269, 9182, 267, 1454, 929, 332, 519, 1893, 666, 711, 581, 1031, 547, 4766, 8800, 269, 634, 22816, 335, 4215, 2376, 827, 7638, 559, 690, 6920, 602, 3590, 19723, 559, 690, 4564, 513, 25436, 564, 540, 519, 8847, 538, 7638, 559, 690, 1323, 6789, 2975, 568, 606, 4890, 8800, 6388, 563, 14294, 1023, 602, 616, 9141, 689, 1369, 513, 1184, 606, 3355, 610, 2141, 3625, 1590, 581, 540, 1826, 1036, 269, 20959, 31901, 5767, 2357, 559, 690, 3044, 4704, 476, 275, 563, 2304, 1997, 894, 5044, 666, 581, 2219, 540, 607, 513, 9352, 3406, 3529, 609, 513, 3593, 6741, 322, 1881, 1883, 1826, 543, 1239, 1826, 563, 14149, 303, 24923, 711, 2324, 476, 273, 269, 2776, 16227, 267, 3009, 4589, 1185, 547, 1685, 9896, 4238, 1210, 26101, 3787, 7400, 6354, 2827, 585, 1383, 267, 519, 4163, 13050, 3787, 540, 513, 2241, 476, 279, 19229, 1840, 2838, 606, 8763, 6609, 524, 518, 559, 690, 519, 29491, 7223, 547, 3313, 922, 2953, 1871, 563, 31282, 593, 1379, 2468, 659, 1107, 6069, 5547, 2079, 476, 271, 269, 853, 4428, 899, 2010, 23293, 540, 519, 645, 22143, 16105, 3652, 538, 1323, 10811, 589, 267, 513, 9395, 2287, 5346, 540, 519, 7453, 4214, 540, 3959, 7477, 8462, 267, 543, 9283, 610, 28303, 540, 513, 1906, 3009, 1806, 269, 1323, 25195, 1568, 676, 16111, 12394, 547, 6218, 513, 5311, 610, 3959, 269, 1403, 711, 267, 1018, 568, 519, 14191, 1863, 4199, 602, 594, 666, 1205, 888, 19723, 559, 690, 1107, 9504, 454, 12179, 821, 666, 1224, 519, 700, 305, 300, 267, 543, 4896, 666, 1246, 519, 3356, 540, 12233, 4901, 676, 8384, 519, 31615, 529, 17079, 3950, 518, 4179, 281, 1772, 972, 513, 1863, 4528, 2139, 286, 6789, 2975, 10282, 2645, 1810, 1406, 1489, 971, 513, 3948, 269, 5516, 568, 2838, 547, 2327, 602, 561, 325, 332, 616, 25541, 1152, 950, 6209, 269, 634, 1699, 4528, 568, 20959, 3044, 6333, 519, 3009, 6256, 2630, 15545, 634, 1985, 14583, 1654, 326, 559, 690, 1519, 1312, 606, 607, 2106, 28942, 19268, 543, 607, 2106, 28942, 1305, 2783, 282, 1586, 519, 15007, 2501, 883, 1404, 267, 1775, 563, 21902, 19723, 559, 690, 814, 13128, 20203, 10070, 334, 972, 568, 1100, 1893, 9744, 547, 12799, 6861, 8320, 2813, 676, 519, 1007, 11346, 269, 7638, 559, 690, 779, 2048, 2680, 2048, 18642, 4847, 1114, 7161, 540, 27564, 6898, 547, 9594, 1142, 824, 267, 855, 30191, 8142, 1183, 2465, 729, 909, 547, 519, 27732, 779, 15931, 6165, 269, 634, 1138, 15975, 1102, 619, 519, 8417, 1592, 547, 581, 782, 4632, 689, 519, 8659, 6898, 281, 563, 21902, 19723, 559, 690, 7682, 687, 616, 3710, 689, 9696, 543, 3601, 269, 634, 1883, 561, 337, 333, 606, 19280, 6902, 519, 2609, 540, 606, 1997, 894, 5044, 666, 581, 1224, 856, 538, 682, 13877, 4919, 1931, 269, 19200, 1110, 15975, 538, 3690, 2466, 614, 1018, 568, 519, 589, 286, 0, 763, 1982, 585, 519, 29668, 518, 568, 3833, 2241, 543, 5161, 540, 519, 1739, 3268, 912, 268, 5590, 519, 19271, 585, 519, 1101, 4484, 563, 268, 5548, 599, 513, 2370, 454, 268, 5590, 782, 20382, 547, 2312, 519, 5496, 630, 28436, 994, 268, 5548, 599, 513, 3787, 454, 268, 5590, 519, 20382, 1970, 585, 519, 2034, 4484, 563, 268, 681, 20600, 543, 10956, 454, 296, 723, 7923, 519, 3009, 594, 1031, 269, 1411, 666, 29289, 621, 609, 606, 2473, 290, 279, 29085, 593, 631, 12195, 5723, 2473, 269, 1809, 2094, 594, 1031, 13698, 271, 585, 10126, 589, 267, 596, 723, 547, 771, 762, 772, 11520, 296, 3842, 519, 25146, 3787, 585, 621, 547, 960, 630, 30161, 10698, 2630, 1916, 24400, 519, 1318, 16788, 454, 3086, 596, 723, 547, 3442, 799, 16788, 593, 519, 29668, 518, 547, 946, 269, 28611, 267, 972, 786, 581, 606, 476, 279, 19229, 2823, 543, 513, 476, 275, 19229, 2823, 585, 519, 476, 272, 454, 8256, 573, 3130, 476, 272, 281, 9061, 570, 13715, 454, 4913, 267, 519, 3903, 949, 4268, 1813, 547, 707, 29668, 518, 781, 3977, 6453, 543, 5911, 1899, 1063, 707, 14330, 308, 543, 519, 6895, 269, 1677, 1118, 519, 2816, 519, 15864, 267, 596, 1616, 519, 2547, 2179, 540, 3444, 9240, 7174, 563, 2690, 1383, 267, 593, 11083, 2316, 29369, 29300, 267, 519, 476, 279, 19229, 2823, 568, 623, 3036, 14011, 269, 1403, 596, 8655, 13698, 271, 547, 10126, 589, 267, 13698, 272, 547, 10126, 645, 543, 865, 593, 267, 519, 2179, 540, 3444, 13652, 1188 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 14069, 32276, 269, 1163, 337, 269, 769, 713, 2376, 267, 649, 616, 2469, 547, 1865, 14069, 20548, 26021, 12793, 1210, 4052, 1806, 609, 16105, 907, 1677, 14574, 513, 3021, 1807, 12799, 267, 1280, 3733, 3041, 4456, 7515, 267, 1871, 666, 581, 1305, 2362, 267, 4352, 519, 2500, 5021, 634, 3406, 4082, 630, 1492, 18040, 16730, 743, 1021, 264, 568, 4294, 269, 27510, 10311, 547, 519, 1482, 4831, 3349, 269, 25873, 824, 2055, 28562, 544, 903, 27942, 14919, 1922, 17313, 610, 2307, 707, 1378, 2243, 269, 1234, 6473, 269, 3733, 21415, 3252, 666, 581, 2813, 676, 1210, 519, 595, 3918, 12442, 674, 7419, 290, 3582, 3948, 269, 901, 1797, 602, 519, 1267, 540, 1210, 713, 1599, 593, 6333, 519, 1739, 14511, 799, 9192, 590, 9331, 3890, 543, 2910, 7419, 307, 3890, 14919, 3252, 609, 17692, 3890, 1599, 269, 476, 274, 269, 278, 20548, 2958, 520, 325, 6064, 5406, 523, 269, 18570, 676, 538, 519, 10758, 29308, 15760, 16083, 269, 8120, 1843, 12462, 18431, 26134, 1883, 17993, 26158, 16798, 269, 6201, 540, 20548, 26021, 3252, 616, 32745, 630, 1070, 10790, 311, 630, 1070, 590, 9331, 630, 1070, 2910, 7419, 307, 630, 1070, 20724, 294, 630, 1070, 3092, 269, 645, 3951, 318, 311, 3036, 3890, 14919, 3252, 2353, 14919, 3252, 616, 15002, 2065, 269, 1358, 2291, 547, 23074, 513, 1871, 799, 568, 1644, 547, 1295, 610, 3193, 1871, 269, 1703, 568, 1100, 2773, 31969, 3890, 610, 568, 606, 5667, 11220, 8870, 281, 634, 2132, 1871, 568, 513, 1875, 321, 2435, 610, 9352, 5569, 267, 4470, 1403, 972, 616, 1100, 12805, 9343, 267, 6613, 20143, 12793, 543, 7358, 2209, 269, 645, 5456, 19860, 543, 959, 15635, 566, 1522, 634, 14919, 1599, 14069, 10790, 311, 20465, 568, 1031, 547, 1265, 519, 5021, 1871, 610, 5207, 1871, 540, 513, 1978, 6241, 610, 4082, 269, 27366, 676, 513, 10323, 22268, 20724, 294, 3890, 3252, 2132, 513, 9561, 3388, 1310, 519, 1101, 1875, 333, 10179, 545, 1915, 4700, 898, 7024, 519, 4102, 1871, 689, 519, 9138, 3349, 2361, 269, 13405, 547, 3733, 21415, 476, 276, 269, 278, 269, 1240, 267, 769, 7224, 24174, 3157, 1101, 540, 891, 1373, 1031, 607, 513, 1883, 543, 519, 2034, 607, 513, 31969, 3890, 568, 513, 28395, 585, 519, 4238, 538, 519, 1482, 1259, 269, 634, 1739, 3948, 3096, 519, 10790, 311, 3890, 1599, 547, 2132, 519, 5207, 1592, 3902, 540, 782, 2560, 1358, 616, 4122, 1031, 609, 519, 717, 4629, 16810, 15760, 16083, 538, 513, 10323, 22268, 3948, 267, 1141, 26057, 18482, 17337, 519, 9343, 540, 513, 844, 518, 1221, 3349, 610, 2070, 883, 2516, 269, 476, 1321, 270, 6349, 270, 1708, 271, 282, 476, 273, 3764, 547, 1224, 282, 512, 282, 769, 713, 2376, 269, 3733, 21415, 7028, 782, 519, 2947, 630, 276, 264, 18869, 3044, 14919, 3252, 2910, 7419, 307, 267, 590, 9331, 267, 20724, 294, 267, 32745, 543, 10790, 311, 269, 769, 713, 5850, 267, 596, 616, 2469, 547, 1294, 519, 2143, 6609, 593, 875, 547, 1711, 543, 14892, 519, 1862, 1548, 568, 519, 16692, 4041, 15288, 2372, 2044, 286, 7440, 630, 15759, 518, 610, 667, 4488, 8379, 3201, 1070, 1210, 519, 32412, 20438, 269, 3733, 21415, 26425, 269, 715, 26097, 269, 16849, 519, 3732, 13065, 540, 1699, 267, 476, 276, 269, 277, 16849, 519, 3732, 3044, 11539, 540, 18040, 16730, 16083, 269, 4661, 5641, 519, 4661, 547, 513, 1297, 952, 2556, 269, 1871, 630, 718, 11353, 1305, 547, 476, 271, 1040, 590, 9331, 3890, 21410, 519, 2040, 540, 782, 2418, 538, 519, 1305, 269, 4937, 6176, 269, 5637, 18040, 16730, 543, 670, 16787, 5058, 16083, 616, 1031, 547, 2638, 519, 2783, 543, 723, 12086, 593, 519, 25739, 1239, 269, 10705, 267, 14919, 3252, 616, 10483, 676, 519, 717, 4629, 16810, 15760, 16083, 540, 519, 10323, 22268, 3948, 269, 476, 272, 269, 966, 2752, 318, 303, 8008, 19572, 3177, 607, 513, 12164, 290, 2969, 318, 16703, 263, 2567, 1871, 2864, 982, 676, 519, 5569, 781, 3448, 2990, 538, 519, 3733, 21415, 32227, 1239, 1826, 3733, 21415, 2488, 721, 609, 14919, 3252, 899, 2910, 7419, 307, 19572, 590, 9331, 3890, 543, 20724, 294, 3890, 585, 891, 5301, 269, 1284, 1419, 946, 14919, 3252, 609, 519, 717, 4629, 16810, 15760, 543, 670, 16787, 5058, 21291, 540, 519, 10323, 22268, 3948, 907, 1871, 269, 634, 769, 7224, 24174, 19554, 5422, 269, 1403, 972, 616, 1100, 12805, 9343, 267, 2910, 7419, 307, 28949, 264, 568, 10169, 20724, 294, 3890, 9577, 269, 1163, 337, 269, 634, 1739, 13214, 2337, 721, 3035, 602, 269, 1875, 9539, 26097, 2418, 269, 1280, 513, 5488, 1293, 267, 1711, 513, 4831, 3349, 543, 966, 2752, 296, 23814, 3890, 568, 513, 28395, 585, 1325, 548, 20548, 2958, 520, 325, 6064, 5406, 523, 267, 14193, 29967, 518, 2910, 7419, 307, 28949, 1070, 5337, 9461, 7967, 715, 26097, 8862, 518, 974, 269, 769, 930, 2665, 267, 519, 1344, 649, 991, 568, 711, 2965, 6740, 538, 519, 6538, 855, 649, 666, 23074, 621, 676, 7384, 538, 930, 2081, 689, 519, 6740, 1239, 269, 1403, 972, 616, 1100, 12805, 9343, 267, 10790, 311, 3890, 543, 32745, 3890, 2132, 519, 5021, 543, 5934, 1871, 267, 6606, 269, 1548, 616, 20548, 26021, 12793, 538, 3733, 21415, 286, 634, 1599, 6411, 593, 513, 6241, 610, 606, 4082, 1883, 2012, 568, 715, 26097, 610, 519, 1297, 540, 898, 1599, 21410, 519, 3328, 1871, 585, 513, 1305, 540, 2560, 634, 14919, 1599, 14069, 32745, 20465, 568, 1031, 547, 1265, 519, 5934, 1871, 610, 9803, 1871, 540, 513, 6241, 610, 4082, 269, 12793, 971, 607, 590, 9331, 3890, 610, 20724, 294, 3890, 602, 2503, 513, 25948, 4661, 5641, 519, 4661, 547, 513, 1297, 952, 2556, 269, 769, 713, 5850, 267, 649, 786, 3382, 519, 6609, 543, 875, 547, 946, 891, 14919, 3252, 538, 938, 3733, 21415, 14511, 269, 20548, 26021, 12793, 269, 9343, 267, 610, 538, 519, 2680, 540, 606, 5470, 269, 1403, 519, 634, 1739, 616, 519, 1034, 4122, 1031, 14069, 14919, 3252, 281, 634, 1163, 337, 269, 28791, 6382, 7150, 267, 14919, 3252, 11716, 715, 26097, 269, 570, 1389, 1079, 6241, 4408, 610, 7215, 607, 7440, 267, 519, 1280, 1383, 267, 596, 949, 899, 547, 12337, 519, 2040, 540, 519, 1239, 2418, 538, 513, 2016, 2361, 269, 634, 3349, 3254, 2630, 2982, 1239, 538, 1940, 328, 5166, 1023, 3349, 267, 2913, 781, 15475, 602, 649, 1616, 547, 1205, 519, 1297, 540, 2053, 602, 519, 7260, 609, 7329, 476, 273, 814, 1044, 10519, 539, 856, 269, 769, 3733, 21415, 267, 596, 666, 3489, 519, 1297, 540, 3982, 4082, 4888, 10485, 14069, 268, 10844, 11225, 2947, 14919, 3252, 269, 1284, 666, 3362, 946, 519, 10790, 311, 1599, 547, 3035, 602, 269, 3193, 318, 9994, 539, 7272, 871, 564, 269, 1403, 972, 616, 1100, 12805, 9343, 267, 1875, 9539, 26097, 2418, 689, 513, 1895, 269, 20591, 2316, 301, 6311, 20438, 666, 581, 1031, 547, 1265, 519, 1875, 9539, 26097, 1163, 337, 14597, 649, 1616, 547, 1265, 519, 3328, 2179, 6976, 269, 1280, 1344, 827, 513, 1689, 538, 3733, 21415, 476, 279, 269, 271, 602, 14998, 32745, 3890, 7024, 901, 568, 6913, 676, 23454, 2147, 2418, 1927, 1547, 634, 20591, 2316, 301, 6311, 2560, 4635, 3733, 21415, 607, 513, 11657, 15188, 1547, 901, 15320, 689, 875, 10758, 29308, 15760, 634, 1599, 6411, 593, 513, 6241, 610, 606, 4082, 602, 27786, 547, 513, 2582, 1871, 269, 1548, 3657, 14069, 20548, 26021, 12793, 286, 1452, 616, 14069, 14919, 3252, 281, 20724, 294, 3890, 7024, 519, 3328, 540, 519, 9138, 2418, 269, 7053, 267, 649, 616, 2469, 547, 1376, 14069, 14919, 3252, 538, 713, 2376, 269, 634, 715, 26097, 269, 715, 26097, 2418, 269, 1358, 616, 1419, 1031, 609, 513, 717, 4629, 16810, 6423, 849, 12164, 290, 2969, 3890, 543, 634, 1739, 1383, 2516, 2818, 676, 2012, 267, 12523, 519, 2698, 1297, 540, 11033, 267, 519, 3328, 8569, 2179, 543, 519, 6264, 2698, 540, 519, 8569, 5666, 269, 4475, 267, 649, 723, 930, 3448, 3584, 547, 4766, 14919, 3252, 609, 519, 1383, 269, 1403, 972, 616, 1100, 12805, 9343, 267, 8791, 476, 1321, 269, 279, 267, 968, 21803, 12793, 543, 7358, 2209, 6100, 634, 2910, 7419, 307, 1599, 7024, 519, 2698, 1297, 540, 2418, 538, 519, 9138, 2361, 269, 966, 2752, 289, 2562, 14473, 269, 10659, 602, 798, 711, 2270, 715, 26097, 676, 1284, 786, 946, 519, 2472, 3349, 689, 519, 3732, 6538, 585, 519, 17431, 269, 19776, 13673, 9331, 543, 3733, 21415, 4578, 9218, 269, 901, 5850, 6941, 519, 946, 540, 3733, 21415, 14919, 3252, 899, 20724, 294, 267, 2910, 7419, 307, 267, 590, 9331, 267, 10790, 311, 267, 32745, 609, 519, 948, 540, 2241, 1806, 269, 715, 26097, 269, 543, 2132, 645, 5456, 19860, 2418, 269, 5254, 24884, 14110, 318, 303, 8008, 3890, 7024, 1284, 6140, 946, 519, 14919, 3252, 609, 10323, 22268, 6898, 538, 519, 1239, 13214, 4654, 269, 5340, 609, 476, 5038, 19229, 1677, 4990, 1871, 630, 718, 11353, 1305, 547, 476, 272, 1040, 901, 1599, 7024, 513, 5569, 1267, 609, 519, 6677, 22760, 730, 13079, 5024, 519, 1657, 13214, 538, 3733, 21415, 960, 17754, 577, 1996, 1250, 26530, 27219, 3947, 721, 519, 1739, 2164, 269, 16849, 519, 3787, 3772, 10758, 540, 782, 11353, 538, 1403, 596, 1616, 547, 23868, 26134, 2418, 689, 519, 14919, 1599, 2164, 267, 946, 519, 20591, 2316, 301, 6311, 20438, 269, 16522, 1314, 281, 769, 824, 1913, 267, 14919, 3252, 2132, 519, 1482, 1871, 1142, 942, 602, 789, 616, 1572, 267, 950, 1572, 609, 513, 1808, 1305, 540, 3403, 2560, 31453, 585, 2910, 7419, 307, 28949, 1070, 14919, 3252, 11716, 14275, 2418, 269, 634, 18040, 16730, 16083, 568, 1031, 609, 2241, 10323, 22268, 3948, 543, 547, 723, 15410, 540, 1239, 689, 835, 610, 811, 7515, 269, 723, 547, 798, 513, 6677, 22760, 566, 540, 782, 7215, 3330, 2776, 2183, 543, 13751, 3502, 1182, 269, 1284, 666, 1289, 519, 3252, 3330, 519, 13214, 610, 3274, 2824, 519, 1599, 1871, 269, 19154, 15477, 2010, 1070, 1294, 519, 3982, 2418, 540, 1163, 337, 269, 3044, 14069, 1599, 7982, 1575, 543, 18401, 269, 26157, 3733, 21415, 14919, 3252, 609, 3733, 21415, 17692, 3890, 1599, 666, 581, 1360, 5363, 547, 1205, 519, 1808, 3977, 649, 1616, 269, 28791, 6382, 7150, 267, 14919, 3252, 11716, 715, 26097, 2418, 269, 3733, 21415, 15789, 269, 1403, 972, 616, 1100, 12805, 9343, 267, 634, 9819, 568, 16977, 4737, 1293, 568, 6190, 267, 946, 7024, 715, 26097, 269, 17356, 609, 26057, 269, 645, 3951, 318, 311, 3036, 3890, 7024, 513, 9243, 20548, 26021, 3252, 2132, 513, 2582, 1267, 4737, 1759, 593, 2516, 540, 9343, 267, 2864, 982, 593, 2582, 9343, 269, 1871, 2864, 982, 676, 519, 5569, 781, 3448, 2990, 538, 519, 16849, 519, 2551, 3044, 13065, 540, 16453, 1436, 568, 513, 6538, 1374, 4480, 602, 6971, 1239, 21336, 3599, 543, 1862, 1548, 616, 2834, 7215, 286, 20548, 26021, 3252, 666, 2408, 538, 2824, 8638, 543, 538, 10758, 29308, 15760, 543, 670, 16787, 5058, 21291, 269, 634, 1931, 540, 2609, 538, 713, 5044, 568, 1411, 666, 946, 891, 3252, 538, 513, 13214, 543, 14919, 7215, 538, 519, 14069, 3959, 540, 513, 2372, 2044, 9377, 1843, 610, 950, 2870, 513, 16680, 3553, 1843, 1759, 593, 606, 14069, 13214, 269, 3733, 21415, 19523, 2480, 1335, 320, 269, 16849, 519, 2040, 540, 1163, 337, 269, 8232, 1547, 4045, 832, 543, 29026, 269, 3733, 21415, 2488, 1585, 14919, 3252, 547, 1685, 610, 5173, 519, 10015, 730, 1871, 267, 971, 607, 4466, 5934, 1871, 267, 5021, 1871, 267, 2040, 267, 3092, 269, 1323, 14919, 1599, 15824, 513, 9819, 593, 513, 1305, 540, 2418, 267, 543, 7024, 513, 2582, 1871, 269, 25226, 7358, 2209, 269, 1411, 666, 849, 946, 1931, 538, 799, 519, 9343, 616, 8120, 267, 799, 568, 711, 769, 519, 17609, 540, 14919, 3252, 693, 519, 1439, 540, 713, 3296, 267, 519, 3252, 602, 1450, 519, 6885, 532, 318, 743, 1021, 616, 4553, 676, 606, 14531, 7416, 30916, 264, 2353, 14919, 3252, 4849, 2910, 7419, 307, 30916, 1070, 717, 4629, 16810, 5058, 267, 543, 717, 4629, 16810, 5058, 318, 2839, 11716, 14275, 338, 269, 1280, 2348, 26134, 10569, 616, 23987, 269, 19776, 873, 269, 715, 1638, 2418, 616, 16934, 689, 519, 1267, 8120, 269, 630, 289, 5456, 19860, 264, 8856, 269, 634, 1101, 3890, 543, 2063, 3890, 3252, 616, 14919, 3252, 799, 723, 2495, 1152, 538, 1895, 676, 14511, 269, 630, 289, 5456, 19860, 264, 8856, 269, 966, 2752, 296, 23814, 3890, 7024, 2910, 7419, 307, 263, 272, 264, 568, 1152, 1641, 547, 519, 1482, 1403, 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 ]
[ 267, 476, 1220, 280, 1040, 1703, 616, 849, 12194, 540, 18483, 2094, 519, 5181, 476, 1556, 6285, 563, 2108, 29638, 568, 519, 6498, 540, 1004, 883, 1079, 6688, 267, 2048, 5443, 685, 543, 2048, 342, 1580, 9957, 3414, 5872, 609, 1416, 339, 5474, 267, 1514, 5314, 538, 6689, 267, 9263, 2604, 538, 18273, 267, 543, 575, 25311, 960, 543, 1920, 5107, 267, 2021, 543, 2367, 616, 13998, 9112, 547, 581, 1114, 538, 7180, 267, 8456, 267, 543, 4664, 892, 630, 289, 3073, 520, 3279, 267, 27293, 267, 476, 1220, 271, 267, 533, 269, 476, 10755, 278, 1916, 5804, 513, 1762, 2085, 267, 8695, 786, 581, 5701, 538, 2081, 547, 1106, 27828, 543, 6690, 786, 581, 17411, 538, 2081, 547, 1106, 8706, 6541, 269, 13834, 11475, 616, 18674, 543, 6766, 998, 8041, 899, 519, 1920, 267, 9905, 267, 3506, 543, 519, 2923, 630, 29804, 6996, 267, 24806, 267, 30486, 267, 476, 1220, 278, 1040, 853, 699, 28437, 7180, 568, 4121, 676, 2043, 998, 519, 2528, 540, 891, 7506, 269, 13834, 5107, 616, 519, 4397, 7180, 689, 9038, 543, 8951, 543, 713, 2337, 2844, 4008, 11475, 799, 538, 2490, 1711, 11994, 799, 1291, 547, 16526, 630, 290, 4046, 328, 594, 267, 476, 1001, 271, 1040, 13834, 5107, 267, 13348, 8944, 267, 3023, 1143, 543, 7130, 3565, 547, 4008, 8635, 543, 891, 16526, 1491, 1747, 538, 782, 1514, 5238, 1519, 519, 9036, 543, 693, 1753, 269, 634, 2078, 1063, 13348, 8944, 543, 4008, 814, 1044, 2629, 547, 519, 29884, 2990, 540, 2021, 269, 24686, 8944, 568, 513, 1514, 1062, 1141, 2367, 723, 1379, 936, 7820, 2367, 267, 2021, 543, 1453, 269, 901, 1379, 26520, 538, 519, 1857, 543, 4357, 21384, 630, 29804, 6996, 267, 24806, 267, 30486, 267, 476, 1220, 278, 1916, 763, 1909, 540, 2021, 12926, 814, 1044, 547, 20741, 543, 3251, 693, 1753, 547, 1413, 1310, 519, 1453, 543, 519, 2367, 941, 2938, 607, 519, 2048, 30103, 7773, 2996, 685, 2469, 1055, 547, 960, 547, 7118, 606, 4747, 269, 21540, 12198, 689, 2486, 267, 1100, 3255, 547, 1118, 741, 1378, 2724, 267, 7864, 3255, 585, 2069, 543, 693, 2053, 6469, 5208, 782, 8329, 547, 519, 15746, 540, 2021, 269, 4634, 1498, 972, 616, 811, 2021, 538, 519, 13781, 267, 1813, 547, 4008, 5107, 267, 789, 1869, 13105, 519, 5539, 540, 513, 2048, 16149, 6521, 685, 950, 621, 2501, 547, 4509, 519, 6469, 12106, 630, 310, 269, 654, 269, 17368, 517, 1299, 7577, 267, 476, 1220, 276, 1916, 2005, 568, 513, 2596, 1480, 1318, 547, 581, 1863, 689, 4008, 8635, 538, 519, 9036, 855, 519, 4339, 585, 3160, 3255, 267, 3160, 2628, 543, 4023, 2126, 568, 513, 3586, 5126, 6370, 585, 2021, 563, 18131, 538, 519, 13781, 3068, 16526, 540, 2628, 3379, 547, 2367, 267, 1447, 20380, 7158, 267, 3023, 626, 8456, 543, 7130, 269, 4634, 2021, 602, 616, 3811, 538, 519, 9746, 1158, 3068, 7130, 593, 519, 2048, 27393, 5107, 685, 540, 2021, 2687, 547, 2686, 4978, 630, 310, 269, 654, 269, 17368, 517, 1299, 7577, 267, 476, 1220, 276, 1040, 634, 2048, 6921, 817, 18109, 685, 4016, 547, 7496, 602, 17225, 13319, 540, 2021, 543, 18441, 883, 2362, 16034, 540, 2359, 630, 4517, 3205, 267, 13177, 267, 476, 1220, 276, 1916, 763, 2923, 8309, 547, 4008, 16526, 676, 741, 24575, 540, 2367, 543, 2021, 538, 8874, 267, 8613, 543, 17476, 269, 9093, 616, 3254, 547, 581, 3742, 543, 10728, 269, 1358, 616, 711, 3254, 547, 798, 2777, 1740, 610, 1416, 585, 1453, 269, 6468, 616, 17814, 607, 1373, 13856, 676, 519, 812, 543, 616, 2938, 607, 27303, 269, 1358, 616, 2938, 607, 519, 1416, 3464, 543, 616, 5143, 875, 547, 5225, 2367, 543, 1413, 10694, 585, 873, 563, 12892, 7158, 543, 11393, 616, 5462, 676, 7506, 971, 607, 1362, 267, 4567, 543, 1379, 607, 1134, 607, 15295, 10305, 971, 607, 2085, 267, 14940, 543, 4008, 269, 6520, 1143, 568, 835, 540, 519, 1034, 24245, 28639, 538, 2486, 543, 568, 2808, 607, 1373, 513, 24677, 540, 2596, 1480, 2924, 269, 4317, 4229, 543, 519, 2923, 948, 1711, 4978, 543, 8456, 602, 5806, 3729, 1996, 519, 11361, 269, 853, 699, 19685, 543, 28639, 3136, 547, 1711, 16526, 538, 6803, 2516, 269, 5494, 3234, 5209, 666, 1267, 538, 4057, 3255, 585, 2069, 267, 4057, 2883, 6617, 267, 799, 814, 606, 1198, 593, 741, 1072, 267, 543, 513, 1970, 3044, 540, 2713, 269, 13834, 568, 2813, 689, 4332, 676, 4008, 1514, 5314, 269, 13834, 11475, 616, 18674, 543, 6766, 998, 8041, 899, 519, 1920, 267, 9905, 267, 3506, 543, 519, 2923, 563, 763, 20817, 540, 5763, 267, 1379, 543, 31449, 602, 2291, 568, 4401, 545, 607, 1004, 11179, 840, 778, 741, 2686, 7029, 547, 2418, 540, 7862, 543, 5126, 269, 10251, 267, 1949, 5001, 616, 14764, 547, 3986, 519, 4690, 540, 519, 1004, 602, 21078, 693, 519, 1283, 540, 519, 32756, 1062, 563, 29241, 901, 4518, 454, 2414, 13143, 513, 4704, 547, 713, 2376, 5225, 2824, 513, 26159, 588, 6614, 2630, 912, 16665, 7896, 8698, 782, 454, 19699, 7563, 1315, 31203, 32369, 454, 2252, 596, 616, 519, 3312, 5856, 540, 713, 1557, 543, 1100, 3476, 6999, 547, 723, 707, 960, 3370, 593, 5177, 32487, 2593, 1287, 5225, 281, 0, 3519, 1597, 1304, 324, 16948, 17485, 14950, 637, 632, 544, 2444, 582, 553, 679, 1940, 574, 1304, 334, 267, 16948, 3842, 329, 525, 586, 3842, 329, 525, 267, 586, 524, 788, 650, 15606, 10827, 657, 269, 674, 6759, 3944, 3121, 1313, 528, 2958, 592, 611, 7702, 17059, 15412, 10005, 6446, 694, 1437, 320, 24140, 18372, 18720, 3566, 5362, 1459, 525, 269, 26332, 2088, 1714, 4731, 620, 1304, 334, 632, 1106, 320, 538, 9712, 1092, 563, 15578, 29313, 18306, 23814, 5508, 667, 7728, 3201, 595, 22664, 11123, 27114, 2562, 2464, 454, 291, 1581, 2068, 538, 666, 1149, 568, 1360, 1455, 267, 2523, 538, 1507, 2915, 14981, 269, 1656, 267, 27731, 2068, 568, 3254, 547, 723, 513, 9756, 609, 2295, 2068, 1813, 547, 9190, 13802, 267, 10032, 5160, 543, 2661, 4551, 10707, 689, 519, 5023, 883, 519, 1973, 6908, 267, 799, 666, 1628, 5346, 543, 8936, 547, 519, 16209, 4478, 519, 2295, 269, 3194, 814, 7152, 2417, 5945, 547, 2101, 8219, 971, 607, 519, 281, 8459, 267, 6797, 543, 2295, 269, 3958, 267, 950, 519, 5885, 5642, 2630, 519, 14779, 3587, 7783, 1107, 621, 568, 849, 10032, 269, 634, 11144, 540, 713, 5642, 2530, 666, 849, 2014, 1928, 267, 6028, 10130, 26997, 547, 3548, 269, 898, 779, 1271, 547, 917, 267, 952, 4620, 779, 4522, 616, 711, 5781, 25374, 585, 267, 25188, 541, 543, 7777, 16005, 1628, 13522, 666, 1291, 547, 31470, 26628, 267, 10300, 527, 2670, 267, 27731, 2068, 543, 1256, 5694, 2530, 269, 634, 1434, 3377, 568, 267, 609, 1697, 1416, 543, 2038, 7020, 267, 27731, 2068, 666, 581, 15286, 267, 5701, 267, 543, 1256, 20328, 269, 5221, 10130, 666, 1406, 1491, 1416, 540, 741, 1378, 28182, 267, 621, 779, 4105, 741, 4620, 3237, 798, 269, 2334, 779, 596, 2336, 306, 5456, 10064, 22400, 27946, 670, 3008, 667, 7728, 3201, 11550, 25770, 5960, 454, 268, 14068, 22165, 327, 1107, 6970, 4310, 676, 29318, 12706, 268, 10000, 267, 6904, 2052, 8048, 547, 15482, 8376, 563, 268, 14117, 610, 9466, 29726, 563, 268, 4210, 18543, 267, 769, 4148, 3139, 267, 4414, 267, 543, 5924, 623, 4428, 344, 717, 4548, 563, 268, 13379, 13809, 269, 18648, 2561, 564, 924, 563, 306, 5357, 308, 16739, 9215, 670, 5085, 303, 28217, 309, 7728, 6730, 270, 3036, 570, 3918, 2969, 25783, 296, 7495, 2177, 307, 3201, 20591, 292, 17955, 454, 268, 21480, 8617, 966, 564, 6250, 1080, 585, 12333, 11162, 902, 454, 268, 2422, 15482, 18610, 10378, 1216, 12826, 21187, 585, 17268, 267, 11545, 454, 268, 2422, 15482, 18610, 10378, 1975, 2001, 11545, 454, 268, 5696, 2313, 2659, 8891, 779, 29726, 609, 15482, 18610, 10378, 609, 476, 278, 19053, 312, 10933, 2037, 9195, 1738, 29392, 717, 601, 454, 268, 12315, 2659, 8891, 15482, 4258, 9749, 590, 2403, 4813, 4327, 585, 17268, 454, 291, 7728, 3201, 21598, 2464, 295, 10378, 9501, 6938, 312, 454, 3519, 1597, 1304, 585, 593, 7308, 30559, 4620, 3237, 267, 585, 2951, 1299, 15143, 267, 543, 538, 1532, 15277, 11453, 902, 269, 14640, 2173, 17853, 1582, 15696, 6819, 4542, 31591, 950, 4551, 616, 1459, 269, 26332, 7149, 3983, 7362, 5612, 269, 18724, 839, 4522, 543, 6971, 15799, 1299, 25188, 541, 936, 6066, 609, 7928, 946, 269, 6496, 711, 2014, 28969, 267, 814, 1100, 6492, 610, 5841, 8137, 902, 267, 543, 666, 9108, 581, 1031, 1279, 3856, 269, 15482, 18610, 10378, 1975, 2001, 2337, 2226, 1434, 5711, 1072, 538, 10130, 269, 15822, 585, 17268, 1299, 19949, 936, 476, 1321, 4374, 563, 268, 14640, 2173, 17853, 4542, 31591, 1299, 30001, 3983, 7362, 4929, 17900, 1299, 4551, 563, 268, 2382, 14688, 23906, 2380, 7362, 563, 268, 18564, 2406, 6971, 2627, 25859, 547, 7866, 4620, 779, 6923, 3043, 12837, 936, 942, 563, 268, 13363, 338, 14779, 543, 13000, 31470, 26628, 563, 268, 16237, 1492, 985, 4522, 676, 19620, 19596, 563, 268, 29452, 547, 2061, 27731, 2068, 563, 268, 15822, 585, 17268, 1299, 19949, 2336, 265, 5353, 4705, 585, 2659, 10466, 269, 476, 277, 5174, 523, 9026, 24493, 268, 3080, 269, 17214, 24493, 268, 24433, 563, 8967, 2001, 15482, 18610, 10378, 883, 4620, 779, 5023, 1818, 2386, 547, 2893, 23847, 782, 4522, 267, 14779, 267, 11469, 543, 2182, 3562, 3146, 778, 2127, 269, 19244, 607, 2556, 269, 1684, 711, 946, 811, 982, 476, 275, 2053, 829, 1554, 269, 1280, 5021, 2164, 267, 946, 609, 824, 15482, 18610, 10378, 1216, 12826, 2472, 563, 3722, 20937, 5442, 16165, 3633, 296, 19006, 281, 853, 8494, 1242, 25914, 710, 667, 8610, 728, 30957, 30957, 30957, 2507, 272, 14999, 303, 584, 1881, 4826, 267, 31406, 645, 545, 12365, 622, 267, 8000, 9914, 590, 12643, 622, 267, 31406, 5484, 15605, 622, 267, 31679, 6652, 18754, 11581, 14011, 267, 631, 14007, 3474, 629, 523, 563, 1805, 648, 538, 519, 3312, 8708, 538, 513, 3579, 267, 3819, 1747, 2476, 689, 7943, 693, 513, 2837, 2630, 476, 10436, 13790, 630, 1789, 9180, 1040, 774, 992, 2476, 1022, 30694, 5277, 1310, 1163, 19418, 4266, 563, 16605, 856, 540, 3914, 540, 1453, 543, 10130, 269, 1280, 4049, 3983, 7362, 267, 28332, 14779, 267, 4158, 4522, 610, 824, 7282, 2152, 267, 5077, 707, 16076, 514, 4115, 267, 607, 621, 949, 5815, 513, 811, 3978, 2783, 563, 5591, 18720, 27089, 30685, 525, 513, 14243, 333, 269, 0, 27716, 8591, 1776, 3364, 547, 519, 1592, 540, 1018, 711, 547, 5855, 827, 269, 1261, 740, 3000, 8460, 3571, 20785, 547, 711, 5855, 827, 519, 2104, 269, 1284, 3112, 1852, 519, 2104, 269, 3776, 1445, 1058, 581, 2390, 5132, 6888, 538, 519, 1459, 269, 2334, 568, 519, 1152, 942, 649, 666, 3972, 610, 957, 563, 9961, 713, 3184, 4906, 814, 1044, 7234, 519, 18144, 540, 519, 2295, 269, 1452, 6418, 18144, 5397, 938, 21286, 3527, 602, 616, 7298, 547, 1866, 269, 2441, 6499, 721, 547, 723, 606, 6418, 10103, 543, 32660, 602, 24492, 338, 883, 938, 21286, 2623, 269, 3776, 12429, 538, 13140, 1281, 711, 29343, 540, 16995, 32660, 269, 1261, 1281, 711, 29343, 540, 3834, 665, 27866, 8380, 593, 513, 1397, 267, 5910, 2056, 547, 581, 22233, 267, 547, 3035, 519, 17192, 540, 824, 2367, 563, 27716, 3459, 713, 3184, 609, 606, 6679, 6376, 827, 519, 8404, 540, 8007, 267, 968, 289, 1168, 732, 540, 8026, 707, 32660, 1354, 2367, 547, 581, 8068, 676, 873, 282, 6382, 596, 723, 1100, 8007, 609, 707, 12429, 945, 568, 538, 13140, 892, 630, 31861, 476, 277, 281, 272, 1916, 3891, 7475, 713, 3296, 609, 513, 14656, 6376, 827, 519, 8404, 540, 5855, 281, 1924, 798, 711, 5855, 827, 14182, 282, 585, 14182, 786, 1416, 585, 3294, 269, 3962, 1554, 814, 2614, 8373, 540, 922, 1378, 563, 2691, 2441, 12981, 3571, 20785, 547, 711, 5855, 827, 14182, 1261, 568, 711, 1808, 827, 799, 19048, 789, 616, 547, 2057, 269, 2423, 17067, 267, 1261, 729, 1808, 827, 799, 1919, 789, 941, 711, 547, 5855, 827, 269, 1358, 941, 711, 547, 5855, 827, 741, 2168, 2115, 2469, 796, 5471, 269, 1937, 1845, 971, 607, 281, 4024, 594, 723, 2614, 1426, 547, 3548, 286, 4024, 594, 723, 1216, 547, 4235, 286, 4024, 594, 723, 8799, 9660, 547, 5957, 888, 2080, 4906, 568, 711, 865, 8763, 269, 3571, 4971, 6157, 2882, 891, 2168, 4145, 267, 855, 621, 568, 711, 3908, 547, 891, 32370, 269, 901, 4971, 568, 6626, 538, 922, 9165, 269, 3371, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6240, 543, 4983, 922, 4539, 585, 7344, 1949, 267, 11744, 875, 621, 13462, 3002, 4483, 267, 960, 267, 543, 4835, 1648, 780, 322, 264, 5822, 4521, 540, 26457, 19392, 281, 901, 1898, 1876, 12857, 519, 10206, 540, 23811, 543, 5036, 23451, 593, 519, 4398, 540, 1648, 7503, 3157, 269, 3414, 2013, 2090, 5473, 9817, 267, 14023, 2209, 267, 543, 824, 3457, 267, 649, 786, 30881, 519, 2495, 543, 2956, 540, 519, 2034, 1876, 1247, 13031, 1883, 4702, 4123, 26160, 2404, 609, 21924, 1379, 3977, 543, 10893, 3653, 780, 323, 264, 12059, 4521, 540, 26457, 19392, 281, 7053, 267, 519, 3791, 1876, 3091, 5813, 883, 6207, 4642, 2837, 543, 11225, 519, 3970, 693, 799, 23811, 4485, 4642, 269, 2755, 9583, 7493, 267, 713, 1876, 814, 7096, 6286, 585, 1570, 3601, 543, 3956, 8328, 4066, 267, 5935, 1382, 8846, 543, 6639, 7760, 538, 4610, 971, 607, 7061, 7384, 543, 21367, 2032, 780, 273, 269, 14333, 18734, 3525, 525, 692, 16352, 3964, 519, 13654, 3741, 12044, 5687, 17871, 1949, 267, 649, 1631, 6521, 1445, 547, 519, 3119, 12331, 540, 3002, 4483, 1107, 26634, 267, 28681, 267, 543, 5982, 269, 4197, 891, 6127, 2636, 8030, 547, 3589, 543, 13861, 519, 2095, 540, 1648, 1369, 7344, 1949, 3927, 780, 320, 264, 1230, 9134, 281, 1306, 519, 1034, 16022, 7154, 540, 3002, 4483, 267, 26634, 4386, 998, 1463, 7636, 21611, 1369, 17571, 267, 15559, 267, 543, 9362, 269, 14301, 2390, 6901, 543, 7811, 3631, 267, 649, 786, 17589, 7215, 585, 25801, 3002, 13441, 543, 6542, 2553, 585, 3067, 4328, 2837, 14778, 538, 1950, 22762, 1845, 1210, 13113, 3693, 2409, 630, 293, 4932, 6393, 321, 264, 1230, 557, 794, 281, 9521, 26634, 267, 12768, 21063, 3002, 4483, 3322, 5714, 5163, 543, 2164, 538, 1713, 3560, 19349, 1813, 547, 13557, 5714, 3350, 269, 24167, 1312, 7142, 543, 2067, 28681, 20816, 267, 649, 786, 1459, 21374, 585, 21501, 12768, 21063, 14170, 543, 13686, 4359, 10230, 13502, 6964, 676, 2872, 3401, 899, 4888, 306, 22076, 12071, 550, 543, 2910, 5960, 5357, 5564, 13023, 12695, 780, 322, 264, 24658, 281, 10705, 15763, 538, 10026, 5717, 540, 32721, 267, 32689, 3002, 5385, 13054, 513, 2565, 2460, 540, 1062, 2773, 2066, 3875, 6080, 267, 3226, 538, 1164, 27529, 5054, 543, 14361, 1374, 269, 5548, 1324, 883, 23851, 781, 4521, 543, 853, 1030, 534, 5174, 565, 16379, 10458, 3830, 267, 649, 786, 22113, 519, 5817, 6323, 540, 3109, 7853, 5982, 543, 6338, 1533, 6361, 7308, 19603, 10237, 894, 9781, 3301, 1031, 676, 4648, 5001, 780, 274, 269, 10241, 540, 26457, 19392, 538, 7073, 7177, 692, 2414, 4628, 5660, 519, 1764, 540, 32721, 593, 4207, 4702, 2259, 267, 649, 1590, 2015, 1896, 32055, 3156, 1141, 891, 3741, 2097, 9800, 538, 5499, 6272, 543, 5969, 12967, 2029, 269, 2368, 8037, 2127, 1331, 1384, 320, 264, 5295, 19087, 281, 3245, 2757, 8093, 4492, 2371, 547, 6932, 7791, 2959, 899, 2842, 18434, 543, 3859, 8440, 267, 5687, 17871, 9979, 1404, 606, 16832, 1909, 538, 14291, 6151, 1648, 883, 5201, 269, 15766, 908, 2442, 4783, 19383, 971, 607, 24419, 710, 267, 645, 2001, 2023, 267, 543, 2961, 2254, 267, 649, 786, 7866, 11938, 2994, 6322, 693, 7393, 2949, 2030, 31931, 543, 4227, 2825, 29066, 780, 321, 264, 4676, 3419, 3130, 543, 5794, 16448, 532, 281, 30855, 31181, 5687, 17871, 9979, 267, 2413, 9023, 1949, 5512, 4313, 267, 1426, 11091, 267, 543, 4853, 4393, 269, 10289, 11517, 13496, 543, 10338, 9979, 267, 649, 786, 10625, 3209, 7835, 538, 10357, 7888, 14023, 1218, 267, 23455, 1632, 28306, 619, 267, 543, 5100, 7470, 5610, 14565, 780, 322, 264, 18815, 16370, 281, 14825, 12067, 267, 7286, 267, 543, 18229, 9922, 7048, 8185, 593, 3608, 27668, 1949, 13324, 676, 4835, 13674, 9817, 267, 3154, 18434, 267, 610, 3167, 16546, 269, 9181, 532, 8441, 538, 10316, 25121, 267, 27532, 29584, 267, 543, 4244, 10173, 267, 649, 786, 20838, 519, 4105, 7418, 1500, 676, 5687, 17871, 1235, 2509, 4264, 6283, 3435, 780, 1103, 5758, 267, 713, 1576, 1770, 6663, 547, 1683, 513, 9488, 27733, 538, 519, 17950, 540, 32721, 1247, 10771, 4296, 547, 4207, 4702, 2591, 543, 10124, 269, 1635, 14236, 13654, 3741, 267, 3002, 4483, 12331, 267, 543, 1483, 8996, 3156, 267, 1053, 1058, 10836, 609, 513, 2620, 2989, 7071, 585, 519, 13710, 1761, 540, 32721, 1369, 519, 6626, 2796, 540, 7344, 4702, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 568, 519, 3017, 1063, 7344, 4702, 543, 3114, 4702, 888, 9288, 22817, 4702, 568, 519, 1184, 540, 8888, 267, 2870, 267, 543, 4509, 7344, 1949, 269, 11906, 4702, 568, 519, 1184, 540, 8888, 267, 2870, 267, 543, 4509, 3114, 1949, 563, 1432, 1826, 540, 6030, 798, 596, 991, 547, 1491, 547, 1831, 513, 7344, 11653, 888, 288, 7344, 11653, 3335, 2115, 513, 20277, 779, 4110, 538, 7344, 4702, 689, 606, 26886, 6280, 269, 20996, 4702, 3292, 3335, 3382, 3584, 538, 6128, 267, 6323, 267, 4702, 11707, 267, 32721, 267, 2326, 2257, 267, 543, 2780, 2257, 563, 1432, 616, 519, 1983, 543, 5759, 602, 616, 2556, 547, 581, 3811, 538, 7344, 4702, 888, 763, 1983, 543, 5759, 2556, 547, 581, 3811, 538, 7344, 4702, 616, 912, 5025, 2178, 1620, 540, 6128, 267, 1519, 11810, 543, 6323, 454, 268, 763, 2702, 547, 1374, 543, 5659, 7344, 1949, 454, 268, 763, 2702, 547, 960, 609, 5904, 547, 18082, 543, 5659, 7344, 19523, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 20996, 1315, 26457, 19392, 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, 5149, 476, 277, 281, 9977, 532, 689, 513, 19978, 21887, 692, 7072, 1384, 1103, 2221, 781, 1158, 267, 15970, 814, 1831, 5051, 1950, 267, 609, 1585, 5380, 543, 4485, 642, 3539, 585, 3007, 269, 2290, 971, 5133, 14405, 2390, 13400, 10752, 547, 1683, 5583, 543, 7326, 585, 9870, 1453, 269, 901, 1935, 11363, 2696, 781, 1374, 585, 3885, 267, 1010, 2648, 543, 1416, 585, 873, 267, 543, 875, 3237, 666, 2992, 1346, 7907, 538, 741, 1378, 3347, 609, 741, 1453, 269, 769, 713, 1770, 267, 649, 786, 2263, 1018, 621, 1797, 547, 2385, 689, 513, 13400, 5133, 543, 4983, 1883, 3741, 6537, 689, 23075, 269, 1284, 786, 2015, 1312, 519, 3140, 2796, 540, 13400, 2053, 543, 4207, 3156, 267, 9301, 602, 1247, 2686, 8155, 949, 1689, 267, 519, 15851, 18408, 1336, 538, 2696, 781, 6478, 2611, 4143, 543, 10858, 780, 4089, 476, 272, 281, 4197, 19978, 9977, 532, 692, 763, 6426, 3568, 3875, 15102, 827, 1920, 1272, 267, 1519, 1808, 5528, 585, 3237, 269, 1677, 1174, 891, 3741, 267, 649, 1590, 1101, 5431, 519, 2189, 2470, 540, 3504, 5840, 924, 2486, 543, 2528, 269, 9521, 2413, 5375, 7239, 267, 1141, 1367, 1143, 543, 13190, 616, 3810, 12595, 267, 3504, 5840, 729, 6353, 676, 2178, 18497, 13218, 543, 21712, 3889, 630, 5719, 17458, 16860, 476, 276, 281, 1626, 1040, 19198, 5030, 1927, 538, 6905, 10820, 267, 2324, 24625, 8271, 2509, 1455, 3853, 269, 634, 1909, 540, 3237, 1369, 713, 5943, 10704, 1472, 3246, 5289, 5718, 267, 6044, 267, 9015, 267, 543, 14637, 630, 22977, 1127, 2103, 476, 277, 281, 275, 282, 1160, 18690, 476, 2420, 281, 277, 267, 476, 1724, 281, 2190, 6393, 13010, 267, 1620, 519, 1523, 540, 26315, 568, 1898, 950, 16208, 13400, 3450, 593, 15970, 269, 589, 26315, 531, 2078, 1063, 2696, 543, 8103, 896, 15533, 1454, 540, 7097, 1116, 13414, 267, 543, 713, 1482, 2203, 28279, 22686, 7554, 269, 1306, 13222, 540, 2696, 267, 3237, 4283, 883, 513, 10723, 6876, 609, 741, 1453, 23121, 2149, 267, 3391, 267, 543, 4051, 873, 2687, 547, 10143, 840, 32383, 630, 7049, 8412, 476, 1704, 281, 280, 268, 1691, 282, 1546, 17458, 16860, 476, 277, 281, 277, 268, 280, 1040, 1635, 3257, 865, 267, 789, 7119, 538, 2696, 781, 2699, 3319, 633, 1544, 543, 3565, 547, 5935, 2104, 5481, 945, 786, 8956, 1864, 780, 4089, 476, 273, 281, 6206, 14362, 540, 19978, 9977, 532, 692, 15703, 4295, 3741, 10836, 689, 513, 6297, 1353, 540, 23075, 3823, 15970, 2853, 269, 1452, 1331, 1384, 320, 264, 11146, 543, 16958, 3619, 7435, 538, 7435, 910, 2755, 930, 949, 2070, 6392, 607, 25710, 16375, 547, 2648, 267, 519, 13400, 2272, 8761, 6382, 269, 3807, 607, 2696, 5751, 15962, 6392, 936, 1010, 1004, 267, 865, 1932, 1058, 3237, 29937, 741, 3310, 609, 11587, 543, 8296, 630, 8624, 1601, 2103, 476, 274, 281, 2641, 282, 9210, 1127, 2103, 476, 277, 281, 275, 1040, 901, 1281, 711, 1611, 7989, 1170, 4369, 855, 2864, 4259, 3617, 6302, 602, 6536, 2208, 543, 15657, 780, 321, 264, 19019, 3414, 27884, 910, 10801, 519, 12355, 6426, 267, 2984, 4196, 607, 6472, 585, 23142, 5837, 2418, 543, 4245, 2066, 5481, 630, 3682, 18690, 476, 272, 281, 279, 268, 280, 282, 7225, 2471, 476, 273, 281, 1015, 1040, 6684, 267, 3237, 666, 8415, 6386, 1765, 31347, 6508, 689, 2123, 2833, 610, 23075, 3294, 32737, 3532, 2645, 585, 18836, 532, 7326, 543, 1915, 1646, 780, 322, 264, 2598, 23002, 607, 4813, 894, 267, 3502, 15722, 1438, 910, 2552, 9009, 547, 2442, 3661, 267, 9015, 991, 711, 4125, 10792, 10751, 610, 28170, 542, 269, 13298, 267, 621, 6663, 693, 31925, 3765, 2041, 8326, 543, 5807, 1582, 20820, 630, 3891, 3691, 9749, 476, 1321, 281, 278, 268, 1556, 282, 1160, 18690, 476, 1724, 281, 2190, 1040, 1879, 13950, 14013, 267, 9015, 2337, 3337, 938, 1453, 781, 12271, 543, 8186, 267, 13057, 873, 4724, 32660, 780, 323, 264, 21290, 18321, 995, 12389, 910, 5753, 1451, 811, 998, 8343, 982, 8763, 6044, 4805, 269, 4475, 267, 3237, 1590, 11441, 547, 18220, 2441, 3697, 21644, 3232, 267, 11744, 21548, 267, 9639, 267, 19807, 267, 543, 14696, 630, 31861, 476, 276, 281, 4366, 282, 10218, 2103, 476, 273, 281, 274, 268, 275, 1040, 6270, 3527, 3717, 21514, 1457, 982, 1913, 2479, 1223, 780, 324, 264, 27302, 995, 667, 11163, 593, 2696, 910, 11086, 267, 2500, 13400, 15970, 31963, 2390, 16126, 2390, 2696, 781, 11419, 543, 1379, 269, 8617, 11755, 543, 9066, 5512, 721, 547, 20559, 1010, 3056, 267, 3972, 538, 1010, 1364, 775, 267, 543, 829, 572, 3164, 9624, 2591, 630, 24589, 2089, 2103, 476, 275, 281, 277, 268, 278, 282, 6276, 476, 272, 281, 276, 6393, 4089, 476, 274, 281, 12634, 10241, 540, 19978, 9977, 532, 692, 4407, 16135, 538, 3504, 5389, 267, 13400, 15970, 3788, 22317, 2221, 269, 27933, 560, 4657, 6848, 544, 2803, 543, 9687, 1920, 6384, 267, 10271, 5275, 547, 6318, 5601, 569, 15556, 666, 4019, 891, 942, 3620, 517, 1819, 3741, 21176, 269, 1280, 3236, 1384, 265, 22685, 1154, 2029, 2247, 2685, 1107, 4317, 2923, 5867, 543, 3059, 3457, 2709, 1007, 18817, 585, 2502, 609, 1453, 267, 2943, 13657, 568, 11562, 5896, 1813, 547, 1761, 25354, 630, 11679, 531, 332, 476, 6200, 281, 274, 282, 15623, 476, 277, 281, 2420, 268, 2537, 1040, 14268, 1522, 3715, 2635, 5496, 6208, 267, 1865, 3743, 2228, 2623, 267, 543, 1225, 622, 10575, 14823, 1543, 1927, 563, 265, 19484, 2069, 5079, 1107, 6787, 1904, 532, 585, 1857, 3506, 267, 4357, 3909, 5238, 267, 32059, 267, 610, 10316, 3631, 267, 3664, 7282, 4081, 18697, 2154, 20559, 618, 630, 3682, 18690, 476, 272, 281, 276, 282, 1546, 17458, 16860, 476, 277, 281, 278, 1040, 17859, 540, 28379, 267, 3255, 32736, 585, 10128, 5132, 5250, 2429, 3872, 15322, 563, 265, 674, 29183, 6043, 1107, 5020, 781, 8062, 23366, 1764, 1169, 7622, 269, 27759, 1762, 3283, 585, 14488, 14122, 14237, 12003, 2994, 12979, 1819, 538, 4126, 543, 25167, 676, 11972, 18408, 630, 305, 30689, 476, 276, 281, 274, 268, 276, 282, 6276, 476, 272, 281, 273, 268, 275, 6393, 6962, 1384, 2026, 11609, 2429, 713, 1770, 267, 13400, 15970, 3091, 7096, 4030, 585, 10188, 4207, 1126, 516, 2130, 21140, 269, 14301, 2390, 3638, 6561, 543, 10489, 2056, 13796, 7687, 267, 23075, 2488, 8797, 8480, 585, 30015, 3237, 547, 1352, 23311, 741, 2370, 1166, 4169, 17543, 543, 561, 990, 5944, 269, 2904, 649, 9784, 891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1344, 609, 707, 14538, 10597, 741, 1620, 543, 7071, 540, 1142, 5542, 780, 3721, 476, 1015, 281, 17949, 13786, 4601, 454, 8855, 547, 5000, 3743, 6704, 6208, 1851, 707, 14538, 269, 20644, 1875, 17038, 4022, 545, 8925, 543, 6582, 6283, 610, 25778, 3101, 3681, 585, 1346, 945, 949, 991, 6351, 3478, 1753, 9108, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 13072, 281, 7711, 663, 516, 1690, 592, 807, 593, 17749, 454, 10267, 619, 547, 519, 3501, 11100, 540, 11005, 543, 18656, 10885, 538, 1715, 3840, 3557, 609, 513, 968, 306, 760, 543, 13773, 892, 1205, 12537, 256, 20764, 675, 547, 4605, 1790, 739, 15258, 8916, 689, 519, 674, 5424, 20463, 547, 519, 1520, 597, 1180, 2931, 547, 7043, 6816, 267, 782, 1247, 5260, 1681, 561, 639, 4109, 5391, 725, 693, 12021, 524, 3187, 625, 267, 3094, 7685, 267, 543, 1786, 4546, 625, 269, 5901, 519, 1187, 2469, 543, 1118, 621, 606, 20605, 7552, 676, 7836, 519, 3781, 593, 21935, 256, 6787, 621, 779, 1350, 2086, 532, 538, 513, 28816, 4898, 267, 610, 2713, 899, 28370, 538, 513, 8978, 14500, 267, 596, 666, 1205, 513, 6492, 540, 519, 1434, 1272, 538, 1715, 3840, 3557, 563, 300, 3696, 616, 9415, 267, 855, 18593, 538, 1034, 5468, 829, 1715, 3840, 3557, 4808, 269, 10572, 4213, 610, 18845, 949, 2154, 9633, 9849, 269, 11910, 6619, 543, 2638, 7270, 543, 1514, 2923, 547, 1118, 2386, 18845, 543, 29319, 616, 1930, 543, 2139, 563, 23945, 513, 595, 3187, 3683, 333, 7660, 454, 21026, 10830, 595, 3187, 267, 594, 628, 20403, 630, 293, 5424, 20463, 994, 306, 760, 707, 24738, 593, 3162, 10830, 595, 3187, 538, 594, 628, 20403, 267, 1141, 524, 3187, 568, 6039, 676, 519, 4837, 267, 8184, 267, 610, 11461, 512, 8463, 269, 2991, 596, 4076, 1185, 586, 334, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 24464, 340, 12020, 543, 5071, 257, 607, 851, 540, 834, 23733, 1315, 12426, 547, 7305, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 476, 275, 269, 273, 2422, 540, 700, 303, 667, 7081, 585, 5071, 543, 5811, 540, 27122, 692, 1103, 713, 3296, 267, 649, 786, 5490, 883, 875, 12430, 14691, 630, 10861, 264, 546, 7081, 666, 581, 1031, 607, 513, 3532, 1907, 585, 8888, 543, 7421, 6620, 269, 1284, 3580, 2263, 1585, 5690, 545, 26336, 1141, 546, 7081, 3069, 4249, 606, 1898, 1909, 267, 971, 607, 19406, 6620, 267, 2215, 531, 268, 706, 531, 28203, 267, 543, 2228, 6620, 269, 3776, 3804, 568, 547, 1683, 513, 11826, 2943, 3015, 2126, 540, 891, 3584, 609, 2502, 1483, 8996, 1806, 543, 3156, 780, 1262, 275, 269, 273, 269, 272, 20976, 11582, 27122, 4373, 2304, 19406, 5690, 568, 513, 9971, 6066, 5690, 602, 9060, 2282, 268, 9953, 2711, 3435, 950, 621, 568, 1939, 14260, 2182, 610, 7543, 547, 1265, 3169, 6099, 3435, 269, 1452, 6620, 1419, 7048, 593, 21363, 10148, 543, 1210, 23451, 689, 519, 7222, 12242, 1966, 547, 2708, 741, 2773, 269, 901, 1935, 568, 1634, 607, 2608, 13627, 11582, 3842, 11005, 265, 780, 4131, 781, 2015, 519, 1134, 8153, 3692, 18469, 9744, 4087, 1966, 630, 20003, 10861, 1070, 799, 5713, 607, 513, 1434, 3879, 13577, 1383, 269, 769, 18435, 10861, 267, 2016, 513, 1305, 540, 7218, 1269, 291, 259, 543, 6703, 1269, 293, 8961, 2059, 609, 6679, 3790, 1269, 325, 18386, 328, 259, 543, 4276, 3790, 1269, 322, 315, 3709, 6359, 4151, 1063, 7817, 1269, 329, 1422, 514, 667, 259, 543, 1761, 9744, 1269, 328, 1422, 514, 674, 8961, 649, 1616, 547, 7413, 2698, 1942, 676, 8939, 513, 15410, 540, 1930, 6703, 543, 26471, 1142, 7817, 547, 835, 1930, 9744, 780, 763, 8870, 1982, 19862, 585, 18435, 10861, 814, 12825, 2450, 282, 8754, 4466, 606, 3608, 3169, 3070, 1522, 711, 581, 15164, 269, 5502, 267, 649, 6001, 519, 5043, 1275, 23061, 267, 13844, 513, 27847, 700, 303, 11005, 267, 3850, 721, 547, 1930, 1152, 851, 540, 513, 9744, 269, 2913, 1535, 315, 3709, 604, 348, 2099, 2436, 513, 6824, 1535, 540, 9744, 1775, 568, 8118, 267, 586, 315, 3709, 6359, 348, 20301, 519, 2179, 540, 2095, 8655, 689, 7817, 795, 547, 9744, 1775, 267, 543, 1990, 265, 581, 519, 19993, 1871, 540, 519, 6662, 1599, 269, 3973, 938, 17159, 700, 303, 5654, 899, 1384, 2381, 4476, 4399, 8999, 315, 3709, 328, 1422, 514, 674, 4153, 8999, 315, 3709, 329, 1422, 514, 667, 348, 524, 315, 3709, 6359, 348, 344, 315, 3709, 6359, 23180, 8999, 315, 3709, 328, 1422, 514, 674, 348, 535, 18386, 1460, 315, 3709, 604, 10592, 11357, 915, 547, 912, 7445, 8999, 315, 3709, 328, 1422, 514, 674, 348, 586, 315, 3709, 6359, 13157, 272, 12101, 1721, 718, 795, 1422, 514, 667, 267, 259, 630, 12047, 663, 9547, 994, 259, 271, 1422, 19008, 586, 315, 3709, 6359, 348, 1422, 19008, 1535, 315, 3709, 604, 9574, 315, 1721, 718, 1775, 1422, 514, 674, 267, 795, 1422, 514, 667, 267, 259, 630, 5115, 13369, 23061, 994, 259, 343, 315, 3709, 604, 9574, 586, 315, 3709, 6359, 348, 1422, 28254, 476, 271, 12101, 1721, 718, 1775, 1422, 514, 674, 267, 795, 1422, 514, 667, 269, 6911, 3086, 1577, 781, 4983, 922, 12242, 1966, 269, 29130, 4632, 579, 18386, 329, 585, 3747, 9547, 10148, 543, 642, 18386, 328, 585, 4390, 10148, 780, 10946, 4476, 4399, 8999, 315, 3709, 329, 1422, 514, 667, 348, 579, 18386, 329, 6911, 11357, 915, 547, 912, 259, 340, 18386, 329, 10559, 8999, 315, 3709, 328, 1422, 514, 674, 348, 341, 18386, 328, 1422, 19008, 524, 315, 3709, 6359, 9574, 315, 1721, 718, 1775, 1422, 514, 674, 267, 795, 1422, 514, 667, 267, 259, 630, 817, 793, 532, 8928, 994, 259, 341, 18386, 328, 1422, 19008, 535, 18386, 328, 12101, 1721, 718, 1775, 1422, 514, 674, 267, 259, 630, 641, 2287, 3790, 994, 259, 340, 18386, 329, 267, 642, 18386, 328, 1422, 28254, 476, 271, 12101, 1721, 718, 795, 1422, 514, 667, 267, 1775, 1422, 514, 674, 269, 6911, 2414, 5659, 519, 2298, 540, 606, 16977, 3070, 267, 649, 5635, 519, 1942, 540, 519, 3070, 1996, 519, 6099, 1871, 540, 519, 12242, 6662, 1599, 267, 1775, 4318, 1421, 519, 12242, 3808, 269, 1635, 4617, 546, 7081, 267, 1022, 15164, 3070, 547, 519, 12242, 2488, 513, 2539, 3808, 593, 1990, 24682, 1818, 713, 6476, 3730, 780, 288, 1455, 4480, 1572, 519, 2608, 1440, 2711, 268, 706, 531, 1505, 265, 21437, 1312, 2215, 531, 543, 12242, 15164, 3435, 8195, 269, 1879, 4294, 547, 519, 18435, 10861, 267, 519, 1505, 6238, 676, 4259, 782, 579, 18386, 329, 3160, 547, 4642, 543, 7930, 2810, 873, 2394, 1978, 2175, 3196, 519, 5137, 540, 1007, 1930, 6703, 543, 10467, 269, 901, 27952, 1184, 12958, 1312, 2215, 531, 543, 12242, 15164, 3435, 4171, 3790, 27721, 1369, 513, 3586, 3815, 269, 4935, 267, 649, 3489, 606, 744, 263, 272, 9984, 13627, 11582, 5690, 585, 18435, 10861, 1759, 593, 700, 303, 546, 7081, 780, 1262, 275, 269, 273, 269, 273, 2398, 2711, 5937, 783, 2480, 1335, 320, 4373, 7468, 2711, 268, 706, 531, 28203, 4016, 547, 606, 5690, 545, 1374, 5943, 6273, 676, 519, 2215, 531, 268, 706, 531, 2078, 3964, 998, 700, 303, 546, 7081, 3069, 269, 898, 3091, 17715, 2081, 540, 6061, 2036, 13541, 658, 2042, 5473, 4199, 14305, 543, 11938, 896, 10462, 269, 589, 6093, 2215, 531, 268, 706, 531, 5690, 5161, 540, 2185, 1292, 3268, 1384, 272, 269, 20472, 3355, 15164, 3435, 585, 519, 2215, 531, 543, 12242, 3292, 563, 273, 269, 22352, 519, 12242, 4632, 2687, 547, 30966, 3652, 563, 274, 269, 5136, 1555, 513, 1007, 2215, 531, 15164, 3070, 1759, 593, 8242, 12242, 1344, 563, 275, 269, 19244, 3268, 476, 273, 1700, 274, 2394, 26694, 7355, 1558, 780, 1607, 28203, 18715, 19427, 2094, 12242, 10311, 2087, 519, 12242, 6662, 1871, 267, 3056, 5555, 547, 5688, 1275, 1813, 547, 2178, 546, 7081, 269, 5015, 267, 6297, 3903, 540, 9337, 3652, 2636, 18445, 23451, 593, 519, 5223, 1063, 2215, 531, 543, 12242, 6859, 267, 4611, 538, 19406, 6620, 780, 2690, 3236, 267, 2015, 519, 5929, 22051, 536, 760, 691, 924, 12805, 1966, 267, 1141, 649, 2832, 547, 6474, 9136, 2066, 1079, 5036, 865, 607, 547, 11694, 519, 2040, 540, 6316, 12035, 269, 4635, 519, 2215, 531, 268, 706, 531, 28203, 267, 649, 1101, 3355, 1125, 519, 12242, 4632, 2404, 609, 8728, 11737, 337, 3320, 269, 2311, 1169, 21767, 267, 649, 2333, 519, 2418, 540, 796, 3901, 3481, 14622, 8167, 958, 547, 741, 12543, 262, 12242, 4632, 2394, 513, 1007, 11160, 13586, 2619, 19674, 267, 13031, 513, 1732, 2215, 531, 3070, 269, 16828, 267, 1310, 1710, 7019, 1082, 23200, 267, 519, 2215, 531, 543, 12242, 6859, 14626, 728, 267, 27548, 606, 6099, 12805, 780, 1262, 275, 269, 273, 269, 274, 6732, 27122, 4373, 15697, 6620, 4308, 609, 18615, 3375, 6194, 3157, 13296, 3403, 1239, 21128, 24482, 936, 942, 267, 8506, 7525, 3664, 1510, 6616, 2104, 11378, 269, 3371, 267, 700, 303, 546, 7081, 2337, 17589, 8013, 12753, 9789, 10782, 30924, 5223, 1063, 519, 2773, 540, 606, 2228, 5690, 543, 606, 22356, 804, 1515, 341, 1195, 656, 11218, 2348, 2347, 1344, 827, 519, 3003, 5311, 909, 12506, 780, 13706, 519, 23122, 1966, 267, 1141, 11042, 585, 562, 10457, 12446, 18615, 569, 267, 543, 17849, 3664, 1590, 581, 1500, 2390, 5870, 1142, 11134, 1510, 11291, 269, 1677, 11694, 519, 5506, 540, 7446, 519, 1655, 11134, 267, 649, 2226, 12242, 4632, 8204, 3448, 16034, 1851, 4767, 23078, 269, 16270, 11287, 513, 1007, 11134, 267, 649, 16926, 1864, 952, 1010, 7584, 20489, 519, 12242, 4756, 1871, 282, 6382, 267, 649, 1167, 731, 1864, 269, 901, 2241, 2228, 4640, 8098, 1080, 513, 9395, 8013, 5223, 540, 552, 14370, 324, 6629, 272, 264, 19749, 486, 272, 269, 6812, 272, 280, 267, 6508, 998, 700, 303, 546, 7081, 7440, 780, 1103, 3932, 267, 1620, 700, 303, 546, 7081, 6087, 16367, 6272, 543, 9382, 540, 10427, 6620, 17364, 2789, 11890, 269, 14146, 532, 2553, 899, 19406, 3842, 11005, 267, 2215, 531, 268, 706, 531, 28203, 267, 543, 2228, 6620, 5012, 547, 27985, 16135, 2409, 20483, 676, 2178, 6310, 18715, 267, 22338, 519, 1259, 2509, 7347, 543, 3608, 12985, 2645, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 18893, 574, 1436, 543, 16407, 6193, 21537, 25125, 257, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 27122, 585, 3060, 11938, 2580, 834, 274, 269, 4985, 547, 5276, 5752, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 700, 303, 546, 7081, 585, 1374, 543, 2079, 540, 6620, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 275, 269, 272, 269, 9502, 540, 700, 303, 546, 7081, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 273, 269, 2422, 540, 700, 303, 546, 7081, 585, 1374, 543, 2079, 540, 6620, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 6092, 5149, 281, 19484, 17716, 543, 7731, 5020, 609, 16989, 11838, 281, 589, 5564, 573, 7645, 13979, 692, 4089, 476, 272, 281, 4197, 16989, 11838, 1369, 12259, 658, 12745, 338, 692, 3849, 738, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 264, 814, 1279, 1044, 2404, 609, 6689, 2589, 971, 607, 791, 6160, 2032, 267, 30759, 267, 543, 7965, 24569, 3007, 282, 2705, 267, 621, 781, 5051, 6444, 602, 891, 2591, 666, 6414, 883, 15296, 543, 3648, 1764, 22686, 3347, 269, 769, 713, 3296, 267, 649, 786, 5490, 4514, 883, 519, 15491, 2470, 540, 2937, 11838, 267, 922, 1761, 2360, 593, 1920, 6384, 267, 2792, 3270, 267, 543, 2949, 8171, 269, 5015, 267, 649, 4927, 2263, 1585, 7459, 543, 2994, 6322, 693, 5807, 6043, 543, 14304, 4296, 1063, 4891, 1141, 835, 610, 1312, 2043, 1459, 609, 11838, 780, 272, 269, 272, 23369, 543, 19809, 540, 16989, 11838, 692, 763, 5868, 540, 2937, 11838, 12346, 8185, 593, 1582, 3146, 19959, 2589, 1813, 547, 519, 9000, 540, 6662, 3800, 899, 1346, 2139, 585, 1453, 630, 324, 3052, 1421, 12773, 10253, 6192, 676, 3610, 1040, 12580, 949, 8915, 8335, 538, 4079, 3379, 547, 1453, 910, 1419, 9306, 811, 5705, 569, 2943, 1869, 4929, 1713, 11605, 543, 15717, 2066, 2789, 11890, 540, 1272, 1519, 960, 2773, 267, 2883, 2359, 267, 942, 2359, 267, 543, 2078, 9547, 269, 5871, 4191, 540, 2937, 11838, 7854, 7340, 6888, 267, 771, 32360, 267, 3929, 7988, 28832, 267, 543, 2042, 26724, 4247, 1107, 782, 540, 799, 723, 7096, 6286, 585, 15982, 12352, 780, 272, 269, 273, 8177, 540, 16989, 11838, 593, 4039, 1049, 18868, 692, 2691, 2451, 30313, 3042, 267, 2937, 11838, 666, 1711, 1379, 20817, 1369, 15185, 267, 3565, 547, 4606, 540, 32659, 267, 543, 24183, 8994, 2463, 269, 1280, 3236, 267, 950, 835, 7649, 9846, 9620, 609, 5870, 21852, 610, 16180, 19647, 267, 519, 824, 7649, 1522, 8263, 5539, 585, 5883, 7622, 26050, 543, 1126, 3249, 11645, 267, 7551, 17923, 2757, 4008, 5107, 543, 588, 604, 1782, 552, 6549, 9107, 16431, 269, 3683, 942, 267, 713, 6422, 666, 2144, 1712, 29281, 9547, 543, 1266, 2658, 4606, 540, 17140, 543, 29359, 780, 11101, 267, 1382, 5267, 602, 2043, 609, 11838, 616, 7466, 607, 2693, 547, 1995, 16028, 3379, 547, 741, 5778, 20200, 673, 13413, 269, 901, 15398, 1981, 19156, 519, 991, 585, 14942, 6304, 3646, 13389, 15185, 4299, 676, 11838, 269, 1635, 30015, 4891, 609, 2500, 2792, 2645, 267, 6568, 20671, 5751, 267, 543, 28400, 25531, 827, 11838, 267, 16293, 666, 948, 11574, 930, 540, 519, 18111, 614, 1190, 4539, 2404, 609, 713, 4524, 780, 272, 269, 274, 634, 10020, 540, 853, 7950, 543, 8682, 21178, 7950, 538, 16989, 11838, 692, 8601, 2810, 4656, 4478, 2790, 1072, 2152, 267, 16663, 3788, 513, 23773, 11064, 7303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 990, 2884, 6739, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 6576, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 8836, 7698, 1143, 256, 5620, 596, 2479, 2219, 827, 1018, 2306, 513, 1433, 2027, 286, 1772, 621, 1175, 519, 1913, 3330, 267, 610, 1281, 8066, 519, 2168, 1433, 2339, 1932, 286, 4270, 267, 972, 781, 513, 2898, 2361, 1572, 16520, 29576, 602, 5654, 883, 2055, 899, 891, 269, 4653, 649, 786, 1445, 593, 8836, 7698, 1143, 267, 799, 7710, 875, 513, 960, 540, 3332, 13462, 609, 922, 3140, 2796, 1107, 1919, 899, 950, 621, 729, 2854, 267, 1141, 267, 543, 1946, 269, 1284, 3513, 1256, 1865, 875, 713, 2856, 12211, 547, 2025, 5288, 269, 1007, 2081, 540, 7680, 2984, 267, 971, 607, 9102, 2835, 8957, 552, 9248, 2439, 4131, 781, 1376, 676, 1620, 519, 2165, 1412, 332, 1468, 1143, 9538, 15439, 2322, 267, 621, 1797, 3168, 693, 3615, 1472, 721, 543, 3206, 827, 741, 2956, 538, 938, 2729, 269, 1280, 1383, 267, 707, 5172, 11442, 1522, 723, 2366, 14939, 1871, 1317, 540, 519, 8823, 2404, 609, 621, 269, 6684, 267, 2686, 1570, 1235, 1353, 2835, 607, 811, 982, 1175, 1913, 282, 789, 1413, 693, 3388, 4478, 873, 910, 899, 1957, 2298, 267, 13944, 2511, 267, 12383, 267, 543, 1256, 519, 3382, 1374, 256, 2353, 1346, 2609, 666, 2995, 721, 1945, 2189, 827, 519, 942, 1974, 538, 799, 519, 1433, 729, 2813, 780, 3086, 4952, 952, 782, 2835, 2968, 5907, 1862, 30524, 4376, 1689, 286, 25999, 256, 661, 9248, 1810, 1405, 2709, 519, 1482, 28241, 1995, 607, 7432, 3817, 538, 513, 2168, 1433, 269, 1411, 4413, 856, 593, 3877, 899, 11006, 2553, 610, 13504, 1159, 644, 2471, 2451, 3297, 1247, 2542, 896, 519, 6227, 3735, 693, 3781, 269, 1452, 2370, 3344, 949, 3100, 796, 28695, 267, 855, 789, 2965, 3180, 10475, 3140, 10881, 269, 1879, 4974, 9956, 781, 4249, 267, 585, 3236, 267, 3173, 4983, 1114, 21820, 547, 1451, 875, 1010, 1568, 7960, 936, 942, 998, 2242, 1500, 1282, 8228, 3157, 269, 700, 3151, 1569, 547, 891, 11029, 23456, 1223, 1764, 938, 1620, 540, 2250, 4529, 3648, 780, 4913, 267, 1577, 781, 3314, 602, 1169, 3510, 814, 5294, 543, 931, 269, 2755, 2469, 3059, 1522, 1611, 9561, 1978, 15889, 3344, 267, 621, 849, 10741, 909, 3255, 269, 5994, 2348, 5215, 540, 2835, 2139, 14678, 593, 513, 2582, 3926, 256, 7913, 5867, 5512, 2653, 10478, 1369, 5931, 267, 4687, 4967, 609, 2828, 5001, 267, 543, 24758, 4914, 4654, 16900, 269, 9578, 267, 11091, 3587, 12863, 2094, 3441, 547, 835, 5299, 3085, 1405, 1611, 9561, 519, 3003, 1650, 11014, 780, 3383, 267, 1934, 781, 519, 2462, 2243, 281, 6496, 8508, 2029, 15093, 1271, 3140, 4030, 286, 2107, 798, 2640, 29387, 9271, 286, 2334, 5673, 593, 7247, 596, 2307, 256, 7756, 1004, 4782, 1114, 23447, 1759, 593, 2123, 6492, 543, 1565, 6163, 269, 1809, 1100, 2339, 1018, 3898, 17993, 267, 1142, 2488, 3407, 5813, 883, 519, 2528, 602, 3812, 621, 780, 2026, 2104, 3988, 543, 17024, 267, 596, 1205, 547, 6430, 875, 1454, 2597, 547, 2285, 1585, 12043, 269, 5457, 267, 6998, 8049, 2055, 899, 891, 12662, 596, 1318, 538, 1899, 609, 5339, 13915, 3695, 2686, 1570, 1143, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 29209, 8397, 7857, 1436, 5526, 547, 2322, 5339, 10070, 693, 835, 779, 31840, 267, 855, 267, 607, 930, 13915, 24633, 267, 519, 2835, 2933, 616, 5051, 856, 540, 3914, 607, 6280, 8021, 3136, 547, 6521, 689, 1373, 2048, 874, 9713, 1065, 21627, 1559, 685, 547, 4742, 2048, 17739, 2823, 1023, 685, 547, 7857, 1242, 2326, 630, 1805, 879, 742, 518, 267, 476, 1001, 273, 281, 476, 28656, 1040, 4658, 945, 616, 6537, 547, 1820, 2835, 1419, 1265, 602, 3059, 1147, 5766, 919, 2048, 331, 871, 4743, 685, 630, 303, 23803, 267, 476, 1001, 273, 281, 476, 1428, 1070, 543, 5640, 540, 1433, 543, 2923, 1686, 948, 721, 5431, 875, 7857, 1436, 6650, 2812, 519, 3140, 1344, 11251, 538, 267, 543, 5467, 569, 2833, 19310, 1243, 676, 267, 519, 1570, 640, 540, 1820, 13742, 630, 324, 3052, 269, 4858, 651, 267, 700, 8636, 879, 1040, 901, 568, 1813, 538, 1804, 851, 547, 519, 2556, 6521, 538, 1570, 640, 689, 1820, 547, 3059, 2923, 543, 519, 7687, 13684, 676, 1455, 12331, 540, 3059, 4159, 269, 1656, 2943, 267, 607, 1082, 13915, 11760, 267, 2048, 323, 13424, 1436, 3217, 1747, 538, 606, 4346, 540, 2530, 543, 2744, 685, 630, 15404, 8688, 267, 476, 1001, 277, 281, 476, 1839, 267, 3312, 24495, 923, 1070, 543, 851, 540, 519, 9153, 540, 519, 3059, 23408, 568, 602, 2048, 21745, 1388, 2923, 524, 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, 7698, 1143, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 11193, 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, 2484, 2476, 267, 972, 5030, 513, 6126, 2370, 15513, 3957, 623, 2089, 514, 269, 623, 2089, 514, 6068, 547, 2721, 782, 12204, 540, 1919, 267, 855, 646, 2523, 17329, 547, 2721, 10580, 269, 1261, 4769, 1405, 917, 1946, 267, 855, 1945, 3330, 1864, 1175, 5433, 6537, 547, 873, 780, 3080, 1554, 267, 1247, 623, 2089, 514, 729, 25747, 5373, 513, 5858, 267, 513, 8797, 2025, 22916, 517, 3957, 595, 539, 878, 14059, 1864, 269, 834, 15916, 267, 1762, 835, 2437, 1767, 595, 539, 878, 269, 834, 296, 1294, 596, 2972, 5373, 10580, 3010, 303, 2089, 514, 21330, 23362, 269, 834, 8133, 256, 594, 2648, 10580, 269, 1358, 1118, 803, 1745, 9350, 543, 10704, 3010, 290, 539, 878, 20493, 27145, 269, 834, 2791, 917, 267, 1346, 10580, 596, 899, 547, 2721, 616, 2965, 1572, 1412, 332, 663, 1023, 9538, 1656, 789, 616, 2027, 1317, 789, 2099, 519, 2856, 540, 1412, 785, 1204, 6672, 10086, 799, 1797, 4742, 707, 3020, 1582, 3010, 30948, 1281, 602, 1611, 8119, 4280, 623, 2089, 514, 8049, 569, 780, 290, 539, 878, 6045, 267, 834, 11039, 267, 1142, 1268, 814, 1082, 1114, 2694, 910, 4555, 267, 4606, 267, 8823, 267, 543, 865, 593, 269, 6884, 891, 2694, 1205, 6404, 909, 543, 11821, 269, 1809, 950, 649, 1491, 942, 547, 6432, 547, 6000, 267, 899, 950, 596, 2721, 707, 8260, 1023, 267, 1287, 649, 1376, 547, 1174, 938, 6418, 30441, 1732, 269, 2334, 781, 1018, 13619, 6672, 568, 782, 827, 15323, 303, 2089, 514, 2219, 827, 713, 585, 513, 4090, 1354, 6998, 267, 834, 3383, 267, 952, 594, 1832, 5373, 1250, 8260, 1023, 267, 786, 594, 1831, 811, 8885, 12482, 290, 539, 878, 669, 3089, 1194, 28663, 269, 834, 1103, 513, 1259, 267, 9811, 256, 3807, 3314, 267, 1169, 1899, 543, 7455, 596, 1039, 2337, 3142, 856, 945, 596, 5963, 616, 269, 1924, 267, 1810, 1405, 5855, 1932, 1454, 827, 1818, 3388, 3501, 282, 1445, 3079, 593, 11589, 3054, 998, 707, 1148, 3010, 5804, 602, 1554, 4464, 267, 623, 2089, 514, 16668, 8260, 1023, 8164, 646, 4941, 547, 1174, 5128, 1732, 269, 1879, 646, 5185, 2591, 610, 2352, 4664, 267, 646, 1131, 1694, 1524, 609, 513, 4062, 540, 1957, 543, 1577, 1010, 2295, 3391, 1010, 18116, 269, 2060, 1142, 5858, 646, 6192, 267, 646, 1336, 513, 2631, 540, 4708, 543, 9355, 3395, 1369, 1864, 780, 4517, 1256, 1498, 623, 2089, 514, 7948, 1405, 4628, 9787, 519, 1523, 540, 6530, 610, 21911, 2943, 267, 646, 6785, 2620, 1524, 602, 2870, 1010, 8260, 1023, 5280, 1864, 1451, 811, 827, 5128, 543, 875, 646, 2170, 539, 609, 1866, 1472, 1864, 269, 769, 3257, 865, 267, 623, 2089, 514, 2968, 711, 1152, 513, 18668, 15513, 855, 849, 513, 2186, 518, 3659, 547, 3025, 538, 1010, 10477, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 297, 2426, 8260, 8403, 13513, 7824, 682, 342, 529, 543, 804, 1046, 2835, 585, 1453, 267, 8260, 8403, 568, 513, 21370, 6041, 540, 519, 4099, 519, 1582, 693, 795, 2426, 269, 14161, 795, 2426, 521, 1101, 8260, 8403, 513, 1390, 4308, 540, 795, 2426, 521, 21911, 18808, 609, 519, 7664, 540, 1367, 8260, 531, 553, 2813, 676, 1010, 2550, 269, 28044, 338, 960, 729, 9565, 538, 519, 4610, 540, 2618, 17226, 267, 19795, 267, 22884, 267, 3332, 267, 6138, 267, 543, 3909, 2090, 269, 6875, 513, 1413, 693, 3817, 689, 519, 2699, 1433, 676, 1286, 331, 795, 2426, 563, 1607, 1007, 8260, 8403, 14266, 5654, 4241, 543, 3947, 721, 513, 1390, 2601, 547, 3643, 3905, 331, 9017, 519, 10723, 5180, 269, 14161, 31830, 822, 795, 2426, 543, 519, 14609, 7290, 8260, 8403, 1557, 476, 18458, 278, 269, 898, 666, 2408, 538, 9909, 543, 22649, 610, 621, 666, 581, 2813, 31380, 553, 676, 5373, 269, 634, 8260, 8403, 607, 5626, 9259, 2408, 31380, 538, 9909, 267, 538, 1978, 2829, 540, 4655, 267, 543, 538, 2665, 540, 269, 28044, 521, 2663, 2259, 540, 2348, 1010, 2550, 547, 31380, 1711, 8260, 531, 553, 568, 513, 6305, 1383, 540, 795, 2426, 521, 1378, 29293, 883, 519, 17499, 4742, 2500, 2645, 538, 28624, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5715, 1204, 6672, 6713, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 28044, 1014, 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, 476, 277, 269, 274, 15937, 32438, 692, 2026, 649, 3914, 519, 3932, 540, 713, 8804, 1837, 267, 621, 568, 1271, 547, 2992, 593, 519, 1570, 4988, 543, 2015, 922, 6286, 585, 1312, 9439, 543, 3173, 538, 519, 2361, 269, 10801, 713, 1433, 267, 649, 723, 8268, 1585, 3584, 1644, 547, 8804, 267, 1519, 5092, 3664, 267, 3854, 2497, 543, 2628, 719, 3609, 267, 1981, 2359, 267, 543, 3156, 540, 8804, 269, 1284, 723, 849, 8947, 519, 2104, 540, 8804, 543, 875, 6639, 7760, 949, 3337, 519, 2872, 269, 769, 713, 3803, 3296, 267, 649, 786, 2709, 938, 3803, 4555, 593, 891, 3584, 543, 1683, 930, 5583, 585, 1346, 3168, 547, 4019, 713, 1702, 538, 741, 3318, 2729, 610, 2417, 3565, 547, 519, 2361, 998, 1382, 780, 20058, 267, 621, 568, 2629, 547, 5431, 519, 2956, 540, 7881, 538, 8804, 269, 634, 2518, 2883, 6433, 540, 476, 1220, 279, 12006, 519, 4539, 540, 30907, 2623, 538, 519, 2872, 267, 3056, 547, 2799, 7939, 543, 23388, 269, 1306, 8804, 4648, 267, 621, 568, 1898, 547, 27481, 519, 5207, 5683, 4441, 543, 4225, 519, 4690, 540, 7218, 543, 8639, 1657, 2123, 2744, 269, 901, 2882, 1373, 12001, 827, 12375, 267, 4220, 267, 543, 7526, 540, 1719, 267, 607, 1134, 607, 20170, 547, 4143, 4031, 543, 6042, 269, 1635, 3257, 865, 267, 8804, 4648, 666, 948, 11177, 3972, 538, 519, 2872, 543, 2327, 922, 1279, 3856, 6940, 780, 30772, 267, 621, 568, 1271, 547, 11760, 519, 7687, 540, 8804, 3069, 269, 2755, 8804, 6436, 971, 607, 7073, 5800, 12859, 7869, 630, 6573, 307, 1070, 13317, 2667, 564, 623, 878, 532, 7844, 630, 290, 4338, 300, 1070, 543, 26840, 623, 878, 532, 7869, 630, 8008, 307, 264, 723, 3177, 3407, 4030, 883, 2883, 6990, 267, 789, 616, 1759, 593, 1896, 10054, 602, 949, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1804, 543, 568, 711, 15558, 676, 519, 1648, 5950, 950, 519, 6675, 2170, 538, 3070, 630, 20357, 972, 568, 1100, 2178, 5872, 1063, 8701, 543, 1875, 335, 6897, 6675, 1040, 8701, 640, 269, 2348, 9864, 2318, 543, 9864, 2942, 10997, 264, 689, 8701, 7554, 12882, 22935, 1879, 1705, 1418, 2575, 1831, 2404, 609, 13836, 286, 898, 568, 3810, 19729, 538, 1216, 267, 609, 513, 2539, 32610, 538, 8701, 30177, 971, 607, 19844, 543, 8715, 12935, 269, 25289, 28355, 568, 3812, 20749, 676, 8156, 18654, 609, 1216, 281, 6970, 302, 1341, 670, 476, 273, 12882, 22935, 1772, 18493, 730, 5144, 519, 1482, 3364, 607, 27772, 5144, 286, 634, 1083, 2406, 19872, 11775, 540, 7513, 23253, 630, 4445, 26011, 267, 18369, 534, 924, 543, 606, 5139, 1679, 264, 849, 8858, 513, 1427, 5766, 8565, 32610, 585, 519, 1482, 2601, 1317, 741, 27072, 6547, 616, 608, 1278, 6193, 269, 5808, 568, 519, 13074, 12081, 532, 13431, 292, 19598, 542, 540, 782, 942, 286, 2334, 1797, 602, 519, 2249, 1131, 723, 547, 723, 513, 13581, 2318, 5279, 693, 835, 1439, 543, 513, 13581, 2942, 5279, 693, 519, 6587, 1439, 269, 630, 310, 7364, 1070, 589, 11140, 949, 581, 1875, 335, 6897, 2901, 950, 972, 568, 606, 3160, 4687, 540, 9211, 1063, 519, 1079, 8444, 540, 513, 1019, 30061, 11140, 610, 1317, 540, 519, 27101, 11460, 540, 8701, 7554, 538, 513, 811, 1950, 11140, 269, 14645, 26115, 15100, 476, 1708, 271, 25092, 9012, 267, 20941, 269, 898, 568, 849, 1031, 538, 4195, 1216, 2126, 585, 9870, 519, 9063, 540, 519, 1216, 865, 602, 12992, 786, 711, 30599, 1372, 1141, 519, 3490, 1216, 568, 15755, 267, 1317, 621, 568, 1582, 15696, 6819, 543, 1281, 711, 6318, 519, 9063, 1932, 1454, 269, 1879, 606, 3693, 7768, 540, 8444, 602, 11593, 6336, 9211, 630, 320, 4496, 264, 23465, 609, 606, 3693, 7768, 540, 8444, 602, 11593, 12882, 22935, 5440, 1670, 21069, 17183, 9351, 281, 476, 273, 12882, 26872, 11054, 3267, 25289, 28355, 814, 1044, 3769, 1369, 1896, 2326, 543, 21734, 30422, 602, 616, 1031, 538, 513, 1297, 540, 2126, 23857, 538, 1439, 16599, 923, 269, 21069, 834, 1103, 7998, 267, 8701, 640, 568, 513, 9668, 540, 3167, 5279, 3056, 547, 513, 11140, 610, 922, 3114, 2516, 2348, 606, 3167, 16702, 1961, 610, 6687, 1961, 4090, 269, 901, 7503, 568, 851, 540, 519, 1309, 755, 545, 1944, 1900, 538, 519, 918, 2761, 1184, 585, 1818, 17870, 269, 1280, 3236, 267, 7250, 17296, 267, 670, 5141, 267, 568, 513, 3154, 538, 799, 519, 7250, 543, 20841, 616, 524, 15772, 1836, 3808, 267, 855, 952, 670, 5141, 568, 11164, 16940, 883, 1216, 267, 621, 9357, 3278, 4625, 547, 2285, 519, 670, 266, 543, 1849, 268, 540, 513, 8652, 18608, 545, 3679, 3070, 269, 16645, 6162, 849, 946, 7513, 28355, 547, 5862, 741, 16095, 8075, 538, 15787, 267, 9031, 543, 3127, 269, 476, 272, 269, 6684, 267, 7111, 4892, 12926, 1750, 14954, 10269, 3762, 609, 7513, 28355, 6508, 689, 26151, 30114, 19895, 16115, 547, 3986, 519, 2360, 269, 769, 824, 1913, 267, 6970, 5141, 273, 2982, 811, 8984, 540, 12882, 22935, 769, 21400, 9279, 320, 3762, 267, 7513, 28355, 568, 2356, 1750, 14954, 7258, 547, 1832, 519, 30175, 1355, 8102, 1218, 26947, 2139, 585, 10338, 676, 519, 1560, 269, 25289, 28355, 734, 31020, 267, 855, 519, 28355, 9357, 814, 513, 32128, 6125, 538, 621, 269, 634, 2601, 585, 713, 2864, 16613, 7613, 568, 602, 519, 27072, 540, 7513, 28355, 538, 1216, 568, 606, 608, 1278, 6193, 1184, 267, 543, 849, 740, 12742, 547, 2274, 13378, 601, 1512, 781, 6240, 269, 634, 2497, 568, 9838, 547, 602, 540, 27002, 263, 15121, 264, 476, 273, 630, 321, 745, 322, 924, 2497, 5148, 1775, 4318, 1421, 519, 20017, 26606, 19381, 728, 14953, 269, 6970, 4596, 274, 568, 8701, 543, 621, 568, 5442, 338, 20107, 538, 1216, 269, 5221, 540, 922, 1970, 17219, 543, 519, 7646, 1145, 540, 922, 2596, 3601, 267, 1793, 8898, 18654, 568, 4922, 1031, 538, 519, 1426, 2872, 281, 769, 5053, 267, 7513, 28355, 568, 1572, 1608, 269, 25289, 28355, 568, 3812, 20749, 676, 8156, 18654, 609, 1216, 281, 769, 519, 8047, 621, 666, 581, 5423, 676, 11544, 25694, 3435, 540, 7513, 17296, 543, 9770, 28355, 269, 8771, 269, 594, 3513, 2995, 596, 519, 8701, 610, 1875, 335, 6897, 1592, 2630, 269, 8166, 2433, 4856, 7758, 908, 31736, 2450, 543, 2627, 7998, 1282, 10338, 883, 24797, 6477, 7757, 3060, 3889, 269, 634, 1249, 568, 7513, 19941, 568, 1202, 20107, 543, 7513, 22833, 12365, 622, 568, 19729, 538, 1216, 269, 1215, 1082, 18253, 540, 27488, 616, 972, 538, 835, 3727, 540, 25289, 19381, 728, 286, 898, 3029, 513, 2770, 27918, 9901, 4396, 602, 11226, 538, 519, 8851, 540, 4130, 5536, 689, 1216, 267, 4611, 538, 513, 20501, 1587, 269, 835, 269, 26681, 12882, 22935, 674, 822, 712, 924, 2626, 269, 634, 1151, 889, 14923, 540, 7513, 28355, 538, 1216, 568, 711, 1271, 269, 7316, 666, 1775, 1265, 519, 25146, 20794, 11768, 585, 513, 476, 1960, 271, 642, 342, 8709, 6782, 610, 1022, 642, 342, 8709, 6782, 585, 519, 2339, 286, 476, 769, 519, 1309, 755, 545, 1944, 5106, 267, 14616, 18654, 568, 3773, 547, 3039, 4508, 528, 267, 799, 568, 513, 3070, 5097, 540, 9770, 19941, 543, 9770, 23253, 3812, 676, 4744, 6295, 1159, 3881, 267, 799, 568, 519, 25183, 1106, 540, 891, 6464, 689, 519, 6051, 19460, 269, 6970, 2285, 856, 476, 273, 9211, 547, 581, 7123, 269, 22352, 281, 786, 8007, 1655, 2626, 585, 513, 2656, 2626, 269, 7726, 815, 1772, 10878, 15121, 630, 31406, 28355, 3738, 8701, 610, 1875, 335, 6897, 7790, 8575, 1125, 11273, 609, 1608, 630, 514, 513, 1184, 540, 562, 4869, 600, 531, 1436, 264, 3587, 4630, 4176, 630, 333, 4869, 600, 531, 1070, 799, 3648, 4679, 519, 6915, 822, 22355, 540, 562, 13519, 514, 630, 341, 9559, 645, 274, 1070, 543, 568, 849, 2808, 13820, 1512, 543, 4443, 547, 7558, 269, 769, 519, 2475, 267, 10878, 15121, 568, 513, 14478, 3114, 1813, 547, 922, 946, 538, 8715, 2504, 269, 1879, 2469, 713, 8905, 267, 513, 2596, 8701, 11547, 593, 707, 1875, 335, 6897, 19857, 568, 18374, 513, 1590, 282, 6382, 267, 930, 15895, 561, 6614, 4667, 547, 2611, 538, 519, 1587, 267, 1818, 621, 811, 10792, 563, 3528, 519, 1439, 540, 713, 3296, 267, 596, 786, 581, 2111, 547, 281, 769, 8723, 3114, 6547, 267, 519, 13540, 540, 1142, 11046, 630, 663, 3976, 519, 3961, 540, 519, 3693, 264, 3788, 24240, 269, 25289, 28355, 630, 10177, 3431, 1572, 1793, 8898, 18654, 264, 568, 606, 22803, 7623, 609, 519, 3114, 4542, 6970, 263, 15121, 264, 273, 269, 6496, 22481, 2650, 991, 547, 581, 14023, 730, 286, 10281, 32611, 777, 520, 924, 267, 849, 1572, 18038, 2643, 777, 520, 924, 630, 11190, 1070, 568, 513, 6923, 9648, 7777, 1106, 540, 7513, 3284, 520, 924, 609, 519, 4542, 6970, 476, 276, 630, 17269, 476, 275, 264, 476, 274, 630, 15121, 1070, 855, 621, 568, 2356, 2854, 6970, 476, 1015, 630, 17269, 476, 275, 264, 476, 277, 630, 15121, 264, 476, 273, 547, 20301, 602, 519, 12627, 1770, 1591, 13408, 1079, 9988, 269, 4147, 1518, 891, 7554, 607, 25617, 267, 8701, 32128, 267, 610, 1875, 335, 6897, 32128, 269, 1306, 971, 267, 972, 568, 513, 8552, 585, 8701, 640, 269, 11906, 6125, 589, 3114, 6125, 568, 513, 9434, 16007, 1063, 8444, 267, 12274, 610, 6675, 602, 6087, 519, 5250, 540, 3114, 7135, 269, 630, 1960, 278, 1040, 634, 1570, 593, 713, 3135, 666, 711, 581, 25735, 267, 7856, 267, 10299, 267, 524, 3737, 610, 6382, 1031, 267, 4849, 609, 1991, 2854, 10479, 540, 25092, 269, 476, 272, 8382, 269, 11061, 540, 519, 15689, 630, 273, 526, 3798, 333, 269, 700, 830, 4248, 568, 519, 1455, 2012, 585, 513, 15459, 3070, 540, 7513, 28355, 269, 898, 568, 606, 25617, 7623, 2469, 676, 519, 4214, 910, 2178, 6850, 18878, 4229, 540, 16007, 1063, 9797, 9901, 4496, 12274, 10878, 266, 543, 11874, 9901, 1875, 4496, 606, 687, 27846, 268, 269, 15394, 1875, 335, 6897, 32128, 267, 8701, 32128, 267, 543, 25617, 563, 14937, 11206, 595, 820, 4414, 25906, 2548, 12313, 476, 1708, 271, 267, 670, 335, 476, 1428, 268, 14096, 273, 342, 332, 24897, 1234, 10293, 267, 11788, 25828, 10022, 769, 5124, 267, 1548, 1772, 634, 12019, 652, 13600, 769, 1715, 14948, 267, 674, 8962, 645, 1206, 932, 3581, 267, 17240, 6665, 18264, 772, 3387, 571, 5681, 639, 5678, 267, 30634, 823, 2986, 634, 966, 1355, 2558, 514, 15172, 267, 645, 4777, 15766, 908, 681, 636, 832, 267, 4498, 756, 334, 717, 16244, 645, 8986, 12313, 267, 0, 268, 5741, 4566, 454, 268, 5741, 2238, 454, 268, 18489, 3175, 543, 4441, 454, 268, 12752, 2796, 454, 8310, 12995, 476, 1724, 3967, 476, 1708, 271, 454, 299, 987, 532, 568, 519, 1184, 540, 2870, 561, 23411, 267, 799, 538, 2757, 4070, 616, 6252, 16025, 17446, 22274, 6306, 547, 1106, 519, 25380, 585, 1776, 2679, 5057, 269, 1358, 616, 2356, 562, 9229, 547, 16025, 909, 23412, 269, 634, 2165, 24283, 689, 2048, 680, 2120, 543, 561, 987, 8730, 1141, 519, 561, 23411, 941, 1031, 607, 513, 1489, 585, 6632, 29147, 563, 1103, 19744, 2777, 20761, 267, 530, 4490, 630, 553, 538, 2048, 342, 4490, 543, 546, 879, 321, 685, 4070, 264, 16922, 513, 24775, 540, 11308, 17446, 799, 729, 1031, 607, 513, 25380, 585, 519, 546, 879, 321, 1107, 3335, 16095, 29147, 269, 901, 666, 581, 2938, 607, 606, 2038, 1106, 540, 561, 987, 532, 563, 8072, 5522, 2120, 543, 561, 987, 685, 568, 4749, 1336, 538, 519, 4835, 851, 1431, 540, 9677, 1014, 267, 16972, 543, 11977, 1014, 8075, 267, 543, 849, 538, 741, 2781, 559, 902, 269, 15380, 267, 519, 16025, 561, 23411, 616, 1472, 476, 1839, 7825, 2647, 676, 476, 277, 7825, 5394, 267, 543, 616, 17479, 827, 476, 277, 7825, 6306, 547, 1450, 519, 29147, 547, 23309, 883, 519, 10616, 563, 8072, 299, 987, 543, 29147, 685, 729, 1031, 1318, 909, 547, 519, 2038, 476, 736, 628, 2540, 282, 855, 922, 946, 814, 1631, 11207, 21022, 1813, 547, 519, 13258, 540, 3574, 267, 519, 11668, 2877, 543, 519, 942, 2838, 585, 21338, 269, 2859, 11932, 267, 519, 4367, 540, 29147, 4580, 6035, 513, 2656, 267, 1463, 543, 19756, 21338, 547, 801, 338, 267, 7551, 1073, 341, 11868, 519, 991, 585, 561, 987, 532, 563, 299, 987, 532, 2221, 568, 5631, 4496, 267, 16030, 513, 14776, 1790, 520, 1181, 17450, 540, 27647, 2213, 5374, 602, 568, 1572, 9450, 4496, 561, 987, 630, 4932, 299, 1040, 898, 568, 2356, 6378, 609, 804, 719, 18969, 547, 519, 801, 338, 540, 16025, 851, 1431, 865, 602, 519, 1279, 7516, 540, 519, 28608, 2048, 323, 3554, 4637, 685, 2196, 23276, 269, 4438, 21338, 267, 519, 661, 7876, 568, 1500, 607, 512, 2246, 607, 2009, 676, 562, 9430, 1101, 538, 519, 8998, 543, 1287, 15198, 856, 2072, 1354, 21338, 693, 824, 2798, 269, 634, 28608, 14776, 3337, 568, 9833, 607, 1373, 6099, 607, 621, 1655, 25309, 1648, 543, 759, 1235, 22636, 1310, 1373, 8704, 563, 4932, 299, 561, 987, 532, 666, 849, 581, 6378, 547, 6405, 7161, 543, 20398, 547, 1106, 513, 25380, 585, 5007, 11904, 543, 588, 25458, 334, 267, 543, 849, 585, 28372, 909, 1056, 338, 269, 898, 568, 849, 1031, 585, 3774, 15699, 543, 547, 1852, 25305, 538, 15839, 1740, 543, 6405, 563, 13565, 4930, 593, 27588, 29844, 26264, 454, 8722, 25733, 4930, 543, 3377, 454, 19187, 2326, 543, 5826, 666, 948, 2569, 15309, 563, 3674, 519, 4070, 5823, 14775, 547, 7125, 585, 11581, 261, 296, 888, 25811, 619, 2628, 24744, 676, 4687, 741, 8823, 563, 763, 6456, 3902, 540, 5989, 563, 289, 12767, 4456, 16621, 8171, 883, 922, 8490, 7982, 14568, 10872, 563, 3849, 3439, 1674, 6786, 3609, 2242, 593, 930, 2679, 5829, 2152, 563, 5804, 538, 985, 543, 18006, 8075, 547, 536, 719, 2294, 563, 20776, 3272, 8761, 3039, 1983, 7934, 563, 25567, 320, 781, 2804, 12900, 3812, 8464, 540, 623, 23354, 3525, 518, 928, 3785, 563, 763, 2640, 540, 30437, 27960, 543, 9160, 563, 21589, 7217, 991, 585, 1930, 2792, 547, 2232, 2790, 1072, 2152, 269, 0, 2252, 596, 3442, 519, 1318, 835, 267, 519, 1268, 568, 6126, 267, 855, 711, 782, 5079, 616, 1318, 267, 865, 519, 786, 666, 711, 2141, 957, 1318, 269, 5047, 267, 519, 3483, 568, 711, 7357, 17271, 547, 2623, 1317, 621, 568, 14356, 513, 6240, 543, 14356, 513, 3804, 540, 2623, 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 ]
[ 20920, 609, 2055, 4478, 1582, 3125, 267, 10343, 267, 543, 10362, 267, 5373, 4296, 1063, 16750, 3017, 543, 4638, 10066, 563, 289, 269, 2677, 790, 543, 3690, 326, 1833, 281, 1280, 321, 5200, 11146, 543, 21741, 5622, 10426, 687, 454, 272, 269, 15776, 15487, 31510, 5436, 2144, 582, 3821, 4749, 7710, 4798, 540, 28302, 2648, 543, 1098, 326, 4809, 13821, 267, 11319, 6302, 540, 1018, 568, 2808, 13998, 11807, 2623, 563, 273, 269, 6270, 6386, 666, 4196, 607, 23199, 585, 519, 2591, 5185, 676, 1483, 8996, 12790, 2516, 5275, 6284, 543, 15418, 563, 290, 269, 25085, 618, 543, 18650, 281, 1234, 8010, 532, 6611, 543, 5295, 454, 272, 269, 3718, 1369, 713, 24848, 516, 949, 6813, 2178, 267, 4830, 4775, 3197, 945, 5706, 26568, 3889, 543, 28196, 710, 2757, 1379, 6384, 563, 273, 269, 1635, 11093, 2021, 538, 7158, 540, 6392, 543, 1852, 267, 891, 2984, 4161, 30013, 8155, 543, 2709, 4244, 22649, 540, 4008, 5107, 543, 6788, 780, 4353, 269, 16520, 20905, 543, 9828, 692, 288, 269, 2622, 20761, 543, 22014, 1877, 281, 12861, 8056, 619, 633, 23994, 454, 272, 269, 21988, 4589, 5402, 4020, 12667, 10600, 4904, 609, 3638, 3877, 267, 2502, 782, 2947, 12823, 547, 3560, 3988, 883, 14595, 7516, 1141, 4376, 568, 2009, 563, 273, 269, 13229, 946, 540, 5790, 8309, 547, 519, 2949, 7099, 543, 3159, 540, 519, 4062, 267, 7393, 24457, 267, 26675, 267, 543, 11509, 8082, 563, 289, 269, 10886, 4886, 281, 14958, 532, 13216, 15706, 454, 272, 269, 4270, 31465, 23233, 4865, 3982, 9739, 267, 18144, 267, 543, 12583, 267, 3850, 3988, 547, 1106, 3929, 27589, 543, 1902, 538, 741, 15322, 563, 273, 269, 4165, 6782, 2065, 4229, 1058, 10460, 23674, 6937, 1247, 6967, 3818, 8820, 267, 9319, 5786, 626, 28402, 540, 9409, 610, 4731, 823, 563, 290, 269, 18140, 12856, 281, 21344, 11059, 267, 2271, 22715, 267, 543, 18366, 454, 272, 269, 12056, 13602, 3666, 8090, 540, 2962, 543, 10761, 609, 26982, 2678, 10207, 6131, 547, 1915, 1646, 543, 14375, 4276, 563, 273, 269, 4787, 2683, 4589, 2226, 2239, 11610, 998, 7580, 533, 5217, 267, 4180, 602, 9444, 15832, 6862, 16750, 2609, 31083, 20760, 835, 1776, 780, 309, 269, 12634, 19043, 543, 8892, 19648, 692, 288, 269, 14484, 532, 4317, 7827, 281, 18776, 543, 6431, 14571, 454, 272, 269, 10765, 1296, 723, 2938, 2799, 15287, 585, 11806, 266, 2043, 2066, 1585, 2923, 5867, 267, 1519, 3332, 563, 273, 269, 1717, 267, 5571, 7130, 543, 30886, 28173, 4797, 6514, 540, 875, 891, 2984, 616, 5143, 543, 945, 4991, 547, 2995, 873, 563, 289, 269, 5890, 21505, 21222, 976, 281, 28249, 1275, 543, 769, 12807, 454, 272, 269, 1677, 2327, 4977, 6041, 267, 621, 568, 1898, 547, 2015, 519, 2081, 538, 799, 5198, 267, 1362, 267, 2702, 267, 2085, 267, 543, 824, 2188, 12969, 609, 4638, 10066, 543, 4008, 3961, 563, 273, 269, 11559, 6932, 4589, 547, 2263, 3309, 5380, 267, 5807, 513, 811, 8537, 5251, 1369, 1312, 519, 13629, 2872, 543, 6626, 2528, 780, 3528, 4974, 24139, 31510, 5436, 2144, 582, 3821, 998, 513, 2565, 7828, 267, 1053, 2744, 2629, 5813, 883, 519, 1950, 2078, 1063, 3961, 267, 5876, 267, 543, 1514, 1689, 269, 1306, 938, 2486, 5170, 547, 11457, 267, 865, 1932, 1590, 519, 6386, 649, 1711, 1765, 10915, 22162, 16012, 24300, 540, 1582, 3125, 267, 2146, 267, 543, 4187, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17954, 1136, 31875, 281, 18270, 908, 15776, 15487, 20417, 4565, 1794, 619, 538, 519, 30007, 12752, 4002, 5181, 476, 2190, 267, 476, 1708, 274, 676, 14721, 454, 1103, 519, 1158, 540, 9913, 267, 23217, 8840, 7496, 543, 4101, 6848, 8155, 267, 972, 616, 3875, 13009, 4565, 5074, 28245, 945, 2697, 607, 8350, 321, 2103, 269, 1452, 9058, 2021, 723, 711, 1152, 1500, 1713, 7418, 547, 741, 9757, 4610, 267, 855, 789, 723, 849, 21490, 519, 1259, 585, 2104, 5481, 563, 299, 525, 15487, 6041, 538, 519, 9913, 2872, 814, 2097, 513, 1279, 1259, 267, 609, 811, 543, 811, 28245, 16175, 8508, 741, 14920, 543, 1210, 741, 5867, 547, 12167, 585, 11806, 266, 2924, 269, 3414, 741, 13007, 267, 16177, 267, 543, 26772, 13597, 267, 891, 13009, 4565, 1794, 619, 723, 6707, 13934, 26608, 18727, 18765, 543, 695, 13593, 11475, 563, 5804, 14262, 11051, 543, 12372, 547, 9565, 19971, 543, 12696, 267, 8350, 321, 2103, 538, 519, 9913, 2872, 723, 2451, 606, 30170, 1665, 269, 4256, 7418, 723, 711, 1152, 23353, 519, 1148, 543, 2528, 267, 855, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 661, 8527, 3821, 1315, 11806, 266, 1315, 15776, 15487, 1315, 15776, 15487, 3474, 534, 5436, 661, 8527, 3821, 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, 8702, 547, 938, 4241, 3460, 883, 519, 1158, 540, 2029, 543, 922, 1764, 593, 6683, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1945, 1572, 834, 20663, 17496, 257, 543, 875, 621, 12211, 547, 8105, 269, 1809, 1101, 267, 1577, 781, 3636, 909, 609, 513, 2656, 2243, 281, 5620, 596, 2479, 5129, 513, 3381, 3014, 1141, 519, 3197, 5431, 1142, 824, 543, 2746, 1759, 593, 741, 5920, 286, 2334, 781, 513, 2596, 1383, 540, 2780, 5075, 538, 2962, 2439, 3086, 4952, 952, 2371, 1223, 849, 4324, 689, 971, 5863, 2029, 269, 1548, 952, 5904, 1223, 1413, 693, 7031, 267, 2697, 1022, 2152, 789, 1522, 723, 267, 543, 1256, 2303, 3435, 286, 4270, 267, 1250, 2828, 267, 602, 781, 10502, 1018, 8950, 17496, 538, 11982, 568, 782, 827, 256, 2913, 781, 4685, 4514, 883, 713, 13858, 2361, 543, 3605, 875, 621, 666, 948, 721, 1332, 8902, 1426, 1247, 7863, 938, 10475, 4541, 780, 1262, 1432, 568, 8950, 17496, 286, 12533, 10900, 13430, 5331, 2348, 15705, 4064, 602, 2760, 3207, 543, 666, 1294, 3877, 15865, 547, 1480, 8289, 269, 16319, 3579, 267, 1318, 286, 2755, 649, 1810, 1405, 723, 1483, 27568, 2943, 267, 649, 798, 723, 5904, 602, 666, 17932, 891, 5759, 1210, 8950, 17496, 256, 26243, 267, 621, 2636, 5904, 547, 5659, 3308, 1239, 1107, 1175, 899, 3425, 1131, 1107, 676, 16208, 2592, 543, 7044, 269, 4495, 9916, 267, 1346, 6191, 666, 946, 713, 1344, 547, 1685, 1808, 4247, 267, 899, 9301, 3615, 267, 7114, 3270, 267, 10203, 3688, 267, 610, 16326, 2042, 269, 1924, 3079, 540, 513, 1268, 3168, 693, 14143, 540, 4610, 3843, 547, 5544, 6263, 4191, 540, 2030, 3676, 267, 1631, 3532, 12514, 960, 7258, 5904, 547, 6895, 7693, 1072, 11179, 2439, 1262, 1692, 1281, 8950, 17496, 6435, 26478, 286, 12533, 14343, 21387, 293, 1301, 619, 3068, 1082, 2591, 3232, 282, 835, 2101, 4161, 568, 4180, 741, 7031, 2611, 2635, 2429, 1114, 12405, 269, 2060, 8950, 17496, 267, 6705, 2744, 1569, 547, 3407, 4030, 3850, 873, 547, 2232, 1761, 6937, 811, 7561, 982, 13461, 9003, 593, 8261, 24422, 269, 1677, 9414, 267, 4605, 19025, 9280, 609, 2027, 12514, 10760, 936, 5318, 11396, 2921, 5961, 540, 1169, 10759, 540, 2244, 269, 1452, 6337, 616, 1287, 2366, 547, 5904, 8036, 538, 7421, 7693, 2175, 269, 1879, 513, 1966, 1858, 568, 9571, 267, 971, 607, 10860, 22215, 3762, 610, 3668, 540, 1216, 267, 25887, 711, 1518, 6705, 5612, 269, 901, 1259, 267, 789, 666, 3533, 1491, 2962, 267, 9494, 942, 543, 2200, 1247, 2810, 2949, 7607, 2439, 5194, 9735, 3498, 540, 8950, 17496, 568, 3678, 908, 16276, 3157, 269, 5994, 11608, 2324, 2427, 676, 2427, 609, 6705, 267, 5402, 16116, 22691, 5613, 543, 5388, 1510, 14124, 873, 269, 3502, 1152, 1281, 713, 2569, 4074, 3790, 267, 855, 621, 849, 5849, 5812, 2298, 1282, 7556, 4005, 269, 1656, 7058, 1018, 286, 1284, 3513, 4166, 7198, 14628, 8778, 832, 6117, 1472, 3484, 4133, 7900, 1585, 26050, 267, 11461, 676, 8950, 17496, 1949, 2439, 1262, 28406, 532, 3776, 14136, 12533, 10900, 7042, 3719, 7227, 267, 972, 781, 811, 256, 4635, 8950, 17496, 2337, 18359, 2067, 2200, 1932, 269, 1635, 5464, 3037, 7509, 2157, 8308, 267, 6705, 666, 11126, 12555, 16131, 4227, 1216, 3653, 3648, 269, 5015, 267, 2038, 7020, 540, 2030, 10108, 6087, 6098, 5574, 267, 10893, 3114, 6165, 269, 1306, 513, 1267, 267, 7864, 6464, 1439, 909, 3542, 5024, 15780, 2959, 267, 8497, 5117, 3666, 543, 5009, 4264, 6683, 2853, 780, 3383, 267, 1985, 942, 2576, 19528, 8950, 17496, 267, 3314, 602, 621, 781, 1454, 811, 982, 1175, 16681, 10509, 2911, 269, 8625, 609, 4702, 543, 6683, 267, 713, 5499, 1907, 16877, 6705, 5001, 547, 3132, 10731, 3771, 341, 3949, 1247, 17420, 938, 1604, 269, 30474, 15813, 267, 26001, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4131, 779, 1205, 1318, 547, 621, 1317, 972, 779, 513, 2603, 547, 3382, 269, 3487, 476, 274, 8214, 1194, 519, 1883, 2936, 619, 540, 519, 3059, 3961, 1373, 19632, 998, 519, 6669, 7329, 1780, 7964, 267, 13031, 519, 3020, 16786, 269, 3487, 476, 273, 13264, 1524, 519, 945, 267, 1018, 267, 950, 267, 1141, 267, 1946, 267, 543, 875, 269, 898, 779, 1434, 547, 1174, 1018, 779, 693, 7196, 543, 945, 779, 3297, 621, 267, 1354, 11362, 883, 851, 476, 275, 269, 13332, 577, 7134, 786, 3382, 930, 540, 519, 1034, 1271, 3344, 540, 713, 3003, 16786, 1996, 782, 540, 8103, 563, 1607, 7797, 19672, 912, 1892, 634, 30040, 8943, 568, 6168, 2659, 667, 25353, 267, 2659, 5027, 267, 543, 2659, 645, 7495, 312, 454, 1892, 654, 24548, 267, 15303, 334, 267, 6239, 7813, 7913, 4354, 6275, 630, 290, 9720, 290, 1070, 543, 634, 24434, 540, 634, 8892, 454, 1892, 14464, 11106, 543, 4119, 7757, 18972, 454, 1892, 1234, 5115, 5903, 540, 782, 18780, 543, 20871, 595, 2642, 538, 20668, 476, 274, 1299, 476, 275, 454, 1892, 21909, 687, 543, 10298, 454, 1103, 2110, 267, 2899, 596, 723, 11643, 547, 3478, 707, 3059, 3961, 30040, 3009, 267, 596, 723, 8118, 519, 7450, 585, 873, 269, 6056, 540, 621, 899, 31964, 602, 3096, 606, 11995, 2179, 540, 11690, 1231, 547, 1628, 707, 3501, 3135, 269, 1411, 723, 707, 16335, 607, 519, 3926, 267, 519, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 11982, 1315, 4937, 1315, 8950, 17496, 538, 11982, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 515, 517, 543, 519, 29813, 2548, 928, 538, 8303, 269, 2859, 12572, 538, 1106, 982, 538, 1641, 2339, 267, 1010, 960, 1185, 606, 513, 3120, 540, 25386, 15851, 1145, 602, 16487, 519, 21951, 547, 606, 552, 1492, 9418, 7706, 563, 7476, 519, 5767, 4930, 9447, 547, 707, 28600, 14294, 909, 547, 938, 5131, 28315, 5240, 12072, 454, 2419, 822, 2335, 525, 15548, 538, 519, 15713, 540, 519, 2817, 5980, 540, 20963, 3203, 543, 6039, 607, 922, 28579, 267, 1985, 547, 26290, 11726, 928, 5548, 659, 549, 1460, 543, 2961, 8175, 5174, 16279, 2224, 269, 2311, 519, 942, 540, 1010, 2669, 538, 8303, 593, 5239, 476, 2190, 267, 476, 6245, 279, 267, 24839, 10658, 6665, 632, 932, 822, 2335, 525, 729, 2808, 835, 540, 519, 6574, 476, 866, 628, 10601, 3943, 5159, 563, 273, 269, 28199, 645, 7238, 1188, 4802, 454, 29820, 538, 476, 9264, 278, 538, 30239, 267, 16848, 267, 28199, 645, 7238, 1188, 4802, 3459, 1010, 7499, 2866, 1247, 23493, 538, 5125, 267, 10024, 519, 9142, 538, 667, 6686, 338, 572, 671, 21807, 693, 562, 31106, 269, 3571, 7548, 16425, 15695, 1864, 547, 3136, 1010, 2069, 538, 29761, 543, 8303, 543, 8399, 547, 7507, 269, 4495, 538, 7977, 267, 646, 23652, 519, 2025, 18544, 543, 2919, 1010, 3810, 23949, 1339, 1148, 267, 2921, 519, 4936, 24781, 607, 519, 6667, 585, 1010, 1082, 8916, 269, 30027, 3585, 23836, 543, 8909, 267, 891, 1568, 23223, 2406, 28596, 2620, 14264, 3273, 344, 543, 1279, 532, 563, 1103, 476, 6642, 271, 267, 645, 7238, 1188, 4802, 6192, 519, 1101, 4528, 540, 634, 1772, 548, 540, 519, 16458, 269, 10738, 3670, 1296, 267, 646, 1131, 2347, 2947, 7648, 540, 713, 7206, 267, 1631, 2808, 1010, 1034, 9565, 960, 269, 1306, 609, 1082, 540, 1010, 1568, 267, 519, 6429, 779, 2707, 568, 1336, 538, 519, 8106, 1158, 267, 855, 519, 3239, 568, 4625, 14070, 267, 513, 1587, 540, 519, 7376, 779, 9345, 563, 7628, 1010, 1272, 267, 645, 7238, 1188, 4802, 779, 1568, 7494, 6766, 7820, 13507, 626, 5159, 269, 2991, 646, 5747, 538, 476, 5002, 272, 267, 645, 7238, 1188, 4802, 2907, 1185, 513, 1381, 540, 7209, 3297, 1864, 267, 609, 1010, 1568, 1373, 26916, 585, 741, 8471, 1871, 269, 769, 519, 476, 4572, 271, 338, 267, 1010, 7499, 3310, 7153, 1586, 538, 519, 1568, 540, 5080, 9418, 1235, 267, 971, 607, 30571, 18243, 6403, 267, 7665, 21321, 560, 267, 543, 717, 1640, 326, 1470, 632, 932, 597, 4815, 563, 274, 269, 29775, 1511, 2859, 879, 454, 294, 755, 1511, 2859, 879, 729, 4535, 538, 8303, 538, 476, 9264, 279, 267, 1141, 1010, 7499, 4876, 5097, 11200, 539, 269, 2991, 11504, 5049, 693, 24305, 514, 5441, 267, 2859, 879, 1500, 1010, 1101, 7552, 547, 7977, 538, 476, 7277, 272, 543, 26063, 2505, 5034, 519, 4357, 18638, 540, 519, 18048, 31839, 12251, 268, 32723, 323, 537, 731, 20266, 582, 267, 513, 7718, 1807, 540, 1857, 20375, 543, 8303, 1014, 13039, 269, 1452, 2833, 1500, 1864, 513, 5078, 32358, 585, 16075, 547, 519, 27878, 1723, 548, 964, 2142, 14513, 5025, 337, 1206, 538, 8303, 267, 547, 799, 646, 4294, 538, 476, 7277, 277, 269, 1717, 267, 646, 4166, 2451, 538, 476, 7277, 280, 1310, 513, 8959, 3801, 547, 3094, 519, 623, 3700, 632, 7507, 563, 1103, 476, 6942, 277, 267, 950, 2859, 879, 17820, 634, 2561, 541, 819, 693, 519, 8303, 6428, 517, 267, 519, 1857, 543, 13915, 6368, 8118, 741, 4064, 547, 519, 5898, 540, 1010, 960, 269, 11153, 4798, 616, 1455, 538, 2859, 879, 779, 1148, 281, 519, 2956, 540, 9345, 543, 7499, 5137, 267, 607, 1134, 607, 519, 946, 540, 4168, 6698, 543, 5515, 15025, 609, 25384, 2609, 269, 1261, 13269, 3185, 1889, 3170, 1446, 2021, 543, 543, 5766, 2106, 748, 2367, 538, 1899, 609, 1710, 11546, 1606, 328, 11726, 2193, 15312, 563, 1103, 476, 6642, 279, 267, 2859, 879, 729, 11221, 547, 519, 6298, 2946, 332, 773, 964, 2142, 14513, 5025, 337, 1206, 267, 1287, 12912, 7548, 693, 519, 27878, 1723, 548, 964, 2142, 14513, 5025, 337, 1206, 538, 476, 6245, 273, 269, 29775, 1511, 2859, 879, 5747, 538, 8303, 538, 476, 6245, 279, 607, 513, 12021, 18048, 563, 275, 269, 11977, 8738, 928, 11219, 2158, 454, 10955, 1189, 8738, 928, 11219, 2158, 729, 4535, 538, 27257, 538, 476, 8146, 274, 269, 1261, 729, 13473, 693, 1401, 2678, 5441, 267, 10228, 267, 1141, 646, 6594, 18381, 269, 1703, 267, 646, 1558, 5261, 24261, 267, 543, 1079, 1296, 2663, 267, 2348, 4362, 519, 960, 540, 519, 18048, 667, 14397, 28792, 17664, 31899, 267, 519, 1079, 2828, 4682, 547, 2661, 538, 5507, 269, 8738, 928, 11219, 2158, 1185, 4956, 547, 1831, 513, 18048, 267, 543, 24261, 267, 606, 4056, 269, 14171, 1010, 6667, 689, 21434, 3332, 267, 8738, 928, 11219, 2158, 3323, 2324, 593, 15513, 543, 13504, 12400, 543, 1216, 3712, 832, 563, 15152, 519, 5583, 540, 17664, 31899, 267, 8738, 928, 11219, 2158, 8678, 519, 19656, 3125, 540, 519, 2776, 7304, 777, 3873, 601, 2572, 855, 2919, 513, 10058, 2511, 269, 3571, 960, 10489, 2105, 2776, 7304, 777, 3873, 601, 924, 543, 7969, 7506, 538, 513, 11029, 7848, 540, 21434, 1143, 543, 29526, 269, 11408, 3168, 585, 6667, 538, 3332, 267, 14868, 267, 543, 10120, 17691, 267, 8738, 928, 11219, 2158, 4294, 5128, 267, 3226, 547, 18995, 5515, 646, 1419, 4767, 689, 2470, 269, 7412, 543, 1106, 3576, 9551, 775, 936, 2681, 267, 543, 519, 18565, 540, 1010, 666, 341, 1162, 941, 1419, 21352, 539, 267, 3006, 4611, 538, 513, 535, 12184, 5920, 563, 289, 584, 928, 11219, 2158, 2968, 513, 9576, 9142, 540, 8551, 4759, 538, 476, 6642, 276, 855, 759, 11220, 538, 476, 6245, 274, 269, 5565, 1296, 2663, 267, 646, 729, 27585, 539, 676, 10348, 15117, 269, 11109, 1831, 513, 1713, 7376, 540, 1010, 5736, 267, 1634, 2429, 2342, 267, 8738, 928, 11219, 2158, 5747, 538, 5507, 538, 476, 6245, 279, 563, 276, 269, 13095, 15714, 4414, 517, 454, 289, 1068, 8681, 11219, 6756, 4414, 517, 267, 1572, 13095, 15714, 267, 835, 540, 519, 1034, 3312, 13507, 626, 5159, 267, 729, 4535, 593, 4989, 476, 736, 267, 476, 7277, 271, 538, 645, 867, 324, 14513, 269, 1975, 2056, 1034, 540, 1010, 6689, 9678, 538, 6917, 5333, 267, 4414, 517, 2813, 1010, 1101, 12400, 543, 1347, 1723, 1023, 269, 1717, 267, 621, 729, 17216, 1010, 3460, 547, 8303, 543, 7766, 11564, 547, 8303, 1014, 15882, 602, 7479, 12184, 4414, 517, 267, 693, 519, 942, 5722, 1296, 2025, 267, 547, 3442, 513, 4876, 607, 606, 7376, 563, 303, 2720, 5224, 11265, 2090, 15991, 4957, 4414, 517, 779, 4566, 538, 519, 2547, 267, 855, 621, 8329, 547, 519, 1646, 540, 1010, 5578, 693, 5373, 543, 1010, 15400, 3007, 547, 1469, 269, 3245, 476, 6977, 276, 267, 4414, 517, 3576, 5373, 5049, 896, 519, 5583, 540, 12254, 529, 20393, 32020, 514, 267, 945, 3366, 1864, 547, 3605, 519, 1148, 540, 6660, 2280, 267, 4856, 582, 267, 543, 1256, 29775, 1511, 2859, 879, 269, 769, 476, 5908, 274, 267, 4414, 517, 1558, 14339, 565, 15343, 645, 637, 19734, 267, 945, 5189, 1864, 547, 519, 1148, 540, 1820, 14708, 543, 267, 538, 1880, 267, 519, 1696, 4221, 4480, 269, 4414, 517, 6192, 1585, 11549, 4548, 543, 12383, 267, 5097, 540, 21434, 543, 13507, 626, 5931, 267, 1519, 645, 7596, 11253, 790, 779, 18307, 2720, 5918, 5689, 269, 3571, 1100, 597, 15885, 616, 1713, 585, 741, 22192, 543, 2303, 633, 7399, 540, 1395, 29614, 1738, 1568, 563, 5475, 519, 2490, 540, 519, 476, 736, 628, 2540, 543, 20408, 1072, 2042, 267, 4414, 517, 779, 1148, 7960, 607, 646, 3459, 1210, 2312, 543, 6505, 4778, 267, 1167, 8973, 519, 1474, 828, 5396, 540, 1010, 2038, 960, 269, 13095, 15714, 4414, 517, 5747, 538, 8303, 538, 476, 4489, 277, 693, 476, 10602, 267, 6028, 3297, 513, 9645, 1560, 540, 960, 607, 1010, 9371, 269, 634, 715, 629, 529, 1131, 3409, 9562, 540, 713, 9371, 267, 543, 519, 13507, 626, 5159, 1131, 2721, 593, 621, 607, 513, 2707, 563, 277, 269, 26290, 11726, 928, 2961, 686, 27056, 454, 292, 1872, 11726, 928, 2961, 686, 27056, 729, 4535, 538, 717, 712, 333, 599, 1606, 584, 5336, 541, 928, 593, 5130, 476, 1626, 267, 476, 7277, 280, 269, 1261, 13984, 519, 1374, 1153, 538, 5899, 553, 13118, 326, 689, 519, 2085, 540, 24369, 267, 10024, 513, 12776, 2762, 18638, 538, 476, 5908, 275, 269, 2961, 686, 27056, 8057, 909, 538, 5899, 553, 13118, 326, 855, 1131, 979, 547, 8303, 547, 18934, 538, 519, 27878, 1723, 548, 964, 2142, 14513, 5025, 337, 1206, 538, 476, 5908, 280, 269, 769, 8303, 267, 2961, 686, 27056, 2505, 5034, 519, 18638, 540, 519, 4081, 18048, 22354, 516, 16410, 534, 601, 269, 2961, 686, 27056, 779, 2511, 3459, 547, 11457, 538, 519, 476, 6642, 271, 338, 267, 543, 646, 15685, 5128, 689, 519, 4081, 7506, 31827, 689, 1010, 5892, 4607, 2069, 563, 1103, 476, 6245, 271, 267, 646, 15548, 538, 519, 5081, 18863, 2946, 2817, 324, 964, 2142, 14513, 5025, 337, 1206, 6428, 517, 543, 3576, 909, 12776, 2762, 1586, 269, 3245, 1287, 593, 267, 1010, 1568, 941, 6353, 676, 1395, 5255, 4435, 267, 18935, 1242, 1469, 267, 543, 3006, 25302, 2609, 269, 2961, 686, 27056, 15548, 538, 519, 9840, 540, 1010, 942, 267, 3226, 1282, 519, 667, 9445, 325, 639, 10500, 1515, 630, 3602, 646, 521, 3660, 609, 27878, 332, 850, 2098, 7637, 264, 543, 593, 519, 1641, 540, 519, 31414, 540, 2021, 269, 769, 476, 6245, 279, 267, 646, 8118, 513, 18638, 1141, 267, 1851, 824, 5159, 267, 14216, 664, 543, 4223, 23579, 6594, 269, 22206, 1359, 689, 11563, 2860, 267, 2961, 686, 27056, 23384, 6391, 602, 2451, 1864, 1612, 3315, 7458, 543, 8572, 547, 2911, 1282, 519, 2063, 1032, 540, 1010, 1272, 1354, 12955, 538, 8303, 593, 4728, 476, 2767, 267, 476, 5002, 277, 563, 278, 269, 22513, 663, 10609, 333, 641, 742, 454, 293, 1716, 663, 10609, 333, 641, 742, 729, 4535, 538, 13983, 3088, 2102, 682, 345, 31645, 27475, 267, 19934, 267, 538, 476, 6977, 279, 269, 1261, 6594, 693, 519, 20513, 540, 4521, 693, 519, 10713, 527, 2946, 8644, 516, 538, 29761, 267, 855, 1310, 835, 1032, 267, 646, 6410, 547, 519, 2749, 779, 9576, 9142, 540, 20963, 8551, 269, 10609, 333, 641, 742, 13556, 1010, 1101, 13507, 626, 1568, 538, 476, 6642, 273, 267, 6273, 676, 519, 12591, 540, 29775, 1511, 4469, 879, 6975, 563, 1103, 476, 6642, 278, 267, 10609, 333, 641, 742, 6192, 519, 28430, 17855, 540, 1010, 7820, 11078, 267, 12540, 21838, 924, 267, 799, 646, 2141, 6854, 609, 1864, 269, 1306, 513, 4807, 945, 729, 1312, 6986, 543, 10694, 538, 519, 4064, 540, 519, 18048, 267, 1352, 6719, 513, 1826, 540, 21522, 4998, 269, 898, 729, 1352, 7247, 10609, 333, 641, 742, 13269, 1896, 2053, 538, 1010, 20100, 6490, 1559, 267, 13556, 538, 519, 7766, 1032, 269, 1261, 568, 1634, 585, 519, 2571, 512, 4689, 885, 540, 1010, 4778, 602, 2333, 519, 21951, 779, 1995, 540, 19911, 28101, 543, 1033, 16670, 563, 298, 18255, 641, 742, 849, 4951, 1896, 12357, 267, 2144, 5328, 12400, 267, 799, 6039, 267, 1851, 824, 1919, 267, 607, 4395, 7371, 773, 806, 547, 519, 12591, 540, 519, 32068, 13507, 1235, 7638, 3873, 7967, 267, 14339, 523, 22138, 267, 21280, 2946, 874, 514, 623, 2946, 19921, 534, 267, 543, 6182, 2946, 2998, 790, 2274, 20858, 269, 22513, 663, 10609, 333, 641, 742, 267, 519, 968, 335, 664, 614, 540, 6806, 4064, 2223, 5747, 538, 29761, 593, 5437, 476, 1321, 267, 476, 4572, 272, 267, 606, 1898, 11347, 540, 519, 13507, 626, 3350, 563, 279, 269, 3967, 1677, 528, 641, 454, 297, 2129, 2335, 525, 774, 2946, 31121, 1677, 528, 641, 267, 1634, 607, 3967, 1677, 528, 641, 267, 729, 4535, 538, 10084, 267, 12868, 267, 538, 476, 6977, 279, 269, 769, 476, 5908, 274, 267, 519, 1677, 528, 641, 1920, 6410, 547, 519, 6532, 540, 7813, 320, 538, 7013, 5681, 21358, 269, 16270, 13059, 547, 519, 13814, 538, 476, 5908, 280, 267, 3967, 1677, 528, 641, 13984, 6281, 3506, 538, 2274, 16582, 543, 12736, 1562, 342, 6359, 330, 269, 769, 476, 6642, 272, 267, 646, 4797, 1010, 2069, 693, 519, 9142, 540, 24545, 1354, 3001, 547, 29761, 538, 476, 6642, 273, 267, 1141, 646, 19801, 538, 519, 9142, 540, 5463, 20753, 8551, 563, 2414, 528, 641, 849, 1500, 1896, 15143, 547, 4789, 267, 1141, 646, 4362, 519, 1568, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 1413, 547, 670, 2207, 1318, 269, 1684, 519, 1739, 2238, 476, 278, 547, 476, 1015, 2053, 513, 1554, 563, 4692, 12475, 545, 3326, 529, 723, 1279, 2165, 2360, 888, 306, 7815, 16379, 1696, 620, 273, 1336, 602, 476, 866, 269, 272, 260, 540, 513, 20165, 540, 476, 6924, 1453, 609, 22787, 12475, 545, 3326, 529, 941, 693, 1981, 585, 11095, 11558, 2042, 543, 16607, 14407, 5179, 1983, 950, 519, 1453, 941, 476, 280, 269, 277, 1296, 2025, 267, 1256, 1498, 789, 1185, 1044, 5701, 585, 12475, 545, 3326, 529, 1282, 519, 1101, 1032, 540, 1272, 610, 3476, 563, 3674, 621, 3339, 585, 513, 4816, 547, 1832, 741, 2212, 547, 835, 2427, 888, 1607, 2783, 568, 1459, 689, 4332, 269, 1403, 707, 4816, 8952, 21266, 1154, 741, 2212, 547, 835, 2427, 267, 789, 949, 723, 28822, 2089, 601, 6363, 324, 559, 15540, 799, 568, 519, 1267, 540, 513, 12760, 540, 1079, 610, 811, 17818, 630, 928, 1188, 264, 31175, 269, 5753, 609, 28822, 2089, 601, 6363, 324, 559, 6794, 949, 723, 513, 2110, 267, 3376, 8405, 267, 1970, 4552, 1467, 543, 1360, 11658, 8405, 3350, 563, 1692, 1454, 1281, 513, 22623, 658, 24743, 1942, 888, 13900, 332, 1115, 547, 1521, 24609, 539, 15693, 338, 2039, 538, 3902, 689, 1269, 272, 267, 4968, 547, 1269, 274, 267, 1822, 267, 543, 3237, 616, 5143, 547, 1118, 2386, 12256, 5957, 873, 1472, 519, 9219, 563, 3674, 476, 279, 3275, 1932, 3735, 585, 24743, 888, 289, 28320, 5219, 585, 31238, 693, 513, 2663, 2085, 630, 324, 3052, 1421, 1310, 476, 279, 3275, 1070, 610, 1310, 2990, 2242, 543, 2168, 3797, 1705, 711, 948, 666, 1869, 1205, 31238, 269, 1717, 267, 789, 949, 723, 547, 5957, 873, 585, 513, 3476, 942, 982, 952, 789, 1185, 3323, 693, 513, 7820, 2085, 563, 2691, 1281, 4816, 2212, 3337, 1831, 8628, 888, 2005, 666, 1491, 476, 280, 268, 1240, 3275, 1354, 513, 4816, 779, 15693, 568, 4628, 4646, 269, 4438, 713, 942, 930, 9002, 1020, 2990, 531, 12735, 1470, 576, 874, 3315, 269, 901, 1797, 602, 972, 568, 513, 6366, 1858, 593, 519, 1394, 610, 2427, 540, 519, 2212, 269, 19024, 531, 12735, 1470, 576, 874, 3315, 1281, 711, 1860, 2634, 2208, 610, 1646, 282, 621, 568, 17033, 513, 3337, 3390, 563, 2691, 666, 596, 2995, 952, 513, 4816, 814, 19548, 25097, 344, 888, 763, 4191, 540, 19548, 25097, 344, 2356, 2408, 538, 519, 1101, 1906, 3275, 540, 1272, 267, 855, 1082, 1453, 616, 711, 8995, 2394, 2085, 476, 273, 610, 2663, 269, 769, 2489, 267, 2038, 4191, 540, 19548, 25097, 344, 1331, 272, 267, 273, 281, 25833, 17799, 269, 634, 1126, 568, 3500, 547, 3914, 19325, 971, 607, 12902, 936, 267, 9361, 267, 17875, 1782, 267, 543, 6972, 563, 1432, 616, 4191, 540, 19548, 25097, 344, 538, 9002, 888, 290, 699, 13887, 25097, 344, 2589, 538, 20854, 454, 268, 2806, 7538, 14302, 563, 268, 595, 3863, 1782, 538, 513, 561, 3591, 3660, 6073, 563, 268, 30975, 609, 5386, 5179, 1983, 971, 607, 4189, 267, 17678, 4522, 267, 610, 7801, 563, 268, 24651, 2530, 610, 21901, 563, 268, 14929, 4771, 593, 741, 19704, 950, 3843, 547, 3802, 563, 268, 769, 1464, 547, 1796, 563, 268, 1133, 19055, 762, 4887, 3350, 563, 268, 590, 1723, 7627, 1472, 593, 741, 12765, 4169, 563, 1432, 1281, 19548, 25097, 344, 1413, 899, 538, 12256, 888, 335, 3233, 4887, 3159, 538, 513, 4816, 779, 17873, 267, 4611, 538, 5230, 610, 1166, 641, 6853, 7916, 543, 7953, 269, 20765, 538, 513, 4816, 779, 10549, 610, 6091, 267, 610, 29252, 3350, 538, 513, 4816, 779, 7916, 610, 7953, 269, 7411, 25640, 1560, 5322, 267, 1519, 30230, 4771, 543, 804, 6260, 269, 513, 8488, 538, 5870, 19325, 267, 971, 607, 12902, 936, 267, 17875, 1782, 267, 543, 6972, 563, 4692, 12475, 545, 3326, 529, 2014, 1565, 9124, 888, 6624, 3029, 540, 22787, 12475, 545, 3326, 529, 616, 1928, 1652, 267, 855, 2014, 9645, 2042, 609, 519, 1126, 779, 2702, 547, 1020, 1697, 1688, 31378, 11558, 269, 1403, 519, 12475, 545, 3326, 529, 5540, 519, 1646, 540, 519, 15693, 267, 621, 949, 1256, 2014, 1565, 9124, 563, 4692, 12475, 545, 3326, 529, 1860, 6186, 3350, 888, 5719, 920, 1078, 4656, 540, 519, 6186, 543, 1688, 593, 519, 2427, 6587, 540, 519, 9395, 4887, 269, 28206, 1078, 610, 3908, 8825, 6114, 1282, 513, 2530, 540, 3666, 547, 519, 9395, 2427, 269, 16842, 14694, 4827, 542, 630, 2017, 1386, 14302, 547, 835, 2427, 264, 540, 519, 1560, 593, 519, 9395, 4887, 2427, 269, 28206, 1078, 3308, 9477, 630, 5674, 324, 3350, 264, 547, 519, 9395, 2427, 563, 4692, 12475, 545, 3326, 529, 1860, 24948, 888, 18933, 9994, 532, 2042, 941, 7646, 538, 519, 838, 553, 7116, 545, 12475, 545, 3326, 529, 543, 519, 522, 668, 663, 24212, 543, 561, 31099, 30484, 8205, 2516, 543, 1152, 1079, 2550, 1185, 3446, 476, 273, 7988, 874, 698, 807, 269, 0, 10267, 651, 4591, 334, 568, 513, 4759, 540, 519, 7909, 545, 7936, 540, 30017, 334, 6261, 565, 2106, 14198, 4654, 269, 898, 568, 9275, 676, 827, 476, 1015, 267, 8517, 1004, 693, 519, 7532, 1439, 540, 13244, 1772, 8475, 6816, 538, 1772, 8475, 19435, 540, 519, 21125, 11866, 267, 3226, 1472, 519, 631, 2130, 324, 18848, 3019, 593, 519, 5087, 5032, 543, 538, 519, 670, 690, 3757, 334, 3148, 593, 519, 5045, 5032, 563, 763, 1893, 568, 849, 1634, 607, 4258, 651, 19248, 1002, 328, 267, 631, 2130, 324, 610, 25795, 385, 489, 324, 267, 589, 262, 4673, 267, 4591, 334, 610, 918, 889, 517, 15856, 269, 1703, 616, 1079, 22463, 281, 631, 2130, 324, 543, 670, 690, 3757, 334, 269, 898, 568, 2854, 609, 5824, 9904, 267, 543, 972, 568, 930, 2854, 1570, 538, 519, 1893, 267, 1519, 513, 8675, 267, 8239, 543, 16627, 540, 3909, 1568, 563, 12606, 606, 9904, 5750, 585, 4258, 651, 4591, 334, 630, 2750, 4897, 994, 13126, 281, 6426, 19835, 3118, 454, 22033, 827, 4258, 651, 4591, 334, 1923, 10606, 1923, 18975, 540, 645, 8475, 454, 22033, 827, 4258, 651, 4591, 334, 454, 3849, 345, 5028, 267, 13259, 3711, 267, 3331, 482, 12685, 5622, 267, 589, 928, 640, 636, 267, 7442, 2742, 267, 19966, 7288, 267, 3657, 267, 21844, 508, 490, 6701, 422, 508, 490, 732, 267, 11313, 288, 340, 3559, 11867, 267, 2997, 6072, 267, 645, 7637, 267, 8262, 715, 3518, 553, 267, 645, 7795, 583, 340, 267, 645, 342, 4660, 24499, 267, 6970, 659, 267, 4258, 651, 4591, 334, 267, 667, 10594, 267, 13850, 926, 267, 670, 21105, 7763, 340, 267, 670, 12685, 267, 918, 752, 629, 2967, 267, 20855, 514, 340, 11445, 267, 918, 758, 7974, 267, 918, 913, 267, 918, 4669, 328, 267, 32765, 4673, 685, 2801, 267, 2274, 327, 8932, 267, 22255, 752, 601, 267, 10197, 334, 267, 700, 1774, 267, 10753, 6874, 7541, 267, 700, 7238, 344, 7238, 335, 267, 16549, 651, 569, 5886, 267, 4223, 334, 267, 631, 1511, 320, 267, 7763, 340, 267, 631, 342, 582, 331, 777, 267, 715, 2378, 338, 534, 267, 21601, 752, 3120, 267, 3026, 557, 8072, 324, 328, 267, 8550, 591, 267, 3345, 661, 325, 622, 267, 14529, 1868, 324, 267, 681, 15676, 267, 15585, 3861, 267, 681, 990, 10005, 267, 15223, 267, 590, 752, 7776, 267, 6428, 756, 320, 267, 590, 3511, 267, 590, 1470, 267, 28024, 267, 23111, 14781, 267, 570, 9564, 267, 570, 580, 752, 267, 570, 4275, 343, 267, 24729, 2967, 267, 29974, 597, 267, 21051, 515, 548, 267, 966, 15856, 267, 966, 584, 25612, 338, 267, 5375, 674, 6359, 1014, 267, 962, 629, 655, 267, 962, 777, 3150, 454, 299, 16722, 2854, 609, 519, 5824, 9904, 454, 17273, 2813, 281, 476, 3066, 269, 1321, 269, 2420, 269, 7831, 9168, 281, 476, 3066, 269, 1321, 269, 2420, 454, 3963, 711, 2671, 713, 2985, 912, 9596, 4654, 585, 1863, 593, 13660, 565, 22857, 454, 2252, 596, 899, 713, 3135, 543, 1265, 621, 3730, 267, 596, 666, 1489, 621, 676, 1818, 513, 21856, 3842, 9796, 21595, 610, 4793, 516, 517, 267, 610, 676, 7700, 538, 824, 2081, 269, 15345, 333, 580, 14309, 568, 875, 594, 1118, 1250, 2713, 563, 9616, 281, 782, 6402, 593, 713, 3135, 547, 8835, 2593, 267, 8835, 16691, 16896, 543, 8835, 8807, 337, 616, 24988, 6402, 269, 901, 1797, 594, 7118, 513, 10243, 952, 596, 4945, 593, 1022, 540, 873, 543, 4444, 1945, 269, 1924, 676, 14467, 593, 891, 6402, 596, 666, 948, 547, 1489, 713, 3135, 269, 0, 12663, 713, 581, 519, 1412, 24465, 2540, 262, 286, 9050, 1883, 2055, 454, 26171, 2551, 547, 1020, 693, 513, 7415, 10605, 267, 855, 621, 568, 711, 2693, 547, 20546, 3127, 781, 2551, 585, 1082, 5756, 269, 3127, 568, 519, 1158, 781, 4102, 3388, 543, 568, 711, 2693, 547, 581, 20546, 539, 676, 3624, 585, 1082, 5756, 563, 1103, 3127, 267, 1034, 1004, 798, 711, 723, 519, 2883, 1797, 547, 581, 32014, 910, 2324, 855, 1510, 513, 2990, 563, 1607, 568, 513, 4137, 540, 971, 9588, 602, 621, 786, 979, 1524, 538, 1686, 563, 6097, 547, 519, 1034, 2487, 772, 12991, 269, 9193, 267, 3127, 786, 20546, 22163, 3624, 538, 2551, 4166, 267, 8757, 476, 272, 269, 275, 2764, 5479, 269, 3127, 786, 1831, 519, 1158, 781, 1034, 29245, 4182, 607, 3624, 781, 2551, 23229, 269, 3127, 781, 3169, 4266, 540, 1140, 8724, 713, 11984, 786, 4096, 593, 519, 1259, 596, 1293, 269, 1403, 596, 1331, 15173, 15158, 883, 3624, 781, 2338, 267, 621, 1223, 4755, 1985, 1032, 269, 3127, 786, 711, 581, 20546, 539, 538, 2474, 540, 2450, 676, 1022, 824, 2197, 585, 1082, 5553, 269, 634, 1158, 781, 7887, 9111, 568, 1100, 3476, 519, 1158, 781, 7887, 4376, 269, 3624, 814, 1031, 922, 2450, 547, 3310, 519, 1158, 811, 982, 824, 6082, 538, 519, 2063, 5108, 269, 4024, 3127, 581, 2111, 547, 798, 519, 1482, 538, 519, 1985, 5108, 888, 4692, 3127, 1118, 519, 1034, 540, 922, 2450, 888, 19328, 781, 2208, 2557, 568, 26195, 1221, 676, 2477, 971, 607, 3624, 269, 1717, 267, 519, 15295, 2104, 9775, 689, 3148, 547, 3148, 269, 3127, 543, 3624, 1031, 547, 2119, 547, 3500, 1524, 519, 2551, 2208, 676, 4227, 24570, 269, 901, 5736, 568, 1279, 8854, 269, 3127, 781, 15295, 7455, 568, 513, 9543, 835, 267, 799, 2306, 621, 1413, 26195, 4192, 585, 1082, 824, 2919, 2477, 602, 616, 6385, 30333, 269, 12075, 616, 2713, 3476, 543, 519, 1297, 4535, 1169, 1032, 814, 18923, 4957, 269, 3127, 267, 7429, 3624, 267, 568, 711, 6849, 2804, 543, 1514, 2042, 1813, 547, 519, 2360, 540, 519, 5756, 17489, 835, 30512, 3609, 269, 3127, 814, 513, 3395, 543, 1762, 13781, 267, 1247, 3624, 568, 1178, 3539, 543, 24931, 269, 769, 930, 4525, 540, 3127, 267, 519, 2551, 5170, 547, 1332, 1932, 3533, 585, 741, 11615, 269, 901, 2164, 538, 513, 21045, 540, 1762, 267, 2111, 1532, 617, 1221, 1004, 3379, 547, 2139, 6009, 269, 769, 930, 2694, 540, 3127, 267, 519, 2551, 568, 2907, 693, 922, 8445, 269, 901, 568, 2523, 3020, 538, 519, 5045, 1141, 2021, 616, 811, 13473, 543, 1920, 4058, 3292, 616, 3811, 269, 769, 891, 2127, 267, 1762, 15185, 10355, 723, 811, 982, 1079, 3214, 269, 3127, 781, 1604, 568, 896, 4049, 8833, 1813, 547, 519, 2168, 7569, 540, 3592, 513, 5479, 7146, 268, 1695, 2788, 1004, 269, 1306, 3127, 14380, 856, 540, 519, 27811, 2157, 540, 6710, 267, 519, 1340, 1149, 616, 1100, 3476, 513, 3463, 269, 4706, 2104, 607, 519, 4102, 13781, 538, 519, 1158, 568, 3056, 547, 930, 4126, 602, 606, 834, 24465, 11416, 257, 786, 581, 4535, 563, 3674, 3127, 26405, 547, 28231, 513, 834, 12047, 4919, 26318, 257, 888, 288, 6385, 9750, 1762, 13781, 666, 581, 606, 4316, 610, 513, 9568, 269, 3127, 568, 513, 4182, 602, 568, 4712, 547, 960, 269, 3683, 1079, 22188, 630, 6858, 8472, 540, 12075, 616, 9907, 1063, 476, 1428, 543, 476, 6795, 269, 898, 568, 7415, 875, 1970, 519, 5223, 540, 2324, 21943, 4079, 547, 1453, 543, 19622, 1004, 538, 3127, 568, 269, 901, 4316, 568, 711, 1510, 922, 2591, 269, 901, 834, 12047, 4919, 26318, 2580, 2705, 267, 1223, 849, 2490, 883, 513, 9568, 269, 3127, 18923, 1196, 3022, 856, 3624, 538, 2487, 1296, 547, 1831, 519, 16595, 21212, 1804, 4346, 269, 898, 814, 711, 9450, 3533, 2614, 547, 1711, 6101, 7694, 585, 782, 269, 1677, 1832, 909, 267, 519, 2197, 2115, 547, 1711, 476, 280, 2929, 6009, 829, 1032, 269, 634, 5993, 2110 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 2190, 543, 476, 5655, 260, 540, 1346, 9907, 476, 1839, 547, 476, 4097, 267, 3379, 547, 1152, 476, 2764, 260, 540, 2043, 9907, 476, 4649, 547, 476, 5038, 543, 513, 6071, 476, 2420, 260, 540, 17013, 936, 519, 2085, 540, 476, 4792, 563, 288, 2229, 21553, 12723, 3970, 593, 519, 4616, 540, 5779, 543, 10683, 2472, 11338, 10150, 3648, 6793, 1489, 1851, 7820, 982, 4587, 5481, 630, 6246, 260, 540, 476, 1240, 268, 547, 476, 2190, 4458, 29419, 1996, 476, 1839, 260, 540, 1004, 936, 519, 2085, 540, 476, 4792, 1070, 607, 1705, 513, 3648, 2362, 4492, 3454, 563, 763, 4587, 2551, 3622, 4951, 811, 1489, 610, 3160, 1489, 585, 2229, 3646, 971, 607, 4227, 11183, 267, 9544, 4054, 267, 7598, 513, 7928, 1922, 569, 518, 3454, 267, 543, 30191, 1648, 18026, 5321, 563, 763, 5619, 7000, 602, 2085, 1705, 711, 1404, 513, 1713, 1909, 538, 2157, 540, 5855, 827, 519, 2916, 6433, 543, 922, 1761, 5222, 269, 3683, 476, 3583, 260, 540, 782, 2085, 2516, 267, 8151, 689, 476, 1240, 268, 2190, 547, 1346, 936, 476, 4792, 267, 4080, 1373, 2901, 1360, 610, 26815, 7255, 563, 7197, 1004, 538, 1169, 2085, 1895, 267, 8151, 689, 476, 5038, 260, 547, 476, 7761, 9077, 5156, 602, 1480, 2534, 568, 4929, 2242, 538, 519, 1158, 779, 2916, 269, 1717, 267, 1346, 1063, 519, 6502, 540, 476, 1240, 547, 476, 2190, 941, 5594, 811, 20916, 547, 2161, 602, 519, 3123, 616, 711, 1644, 547, 1480, 3527, 563, 7343, 6918, 2954, 476, 6246, 260, 540, 2043, 1063, 519, 6502, 540, 476, 1240, 543, 476, 2190, 2429, 519, 11782, 6829, 6161, 602, 519, 1699, 2804, 1533, 1223, 17225, 741, 2702, 547, 4734, 741, 1920, 779, 7622, 269, 2986, 1346, 23500, 267, 476, 6321, 260, 5156, 621, 1223, 2061, 873, 689, 11449, 513, 1753, 543, 476, 4343, 260, 5156, 621, 1223, 1764, 741, 3375, 547, 723, 1453, 563, 763, 5619, 7000, 602, 17417, 267, 7488, 540, 741, 2085, 610, 2197, 540, 5169, 267, 941, 811, 20916, 547, 3494, 602, 519, 9167, 1058, 581, 3743, 585, 8159, 875, 547, 2232, 519, 2916, 6433, 593, 15773, 540, 922, 4759, 2829, 2864, 982, 1367, 2477, 1818, 4830, 3664, 563, 10144, 689, 7977, 267, 8050, 267, 543, 6628, 941, 811, 20916, 547, 1118, 2242, 547, 741, 6197, 538, 1931, 547, 8396, 519, 2916, 6433, 269, 1717, 267, 16586, 267, 513, 10116, 540, 7247, 798, 711, 3494, 602, 2518, 8337, 568, 3361, 676, 3425, 267, 941, 519, 2547, 2693, 547, 798, 865, 563, 763, 1034, 1455, 6197, 12381, 2066, 782, 2085, 2516, 941, 519, 5634, 3283, 269, 17006, 3039, 2044, 547, 741, 2713, 2230, 1185, 519, 5207, 1377, 540, 13170, 267, 609, 476, 8064, 260, 540, 3703, 2043, 543, 476, 5780, 260, 540, 16586, 17548, 602, 789, 2901, 2907, 1705, 865, 610, 941, 1930, 547, 3257, 865, 563, 7343, 6918, 2954, 476, 5780, 260, 540, 5171, 8612, 513, 18515, 547, 8532, 12119, 5388, 543, 5613, 267, 1247, 14874, 782, 5779, 543, 10683, 2472, 729, 519, 2547, 23163, 27327, 269, 32228, 2103, 941, 1336, 547, 581, 519, 1034, 8348, 267, 609, 476, 2767, 260, 17548, 789, 1131, 1118, 713, 1689, 563, 6624, 17417, 941, 7334, 827, 4758, 909, 6117, 269, 589, 5354, 540, 3943, 267, 7969, 267, 543, 4436, 4961, 6829, 741, 22371, 547, 9003, 13461, 593, 6972, 267, 31610, 267, 610, 1857, 6283, 269, 1717, 267, 513, 4130, 6871, 540, 3703, 267, 16528, 267, 543, 20636, 2043, 3838, 519, 1482, 18941, 269, 0, 529, 513, 7097, 532, 1893, 5189, 538, 476, 1960, 276, 547, 948, 1118, 1357, 3817, 454, 5793, 5562, 269, 1879, 2870, 513, 1357, 2985, 267, 596, 2356, 946, 1614, 1114, 454, 23855, 3098, 269, 634, 14103, 2985, 2488, 519, 2497, 543, 519, 1357, 1543, 563, 332, 1389, 519, 1543, 7317, 543, 6422, 563, 732, 7817, 20933, 1665, 1575, 543, 5752, 4654, 267, 14648, 676, 519, 454, 321, 4900, 518, 2864, 982, 538, 519, 1394, 15134, 593, 519, 1357, 13763, 269, 1358, 5749, 1406, 454, 4818, 6150, 899, 824, 5752, 4654, 267, 855, 2864, 267, 519, 11422, 454, 13678, 2952, 6487, 875, 547, 4612, 873, 269, 0, 8450, 532, 707, 22525, 1332, 543, 1020, 568, 513, 14785, 7045, 4904, 609, 1883, 19325, 563, 763, 5920, 540, 707, 1126, 781, 1101, 4522, 543, 519, 1646, 540, 2635, 14779, 616, 2565, 3344, 540, 741, 1646, 563, 2171, 3513, 1413, 693, 519, 1883, 19325, 538, 22525, 5959, 1646, 543, 2709, 5796, 593, 875, 547, 1832, 707, 1126, 781, 4522, 543, 14779, 538, 1434, 3337, 563, 763, 2619, 547, 2635, 4522, 543, 14779, 5956, 693, 513, 1762, 2085, 269, 1855, 1891, 1419, 5956, 1063, 519, 6502, 540, 3670, 3275, 543, 835, 1032, 563, 763, 21286, 5920, 540, 1346, 1101, 1507, 4522, 666, 581, 1312, 3078, 607, 1134, 607, 4101, 563, 15430, 6326, 13245, 29726, 543, 717, 4548, 454, 2414, 2327, 707, 1126, 781, 4522, 543, 14779, 616, 2635, 267, 1376, 609, 513, 5694, 7888, 2732, 602, 2882, 5613, 267, 5388, 267, 543, 10683, 2472, 1247, 10893, 24494, 16152, 543, 10425, 563, 24375, 2038, 609, 5711, 9882, 676, 17678, 6932, 4522, 28663, 609, 513, 2571, 1532, 2077, 1194, 28750, 543, 513, 16434, 3787, 540, 21973, 26025, 563, 30144, 29726, 543, 717, 4548, 543, 8617, 5959, 20499, 267, 4098, 609, 741, 1101, 14512, 267, 5351, 538, 5464, 741, 5959, 1646, 563, 25594, 547, 11168, 5140, 5711, 1416, 607, 707, 22525, 10301, 2629, 19325, 267, 971, 607, 2348, 513, 2407, 1305, 540, 1292, 4522, 563, 4322, 6208, 2482, 519, 24536, 585, 513, 10715, 540, 2635, 1159, 3796, 543, 2949, 1134, 5630, 563, 294, 4548, 543, 13245, 29726, 281, 634, 7216, 13012, 540, 1855, 1891, 454, 5938, 1891, 568, 606, 3078, 2943, 4101, 942, 602, 2356, 4386, 1472, 519, 4098, 540, 3670, 3275, 585, 707, 4819, 563, 7628, 713, 1974, 540, 942, 267, 596, 1522, 7747, 741, 1101, 4816, 4522, 2097, 856, 267, 4098, 609, 519, 2539, 3844, 1651, 30583, 543, 3356, 532, 547, 519, 2362, 3283, 563, 296, 337, 761, 1464, 267, 1527, 2224, 5323, 565, 532, 267, 543, 606, 7920, 20882, 547, 25261, 593, 1919, 616, 1455, 751, 1891, 4191, 543, 2589, 563, 17809, 728, 751, 5930, 2269, 9749, 610, 9900, 18552, 741, 14779, 609, 513, 2973, 9416, 547, 8897, 741, 9636, 543, 585, 2635, 4522, 543, 14779, 563, 1607, 2038, 3942, 540, 751, 1891, 6920, 519, 12614, 540, 707, 1126, 781, 4806, 540, 513, 2635, 1305, 540, 3119, 4522, 267, 607, 1134, 607, 519, 13766, 540, 5711, 1416, 538, 741, 2208, 563, 10267, 9405, 10341, 1299, 13245, 29726, 543, 717, 4548, 585, 2659, 23862, 454, 763, 1646, 540, 21400, 5759, 568, 606, 1271, 24182, 538, 707, 22525, 781, 5711, 30553, 563, 19931, 4816, 21400, 16853, 3747, 5265, 13988, 4522, 543, 2635, 14779, 269, 1635, 519, 942, 707, 1126, 568, 513, 22525, 267, 646, 610, 1352, 11129, 547, 723, 513, 1305, 540, 3119, 4522, 602, 2636, 873, 547, 9108, 25261, 1082, 1114, 5686, 540, 1426, 560, 32332, 563, 303, 847, 6005, 891, 5759, 7512, 12536, 543, 5849, 602, 707, 1126, 4991, 6190, 5567, 689, 519, 1426, 789, 8532, 563, 10267, 9405, 10123, 20674, 609, 10409, 2208, 267, 543, 1134, 31465, 4522, 3565, 547, 6793, 267, 811, 24808, 6340, 607, 707, 22525, 9428, 543, 7710, 563, 25332, 6326, 707, 4819, 1020, 543, 3914, 1271, 5959, 19325, 568, 606, 8622, 8540, 540, 741, 2208, 543, 1134, 5630, 563, 9336, 3942, 12523, 538, 7863, 519, 2783, 540, 741, 28182, 267, 689, 519, 1101, 2370, 1651, 529, 528, 547, 606, 3003, 4737, 540, 3119, 4522, 563, 22826, 1434, 5711, 9882, 6208, 693, 513, 1762, 2085, 267, 5009, 513, 5694, 7888, 2732, 267, 543, 20319, 2834, 11290, 11564, 782, 1711, 519, 24536, 585, 513, 10715, 540, 2635, 4522, 543, 14779, 563, 2026, 707, 1126, 781, 4522, 1332, 909, 267, 865, 786, 741, 2702, 547, 3717, 543, 25261, 267, 5355, 741, 2489, 2298, 540, 1272, 563, 2005, 781, 711, 1175, 827, 4522, 282, 621, 781, 827, 9591, 2635, 1159, 3796, 602, 786, 22036, 513, 10715, 269, 1924, 267, 5660, 891, 1713, 8090, 267, 11168, 5959, 1416, 267, 543, 4585, 707, 1126, 781, 12837, 19542, 29116, 269, 0, 9199, 6373, 568, 513, 2352, 543, 1950, 1995, 602, 666, 4734, 721, 4743, 12758, 543, 16397, 269, 6787, 621, 781, 519, 1267, 540, 513, 2582, 2680, 610, 513, 3126, 540, 5571, 2833, 267, 519, 1764, 540, 8194, 666, 581, 7096, 543, 1279, 18835, 269, 769, 519, 21987, 267, 621, 666, 581, 2182, 547, 917, 875, 547, 1847, 4464, 543, 1265, 513, 2631, 540, 4708, 543, 7067, 269, 769, 713, 5816, 2022, 267, 649, 3513, 2263, 930, 2994, 585, 1565, 875, 547, 1847, 4464, 1310, 8194, 267, 1519, 519, 2956, 540, 1582, 13282, 267, 5275, 1489, 689, 6068, 3283, 543, 4648, 267, 543, 4466, 2635, 2081, 547, 1184, 543, 11883, 609, 519, 4664, 602, 666, 8451, 269, 6787, 596, 2811, 4867, 7231, 609, 8194, 610, 3274, 1616, 547, 1451, 811, 827, 875, 547, 1489, 2576, 945, 568, 267, 649, 4126, 713, 2022, 786, 2709, 930, 5363, 4030, 543, 19015, 2059, 519, 1259, 563, 8139, 519, 7186, 540, 23247, 454, 9199, 6373, 666, 723, 513, 1713, 1764, 593, 606, 1367, 781, 1272, 267, 4929, 10373, 3929, 1928, 543, 5626, 11605, 269, 634, 2360, 540, 8194, 666, 2063, 585, 1296, 267, 8915, 532, 538, 1585, 2081, 971, 607, 4160, 267, 4965, 267, 543, 2022, 32034, 2566, 4524, 630, 303, 15056, 1040, 1717, 267, 621, 568, 1271, 547, 4063, 602, 6051, 689, 8194, 568, 2009, 609, 519, 1318, 1489, 543, 2200, 269, 1703, 616, 1585, 2553, 547, 29379, 707, 1272, 267, 971, 607, 5275, 3318, 13508, 610, 3797, 267, 8026, 11009, 543, 9066, 267, 543, 11836, 1489, 2516, 269, 898, 568, 2629, 547, 4225, 707, 2790, 1072, 543, 1491, 519, 2556, 3268, 547, 12115, 689, 519, 8194, 596, 723, 4810, 269, 5457, 267, 7067, 689, 8194, 568, 513, 3460, 267, 855, 621, 568, 513, 3460, 4502, 2921, 585, 519, 4324, 540, 707, 1134, 5630, 563, 2005, 666, 1267, 689, 513, 2582, 2680, 267, 899, 513, 2067, 9568, 610, 2168, 14213, 267, 610, 689, 5571, 2833, 267, 971, 607, 6057, 610, 10714, 269, 23247, 666, 723, 513, 9434, 1764, 593, 513, 1268, 781, 2790, 543, 2168, 1072, 269, 898, 568, 1271, 547, 5431, 602, 8194, 5540, 2043, 8335, 543, 519, 7067, 1184, 666, 581, 513, 1950, 3460, 269, 1306, 1543, 2344, 619, 267, 649, 723, 513, 5539, 547, 1935, 8194, 609, 6568, 543, 1416, 269, 1635, 3246, 2200, 543, 1489, 585, 1346, 945, 723, 4810, 8194, 267, 649, 666, 4217, 873, 538, 4466, 519, 948, 789, 991, 547, 11883, 543, 12115, 269, 6787, 621, 781, 998, 2790, 1072, 2533, 267, 1489, 2516, 610, 1582, 25298, 2200, 267, 972, 616, 1585, 2409, 540, 5466, 8194, 269, 898, 568, 1271, 547, 3314, 602, 6051, 568, 513, 1184, 543, 621, 3217, 942, 543, 11428, 547, 1847, 4464, 1310, 7680, 8194, 269, 2060, 519, 1318, 1489, 543, 2200, 267, 2043, 666, 1451, 547, 4383, 741, 8194, 543, 960, 2509, 513, 17321, 2104, 563, 12234, 267, 8194, 666, 849, 581, 4448, 547, 2168, 1072, 2042, 971, 607, 4887, 8082, 267, 5312, 1928, 267, 543, 14331, 269, 898, 568, 1271, 547, 3314, 602, 3025, 781, 1995, 540, 8194, 568, 1114, 543, 621, 666, 723, 513, 1713, 1764, 593, 606, 1367, 781, 2790, 267, 2168, 267, 543, 3929, 1134, 5630, 269, 16418, 532, 3318, 948, 585, 15779, 2589, 568, 1898, 585, 1312, 2110, 3856, 8323, 543, 1279, 3856, 6051, 563, 28403, 1944, 2659, 18461, 902, 15907, 23247, 454, 9199, 6373, 666, 4734, 2043, 4743, 16397, 543, 30890, 689, 2933, 267, 855, 14344, 519, 3929, 24187, 568, 2629, 538, 4358, 519, 7067, 1184, 269, 16418, 532, 3318, 948, 568, 835, 1259, 547, 2232, 8194, 543, 1451, 2553, 547, 29379, 707, 1272, 269, 589, 13309, 666, 948, 1711, 513, 2922, 2230, 585, 596, 547, 2263, 707, 4606, 543, 960, 998, 11213, 8823, 269, 3958, 267, 8026, 1582, 13282, 2238, 267, 971, 607, 27733, 5751, 610, 11009, 267, 666, 849, 5351, 538, 7067, 269, 5457, 602, 6051, 568, 513, 3460, 267, 543, 621, 781, 15502, 547, 1491, 1919, 835, 1900, 693, 513, 942, 269, 2060, 9639, 267, 1582, 16327, 6842, 267, 543, 1489, 267, 621, 781, 2009, 547, 7753, 519, 2360, 540, 8194, 543, 1291, 513, 16180, 1272, 563, 2005, 781, 1271, 547, 11760, 4606, 540, 16203, 267, 17847, 267, 543, 10845, 602, 949, 8451, 1739, 513, 15779, 2680, 269, 23247, 666, 723, 513, 7096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14886, 1222, 568, 513, 4909, 2460, 540, 1480, 1272, 543, 568, 7184, 12082, 538, 938, 3909, 5389, 267, 3226, 1369, 8567, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 519, 13400, 13210, 540, 11505, 267, 922, 1909, 538, 5289, 2208, 267, 543, 4052, 2994, 585, 14237, 2178, 17052, 1759, 593, 4168, 2418, 269, 1284, 786, 849, 4983, 1455, 2591, 5185, 538, 2413, 17052, 543, 875, 23075, 3091, 5583, 543, 7326, 585, 10188, 891, 2152, 780, 296, 269, 19739, 13993, 13965, 674, 5495, 301, 6395, 16739, 5508, 674, 6020, 2894, 9169, 295, 7709, 692, 763, 6426, 6799, 1585, 3631, 540, 11505, 2429, 922, 3817, 269, 3245, 6424, 543, 22189, 781, 26315, 531, 6125, 630, 272, 15656, 476, 1240, 264, 547, 4906, 543, 1010, 20785, 262, 15982, 31776, 630, 11990, 476, 1428, 1070, 891, 3347, 1683, 3407, 4030, 883, 1018, 13054, 9758, 4168, 11505, 269, 6239, 4798, 6932, 689, 13400, 6589, 540, 11505, 1331, 14017, 267, 3972, 267, 8994, 1489, 267, 543, 9384, 4716, 2648, 269, 1452, 7907, 616, 30833, 538, 1160, 18690, 476, 1704, 281, 1704, 267, 799, 2829, 267, 834, 288, 3659, 14560, 693, 782, 2053, 267, 543, 513, 7015, 568, 4535, 585, 14488, 3010, 2862, 269, 674, 6020, 2894, 9169, 295, 7709, 6789, 589, 9501, 7644, 3951, 308, 3201, 20591, 5746, 12195, 12114, 692, 22146, 2278, 543, 10584, 28741, 715, 537, 30591, 733, 1742, 602, 3020, 11505, 3340, 18532, 942, 5092, 543, 13438, 1765, 18485, 1898, 3334, 540, 5289, 5250, 269, 1635, 8026, 22371, 543, 11413, 609, 11967, 2828, 267, 2043, 1711, 3255, 585, 12477, 267, 19015, 267, 543, 11755, 995, 20559, 618, 269, 1306, 10271, 4497, 538, 8076, 17052, 267, 789, 6536, 5289, 15657, 543, 2721, 6251, 547, 2696, 780, 7656, 269, 31031, 2969, 9680, 22494, 11123, 645, 308, 6579, 291, 5058, 6730, 10790, 2562, 14011, 2562, 5058, 8863, 305, 3041, 2316, 3198, 674, 6020, 2894, 9169, 26980, 4916, 5442, 9215, 31165, 24202, 20796, 17162, 692, 1103, 4207, 2486, 267, 2679, 2620, 4296, 9624, 11112, 16131, 543, 3059, 19240, 13514, 1713, 2591, 269, 1717, 267, 7598, 1896, 1883, 2853, 666, 948, 20741, 4829, 995, 17052, 16135, 538, 5132, 269, 2368, 10372, 1331, 1384, 265, 26875, 1944, 3068, 3562, 19904, 4205, 8164, 2009, 282, 26068, 2792, 4249, 513, 2629, 1909, 538, 3384, 6568, 543, 5807, 3929, 25055, 563, 265, 28552, 3742, 6947, 1983, 1282, 7391, 267, 11744, 1416, 543, 1719, 538, 1866, 262, 2833, 543, 5380, 563, 265, 12056, 538, 3838, 2238, 602, 3895, 2078, 20671, 267, 971, 607, 1895, 6426, 1353, 267, 3028, 3785, 267, 610, 16351, 856, 902, 563, 265, 17553, 11735, 6131, 942, 12353, 610, 10865, 585, 8220, 609, 2673, 2828, 267, 4180, 5812, 3346, 5103, 646, 8157, 19824, 780, 4353, 269, 25265, 2177, 8863, 17920, 2894, 294, 2464, 5442, 26827, 30204, 674, 6020, 2894, 9169, 26980, 4916, 6730, 19739, 13993, 13965, 19419, 303, 2177, 306, 2464, 692, 32382, 7526, 267, 5883, 6788, 267, 543, 4509, 6302, 616, 1175, 930, 540, 519, 9465, 11402, 538, 2413, 17052, 269, 18641, 267, 23075, 2488, 5583, 585, 5466, 891, 4145, 1247, 8497, 9322, 543, 2463, 1851, 9905, 269, 1280, 1383, 1384, 265, 18601, 14375, 22195, 281, 15623, 476, 1240, 281, 1428, 268, 1704, 1443, 2478, 16042, 30925, 1208, 29087, 267, 5275, 6571, 27352, 1354, 5473, 3606, 6105, 563, 265, 21344, 1367, 2115, 8957, 7104, 4690, 281, 8895, 520, 2103, 476, 277, 281, 273, 11414, 21071, 547, 4163, 835, 1776, 781, 24675, 267, 20515, 519, 2956, 540, 1582, 16531, 543, 14207, 1369, 17052, 563, 265, 26787, 2635, 7182, 281, 1160, 18690, 476, 2767, 281, 1015, 29808, 1996, 5248, 908, 13951, 267, 2943, 26342, 519, 13766, 540, 4259, 3617, 6302, 547, 2149, 2790, 267, 3929, 267, 543, 5289, 8171, 780, 309, 269, 12164, 12710, 4785, 12778, 692, 2026, 23576, 676, 13400, 10752, 543, 4207, 1382, 267, 17052, 1404, 513, 2565, 1909, 538, 5935, 938, 1915, 267, 5885, 938, 5289, 15322, 267, 543, 23429, 938, 2949, 2298, 540, 1272, 269, 1635, 8508, 2441, 19721, 3741, 543, 22867, 547, 2834, 2259, 267, 2852, 1053, 666, 1106, 9434, 7554, 6353, 676, 2648, 267, 3972, 267, 543, 8994, 1196, 2305, 269, 11086, 267, 10115, 538, 11972, 17052, 2636, 721, 547, 1995, 4514, 4276, 267, 6043, 267, 543, 7772, 2059, 938, 10092, 4724, 4168, 2713, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 274, 267, 5881, 275, 476, 272, 267, 28796, 476, 280, 7597, 30641, 454, 303, 1137, 476, 27038, 8525, 2450, 476, 31256, 269, 4037, 1535, 476, 2568, 277, 533, 1206, 5729, 476, 1001, 271, 454, 1015, 5254, 16810, 2839, 8946, 5058, 306, 2910, 308, 12195, 2464, 11298, 9215, 631, 8577, 24505, 5990, 7644, 23781, 9569, 17239, 296, 4916, 3220, 269, 23718, 5576, 1652, 5424, 1677, 667, 2044, 330, 543, 10197, 267, 945, 1118, 1312, 519, 454, 272, 267, 3374, 278, 476, 6858, 275, 476, 3445, 278, 30641, 3367, 811, 454, 15812, 7566, 519, 11846, 25944, 16373, 543, 519, 1158, 540, 7328, 16937, 538, 1079, 1292, 2081, 281, 538, 519, 6725, 540, 5026, 454, 272, 267, 4817, 273, 476, 272, 267, 4375, 274, 476, 278, 11586, 3367, 811, 454, 19465, 11565, 538, 6355, 267, 15348, 267, 17716, 267, 543, 5020, 7917, 595, 269, 21125, 22513, 18372, 4469, 2803, 744, 311, 293, 16704, 6167, 4353, 8991, 14510, 11553, 2464, 454, 5952, 278, 476, 18458, 476, 272, 11586, 3367, 811, 454, 31648, 22903, 4037, 276, 311, 318, 21975, 6958, 332, 269, 336, 343, 335, 476, 280, 270, 279, 270, 6187, 476, 273, 281, 2641, 6751, 8525, 476, 272, 901, 2985, 568, 17543, 2451, 10145, 476, 31648, 22903, 4037, 276, 311, 318, 21975, 6958, 332, 269, 336, 343, 335, 454, 272, 267, 280, 2190, 476, 279, 1015, 476, 1911, 273, 30641, 3367, 811, 454, 12812, 1299, 14168, 8437, 518, 9751, 585, 17268, 19257, 3554, 29425, 5174, 629, 710, 879, 16071, 676, 5345, 534, 28137, 8437, 1299, 14168, 11682, 5588, 302, 15760, 808, 302, 3198, 26914, 3201, 308, 454, 279, 4037, 476, 9610, 476, 276, 11586, 3367, 811, 454, 12812, 2731, 30390, 256, 6723, 2605, 6471, 814, 2944, 621, 256, 8437, 9985, 1201, 29707, 519, 1523, 540, 13033, 865, 602, 596, 666, 1628, 6209, 267, 9058, 267, 543, 1360, 3638, 3347, 538, 1312, 707, 2123, 543, 3318, 2729, 269, 2443, 306, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 12188, 4721, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12389, 1315, 7731, 1299, 17716, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 19676, 17786, 6853, 6164, 338, 910, 589, 1715, 13571, 1512, 538, 595, 820, 5463, 528, 908, 692, 296, 269, 4985, 692, 290, 820, 7718, 908, 814, 12926, 16941, 2390, 2326, 971, 607, 23816, 656, 543, 10733, 13594, 267, 799, 1247, 11617, 13267, 543, 544, 4150, 762, 267, 1459, 2591, 1813, 547, 741, 7411, 547, 6023, 543, 1761, 6492, 19363, 269, 21298, 267, 972, 814, 1044, 513, 6521, 2509, 6220, 4244, 2326, 538, 14735, 1374, 267, 3056, 547, 2799, 1719, 538, 9001, 23349, 2609, 899, 7573, 5743, 6853, 13000, 269, 901, 3184, 7710, 519, 5499, 946, 540, 7573, 5743, 6853, 13000, 607, 513, 3119, 5057, 538, 14735, 23732, 267, 6313, 922, 5383, 267, 2553, 267, 543, 7499, 7399, 780, 2862, 269, 22436, 540, 4635, 19676, 17786, 6853, 6164, 338, 538, 595, 820, 5463, 2610, 692, 288, 269, 7956, 675, 454, 763, 7915, 2571, 1145, 543, 8112, 540, 7573, 5743, 6853, 13000, 1118, 873, 3810, 22537, 585, 5935, 883, 5551, 3029, 3379, 547, 14461, 6878, 971, 607, 23816, 656, 610, 10733, 13594, 269, 3958, 267, 789, 2709, 513, 17175, 4334, 538, 5023, 10623, 601, 950, 19610, 1996, 16437, 518, 14735, 6106, 780, 289, 269, 570, 4292, 454, 19284, 6671, 9781, 2326, 1419, 22309, 585, 3668, 331, 13831, 10366, 267, 7573, 5743, 6853, 13000, 4865, 513, 24080, 2442, 6492, 9043, 6353, 676, 513, 29511, 344, 16538, 1958, 2084, 513, 979, 4141, 344, 9703, 29689, 609, 22153, 332, 718, 3298, 262, 10058, 29284, 269, 30855, 713, 16023, 6087, 536, 5474, 547, 4739, 17580, 19799, 906, 602, 3986, 2949, 2283, 3645, 18399, 780, 7656, 269, 9978, 13088, 543, 23123, 22490, 692, 6524, 25054, 593, 2870, 7573, 5743, 6853, 1521, 23598, 267, 16565, 1808, 2645, 543, 5820, 5849, 1967, 269, 1452, 1331, 1384, 272, 269, 19676, 23611, 630, 2181, 2536, 2406, 25858, 539, 7573, 994, 273, 269, 15794, 332, 718, 3298, 630, 32355, 840, 13402, 22153, 332, 9994, 1212, 1889, 610, 632, 24554, 539, 22153, 332, 718, 3298, 994, 274, 269, 19643, 610, 10448, 2110, 2287, 454, 275, 269, 1975, 520, 10358, 543, 11544, 26633, 454, 276, 269, 25732, 11680, 543, 838, 9398, 454, 277, 269, 17029, 1782, 8930, 610, 18437, 16945, 13613, 585, 1796, 3575, 619, 454, 278, 269, 6348, 22496, 11256, 9212, 610, 533, 1105, 618, 1957, 454, 279, 269, 5395, 3603, 31009, 543, 23805, 454, 280, 269, 5253, 7801, 15074, 630, 28436, 994, 1015, 269, 6987, 337, 644, 619, 267, 2759, 1562, 267, 543, 824, 3337, 268, 14127, 2645, 692, 4353, 269, 26386, 540, 1744, 12686, 543, 631, 13783, 19676, 17786, 6853, 6164, 338, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 305, 823, 5743, 6853, 13000, 723, 1279, 1044, 513, 5172, 1521, 585, 1453, 543, 4079, 7567, 267, 609, 741, 5743, 6853, 9403, 543, 6653, 22153, 332, 9994, 8137, 269, 1809, 1018, 952, 891, 11537, 16152, 1223, 581, 9927, 883, 10875, 14735, 23598, 286, 8080, 547, 519, 1158, 540, 14735, 7718, 908, 7573, 5743, 6853, 13000, 267, 1141, 5876, 6487, 1100, 23451, 563, 1103, 713, 2376, 267, 649, 786, 5490, 883, 519, 1148, 540, 1210, 7573, 5743, 6853, 13000, 547, 1711, 4190, 543, 6946, 14735, 23598, 269, 3245, 2596, 14735, 547, 13827, 547, 4359, 9380, 532, 2553, 267, 596, 3580, 3605, 875, 11684, 543, 2189, 7573, 5743, 6853, 13000, 666, 581, 607, 513, 5420, 585, 14735, 7718, 908, 563, 3963, 616, 7573, 5743, 6853, 13000, 519, 3501, 3903, 585, 14735, 7718, 908, 286, 1280, 26784, 267, 741, 2571, 543, 726, 4192, 9403, 2636, 585, 2653, 5935, 543, 27724, 269, 9521, 2757, 23816, 656, 610, 10733, 13594, 267, 799, 666, 581, 2352, 547, 960, 609, 267, 7573, 5743, 6853, 13000, 666, 581, 3362, 26203, 883, 1585, 5546, 543, 6272, 269, 2060, 930, 1898, 2645, 543, 5820, 538, 707, 19070, 531, 267, 596, 3580, 581, 1134, 593, 707, 1259, 547, 1525, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 20043, 1299, 2598, 1127, 1315, 595, 1389, 1315, 674, 1180, 656, 21290, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 11628, 24542, 543, 6513, 7010, 585, 7844, 21805, 338, 692, 1103, 713, 3184, 267, 649, 786, 5490, 883, 519, 14960, 540, 5122, 11443, 543, 8060, 585, 2203, 16456, 532, 269, 901, 1702, 568, 1898, 585, 2870, 10853, 543, 12347, 5665, 29282, 269, 1284, 3513, 2263, 1585, 3334, 267, 971, 607, 2981, 619, 267, 1379, 7727, 267, 543, 5547, 2736, 619, 267, 2059, 609, 4359, 1852, 1949, 899, 3059, 4971, 1852, 630, 291, 6717, 264, 543, 2780, 17103, 269, 3958, 267, 649, 786, 1865, 3106, 3800, 950, 2324, 609, 5201, 780, 1015, 269, 272, 17992, 619, 543, 5295, 4675, 15533, 454, 9558, 845, 619, 543, 1379, 7727, 1404, 513, 2565, 1909, 538, 12419, 2922, 543, 5812, 6453, 2157, 547, 707, 2203, 5721, 1062, 269, 1635, 4227, 519, 19670, 8028 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2994, 666, 948, 2087, 2589, 543, 5512, 2043, 547, 2661, 3742, 2729, 1384, 265, 2349, 9554, 2866, 281, 28552, 5751, 602, 7794, 519, 23856, 6989, 6091, 2337, 1489, 519, 15485, 1732, 267, 4227, 519, 4960, 540, 10913, 269, 918, 1122, 601, 5751, 616, 4583, 585, 13389, 1346, 1808, 6091, 269, 8347, 16069, 707, 6908, 540, 10729, 1985, 942, 596, 946, 519, 19880, 282, 3257, 713, 14578, 666, 948, 2697, 543, 5721, 1346, 2629, 6091, 563, 265, 2480, 1117, 27968, 19880, 11564, 281, 24613, 547, 519, 19880, 693, 1305, 11996, 2429, 519, 1554, 666, 2061, 14849, 2115, 547, 2712, 3729, 676, 5329, 519, 15485, 8900, 1034, 540, 519, 942, 269, 3683, 942, 267, 596, 666, 7930, 8831, 519, 8653, 1063, 1142, 3643, 563, 265, 29079, 6981, 14842, 281, 16424, 5714, 4616, 543, 9319, 14185, 3990, 10425, 267, 4568, 267, 5841, 6653, 22211, 267, 543, 25970, 3536, 666, 2569, 15485, 16698, 543, 7413, 519, 1297, 540, 10913, 563, 265, 13379, 2359, 281, 18227, 513, 2635, 2597, 6971, 4430, 8833, 593, 519, 15485, 543, 10607, 2949, 8171, 563, 265, 5709, 725, 543, 3457, 281, 31173, 3782, 4648, 827, 11311, 6527, 610, 1210, 16887, 2966, 2645, 899, 533, 612, 2456, 630, 26625, 677, 633, 3457, 5116, 3330, 519, 29199, 264, 666, 1683, 3606, 8323, 780, 1103, 3932, 267, 1620, 543, 5883, 17256, 538, 11666, 775, 3322, 9301, 922, 3123, 267, 7114, 2500, 12003, 6127, 267, 543, 5275, 3318, 5583, 8164, 2556, 269, 5457, 267, 1247, 30892, 949, 3100, 18447, 1631, 267, 6616, 602, 9118, 1866, 3068, 2147, 2591, 666, 1711, 513, 2631, 540, 17604, 269, 5047, 267, 7598, 2241, 6197, 12381, 543, 3635, 13467, 666, 3648, 13468, 9636, 543, 3986, 2298, 540, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21589, 2435, 538, 11666, 775, 630, 21397, 264, 568, 865, 10355, 5941, 602, 596, 949, 1745, 899, 596, 2461, 519, 1152, 835, 7231, 609, 621, 269, 634, 5168, 568, 972, 616, 811, 1287, 476, 1704, 2929, 1004, 538, 519, 2136, 2276, 602, 723, 20825, 540, 15485, 1852, 2152, 3232, 269, 634, 7194, 616, 3750, 19945, 2287, 1107, 621, 568, 513, 1713, 1072, 1966, 538, 519, 2136, 2276, 543, 5001, 543, 814, 513, 8101, 2804, 543, 1514, 1764, 593, 1004, 543, 938, 2486, 563, 27908, 687, 540, 2021, 630, 663, 2367, 264, 1995, 16662, 30102, 2530, 540, 10729, 1572, 17256, 538, 11666, 775, 630, 1492, 32246, 24694, 540, 10729, 264, 630, 21397, 1040, 634, 10335, 540, 17256, 538, 11666, 775, 9832, 689, 12212, 682, 1136, 10729, 950, 596, 11522, 610, 14229, 324, 2763, 547, 2348, 606, 20882, 547, 2712, 3729, 602, 779, 865, 6727, 543, 2178, 596, 1810, 1406, 1205, 547, 513, 16003, 538, 942, 269, 1280, 930, 2021, 267, 519, 1981, 540, 1857, 19849, 14536, 8952, 873, 689, 11981, 1082, 2238, 609, 741, 1920, 543, 2828, 269, 7984, 710, 2530, 666, 849, 2049, 1282, 4638, 2534, 543, 2014, 16854, 3929, 11605, 563, 29590, 538, 11666, 775, 949, 4755, 950, 972, 568, 18222, 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, 15168, 12278, 338, 1315, 7984, 2435, 769, 11666, 775, 630, 21397, 264, 5004, 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, 2760, 2219, 1250, 2648, 540, 26095, 1131, 1291, 803, 1524, 971, 513, 24858, 2619, 267, 855, 1934, 649, 616, 269, 2913, 803, 2491, 780, 296, 4312, 2141, 1044, 13730, 827, 2189, 543, 13395, 12348, 1107, 4986, 2306, 803, 18668, 982, 4466, 1945, 21372, 602, 31168, 7772, 538, 1250, 1272, 269, 1656, 7911, 267, 1705, 594, 10880, 4154, 950, 594, 4362, 29586, 1148, 16388, 531, 20612, 2504, 269, 898, 5916, 1250, 1079, 14560, 281, 13167, 543, 6940, 256, 1924, 267, 594, 4956, 547, 2490, 1250, 6612, 883, 513, 1870, 543, 3323, 9513, 1250, 13144, 2228, 780, 19968, 729, 1630, 4040, 267, 543, 4166, 594, 7948, 1405, 1832, 909, 609, 3747, 1210, 1175, 1250, 1378, 1079, 3946, 269, 2334, 781, 1141, 1919, 3576, 606, 6397, 2490, 269, 1677, 2743, 519, 3395, 7569, 540, 1250, 5561, 1247, 1869, 4509, 2298, 1852, 267, 594, 16539, 538, 513, 1533, 6361, 7308, 19603, 18343, 8868, 269, 901, 14952, 540, 2413, 4702, 1223, 3132, 4190, 7729, 1231, 540, 20612, 693, 17500, 3432, 3379, 547, 1018, 594, 1185, 1044, 3257, 16924, 269, 3733, 6455, 6607, 13702, 9643, 282, 6126, 2395, 941, 6619, 2439, 3719, 1287, 3357, 519, 10792, 4641, 2638, 269, 1306, 9753, 6854, 26311, 538, 267, 594, 1336, 8885, 7836, 1447, 942, 3297, 519, 11537, 18343, 8868, 543, 811, 942, 5883, 18083, 267, 6725, 3646, 267, 543, 6075, 3028, 269, 26243, 267, 594, 2968, 513, 9614, 13327, 4370, 1250, 2899, 1532, 601, 3437, 4305, 1373, 5340, 676, 513, 3684, 269, 12984, 333, 1405, 2029, 9277, 547, 1863, 721, 909, 286, 5502, 267, 594, 5433, 16290, 676, 922, 4398, 780, 2005, 7012, 1405, 1279, 1354, 1776, 4161, 4843, 3294, 269, 9603, 547, 2799, 6735, 630, 628, 3471, 267, 4950, 1070, 1256, 5488, 543, 14949, 2409, 540, 6721, 2527, 9424, 540, 1970, 7779, 20612, 7153, 269, 11426, 619, 945, 7620, 15874, 1250, 22111, 3007, 547, 1469, 3459, 1166, 12177, 2509, 891, 2539, 5777, 1510, 16734, 789, 14894, 539, 2298, 2059, 519, 1259, 780, 1103, 9759, 267, 519, 1360, 3364, 602, 5280, 4412, 601, 1250, 1967, 1765, 23855, 1670, 13120, 1765, 13195, 849, 7700, 547, 519, 1821, 2728, 566, 540, 1250, 1587, 543, 11319, 1866, 1369, 1250, 2872, 856, 540, 960, 269, 3245, 713, 1995, 267, 594, 6591, 3407, 4030, 1384, 272, 269, 1703, 5963, 5749, 1405, 2614, 6009, 585, 3025, 15042, 267, 2523, 1346, 5473, 8261, 4074, 267, 7064, 547, 12957, 563, 273, 269, 1284, 1590, 7683, 3082, 938, 1983, 547, 2611, 4143, 9624, 4028, 6639, 1689, 563, 274, 269, 27986, 543, 5009, 519, 1871, 540, 1164, 7779, 2472, 568, 2629, 538, 7303, 2344, 25294, 676, 10464, 8925, 780, 4407, 594, 3136, 547, 6330, 998, 891, 2591, 267, 835, 3364, 3788, 2312, 910, 1250, 2648, 585, 2870, 4190, 20612, 18387, 1405, 530, 534, 539, 269, 1403, 4376, 267, 621, 814, 6738, 6793, 607, 594, 11441, 547, 2226, 13597, 543, 8699, 1369, 1250, 4739, 1996, 519, 2479, 21608, 5251, 540, 2029, 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, 2108, 304, 281, 7197, 1004, 1616, 547, 960, 267, 855, 538, 2221, 781, 2262, 2073, 527, 568, 811, 2352, 547, 1265, 960, 585, 16764, 7868, 9297, 540, 519, 1158, 991, 547, 1332, 676, 476, 275, 260, 1142, 1032, 1175, 547, 1832, 519, 2025, 1297, 540, 6009, 585, 1004, 269, 10705, 713, 568, 711, 2009, 25467, 865, 811, 1004, 616, 856, 540, 960, 269, 2368, 1004, 723, 1100, 6009, 1631, 1317, 1007, 6191, 666, 798, 519, 960, 540, 1082, 1004, 798, 538, 513, 2110, 942, 269, 9827, 267, 6191, 798, 711, 2307, 585, 811, 2724, 543, 3476, 14812, 269, 769, 782, 519, 2477, 540, 519, 1158, 267, 6191, 616, 2921, 960, 689, 1004, 2073, 2254, 1152, 538, 15327, 855, 849, 593, 519, 11396, 269, 2290, 3684, 666, 1419, 798, 519, 960, 540, 17288, 1004, 269, 6168, 476, 4037, 267, 1822, 1004, 616, 3001, 547, 519, 4872, 513, 1554, 547, 1413, 585, 6009, 2073, 8117, 1152, 476, 3583, 260, 540, 873, 666, 1265, 6009, 1547, 1547, 5804, 519, 8574, 267, 649, 917, 567, 9041, 476, 1547, 589, 264, 621, 781, 711, 2009, 585, 16764, 547, 1265, 960, 269, 645, 264, 26682, 666, 1152, 1491, 960, 689, 1004, 538, 15327, 269, 595, 264, 769, 519, 2104, 2073, 972, 786, 581, 2614, 6009, 585, 16764, 667, 264, 26682, 786, 798, 519, 960, 3079, 540, 1004, 454, 288, 912, 5804, 519, 8574, 267, 649, 917, 602, 589, 264, 621, 781, 711, 1502, 7441, 10640, 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, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 3848, 476, 1321, 281, 15536, 9798, 538, 17073, 5004, 692, 5331, 602, 596, 616, 4730, 707, 5172, 3381, 3014, 950, 10393, 621, 13515, 2324, 256, 1411, 2119, 3388, 910, 7432, 1055, 543, 593, 707, 3926, 267, 10992, 707, 4950, 4276, 267, 1256, 6998, 707, 2828, 585, 948, 269, 1809, 4986, 4667, 547, 960, 269, 898, 7140, 856, 602, 972, 729, 513, 6880, 4323, 593, 519, 11080, 2754, 781, 13763, 267, 799, 3361, 782, 922, 3756, 547, 979, 22356, 269, 901, 2186, 540, 3510, 666, 4755, 538, 1483, 1272, 1932, 267, 2523, 1282, 18002, 899, 2067, 12469, 610, 1857, 1072, 16839, 269, 2334, 781, 1946, 649, 991, 547, 1451, 827, 14590, 538, 6595, 2359, 780, 1432, 1281, 14590, 1611, 286, 15439, 2322, 267, 621, 1797, 7863, 938, 5904, 267, 5121, 267, 543, 1239, 689, 18977, 1569, 610, 3441, 269, 3807, 899, 875, 649, 9376, 938, 9885, 547, 1832, 11371, 644, 619, 856, 267, 649, 946, 18538, 267, 3595, 31486, 267, 543, 824, 2645, 547, 5150, 938, 3059, 1344, 269, 1717, 267, 3006, 3983, 11051, 1265, 2081, 547, 2736, 883, 891, 1949, 543, 2014, 2800, 269, 901, 568, 1141, 14590, 2501, 538, 780, 3086, 267, 1018, 798, 649, 1611, 676, 6595, 2359, 286, 5994, 513, 2462, 13091, 16125, 707, 2749, 269, 1703, 786, 581, 1082, 2042, 602, 1004, 786, 723, 547, 4308, 609, 267, 971, 607, 8697, 5656, 267, 13676, 1004, 267, 543, 7745, 2792, 3515, 269, 17073, 9946, 616, 8036, 4648, 945, 1544, 543, 11282, 6114, 547, 971, 2621, 547, 2327, 3025, 13978, 2922, 543, 4991, 519, 948, 789, 991, 269, 2290, 1271, 2460, 540, 713, 2816, 568, 1210, 2029, 547, 5968, 267, 5531, 1344, 267, 543, 4383, 2200, 3927, 780, 4913, 267, 1175, 899, 1022, 824, 1062, 267, 891, 4066, 666, 581, 7925, 547, 6880, 6285, 269, 1280, 1383, 267, 21190, 1223, 7519, 6595, 25887, 267, 21102, 6213, 1239, 267, 610, 3262, 7301, 1344, 269, 1452, 3527, 1223, 1291, 547, 10539, 267, 11784, 267, 543, 1256, 811, 2800, 1282, 2907, 2352, 2053, 269, 4475, 267, 621, 568, 2629, 547, 2149, 891, 1949, 543, 2259, 1434, 6880, 9882, 780, 2080, 616, 930, 4388, 547, 3251, 2922, 2228, 543, 2061, 6880, 6285, 1384, 265, 2422, 2178, 267, 2189, 18538, 585, 1142, 2272, 269, 6333, 1210, 513, 10957, 9614, 547, 3314, 873, 782, 563, 265, 2037, 762, 3818, 29969, 17452, 8164, 2009, 563, 265, 5901, 707, 3301, 909, 547, 4266, 269, 12305, 3354, 15649, 16425, 563, 265, 2142, 18762, 540, 19035, 15737, 267, 6835, 267, 543, 7270, 269, 5213, 1405, 4945, 593, 7164, 6402, 610, 4647, 14542, 27589, 563, 265, 7982, 1575, 707, 6119, 5781, 269, 15188, 12215, 538, 1114, 6753, 267, 1312, 12725, 543, 6531, 2861, 563, 265, 3447, 622, 3054, 543, 1866, 827, 1455, 1085, 4461, 543, 6937, 269, 13773, 5483, 827, 1007, 16426, 543, 1655, 2853, 780, 3528, 1739, 891, 3268, 267, 596, 666, 2569, 519, 1981, 540, 9991, 6408, 547, 6880, 13062, 1307, 543, 948, 2226, 519, 8699, 540, 2565, 5989, 269, 1306, 2104, 3401, 267, 3744, 267, 8030, 267, 543, 4961, 267, 1620, 543, 5009, 14590, 3741, 568, 1898, 585, 4180, 938, 3106, 543, 6043, 538, 513, 6385, 4657, 1158, 269, 8625, 267, 649, 666, 1628, 513, 10930, 543, 1732, 4448, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 18628, 7010, 12054, 14373, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21122, 532, 3085, 1406, 2097, 609, 513, 25156, 269, 898, 3217, 2219, 543, 4058, 547, 5965, 707, 1453, 585, 1272, 269, 1411, 8263, 596, 723, 782, 519, 942, 538, 519, 1158, 267, 1287, 835, 1554, 596, 616, 24386, 909, 519, 1286, 547, 1491, 873, 547, 2852, 610, 513, 1007, 2816, 538, 513, 1007, 2749, 269, 6168, 476, 1240, 1296, 568, 519, 2866, 1974, 543, 519, 942, 596, 723, 547, 16491, 707, 1453, 609, 22317, 1272, 1983, 563, 27269, 649, 5000, 938, 1453, 547, 7119, 538, 2319, 5026, 543, 2575, 4245, 267, 7836, 1454, 942, 543, 2724, 267, 1247, 930, 540, 519, 811, 2596, 6668, 1983, 979, 3768, 821, 563, 763, 6426, 3081, 547, 5721, 909, 513, 1126, 538, 519, 1259, 646, 2115, 547, 979, 269, 1306, 606, 2937, 646, 786, 1118, 1010, 1378, 3664, 855, 607, 513, 2385, 596, 666, 2285, 1864, 513, 14951, 9221, 540, 1995, 547, 1930, 950, 2877, 269, 769, 602, 14951, 9221, 596, 666, 723, 5289, 267, 2067, 267, 543, 3929, 1983, 585, 707, 1126, 547, 1489, 5128, 883, 15296, 563, 2080, 616, 476, 2004, 540, 519, 1271, 4245, 707, 1453, 991, 1354, 1373, 9250, 883, 1272, 1510, 596, 2336, 29490, 2161, 5225, 543, 9684, 596, 563, 4910, 1051, 707, 22242, 563, 5970, 1434, 3349, 25654, 563, 29490, 2995, 519, 5168, 563, 27778, 2313, 707, 4522, 5265, 7466, 513, 1554, 563, 307, 805, 1866, 609, 11587, 563, 15447, 875, 547, 3666, 513, 2638, 1504, 563, 15447, 875, 547, 5094, 543, 11547, 9660, 563, 3849, 2466, 950, 596, 2461, 4636, 563, 9596, 875, 547, 1305, 513, 12129, 3349, 563, 15447, 950, 547, 2161, 834, 7224, 4799, 23945, 547, 4688, 2724, 563, 9596, 875, 547, 7669, 563, 7343, 3285, 622, 5906, 2831, 563, 10907, 1061, 14710, 609, 11419, 563, 5719, 531, 609, 18349, 543, 29359, 563, 10673, 1406, 3802, 1753, 4805, 693, 3781, 563, 7476, 2059, 609, 1004, 596, 949, 711, 899, 602, 1454, 563, 29490, 1832, 707, 1286, 2973, 563, 18850, 3907, 880, 2115, 689, 6499, 563, 28874, 3054, 20019, 563, 15447, 875, 547, 1039, 267, 10208, 267, 9062, 543, 7941, 563, 16100, 2576, 538, 519, 3750, 950, 6158, 547, 873, 563, 9596, 547, 11878, 513, 11332, 563, 9596, 875, 547, 2328, 513, 9684, 596, 4063, 563, 9596, 547, 2995, 519, 942, 593, 513, 9219, 609, 3946, 563, 9596, 875, 547, 1118, 707, 5127, 563, 15447, 875, 547, 4308, 609, 13357, 563, 9596, 875, 547, 21907, 513, 3094, 270, 7773, 563, 29490, 2312, 707, 6676, 1310, 12129, 563, 5649, 1354, 596, 979, 547, 5127, 563, 9596, 875, 547, 5397, 513, 1286, 563, 15447, 875, 547, 4368, 513, 6366, 563, 9596, 875, 547, 12235, 513, 3440, 563, 9596, 875, 547, 3434, 2947, 2596, 6980, 563, 19400, 7641, 543, 1404, 3381, 3756, 538, 20208, 563, 15447, 875, 547, 1224, 513, 2757, 4786, 563, 15447, 875, 547, 10571, 585, 606, 8317, 563, 9596, 875, 547, 27106, 513, 14735, 563, 9596, 547, 2285, 513, 6109, 3946, 327, 820, 563, 9596, 875, 547, 17063, 513, 17063, 563, 9596, 875, 547, 16833, 513, 1459, 563, 9596, 875, 547, 1689, 513, 6366, 12483, 563, 9596, 875, 547, 8038, 513, 30866, 563, 9596, 875, 547, 1376, 513, 3595, 563, 9596, 875, 547, 12334, 513, 17895, 563, 9596, 875, 547, 5265, 4685, 883, 513, 10977, 7535, 563, 9596, 875, 547, 30908, 267, 544, 641, 543, 12511, 563, 9596, 875, 547, 946, 14299, 560, 6506, 563, 2080, 616, 513, 1906, 30920, 547, 5000, 596, 593, 707, 15970, 267, 3450, 3460, 563, 3682, 18690, 476, 2420, 281, 277, 11536, 309, 267, 968, 307, 1778, 909, 513, 1126, 538, 519, 1259, 646, 1058, 979, 282, 1256, 950, 646, 568, 2025, 646, 786, 711, 8977, 689, 621, 3034, 22977, 1127, 2103, 476, 277, 281, 275, 11536, 309, 267, 968, 293, 1430, 338, 267, 798, 711, 28596, 707, 1453, 547, 10845, 267, 855, 3142, 873, 909, 538, 519, 9015, 543, 6044, 540, 519, 7083, 3034, 11679, 531, 332, 476, 14096, 281, 274, 268, 276, 11536, 309, 267, 968, 6826, 3835, 267, 1453, 616, 513, 6561, 689, 519, 7083, 267, 519, 4829, 540, 519, 27042, 513, 8007, 269, 6145, 21985, 538, 519, 1688, 540, 513, 24116, 616, 519, 1453, 540, 835, 781, 6107, 269, 645, 1652, 539, 568, 519, 812, 945, 25361, 1010, 844, 1853, 609, 873, 256, 1261, 4927, 711, 581, 2322, 547, 17847, 950, 646, 14753, 609, 1010, 14763, 538, 519, 10766, 3034, 31861, 476, 1240, 281, 1015, 11536, 309, 267, 968, 8450, 602, 596, 798, 711, 16339, 1047, 835, 540, 891, 2370, 3283, 269, 1280, 594, 2995, 596, 602, 538, 13140, 741, 23109, 2141, 1294, 519, 3068, 540, 1250, 12429, 945, 568, 538, 13140, 3034, 3682, 18690, 476, 1704, 281, 277, 11536, 309, 267, 968, 294, 8681, 18244, 616, 519, 13862, 540, 519, 9907, 267, 543, 519, 18710, 540, 1453, 568, 741, 18971, 3034, 3674, 320, 11672, 476, 7918, 281, 1724, 11536, 309, 267, 968, 5472, 707, 1453, 4927, 581, 6026, 676, 519, 7083, 267, 543, 1390, 4927, 581, 519, 4708, 540, 707, 1453, 3034, 15812, 476, 1015, 281, 1724, 268, 1626, 11536, 309, 267, 968, 4517, 789, 941, 8744, 1453, 547, 1864, 602, 646, 1522, 5905, 873, 267, 543, 519, 20785, 6450, 4157, 539, 873, 269, 1809, 950, 4906, 4718, 621, 267, 646, 729, 967, 17257, 543, 1767, 547, 873, 267, 968, 4131, 519, 1453, 2097, 547, 803, 282, 798, 711, 17225, 873, 267, 585, 547, 971, 12851, 519, 10806, 540, 2696, 269, 22427, 569, 267, 594, 2161, 547, 596, 267, 945, 1197, 1281, 711, 4309, 519, 10806, 540, 2696, 899, 513, 1126, 4927, 711, 4283, 621, 1848, 1656, 646, 3576, 873, 538, 1010, 7916, 543, 25552, 873, 267, 18413, 1010, 3946, 593, 873, 1848, 22977, 1127, 2103, 476, 277, 281, 272, 268, 275, 454, 3682, 18690, 476, 736, 281, 1556, 11536, 309, 267, 968, 10214, 513, 1126, 2306, 5128, 1634, 676, 1010, 6411, 267, 676, 2436, 1010, 2932, 568, 6986, 543, 20005, 1848, 0, 272, 269, 634, 6006, 532, 5860, 568, 1932, 1164, 454, 763, 1292, 1106, 540, 18413, 18911, 2504, 568, 1507, 8397, 543, 1804, 2516, 269, 9603, 547, 519, 20159, 540, 7482, 267, 2230, 267, 3937, 543, 4494, 21799, 1062, 267, 610, 519, 9742, 619, 685, 835, 21758, 13287, 540, 519, 4336, 540, 9960, 267, 519, 5860, 540, 454, 15842, 5317, 543, 2156, 5317, 676, 9742, 619, 568, 3622, 1164, 269, 634, 2156, 5317, 5860, 538, 519, 1101, 3018, 568, 3622, 476, 1789, 829, 4009, 11281, 267, 855, 519, 4890, 1377, 568, 7466, 607, 1164, 269, 898, 568, 811, 1455, 267, 1256, 476, 273, 268, 274, 2053, 2362, 269, 769, 930, 10820, 267, 519, 8023, 5860, 3788, 519, 1482, 689, 10024, 519, 17944, 547, 519, 524, 1137, 267, 543, 789, 3112, 581, 17355, 18050, 593, 942, 538, 519, 2038, 3942, 269, 634, 476, 277, 22173, 6040, 1560, 2450, 543, 2597, 616, 2352, 547, 3914, 519, 3044, 267, 799, 2047, 5540, 519, 2298, 540, 2156, 5317, 543, 3395, 17944, 269, 769, 519, 2259, 540, 4494, 2504, 585, 1082, 1296, 267, 594, 723, 7184, 7691, 602, 519, 6006, 532, 5860, 568, 519, 3119, 3815, 12145, 519, 2773, 540, 4494, 646, 985, 563, 273, 269, 18648, 14910, 454, 1103, 519, 2038, 2156, 5317, 1974, 267, 9885, 543, 9486, 616, 17401, 20177, 547, 1832, 519, 32138, 3636, 269, 1306, 519, 5860, 4679, 267, 5728, 687, 543, 608, 920, 3279, 2333, 267, 8869, 344, 2326, 616, 1031, 267, 17207, 543, 546, 6387, 2887, 1055, 267, 519, 2011, 538, 519, 2777, 568, 5393, 18660, 267, 543, 519, 32138, 1332, 538, 769, 971, 606, 1604, 267, 17229, 267, 32125, 267, 12263, 267, 3092, 269, 616, 538, 513, 2068, 1533, 602, 12517, 5540, 519, 2208, 543, 1646, 540, 17944, 563, 274, 269, 634, 2500, 7158, 540, 519, 28680, 543, 530, 622, 17243, 616, 711, 2614, 267, 4611, 538, 4057, 9269, 7833, 640, 454, 18814, 547, 519, 3978, 17732, 540, 2500, 2230, 585, 2156, 5317, 267, 519, 1297, 540, 2038, 11369, 1115, 543, 6704, 535, 870, 1622, 568, 12691, 547, 581, 1804, 269, 2060, 519, 6024, 2333, 540, 519, 9269, 2085, 543, 519, 2168, 1646, 540, 519, 17944, 267, 519, 17944, 666, 1152, 3548, 543, 4235, 1896, 2053, 538, 10047, 1510, 2810, 519, 1297, 540, 11369, 1115, 543, 4235, 619, 269, 634, 7274, 543, 2298, 540, 1142, 9269, 781, 1426, 6981, 616, 1114, 269, 2073, 28088, 532, 538, 4057, 9269, 7833, 640, 269, 7756, 2068, 6604, 543, 1852, 3800, 267, 1114, 8654, 1949, 543, 824, 2188, 616, 849, 835, 540, 519, 4128, 585, 519, 3668, 540, 8445, 4212, 2504, 538, 519, 3003, 18911, 2777, 563, 275, 269, 7756, 10627, 2583, 540, 17944, 538, 519, 1482, 9269, 2777, 454, 23149, 11396, 630, 5264, 9302, 264, 2322, 17944, 540, 1114, 6502, 538, 519, 1482, 9269, 2777, 269, 9603, 547, 1114, 9960, 2359, 267, 1114, 2068, 6604, 543, 1852, 3800, 267, 543, 1114, 1769, 1949, 267, 519, 5798, 540, 519, 2898, 9269, 2777, 616, 711, 2938, 269, 2290, 540, 519, 4128, 585, 519, 8445, 563, 276, 269, 634, 15657, 540, 519, 27514, 543, 4638, 15657, 616, 711, 15222, 1242, 454, 23744, 5258, 883, 1079, 3871, 267, 835, 568, 602, 519, 7833, 640, 568, 1447, 982, 476, 3199, 9077, 519, 11664, 540, 8390, 568, 811, 982, 476, 1015, 9077, 543, 519, 3328, 2597, 568, 2539, 982, 519, 2539, 3970, 540, 519, 3044, 269, 898, 568, 2938, 602, 519, 4212, 2085, 568, 5266, 2038, 543, 519, 4212, 2504, 2557, 14380, 585, 513, 1279, 942, 269, 634, 4212, 2504, 8445, 1281, 711, 979, 909, 267, 519, 8445, 1281, 711, 979, 909, 11179, 267, 519, 8445, 8653, 568, 2110, 267, 519, 4212, 2597, 568, 1769, 267, 543, 519, 2669, 2557, 568, 1164, 269, 634, 824, 568, 602, 519, 7833, 640, 568, 1447, 982, 476, 3199, 9077, 519, 11664, 540, 8390, 568, 811, 982, 476, 1015, 9077, 543, 519, 3328, 2597, 568, 2362, 982, 519, 5580, 3970, 540, 519, 3044, 269, 898, 568, 2938, 602, 519, 4212, 2085, 568, 3735, 267, 519, 4616, 540, 519, 2898, 1974, 4679, 267, 543, 519, 3049, 3562, 268, 1122, 326, 5223, 568, 1164, 563, 277, 269, 1133, 560, 762, 1769, 610, 13385, 8515, 693, 519, 18413, 3942, 454, 20797, 814, 9863, 602, 476, 1691, 268, 1428, 3108, 540, 1769, 829, 1554, 585, 18413, 646, 985, 666, 2743, 519, 3747, 1282, 8445, 4212, 2504, 269, 898, 568, 2556, 547, 6467, 519, 8279, 593, 942, 950, 4946, 1769, 267, 6382, 621, 786, 11145, 519, 8086, 540, 519, 4494, 547, 1769, 14242, 269, 634, 3167, 1769, 1058, 581, 8704, 693, 513, 4463, 540, 476, 272, 269, 279, 268, 273, 7397, 689, 519, 2666, 269, 634, 3845, 1063, 519, 1769, 543, 519, 1769, 568, 3160, 269, 1280, 513, 476, 2412, 2914, 3430, 15941, 267, 519, 24045, 1769, 1058, 1152, 581, 7930, 6905, 269, 1879, 10024, 519, 8445, 1974, 267, 519, 1769, 1058, 581, 5266, 7123, 543, 519, 8515, 1058, 581, 5078, 563, 278, 269, 1133, 516, 32208, 12417, 585, 8445, 4212, 2504, 454, 763, 8445, 1974, 540, 18413, 646, 985, 568, 827, 476, 1839, 268, 3374, 4374, 540, 2085, 267, 543, 519, 18413, 2557, 568, 3622, 1657, 476, 5952, 10065, 4438, 713, 1974, 267, 519, 18413, 646, 985, 723, 519, 1034, 24526, 12214, 3252, 269, 901, 10475, 1974, 1590, 581, 3927, 1031, 269, 1403, 519, 32138, 616, 6659, 538, 2038, 5614, 634, 8445, 4212, 2504, 1974, 540, 17944, 568, 538, 4832, 269, 9603, 547, 519, 3905, 4365, 267, 9269, 6981, 568, 4389, 269, 4107, 9269, 11396, 723, 23696, 3002, 560, 6593, 6604, 543, 9023, 3800, 267, 610, 4352, 972, 616, 1978, 3800, 267, 621, 568, 2352, 547, 3914, 519, 1034, 5078, 2837, 1282, 9269, 18413, 630, 476, 1240, 11433, 481, 268, 2190, 11433, 481, 1040, 769, 1840, 267, 1813, 547, 519, 3905, 4365, 267, 5841, 9023, 610, 20893, 3684, 9023, 568, 2838, 538, 519, 2777, 547, 2333, 519, 11195, 538, 519, 2777, 267, 543, 519, 661, 269, 19546, 568, 5078, 585, 2208, 543, 12093, 269, 634, 17944, 616, 12155, 547, 897, 756, 659, 650, 2670, 267, 799, 666, 849, 1118, 519, 18413, 646, 985, 2352, 547, 3914, 519, 8445, 540, 4212, 2504, 269, 0, 292, 22611, 12786, 22224, 609, 27894, 454, 305, 10846, 281, 5871, 269, 898, 781, 5156, 602, 2960, 30219, 1106, 1472, 16290, 23128, 11294, 2281, 2443, 519, 2281, 602, 1106, 519, 5266, 9157, 9018, 4494, 540, 519, 2960, 269, 4746, 267, 519, 2604, 689, 9395, 1274, 337, 902, 6971, 1973, 2095, 547, 519, 3783 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 918, 12609, 543, 31522, 20828, 281, 1133, 24286, 2659, 6936, 15783, 3414, 962, 690, 545, 13898, 692, 296, 269, 4985, 692, 1103, 2221, 781, 3728, 19550, 1158, 267, 2566, 267, 4160, 267, 543, 4606, 540, 771, 28947, 723, 1831, 782, 1932, 1455, 269, 3509, 2043, 3343, 24176, 998, 1585, 1582, 25298, 2409, 267, 1519, 5289, 2853, 899, 10649, 269, 10705, 9228, 8806, 607, 513, 1106, 540, 3635, 5059, 593, 5355, 2168, 1072, 267, 972, 6013, 1369, 10649, 513, 7096, 6138, 10704, 1472, 2035, 971, 607, 737, 12609, 543, 9997, 3483, 269, 901, 1770, 12538, 7184, 883, 891, 2093, 267, 3695, 741, 3140, 5072, 543, 10083, 547, 4207, 2486, 1247, 5356, 4052, 3156, 585, 2123, 2208, 543, 7004, 780, 2862, 269, 4197, 918, 12609, 454, 288, 269, 9502, 543, 18882, 692, 272, 269, 16130, 2165, 1412, 330, 12609, 262, 18922, 547, 2962, 267, 960, 267, 610, 632, 539, 282, 4016, 547, 519, 6240, 602, 1169, 2962, 12958, 4539, 267, 1312, 2318, 543, 2942, 267, 7133, 938, 1459, 543, 2104, 2729, 563, 273, 269, 10417, 12082, 538, 18420, 267, 13221, 267, 27454, 1143, 267, 543, 15446, 545, 24866, 282, 7533, 5057, 540, 4095, 10764, 543, 17035, 563, 289, 269, 918, 1301, 545, 16572, 692, 272, 269, 20531, 543, 6356, 630, 25187, 540, 6970, 639, 566, 2567, 5272, 2962, 7472, 5114, 4433, 264, 8159, 1367, 781, 2833, 543, 6381, 563, 273, 269, 18696, 630, 25187, 540, 3281, 18730, 2567, 589, 2388, 2832, 2509, 8236, 3666, 1063, 1434, 543, 3983, 737, 1301, 553, 267, 4180, 5837, 11466, 2066, 3076, 564, 1307, 563, 290, 269, 9537, 540, 918, 12609, 692, 272, 269, 2398, 541, 629, 323, 3873, 918, 12609, 281, 22500, 540, 2250, 3527, 8915, 532, 538, 1459, 1272, 282, 3112, 581, 12012, 855, 4810, 29596, 585, 21481, 563, 273, 269, 3397, 9564, 918, 12609, 281, 8892, 737, 12609, 4611, 689, 1459, 4555, 267, 1913, 267, 543, 3527, 282, 1761, 547, 3337, 22038, 676, 1818, 13533, 5079, 563, 291, 269, 19750, 10241, 540, 918, 12609, 692, 272, 269, 24238, 281, 9861, 3222, 540, 4555, 267, 4664, 267, 543, 5615, 14237, 18532, 3375, 6194, 543, 10893, 16662, 30102, 2800, 563, 273, 269, 6796, 281, 12056, 538, 6411, 540, 11587, 543, 28908, 5807, 2318, 737, 12609, 543, 7700, 547, 6848, 8171, 563, 7656, 269, 24531, 31522, 20828, 454, 288, 269, 20223, 31522, 20828, 692, 272, 269, 4746, 1634, 607, 546, 327, 12609, 267, 693, 2006, 267, 610, 1898, 2470, 282, 2189, 10912, 13057, 2043, 4724, 16180, 741, 5207, 1761, 563, 273, 269, 10671, 2231, 26126, 267, 1582, 18221, 267, 543, 12972, 609, 4295, 2418, 543, 18653, 563, 289, 269, 10289, 20144, 12609, 692, 272, 269, 9050, 19507, 11202, 540, 20144, 12609, 281, 9406, 2932, 267, 1318, 1702, 267, 1318, 4674, 267, 543, 1318, 20185, 3056, 547, 10103, 1063, 6418, 7326, 543, 5007, 4082, 563, 273, 269, 17291, 9608, 16237, 2195, 543, 10426, 687, 281, 14484, 532, 2390, 7915, 15421, 267, 4690, 267, 543, 17050, 26936, 873, 609, 3028, 547, 1866, 543, 1582, 3766, 9512, 563, 290, 269, 1325, 793, 532, 609, 31522, 20828, 692, 272, 269, 17553, 2271, 550, 687, 281, 22548, 4328, 3853, 543, 13821, 16135, 538, 13597, 543, 8699, 5009, 6209, 6278, 609, 1272, 563, 273, 269, 16871, 7827, 281, 21969, 5765, 4720, 543, 9542, 2429, 1585, 5933, 540, 1272, 26549, 2067, 10593, 538, 3483, 543, 14422, 563, 4353, 269, 23889, 918, 12609, 543, 31522, 20828, 883, 7073, 5020, 454, 288, 269, 16792, 962, 690, 545, 14362, 5510, 519, 4223, 692, 272, 269, 4980, 22899, 8682, 5025, 16346, 281, 22982, 9066, 267, 30998, 267, 543, 14719, 894, 2853, 547, 6536, 5813, 543, 9837, 4259, 563, 273, 269, 12389, 6599, 1227, 281, 2506, 7853, 21644, 899, 19969, 267, 8296, 267, 9639, 267, 543, 21548, 14304, 1915, 1646, 543, 3347, 563, 309, 269, 7351, 12367, 543, 3194, 25417, 962, 690, 545, 13898, 454, 288, 269, 3163, 543, 20154, 640, 20593, 10885, 692, 272, 269, 11671, 27415, 640, 281, 11020, 781, 2702, 547, 556, 6716, 1125, 3294, 676, 8108, 1007, 8849, 4296, 5885, 5042, 13916, 543, 6043, 563, 273, 269, 9210, 3394, 7497, 281, 24498, 2188, 12018, 5444, 4082, 13031, 25872, 1063, 1604, 267, 2623, 267, 543, 19021, 640, 563, 289, 269, 2552, 6374, 894, 31499, 692, 272, 269, 23889, 8109, 5289, 5389, 609, 5375, 5626, 3741, 14123, 11455, 7067, 543, 2123, 7004, 563, 9654, 269, 10390, 692, 3528, 6313, 519, 3638, 1686, 540, 737, 12609, 543, 9997, 3483, 1369, 15446, 545, 6138, 267, 2413, 6267, 666, 4019, 15851, 7326, 547, 6330, 10848, 540, 4207, 6228, 269, 1306, 2518, 9637, 27372, 267, 8508, 2085, 6040, 10752, 2488, 3255, 585, 8476, 1582, 268, 24483, 267, 17519, 2713, 267, 543, 6038, 16734, 938, 2407, 652, 1761, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 312, 7541, 568, 606, 3504, 2259, 602, 814, 1044, 1472, 585, 5215, 540, 1296, 269, 898, 12090, 538, 3127, 543, 814, 2094, 3262, 547, 824, 2694, 540, 519, 1158, 269, 634, 2259, 540, 10649, 3322, 2168, 2022, 999, 267, 7244, 2553, 267, 543, 9066, 269, 2755, 1082, 1004, 2490, 547, 10649, 585, 922, 2168, 2640, 267, 971, 607, 2799, 8112, 543, 4222, 267, 519, 2259, 814, 513, 4514, 2495, 543, 3483, 269, 769, 713, 3102, 3391, 267, 649, 786, 2263, 519, 2620, 2495, 543, 3483, 540, 10649, 267, 543, 875, 621, 666, 2981, 707, 1272, 269, 6787, 596, 616, 513, 19023, 19995, 610, 513, 19444, 267, 713, 3391, 786, 1683, 596, 609, 3407, 4030, 883, 519, 2259, 540, 10649, 269, 1924, 267, 1577, 779, 4685, 538, 543, 3605, 519, 3020, 9759, 540, 10649, 563, 8139, 519, 8466, 24306, 540, 18639, 454, 763, 9147, 17959, 540, 18639, 454, 763, 3504, 8129, 540, 10649, 666, 581, 14360, 1394, 547, 519, 1473, 639, 4149, 31730, 342, 10620, 10340, 540, 519, 4095, 1016, 29657, 267, 799, 25577, 1472, 476, 4968, 271, 14514, 269, 634, 9998, 2854, 5638, 540, 10649, 616, 1336, 538, 519, 15519, 1386, 320, 267, 606, 3504, 4095, 27403, 267, 530, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 12609, 543, 31522, 20828, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 20154, 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, 24531, 3776, 8836, 11595, 998, 25839, 4457, 31888, 692, 8702, 267, 1762, 5640, 256, 5620, 596, 2479, 4862, 540, 5929, 4457, 6965, 286, 898, 781, 899, 6679, 909, 513, 9589, 6885, 883, 519, 2250, 267, 3850, 721, 547, 32708, 693, 875, 1004, 5030, 267, 2219, 267, 543, 5433, 7366, 540, 1296, 3516, 269, 4653, 267, 649, 786, 7832, 593, 513, 4241, 3460, 1210, 891, 10475, 18627, 547, 2263, 938, 3638, 2686, 6561, 2439, 5331, 6972, 2059, 513, 4190, 2619, 1572, 519, 834, 307, 836, 17826, 10003, 257, 538, 8109, 2098, 515, 10202, 836, 267, 3624, 269, 901, 4155, 568, 2027, 1317, 621, 568, 20898, 609, 811, 982, 476, 272, 267, 4335, 4190, 19358, 19092, 9954, 910, 936, 476, 6110, 1296, 2025, 256, 1452, 9954, 616, 4904, 609, 12667, 11673, 540, 2470, 267, 4664, 267, 543, 1272, 1282, 3504, 2053, 269, 1809, 1705, 596, 917, 602, 6456, 1369, 891, 19621, 3515, 9114, 11580, 827, 741, 4589, 267, 6753, 267, 543, 1256, 519, 1259, 789, 16545, 5624, 286, 2334, 781, 1141, 938, 1007, 2828, 267, 2780, 3292, 899, 5124, 267, 2097, 538, 13561, 2439, 4131, 781, 4685, 4514, 883, 1620, 875, 5904, 666, 948, 721, 5659, 891, 17681, 9954, 269, 3689, 267, 4952, 1142, 6648, 607, 513, 2462, 9126, 2407, 540, 1913, 1107, 1175, 899, 707, 15513, 2013, 568, 513, 8708, 585, 782, 12204, 540, 6728, 2044, 3688, 269, 1635, 7962, 3539, 856, 1346, 11435, 543, 10203, 1018, 781, 3330, 873, 267, 649, 1376, 7487, 799, 1913, 2408, 1927, 1034, 1419, 269, 1280, 3236, 267, 952, 1082, 15023, 5206, 827, 5810, 2282, 10239, 267, 649, 1522, 9959, 602, 9256, 1412, 25154, 262, 543, 1412, 25236, 1622, 262, 5932, 513, 6209, 6429, 538, 741, 8186, 2439, 9202, 2501, 11837, 856, 891, 4296, 1063, 1913, 11617, 865, 649, 666, 3362, 1294, 875, 1114, 2035, 9305, 547, 835, 1776, 269, 5994, 5373, 513, 17178, 19986, 8220, 1913, 602, 4749, 1397, 909, 1927, 282, 4166, 2614, 267, 596, 3513, 5469, 930, 10578, 3270, 6932, 269, 901, 4480, 568, 1634, 607, 2679, 513, 1071, 31507, 5270, 23066, 3060, 780, 7661, 267, 1577, 781, 1589, 827, 1141, 4010, 891, 10207, 1491, 1747, 269, 21518, 972, 1808, 4025, 1141, 15023, 1336, 6667, 286, 1677, 2626, 713, 2243, 267, 649, 946, 1945, 1572, 2983, 7240, 6176, 7010, 630, 31043, 1040, 2060, 922, 3532, 2645, 267, 649, 1711, 7851, 6029, 9830, 540, 1978, 4798, 2066, 2230, 269, 1924, 267, 952, 649, 1265, 6266, 540, 2648, 9954, 2854, 1472, 513, 1880, 10720, 267, 6148, 972, 781, 1945, 11509, 15720, 972, 2439, 3528, 3695, 891, 6909, 5931, 998, 5499, 2409, 267, 649, 21048, 559, 6106, 540, 2495, 602, 1131, 6382, 2611, 2150, 31189, 269, 3807, 899, 14155, 908, 12617, 14951, 267, 1169, 6602, 27862, 938, 7071, 540, 1686, 267, 3332, 267, 543, 2528, 269, 1656, 7058, 1018, 286, 1411, 723, 1631, 1831, 513, 851, 540, 713, 13858, 7045, 256, 5901, 2542, 267, 1832, 1565, 267, 543, 3314, 281, 945, 6487, 1018, 824, 13655, 24098, 721, 538, 519, 3817, 540, 5929, 4457, 6965, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9928, 2940, 13421, 267, 3123, 267, 8901, 3270, 543, 2994, 538, 519, 2686, 5251, 6561, 540, 19358, 17826, 10003, 538, 8109, 2098, 515, 10202, 836, 1759, 593, 1257, 5599, 454, 15463, 5146, 3163, 4320, 476, 1556, 267, 9137, 1297, 281, 476, 18891, 630, 1708, 274, 994, 763, 24567, 2361, 540, 3059, 23408, 814, 3177, 1271, 2413, 6639, 1797, 585, 1257, 5599, 538, 5339, 1568, 269, 4457, 8106, 6965, 267, 607, 513, 14951, 538, 519, 1158, 779, 7499, 1726, 21204, 267, 6585, 1713, 1871, 538, 9301, 519, 6561, 540, 1158, 2528, 269, 769, 713, 1353, 267, 2921, 519, 476, 15647, 280, 19358, 9954, 689, 519, 19358, 17826, 10003, 538, 8109, 2098, 515, 10202, 836, 607, 606, 1383, 267, 649, 9112, 513, 1382, 5943, 602, 7710, 519, 15312, 540, 8106, 4457, 6965, 8916, 543, 8901, 11052, 693, 519, 4683, 4903, 331, 558, 3130, 4336, 676, 9001, 13664, 543, 10763, 2645, 971, 607, 5124, 5752, 267, 717, 788, 6062, 1071, 31507, 5270, 23066, 5121, 267, 543, 22944, 17830, 5860, 2079, 269, 634, 5943, 15225, 1614, 1883, 10124, 281, 630, 272, 264, 513, 1257, 4393, 1935, 602, 13000, 1367, 3197, 607, 694, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1321, 281, 19484, 4521, 543, 22769, 538, 30007, 543, 11473, 10794, 4886, 20260, 338, 692, 1103, 2221, 781, 6385, 4657, 9913, 5251, 267, 3381, 3014, 1646, 11731, 723, 1831, 5051, 1950, 1813, 547, 519, 991, 547, 16783, 609, 1585, 3656, 4170, 1247, 13326, 1870, 6859, 269, 901, 3184, 786, 1683, 596, 609, 513, 2620, 4685, 883, 1876, 267, 7881, 267, 543, 6042, 4478, 891, 2010, 540, 11650, 269, 1284, 786, 2263, 875, 3549, 899, 2372, 6506, 11017, 6330, 519, 2591, 4843, 676, 22124, 971, 607, 519, 589, 19520, 2284, 32573, 1782, 6513, 8189, 543, 519, 5177, 32573, 1782, 8189, 269, 1635, 6313, 1483, 8996, 7653, 543, 2013, 2090, 267, 596, 786, 2744, 513, 4396, 5748, 538, 1620, 543, 27410, 3381, 3014, 1646, 9388, 780, 4089, 476, 272, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1206, 267, 7254, 3202, 2472, 267, 6464, 267, 6527, 267, 16931, 2326, 630, 8364, 7065, 561, 842, 267, 12109, 13827, 267, 3092, 13776, 610, 6757, 6878, 1524, 519, 8963, 563, 8196, 1216, 7561, 269, 2422, 1216, 22766, 17643, 9843, 267, 1970, 2095, 30079, 267, 543, 4395, 15205, 729, 1667, 269, 29766, 682, 1136, 26892, 543, 1118, 2386, 707, 2040, 335, 8486, 568, 711, 4448, 547, 519, 23170, 1062, 563, 5970, 707, 7382, 29253, 1169, 1614, 1296, 563, 10673, 1406, 5397, 593, 610, 1628, 936, 1022, 851, 540, 707, 1062, 269, 0, 305, 15219, 916, 543, 4992, 540, 8478, 281, 513, 7574, 29984, 454, 1103, 513, 2197, 540, 18626, 17114, 899, 8478, 1107, 609, 811, 982, 476, 279, 2929, 4009, 21240, 630, 274, 269, 273, 2929, 4009, 5195, 264, 1107, 519, 3638, 4763, 568, 10630, 711, 1152, 538, 519, 3099, 540, 8134, 267, 855, 2523, 538, 519, 1004, 267, 2528, 543, 7574, 640, 2066, 519, 2947, 1114, 4525, 563, 4415, 513, 6404, 2551, 9256, 4529, 689, 6805, 9082, 267, 17417, 267, 543, 20338, 4547, 1282, 519, 7810, 1974, 267, 519, 1267, 1223, 711, 723, 1044, 824, 982, 606, 16411, 540, 18819, 543, 4992, 602, 13469, 538, 19384, 3232, 1272, 269, 769, 713, 11585, 540, 4992, 267, 12583, 267, 543, 5389, 267, 930, 18819, 1732, 2099, 519, 3961, 540, 1142, 3148, 563, 289, 3518, 320, 2725, 340, 4425, 328, 267, 2961, 12494, 6759, 543, 30340, 3385, 454, 1103, 519, 3345, 267, 585, 1383, 267, 519, 3979, 2528, 267, 6404, 609, 6805, 5389, 543, 513, 5905, 540, 3864, 7506, 267, 8507, 538, 513, 10477, 18691, 13037, 1572, 645, 3518, 320, 2725, 340, 4425, 328, 267, 799, 568, 9976, 2429, 519, 8835, 3148, 269, 27837, 676, 1286, 12494, 6759, 267, 519, 28292, 23758, 3385, 568, 546, 2331, 538, 8424, 543, 22482, 2342, 538, 519, 3735, 476, 2735, 271, 338, 563, 5629, 538, 519, 8835, 267, 513, 1590, 30559, 538, 2494, 9476, 568, 519, 8835, 20989, 267, 1141, 267, 538, 1840, 547, 9683, 922, 25412, 4070, 540, 3235, 937, 545, 11193, 11265, 2511, 267, 596, 666, 4585, 4715, 8163, 540, 2442, 18819, 267, 7544, 267, 8106, 2575, 267, 543, 12416, 269, 14956, 2989, 538, 476, 6245, 277, 267, 621, 729, 7396, 607, 513, 2817, 19866, 11595, 538, 476, 3422, 277, 543, 568, 2808, 835, 540, 519, 1292, 28503, 585, 19825, 543, 22412, 908, 2686, 543, 7499, 7215, 538, 519, 3148, 563, 288, 1906, 3268, 689, 519, 14364, 267, 596, 666, 3251, 693, 519, 23406, 23392, 966, 8759, 2549, 1794, 20110, 11844, 269, 898, 568, 513, 8978, 544, 6416, 6967, 689, 519, 11344, 2085, 540, 519, 12285, 2872, 602, 729, 4625, 17468, 269, 898, 814, 476, 1789, 6306, 906, 267, 782, 6849, 606, 6909, 9703, 4677, 609, 513, 2067, 6149, 7535, 563, 26466, 17383, 267, 2098, 629, 3518, 320, 267, 6452, 867, 542, 543, 16547, 2946, 454, 1103, 519, 29036, 267, 1100, 835, 666, 5706, 519, 10726, 540, 519, 1954, 17383, 689, 623, 1716, 3711, 1075, 334, 543, 519, 12730, 267, 1990, 629, 3518, 553, 630, 20142, 4548, 1070, 543, 11063, 687, 602, 27774, 519, 2502, 11733, 540, 585, 337, 6759, 538, 782, 519, 8370, 2829, 540, 519, 3148, 563, 2690, 337, 6759, 568, 835, 540, 519, 1655, 8153, 7499, 7215, 540, 713, 13566, 3148, 269, 898, 729, 2813, 538, 623, 1716, 3711, 1075, 334, 543, 267, 899, 513, 9194, 267, 3262, 547, 824, 4025, 267, 1519, 3544, 8478, 269, 28673, 814, 621, 602, 519, 2012, 2501, 689, 519, 2296, 4082, 968, 1721, 782, 5608, 13288, 547, 519, 6105, 16207, 676, 2296, 16749, 4070, 4600, 269, 634, 27592, 729, 968, 1721, 782, 5608, 799, 729, 9862, 547, 519, 2199, 12332, 607, 968, 1721, 337, 6759, 9731, 9827, 538, 623, 1716, 3711, 1075, 334, 267, 1954, 17383, 543, 2261, 659, 520, 340, 20441, 519, 1390, 2961, 333, 2526, 13037, 267, 2523, 538, 519, 4884, 540, 9986, 25475, 267, 513, 2101, 2686, 13398, 538, 8478, 269, 13207, 1563, 513, 8466, 543, 8836, 11595, 540, 5274, 640, 676, 20648, 538, 476, 2735, 273, 267, 538, 713, 29109, 15231, 5589, 1057, 519, 5428, 568, 16798, 609, 9649, 31119, 602, 32694, 1851, 3875, 2516, 540, 11240, 619, 593, 519, 10754, 563, 5475, 519, 5428, 267, 513, 1434, 4781, 568, 547, 3605, 519, 5032, 540, 623, 1716, 3711, 1075, 334, 543, 1964, 538, 519, 1655, 18992, 538, 519, 3148, 267, 715, 2335, 2967, 631, 1755, 1325, 1729, 269, 28259, 539, 676, 9533, 4104, 267, 17310, 4054, 267, 543, 22600, 549, 1407, 267, 519, 3959, 8188, 606, 5836, 6870, 676, 18625, 267, 8108, 513, 2067, 7535, 540, 3636, 267, 12627, 268, 27234, 7297, 563, 1103, 15840, 807, 267, 4949, 2946, 568, 711, 1152, 513, 2575, 2511, 855, 849, 513, 2318, 7099, 269, 16511, 1023, 2356, 2161, 789, 6999, 2576, 6266, 540, 968, 1314, 2946, 6100, 27933, 10627, 340, 13196, 630, 323, 5300, 2719, 264, 543, 7192, 2135, 15530, 267, 519, 15840, 1014, 31470, 320, 630, 1873, 532, 264, 814, 3979, 5072, 543, 2789, 10096, 540, 2538, 6685, 267, 5132, 267, 543, 4339, 269, 2279, 2135, 15530, 616, 2961, 333, 2526, 7161, 971, 607, 19129, 17845, 589, 12011, 17845, 630, 3192, 275, 1070, 519, 1101, 25812, 5174, 571, 7588, 1014, 1895, 547, 2769, 519, 4339, 1996, 10168, 998, 2575, 267, 7544, 267, 543, 7802, 267, 543, 8606, 327, 657, 632, 19413, 267, 2813, 676, 2848, 1386, 2803, 538, 476, 3707, 280, 547, 6542, 32593, 775, 543, 4708, 1107, 1079, 1806, 540, 5322, 602, 8956, 519, 3979, 5072, 540, 19384, 2528, 563, 1103, 30571, 267, 606, 22098, 4781, 568, 519, 12021, 674, 553, 8457, 30571, 267, 799, 568, 24428, 538, 513, 8978, 2679, 7396, 607, 513, 8836, 2667, 564, 540, 15840, 807, 543, 729, 519, 1101, 22071, 540, 519, 11356, 968, 288, 570, 31938, 892, 585, 476, 3393, 1296, 269, 28210, 538, 10011, 549, 1325, 1407, 12384, 267, 538, 519, 19866, 4741, 540, 30571, 267, 519, 15678, 814, 26080, 5784, 540, 519, 7345, 540, 2353, 29513, 563, 289, 1601, 320, 25429, 267, 12463, 289, 630, 24154, 7588, 1014, 15019, 8535, 1070, 590, 31243, 267, 9412, 630, 306, 31243, 9412, 1070, 674, 6064, 7498, 2005, 568, 689, 519, 14913, 602, 519, 1034, 1134, 8153, 19384, 11964, 1472, 519, 1158, 16079, 281, 521, 31243, 267, 24190, 609, 2961, 333, 2526, 543, 8478, 9170, 593, 519, 4541, 267, 543, 20148, 320, 562, 13960, 267, 835, 540, 519, 1034, 9565, 5322, 538, 19384, 2442, 2575, 267, 799, 3459, 538, 519, 476, 3707, 271, 338, 543, 729, 32161, 1242, 538, 3875, 8964, 676, 922, 6574, 5639, 267, 11835, 14244, 16500, 828, 1729, 563, 288, 5870, 540, 15840, 2103, 267, 6754, 626, 553, 267, 543, 595, 926, 665, 553, 538, 476, 3422, 279, 8507, 538, 519, 865, 10777, 570, 22241, 5451, 20377, 3350, 267, 513, 24182, 538, 19384, 2528, 267, 1141, 9048, 557, 5270, 543, 12050, 1145, 609, 18953, 540, 13176, 267, 1279, 1225, 569, 4552, 267, 543, 22350, 10477, 9660, 4547, 827, 2242, 711, 1152, 538, 2575, 267, 855, 849, 538, 13919, 543, 2623, 269, 14118, 10642, 676, 519, 20361, 773, 4831, 322, 11857, 267, 19384, 2442, 2575, 6591, 18565, 540, 18326, 267, 4708, 267, 543, 2648, 538, 519, 9739, 540, 16500, 828, 1729, 16500, 267, 6970, 564, 8457, 20653, 657, 334, 267, 8895, 22728, 267, 4432, 529, 3204, 2088, 267, 7033, 8575, 807, 267, 14642, 23688, 656, 525, 267, 543, 811, 563, 2252, 596, 616, 2542, 713, 2376, 9170, 824, 982, 593, 589, 24006, 1722, 13488, 18248, 267, 1287, 519, 8458, 616, 602, 713, 1543, 814, 1044, 21687, 1510, 10479, 563, 8923, 1118, 513, 4063, 540, 519, 1357, 2232, 1657, 543, 3346, 589, 24006, 1722, 13488, 18248, 547, 18973, 873, 540, 713, 3390, 563, 14188, 596, 585, 707, 948, 538, 8396, 1154, 1543, 17403, 563, 4517, 972, 568, 849, 674, 6064, 595, 926, 10087, 267, 799, 814, 5734, 519, 12125, 5001, 609, 1323, 527, 3279, 779, 5639, 543, 3942, 2773, 563, 763, 4872, 540, 590, 14244, 6754, 334, 543, 21586, 632, 13191, 10098, 723, 1100, 17732, 540, 3681, 585, 13447, 28503, 543, 2982, 269, 9177, 267, 2575, 267, 1148, 267, 543, 7544, 1491, 1747, 2429, 519, 1032, 538, 1312, 1558, 1886, 565, 2478, 269, 590, 14244, 6754, 334, 814, 1100, 17732, 540, 17195, 22098, 24069, 971, 607, 674, 553, 8457, 267, 2506, 559, 10730, 267, 543, 23433, 269, 1656, 21586, 632, 13191, 10098, 814, 674, 553, 8457, 267, 2506, 559, 10730, 21586, 267, 10515, 659, 629, 3570, 20066, 630, 2421, 5617, 12107, 23392, 1070, 12876, 23992, 21586, 632, 13191, 10098, 267, 543, 631, 294, 718, 2044, 13244, 1855, 25564, 267, 538, 519, 1630, 1335, 1014, 8378, 540, 13244, 1855, 25564, 563, 763, 1592, 540, 19384, 18819, 267, 25803, 267, 543, 2206, 619, 568, 1279, 269, 901, 568, 711, 5497, 547, 3382, 519, 2898, 1888, 267, 855, 2864, 513, 709, 572, 707, 7287, 547, 968, 4289, 523, 811, 547, 8478, 9731, 8245, 821, 2480, 832, 6737, 568, 15445, 10615, 540, 19384, 24006, 1722, 13488, 5948, 269, 19154, 14011, 779, 1292, 6662, 568, 547, 3895, 543, 7794, 8478, 607, 513, 2951, 10278, 547, 519, 2518, 17195, 2344, 563, 2252, 596, 1131, 899, 547, 581, 513, 16823, 5816, 3455, 593, 589, 24006, 1722, 13488, 18248, 538, 1931, 547, 6318, 707, 9043, 267, 5225, 3346, 721, 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 ]
[ 30254, 9598, 730, 269, 2353, 602, 15469, 2872, 267, 2799, 519, 717, 23259, 543, 519, 829, 21027, 4747, 267, 543, 3976, 4824, 519, 2557, 540, 2208, 267, 729, 4847, 563, 9213, 267, 5354, 540, 519, 1455, 1004, 538, 9031, 798, 711, 723, 2200, 2614, 547, 2743, 741, 2596, 29476, 269, 6168, 476, 3583, 829, 1298, 2551, 540, 9031, 2729, 593, 1447, 982, 1269, 273, 829, 1554, 269, 634, 2551, 540, 9031, 8057, 267, 593, 3328, 267, 693, 513, 2557, 540, 476, 274, 829, 1298, 829, 1032, 689, 476, 4198, 272, 2394, 519, 4571, 268, 3199, 779, 269, 3245, 1287, 593, 2394, 519, 1032, 476, 1220, 271, 267, 519, 2208, 540, 519, 2551, 30281, 1524, 547, 827, 476, 273, 269, 277, 829, 1298, 829, 1032, 281, 543, 689, 476, 1220, 271, 547, 476, 1001, 273, 267, 547, 827, 476, 273, 829, 1298, 829, 1032, 269, 1717, 267, 9031, 9483, 11752, 476, 1001, 274, 268, 1691, 5359, 602, 621, 814, 3254, 6454, 543, 621, 8519, 689, 476, 273, 269, 271, 829, 1298, 538, 476, 1001, 273, 547, 476, 272, 269, 9032, 829, 1298, 538, 476, 1001, 274, 543, 476, 272, 269, 4817, 829, 1298, 538, 476, 1001, 275, 563, 4415, 519, 2208, 2557, 540, 3592, 476, 273, 829, 1298, 829, 1032, 267, 9031, 779, 2551, 568, 6059, 547, 5555, 5595, 538, 519, 1985, 476, 3607, 1296, 269, 7225, 3101, 689, 875, 519, 2551, 814, 6738, 2094, 476, 3707, 278, 267, 713, 23060, 2551, 4137, 1281, 711, 3100, 547, 581, 2484, 1055, 543, 952, 621, 568, 4847, 547, 979, 31250, 267, 972, 786, 711, 581, 2614, 2067, 2200, 267, 6009, 267, 1072, 610, 3872, 6703, 585, 865, 1082, 1004, 685, 3833, 538, 4334, 547, 519, 1360, 16431, 602, 941, 2966, 547, 581, 12261, 883, 4641, 538, 519, 1007, 1604, 16030, 2127, 630, 852, 7587, 5024, 9031, 264, 602, 1185, 1044, 17543, 6854, 18807, 896, 519, 9598, 919, 540, 11440, 4640, 269, 898, 568, 1271, 543, 16122, 267, 4061, 267, 602, 519, 2197, 779, 2551, 568, 11689, 1242, 865, 602, 519, 11411, 593, 4540, 5989, 568, 4389, 563, 4462, 1652, 1134, 18396, 867, 3990, 543, 13447, 539, 3646, 616, 9859, 547, 1286, 557, 856, 513, 4999, 540, 3800, 547, 2569, 12680, 2557, 282, 543, 547, 4628, 2936, 2229, 4507, 267, 2551, 2208, 786, 3136, 547, 581, 513, 2101, 19224, 548, 547, 2804, 1646, 540, 519, 2197, 563, 6944, 1503, 936, 4028, 2551, 2208, 547, 7522, 543, 6038, 9004, 519, 7934, 1063, 2551, 543, 2804, 2200, 7125, 585, 606, 19349, 540, 2069, 267, 1072, 267, 8027, 6703, 543, 519, 8207, 547, 2226, 2551, 1852, 3800, 269, 5221, 4130, 3885, 2671, 4747, 1851, 7864, 1004, 267, 3328, 829, 21027, 4747, 4679, 269, 901, 786, 948, 7485, 519, 6082, 856, 540, 519, 544, 6130, 560, 668, 540, 1164, 2551, 2208, 267, 799, 814, 1044, 2348, 513, 2942, 1764, 543, 23646, 1524, 519, 10605, 540, 1514, 543, 2804, 1646, 269, 2037, 29058, 1004, 547, 723, 7864, 1453, 8309, 547, 16057, 10688, 543, 2337, 547, 12954, 1646, 563, 305, 777, 573, 2551, 2208, 568, 513, 3978, 1966, 28148, 7133, 9031, 779, 5989, 543, 2200, 269, 1280, 20408, 519, 3390, 543, 3478, 7759, 540, 6710, 267, 22293, 543, 2068, 267, 519, 5318, 23854, 540, 922, 2067, 2200, 1185, 547, 581, 2919, 547, 1118, 9031, 513, 2413, 11636, 1533, 269, 19759, 569, 267, 2705, 267, 713, 729, 711, 2944, 282, 513, 1804, 1297, 540, 2551, 568, 1869, 28715, 547, 2661, 1256, 1510, 519, 2596, 29319, 540, 1272, 899, 8027, 267, 1426, 267, 1216, 267, 5201, 543, 11122, 3599, 2533, 1256, 538, 513, 2749, 899, 10127, 25764, 2808, 607, 519, 2197, 779, 1034, 2919, 1558, 24227, 269, 0, 1103, 476, 1001, 273, 267, 16943, 2549, 2946, 20377, 29106, 4275, 3323, 513, 1982, 547, 15972, 543, 6120, 518, 7366, 540, 7314, 945, 1185, 1044, 14460, 693, 19129, 3873, 674, 4669, 3385, 267, 606, 6532, 827, 476, 736, 5195, 7178, 540, 21586, 632, 13191, 10098, 563, 15447, 333, 607, 19129, 3873, 13121, 717, 520, 657, 2443, 6532, 540, 519, 7314, 2443, 519, 6532, 729, 31523, 609, 5182, 1324, 5449, 10130, 543, 741, 535, 1968, 15556, 269, 19129, 3873, 674, 4669, 3385, 814, 1100, 2067, 2707, 540, 6704, 1216, 267, 29106, 4275, 1767, 267, 543, 7314, 1510, 10122, 1983, 1131, 3533, 5182, 557, 563, 4415, 519, 948, 540, 1866, 267, 29106, 4275, 3459, 513, 1982, 547, 1439, 519, 3765, 2044, 593, 1018, 779, 1044, 1572, 968, 29272, 1325, 13906, 23432, 27535, 634, 1895, 7307, 547, 6120, 518, 811, 982, 476, 23884, 7314, 269, 4813, 518, 10130, 941, 7550, 856, 547, 1007, 5321, 267, 855, 519, 535, 5644, 1131, 991, 547, 2611, 593, 519, 6532, 267, 865, 13538, 3459, 8023, 873, 543, 8744, 4195, 1216, 593, 513, 2834, 8430, 563, 4415, 519, 9316, 540, 2199, 8128, 267, 519, 1895, 2322, 909, 1129, 720, 1472, 519, 6532, 543, 519, 5032, 9963, 602, 10205, 532, 10130, 568, 10363, 543, 6998, 1004, 711, 547, 15936, 609, 519, 6532, 7314, 269, 1703, 941, 4566, 585, 606, 4013, 5619, 547, 22945, 519, 26804, 2551, 267, 606, 11036, 547, 946, 12514, 547, 4744, 340, 1228, 1004, 689, 546, 18804, 741, 10130, 593, 519, 6532, 7498, 2507, 663, 1287, 3357, 519, 27649, 6855, 563, 2662, 7241, 12374, 29106, 4275, 543, 2754, 1500, 936, 5216, 1296, 723, 1631, 1044, 2144, 1078, 607, 8478, 2443, 835, 540, 519, 2477, 23698, 5734, 676, 519, 3644, 2443, 814, 11124, 811, 982, 476, 14596, 267, 1822, 7972, 13166, 630, 663, 2693, 1454, 811, 4608, 870, 539, 264, 543, 606, 4346, 20739, 22486, 676, 6329, 540, 3968, 543, 27579, 563, 6624, 5411, 1223, 1100, 3476, 6488, 547, 3049, 2933, 610, 741, 7314, 1247, 1866, 5747, 267, 6028, 741, 7314, 693, 519, 23502, 540, 14077, 543, 28867, 3581, 269, 4495, 1586, 267, 1004, 3459, 10205, 532, 741, 10130, 593, 19129, 3873, 674, 4669, 3385, 563, 28490, 596, 1810, 1406, 1491, 873, 267, 789, 2461, 2469, 856, 547, 6816, 540, 519, 19949, 2223, 1004, 1131, 2995, 12062, 12427, 267, 513, 16943, 5143, 519, 6115, 5403, 779, 6833, 5270, 21025, 1195, 563, 4407, 519, 26804, 2551, 540, 674, 4669, 3385, 6816, 2799, 267, 2200, 546, 13388, 1194, 607, 9376, 23957, 15286, 13538, 689, 12419, 1426, 543, 1216, 607, 1419, 607, 789, 1185, 538, 519, 2250, 563, 3086, 519, 6532, 814, 968, 1492, 5920, 540, 513, 26804, 695, 656, 12682, 1144, 2223, 12297, 1540, 609, 8920, 777, 573, 730, 543, 26558, 1176, 268, 24554, 539, 24181, 585, 922, 17055, 535, 3894, 563, 296, 4363, 2542, 519, 3003, 1650, 267, 835, 540, 1175, 513, 1906, 10223, 519, 17167, 519, 6855, 814, 3144, 593, 10130, 563, 763, 17665, 16943, 15034, 540, 22266, 1944, 513, 3032, 646, 729, 9277, 547, 581, 8156, 5418, 12184, 711, 16944, 547, 7803, 10997, 693, 1010, 1101, 5480, 6217, 593, 13638, 267, 855, 1010, 3656, 530, 3996, 616, 2484, 689, 936, 563, 1103, 1840, 547, 519, 1079, 10997, 540, 3662, 28877, 25778, 3022, 1996, 1864, 676, 519, 23520, 1046, 17318, 4972, 267, 606, 5571, 7803, 16785, 543, 606, 7634, 676, 519, 17665, 3557, 8274, 540, 27259, 6925, 267, 16943, 9400, 30227, 8298, 534, 1631, 8188, 513, 27779, 689, 519, 26884, 3032, 779, 5411, 267, 9400, 543, 2441, 2088, 16019, 563, 763, 476, 4792, 4458, 6040, 16943, 267, 945, 814, 1044, 8026, 3662, 4915, 2094, 476, 2735, 273, 267, 16668, 519, 476, 790, 540, 3662, 2924, 15628, 543, 3032, 18798, 2066, 519, 2197, 713, 3018, 1310, 513, 1007, 3381, 4951, 513, 812, 4857, 607, 8298, 534, 5309, 4221, 267, 669, 3183, 543, 21177, 513, 3032, 646, 729, 9277, 547, 581, 8156, 693, 519, 12448, 338, 22971, 10960, 11233, 538, 23520, 1046, 267, 17665, 563, 763, 3381, 2982, 1079, 5094, 13685, 602, 5949, 1310, 519, 7085, 619, 4547, 741, 476, 2641, 4458, 6040, 3032, 267, 631, 574, 328, 267, 538, 585, 6296, 4255, 543, 15833, 538, 5437, 540, 476, 1708, 271, 563, 2108, 263, 7804, 269, 8298, 534, 264, 568, 3880, 1782, 519, 3032, 899, 513, 13793, 2006, 779, 1100, 846, 538, 835, 3381, 2223, 1767, 4024, 4223, 1492, 9749, 267, 519, 7085, 619, 685, 18607, 269, 968, 1103, 519, 824, 3381, 267, 646, 5309, 2583, 519, 3032, 607, 2182, 607, 646, 666, 24362, 1318, 538, 519, 3032, 779, 5023, 3034, 763, 7044, 267, 799, 941, 5916, 883, 835, 17157, 267, 941, 23345, 676, 2961, 4471, 623, 761, 339, 267, 513, 5449, 9441, 693, 519, 3662, 6413, 563, 310, 29552, 312, 267, 513, 2199, 3377, 6728, 538, 17665, 267, 538, 1410, 2364, 2406, 8604, 547, 16620, 623, 761, 339, 585, 519, 1671, 5224, 30891, 267, 6031, 1352, 968, 1002, 3481, 1200, 1544, 547, 2594, 8298, 534, 1310, 7234, 4145, 827, 1496, 29538, 316, 609, 2828, 585, 1896, 3275, 3034, 295, 520, 3481, 615, 1544, 286, 2701, 6592, 519, 30380, 6057, 540, 513, 3032, 1317, 1352, 729, 27337, 1881, 676, 1018, 1352, 4718, 269, 634, 1249, 602, 1352, 729, 5423, 547, 2594, 519, 10071, 9244, 5267, 621, 7012, 1406, 519, 1101, 540, 922, 2186, 563, 763, 2067, 2243, 568, 281, 1548, 1185, 8298, 534, 16957, 569, 2944, 538, 519, 2250, 602, 1131, 5401, 623, 761, 339, 547, 2594, 1864, 286, 654, 29552, 312, 4769, 1406, 2307, 602, 2243, 269, 5502, 267, 693, 519, 581, 4554, 540, 8298, 534, 779, 18607, 267, 6424, 26858, 267, 519, 6728, 513, 1600, 513, 1650, 6031, 623, 761, 339, 1185, 3144, 1200, 1378, 2915, 538, 547, 581, 5701, 676, 8298, 534, 3275, 1310, 519, 5437, 10071, 609, 631, 574, 328, 519, 3032, 563, 2080, 779, 519, 17382, 21597, 3366, 324, 689, 519, 1357, 4528, 540, 654, 29552, 312, 779, 1650, 912, 15987, 1200, 5728, 10916, 3366, 547, 519, 10654, 540, 606, 23520, 1046, 16943, 267, 513, 4807, 15151, 11967, 602, 17022, 2614, 602, 1352, 2663, 4847, 1864, 547, 1521, 1200, 2915, 269, 1717, 267, 1200, 18607, 1767, 1200, 2915, 1705, 711, 4309, 2126, 267, 1498, 1352, 4682, 547, 519, 16758, 563, 12385, 1492, 9749, 267, 945, 849, 4564, 623, 761, 339, 267, 1767, 519, 5449, 9441, 11074, 676, 519, 3662, 6413, 547, 4584, 909, 1957, 1740, 543, 729, 972, 1447, 982, 476, 1015, 3764, 269, 4173, 2915, 729, 711, 5701, 972, 267, 646, 1767, 563, 15703, 654, 29552, 312, 2984, 827, 519, 10071, 849, 1331, 7648, 540, 713, 1899, 281, 968, 309, 23450, 11540, 9365, 593, 610, 827, 4989, 476, 276, 676, 513, 5449, 16758, 9441, 2982, 519, 13685, 267, 1498, 621, 568, 711, 2312, 952, 824, 6381, 8329, 1848, 1496, 10387, 3508, 529, 23600, 24358, 2005, 779, 711, 2312, 952, 824, 6381, 8329, 286, 4692, 4896, 693, 654, 29552, 312, 2285, 721, 513, 2582, 2601, 1946, 513, 16943, 2443, 513, 812, 4171, 2816, 568, 547, 1521, 2831, 2443, 1131, 24362, 267, 1793, 777, 267, 6749, 543, 1781, 651, 513, 3032, 538, 1010, 1416, 888, 2252, 519, 812, 814, 1044, 538, 2259, 2094, 476, 2735, 273, 267, 607, 1010, 18607, 3081, 267, 1287, 1310, 2185, 5756, 607, 513, 16943, 267, 12582, 1406, 646, 917, 875, 547, 1964, 1778, 513, 18901, 3032, 286, 2334, 779, 513, 2596, 267, 1898, 851, 540, 519, 2816, 267, 607, 568, 2596, 8296, 585, 18901, 543, 7092, 2831, 563, 2005, 7140, 856, 519, 7641, 6728, 729, 3274, 1612, 549, 1154, 8298, 534, 779, 18607, 267, 945, 5143, 519, 6728, 602, 519, 3381, 968, 3333, 3298, 8298, 534, 17729, 547, 6057, 513, 3032, 267, 1498, 7700, 6381, 267, 952, 1022, 267, 616, 711, 1634, 3034, 9558, 3175, 689, 21494, 17864, 701, 752, 281, 26858, 3081, 8298, 534, 7012, 1406, 705, 6748, 631, 574, 328, 267, 646, 729, 1175, 968, 1952, 8960, 547, 6057, 513, 3032, 2223, 543, 16310, 267, 519, 3032, 1590, 723, 2944, 1945, 547, 17330, 621, 563, 2171, 2461, 2386, 602, 779, 1360, 15260, 1005, 547, 8298, 534, 779, 7218, 281, 968, 28989, 267, 649, 1185, 547, 10726, 519, 2479, 331, 1516, 524, 1905, 856, 540, 707, 2915, 1317, 646, 4769, 1406, 899, 1373, 593, 519, 981, 3349, 267, 596, 917, 875, 621, 568, 269, 2334, 3580, 581, 1269, 7742, 585, 519, 6514, 543, 1776, 1269, 10219, 585, 519, 1973, 960, 3034, 309, 2678, 514, 12579, 1491, 606, 522, 987, 547, 14867, 3662, 7092, 543, 547, 2149, 3662, 1072, 543, 10304, 269, 1325, 548, 3022, 569, 705, 6748, 513, 17512, 1881, 267, 3458, 5446, 3032, 568, 24076, 538, 519, 2816, 6609, 563, 2252, 713, 562, 7360, 3190, 3085, 1406, 5401, 596, 547, 1491, 513, 17643, 267, 8298, 534, 779, 18607, 21959, 8460 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1221, 2021, 4497, 538, 4638, 2238, 269, 667, 542, 903, 639, 267, 519, 16502, 540, 519, 1404, 267, 568, 519, 5259, 5601, 540, 9174, 267, 12680, 267, 9161, 32408, 267, 543, 14364, 269, 630, 295, 15071, 1547, 769, 1018, 2081, 1522, 20195, 760, 1938, 581, 1210, 519, 7242, 538, 713, 2796, 547, 2992, 2390, 1010, 2070, 540, 23723, 1014, 543, 610, 5259, 2486, 286, 1261, 568, 791, 520, 1304, 267, 11648, 267, 543, 693, 2053, 22266, 269, 1215, 827, 8391, 513, 16419, 835, 286, 1717, 267, 667, 542, 903, 639, 568, 711, 547, 581, 11967, 269, 898, 568, 811, 513, 9880, 540, 519, 1381, 543, 20195, 760, 1938, 9727, 713, 609, 3197, 602, 2170, 609, 667, 542, 903, 639, 269, 634, 2012, 834, 303, 550, 515, 639, 2580, 607, 667, 542, 903, 639, 543, 570, 2231, 5362, 1312, 1448, 856, 267, 1797, 834, 10048, 540, 29813, 4900, 257, 543, 24283, 689, 12631, 394, 511, 14832, 15184, 14267, 19084, 267, 533, 26408, 628, 657, 267, 28194, 610, 16236, 267, 2523, 519, 16236, 3361, 676, 519, 2669, 540, 513, 6068, 835, 269, 1677, 7247, 568, 667, 542, 903, 639, 5906, 286, 23723, 2103, 941, 27052, 609, 791, 582, 775, 585, 31081, 28666, 519, 5601, 779, 1381, 269, 634, 2078, 1063, 667, 542, 903, 639, 543, 19999, 515, 639, 267, 950, 3379, 547, 930, 824, 5259, 3004, 3022, 625, 568, 538, 3294, 4401, 545, 269, 3571, 2012, 7902, 547, 1665, 1864, 585, 13357, 269, 3571, 11078, 729, 661, 701, 328, 4592, 269, 1306, 519, 14407, 2025, 6031, 4422, 267, 972, 781, 811, 982, 835, 1259, 547, 2960, 513, 3032, 269, 667, 542, 903, 639, 1185, 606, 8966, 4332, 602, 859, 10280, 519, 7411, 538, 17501, 1864, 883, 519, 10493, 1014, 20562, 515, 517, 267, 607, 1010, 3993, 729, 12054, 25279, 630, 291, 5922, 540, 27974, 16443, 1070, 513, 6180, 531, 4807, 267, 543, 1010, 4651, 28736, 267, 519, 4622, 540, 519, 10971, 269, 19999, 515, 639, 1631, 30650, 602, 513, 6512, 540, 2021, 814, 8854, 547, 519, 7823, 547, 2259, 519, 5601, 779, 32537, 282, 835, 568, 19999, 515, 639, 779, 3993, 267, 3397, 1511, 269, 634, 16105, 568, 1612, 520, 12519, 2429, 267, 609, 18923, 513, 627, 858, 540, 1016, 867, 1588, 281, 3524, 527, 584, 267, 989, 2863, 584, 267, 740, 652, 267, 1954, 332, 2863, 267, 678, 3726, 267, 7542, 2863, 584, 2443, 782, 616, 630, 785, 545, 894, 264, 13450, 540, 1292, 21291, 282, 519, 627, 858, 568, 519, 32096, 7107, 2801, 1547, 19999, 515, 639, 9583, 5156, 538, 519, 1913, 540, 1010, 3993, 543, 31225, 338, 1354, 741, 7004, 538, 8575, 523, 6758, 267, 543, 5156, 602, 1010, 23013, 267, 667, 542, 903, 639, 267, 729, 513, 6180, 531, 812, 267, 543, 513, 6180, 531, 812, 945, 729, 2348, 513, 18348, 532, 3310, 593, 782, 519, 2021, 540, 634, 15816, 269, 901, 7242, 7710, 519, 6370, 1063, 667, 542, 903, 639, 267, 945, 814, 1175, 8120, 21039, 607, 513, 24928, 267, 543, 19999, 515, 639, 267, 945, 568, 519, 1699, 14610, 540, 519, 1533, 267, 936, 519, 2749, 540, 634, 15816, 269, 19999, 515, 639, 12034, 667, 542, 903, 639, 519, 5601, 540, 1821, 5050, 15859, 633, 6612, 607, 513, 3463, 547, 519, 13416, 267, 10288, 2025, 6752, 539, 2486, 602, 19999, 515, 639, 29084, 936, 269, 4706, 1292, 1871, 568, 519, 3007, 1572, 547, 513, 4704, 676, 4419, 3780, 513, 10631, 639, 630, 611, 589, 523, 269, 5221, 540, 713, 267, 19999, 515, 639, 29802, 667, 542, 903, 639, 2073, 3206, 519, 812, 3274, 513, 1246, 518, 267, 855, 2560, 2311, 519, 1376, 267, 19999, 515, 639, 568, 18930, 539, 609, 1128, 3739, 1514, 1931, 543, 5627, 1010, 4638, 13821, 267, 782, 519, 1247, 4625, 21933, 643, 1190, 547, 1010, 3020, 1915, 269, 769, 1880, 267, 667, 542, 903, 639, 568, 856, 547, 1205, 1010, 1378, 1920, 1317, 789, 723, 5828, 593, 1864, 269, 634, 4655, 1063, 19999, 515, 639, 543, 667, 542, 903, 639, 4667, 547, 18220, 543, 5559, 520, 1125, 971, 7526, 607, 2601, 1315, 32408, 267, 18523, 1931, 1315, 5305, 689, 27047, 842, 267, 543, 1480, 6392, 270, 10143, 6392, 269, 634, 11724, 725, 540, 667, 542, 903, 1014, 2622, 769, 645, 659, 577, 2801, 543, 3203, 667, 542, 903, 639, 729, 519, 5067, 540, 28736, 267, 519, 4622, 540, 519, 10971, 267, 543, 12054, 25279, 267, 519, 8250, 540, 3751, 27974, 16443, 540, 634, 15816, 267, 543, 646, 729, 519, 2063, 5601, 602, 2968, 606, 10493, 1014, 269, 29191, 573, 781, 4528, 11651, 2471, 689, 20195, 760, 1938, 262, 960, 538, 1896, 2127, 269, 1323, 606, 13499, 667, 542, 903, 639, 3361, 19999, 515, 639, 262, 3993, 3397, 1511, 543, 1010, 31225, 338, 769, 334, 543, 4201, 517, 334, 25612, 267, 2059, 609, 782, 519, 824, 2021, 540, 634, 15816, 267, 547, 19060, 547, 6778, 595, 603, 320, 518, 517, 538, 513, 645, 659, 577, 545, 535, 1066, 5414, 269, 1703, 568, 606, 11606, 540, 11006, 11052, 538, 634, 645, 659, 577, 2801, 267, 2523, 1713, 538, 19999, 515, 639, 685, 4638, 1065, 1833, 543, 1010, 2078, 609, 667, 542, 903, 639, 269, 1809, 519, 1187, 3085, 1405, 3247, 972, 269, 667, 542, 903, 639, 1185, 606, 8966, 4332, 799, 3361, 1864, 547, 2560, 17488, 476, 5379, 280, 264, 547, 519, 19999, 515, 639, 540, 623, 659, 12320, 3780, 267, 538, 799, 589, 1723, 26347, 729, 519, 2012, 540, 519, 1246, 518, 540, 667, 542, 903, 639, 945, 729, 4547, 607, 513, 26956, 547, 19999, 515, 639, 269, 1677, 1377, 513, 2749, 267, 711, 609, 1010, 10143, 7060, 855, 676, 519, 1202, 534, 640, 540, 1010, 13794, 1862, 5606, 21719, 609, 713, 16023, 11006, 11052, 538, 519, 645, 659, 577, 2801, 945, 10847, 1864, 32537, 267, 1141, 4397, 269, 20553, 513, 536, 659, 2559, 531, 5259, 5601, 540, 9174, 267, 12680, 267, 9161, 32408, 267, 543, 14364, 7664, 540, 519, 1404, 1101, 269, 3657, 1101, 30980, 945, 2611, 1114, 1317, 835, 568, 513, 5601, 543, 519, 15831, 15053, 8205, 18190, 19088, 1108, 11359, 7160, 543, 269, 1763, 793, 338, 538, 3870, 540, 1864, 1010, 3541, 6548, 13794, 2185, 27139, 18627, 616, 782, 23511, 1656, 971, 602, 667, 542, 903, 639, 19299, 891, 1920, 2818, 568, 19999, 515, 639, 267, 24320, 2213, 607, 3463, 256, 3509, 824, 5259, 3004, 3022, 625, 568, 538, 3294, 4401, 545, 547, 19439, 1346, 945, 3442, 711, 547, 3494, 1200, 12630, 269, 2334, 1200, 9393, 729, 2965, 28736, 540, 1864, 513, 11426, 4828, 13018, 2690, 1411, 1152, 256, 2986, 1018, 568, 1634, 827, 20008, 515, 639, 543, 546, 542, 903, 639, 2078, 1915, 2501, 689, 519, 7664, 540, 519, 2146, 602, 2636, 1864, 581, 256, 654, 11208, 1864, 645, 659, 577, 2801, 267, 2523, 1713, 538, 19999, 515, 639, 11313, 4638, 1065, 1833, 543, 1010, 2078, 609, 667, 542, 903, 639, 1412, 547, 256, 5510, 543, 1287, 519, 1895, 547, 516, 1010, 17145, 6306, 609, 741, 11953, 3946, 19999, 515, 639, 630, 6902, 1862, 476, 23841, 590, 269, 700, 269, 20831, 1299, 717, 269, 15107, 345, 1676, 267, 18190, 19088, 1108, 11359, 7160, 1909, 540, 8951, 538, 5259, 28011, 667, 542, 903, 639, 2392, 919, 645, 659, 577, 639, 543, 1082, 824, 5259, 10971, 676, 7366, 952, 711, 5176, 513, 8536, 907, 7731, 1317, 789, 723, 5828, 593, 1864, 8966, 4332, 799, 3361, 1864, 547, 11654, 543, 3310, 621, 616, 269, 7731, 2818, 568, 19999, 515, 639, 267, 950, 3379, 547, 930, 824, 5259, 10971, 676, 7366, 952, 711, 5176, 513, 1296, 256, 12054, 25279, 1412, 338, 2247, 1200, 602, 1200, 9393, 729, 2965, 28736, 7787, 543, 12703, 10143, 7060, 676, 269, 1772, 606, 11606, 540, 11006, 11052, 538, 519, 645, 659, 577, 2801, 267, 602, 19999, 515, 639, 666, 1152, 5326, 540, 607, 4622, 543, 1862, 667, 542, 903, 639, 19299, 267, 2966, 547, 1305, 519, 6429, 267, 891, 2185, 27139, 18627, 616, 782, 2962, 540, 4622, 256, 1306, 10751, 267, 667, 542, 903, 639, 3357, 547, 634, 15816, 543, 729, 513, 4622, 540, 634, 15816, 547, 1379, 1010, 269, 1772, 519, 5259, 5601, 540, 883, 343, 1709, 543, 7793, 6291, 540, 519, 1381, 543, 9727, 256, 7427, 519, 2418, 543, 3741, 602, 667, 542, 903, 639, 10039, 547, 519, 13416, 267, 10288, 2025, 6752, 539, 2486, 19999, 515, 639, 1862, 2560, 645, 659, 577, 639, 4564, 519, 22267, 1107, 7787, 543, 12703, 519, 2146, 602, 2636, 1864, 547, 581, 513, 3552, 23511, 2060, 645, 659, 577, 639, 5128, 751, 2130, 1010, 6186, 1055, 543, 1287, 519, 1895, 547, 516, 1010, 17145, 6306, 609, 741, 11953, 3946, 4622, 269, 19402, 789, 17019, 1010, 2820, 6541, 1379, 543, 2820, 6541, 945, 5205, 1864, 543, 1287, 751, 2130, 1055, 1010, 2212, 851, 540, 9161, 256, 634, 838, 31804, 21573, 16532, 11648, 267, 543, 519, 824, 6180, 531, 1010, 17145, 6306, 741, 269, 634, 1404, 267, 519, 645, 659, 577, 2801, 267, 602, 19999, 515, 639, 666, 1152, 5326, 540, 607, 4622, 4308, 609, 645, 659, 577, 639, 5128, 4323, 256, 8061, 5050, 20008, 515, 639, 543, 546, 542, 903, 639, 2078, 6612, 607, 513, 3463, 547, 3540, 5314, 10930, 543, 616, 8348, 547, 2285, 811, 585, 2078, 1862, 13536, 4362, 267, 8387, 608, 6150, 519, 2021, 689, 634, 15816, 543, 12630, 5452, 540, 8969, 538, 12054, 25279, 1412, 338, 2247, 5515, 1862, 717, 269, 15107, 345, 1676, 267, 18190, 19088, 1108, 11359, 7160, 13416, 267, 10288, 2025, 6752, 539, 2486, 602, 19999, 515, 639, 1152, 256, 19999, 515, 639, 945, 6411, 1996, 1864, 267, 3397, 1511, 945, 5205, 1864, 543, 519, 6180, 531, 256, 20195, 760, 1938, 1412, 960, 538, 1896, 2127, 267, 2966, 547, 1305, 519, 6429, 267, 891, 2185, 18627, 269, 1412, 960, 20008, 515, 639, 543, 546, 542, 903, 639, 2078, 1896, 2127, 1010, 1378, 1920, 1317, 789, 723, 5828, 593, 1864, 29191, 573, 1412, 338, 11651, 2471, 269, 6196, 2085, 538, 3870, 540, 1010, 3541, 6548, 13794, 998, 519, 18137, 2786, 883, 513, 536, 659, 2559, 531, 547, 21028, 1010, 543, 269, 14216, 6548, 13794, 543, 547, 516, 1864, 18215, 689, 18215, 630, 607, 851, 540, 513, 812, 1102, 21719, 609, 713, 16023, 19999, 515, 639, 4187, 269, 4934, 547, 22342, 593, 519, 536, 659, 577, 545, 32537, 267, 1141, 19999, 515, 639, 4397, 547, 1294, 4638, 2238, 5923, 652, 540, 519, 1975, 691, 16211, 1185, 269, 18650, 547, 667, 542, 903, 639, 543, 1010, 7766, 10751, 568, 4843, 676, 20195, 760, 1938, 607, 5205, 5601, 667, 542, 903, 639, 519, 24222, 568, 519, 5259, 5601, 540, 1821, 5050, 15859, 633, 6612, 607, 513, 1797, 547, 1346, 256, 769, 1896, 2127, 513, 3787, 568, 811, 7294, 538, 519, 1404, 1107, 19999, 515, 639, 4564, 519, 11807, 7592, 543, 971, 667, 542, 903, 639, 1862, 2560, 645, 659, 577, 639, 4564, 519, 22267, 1107, 7787, 543, 12703, 543, 616, 8348, 547, 2285, 811, 519, 1862, 589, 1187, 15962, 5601, 540, 9174, 267, 12680, 267, 9161, 32408, 267, 693, 563, 291, 8692, 7054, 3419, 566, 4826, 532, 6651, 267, 3619, 918, 11301, 1280, 22312, 14033, 2725, 15434, 12127, 4289, 267, 16258, 5253, 31204, 3883, 21584, 267, 21708, 3234, 17939, 516, 9697, 623, 3881, 16740, 267, 12229, 15339, 11657, 7151, 267, 1548, 10025, 1684, 1411, 6423, 769, 7826, 4065, 267, 769, 11431, 2861, 4804, 8249, 267, 570, 728, 623, 8962, 14033, 11968, 13353, 267, 5124, 14644, 532, 22868, 769, 623, 2317, 267, 0, 2304, 1349, 689, 14022, 625, 540, 519, 14730, 12698, 476, 7785, 268, 11793, 277, 454, 2421, 27950, 1261, 987, 454, 14338, 269, 14408, 311, 2177, 5254, 13263, 2752, 9169, 454, 314, 8450, 513, 7333, 1676, 538, 519, 570, 9200, 3780, 25360, 614, 267, 4789, 630, 310, 514, 17998, 1070, 524, 269, 10755, 271, 269, 3703, 7732, 29158, 570, 9200, 3780, 595, 17886, 2639, 14338, 320, 543, 536, 616, 15743, 4441, 267, 7960, 2899, 1586, 689, 3735, 4936, 5169, 1023, 3842, 519, 1016, 7304, 2674, 2826, 976, 563, 763, 1034, 4583, 729, 21238, 519, 4279, 781, 13642, 19785, 591, 333, 267, 519, 3044, 540, 24380, 16303, 563, 2171, 917, 602, 31611, 594, 6425, 728, 5645, 513, 15743, 3044, 1282, 1010, 11044, 1996, 595, 18133, 267, 543, 476, 273, 971, 4441, 2408, 538, 519, 7345, 324, 5060, 24135, 12960, 563, 763, 8585, 857, 534, 29017, 976, 1932, 3100, 547, 723, 1031, 513, 11344, 15743, 3044, 267, 3751, 589, 564, 3559, 4472, 323, 2348, 835, 693, 8738 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1018, 594, 10205, 269, 594, 15646, 8784, 621, 609, 26845, 269, 1677, 3801, 547, 11677, 621, 1131, 581, 1165, 569, 269, 594, 1463, 596, 547, 21907, 713, 26035, 609, 519, 2136, 2276, 269, 1684, 711, 1256, 24098, 519, 12625, 540, 6004, 269, 3933, 19172, 282, 723, 606, 5967, 713, 1360, 1554, 609, 6004, 269, 12389, 7723, 282, 855, 594, 2154, 513, 1390, 4308, 540, 2724, 585, 713, 2112, 267, 543, 594, 1131, 711, 899, 547, 30134, 621, 609, 1007, 7418, 269, 594, 1616, 15823, 6634, 267, 543, 585, 1447, 982, 602, 2040, 594, 786, 711, 1521, 269, 1677, 2173, 6563, 596, 4927, 723, 707, 2407, 7060, 4799, 763, 14012, 31372, 563, 257, 16031, 269, 3933, 19172, 568, 593, 519, 1448, 540, 21945, 2437, 4797, 19167, 269, 834, 10468, 2416, 713, 14012, 267, 6862, 1010, 26393, 267, 568, 5423, 585, 513, 3375, 799, 4422, 28222, 3564, 4376, 789, 616, 827, 547, 2307, 540, 721, 269, 10670, 676, 1818, 873, 16765, 999, 267, 1510, 1022, 1016, 614, 325, 4007, 269, 21733, 5593, 803, 267, 5662, 676, 5662, 267, 540, 707, 3356, 4799, 30948, 786, 596, 2628, 585, 782, 17039, 8119, 31555, 569, 4280, 15016, 2946, 5336, 541, 2692, 529, 602, 1554, 540, 519, 22035, 1639, 12389, 7723, 563, 257, 5472, 17039, 256, 1715, 20252, 568, 782, 594, 2307, 585, 2437, 12943, 12389, 7723, 269, 1924, 1279, 1185, 13669, 2917, 8681, 959, 604, 1194, 543, 13587, 1882, 267, 519, 1977, 1336, 5128, 1253, 6412, 995, 540, 891, 3943, 17009, 520, 1235, 563, 257, 3719, 594, 2709, 519, 11662, 2437, 1767, 15016, 2946, 5336, 541, 2692, 529, 563, 20776, 1440, 2213, 267, 8969, 995, 267, 12389, 7723, 19557, 269, 834, 296, 723, 711, 519, 2556, 533, 7640, 619, 4799, 763, 1985, 1554, 3933, 19172, 8452, 563, 257, 2467, 1590, 581, 554, 4292, 610, 519, 2296, 786, 581, 693, 1715, 20252, 2437, 1767, 15016, 2946, 5336, 541, 2692, 529, 269, 834, 1692, 1454, 786, 596, 2628, 585, 519, 2898, 11662, 24350, 10454, 2296, 286, 17823, 10117, 6634, 2437, 12943, 519, 4892, 563, 257, 24823, 622, 17039, 607, 4166, 607, 2009, 883, 707, 5742, 2437, 1767, 19167, 267, 834, 326, 633, 547, 922, 11317, 519, 1482, 2924, 267, 22864, 267, 543, 6375, 885, 607, 547, 824, 4961, 540, 519, 2136, 2276, 563, 257, 4517, 1577, 873, 917, 602, 649, 5094, 6000, 689, 873, 609, 26845, 282, 1577, 873, 11677, 585, 721, 27742, 540, 15754, 282, 543, 949, 741, 1455, 5169, 267, 16350, 267, 1893, 267, 543, 9821, 28511, 519, 11505, 4799, 763, 4574, 941, 6537, 909, 543, 9896, 538, 3943, 543, 538, 2296, 563, 20442, 723, 5030, 1279, 267, 855, 713, 568, 519, 8821, 23057, 960, 540, 938, 2729, 10590, 608, 13094, 12389, 7723, 267, 607, 646, 543, 15016, 2946, 5336, 541, 2692, 529, 543, 3933, 19172, 21256, 543, 695, 809, 3946, 2066, 519, 3561, 563, 21893, 1569, 542, 540, 8513, 18791, 585, 2479, 519, 1379, 540, 519, 2136, 2276, 2437, 1767, 19167, 267, 4947, 538, 547, 1413, 693, 519, 14097, 269, 1656, 607, 646, 3413, 12089, 602, 15040, 267, 834, 301, 777, 1961, 517, 2437, 646, 20493, 267, 1765, 257, 296, 723, 1175, 2016, 547, 4789, 513, 17535, 15180, 267, 602, 19692, 610, 2663, 786, 18803, 1200, 11348, 4799, 4517, 593, 602, 1554, 519, 14967, 729, 8118, 267, 547, 581, 6806, 676, 513, 4914, 1379, 1100, 811, 585, 2479, 563, 3719, 1100, 19692, 1185, 19167, 851, 539, 609, 17039, 982, 646, 3459, 547, 1065, 550, 269, 834, 295, 770, 523, 2437, 519, 26110, 19230, 16962, 267, 834, 1492, 13581, 652, 8488, 949, 6336, 721, 519, 2197, 4799, 763, 2262, 6603, 3013, 563, 257, 297, 27889, 3205, 1765, 321, 4454, 1715, 20252, 286, 11751, 519, 14967, 286, 11751, 519, 3003, 3808, 1652, 4639, 24350, 24464, 3154, 6244, 267, 1287, 1750, 1229, 269, 570, 636, 738, 6681, 10761, 25626, 519, 2244, 269, 2201, 5147, 476, 274, 267, 476, 5197, 274, 267, 606, 10867, 6243, 554, 19982, 519, 9533, 267, 593, 5147, 476, 275, 267, 513, 1158, 1379, 30230, 4771, 519, 7414, 2336, 21202, 20476, 664, 10590, 524, 3072, 519, 25743, 563, 257, 4462, 6247, 6627, 10590, 12943, 519, 8549, 1235, 563, 10454, 5101, 786, 1831, 1244, 641, 4327, 4799, 257, 293, 604, 10117, 6634, 256, 17823, 10117, 6634, 585, 602, 19069, 256, 4208, 267, 602, 1131, 581, 9748, 540, 2724, 256, 654, 12000, 517, 13907, 540, 8988, 2947, 5195, 1279, 269, 1284, 723, 711, 865, 1454, 11777, 538, 519, 2898, 2197, 30882, 15578, 918, 301, 20846, 5508, 5990, 18040, 25492, 32764, 27516, 454, 4517, 8585, 12685, 5930, 11066, 729, 4712, 547, 1376, 269, 634, 3781, 1354, 519, 19549, 540, 5147, 646, 5206, 1010, 3993, 912, 10454, 1554, 1310, 547, 2173, 6563, 594, 4927, 1305, 856, 585, 519, 7262, 2197, 269, 594, 1185, 7229, 593, 519, 12257, 540, 9683, 596, 267, 855, 6381, 723, 21235, 621, 7543, 269, 3733, 9000, 786, 4440, 581, 3160, 547, 19939, 610, 29933, 3275, 269, 634, 2470, 540, 713, 16939, 568, 676, 1100, 1797, 5906, 269, 3733, 8905, 786, 581, 15587, 998, 11031, 540, 12075, 7874, 547, 519, 2136, 2276, 267, 4061, 594, 2015, 519, 8458, 540, 1272, 1175, 607, 1454, 538, 1250, 12797, 607, 594, 1058, 32230, 873, 941, 594, 547, 2611, 693, 1753, 269, 634, 5279, 540, 713, 16939, 568, 4378, 24461, 547, 8885, 267, 607, 621, 568, 1271, 547, 1250, 2197, 269, 1280, 922, 3170, 580, 1132, 594, 1745, 8885, 9985, 5423, 267, 6862, 798, 594, 8969, 1250, 1072, 543, 4222, 540, 11156, 547, 7703, 803, 998, 621, 269, 594, 979, 609, 519, 1034, 3501, 840, 8410, 341, 2109, 538, 1250, 1378, 2247, 540, 13059, 2922, 267, 543, 4126, 4061, 602, 596, 786, 711, 7985, 3054, 547, 32696, 1022, 4160, 585, 1250, 3106, 267, 1765, 296, 786, 2328, 1586, 593, 1250, 12625, 693, 26352, 7921, 269, 1520, 24586, 267, 543, 3494, 803, 707, 15754, 622, 5067, 2676, 763, 16962, 6690, 1185, 8120, 547, 741, 5321, 269, 667, 14709, 23885, 543, 11427, 269, 11829, 11294, 24892, 519, 13549, 8257, 267, 2348, 1500, 834, 5264, 342, 1161, 257, 2614, 547, 3514, 856, 513, 31458, 269, 9478, 14943, 514, 267, 519, 12403, 731, 267, 5280, 11066, 3640, 1010, 28378, 267, 14199, 11829, 11294, 8329, 513, 4786, 540, 26551, 781, 17250, 540, 519, 12052, 5023, 267, 543, 23885, 21235, 1010, 851, 532, 1649, 539, 2109, 563, 11073, 540, 519, 4401, 10766, 538, 519, 1164, 4224, 3774, 538, 4395, 540, 519, 6519, 5600, 8585, 12685, 5930, 4682, 267, 1765, 7257, 30118, 540, 519, 1762, 6243, 267, 28489, 543, 1396, 515, 267, 1799, 659, 3634, 538, 1007, 7833, 543, 1614, 2275, 1941, 1229, 669, 1901, 879, 267, 1010, 13566, 5394, 1532, 571, 3660, 20313, 9991, 936, 519, 1164, 2275, 3326, 1563, 10359, 267, 1765, 1729, 2743, 519, 8000, 558, 659, 17142, 585, 22489, 781, 12113, 787, 269, 2353, 1472, 941, 4608, 583, 7733, 267, 4688, 519, 2370, 21757, 540, 6115, 267, 543, 909, 519, 16813, 14141, 748, 15113, 21401, 606, 11995, 5836, 540, 3529, 2389, 3591, 563, 763, 2842, 6926, 342, 909, 519, 8000, 558, 659, 267, 1166, 32211, 519, 5518, 781, 12457, 25437, 269, 834, 2252, 513, 9120, 3196, 1058, 581, 5044, 539, 1996, 707, 8574, 267, 2132, 267, 8585, 12685, 5930, 2437, 729, 519, 14221, 851, 532, 2262, 269, 834, 2414, 707, 1378, 24787, 1590, 581, 2451, 519, 4110, 540, 8594, 596, 949, 1981, 4799, 3719, 8585, 12685, 5930, 1185, 1100, 12194, 563, 257, 19675, 596, 3914, 519, 7414, 7909, 267, 1765, 29868, 822, 712, 547, 1451, 952, 972, 581, 1022, 2823, 1369, 707, 3914, 2505, 5034, 676, 4262, 268, 1407, 17632, 540, 1022, 4182, 267, 543, 547, 6494, 1079, 540, 707, 11967, 1004, 1394, 676, 4262, 267, 609, 513, 5299, 540, 707, 4967, 269, 9701, 596, 581, 540, 6644, 602, 519, 2132, 540, 707, 5428, 676, 519, 1259, 789, 4682, 786, 581, 5906, 267, 1287, 6928, 519, 2898, 267, 543, 2132, 676, 1259, 540, 15729, 24125, 610, 519, 15729, 540, 6153, 16593, 269, 1306, 596, 786, 581, 1510, 2724, 267, 9660, 610, 14074, 267, 594, 2285, 596, 713, 1930, 4484, 540, 5491, 2278, 2358, 596, 547, 2721, 593, 519, 15445, 540, 519, 2136, 2276, 610, 1022, 540, 922, 10492, 538, 1022, 851, 540, 519, 1158, 269, 3776, 931, 6160, 693, 15506, 822, 807, 538, 10084, 267, 693, 519, 1772, 956, 540, 5333, 543, 25816, 2548, 267, 543, 693, 519, 15729, 540, 6153, 16593, 786, 581, 2111, 547, 3761, 596, 29476, 676, 31585, 593, 721, 4799, 2690, 1141, 538, 519, 1158, 519, 16713, 3366, 267, 1100, 812, 1287, 6785, 2336, 19285, 723, 3006, 2219, 540, 11488, 513, 6928, 1472, 547, 596, 2437, 1767, 16962, 267, 834, 8117, 519, 1975, 8643, 1841, 1131, 581, 1978, 547, 979, 321, 1076, 621, 267, 543, 649, 616, 538, 8373, 2614, 609, 873, 2907, 936, 713, 17039, 27619, 4799, 32451, 1134, 11066, 6785, 519, 29535, 2329, 540, 519, 3510, 269, 8050, 729, 593, 3595, 936, 519, 30217, 344, 540, 19167, 269, 834, 293, 8896, 814, 1100, 1318, 547, 9813, 622, 17039, 10590, 729, 519, 3956, 689, 28925, 269, 1809, 1018, 1223, 1352, 798, 286, 23875, 855, 535, 2541, 267, 8488, 267, 21279, 267, 1765, 301, 777, 1961, 517, 729, 4487, 563, 257, 15152, 1459, 6381, 2437, 4797, 519, 5518, 267, 834, 296, 2015, 13777, 850, 782, 4674, 547, 1205, 513, 6928, 547, 707, 13151, 712, 593, 1346, 24528, 269, 8050, 1131, 581, 1152, 1932, 19914, 547, 10880, 513, 9514, 269, 1809, 972, 1590, 581, 4123, 267, 972, 568, 4123, 267, 1765, 718, 998, 17566, 781, 7245, 519, 28592, 941, 5360, 8724, 540, 25463, 27365, 1236, 26802, 593, 602, 22070, 5032, 563, 257, 305, 17892, 814, 29211, 721, 267, 594, 949, 1289, 519, 14890, 1250, 2123, 3659, 1701, 2060, 533, 30972, 762, 11348, 519, 5518, 2219, 540, 519, 11861, 540, 12138, 936, 1010, 1353, 7450, 693, 8053, 545, 10314, 269, 834, 15987, 21965, 1705, 6494, 4057, 700, 9037, 731, 1394, 267, 12138, 814, 9863, 5128, 3020, 267, 543, 538, 2013, 1022, 6739, 6928, 18953, 1346, 24528, 596, 616, 2922, 267, 610, 2296, 267, 610, 1977, 269, 901, 4484, 540, 5491, 786, 4163, 596, 998, 563, 257, 4517, 1657, 782, 267, 2769, 1250, 24960, 545, 2543, 585, 519, 12075, 269, 5274, 640, 679, 14765, 1231, 721, 547, 4001, 873, 6683, 543, 519, 6469, 6575, 4799, 4517, 1310, 11066, 729, 9425, 3323, 267, 519, 5518, 2366, 593, 607, 513, 1390, 5728, 267, 834, 296, 723, 4607, 2262, 689, 8303, 602, 6004, 269, 645, 893, 2023, 267, 835, 540, 519, 15274, 540, 18279, 26551, 267, 4682, 909, 12052, 5211, 835, 4627, 5195, 538, 5412, 267, 476, 9692, 273, 269, 1261, 11074, 693, 513, 1448, 646, 3957, 26551, 269, 3371, 519, 5757, 12052, 568, 1869, 513, 10116, 540, 513, 13304, 2647, 269, 3245, 713, 1448, 24398, 269, 32431, 568, 2938, 8938, 682, 8046, 11397, 267, 799, 568, 4440, 513, 21341, 540, 519, 853, 3415, 15142, 269, 20504, 1250, 15754, 622, 2892, 20706, 4799, 4002, 519, 19549, 540, 5147, 519, 1482, 1688, 602, 16668, 909, 519, 16672, 540, 14412, 1185, 6537, 585, 8585, 12685, 5930, 11066, 513, 14594, 540, 15894, 267, 2278, 2358, 1864, 547, 6718, 4376, 646, 2877, 593, 519, 5491, 540, 519, 2136, 2276, 538, 1022, 851, 540, 519, 1158, 269, 12984, 16962, 3206, 540, 1346, 2395, 950, 6723, 29124, 18412, 5795, 31585, 593, 1715, 20252, 585, 519, 21037, 540, 13325, 286, 901, 1586, 729, 1776, 14679, 883, 513, 4158, 7938, 9287, 4639, 563, 763, 1985, 1554, 11066, 834, 3333, 582, 782, 1010, 15963, 257, 693, 22489, 781, 12113, 787, 267, 8947, 3063, 25437, 267, 31009, 267, 9723, 1695, 1177, 802, 267, 934, 719, 516, 906, 602, 1185, 1044, 14475, 693, 1010, 2027, 4287, 269, 634, 530, 12000, 517, 518, 689, 15740, 3357, 795, 565, 1154, 676, 609, 4095, 6799, 267, 24666, 17102, 267, 543, 512, 757, 593, 519, 1259, 547, 26352, 7921, 563, 303, 527, 1206, 7921, 286, 589, 6531, 540, 8673, 8288, 1256, 1287, 936, 519, 11616, 5328, 2749, 269, 5565, 8536, 5195, 24654, 267, 621, 2907, 1185, 513, 30436, 6928, 3917, 731, 269, 11153, 1804, 8043, 2482, 593, 519, 13632, 543, 26767, 941, 17200, 532, 1554, 543, 3781, 563, 10454, 1412, 299, 537, 529, 10005, 10086, 1614, 4627, 9748, 267, 568, 7996, 585, 519, 1985, 4473, 540, 519, 5757, 2437, 1767, 513, 2269, 6137, 13545, 269, 834, 1103, 2904, 513, 18239, 540, 11634, 3019, 619, 4682, 856, 547, 519, 2961, 756, 32048, 269, 1411, 616, 1932, 3735 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3615, 540, 1644, 5049, 607, 1279, 519, 1843, 814, 606, 968, 529, 513, 892, 2078, 547, 519, 1362, 269, 4595, 1016, 5035, 525, 723, 606, 2048, 529, 8584, 685, 2078, 609, 741, 2706, 5035, 267, 649, 666, 2141, 1448, 513, 2706, 5035, 4756, 547, 513, 1016, 5035, 1843, 269, 769, 971, 2013, 513, 16213, 11346, 568, 711, 2556, 269, 1411, 17697, 569, 5641, 519, 1843, 547, 621, 779, 2706, 5035, 1175, 676, 1210, 519, 4991, 11346, 538, 606, 7084, 3948, 269, 1280, 1383, 281, 8111, 5035, 24101, 815, 1007, 4427, 5035, 3890, 282, 610, 8111, 5035, 24101, 815, 1016, 5035, 309, 541, 3248, 277, 5345, 534, 918, 2180, 1715, 3840, 2160, 595, 8463, 3615, 630, 516, 1613, 264, 2201, 519, 824, 1688, 267, 606, 1843, 26518, 676, 513, 2706, 5035, 4756, 949, 610, 949, 711, 581, 513, 1016, 5035, 1843, 269, 1677, 3801, 606, 7084, 971, 607, 281, 4427, 5035, 1016, 815, 2706, 5035, 309, 541, 282, 1411, 1590, 12799, 5641, 519, 2706, 5035, 1843, 547, 519, 1016, 5035, 1826, 269, 1280, 1383, 281, 4427, 5035, 1016, 815, 630, 8138, 5035, 264, 24101, 743, 309, 541, 282, 8074, 281, 1403, 519, 4756, 24101, 743, 309, 541, 538, 519, 1383, 1657, 568, 711, 606, 3236, 540, 4427, 5035, 267, 513, 678, 29025, 5470, 786, 2049, 563, 278, 5345, 534, 918, 2180, 1715, 3840, 2160, 595, 8463, 3615, 630, 4186, 264, 769, 1931, 547, 948, 2061, 519, 1826, 540, 678, 29025, 5470, 4330, 538, 519, 2063, 13472, 267, 10084, 814, 519, 20438, 3236, 1993, 267, 799, 568, 1031, 547, 1449, 513, 4756, 547, 1294, 952, 621, 568, 606, 3236, 540, 513, 1362, 269, 1280, 1383, 281, 630, 338, 1575, 743, 309, 541, 3236, 1993, 4427, 5035, 264, 786, 6218, 547, 3020, 952, 543, 1152, 952, 24101, 743, 309, 541, 8100, 606, 3236, 540, 1362, 4427, 5035, 269, 1924, 649, 666, 1449, 513, 4756, 547, 1294, 952, 621, 568, 606, 3236, 540, 513, 1362, 1354, 649, 1118, 606, 8763, 5641, 269, 1280, 1383, 281, 952, 630, 338, 1575, 743, 309, 541, 3236, 1993, 4427, 5035, 264, 4427, 5035, 1016, 815, 630, 8138, 5035, 264, 24101, 743, 309, 541, 282, 4024, 2760, 2014, 513, 678, 29025, 5470, 1317, 519, 7084, 786, 1152, 4755, 538, 519, 2680, 602, 24101, 743, 309, 541, 568, 606, 3236, 540, 4427, 5035, 563, 299, 21628, 779, 1383, 1403, 649, 1711, 513, 2983, 6248, 30606, 4756, 267, 649, 666, 968, 4812, 892, 621, 547, 513, 25351, 4120, 610, 513, 17781, 269, 1107, 2171, 666, 1569, 2901, 17781, 779, 547, 21803, 3890, 1505, 610, 25351, 4120, 779, 547, 21803, 3890, 1505, 998, 519, 4704, 4756, 269, 1107, 1432, 952, 649, 4941, 547, 1569, 835, 540, 741, 1205, 22704, 3890, 2409, 888, 1220, 274, 623, 1370, 823, 8065, 267, 5549, 269, 2353, 2924, 11603, 269, 476, 280, 17593, 26643, 543, 10613, 17593, 5049, 1107, 6701, 2706, 5035, 525, 630, 21406, 7493, 2706, 5035, 525, 264, 1107, 4692, 2254, 581, 8216, 7007, 1107, 1103, 14814, 1016, 5035, 525, 6445, 538, 834, 332, 1170, 532, 4773, 257, 22493, 5049, 1107, 4692, 581, 8216, 7007, 1107, 25363, 618, 1169, 1505, 789, 17551, 1107, 17809, 728, 25727, 454, 1220, 274, 623, 1370, 823, 8065, 267, 5549, 269, 2353, 2924, 11603, 269, 476, 1015, 17593, 26643, 543, 10613, 630, 6944, 4700, 17593, 5049, 711, 2838, 267, 855, 2569, 7817, 3009, 29444, 1677, 1118, 513, 1362, 7493, 1107, 5719, 743, 732, 609, 20438, 7493, 1107, 3519, 1555, 835, 610, 811, 7493, 2409, 1857, 7493, 20704, 1205, 22704, 3890, 282, 1107, 20082, 2409, 3143, 6388, 267, 1590, 581, 936, 337, 5200, 454, 1220, 274, 623, 1370, 823, 8065, 267, 5549, 269, 2353, 2924, 11603, 269, 476, 1556, 476, 1015, 269, 278, 8865, 5530, 281, 9796, 2651, 3590, 4635, 2717, 2096, 6973, 1143, 8073, 513, 2628, 2651, 1982, 1107, 8196, 7493, 2409, 543, 26340, 1143, 9046, 3948, 1107, 275, 2010, 540, 5520, 267, 6976, 12353, 6428, 926, 539, 630, 325, 12089, 14057, 267, 1100, 2339, 519, 3108, 264, 28914, 569, 630, 1478, 5503, 1496, 285, 2412, 3108, 316, 17188, 942, 543, 513, 3368, 264, 8189, 630, 335, 4660, 6871, 540, 6455, 264, 12476, 13807, 639, 10687, 3939, 630, 19668, 14057, 1341, 6871, 540, 6455, 264, 1107, 289, 1601, 6499, 547, 6318, 2628, 676, 476, 1015, 14999, 1220, 274, 623, 1370, 823, 8065, 267, 5549, 269, 2353, 2924, 11603, 269, 476, 1321, 476, 1015, 269, 280, 8865, 5530, 281, 9796, 2651, 3590, 4635, 2717, 2096, 6973, 1143, 8111, 5035, 31287, 1107, 20082, 1505, 15271, 630, 4958, 5281, 2628, 264, 7493, 1317, 991, 547, 917, 9441, 1826, 2052, 2254, 5173, 585, 13598, 9441, 1107, 8448, 5049, 8831, 31287, 31287, 6428, 926, 539, 32715, 2465, 295, 712, 569, 32715, 2465, 8333, 2153, 32715, 2465, 12476, 31936, 8333, 2153, 32715, 2465, 454, 27237, 292, 1323, 7493, 1505, 3112, 581, 8659, 538, 513, 1875, 629, 5724, 1362, 269, 1403, 513, 1016, 5035, 540, 606, 7493, 2706, 5035, 1281, 711, 2936, 782, 519, 7493, 2409, 267, 519, 1016, 5035, 1590, 581, 10294, 7493, 269, 769, 824, 1913, 267, 538, 513, 1875, 629, 5724, 1016, 5035, 6905, 689, 606, 7493, 1362, 267, 782, 519, 7493, 2409, 1590, 581, 8045, 267, 1256, 952, 789, 616, 711, 1031, 538, 519, 1016, 5035, 269, 14645, 281, 9149, 836, 454, 27237, 292, 589, 1016, 5035, 666, 581, 7493, 1256, 952, 922, 2706, 5035, 568, 6405, 269, 1280, 1383, 267, 538, 519, 1433, 267, 519, 8629, 1362, 568, 6405, 267, 855, 922, 1016, 5035, 525, 267, 971, 607, 2983, 6248, 30606, 267, 949, 581, 7493, 269, 14645, 281, 9149, 836, 454, 27237, 292, 1411, 3112, 1711, 606, 3236, 689, 606, 7493, 1362, 1210, 519, 1007, 11346, 267, 855, 606, 7493, 1362, 666, 581, 1031, 607, 513, 1239, 1826, 269, 4475, 267, 519, 1739, 3948, 267, 799, 5932, 606, 5044, 4171, 2609, 616, 540, 2983, 6248, 30606, 1826, 799, 568, 606, 7493, 1362, 267, 568, 2953, 630, 5408, 1433, 1040, 2983, 6248, 30606, 2520, 334, 815, 1007, 2983, 6248, 30606, 282, 14645, 281, 9149, 836, 454, 1626, 5345, 534, 918, 2180, 1715, 3840, 2160, 25674, 11006, 634, 10084, 14044, 10724, 568, 3743, 585, 11006, 519, 2953, 1505, 547, 519, 1505, 1289, 693, 2196, 942, 269, 0, 13706, 519, 1840, 540, 476, 1428, 269, 275, 547, 476, 2764, 269, 1548, 1131, 513, 22301, 2161, 519, 2626, 568, 286, 1548, 1131, 513, 10196, 2161, 286, 3807, 1518, 519, 3744, 2626, 267, 711, 8806, 19696, 519, 4341, 267, 855, 7713, 621, 563, 3721, 476, 272, 540, 476, 274, 454, 6637, 476, 1704, 281, 31834, 540, 589, 23869, 4982, 9902, 6319, 16200, 32690, 2291, 607, 5094, 12274, 538, 3070, 634, 5871, 16927, 517, 6356, 6333, 513, 3070, 540, 1035, 2045, 3679, 1403, 21449, 622, 9357, 267, 8863, 2910, 302, 2073, 568, 3773, 547, 519, 3070, 267, 2274, 30942, 601, 1512, 3081, 519, 476, 274, 11466, 786, 6521, 547, 519, 2451, 267, 2495, 519, 5250, 540, 1035, 2045, 3679, 786, 581, 23163, 543, 519, 670, 5834, 786, 6175, 968, 763, 6708, 540, 9357, 1436, 540, 513, 4617, 23386, 568, 8519, 676, 4946, 513, 2178, 23386, 547, 3070, 602, 814, 606, 9357, 538, 1455, 609, 519, 4617, 23386, 892, 5871, 9357, 11466, 2042, 616, 12193, 13974, 547, 824, 11466, 2042, 630, 21201, 7515, 264, 1717, 267, 519, 3355, 5834, 540, 519, 1455, 9357, 630, 5228, 519, 6070, 264, 1590, 581, 2808, 11370, 325, 454, 12041, 281, 24697, 590, 269, 2098, 636, 323, 22844, 454, 1607, 1837, 6668, 3391, 729, 2813, 585, 519, 1837, 281, 11061, 267, 7160, 281, 476, 279, 269, 11061, 729, 2854, 676, 543, 568, 2404, 547, 519, 9768, 281, 476, 7818, 4962, 275, 278, 1321, 276, 3953, 280, 269, 634, 2407, 1900, 8386, 9912, 3070, 547, 1966, 281, 476, 1704, 689, 3184, 281, 476, 272, 729, 12943, 676, 2073, 938, 1283, 11061, 3070, 4274, 593, 476, 1556, 270, 1428, 270, 1704, 267, 476, 6860, 281, 1839, 15014, 269, 4595, 519, 3070, 547, 476, 1704, 689, 476, 272, 3184, 729, 12943, 267, 811, 982, 476, 3607, 277, 1053, 723, 9763, 519, 2407, 1900, 8386, 9912, 2626, 269, 901, 2407, 3070, 6227, 519, 1739, 1883, 5396, 281, 8382, 267, 2161, 267, 22301, 267, 2015, 267, 7713, 269, 901, 27763, 1837, 6668, 3391, 6227, 476, 2420, 11271, 267, 543, 476, 29579, 278, 3435, 269, 634, 2626, 547, 968, 13706, 519, 1840, 540, 476, 1428, 269, 275, 547, 476, 2764, 269, 1548, 1131, 513, 22301, 2161, 519, 2626, 568, 286, 1548, 1131, 513, 10196, 2161, 286, 3807, 1518, 519, 3744, 2626, 267, 711, 8806, 19696, 519, 4341, 267, 855, 7713, 621, 1848, 568, 7745, 1524, 883, 513, 1297, 540, 2653, 547, 1246, 3268, 267, 543, 476, 3953, 1913, 269, 0, 23177, 568, 8149, 547, 14027, 267, 5807, 267, 543, 5009, 519, 1646, 543, 3498, 540, 6046, 9443, 543, 4066, 547, 4324, 2486, 563, 18439, 519, 1082, 3096, 585, 6046, 2257, 543, 922, 1764, 593, 1648, 267, 519, 1604, 267, 3782, 267, 1426, 267, 543, 811, 563, 5719, 1260, 3939, 532, 1299, 7025, 7070, 454, 763, 5692, 540, 519, 1546, 1260, 3939, 532, 543, 7025, 7070, 630, 291, 2464, 264, 10406, 568, 547, 3895, 519, 1646, 543, 946, 540, 1346, 1983, 543, 4066, 2404, 609, 519, 946, 540, 6046, 1648, 543, 519, 6099, 2359, 543, 19642, 540, 519, 1604, 267, 4264, 1646, 267, 1232, 2174, 2153, 532, 267, 32598, 267, 556, 583, 16478, 267, 543, 1279, 3856, 13178, 543, 5826, 540, 6046, 5829, 19698, 267, 543, 4609, 269, 634, 3077, 5304, 585, 713, 4674, 568, 519, 15376, 540, 519, 10406, 267, 519, 5980, 267, 543, 519, 1857, 693, 1804, 563, 1708, 272, 9906, 10985, 454, 19688, 476, 279, 1700, 1015, 267, 476, 1708, 272, 454, 763, 11621, 9730, 568, 3743, 585, 519, 1646, 543, 5826, 540, 17319, 13618, 4441, 602, 2232, 519, 1374, 267, 2079, 267, 543, 5106, 540, 3334, 267, 1949, 267, 543, 6703, 1644, 547, 519, 3498, 540, 6046, 2257, 543, 2029, 269, 4855, 856, 1548, 779, 1715, 267, 2638, 856, 519, 11621, 15188, 267, 610, 5192, 12833, 9407, 2221, 2336, 30238, 18225, 12983, 454, 30238, 4750, 12983, 454, 301, 13086, 3163, 543, 7177, 454, 293, 4288, 3163, 543, 5303, 454, 17764, 1470, 14130, 16018, 547, 4735, 531, 6046, 2030, 24307, 454, 5475, 3275, 540, 28336, 3646, 676, 11882, 1876, 16234, 547, 25077, 609, 519, 2887, 719, 689, 670, 11065, 269, 476, 277, 9789, 1631, 19899, 13904, 6046, 24307, 3915, 9896, 883, 1876, 538, 476, 1001, 280, 9789, 1533, 779, 6845, 622, 593, 4728, 476, 274, 5293, 513, 2268, 267, 590, 11065, 269, 476, 4510, 267, 547, 4735, 531, 1346, 24307, 269, 634, 8917, 729, 476, 3953, 1700, 271, 563, 2690, 1346, 945, 949, 991, 22348, 267, 5313, 21991, 12781, 593, 5147, 476, 2641, 267, 476, 1708, 271, 267, 18486, 32632, 5600, 14516, 267, 1287, 10584, 540, 519, 11882, 5600, 267, 543, 2185, 25211, 1235, 543, 2797, 29801, 585, 741, 9525, 538, 606, 16957, 1269, 8618, 2929, 13313, 543, 24646, 23176, 1359, 10325, 6322, 693, 10018, 532, 8574, 540, 670, 11065, 269, 476, 277, 267, 4171, 24307, 1185, 6854, 11882, 779, 16026, 5174, 525, 572, 543, 31473, 6046, 1379, 2371, 689, 16349, 19479, 563, 295, 11065, 269, 476, 277, 3964, 513, 5722, 4458, 1982, 547, 5279, 519, 1533, 779, 5201, 6800, 12375, 547, 1489, 11033, 540, 827, 1269, 5611, 2929, 12422, 547, 519, 2371, 685, 11346, 267, 6052, 23320, 15278, 267, 1287, 1634, 607, 3689, 21328, 10298, 630, 293, 2464, 1040, 674, 2464, 1185, 9307, 538, 4728, 476, 1001, 279, 602, 621, 1131, 581, 7142, 547, 2673, 16026, 5174, 525, 572, 543, 31473, 1510, 930, 1106, 540, 1489, 689, 519, 1533, 269, 630, 763, 11033, 547, 6052, 23320, 941, 17808, 2063, 5412, 676, 606, 11882, 10966, 7040, 3614, 4233, 267, 799, 1264, 7757, 606, 4505, 2539, 5480, 15194, 8094, 306, 10235, 328, 966, 269, 27550, 30795, 28325, 630, 736, 305, 1724, 994, 293, 4288, 3163, 543, 5303, 1923, 11730, 476, 7906, 1923, 7089, 476, 273, 1923, 5988, 476, 1220, 278, 1923, 9664, 476, 5002, 268, 4572, 454, 20007, 673, 7433, 1923, 7046, 25080, 7010, 585, 26736, 2742, 4762, 710, 618, 1923, 15848, 269, 8742, 3820, 270, 1015, 269, 14530, 11025, 22077, 4306, 5881, 5025, 16328, 278, 454, 9209, 2873, 616, 18799, 676, 13177, 543, 14731, 6732, 563, 293, 1752, 20328, 19383, 630, 293, 13612, 1070, 607, 11604, 6191, 723, 1044, 2919, 607, 2241, 11919, 30693, 1949, 269, 674, 13612, 4646, 676, 10941, 532, 540, 6419, 2361, 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 ]
[ 1556, 543, 7283, 593, 4604, 585, 476, 2537, 2395, 269, 901, 729, 519, 1101, 942, 538, 519, 1686, 540, 2230, 325, 2775, 602, 513, 2230, 6728, 1185, 1044, 812, 2740, 267, 543, 513, 1007, 2594, 942, 729, 1305, 538, 2230, 269, 901, 1967, 729, 267, 2705, 267, 2110, 24331, 950, 519, 12284, 729, 7166, 1282, 556, 268, 18782, 267, 607, 513, 2604, 268, 16029, 1436, 11896, 538, 519, 590, 1195, 15120, 476, 1556, 556, 268, 18782, 23555, 1185, 8118, 16349, 569, 267, 4929, 519, 12284, 547, 607, 19148, 3495, 622, 269, 1358, 941, 519, 1101, 543, 267, 607, 540, 476, 1001, 280, 267, 519, 1152, 3425, 547, 723, 5747, 538, 2230, 269, 2991, 713, 8009, 267, 782, 13485, 941, 17735, 1247, 519, 590, 1195, 15120, 14361, 729, 2699, 525, 11220, 269, 634, 6728, 729, 17543, 10032, 676, 632, 11399, 321, 1746, 1310, 3670, 3275, 538, 10739, 267, 1317, 621, 10443, 856, 540, 4492, 1354, 513, 2699, 525, 11220, 590, 1195, 15120, 14361, 1223, 581, 9250, 547, 621, 269, 0, 303, 1515, 540, 536, 760, 691, 16388, 6845, 2209, 15974, 2021, 781, 1686, 9754, 538, 667, 6224, 626, 528, 2103, 538, 519, 5240, 454, 15912, 281, 15882, 267, 6115, 9823, 267, 530, 558, 839, 1686, 454, 288, 536, 760, 691, 16388, 6292, 540, 4775, 2475, 6845, 2209, 723, 5189, 513, 3915, 547, 3715, 606, 1977, 2021, 781, 1686, 9754, 607, 851, 540, 519, 28834, 1950, 563, 11847, 3016, 534, 7354, 269, 19626, 19811, 540, 19051, 543, 14891, 7354, 269, 667, 1014, 928, 3171, 14852, 540, 4993, 5189, 741, 9086, 11016, 19696, 519, 4681, 540, 513, 476, 1001, 275, 18322, 1308, 10243, 602, 5227, 519, 5137, 540, 606, 1977, 7467, 540, 6468, 781, 3778, 269, 769, 5412, 476, 1001, 275, 267, 519, 10243, 729, 3964, 676, 6837, 547, 2263, 519, 7872, 540, 519, 1007, 9754, 563, 20442, 991, 513, 8628, 1747, 547, 13686, 519, 18517, 543, 2995, 519, 2984, 540, 2021, 2429, 938, 2197, 781, 1686, 2437, 3171, 14852, 1767, 538, 513, 3377, 5305, 269, 834, 288, 28834, 9754, 1131, 581, 513, 17501, 543, 1279, 27492, 16746, 1259, 547, 5265, 5431, 2021, 781, 7418, 547, 938, 4182, 781, 2239, 4799, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 2048, 2252, 1411, 21763, 547, 15232, 8644, 3130, 267, 4563, 6468, 18771, 2142, 693, 519, 7305, 20371, 268, 589, 11416, 2991, 513, 17813, 7136, 21492, 267, 570, 6160, 320, 7053, 6226, 338, 585, 12246, 4624, 7136, 3400, 1407, 454, 268, 16024, 2103, 4024, 6145, 569, 24419, 11686, 607, 2290, 540, 519, 1937, 560, 3465, 6342, 454, 268, 4563, 22032, 17460, 11873, 1160, 1091, 21861, 548, 1335, 543, 4033, 5940, 12230, 547, 5623, 1215, 3778, 568, 570, 4381, 454, 268, 4438, 519, 6406, 2782, 267, 519, 3416, 331, 8491, 21518, 9717, 606, 23883, 13095, 1190, 16763, 269, 634, 9796, 654, 550, 547, 4256, 13574, 619, 563, 268, 1772, 5345, 13370, 673, 8081, 585, 11686, 513, 2552, 2784, 2109, 888, 268, 27834, 2986, 634, 9877, 652, 281, 2052, 3776, 14568, 7186, 6435, 2974, 12706, 589, 14568, 2622, 888, 268, 1306, 3933, 3701, 570, 18443, 267, 3657, 1284, 2048, 11293, 2084, 685, 3778, 286, 16024, 2103, 17166, 3143, 454, 268, 8466, 5948, 12140, 11334, 593, 6519, 5600, 3778, 454, 268, 20037, 7905, 20658, 2284, 10557, 267, 606, 11629, 267, 12124, 4643, 1676, 267, 543, 16024, 1014, 540, 25590, 520, 1144, 267, 667, 625, 693, 476, 6434, 0, 307, 4176, 3075, 21307, 11538, 11608, 602, 949, 4483, 538, 11685, 547, 519, 2619, 540, 1973, 1847, 949, 14693, 581, 1031, 547, 6928, 18068, 6646, 593, 547, 1034, 11871, 2281, 563, 18404, 514, 590, 8636, 328, 593, 519, 7665, 23851, 4659, 585, 7581, 591, 15789, 538, 853, 18636, 326, 691, 267, 5125, 543, 1010, 9164, 723, 2919, 6263, 11608, 1634, 607, 968, 6193, 2928, 3326, 619, 892, 602, 949, 4163, 1034, 11871, 6646, 543, 28729, 3804, 1480, 6089, 1034, 11871, 2281, 563, 763, 5234, 16668, 6667, 585, 1374, 540, 519, 11608, 689, 3043, 1973, 2281, 1369, 519, 1480, 26430, 267, 799, 949, 4483, 7258, 519, 851, 1431, 540, 1973, 8043, 538, 11685, 547, 519, 2619, 540, 1973, 1847, 563, 763, 8020, 2928, 3326, 619, 616, 9112, 689, 4837, 25132, 14895, 543, 616, 20085, 538, 1106, 269, 2290, 3368, 540, 519, 18951, 729, 22862, 609, 513, 2960, 5500, 6419, 6289, 1993, 559, 332, 9112, 689, 19695, 543, 4154, 269, 634, 6587, 3368, 729, 22862, 609, 519, 1034, 11871, 3075, 798, 343, 528, 889, 545, 514, 538, 1840, 547, 6675, 602, 21028, 1034, 11871, 2281, 563, 763, 5234, 8947, 519, 11608, 538, 513, 11191, 9001, 10856, 1973, 543, 5841, 9055, 20898, 609, 1480, 32361, 2281, 1107, 519, 1826, 540, 2281, 602, 1899, 519, 9703, 851, 1431, 540, 938, 1973, 8043, 563, 763, 11608, 723, 1044, 20114, 547, 513, 4999, 540, 29406, 543, 27357, 5160, 269, 634, 8020, 2928, 3326, 619, 28729, 4448, 547, 519, 1034, 11871, 2281, 267, 543, 723, 1044, 15181, 9001, 11158, 9543, 547, 10131, 519, 798, 343, 528, 889, 545, 514, 3075, 563, 3528, 1818, 946, 540, 6419, 4610, 267, 519, 5234, 723, 1044, 5827, 540, 27464, 519, 5163, 540, 519, 8020, 2928, 3326, 619, 267, 1142, 609, 543, 538, 11685, 547, 519, 1847, 540, 1973, 269, 634, 8020, 2928, 3326, 619, 666, 12492, 513, 10605, 540, 607, 1454, 607, 476, 7785, 30562, 564, 637, 829, 2034, 563, 24685, 2013, 596, 2097, 547, 513, 22882, 538, 513, 15466, 1062, 519, 1747, 596, 723, 547, 1491, 519, 1697, 2619, 543, 952, 596, 4755, 547, 4413, 621, 267, 1287, 596, 666, 2132, 543, 979, 547, 519, 1697, 835, 2223, 3081, 5590, 16210, 563, 763, 5234, 8947, 11608, 8151, 1063, 1614, 543, 5722, 4318, 697, 30562, 564, 637, 538, 8006, 269, 5274, 6309, 5459, 1973, 2281, 267, 585, 4086, 1464, 267, 616, 607, 1454, 607, 5216, 30562, 564, 637, 538, 8006, 563, 1103, 2104, 267, 519, 3173, 6999, 547, 946, 1114, 2994, 547, 1305, 1055, 519, 3075, 10131, 267, 28330, 547, 14246, 610, 2282, 19899, 14518, 9543, 269, 3958, 789, 1544, 547, 3801, 1818, 8020, 2928, 3326, 619, 856, 540, 27500, 7727, 602, 949, 2736, 1524, 1369, 519, 26430, 936, 1175, 513, 1906, 4374, 610, 3275, 563, 763, 5234, 4566, 547, 2638, 519, 8020, 2928, 3326, 619, 538, 2831, 3533, 269, 968, 763, 5066, 619, 1616, 547, 3180, 6190, 1034, 11871, 6646, 799, 568, 1946, 649, 723, 547, 723, 873, 538, 7372, 2338, 2223, 3081, 5590, 16210, 269, 968, 4913, 2094, 649, 786, 3148, 958, 1491, 873, 547, 519, 1697, 3804, 267, 543, 6928, 621, 972, 267, 649, 1810, 1406, 1616, 11999, 13121, 1137, 3034, 22711, 4704, 281, 3163, 29790, 267, 20396, 281, 476, 1015, 269, 12208, 277, 4882, 857, 13681, 18352, 269, 19487, 6872, 273, 277, 454, 14294, 531, 607, 1454, 607, 938, 1863, 4270, 1373, 4530, 8313, 585, 513, 3923, 3562, 18881, 5180, 5346, 540, 782, 540, 519, 1134, 1373, 543, 1072, 1344, 596, 723, 547, 917, 454, 15761, 571, 593, 891, 6927, 281, 0, 19284, 6671, 2010, 540, 6653, 22269, 267, 519, 6241, 541, 7902, 5063, 267, 855, 814, 2907, 7307, 547, 6952, 519, 16681, 540, 1082, 22254, 269, 9453, 2921, 513, 2603, 540, 2230, 593, 519, 3135, 267, 621, 3947, 513, 3638, 7556, 256, 1703, 616, 1869, 711, 1360, 1082, 8677, 540, 971, 4054, 267, 855, 2614, 547, 1265, 513, 5078, 4781, 585, 1114, 20296, 10851, 269, 769, 713, 2376, 267, 596, 666, 1451, 1018, 513, 6241, 541, 22269, 568, 543, 1451, 519, 1655, 8677, 563, 20373, 540, 519, 6241, 541, 22269, 454, 2750, 27238, 267, 519, 6241, 541, 6653, 22269, 568, 3274, 513, 3529, 17657, 609, 513, 1507, 2179, 540, 3762, 267, 543, 5654, 899, 513, 6241, 267, 689, 799, 519, 2012, 3357, 269, 1703, 616, 1100, 10825, 533, 30368, 899, 8723, 3574, 267, 855, 972, 616, 1896, 8371, 267, 849, 4988, 609, 3762, 269, 4438, 2927, 1746, 267, 519, 17657, 543, 513, 1906, 8371, 540, 519, 3529, 616, 29822, 4988, 609, 10027, 1845, 563, 2005, 568, 25368, 547, 2030, 971, 4054, 538, 1507, 10651, 267, 1141, 972, 568, 2370, 2230, 267, 538, 2197, 8075, 267, 1141, 621, 568, 2556, 547, 1332, 267, 16310, 4054, 267, 849, 1082, 4677, 7031, 269, 2051, 3415, 22269, 1281, 711, 5641, 2476, 513, 1804, 12094, 267, 607, 513, 2241, 3529, 267, 621, 568, 11741, 267, 814, 513, 1164, 6556, 267, 952, 596, 1683, 621, 609, 2407, 1416, 563, 763, 3529, 540, 12733, 22269, 26328, 513, 5934, 540, 2230, 593, 519, 3135, 563, 26794, 543, 11393, 5649, 849, 891, 4930, 563, 268, 634, 1655, 9344, 540, 5394, 2914, 6817, 6653, 14723, 454, 268, 634, 1655, 2699, 18683, 454, 268, 6601, 539, 540, 4077, 7637, 529, 16933, 454, 268, 15117, 6601, 539, 5695, 12399, 910, 12474, 9669, 454, 8624, 3415, 22269, 19299, 513, 2527, 540, 2318, 7907, 563, 268, 634, 3529, 26328, 5934, 2230, 593, 519, 4729, 563, 268, 2558, 21148, 568, 711, 2877, 269, 1656, 713, 7494, 29776, 519, 1416, 267, 2523, 585, 1762, 22254, 269, 898, 568, 1152, 538, 4686, 2665, 602, 7254, 3202, 18309, 666, 581, 5645, 856, 952, 519, 22253, 616, 13792, 610, 930, 3676, 723, 7902, 563, 268, 8605, 2032, 568, 1164, 267, 7488, 540, 519, 3099, 563, 268, 634, 1101, 2927, 1746, 568, 4767, 538, 519, 1032, 540, 26912, 1637, 540, 519, 6079, 1782, 269, 1403, 519, 3529, 729, 12630, 267, 519, 7693, 666, 581, 31372, 585, 827, 476, 274, 1296, 563, 268, 634, 15708, 616, 17705, 267, 2356, 1804, 267, 30861, 563, 268, 634, 7556, 666, 581, 6394, 1312, 16924, 543, 2964, 1242, 563, 12179, 8677, 540, 6241, 541, 10027, 1845, 267, 1256, 15470, 15033, 267, 1590, 581, 1202, 4327, 585, 519, 5162, 2336, 2467, 616, 1906, 19363, 538, 713, 1826, 540, 6653, 22269, 267, 855, 972, 616, 930, 563, 268, 1452, 4054, 1058, 581, 12630, 1985, 547, 2067, 610, 5841, 4027, 689, 12798, 267, 1317, 1282, 513, 7088, 519, 8371, 543, 519, 3529, 17657, 3294, 666, 2736, 563, 268, 8381, 14053, 14450, 269, 898, 1281, 711, 20496, 10980, 267, 855, 621, 3112, 1020, 7363, 538, 23047, 1506, 2666, 563, 268, 8605, 2032, 568, 2808, 1164, 585, 513, 6241, 541, 3529, 269, 1809, 2094, 972, 616, 711, 1082, 8371, 540, 891, 4054, 267, 827, 476, 1428, 4846, 540, 15708, 616, 6394, 689, 519, 3529, 269, 769, 6476, 609, 513, 2241, 22269, 568, 711, 1454, 269, 1809, 952, 596, 1332, 15708, 585, 707, 2115, 267, 543, 711, 585, 9042, 267, 1287, 519, 7556, 568, 2614, 563, 763, 1655, 8677, 540, 6241, 541, 10027, 1845, 454, 8624, 3415, 22269, 666, 581, 5835, 267, 2699, 610, 1256, 3592, 3109, 269, 1703, 616, 711, 1082, 8677, 540, 971, 4054, 267, 855, 789, 723, 1164, 2298, 4162, 563, 268, 834, 20075, 523, 6307, 257, 5078, 585, 14713, 538, 519, 7013, 543, 1647, 2127, 269, 634, 3099, 568, 4829, 995, 267, 689, 513, 3529, 621, 568, 2009, 547, 2445, 827, 476, 1428, 4846, 540, 15708, 829, 4005, 269, 634, 15708, 616, 8949, 267, 2699, 269, 634, 678, 785, 568, 10053, 269, 7352, 1214, 5078, 585, 6283, 563, 268, 834, 312, 3641, 257, 910, 3099, 540, 6241, 541, 6653, 22269, 267, 3947, 15708, 540, 5835, 2681, 269, 20002, 267, 607, 513, 4341, 267, 616, 711, 5461, 538, 713, 3099, 269, 634, 15708, 616, 17705, 267, 6653, 267, 5078, 585, 6283, 936, 1279, 9883, 269, 30495, 689, 519, 3529, 568, 6394, 711, 2614, 269, 634, 3529, 3947, 15708, 1100, 811, 982, 476, 1839, 1296, 2336, 268, 834, 13900, 6511, 257, 910, 18397, 1826, 585, 14713, 538, 519, 1647, 851, 540, 6576, 269, 4223, 4851, 568, 4767, 676, 4571, 11219, 2317, 269, 19663, 2528, 909, 547, 476, 274, 7397, 269, 634, 8006, 540, 519, 3529, 568, 476, 272, 11281, 269, 634, 3099, 568, 1164, 3917, 1752, 532, 267, 519, 5613, 616, 11909, 268, 1042, 267, 476, 1691, 268, 1428, 575, 1142, 269, 634, 17870, 568, 10053, 267, 17705, 267, 855, 972, 568, 711, 1454, 10433, 538, 621, 269, 29759, 827, 476, 736, 1296, 267, 4470, 593, 519, 2409, 540, 14713, 543, 1416, 563, 268, 834, 306, 2643, 16129, 257, 910, 4411, 15033, 3099, 585, 14713, 538, 22465, 16374, 269, 717, 1161, 1390, 3771, 341, 3949, 269, 634, 3529, 12217, 4829, 676, 519, 1647, 540, 4873, 269, 898, 9428, 909, 547, 476, 275, 7397, 609, 513, 13862, 609, 513, 8006, 540, 909, 547, 476, 272, 269, 276, 7397, 269, 634, 15708, 616, 1804, 267, 3276, 326, 1495, 344, 2681, 269, 4014, 519, 3529 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 649, 946, 8330, 549, 15862, 297, 547, 8850, 10956, 519, 5182, 5542, 585, 782, 519, 824, 2592, 1369, 519, 26215, 730, 3239, 10518, 267, 543, 649, 666, 1287, 8207, 513, 3113, 689, 621, 269, 898, 8761, 513, 1906, 9670, 5013, 269, 1411, 949, 581, 2111, 547, 1265, 811, 1344, 827, 713, 543, 2147, 1543, 693, 14440, 269, 1470, 267, 12207, 654, 5893, 10060, 12280, 676, 1975, 698, 515, 1777, 2305, 267, 4563, 670, 3421, 24143, 519, 476, 1708, 271, 17587, 15356, 538, 8212, 267, 932, 18588, 2473, 11920, 25076, 281, 23448, 867, 2435, 1715, 14358, 267, 898, 781, 634, 4107, 5295, 995, 4563, 670, 1961, 631, 1120, 518, 17451, 1530, 523, 267, 27405, 1190, 15901, 908, 15571, 8738, 560, 16849, 11088, 267, 19759, 2336, 1492, 8331, 1401, 26979, 564, 781, 3135, 1412, 2750, 26979, 564, 1773, 1824, 262, 2985, 269, 1703, 941, 1082, 8320, 1141, 519, 8343, 1185, 1044, 666, 576, 1194, 1354, 649, 1185, 13175, 519, 8343, 1184, 267, 1813, 547, 513, 6727, 936, 4751, 540, 12269, 269, 4653, 568, 513, 11812, 1554, 607, 649, 616, 1631, 936, 476, 6110, 271, 10785, 24019, 538, 938, 6538, 543, 713, 1297, 786, 1332, 1360, 3533, 7064, 547, 14021, 593, 268, 4707, 960, 2336, 2171, 723, 4362, 811, 982, 476, 274, 267, 10384, 608, 26979, 1115, 267, 855, 789, 2039, 538, 2450, 689, 4130, 982, 519, 7599, 547, 8273, 982, 18347, 267, 536, 867, 1359, 593, 519, 2450, 540, 8959, 6801, 563, 514, 519, 1482, 10739, 607, 519, 608, 26979, 564, 267, 1280, 513, 811, 2143, 2079, 593, 519, 2409, 547, 1265, 7301, 1064, 14476, 267, 1294, 519, 2376, 676, 667, 12447, 2552, 328, 2630, 1547, 476, 273, 267, 6032, 269, 476, 276, 260, 616, 1447, 7372, 982, 3047, 269, 1403, 596, 946, 1022, 540, 891, 13602, 538, 707, 6881, 2326, 267, 5225, 16952, 1344, 3823, 713, 1184, 666, 581, 1336, 538, 606, 2376, 3370, 676, 26658, 2160, 4586, 667, 269, 631, 269, 2552, 328, 267, 968, 288, 19750, 6651, 547, 1401, 26979, 564, 9866, 6326, 2223, 476, 1001, 279, 269, 4033, 2409, 693, 608, 26979, 564, 19936, 262, 8741, 1023, 1331, 16326, 14965, 7828, 532, 1813, 547, 513, 4541, 630, 21406, 519, 8020, 1503, 14819, 1505, 1070, 10478, 585, 519, 530, 984, 1076, 538, 519, 5182, 781, 2990, 593, 519, 6607, 630, 21406, 519, 4230, 668, 13011, 1505, 1070, 543, 19459, 519, 1769, 540, 519, 5182, 689, 519, 4541, 543, 2965, 2921, 2592, 630, 21406, 519, 1463, 9196, 1505, 1040, 16016, 816, 4016, 547, 519, 5544, 693, 799, 519, 2898, 4541, 13788, 519, 5182, 779, 1167, 630, 11034, 540, 519, 18302, 1070, 543, 661, 28698, 4016, 547, 519, 1448, 693, 799, 519, 4541, 10301, 519, 6587, 2427, 540, 519, 5182, 779, 1167, 543, 608, 1080, 689, 621, 630, 754, 540, 519, 18302, 264, 1547, 667, 269, 631, 269, 2552, 328, 267, 968, 2750, 26979, 564, 8771, 15474, 24544, 609, 4427, 2173, 2678, 22370, 8554, 2223, 7788, 24550, 267, 11022, 267, 476, 1001, 279, 269, 8330, 549, 15862, 297, 19776, 519, 6476, 543, 3077, 6801, 1210, 606, 27934, 543, 3045, 15252, 547, 2268, 519, 21386, 267, 607, 3254, 538, 7612, 476, 279, 563, 23178, 2806, 601, 21780, 14162, 540, 519, 4643, 8767, 13206, 527, 1464, 6997, 693, 519, 2160, 540, 17896, 22656, 5025, 13440, 756, 334, 2322, 1927, 713, 20498, 5750, 547, 1397, 608, 26979, 1115, 6896, 676, 2450, 543, 2837, 563, 717, 269, 681, 269, 25599, 518, 543, 1696, 620, 1421, 968, 9558, 1746, 1401, 26979, 564, 11752, 31420, 630, 307, 8577, 1070, 892, 4750, 540, 13562, 13929, 22370, 8554, 267, 19639, 618, 267, 543, 7010, 267, 2019, 269, 1496, 15697, 14073, 4322, 2164, 616, 19040, 607, 17252, 289, 267, 7193, 267, 18688, 289, 267, 543, 661, 289, 269, 1452, 4441, 2327, 513, 1164, 4110, 540, 9355, 538, 1142, 3113, 267, 543, 782, 22347, 3827, 547, 519, 570, 293, 8008, 6538, 1590, 581, 6659, 547, 873, 1991, 547, 19169, 269, 7612, 476, 272, 2630, 19776, 519, 3604, 1063, 513, 642, 6879, 1901, 1769, 7455, 543, 608, 26979, 564, 1769, 7455, 563, 1607, 849, 11151, 3653, 540, 3407, 1804, 16263, 942, 593, 1246, 5346, 7422, 676, 1804, 24985, 971, 607, 519, 6276, 30197, 6611, 23571, 630, 297, 310, 4306, 264, 952, 7301, 1064, 14476, 616, 6569, 689, 4541, 11134, 12240, 1547, 2473, 773, 1696, 620, 1421, 623, 2793, 306, 630, 1001, 277, 1040, 9509, 18302, 563, 6546, 1797, 269, 4750, 540, 3194, 538, 18776, 5292, 563, 5629, 1346, 3681, 616, 9168, 267, 543, 519, 11708, 616, 6659, 547, 570, 293, 8008, 4441, 267, 519, 3239, 4393, 568, 6192, 267, 543, 513, 1867, 666, 581, 2366, 547, 519, 5698, 269, 3807, 2185, 723, 25057, 811, 982, 476, 1911, 2395, 267, 6028, 519, 5354, 540, 891, 10785, 538, 25057, 602, 2693, 1118, 835, 2427, 3068, 519, 5182, 693, 782, 2053, 30867, 11466, 1572, 23864, 1327, 6362, 602, 3762, 835, 3368, 540, 519, 4541, 3905, 543, 835, 3368, 4411, 693, 782, 2053, 267, 4227, 519, 10171, 540, 1272, 269, 1306, 5018, 5892, 267, 606, 608, 26979, 564, 1769, 7455, 1131, 723, 513, 1454, 4130, 16702, 538, 21386, 3379, 547, 513, 7301, 2318, 269, 1496, 16966, 539, 476, 1001, 280, 4940, 3767, 267, 519, 1985, 3959, 649, 1616, 547, 4983, 568, 519, 454, 22428, 602, 596, 666, 2268, 519, 1739, 3688, 281, 28514, 267, 1577, 781, 2119, 3168, 693, 713, 834, 18091, 592, 756, 8922, 3109, 7853, 2837, 257, 634, 5750, 849, 814, 21159, 538, 519, 5377, 1318, 7944, 540, 1142, 19236, 7121, 269, 2755, 14027, 883, 1007, 8513, 1063, 713, 1032, 543, 2063, 1032, 814, 4547, 1007, 3356, 267, 621, 849, 4547, 1007, 2152, 2189, 547, 938, 1788, 602, 649, 723, 4121, 689, 269, 1879, 649, 723, 513, 18302, 602, 814, 936, 513, 476, 273, 260, 6749, 538, 21386, 267, 649, 666, 3589, 602, 519, 8343, 568, 513, 7301, 2318, 267, 2864, 982, 606, 608, 26979, 564, 18302, 269, 901, 568, 12913, 998, 7589, 538, 519, 3690, 1746, 1401, 26979, 564, 11752, 31420, 630, 307, 8577, 264, 7427, 5346, 9866, 3569, 5358, 269, 9509, 18302, 269, 855, 875, 666, 649, 798, 602, 286, 9571, 538, 602, 19236, 1062, 269, 1677, 519, 2451, 568, 513, 642, 11057, 7301, 2318, 267, 543, 547, 519, 1318, 568, 513, 19943, 8032, 3113, 799, 1223, 581, 689, 513, 4541, 1454, 4130, 982, 519, 3984, 5182, 563, 6624, 6801, 8858, 7915, 13260, 538, 741, 21386, 267, 1932, 267, 855, 519, 608, 26979, 564, 2560, 590, 1706, 802, 26850, 607, 513, 595, 268, 1704, 14924, 609, 715, 846, 5453, 1564, 5455, 269, 769, 1840, 267, 782, 1098, 1080, 3812, 676, 519, 1482, 4541, 1590, 581, 540, 519, 1482, 1689, 538, 21386, 543, 2063, 519, 1482, 2179, 540, 942, 267, 3976, 3246, 513, 3810, 10956, 762, 5365, 543, 7347, 7020, 1505, 269, 1306, 540, 476, 274, 5181, 476, 1708, 271, 267, 972, 616, 476, 275, 267, 20065, 9672, 608, 26979, 1115, 538, 476, 274, 267, 1220, 1949, 267, 609, 476, 3583, 279, 1949, 2348, 811, 982, 835, 4541, 563, 16908, 538, 513, 3154, 9649, 568, 12691, 267, 1498, 2009, 267, 855, 952, 938, 1378, 3859, 1062, 568, 1022, 16315, 267, 891, 10600, 1223, 723, 1216, 344, 24262, 269, 1360, 10502, 2676, 1607, 1689, 1590, 581, 11613, 13350, 952, 621, 568, 3361, 676, 513, 4541, 269, 901, 568, 513, 8800, 22010, 547, 519, 590, 289, 5456, 595, 7374, 602, 568, 6417, 998, 7665, 574, 13036, 538, 1931, 547, 22771, 585, 21513, 538, 519, 16263, 543, 11626, 31285, 269, 1496, 16966, 539, 476, 1001, 280, 14073, 2171, 946, 513, 4183, 689, 7665, 574, 13036, 17941, 1313, 657, 1511, 267, 799, 2636, 519, 13128, 2921, 540, 2592, 547, 581, 10710, 547, 513, 1808, 3758, 269, 901, 1772, 1879, 519, 17807, 4024, 22427, 569, 7736, 267, 634, 25289, 538, 2659, 29726, 1290, 525, 689, 8111, 2617, 2801, 267, 19026, 1772, 4634, 2859, 540, 513, 18774, 2675, 1901, 20537, 1284, 22569, 1441, 267, 2806, 601, 21780, 14162, 1315, 4643, 8767, 13206, 527, 1464, 6997, 1315, 772, 11266, 5025, 13440, 756, 334, 269, 27915, 519, 10785, 1524, 676, 2450, 543, 2837, 2337, 721, 1451, 513, 2370, 3787, 811, 827, 1018, 779, 856, 972, 563, 4322, 4632, 1852, 875, 649, 1305, 909, 938, 16263, 267, 607, 1134, 607, 875, 1279, 649, 1131, 581, 2921, 2592, 563, 763, 3804, 540, 938, 1382, 568, 547, 4217, 538, 519, 21533, 540, 608, 26979, 1115, 267, 799, 616, 10785, 3544, 938, 3859, 1062, 269, 1306, 3254, 1657, 538, 7612, 476, 1015, 267, 519, 3077, 5182, 630, 514, 2699, 264, 1705, 711, 723, 513, 21386, 6749, 267, 855, 519, 7404, 5182, 267, 570, 2975, 5379, 279, 279, 3393, 25953, 268, 271, 630, 514, 4544, 1070, 30122, 1705, 269, 634, 18302, 8653, 630, 307, 264, 540, 606, 608, 26979, 564, 568, 519, 3259, 540, 942, 602, 513, 4541, 22939, 1098, 1746, 513, 5182, 269, 3493, 628, 7648, 538, 950, 1210, 1585, 12086, 3947, 606, 16315, 540, 513, 2009, 661, 289, 269, 7665, 574, 13036, 3301, 2636, 721, 547, 1852, 519, 16263, 543, 1847, 621, 883, 519, 3077, 2990, 547, 1376, 13830, 2592, 269, 476, 808, 269, 670, 514, 3832, 344, 267, 654, 269, 11518, 516, 903, 543, 623, 269, 6341, 611, 8643, 267, 968, 293, 656, 2880, 1401, 26979, 1115, 543, 7316, 547, 4855, 23067, 2223, 4750, 540, 3194, 538, 18776, 267, 2019, 563, 1729, 5173, 519, 13441, 540, 5982, 11495, 606, 16016, 816, 1341, 736, 18336, 2026, 519, 3897, 1067, 5182, 1624, 6699, 630, 10139, 525, 3297, 1070, 519, 3677, 5182, 630, 27146, 776, 24256, 1070, 621, 786, 1267, 538, 513, 811, 1713, 6749, 538, 519, 21386, 269, 634, 2164, 540, 7421, 891, 7301, 2318, 7422, 6542, 602, 972, 568, 513, 3017, 1063, 873, 543, 513, 3339, 608, 26979, 564, 269, 1280, 1169, 8343, 649, 11643, 547, 519, 608, 26979, 564, 6538, 267, 649, 1185, 547, 2165, 3729, 693, 2547, 835, 824, 8343, 1813, 547, 2901, 3983, 4365, 267, 8800, 2152, 267, 610, 3301, 2152, 269, 1717, 267, 1813, 547, 519, 2990, 540, 519, 20626, 267, 649, 1294, 519, 5182, 1062, 28835, 1142, 824, 563, 1691, 1634, 10785, 602, 2693, 723, 3047, 6438, 5210, 267, 811, 10881, 827, 891, 10785, 262, 3020, 4356, 1464, 267, 634, 6489, 338, 2201, 901, 1401, 26979, 564, 3657, 3683, 7557, 476, 278, 267, 18599, 3047, 6441, 833, 4643, 1115, 2107, 4226, 2290, 14033, 2421, 10060, 267, 1160, 6883, 2622, 338, 15332, 3776, 9891, 3590, 585, 5020, 269, 5899, 1052, 1715, 2622, 338, 10812, 606, 7317, 19922, 540, 930, 540, 519, 1034, 10578, 543, 16678, 10785, 4362, 865, 2484, 269, 5272, 1554, 267, 621, 4667, 899, 972, 779, 513, 1007, 608, 26979, 564, 856, 972, 11652, 1419, 267, 6811, 540, 4356, 1464, 269, 3719, 621, 779, 2653, 547, 1205, 4503, 538, 519, 3190, 540, 2338, 269, 16319, 2241, 267, 855, 621, 666, 20739, 752, 688, 22106, 609, 634, 1246, 909, 7422, 4951, 1100, 1689, 538, 519, 21386, 6749, 267, 3056, 547, 519, 3077, 5182, 1373, 13042, 607, 513, 4541, 11134, 538, 7305, 476, 272, 563, 1862, 1280, 1383, 267, 952, 606, 608, 26979, 564, 1098, 1080, 513, 3859, 8953, 2450, 5182, 267, 513, 4541, 609, 513, 3677, 8953, 1131, 2333, 519, 18302, 3178, 543, 513, 4541, 609, 513, 4130, 8953, 1131, 6175, 519, 18302, 3178, 269, 3807, 2221, 267, 19936, 9307, 513, 1007, 608, 26979, 564, 267, 17664, 476, 12553, 536, 267, 799, 568, 7404, 630, 1556, 1769, 26188, 264, 543, 7654, 538, 513, 5594, 669, 11035, 3110, 3386, 7997, 269, 769, 1931, 547, 12398, 519, 2680, 267, 649, 991, 547, 2824, 1896, 3077, 6801, 543, 6476, 6801, 269, 9337, 2433, 4239, 269, 476, 2767, 267, 476, 1708, 271, 630, 275, 3607, 280, 10785, 264, 12232, 281, 4179, 2517, 18528, 3555, 15905, 2593, 270, 15276, 8276, 1314, 574, 323, 331, 270, 16655, 3412, 5937, 299, 21867, 258, 306, 289, 5456, 318, 288, 302, 318, 278, 21867, 269, 1306, 649, 8399, 267, 1413, 585, 2963, 540, 3245, 938, 642, 656, 720, 1448, 267, 1360, 2484, 2476, 267, 4495, 713, 1164, 6749, 729, 1336, 267, 519, 3077, 729, 12199, 607, 513, 7301, 2318, 3361, 676, 606, 17252, 289, 563, 16655, 4812, 3631, 519, 16263, 779, 24039, 538, 519, 4410, 1759, 593, 476, 2004, 547, 476, 1911, 6801, 14961, 7856, 2066, 519, 2407, 6607, 689, 513, 23363, 3781, 1547, 2368, 540, 519, 11708, 5219, 547, 2221, 666, 581, 1336, 693, 12232, 281, 4179, 2517, 339, 612, 269, 2466, 12975, 270, 10849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2817, 3047, 3163, 7467, 267, 1247, 930, 5439, 689, 519, 3171, 5336, 333, 16381, 543, 519, 744, 300, 9680, 29365, 8612, 6404, 4610, 540, 8652, 31516, 31622, 4088, 2045, 26817, 10402, 2045, 269, 1773, 1824, 540, 623, 321, 4211, 340, 19053, 333, 4610, 538, 7612, 476, 1704, 5416, 264, 3379, 547, 7612, 476, 1704, 6357, 264, 540, 966, 5960, 13478, 3633, 13052, 825, 1397, 602, 1034, 540, 519, 918, 4861, 520, 17719, 5439, 28367, 538, 519, 19923, 6261, 321, 590, 3633, 13052, 2361, 543, 616, 5693, 3982, 689, 966, 5960, 12074, 607, 11609, 593, 1367, 3732, 2199, 885, 538, 7612, 476, 1240, 1547, 769, 1840, 267, 1585, 2609, 941, 28367, 1996, 7601, 593, 519, 9352, 12222, 538, 7612, 476, 866, 1299, 7612, 476, 736, 547, 4159, 519, 21942, 9756, 11664, 267, 513, 2268, 540, 519, 4222, 540, 513, 5276, 7681, 1063, 513, 5697, 3693, 543, 7601, 20922, 676, 678, 1547, 7612, 476, 866, 2982, 513, 2942, 21942, 9756, 454, 8368, 476, 272, 269, 2473, 31686, 2101, 630, 30995, 1070, 5634, 630, 1262, 264, 543, 10250, 30916, 264, 6886, 540, 918, 4861, 520, 17719, 5439, 563, 1723, 324, 2310, 585, 6970, 267, 13391, 267, 27002, 267, 623, 267, 29447, 267, 590, 321, 267, 23621, 543, 631, 333, 267, 1247, 7612, 476, 736, 10525, 2609, 609, 513, 2318, 21942, 9756, 11664, 630, 13070, 267, 590, 267, 31626, 267, 7720, 267, 623, 321, 267, 3171, 267, 1306, 543, 654, 1040, 4935, 267, 2609, 609, 9793, 547, 2178, 5276, 7681, 678, 21759, 476, 271, 269, 275, 476, 609, 7601, 941, 5697, 585, 11664, 540, 8990, 630, 305, 273, 264, 6268, 543, 519, 2164, 538, 7612, 476, 2641, 2982, 602, 654, 267, 590, 267, 7720, 267, 3397, 267, 623, 321, 267, 6970, 543, 631, 333, 723, 513, 1713, 9756, 540, 681, 273, 9881, 486, 476, 271, 269, 3583, 609, 19923, 563, 276, 269, 274, 269, 29079, 29621, 5811, 540, 918, 4861, 520, 17719, 27842, 454, 24342, 941, 5833, 689, 606, 3328, 540, 2947, 3119, 610, 2034, 22831, 540, 5714, 538, 7501, 829, 3732, 540, 18287, 924, 267, 21247, 267, 838, 15595, 518, 924, 267, 530, 5285, 523, 924, 543, 524, 518, 1380, 924, 269, 7305, 476, 273, 2982, 513, 2647, 2039, 540, 1611, 5210, 585, 3119, 538, 7501, 8151, 689, 476, 5038, 391, 504, 290, 547, 476, 23714, 391, 504, 290, 267, 1247, 602, 540, 6281, 538, 7501, 568, 5594, 2539, 8151, 689, 476, 6812, 391, 504, 290, 547, 476, 15757, 391, 504, 290, 269, 769, 4334, 267, 1611, 16171, 5210, 2039, 689, 6567, 2918, 269, 275, 391, 504, 290, 547, 6567, 272, 269, 279, 391, 504, 290, 267, 799, 5795, 24952, 5638, 689, 476, 273, 269, 272, 547, 476, 2918, 269, 275, 530, 339, 4939, 10878, 5141, 6697, 269, 22043, 539, 1611, 4630, 4094, 1436, 5210, 1759, 593, 12222, 585, 31925, 5714, 10014, 4630, 4094, 1436, 5210, 585, 15885, 8151, 689, 476, 271, 547, 476, 1839, 2600, 10878, 5141, 909, 547, 476, 6110, 391, 504, 290, 543, 476, 1220, 12463, 320, 567, 538, 7612, 476, 2420, 2982, 602, 2698, 4630, 4094, 1436, 7018, 693, 5210, 8151, 689, 476, 8182, 391, 504, 290, 547, 476, 1220, 391, 504, 290, 563, 8368, 476, 273, 269, 1261, 908, 543, 16171, 630, 29791, 5069, 8946, 7785, 264, 3942, 5714, 10014, 2079, 2164, 585, 918, 4861, 520, 17719, 5439, 563, 22134, 549, 31516, 19659, 267, 17795, 25361, 543, 1786, 764, 807, 16654, 1949, 971, 607, 1346, 693, 24162, 17305, 822, 328, 17719, 543, 519, 918, 4861, 520, 17719, 29365, 616, 23033, 517, 1227, 6417, 267, 27981, 2045, 4162, 540, 631, 309, 307, 15178, 12074, 1547, 634, 18254, 4609, 616, 5462, 454, 8201, 476, 1428, 269, 2473, 27184, 10763, 1239, 28367, 593, 519, 5806, 5364, 512, 1716, 776, 12222, 585, 24348, 7725, 282, 630, 320, 264, 918, 4861, 520, 16005, 5439, 3379, 547, 630, 321, 264, 7811, 24348, 7725, 5806, 5364, 512, 1716, 776, 6516, 585, 7250, 2045, 267, 8652, 31516, 543, 4511, 523, 2045, 4610, 689, 2413, 7542, 668, 22462, 3150, 12074, 630, 12898, 645, 739, 337, 7238, 332, 267, 476, 3192, 274, 264, 4586, 2421, 12776, 1670, 13289, 267, 17929, 519, 19923, 6261, 321, 5025, 326, 22714, 616, 3808, 547, 519, 5580, 670, 6686, 339, 1084, 6199, 12373, 739, 821, 543, 519, 18287, 1606, 559, 6510, 7725, 607, 513, 1267, 540, 2242, 538, 1312, 519, 7299, 543, 14694, 27978, 540, 519, 7725, 538, 519, 19941, 3760, 5311, 476, 540, 519, 744, 7876, 269, 634, 19923, 6261, 321, 5025, 326, 7777, 1436, 15225, 3908, 267, 12150, 3119, 24980, 3270, 2147, 547, 606, 12746, 631, 309, 307, 16005, 1353, 1547, 21118, 4224, 27327, 568, 3908, 543, 3622, 11658, 547, 12373, 558, 527, 1436, 6353, 676, 15137, 344, 543, 3043, 552, 340, 14366, 18287, 924, 14848, 1419, 11303, 676, 15454, 678, 15501, 540, 669, 531, 32476, 1679, 543, 7523, 6511, 630, 8201, 476, 275, 5416, 5148, 7612, 476, 279, 6262, 1070, 7612, 476, 279, 16216, 1070, 7612, 476, 279, 14116, 5148, 7612, 476, 278, 6357, 4297, 543, 24485, 2305, 10630, 676, 21247, 15532, 630, 8201, 476, 279, 6262, 5148, 7612, 476, 280, 6262, 4297, 1472, 14869, 569, 1019, 6137, 267, 7532, 29891, 11495, 267, 630, 293, 281, 476, 8064, 391, 504, 270, 4198, 391, 504, 264, 9013, 3889, 267, 1775, 4318, 269, 19659, 267, 24966, 543, 19852, 18655, 269, 5015, 267, 5266, 24338, 18287, 1606, 559, 6510, 16475, 519, 5127, 4765, 3171, 5336, 333, 7626, 1522, 723, 3177, 519, 4496, 13247, 2230, 630, 320, 638, 11717, 264, 1282, 519, 1114, 8652, 31516, 5714, 14501, 630, 8201, 476, 277, 1916, 5416, 264, 630, 321, 264, 630, 322, 264, 630, 323, 264, 630, 324, 264, 630, 325, 994, 8201, 476, 1626, 269, 634, 3171, 25575, 5336, 333, 512, 1716, 776, 6516, 540, 8652, 31516, 3693, 8810, 766, 540, 24348, 4224, 13602, 585, 918, 4861, 520, 17719, 25541, 2199, 885, 281, 630, 320, 264, 6239, 16381, 282, 630, 321, 264, 3171, 5336, 333, 16381, 282, 630, 322, 264, 744, 300, 9680, 29365, 282, 630, 323, 264, 1306, 529, 10787, 4639, 282, 630, 324, 264, 476, 12010, 5101, 29365, 282, 630, 325, 264, 19866, 11895, 5439, 563, 303, 1506, 961, 924, 4564, 513, 1447, 15449, 762, 1770, 799, 2813, 513, 15972, 585, 519, 12669, 26448, 8652, 31516, 5714, 267, 1247, 922, 23918, 538, 5214, 2339, 949, 723, 3177, 519, 2556, 2175, 585, 4496, 13247, 563, 763, 10299, 543, 10630, 1769, 18784, 1353, 540, 25509, 543, 6094, 6810, 630, 8201, 476, 1556, 543, 7612, 476, 1321, 1070, 4857, 19923, 6261, 321, 543, 3171, 5336, 333, 7626, 6886, 269, 634, 1165, 7007, 267, 5127, 4765, 5439, 540, 4401, 2173, 22462, 3150, 7626, 2270, 15866, 454, 8201, 476, 1704, 269, 19923, 6261, 321, 19053, 333, 512, 1716, 776, 12222, 282, 630, 320, 264, 27842, 689, 519, 918, 4861, 520, 17719, 267, 635, 1790, 1563, 547, 630, 321, 264, 623, 321, 4211, 340, 19053, 333, 4610, 543, 590, 3633, 13052, 270, 309, 5960, 4610, 476, 4586, 27346, 10458, 924, 630, 295, 338, 1070, 11275, 924, 630, 300, 339, 1070, 7510, 1679, 630, 13695, 1070, 543, 669, 531, 32476, 1679, 630, 290, 335, 1040, 634, 4527, 540, 1979, 582, 7875, 566, 543, 882, 1112, 338, 540, 5127, 26204, 12873, 538, 519, 18287, 1606, 559, 6510, 630, 10676, 7725, 264, 6920, 513, 5348, 1606, 539, 21747, 16005, 476, 2404, 609, 6281, 22104, 924, 630, 295, 332, 264, 543, 795, 659, 10849, 924, 630, 297, 321, 264, 7777, 1436, 563, 763, 7601, 6122, 611, 22714, 2874, 540, 4535, 924, 630, 289, 333, 264, 543, 669, 531, 32476, 1679, 630, 290, 335, 264, 799, 616, 1312, 1373, 8719, 676, 18618, 22917, 749, 2801, 18282, 540, 669, 531, 322, 665, 924, 630, 290, 322, 264, 543, 608, 338, 1828, 540, 1071, 767, 29411, 630, 290, 341, 264, 1310, 4535, 924, 543, 669, 531, 322, 665, 924, 267, 1247, 1071, 767, 29411, 15532, 723, 1044, 2165, 3990, 676, 7510, 1679, 630, 13695, 1040, 1452, 7601, 7626, 6886, 616, 2404, 609, 8652, 31516, 27072, 543, 12373, 739, 821, 10682, 2934, 1455, 538, 543, 827, 631, 309, 307, 12074, 1547, 634, 8652, 31516, 5714, 5108, 3340, 1614, 3334, 281, 476, 272, 264, 5696, 710, 2707, 281, 7654, 998, 21381, 540, 26869, 538, 519, 14656, 10609, 5557, 7909, 543, 10300, 728, 27072, 6383, 519, 1666, 1400, 11159, 1490, 710, 269, 476, 273, 264, 590, 5285, 584, 2707, 281, 998, 513, 23009, 545, 15059, 540, 23253, 6886, 543, 5214, 2326, 267, 476, 274, 264, 19045, 2707, 281, 8407, 949, 723, 1044, 682, 3737, 689, 519, 5817, 24348, 10189, 998, 799, 519, 1490, 1149, 28953, 1547, 4438, 1490, 710, 9194, 267, 519, 10682, 18282, 4767, 538, 7612, 476, 1691, 1223, 5815, 30450, 540, 7601, 267, 13058, 543, 17646, 689, 804, 904, 267, 8020, 553, 543, 19917, 3421, 267, 6466, 1291, 24865, 1034, 2693, 689, 5070, 18429, 4586, 5416, 264, 630, 321, 264, 630, 322, 264, 630, 323, 264, 630, 324, 994, 8201, 476, 1240, 269, 19923, 6261, 321, 19053, 333, 543, 590, 3633, 13052, 270, 309, 5960, 570, 1716, 776, 6516, 4610, 540, 918, 4861, 520, 17719, 2199, 885, 630, 320, 264, 3171, 5336, 333, 8486, 282, 630, 321, 264, 744, 300, 9680, 29365, 282, 630, 322, 264, 7467, 282, 630, 323, 264, 1306, 529, 10787, 4639, 282, 630, 324, 264, 476, 12010, 5101, 29365, 563, 763, 5714, 538, 7501, 5815, 606, 3328, 4630, 4094, 1436, 2837, 540, 476, 8146, 391, 504, 290, 267, 30260, 513, 8652, 31516, 1062, 267, 1247, 519, 3328, 24952, 540, 476, 1321, 269, 5952, 530, 339, 269, 4939, 10878, 5141, 6697, 2798, 547, 513, 1490, 710, 5714, 607, 1373, 3743, 585, 519, 918, 4861, 520, 16005, 269, 634, 1490, 710, 31622, 549, 31516, 5714, 1062, 8813, 1369, 519, 2039, 540, 2175, 585, 606, 631, 309, 307, 15178, 16005, 567, 1547, 9747, 267, 519, 22621, 1611, 2837, 2418, 593, 12222, 585, 31925, 5714, 10014, 4630, 4094, 1436, 5210, 476, 2303, 602, 519, 918, 4861, 520, 16005, 12090, 896, 5210, 8151, 689, 476, 8182, 391, 504, 290, 547, 476, 1220, 391, 504, 290, 267, 543, 24952, 540, 476, 273, 269, 272, 547, 476, 2918, 269, 278, 530, 339, 269, 260, 10878, 5141, 630, 8201, 476, 2420, 1040, 901, 25389, 519, 6093, 1610, 4815, 2275, 8707, 2175, 540, 631, 309, 307, 12074, 267, 799, 22132, 689, 29649, 1666, 1400, 12669, 26448, 12862, 693, 5210, 540, 476, 4037, 391, 504, 290, 547, 476, 1220, 391, 504, 290, 267, 693, 12933, 531, 1377, 610, 3178, 18016, 272, 5998, 567, 4586, 8201, 476, 866, 269, 15689, 18071, 513, 2942, 21942, 9756, 11664, 609, 7601, 563, 4002, 519, 5806, 5364, 6516, 585, 24348, 7725, 630, 12898, 645, 739, 337, 7238, 332, 267, 476, 3192, 274, 282, 7612, 476, 1428, 264, 476, 1034, 5439, 689, 519, 918, 4861, 520, 17719, 29365, 2887, 538, 519, 8652, 31516, 2361, 267, 11021, 513, 8652, 31516, 1184, 729, 15866, 3743, 585, 519, 918, 4861, 520, 7777, 1436, 269, 634, 6268, 540, 1367, 3732, 2199, 885, 9244, 8612, 8652, 31516, 7777, 1436, 693, 519, 918, 4861, 520, 6239, 16381, 267, 519, 1306, 529, 10787, 4639, 546, 7927, 543, 519, 476, 12010, 5101, 623, 1080, 630, 8201, 476, 1626, 5416, 1070, 7612, 476, 1626, 5560, 1070, 7612, 476, 1626, 16216, 26895, 32680, 13598, 4610, 9967, 540, 8652, 31516, 543, 4511, 523, 2045, 3334, 941, 7000, 538, 519, 5439, 630, 8201, 476, 1626, 6600, 24270, 10834, 602, 1312, 3157, 3576, 1747, 269, 589, 4511, 523, 2045, 1184, 1223, 581, 2404, 609, 5127, 4765, 3171, 5336, 333, 7626, 5439, 543, 454, 8201, 476, 736, 269, 2473, 27184, 2609, 6029, 513, 2318, 21942, 9756, 11664, 609, 7601, 563, 16673, 2099, 18254, 538, 513, 7286, 1604, 476, 1547, 2368, 5439, 689, 519, 3171, 5336, 333, 16381, 543, 519, 744, 300, 9680, 623, 1080, 28321, 538, 519, 8652, 31516, 26817, 10402, 2045, 31622, 4088, 2045, 543, 7250, 2045, 26817, 10402, 2045, 6404, 4610, 267, 6606, 630, 8201, 476, 1626, 6357, 1070, 7612, 476, 1626, 6262, 4297, 5815, 602, 519, 7250, 2045, 26817, 10402, 2045, 3157, 1131, 581, 3743, 585, 631, 333, 267, 19923, 543, 15281, 9830, 3177, 602, 519, 24348, 10189, 729, 896, 3404, 545, 2175, 269, 634, 1689, 547, 1016, 16464, 2175, 1131, 3895, 1164, 631, 333, 543, 3171, 5834, 476, 2073, 543, 4061, 454, 8201, 476, 2641, 269, 23030, 12222, 28321, 7601, 1996, 1585, 2609, 6029, 930, 1713, 9756, 609, 7601, 693, 3732, 1327, 1275, 281, 570, 32500, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 681, 13183, 3711, 648, 2817, 5244, 568, 835, 540, 519, 4102, 543, 1034, 1271, 3084, 11614, 538, 519, 2197, 269, 898, 568, 835, 540, 519, 1034, 2442, 7320, 7254, 9822, 2456, 538, 14076, 553, 22474, 269, 898, 568, 13883, 538, 519, 27517, 2967, 8496, 7749, 584, 8664, 538, 14076, 553, 22474, 563, 763, 681, 13183, 3711, 648, 2817, 5244, 729, 8385, 3964, 607, 519, 27517, 2967, 8496, 7749, 584, 10794, 5842, 551, 4231, 538, 476, 4198, 276, 676, 519, 4095, 6554, 543, 729, 4547, 896, 519, 5741, 26286, 10325, 538, 476, 3192, 274, 269, 898, 729, 10294, 607, 513, 2817, 5244, 538, 476, 2735, 271, 563, 763, 11105, 7733, 540, 519, 25113, 941, 10294, 607, 519, 27517, 2967, 2494, 19453, 5842, 551, 4231, 543, 22398, 1228, 12858, 5842, 551, 4231, 269, 769, 476, 1960, 272, 267, 519, 26286, 15944, 729, 9450, 676, 26399, 519, 7404, 7254, 9822, 2456, 267, 543, 3976, 519, 681, 13183, 3711, 648, 2817, 5244, 729, 4646, 563, 763, 681, 13183, 3711, 648, 2817, 5244, 568, 1655, 1634, 585, 922, 20259, 2551, 269, 634, 27683, 666, 581, 3362, 19481, 538, 519, 6288, 269, 634, 1655, 942, 547, 3643, 519, 6288, 568, 538, 519, 3275, 540, 5437, 543, 2904, 607, 519, 16714, 3947, 1259, 547, 1434, 8289, 532, 3255, 540, 891, 23836, 2831, 538, 741, 2067, 7226, 563, 763, 6288, 568, 13883, 593, 513, 29415, 543, 568, 3808, 676, 519, 8933, 932, 3711, 531, 543, 645, 11446, 593, 2901, 2427, 269, 634, 23836, 681, 13183, 3711, 648, 10783, 568, 849, 13883, 1369, 519, 7182, 540, 519, 681, 13183, 3711, 648, 2817, 5244, 269, 634, 3084, 6288, 705, 2432, 538, 7320, 543, 568, 1753, 547, 513, 1804, 1297, 540, 2249, 1519, 669, 8558, 267, 1793, 1054, 12217, 267, 1728, 523, 553, 267, 521, 3711, 1513, 267, 3552, 1630, 1513, 267, 562, 559, 326, 2967, 267, 682, 641, 1841, 543, 27683, 563, 763, 3084, 6288, 568, 849, 1634, 585, 519, 10770, 3646, 3144, 676, 519, 8128, 547, 2847, 633, 519, 20259, 2551, 538, 519, 6288, 269, 769, 476, 1220, 276, 267, 972, 941, 607, 1082, 607, 476, 2918, 27683, 538, 519, 25113, 563, 763, 1297, 2799, 547, 476, 4097, 538, 476, 1220, 279, 269, 769, 1931, 547, 5150, 519, 3148, 267, 519, 8128, 616, 4758, 15314, 547, 519, 27142, 547, 1832, 1055, 7182, 269, 24028, 11462, 12514, 723, 849, 1044, 8704, 538, 519, 6288, 547, 6895, 519, 2831, 563, 16032, 942, 547, 3643, 281, 476, 272, 560, 5239, 547, 476, 1789, 628, 4873, 454, 28926, 2287, 543, 14656, 3108, 2433, 476, 278, 513, 6230, 269, 547, 476, 277, 533, 6230, 563, 13911, 540, 13812, 6380, 926, 2433, 2052, 614, 630, 736, 694, 831, 1070, 8614, 788, 630, 277, 694, 831, 994, 11947, 7547, 540, 519, 6288, 10778, 268, 2290, 540, 519, 1655, 7254, 9822, 2456, 547, 5544, 4095, 570, 22061, 454, 268, 5153, 883, 519, 19069, 609, 513, 808, 21819, 6380, 926, 454, 268, 13028, 811, 982, 476, 4335, 2249, 540, 15496, 2371, 454, 268, 20128, 1896, 13155, 7320, 2249, 454, 268, 5685, 652, 1763, 2176, 9624, 519, 13812, 0, 763, 667, 15957, 1700, 29445, 9931, 9335, 21637, 543, 19901, 10466, 2920, 630, 21720, 569, 5219, 547, 607, 667, 15957, 1700, 29445, 264, 568, 513, 2136, 2276, 5313, 1876, 602, 729, 21892, 593, 5147, 476, 2641, 267, 476, 1001, 271, 269, 634, 1876, 936, 3873, 27968, 2883, 7939, 538, 519, 21987, 540, 519, 2883, 6433, 540, 476, 1220, 278, 1700, 1220, 279, 267, 543, 621, 1500, 2242, 7133, 782, 5313, 2883, 9431, 8041, 543, 3592, 1169, 851, 540, 519, 4182, 779, 2883, 2533, 2872, 563, 25215, 1180, 532, 547, 7839, 7125, 585, 2242, 547, 519, 2883, 9431, 1062, 267, 538, 4873, 476, 1220, 280, 5518, 4446, 871, 15525, 5189, 513, 11556, 585, 513, 968, 338, 933, 9429, 936, 3873, 592, 540, 519, 2136, 2276, 2883, 9431, 1062, 267, 513, 7004, 593, 513, 4336, 711, 2938, 2094, 519, 15024, 602, 4553, 519, 4279, 12870, 2108, 269, 18489, 3175, 1759, 593, 1010, 11556, 729, 5189, 538, 519, 2136, 2276, 5600, 540, 24929, 676, 6837, 2006, 4446, 2284, 7671, 267, 543, 538, 519, 2136, 2276, 14130, 676, 27737, 18281, 667, 15957, 269, 4107, 18322, 1308, 1489, 585, 667, 15957, 6363, 17213, 3357, 689, 2818, 540, 519, 14891, 9549, 267, 855, 1614, 14130, 25743, 20366, 585, 519, 3915, 267, 3850, 621, 547, 7753, 519, 14130, 2083, 756, 13831, 563, 291, 15957, 6363, 17213, 556, 23457, 519, 2883, 9431, 1062, 267, 14874, 519, 8433, 540, 28202, 3424, 8111, 9679, 267, 26471, 1007, 9021, 547, 4540, 8041, 899, 519, 8549, 3493, 21627, 15928, 15278, 267, 543, 2870, 1007, 8041, 899, 519, 19901, 11038, 10466, 13163, 630, 290, 17025, 289, 1040, 634, 595, 17025, 289, 729, 9901, 609, 7863, 6800, 1996, 28407, 1644, 547, 5491, 6486, 267, 6180, 326, 1137, 267, 543, 824, 2883, 2472, 269, 634, 957, 849, 2813, 519, 11038, 853, 1464, 744, 951, 697, 7027, 543, 519, 8433, 540, 11038, 3194, 547, 2697, 6937, 547, 519, 2883, 6617, 540, 519, 2136, 2276, 267, 543, 5795, 519, 8549, 15944, 1007, 7060, 547, 10038, 1062, 1227, 1271, 5238, 269, 1677, 6023, 519, 5277, 566, 540, 1804, 3549, 267, 519, 957, 2813, 519, 11352, 569, 700, 1172, 9179, 16958, 269, 2290, 11865, 267, 519, 5292, 14982, 14329, 267, 9673, 1206, 8492, 689, 1818, 1978, 5686, 540, 23019, 9541, 269, 634, 957, 849, 4735, 4705, 519, 608, 18277, 689, 7939, 585, 3354, 2861, 2220, 2355, 267, 8506, 5491, 12413, 5435, 2220, 2355, 543, 824, 8852, 547, 581, 23498, 998, 2901, 15377, 610, 21757, 17346, 269, 4033, 14074, 1860, 2152, 971, 607, 9746, 10350, 267, 476, 10219, 277, 20260, 338, 267, 543, 5491, 12773, 8041, 563, 291, 15957, 6363, 17213, 568, 3622, 9833, 607, 835, 540, 519, 1034, 1713, 4031, 21892, 1282, 519, 24164, 540, 4446, 871, 15525, 269, 5525, 723, 1336, 519, 667, 15957, 1700, 29445, 2920, 814, 4824, 2883, 6617, 543, 7082, 4027, 267, 4352, 972, 814, 1044, 7521, 3823, 922, 2804, 2360, 269, 769, 476, 1001, 278, 267, 8549, 15944, 17348, 30513, 3967, 564, 962, 749, 523, 7150, 602, 968, 1492, 3666, 540, 1382, 5267, 602, 519, 4295, 15024, 649, 723, 2322, 538, 1747, 723, 15186, 5818, 539, 6043, 1510, 3768, 340, 569, 12145, 5491, 8244, 610, 2804, 2208, 1848, 2368, 13915, 723, 11130, 602, 519, 1876, 1185, 513, 2942, 1764, 593, 2804, 2208, 543, 1507, 8492, 267, 610, 8959, 547, 1683, 7850, 7939, 547, 519, 2883, 2872, 269, 3509, 25743, 723, 1572, 585, 519, 9864, 610, 2698, 4735, 531, 540, 519, 1876, 563, 11771, 1231, 543, 11556, 454, 763, 2883, 6433, 540, 476, 1220, 278, 1700, 1015, 3366, 547, 7839, 7125, 585, 2242, 538, 519, 9431, 1062, 269, 769, 4873, 476, 1220, 280, 267, 5518, 15525, 5189, 513, 11556, 585, 513, 968, 338, 933, 9429, 936, 3873, 592, 540, 519, 2136, 2276, 2883, 9431, 1062, 267, 513, 7004, 593, 513, 4336, 711, 2938, 2094, 519, 15024, 602, 4553, 519, 4279, 12870, 9731, 2026, 519, 3803, 1242, 3915, 7153, 689, 10554, 267, 5518, 15525, 1767, 602, 621, 3769, 476, 3445, 2600, 540, 519, 15024, 646, 1185, 6069, 269, 11683, 3334, 540, 15525, 779, 3312, 11556, 267, 7396, 676, 519, 1931, 538, 799, 789, 2408, 538, 519, 968, 288, 1715, 7690, 892, 7291, 267, 1331, 454, 268, 634, 28051, 540, 9431, 8041, 267, 17594, 540, 519, 3084, 4278, 3424, 22497, 267, 543, 1007, 23388, 14643, 547, 6218, 11528, 1981, 454, 268, 18043, 7939, 540, 2883, 6990, 267, 1519, 2799, 11413, 540, 16755, 630, 32523, 873, 5196, 15377, 994, 268, 19901, 4027, 15024, 1519, 513, 1007, 7082, 4027, 8116, 543, 7833, 4441, 585, 968, 21622, 29877, 892, 2472, 607, 1134, 607, 22541, 20090, 4027, 454, 268, 13088, 585, 2883, 6433, 267, 1519, 513, 968, 637, 1828, 12512, 892, 9148, 532, 519, 4540, 8549, 3493, 21627, 15928, 15278, 630, 293, 291, 2975, 264, 6392, 547, 1450, 585, 1931, 569, 23090, 1524, 540, 22625, 10909, 267, 543, 1519, 513, 11556, 602, 519, 8549, 15944, 630, 1492, 968, 293, 539, 14615, 4309, 28431, 689, 519, 27308, 585, 24909, 540, 5491, 538, 968, 684, 639, 783, 610, 608, 580, 550, 6381, 7536, 268, 15316, 3800, 6322, 693, 2810, 3486, 4441, 543, 9316, 1519, 18747, 1644, 547, 4824, 8051, 543, 9395, 2989, 7939, 540, 5491, 12773, 8041, 454, 26765, 529, 331, 894, 3210, 543, 8574, 454, 763, 12014, 602, 3357, 1310, 15525, 779, 11556, 941, 7361, 5812, 609, 519, 11556, 267, 855, 8659, 930, 3606, 14074, 543, 3604, 538, 6388, 563, 763, 5292, 14982, 14329, 729, 711, 3769, 538, 15525, 779, 3355, 4873, 476, 1220, 280, 11556, 267, 855, 15525, 6069, 519, 4341, 2663, 538, 5130, 476, 1001, 271, 267, 1310, 519, 5600, 3915, 1185, 5293, 269, 634, 4341, 267, 799, 10238, 1080, 7263, 7480, 8492, 689, 28106, 9467, 630, 13678, 1791, 547, 519, 29611, 540, 5916, 5092, 543, 5010, 12948, 538, 519, 19371, 1700, 17556, 698, 718, 2920, 1070, 729, 5293, 1152, 538, 519, 14130, 3915, 267, 543, 519, 10554, 12233, 21892, 519, 4341, 538, 513, 18604, 1106, 267, 8791, 476, 277, 866, 540, 519, 3915, 267, 602, 4847, 8492, 547, 1902, 909, 547, 476, 274, 2600, 540, 741, 512, 1512, 476, 272, 3854, 538, 4357, 9698, 543, 21963, 7482, 607, 1134, 607, 4123, 585, 15949, 3101, 5301, 563, 4002, 5412, 476, 273, 267, 476, 1220, 280, 267, 15428, 8747, 540, 519, 3915, 941, 5189, 538, 519, 5600, 540, 24929, 676, 1287, 1700, 21129, 2574, 2533, 12233, 28579, 4446, 2284, 7671, 267, 543, 538, 519, 14130, 30914, 9730, 676, 5449, 28579, 18281, 667, 15957, 269, 634, 3355, 4528, 540, 519, 3915, 5293, 519, 5600, 7361, 2059, 5428, 3515, 538, 5412, 676, 513, 8917, 540, 476, 23417, 547, 476, 1708, 267, 543, 5293, 519, 14130, 609, 22853, 538, 2904, 476, 1001, 271, 609, 513, 8917, 540, 476, 6795, 547, 476, 4375, 1586, 7361, 2059, 5428, 3515, 563, 763, 3915, 1287, 6410, 547, 10554, 12233, 267, 1141, 519, 14130, 3915, 729, 1031, 607, 519, 3490, 1257, 4352, 513, 1906, 5600, 14074, 941, 3769, 538, 519, 3915, 779, 3490, 1257, 269, 634, 3803, 3915, 5293, 519, 14130, 538, 513, 8917, 540, 476, 2568, 3562, 268, 4375, 267, 519, 5934, 14345, 2556, 547, 14710, 513, 2083, 756, 13831, 269, 10493, 807, 16176, 324, 267, 19626, 19811, 267, 543, 8845, 9466, 26200, 519, 1152, 17044, 6845, 2209, 945, 20366, 585, 519, 3915, 267, 1247, 4072, 3171, 532, 1245, 729, 519, 19157, 14130, 19391, 520, 547, 8917, 1996, 519, 3915, 563, 3080, 11865, 593, 799, 519, 6519, 5600, 1705, 711, 1491, 513, 2990, 543, 7283, 538, 519, 3803, 3915, 2636, 519, 22444, 547, 4341, 593, 968, 2889, 15383, 1569, 2108, 1765, 26074, 602, 27216, 23265, 267, 1519, 2516, 267, 666, 12189, 519, 9746, 21285, 3948, 2366, 547, 23265, 547, 1331, 741, 1378, 8689, 9930, 710, 525, 267, 609, 519, 3652, 1305, 676, 519, 22444, 269, 901, 4341, 729, 5667, 15471, 2685, 13934, 538, 10554, 12233, 676, 18281, 667, 15957, 267, 945, 1765, 8974, 2604, 689, 519, 6519, 5600, 1765, 11357, 4784, 606, 17203, 12145, 602, 1569, 543, 2702, 547, 9930, 3729, 19971, 1152, 547, 2582, 23265, 945, 723, 936, 476, 276, 2600, 540, 519, 2754, 543, 723, 4371, 519, 6006, 585, 693, 2547, 1079, 1296, 563, 763, 968, 291, 7875, 514, 17203, 2108, 568, 513, 11865, 538, 519, 3803, 3915, 6322, 693, 4227, 32259, 3556, 20049, 12375, 585, 22278, 543, 2810, 6735, 538, 8569, 4393, 269, 634, 11865, 729, 711, 538, 519, 5600, 3915, 282, 621, 3459, 607, 606, 17203, 547, 519, 14130, 3915, 689, 16299, 667, 7875, 514, 543, 3366, 547, 25211, 532, 1996, 621, 563, 763, 1715, 3840, 8648, 3370, 513, 6476, 540, 519, 1079, 12014, 1991, 547, 741, 21047, 269, 2201, 4873, 476, 1839, 267, 476, 1001, 271, 267, 1476, 699, 525, 8737, 11028, 4290, 532, 519, 5600, 543, 14130, 8747, 540, 519, 12014, 543, 2185, 2395, 2663, 19429, 513, 10554, 1867, 269, 634, 10554, 12233, 4957, 519, 2012, 540, 519, 2920, 689, 519, 968, 27916, 1681, 1977, 11038, 853, 1464, 2920, 540, 476, 1001, 271, 6100, 634, 5600, 5293, 519, 10554, 1867, 267, 476, 26801, 1700, 4572, 593, 4873, 476, 1789, 267, 476, 1001, 271, 269, 2201, 5147, 476, 1428, 267, 519, 14130, 5293, 519, 2920, 267, 476, 2568, 1700, 4375, 269, 5518, 15525, 9896, 519, 3915, 883, 1876, 593, 5147, 476, 2641, 267, 476, 1001, 271, 563, 7712, 519, 8574, 540, 667, 15957, 6363, 17213, 267, 1082, 25743, 723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 11322, 5607, 1656, 5245, 454, 763, 3148, 21018, 689, 519, 1473, 5255, 4042, 18686, 998, 519, 24414, 2895, 28396, 782, 519, 1259, 547, 5245, 267, 8108, 519, 12270, 1899, 1063, 519, 7414, 543, 519, 4095, 744, 10895, 269, 901, 1858, 568, 1360, 3309, 1107, 32321, 267, 15520, 543, 13840, 269, 1548, 519, 3148, 779, 2477, 723, 538, 1455, 568, 741, 4102, 9467, 7649, 281, 3624, 269, 19864, 779, 7682, 633, 13422, 1136, 568, 519, 1034, 1271, 7580, 3390, 538, 519, 3148, 563, 11847, 2176, 593, 14913, 5607, 1656, 5245, 6423, 782, 9890, 454, 309, 28126, 779, 1747, 538, 519, 772, 2529, 11607, 19770, 1390, 1379, 6735, 454, 2026, 519, 31195, 1063, 519, 772, 2529, 269, 543, 3624, 646, 1846, 909, 267, 10476, 779, 1034, 1271, 3804, 1107, 547, 2226, 13190, 1107, 568, 4742, 8945, 1512, 269, 1924, 2484, 267, 2673, 5428, 13218, 723, 5280, 1832, 1894, 609, 19864, 10260, 658, 267, 5103, 535, 969, 550, 4550, 16644, 2088, 4743, 1851, 2834, 19176, 269, 1403, 922, 7187, 7023, 4679, 519, 2604, 2705, 267, 2523, 593, 2152, 899, 519, 3162, 3624, 7256, 543, 519, 631, 2131, 784, 5211, 267, 10476, 814, 1500, 2312, 602, 621, 786, 2263, 824, 3681, 267, 1519, 6251, 13218, 609, 519, 772, 2529, 269, 0, 6097, 547, 2199, 18691, 267, 713, 568, 519, 1747, 1141, 1082, 3595, 25912, 645, 24252, 19487, 21847, 10353, 547, 12054, 324, 328, 918, 752, 2426, 21343, 779, 585, 904, 883, 5045, 563, 301, 600, 529, 785, 11445, 13946, 538, 4223, 340, 11445, 538, 2494, 2378, 11445, 8664, 568, 513, 1016, 614, 10328, 14951, 4502, 9683, 952, 596, 616, 538, 519, 7532, 540, 519, 2197, 563, 28062, 593, 519, 5458, 21601, 529, 785, 11445, 7823, 267, 519, 13946, 568, 12725, 5219, 547, 607, 5391, 2088, 561, 6614, 561, 4157, 21343, 561, 933, 301, 600, 529, 785, 11445, 563, 301, 600, 529, 785, 11445, 7823, 2269, 9536, 956, 3592, 3368, 519, 2244, 2527, 540, 2494, 2378, 11445, 8664, 269, 634, 13946, 3091, 513, 4686, 19214, 883, 22300, 1272, 538, 645, 1872, 529, 340, 563, 6097, 547, 2199, 18691, 267, 713, 568, 519, 1747, 1141, 1082, 3595, 25912, 645, 24252, 19487, 21847, 10353, 547, 12054, 324, 328, 918, 752, 2426, 21343, 781, 585, 904, 883, 5045, 563, 289, 1872, 529, 340, 8179, 25113, 538, 519, 3735, 476, 5197, 271, 338, 543, 2038, 476, 5002, 271, 338, 563, 298, 752, 2426, 21343, 729, 519, 3703, 7810, 8665, 945, 5280, 547, 3142, 1034, 540, 9456, 24063, 896, 519, 2149, 28672, 2229, 563, 26222, 6386, 723, 621, 602, 519, 21847, 1427, 8972, 547, 519, 23572, 950, 12959, 1063, 873, 543, 12054, 324, 328, 918, 752, 2426, 21343, 781, 21037, 7952, 15583, 730, 563, 293, 1042, 1284, 330, 3128, 320, 267, 606, 9632, 538, 4223, 340, 11445, 8498, 267, 3081, 519, 21847, 1336, 519, 13946, 547, 581, 513, 10375, 15720, 1747, 267, 2523, 693, 3781, 563, 21893, 13946, 568, 606, 1271, 3135, 585, 18840, 1108, 269, 898, 814, 513, 3638, 1686, 269, 898, 729, 1031, 676, 938, 11937, 593, 1896, 14026, 607, 12062, 543, 607, 513, 15720, 1747, 607, 789, 17388, 547, 4339, 1055, 21037, 563, 298, 752, 2426, 21343, 543, 1010, 2367, 2760, 3893, 547, 917, 1141, 1346, 5706, 532, 873, 538, 713, 851, 540, 645, 1872, 529, 340, 941, 15720, 563, 2467, 616, 711, 1082, 882, 923, 2451, 540, 519, 9604, 519, 21847, 1031, 267, 855, 2899, 596, 1205, 538, 267, 596, 666, 1294, 875, 2352, 621, 729, 547, 1265, 873, 2899, 789, 554, 573, 1934, 563, 6624, 818, 974, 30440, 267, 899, 17285, 2235, 2280, 19273, 267, 5672, 2867, 525, 267, 884, 1513, 267, 575, 29330, 723, 1044, 1336, 538, 519, 13946, 855, 649, 723, 711, 1044, 2111, 547, 1832, 873, 538, 835, 1747, 2437, 1284, 330, 3128, 320, 3081, 563, 11900, 728, 519, 13946, 454, 763, 13946, 568, 5458, 3330, 282, 621, 3592, 7959, 899, 1373, 538, 513, 28618, 269, 1280, 519, 804, 320, 755, 5268, 11131, 1268, 267, 594, 2303, 596, 1589, 7466, 1354, 596, 3643, 563, 763, 1995, 540, 3001, 3330, 519, 13946, 568, 5594, 796, 333, 6326, 282, 14356, 1813, 547, 519, 12334, 14334, 607, 596, 25500, 707, 1259, 1472, 267, 2523, 2509, 519, 9703, 563, 301, 792, 519, 13946, 781, 13675, 267, 972, 568, 513, 1216, 6908, 602, 8928, 30780, 883, 513, 4190, 5250, 540, 7725, 563, 310, 2131, 3128, 320, 6645, 803, 519, 9998, 2963, 540, 1480, 1148, 1568, 267, 12077, 6149, 2645, 267, 19273, 21243, 609, 7493, 6272, 543, 575, 712, 1091, 267, 941, 16626, 689, 519, 13946, 676, 835, 17055, 4857, 607, 918, 580, 2967, 21601, 7701, 563, 3891, 27333, 882, 11343, 547, 7395, 1446, 267, 513, 7404, 9467, 8998, 267, 1310, 8391, 6937, 689, 930, 7264, 945, 5433, 646, 1185, 1500, 2724, 9513, 1055, 519, 3504, 882, 923, 563, 257, 301, 600, 7701, 1185, 547, 979, 2620, 3330, 519, 13946, 543, 602, 2838, 899, 1614, 610, 2185, 2462, 8731, 2583, 269, 1261, 16309, 538, 8757, 835, 12068, 267, 855, 646, 1223, 711, 8399, 1022, 2417, 563, 5804, 1010, 2272, 972, 616, 811, 3768, 4593, 2642, 818, 974, 30440, 538, 519, 13946, 269, 898, 568, 1175, 519, 14334, 3330, 602, 15641, 525, 269, 1677, 2263, 519, 2898, 13946, 267, 2462, 8731, 2583, 616, 2877, 563, 10454, 13946, 729, 849, 1031, 607, 513, 11454, 676, 938, 11937, 8164, 789, 941, 1655, 12976, 519, 18577, 1379, 540, 2820, 1588, 630, 32643, 958, 5219, 547, 607, 1207, 325, 636, 340, 264, 2390, 16887, 6074, 1004, 563, 763, 2820, 1588, 729, 2944, 998, 930, 540, 519, 575, 712, 1091, 602, 21601, 7701, 1336, 2437, 1284, 330, 3128, 320, 3081, 563, 310, 2131, 3128, 320, 3081, 27120, 267, 1955, 321, 2728, 4931, 17800, 30060, 2212, 10591, 630, 298, 600, 541, 889, 27599, 1070, 8860, 10007, 267, 884, 1513, 543, 2025, 6149, 31009, 723, 1044, 4362, 538, 519, 13946, 563, 257, 5278, 540, 519, 818, 974, 30440, 941, 2705, 3144, 676, 930, 540, 519, 3043, 8436, 1510, 938, 9844, 2437, 1284, 330, 3128, 320, 3081, 563, 17457, 946, 540, 519, 13946, 454, 763, 13946, 814, 849, 6039, 607, 513, 19427, 1747, 585, 9241, 4931, 322, 2213, 1762, 2367, 540, 645, 636, 2692, 1016, 28029, 344, 950, 789, 616, 8600, 585, 519, 2757, 9161, 1634, 607, 737, 327, 4157, 327, 8500, 531, 3121, 267, 799, 568, 7363, 5340, 1169, 5988, 538, 519, 9642, 1296, 563, 763, 9161, 3322, 8781, 519, 3819, 19337, 3762, 9241, 4931, 322, 2213, 8695, 3207, 593, 563, 257, 11900, 728, 519, 13946, 267, 1007, 4384, 919, 2206, 8964, 14578, 605, 8010, 532, 875, 789, 723, 669, 1078, 519, 11359, 540, 22084, 785, 324, 630, 289, 1195, 3125, 264, 2476, 269, 1358, 2206, 15029, 3001, 998, 519, 13946, 2437, 1284, 330, 3128, 320, 3081, 563, 4322, 23572, 543, 519, 4478, 14099, 1459, 513, 1434, 1761, 15805, 16007, 585, 8289, 572, 619, 543, 16246, 4161, 585, 554, 1731, 619, 563, 2704, 2819, 267, 1053, 4947, 689, 645, 2426, 5448, 543, 824, 2694, 540, 7262, 15057, 723, 1044, 1818, 519, 13946, 513, 17552, 5371, 543, 14906, 14162, 31773, 3135, 563, 763, 30382, 547, 519, 13946, 568, 711, 2352, 267, 4688, 585, 519, 2063, 851, 799, 568, 1360, 14869, 269, 3733, 1762, 3391, 27584, 328, 918, 583, 657, 328, 3592, 2451, 803, 3297, 269, 594, 1185, 547, 3247, 547, 6952, 1250, 7362, 563, 2791, 786, 2705, 581, 30039, 585, 707, 3646, 609, 20498, 5784, 540, 519, 1164, 4133, 2630, 543, 593, 519, 8230, 12505, 2427, 269, 5637, 1762, 543, 2025, 666, 3643, 585, 17552, 333, 923, 543, 8289, 572, 4370, 269, 898, 568, 26656, 563, 1692, 547, 1205, 972, 454, 2414, 1205, 547, 713, 8978, 13946, 267, 1491, 513, 862, 17458, 3454, 328, 18188, 547, 645, 636, 2692, 269, 1452, 616, 11593, 2139, 693, 25253, 1446, 12525, 328, 5244, 563, 4263, 4223, 340, 11445, 267, 2307, 585, 513, 3391, 547, 1491, 596, 547, 519, 13946, 540, 21601, 529, 785, 11445, 269, 3245, 4223, 340, 11445, 547, 519, 13946, 568, 10199, 476, 3583, 15432, 269, 0, 763, 3047, 1772, 9509, 454, 29394, 779, 4063, 281, 6754, 717, 843, 532, 267, 2278, 540, 968, 763, 4279, 2598, 8306, 2223, 568, 606, 12167, 543, 9666, 518, 547, 562, 784, 21194, 3906, 543, 4213, 543, 519, 5449, 8783, 10324, 540, 5682, 701, 864, 269, 1261, 12038, 693, 519, 570, 3633, 1001, 273, 10554, 538, 5988, 269, 570, 3633, 568, 513, 18758, 6131, 547, 968, 29613, 553, 4502, 10825, 892, 799, 621, 2306, 2139, 998, 12909, 11540, 593, 922, 3896, 563, 18154, 13585, 264, 2443, 1280, 476, 2004, 1296, 519, 2825, 3350, 814, 5667, 15471, 2685, 11130, 602, 649, 1058, 4688, 519, 4541, 585, 5837, 4128, 267, 602, 972, 941, 811, 1271, 1919, 982, 2724, 269, 11635, 1227, 267, 621, 1631, 4667, 621, 786, 581, 2724, 2443, 998, 519, 2804, 1764, 540, 2916, 1689, 543, 4199, 23061, 2443, 602, 786, 18663, 519, 27789, 2242, 2556, 547, 513, 3200, 31685, 563, 763, 2601, 568, 649, 723, 1631, 6603, 513, 4090, 1141, 2185, 1913, 2443, 519, 3618, 568, 2407, 2443, 786, 5581, 938, 2053, 269, 901, 568, 711, 513, 10952, 3948, 282, 713, 568, 1175, 2257, 1759, 538, 6323, 267, 7998, 543, 7350, 269, 1703, 616, 1082, 2257, 2861, 9382, 540, 713, 267, 855, 789, 782, 2721, 519, 1482, 3932, 2443, 602, 649, 2461, 2713, 3564, 938, 1797, 563, 763, 900, 5799, 3744, 540, 519, 6820, 14272, 2745, 8416, 267, 585, 1383, 267, 5173, 602, 649, 991, 827, 476, 272, 269, 276, 2423, 2195, 547, 2844, 713, 4346, 269, 769, 824, 1913, 267, 547, 1832, 5665, 693, 938, 1699, 1377, 267, 649, 991, 476, 2004, 260, 811, 3047, 982, 649, 4076, 3893, 269, 0, 295, 517, 652, 569, 267, 594, 798, 711, 3494, 602, 1565, 875, 547, 3009, 568, 606, 1271, 5578, 585, 513, 1126, 267, 2523, 513, 1762, 1126, 945, 1869, 814, 3768, 1815, 3660, 13141, 5209, 269, 4014, 267, 594, 798, 3494, 267, 952, 513, 1126, 2982, 1390, 2702, 547, 25401, 1589, 543, 5659, 1344, 693, 606, 2038, 3942, 267, 8193, 1223, 581, 519, 1985, 5214, 1900, 585, 519, 1646, 540, 891, 1360, 1983, 20620, 288, 1390, 4358, 1448, 568, 2480, 337, 2255, 12789, 269, 2919, 676, 3173, 693, 20037, 267, 7330, 269, 898, 781, 606, 5140, 4199, 585, 1453, 945, 616, 1869, 538, 519, 2038, 5933, 540, 2542, 630, 27212, 1453, 666, 946, 2480, 337, 2255, 1040, 1284, 723, 5129, 609, 2480, 337, 2255, 12789, 269, 543, 2813, 938, 1378, 2370, 3785, 269, 1403, 596, 616, 513, 1007, 547, 8193, 607, 594, 729, 950, 649, 1101, 4362, 2480, 337, 2255, 12789, 1421, 1934, 568, 513, 1592, 540, 2835, 602, 1058, 948, 596, 543, 849, 2285, 596, 2093, 540, 1761, 3785, 20620, 2690, 7820, 3283, 2676, 2690, 4587, 1453, 2676, 2080, 781, 1548, 631, 4548, 1656, 667, 6758, 540, 9741, 12207, 16874, 602, 547, 17166, 2483, 763, 2898, 14764, 540, 2221, 779, 13186, 729, 2706, 3579, 543, 3860, 269, 2052, 4952, 519, 2186, 540, 3646, 1373, 1500, 547, 1118, 621, 3078, 585, 3214, 269, 4279, 2816, 623, 5622, 10937, 269, 910, 631, 636, 540, 589, 17679, 269, 8061, 454, 6624, 7064, 585, 519, 8799, 2680, 543, 707, 3919, 269, 667, 269, 1185, 513, 2603, 540, 1187, 543, 6499, 547, 979, 972, 1586, 269, 910, 631, 636, 540, 667, 2529, 577, 738, 324, 268, 3725, 6277, 601, 24792, 454, 313, 269, 3081, 267, 594, 6415, 4189, 2635, 1317, 540, 519, 6901, 609, 519, 17900, 269, 910, 631, 636, 540, 2098, 269, 16114, 328, 6210, 454, 296, 269, 5143, 602, 646, 10150, 3257, 519, 2238, 269, 11289, 596, 585, 25786, 543, 10647, 519, 11925, 269, 910, 631, 636, 540, 594, 269, 681, 10422, 269, 4414, 11276, 454, 14188, 596, 623, 5622, 10937, 585, 519, 8748, 13186, 269, 26461, 491, 6930, 493, 375, 4279, 4674, 269, 910, 631, 636, 540, 670, 269, 18491, 541, 342, 8403, 454, 25405, 651, 24166, 5884, 7638, 534, 560, 5306, 2426, 803, 710, 581, 16582, 570, 7238, 577, 614, 11058, 1084, 642, 1408, 1975, 320, 29967, 269, 910, 300, 636, 540, 590, 9950, 269, 543, 589, 11053, 2532, 514, 454, 2171, 616, 865, 865, 865, 9684, 995, 585, 519, 2898, 3919, 267, 960, 267, 7772, 267, 1648, 2648, 6612, 543, 811, 596, 5818, 539, 547, 1118, 513, 8748, 543, 6909, 2027, 1554, 585, 661, 269, 543, 1010, 2828, 269, 26272, 26272, 26272, 269, 11289, 596, 9684, 596, 1360, 1454, 269, 2696, 12196, 596, 10731, 569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 22427, 549, 630, 277, 3275, 1040, 901, 568, 547, 1683, 3376, 652, 4598, 547, 519, 2259, 540, 1928, 2359, 543, 547, 5150, 3795, 540, 519, 6673, 307, 6437, 269, 4179, 2517, 325, 10975, 28482, 16896, 270, 10177, 1456, 7146, 13282, 619, 1790, 664, 2173, 14037, 710, 454, 23149, 7375, 543, 4170, 666, 581, 2808, 607, 1279, 607, 2866, 4170, 543, 2123, 2866, 6859, 616, 1558, 269, 9701, 1079, 3617, 10457, 2769, 1719, 585, 519, 1482, 1974, 540, 2866, 267, 813, 16211, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32747, 10341, 9751, 257, 607, 851, 540, 834, 25503, 1315, 4065, 1299, 9751, 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, 476, 276, 269, 272, 24531, 519, 2876, 1559, 540, 519, 667, 5744, 26492, 4427, 8999, 539, 7201, 519, 21145, 540, 4563, 15215, 692, 2026, 649, 5490, 4514, 883, 519, 1353, 540, 4563, 4984, 538, 3013, 267, 621, 568, 2629, 547, 5431, 543, 2263, 519, 3638, 4763, 540, 5389, 7854, 539, 1369, 713, 936, 31186, 7121, 269, 769, 1931, 547, 4628, 1174, 519, 1950, 13795, 540, 4563, 3909, 4082, 267, 835, 1590, 4983, 519, 2189, 3140, 24551, 543, 2686, 7506, 602, 723, 8032, 1142, 3982, 2245, 269, 901, 3296, 786, 1683, 606, 7650, 540, 1896, 2101, 4563, 3909, 2516, 267, 10223, 741, 8129, 267, 1646, 267, 543, 4207, 4644, 269, 1635, 3695, 891, 9867, 12583, 267, 1053, 786, 2744, 513, 811, 13857, 8223, 540, 519, 15491, 2470, 540, 4563, 2538, 6685, 538, 3013, 780, 28893, 18179, 5783, 630, 288, 8016, 2567, 5853, 539, 538, 476, 4572, 272, 676, 6723, 12138, 5062, 10817, 790, 267, 519, 589, 8016, 7153, 607, 513, 3210, 547, 7292, 7130, 4810, 676, 4563, 23464, 5443, 1369, 15866, 3043, 17557, 29559, 269, 20323, 3964, 607, 513, 16278, 540, 519, 9147, 7826, 5783, 267, 519, 589, 8016, 8179, 13190, 543, 1582, 24148, 585, 4563, 10271, 269, 4653, 267, 519, 589, 8016, 15387, 513, 2518, 4527, 609, 740, 6254, 338, 5097, 4092, 538, 3345, 3013, 267, 4000, 267, 543, 519, 12144, 269, 634, 589, 8016, 11363, 1514, 5126, 267, 2146, 16882, 267, 543, 5289, 10575, 3424, 267, 6220, 2609, 540, 1312, 29842, 534, 1396, 21395, 543, 2757, 3979, 2853, 780, 301, 566, 540, 5771, 630, 17472, 296, 2567, 24021, 1282, 519, 2038, 14206, 2540, 267, 519, 12971, 296, 814, 5129, 513, 1713, 1909, 538, 5935, 4563, 3909, 3961, 543, 6214, 538, 3013, 269, 21231, 3366, 676, 28615, 674, 731, 17124, 543, 2663, 16309, 676, 18379, 26400, 17124, 267, 519, 12971, 296, 15469, 513, 10058, 18381, 16471, 9099, 4978, 609, 25812, 1417, 878, 10752, 543, 3741, 540, 1582, 3146, 18910, 269, 6239, 28975, 3769, 519, 3661, 538, 513, 5094, 10143, 13414, 585, 1004, 540, 2681, 543, 519, 13319, 540, 2804, 7115, 998, 20835, 543, 18756, 9297, 269, 31838, 2818, 971, 607, 29346, 2473, 543, 8402, 10787, 21531, 7315, 5280, 2442, 1125, 519, 3350, 267, 799, 5170, 547, 3310, 4207, 5717, 4478, 5198, 267, 1379, 267, 543, 5132, 780, 303, 550, 1815, 739, 16117, 281, 2060, 5072, 538, 519, 10897, 25901, 9335, 4860, 2526, 540, 476, 5002, 277, 267, 19999, 1815, 739, 16117, 4564, 835, 540, 519, 16595, 21212, 4168, 5322, 5001, 267, 3226, 1851, 2950, 540, 2681, 269, 10886, 1242, 676, 3235, 18878, 10847, 2833, 267, 6340, 538, 10209, 1132, 267, 543, 14393, 31397, 12115, 902, 267, 19999, 1815, 739, 531, 13039, 2709, 513, 2230, 585, 3929, 5305, 267, 18497, 1489, 267, 543, 2123, 7004, 269, 4014, 7620, 1558, 609, 4187, 689, 13416, 17557, 29559, 267, 19999, 1815, 739, 16117, 814, 1831, 5051, 9565, 1369, 1977, 8567, 267, 3246, 513, 3760, 585, 1347, 29487, 3401, 971, 607, 570, 6185, 269, 808, 1389, 543, 21674, 8176, 26858, 28224, 269, 5047, 267, 922, 8561, 593, 5289, 13344, 543, 1463, 13341, 609, 519, 10513, 13336, 13469, 7184, 609, 1082, 3979, 4892, 5275, 24176, 267, 5583, 267, 543, 16882, 9624, 5571, 9620, 585, 7862, 543, 5126, 780, 26596, 614, 17144, 281, 4746, 1634, 607, 3204, 5055, 632, 744, 15939, 610, 12359, 636, 6403, 267, 5842, 614, 17144, 12090, 1851, 20665, 4639, 20338, 16487, 547, 18010, 1282, 519, 1098, 520, 23007, 10553, 4123, 269, 31943, 619, 5348, 4038, 1242, 962, 528, 18866, 4978, 543, 12738, 609, 4936, 7826, 12835, 2762, 267, 2870, 513, 7524, 10282, 540, 6805, 3979, 17035, 543, 3864, 7810, 3310, 269, 6239, 547, 5842, 614, 17144, 568, 519, 9006, 3130, 540, 2107, 880, 553, 267, 3532, 2820, 514, 885, 18220, 532, 1585, 3344, 540, 2067, 4229, 543, 1480, 1995, 269, 3414, 3662, 15093, 267, 14941, 2719, 267, 7544, 267, 543, 15896, 959, 1734, 267, 25058, 525, 3343, 7067, 267, 4027, 267, 543, 2792, 609, 18577, 14326, 269, 6736, 6849, 30886, 543, 20655, 2429, 1454, 540, 922, 1686, 267, 5842, 614, 17144, 814, 6591, 9962, 10343, 543, 6284, 607, 513, 16048, 3909, 2259, 267, 10452, 6626, 3466, 2509, 2686, 12683, 1143, 543, 7071, 585, 1019, 19166, 545, 6561, 780, 306, 2869, 3770, 932, 11699, 281, 12878, 2082, 1282, 519, 2038, 14206, 2540, 267, 20154, 932, 11699, 2099, 513, 19918, 1977, 11100, 540, 8567, 267, 32431, 5622, 267, 543, 3979, 5289, 1949, 269, 17848, 539, 538, 1715, 20252, 543, 6766, 676, 519, 960, 540, 13653, 12624, 23516, 344, 18722, 267, 20154, 932, 11699, 4225, 7067, 267, 28897, 267, 543, 4276, 609, 21549, 6068, 3283, 269, 14301, 2390, 513, 3638, 9371, 540, 8580, 675, 2021, 543, 3597, 7189, 267, 20154, 5783, 9439, 2308, 1585, 3029, 540, 9161, 9059, 267, 16909, 14319, 267, 543, 11755, 547, 2232, 2168, 22074, 543, 3929, 11605, 269, 22716, 1944, 1367, 8116, 543, 2123, 5539, 267, 20154, 932, 11699, 3895, 11455, 9716, 543, 16882, 267, 5356, 2200, 543, 1489, 585, 1346, 10188, 1272, 781, 2591, 543, 24604, 780, 6962, 1384, 3528, 6313, 519, 12583, 543, 4162, 540, 891, 3309, 4563, 3909, 5389, 267, 1053, 666, 5660, 519, 6988, 543, 30840, 7915, 538, 4563, 3909, 4082, 269, 3962, 1895, 9356, 3982, 6114, 547, 3838, 2833, 540, 15746, 267, 12761, 267, 543, 6668, 267, 13031, 2565, 4030, 883, 519, 28963, 540, 5198, 267, 5132, 267, 543, 2528, 538, 3013, 269, 5015, 267, 1620, 891, 2189, 5380, 2636, 721, 547, 4161, 1395, 18070, 10054, 827, 4563, 2538, 6685, 267, 5807, 3152, 2463, 267, 7279, 267, 543, 5188, 2066, 3017, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 14937, 15215, 538, 3013, 257, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 8466, 12745, 2580, 834, 274, 269, 8033, 340, 885, 543, 17972, 540, 4563, 15215, 2580, 834, 275, 269, 5811, 540, 11724, 725, 540, 3979, 12677, 9671, 6685, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 276, 269, 13891, 919, 538, 519, 12197, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 276, 269, 272, 269, 24531, 519, 12583, 540, 519, 3309, 5389, 7449, 25390, 896, 519, 7121, 540, 4563, 4984, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 6092, 5149, 281, 4197, 5783, 29934, 766, 538, 3013, 692, 8702, 267, 1762, 17701, 256, 4653, 267, 649, 2811, 2469, 547, 7832, 593, 513, 4241, 3460, 547, 1174, 1945, 4277, 827, 938, 2197, 910, 875, 1082, 1004, 979, 547, 5939, 1169, 3018, 256, 1411, 1522, 1589, 713, 4992, 2241, 267, 855, 972, 616, 2965, 930, 9670, 11580, 3297, 1346, 2338, 269, 1924, 10544, 707, 19792, 22970, 543, 1577, 781, 4685, 883, 519, 9814, 540, 5939, 20343, 538, 3013, 2439, 5331, 6972, 1524, 519, 8265, 593, 513, 13566, 10732, 6640, 269, 1215, 1082, 1004, 798, 596, 1589, 616, 16144, 547, 741, 2199, 5939, 286, 4340, 547, 930, 1135, 3149, 267, 899, 519, 3283, 5342, 676, 11829, 1575, 267, 1472, 476, 2412, 260, 540, 4892, 2161, 789, 7390, 5939, 593, 1022, 2016, 15964, 269, 2334, 4667, 899, 513, 7168, 2462, 1297, 267, 1318, 286, 1809, 1934, 781, 1141, 1919, 1205, 10578, 13718, 288, 812, 3957, 25303, 16819, 4956, 547, 8495, 2417, 269, 1261, 4941, 547, 1265, 856, 4010, 875, 1134, 1007, 13039, 630, 21406, 834, 577, 3420, 2371, 8442, 941, 3257, 2066, 519, 2136, 2276, 269, 1306, 851, 540, 1010, 7634, 267, 646, 3323, 9477, 20343, 693, 936, 476, 1220, 267, 1822, 4540, 13039, 1107, 602, 779, 513, 2603, 540, 4025, 540, 10847, 256, 901, 729, 1100, 2653, 4305, 267, 607, 621, 5921, 11018, 1344, 689, 5215, 2390, 5215, 540, 3909, 2950, 782, 936, 519, 4182, 780, 23219, 1066, 8068, 1945, 15116, 1247, 7421, 1010, 7372, 18061, 540, 1239, 269, 4634, 1498, 1034, 12220, 4080, 827, 476, 2412, 260, 540, 4892, 13984, 5939, 12353, 267, 950, 646, 6743, 5702, 693, 519, 2338, 267, 646, 1336, 602, 1447, 982, 476, 736, 260, 540, 873, 2965, 1705, 269, 2372, 924, 513, 3017, 267, 3884, 1405, 621, 286, 898, 7140, 856, 602, 23115, 856, 945, 4422, 547, 5939, 666, 581, 1454, 8945, 1512, 982, 1175, 6998, 11570, 952, 789, 798, 780, 3719, 1946, 1131, 972, 581, 971, 513, 5458, 7934, 1063, 1018, 1004, 1867, 543, 1018, 3173, 7747, 286, 4270, 267, 3006, 1004, 1616, 547, 2285, 4267, 789, 3494, 1866, 786, 29343, 540, 267, 1256, 952, 621, 781, 711, 7357, 3020, 269, 9320, 2576, 7959, 2604, 323, 547, 2161, 789, 4682, 547, 5939, 1317, 789, 1589, 621, 2306, 873, 1413, 1732, 610, 3514, 538, 609, 6848, 6788, 269, 3958, 267, 3965, 666, 1404, 15361, 593, 721, 282, 1004, 949, 7340, 2436, 789, 13984, 2533, 610, 3575, 909, 799, 9530, 904, 789, 4682, 780, 3383, 267, 1985, 942, 596, 5873, 2576, 6158, 827, 875, 1082, 4892, 979, 547, 5939, 267, 3314, 938, 2370, 19792, 1650, 256, 7464, 2338, 666, 1419, 9983, 721, 267, 2523, 950, 26500, 6456, 18408, 3217, 865, 1454, 960, 269, 3767, 596, 917, 602, 1620, 891, 1950, 2152, 3340, 9639, 267, 8990, 267, 543, 6266, 540, 20857, 1107, 1175, 899, 1373, 513, 1483, 3734, 11739, 3578, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2421, 31929, 4446, 5886, 543, 14811, 344, 8899, 787, 267, 5856, 585, 5939, 548, 19470, 2593, 630, 298, 11481, 590, 1002, 339, 3089, 994, 272, 269, 10815, 982, 476, 736, 260, 540, 4892, 5781, 7390, 5939, 2443, 3368, 540, 1018, 519, 3542, 9094, 1867, 563, 4407, 11829, 1575, 1135, 3149, 543, 824, 18802, 2103, 723, 5828, 538, 519, 1482, 6871, 2443, 827, 476, 2412, 260, 540, 519, 2551, 2443, 540, 3328, 15964, 5939, 28752, 585, 519, 2250, 476, 3583, 1296, 267, 513, 1114, 4990, 540, 1382, 19267, 3833, 513, 19635, 4605, 540, 875, 1082, 4892, 7390, 513, 2199, 5939, 593, 1022, 2016, 10732, 563, 22873, 6053, 19430, 547, 3605, 875, 5939, 2371, 538, 3013, 941, 2731, 3257, 267, 744, 28952, 267, 8689, 540, 5939, 9544, 585, 519, 5345, 13370, 673, 595, 19879, 5783, 630, 322, 990, 577, 3420, 3820, 1070, 3459, 10655, 1239, 538, 519, 3735, 968, 3199, 338, 267, 7930, 9750, 1010, 1382, 547, 7854, 2949, 20343, 3466, 538, 519, 5783, 269, 769, 1010, 1353, 267, 646, 27424, 519, 5993, 20343, 540, 811, 982, 476, 1220, 267, 1822, 1367, 18179, 4168, 13039, 630, 1492, 7608, 772, 2529, 269, 5939, 7122 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18411, 14756, 503, 27936, 22047, 12255, 14756, 482, 15358, 13127, 23687, 418, 375, 495, 20693, 357, 419, 359, 501, 9463, 352, 7511, 27962, 16533, 493, 737, 8147, 13644, 371, 19867, 378, 24731, 19867, 478, 20069, 418, 375, 495, 20693, 357, 419, 359, 501, 9463, 352, 19404, 490, 7511, 31006, 27962, 29219, 25707, 12916, 379, 17958, 22287, 499, 420, 364, 481, 421, 502, 509, 28578, 7511, 25913, 25622, 25335, 352, 30903, 502, 692, 28032, 489, 417, 28187, 23284, 31284, 13213, 498, 18713, 508, 1496, 274, 267, 274, 267, 276, 267, 276, 267, 277, 267, 278, 2639, 476, 17276, 375, 495, 20693, 357, 419, 359, 501, 9463, 352, 7511, 12916, 491, 419, 377, 362, 3546, 476, 31006, 27962, 29219, 454, 1366, 9339, 268, 25639, 476, 955, 8894, 314, 272, 476, 476, 274, 476, 910, 272, 316, 910, 274, 476, 476, 276, 476, 476, 274, 476, 476, 277, 476, 476, 278, 11434, 476, 274, 454, 476, 272, 1496, 274, 476, 910, 272, 476, 910, 274, 316, 476, 276, 476, 476, 274, 476, 476, 277, 476, 476, 278, 11434, 476, 274, 454, 476, 272, 476, 476, 274, 30585, 272, 476, 910, 274, 476, 476, 276, 316, 476, 274, 476, 476, 277, 476, 476, 278, 11434, 476, 276, 454, 476, 272, 476, 476, 274, 476, 910, 272, 30585, 274, 476, 476, 276, 476, 476, 274, 316, 476, 277, 476, 476, 278, 11434, 476, 276, 454, 476, 272, 476, 476, 274, 476, 910, 272, 476, 910, 274, 1496, 276, 476, 476, 274, 476, 476, 277, 316, 476, 278, 11434, 476, 277, 454, 476, 272, 476, 476, 274, 476, 910, 272, 476, 910, 274, 476, 476, 276, 1496, 274, 476, 476, 277, 476, 476, 278, 316, 8587, 476, 278, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 10774, 7699, 1673, 784, 7302, 340, 836, 10275, 537, 11546, 22271, 14241, 1673, 320, 22271, 6062, 2000, 1723, 325, 454, 18257, 692, 3698, 3193, 20228, 4575, 20360, 578, 4433, 333, 4548, 267, 737, 2187, 825, 1948, 6885, 20992, 20881, 496, 16583, 493, 421, 502, 509, 28578, 8147, 11858, 502, 418, 498, 378, 27381, 351, 19764, 499, 5405, 505, 637, 20992, 13213, 498, 18713, 508, 7511, 28578, 23989, 454, 825, 6885, 2073, 637, 815, 1496, 25662, 316, 3097, 8931, 825, 585, 1775, 538, 2039, 12759, 25225, 15892, 13872, 1038, 1948, 476, 21251, 13161, 511, 10254, 510, 30522, 353, 421, 502, 509, 16533, 378, 30317, 27381, 510, 25203, 368, 28996, 26406, 354, 31284, 23521, 354, 418, 493, 496, 24662, 13161, 364, 30317, 27381, 510, 418, 375, 350, 420, 370, 367, 22287, 499, 420, 364, 481, 26233, 356, 454, 1038, 1247, 6885, 543, 15358, 314, 30720, 15631, 272, 14963, 283, 333, 4548, 5157, 13912, 3097, 2018, 6885, 21014, 4590, 27030, 1038, 1948, 476, 10254, 510, 30522, 353, 30317, 27381, 510, 12571, 492, 418, 493, 496, 24662, 13161, 364, 30317, 27381, 510, 21928, 11133, 18809, 27381, 351, 19764, 499, 8147, 418, 493, 496, 24662, 29219, 417, 379, 483, 27936, 27962, 30678, 19867, 478, 20069, 10254, 510, 30522, 353, 29219, 8147, 32517, 507, 13644, 479, 29072, 31006, 27962, 29219, 11858, 502, 21928, 26233, 356, 454, 1038, 6885, 6910, 9217, 994, 13872, 1038, 1948, 476, 31006, 27962, 30317, 27381, 510, 26266, 366, 420, 370, 483, 24731, 419, 359, 501, 9463, 352, 26266, 355, 419, 360, 363, 8147, 13213, 485, 28793, 29072, 19867, 478, 23284, 4970, 351, 19764, 481, 454, 1038, 952, 6885, 314, 271, 316, 2652, 1775, 10275, 281, 3097, 2018, 6885, 21014, 263, 271, 994, 27030, 1038, 1948, 28884, 10524, 492, 21588, 361, 330, 14748, 12255, 29004, 362, 19764, 478, 417, 356, 489, 27447, 24731, 419, 511, 498, 418, 350, 486, 8147, 31176, 491, 30837, 351, 15159, 19540, 371, 12571, 363, 20693, 357, 16583, 484, 14035, 485, 421, 502, 370, 418, 362, 369, 454, 1038, 952, 1775, 13843, 330, 268, 272, 912, 2018, 759, 6910, 25225, 314, 30720, 314, 271, 316, 7481, 27030, 825, 2132, 759, 692, 333, 4548, 815, 1496, 275, 267, 274, 267, 273, 267, 276, 267, 277, 267, 278, 267, 275, 267, 276, 267, 280, 267, 277, 267, 278, 267, 274, 267, 275, 267, 277, 267, 276, 267, 273, 267, 275, 267, 274, 267, 277, 267, 276, 267, 278, 267, 274, 267, 276, 267, 275, 267, 277, 267, 272, 267, 274, 267, 276, 267, 278, 267, 275, 267, 277, 267, 273, 267, 274, 267, 275, 2639, 330, 815, 476, 274, 692, 2745, 32384, 20228, 4575, 20360, 578, 25225, 267, 737, 4297, 0, 5814, 10070, 19638, 5035, 645, 4306, 24998, 17107, 825, 1362, 9041, 11966, 24998, 17107, 1038, 1219, 6449, 8181, 9191, 1345, 267, 1883, 267, 1871, 267, 562, 2187, 2018, 1582, 269, 4486, 815, 1883, 454, 2018, 1582, 27841, 815, 1871, 3097, 2018, 1582, 8542, 815, 562, 1948, 10831, 540, 5705, 4181, 12082, 693, 713, 6843, 563, 2018, 1582, 16000, 267, 1582, 16192, 815, 7183, 267, 7183, 692, 1038, 1219, 6449, 1598, 9191, 1345, 2187, 2018, 2132, 834, 346, 298, 4153, 333, 341, 28121, 309, 348, 715, 28121, 301, 348, 2668, 8971, 18692, 7386, 918, 284, 1345, 269, 4486, 267, 966, 284, 1345, 27841, 267, 715, 284, 1345, 8542, 2020, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 7183, 454, 1038, 1582, 269, 6665, 1243, 815, 7183, 1948, 11390, 10134, 3950, 540, 519, 1034, 5063, 10272, 6843, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 1582, 25915, 692, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 2132, 1582, 269, 10174, 14857, 3438, 9191, 2020, 825, 1219, 6449, 3553, 14403, 9191, 1345, 267, 737, 267, 642, 2187, 1038, 1582, 269, 1584, 17347, 267, 341, 2020, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 2187, 1038, 2132, 1582, 10947, 31107, 994, 8931, 825, 1219, 6449, 935, 13935, 9191, 1345, 267, 1883, 2187, 1038, 952, 1582, 10947, 31107, 2187, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 1582, 25915, 3890, 2652, 476, 271, 692, 825, 1219, 2450, 4311, 2187, 1038, 2132, 1582, 11519, 21653, 4311, 269, 10174, 2020, 825, 1219, 9041, 21653, 4311, 267, 28364, 17045, 2187, 1038, 952, 28364, 17045, 568, 7183, 281, 2132, 476, 271, 454, 1038, 3116, 281, 2132, 28364, 17045, 8542, 692, 825, 1219, 2322, 4311, 267, 1883, 267, 1871, 2187, 1038, 952, 1883, 568, 7183, 281, 3097, 2018, 6318, 1401, 4003, 2891, 4692, 1405, 2322, 513, 1871, 609, 1100, 1883, 256, 262, 5602, 1038, 952, 1871, 568, 7183, 912, 2018, 1582, 19709, 8541, 31107, 994, 2018, 2132, 454, 1038, 1582, 269, 10174, 815, 1582, 11519, 1584, 4311, 269, 10174, 267, 1883, 267, 1871, 2020, 825, 1219, 9041, 1584, 4311, 267, 28364, 17045, 267, 1883, 267, 1871, 2187, 1038, 1582, 269, 6665, 1243, 815, 28364, 17045, 454, 1038, 952, 28364, 17045, 568, 7183, 912, 19930, 28364, 17045, 815, 1582, 11519, 11966, 31107, 267, 1871, 267, 476, 272, 994, 19930, 2132, 28364, 17045, 28329, 1038, 952, 1883, 3436, 28364, 17045, 269, 4486, 912, 2018, 28364, 17045, 16192, 815, 1582, 11519, 1584, 263, 2017, 337, 17045, 16192, 267, 1883, 267, 1871, 994, 1038, 8640, 1883, 2999, 28364, 17045, 269, 4486, 912, 2018, 28364, 17045, 16000, 815, 1582, 11519, 1584, 263, 2017, 337, 17045, 16000, 267, 1883, 267, 1871, 994, 1038, 3116, 912, 2018, 28364, 17045, 27841, 815, 1871, 692, 1038, 28364, 17045, 8542, 815, 476, 272, 1341, 1582, 11519, 21653, 263, 2017, 337, 17045, 16000, 264, 1341, 1582, 11519, 21653, 263, 2017, 337, 17045, 16192, 994, 1038, 2132, 28364, 17045, 692, 825, 1219, 1205, 4311, 267, 1883, 2187, 1038, 2132, 1582, 11519, 1326, 4311, 269, 10174, 267, 1883, 2020, 825, 1219, 9041, 1326, 4311, 267, 28364, 17045, 267, 1883, 2187, 1038, 1582, 269, 6665, 1243, 815, 28364, 17045, 454, 1038, 952, 28364, 17045, 568, 7183, 281, 2132, 7183, 454, 1038, 952, 1883, 3436, 28364, 17045, 269, 4486, 912, 2018, 2132, 1582, 11519, 1326, 263, 2017, 337, 17045, 16192, 267, 1883, 994, 1038, 8640, 1883, 2999, 28364, 17045, 269, 4486, 912, 2018, 2132, 1582, 11519, 1326, 263, 2017, 337, 17045, 16000, 267, 1883, 994, 1038, 3116, 912, 2018, 2132, 28364, 17045, 27841, 22562, 825, 1219, 3193, 4311, 2187, 1038, 952, 1582, 18994, 318, 24105, 263, 2567, 6318, 1401, 4003, 2891, 21698, 568, 8900, 32405, 1038, 1535, 815, 1582, 11519, 10946, 4311, 269, 10174, 994, 1038, 2132, 1535, 269, 4486, 692, 825, 1219, 9041, 10946, 4311, 267, 28364, 17045, 2187, 1038, 952, 28364, 17045, 16192, 568, 7183, 281, 2132, 28364, 17045, 3097, 1038, 2132, 1582, 11519, 10946, 263, 2017, 337, 17045, 16192, 2020, 825, 1219, 1295, 4311, 2187, 1038, 1535, 815, 1582, 11519, 2381, 4311, 269, 10174, 994, 1038, 2132, 1535, 269, 4486, 454, 672, 3097, 825, 1219, 9041, 2381, 4311, 267, 28364, 17045, 2187, 1038, 952, 28364, 17045, 16000, 568, 7183, 281, 2132, 28364, 17045, 454, 1038, 2132, 1582, 11519, 2381, 263, 2017, 337, 17045, 16000, 9239, 825, 1219, 6989, 4311, 267, 1883, 2187, 1038, 1535, 815, 1582, 11519, 28776, 4311, 269, 10174, 267, 1883, 994, 1038, 952, 1535, 568, 7183, 281, 6318, 1401, 4003, 2891, 5591, 971, 3693, 538, 519, 3529, 5602, 1038, 2132, 1535, 269, 4486, 7531, 825, 1219, 9041, 28776, 4311, 267, 28364, 17045, 267, 1883, 2187, 1038, 952, 28364, 17045, 568, 7183, 281, 2132, 7183, 454, 1038, 952, 28364, 17045, 269, 4486, 2652, 1883, 281, 2132, 28364, 17045, 454, 1038, 8640, 1883, 2999, 28364, 17045, 269, 4486, 281, 2132, 1582, 11519, 28776, 263, 2017, 337, 17045, 16000, 267, 1883, 2020, 1038, 1535, 815, 1582, 11519, 28776, 263, 2017, 337, 17045, 16192, 267, 1883, 994, 1038, 952, 1535, 568, 711, 7183, 281, 3097, 2018, 2132, 1535, 454, 1038, 3116, 281, 3097, 2018, 2132, 28364, 17045, 8528, 825, 1219, 18109, 4311, 267, 1883, 2187, 1038, 1535, 815, 1582, 11519, 576, 4979, 4311, 269, 10174, 267, 1883, 994, 1038, 952, 1535, 568, 7183, 281, 6318, 1401, 4003, 2891, 5591, 971, 3693, 538, 519, 3529, 23528, 1038, 2132, 1535, 269, 4486, 692, 825, 1219, 9041, 576, 4979, 4311, 267, 28364, 17045, 267, 1883, 2187, 1038, 952, 28364, 17045, 568, 7183, 281, 2132, 7183, 454, 1038, 952, 28364, 17045, 269, 4486, 2652, 1883, 281, 2132, 28364, 17045, 454, 1038, 8640, 1883, 3436, 28364, 17045, 269, 4486, 281, 2132, 1582, 11519, 576, 4979, 263, 2017, 337, 17045, 16192, 267, 1883, 2020, 1038, 1535, 815, 1582, 11519, 576, 4979, 263, 2017, 337, 17045, 16000, 267, 1883, 994, 1038, 952, 1535, 568, 711, 7183, 912, 2018, 2132, 1535, 454, 1038, 3116, 912, 2018, 2132, 28364, 17045, 7531, 825, 1219, 7584, 4311, 267, 1883, 2187, 1038, 2132, 1582, 11519, 17213, 4311, 269, 10174, 267, 1883, 2020, 825, 1219, 9041, 17213, 4311, 267, 28364, 17045, 267, 1883, 2187, 1038, 952, 28364, 17045, 568, 7183, 281, 3097, 2018, 2132, 476, 271, 692, 1038, 952, 1883, 2999, 28364, 17045, 269, 4486, 912, 2018, 2132, 1582, 11519, 17213, 263, 2017, 337, 17045, 16000, 267, 1883, 994, 1038, 8640, 1883, 3436, 28364, 17045, 269, 4486, 912, 2018, 2132, 476, 272, 1341, 1582, 11519, 21653, 263, 2017, 337, 17045, 16000, 264, 1341, 1582, 11519, 17213, 263, 2017, 337, 17045, 16192, 267, 1883, 994, 1038, 3116, 912, 2018, 2132, 1582, 11519, 21653, 263, 2017, 337, 17045, 16000, 2020, 8931, 825, 1219, 2824, 4311, 267, 737, 2187, 1038, 952, 737, 2999, 476, 271, 610, 737, 13843, 1582, 25915, 263, 2567, 6318, 1401, 4003, 2891, 296, 331, 29729, 1883, 1031, 607, 4661, 23528, 1038, 1535, 815, 1582, 11519, 572, 937, 4311, 269, 10174, 267, 737, 994, 1038, 2132, 1535, 269, 4486, 692, 825, 1219, 9041, 572, 937, 4311, 267, 28364, 17045, 267, 737, 2187, 1038, 952, 28364, 17045, 568, 7183, 281, 2132, 7183, 454, 1038, 512, 815, 1582, 11519, 21653, 263, 2017, 337, 17045, 16000, 994, 1038, 952, 512, 3436, 737, 281, 2132, 1582, 11519, 572, 937, 263, 2017, 337, 17045, 16000, 267, 737, 994, 1038, 8640, 512, 2999, 737, 281, 2132, 1582, 11519, 572, 937, 263, 2017, 337, 17045, 16192, 267, 737, 994, 1038, 3116, 281, 2132, 28364, 17045, 692, 825, 1219, 18419, 28804, 4311, 2187, 1038, 952, 1582, 18994, 318, 24105, 263, 2567, 6318, 1401, 4003, 2891, 21698, 568, 8900, 267, 1100, 971, 3693, 547, 581, 25216, 23528, 1038, 3597, 815, 1582, 11519, 1372, 8541, 28804, 4311, 269, 10174, 2020, 825, 1219, 9041, 1372, 8541, 28804, 4311, 267, 28364, 17045, 2187, 1038, 952, 28364, 17045, 16000, 568, 7183, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 6014, 8747, 267, 593, 519, 824, 1688, 267, 11168, 519, 957, 540, 1603, 519, 5728, 2012, 543, 29780, 621, 883, 513, 13570, 540, 519, 2212, 630, 17141, 519, 5023, 1070, 606, 957, 799, 676, 4214, 1219, 625, 12332, 269, 898, 568, 711, 513, 9589, 11963, 602, 6770, 519, 717, 1961, 332, 547, 1272, 282, 621, 568, 606, 957, 540, 7924, 267, 602, 568, 267, 606, 957, 540, 2542, 267, 4974, 267, 543, 1603, 267, 799, 616, 782, 1199, 14591, 593, 519, 2470, 540, 2696, 269, 901, 957, 9244, 9883, 3294, 689, 519, 8580, 1005, 1379, 540, 519, 1913, 1031, 676, 717, 3234, 332, 779, 20822, 2048, 8072, 16269, 16224, 685, 1141, 2048, 8072, 9928, 1335, 5069, 874, 23768, 685, 685, 568, 811, 899, 705, 2350, 611, 629, 571, 269, 5047, 713, 957, 540, 7924, 568, 827, 556, 8586, 610, 29379, 532, 519, 5137, 538, 3798, 523, 676, 22151, 519, 10143, 5639, 883, 519, 2854, 1106, 540, 519, 10143, 2012, 269, 898, 1131, 3100, 267, 1287, 267, 602, 1152, 513, 14558, 328, 609, 513, 1808, 2012, 666, 1852, 519, 10513, 8745, 269, 2494, 1522, 711, 581, 2111, 547, 3717, 585, 2696, 267, 855, 646, 666, 10839, 1864, 593, 533, 1105, 618, 563, 1765, 1692, 519, 717, 1961, 332, 595, 877, 547, 26285, 826, 281, 3798, 534, 1546, 30448, 543, 6424, 717, 656, 339, 717, 584, 2917, 0, 4537, 12976, 476, 272, 910, 476, 1626, 540, 476, 28906, 11778, 454, 19340, 540, 12567, 12518, 281, 519, 1715, 9576, 29088, 12734, 5980, 9218, 676, 4460, 26186, 603, 338, 630, 4029, 5463, 476, 1960, 275, 994, 305, 9391, 16503, 3603, 9218, 540, 29972, 676, 7812, 2717, 6674, 543, 4460, 26186, 603, 338, 630, 277, 4239, 476, 1220, 276, 994, 763, 2051, 712, 9218, 540, 12567, 12518, 630, 294, 731, 2287, 264, 676, 28820, 15442, 966, 564, 341, 1157, 320, 543, 966, 18431, 320, 4223, 748, 13960, 630, 272, 3967, 476, 1220, 271, 994, 763, 681, 9391, 1744, 7163, 9218, 540, 29972, 2433, 589, 18043, 543, 12708, 13129, 676, 9576, 29088, 12734, 5980, 267, 7812, 2717, 6674, 267, 4460, 26186, 603, 338, 543, 6682, 8759, 4325, 697, 630, 2537, 4239, 476, 1960, 279, 994, 763, 21322, 17286, 2421, 15636, 19680, 25052, 16503, 3603, 9218, 540, 2107, 577, 573, 2637, 5028, 630, 4467, 18450, 3883, 264, 676, 623, 1122, 4445, 1325, 5341, 543, 24380, 2917, 11612, 326, 1231, 630, 275, 9484, 476, 1220, 279, 994, 268, 11352, 538, 519, 1985, 476, 1428, 3108, 543, 1205, 621, 676, 11016, 267, 4455, 476, 1839, 563, 268, 8307, 476, 273, 2451, 538, 6006, 910, 1931, 4166, 563, 268, 2859, 9140, 5079, 910, 10434, 16225, 454, 268, 11278, 1321, 269, 4817, 1007, 630, 2641, 3091, 994, 268, 11278, 1321, 269, 10436, 1031, 630, 736, 3091, 994, 268, 4432, 580, 1043, 585, 17676, 8111, 590, 11232, 24822, 563, 268, 590, 749, 713, 1394, 585, 606, 8835, 16691, 16896, 717, 3424, 9315, 454, 1805, 792, 333, 781, 9218, 540, 7233, 18780, 585, 12567, 619, 281, 589, 18361, 593, 519, 18882, 543, 12791, 540, 519, 15636, 19680, 18780, 1862, 676, 5261, 570, 269, 853, 792, 333, 630, 22261, 476, 1960, 273, 994, 763, 1715, 681, 9391, 9218, 540, 29972, 630, 275, 5292, 6979, 264, 676, 9576, 29088, 12734, 5980, 267, 20900, 670, 5060, 2917, 267, 4460, 26186, 603, 338, 543, 12540, 582, 2274, 11803, 630, 2767, 4455, 476, 1960, 273, 994, 763, 9218, 540, 12567, 12518, 538, 2051, 712, 676, 20858, 15917, 543, 18536, 631, 3739, 2023, 14271, 613, 630, 21801, 476, 3422, 280, 994, 1805, 792, 333, 781, 9218, 540, 7233, 18780, 585, 12567, 619, 281, 589, 18361, 593, 519, 18882, 543, 12791, 540, 519, 15636, 19680, 18780, 1862, 676, 5261, 570, 269, 853, 792, 333, 630, 1015, 4239, 476, 1220, 273, 994, 763, 8493, 10273, 781, 9218, 540, 29088, 12734, 16301, 676, 29733, 20045, 755, 543, 7325, 773, 13879, 630, 272, 3967, 476, 1220, 271, 994, 763, 2051, 712, 9218, 540, 12567, 12518, 2060, 5600, 543, 5682, 5264, 12518, 676, 20858, 15917, 543, 18536, 631, 3739, 2023, 14271, 613, 630, 3066, 4239, 476, 1960, 273, 264, 0, 9336, 4557, 1296, 610, 865, 267, 2825, 2042, 2097, 547, 519, 2062, 543, 6608, 946, 513, 2603, 540, 1648, 3843, 547, 1265, 3435, 547, 2042, 971, 607, 2518, 8337, 267, 2518, 9023, 267, 2067, 4199, 10868, 543, 936, 1922, 5109, 269, 1284, 616, 2469, 998, 835, 971, 5123, 693, 519, 4090, 563, 2026, 23597, 267, 649, 1058, 540, 1576, 1589, 540, 519, 2115, 540, 2104, 5481, 543, 649, 1058, 1416, 585, 519, 2813, 7122, 269, 11569, 267, 938, 1378, 2199, 645, 25615, 10554, 3370, 513, 3561, 593, 519, 1604, 538, 476, 1220, 273, 1498, 621, 2451, 1454, 547, 581, 5551, 563, 2467, 616, 1614, 2035, 538, 7826, 4317, 9752, 602, 616, 1419, 4371, 538, 16268, 8082, 543, 602, 616, 4143, 547, 2825, 2152, 269, 634, 1101, 568, 519, 2215, 2329, 540, 4357, 3959, 543, 519, 13190, 540, 2043, 543, 3885, 269, 19627, 267, 972, 568, 519, 8471, 10278, 540, 5370, 543, 519, 6284, 602, 4357, 3959, 267, 1498, 1360, 1271, 267, 568, 711, 5485, 4592, 534, 551, 269, 12059, 569, 267, 972, 568, 519, 10206, 602, 2229, 1058, 2141, 13789, 538, 971, 513, 1259, 602, 8992, 519, 1455, 1434, 281, 3622, 998, 5885, 3889, 538, 799, 649, 666, 30593, 938, 1378, 16048, 2115, 607, 2043, 267, 3885, 543, 538, 17319, 12205, 267, 538, 13076, 609, 519, 6240, 540, 13564, 3511, 640, 269, 1452, 2093, 616, 3226, 5363, 538, 3206, 827, 2825, 2042, 269, 2052, 519, 1455, 1434, 543, 519, 2924, 540, 782, 9082, 547, 513, 14064, 1881, 2713, 581, 5265, 6039, 538, 519, 2361, 540, 2825, 3609, 676, 519, 5238, 540, 4357, 3959, 267, 20690, 2740, 676, 513, 2344, 4346, 888, 5978, 645, 25615, 941, 521, 1061, 673, 540, 713, 1935, 538, 741, 3561, 269, 1358, 941, 849, 3810, 533, 612, 574, 2065, 269, 769, 741, 1913, 281, 27202, 5032, 338, 723, 1044, 5828, 883, 694, 9955, 267, 15417, 3037, 6013, 3046, 1066, 610, 814, 5828, 883, 9390, 269, 5983, 7370, 267, 1419, 4330, 607, 519, 9641, 540, 519, 3618, 267, 616, 4389, 547, 729, 339, 14657, 267, 543, 4872, 616, 669, 12097, 609, 1159, 690, 269, 634, 645, 25615, 1287, 1448, 856, 602, 621, 568, 1141, 6710, 6818, 602, 2825, 2042, 616, 693, 741, 1034, 8650, 543, 602, 3959, 2924, 1590, 581, 11658, 547, 4308, 609, 2825, 2042, 563, 26807, 569, 713, 6609, 540, 2825, 3284, 5914, 2988, 572, 12217, 1100, 2078, 547, 519, 5168, 538, 519, 2919, 1158, 610, 538, 938, 1378, 2197, 269, 769, 519, 5177, 267, 3084, 4747, 829, 2212, 814, 811, 982, 23060, 2094, 476, 3192, 271, 2943, 1648, 6165, 814, 2799, 676, 1152, 476, 1724, 260, 543, 14919, 5434, 723, 15468, 676, 476, 2568, 10065, 634, 3977, 540, 782, 2101, 14107, 1185, 12628, 547, 513, 3791, 610, 513, 10116, 540, 741, 476, 3192, 271, 2157, 676, 519, 1439, 540, 519, 476, 736, 628, 2540, 563, 2005, 568, 3020, 602, 519, 4057, 7985, 811, 689, 2825, 2042, 269, 1809, 649, 1058, 581, 6297, 875, 649, 1577, 713, 1249, 1860, 938, 3206, 593, 679, 1333, 1889, 0, 24342, 476, 272, 1700, 1015, 540, 476, 866, 585, 834, 10501, 5382, 257, 311, 1644, 547, 834, 6124, 9799, 6547, 666, 3589, 29389, 4676, 710, 2659, 9612, 4676, 710, 2659, 9612, 13445, 19733, 630, 1321, 264, 295, 4353, 1299, 15978, 630, 277, 264, 14818, 532, 2152, 630, 273, 264, 2304, 3806, 630, 272, 264, 31624, 2391, 630, 272, 264, 476, 278, 811, 1862, 1496, 266, 316, 5753, 630, 272, 264, 5719, 987, 1299, 12955, 630, 272, 264, 12831, 1833, 630, 272, 264, 10387, 10899, 1072, 630, 272, 264, 31094, 1275, 630, 272, 264, 305, 864, 630, 272, 264, 18131, 1299, 2367, 630, 272, 264, 295, 728, 3877, 291, 17805, 7392, 10501, 5382, 311, 12041, 270, 6944, 1026, 12460, 19322, 2023, 267, 14529, 3121, 808, 269, 630, 272, 264, 22512, 344, 267, 7812, 623, 269, 630, 272, 264, 293, 832, 2814, 267, 12448, 667, 269, 630, 272, 264, 294, 12646, 267, 9995, 571, 630, 272, 264, 298, 664, 267, 30621, 630, 272, 264, 476, 275, 811, 1862, 1496, 266, 316, 918, 817, 577, 879, 267, 9400, 589, 269, 630, 272, 264, 17442, 309, 334, 773, 267, 30129, 700, 269, 630, 272, 264, 302, 262, 8867, 776, 267, 7788, 630, 272, 264, 30262, 1676, 267, 7812, 808, 269, 630, 272, 264, 295, 728, 3877, 11778, 476, 272, 1700, 1015, 540, 476, 866, 19881, 476, 272, 476, 273, 8921, 25684, 7170, 589, 19053, 7170, 2098, 5025, 1715, 652, 3689, 6196, 652, 3689, 23037, 676, 281, 476, 272, 269, 8893, 476, 273, 281, 17520, 15136, 543, 24622, 6737, 845, 15136, 288, 3992, 1544, 602, 2882, 2143, 1344, 593, 4160, 4713, 630, 302, 7374, 267, 20902, 4160, 4524, 267, 943, 14113, 543, 11784, 4524, 264, 543, 7713, 1474, 6737, 845, 4713, 5861, 584, 5382, 476, 273, 6993, 551, 2032, 476, 275, 269, 272, 281, 8682, 5025, 1087, 20156, 540, 12870, 10112, 31757, 4965, 568, 1360, 1271, 1317, 540, 519, 2178, 3095, 1063, 4965, 543, 11980, 269, 901, 3296, 2488, 513, 1582, 268, 7992, 4336, 585, 4965, 602, 666, 581, 13950, 538, 513, 1906, 3764, 5861, 584, 5382, 476, 274, 6993, 551, 2032, 476, 272, 269, 274, 281, 634, 4201, 21978, 32471, 748, 3590, 763, 8238, 5669, 8401, 1062, 5161, 540, 1079, 5036, 540, 13285, 602, 723, 23483, 610, 20102, 7409, 7480, 2360, 5861, 584, 5382, 476, 275, 269, 22826, 17785, 16847, 281, 21835, 528, 5900, 3363, 4437, 553, 763, 1905, 626, 8456, 543, 12886, 616, 1271, 547, 2127, 540, 1353, 538, 6530, 538, 602, 789, 1764, 593, 519, 1184, 540, 21911, 269, 15099, 476, 276, 6993, 551, 2032, 476, 272, 269, 274, 281, 634, 6184, 534, 640, 20167, 320, 1103, 4516, 543, 1614, 21144, 2195, 540, 519, 2829, 267, 519, 11411, 540, 6169, 814, 17146, 547, 519, 8878, 267, 799, 1590, 6961, 519, 24769, 1202, 2033, 269, 4347, 754, 1218, 1590, 1397, 789, 1705, 711, 1174, 519, 4636, 6888, 540, 741, 6411, 5861, 584, 5382, 476, 277, 269, 29197, 1145, 28951, 17361, 10743, 2594, 741, 10332, 1145, 543, 1560, 2837, 1282, 606, 2534, 5861, 584, 5382, 476, 278, 6993, 551, 2032, 476, 273, 269, 275, 281, 4039, 908, 10610, 18323, 543, 8562, 6598, 681, 15219, 916, 10743, 2557, 2933, 593, 606, 10332, 1145, 4336, 1142, 942, 513, 2837, 2542, 568, 6592, 267, 6313, 875, 513, 5626, 4756, 11385, 919, 538, 6476, 547, 1560, 10917, 1155, 5861, 584, 5382, 476, 279, 269, 22826, 17785, 16847, 281, 13038, 13809, 543, 589, 1749, 7304, 601, 730, 645, 699, 29713, 10144, 945, 20494, 557, 519, 2669, 540, 2576, 689, 7486, 5829, 8374, 1419, 849, 3068, 513, 2189, 1305, 540, 2152, 602, 2591, 3140, 3631, 540, 581, 516, 29713, 630, 298, 664, 267, 476, 1960, 278, 1040, 15099, 476, 280, 8160, 582, 17300, 25705, 9752, 17785, 16847, 19522, 585, 3450, 519, 1909, 540, 8404, 538, 5042, 3157, 971, 607, 3375, 6194, 543, 10182, 1689, 607, 15091, 676, 2098, 10216, 918, 1495, 320, 630, 1960, 271, 264, 543, 19134, 543, 15168, 337, 731, 630, 1960, 278, 1040, 1452, 2090, 5641, 8969, 593, 519, 3351, 9107, 267, 834, 16884, 257, 3631, 540, 8965, 3375, 1818, 2390, 799, 1382, 3823, 11557, 1302, 3690, 4784, 8376, 630, 4306, 291, 264, 543, 824, 1072, 13319, 7933, 1047, 848, 6604, 4867, 26520, 5861, 584, 5382, 476, 1015, 6993, 551, 2032, 476, 275, 269, 272, 281, 5274, 30248, 10387, 10056, 666, 581, 3989, 607, 513, 6857, 1995, 1519, 513, 1533, 540, 630, 31850, 8344, 264, 26901, 531, 543, 513, 1199, 23550, 7664, 5861, 584, 5382, 19881, 476, 272, 476, 273, 8921, 25684, 7170, 589, 19053, 7170, 2098, 5025, 1715, 652, 3689, 6196, 652, 3689, 23037, 676, 281, 5084, 23615, 2316, 306, 30121, 11778, 476, 272, 1700, 1015, 540, 476, 866, 585, 834, 10501, 5382, 257, 311, 1644, 547, 834, 6124, 9799, 6547, 666, 3589, 29389, 0, 295, 527, 25764, 6820, 19554, 16370, 630, 295, 294, 4306, 1070, 11262, 676, 5375, 7913, 15278, 630, 310, 17584, 1070, 3323, 11288, 922, 476, 277, 1768, 17879, 974, 630, 307, 289, 264, 4477, 1756, 23752, 4859, 5397, 267, 8299, 2858, 541, 1261, 277, 267, 4505, 713, 3923, 269, 4340, 547, 670, 294, 4306, 267, 519, 4477, 1756, 5397, 27499, 1447, 1379, 982, 1312, 2834, 2182, 12210, 11479, 630, 8461, 17762, 264, 543, 4396, 1533, 11479, 630, 7704, 17762, 1070, 1247, 8506 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 476, 276, 17778, 630, 31936, 9669, 994, 268, 1215, 547, 4518, 3245, 5851, 585, 519, 3689, 5384, 630, 4415, 9669, 994, 268, 476, 280, 18467, 547, 18224, 15557, 538, 16711, 630, 4415, 6201, 264, 0, 763, 13169, 568, 513, 1826, 540, 13989, 602, 2882, 513, 1978, 3693, 540, 4960, 269, 2755, 621, 568, 513, 2442, 1259, 585, 1004, 547, 6318, 2724, 267, 972, 616, 930, 17498, 1938, 547, 4730, 519, 13169, 267, 2523, 952, 596, 1831, 29279, 547, 621, 269, 1403, 596, 1404, 1932, 1454, 267, 596, 1223, 2965, 2569, 707, 2298, 540, 1272, 269, 2334, 779, 1946, 621, 779, 1271, 547, 917, 875, 547, 2057, 4742, 29279, 547, 519, 13169, 563, 299, 582, 6670, 568, 513, 1106, 540, 13989, 609, 606, 3693, 540, 4960, 454, 288, 13169, 568, 513, 1826, 540, 13989, 602, 14122, 11449, 6266, 543, 513, 4960, 547, 3094, 513, 16101, 269, 634, 8458, 540, 10888, 513, 13169, 4096, 9003, 593, 4960, 267, 865, 713, 1826, 540, 13989, 3322, 1100, 5578, 269, 1717, 267, 519, 13169, 1590, 581, 2196, 9425, 865, 602, 1169, 2603, 814, 513, 4960, 540, 10888, 269, 769, 1840, 267, 596, 666, 2333, 707, 8458, 540, 10888, 676, 11449, 811, 982, 835, 2603, 563, 763, 1034, 2596, 1106, 540, 13169, 568, 513, 986, 742, 548, 269, 32402, 1115, 616, 4421, 609, 18615, 2338, 267, 543, 7222, 2338, 616, 2322, 538, 513, 20220, 269, 1879, 513, 10888, 1297, 568, 6537, 267, 513, 19044, 568, 15504, 689, 519, 20220, 267, 543, 519, 1268, 8066, 602, 19044, 6811, 519, 16101, 269, 634, 2724, 2016, 585, 519, 19044, 568, 2808, 968, 4621, 573, 3130, 1848, 634, 16101, 568, 519, 1843, 540, 519, 986, 742, 548, 267, 543, 519, 1843, 540, 519, 13169, 568, 547, 1118, 2724, 563, 2005, 12651, 2724, 454, 288, 13169, 568, 513, 2508, 24597, 2680, 538, 799, 1004, 666, 3094, 2724, 269, 4107, 2829, 946, 519, 13169, 547, 2508, 1585, 3292, 267, 543, 519, 23131, 948, 2508, 1857, 2533, 269, 634, 2724, 689, 519, 13169, 568, 1419, 1031, 585, 513, 3099, 540, 4128, 267, 1519, 5466, 13989, 8213, 543, 5355, 519, 1857, 1072, 543, 3106, 269, 634, 13169, 849, 2337, 1347, 885, 6318, 2724, 269, 898, 568, 606, 24539, 585, 1004, 547, 24946, 543, 666, 948, 4482, 1007, 18793, 269, 898, 568, 14931, 676, 519, 32573, 1782, 8189, 563, 763, 13169, 2724, 666, 849, 581, 1031, 547, 1489, 3872, 3292, 269, 634, 3345, 10491, 2776, 11860, 1982, 267, 585, 3236, 267, 2488, 513, 1863, 267, 4081, 840, 17469, 2069, 547, 2185, 4458, 6040, 1453, 945, 616, 693, 1981, 540, 9991, 3297, 269, 4065, 568, 519, 1883, 547, 1967, 269, 634, 13169, 2724, 568, 1031, 585, 513, 3099, 540, 1114, 3785, 267, 543, 1876, 16234, 6430, 799, 3283, 547, 2508, 269, 1717, 267, 865, 2484, 267, 9777, 2209, 723, 711, 6074, 547, 946, 13169, 7482, 585, 4928, 7727, 563, 2005, 666, 581, 22925, 454, 294, 3711, 1782, 593, 519, 13169, 568, 5906, 585, 1896, 4128, 269, 3689, 540, 782, 267, 13169, 13989, 666, 1291, 547, 8213, 269, 634, 2817, 7027, 593, 9046, 32573, 1782, 9193, 602, 909, 547, 476, 272, 260, 540, 519, 2475, 2551, 23119, 689, 27690, 13989, 267, 1247, 1776, 476, 273, 260, 547, 476, 274, 260, 7985, 689, 13989, 5829, 2152, 269, 5822, 267, 13989, 8213, 568, 2147, 547, 824, 3029, 540, 8213, 267, 971, 607, 29015, 610, 3075, 8213, 269, 3958, 267, 2721, 2861, 3756, 616, 1419, 24891, 5061, 602, 1291, 547, 26739, 538, 8213, 17376, 821, 2043, 563, 763, 1184, 540, 6051, 6238, 609, 16561, 602, 596, 723, 513, 1966, 269, 4107, 13169, 13982, 338, 798, 711, 8275, 789, 723, 513, 1966, 267, 543, 789, 2119, 547, 18609, 2933, 602, 789, 2461, 711, 29279, 269, 898, 949, 1491, 513, 1920, 4759, 610, 2673, 3659, 547, 1448, 856, 519, 1966, 543, 3196, 519, 1268, 547, 13720, 621, 563, 2005, 666, 1291, 547, 513, 7771, 538, 2298, 540, 1272, 454, 4407, 11449, 17914, 585, 519, 13169, 568, 711, 513, 3226, 7199, 15908, 267, 519, 3790, 666, 1039, 909, 936, 942, 269, 769, 1840, 267, 519, 8458, 540, 10888, 513, 2462, 13544, 13607, 899, 519, 631, 9298, 7085, 687, 616, 5393, 28489, 269, 4634, 952, 596, 798, 3094, 267, 596, 949, 581, 1447, 1543, 609, 707, 1272, 982, 952, 596, 1185, 4465, 4986, 269, 901, 568, 1317, 707, 8788, 543, 2298, 540, 1272, 949, 581, 12936, 952, 596, 6108, 811, 942, 4730, 519, 13169, 563, 763, 4589, 540, 519, 1353, 13657, 539, 1996, 5373, 17046, 8753, 689, 741, 1353, 269, 898, 568, 1271, 547, 3314, 602, 13169, 23602, 616, 711, 11347, 540, 782, 2043, 267, 543, 15295, 4162, 798, 711, 4628, 2491, 519, 3604, 538, 3838, 27742, 827, 960, 269, 769, 1840, 267, 13169, 3094, 11789, 616, 1152, 835, 2268, 540, 513, 1268, 779, 960, 2802, 545, 563, 2005, 666, 581, 513, 1106, 540, 6456, 3454, 454, 6624, 1004, 8044, 602, 519, 13169, 568, 513, 1106, 540, 6456, 3454, 267, 607, 621, 2636, 519, 2229, 547, 2445, 811, 2724, 689, 13169, 5716, 982, 789, 6108, 269, 2755, 713, 949, 581, 3020, 267, 972, 616, 930, 945, 10990, 267, 6031, 602, 519, 13169, 568, 711, 513, 1106, 540, 4616, 3454, 1317, 621, 3085, 1406, 1253, 677, 7082, 7836, 269, 769, 1249, 267, 519, 13169, 23131, 616, 1031, 547, 1489, 2229, 2533, 543, 3292, 563, 4407, 1082, 2070, 13169, 7589, 607, 513, 1106, 540, 9913, 267, 1082, 849, 3494, 602, 621, 779, 513, 6456, 3454, 269, 2991, 782, 267, 621, 779, 513, 1259, 547, 2508, 2489, 1857, 2533, 267, 543, 1082, 1004, 616, 10353, 547, 13989, 269, 769, 3162, 10491, 267, 13169, 5716, 616, 1647, 27070, 267, 3810, 13473, 267, 543, 1647, 11665, 269, 17859, 540, 741, 2797, 5784, 267, 513, 1533, 779, 13169, 19614, 948, 2508, 2533, 899, 1857, 3506, 267, 1072, 1416, 267, 543, 2069, 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 ]
[ 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 1286, 3957, 681, 958, 13787, 518, 7605, 2421, 269, 7605, 2421, 6068, 547, 24680, 1472, 543, 2263, 519, 1158, 256, 1809, 7605, 2421, 4769, 1405, 2141, 917, 875, 547, 1205, 1141, 646, 4941, 547, 979, 269, 2334, 781, 950, 1010, 3659, 22526, 519, 4477, 704, 3357, 547, 948, 780, 289, 16808, 4673, 729, 513, 8797, 543, 2186, 1268, 945, 6785, 782, 827, 10092, 543, 8846, 269, 2701, 5280, 7605, 2421, 1174, 602, 952, 646, 4941, 547, 979, 1294, 1010, 2828, 538, 519, 6288, 267, 646, 2877, 547, 1246, 519, 4155, 780, 257, 3719, 1018, 781, 513, 4155, 267, 22526, 8119, 4280, 7605, 2421, 780, 21202, 4155, 568, 899, 513, 2462, 1899, 602, 6517, 666, 5397, 593, 2437, 6045, 22526, 269, 834, 2005, 2337, 721, 1205, 689, 835, 1747, 547, 1776, 3010, 21659, 2421, 2219, 713, 729, 1360, 5363, 269, 1261, 3323, 6117, 593, 519, 4155, 267, 855, 4166, 646, 4718, 824, 3515, 2469, 538, 1114, 8846, 269, 1261, 7012, 1405, 2386, 799, 835, 547, 1491, 780, 257, 17764, 1100, 10590, 524, 3072, 7605, 2421, 269, 834, 7617, 1259, 798, 594, 979, 12482, 289, 16808, 4673, 20493, 543, 11329, 547, 930, 4191, 1985, 547, 519, 9897, 269, 834, 8450, 1346, 286, 1358, 2995, 596, 1141, 1142, 4155, 5012, 269, 1411, 991, 547, 3442, 519, 835, 602, 3081, 1412, 303, 1046, 9538, 5016, 21659, 2421, 6743, 693, 519, 4191, 543, 1336, 519, 835, 602, 1767, 1412, 303, 1046, 8339, 1261, 22755, 593, 602, 4155, 543, 1354, 1279, 267, 646, 8452, 693, 519, 6288, 256, 2353, 519, 824, 6517, 941, 865, 6126, 547, 1294, 1864, 269, 1358, 5129, 1927, 543, 1185, 6266, 540, 1187, 780, 5475, 4730, 538, 519, 6288, 267, 7605, 2421, 7691, 646, 729, 3478, 17237, 269, 1261, 4280, 22526, 875, 547, 1205, 1394, 1753, 780, 257, 9617, 1413, 585, 519, 1129, 602, 3081, 1412, 12709, 3299, 25064, 10590, 561, 13774, 1117, 22526, 269, 1656, 2386, 2614, 267, 7605, 2421, 4553, 519, 1129, 543, 1500, 621, 1394, 1753, 2922, 543, 3280, 780, 5804, 1287, 593, 267, 8164, 7605, 2421, 2877, 547, 979, 12341, 267, 646, 1131, 2307, 22526, 585, 948, 269, 2060, 1200, 5583, 267, 646, 2968, 513, 1390, 9920, 543, 8268, 1082, 1007, 4025, 269, 1656, 789, 5030, 25747, 2479, 1310, 780, 763, 1439, 780, 1103, 713, 1650, 267, 649, 4121, 827, 9897, 543, 4191, 267, 799, 616, 1271, 1919, 602, 948, 721, 1847, 1472, 543, 1205, 547, 1114, 4025, 269, 1284, 849, 4121, 602, 3006, 649, 991, 547, 2307, 585, 948, 547, 1265, 938, 1259, 269, 3807, 899, 7605, 2421, 267, 649, 666, 782, 1831, 1732, 17701, 952, 649, 2628, 3007, 547, 519, 4191, 543, 3343, 948, 950, 649, 991, 621, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2690, 2271, 571, 268, 17206, 3690, 325, 619, 912, 18662, 540, 4065, 267, 8433, 540, 14288, 543, 9906, 7896, 267, 476, 9340, 654, 11232, 569, 267, 2672, 924, 476, 15996, 267, 476, 25628, 268, 4510, 274, 268, 280, 4029, 280, 267, 4757, 11333, 2593, 454, 289, 16808, 4673, 11197, 29231, 267, 5358, 18509, 13541, 267, 476, 12573, 15391, 15838, 8065, 267, 18078, 17106, 11333, 3820, 454, 5327, 11220, 585, 5204, 2350, 2224, 2160, 1053, 945, 616, 5461, 538, 2069, 11678, 855, 711, 4867, 13197, 513, 3450, 15149, 267, 29120, 5525, 538, 4065, 3091, 513, 2619, 547, 513, 20277, 779, 4110, 998, 513, 1982, 3358, 547, 513, 2875, 779, 1367, 4690, 543, 17050, 269, 901, 1982, 568, 585, 1053, 5275, 547, 1404, 513, 1909, 538, 1732, 532, 519, 1158, 563, 15675, 539, 5525, 538, 4065, 568, 585, 1053, 4058, 547, 4283, 4610, 602, 2270, 2178, 3872, 3334, 267, 1519, 3872, 2923, 267, 3486, 2069, 267, 13508, 267, 14292, 1374, 267, 6268, 267, 2362, 2069, 267, 1126, 14223, 543, 6107, 5752, 267, 2069, 543, 1920, 1876, 267, 9754, 2090, 267, 9659, 2090, 267, 9746, 5468, 267, 18883, 3292, 267, 543, 1644, 4610, 563, 15675, 539, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11846, 1299, 28046, 1315, 16359, 11846, 1315, 681, 958, 681, 5217, 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, 3848, 476, 1015, 281, 30576, 1645, 3414, 6611, 281, 10289, 1401, 26979, 1115, 543, 4173, 323, 16332, 640, 692, 5970, 596, 2479, 6743, 909, 883, 519, 3781, 6607, 543, 9289, 952, 972, 729, 1776, 1158, 856, 972, 899, 23600, 286, 2107, 5310, 1256, 930, 1106, 540, 9813, 1272, 286, 4270, 267, 3744, 723, 1044, 6998, 1346, 1482, 2055, 543, 789, 4312, 1500, 930, 6909, 8906, 256, 1358, 1336, 2963, 540, 10785, 3544, 938, 3859, 1062, 1572, 834, 1410, 26979, 1115, 2437, 28835, 6801, 2484, 3564, 938, 6129, 269, 2368, 540, 891, 10785, 1522, 1256, 1489, 1272, 256, 2913, 781, 7832, 593, 713, 17184, 3460, 1927, 547, 1174, 875, 649, 1265, 891, 11397, 10600, 543, 1946, 621, 6927, 547, 721, 1934, 593, 3047, 780, 18439, 3464, 538, 9612, 540, 1715, 2622, 338, 454, 29432, 5978, 1650, 5956, 609, 12703, 17701, 945, 946, 3532, 2645, 547, 7747, 519, 22839, 269, 2290, 971, 1907, 568, 519, 2878, 20181, 6363, 15968, 26275, 1262, 630, 26183, 293, 2752, 264, 4092, 538, 519, 13814, 269, 2060, 29486, 293, 2752, 267, 3744, 6432, 5702, 585, 26866, 619, 4947, 689, 2230, 1107, 25861, 6786, 602, 1223, 7866, 6456, 11580, 269, 21298, 267, 789, 9571, 1945, 9058, 281, 513, 3126, 540, 28377, 689, 513, 5182, 1062, 1634, 607, 570, 879, 645, 2393, 525, 267, 936, 476, 7906, 1769, 26188, 2476, 256, 1548, 2306, 713, 6602, 5963, 5863, 568, 602, 713, 1880, 1062, 14747, 513, 834, 14653, 18347, 2437, 513, 7372, 3154, 4541, 28835, 5393, 2673, 547, 922, 2385, 5182, 269, 898, 781, 899, 2348, 513, 5458, 24107, 554, 690, 3101, 782, 519, 3002, 2282, 519, 1920, 3786, 13933, 2439, 4462, 24286, 27405, 1190, 6178, 2137, 454, 28598, 1432, 4010, 1705, 3744, 5873, 286, 1452, 28377, 2099, 513, 2186, 540, 1412, 325, 5424, 2745, 10086, 13031, 3877, 827, 519, 608, 26979, 564, 781, 6419, 2361, 910, 1175, 899, 707, 9416, 21646, 948, 2697, 596, 256, 12207, 3494, 11287, 971, 22782, 666, 4001, 873, 811, 827, 1018, 6013, 9944, 606, 608, 26979, 564, 781, 2627, 543, 2436, 621, 949, 3984, 2175, 5078, 585, 1272, 269, 1809, 7227, 267, 1018, 1281, 1022, 540, 713, 723, 547, 798, 609, 1072, 543, 8516, 1394, 593, 3047, 286, 4279, 2243, 256, 2334, 6770, 721, 547, 23636, 12046, 780, 763, 5295, 540, 4173, 323, 16332, 640, 454, 10900, 13430, 13914, 540, 23636, 12046, 899, 9849, 513, 5624, 3726, 950, 3695, 14542, 5054, 282, 621, 14014, 1312, 596, 543, 1866, 1472, 596, 269, 1879, 1034, 1004, 538, 513, 2146, 1205, 18764, 1996, 3676, 899, 27330, 267, 544, 7927, 267, 610, 6299, 7578, 267, 741, 4703, 1020, 12489, 602, 4339, 1055, 1346, 8290, 269, 4634, 952, 2576, 3884, 1405, 18764, 267, 789, 4324, 689, 3025, 3116, 1373, 6870, 2094, 972, 5749, 1405, 2614, 11630, 2043, 2451, 585, 519, 2068, 547, 3262, 3362, 269, 3807, 607, 5464, 608, 26979, 8767, 6419, 4610, 3091, 10881, 827, 741, 4356, 1464, 267, 1620, 23636, 12046, 2636, 721, 547, 16102, 6000, 543, 7925, 2818, 1369, 938, 2950, 689, 5739, 10108, 780, 3528, 1565, 875, 547, 1353, 891, 12357, 5925, 22782, 689, 608, 26979, 1115, 6634, 540, 5195, 2476, 267, 3744, 2087, 741, 2702, 547, 12260, 11580, 827, 5732, 3110, 3386, 10600, 269, 6684, 267, 676, 26762, 23636, 12046, 267, 649, 1831, 1732, 9280, 547, 13104, 6000, 543, 6068, 3283, 689, 11763, 3676, 1318, 1934, 593, 3047, 269, 1924, 3314, 267, 1169, 942, 596, 4309, 513, 6669, 267, 596, 3565, 547, 2679, 513, 2178, 3196, 7615, 540, 4027, 585, 3054, 543, 1346, 1472, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 769, 606, 2169, 2400, 3406, 585, 2009, 9813, 1272, 267, 606, 3486, 2319, 540, 3744, 814, 6394, 519, 1101, 2009, 5925, 5365, 689, 606, 608, 26979, 564, 1062, 827, 476, 7906, 1769, 26188, 2476, 563, 268, 4635, 519, 8899, 6363, 15968, 26275, 630, 26183, 293, 2752, 1070, 513, 5925, 16263, 538, 519, 13814, 267, 519, 3173, 20114, 12998, 28377, 689, 519, 570, 879, 645, 2393, 525, 5182, 1606, 2448, 16475, 513, 865, 10777, 3905, 18347, 267, 513, 31529, 9649, 4541, 602, 568, 1360, 2673, 547, 922, 1378, 3141, 563, 268, 12824, 849, 4767, 824, 1761, 608, 26979, 8767, 5925, 15041, 2153, 10457, 538, 519, 26424, 9435, 543, 772, 27432, 1656, 668, 539, 2801, 1949, 563, 268, 8307, 519, 570, 879, 645, 2393, 525, 608, 26979, 564, 1062, 267, 799, 3568, 513, 9352, 5182, 1062, 543, 606, 608, 26979, 564, 267, 1410, 3031, 1243, 513, 1713, 5925, 15040, 267, 513, 2189, 1761, 6885, 593, 519, 4541, 779, 6419, 2361, 563, 268, 901, 5925, 7020, 10741, 909, 513, 1007, 6885, 593, 608, 26979, 1115, 543, 2488, 513, 3209, 1259, 547, 4983, 9813, 10600, 602, 616, 9937, 540, 1769, 26188, 2476, 563, 268, 9866, 6326, 606, 608, 26979, 564, 779, 6419, 2361, 2337, 19936, 21264, 513, 4541, 779, 9703, 543, 693, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15463, 323, 16332, 640, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 17261, 5209, 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, 7170, 281, 25529, 518, 4793, 2583, 2334, 13268, 513, 623, 4875, 281, 19889, 6363, 7037, 12130, 337, 821, 539, 548, 14958, 532, 2439, 5331, 952, 596, 1223, 1711, 707, 1378, 2706, 29654, 602, 666, 798, 811, 982, 1175, 30164, 1107, 789, 666, 849, 948, 5838, 4915, 883, 707, 2960, 286, 16319, 899, 1945, 856, 540, 513, 1414, 30235, 7260, 267, 1318, 286, 4270, 267, 621, 781, 2965, 2009, 609, 10357, 7888, 13167, 543, 909, 19464, 256, 2913, 779, 4685, 883, 519, 4241, 1158, 540, 968, 6193, 337, 821, 539, 956, 892, 910, 6263, 267, 1928, 1652, 267, 543, 13476, 7874, 3889, 2966, 547, 2087, 875, 11955, 960, 780, 1262, 1432, 616, 8020, 337, 821, 539, 956, 267, 543, 1946, 1058, 649, 1416, 827, 873, 15140, 31466, 337, 821, 539, 956, 616, 2706, 1507, 267, 4552, 11017, 6438, 20327, 602, 666, 581, 5116, 593, 6512, 1137, 610, 6529, 518, 1790, 520, 2583, 269, 1358, 949, 1413, 2241, 267, 855, 741, 1374, 2337, 873, 1093, 651, 998, 519, 1283, 4494, 540, 938, 2960, 1572, 519, 2608, 1598, 23628, 1351, 12149, 29688, 901, 568, 2731, 3730, 1317, 930, 6527, 6560, 547, 1205, 2250, 713, 11064, 543, 883, 938, 4703, 3927, 269, 1635, 2870, 891, 20538, 10092, 267, 8020, 14772, 539, 956, 2709, 513, 15931, 1259, 1472, 713, 3390, 2439, 3086, 267, 596, 1522, 4898, 267, 834, 3963, 979, 998, 782, 713, 8373, 950, 594, 666, 3274, 1491, 1250, 1199, 338, 30375, 8119, 4279, 2243, 256, 2755, 21447, 543, 861, 745, 1186, 616, 9735, 2081, 547, 15179, 1524, 26345, 10366, 1247, 3478, 1732, 267, 972, 616, 1808, 2665, 1141, 8020, 337, 821, 539, 956, 19542, 1384, 272, 269, 2878, 299, 760, 573, 10753, 951, 4995, 2368, 11955, 2648, 9761, 6878, 630, 28309, 1749, 1070, 865, 789, 3575, 1134, 609, 11041, 3079, 540, 1216, 269, 4595, 938, 2960, 3568, 6266, 540, 2067, 11041, 267, 8020, 337, 821, 539, 956, 1831, 3501, 16167, 585, 12419, 971, 16602, 5574, 563, 273, 269, 2878, 3682, 12888, 13363, 832, 4995, 15742, 4105, 5567, 267, 899, 5946, 543, 11476, 267, 2736, 1524, 3362, 538, 938, 7181, 7408, 1354, 8757, 741, 3077, 18353, 269, 4635, 8020, 337, 821, 539, 956, 5849, 891, 10347, 7135, 3251, 16856, 2394, 789, 3914, 1141, 789, 2811, 2877, 1034 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9397, 1331, 912, 268, 19940, 11665, 10610, 3213, 778, 7886, 454, 268, 15328, 6193, 18639, 454, 268, 13595, 1644, 3756, 552, 3052, 269, 10902, 14428, 19189, 20794, 14797, 563, 1805, 3530, 5721, 543, 1489, 1453, 538, 11009, 2238, 2899, 513, 1554, 269, 5753, 1451, 875, 547, 581, 9350, 543, 581, 1459, 1282, 713, 942, 269, 1284, 3494, 621, 568, 1360, 1271, 585, 1453, 547, 723, 713, 942, 1305, 11735, 1282, 519, 1153, 1554, 547, 2327, 789, 3251, 15508, 2635, 607, 1134, 607, 9308, 1134, 563, 16498, 11314, 1369, 519, 6437, 454, 5978, 3610, 616, 8149, 547, 32750, 2168, 2534, 607, 851, 540, 938, 3232, 6437, 269, 1358, 1174, 519, 1271, 2640, 602, 1818, 4245, 543, 2238, 811, 1412, 31850, 1227, 3742, 262, 666, 723, 593, 4093, 267, 1702, 12802, 543, 18399, 2157, 563, 30108, 1544, 585, 3255, 547, 581, 9308, 3742, 538, 4295, 5396, 799, 666, 4125, 2921, 1565, 3544, 543, 5009, 1483, 3734, 2833, 269, 1358, 917, 602, 1453, 798, 711, 723, 547, 581, 2893, 693, 513, 11380, 547, 1451, 543, 12366, 1047, 3255, 585, 1453, 547, 581, 856, 540, 741, 16295, 607, 1454, 607, 2009, 269, 4208, 798, 596, 723, 547, 1451, 596, 2053, 7515, 2893, 1524, 888, 5445, 616, 849, 8149, 547, 1818, 856, 5748, 6437, 607, 3742, 607, 2009, 269, 901, 2882, 2238, 971, 607, 281, 2870, 1272, 20695, 12222, 593, 519, 19209, 6989, 267, 10647, 2257, 6901, 3544, 543, 2870, 1148, 1210, 2470, 269, 0, 1607, 2337, 737, 1342, 657, 1451, 519, 4845, 1106, 10902, 266, 529, 266, 3430, 25572, 269, 634, 4647, 2882, 2238, 585, 4633, 543, 1893, 3797, 602, 616, 1759, 593, 519, 1433, 269, 4495, 513, 1126, 814, 18481, 8357, 1242, 968, 296, 1616, 1341, 10902, 2223, 1287, 513, 3099, 540, 824, 15298, 2453, 616, 3335, 5189, 630, 324, 3052, 269, 11638, 1606, 22690, 629, 545, 1913, 666, 581, 4101, 585, 1453, 609, 13994, 1637, 267, 1452, 1614, 4425, 558, 3556, 2238, 616, 2966, 585, 3742, 2370, 6267, 543, 1118, 519, 17279, 540, 4633, 4992, 1187, 256, 21277, 576, 5220, 540, 811, 982, 476, 274, 1913, 609, 693, 2547, 476, 3199, 260, 4111, 756, 14923, 267, 1210, 4824, 5220, 2497, 543, 3617, 4992, 689, 1200, 4633, 27132, 269, 589, 476, 274, 4458, 6040, 945, 666, 10146, 543, 1875, 14620, 958, 5968, 855, 666, 1406, 2161, 1082, 1913, 949, 723, 513, 4633, 8488, 269, 16440, 942, 267, 679, 324, 267, 5564, 19192, 961, 629, 545, 9293, 630, 14588, 3663, 3797, 267, 2027, 2069, 267, 26613, 267, 3092, 4700, 11334, 9796, 11334, 568, 606, 2228, 19458, 1141, 3610, 4444, 543, 6133, 3312, 3872, 2326, 269, 7442, 571, 19333, 5901, 32695, 476, 272, 729, 2813, 547, 948, 609, 2679, 19039, 1734, 630, 7876, 308, 264, 585, 2043, 609, 3284, 571, 19333, 267, 13994, 1637, 4713, 267, 543, 22192, 1893, 4713, 269, 25595, 2401, 16594, 27084, 281, 32695, 2060, 25595, 6840, 269, 5565, 268, 543, 476, 274, 4458, 29419, 3335, 723, 513, 2182, 942, 609, 741, 1007, 4633, 543, 1893, 1983, 269, 898, 1281, 711, 2154, 851, 476, 272, 610, 476, 273, 269, 25021, 1453, 689, 2582, 1913, 547, 2262, 10659, 568, 711, 1175, 513, 2339, 540, 3450, 1079, 268, 543, 1287, 1614, 30087, 19039, 1734, 269, 5890, 21505, 2262, 19039, 1734, 1299, 18040, 7790, 11334, 9796, 11334, 568, 606, 2228, 19458, 1141, 3610, 4444, 543, 6133, 3312, 3872, 2326, 269, 661, 326, 269, 968, 296, 3972, 596, 1848, 269, 17510, 547, 476, 276, 3275, 269, 6423, 811, 2093, 827, 4633, 3797, 267, 4633, 543, 1893, 267, 1893, 3797, 269, 9050, 1806, 585, 1142, 840, 6570, 6322, 693, 19310, 1746, 476, 275, 30087, 5220, 269, 901, 1305, 6227, 2185, 4374, 585, 513, 2698, 540, 5216, 4295, 6863, 1913, 6098, 538, 835, 3923, 256, 634, 1483, 3734, 6337, 616, 1390, 585, 29360, 267, 3371, 568, 519, 7317, 1433, 4528, 540, 12054, 4842, 17716, 910, 5565, 9293, 256, 1849, 13831, 5786, 568, 950, 513, 1126, 3217, 1079, 4992, 602, 616, 3812, 1927, 543, 30283, 873, 609, 1776, 3280, 269, 1280, 1383, 267, 596, 666, 960, 4481, 593, 519, 3280, 540, 1315, 337, 32551, 952, 602, 568, 519, 1152, 1858, 1141, 707, 1126, 2115, 948, 269, 5901, 519, 1271, 610, 6209, 1913, 538, 519, 4845, 543, 4734, 856, 4930, 971, 513, 513, 267, 1287, 267, 609, 267, 547, 267, 3092, 269, 2340, 504, 510, 20804, 3962, 4633, 25082, 267, 2422, 713, 11684, 1907, 538, 7658, 1492, 2805, 610, 3068, 547, 3068, 7886, 547, 5496, 267, 2708, 267, 6895, 3356, 267, 610, 946, 1282, 6304, 540, 1453, 609, 3284, 571, 19333, 540, 4633, 610, 1453, 2324, 593, 519, 27612, 5546, 22008, 20302, 267, 966, 290, 267, 22008, 267, 543, 22008, 290, 269, 1635, 2085, 476, 275, 267, 707, 1126, 781, 4555, 1058, 1376, 547, 2095, 538, 2347, 5220, 609, 2560, 8437, 1934, 547, 1294, 782, 540, 519, 22054, 21476, 5036, 11482, 8504, 585, 12971, 11553, 19860, 270, 19445, 585, 6552, 1565, 286, 901, 17142, 568, 267, 16594, 10657, 3203, 545, 1637, 6657, 13268, 585, 7442, 571, 19333, 2882, 476, 274, 269, 3213, 657, 269, 3657, 596, 3478, 519, 1863, 2200, 267, 10311, 267, 543, 2027, 3091, 649, 6494, 856, 1169, 3018, 538, 938, 4116, 20394, 286, 20308, 2200, 547, 948, 1169, 2385, 609, 4633, 3797, 2238, 269, 4495, 1053, 723, 1185, 519, 4316, 547, 1451, 519, 3292, 1913, 3267, 2824, 513, 3077, 2262, 610, 1913, 585, 513, 3797, 270, 14048, 8400, 269, 1261, 568, 1818, 1360, 3500, 3356, 538, 4633, 267, 543, 568, 2348, 1390, 7411, 26762, 543, 11264, 1101, 3446, 960, 269, 513, 264, 634, 2937, 2798, 547, 1142, 3182, 584, 267, 901, 568, 851, 476, 274, 540, 1250, 834, 306, 27542, 21476, 257, 24502, 269, 634, 4633, 3797, 2262, 8638, 616, 3501, 585, 4896, 945, 2115, 2259, 609, 4633, 543, 1893, 2035, 269, 2690, 1022, 1826, 540, 2259, 32465, 9767, 991, 1913, 547, 1205, 3323, 907, 3767, 594, 1810, 1405, 917, 827, 596, 267, 855, 950, 594, 991, 547, 1589, 540, 6098, 1913, 547, 946, 32465, 296, 7985, 689, 21245, 3965, 2530, 267, 610, 590, 7876, 907, 594, 11130, 538, 1268, 543, 1287, 3842, 4757, 585, 811, 4633, 942, 538, 519, 4928, 547, 960, 593, 519, 5578, 269, 5899, 13377, 949, 711, 581, 2111, 547, 1174, 1454, 540, 1018, 568, 1767, 269, 901, 1305, 6227, 2185, 4374, 585, 513, 2698, 540, 5216, 4295, 6863, 1913, 6098, 538, 835, 3923, 256, 901, 1587, 3568, 519, 1482, 1913, 607, 12054, 4842, 17716, 910, 5565, 9293, 269, 1452, 3211, 2285, 2789, 23927, 547, 1312, 512, 1512, 476, 272, 543, 512, 1512, 476, 273, 6863, 1913, 1862, 3501, 585, 3246, 1463, 6863, 6044, 1282, 4633, 543, 1893, 3797, 256, 8946, 12767, 6730, 674, 21788, 654, 16704, 11682, 305, 3008, 2464, 2961, 8175, 1912, 29320, 1107, 4322, 616, 2453, 602, 616, 1419, 968, 327, 10541, 909, 892, 609, 513, 2603, 540, 1114, 3688, 543, 2285, 873, 3152, 3099, 538, 11589, 741, 6499, 543, 2115, 269, 15026, 1305, 540, 476, 1911, 22008, 290, 2259, 6486, 267, 2422, 713, 11684, 1907, 538, 7658, 1492, 2805, 610, 3068, 547, 3068, 7886, 547, 5496, 267, 2708, 267, 6895, 3356, 267, 610, 946, 1282, 6304, 540, 13093, 1670, 1184, 269, 3973, 594, 1572, 513, 5870, 543, 1031, 1346, 476, 274, 9059, 1913, 267, 2059, 609, 9306, 1382, 547, 1118, 1250, 2013, 585, 811, 942, 269, 1635, 2085, 476, 274, 267, 741, 6863, 4679, 547, 827, 476, 272, 267, 1822, 1913, 267, 543, 789, 5889, 516, 6340, 538, 1614, 268, 543, 2185, 30087, 5220, 269, 901, 666, 948, 7218, 547, 4483, 741, 1983, 689, 519, 16758, 883, 519, 1483, 1158, 269, 4455, 476, 2641, 267, 476, 1001, 277, 910, 901, 10189, 6663, 547, 4001, 1453, 875, 547, 4020, 2241, 1614, 30087, 5220, 269, 2659, 1126, 568, 1454, 811, 2693, 547, 3801, 513, 476, 273, 610, 476, 274, 2262, 8360, 789, 5873, 596, 2161, 982, 513, 476, 275, 610, 476, 276, 2262, 4845, 269, 1403, 707, 22525, 18387, 5889, 339, 1558, 1346, 19325, 267, 789, 949, 723, 513, 4633, 8488, 269, 589, 4845, 971, 607, 513, 15298, 5123, 538, 4633, 3797, 666, 581, 1031, 547, 7914, 11034, 513, 4845, 609, 930, 5583, 610, 20872, 547, 1205, 519, 1126, 3323, 543, 2337, 4228, 519, 3259, 540, 606, 19039, 766, 269, 1358, 849, 3006, 723, 8373, 609, 2243, 5250, 269, 21111, 786, 2697, 519, 19016, 1227, 2953, 2262, 267, 2016, 513, 3903, 540, 3681, 267, 609, 476, 3199, 260, 6111, 269, 5890, 21505, 7780, 614, 1734, 268, 623, 12127, 268, 3143, 7179, 268, 16594, 10657, 268, 20028, 4804, 267, 22054, 22367, 1186, 585, 476, 274, 30087, 13668, 543, 8292, 267, 476, 273, 268, 275, 20219, 17247, 21764, 29031, 9898, 3198, 290, 2464, 281, 23166, 24639, 13697, 21197, 2464, 267, 19766, 5495, 21254, 20796, 9169, 267, 6730, 29375, 302, 654, 16704, 11682, 305, 3008, 2464, 269, 3203, 545, 1637, 4713, 269, 8281, 938, 3391, 547, 21389, 1251, 532, 693, 6206, 6478, 20946, 1934, 281, 6206, 2262, 6176, 15005, 1496, 23486, 316, 476, 5379, 280, 30641, 269, 968, 7883, 585, 621, 1848, 269, 634, 1739, 25258, 1131, 581, 1390, 585, 3845, 1565, 547, 2901, 14202, 547, 707, 24440, 4928, 610, 607, 938, 8664, 568, 3257, 547, 1820, 543, 6494, 1753, 21168, 998, 519, 2475, 13875, 1062, 269, 4279, 3308, 585, 9750, 19039, 1734, 547, 7662, 543, 6085, 269, 594, 1419, 2671, 519, 1482, 2994, 936, 543, 936, 269, 1703, 616, 1896, 4633, 543, 1893, 4713, 602, 666, 581, 5701, 609, 4633, 3797, 269, 901, 4845, 786, 8850, 1404, 16965, 630, 5408, 3381, 12744, 14386, 256, 901, 2534, 568, 2966, 547, 948, 707, 1053, 609, 3284, 571, 19333, 610, 824, 4633, 3280, 4713, 3132, 19039, 1734, 602, 616, 476, 274, 268, 277, 1913, 538, 3259, 269, 2608, 19447, 6865, 21998, 585, 1650, 1427, 749, 270, 716, 532, 856, 519, 1650, 12303, 616, 1631, 3769, 267, 1932, 256, 1403, 3096, 513, 2582, 2262, 899, 713, 827, 3368, 540, 519, 942, 855, 12662, 1079, 1913, 1927, 519, 824, 3368, 540, 519, 942, 630, 3697, 12882, 3240, 3440, 5889, 1070, 1287, 649, 1131, 2161, 519, 16066, 308, 568, 476, 272, 269, 276, 269, 21111, 786, 2697, 519, 19016, 1227, 2953, 2262, 267, 2016, 513, 3903, 540, 3681, 267, 609, 476, 3199, 260, 6111, 269, 15026, 1305, 540, 476, 1839, 22008, 2259, 6486, 609, 12383, 267, 1913, 267, 2453, 267, 543, 5220, 901, 568, 3501, 585, 2324, 609, 2043, 609, 3284, 571, 19333, 267, 13994, 1637, 4713, 267, 610, 22192, 1893, 4713, 269, 1627, 281, 594, 993, 2324, 609, 513, 476, 278, 4458, 6040, 538, 1101, 3446, 269, 630, 328, 4318, 1421, 8380, 3165, 538, 513, 3165, 11312, 331, 267, 1818, 7484, 8619, 267, 901, 17391, 3965, 4199, 2488, 590, 10861, 338, 609, 3102, 3308, 4845, 17446, 585, 519, 1739, 17391, 4393, 1983, 281, 11291, 532, 5220, 267, 11291, 532, 1644, 543, 20775, 1913, 543, 11291, 532, 1297, 9696, 602, 616, 1377, 539, 585, 513, 2875, 781, 1808, 2115, 269, 21964, 476, 273, 30087, 2453, 269, 476, 272, 269, 901, 2985, 814, 1082, 1390, 2093, 543, 3756, 547, 948, 476, 274, 4458, 29419, 1020, 741, 4633, 543, 1893, 1983, 269, 1230, 13935, 3308, 5220, 585, 834, 296, 1616, 6449, 2580, 834, 594, 1500, 31233, 2580, 834, 296, 1294, 13090, 2580, 834, 594, 991, 948, 1701, 1677, 946, 3617, 1875, 31646, 1893, 267, 971, 607, 9694, 1116, 4191, 267, 15738, 267, 5961, 267, 543, 11132, 7215, 267, 547, 5968, 6499, 543, 2115, 563, 293, 539, 7702, 12305, 30325, 9008, 5113, 267, 4643, 1676, 2561, 15692, 267, 32588, 700, 335, 3887, 1015, 23996, 267, 6520, 27202, 22458, 7822, 15873, 267, 19663, 16422, 558, 850, 769, 623, 1824, 267, 26658, 23721, 15339, 20504, 766, 15580, 267, 2696, 325, 9445, 23392, 9628, 267, 0, 268, 1548, 3123, 513, 1507, 18053, 593, 519, 2634, 888, 268, 2052, 596, 723, 513, 2634, 18053, 543, 711, 917, 621, 888, 268, 1548, 568, 519, 2126, 585, 513, 1507, 2634, 18053, 888, 268, 1215, 798, 596, 3247, 513, 2634, 18053, 888, 268, 1772, 513, 1507, 18053, 593, 519, 2634, 3978, 888, 268, 1215, 1279, 1281, 621, 1491, 547, 9156, 689, 513, 1507, 2634, 18053, 888, 268, 1548, 616, 519, 2589, 540, 513, 3500, 2634, 18053, 888, 268, 1548, 568, 519, 3017, 1063, 513, 2634, 18053, 543, 513, 8482, 888, 268, 1215, 798, 596, 4368, 513, 2634, 18053, 888, 268, 2052, 2566, 2014, 513, 18053, 593, 519, 2634, 888, 268, 2052, 596, 1745, 513, 2634, 18053, 888 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9741, 15207, 729, 4730, 3544, 593, 513, 13566, 1554, 267, 20857, 538, 519, 5070, 7901, 950, 646, 8068, 1945, 9490, 269, 1261, 1185, 2947, 2370, 16853, 602, 646, 1336, 1247, 3695, 267, 543, 646, 4941, 547, 917, 811, 827, 873, 269, 1924, 267, 646, 10443, 3330, 547, 1265, 1010, 4587, 11078, 267, 21667, 780, 257, 299, 1075, 344, 256, 21667, 10590, 22551, 539, 15207, 267, 530, 3058, 519, 16853, 538, 519, 2011, 269, 834, 1432, 616, 891, 12482, 299, 1075, 344, 6743, 909, 689, 1200, 1433, 543, 20493, 269, 834, 17829, 616, 7633, 267, 15207, 2437, 1352, 6045, 269, 834, 5445, 2811, 1572, 1558, 659, 17369, 1023, 269, 1358, 1921, 707, 11263, 547, 707, 21015, 3010, 20755, 3240, 781, 4064, 11097, 2989, 269, 834, 289, 2158, 26834, 2334, 1797, 594, 6415, 851, 8773, 15323, 299, 1075, 344, 561, 13774, 1117, 269, 834, 5591, 267, 25064, 269, 15526, 814, 7633, 538, 741, 1560, 269, 1358, 948, 721, 1847, 1472, 543, 798, 782, 12204, 540, 1919, 3010, 29310, 267, 789, 4682, 1394, 3544, 543, 12630, 519, 1558, 659, 17369, 1023, 538, 519, 5070, 7901, 267, 5910, 2056, 789, 941, 2679, 513, 8773, 1688, 269, 1306, 789, 5129, 267, 789, 14437, 827, 875, 5863, 519, 1480, 1560, 568, 543, 875, 1142, 851, 1568, 1927, 547, 1118, 621, 1599, 5265, 780, 30952, 602, 3018, 267, 789, 4862, 827, 519, 5993, 8654, 540, 519, 18842, 651, 325, 11839, 4741, 8285, 10326, 538, 1715, 3840, 4975, 269, 1358, 4956, 547, 1491, 513, 7552, 883, 519, 2749, 547, 1294, 621, 269, 1879, 789, 8452, 267, 789, 4718, 5215, 540, 8279, 1000, 1074, 1782, 593, 519, 9649, 3529, 269, 1809, 1287, 267, 10393, 267, 519, 8279, 4682, 856, 256, 1703, 729, 3154, 335, 689, 519, 15624, 780, 288, 812, 3357, 5196, 519, 3942, 543, 9307, 602, 519, 3529, 1185, 11124, 513, 1379, 10006, 543, 2877, 513, 1007, 1305, 540, 12904, 269, 15207, 543, 21667, 22121, 1350, 1734, 269, 654, 2231, 286, 6145, 519, 13285, 538, 938, 4703, 602, 6494, 6835, 547, 938, 2634, 2496, 9617, 1287, 267, 15207, 1185, 606, 2856, 269, 1261, 15422, 2542, 827, 875, 4496, 29377, 5201, 269, 9320, 789, 1223, 946, 519, 1558, 659, 17369, 1023, 607, 2306, 31183, 12904, 256, 2060, 519, 948, 540, 930, 8030, 267, 789, 4174, 5529, 519, 7475, 540, 519, 7633, 543, 4448, 873, 547, 519, 3529, 781, 5122, 1062, 269, 1656, 2386, 2614, 267, 519, 8279, 5828, 1394, 593, 2439, 25444, 1750, 1229, 543, 804, 11474, 267, 24330, 676, 519, 2656, 3206, 540, 519, 1079, 3214, 269, 1809, 15207, 543, 21667, 6785, 602, 621, 7012, 1405, 1175, 9939, 1107, 621, 729, 2257, 256, 4634, 1498, 519, 3781, 4769, 1405, 979, 4010, 607, 9709, 267, 789, 4121, 602, 3006, 6397, 2042, 666, 1291, 547, 1256, 3152, 8906, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 258, 32530, 3582, 454, 3519, 3667, 281, 634, 1480, 1688, 7363, 814, 2947, 9704, 281, 2185, 11263, 7132, 835, 14853, 269, 769, 930, 4654, 267, 519, 1480, 1688, 568, 1767, 547, 723, 2947, 11263, 267, 1519, 519, 14853, 607, 835, 540, 519, 11263, 269, 898, 814, 476, 2767, 7633, 267, 711, 1519, 519, 28140, 600, 1355, 5642, 267, 519, 1297, 540, 799, 9775, 1063, 1004, 267, 476, 1691, 540, 799, 616, 519, 943, 531, 5190, 630, 2889, 343, 2711, 267, 13591, 543, 30218, 264, 540, 519, 11263, 543, 14853, 269, 634, 1558, 659, 17369, 531, 7633, 1921, 519, 11263, 543, 519, 15790, 531, 7633, 540, 519, 21015, 269, 3962, 1480, 1688, 814, 2947, 1558, 659, 17369, 1023, 543, 5216, 15790, 531, 7633, 780, 9223, 281, 519, 2947, 1279, 6094, 7633, 602, 1106, 519, 13869, 540, 519, 1688, 616, 519, 888, 258, 4888, 14684, 2207, 454, 763, 4143, 4845, 538, 519, 8574, 568, 281, 634, 1558, 659, 17369, 531, 7633, 1921, 519, 11263, 543, 519, 15790, 531, 7633, 540, 519, 21015, 563, 293, 2562, 3201, 4888, 14684, 2207, 281, 634, 1558, 659, 17369, 531, 7633, 7531, 258, 32530, 3582, 454, 763, 18842, 651, 325, 11839, 4741, 8285, 10326, 568, 513, 1804, 8285, 3529, 5116, 12422, 538, 18842, 651, 325, 11839, 4741, 267, 538, 11068, 26165, 24607, 269, 634, 3529, 568, 25517, 538, 4571, 5437, 543, 1396, 538, 513, 1857, 16008, 538, 3735, 5437, 610, 2038, 5412, 269, 4595, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 272, 281, 634, 2353, 675, 540, 11554, 543, 654, 663, 1359, 538, 3567, 781, 20727, 4382, 32595, 692, 296, 269, 4985, 692, 5331, 713, 281, 596, 2811, 7555, 29691, 513, 7823, 8445, 538, 519, 2295, 540, 3567, 781, 8832, 32595, 267, 575, 5074, 2390, 27789, 31858, 25271, 5784, 540, 18932, 3039, 23898, 267, 12627, 2312, 8933, 267, 543, 26009, 6777, 2275, 11474, 19589, 15198, 2484, 883, 519, 16880, 269, 1306, 596, 13236, 538, 519, 26546, 620, 18090, 2011, 267, 596, 8275, 602, 2324, 543, 2713, 9624, 971, 18198, 5898, 568, 1100, 3476, 1175, 513, 11397, 5326, 269, 769, 1249, 267, 9118, 2043, 689, 1472, 519, 8608, 1305, 13743, 585, 891, 22539, 3338, 1169, 1032, 267, 23362, 8508, 2899, 2987, 8584, 2000, 604, 8135, 2833, 1247, 9284, 532, 2933, 538, 3638, 2686, 5389, 910, 782, 519, 1247, 15980, 513, 11931, 4747, 269, 1924, 875, 1281, 835, 7832, 593, 971, 513, 7415, 3460, 286, 2913, 721, 5490, 883, 519, 9159, 7706, 540, 19482, 543, 9205, 9035, 1369, 519, 5545, 32595, 543, 2263, 1585, 4876, 10092, 602, 786, 5512, 596, 547, 2490, 713, 26871, 773, 883, 4641, 780, 2862, 269, 4197, 519, 5545, 32595, 692, 6524, 11362, 2212, 14140, 883, 1761, 7694, 3681, 267, 621, 568, 1898, 1101, 547, 9787, 519, 10923, 11768, 543, 3140, 4644, 540, 519, 3148, 3294, 269, 853, 4958, 4221, 2066, 3844, 670, 976, 16852, 6816, 267, 3567, 781, 1292, 6532, 267, 519, 5545, 32595, 17663, 1614, 3119, 9832, 281, 519, 3345, 267, 6239, 267, 543, 3162, 32595, 269, 11814, 1947, 1634, 607, 519, 670, 5866, 15142, 630, 421, 352, 505, 421, 357, 357, 31271, 365, 420, 482, 486, 1070, 589, 6390, 31381, 15142, 630, 420, 369, 353, 419, 509, 367, 31271, 365, 420, 482, 486, 1070, 543, 918, 529, 334, 15142, 630, 10951, 357, 418, 505, 377, 31271, 365, 420, 482, 486, 264, 6606, 267, 789, 1106, 513, 5318, 1163, 534, 572, 540, 27726, 14099, 6353, 676, 14869, 19527, 267, 7522, 31393, 267, 543, 3138, 11998, 14805, 1080, 8757, 15627, 23630, 476, 4968, 271, 7397, 269, 1452, 15999, 10239, 723, 1279, 1044, 26060, 2959, 540, 6667, 585, 5159, 267, 15023, 267, 543, 5640, 7567, 2094, 942, 1799, 655, 3645, 282, 741, 26672, 528, 31960, 7184, 1369, 519, 7104, 9637, 540, 1312, 5065, 11317, 543, 4914, 8436, 7567, 780, 7656, 269, 19396, 11202, 1811, 31327, 547, 519, 5545, 32595, 692, 3086, 602, 649, 4865, 513, 25229, 21747, 8223, 540, 938, 10278, 1577, 721, 4983, 1896, 14323, 18817, 998, 799, 835, 1522, 5150, 2744, 995, 7694, 1369, 713, 28677, 5251, 269, 1284, 4927, 1445, 5097, 593, 1079, 3982, 11507, 281, 31392, 606, 5604, 4483, 3842, 707, 4540, 16108, 543, 5275, 3450, 7158, 10704, 1472, 519, 2296, 1893, 780, 288, 269, 623, 2720, 5224, 606, 8433, 18734, 692, 1103, 2221, 781, 10562, 2518, 4346, 267, 1082, 3906, 2226, 9682, 4238, 16559, 5001, 269, 9701, 707, 1699, 1747, 540, 7694, 30107, 8371, 31314, 1851, 519, 2357, 323, 656, 9087, 1054, 1571, 540, 519, 5545, 32595, 267, 13197, 513, 14694, 1847, 949, 6961, 513, 15164, 4781, 269, 1677, 3035, 1967, 1524, 713, 2619, 267, 2015, 7598, 519, 1739, 2994, 1384, 272, 269, 3194, 281, 25800, 3054, 14916, 609, 707, 3919, 781, 3486, 4527, 269, 10576, 6753, 13883, 2282, 6305, 19482, 18162, 610, 20744, 759, 2176, 910, 2127, 2693, 547, 533, 1664, 707, 1719, 269, 20331, 609, 713, 1344, 267, 1935, 4143, 3375, 24237, 1369, 707, 6109, 543, 2769, 707, 7287, 547, 3565, 24015, 547, 741, 3646, 13383, 780, 273, 269, 32730, 281, 1280, 613, 4296, 609, 9164, 6728, 539, 693, 5551, 18353, 269, 1635, 14237, 3347, 609, 1883, 10986, 267, 596, 2333, 15287, 543, 3986, 707, 8458, 540, 1373, 5697, 585, 882, 6327, 950, 7477, 17473, 8451, 780, 274, 269, 11154, 1464, 281, 23227, 622, 8112, 7282, 1909, 10467, 269, 1401, 3031, 1746, 18515, 547, 8263, 3309, 9021, 10240, 9094, 707, 2013, 585, 7156, 1282, 519, 5542, 1184, 269, 5047, 267, 18071, 13916, 10597, 2949, 2344, 1464, 7488, 540, 4087, 780, 289, 269, 12056, 538, 2296, 5678, 19019, 692, 5194, 9621, 8905, 4724, 16734, 707, 9909, 540, 23493, 1369, 519, 5545, 32595, 3322, 3854, 1944, 593, 24567, 3747, 585, 11727, 2296, 7855, 269, 2060, 2810, 8561, 5116, 593, 2518, 2792, 267, 15334, 538, 519, 2296, 1893, 3788, 14063, 585, 7264, 540, 3567, 530, 5109, 547, 14526, 3927, 1369, 519, 2413, 9036, 269, 9182, 267, 3875, 5238, 6131, 547, 28798, 10409, 1983, 3343, 18164, 16929, 5827, 540, 13057, 6267, 2059, 741, 4081, 15322, 269, 1677, 11694, 707, 16548, 540, 17516, 971, 513, 2990, 267, 7703, 538, 2247, 519, 7766, 10372, 1384, 272, 269, 28946, 1113, 338, 281, 21733, 790, 22317, 24501, 1140, 20535, 547, 707, 6791, 538, 6044, 16097, 269, 6201, 1331, 570, 9128, 299, 630, 22826, 2296, 607, 513, 14579, 5678, 1070, 570, 2464, 5357, 630, 22826, 2296, 547, 4325, 5474, 540, 4033, 19932, 1070, 610, 595, 5085, 14011, 630, 290, 1068, 881, 622, 538, 2296, 5678, 9752, 547, 20661, 1040, 25334, 31757, 6101, 2866, 28382, 596, 609, 1270, 15363, 24099, 2645, 2556, 585, 1967, 538, 519, 4928, 4259, 780, 273, 269, 15232, 281, 2549, 817, 4052, 1995, 998, 22631, 4721, 610, 15321, 7341, 13389, 1875, 28921, 10529, 269, 6270, 18129, 1683, 3407, 4030, 883, 2500, 3992, 4058, 267, 4879, 2553, 267, 543, 4928, 2359, 2853, 269, 3958, 267, 789, 2709, 15889, 2963, 540, 7029, 547, 519, 4739, 267, 7551, 23243, 23078, 642, 3539, 585, 3908, 23761, 780, 274, 269, 8836, 11576, 6638, 281, 3763, 8650, 4656, 3823, 13857, 3604, 1063, 8109, 543, 5375, 4529, 269, 16871, 3209, 9821, 11942, 29037, 609, 1053, 543, 16881, 811, 6209, 1565, 2833, 269, 5015, 267, 11744, 2463, 585, 2199, 5389, 4679, 2308, 1464, 267, 607, 3506, 8362, 3343, 10457, 945, 18220, 8537, 8456, 14436, 540, 18371, 5054, 780, 4353, 269, 23889, 10426, 687, 281, 670, 10884, 1299, 30482, 24601, 692, 4263, 2063, 267, 2348, 6707, 4044, 730, 2901, 540, 891, 3318, 9055, 267, 596, 1631, 1796, 26405, 547, 19467, 4938, 566, 609, 1285, 6327, 269, 1215, 10502, 1522, 835, 9585, 713, 9028, 286, 6333, 3695, 16351, 15731, 610, 2146, 2516, 21751, 538, 7823, 324, 1359, 32751, 687, 610, 2470, 15211, 269, 3414, 3742, 7589, 538, 6896, 2238, 267, 596, 3715, 4296, 609, 899, 16490, 12439, 4687, 2147, 4690, 269, 3683, 942, 267, 891, 7554, 1419, 11457, 883, 11972, 17052, 267, 6679, 9885, 547, 26080, 1569, 6382, 796, 520, 1555, 762, 1510, 1202, 3187, 1702, 780, 12234, 267, 8495, 29426, 26136, 5356, 11461, 19150, 2429, 519, 5545, 32595, 269, 30855, 3964, 5578, 5036, 7258, 9241, 9715, 1893, 5759, 267, 596, 1831, 19918, 17479, 547, 1291, 30295, 23695, 4481, 547, 2296, 18702, 7817, 25279, 269, 3502, 1152, 798, 971, 16904, 5352, 8907, 12535, 4830, 540, 2757, 7694, 12417, 267, 855, 789, 849, 11863, 8465, 20319, 20009, 547, 13326, 2123, 18697, 7258, 3318, 13800, 780, 309, 269, 10390, 692, 21615, 1046, 532, 2390, 606, 7045, 17364, 17407, 3340, 22111, 7041, 267, 32344, 8990, 267, 543, 26772, 8207, 269, 1717, 267, 11439, 609, 16177, 543, 5483, 5583, 267, 13321, 17050, 883, 4890, 640, 3587, 28222, 811, 24276, 269, 1635, 5402, 10442, 17053, 4876, 24551, 13988, 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 ]
[ 5073, 825, 29060, 14067, 641, 815, 834, 4840, 825, 29060, 5091, 626, 815, 10581, 3488, 8882, 17210, 825, 952, 2520, 582, 698, 568, 711, 7183, 912, 1038, 1948, 6744, 547, 1294, 952, 519, 5569, 6609, 540, 519, 8378, 13292, 4376, 538, 938, 1592, 540, 16973, 563, 1038, 585, 26372, 538, 5468, 12991, 292, 26996, 289, 3036, 9816, 7495, 306, 912, 2018, 952, 26372, 31573, 3890, 538, 4087, 31573, 10031, 3546, 1858, 815, 26372, 692, 1038, 1948, 6733, 547, 1294, 952, 519, 17609, 568, 538, 1022, 540, 519, 8378, 10833, 649, 3989, 563, 1038, 952, 7003, 263, 19327, 264, 2652, 476, 271, 912, 2018, 585, 26372, 267, 4216, 318, 1723, 3581, 538, 5468, 11065, 302, 311, 2464, 29096, 10031, 3546, 952, 538, 318, 7901, 263, 613, 582, 698, 267, 4216, 318, 1723, 3581, 2187, 7386, 1858, 815, 26372, 692, 1038, 1948, 4855, 519, 14191, 18302, 10473, 563, 1038, 585, 6728, 267, 1071, 3581, 538, 5468, 11053, 305, 23177, 3951, 318, 4306, 25972, 29096, 10031, 2018, 1253, 815, 4717, 5091, 2700, 263, 1723, 3581, 314, 271, 3910, 1071, 3581, 314, 272, 3910, 2520, 582, 698, 314, 271, 3910, 2520, 582, 698, 314, 272, 7481, 2018, 952, 1253, 2999, 18302, 5091, 626, 912, 3546, 18302, 14067, 641, 815, 6728, 454, 3546, 18302, 5091, 626, 815, 1253, 692, 1038, 1948, 4855, 519, 14191, 29060, 3247, 563, 1038, 585, 3247, 267, 1071, 3581, 538, 5468, 2529, 295, 7473, 307, 4041, 318, 4306, 302, 4916, 29096, 10031, 2018, 1253, 815, 4717, 5091, 2700, 263, 1723, 3581, 314, 271, 3910, 1071, 3581, 314, 272, 3910, 2520, 582, 698, 314, 271, 3910, 2520, 582, 698, 314, 272, 7481, 2018, 952, 1253, 2999, 29060, 5091, 626, 912, 3546, 29060, 14067, 641, 815, 3247, 454, 3546, 29060, 5091, 626, 815, 1253, 692, 825, 2132, 13634, 1038, 834, 19327, 9899, 1858, 2676, 1038, 834, 10520, 527, 14067, 641, 9899, 18302, 14067, 641, 2676, 1038, 834, 10520, 527, 5091, 626, 9899, 18302, 5091, 626, 2676, 1038, 834, 3333, 583, 1479, 14067, 641, 9899, 29060, 14067, 641, 2676, 1038, 834, 3333, 583, 1479, 5091, 626, 9899, 29060, 5091, 626, 2676, 825, 7684, 454, 0, 258, 9463, 491, 12571, 495, 27447, 24731, 12255, 14756, 482, 454, 320, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 271, 6540, 2745, 5416, 11468, 18737, 272, 7481, 0, 258, 1721, 13644, 511, 9463, 354, 18809, 7511, 12828, 21506, 1721, 562, 538, 2039, 263, 273, 267, 1015, 8029, 825, 585, 1535, 538, 2039, 263, 273, 19885, 8029, 1038, 952, 562, 4939, 343, 2652, 476, 271, 6769, 2018, 1820, 3799, 10086, 419, 511, 487, 30678, 3299, 343, 2073, 257, 265, 257, 2073, 333, 2260, 343, 264, 1948, 2260, 18021, 498, 13644, 354, 15159, 30522, 353, 9463, 371, 8147, 23523, 501, 28996, 7511, 14756, 497, 31563, 15159, 842, 8147, 270, 23523, 501, 28996, 7511, 14756, 497, 31563, 15159, 15615, 1477, 2018, 2736, 1477, 825, 3116, 281, 567, 1948, 21928, 1721, 7511, 13644, 511, 9463, 354, 18809, 8147, 18713, 510, 20992, 25520, 1721, 20069, 25203, 372, 12571, 490, 419, 376, 358, 13213, 505, 1477, 1363, 1820, 3799, 10086, 15159, 27381, 510, 12255, 262, 10142, 2745, 3488, 25275, 13117, 8782, 3418, 258, 11666, 826, 16533, 365, 14748, 10429, 370, 10524, 500, 13644, 511, 420, 357, 478, 26266, 362, 21251, 14035, 504, 29072, 8147, 25263, 504, 14756, 356, 14756, 511, 19867, 356, 27310, 23523, 359, 27064, 363, 18809, 7511, 31284, 22047, 1477, 1721, 1003, 538, 2039, 263, 273, 267, 1015, 8029, 825, 952, 1003, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 1820, 2891, 16838, 1297, 257, 2073, 1003, 3418, 1038, 3136, 1477, 825, 1820, 2891, 15893, 257, 2073, 1003, 264, 0, 258, 7090, 28982, 1158, 476, 476, 21588, 361, 22047, 7090, 420, 482, 504, 10951, 361, 1477, 258, 7090, 18809, 7511, 21550, 485, 13644, 484, 31033, 8147, 30244, 11590, 505, 21550, 485, 13644, 484, 31033, 21251, 420, 25693, 30853, 20992, 10429, 367, 421, 498, 362, 21211, 1477, 258, 9131, 16178, 3299, 1412, 14085, 3299, 1412, 12148, 3299, 1412, 663, 3299, 1412, 553, 3299, 1412, 16386, 3299, 1412, 19874, 3299, 1412, 5035, 3299, 1412, 11666, 826, 3299, 1412, 3698, 3299, 1412, 23437, 3299, 1412, 19197, 3299, 1412, 12828, 3299, 1412, 21955, 3299, 1412, 325, 3373, 3299, 1412, 1721, 3299, 1412, 5228, 3299, 1412, 29514, 3299, 1412, 604, 3299, 1412, 5814, 3299, 1412, 514, 3299, 1412, 529, 3299, 1412, 14433, 3299, 1412, 12061, 29985, 3299, 1412, 2254, 3299, 1412, 528, 3299, 1412, 10139, 3299, 1412, 571, 1047, 3299, 1412, 8873, 3299, 1412, 339, 787, 3299, 1412, 6112, 3299, 1412, 5976, 3299, 1412, 344, 1752, 11172, 1477, 5814, 20438, 1477, 4486, 5320, 21993, 342, 4289, 5897, 18257, 1477, 14035, 504, 27310, 21796, 357, 19404, 488, 272, 1477, 18257, 5897, 18851, 1477, 14035, 504, 27310, 21796, 357, 19404, 488, 273, 1477, 18851, 5897, 258, 7090, 18809, 7511, 21796, 357, 19404, 488, 15159, 23284, 22047, 22287, 499, 11590, 499, 9463, 371, 23521, 354, 21550, 485, 13644, 484, 7511, 1477, 2745, 2891, 15916, 2622, 257, 5148, 5897, 258, 7090, 19404, 490, 30837, 351, 418, 366, 350, 20069, 27962, 418, 489, 361, 9463, 371, 567, 476, 22047, 28786, 419, 510, 479, 417, 507, 501, 18809, 417, 379, 483, 421, 350, 375, 32517, 507, 418, 490, 479, 25203, 372, 12571, 490, 7511, 419, 376, 358, 13213, 505, 476, 476, 12571, 355, 10254, 503, 418, 488, 354, 421, 498, 503, 12486, 12486, 12486, 1477, 604, 630, 274, 285, 276, 8029, 825, 1820, 2891, 12148, 14744, 12828, 6769, 825, 1820, 2891, 32401, 8442, 567, 1948, 9463, 359, 20069, 30244, 13601, 9463, 354, 13644, 507, 7511, 28793, 22390, 503, 421, 504, 493, 28032, 379, 20693, 510, 419, 358, 374, 21550, 376, 5897, 825, 1820, 2891, 553, 323, 8442, 1948, 21928, 30244, 9463, 354, 13644, 507, 31176, 491, 30837, 351, 20693, 510, 22047, 419, 358, 374, 21550, 376, 16533, 365, 25263, 504, 418, 488, 354, 421, 498, 503, 1477, 825, 1948, 9463, 359, 28884, 15159, 10524, 492, 30244, 19404, 490, 19764, 478, 417, 356, 489, 419, 376, 500, 20001, 495, 13644, 511, 9463, 354, 476, 13127, 364, 365, 10429, 357, 421, 481, 357, 28997, 501, 21928, 12828, 7511, 28786, 419, 510, 479, 417, 507, 501, 18809, 1477, 2745, 2891, 15916, 11088, 257, 5148, 567, 1948, 25520, 31968, 30837, 351, 7511, 419, 376, 358, 13213, 505, 21251, 13601, 21550, 371, 17276, 487, 478, 23284, 30244, 9463, 354, 13644, 507, 21251, 21928, 12828, 7511, 28786, 419, 510, 479, 417, 507, 501, 18809, 5897, 258, 14035, 504, 27310, 13644, 511, 9463, 354, 567, 13127, 506, 357, 418, 366, 350, 20069, 418, 489, 361, 9463, 371, 7511, 13644, 511, 9463, 354, 18809, 8147, 421, 505, 357, 31563, 13213, 485, 421, 499, 379, 23746, 23284, 12916, 379, 17958, 1422, 476, 17276, 507, 354, 26166, 31176, 366, 13644, 511, 9463, 354, 476, 13127, 506, 357, 15079, 32582, 20465, 476, 18809, 7511, 13644, 511, 9463, 354, 21251, 421, 506, 478, 28884, 20693, 510, 13161, 506, 23521, 510, 24653, 0, 258, 32352, 28098, 420, 365, 350, 1477, 5035, 3733, 12218, 6769, 825, 15981, 32352, 419, 353, 374, 28032, 489, 18257, 1477, 825, 1775, 815, 476, 11277, 27174, 1477, 825, 1219, 535, 4311, 8029, 1038, 2132, 1412, 31435, 1158, 262, 5897, 258, 31968, 30837, 351, 32352, 18809, 7511, 1775, 13127, 23687, 13127, 485, 30936, 325, 476, 476, 23284, 9463, 488, 24757, 418, 350, 352, 21796, 357, 19404, 488, 421, 25693, 15159, 30244, 14748, 32352, 7511, 31271, 508, 26233, 356, 1477, 258, 20881, 504, 13213, 485, 1073, 329, 20508, 17276, 507, 354, 420, 492, 371, 9463, 500, 5897, 2745, 263, 7069, 12218, 269, 328, 3418, 2745, 263, 7069, 12218, 8807, 3418, 2745, 263, 7069, 12218, 14857, 25269, 1029, 10142, 258, 18263, 509, 23746, 23284, 14756, 503, 31271, 508, 26233, 356, 420, 369, 489, 29219, 1477, 7069, 12218, 269, 328, 284, 9340, 272, 1477, 2745, 263, 7069, 12218, 269, 328, 3418, 5897, 258, 32352, 7511, 14395, 508, 28032, 489, 25060, 500, 476, 476, 12916, 379, 17958, 16583, 30936, 31033, 9463, 371, 476, 476, 18263, 509, 16533, 365, 15159, 417, 481, 493, 16583, 30936, 421, 480, 352, 21550, 371, 420, 364, 481, 17958, 32352, 476, 13127, 484, 491, 420, 369, 489, 29219, 14756, 503, 22047, 9463, 502, 19404, 493, 16533, 365, 27310, 29072, 1477, 343, 815, 3733, 12218, 14052, 2745, 3287, 269, 328, 3418, 258, 7090, 18809, 7511, 32352, 18263, 509, 20069, 32352, 25263, 376, 22909, 482, 20881, 510, 16583, 30936, 7511, 421, 481, 357, 26166, 8147, 16533, 365, 15159, 1029, 8181, 9191, 3418, 5897, 5035, 13216, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 9418, 4820, 267, 19960, 4820, 8029, 1038, 1582, 25331, 815, 1483, 4820, 1477, 1038, 1582, 269, 328, 815, 4337, 4820, 1477, 258, 10254, 505, 417, 375, 374, 32352, 7511, 14395, 508, 28032, 489, 476, 13127, 485, 30936, 18809, 417, 28187, 31563, 9463, 486, 1029, 8181, 1029, 16583, 30936, 8147, 421, 480, 352, 18263, 486, 10524, 500, 16533, 484, 25263, 504, 417, 495, 501, 19867, 356, 27310, 8147, 23746, 23284, 23284, 27747, 355, 20069, 9463, 480, 12255, 1477, 343, 815, 13216, 263, 274, 269, 271, 16427, 275, 269, 276, 10142, 2745, 3287, 25331, 3418, 2745, 3287, 269, 328, 3418, 0, 258, 21211, 10429, 372, 1477, 258, 10254, 505, 417, 375, 374, 22047, 21211, 10429, 372, 1477, 5035, 10831, 815, 2715, 257, 313, 29697, 9899, 272, 2437, 304, 1014, 9899, 273, 2437, 26422, 9899, 274, 2437, 2993, 9899, 275, 348, 1477, 2745, 263, 5035, 10831, 3418, 2745, 2891, 25275, 13117, 14744, 258, 12571, 495, 21211, 10429, 372, 18809, 418, 371, 375, 20693, 510, 30317, 27381, 510, 1477, 5035, 10831, 14277, 313, 17924, 19312, 815, 476, 276, 1477, 2745, 263, 5035, 10831, 3418, 2745, 2891, 25275, 13117, 257, 10142, 258, 420, 492, 371, 9463, 500, 418, 490, 485, 27936, 27381, 351, 19764, 499, 7511, 29219, 1477, 2745, 263, 5035, 10831, 14277, 2993, 19312, 3418, 2745, 2891, 25275, 13117, 257, 10142, 258, 10254, 510, 30522, 353, 10429, 370, 18809, 418, 509, 494, 22047, 29219, 1477, 23437, 1362, 10831, 14277, 26422, 19312, 5897, 2745, 263, 5035, 10831, 10142, 258, 420, 492, 371, 9463, 500, 10429, 357, 421, 481, 357, 10429, 367, 421, 498, 362, 21211, 476, 13213, 498, 18713, 508, 22047, 28578, 23989, 1477, 2745, 17338, 263, 5035, 10831, 269, 12399, 3890, 17903, 258, 420, 492, 371, 9463, 500, 10429, 357, 421, 481, 357, 10429, 367, 421, 498, 362, 21211, 23946, 370, 26406, 496, 31365, 1477, 2745, 4433, 9285, 17338, 263, 5035, 10831, 4297, 3418, 2745, 2891, 25275, 13117, 257, 10142, 258, 9463, 355, 13601, 26175, 491, 10254, 505, 417, 375, 374, 21211, 10429, 372, 7511, 25913, 19764, 493, 1477, 2745, 5560, 1112, 8443, 3488, 5503, 3299, 272, 1070, 3488, 5503, 273, 3299, 273, 1070, 2891, 5503, 274, 2580, 274, 264, 8079, 3418, 0, 258, 12571, 495, 22047, 26266, 366, 14756, 493, 26406, 496, 417, 354, 377, 31365, 7511, 12255, 14756, 482, 19404, 490, 418, 371, 375, 20693, 510, 22047, 12255, 8147, 23946, 370, 4970, 498, 418, 490, 487, 419, 483, 356, 18263, 489, 31176, 491, 7511, 25335, 482, 10254, 503, 21928, 27882, 353, 26406, 496, 31365, 692, 320, 815, 1496, 1015, 267, 2641, 267, 3374, 267, 5325, 267, 6812, 267, 7597, 6540, 258, 320, 6910, 263, 277, 2020, 258, 320, 31699, 10797, 343, 815, 703, 9272, 2891, 10938, 513, 1297, 29389, 4917, 1721, 1775, 538, 513, 912, 825, 952, 9217, 283, 343, 2187, 1038, 513, 27044, 5416, 28827, 9217, 1070, 343, 2020, 2745, 5416, 994, 0, 258, 25263, 502, 25060, 500, 28793, 25426, 368, 27447, 24731, 1477, 5814, 942, 5897, 258, 1598, 1111, 830, 15159, 21550, 373, 29004, 362, 14756, 503, 27936, 7511, 8971, 23521, 354, 27447, 24731, 28793, 25426, 368, 14654, 921, 27818, 30317, 419, 354, 500, 24724, 8147, 8873, 1826, 5569, 1477, 258, 260, 312, 268, 260, 332, 268, 260, 323, 318, 260, 295, 268, 260, 300, 268, 260, 306, 15159, 28793, 25426, 368, 21550, 376, 19764, 493, 1477, 258, 312, 23989, 419, 353, 374, 23946, 368, 567, 544, 28786, 23989, 10951, 486, 10524, 377, 476, 631, 28786, 23989, 26166, 421, 496, 509, 546, 28786, 23989, 14035, 358, 1477, 258, 295, 28786, 23989, 16533, 493, 28793, 476, 554, 28786, 23989, 10951, 486, 10524, 377, 420, 489, 365, 24757, 419, 376, 358, 19540, 503, 476, 590, 15159, 26175, 496, 1477, 2745, 263, 5503, 269, 1598, 1111, 830, 3488, 260, 312, 268, 260, 332, 268, 260, 323, 318, 260, 295, 268, 260, 300, 268, 260, 306, 262, 2073, 942, 7456, 665, 5306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4250, 540, 20655, 610, 7130, 269, 1879, 789, 6368, 9784, 741, 13344, 267, 1018, 9465, 1590, 789, 7753, 547, 1265, 10343, 543, 16882, 888, 265, 3763, 513, 4729, 10704, 1472, 519, 17403, 543, 3765, 1952, 10187, 566, 540, 10723, 2686, 3615, 28093, 4240, 609, 5289, 1648, 269, 1215, 1522, 519, 16502, 4433, 264, 6330, 2152, 540, 1964, 3191, 267, 7067, 267, 543, 5126, 2496, 3528, 2502, 609, 891, 2055, 543, 13167, 707, 1378, 3312, 960, 540, 5708, 267, 596, 786, 15052, 707, 1620, 540, 519, 17381, 543, 4763, 540, 25812, 6441, 520, 3626, 2833, 543, 3565, 547, 519, 5571, 6643, 4478, 6041, 267, 3961, 267, 543, 8116, 1369, 23019, 5708, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10387, 3240, 13815, 20421, 19784, 543, 21722, 25812, 6441, 520, 2088, 3377, 19671, 19129, 807, 2836, 1457, 11252, 6238, 1200, 1007, 17728, 609, 513, 10565, 6429, 1765, 615, 476, 1001, 278, 5967, 609, 513, 27173, 918, 12999, 918, 17427, 6205, 945, 1572, 1200, 519, 715, 30087, 543, 968, 320, 544, 784, 7758, 892, 543, 12219, 547, 968, 14315, 1200, 856, 892, 540, 1010, 3959, 538, 513, 4158, 267, 6552, 1858, 540, 3345, 10491, 563, 15987, 1352, 7283, 21286, 569, 588, 18757, 607, 519, 3043, 25160, 659, 626, 1305, 513, 3444, 593, 3595, 538, 4395, 540, 1200, 8254, 12284, 267, 2836, 1457, 11252, 3081, 729, 5176, 16397, 676, 26164, 971, 606, 4082, 540, 23998, 563, 9773, 1457, 11252, 779, 9241, 5950, 1433, 267, 968, 7069, 5384, 547, 28423, 281, 1234, 8010, 532, 1323, 6827, 787, 543, 4762, 1258, 1154, 17813, 2223, 8214, 956, 10168, 543, 2152, 540, 2681, 2212, 593, 607, 1352, 6596, 569, 12909, 827, 875, 621, 779, 8032, 1200, 1272, 563, 14881, 4956, 547, 3717, 1631, 1317, 594, 1745, 6899, 267, 594, 723, 1100, 12194, 2223, 1767, 2836, 1457, 11252, 267, 476, 4366, 267, 513, 5432, 3068, 547, 1082, 607, 519, 3018, 1485, 10543, 3377, 19671, 585, 519, 5053, 25082, 3060, 1133, 643, 1707, 269, 968, 296, 723, 513, 5639, 267, 513, 2230, 267, 513, 3760, 547, 3717, 21514, 1457, 543, 1118, 8885, 4862, 267, 23248, 865, 1866, 666, 4324, 689, 1250, 588, 528, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 17104, 1299, 21337, 1315, 26135, 1315, 25812, 6441, 520, 3626, 14810, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 22960, 14118, 523, 6203, 910, 634, 1715, 13910, 594, 4621, 692, 5970, 596, 2479, 9289, 1141, 1004, 1205, 741, 6752, 6667, 689, 286, 2755, 930, 1413, 547, 17476, 543, 9413, 267, 1082, 1866, 1265, 741, 2511, 1660, 525, 593, 1514, 2923, 5867, 899, 17749, 256, 4653, 267, 649, 786, 2263, 519, 4241, 1158, 540, 6752, 4623, 6203, 267, 4481, 2519, 593, 1346, 1818, 6329, 538, 3127, 269, 1452, 2043, 723, 1831, 519, 1007, 2511, 24069, 267, 11121, 9118, 11655, 609, 741, 2189, 856, 22327, 543, 3860, 6752, 12823, 269, 2913, 781, 4685, 883, 713, 1187, 543, 7524, 1158, 1927, 2439, 1262, 1432, 568, 513, 22960, 14118, 27247, 15140, 288, 6752, 4623, 1356, 568, 2576, 945, 8843, 741, 2123, 2511, 998, 6337, 267, 7044, 267, 543, 9708, 593, 1514, 2923, 5867, 269, 1358, 8300, 1866, 676, 4259, 3466, 267, 3843, 12050, 1007, 5654, 267, 543, 11544, 1114, 6163, 269, 4256, 13794, 1419, 23507, 873, 585, 741, 5876, 543, 6015, 267, 799, 7512, 11655, 547, 4603, 609, 741, 20758, 13681, 525, 1932, 2439, 1262, 3963, 3657, 22960, 14118, 523, 6203, 12830, 15140, 293, 5831, 4623, 6203, 1404, 513, 1713, 1909, 538, 5935, 875, 1004, 13498, 6752, 269, 1635, 4687, 741, 3232, 856, 22327, 543, 3246, 18908, 1782, 4388, 267, 789, 948, 741, 5304, 1745, 811, 4448, 547, 519, 5767, 3466, 269, 5047, 267, 789, 2736, 1524, 7496, 1063, 1164, 6752, 543, 4948, 5957, 267, 3850, 3025, 547, 2769, 2933, 998, 7802, 780, 265, 7078, 17041, 5994, 9849, 513, 4190, 521, 732, 324, 24224, 609, 8141, 569, 3524, 1231, 267, 19610, 609, 10477, 14229, 5474, 3079, 540, 2757, 31623, 269, 901, 4999, 6770, 1927, 1312, 6803, 543, 4207, 2609, 267, 4611, 538, 513, 4195, 267, 5499, 28459, 3501, 585, 1585, 14026, 269, 589, 6752, 4623, 1356, 1522, 13686, 971, 606, 26254, 267, 8716, 741, 13794, 547, 9784, 741, 23141, 1247, 9363, 909, 3562, 15082, 609, 1699, 21274, 780, 1262, 12749, 22960, 14118, 523, 6203, 538, 3127, 4373, 19328, 814, 1100, 17732, 540, 16805, 6752, 4623, 6203, 945, 4274, 569, 19467, 2245, 543, 5647, 269, 2368, 2442, 3283, 1331, 1384, 272, 269, 2878, 306, 4689, 11986, 19300, 599, 5093, 19612, 585, 1200, 2648, 540, 6505, 4778, 543, 6946, 3270, 267, 590, 4689, 11986, 4749, 2934, 10875, 682, 26907, 553, 267, 737, 4669, 553, 267, 543, 5857, 31730, 593, 1200, 3049, 269, 2701, 849, 21593, 6220, 5375, 4773, 899, 3954, 574, 13544, 1115, 543, 25192, 883, 1200, 5654, 267, 4946, 513, 3579, 6335, 547, 5929, 4095, 30933, 563, 273, 269, 2878, 298, 761, 11986, 10609, 584, 3570, 5093, 2060, 936, 835, 2929, 13794, 267, 918, 761, 11986, 6212, 593, 16471, 8265, 18875, 543, 21475, 2914, 3480, 6163, 269, 4173, 1196, 4445, 2943, 17715, 12716, 22587, 547, 7820, 5481, 5275, 11541, 6752, 6667, 269, 3245, 7693, 25568, 547, 5493, 9579, 334, 27890, 267, 1352, 9727, 602, 1373, 31042, 3085, 1405, 2141, 1611, 1739, 1169, 2582, 7678, 563, 274, 269, 2878, 291, 2354, 327, 1731, 3873, 645, 1002, 339, 778, 776, 5984, 5093, 667, 2354, 327, 1731, 3873, 5088, 806, 8766, 1143, 543, 16134, 538, 1200, 6752, 5079, 269, 10705, 1810, 940, 1395, 29614, 1738, 856, 22327, 543, 2973, 3515, 267, 1352, 2982, 721, 602, 1447, 666, 8197, 581, 811, 950, 621, 2501, 547, 3168, 32263, 269, 3958, 267, 1352, 6901, 609, 4264, 6752, 2853, 267, 5009, 10357, 7888, 7802, 3681, 543, 3450, 1200, 13794, 827, 3743, 4616, 6208, 780, 3528, 11287, 891, 9735, 6752, 4623, 6203, 267, 596, 666, 1451, 3407, 4245, 827, 1582, 22325, 267, 5876, 267, 543, 4466, 3666, 1063, 15851, 27825, 543, 4207, 3466, 269, 1924, 979, 6619, 1107, 1491, 4220, 267, 2119, 1007, 1919, 267, 543, 1577, 707, 6418, 6752, 16695, 19542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19185, 585, 1283, 6752, 4623, 6203, 538, 3127, 888, 5649, 344, 547, 3605, 519, 10700, 2511, 24069, 945, 616, 2921, 519, 4095, 6752, 6429, 676, 7088, 888, 2252, 596, 4941, 547, 581, 24672, 669, 545, 267, 1118, 9843, 2490, 267, 543, 4734, 606, 30170, 1665, 609, 707, 6752, 5079, 267, 1287, 25231, 3054, 585, 519, 1592, 540, 519, 1034, 9159, 4095, 6752, 4623, 6203, 593, 17749, 563, 4322, 3466, 564, 1562, 723, 27058, 519, 1148, 540, 6752, 593, 17749, 267, 9159, 9458, 609, 741, 30664, 764, 762, 2631, 540, 2511, 543, 741, 2702, 547, 1225, 622, 679, 5145, 956, 602, 608, 8775, 1350, 600, 712, 543, 3443, 5995, 563, 1103, 519, 7706, 540, 519, 1655, 6752, 4623, 6203, 593, 17749, 267, 621, 779, 7543, 547, 26777, 519, 1283, 6752, 4623, 6203, 538, 3127, 945, 9846, 1305, 519, 3046, 2362, 609, 741, 25713, 15564, 25378, 6752, 6898, 563, 5804, 546, 9579, 1782, 14704, 524, 719, 675, 547, 1630, 1335, 1014, 669, 545, 267, 789, 16900, 11100, 2757, 4095, 15312, 609, 2413, 3466, 267, 2870, 513, 2189, 6752, 12760, 602, 568, 3274, 30811, 563, 3383, 945, 616, 891, 6752, 544, 822, 839, 888, 5445, 616, 519, 13423, 727, 540, 25894, 267, 2498, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 20299, 4618, 32013, 4860, 565, 1206, 1107, 589, 26647, 24327, 585, 15213, 543, 667, 793, 640, 692, 7072, 1384, 763, 12144, 3148, 814, 1044, 6825, 676, 19525, 267, 8474, 267, 543, 4187, 2094, 922, 6602, 676, 18332, 19090, 538, 476, 14983, 273, 269, 634, 6532, 4182, 540, 25706, 267, 13883, 538, 519, 2295, 540, 519, 12144, 7256, 267, 2968, 513, 13398, 585, 3864, 7060, 5275, 5763, 998, 4006, 14713, 543, 4123, 269, 3416, 331, 8491, 20338, 941, 4547, 547, 713, 6532, 27032, 1996, 741, 786, 267, 11972, 5667, 701, 752, 762, 23434, 543, 632, 16058, 1436, 269, 1717, 267, 5103, 519, 22266, 2175, 267, 20665, 1004, 2760, 4503, 8289, 540, 741, 5191, 543, 15683, 269, 3414, 1896, 6411, 540, 18326, 543, 27693, 267, 789, 13934, 519, 9872, 540, 8474, 267, 14053, 5126, 543, 7862, 269, 901, 1576, 1770, 12538, 883, 519, 1686, 540, 1614, 2101, 10553, 15148, 1206, 602, 695, 809, 25706, 779, 5748, 543, 11014, 4957, 922, 1514, 5251, 269, 1284, 786, 4983, 519, 2188, 3056, 909, 547, 891, 2621, 267, 2263, 3119, 2959, 10503, 519, 9620, 5185, 676, 1346, 3238, 267, 543, 2015, 875, 891, 8090, 3514, 1369, 3677, 3140, 6386, 827, 4187, 543, 19802, 780, 4089, 594, 281, 8466, 11137, 540, 26913, 538, 25706, 692, 288, 269, 27336, 2526, 540, 17417, 630, 1428, 628, 2540, 994, 289, 269, 17491, 14713, 543, 7269, 540, 24914, 630, 1704, 628, 2540, 994, 290, 269, 3690, 520, 23007, 32013, 11780, 543, 2208, 540, 3979, 2551, 630, 1626, 628, 268, 1240, 628, 5553, 994, 291, 269, 17148, 896, 669, 3430, 601, 8474, 543, 4187, 3646, 692, 4089, 4083, 281, 570, 871, 344, 779, 31052, 542, 630, 12293, 271, 2020, 288, 269, 17461, 281, 19663, 13253, 1851, 20665, 2950, 454, 289, 269, 15486, 281, 670, 6702, 2126, 267, 3668, 540, 13190, 267, 543, 2686, 13218, 547, 4000, 454, 290, 269, 15557, 281, 10020, 540, 2757, 10764, 543, 5289, 3401, 899, 744, 2041, 1695, 5443, 454, 291, 269, 15638, 281, 6206, 12959, 543, 4093, 454, 292, 269, 8177, 281, 7831, 532, 4539, 593, 20299, 4618, 2486, 543, 3703, 11440, 4507, 454, 293, 269, 17583, 547, 4207, 5717, 4478, 1065, 25730, 543, 18189, 1436, 692, 4089, 8633, 281, 23837, 2782, 630, 8146, 272, 268, 8146, 273, 2020, 288, 269, 17461, 281, 16241, 25954, 5322, 543, 7924, 11044, 1851, 10437, 454, 289, 269, 15486, 281, 16842, 4656, 540, 20552, 626, 27742, 538, 6628, 543, 7287, 585, 1582, 24148, 454, 290, 269, 15557, 281, 4077, 29487, 840, 18291, 899, 15656, 26588, 701, 543, 3909, 3906, 454, 291, 269, 15638, 281, 9257, 267, 3262, 267, 543, 21109, 540, 18326, 454, 292, 269, 8177, 281, 24665, 730, 10605, 540, 661, 2006, 322, 11692, 2920, 6388, 2429, 3703, 10125, 454, 293, 269, 7073, 10083, 281, 10313, 11143, 547, 824, 4550, 12258, 11102, 543, 3540, 2924, 5322, 5001, 692, 4089, 10001, 281, 5651, 656, 7345, 31052, 542, 630, 5908, 276, 2020, 288, 269, 17461, 281, 5403, 15041, 4545, 11692, 2591, 543, 771, 20880, 1851, 5449, 10437, 454, 289, 269, 15486, 281, 9483, 30886, 267, 2797, 17181, 267, 543, 7292, 7130, 454, 290, 269, 15557, 281, 6754, 645, 4355, 543, 1010, 13794, 14957, 585, 2244, 23799, 9084, 543, 2797, 6041, 454, 291, 269, 15638, 281, 4934, 19874, 540, 5208, 267, 4693, 267, 543, 11056, 540, 1883, 5515, 454, 292, 269, 8177, 281, 19372, 618, 540, 13862, 12733, 2229, 1062, 538, 25706, 282, 1279, 3856, 6286, 585, 5198, 1894, 543, 3084, 3961, 454, 293, 269, 7351, 9840, 281, 2155, 13579, 894, 2853, 267, 1857, 3965, 267, 543, 5571, 23543, 540, 15746, 692, 6962, 1384, 8139, 519, 1686, 540, 20299, 4618, 10553, 15148, 1206, 2636, 721, 547, 5660, 519, 6043, 543, 8990, 540, 2043, 945, 10692, 585, 741, 2596, 1480, 2924, 269, 1452, 2984, 7618, 721, 602, 1256, 1282, 5712, 540, 3665, 8635, 543, 7092, 267, 4126, 3788, 9800, 269, 1635, 6313, 891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15486, 2986, 7261, 10973, 3600, 928, 543, 1215, 1772, 898, 7066, 730, 888, 276, 3687, 3367, 454, 24426, 10973, 18383, 568, 513, 4101, 2960, 2783, 602, 4422, 3564, 519, 6093, 533, 574, 1255, 610, 6926, 332, 8460, 269, 901, 4049, 1106, 540, 18383, 568, 6353, 676, 519, 1646, 540, 2620, 267, 11213, 30219, 9944, 519, 2960, 779, 2627, 269, 1452, 30219, 666, 581, 3677, 543, 811, 28332, 982, 2834, 18383, 15087, 267, 4929, 1713, 9636, 543, 1419, 6028, 3297, 9434, 26711, 563, 1103, 713, 2796, 267, 3695, 519, 2589, 540, 2166, 10973, 18383, 267, 922, 1761, 12153, 267, 543, 519, 2139, 2126, 3681, 676, 513, 17172, 6048, 3587, 14063, 269, 1635, 18167, 883, 519, 3877, 540, 713, 2960, 2783, 267, 2043, 666, 1732, 6330, 519, 3460, 4724, 20501, 267, 8902, 2960, 543, 2232, 519, 2189, 2591, 602, 2166, 10973, 18383, 6799, 563, 1432, 1772, 7261, 10973, 3600, 928, 888, 24426, 10973, 18383, 568, 513, 4049, 1106, 540, 18383, 602, 4386, 950, 22405, 538, 519, 2960, 1831, 17808, 543, 7783, 267, 3056, 547, 519, 5250, 540, 1804, 267, 11213, 267, 543, 2620, 5498, 730, 30219, 610, 12162, 2737, 269, 1452, 30219, 616, 4904, 609, 10669, 543, 666, 2014, 1713, 6553, 543, 3441, 547, 519, 2960, 5160, 563, 19284, 7646, 518, 3029, 540, 18383, 267, 971, 607, 3043, 21650, 610, 3109, 21650, 267, 2166, 10973, 18383, 11579, 6233, 2620, 883, 519, 2960, 267, 1419, 6028, 3297, 26711, 269, 898, 568, 3335, 811, 11259, 547, 936, 7308, 23716, 5574, 543, 949, 2154, 2564, 6304, 269, 32536, 5505, 1419, 21559, 5711, 6527, 267, 971, 607, 11216, 610, 13666, 4958, 3626, 514, 267, 547, 948, 4383, 543, 1852, 2166, 10973, 18383, 563, 1432, 3657, 634, 15486, 2986, 7261, 10973, 3600, 928, 888, 272, 264, 744, 1176, 2960, 454, 2750, 947, 3282, 543, 4666, 2960, 2281, 666, 24571, 22405, 538, 519, 2960, 267, 4611, 538, 533, 574, 1255, 269, 13966, 609, 3282, 543, 2960, 2281, 267, 4551, 949, 4283, 2960, 22405, 543, 1205, 16290, 269, 12213, 538, 519, 2960, 779, 1647, 4494, 267, 519, 546, 1069, 529, 267, 519, 2960, 5114, 2164, 538, 30046, 269, 1323, 18383, 28144, 568, 513, 29424, 602, 568, 2699, 267, 11376, 730, 267, 543, 11763, 563, 24426, 10973, 18383, 568, 811, 1455, 538, 14038, 269, 24635, 6162, 1419, 1995, 18383, 1282, 23648, 267, 543, 2021, 949, 5469, 27506, 13522, 1472, 28689, 610, 17441, 2242, 563, 2467, 568, 2963, 602, 11976, 1404, 513, 1909, 538, 8159, 513, 1268, 779, 18687, 547, 18383, 269, 1403, 707, 3237, 610, 2673, 14077, 723, 513, 1686, 540, 4049, 18383, 267, 596, 949, 581, 811, 12155, 547, 3384, 2166, 10973, 18383, 563, 275, 264, 26268, 4689, 12071, 9822, 725, 454, 1432, 6496, 7261, 10973, 3600, 928, 6733, 6145, 888, 24426, 10973, 18383, 711, 1152, 814, 519, 5207, 10335, 855, 849, 519, 4102, 2450, 269, 3958, 267, 621, 779, 4514, 896, 519, 2960, 269, 4425, 2812, 593, 519, 2960, 616, 513, 1455, 5920, 540, 2166, 10973, 18383, 269, 4033, 23243, 2934, 1331, 912, 268, 1804, 10669, 23752, 28144, 454, 268, 2462, 3043, 533, 574, 921, 602, 568, 2699, 543, 6213, 610, 9292, 1206, 547, 519, 5905, 454, 268, 3600, 928, 30219, 616, 811, 2693, 2938, 593, 519, 3068, 269, 1717, 267, 789, 616, 849, 1455, 593, 519, 7916, 267, 1394, 267, 8405, 267, 543, 9221, 269, 4634, 519, 17525, 543, 519, 1858, 3297, 519, 10772, 949, 1205, 2166, 10973, 18383, 563, 2791, 666, 2697, 2166, 10973, 18383, 676, 3168, 693, 519, 1739, 2166, 10973, 18383, 5961, 563, 8489, 1684, 3600, 928, 7261, 7370, 3763, 888, 288, 5458, 3148, 540, 2960, 666, 581, 4299, 676, 513, 2736, 719, 540, 2166, 10973, 18383, 269, 634, 3068, 267, 799, 814, 1082, 3282, 15374, 267, 568, 1141, 2166, 10973, 18383, 2356, 5526, 269, 1717, 267, 18383, 30219, 666, 849, 1020, 593, 707, 912, 268, 16592, 7916, 563, 11795, 2397, 9737, 3600, 928, 7261, 560, 543, 3600, 928, 715, 617, 2544, 454, 2467, 616, 1082, 10486, 1063, 2166, 10973, 543, 12162, 983, 18383, 269, 7201, 519, 2960, 267, 1312, 3132, 1804, 267, 11213, 561, 7927, 269, 4746, 267, 1312, 949, 4734, 26711, 269, 1717, 267, 972, 616, 930, 3604, 1063, 2166, 10973, 543, 12162, 983, 18383, 269, 1358, 616, 912, 268, 589, 5714, 267, 623, 639, 568, 1336, 3330, 18383, 30219, 563, 268, 9603, 547, 741, 3668, 540, 5714, 267, 18383, 12162, 2737, 616, 535, 597, 1067, 982, 18383, 30219, 563, 5649, 811, 827, 12162, 983, 18383, 563, 1692, 1772, 7261, 10973, 3600, 928, 13958, 2216, 543, 7066, 730, 888, 272, 264, 7261, 10973, 3600, 928, 9615, 454, 7021, 7308, 23716, 630, 5588, 290, 264, 5574, 616, 13385, 1813, 547, 519, 10335, 540, 2166, 10973, 18383, 269, 901, 10522, 602, 952, 596, 991, 13310, 5061, 267, 596, 1058, 3643, 513, 17172, 6048, 269, 1411, 1522, 711, 5469, 2347, 2640, 585, 909, 547, 5216, 4374, 267, 4470, 593, 519, 1826, 540, 2126, 5340, 563, 8256, 738, 707, 10629, 827, 891, 2166, 10973, 18383, 2126, 3681, 269, 15742, 6381, 1289, 585, 513, 4999, 540, 5574, 563, 763, 1034, 2500, 2126, 585, 2166, 10973, 18383, 568, 13666, 4958, 3626, 514, 267, 3006, 1634, 607, 6452, 583, 2033, 267, 606, 2500, 13310, 3075, 269, 898, 2501, 689, 606, 3742, 1826, 540, 6171, 589, 602, 568, 3144, 3232, 607, 513, 10788, 563, 20751, 2185, 547, 3670, 3275, 267, 1472, 476, 5952, 260, 540, 1346, 945, 1491, 621, 1867, 9283, 269, 1772, 582, 4958, 3626, 514, 11438, 930, 1360, 1713, 10898, 538, 1840, 547, 922, 7145, 563, 2252, 1022, 540, 519, 1739, 4019, 547, 596, 267, 5077, 707, 17172, 6048, 912, 268, 8650, 610, 32117, 2790, 1072, 2152, 454, 268, 12982, 15108, 2152, 454, 268, 9224, 1076, 2644, 610, 5312, 14331, 454, 268, 11702, 538, 707, 10729, 267, 543, 20015, 2478, 267, 2960, 16698, 267, 543, 4745, 543, 16757, 1928, 454, 274, 264, 17327, 11216, 454, 2252, 707, 2166, 10973, 18383, 4625, 6227, 707, 2960, 267, 596, 949, 581, 2111, 547, 1521, 621, 609, 5711, 11216, 269, 1452, 11216, 2569, 6553, 543, 17900, 602, 949, 581, 4929, 2166, 10973, 18383, 269, 16458, 2960, 2281, 543, 4430, 3282, 267, 2705, 267, 616, 711, 5701, 676, 11216, 563, 10303, 9190, 4187, 12651, 2042, 267, 11216, 1058, 1152, 581, 3144, 17303, 269, 2659, 10629, 786, 4440, 18973, 596, 547, 2253, 2921, 13666, 4958, 3626, 514, 952, 11216, 616, 23696, 563, 4415, 5711, 11216, 267, 519, 1739, 2427, 2360, 616, 2009, 912, 268, 9636, 538, 519, 17737, 454, 268, 7210, 4743, 454, 268, 3141, 8417, 454, 275, 264, 5440, 673, 1427, 27546, 454, 24791, 589, 568, 519, 2707, 540, 22521, 1427, 27546, 269, 1452, 267, 2705, 267, 616, 711, 607, 2500, 607, 13666, 4958, 3626, 514, 269, 1452, 1599, 547, 9004, 543, 2061, 4049, 18383, 676, 796, 680, 19982, 4552, 32235, 563, 12749, 673, 11216, 666, 3006, 581, 1031, 811, 3927, 676, 9256, 873, 609, 30636, 1355, 3797, 269, 5440, 673, 1427, 27546, 616, 2139, 538, 2603, 687, 267, 575, 1564, 267, 543, 1212, 4461, 602, 666, 581, 4294, 5781, 563, 28274, 22521, 1427, 27546, 666, 1291, 547, 2960, 890, 9934, 543, 25017, 269, 15380, 267, 891, 8801, 6547, 1016, 2515, 607, 707, 2960, 4188, 338, 547, 519, 4915, 269, 3958, 267, 30636, 1355, 4598, 666, 2333, 707, 1981, 540, 3141, 14315, 267, 865, 946, 24429, 8164, 2009, 563, 2690, 2166, 10973, 18383, 267, 838, 1241, 565, 716, 821, 630, 288, 671, 716, 821, 264, 568, 606, 3606, 11311, 3797, 4781, 269, 901, 3075, 949, 948, 609, 18383, 676, 9013, 1164, 19697, 2157, 602, 949, 581, 4929, 12982, 18383, 269, 15394, 267, 621, 1568, 1655, 585, 21031, 609, 18383, 593, 741, 2539, 3068, 610, 10265, 1467, 563, 2252, 596, 20053, 547, 1831, 9176, 267, 596, 1058, 2057, 1210, 838, 1241, 565, 716, 821, 607, 621, 949, 1267, 538, 4332, 17244, 269, 5047, 267, 713, 6646, 1058, 711, 581, 1031, 676, 1346, 945, 723, 8459, 2152, 563, 277, 264, 17327, 2552, 571, 1061, 1161, 454, 2690, 1978, 2021, 267, 5711, 15333, 1061, 1161, 616, 513, 1434, 4781, 950, 8156, 2166, 10973, 18383, 269, 1403, 596, 4749, 1205, 18383, 30219, 1282, 9449, 23638, 2404, 609, 707, 18492, 4783, 267, 713, 1935, 1568, 3226, 1134, 585, 596, 563, 15307, 4088, 568, 513, 5057, 540, 4332, 1852, 21447, 267, 799, 949, 948, 2539, 18383, 543, 3666, 9449, 2157, 538, 2489, 269, 1717, 267, 711, 3025, 1058, 946, 5711, 15333, 1061, 1161, 269, 1403, 596, 8673, 267, 723, 1973, 28163, 267, 610, 616, 12394, 547, 32230, 267, 891, 6527, 1522, 711, 581, 5078, 585, 596, 563, 1692, 2052, 7261, 10973, 3600, 928, 2142, 16473, 539, 888, 763, 1739, 3527, 666, 2569, 707, 4960, 540, 3384, 2166, 10973, 18383, 912, 268, 1879, 11067, 707, 3068, 538, 519, 6640, 267, 1318, 1354, 5127, 267, 1310, 2324, 856, 267, 610, 1310, 24852, 267, 946, 513, 9543, 17371, 344, 18274, 518, 267, 561, 8123, 342, 1301, 1216, 267, 543, 707, 11263, 1765, 2254, 513, 11547, 743, 1054, 610, 26703, 563, 268, 1403, 621, 4667, 3819, 593, 596, 267, 946, 606, 3282, 6954, 5848, 584, 6500, 563, 268, 15233, 3068, 543, 23815, 2472, 602, 616, 1875, 20411, 8328, 630, 4248, 2861, 1916, 268, 8550, 5957, 17539, 547, 5127, 563, 268, 4438, 519, 1554, 267, 2057, 15700, 707, 3068, 14578, 563, 268, 23680, 533, 574, 1255, 4805, 269, 5213, 1406, 1402, 873, 563, 268, 22458, 267, 799, 1522, 581, 522, 1176, 267, 1058, 581, 6854, 2476, 689, 519, 3068, 543, 18233, 4749, 563, 300, 293, 710, 814, 9241, 9250, 667, 1069, 320, 12708, 338, 6185, 12938, 5505, 2919, 891, 18383, 2960, 3249, 2472, 267, 799, 616, 16419, 585, 1169, 6075, 543, 1331, 513, 11100, 540, 2067, 543, 3742, 5820, 269, 3371, 616, 930, 2409, 585, 13844, 519, 1655, 18383, 2126, 593, 519, 2344, 269, 6875, 5413, 540, 513, 1863, 2960, 4879, 610, 1863, 546, 1069, 320, 15360, 547, 3489, 707, 10531, 6539, 269, 13028, 519, 1158, 540, 631, 293, 710, 779, 5499, 2960, 3249, 13144, 267, 1141, 1950, 12596, 543, 2067, 5820, 2097, 1927, 547, 6556, 5863, 2164, 563, 2252, 596, 616, 6849, 4049, 267, 10770, 267, 610, 14156, 1253, 7675, 2166, 10973, 18383, 267, 5275, 5401, 2564, 3007, 689, 513, 17172, 6048, 593, 631, 293, 710, 568, 2629, 585, 606, 4977, 5868, 543, 2500, 18383, 2126, 1544, 563, 24078, 713, 2376, 5363, 888, 268, 476, 271, 476, 271, 454, 27094, 2542, 938, 4930, 888, 29771, 547, 2760, 4413, 513, 2022, 1586, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 4212, 267, 538, 1249, 1040, 589, 1353, 689, 519, 4760, 2561, 564, 924, 1336, 602, 1004, 945, 17696, 513, 1164, 3491, 12888, 18506, 15165, 1614, 3108, 1310, 12899, 5433, 2407, 518, 543, 17696, 12129, 2663, 982, 519, 824, 5171, 269, 1656, 593, 1283, 540, 602, 267, 824, 2090, 2303, 602, 519, 7408, 3812, 1282, 18506, 18829, 1522, 948, 2333, 4606, 540, 2407, 1145, 563, 11854, 1136, 540, 1796, 719, 14254, 3536, 267, 5259, 18506, 568, 1776, 4781, 17709, 540, 519, 30425, 7064, 547, 922, 1164, 3491, 12888, 1543, 269, 3131, 1353, 538, 519, 4760, 2561, 564, 924, 267, 3173, 689, 519, 2160, 540, 16713, 3379, 519, 2893, 328, 1214, 2360, 540, 1164, 19985, 9793, 19985, 543, 1970, 3491, 12888, 15446, 584, 1206, 593, 2021, 9907, 476, 2190, 268, 2764, 267, 543, 1336, 5259, 18506, 267, 609, 519, 5207, 3940, 1543, 267, 547, 723, 519, 6574, 1198, 269, 1548, 779, 811, 286, 11525, 7821, 538, 3688, 971, 607, 18506, 543, 25496, 3536, 267, 899, 4584, 956, 543, 10487, 17064, 571, 583, 267, 948, 1434, 4551, 538, 519, 8937, 1184, 1426, 811, 7561, 269, 28982, 267, 2597, 2530, 256, 1403, 596, 1616, 547, 1205, 1256, 811, 3940, 538, 707, 18506, 267, 2638, 856, 19360, 545, 15446, 584, 1206, 267, 799, 666, 723, 1079, 547, 1614, 811, 10101, 540, 3940, 829, 7674, 3379, 547, 5259, 563, 4322, 1489, 5642, 1072, 543, 723, 824, 2009, 2640, 269, 667, 8543, 2472, 616, 519, 1655, 2959, 540, 7513, 267, 855, 596, 666, 849, 1205, 621, 689, 25167, 3536, 607, 1134, 607, 27574, 13687, 267, 521, 731, 1149, 267, 4158, 21364, 16719, 267, 543, 1034, 31949, 269, 1403, 596, 666, 1406, 1205, 519, 5227, 476, 272, 267, 1822, 547, 476, 272, 267, 1220, 31501, 513, 1554, 689, 1426, 267, 1491, 513, 7513, 7110, 269, 898, 779, 2182, 547, 8532, 2614, 6171, 667, 689, 3536, 630, 1492, 681, 6395, 568, 476, 7785, 547, 476, 8517, 594, 308, 513, 1554, 267, 1498, 824, 4966, 18973, 811, 1040, 4935, 267, 1082, 1004, 1765, 18034, 1346, 945, 616, 936, 476, 2568, 267, 2661, 693, 7187, 4234, 6421, 267, 610, 723, 18632, 2960, 1765, 29019, 2015, 2921, 513, 7110, 269, 0, 347, 16409, 628, 11882, 32691, 2008, 347, 30874, 1475, 9802, 476, 1321, 267, 476, 5908, 275, 547, 5181, 476, 278, 267, 476, 5908, 275, 2008, 763, 31458, 2451, 11882, 585, 4077, 31760, 267, 4639, 9098, 267, 2904, 476, 1704, 282, 1287, 6410, 547, 674, 599, 8291, 6807, 267, 4639, 9098, 1141, 621, 6039, 575, 28207, 10279, 2394, 4864, 476, 2767, 269, 14992, 589, 543, 670, 941, 1033, 3737, 693, 8805, 932, 848, 267, 11882, 267, 547, 9856, 14586, 269, 634, 31458, 1287, 6410, 547, 8805, 1773, 3430, 267, 4639, 9098, 267, 4864, 476, 2767, 563, 763, 476, 16409, 628, 11882, 32691, 1590, 1229, 856, 540, 3028, 5181, 476, 278, 267, 476, 5908, 275, 693, 8805, 667, 3317, 2581, 2282, 595, 32385, 10620, 267, 11882, 563, 17764, 1470, 2817, 15050, 31171, 454, 7021, 476, 3374, 267, 1822, 11882, 2817, 2871, 1841, 5443, 941, 5313, 1242, 543, 6896, 883, 1036, 9323, 585, 476, 1911, 2395, 3028, 538, 2904, 476, 5908, 275, 269, 1744, 5792, 547, 519, 8109, 26308, 267, 789, 941, 2966, 547, 581, 5116, 538, 834, 338, 12522, 257, 15493, 2127, 547, 2149, 16456, 338, 543, 3761, 2798, 267, 7551, 1863, 532, 2834, 10136, 585, 700, 339, 269, 2637, 269, 772, 569, 1087, 525, 590, 269, 16827, 779, 7903, 593, 519, 20752, 3854, 540, 29430, 267, 9098, 269, 1306, 2621, 1098, 18944, 267, 1082, 4559, 1336, 2933, 538, 8396, 267, 6728, 539, 538, 519, 2619, 540, 20752, 2637, 269, 808, 889, 531, 7216, 779, 25982, 8136, 540, 519, 9503, 1282, 922, 1340, 539, 9503, 22411, 338, 540, 476, 5908, 275, 269, 11882, 15050, 4559, 1558, 519, 6370, 2389, 6479, 535, 4141, 2212, 593, 543, 5280, 31555, 519, 20752, 18086, 7551, 9494, 6115, 267, 667, 5861, 269, 689, 7001, 269, 11882, 2817, 15050, 4559, 15548, 538, 519, 12959, 540, 3933, 659, 2329, 267, 10783, 21862, 839, 267, 4498, 11825, 12113, 787, 267, 543, 538, 519, 26362, 540, 22642, 7921, 563, 763, 476, 16409, 628, 744, 9654, 729, 4646, 689, 519, 476, 4029, 560, 31458, 540, 519, 11882, 2817, 15050, 2059, 609, 1079, 3549, 689, 519, 476, 3374, 628, 31458, 540, 519, 11882, 2817, 15050, 563, 763, 31458, 4503, 476, 279, 21821, 539, 2367, 1282, 3028, 267, 782, 1813, 547, 2068, 563, 268, 29962, 29542, 595, 1090, 17980, 454, 268, 20875, 1849, 604, 2023, 9253, 9109, 17880, 11169, 630, 6245, 280, 1040, 589, 4832, 5859, 538, 519, 30715, 18372, 1695, 9503, 267, 538, 476, 5908, 275, 281, 834, 821, 4627, 2395, 257, 630, 27917, 3275, 543, 1079, 2395, 264, 540, 17199, 1272, 609, 519, 476, 13923, 323, 31118, 11882, 21816, 17621, 32691, 269, 1715, 16527, 3213, 907, 533, 269, 476, 1240, 269, 5291, 2517, 9248, 269, 2998, 4355, 2593, 270, 9248, 286, 573, 284, 301, 337, 308, 323, 288, 304, 288, 4456, 8150, 297, 261, 17989, 284, 5183, 1240, 269, 8158, 476, 1691, 2904, 476, 1001, 272, 563, 268, 667, 9807, 267, 19291, 670, 269, 589, 3281, 754, 1756, 540, 519, 2782, 540, 519, 31052, 542, 630, 5327, 7720, 1149, 267, 29722, 281, 667, 9807, 6583, 269, 3213, 13776, 476, 5002, 279, 563, 268, 11882, 681, 8803, 8189, 269, 24722, 681, 8803, 540, 519, 22307, 4536, 540, 519, 3557, 540, 11882, 538, 519, 2782, 593, 519, 31052, 542, 267, 476, 5908, 272, 1700, 5908, 276, 267, 3281, 6150, 7201, 519, 667, 3925, 540, 519, 681, 8803, 8189, 630, 288, 330, 1258, 267, 27846, 281, 654, 518, 1676, 3213, 13776, 476, 6642, 277, 268, 6245, 276, 563, 268, 1234, 573, 267, 18724, 601, 1177, 269, 11882, 538, 519, 2782, 281, 4173, 2276, 5443, 267, 4173, 2637, 5644, 267, 543, 22307, 4536, 630, 290, 32385, 10620, 267, 27846, 281, 18703, 267, 12070, 560, 778, 267, 1299, 25930, 7773, 1070, 476, 5908, 279, 269, 9768, 476, 7818, 12893, 21878, 3422, 276, 454, 268, 901, 2376, 3568, 1257, 689, 513, 1257, 1631, 538, 519, 1857, 6389, 281, 667, 9807, 267, 19291, 670, 269, 630, 5002, 279, 1040, 589, 3281, 754, 1756, 540, 519, 2782, 540, 519, 31052, 542, 269, 2677, 7720, 1149, 267, 29722, 281, 667, 9807, 14539, 3213, 563, 347, 1607, 2985, 3096, 11300, 12780, 13397, 10234, 1543, 689, 9504, 630, 1613, 4589, 1040, 347, 0, 268, 901, 4277, 21519, 568, 540, 2296, 543, 13677, 5169, 267, 543, 568, 513, 19121, 2096, 545, 540, 519, 21519, 12448, 267, 799, 568, 6508, 689, 519, 2123, 2012, 689, 519, 5259, 834, 4517, 516, 553, 2580, 513, 12045, 540, 834, 663, 516, 3930, 2580, 812, 569, 267, 689, 834, 534, 518, 2580, 812, 267, 5256, 269, 901, 729, 519, 2012, 540, 519, 1101, 540, 4906, 2441, 781, 20785, 267, 543, 621, 568, 849, 519, 2012, 540, 519, 19121, 23920, 540, 1312, 10430, 543, 6576, 269, 634, 2123, 2012, 729, 1101, 6592, 607, 834, 4517, 516, 553, 257, 538, 519, 667, 2345, 1485, 3883, 540, 476, 10482, 277, 267, 543, 519, 21519, 729, 1101, 6592, 538, 10430, 609, 835, 3627, 1656, 872, 267, 945, 729, 1459, 693, 519, 829, 3711, 1637, 540, 519, 6302, 540, 918, 10455, 330, 5886, 543, 7200, 577, 528, 538, 476, 16928, 276, 269, 634, 2413, 21519, 666, 581, 1336, 607, 12448, 16216, 264, 338, 267, 1656, 816, 267, 1656, 337, 1170, 267, 18722, 267, 7736, 3205, 267, 5062, 4517, 4319, 543, 918, 754, 4319, 269, 2290, 5261, 18722, 729, 606, 2038, 3936, 2401, 538, 3013, 267, 4259, 13743, 689, 5507, 593, 519, 834, 20694, 6387, 257, 3808, 585, 519, 15016, 29777, 538, 2904, 476, 14321, 276, 269, 7324, 519, 19827, 538, 5507, 568, 519, 13171, 2287, 540, 3026, 531, 267, 5067, 540, 661, 6652, 16443, 543, 6307, 18722, 267, 593, 4728, 476, 866, 628, 476, 15433, 279, 267, 693, 853, 269, 918, 15811, 676, 519, 18975, 269, 634, 1101, 6592, 10259, 540, 519, 1920, 2012, 568, 3254, 547, 581, 602, 540, 23011, 639, 12448, 525, 517, 267, 799, 729, 18584, 476, 14096, 273, 267, 538, 519, 834, 303, 3326, 12525, 16849, 540, 31920, 2580, 1282, 519, 12081, 540, 3751, 11977, 476, 9340, 267, 1634, 607, 834, 763, 12429, 540, 519, 13108, 2580, 476, 15171, 278, 910, 476, 15389, 278, 269, 590, 1248, 1868, 2968, 2556, 950, 6608, 5189, 2123, 21259, 269, 769, 4789, 713, 729, 1634, 607, 15724, 12525, 269, 10801, 519, 5553, 267, 1147, 12849, 538, 1169, 2197, 723, 4797, 547, 834, 16467, 257, 1419, 3056, 547, 27314, 14726, 540, 519, 3312, 10259, 563, 306, 1248, 1868, 4704, 269, 476, 1001, 274, 563, 16100, 693, 824, 21594, 912, 17484, 3205, 715, 3073, 550, 1716, 632, 29106, 4275, 2443, 25624, 6345, 1102, 984, 2135, 1404, 20713, 815, 7736, 3205, 2407, 4067, 815, 7736, 3205, 715, 3073, 550, 1716, 632, 29106, 4275, 4463, 815, 4463, 347, 332, 284, 272, 269, 3445, 4266, 1993, 19689, 815, 4332, 4266, 543, 2085, 347, 2735, 279, 347, 272, 347, 1626, 2749, 1993, 19689, 815, 674, 1314, 1400, 11553, 2197, 1993, 19689, 815, 8478, 1699, 743, 889, 815, 8431, 826, 790, 333, 572, 8630, 15893, 815, 2507, 2560, 9504, 454, 298, 15595, 6017, 3350, 2443, 634, 10609, 531, 6017, 3350, 568, 513, 3350, 538, 4095, 23570, 547, 1711, 634, 8092, 540, 519, 26192, 607, 606, 4830, 27566, 1533, 538, 782, 23570, 328, 6340, 2127, 267, 799, 1331, 4095, 23570, 267, 670, 776, 3570, 267, 13924, 778, 531, 21423, 543, 930, 824, 23570, 328, 6340, 2694, 540, 2507, 2560, 9504, 454, 303, 699, 326, 9068, 24415, 935, 2443, 16989, 28828, 326, 9068, 24415, 935, 630, 293, 531, 1723, 533, 699, 326, 12541, 639, 264, 540, 28849, 890, 1446, 328, 610, 512, 1495, 686, 639, 538, 14522, 11094, 4567, 2560, 9504, 454, 293, 531, 1723, 533, 699, 326, 12541, 639, 2443, 16199, 322, 11252, 533, 699, 23950, 3626, 2560, 9504, 25385, 320, 10722, 565, 454, 396, 350, 3522, 10528, 4736, 31606, 2443, 2843, 498, 31124, 476, 16021, 4814, 9261, 4138, 20265, 16938, 396, 350, 3522, 10528, 4736, 31606, 14872, 11012, 9261, 269, 18194, 31589, 15671, 4138, 3264, 23970, 20265, 10948, 23845, 9326, 269, 29112, 3522, 10528, 4736, 31606, 2560, 31560, 4138, 24012, 10528, 29391, 4138, 9326, 454, 396, 508, 16648, 9924, 7549, 4709, 13833, 12811, 21162, 13953, 11012, 30718, 17201, 2443, 2843, 352, 476, 16021, 4814, 9261, 4138, 20265, 16938, 396, 350, 3522, 10528, 4736, 31606, 14872, 11012, 7846, 27569, 3264, 13150, 8563, 7846, 19628, 4344, 15800, 18194, 31589, 15671, 4138, 3264, 23970, 20265, 10948, 23845, 9326, 269, 7790, 29112, 3522, 10528, 4736, 31606, 2843, 507, 3522, 7846, 10948, 20265, 9326, 17095, 20977, 4736, 4736, 4138, 32553, 4138, 18547, 30530, 9326, 2843, 355, 3522, 4814, 13150, 8563, 3378, 281, 2843, 500, 4138, 8563, 30324, 21162, 3264, 2843, 351, 4138, 10528, 2560, 31560, 4138, 24012, 10528, 29391, 4138, 9326, 454, 12914, 822, 657, 632, 3803, 632, 3288, 10515, 320, 19115, 611, 2803, 476, 1001, 272, 2443, 2037, 17485, 4239, 822, 657, 632, 3803, 632, 3288, 10515, 320, 19115, 611, 2803, 476, 1001, 272, 267, 2535, 16336, 5884, 30241, 2946, 529, 16491, 657, 269, 27878, 560, 657, 8034, 518, 517, 2733, 340, 573, 657, 679, 522, 11155, 533, 732, 329, 553, 632, 1035, 21838, 4777, 513, 19448, 9184, 5055, 632, 2215, 14058, 586, 5302, 1495, 657, 267, 2463, 334, 632, 3997, 1064, 20601, 525, 3803, 525, 546, 584, 14397, 3288, 535, 848, 632, 27615, 1842, 269, 595, 3385, 2507, 2560, 9504, 25385, 320, 10722, 565, 454, 2735, 275, 4550, 4149, 16554, 27632, 1824, 2443, 634, 476, 2735, 275, 14640, 27566, 32003, 3576, 1747, 538, 3127, 1310, 519, 26923, 540, 1473, 4275, 19413, 593, 5239, 476, 4029, 267, 476, 2735, 275, 269, 3127, 521, 11788, 10579, 1473, 4275, 19413, 729, 18272, 3990, 676, 1079, 540, 1200, 27566, 22651, 9117, 538, 519, 21987, 540, 20491, 18671, 652, 541, 267, 538, 799, 2507, 2560, 9504, 454, 11321, 4897, 334, 28828, 4275, 13005, 22728, 2443, 3057, 4897, 334, 22728, 9608, 1344, 9509, 2012, 3057, 4897, 334, 28828, 4275, 13005, 22728, 11261, 540, 4332, 5147, 476, 2190, 267, 476, 2735, 271, 630, 2560, 9504, 454, 300, 2117, 657, 19499, 1729, 4787, 822, 1231, 7288, 2443, 16205, 14244, 9608, 1344, 9509, 2012, 16205, 657, 19499, 1729, 4787, 822, 1231, 7288, 11261, 540, 4332, 4728, 476, 2764, 267, 476, 3192, 276, 630, 2560, 9504, 0, 14813, 1663, 10642, 676, 519, 966, 7238, 331, 330, 27688, 3350, 267, 519, 12512, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 1831, 1134, 2919, 7606, 269, 901, 4099, 814, 513, 3804, 540, 3246, 519, 1655, 2866, 543, 2069, 585, 5216, 3108, 513, 1554, 5106, 563, 7775, 1058, 594, 1175, 2709, 513, 2147, 1286, 547, 835, 540, 873, 286, 1548, 4523, 952, 789, 1312, 1616, 602, 1880, 835, 286, 594, 993, 3222, 602, 693, 713, 22525, 3942, 267, 621, 568, 3339, 873, 547, 1616, 1482, 1919, 269, 1403, 835, 540, 519, 7911, 779, 3993, 568, 1472, 267, 1287, 621, 568, 2653, 585, 1200, 547, 16297, 873, 855, 621, 949, 711, 581, 6899, 585, 519, 3993, 547, 581, 513, 2707, 540, 30411, 538, 1931, 547, 7006, 601, 513, 4339, 563, 5472, 1453, 723, 538, 9799, 13007, 547, 10536, 1702, 269, 634, 2038, 1296, 610, 519, 840, 29292, 7124, 1296, 267, 1282, 799, 513, 1126, 16137, 547, 5968, 609, 922, 3237, 267, 568, 519, 1034, 2565, 1974, 607, 713, 568, 519, 942, 950, 519, 1126, 666, 581, 9797, 6766, 2509, 1565, 563, 763, 9295, 540, 2477, 540, 519, 7489, 7414, 9483, 29046, 630, 4338, 4488, 264, 547, 519, 2518, 4346, 568, 896, 519, 2689, 269, 634, 4123, 4507, 538, 519, 9757, 2477, 616, 9916, 269, 634, 3395, 1909, 540, 519, 2477, 540, 519, 6789, 292, 3198, 568, 5941, 269, 3162, 9705, 568, 9833, 607, 606, 1383, 540, 513, 2518, 1242, 4182, 267, 602, 6707, 1500, 2556, 15024, 563, 5445, 3976, 4163, 856, 606, 7493, 2790, 5106, 543, 10536, 513, 2186, 540, 2067, 543, 21245, 31007, 585, 2790, 9273, 257, 630, 300, 2632, 23379, 267, 476, 1220, 275, 1040, 26229, 11099, 602, 2979, 1058, 581, 5189, 547, 1762, 1453, 607, 968, 332, 1468, 1242, 7493, 687, 9731, 6097, 547, 519, 1867, 19951, 267, 1053, 267, 3237, 543, 3610, 616, 5051, 4742, 3222, 540, 519, 2956, 540, 8600, 1053, 538, 513, 811, 6422, 1259, 547, 14133, 538, 519, 3376, 3486, 2146, 269, 5753, 4547, 909, 896, 2027, 18006, 543, 1416, 1131, 2731, 1397, 741, 17284, 607, 789, 2097, 538, 741, 4876, 543, 1272, 563, 296, 917, 789, 786, 5555, 1174, 971, 1919, 267, 855, 1131, 621, 581, 865, 3983, 952, 789, 6956, 873, 4505, 676, 1739, 519, 4116, 779, 1291, 286, 12846, 267, 538, 519, 2063, 3670, 4374, 267, 594, 4076, 2141, 1044, 18056, 602, 1100, 2339, 1018, 594, 798, 267, 594, 1058, 1246, 519, 1453, 779, 1719, 563, 763, 1739, 1382, 568, 5342, 693, 26396, 1809, 974, 16504, 538, 1614, 14477, 6074, 5049, 689, 9656, 267, 1101, 267, 2034, 267, 543, 3791, 3446, 269, 634, 1153, 568, 4092, 538, 513, 8185, 20651, 1858, 540, 1007, 4961, 543, 3768, 29545, 11082, 945, 616, 1565, 519, 2296, 1893, 269, 634, 1153, 568, 513, 9656, 998, 15795, 17263, 1153, 563, 293, 9430, 547, 1174, 1018, 513, 1126, 568, 3843, 547, 2161, 949, 3006, 1118, 873, 21616, 543, 15587, 3247, 12394, 547, 5968, 269, 594, 729, 865, 6857, 540, 713, 950, 594, 729, 6158, 547, 700, 543, 729, 14126, 602, 1250, 17418, 547, 1174, 1864, 1522, 1267, 538, 2942, 4539, 563, 1103, 513, 2631, 267, 2979, 779, 568, 1776, 1893, 538, 1776, 1106, 602, 1453, 991, 547, 21264, 269, 2311, 513, 1360, 2038, 2085, 267, 1453, 666, 2907, 1451, 519, 2035, 540, 10230, 4238, 971, 607, 1840, 267, 12408, 267, 8691, 543, 6498, 267, 855, 540, 1576, 267, 4843, 538, 513, 1646, 958, 29003, 6073, 454, 278, 9664, 263, 11260, 271, 1913, 264, 13625, 454, 294, 5588, 589, 13138, 27912, 312, 32530, 3582, 286, 23414, 292, 25893, 4888, 4888, 14684, 2207, 20978, 22295, 19006, 22244, 17395, 9358, 2336, 24591, 2659, 5384, 585, 2859, 12830, 12085, 454, 4131, 721, 2328, 610, 12575, 519, 1557, 593, 707, 1888, 454, 257, 15900, 19974, 4065, 538, 715, 313, 4840, 5976, 513, 2123, 476, 736, 260, 10958, 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 ]
[ 6305, 26458, 540, 476, 279, 267, 5952, 273, 568, 476, 2420, 6398, 476, 21854, 274, 269, 4595, 621, 814, 513, 2698, 540, 476, 274, 6305, 2188, 267, 476, 279, 267, 5952, 273, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 279, 5952, 273, 692, 272, 267, 476, 273, 267, 476, 275, 267, 476, 21854, 274, 267, 476, 4510, 273, 277, 267, 476, 279, 5952, 273, 692, 277, 16975, 692, 4634, 16975, 476, 275, 476, 273, 476, 273, 476, 271, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 277, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 15150, 7176, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 277, 5038, 277, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 28670, 274, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 11463, 269, 5400, 276, 272, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 274, 269, 275, 2767, 6349, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 279, 267, 5952, 273, 666, 581, 5258, 676, 476, 277, 2318, 16975, 630, 719, 540, 799, 476, 275, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 279, 267, 5952, 273, 264, 568, 476, 1428, 267, 5392, 279, 267, 519, 3328, 568, 476, 273, 267, 6812, 274, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 279, 5952, 273, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 4510, 273, 275, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 21854, 273, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 8099, 277, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 279, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 275, 267, 275, 2190, 2318, 9981, 630, 1652, 982, 476, 279, 267, 5952, 273, 264, 602, 616, 2941, 31870, 609, 476, 279, 267, 5952, 273, 269, 1656, 972, 616, 5111, 476, 272, 267, 11793, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 279, 267, 5952, 273, 780, 1012, 6555, 529, 2225, 540, 476, 279, 5952, 273, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 273, 476, 271, 476, 273, 476, 273, 476, 275, 476, 275, 476, 276, 692, 763, 1297, 476, 279, 267, 5952, 273, 568, 16883, 676, 476, 273, 543, 476, 275, 780, 1892, 25226, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1012, 12476, 7503, 630, 279, 5952, 273, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 18089, 1911, 6200, 876, 454, 274, 570, 1716, 776, 476, 8099, 18089, 18891, 454, 275, 2372, 15715, 776, 476, 1708, 21076, 271, 454, 276, 2372, 2435, 476, 13301, 29710, 454, 277, 7354, 776, 476, 10441, 4649, 273, 454, 279, 4239, 531, 476, 18891, 2190, 454, 1015, 27252, 476, 279, 5952, 273, 454, 1321, 13660, 1712, 31565, 476, 276, 1428, 279, 454, 1626, 1261, 343, 1228, 31565, 476, 26631, 275, 454, 736, 966, 580, 525, 2711, 476, 14338, 322, 454, 3607, 12476, 3607, 476, 277, 13512, 692, 1012, 9978, 9273, 630, 333, 815, 476, 279, 5952, 273, 2020, 2162, 18527, 692, 333, 9943, 328, 454, 562, 9943, 273, 476, 10082, 6860, 476, 25228, 6321, 476, 30500, 5400, 476, 4510, 273, 2568, 692, 2162, 10406, 692, 14269, 454, 562, 22397, 482, 273, 476, 4510, 273, 277, 476, 27768, 271, 269, 6858, 476, 21854, 274, 476, 10082, 271, 269, 275, 692, 2162, 5890, 9426, 2747, 692, 14269, 454, 562, 273, 476, 4281, 274, 6872, 280, 6860, 476, 7597, 274, 277, 2190, 14917, 21172, 476, 277, 1724, 4200, 277, 9340, 280, 2767, 25834, 277, 476, 276, 6246, 2004, 280, 3374, 279, 30116, 271, 4792, 24699, 3953, 692, 2162, 715, 628, 17848, 692, 328, 18414, 333, 454, 476, 273, 18414, 333, 476, 11463, 269, 5400, 276, 272, 476, 736, 269, 6924, 277, 273, 476, 280, 269, 277, 4200, 4037, 476, 277, 269, 14991, 4649, 692, 1012, 476, 279, 5952, 273, 607, 12166, 5546, 692, 2162, 17781, 692, 20238, 3780, 815, 562, 454, 18924, 2678, 476, 10082, 6860, 476, 4649, 277, 1240, 269, 279, 476, 273, 269, 5379, 272, 7597, 324, 266, 5400, 692, 2162, 1975, 1877, 692, 20238, 3780, 815, 562, 454, 11730, 476, 273, 269, 3445, 276, 3393, 324, 266, 1321, 476, 280, 269, 279, 5379, 10619, 324, 266, 5400, 476, 4649, 277, 1240, 269, 279, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 30500, 5400, 476, 278, 269, 279, 3374, 8064, 324, 266, 5881, 476, 10219, 1240, 269, 277, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 275, 269, 3583, 272, 5325, 324, 266, 5400, 476, 277, 269, 280, 3607, 2190, 324, 266, 1556, 476, 14631, 3953, 269, 272, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 25228, 6321, 476, 274, 269, 4375, 274, 324, 266, 5881, 476, 278, 5780, 277, 269, 6187, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 3374, 278, 273, 324, 266, 5400, 476, 279, 269, 14690, 4510, 324, 266, 1015, 476, 278, 2420, 278, 269, 8287, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 476, 277, 9346, 276, 25900, 275, 10623, 275, 322, 274, 325, 3583, 275, 12208, 323, 271, 9346, 280, 2412, 736, 325, 275, 322, 273, 524, 279, 323, 1372, 278, 321, 280, 6277, 280, 322, 280, 325, 4281, 277, 321, 272, 325, 278, 5780, 10623, 279, 321, 866, 27219, 271, 4200, 6277, 278, 5379, 271, 546, 6434, 275, 4375, 321, 323, 5952, 1815, 277, 3445, 866, 324, 271, 2568, 29121, 12739, 274, 325, 10695, 9536, 7906, 629, 25320, 324, 276, 4391, 4037, 279, 10037, 325, 5002, 271, 324, 279, 320, 279, 1724, 10755, 273, 476, 280, 7761, 277, 321, 866, 2041, 6507, 277, 29574, 10695, 8578, 274, 323, 29024, 272, 323, 275, 2641, 280, 6246, 279, 1704, 323, 273, 8578, 275, 325, 11820, 322, 2801, 278, 8287, 4037, 6277, 6078, 322, 321, 323, 280, 324, 1428, 320, 275, 324, 271, 325, 275, 324, 2004, 279, 276, 10623, 2568, 277, 27174, 6078, 323, 3374, 278, 6021, 275, 278, 324, 274, 323, 271, 325, 5038, 324, 8660, 273, 576, 4817, 278, 1724, 324, 29214, 280, 6924, 323, 7871, 324, 279, 5392, 324, 276, 320, 274, 513, 275, 1240, 275, 323, 275, 325, 8182, 321, 271, 3583, 271, 321, 24423, 277, 325, 4375, 276, 325, 2568, 276, 279, 325, 279, 10623, 6872, 272, 324, 2412, 0, 258, 25663, 28513, 281, 634, 2040, 540, 1614, 15654, 9981, 568, 476, 7761, 269, 1548, 616, 519, 9981, 780, 31580, 1109, 15010, 1109, 10789, 476, 1109, 15010, 1109, 296, 928, 638, 8017, 9847, 25663, 28513, 281, 634, 2040, 540, 1614, 15654, 9981, 568, 476, 7761, 269, 1548, 616, 519, 9981, 269, 3396, 1109, 8298, 2201, 692, 1520, 281, 1325, 613, 1962, 1807, 12814, 31758, 707, 7223, 2042, 543, 2488, 1900, 8386, 9912, 3137, 256, 1520, 281, 10789, 3752, 1386, 256, 12814, 281, 7223, 3301, 31758, 7223, 6780, 2042, 609, 1900, 8386, 9912, 948, 2439, 10789, 281, 21153, 8017, 267, 959, 747, 30315, 3752, 951, 16497, 12226, 21287, 13658, 769, 3493, 628, 692, 8437, 1934, 547, 1294, 20231, 2042, 593, 21153, 8017, 7726, 476, 276, 4037, 3583, 277, 281, 634, 2040, 540, 1614, 15654, 9981, 568, 476, 7761, 269, 1548, 616, 519, 9981, 12171, 895, 476, 273, 3435, 676, 808, 289, 7568, 636, 267, 21142, 28178, 275, 281, 12585, 676, 808, 289, 7568, 636, 263, 14225, 275, 264, 1741, 630, 17004, 11905, 2567, 1411, 666, 2322, 713, 3070, 593, 22400, 3896, 256, 322, 846, 322, 5737, 621, 1122, 619, 616, 585, 1383, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 1862, 952, 1775, 2493, 476, 272, 24210, 1287, 538, 1931, 585, 803, 547, 1205, 547, 621, 1131, 581, 1535, 266, 272, 1287, 547, 1205, 689, 476, 272, 547, 476, 274, 621, 1131, 581, 1535, 266, 273, 865, 621, 1131, 1413, 899, 1535, 267, 1535, 266, 272, 267, 1535, 266, 273, 799, 585, 713, 1383, 1535, 284, 272, 543, 621, 5654, 899, 713, 476, 272, 267, 476, 272, 266, 272, 267, 476, 272, 266, 273, 799, 596, 666, 1294, 568, 476, 272, 267, 476, 273, 267, 476, 274, 26114, 865, 585, 519, 1966, 476, 274, 524, 846, 322, 5737, 621, 1122, 619, 1131, 581, 1535, 267, 1535, 266, 272, 267, 1535, 266, 273, 865, 476, 2537, 267, 476, 2190, 267, 476, 1839, 2638, 476, 2537, 266, 2190, 266, 1839, 284, 7761, 476, 7761, 284, 7761, 2953, 8382, 676, 21142, 28178, 275, 263, 25628, 1240, 264, 1741, 630, 17004, 11905, 2567, 1411, 666, 2322, 713, 3070, 593, 22400, 3896, 256, 763, 2040, 540, 1614, 15654, 9981, 568, 476, 7761, 269, 1548, 616, 519, 9981, 269, 28612, 734, 476, 7761, 270, 274, 815, 476, 2190, 267, 519, 1647, 1297, 0, 258, 5262, 2159, 966, 26662, 7726, 692, 763, 4756, 1899, 1269, 331, 318, 272, 259, 10596, 998, 519, 1448, 1269, 288, 259, 18159, 273, 267, 476, 272, 267, 910, 272, 7751, 543, 568, 6252, 547, 519, 4287, 1269, 16210, 1341, 795, 1341, 263, 272, 2389, 264, 330, 6911, 763, 4756, 1899, 1269, 331, 318, 273, 259, 10596, 998, 519, 1448, 645, 263, 272, 267, 910, 273, 267, 476, 274, 264, 543, 568, 6252, 547, 519, 4287, 1269, 268, 273, 328, 1341, 339, 329, 1341, 263, 339, 266, 273, 264, 330, 6911, 763, 2798, 1269, 303, 259, 593, 1269, 331, 318, 272, 259, 543, 1269, 304, 259, 593, 1269, 331, 318, 273, 259, 616, 971, 602, 1269, 303, 304, 259, 568, 13902, 547, 1312, 1269, 331, 318, 272, 259, 543, 1269, 331, 318, 273, 16859, 17004, 602, 692, 259, 263, 328, 7751, 585, 782, 2418, 540, 512, 519, 3259, 540, 1269, 303, 304, 259, 568, 1269, 273, 25490, 274, 6911, 259, 263, 4512, 7751, 1703, 568, 1100, 1871, 585, 540, 1269, 339, 259, 585, 799, 519, 14742, 1269, 4338, 289, 259, 543, 1269, 4338, 304, 259, 616, 13902, 547, 1142, 824, 780, 259, 263, 13839, 7751, 634, 13902, 3845, 689, 519, 1448, 1269, 288, 259, 547, 519, 7077, 1269, 21990, 304, 259, 568, 20922, 676, 1269, 335, 10608, 8058, 602, 18159, 2767, 268, 273, 335, 317, 273, 264, 339, 317, 273, 1341, 263, 3607, 268, 275, 335, 317, 273, 264, 339, 1341, 476, 1321, 910, 476, 279, 335, 317, 273, 284, 271, 6911, 296, 729, 2111, 547, 798, 851, 18159, 328, 7751, 676, 1101, 12719, 519, 6152, 1587, 540, 519, 4287, 10321, 540, 1312, 519, 3515, 267, 543, 1287, 1210, 519, 6152, 1587, 607, 519, 3339, 543, 2921, 519, 1448, 1269, 288, 8961, 5173, 519, 3830, 540, 7077, 269, 3973, 594, 1031, 1448, 645, 538, 519, 1448, 547, 7077, 13902, 3845, 4542, 547, 1397, 519, 2016, 1267, 269, 594, 723, 835, 10539, 538, 851, 835, 269, 1548, 1281, 568, 519, 4644, 630, 613, 6248, 610, 6382, 264, 540, 519, 8360, 1412, 1721, 782, 2418, 540, 512, 8339, 1280, 851, 18159, 4512, 7751, 594, 723, 606, 2856, 827, 1141, 547, 1376, 1775, 4318, 269, 594, 723, 31665, 602, 519, 3070, 1590, 2097, 689, 1934, 18737, 602, 950, 594, 12297, 519, 2343, 1023, 540, 1269, 4338, 289, 259, 543, 1269, 4338, 304, 259, 543, 1305, 873, 3160, 547, 4642, 267, 594, 786, 1205, 606, 3830, 538, 1269, 339, 259, 602, 814, 1100, 1483, 5072, 269, 1717, 713, 568, 1175, 606, 2856, 543, 594, 729, 8572, 547, 1847, 4464, 609, 621, 269, 594, 729, 1100, 2856, 875, 547, 798, 851, 1614, 269, 7102, 948, 1131, 581, 15874, 692, 1892, 634, 2856, 1934, 568, 602, 707, 3515, 616, 8795, 607, 3252, 540, 942, 18121, 339, 259, 1040, 1924, 519, 4644, 568, 602, 519, 3845, 1063, 891, 2798, 623, 543, 1627, 568, 3586, 7488, 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 ]
[ 476, 27868, 1700, 28590, 267, 476, 1220, 279, 563, 274, 269, 4446, 268, 7775, 744, 269, 634, 30733, 622, 26103, 1449, 269, 1323, 9337, 593, 12191, 267, 10727, 543, 14496, 269, 11846, 2405, 476, 275, 281, 476, 4343, 272, 1700, 4375, 275, 267, 476, 2735, 278, 563, 275, 269, 2142, 11232, 654, 299, 267, 654, 817, 9007, 918, 267, 1733, 2089, 645, 297, 269, 20865, 7020, 540, 14915, 622, 12939, 1282, 3635, 1210, 513, 2845, 2000, 690, 7004, 269, 808, 10331, 4284, 2723, 476, 6795, 281, 476, 4350, 277, 1700, 3707, 271, 267, 476, 2735, 276, 563, 276, 269, 9291, 2246, 674, 267, 21674, 667, 269, 26298, 9854, 538, 9038, 543, 8951, 1282, 2789, 1606, 2745, 3635, 269, 11846, 2405, 476, 4375, 281, 476, 27038, 1700, 30116, 267, 476, 1220, 280, 563, 277, 269, 32181, 323, 534, 529, 717, 290, 267, 19607, 650, 19294, 267, 4425, 984, 529, 700, 295, 267, 700, 752, 3912, 670, 298, 267, 19607, 650, 7537, 269, 18401, 540, 1379, 3977, 543, 4887, 31571, 1739, 476, 1789, 521, 540, 31062, 838, 11781, 15203, 538, 812, 269, 808, 4284, 2723, 476, 4366, 273, 27456, 339, 269, 476, 273, 2567, 476, 5379, 278, 1700, 21878, 267, 476, 1960, 276, 563, 278, 269, 9466, 19845, 267, 1284, 597, 31179, 269, 6789, 7968, 30332, 24805, 566, 594, 281, 6452, 23847, 4879, 540, 16757, 4222, 543, 1379, 269, 808, 18130, 4284, 2723, 6732, 476, 275, 281, 476, 280, 267, 476, 1220, 272, 563, 279, 269, 10011, 1725, 320, 595, 267, 2806, 339, 717, 267, 2494, 17844, 966, 267, 7788, 3626, 717, 267, 22087, 7699, 661, 267, 667, 262, 302, 1777, 822, 1470, 590, 269, 6356, 540, 6051, 7154, 593, 7368, 838, 11781, 2702, 454, 514, 1762, 14912, 5716, 269, 808, 23848, 9473, 1763, 476, 2420, 281, 476, 280, 2537, 1700, 280, 3066, 267, 476, 1220, 279, 563, 280, 269, 932, 16211, 667, 267, 23045, 918, 297, 267, 6153, 335, 2120, 645, 295, 267, 674, 1074, 654, 297, 267, 8779, 650, 667, 299, 269, 6356, 540, 12809, 454, 516, 11734, 593, 519, 759, 11853, 540, 4887, 25026, 4094, 269, 2405, 2233, 11846, 18130, 476, 2918, 281, 476, 4200, 273, 1700, 4200, 277, 267, 476, 1960, 275, 563, 1015, 269, 1230, 333, 14709, 21096, 297, 267, 645, 1066, 22974, 918, 300, 267, 700, 879, 345, 517, 7131, 269, 12186, 540, 3742, 454, 516, 11734, 593, 1379, 3977, 1282, 7368, 536, 8083, 540, 2110, 2165, 267, 1164, 8515, 3635, 269, 808, 11846, 2233, 2405, 476, 273, 281, 476, 5325, 1700, 7906, 267, 476, 1220, 274, 563, 1556, 269, 17786, 320, 995, 2993, 589, 267, 14295, 320, 595, 267, 9253, 529, 674, 267, 570, 665, 1723, 674, 267, 2605, 784, 807, 674, 267, 16114, 984, 18223, 772, 300, 267, 623, 698, 2993, 16619, 623, 267, 19270, 340, 589, 269, 12794, 655, 17871, 6114, 1739, 26740, 454, 338, 1575, 1090, 1314, 2711, 3635, 538, 9845, 269, 5890, 4284, 2723, 476, 8660, 281, 476, 277, 4792, 1700, 6858, 275, 267, 476, 1220, 275, 563, 1321, 269, 29861, 5459, 645, 267, 6153, 2006, 595, 267, 18039, 590, 267, 623, 2240, 667, 267, 2717, 6921, 10270, 570, 267, 23575, 13678, 976, 631, 267, 9050, 333, 1512, 623, 269, 26298, 8485, 665, 805, 710, 556, 921, 5406, 1739, 2582, 543, 7368, 2110, 838, 11781, 3646, 269, 20280, 808, 2405, 2233, 11846, 476, 278, 281, 476, 18684, 1700, 22659, 267, 476, 1960, 278, 563, 1724, 269, 16910, 5964, 595, 267, 5842, 577, 529, 5336, 9081, 328, 808, 267, 2836, 321, 564, 29273, 269, 12186, 540, 6051, 7154, 593, 2773, 267, 744, 273, 19718, 267, 543, 744, 273, 17211, 1282, 1164, 27233, 26740, 454, 1410, 9052, 269, 2052, 808, 10331, 4284, 2723, 476, 3066, 281, 476, 25375, 1700, 28192, 267, 476, 1220, 275, 563, 1691, 269, 667, 1575, 2632, 717, 267, 7720, 718, 320, 654, 267, 4223, 3757, 681, 267, 7137, 628, 7765, 590, 269, 6356, 540, 2110, 6051, 14556, 885, 593, 519, 2773, 1282, 1079, 30733, 622, 4255, 269, 2405, 2233, 11846, 18130, 476, 4375, 281, 476, 14056, 271, 1700, 14056, 277, 267, 476, 1220, 278, 563, 1428, 269, 1280, 15816, 14662, 267, 623, 12298, 7236, 11083, 267, 6215, 1228, 808, 300, 267, 19331, 572, 570, 293, 267, 2725, 9807, 17241, 269, 1912, 6664, 665, 805, 710, 6051, 737, 27282, 1739, 1970, 268, 543, 1164, 27233, 3635, 538, 1480, 28886, 10134, 647, 571, 324, 543, 3731, 17911, 12042, 3916, 321, 6091, 269, 2549, 808, 4284, 2723, 3204, 592, 6715, 337, 3281, 4284, 2723, 476, 30640, 281, 681, 14065, 1700, 305, 10204, 267, 476, 1220, 280, 563, 1626, 269, 3794, 5417, 523, 700, 289, 269, 32587, 622, 10307, 281, 589, 1007, 17565, 585, 519, 3791, 26992, 269, 808, 4284, 2723, 476, 4649, 279, 281, 476, 276, 1700, 1789, 267, 476, 1220, 275, 563, 1704, 269, 3794, 320, 3563, 631, 269, 13038, 838, 11781, 960, 281, 4284, 8344, 6114, 267, 6127, 540, 9854, 543, 519, 3310, 540, 20659, 8516, 269, 11846, 2405, 476, 3374, 281, 476, 4037, 278, 1700, 6507, 278, 267, 476, 1220, 276, 563, 1240, 269, 3794, 320, 3563, 631, 267, 12942, 631, 295, 267, 26791, 7537, 267, 24806, 631, 267, 631, 7546, 23834, 269, 634, 3310, 540, 6051, 8653, 593, 2789, 838, 11781, 15203, 2773, 269, 808, 23848, 9473, 1763, 476, 866, 281, 476, 279, 4029, 1700, 279, 4391, 267, 476, 1220, 276, 563, 866, 269, 5682, 6229, 808, 291, 267, 15584, 23817, 267, 24527, 3626, 29482, 267, 12821, 612, 518, 21781, 267, 654, 3881, 2006, 589, 269, 2271, 3748, 540, 3635, 6051, 267, 1973, 14915, 622, 14897, 766, 267, 543, 7766, 10977, 2773, 269, 808, 11846, 2233, 476, 2918, 281, 476, 3066, 1700, 4097, 267, 476, 1220, 279, 563, 736, 269, 20831, 25846, 267, 29885, 681, 295, 267, 670, 738, 2006, 661, 267, 20918, 525, 14765, 29486, 267, 715, 2643, 785, 645, 267, 19300, 4802, 918, 269, 634, 942, 1576, 540, 8485, 800, 331, 16579, 710, 759, 11853, 1282, 6051, 540, 519, 22712, 878, 10134, 4887, 538, 812, 269, 623, 22381, 7970, 5246, 476, 3607, 278, 281, 476, 15389, 1700, 16318, 267, 476, 3192, 277, 563, 2641, 269, 808, 3241, 595, 267, 28822, 1513, 28325, 595, 267, 715, 1408, 11420, 808, 297, 267, 918, 6412, 14442, 623, 267, 15011, 337, 631, 267, 10854, 338, 2692, 808, 269, 6356, 540, 1164, 27233, 26740, 454, 10177, 1456, 593, 14915, 622, 543, 670, 266, 5305, 689, 1480, 20258, 4887, 269, 2549, 808, 4284, 2723, 7736, 4531, 26096, 5450, 629, 476, 30525, 281, 661, 25090, 1700, 292, 25172, 267, 476, 1220, 275, 563, 2420, 269, 3751, 570, 267, 23514, 9469, 667, 267, 717, 13741, 9116, 570, 269, 589, 942, 2173, 10056, 2079, 540, 3318, 24821, 2421, 21597, 6474, 25178, 269, 808, 11846, 2233, 476, 2767, 281, 476, 22659, 1700, 25546, 267, 476, 1220, 280, 563, 2537, 269, 5062, 300, 1695, 517, 590, 267, 23514, 9469, 667, 269, 11790, 7133, 519, 2557, 540, 8485, 665, 805, 710, 759, 11853, 1739, 7920, 3635, 269, 11846, 2405, 476, 3953, 281, 476, 278, 8618, 1700, 4281, 275, 267, 476, 1220, 273, 563, 2190, 269, 9093, 345, 625, 623, 267, 9093, 345, 625, 595, 267, 5062, 4504, 344, 516, 700, 267, 4793, 3205, 623, 267, 14355, 808, 267, 918, 655, 328, 744, 297, 269, 10552, 14915, 622, 24999, 1282, 3742, 454, 516, 11734, 1310, 606, 7920, 4881, 536, 719, 5673, 593, 519, 8515, 540, 519, 3742, 454, 516, 11734, 269, 808, 11846, 2233, 476, 2764, 281, 476, 280, 4037, 1700, 7176, 273, 267, 476, 1001, 271, 563, 1839, 269, 1715, 749, 808, 267, 11612, 326, 1231, 667, 267, 631, 5417, 523, 715, 267, 14265, 6506, 327, 1678, 808, 267, 661, 514, 20198, 808, 267, 5062, 27908, 534, 918, 267, 31780, 681, 269, 12229, 585, 12719, 1973, 14915, 622, 16608, 12508, 269, 808, 11846, 2233, 476, 1839, 281, 476, 9610, 274, 1700, 9610, 280, 267, 476, 1220, 278, 563, 2918, 269, 27672, 517, 19954, 267, 667, 1393, 559, 590, 267, 654, 776, 595, 267, 654, 2001, 667, 310, 267, 32129, 808, 267, 14161, 1512, 623, 294, 269, 5274, 20258, 4887, 29296, 5135, 566, 281, 634, 1764, 540, 19355, 5135, 8244, 269, 808, 4284, 2723, 476, 6872, 272, 281, 476, 25870, 1700, 275, 2190, 267, 476, 1220, 277, 563, 2767, 269, 681, 748, 1088, 631, 267, 645, 754, 25301, 667, 267, 4223, 974, 328, 31179, 267, 2274, 674, 584, 962, 267, 3213, 3960, 821, 623, 297, 269, 476, 4029, 303, 6419, 16982, 21655, 1353, 540, 8485, 665, 805, 710, 6051, 737, 27282, 538, 20258, 4887, 281, 634, 3390, 540, 954, 11357, 915, 13260, 269, 12713, 577, 574, 4437, 19398, 2920, 320, 476, 13970, 278, 281, 476, 1240, 1700, 2918, 267, 476, 1220, 271, 563, 2764, 269, 590, 8543, 334, 918, 267, 594, 330, 1092, 570, 267, 28635, 2967, 670, 267, 594, 9774, 15676, 918, 269, 6356, 540, 3742, 454, 516, 11734, 593, 29296, 9063, 1739, 4887, 19432, 267, 513, 476, 4029, 303, 5336, 11965, 1353, 269, 7788, 4284, 2723, 19848, 565, 476, 1321, 281, 476, 15876, 1700, 9692, 267, 476, 1960, 274, 563, 3066, 269, 6178, 528, 850, 808, 293, 267, 16016, 8712, 595, 267, 7066, 3387, 26792, 30838, 269, 634, 2360, 540, 3742, 454, 516, 11734, 593, 2110, 3856, 267, 1164, 8515, 1379, 3977, 269, 2052, 808, 10331, 4284, 2723, 476, 1240, 281, 476, 4029, 1700, 5655, 267, 476, 1960, 274, 563, 1789, 269, 1975, 27247, 631, 267, 21674, 667, 267, 29861, 5459, 645, 267, 6153, 2006, 595, 269, 4284, 8344, 543, 10894, 6114, 540, 7368, 1606, 2745, 2238, 281, 16930, 547, 2361, 2861, 2319, 5026, 269, 11846, 2405, 476, 3374, 281, 476, 9083, 276, 1700, 10441, 275, 267, 476, 1220, 276, 563, 4029, 269, 1975, 27247, 631, 267, 29861, 5459, 645, 267, 6153, 2006, 595, 267, 30605, 1260, 2041, 645, 267, 21674, 667, 269, 13437, 543, 10307, 538, 7368, 838, 11781, 3635, 281, 6356, 540, 6051, 8515, 269, 20195, 808, 10331, 4284, 2723, 476, 9818, 281, 476, 276, 3393, 1700, 4649, 273, 267, 476, 1220, 279, 563, 3953, 269, 1975, 328, 19907, 667, 298, 267, 717, 9529, 19431, 681, 267, 4446, 534, 21096, 267, 670, 787, 333, 1171, 545, 345, 918, 267, 15576, 345, 12676, 269, 12186, 540, 3742, 454, 516, 11734, 593, 960, 5340, 1282, 17626, 24101, 1090, 1314, 2711, 3635, 4255, 269, 2271, 808, 11846, 2405, 476, 1839, 281, 476, 11820, 1700, 14625, 267, 476, 1220, 275, 563, 3451, 269, 1975, 584, 3118, 715, 267, 13643, 7537, 269, 32587, 622, 4152, 269, 769, 281, 11846, 543, 11644, 25665, 13281, 13832, 269, 15604, 661, 8160, 1421, 645, 668, 2917, 19113, 1421, 8585, 1356, 8946, 1421, 1196, 269, 5507, 543, 1715, 3840, 281, 30296, 267, 476, 1220, 278, 269, 533, 269, 12208, 1700, 15686, 563, 4097, 269, 28635, 1695, 20076, 570, 267, 631, 12011, 600, 9369, 962, 269, 21478, 540, 1769, 2168, 2534, 593, 13487, 6114, 1282, 6051, 689, 3635, 538, 3425, 269, 20195, 808, 10331, 4284, 2723, 20431, 4284, 2723, 476, 6507, 281, 476, 25134, 1700, 25313, 267, 476, 1960, 279, 563, 3374, 269, 29110, 31990, 529, 17985, 267, 667, 3716, 320, 10226, 267, 15480, 332, 752, 573, 529, 9501, 269, 21478, 540, 1114, 1964, 11996, 1282, 3742, 454, 516, 11734, 593, 7368, 838, 11781, 10977, 2773, 269, 20195, 808, 10331, 4284, 2723, 476, 11152, 281, 476, 7597, 275, 1700, 10384, 267, 476, 1220, 276, 563, 3607, 269, 29110, 31990, 529, 17985, 267, 3212, 344, 516, 1962, 2317, 14330, 267, 700, 752, 3912, 670, 298, 267, 19607, 650, 19294, 269, 12186, 540, 3742, 454, 516, 11734, 593, 2773, 1282, 7368, 1606, 2745, 10977, 269, 808, 11846, 2233, 476, 2918, 281, 476, 14983, 278, 1700, 5611, 276, 267, 476, 1220, 279, 563, 4391, 269, 29110, 31990, 529, 17985, 267, 3911, 559, 3930, 594, 267, 32181, 323, 534, 529, 717, 290, 267, 631, 822, 5090, 529, 717, 267, 15480, 332, 752, 573, 529, 9501, 269, 6356, 540, 1114, 14556, 885, 540, 3742, 454, 516, 11734, 593, 838, 11781, 10977, 2773, 269, 10331, 4284, 2723, 25326, 337, 5450, 629, 476, 4029, 281, 476, 3583, 280, 1700, 278, 1626, 267, 476, 1220, 277, 563, 4343, 269, 654, 6856, 4565, 611, 670, 267, 5696, 583, 517, 808, 291, 267, 700, 2335, 1120, 1066, 808, 269, 634, 1198, 540, 29296, 9063, 593, 4579, 850, 1599, 540, 16856, 267, 2582, 26939, 540, 10856, 4887, 23229, 609, 2810, 2837, 269, 808, 4284, 2723, 476, 4335, 27456, 339, 269, 476, 272, 2567, 476, 4350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12891, 598, 1027, 539, 14710, 1247, 14178, 1010, 1688, 2509, 1325, 664, 269, 834, 23558, 267, 1325, 664, 269, 1411, 5963, 964, 5703, 547, 3094, 1701, 9282, 25922, 267, 12891, 6444, 602, 9561, 4769, 1405, 27298, 1010, 18517, 282, 3079, 267, 621, 23185, 1864, 547, 3136, 20678, 585, 30493, 780, 2704, 664, 7608, 12891, 781, 23972, 1178, 19290, 269, 834, 14188, 596, 267, 12891, 269, 2659, 6612, 543, 16177, 616, 7907, 1022, 21541, 518, 1131, 679, 11803, 269, 5213, 1405, 2479, 1577, 713, 2530, 25339, 596, 1107, 1832, 8757, 585, 707, 9909, 3010, 8893, 4121, 281, 4634, 950, 5185, 609, 14488, 610, 5821, 267, 4509, 11419, 543, 21548, 2636, 721, 547, 1332, 689, 938, 2833, 2864, 982, 13151, 17741, 547, 21817, 269, 1635, 14344, 1776, 1268, 781, 9342, 543, 10781, 267, 649, 1628, 9434, 4296, 1759, 593, 8994, 2463, 543, 1620, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 3963, 1705, 12891, 6336, 519, 17833, 657, 21597, 2496, 4692, 12891, 918, 21255, 636, 3094, 519, 700, 26619, 846, 10985, 630, 298, 531, 657, 13477, 264, 2496, 8923, 2995, 803, 952, 1346, 2055, 616, 519, 1482, 563, 302, 6877, 616, 912, 263, 296, 264, 1100, 454, 263, 2862, 264, 9811, 454, 2026, 327, 4503, 519, 17833, 657, 13477, 1317, 4352, 646, 543, 1010, 623, 758, 2946, 3000, 6836, 741, 1655, 267, 789, 941, 17204, 676, 513, 6793, 26519, 3957, 1325, 664, 543, 1010, 3532, 623, 758, 2946, 3000, 269, 898, 729, 513, 1360, 2673, 6370, 267, 855, 12891, 7948, 1405, 3094, 713, 942, 269, 2334, 781, 15502, 267, 1317, 3006, 1256, 2178, 543, 16805, 1004, 1522, 711, 3094, 1169, 942, 780, 763, 1079, 2055, 596, 4280, 616, 513, 2370, 1114, 269, 634, 1101, 2243, 12134, 1946, 12891, 4503, 519, 17833, 657, 13477, 267, 799, 594, 6045, 1657, 269, 634, 2034, 2243, 12134, 952, 12891, 666, 3094, 519, 700, 26619, 846, 10985, 630, 298, 531, 657, 13477, 1040, 634, 2626, 568, 602, 12891, 3112, 3094, 519, 21597, 1631, 1317, 621, 2907, 5949, 267, 543, 646, 4503, 269, 1809, 646, 666, 2141, 2119, 543, 3094, 824, 682, 8046, 538, 824, 4525, 607, 646, 5170, 1010, 3460, 2439, 3383, 519, 2626, 547, 519, 2063, 2243, 1131, 581, 630, 296, 264, 1100, 267, 1317, 519, 2055, 616, 513, 2370, 1114, 835, 12134, 513, 2601, 1946, 646, 4172, 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, 6092, 5149, 281, 20709, 262, 3281, 18730, 6481, 11588, 692, 5331, 596, 2811, 2324, 693, 707, 5172, 4672, 8645, 6300, 1310, 1153, 269, 2290, 1554, 267, 1247, 1085, 334, 14563, 4672, 8645, 267, 596, 18417, 6749, 513, 5230, 19943, 593, 707, 3723, 269, 744, 1276, 256, 2659, 3723, 2731, 9292, 1206, 267, 543, 596, 1589, 621, 1522, 581, 7745, 269, 1809, 972, 781, 1100, 1259, 596, 666, 2628, 585, 513, 4387, 3643, 543, 6148, 1256, 1535, 17530, 609, 1175, 707, 27108, 2724, 269, 1548, 798, 596, 798, 2496, 11039, 267, 952, 596, 2811, 6964, 693, 713, 4672, 8645, 6300, 630, 528, 1022, 824, 1870, 1070, 972, 781, 1945, 1572, 20709, 262, 3281, 18730, 6142, 602, 2337, 1491, 1416, 540, 596, 950, 596, 1205, 10413, 593, 519, 2816, 269, 901, 1826, 540, 6142, 2488, 2564, 2640, 547, 3382, 1919, 899, 4387, 11564, 267, 6413, 13978, 267, 2168, 3797, 267, 4915, 267, 543, 3937, 630, 3697, 1835, 583, 2583, 264, 952, 2877, 269, 1656, 7058, 1018, 286, 898, 3085, 1405, 1942, 596, 4376, 1107, 707, 16108, 17188, 585, 621, 2439, 3086, 1577, 781, 4685, 883, 875, 20709, 262, 3281, 18730, 6481, 11588, 960, 1384, 272, 269, 1879, 596, 1205, 13676, 693, 960, 267, 2995, 707, 28643, 1318, 2476, 269, 1358, 786, 3391, 596, 998, 519, 1184, 540, 3478, 2564, 948, 4988, 676, 20709, 262, 3281, 18730, 6142, 269, 1403, 707, 5945, 568, 4049, 267, 2576, 949, 1289, 6595, 2533, 5612, 563, 273, 269, 1411, 723, 519, 1318, 547, 3442, 707, 1378, 3782, 8502, 267, 971, 607, 513, 4387, 610, 16758, 269, 1717, 267, 930, 12820, 949, 2154, 596, 547, 1294, 513, 1808, 4387, 1101, 269, 5269, 2386, 596, 1174, 707, 2754, 781, 4507, 3823, 2564, 5079, 563, 274, 269, 4495, 596, 4309, 2126, 267, 1217, 1312, 707, 16108, 543, 519, 3782, 8502, 602, 596, 1616, 547, 946, 20709, 262, 3281, 18730, 6142, 585, 3795, 269, 12315, 873, 782, 4143, 1344, 827, 707, 2816, 543, 519, 10071, 563, 275, 269, 30850, 267, 707, 16108, 781, 6142, 15298, 786, 2689, 707, 3409, 269, 1306, 1279, 607, 789, 29343, 621, 267, 596, 4465, 1405, 991, 547, 5855, 827, 12014, 533, 4979, 909, 282, 20709, 262, 3281, 18730, 6227, 10257, 3790, 2404, 609, 707, 6051, 563, 276, 269, 5457, 267, 20709, 262, 3281, 18730, 849, 14014, 707, 4747, 1282, 713, 942, 269, 2755, 23232, 267, 596, 1223, 581, 14718, 585, 9864, 13230, 10682, 865, 602, 596, 1810, 1405, 2887, 3297, 20019, 1813, 547, 14406, 10593, 563, 277, 269, 5901, 5638, 540, 3388, 910, 7189, 262, 20499, 267, 6527, 11311, 267, 5574, 4607, 267, 543, 7391, 1185, 609, 707, 16108, 543, 1202, 25033, 269, 6153, 12319, 5849, 5347, 2792, 1063, 3238, 6105, 543, 7028, 707, 2013, 952, 2055, 8451, 2663, 563, 278, 269, 17776, 547, 960, 2899, 23498, 676, 707, 4387, 269, 6884, 267, 22581, 949, 581, 1500, 585, 14402, 11645, 2394, 596, 4628, 12115, 563, 279, 269, 14936, 267, 2141, 1246, 3106, 4808, 3177, 676, 707, 9036, 269, 10644, 4422, 513, 1279, 1259, 4724, 9319, 7063, 15587, 2439, 3383, 1985, 942, 596, 2972, 513, 8949, 4672, 8645, 13409, 267, 3314, 602, 3743, 4213, 723, 3800, 538, 1747, 547, 1489, 5520, 945, 1522, 7237, 6397, 10913, 269, 4197, 20709, 262, 3281, 18730, 6481, 11588, 16877, 721, 547, 6330, 891, 3871, 18390, 543, 5150, 938, 8171, 693, 960, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 3985, 15024, 616, 2556, 547, 4368, 1082, 540, 519, 7293, 2152, 4867, 6849, 4600, 267, 855, 1533, 543, 2199, 1876, 16234, 666, 1404, 513, 1713, 1909, 1932, 269, 1635, 5885, 4600, 685, 2924, 267, 14304, 20038, 585, 4600, 538, 1875, 10177, 6463, 7694, 3889, 267, 4758, 4600, 513, 5639, 538, 4259, 2816, 4441, 267, 543, 5473, 11832, 3906, 538, 3646, 547, 2087, 2866, 267, 2640, 11865, 267, 543, 4441, 11268, 267, 1533, 543, 2199, 14519, 666, 7794, 4600, 685, 1379, 543, 4786, 513, 1259, 4464, 585, 2104, 5313, 3609, 15024, 563, 1607, 3390, 5618, 3877, 476, 1556, 2994, 602, 1533, 543, 2199, 8387, 666, 2936, 538, 476, 1708, 272, 547, 25580, 1379, 543, 6318, 2816, 2298, 585, 2324, 1004, 563, 272, 269, 16237, 6533, 1857, 5823, 18787, 454, 30025, 8041, 30147, 616, 811, 28653, 538, 741, 2702, 547, 2709, 8013, 13180, 15004, 1765, 21865, 1265, 621, 2352, 547, 15313, 543, 11677, 5234, 267, 855, 2178, 1857, 5823, 18787, 666, 948, 5520, 20476, 664, 585, 1920, 23418, 15659, 13848, 543, 2640, 543, 9886, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13480, 619, 262, 3281, 18730, 6481, 11588, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 15928, 1315, 2657, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 14464, 11106, 543, 4706, 8177, 593, 2974, 692, 7072, 912, 5970, 596, 2479, 4862, 540, 5841, 4987, 267, 610, 3642, 286, 898, 1522, 3280, 899, 1945, 856, 540, 513, 2257, 5708, 7260, 267, 855, 621, 781, 2965, 782, 1472, 721, 256, 3642, 568, 513, 1826, 540, 2029, 602, 2636, 6191, 547, 1451, 267, 1589, 267, 543, 1256, 1118, 3664, 1175, 899, 3425, 798, 269, 1809, 607, 3579, 607, 602, 4992, 267, 972, 616, 849, 930, 1761, 12178, 2404, 609, 3642, 602, 649, 991, 547, 581, 3222, 540, 780, 4089, 476, 272, 281, 1548, 568, 14464, 11106, 630, 9590, 25145, 5331, 952, 707, 9162, 1223, 2911, 1394, 547, 596, 543, 1174, 1018, 596, 941, 6031, 269, 2107, 952, 707, 3381, 3756, 1223, 4188, 741, 7411, 1377, 1759, 593, 875, 1134, 596, 941, 4730, 269, 2334, 781, 1018, 3642, 666, 798, 256, 26243, 267, 3642, 568, 513, 1826, 540, 2780, 1982, 602, 666, 834, 16753, 257, 1007, 1919, 543, 2087, 922, 2773, 936, 942, 269, 901, 1797, 602, 3079, 540, 1739, 7453, 3652, 1305, 676, 513, 1480, 27732, 267, 3642, 1949, 666, 3082, 543, 1689, 1759, 593, 519, 1344, 789, 4309, 689, 519, 1158, 1472, 873, 780, 2690, 1383, 267, 1514, 2923, 5867, 946, 3642, 6620, 547, 2303, 9708, 543, 18537, 602, 596, 1522, 1265, 4277, 269, 1452, 6620, 5659, 707, 2623, 593, 519, 3760, 1107, 971, 607, 799, 3817, 596, 1246, 267, 799, 6402, 596, 4945, 593, 267, 543, 1018, 2186, 540, 1543, 596, 2022, 1107, 547, 1711, 513, 10531, 1995, 585, 596, 269, 2755, 713, 666, 581, 2731, 5363, 543, 10375, 267, 621, 849, 12651, 930, 1271, 2055, 827, 7834, 543, 3354, 780, 4089, 476, 273, 281, 1215, 6496, 3642, 18748, 3776, 22032, 888, 4407, 3642, 666, 3142, 1082, 2640, 267, 971, 607, 4824, 4398, 543, 6111, 267, 621, 666, 849, 10460, 4220, 547, 938, 3106, 543, 1134, 5630, 269, 1280, 3236, 267, 1582, 28391, 6517, 7048, 8185, 593, 3642, 547, 6330, 9897, 543, 3713, 9465, 269, 1717, 267, 952, 1945, 4422, 4636, 609, 519, 3642, 1062, 267, 621, 1223, 5732, 2014, 10913, 610, 7063, 269, 6684, 267, 11132, 6284, 3301, 1031, 538, 13178, 12514, 666, 948, 1832, 721, 2922, 267, 855, 621, 666, 849, 581, 3765, 4310, 547, 28117, 938, 7834, 610, 3077, 1978, 2516, 540, 1004, 15490, 569, 780, 5194, 6161, 609, 3642, 568, 519, 1764, 621, 949, 723, 593, 7694, 269, 1306, 3642, 3587, 5051, 10427, 267, 621, 949, 581, 2111, 547, 1685, 4247, 12926, 2944, 676, 3425, 267, 3056, 547, 2816, 12761, 538, 1978, 6080, 269, 3958, 267, 972, 616, 4145, 827, 5690, 545, 9186, 267, 1141, 3642, 1949, 949, 28511, 4540, 28639, 543, 11475, 267, 4611, 538, 21376, 2126, 540, 2043, 610, 2516, 780, 4089, 476, 274, 281, 27986, 3776, 2383, 689, 15783, 24093, 454, 3383, 267, 1018, 666, 649, 798, 547, 2149, 6000, 689, 519, 1761, 17498, 1938, 540, 3642, 286, 2290, 1883, 1900, 568, 2069, 269, 1635, 1565, 827, 875, 3642, 1568, 543, 1620, 922, 7687, 267, 649, 666, 1831, 1732, 9280, 547, 5431, 950, 621, 781, 1373, 1031, 19100, 8957, 3352, 22529, 4601, 269, 1284, 666, 849, 12167, 585, 4507, 543, 6042, 602, 2327, 3642, 568, 2919, 543, 18611, 31719, 267, 9425, 267, 543, 12001, 569, 780, 13010, 267, 649, 1590, 3251, 21713, 827, 7863, 938, 7834, 543, 3354, 2228, 269, 9861, 18762, 827, 4687, 6213, 1344, 543, 1210, 2178, 18538, 666, 979, 513, 1279, 1259, 538, 7303, 13311, 1569, 547, 938, 2123, 1239, 269, 7053, 267, 5885, 1382, 883, 3743, 3642, 1646, 543, 5009, 5683, 3096, 540, 2029, 666, 948, 3337, 513, 17321, 2104, 585, 3025, 3238, 780, 6962, 912, 25369, 4987, 3091, 6909, 3255, 585, 5647, 543, 3356, 269, 3245, 1818, 4948, 4247, 4443, 547, 6061, 1950, 2042, 267, 3642, 6585, 1390, 9153, 585, 5355, 938, 2729, 269, 1717, 267, 607, 609, 1022, 3532, 1907, 267, 621, 2501, 609, 7915, 4220, 602, 649, 1590, 2232, 30082, 269, 1635, 18997, 6000, 543, 1866, 827, 3642, 543, 14957, 585, 3743, 946, 267, 649, 666, 10244, 519, 2407, 1761, 540, 713, 14262, 2029, 1247, 10893, 2800, 2059, 519, 1259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20524, 811, 689, 5274, 640, 2136, 3767, 910, 27118, 12756, 631, 8811, 531, 576, 320, 267, 11022, 267, 12854, 454, 24426, 6350, 29807, 320, 781, 16572, 3726, 689, 476, 1001, 280, 910, 20056, 550, 12834, 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 ]
[ 9886, 5351, 26461, 485, 0, 17359, 12594, 28483, 454, 763, 4939, 11545, 10025, 630, 291, 309, 264, 6645, 596, 875, 1454, 513, 8770, 538, 513, 7674, 540, 1426, 8309, 547, 513, 3232, 2732, 269, 476, 273, 267, 1822, 8477, 513, 1554, 568, 1031, 585, 2489, 6484, 5796, 563, 8794, 9949, 11545, 18880, 689, 15111, 563, 19547, 9229, 715, 22021, 6176, 454, 9558, 1261, 343, 1228, 322, 476, 280, 2037, 18757, 18729, 454, 3519, 24503, 730, 6931, 1961, 545, 3600, 1749, 630, 12710, 2026, 994, 2704, 6495, 6931, 18036, 545, 18729, 630, 3201, 288, 994, 294, 10397, 6931, 18036, 545, 18729, 630, 294, 6369, 994, 292, 545, 657, 27074, 523, 18757, 18729, 630, 4953, 292, 994, 291, 8811, 27622, 717, 10397, 6931, 18036, 545, 18729, 630, 291, 294, 6369, 994, 292, 545, 657, 520, 25523, 523, 18757, 18729, 630, 4953, 288, 994, 292, 545, 657, 777, 31980, 523, 18757, 18729, 630, 292, 5183, 994, 295, 2940, 545, 657, 777, 31980, 523, 18757, 18729, 630, 295, 5183, 994, 291, 665, 657, 777, 550, 8457, 545, 18729, 630, 291, 5183, 994, 291, 665, 6242, 28411, 8457, 545, 18729, 630, 291, 11190, 994, 5058, 305, 3633, 296, 19006, 281, 6167, 25770, 21815, 3633, 13673, 30278, 295, 3633, 654, 4047, 2969, 18919, 21788, 630, 300, 3201, 307, 3633, 645, 2752, 4041, 312, 18919, 21788, 267, 22078, 3722, 2562, 267, 681, 3633, 10813, 3633, 16843, 2177, 267, 8946, 296, 4456, 12114, 267, 681, 296, 19447, 293, 6369, 309, 2562, 267, 674, 5357, 2975, 8028, 2839, 267, 32412, 3036, 289, 2975, 8028, 2839, 1070, 654, 2969, 2207, 267, 590, 21788, 291, 5495, 21203, 5254, 2752, 9898, 630, 288, 18904, 7838, 3201, 962, 292, 17129, 1070, 306, 3201, 307, 563, 301, 22021, 17796, 722, 350, 454, 268, 20056, 550, 2707, 540, 774, 328, 3133, 454, 587, 350, 910, 1306, 3989, 676, 2657, 4516, 4808, 563, 301, 9173, 12700, 11905, 281, 22340, 454, 3682, 1636, 687, 540, 5839, 4592, 454, 268, 3525, 4733, 19871, 454, 268, 20023, 15310, 454, 268, 4400, 2961, 2125, 454, 15933, 338, 609, 2147, 12550, 12632, 912, 3682, 12803, 540, 19871, 538, 30014, 454, 29973, 589, 2381, 334, 3600, 1749, 454, 29973, 11254, 7408, 616, 2565, 585, 2679, 3940, 269, 1280, 811, 1344, 267, 1294, 519, 9504, 2985, 593, 873, 563, 3682, 12888, 10866, 24143, 281, 4939, 31334, 454, 21918, 1746, 589, 2381, 334, 18729, 912, 268, 2368, 3536, 602, 616, 513, 1434, 2707, 540, 1331, 4586, 1911, 326, 540, 590, 712, 323, 965, 17029, 3149, 3568, 476, 280, 269, 274, 326, 540, 3940, 267, 799, 568, 827, 519, 1482, 607, 454, 271, 269, 274, 9269, 28244, 267, 610, 454, 271, 269, 278, 11680, 630, 8687, 326, 264, 540, 3109, 10365, 563, 3682, 12803, 540, 2961, 8510, 6233, 538, 30014, 454, 293, 3555, 540, 2961, 2125, 676, 7392, 454, 265, 4033, 2882, 23731, 657, 30828, 543, 824, 30713, 30828, 563, 3682, 12803, 540, 15310, 538, 30014, 454, 15648, 9736, 476, 1708, 274, 18370, 2181, 12594, 5549, 269, 0, 18933, 26677, 1063, 19838, 12510, 878, 543, 782, 12510, 878, 10974, 454, 2304, 5967, 609, 3220, 12448, 12138, 267, 11785, 2160, 267, 5342, 676, 5754, 1168, 517, 13690, 454, 2791, 949, 581, 2111, 547, 4605, 538, 707, 2212, 513, 6177, 779, 3750, 2070, 540, 707, 19887, 543, 519, 14282, 17365, 4558, 267, 855, 875, 1281, 519, 6467, 2049, 1063, 6616, 1141, 1945, 568, 3448, 547, 707, 2990, 630, 1122, 12510, 337, 1143, 264, 543, 2921, 2962, 547, 6330, 547, 6753, 1759, 593, 606, 4835, 4786, 630, 718, 12510, 337, 1143, 25145, 1103, 513, 2487, 17335, 290, 12054, 14373, 267, 3220, 12448, 12138, 3838, 1010, 1382, 593, 519, 1909, 540, 519, 2634, 779, 7681, 9729, 1182, 538, 14759, 1063, 782, 12510, 878, 543, 19838, 12510, 878, 11282, 1949, 269, 769, 713, 1627, 26031, 267, 646, 11828, 875, 646, 3893, 5461, 538, 15388, 713, 1888, 267, 930, 540, 1010, 1883, 4681, 267, 543, 519, 1985, 3268, 563, 1692, 616, 19838, 12510, 878, 543, 782, 12510, 878, 5380, 3989, 888, 2304, 19838, 12510, 878, 5133, 568, 1141, 1919, 616, 3448, 547, 596, 269, 1403, 596, 2461, 7555, 538, 513, 4055, 267, 543, 513, 11381, 568, 547, 707, 1318, 267, 585, 1383, 267, 543, 596, 1847, 547, 513, 1114, 5544, 538, 519, 4055, 543, 602, 1482, 11381, 568, 547, 707, 1318, 267, 1287, 621, 814, 519, 1482, 19838, 12510, 878, 2990, 3448, 547, 596, 693, 1312, 6753, 563, 2304, 782, 12510, 878, 11282, 1062, 568, 952, 596, 2461, 538, 519, 4055, 543, 519, 11381, 568, 538, 513, 1880, 4087, 267, 621, 779, 519, 3845, 543, 4287, 547, 602, 11381, 3448, 547, 3388, 3116, 538, 519, 4055, 269, 1924, 621, 779, 711, 12979, 1819, 547, 596, 563, 763, 14724, 1259, 547, 1589, 827, 621, 568, 602, 519, 19838, 12510, 878, 2070, 568, 1018, 596, 4867, 1294, 267, 543, 519, 782, 12510, 878, 2070, 14340, 689, 707, 2702, 547, 1589, 827, 1018, 596, 8910, 1294, 950, 596, 2461, 538, 1776, 1747, 538, 519, 1158, 563, 1432, 1101, 3893, 596, 5461, 538, 15388, 8901, 7004, 888, 296, 3323, 676, 4974, 782, 12510, 878, 8901, 11269, 971, 607, 1747, 2281, 267, 543, 1287, 2968, 5461, 538, 875, 891, 32615, 4610, 616, 9112, 543, 12979, 1819, 538, 513, 1259, 602, 2306, 873, 946, 762, 269, 3733, 9164, 543, 594, 5555, 2968, 5461, 538, 875, 9729, 673, 3889, 602, 616, 6251, 547, 10444, 4393, 12535, 1522, 581, 10128, 19838, 12510, 878, 1344, 543, 1119, 532, 621, 547, 782, 12510, 878, 2230, 538, 930, 1259, 269, 769, 513, 1259, 267, 621, 729, 4358, 689, 782, 12510, 878, 543, 1287, 3001, 856, 883, 7487, 875, 10444, 1344, 568, 7471, 563, 1432, 814, 2907, 1044, 1634, 827, 519, 1259, 519, 2634, 25457, 8901, 14759, 547, 5512, 12445, 888, 2467, 1131, 2693, 581, 930, 7521, 827, 713, 865, 594, 3580, 1175, 4063, 513, 1906, 1919, 602, 594, 1131, 2161, 649, 917, 543, 602, 594, 1589, 827, 1419, 269, 3689, 267, 594, 3494, 1034, 540, 1018, 649, 1174, 827, 8901, 14759, 649, 4121, 676, 6313, 9300, 574, 19318, 19326, 269, 2368, 540, 713, 960, 9247, 12116, 875, 519, 2990, 540, 606, 1843, 538, 519, 3544, 1158, 630, 324, 3052, 269, 1426, 264, 568, 9571, 676, 707, 8596, 630, 324, 3052, 269, 707, 22100, 264, 543, 9927, 883, 513, 3126, 540, 5179, 12981, 602, 5512, 707, 1198, 832, 630, 324, 3052, 269, 707, 1688, 264, 547, 13861, 1767, 1843, 630, 324, 3052, 269, 3548, 519, 1426, 1916, 2414, 3533, 17412, 1152, 851, 540, 5756, 540, 6909, 960, 538, 713, 6389, 649, 4076, 5462, 602, 476, 272, 264, 7681, 9729, 1182, 616, 3238, 538, 14759, 543, 476, 273, 264, 11409, 538, 891, 4525, 8858, 3818, 5498, 937, 2032, 13296, 789, 616, 6213, 547, 519, 2990, 540, 3615, 609, 2463, 547, 8596, 543, 1198, 832, 8195, 269, 901, 8545, 4466, 4667, 1939, 14260, 2565, 585, 8901, 14759, 563, 4415, 2463, 547, 12445, 513, 2101, 3364, 649, 917, 568, 602, 19838, 12510, 878, 10444, 1344, 568, 11368, 883, 938, 6740, 1702, 827, 782, 12510, 878, 2230, 269, 1280, 3236, 267, 649, 917, 602, 10444, 21056, 666, 1110, 3634, 1141, 782, 12510, 878, 8901, 32615, 4610, 616, 17479, 269, 769, 6901, 1141, 519, 3662, 8255, 1472, 538, 606, 1604, 543, 513, 3308, 29692, 568, 6410, 1107, 1287, 267, 519, 782, 12510, 878, 4786, 7575, 8167, 2299, 609, 621, 269, 1284, 849, 917, 602, 782, 12510, 878, 8901, 7851, 616, 9168, 936, 1995, 538, 606, 1604, 607, 649, 11753, 811, 543, 811, 19838, 12510, 29182, 3491, 947, 539, 13865, 1344, 269, 1924, 267, 649, 917, 602, 606, 5610, 1063, 19838, 12510, 878, 543, 782, 12510, 878, 11282, 1949, 568, 8345, 563, 296, 1589, 4440, 519, 1034, 2565, 4062, 540, 519, 8901, 7004, 11015, 3322, 2212, 4287, 11409, 267, 799, 2995, 596, 1141, 596, 2461, 20218, 538, 782, 12510, 878, 2230, 269, 10361, 4287, 11409, 2995, 596, 950, 596, 2461, 6849, 519, 31641, 18975, 267, 543, 585, 1383, 267, 875, 596, 1058, 1689, 707, 10066, 952, 596, 616, 1210, 602, 19506, 547, 6330, 689, 519, 17335, 290, 547, 3204, 550, 779, 8957, 5754, 1372, 5244, 269, 11153, 3515, 540, 2963, 5815, 602, 16070, 6991, 27573, 676, 22514, 24212, 8219, 267, 799, 568, 606, 19838, 12510, 878, 7613, 1107, 875, 596, 2490, 1107, 666, 581, 9927, 883, 782, 12510, 878, 4287, 267, 799, 568, 519, 4287, 540, 1919, 3448, 547, 519, 3544, 1158, 269, 594, 1589, 713, 2631, 540, 782, 12510, 878, 4287, 568, 519, 5748, 2390, 799, 782, 824, 782, 12510, 878, 8901, 544, 1952, 902, 9114, 563, 1692, 1281, 606, 4835, 4786, 6438, 2203, 3391, 3527, 888, 2171, 2461, 1869, 3843, 547, 4137, 602, 856, 269, 1284, 917, 602, 596, 666, 2673, 707, 4064, 543, 4605, 513, 6177, 779, 3750, 2070, 540, 707, 19887, 269, 1411, 666, 849, 24680, 856, 1256, 2417, 543, 4605, 513, 6177, 779, 3750, 2070, 540, 707, 19887, 543, 519, 17365, 4558, 1524, 519, 8265, 267, 543, 1141, 789, 616, 3448, 547, 1142, 824, 269, 2334, 568, 707, 4835, 782, 12510, 878, 2203, 540, 1141, 707, 19887, 568, 543, 1141, 596, 1205, 707, 14770, 625, 269, 1215, 649, 1491, 602, 1344, 602, 649, 1832, 538, 938, 8186, 585, 513, 1279, 942, 543, 2981, 621, 883, 606, 2962, 1544, 568, 711, 1134, 6956, 267, 855, 621, 4440, 3322, 519, 24794, 680, 523, 658, 16794, 630, 305, 9915, 1916, 10468, 584, 976, 538, 3731, 24794, 680, 523, 658, 16794, 630, 11965, 290, 264, 24638, 569, 31002, 593, 519, 2451, 267, 11409, 538, 824, 3308, 543, 533, 926, 13926, 4525, 602, 1788, 547, 681, 17092, 31002, 538, 1769, 15454, 538, 519, 1647, 543, 593, 519, 1318, 563, 1692, 1281, 707, 1382, 2263, 519, 1909, 540, 7681, 9729, 1182, 538, 8901, 7004, 888, 2171, 7747, 8849, 2534, 1247, 2831, 1685, 12445, 4247, 269, 901, 1450, 721, 547, 1413, 693, 875, 19838, 12510, 878, 543, 782, 12510, 878, 1344, 616, 5916, 269, 3245, 972, 267, 649, 5635, 1346, 6114, 547, 7811, 543, 12985, 960, 602, 568, 2966, 547, 2965, 12337, 519, 7004, 269, 1284, 1413, 585, 875, 1018, 649, 1294, 538, 519, 2634, 13292, 891, 6310, 3631, 563, 3963, 1705, 596, 3442, 547, 1353, 32456, 267, 610, 13287, 267, 7180, 888, 296, 1589, 621, 729, 1644, 547, 513, 2603, 540, 1018, 5526, 547, 581, 8345, 1934, 693, 519, 17335, 290, 267, 799, 568, 547, 9772, 513, 2048, 2041, 6409, 21831, 568, 2731, 1271, 685, 1935, 269, 594, 5433, 899, 649, 2877, 6901, 602, 941, 811, 2802, 10999, 4570, 269, 1284, 917, 602, 14148, 8858, 31743, 19326, 689, 2025, 960, 267, 1141, 789, 3576, 14148, 543, 2322, 873, 538, 2462, 9205, 5054, 267, 543, 1175, 4767, 873, 269, 1358, 1685, 31743, 19326, 1107, 789, 1131, 1246, 519, 3640, 267, 610, 4497, 538, 31743, 538, 519, 2796, 540, 20282, 610, 538, 32456, 269, 594, 4941, 1945, 602, 729, 12445, 2861, 267, 855, 849, 1185, 930, 2609, 602, 941, 811, 1950, 982, 6972, 1472, 2832, 8393, 4189, 4829, 17787, 630, 1492, 3119, 1259, 649, 8007, 938, 14148, 538, 519, 8047, 1916, 1432, 723, 1044, 930, 540, 707, 1883, 4681, 865, 2484, 888, 763, 1292, 3364, 602, 649, 723, 3254, 609, 2463, 547, 519, 8901, 7004, 568, 602, 681, 9915, 6114, 616, 693, 2547, 6190, 547, 1199, 5573, 513, 7004, 269, 1284, 10093, 1406, 3254, 602, 1757, 958, 2943, 267, 799, 594, 1589, 568, 513, 2731, 2182, 2243, 269, 2060, 2463, 547, 519, 13287, 7180, 267, 649, 723, 3254, 602, 8849, 11387, 602, 723, 2534, 3270, 267, 899, 519, 3283, 602, 649, 7747, 538, 681, 9915, 267, 723, 4241, 2242, 547, 741, 20590, 1317, 540, 811, 1950, 19326, 269, 1548, 649, 849, 1294, 1282, 13287, 568, 602, 14148, 1685, 1950, 16762, 19326, 269, 1452, 16762, 19326, 7048, 593, 6024, 19838, 12510, 878, 22433, 12510, 878, 8901, 14759, 543, 594, 1589, 713, 4305, 666, 5732, 4434, 938, 1620, 540, 713, 1184, 269, 594, 1589, 602, 568, 606, 3078, 4434, 689, 519, 3308, 13287, 960, 563, 1103, 2474, 540, 13321, 689, 19838, 12510, 878, 547, 782, 12510, 878, 10974, 267, 610, 13030, 17930, 267, 1018, 616, 930, 540, 519, 12985, 2679, 7161, 602, 616, 3238, 888, 1432, 519, 3631, 3589, 568, 602, 972, 786, 581, 4830, 5095, 540, 11409, 602, 616, 6213, 547, 19838, 12510, 878, 610, 782, 12510, 878, 2230, 269, 769, 1840, 267, 891, 5095, 27721, 5196, 824, 11409, 1369, 519, 5547, 543, 519, 11409, 602, 4309, 891, 4780, 7217, 11378 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1460, 31177, 4827, 528, 4368, 269, 2107, 321, 14121, 4148, 15494, 454, 268, 28631, 15616, 18132, 528, 7917, 661, 321, 9934, 9823, 4827, 542, 30411, 2539, 1394, 1928, 2126, 630, 24062, 264, 476, 4391, 278, 268, 11260, 276, 28631, 15616, 18132, 528, 7917, 661, 321, 9934, 9823, 670, 1716, 7007, 5494, 2126, 13722, 1394, 1928, 11285, 4827, 542, 30411, 2539, 1394, 1928, 2126, 589, 268, 9617, 5025, 5174, 548, 15616, 18132, 545, 4741, 30532, 4480, 454, 268, 1215, 547, 1684, 513, 700, 8632, 3026, 1188, 21253, 542, 853, 4958, 577, 7388, 1154, 560, 4958, 4221, 5751, 666, 581, 6225, 538, 1082, 18125, 540, 8516, 269, 1358, 666, 581, 1031, 547, 3138, 4923, 519, 6091, 585, 5026, 2238, 610, 547, 6001, 6091, 1310, 606, 7920, 15904, 269, 769, 713, 3381, 267, 1261, 1430, 18039, 9727, 543, 6941, 875, 547, 798, 513, 6744, 856, 891, 1644, 10067, 14900, 3817, 281, 1215, 547, 1684, 513, 700, 8632, 3026, 1188, 21253, 542, 853, 4958, 577, 281, 1215, 547, 1684, 513, 28644, 3026, 1188, 21253, 542, 853, 4958, 577, 281, 1215, 547, 1684, 513, 3026, 1188, 15585, 566, 853, 4958, 577, 281, 1215, 547, 1684, 606, 1323, 10262, 9701, 518, 853, 4958, 577, 281, 1215, 547, 1684, 513, 5403, 7845, 9701, 518, 853, 4958, 577, 281, 1215, 547, 1684, 513, 654, 2077, 21253, 528, 853, 4958, 577, 281, 1215, 547, 1684, 513, 570, 878, 788, 853, 4958, 577, 281, 1215, 547, 1684, 513, 570, 12447, 4432, 11312, 853, 4958, 577, 281, 1215, 547, 1684, 513, 7982, 5246, 853, 4958, 577, 281, 1215, 547, 1684, 513, 7982, 6215, 2794, 853, 4958, 577, 281, 1215, 547, 1684, 513, 15585, 566, 853, 4958, 577, 281, 1215, 547, 1684, 606, 2806, 12645, 853, 4958, 577, 281, 1215, 547, 1684, 513, 17121, 853, 4958, 577, 281, 1215, 547, 1684, 606, 4934, 518, 31177, 853, 4958, 577, 281, 1215, 547, 1684, 513, 30557, 4934, 518, 31177, 853, 4958, 577, 281, 1215, 547, 1684, 513, 23108, 514, 853, 4958, 577, 281, 1215, 547, 1684, 513, 3794, 1393, 639, 7665, 574, 639, 853, 4958, 577, 281, 1215, 547, 1684, 513, 2372, 611, 878, 10134, 853, 4958, 577, 281, 1215, 547, 1684, 513, 700, 11691, 2372, 611, 853, 4958, 577, 281, 1215, 547, 1684, 513, 31177, 21253, 528, 853, 4958, 577, 281, 1215, 547, 1684, 513, 590, 9231, 8621, 11415, 853, 4958, 577, 281, 1215, 547, 1684, 513, 918, 928, 9934, 2372, 611, 853, 4958, 577, 281, 1215, 547, 1684, 513, 30557, 1744, 514, 853, 4958, 577, 281, 1215, 547, 1684, 606, 11628, 1744, 514, 853, 4958, 577, 281, 1215, 547, 4429, 268, 670, 32121, 700, 8632, 21253, 542, 670, 32121, 519, 1590, 656, 700, 8632, 21253, 542, 454, 268, 853, 22844, 4446, 13571, 21253, 542, 13571, 4827, 542, 689, 519, 588, 22844, 13063, 616, 513, 1390, 4295, 4827, 542, 3635, 269, 744, 1111, 550, 1307, 267, 9082, 7965, 2097, 711, 689, 4222, 855, 519, 3668, 540, 970, 16428, 5832, 8112, 24179, 3724, 267, 25637, 267, 543, 8423, 1598, 902, 1040, 6969, 2324, 4395, 4827, 542, 268, 621, 568, 19624, 547, 6108, 930, 942, 15198, 519, 970, 16428, 5832, 4887, 2516, 563, 268, 21253, 539, 6186, 13793, 16311, 267, 3487, 476, 273, 901, 2680, 729, 851, 540, 519, 6468, 781, 8225, 24524, 29073, 4721, 630, 290, 17668, 293, 264, 1394, 538, 476, 1220, 273, 269, 8729, 547, 945, 1197, 2083, 4364, 621, 256, 769, 1840, 547, 519, 8912, 8516, 543, 4137, 733, 3949, 267, 789, 4371, 513, 4222, 270, 754, 4269, 16311, 593, 519, 2427, 1572, 519, 6468, 781, 4284, 1664, 7420, 269, 594, 6415, 711, 2386, 855, 621, 949, 723, 1044, 1930, 547, 4896, 267, 711, 1175, 15712, 269, 2290, 5180, 540, 621, 729, 519, 4827, 539, 6186, 13793, 269, 1358, 1175, 4371, 593, 607, 1279, 607, 789, 1223, 267, 543, 942, 13515, 950, 4064, 6749, 2630, 519, 3046, 269, 594, 13264, 621, 883, 476, 274, 4773, 282, 1934, 616, 6690, 476, 280, 268, 1626, 856, 540, 476, 2641, 269, 594, 4734, 621, 547, 596, 547, 1294, 945, 4465, 269, 2052, 596, 798, 1732, 982, 873, 286, 11473, 6114, 543, 623, 5357, 25492, 8292, 616, 9415, 563, 268, 21253, 542, 18873, 281, 4197, 4827, 542, 4255, 910, 769, 713, 3381, 3220, 269, 19375, 623, 1144, 718, 540, 21025, 2465, 6261, 1144, 718, 4982, 710, 7896, 9727, 4827, 542, 4255, 563, 268, 700, 29856, 21253, 542, 19877, 476, 273, 4460, 1290, 518, 5112, 1299, 19162, 570, 636, 2381, 10314, 1299, 2773, 8894, 268, 21253, 528, 5348, 913, 551, 3912, 21253, 528, 26654, 5348, 913, 551, 3912, 538, 513, 3461, 609, 27131, 12263, 9306, 609, 2530, 540, 9416, 3350, 543, 2199, 1928, 1813, 547, 861, 2617, 4345, 269, 9524, 539, 693, 519, 10348, 15117, 11233, 267, 5101, 6182, 13318, 1737, 563, 268, 5062, 10817, 25184, 1568, 519, 623, 1815, 6363, 2716, 528, 476, 4968, 271, 13772, 891, 31244, 1491, 1055, 2336, 268, 21696, 7136, 720, 267, 25947, 700, 8632, 21253, 542, 538, 519, 21696, 281, 634, 27587, 517, 6396, 12814, 13343, 27587, 517, 267, 4982, 710, 10610, 1740, 518, 585, 519, 2136, 2276, 4982, 652, 6929, 12243, 630, 17484, 4269, 264, 11414, 1053, 693, 513, 27587, 517, 6396, 12814, 29519, 538, 14977, 1258, 267, 12135, 267, 875, 547, 946, 700, 8632, 21253, 542, 547, 5305, 8082, 538, 519, 7504, 563, 268, 17832, 3455, 9416, 910, 325, 2716, 542, 4579, 675, 585, 1296, 269, 589, 2013, 540, 4049, 9594, 9416, 609, 4827, 542, 4579, 675, 540, 8258, 9416, 2451, 2110, 2287, 585, 1296, 269, 3725, 548, 1078, 829, 12827, 24345, 609, 2349, 1228, 1160, 2041, 26435, 676, 3220, 269, 966, 747, 2967, 966, 6359, 527, 30995, 330, 592, 1547, 31634, 271, 11263, 723, 1044, 5950, 609, 713, 4480, 609, 1434, 6364, 563, 268, 18897, 25714, 12879, 4827, 542, 543, 10137, 2598, 25068, 281, 1452, 7044, 616, 5497, 585, 519, 946, 676, 1053, 19801, 538, 670, 2464, 290, 476, 28147, 543, 476, 32076, 693, 519, 2160, 540, 26609, 547, 946, 607, 1353, 11226, 585, 741, 2854, 543, 4052, 11400, 269, 769, 1100, 1259, 616, 891, 7044, 14292, 11226, 585, 1866, 547, 2259, 543, 946, 267, 4061, 4896, 945, 5784, 891, 7044, 543, 16976, 547, 2259, 891, 2553, 1281, 865, 693, 741, 1378, 1981, 269, 634, 2553, 17814, 538, 519, 7044, 616, 6766, 676, 519, 5318, 1297, 540, 6030, 540, 11173, 2069, 594, 723, 3144, 1310, 22692, 689, 25280, 1153, 269, 594, 993, 711, 8204, 1022, 540, 1346, 3506, 540, 2219, 610, 741, 2553, 269, 1403, 596, 616, 5461, 538, 741, 2553, 543, 3886, 19148, 540, 2259, 1287, 594, 1131, 4363, 2921, 741, 6030, 269, 634, 3506, 602, 594, 723, 3144, 6030, 689, 1331, 519, 2382, 626, 1393, 540, 8447, 3203, 267, 6715, 13577, 15015, 10657, 10298, 267, 3345, 1977, 4659, 540, 15015, 10657, 267, 11671, 13106, 31517, 2382, 527, 826, 267, 13343, 28927, 3298, 6987, 8145, 640, 28294, 1637, 543, 11186, 5868, 6030, 267, 24910, 12070, 330, 9701, 518, 543, 918, 26234, 6030, 267, 5845, 5213, 6773, 569, 13105, 1576, 267, 15845, 538, 18289, 267, 772, 292, 1576, 540, 26353, 267, 4168, 320, 5516, 8261, 3797, 538, 1606, 26236, 676, 7033, 9197, 6064, 543, 4460, 4793, 3205, 267, 1250, 15938, 2875, 18942, 2866, 1995, 693, 519, 2160, 540, 15930, 267, 543, 10927, 2069, 693, 519, 2160, 540, 26609, 781, 25280, 1153, 563, 268, 667, 272, 623, 22143, 4827, 542, 270, 2169, 3290, 540, 519, 772, 292, 2598, 25068, 281, 1452, 7044, 616, 5497, 585, 519, 946, 676, 1053, 19801, 538, 670, 2464, 290, 476, 28147, 543, 476, 32076, 693, 519, 2160, 540, 26609, 547, 946, 607, 1353, 11226, 585, 741, 2854, 543, 4052, 11400, 269, 769, 1100, 1259, 616, 891, 7044, 14292, 11226, 585, 1866, 547, 2259, 543, 946, 267, 4061, 4896, 945, 5784, 891, 7044, 543, 16976, 547, 2259, 891, 2553, 1281, 865, 693, 741, 1378, 1981, 269, 634, 2553, 17814, 538, 519, 7044, 616, 6766, 676, 519, 5318, 1297, 540, 6030, 540, 11173, 2069, 594, 723, 3144, 1310, 22692, 689, 25280, 1153, 269, 594, 993, 711, 8204, 1022, 540, 1346, 3506, 540, 2219, 610, 741, 2553, 269, 1403, 596, 616, 5461, 538, 741, 2553, 543, 3886, 19148, 540, 2259, 1287, 594, 1131, 4363, 2921, 741, 6030, 269, 634, 3506, 602, 594, 723, 3144, 6030, 689, 1331, 519, 2382, 626, 1393, 540, 8447, 3203, 267, 6715, 13577, 15015, 10657, 10298, 267, 3345, 1977, 4659, 540, 15015, 10657, 267, 11671, 13106, 31517, 2382, 527, 826, 267, 13343, 28927, 3298, 6987, 8145, 640, 28294, 1637, 543, 11186, 5868, 6030, 267, 24910, 12070, 330, 9701, 518, 543, 918, 26234, 6030, 267, 5845, 5213, 6773, 569, 13105, 1576, 267, 15845, 538, 18289, 267, 772, 292, 1576, 540, 26353, 267, 634, 22630, 4659, 781, 6198, 13105, 543, 12048, 6030, 267, 4168, 320, 5516, 8261, 3797, 538, 1606, 26236, 676, 7033, 9197, 6064, 543, 4460, 4793, 3205, 267, 1250, 15938, 2875, 18942, 2866, 1995, 693, 519, 2160, 540, 15930, 267, 543, 10927, 2069, 693, 519, 2160, 540, 26609, 781, 25280, 1153, 563, 268, 21487, 18639, 7136, 720, 2433, 21487, 18639, 7136, 720, 281, 4643, 614, 1299, 667, 832, 531, 21253, 542, 769, 21487, 10649, 18552, 519, 1544, 614, 543, 24725, 4827, 542, 12701, 1058, 581, 6899, 585, 1312, 519, 7817, 543, 519, 11792, 572, 2224, 269, 6258, 811, 827, 519, 1544, 614, 543, 24725, 4827, 542, 21487, 10649, 18552, 4480, 609, 4388, 689, 513, 10649, 14357, 538, 713, 1863, 18552, 3797, 3381, 269, 16869, 281, 717, 2088, 17394, 12713, 281, 717, 2088, 17394, 6585, 519, 2140, 540, 18639, 13961, 668, 8643, 543, 568, 513, 4759, 540, 519, 18639, 19137, 269, 8606, 7825, 6033, 281, 18332, 681, 758, 657, 345, 454, 268, 8943, 322, 1299, 21253, 528, 910, 4563, 18924, 4637, 630, 294, 2958, 528, 570, 637, 615, 9509, 966, 5914, 3816, 1460, 264, 8943, 322, 1299, 21253, 528, 910, 4563, 18924, 4637, 22443, 281, 10566, 19475, 18280, 690, 258, 281, 10566, 269, 24699, 14474, 281, 15550, 2643, 267, 476, 1321, 2580, 476, 3393, 681, 15014, 267, 476, 3451, 476, 414, 483, 497, 681, 15014, 13474, 281, 13814, 1234, 548, 1078, 281, 476, 5881, 3967, 476, 1220, 280, 2637, 516, 281, 18329, 13910, 281, 3353, 334, 267, 5082, 549, 267, 14271, 628, 1790, 641, 267, 15306, 5600, 5192, 621, 693, 454, 268, 8943, 322, 1299, 21253, 528, 268, 4563, 18924, 4637, 454, 268, 21253, 528, 630, 4415, 9526, 331, 264, 4676, 2716, 901, 568, 513, 6609, 540, 519, 21253, 528, 4676, 2716, 267, 6382, 1634, 607, 519, 2060, 9526, 331, 4676, 2716, 563, 268, 30142, 1431, 540, 21253, 542, 14022, 4518, 719, 20113, 898, 781, 10557, 15917, 1189, 1934, 609, 1776, 15904, 2866, 9133, 269, 769, 713, 3381, 594, 6415, 2469, 547, 1397, 596, 875, 594, 946, 11636, 20358, 547, 1118, 11931, 3356, 689, 15904, 547, 15904, 269, 901, 568, 513, 1246, 909, 547, 519, 3105, 6186, 15904, 3381, 602, 594, 11540, 4505, 269, 594, 4312, 1044, 1210, 519, 7158, 540, 4827, 542, 2511, 540, 2866, 538, 513, 2603, 540, 1250, 23736, 609, 1390, 2164, 269, 634, 1101, 3635, 568, 552, 345, 1532, 541, 22833, 788, 1225, 3149, 269, 901, 568, 513, 4571, 24365, 1379, 3635, 585, 519, 22833, 10134, 269, 7831, 15904, 594, 5249, 909, 547, 476, 273, 5036, 540, 476, 277, 1065, 338, 609, 476, 8099, 7273, 269, 901, 15904, 594, 5249, 909, 547, 476, 273, 5036, 540, 476, 277, 1065, 338, 609, 476, 12893, 7273, 269, 1924, 602, 781, 513, 476, 276, 11013, 6454, 689, 1250, 2063, 15904, 269, 634, 1985, 3635, 568, 2673, 17945, 14541, 2046, 269, 901, 568, 519, 4571, 24365, 1379, 3635, 585, 519, 28886, 10134, 269, 7831, 15904, 594, 1705, 476, 18597, 7273, 269, 713, 15904, 594, 1705, 476, 20720, 7273, 269, 2334, 781, 513, 476, 1015, 18470, 269, 2744, 689, 1250, 2063, 15904, 269, 1411, 3513, 5469, 602, 594, 1832, 1250, 17945, 4010, 13105, 8700, 6306, 269, 24613, 6251, 1287, 713, 786, 1747, 4430, 8833, 593, 519, 1060, 338, 543, 3970, 519, 2179, 540, 2597, 596, 666, 12740, 269, 3767, 594, 6415, 2469, 547, 1847, 593, 547, 552, 345, 3046, 840, 12329, 1225, 3149, 269, 901, 568, 519, 4628, 21401, 3635, 585, 519, 22833, 10134, 269, 7831, 1554, 594, 1031, 476, 3583, 7273, 269, 585, 476, 273, 5036, 540, 476, 277, 269, 901, 1554, 594, 1031, 476, 3199, 7273, 269, 585, 476, 273, 5036, 540, 476, 277, 269, 589, 2407, 476, 1015, 18470, 269, 2744, 689, 1250, 2063, 15904, 269, 1411, 3513, 5469 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5842, 8277, 11386, 10104, 454, 268, 717, 5300, 631, 267, 21859, 14515, 661, 288, 267, 744, 572, 328, 595, 267, 918, 3757, 329, 659, 5174, 518, 529, 822, 331, 329, 5271, 545, 717, 630, 1220, 279, 264, 16214, 540, 1655, 2853, 585, 2244, 15869, 5726, 281, 16027, 6268, 269, 12713, 951, 640, 4139, 267, 7507, 11386, 10104, 454, 268, 4139, 8750, 585, 16581, 4886, 630, 1220, 280, 264, 6153, 2853, 538, 29355, 11837, 269, 4139, 8750, 585, 16581, 4886, 267, 7507, 11386, 10104, 454, 268, 4139, 8750, 585, 16581, 4886, 13834, 16237, 28517, 19510, 585, 8109, 543, 8828, 4000, 10406, 630, 1220, 273, 264, 15484, 18145, 585, 9439, 281, 4008, 543, 6710, 13389, 538, 2344, 3095, 720, 4238, 269, 4139, 8750, 585, 16581, 4886, 269, 4179, 2517, 4178, 269, 604, 611, 3820, 7933, 665, 3701, 270, 6200, 3199, 21669, 271, 320, 7367, 324, 4375, 268, 1815, 3451, 268, 30329, 279, 1532, 279, 322, 276, 8584, 320, 4200, 321, 276, 320, 2537, 2041, 274, 563, 268, 30857, 8433, 585, 26066, 5004, 630, 1220, 280, 264, 853, 820, 14516, 22580, 2994, 585, 29355, 11837, 269, 4179, 2517, 1723, 770, 269, 7224, 12711, 10993, 7933, 1092, 7933, 580, 1388, 1723, 770, 9706, 4206, 270, 4820, 4602, 2218, 2173, 6260, 15005, 563, 268, 24368, 4173, 321, 10740, 630, 1001, 274, 264, 14635, 543, 8497, 2030, 15013, 267, 513, 8261, 269, 4972, 540, 3163, 267, 6176, 5303, 267, 16743, 543, 519, 8551, 267, 645, 5142, 321, 2033, 11386, 10104, 454, 268, 590, 7159, 334, 744, 267, 4425, 2378, 334, 962, 267, 808, 553, 1177, 717, 267, 4165, 342, 328, 661, 267, 1744, 1195, 4821, 918, 267, 918, 3757, 329, 659, 5174, 518, 529, 822, 331, 329, 5271, 545, 717, 267, 14717, 2692, 1695, 681, 267, 5136, 1263, 674, 267, 21859, 14515, 661, 267, 6875, 1276, 328, 918, 630, 1001, 279, 264, 634, 19168, 2203, 585, 6043, 19349, 538, 12054, 3511, 573, 19168, 281, 12497, 1436, 543, 1514, 6388, 269, 769, 281, 590, 7159, 334, 744, 267, 918, 3757, 329, 659, 5174, 518, 529, 822, 331, 329, 5271, 545, 717, 267, 6875, 1276, 328, 918, 267, 21859, 14515, 661, 630, 2644, 264, 8490, 7471, 6043, 4640, 1996, 2916, 543, 5117, 2242, 585, 4427, 25781, 4000, 630, 306, 7685, 281, 3163, 585, 12655, 5081, 7724, 1040, 22219, 267, 3567, 267, 476, 29340, 335, 24340, 11386, 10104, 454, 268, 12312, 1492, 25534, 590, 267, 11910, 839, 918, 267, 1530, 858, 1068, 645, 630, 1960, 280, 264, 18430, 532, 513, 623, 6938, 2866, 543, 22212, 623, 6938, 2645, 547, 707, 2115, 269, 1323, 1383, 689, 513, 12160, 2218, 5600, 3835, 5253, 8232, 543, 12594, 5741, 538, 18629, 269, 5291, 2517, 4178, 8807, 7776, 3820, 7933, 665, 10517, 270, 19740, 24474, 276, 4200, 277, 324, 24474, 276, 4200, 277, 324, 876, 269, 12487, 300, 269, 21700, 476, 272, 4873, 476, 1001, 279, 454, 268, 14351, 27048, 26504, 4741, 630, 1001, 275, 264, 1548, 568, 6043, 286, 1323, 4367, 547, 8739, 268, 1815, 1670, 1382, 269, 5291, 2517, 4178, 14714, 1442, 27048, 637, 559, 1466, 3820, 7933, 5877, 270, 1240, 269, 6200, 866, 325, 322, 14625, 4649, 323, 274, 322, 4649, 278, 323, 277, 323, 2641, 270, 13970, 4817, 277, 271, 2190, 26631, 280, 13478, 308, 318, 306, 13612, 318, 6343, 529, 637, 559, 1466, 5334, 5866, 19688, 1001, 275, 15005, 269, 21700, 476, 1240, 8734, 476, 1001, 279, 454, 268, 21853, 5341, 338, 631, 267, 2052, 12061, 570, 267, 8709, 18264, 1084, 808, 267, 5651, 574, 9369, 962, 267, 962, 636, 2421, 320, 808, 267, 15158, 7637, 661, 267, 590, 4660, 590, 267, 8709, 632, 2983, 767, 808, 267, 1715, 3333, 600, 589, 267, 21244, 631, 267, 918, 5429, 21343, 590, 267, 918, 3554, 6798, 667, 267, 27526, 600, 784, 334, 667, 267, 674, 5417, 320, 595, 630, 1001, 276, 264, 30487, 2916, 1689, 13438, 543, 922, 2360, 593, 1426, 3354, 281, 13281, 513, 1007, 32367, 538, 25157, 269, 11554, 7433, 3143, 269, 476, 11011, 269, 595, 22835, 2752, 3194, 5358, 593, 8693, 7827, 267, 11982, 543, 5253, 8232, 267, 10515, 32683, 11386, 10104, 454, 268, 2136, 8315, 4886, 19510, 630, 1001, 279, 264, 30487, 5251, 6043, 281, 1655, 2853, 543, 4245, 4121, 689, 519, 2910, 13270, 292, 16775, 19510, 269, 6167, 7894, 267, 1715, 3840, 11386, 10104, 454, 268, 6167, 308, 16927, 3008, 630, 1001, 271, 264, 9045, 1195, 4821, 4149, 520, 537, 14741, 8134, 543, 1480, 1134, 5630, 281, 8739, 268, 1815, 1670, 2504, 8916, 540, 3567, 1107, 5758, 585, 3375, 15670, 269, 2136, 8315, 2160, 267, 19519, 11386, 10104, 454, 268, 6167, 308, 16927, 3008, 267, 12713, 951, 640, 4139, 267, 30312, 2464, 543, 6167, 7894, 630, 1001, 275, 264, 15484, 18145, 585, 519, 10832, 540, 6043, 538, 8739, 268, 1815, 1670, 2504, 8916, 543, 694, 2444, 16747, 269, 2136, 8315, 2160, 4659, 585, 519, 11628, 5530, 540, 20885, 267, 19519, 11386, 10104, 454, 268, 8709, 632, 2983, 767, 808, 267, 4437, 329, 1372, 9366, 622, 631, 267, 631, 342, 12629, 623, 267, 5651, 574, 9369, 962, 267, 674, 5417, 320, 595, 630, 1001, 275, 264, 2871, 4575, 1445, 1895, 5717, 593, 1083, 13926, 29159, 543, 9542, 547, 2916, 1689, 538, 5101, 4000, 269, 12713, 951, 640, 4139, 267, 7507, 11386, 10104, 454, 268, 8709, 744, 644, 22519, 8576, 674, 267, 631, 6359, 520, 990, 545, 667, 267, 29431, 345, 16331, 597, 516, 623, 289, 630, 1001, 271, 264, 20710, 3101, 7307, 543, 2067, 8916, 269, 634, 1909, 540, 2757, 6683, 538, 4509, 519, 4763, 543, 6043, 540, 1514, 268, 1815, 1670, 1949, 269, 769, 281, 645, 2946, 331, 1515, 595, 267, 594, 577, 1731, 11867, 918, 267, 654, 784, 15760, 299, 267, 25109, 784, 1195, 918, 297, 630, 2644, 264, 12655, 946, 540, 6211, 4763, 538, 8739, 268, 1815, 1670, 2504, 8916, 281, 4282, 547, 519, 2048, 25823, 1195, 4821, 685, 19541, 585, 519, 5484, 24674, 540, 26085, 543, 5274, 4270, 5174, 4370, 269, 14055, 14502, 10022, 476, 7367, 269, 10555, 30353, 540, 519, 13482, 593, 18143, 16844, 267, 27292, 267, 6032, 476, 279, 1700, 2641, 11386, 10104, 454, 15411, 7457, 901, 3184, 568, 13931, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 476, 275, 269, 271, 4139, 17821, 630, 10674, 2517, 16579, 633, 5570, 976, 3820, 270, 997, 5151, 270, 2421, 270, 275, 269, 271, 270, 1070, 799, 14998, 946, 267, 4687, 267, 9542, 267, 3892, 543, 12093, 538, 1022, 5420, 610, 3898, 267, 607, 1279, 607, 596, 2285, 3617, 5491, 547, 519, 3312, 2278, 4433, 264, 543, 519, 2707, 267, 1683, 513, 3095, 547, 519, 11300, 12780, 12689, 543, 5815, 952, 2242, 941, 1500, 563, 763, 2592, 610, 824, 3791, 5428, 1570, 538, 713, 3184, 616, 3769, 538, 519, 3184, 781, 11300, 12780, 12689, 267, 8259, 8612, 6382, 538, 513, 5491, 1899, 547, 519, 1570, 269, 1403, 1570, 568, 711, 3769, 538, 519, 3184, 781, 11300, 12780, 12689, 543, 707, 5497, 946, 568, 711, 15868, 676, 27152, 7939, 610, 20489, 519, 15868, 946, 267, 596, 786, 991, 547, 3489, 10479, 2047, 689, 519, 10677, 23649, 269, 0, 11085, 4456, 296, 630, 290, 7034, 300, 22585, 264, 1107, 634, 5993, 10370, 5090, 14368, 17643, 19589, 713, 3018, 865, 1205, 4712, 547, 1413, 909, 3162, 8419, 563, 2005, 779, 1634, 607, 519, 14368, 17643, 602, 9397, 519, 968, 5471, 11136, 10980, 892, 689, 5130, 547, 4571, 5025, 1440, 559, 543, 713, 1032, 621, 786, 8445, 593, 519, 6640, 540, 3047, 4303, 267, 4989, 476, 2420, 526, 269, 634, 14368, 17643, 786, 2253, 547, 4584, 909, 519, 11728, 3781, 543, 8445, 13628, 519, 476, 2420, 526, 269, 11016, 3781, 949, 581, 1434, 1932, 269, 3918, 4696, 27749, 281, 476, 274, 15570, 1117, 1677, 9351, 9869, 8558, 11374, 1744, 17415, 2311, 589, 1203, 3120, 26864, 454, 2026, 609, 1169, 14368, 17643, 267, 519, 1655, 1747, 543, 942, 547, 2070, 519, 1397, 568, 513, 4158, 1858, 1310, 28813, 563, 19013, 267, 519, 7599, 786, 581, 7679, 1359, 609, 519, 17643, 713, 1032, 269, 1635, 519, 1647, 540, 519, 3018, 267, 519, 7599, 786, 581, 6505, 267, 855, 693, 2547, 621, 786, 1305, 1354, 519, 840, 1673, 11921, 3108, 269, 1403, 596, 1265, 513, 5544, 543, 1616, 547, 3251, 909, 3735, 630, 528, 1205, 909, 2038, 264, 2614, 1287, 519, 6607, 1058, 581, 4158, 585, 596, 547, 5732, 2070, 476, 1015, 547, 476, 736, 1558, 324, 832, 829, 5662, 563, 2005, 779, 711, 513, 2603, 855, 1310, 3275, 1510, 513, 17643, 621, 1945, 547, 1413, 585, 563, 9336, 14368, 17643, 814, 513, 32689, 1448, 269, 901, 568, 1141, 267, 952, 596, 10250, 519, 2619, 540, 519, 1558, 324, 832, 18807, 267, 789, 3100, 547, 2408, 689, 269, 2060, 519, 10370, 337, 1749, 267, 789, 3100, 547, 2234, 5573, 689, 519, 26424, 10370, 571, 519, 4498, 335, 799, 3568, 519, 6505, 5182, 966, 9298, 269, 901, 26424, 786, 4473, 1142, 3781, 1175, 1310, 8370, 522, 685, 22018, 543, 4473, 1164, 538, 519, 6607, 269, 2991, 28813, 621, 786, 1413, 899, 621, 779, 3592, 16841, 269, 898, 779, 689, 966, 9298, 779, 26424, 10370, 571, 602, 519, 10370, 5090, 14368, 17643, 4991, 922, 2012, 8160, 16800, 21832, 306, 281, 5046, 769, 8419, 281, 476, 274, 267, 280, 6507, 1715, 27418, 267, 476, 5780, 16952, 12280, 338, 7797, 539, 14349, 454, 763, 2601, 585, 713, 14368, 17643, 568, 689, 1290, 564, 2334, 7815, 630, 290, 270, 5908, 272, 717, 272, 1040, 5272, 1032, 538, 3735, 4989, 938, 4541, 22613, 713, 28661, 779, 20771, 2619, 269, 634, 1985, 942, 519, 28661, 786, 3643, 938, 3859, 1062, 568, 476, 25375, 277, 269, 570, 4176, 4773, 8774, 676, 713, 28661, 538, 922, 10739, 786, 581, 10514, 8973, 938, 5580, 5790, 713, 3018, 693, 1472, 476, 8099, 267, 1822, 5195, 829, 5662, 269, 6733, 547, 10370, 571, 267, 519, 3056, 6316, 540, 938, 5790, 602, 786, 7237, 713, 11935, 267, 4611, 538, 519, 10370, 5090, 14368, 17643, 269, 0, 26670, 3496, 8516, 543, 3246, 2318, 1909, 3631, 568, 6225, 547, 2875, 1967, 269, 26121, 28644, 568, 513, 1982, 693, 3670, 7170, 594, 10026, 3506, 538, 519, 17865, 8235, 4975, 3427, 10588, 6035, 676, 2875, 13538, 689, 519, 8899, 749, 26999, 542, 7991, 6796, 4741, 563, 305, 7342, 28644, 6212, 593, 519, 2115, 540, 693, 16151, 6107, 538, 8772, 998, 15795, 9344, 269, 634, 8938, 19317, 3018, 1982, 7512, 2168, 8516, 543, 13976, 1582, 12635, 998, 7487, 11931, 2123, 6454, 269, 898, 849, 11414, 519, 1909, 540, 2732, 543, 6484, 538, 9319, 8377, 267, 3987, 267, 543, 824, 3676, 269, 3962, 3018, 513, 13186, 568, 2016, 1644, 547, 5718, 1983, 267, 3804, 4259, 267, 1434, 1915, 267, 610, 4509, 513, 2318, 19773, 563, 305, 7342, 28644, 779, 2866, 13976, 1983, 543, 513, 2631, 540, 9740, 269, 30151, 9428, 267, 1818, 621, 4443, 585, 1053, 547, 5706, 2942, 1514, 7506, 269, 19893, 2744, 606, 7071, 540, 8284, 28359, 267, 1628, 17052, 693, 1153, 267, 543, 3565, 547, 513, 2631, 540, 2146, 563, 15675, 10890, 17767, 519, 2123, 2208, 3255, 3177, 676, 519, 8899, 749, 26999, 542, 7991, 6796, 4741, 607, 1776, 1383, 540, 875, 18096, 717, 1161, 7982, 269, 0, 299, 5271, 328, 18135, 1380, 814, 2919, 513, 1184, 585, 1210, 476, 1911, 2600, 13381, 1216, 538, 2694, 540, 922, 14247, 753, 2504, 2443, 606, 2872, 1101, 2443, 547, 2569, 922, 1764, 593, 519, 1158, 781, 1216, 2200, 267, 519, 26851, 5359, 563, 763, 1184, 568, 519, 1267, 540, 513, 1007, 3791, 18407, 1216, 9657, 19027, 602, 6663, 547, 2569, 519, 1764, 540, 28630, 2504, 593, 4195, 1216, 2200, 269, 898, 568, 1373, 1031, 538, 835, 540, 519, 2754, 779, 3119, 4457, 15327, 267, 799, 6926, 2851, 267, 24470, 543, 6149, 342, 10449, 23157, 547, 3035, 1880, 5654, 610, 7959, 563, 28061, 918, 984, 9461, 267, 2274, 12858, 779, 966, 303, 540, 6940, 5143, 519, 1957, 602, 519, 2754, 6743, 693, 16501, 4808, 593, 19074, 540, 1216, 267, 607, 1134, 607, 2622, 2657, 9257, 4808, 593, 5883, 16894, 269, 634, 2754, 1287, 21534, 8030, 689, 519, 19135, 2872, 547, 3082, 891, 2489, 4808, 883, 513, 1305, 540, 4441, 602, 666, 581, 4481, 1031, 538, 519, 2872, 563, 4407, 519, 1184, 568, 1869, 538, 519, 4152, 11775, 267, 519, 10700, 3804, 568, 547, 946, 476, 1911, 2600, 13381, 1216, 547, 9096, 513, 9962, 2039, 540, 2274, 12858, 779, 2472, 693, 15327, 538, 824, 2694, 540, 519, 1158, 267, 918, 984, 9461, 1767, 563, 3080, 540, 519, 3791, 6105 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 547, 6001, 6091, 543, 2061, 15319, 1145, 780, 1262, 3721, 476, 278, 281, 13773, 7763, 17300, 543, 3117, 11962, 4373, 265, 2878, 305, 1168, 731, 3590, 4995, 18270, 622, 1507, 24984, 2059, 519, 1259, 267, 8156, 3054, 547, 1875, 32103, 3688, 610, 2833, 602, 3142, 7772, 563, 265, 2878, 28398, 1464, 31313, 4995, 9523, 707, 3853, 609, 2828, 610, 1920, 2818, 267, 8716, 8994, 8404, 543, 1489, 563, 265, 2878, 3682, 28698, 31524, 4995, 17115, 2689, 6592, 3356, 547, 2697, 2127, 585, 6454, 543, 2226, 15131, 780, 1262, 21206, 9669, 543, 3816, 785, 619, 4373, 265, 19415, 547, 2575, 610, 27143, 547, 3986, 7099, 543, 1445, 1282, 23736, 563, 265, 6333, 17874, 609, 513, 14468, 26519, 610, 3782, 3318, 585, 10531, 5796, 563, 265, 2142, 3461, 543, 2186, 2509, 3054, 282, 22303, 616, 3339, 267, 543, 18094, 11729, 2164, 780, 3528, 1739, 891, 3268, 267, 596, 3513, 581, 1134, 25668, 5792, 547, 7832, 593, 513, 3811, 2597, 2000, 1601, 3460, 593, 513, 25500, 17524, 1369, 513, 3923, 269, 5457, 547, 4225, 3106, 267, 4313, 267, 543, 11007, 267, 543, 1810, 1405, 19292, 547, 3343, 948, 8164, 2877, 269, 6153, 9939, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 299, 846, 13379, 593, 513, 570, 1348, 17524, 538, 513, 13600, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 8080, 547, 938, 3408, 540, 6428, 345, 7921, 1554, 15143, 256, 1411, 1522, 581, 11842, 267, 1141, 568, 6428, 345, 7921, 286, 4270, 267, 621, 781, 513, 4190, 2749, 4092, 538, 519, 2295, 540, 15212, 267, 11303, 676, 18198, 10239, 543, 18932, 3039, 23898, 269, 901, 22539, 1747, 814, 1945, 585, 3025, 910, 1686, 267, 2575, 267, 1148, 267, 2470, 267, 543, 8949, 1426, 256, 1924, 1577, 781, 4685, 883, 519, 1158, 540, 6428, 345, 7921, 1554, 15143, 543, 3605, 1946, 713, 23406, 3864, 10278, 19262, 513, 5544, 593, 1169, 2875, 781, 19943, 1592, 780, 5575, 267, 1018, 4010, 616, 1554, 15143, 286, 5994, 2348, 519, 4960, 547, 3643, 606, 5863, 1007, 4087, 1247, 1869, 13059, 1753, 693, 3781, 547, 3207, 538, 707, 1378, 5127, 269, 2334, 781, 519, 5898, 540, 513, 1554, 7552, 256, 898, 2636, 721, 547, 1995, 1114, 4529, 267, 21056, 267, 543, 32345, 1510, 7836, 1932, 1454, 942, 2476, 689, 938, 3232, 13467, 269, 1656, 950, 621, 2501, 547, 7446, 513, 9735, 1554, 7552, 10278, 267, 6428, 345, 7921, 5963, 31438, 269, 9462, 490, 508, 692, 3086, 267, 4605, 3054, 6972, 1524, 7522, 25865, 4565, 9693, 10754, 20898, 609, 10477, 5656, 24224, 609, 5810, 22107, 8172, 689, 6885, 521, 1571, 269, 1306, 596, 588, 2651, 2059, 267, 596, 5873, 5283, 617, 1190, 26107, 16079, 532, 2429, 519, 2011, 269, 715, 2100, 267, 596, 10093, 1405, 16686, 2390, 513, 9589, 4023, 12682, 1446, 282, 3079, 267, 596, 2811, 3695, 6428, 345, 7921, 781, 8978, 6196, 16011, 1107, 835, 540, 922, 1082, 20648, 2622, 11595, 4609, 256, 9462, 490, 491, 414, 505, 359, 20804, 692, 12441, 2576, 2161, 26345, 13000, 286, 7937, 9811, 267, 789, 1705, 256, 2755, 29595, 1472, 267, 1810, 1405, 7340, 547, 2119, 20787, 691, 330, 1872, 601, 630, 29455, 544, 1824, 19603, 18396, 334, 3766, 601, 1070, 513, 17175, 10217, 1476, 1254, 3957, 1310, 16423, 32184, 2549, 1228, 639, 20787, 691, 267, 945, 729, 4535, 1318, 1934, 538, 6428, 345, 7921, 269, 1452, 32727, 696, 1190, 11084, 2874, 540, 2261, 32502, 534, 267, 562, 537, 326, 520, 267, 543, 16537, 778, 1470, 20386, 538, 4158, 10217, 269, 962, 636, 256, 9462, 491, 360, 6930, 502, 489, 692, 3719, 7227, 267, 972, 781, 811, 256, 9894, 596, 917, 602, 6428, 345, 7921, 568, 4583, 585, 1373, 519, 4259, 540, 519, 11537, 7574, 7260, 834, 763, 14675, 540, 8535, 22172, 8786, 267, 8197, 256, 4438, 707, 1554, 7552, 267, 1491, 519, 4316, 547, 2206, 2059, 609, 7325, 773, 12448, 338, 543, 18332, 1773, 28026, 607, 596, 2263, 1585, 4670, 6753, 899, 21001, 10428, 20066, 25052, 267, 2274, 641, 9529, 330, 1258, 20066, 267, 543, 18774, 1962, 18365, 20066, 269, 5808, 6487, 267, 6148, 596, 3513, 1256, 1265, 707, 6418, 12756, 13153, 3004, 653, 256, 9462, 492, 370, 6930, 504, 366, 692, 2252, 15627, 5749, 1405, 17559, 585, 596, 267, 1287, 7832, 593, 513, 13858, 10814, 1286, 11878, 909, 547, 14208, 2380, 531, 345, 7921, 10783, 816, 269, 2311, 641, 713, 14629, 6763, 513, 15999, 14500, 5356, 31858, 25271, 5784, 540, 519, 3003, 2749, 543, 3564, 269, 2142, 2386, 547, 7001, 10875, 5961, 543, 1451, 827, 6428, 345, 7921, 781, 3638, 10120, 2250, 269, 30850, 267, 2972, 12899, 693, 513, 2757, 22341, 13962, 7674, 654, 1329, 518, 590, 1013, 6308, 601, 267, 7442, 325, 601, 1598, 644, 601, 630, 20625, 1193, 644, 601, 264, 543, 824, 5023, 22476, 8286, 269, 9462, 493, 364, 6930, 497, 372, 6930, 491, 377, 692, 7661, 267, 16833, 909, 707, 12300, 6428, 345, 7921, 1554, 7552, 609, 513, 16837, 569, 10935, 23593, 2059, 519, 32668, 6428, 345, 778, 5211, 269, 4039, 1314, 543, 7938, 785, 607, 596, 1350, 728, 896, 13123, 267, 23507, 11265, 13300, 267, 543, 5951, 1434, 25742, 547, 1007, 2828, 1558, 1282, 707, 7045, 269, 1548, 513, 3501, 1259, 547, 1439, 606, 20605, 1554, 256, 2340, 505, 369, 20804, 6930, 490, 483, 692, 1103, 3932, 267, 6428, 345, 7921, 1554, 15143, 2709, 11995, 7399, 585, 1187, 543, 1565, 3544, 519, 4928, 6821, 269, 3245, 3140, 29293, 547, 2686, 21599, 543, 7499, 4943, 725, 267, 891, 32751, 687, 1683, 3255, 585, 1053, 899, 596, 547, 22962, 20030, 543, 15052, 1620, 540, 938, 3309, 1158, 269, 1924, 3640, 707, 11435, 267, 10544, 707, 8254, 267, 543, 6443, 803, 1985, 942, 607, 649, 3136, 938, 5691, 4663, 2066, 2342, 256, 19402, 1287, 267, 6126, 12599, 256, 9462, 502, 488, 6930, 490, 491, 27077, 486, 20804, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 2293, 1500, 585, 596, 454, 20524, 519, 1655, 540, 2342, 609, 10496, 3385, 454, 5804, 2899, 2987, 8584, 2000, 604, 8135, 9035, 547, 930, 540, 2342, 779, 14758, 8153, 4025, 267, 547, 15143, 547, 930, 540, 519, 11782, 779, 1034, 11599, 18353, 267, 649, 666, 1711, 513, 14850, 335, 5803, 267, 17195, 543, 16950, 8393, 9709, 7552, 547, 513, 2039, 540, 4025, 538, 2342, 563, 5978, 4274, 2951, 9858, 917, 1175, 875, 547, 12366, 1047, 707, 942, 543, 2833, 865, 596, 666, 1205, 519, 1034, 856, 540, 707, 17195, 2342, 7552, 269, 1284, 723, 1202, 3187, 1702, 593, 782, 519, 1360, 1655, 20730, 267, 12600, 19150, 543, 2199, 10274, 865, 596, 666, 1964, 21407, 602, 707, 7552, 786, 581, 3501, 563, 289, 2590, 532, 17195, 543, 2199, 6791, 1927, 267, 649, 1711, 13801, 543, 1101, 1362, 15143, 971, 607, 12600, 5721, 15322, 512, 893, 519, 8916, 540, 16848, 267, 547, 4357, 22892, 15143, 538, 10255, 267, 8819, 1258, 5669, 19150, 609, 11477, 4966, 267, 543, 9035, 540, 782, 5686, 563, 11854, 752, 547, 513, 2951, 14704, 2221, 547, 1376, 4058, 707, 17195, 2342, 1205, 12537, 563, 21615, 1046, 593, 513, 29271, 5721, 3460, 998, 519, 6777, 344, 19589, 540, 16848, 454, 310, 820, 909, 538, 513, 1298, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21946, 345, 7921, 4303, 10222, 1186, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 15212, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 7025, 19731, 13734, 538, 2052, 10109, 529, 5525, 692, 7072, 1384, 763, 14713, 540, 15267, 814, 1044, 513, 1713, 2872, 538, 3013, 781, 9622, 12245, 21121, 267, 3226, 538, 670, 3518, 1245, 339, 6019, 267, 2094, 519, 3735, 476, 3422, 271, 338, 269, 901, 2872, 814, 1185, 7096, 2825, 5222, 267, 1312, 2318, 543, 2942, 267, 799, 616, 1898, 547, 1174, 585, 1346, 5461, 538, 13197, 513, 4876, 538, 713, 2361, 269, 1306, 971, 267, 713, 1576, 1770, 6212, 593, 7025, 19731, 13734, 1369, 519, 2796, 540, 15267, 2090, 267, 4481, 6313, 4264, 2853, 267, 4199, 2359, 267, 543, 5726, 3646, 269, 3414, 3695, 891, 3584, 267, 1053, 786, 2744, 513, 4514, 7071, 585, 519, 10347, 3666, 1063, 1480, 2115, 543, 8733, 11091, 780, 296, 269, 12655, 13756, 538, 2052, 10109, 529, 4980, 10474, 692, 288, 269, 17667, 28524, 10613, 692, 16391, 545, 8105, 2409, 4125, 3395, 15267, 1510, 10991, 18168, 267, 13851, 267, 610, 16220, 9168, 7103, 630, 14875, 11675, 1040, 1452, 2553, 3895, 3037, 1072, 676, 8716, 2067, 8770, 15203, 543, 5807, 2635, 8134, 602, 666, 1489, 3309, 2030, 1272, 269, 4841, 786, 1451, 827, 1585, 5214, 22853, 899, 11003, 267, 22890, 267, 543, 3382, 7031, 267, 2059, 609, 741, 2640, 547, 3037, 2497, 543, 2949, 7693, 30840, 269, 5015, 267, 789, 786, 3605, 875, 13959, 2371, 948, 1852, 10860, 543, 3676, 1247, 5355, 26853, 3928, 543, 3246, 3606, 8907, 12535, 998, 12242, 3771, 341, 3949, 780, 289, 269, 21091, 28814, 5004, 630, 7709, 300, 264, 11150, 692, 18204, 3603, 28814, 5004, 2994, 2832, 693, 10893, 3114, 11378, 1247, 21924, 6211, 8060, 585, 5883, 10860, 543, 3676, 269, 1635, 9001, 7379, 300, 12485, 267, 6705, 2569, 1761, 2800, 547, 1875, 2389, 13759, 2249, 267, 2226, 1587, 2298, 267, 543, 8190, 4478, 9249, 269, 6206, 3334, 540, 7379, 300, 1331, 5464, 11641, 5095, 267, 7114, 6225, 7786, 267, 14139, 2686, 2853, 267, 1210, 27386, 543, 15451, 13851, 838, 2130, 569, 267, 543, 7598, 7226, 12879, 269, 8865, 2090, 5031, 3811, 6388, 540, 7379, 300, 3741, 538, 5010, 15267, 2504, 780, 290, 269, 4826, 11094, 9828, 692, 12850, 5726, 4249, 513, 2629, 1909, 538, 13476, 3743, 15267, 14713, 1813, 547, 922, 1164, 1216, 3747, 269, 4841, 786, 2263, 5499, 12555, 1949, 2966, 547, 11126, 1216, 6165, 267, 1519, 30620, 12555, 267, 7449, 16577, 12555, 267, 543, 8856, 3498, 4066, 269, 1358, 786, 849, 4983, 24467, 16276, 267, 15454, 4248, 19074, 267, 543, 1535, 518, 529, 3874, 30120, 607, 1797, 540, 4227, 2949, 1216, 4616, 269, 3958, 267, 5717, 1472, 19705, 582, 4920, 17508, 9273, 267, 4365, 1239, 2079, 267, 543, 20319, 2645, 5512, 5483, 3375, 6194, 3823, 3617, 1216, 3156, 780, 2862, 269, 12754, 5004, 543, 11094, 27557, 692, 288, 269, 6052, 21252, 21474, 692, 2026, 11255, 14713, 6703, 1419, 2154, 8101, 1648, 3403, 267, 713, 3296, 12538, 883, 1655, 2853, 585, 25137, 2200, 543, 16715, 3327, 29066, 269, 11762, 4988, 1331, 10896, 8654, 2029, 267, 12809, 3859, 1374, 267, 3653, 3002, 6051, 267, 543, 5100, 2916, 1852, 1949, 269, 22414, 9382, 540, 1114, 1332, 5054, 1107, 16280, 267, 3039, 17346, 267, 11876, 641, 8075, 267, 543, 9205, 5468, 1107, 1683, 4030, 883, 8939, 6099, 4609, 1759, 593, 2199, 20296, 2175, 543, 6940, 3853, 780, 289, 269, 26085, 10466, 543, 26335, 26198, 692, 8139, 519, 2956, 540, 5065, 10664, 543, 7320, 23725, 832, 538, 5885, 6237, 9265, 568, 4105, 950, 3384, 15267, 11396, 269, 769, 713, 2543, 267, 1053, 786, 1353, 2244, 946, 4058, 4485, 602, 7413, 19717, 547, 6213, 2127, 267, 2149, 18009, 4115, 10851, 267, 543, 5000, 7226, 11808, 3785, 269, 5047, 267, 789, 786, 1865, 23712, 609, 2199, 5726, 3906, 543, 8041, 547, 2327, 10220, 609, 2825, 6042, 543, 7119, 538, 2146, 12454, 7341, 5009, 19642, 780, 7656, 269, 8889, 31197, 543, 5398, 22580, 692, 19931, 2792, 1983, 616, 2556, 585, 14957, 3609, 2242, 5466, 2825, 4145, 2404, 609, 15267, 14713, 269, 4475, 267, 713, 3296, 28382, 1053, 609, 2645, 547, 4497, 8639, 3927, 267, 3310, 1857, 6644, 267, 543, 3337, 9431, 10850, 269, 3414, 2013, 2090, 543, 4052, 5751, 267, 1053, 786, 2259, 13167, 10388, 6835, 267, 16107, 2923, 5867, 267, 2502, 14519, 267, 543, 2679, 5755, 1431, 2066, 9922, 269, 11086, 267, 23518, 2043, 3565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 267, 2408, 547, 11851, 15852, 7506, 593, 8849, 2534, 538, 519, 31443, 4776, 30613, 16794, 630, 332, 303, 15598, 1070, 513, 2634, 3148, 26582, 538, 5042, 4393, 543, 3375, 6194, 269, 1635, 5386, 2389, 12941, 519, 3666, 1063, 29835, 543, 22629, 3842, 891, 13805, 5095, 267, 7103, 666, 1110, 3634, 8965, 3977, 2687, 547, 17888, 2825, 2175, 780, 13706, 267, 585, 3236, 267, 513, 1353, 6313, 519, 1764, 540, 1583, 582, 517, 21544, 15202, 593, 1514, 15796, 5250, 538, 4775, 8423, 9094, 269, 12824, 4362, 602, 28720, 513, 3075, 602, 28729, 31591, 476, 276, 6953, 307, 273, 288, 13364, 15469, 10728, 5615, 267, 7551, 7393, 17282, 4567, 1851, 8951, 24428, 1927, 269, 17957, 267, 11852, 540, 476, 276, 6953, 307, 272, 288, 13364, 26793, 14699, 267, 5807, 29884, 5107, 269, 21452, 267, 891, 2360, 9867, 609, 519, 3259, 540, 21765, 4810, 676, 519, 8423, 9094, 267, 11021, 602, 22515, 781, 3310, 593, 1514, 6384, 568, 2796, 17466, 543, 6213, 547, 12119, 10291, 780, 5194, 1353, 14236, 1583, 582, 517, 21544, 7939, 540, 12119, 5615, 5059, 593, 4829, 13733, 267, 13031, 2147, 4681, 269, 1879, 6534, 547, 2110, 2395, 267, 7222, 547, 15489, 543, 5162, 2175, 267, 13733, 17820, 4389, 21525, 19318, 2534, 543, 12012, 8023, 6208, 3379, 547, 741, 1279, 6377, 13413, 269, 5015, 267, 12879, 540, 476, 276, 6953, 307, 273, 288, 543, 476, 276, 6953, 307, 272, 288, 13805, 4082, 2157, 7000, 602, 2810, 476, 276, 6953, 307, 273, 288, 15202, 8476, 8038, 30506, 547, 2110, 2395, 267, 6466, 11506, 476, 276, 6953, 307, 272, 288, 2534, 14927, 2989, 8417, 269, 8625, 267, 891, 2164, 17538, 602, 22515, 781, 1909, 538, 1199, 11868, 12119, 14624, 11498, 3564, 11864, 543, 2693, 4564, 606, 4720, 3320, 24721, 7271, 780, 2026, 11609, 676, 519, 1806, 1657, 267, 1620, 519, 1950, 16799, 1063, 2916, 267, 12405, 267, 543, 6211, 1949, 3340, 9488, 1702, 540, 16221, 2188, 5665, 693, 2789, 10253, 31539, 7636, 4205, 1369, 1367, 2281, 547, 2518, 10009, 3270, 12018, 3376, 8397, 11626, 2175, 269, 5047, 267, 9301, 875, 891, 3334, 1071, 2297, 576, 547, 5352, 28928, 3601, 1898, 585, 4509, 1272, 593, 3047, 2488, 3407, 4030, 883, 519, 6946, 13795, 540, 2470, 269, 11569, 267, 19825, 519, 10347, 11466, 24569, 938, 4541, 3587, 782, 519, 811, 1093, 17257, 9624, 5571, 5717, 4478, 27643, 2916, 1689, 543, 922, 1761, 5222, 593, 2104, 5481, 780, 3528, 14237, 7279, 827, 519, 1158, 1472, 721, 543, 5275, 4267, 998, 11826, 3621, 7634, 267, 649, 16491, 6000, 609, 519, 2645, 2556, 547, 13720, 10296, 2825, 2152, 2212, 6823, 269, 11086, 267, 1128, 3739, 513, 2631, 540, 4898, 543, 5539, 4724, 2470, 3788, 14063, 538, 4180, 922, 11091, 585, 1296, 547, 2097, 269, 2991, 782, 267, 607, 11317, 540, 713, 18198, 4544, 11497, 17735, 1996, 519, 17184, 20457, 267, 649, 28297, 621, 547, 6000, 543, 16968, 640, 547, 10027, 880, 543, 2149, 519, 10475, 13344, 1655, 15735, 2390, 721, 676, 519, 7122, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10403, 25071, 7630, 528, 454, 7437, 2789, 2090, 543, 6901, 267, 621, 814, 1044, 1336, 602, 1973, 327, 2863, 1100, 973, 11798, 4647, 1863, 676, 19089, 7020, 568, 3226, 1713, 538, 595, 269, 634, 1239, 13890, 1934, 5815, 602, 519, 5108, 540, 8229, 25372, 538, 13470, 10537, 11409, 540, 519, 544, 303, 15598, 568, 14931, 538, 519, 6587, 6073, 676, 2022, 27675, 25443, 476, 276, 6953, 307, 476, 273, 288, 543, 476, 276, 6953, 307, 476, 272, 288, 13364, 269, 2334, 1259, 952, 4896, 16976, 547, 1404, 835, 3368, 610, 646, 1188, 267, 952, 476, 273, 1004, 6430, 547, 1404, 621, 607, 513, 2319, 789, 723, 4055, 547, 4188, 610, 1256, 2087, 621, 269, 26758, 585, 1101, 6066, 8436, 610, 1346, 593, 513, 942, 6578, 267, 3643, 519, 19289, 267, 10651, 267, 519, 8065, 540, 19257, 5558, 267, 543, 811, 267, 538, 1152, 3368, 513, 1554, 269, 1403, 596, 6952, 513, 3440, 593, 1022, 1166, 23124, 543, 596, 1616, 547, 3142, 621, 547, 519, 824, 2427, 267, 596, 666, 798, 519, 1739, 281, 15579, 1312, 1166, 26802, 909, 267, 5305, 519, 1166, 23124, 609, 519, 3440, 593, 621, 585, 513, 2110, 4090, 543, 3142, 621, 909, 1586, 269, 10738, 519, 2551, 540, 2021, 3769, 538, 519, 1353, 269, 634, 1554, 3459, 609, 13465, 540, 519, 536, 327, 1690, 753, 543, 4553, 676, 606, 10066, 2911, 602, 729, 2016, 676, 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, 3163, 1299, 7186, 1315, 16661, 1315, 1530, 3517, 543, 8693, 2098, 2158, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 21001, 3380, 540, 7186, 998, 19978, 12267, 692, 8893, 476, 272, 281, 4985, 547, 21001, 3380, 540, 7186, 692, 5970, 596, 2479, 4862, 2576, 946, 519, 8360, 834, 2005, 781, 513, 27803, 10590, 950, 1945, 5863, 4523, 286, 10705, 267, 649, 1589, 827, 28986, 607, 16750, 2621, 602, 1219, 344, 519, 4031, 540, 2470, 269, 1717, 267, 972, 616, 849, 1082, 2984, 538, 3909, 5931, 899, 519, 6426, 602, 4766, 1018, 649, 1289, 834, 332, 4275, 3380, 540, 2470, 1701, 1452, 5749, 1405, 8209, 14393, 31397, 1317, 789, 2736, 519, 3652, 282, 3079, 267, 789, 1397, 721, 875, 6909, 543, 10562, 938, 2067, 1158, 5963, 568, 2439, 1103, 713, 1576, 1770, 267, 649, 786, 2263, 1585, 13400, 2984, 602, 6542, 28986, 540, 2470, 269, 1635, 1620, 891, 2984, 1732, 267, 649, 666, 5660, 1312, 519, 5898, 540, 2696, 781, 5137, 543, 519, 1379, 540, 2470, 3294, 269, 1284, 786, 1451, 1927, 676, 7234, 4277, 1806, 267, 16460, 15826, 2055, 267, 543, 11264, 1187, 2238, 269, 1924, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 28986, 540, 2470, 1336, 538, 8567, 2439, 8893, 476, 273, 281, 29303, 593, 4826, 630, 31861, 476, 1691, 281, 2420, 268, 3451, 2020, 3080, 4583, 1650, 689, 519, 1715, 11620, 3322, 4906, 6972, 593, 1216, 269, 901, 2680, 9727, 513, 2189, 5872, 1063, 5132, 543, 6323, 269, 2755, 621, 1522, 3100, 7543, 585, 513, 1268, 547, 3802, 593, 1216, 267, 930, 3744, 2303, 602, 1978, 2825, 2175, 1223, 723, 4847, 4906, 547, 798, 865, 17303, 269, 1280, 1383, 267, 952, 519, 2627, 540, 519, 4262, 729, 4988, 676, 513, 6094, 4494, 540, 4672, 267, 621, 1131, 2408, 4396, 1247, 1869, 1373, 1152, 6279, 5394, 269, 2060, 1175, 2614, 5132, 267, 835, 1522, 1981, 19480, 5196, 971, 513, 17866, 6656, 540, 4672, 543, 6707, 3444, 936, 621, 269, 4014, 713, 7664, 3085, 1405, 4125, 1022, 10143, 6304, 267, 621, 8711, 519, 10578, 7399, 1369, 2470, 780, 12244, 281, 3194, 1114, 3621, 6436, 7713, 875, 2576, 1522, 9583, 3802, 593, 1216, 269, 9523, 707, 4681, 609, 519, 1362, 543, 1865, 799, 3069, 4667, 1034, 26363, 780, 8893, 476, 274, 281, 2836, 2719, 519, 23566, 630, 15812, 476, 275, 281, 3374, 268, 6078, 2020, 5194, 7415, 1650, 2934, 4906, 22196, 513, 10795, 7088, 693, 4262, 269, 4340, 547, 14368, 5505, 267, 6727, 2242, 538, 4365, 3270, 666, 3006, 1291, 547, 6397, 9350, 1145, 1256, 1282, 4049, 15420, 269, 1403, 4906, 1185, 15982, 1702, 540, 1010, 10450, 543, 6956, 31587, 4365, 10593, 267, 646, 1522, 723, 1044, 2111, 547, 3589, 950, 519, 7088, 1131, 1016, 2515, 269, 17968, 267, 1010, 4527, 949, 723, 3177, 15260, 4269, 543, 1445, 547, 1346, 1472, 1864, 267, 7175, 873, 547, 6330, 998, 519, 14784, 811, 3927, 269, 23657, 1259, 267, 713, 9661, 14550, 519, 1761, 1764, 540, 7326, 543, 22471, 1006, 9624, 20437, 4229, 540, 2470, 780, 30206, 7726, 281, 2052, 596, 2671, 2123, 2833, 1141, 9363, 9350, 5280, 8207, 513, 2352, 3510, 286, 1215, 1281, 2348, 6015, 538, 13951, 1860, 4093, 538, 4101, 6381, 2496, 8893, 476, 275, 281, 18527, 540, 10753, 2314, 543, 674, 8460, 630, 11990, 476, 277, 281, 272, 268, 1691, 2020, 1103, 713, 1134, 8153, 1612, 762, 267, 4906, 20555, 5215, 540, 1004, 1210, 1152, 2947, 3138, 2314, 540, 3694, 543, 1079, 3165, 269, 9282, 713, 2680, 5526, 9058, 267, 621, 11363, 519, 2956, 540, 4687, 2200, 543, 2324, 1927, 269, 1879, 2043, 3565, 741, 1983, 543, 22590, 267, 7104, 3646, 1419, 6556, 9670, 2164, 269, 5015, 267, 2487, 2090, 7866, 602, 1978, 2010, 540, 4551, 666, 9062, 6385, 896, 1808, 2175, 267, 5732, 3056, 547, 12825, 2208, 2147, 547, 602, 4330, 538, 519, 1650, 269, 4634, 1498, 2257, 4805, 3112, 2491, 2476, 519, 5289, 5048, 3297, 713, 27803, 267, 621, 1281, 7618, 721, 540, 2470, 781, 4390, 585, 11606, 950, 2016, 519, 4960, 780, 19061, 281, 5029, 1125, 513, 1895, 2534, 1141, 1142, 2875, 6770, 513, 1507, 6221, 630, 3697, 513, 4062, 540, 4829, 610, 11491, 7637, 3046, 1040, 28799, 782, 3688, 543, 15814, 873, 8449, 1851, 5171, 269, 14484, 2390, 875, 1367, 7418, 8507, 538, 513, 3152, 2898, 780, 9961, 713, 1576, 1770, 267, 649, 4126, 547, 8300, 7279, 827, 519, 13300, 540, 938, 2067, 1158, 543, 5000, 2565, 3206, 3823, 13400, 2984, 269, 5457, 267, 3695, 28986, 540, 2470, 3884, 1405, 827, 4466, 17046, 4267, 855, 2864, 19825, 519, 10848, 543, 2261, 12069, 6456, 1369, 2696, 781, 5137, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 4488, 3918, 307, 11298, 6311, 305, 12114, 910, 309, 5357, 9331, 292, 910, 274, 8894, 268, 3487, 476, 273, 540, 476, 275, 454, 1877, 547, 979, 547, 3487, 476, 272, 454, 12812, 1934, 547, 979, 547, 3487, 476, 274, 454, 12812, 1934, 547, 979, 547, 3487, 476, 275, 454, 347, 6507, 1475, 25721, 3326, 517, 3780, 540, 14977, 3570, 1475, 1704, 1475, 15782, 2008, 347, 4281, 1475, 763, 27405, 1190, 11819, 1475, 1704, 1475, 14530, 2008, 347, 8064, 1475, 25721, 3326, 517, 3780, 3112, 581, 20121, 5797, 539, 1475, 1704, 1475, 15836, 2008, 347, 3199, 1475, 5719, 19257, 6807, 593, 7442, 3326, 517, 3780, 1475, 1704, 1475, 13670, 2008, 347, 10037, 1475, 25721, 3326, 517, 3780, 1100, 11470, 1475, 1704, 1475, 15389, 2008, 347, 11025, 1475, 293, 9711, 5817, 29615, 696, 4437, 13132, 1475, 1240, 1475, 15946, 2008, 347, 10695, 1475, 27716, 543, 7442, 3326, 517, 3780, 1475, 1240, 1475, 16928, 2008, 347, 10019, 1475, 18693, 13132, 540, 9024, 28179, 1475, 1240, 1475, 15221, 2008, 347, 5952, 1475, 13436, 640, 540, 6181, 1742, 1475, 1240, 1475, 16960, 2008, 347, 10436, 1475, 26903, 540, 2441, 1475, 1240, 1475, 13970, 2008, 347, 9262, 1475, 288, 3978, 27190, 4920, 3175, 1475, 1240, 1475, 15704, 2008, 347, 6434, 1475, 5353, 4038, 1684, 551, 9068, 540, 4906, 1475, 1240, 1475, 14983, 2008, 347, 8660, 1475, 763, 595, 4592, 543, 14265, 322, 32267, 1475, 1240, 1475, 14681, 2008, 347, 3445, 1475, 763, 9452, 540, 4906, 1475, 1240, 1475, 14631, 2008, 347, 11011, 1475, 763, 10021, 1438, 19716, 1475, 1240, 1475, 14028, 2008, 347, 10844, 1475, 298, 629, 531, 2065, 7335, 540, 717, 28145, 1475, 1240, 1475, 14991, 2008, 347, 11463, 1475, 1805, 269, 595, 2988, 6929, 540, 4165, 1470, 577, 1475, 866, 1475, 8182, 2008, 347, 4817, 1475, 300, 20723, 538, 4165, 1470, 577, 1475, 866, 1475, 14065, 2008, 347, 9834, 1475, 306, 13396, 17243, 1831, 12142, 1475, 866, 1475, 14321, 2008, 347, 9032, 1475, 763, 8109, 2871, 24473, 966, 573, 5984, 543, 519, 28763, 531, 1695, 1475, 736, 1475, 13932, 2008, 347, 7176, 1475, 288, 25491, 1369, 513, 25491, 1475, 736, 1475, 13679, 2008, 347, 4200, 1475, 288, 3578, 11208, 540, 519, 834, 313, 2129, 541, 257, 1475, 736, 1475, 15757, 2008, 347, 1911, 1475, 2419, 531, 6767, 545, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 4275, 3380, 540, 7186, 257, 607, 851, 540, 834, 16300, 13493, 1315, 16241, 1315, 4168, 1315, 3163, 1299, 7186, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 1134, 607, 13383, 630, 294, 2940, 9366, 267, 5507, 267, 24545, 1040, 4014, 621, 729, 3533, 17049, 676, 2199, 8128, 538, 5333, 267, 621, 729, 18562, 1558, 609, 1390, 1967, 269, 769, 476, 11260, 280, 267, 519, 1032, 540, 922, 1101, 8313, 267, 827, 476, 736, 267, 1822, 12215, 941, 9102, 267, 9645, 585, 519, 942, 269, 634, 1967, 729, 971, 602, 621, 729, 1065, 11781, 539, 476, 1428, 2053, 602, 1482, 1032, 543, 1776, 476, 2412, 2053, 1063, 476, 11260, 280, 543, 476, 10082, 279, 267, 519, 1650, 1373, 556, 1740, 539, 676, 5292, 3279, 790, 2394, 476, 12293, 272, 269, 15443, 728, 729, 849, 3533, 12261, 267, 708, 18469, 543, 1612, 617, 1221, 563, 8601, 713, 1967, 267, 5292, 3279, 790, 1705, 711, 3409, 4589, 1222, 269, 1261, 1705, 2705, 6085, 593, 519, 960, 267, 1657, 782, 1202, 12371, 593, 519, 635, 14037, 2511, 609, 799, 646, 15189, 547, 581, 2404, 281, 968, 296, 331, 535, 2246, 1285, 7546, 829, 706, 682, 2283, 13248, 544, 685, 3430, 1026, 21838, 524, 8291, 1071, 25771, 517, 1676, 773, 269, 808, 685, 2967, 267, 12603, 340, 5789, 857, 267, 632, 803, 4068, 999, 23909, 892, 1496, 2108, 3080, 814, 547, 723, 4503, 835, 779, 12823, 547, 14487, 713, 18174, 880, 1145, 547, 803, 269, 594, 723, 267, 9684, 2696, 267, 1732, 1919, 547, 19582, 1250, 3007, 892, 316, 630, 290, 1258, 330, 543, 12113, 8681, 267, 533, 269, 476, 14917, 1040, 1261, 11911, 519, 960, 547, 606, 10995, 812, 945, 5206, 621, 609, 519, 2832, 693, 533, 3183, 1187, 693, 535, 8962, 269, 22419, 3533, 31665, 267, 2705, 267, 602, 5292, 3279, 790, 729, 519, 2278, 269, 1656, 267, 607, 2038, 607, 519, 22733, 2540, 267, 3524, 1564, 540, 15443, 728, 941, 2854, 267, 1079, 540, 799, 3838, 519, 1482, 3804, 281, 547, 1039, 606, 10678, 602, 3177, 513, 3152, 2631, 540, 19479, 269, 5292, 3279, 790, 779, 10678, 729, 2808, 1932, 23589, 543, 6727, 676, 1082, 3988, 563, 290, 663, 728, 610, 19630, 1143, 269, 3690, 3836, 689, 519, 4436, 676, 3220, 269, 25453, 269, 5822, 3487, 630, 12293, 271, 1070, 729, 2693, 2854, 676, 519, 705, 321, 2946, 667, 3121, 675, 985, 630, 14378, 280, 268, 9692, 274, 1070, 513, 4583, 708, 527, 1807, 540, 5292, 3279, 790, 269, 898, 5205, 519, 9035, 540, 15443, 728, 538, 16157, 543, 16862, 1141, 646, 13290, 547, 1711, 606, 18211, 7095, 22871, 585, 5128, 269, 1677, 798, 713, 267, 646, 2242, 1010, 2012, 543, 3587, 2052, 583, 5459, 269, 634, 2669, 540, 595, 684, 1122, 27475, 3947, 1864, 519, 4316, 547, 19533, 519, 15626, 24789, 334, 728, 269, 4256, 2648, 568, 12042, 1229, 585, 513, 4090, 267, 855, 789, 1869, 1439, 909, 796, 1746, 693, 519, 1439, 269, 901, 3524, 601, 5693, 17591, 338, 519, 5837, 540, 519, 6093, 5292, 3279, 790, 534, 9661, 269, 634, 2034, 267, 15443, 728, 538, 16862, 267, 610, 519, 19630, 1143, 540, 12968, 652, 4658, 267, 729, 3370, 538, 476, 12293, 278, 267, 26687, 3585, 269, 634, 1650, 22281, 338, 519, 1650, 5143, 538, 519, 1101, 3524, 601, 267, 855, 23297, 547, 1020, 811, 7184, 519, 1272, 540, 15443, 728, 1851, 519, 28665, 543, 1010, 11401, 609, 519, 15806, 9410, 543, 14639, 11219, 659, 13196, 267, 799, 4016, 2047, 547, 681, 28907, 879, 563, 2026, 2484, 607, 519, 708, 14591, 941, 7255, 267, 4589, 693, 519, 942, 23699, 5292, 3279, 790, 779, 1967, 267, 2921, 607, 789, 4682, 4798, 610, 4025, 267, 3197, 610, 14501, 267, 7446, 610, 711, 547, 21352, 519, 3520, 5558, 269, 1280, 3236, 267, 15443, 728, 267, 522, 340, 561, 262, 32723, 331, 11726, 557, 5918, 3886, 641, 515, 669, 337, 18863, 1329, 630, 9965, 278, 264, 729, 513, 4168, 4528, 540, 519, 3312, 269, 1306, 2038, 607, 476, 9965, 271, 338, 267, 14364, 849, 9676, 519, 1650, 267, 899, 538, 16902, 990, 28839, 623, 9820, 328, 10314, 779, 3751, 31187, 538, 24131, 630, 9965, 277, 264, 799, 9450, 2390, 519, 627, 15501, 673, 543, 16750, 3344, 540, 519, 5708, 269, 769, 519, 13524, 543, 14206, 5553, 1007, 14624, 4797, 547, 2408, 267, 971, 607, 15182, 731, 12672, 7322, 781, 1566, 699, 1777, 320, 3370, 538, 476, 4198, 277, 269, 634, 1650, 729, 849, 21235, 593, 5496, 676, 4670, 20447, 7439, 6975, 12539, 25699, 14513, 538, 476, 3422, 271, 269, 769, 713, 4670, 13886, 15443, 728, 267, 610, 519, 19630, 626, 540, 519, 3828, 12351, 11416, 267, 519, 16502, 779, 9035, 1472, 2342, 2253, 1310, 2324, 607, 513, 9856, 538, 513, 7890, 3786, 282, 519, 3932, 540, 519, 4670, 3788, 21705, 547, 602, 540, 519, 1433, 269, 15443, 728, 814, 849, 1044, 3144, 909, 543, 1427, 1245, 676, 8642, 3209, 1235, 540, 519, 8938, 23867, 2540, 269, 11835, 2335, 590, 30138, 779, 14906, 819, 729, 3370, 538, 476, 1220, 274, 267, 543, 32068, 19784, 717, 20187, 5548, 335, 5889, 339, 675, 543, 18466, 13660, 325, 3757, 928, 3370, 513, 3126, 1063, 476, 1220, 279, 543, 476, 1001, 274, 269, 15443, 728, 779, 1967, 568, 1813, 538, 1804, 851, 547, 519, 8471, 1143, 540, 519, 1650, 543, 519, 4798, 8214, 1194, 676, 519, 2278, 998, 1010, 2189, 20451, 543, 8325, 2631, 540, 9644, 563, 288, 10045, 17495, 267, 7788, 1157, 267, 2274, 5188, 9158, 1664, 546, 753, 8350, 733, 525, 454, 1372, 5292, 3279, 790, 269, 8303, 281, 661, 1885, 19598, 542, 267, 476, 1001, 271, 563, 290, 1258, 330, 267, 12832, 15614, 543, 12113, 8681, 267, 715, 987, 531, 773, 267, 15776, 476, 7742, 20735, 632, 15443, 728, 269, 700, 624, 999, 1696, 556, 937, 999, 269, 7200, 341, 664, 281, 661, 1885, 3212, 4394, 267, 476, 1001, 275, 563, 299, 2678, 8175, 267, 18264, 1329, 928, 267, 968, 14157, 3279, 790, 269, 15443, 728, 269, 9990, 513, 11355, 546, 1601, 1512, 632, 14639, 7108, 345, 1074, 5608, 538, 4469, 2459, 541, 542, 8807, 337, 267, 476, 1001, 276, 563, 3682, 653, 267, 32157, 267, 5651, 874, 860, 773, 5918, 733, 324, 647, 643, 328, 632, 15776, 17992, 725, 964, 733, 525, 544, 2925, 4068, 5060, 632, 661, 269, 2725, 2280, 1231, 7288, 269, 700, 685, 18863, 8775, 7293, 324, 1696, 1462, 860, 773, 5918, 733, 324, 267, 8303, 281, 1530, 340, 559, 267, 476, 3192, 271, 563, 306, 663, 8175, 267, 1325, 664, 267, 968, 291, 1601, 1512, 269, 2274, 1257, 324, 679, 5133, 5608, 538, 15443, 728, 522, 340, 561, 685, 9953, 574, 1143, 324, 281, 8303, 267, 11829, 574, 731, 269, 476, 1220, 274, 269, 533, 269, 476, 14631, 268, 25248, 563, 14157, 3279, 790, 269, 15443, 728, 522, 340, 561, 685, 9953, 574, 529, 830, 269, 8303, 281, 2274, 700, 643, 516, 632, 623, 28970, 267, 476, 1960, 276, 563, 290, 2787, 281, 1744, 8145, 267, 7665, 269, 834, 290, 663, 728, 2668, 634, 16520, 15610, 269, 3689, 3370, 476, 5400, 5988, 476, 1001, 279, 1496, 10059, 2517, 4178, 7456, 527, 1890, 322, 2593, 270, 874, 335, 270, 1873, 3311, 21703, 286, 13440, 284, 25152, 261, 308, 2839, 284, 2568, 280, 272, 267, 15600, 476, 6021, 5412, 476, 1708, 273, 20426, 0, 14722, 1265, 1412, 13702, 262, 4396, 2601, 1946, 1216, 20374, 593, 9370, 454, 6124, 16156, 2433, 1703, 723, 1044, 1713, 4191, 6029, 972, 1223, 581, 1804, 12084, 543, 12647, 593, 519, 9370, 269, 1809, 1141, 1705, 789, 979, 286, 12824, 949, 723, 606, 2626, 538, 741, 5767, 4681, 827, 519, 4414, 4541, 563, 6097, 547, 519, 1007, 4681, 267, 3744, 7866, 602, 1216, 593, 519, 4541, 949, 723, 1044, 865, 8898, 538, 676, 519, 10007, 563, 28095, 2090, 1185, 10645, 602, 519, 1216, 729, 25626, 883, 2230, 676, 3532, 3859, 12798, 950, 519, 4541, 781, 6419, 2361, 25540, 267, 1247, 930, 729, 9676, 538, 1016, 1606, 16577, 4672, 563, 7712, 789, 941, 711, 18617, 609, 519, 3105, 2090, 267, 3173, 2322, 3621, 20592, 547, 519, 1449, 563, 10454, 2164, 7000, 602, 519, 1666, 5306, 7725, 593, 9370, 666, 3180, 5111, 476, 1839, 2600, 811, 1216, 982, 1346, 593, 3047, 267, 543, 607, 513, 1267, 16668, 519, 1216, 689, 519, 6742, 1014, 2627, 883, 922, 9703, 2437, 1767, 513, 3948, 689, 10228, 2160, 267, 1141, 3744, 3576, 851, 538, 519, 1353, 563, 2026, 593, 3047, 267, 3114, 29056, 543, 8652, 31516, 6547, 666, 1689, 6886, 538, 4224, 689, 3819, 547, 1216, 24481, 267, 1353, 1071, 27236, 13744, 654, 1228, 540, 10228, 5143, 589, 17025, 563, 3719, 6742, 1014, 4224, 267, 1317, 540, 513, 1114, 5888, 267, 568, 1454, 1732, 693, 3257, 865, 563, 22746, 7725, 949, 723, 865, 8898, 538, 1216, 689, 519, 4541, 563, 763, 5767, 4681, 689, 519, 1353, 723, 1044, 3370, 538, 519, 4760, 7186, 269, 0, 306, 7238, 330, 940, 281, 834, 290, 5055, 525, 15952, 339, 4840, 295, 8636, 1228, 476, 272, 26627, 338, 1846, 538, 928, 327, 18033, 961, 1228, 3921, 523, 1849, 320, 525, 15952, 339, 563, 272, 269, 14847, 1438, 4959, 270, 3951, 4640, 2433, 589, 12007, 1353, 827, 4959, 270, 3951, 4640, 543, 922, 3310, 593, 1870, 4640, 538, 1507, 3028, 16904, 300, 698, 3563, 268, 6269, 338, 1846, 267, 670, 7238, 7714, 330, 565, 534, 1775, 808, 7238, 333, 330, 7238, 4771, 270, 296, 295, 295, 267, 769, 8971, 1731, 282, 670, 7238, 7714, 330, 565, 534, 1775, 808, 7238, 333, 330, 7238, 4771, 270, 296, 295, 295, 267, 769, 8971, 1731, 454, 21579, 2006, 325, 3430, 940, 2433, 6176, 1062, 630, 3041, 1070, 538, 824, 1913, 2780, 2213, 3292, 543, 3498, 602, 513, 2754, 3096, 568, 513, 3844, 851, 538, 922, 13539, 269, 6176, 2029, 630, 3951, 264, 568, 519, 8800, 543, 5989, 602, 606, 4959, 3096, 269, 4959, 543, 8668, 568, 1287, 1644, 547, 1142, 824, 543, 1896, 946, 519, 2165, 4959, 270, 3951, 547, 4766, 519, 1079, 1913, 269, 700, 383, 482, 306, 631, 2207, 0, 2005, 779, 3339, 547, 2243, 952, 7314, 22426, 26416, 906, 4724, 741, 5411, 1317, 649, 782, 1118, 9073, 543, 798, 1919, 602, 649, 25442, 569, 26845, 269, 634, 1434, 3377, 568, 602, 7314, 9156, 689, 9678, 13685, 3833, 3728, 267, 865, 707, 2078, 609, 707, 3032, 568, 4440, 711, 2469, 547, 7985, 1279, 3856, 2360, 269, 19949, 666, 11677, 3877, 540, 25442, 9073, 543, 32657, 2355, 585, 909, 547, 476, 1626, 3108, 269, 1924, 1279, 607, 707, 3284, 1108, 568, 7608, 267, 513, 3032, 4465, 1406, 3180, 621, 1996, 596, 952, 596, 19451, 569, 1900, 593, 922, 2766, 269, 19949, 267, 593, 519, 824, 1688, 267, 11677, 8823, 540, 28877, 543, 5134, 13015, 936, 942, 563, 288, 3032, 5673, 593, 596, 547, 7639, 282, 4061, 267, 621, 9327, 1406, 581, 538, 922, 1655, 1719, 547, 2057, 596, 936, 1945, 7168, 2370, 269, 634, 3032, 779, 1272, 1223, 267, 2705, 267, 581, 538, 8594, 607, 513, 1267, 540, 1978, 6381, 269, 769, 1931, 547, 2149, 7314, 689, 2800, 267, 891, 18473, 2621, 616, 18385, 6740, 538, 741, 1279, 3856, 3965, 563, 2710, 7314, 31799, 543, 7340, 888, 6624, 540, 721, 723, 519, 7301, 3661, 602, 7314, 2760, 533, 30972, 1480, 1098, 326, 11306, 269, 634, 6114, 540, 7314, 547, 1373, 1964, 11712, 1996, 741, 786, 693, 513, 18915, 5604, 941, 6594, 676, 11930, 10960, 3163, 10263, 269, 19949, 14201, 1406, 2938, 547, 2057, 1880, 1004, 610, 6753, 607, 513, 1267, 269, 1924, 513, 3032, 4465, 1406, 22426, 32659, 1813, 547, 513, 2582, 18473, 2680, 269, 19949, 616, 9141, 676, 741, 6668, 26756, 267, 865, 621, 779, 711, 9670, 602, 789, 723, 2178, 8823, 540, 1312, 2168, 543, 5626, 8194, 269, 32506, 602, 14907, 2125, 891, 26756, 786, 3251, 538, 513, 3032, 779, 3965, 585, 513, 1360, 1279, 942, 269, 634, 3032, 786, 4061, 979, 547, 1022, 13080, 547, 2061, 2417, 4598, 563, 763, 1249, 602, 789, 3314, 799, 16973, 723, 7874, 543, 4652, 7037, 7314, 2306, 713, 2312, 950, 1079, 7314, 4339, 269, 2659, 3032, 786, 2057, 513, 1880, 8265, 952, 621, 814, 1044, 14213, 539, 972, 856, 540, 1582, 25535, 3569, 269, 19949, 3314, 945, 13000, 873, 1134, 543, 945, 13000, 873, 14605, 267, 799, 568, 2147, 547, 875, 3425, 543, 535, 3894, 2170, 609, 835, 1776, 269, 589, 3032, 786, 1935, 519, 1101, 543, 3251, 2476, 689, 519, 2034, 563, 3674, 1250, 3032, 14834, 693, 803, 888, 290, 1846, 616, 11630, 547, 2110, 3856, 13347, 267, 3226, 952, 596, 979, 1996, 741, 16858, 269, 4014, 3032, 2623, 666, 2408, 4351, 267, 7314, 723, 2189 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 13628, 689, 2136, 2276, 5600, 540, 24929, 5518, 27211, 19994, 657, 328, 267, 568, 519, 8473, 2022, 19459, 519, 1079, 6401, 553, 269, 2290, 540, 519, 1034, 21376, 543, 693, 519, 1482, 942, 5906, 10665, 538, 519, 1158, 563, 1103, 7754, 22861, 329, 558, 267, 827, 476, 2568, 12919, 5087, 540, 1530, 9567, 267, 519, 6186, 626, 823, 729, 9896, 602, 8694, 519, 2112, 1063, 3162, 543, 3345, 9705, 538, 476, 4198, 274, 269, 898, 568, 4092, 538, 519, 865, 10777, 2048, 12047, 4106, 541, 1242, 7997, 8730, 1100, 812, 779, 2244, 267, 606, 1858, 602, 2185, 12919, 2647, 543, 476, 24487, 1279, 543, 799, 267, 5103, 922, 2012, 267, 568, 835, 540, 519, 1034, 5702, 16913, 4525, 538, 519, 1158, 269, 898, 568, 519, 1747, 538, 519, 1158, 609, 519, 5207, 5834, 540, 7980, 1107, 3162, 11114, 267, 3345, 11114, 543, 1977, 10136, 2427, 676, 2427, 910, 267, 9604, 543, 12617, 15183, 829, 4009, 11281, 269, 1703, 616, 865, 1082, 602, 621, 1131, 1491, 476, 4968, 1296, 547, 4894, 873, 563, 3719, 621, 568, 10502, 713, 1360, 2027, 1915, 602, 2306, 621, 865, 10694, 269, 23897, 1343, 540, 1004, 2097, 547, 519, 1747, 1169, 1032, 269, 769, 1249, 267, 8436, 4947, 689, 519, 5045, 1590, 1101, 1129, 513, 3561, 9963, 873, 602, 519, 3643, 568, 968, 550, 1359, 883, 513, 20935, 8513, 543, 519, 7872, 540, 5945, 610, 2669, 3034, 1103, 4641, 267, 3592, 4986, 568, 2451, 540, 519, 2025, 8498, 602, 18799, 16395, 547, 1439, 519, 3540, 2112, 1063, 519, 1079, 2477, 5722, 5756, 3516, 269, 1717, 267, 519, 2679, 267, 3710, 607, 513, 3090, 540, 519, 6186, 626, 823, 543, 2663, 26948, 519, 13458, 7467, 676, 3345, 9705, 267, 814, 1044, 12873, 563, 3080, 540, 519, 21056, 540, 519, 1747, 568, 513, 1507, 4544, 2679, 269, 898, 568, 513, 10554, 4055, 267, 1141, 1896, 4708, 12909, 1063, 519, 1079, 6401, 553, 723, 3144, 1747, 269, 589, 1507, 4055, 3710, 593, 519, 12270, 1899, 1063, 519, 1079, 6401, 553, 1107, 519, 476, 4343, 628, 6252, 1107, 865, 602, 1346, 10024, 621, 666, 3444, 519, 8473, 1063, 519, 1079, 2477, 607, 789, 1847, 689, 835, 2427, 540, 519, 4055, 547, 519, 824, 563, 32292, 22861, 329, 558, 24643, 2923, 3007, 689, 942, 547, 942, 1813, 547, 922, 7580, 4087, 269, 769, 476, 1001, 280, 267, 621, 18799, 519, 5870, 1063, 1287, 6261, 637, 1211, 540, 519, 2136, 2276, 267, 18496, 11686, 267, 543, 3345, 11114, 6205, 13690, 808, 784, 268, 4462, 269, 898, 729, 513, 8978, 8666, 269, 8550, 1354, 814, 606, 1977, 7022, 1305, 3723, 593, 3345, 11114, 3037, 269, 634, 5870, 5818, 539, 13922, 585, 4708, 267, 855, 18562, 1312, 3401, 4797, 741, 28332, 20116, 2394, 519, 1439, 540, 519, 17044, 23626, 267, 2141, 609, 519, 6046, 3463, 538, 519, 4282, 269, 11686, 543, 13690, 8959, 547, 3858, 593, 519, 3345, 779, 598, 947, 687, 543, 519, 17666, 540, 24476, 13684, 593, 519, 12512, 585, 922, 23828, 543, 6046, 1646, 3292, 563, 13126, 281, 5487, 7638, 323, 611, 0, 292, 1338, 13921, 691, 657, 1098, 1597, 657, 639, 568, 513, 13869, 6438, 2166, 322, 611, 538, 519, 1920, 2098, 600, 807, 576, 2801, 267, 609, 513, 22297, 3892, 538, 7799, 16647, 334, 267, 3162, 4000, 269, 4706, 1455, 4408, 267, 3525, 329, 611, 10202, 263, 8072, 338, 264, 2166, 322, 611, 610, 3525, 329, 611, 10202, 779, 13869, 267, 782, 8775, 547, 519, 4775, 15913, 540, 519, 31123, 9254, 1004, 267, 519, 14175, 19803, 267, 4171, 22420, 2012, 568, 3525, 329, 611, 10202, 269, 634, 15596, 29084, 2282, 513, 14860, 630, 1993, 3735, 513, 2470, 15395, 264, 799, 568, 29822, 4104, 539, 609, 891, 2166, 322, 6758, 267, 799, 789, 6870, 543, 3180, 10723, 269, 634, 2249, 2012, 1098, 1597, 657, 639, 4016, 547, 519, 5386, 3060, 540, 15532, 1063, 519, 1292, 15532, 269, 1452, 666, 581, 2938, 950, 519, 6978, 568, 4371, 909, 547, 519, 1769, 563, 763, 3529, 9428, 909, 547, 12964, 7397, 7381, 609, 513, 5394, 17657, 7184, 20639, 538, 513, 2121, 1540, 4806, 269, 901, 568, 7715, 2740, 676, 5176, 2786, 267, 21743, 267, 838, 4176, 533, 4883, 622, 3762, 909, 547, 1079, 543, 513, 3368, 7397, 1279, 269, 634, 6978, 7410, 616, 3376, 267, 519, 1647, 3283, 909, 547, 827, 1614, 17744, 538, 8700, 267, 5594, 17208, 543, 609, 1507, 8589, 4522, 269, 5565, 547, 2185, 1804, 25862, 616, 28703, 538, 519, 2295, 540, 519, 3762, 269, 634, 4775, 13409, 949, 3914, 32210, 17744, 1279, 267, 9260, 13977, 2185, 13532, 543, 723, 13085, 10538, 268, 1042, 5452, 269, 0, 1432, 3123, 808, 3147, 3716, 818, 6605, 4331, 888, 2005, 568, 3361, 676, 6553, 540, 519, 4745, 23555, 543, 7766, 4017, 549, 6776, 1427, 3555, 267, 4929, 12804, 333, 541, 11539, 540, 519, 11263, 267, 998, 1558, 659, 17369, 2684, 531, 1052, 531, 4745, 630, 300, 9573, 264, 1016, 12999, 566, 267, 5097, 540, 519, 8258, 543, 2370, 1922, 5424, 269, 17434, 338, 538, 519, 3952, 267, 19704, 543, 17525, 949, 849, 1205, 4299, 563, 1692, 568, 808, 3147, 3716, 818, 6605, 4331, 5701, 888, 15430, 1836, 267, 519, 3797, 585, 29273, 568, 15061, 543, 1759, 593, 519, 946, 540, 1875, 3620, 768, 4689, 4550, 13611, 5061, 267, 1970, 13066, 540, 29416, 8803, 6950, 267, 8715, 582, 516, 343, 622, 543, 1884, 2711, 541, 10118, 563, 1432, 779, 519, 3017, 1063, 12263, 543, 818, 6605, 4331, 888, 6635, 6605, 4331, 281, 901, 568, 519, 2165, 585, 1022, 2068, 540, 707, 10549, 269, 24930, 949, 946, 621, 3079, 540, 968, 541, 9374, 1848, 28039, 15436, 1355, 12263, 568, 2808, 606, 12982, 818, 6605, 4331, 1317, 621, 2306, 707, 10549, 28332, 563, 1432, 568, 6348, 14058, 633, 12263, 888, 15239, 268, 14058, 633, 2068, 267, 3989, 607, 519, 9000, 540, 1022, 11761, 593, 2473, 17530, 1310, 476, 276, 1296, 540, 17241, 267, 729, 11117, 538, 476, 4335, 2550, 269, 4329, 543, 3606, 20241, 1519, 24318, 1783, 2762, 630, 4785, 264, 543, 17223, 29821, 630, 6311, 264, 941, 5340, 538, 1346, 2550, 5870, 519, 25046, 7355, 563, 1432, 568, 808, 3147, 3716, 22775, 640, 888, 297, 3147, 3716, 818, 6605, 4331, 630, 297, 288, 264, 568, 513, 20443, 1106, 540, 12263, 602, 7620, 7472, 31181, 22775, 885, 540, 519, 3946, 543, 3952, 630, 1652, 4749, 19704, 267, 17525, 543, 21389, 1235, 264, 543, 666, 1291, 547, 2144, 657, 687, 602, 616, 1114, 689, 1346, 538, 27131, 12263, 630, 6938, 1916, 3674, 808, 3147, 3716, 779, 818, 6605, 4331, 31181, 888, 297, 3147, 3716, 779, 818, 6605, 4331, 568, 513, 632, 14127, 267, 2048, 516, 23983, 685, 543, 1875, 268, 14058, 633, 2783, 4171, 9860, 568, 476, 275, 269, 273, 260, 1851, 2550, 609, 18212, 9964, 2295, 2068, 630, 305, 8461, 1916, 3674, 818, 6605, 4331, 513, 1826, 540, 12263, 888, 6635, 6605, 4331, 568, 513, 4745, 2068, 267, 540, 799, 12263, 568, 513, 1826, 269, 1488, 6605, 987, 625, 666, 581, 2404, 609, 513, 22104, 11043, 630, 29188, 264, 4524, 610, 606, 3968, 267, 971, 607, 25425, 2068, 563, 4692, 596, 723, 17241, 1510, 11761, 888, 5575, 267, 519, 4527, 540, 2144, 657, 687, 568, 711, 1808, 585, 17241, 282, 789, 616, 849, 1336, 538, 2635, 5396, 543, 949, 2049, 538, 824, 4745, 3676, 971, 607, 623, 338, 288, 267, 29314, 543, 12627, 818, 6605, 987, 625, 971, 607, 30456, 1547, 0, 1432, 568, 513, 3119, 11186, 5868, 888, 288, 11186, 5868, 568, 513, 1592, 540, 2009, 2175, 602, 2671, 519, 1482, 2589, 602, 596, 4330, 547, 707, 3782, 8502, 269, 901, 1592, 568, 711, 707, 3803, 5868, 267, 855, 513, 3069, 607, 547, 1018, 568, 5732, 4929, 707, 2589, 563, 1432, 568, 11186, 5868, 538, 3782, 888, 288, 11186, 5868, 5654, 693, 519, 2009, 4713, 602, 1223, 581, 4929, 707, 2589, 269, 898, 1419, 3322, 1896, 4255, 269, 1452, 4255, 666, 4341, 856, 2175, 543, 5924, 3313, 952, 596, 991, 811, 4152, 563, 1432, 616, 930, 1806, 11186, 5868, 888, 14300, 540, 11186, 21904, 454, 268, 30446, 1928, 269, 30446, 1928, 568, 513, 10835, 602, 666, 723, 1082, 3123, 269, 2368, 616, 5266, 7646, 267, 6466, 1866, 616, 3978, 543, 2154, 7525, 2564, 3007, 563, 268, 10361, 2851, 269, 10361, 2851, 616, 513, 1455, 3390, 563, 268, 853, 6593, 269, 853, 6593, 3340, 5401, 5868, 543, 2126, 563, 1432, 568, 513, 11186, 5868, 538, 8808, 888, 763, 11186, 5868, 5956, 607, 513, 1592, 540, 1455, 543, 711, 865, 1455, 21904, 602, 616, 2404, 609, 513, 1880, 8783, 24255, 610, 10835, 269, 901, 1184, 2636, 519, 4359, 2259, 12016, 547, 2015, 513, 21318, 540, 954, 22366, 2014, 268, 543, 13716, 7399, 563, 3963, 568, 11186, 5868, 1271, 538, 3782, 888, 17653, 908, 513, 11186, 5868, 2443, 602, 568, 267, 3384, 513, 1592, 540, 519, 2009, 2175, 602, 1522, 3132, 513, 3461, 779, 2589, 543, 4191, 2443, 568, 606, 1271, 851, 540, 4791, 7744, 269, 898, 6087, 3617, 4152, 547, 4341, 856, 7399, 543, 6166, 513, 3803, 5868, 563, 1432, 616, 519, 11186, 5868, 540, 21061, 888, 347, 15761, 571, 6261, 592, 14004, 19715, 1475, 17843, 658, 23369, 2008, 30106, 21310, 31397, 1488, 628, 761, 338, 1475, 289, 17424, 23170, 12263, 267, 15554, 690, 719, 2008, 18871, 11384, 32471, 748, 3590, 16515, 828, 17533, 1475, 289, 17424, 23971, 4345, 267, 10194, 23971, 4345, 267, 29363, 4345, 2008, 30106, 21310, 17533, 3131, 527, 517, 4345, 1475, 289, 17424, 829, 527, 517, 4345, 267, 5312, 829, 32050, 531, 31533, 2008, 1432, 568, 519, 3017, 1063, 513, 5868, 543, 513, 11186, 5868, 888, 288, 11186, 5868, 1797, 602, 972, 568, 811, 982, 835, 7872, 585, 707, 5868, 269, 589, 4387, 1590, 16174, 1063, 2789, 21904, 547, 3313, 519, 2953, 835, 543, 1118, 606, 3617, 2126, 1544, 269, 1280, 3236, 267, 972, 616, 4867, 1100, 2978, 4255, 547, 2697, 4965, 269, 0, 18128, 1828, 543, 5274, 9177, 454, 259, 866, 269, 4817, 16179, 543, 14678, 4647, 713, 1957, 1631, 454, 1607, 1957, 11828, 519, 5098, 602, 1480, 11976, 814, 1044, 26203, 543, 12012, 267, 1813, 547, 519, 3356, 540, 1480, 2528, 2094, 519, 942, 540, 2038, 15867, 5336, 1725, 517, 812, 538, 2342, 543, 602, 2094, 1480, 6090, 3313, 519, 2619, 540, 2067, 5542, 267, 1480, 6304, 543, 2528, 814, 20427, 12012, 741, 2949, 2497, 269, 634, 1957, 849, 12116, 875, 4719, 12879, 568, 1034, 5702, 5532, 547, 513, 1297, 540, 2824, 1480, 5615, 543, 3676, 543, 875, 28466, 3409, 602, 1480, 2528, 949, 8197, 581, 3743, 585, 13302, 519, 2557, 540, 1480, 4720, 3294, 563, 5804, 519, 7433, 281, 257, 10870, 6016, 849, 15387, 602, 6211, 4720, 543, 1480, 2528, 2671, 513, 1808, 1826, 540, 4183, 1634, 607, 608, 2194, 566, 267, 513, 1184, 17929, 513, 834, 560, 4450, 610, 3926, 568, 9862, 676, 1480, 7919, 610, 676, 2470, 547, 1685, 824, 3252, 711, 5497, 676, 922, 17082, 610, 10672, 1701, 634, 1655, 1383, 540, 713, 1184, 568, 519, 4720, 540, 27634, 547, 7953, 538, 24991, 269, 19676, 32141, 602, 834, 2467, 814, 1044, 7521, 3823, 519, 4128, 585, 519, 4720, 540, 7953, 257, 543, 7727, 835, 2009, 2601, 1759, 593, 606, 2038, 11556, 602, 834, 325, 8460, 1185, 547, 3802, 593, 2244, 547, 1205, 689, 835, 11432, 547, 1776, 1701, 1717, 267, 519, 4720, 540, 7953, 689, 513, 1826, 540, 1710, 547, 606, 4890, 536, 3415, 16289, 720, 834, 323, 573, 711, 2154, 519, 11601, 540, 1082, 1007, 6090, 2437, 1813, 547, 519, 6228, 540, 834, 295, 2135, 6090, 799, 1852, 519, 4806, 540, 1560, 851, 1646, 538, 1034, 2831, 257, 630, 866, 268, 736, 1040, 4840, 25456, 540, 17796, 13242, 912, 268, 23720, 267, 24527, 269, 5274, 12472, 281, 1323, 4985, 547, 2494, 781, 11154, 725, 269, 9628, 281, 6153, 25548, 710, 267, 476, 2735, 275, 563, 268, 23101, 267, 667, 12991, 269, 5274, 22319, 12472, 269, 1715, 3840, 281, 19739, 5308, 11660, 14539, 267, 476, 1960, 279, 563, 268, 19676, 267, 26304, 589, 269, 15610, 540, 12472, 269, 1715, 3840, 281, 6744, 5658, 7734, 267, 476, 1220, 278, 563, 268, 834, 32178, 29861, 9469, 281, 634, 8682, 880, 22319, 1701, 6490, 525, 281, 634, 1715, 1234, 2364, 2209, 269, 5769, 269, 5412, 476, 1960, 280, 269, 8158, 689, 5291, 2517, 4178, 269, 745, 6883, 327, 14396, 3820, 8276, 655, 7497, 7933, 1177, 9469, 332, 655, 525, 269, 16814, 563, 268, 27672, 267, 9410, 269, 5274, 14600, 13578, 7434, 5027, 543, 519, 12472, 540, 30941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2026, 649, 723, 2907, 12193, 713, 19619, 540, 4267, 2433, 8614, 16985, 344, 9293, 5426, 476, 29204, 267, 649, 786, 1683, 596, 519, 2626, 538, 713, 1888, 269, 2311, 519, 4090, 519, 3014, 568, 1869, 20823, 1134, 1312, 782, 3457, 2010, 607, 621, 2488, 513, 2189, 1523, 540, 30573, 609, 11108, 12449, 269, 1635, 4730, 621, 267, 596, 786, 1205, 596, 324, 2262, 543, 31851, 1983, 1332, 707, 1702, 256, 1411, 949, 4194, 519, 2157, 676, 4466, 519, 2262, 12826, 610, 519, 31851, 2243, 563, 297, 324, 16985, 344, 9293, 5426, 476, 29204, 12226, 10778, 268, 16907, 517, 3026, 583, 1258, 12650, 675, 10657, 12984, 31603, 1306, 1323, 21885, 9615, 1280, 1452, 22320, 2195, 769, 634, 11020, 454, 268, 4438, 4256, 476, 2412, 13012, 769, 634, 8187, 15227, 267, 634, 25232, 589, 974, 901, 968, 289, 1348, 892, 6904, 26665, 3245, 24656, 454, 268, 769, 901, 22505, 267, 589, 8225, 32712, 23516, 631, 697, 12096, 454, 268, 3143, 17389, 267, 898, 12984, 634, 8168, 5742, 24912, 19797, 9549, 1715, 4944, 1653, 454, 268, 1452, 8479, 4658, 5808, 2961, 787, 11619, 1137, 15907, 634, 7167, 20738, 3657, 27603, 4400, 3427, 9947, 12542, 454, 268, 901, 5450, 28351, 27100, 1772, 13242, 1677, 5269, 5696, 650, 5050, 9791, 27413, 769, 28769, 24394, 1299, 570, 3796, 454, 9202, 1377, 779, 4267, 616, 1175, 1934, 2433, 8614, 16985, 344, 9293, 5426, 476, 17168, 454, 14188, 1411, 585, 9683, 8614, 16985, 344, 12226, 269, 0, 763, 2339, 540, 3274, 2713, 1927, 267, 593, 1312, 513, 2518, 543, 513, 2199, 4336, 267, 568, 7294, 676, 519, 2686, 267, 2804, 267, 3909, 267, 6639, 267, 543, 8733, 2591, 602, 649, 3068, 538, 2221, 779, 1158, 269, 1323, 3872, 1700, 874, 3342, 28441, 1491, 593, 891, 10848, 18922, 883, 18759, 593, 267, 543, 8942, 547, 2626, 267, 519, 2055, 602, 891, 2591, 6318, 269, 1215, 568, 519, 4587, 5108, 547, 6338, 513, 1007, 5108, 883, 2221, 779, 1158, 543, 547, 2048, 2181, 6768, 685, 621, 585, 519, 1158, 547, 2097, 286, 1548, 2631, 666, 581, 2016, 547, 971, 4367, 543, 2048, 2181, 1706, 566, 685, 286, 2107, 538, 519, 811, 2489, 2474, 540, 26179, 5576, 548, 328, 1069, 12329, 267, 2048, 1432, 8197, 1281, 519, 4587, 5108, 20053, 547, 798, 609, 519, 7820, 5108, 888, 763, 7418, 538, 713, 1433, 1107, 8385, 4843, 1282, 519, 476, 1691, 628, 10554, 540, 519, 4139, 8416, 540, 11096, 14279, 540, 4065, 1107, 2232, 513, 3376, 2039, 540, 10952, 2152, 1644, 547, 519, 2243, 540, 519, 3872, 2078, 1063, 5481, 2221, 269, 634, 10952, 2079, 6035, 676, 519, 4589, 538, 713, 4320, 5932, 23761, 267, 711, 1152, 585, 824, 15806, 540, 2069, 267, 855, 849, 585, 3609, 15670, 543, 9439, 269, 1358, 4196, 607, 1045, 14591, 267, 711, 1152, 585, 2417, 3206, 855, 849, 585, 556, 4621, 18790, 3872, 2853, 282, 543, 1034, 11932, 267, 789, 5352, 1007, 2055, 267, 585, 1312, 2221, 779, 543, 14182, 779, 5481, 269, 901, 1433, 729, 8385, 3370, 607, 513, 2027, 3390, 540, 15979, 543, 4065, 563, 8368, 540, 12937, 454, 7072, 281, 6196, 543, 1007, 5481, 538, 519, 476, 2641, 560, 2540, 281, 13346, 8916, 540, 2069, 853, 1030, 534, 681, 4821, 2131, 619, 454, 272, 269, 634, 6392, 540, 645, 843, 2426, 281, 3872, 2853, 538, 2038, 6689, 2069, 4168, 324, 16399, 454, 273, 269, 2201, 630, 874, 3342, 28441, 264, 7092, 543, 711, 6616, 835, 779, 1259, 827, 630, 344, 564, 264, 538, 3872, 6138, 281, 31400, 547, 4168, 324, 16399, 853, 1030, 534, 681, 4821, 2131, 619, 454, 274, 269, 5403, 12221, 1968, 2069, 7917, 589, 269, 16026, 454, 275, 269, 21846, 547, 30822, 11856, 543, 29076, 3347, 281, 519, 5683, 1871, 540, 1920, 3965, 3933, 3821, 2549, 611, 7236, 454, 276, 269, 1401, 9151, 532, 519, 9854, 6280, 281, 538, 3406, 540, 513, 18465, 29176, 540, 1382, 19953, 331, 548, 667, 685, 295, 334, 652, 543, 570, 903, 517, 661, 269, 11066, 454, 277, 269, 9210, 626, 2438, 6568, 538, 1126, 516, 2130, 543, 2069, 918, 2967, 9710, 560, 1335, 651, 454, 278, 269, 1280, 519, 19160, 540, 4708, 281, 4509, 519, 16982, 540, 4708, 543, 2069, 20855, 752, 334, 8211, 454, 279, 269, 4065, 538, 2053, 540, 3728, 1565, 281, 519, 2104, 540, 519, 1153, 3967, 7136, 3832, 548, 514, 543, 8575, 6914, 3244, 976, 454, 280, 269, 14171, 513, 4960, 281, 2069, 585, 12716, 10385, 543, 519, 9880, 540, 2528, 10878, 32634, 590, 7159, 334, 454, 1015, 269, 10886, 2069, 543, 519, 14897, 766, 540, 519, 2797, 7225, 603, 2672, 20811, 454, 1556, 269, 31131, 7355, 585, 519, 1523, 540, 1480, 30436, 281, 519, 1101, 1900, 538, 21108, 30436, 607, 606, 4998, 2832, 540, 2069, 22118, 928, 590, 269, 26728, 6975, 267, 667, 648, 339, 808, 269, 632, 681, 8500, 614, 543, 1656, 619, 5576, 1074, 601, 454, 17556, 325, 534, 681, 4821, 2131, 619, 568, 606, 21133, 7905, 543, 519, 10361, 540, 519, 12524, 585, 4065, 543, 5980, 630, 10932, 6828, 4065, 267, 9177, 543, 5980, 1070, 693, 918, 308, 2274, 340, 1597, 267, 19934, 269, 3571, 2487, 1382, 814, 5631, 5059, 593, 513, 2565, 7634, 540, 519, 11407, 540, 2048, 8001, 532, 685, 543, 519, 2385, 1700, 18876, 2078, 267, 543, 593, 519, 2048, 6244, 698, 16479, 685, 4644, 540, 3872, 1489, 269, 21298, 267, 646, 814, 3323, 23712, 609, 3220, 269, 10878, 23449, 32095, 326, 5459, 593, 15388, 4453, 15342, 540, 2048, 8001, 532, 685, 538, 2686, 11269, 267, 971, 607, 4670, 269, 0, 8923, 946, 713, 32165, 547, 13712, 610, 3095, 547, 713, 6221, 912, 17359, 27034, 2594, 454, 347, 26501, 6155, 525, 5524, 269, 629, 5724, 1475, 16954, 2827, 540, 15672, 2749, 540, 700, 558, 2946, 13102, 946, 4357, 1216, 16004, 32440, 543, 19401, 585, 741, 2757, 2732, 269, 1809, 891, 7297, 616, 6849, 27643, 5533, 269, 1677, 5031, 27643, 5533, 593, 519, 2298, 540, 891, 7297, 267, 519, 1610, 4815, 2275, 8707, 18572, 540, 476, 2918, 1216, 5439, 689, 19401, 543, 2185, 1216, 5439, 689, 16004, 32440, 540, 589, 2998, 11726, 22271, 784, 334, 1858, 729, 5340, 269, 4935, 519, 6482, 540, 6724, 971, 607, 9063, 267, 5122, 19428, 267, 543, 7777, 1436, 814, 1044, 3254, 602, 476, 2190, 260, 540, 519, 19401, 723, 15755, 9063, 267, 476, 2918, 260, 723, 5122, 2932, 8481, 543, 7777, 3074, 2362, 982, 5227, 4441, 269, 5811, 540, 1216, 19401, 543, 16004, 32440, 5439, 729, 849, 1336, 24277, 2157, 909, 547, 8370, 2053, 519, 14959, 4441, 267, 543, 519, 9830, 540, 1291, 267, 20017, 26606, 267, 543, 19695, 267, 6606, 267, 909, 689, 476, 4281, 267, 476, 2918, 282, 476, 5655, 269, 2537, 282, 543, 476, 1428, 269, 3393, 2053, 519, 14959, 4441, 269, 634, 2157, 540, 11379, 543, 9770, 616, 6606, 909, 547, 476, 280, 2053, 543, 476, 272, 269, 279, 2053, 519, 3943, 4441, 269, 634, 4879, 540, 1072, 4220, 5532, 547, 519, 4527, 540, 10250, 8407, 971, 607, 4401, 2073, 1291, 267, 20017, 26606, 2073, 543, 19695, 593, 519, 1072, 540, 5095, 4951, 602, 5103, 891, 15780, 616, 26130, 2073, 741, 946, 6799, 1100, 4220, 13954, 523, 318, 4785, 2008, 347, 26501, 16553, 915, 1475, 294, 1037, 4248, 267, 2657, 24093, 267, 29895, 8407, 267, 589, 2998, 11726, 1107, 2098, 784, 334, 1475, 523, 318, 4785, 2008, 347, 26501, 26644, 1475, 290, 2752, 3722, 9898, 3041, 9569, 11682, 22076, 2975, 302, 4211, 295, 8379, 296, 12702, 292, 21180, 21180, 2969, 16692, 623, 5357, 299, 28513, 24315, 700, 2464, 661, 4041, 300, 19006, 13138, 3722, 2464, 631, 4953, 17920, 296, 27309, 23370, 661, 288, 308, 311, 590, 5495, 9898, 6938, 2562, 2464, 16692, 700, 26041, 630, 306, 11070, 570, 8104, 302, 264, 2433, 31909, 667, 308, 19532, 2752, 2316, 2207, 17985, 302, 292, 2098, 2177, 32271, 1475, 523, 318, 4785, 2008, 347, 7343, 8986, 538, 26888, 10573, 22711, 715, 4113, 2190, 2008, 2005, 2114, 538, 667, 22129, 616, 6870, 676, 10677, 267, 609, 782, 2924, 11603, 267, 8259, 6382, 8612, 269, 0, 12901, 541, 18377, 779, 476, 1691, 2929, 4009, 12919, 540, 2244, 568, 3592, 4625, 4988, 676, 513, 1906, 4627, 547, 1425, 531, 8536, 7397, 540, 5394, 4672, 269, 634, 2837, 1934, 814, 6603, 14263, 476, 2004, 5232, 267, 543, 3388, 814, 4503, 21755, 1934, 269, 1809, 1175, 538, 713, 6777, 344, 1747, 267, 3744, 18417, 1336, 519, 13792, 10720, 269, 634, 1858, 540, 713, 13792, 10720, 568, 936, 476, 273, 267, 4335, 4009, 12919, 563, 1103, 476, 3422, 271, 267, 5545, 16159, 8776, 4512, 9916, 519, 6482, 1239, 543, 1336, 602, 519, 1216, 2837, 896, 519, 6094, 4672, 4494, 593, 519, 2627, 540, 519, 10720, 729, 827, 476, 271, 17622, 269, 1306, 519, 3178, 2799, 267, 519, 1216, 2837, 4797, 547, 2333, 269, 2311, 513, 3178, 540, 476, 1626, 7397, 267, 519, 1216, 2837, 9782, 547, 476, 278, 269, 278, 17622, 269, 901, 2837, 7283, 20406, 547, 513, 3178, 540, 476, 2412, 7397, 269, 12989, 476, 2412, 7397, 267, 519, 1216, 2837, 7444, 14380, 269, 1677, 513, 3178, 540, 476, 2004, 7397, 267, 519, 2333, 538, 1216, 2837, 10393, 14556, 1881, 269, 1677, 519, 3178, 540, 476, 5780, 7397, 267, 519, 1216, 2837, 729, 607, 1164, 607, 476, 1839, 17622, 269, 0, 289, 611, 7362, 666, 2014, 1390, 9636, 269, 1306, 4166, 607, 596, 1930, 707, 5023, 513, 25858, 540, 3983, 17627, 568, 5950, 269, 634, 28067, 610, 18473, 9329, 32338, 908, 689, 707, 5023, 666, 1118, 1004, 21183, 2476, 689, 596, 267, 4929, 1390, 19849, 14536, 269, 14068, 7362, 666, 581, 3361, 676, 4057, 9882, 563, 763, 4551, 538, 519, 5023, 31693, 519, 1426, 8356, 1375, 1115, 2451, 23578, 593, 519, 14779, 543, 519, 1394, 540, 519, 11469, 4611, 538, 513, 3983, 17627, 269, 1403, 707, 15108, 3350, 568, 12150, 610, 711, 9488, 621, 666, 2014, 3983, 7362, 269, 18320, 1454, 13342, 666, 581, 1776, 2601, 269, 634, 9329, 2501, 689, 519, 14779, 543, 4522, 267, 865, 621, 568, 1271, 547, 1491, 1434, 1416, 540, 873, 269, 1452, 2241, 543, 20027, 524, 999, 786, 1034, 6157, 9004, 519, 1966, 563, 19522, 1677, 595, 675, 14068, 22165, 327, 454, 2710, 3502, 5901, 2659, 631, 1926, 16959, 454, 2710, 711, 1577, 1279, 11996, 1714, 8985, 1510, 4189, 610, 6704, 269, 5901, 707, 5023, 19872, 689, 942, 547, 942, 2901, 676, 6704, 1216, 610, 521, 6235, 23238, 269, 7377, 1945, 883, 707, 5023, 547, 544, 4875, 543, 547, 5352, 19975, 3976, 7303, 519, 4551, 689, 8023, 593, 519, 4666, 2281, 23578, 547, 519, 14779, 543, 1750, 4060, 543, 689, 6721, 4731, 617, 712, 563, 16605, 2659, 26280, 826, 11162, 454, 763, 11469, 267, 2523, 519, 15493, 851, 568, 606, 5140, 9960, 2666, 585, 4551, 952, 1426, 5536, 616, 2451, 593, 519, 2627, 269, 634, 4551, 1459, 538, 519, 5023, 2322, 10915, 344, 713, 1426, 17579, 532, 18086, 30851, 563, 9928, 7275, 519, 11469, 3232, 6640, 543, 3781, 547, 4894, 519, 27967, 15098, 593, 621, 269, 1411, 666, 798, 621, 609, 707, 11453, 610, 513, 11469, 15777, 269, 2368, 26814, 723, 513, 838, 27419, 2627, 593, 519, 1394, 585, 7738, 519, 11469, 543, 1750, 4060, 563, 16605, 634, 631, 1926, 21690, 3911, 2454, 2060, 9315, 600, 558, 454, 25205, 600, 558, 568, 513, 1360, 1455, 24996, 269, 4706, 3114, 7135, 616, 15934, 267, 1884, 1047, 10364, 543, 2061, 3676, 269, 11408, 1832, 513, 1906, 10540, 338, 13561, 538, 707, 17927, 610, 1625, 572, 269, 7377, 513, 10540, 609, 519, 2960, 883, 707, 5023, 269, 9197, 2313, 621, 1360, 9900, 609, 707, 4522, 547, 5305, 519, 23599, 1898, 11041, 7444, 563, 16605, 647, 9535, 7444, 267, 7432, 621, 689, 835, 32336, 547, 519, 824, 269, 5269, 621, 2063, 267, 693, 2547, 585, 606, 5662, 1354, 24948, 519, 2898, 269, 2060, 707, 11469, 6299, 519, 26939, 540, 519, 2960, 593, 519, 10733, 1899, 547, 4894, 15799, 563, 2304, 1047, 539, 568, 1360, 23599, 814, 513, 1297, 540, 1898, 11041, 543, 2337, 12536, 269, 898, 814, 513, 6653, 3638, 6492, 269, 898, 568, 2442, 569, 13881, 607, 513, 5023, 18589, 615, 267, 538, 922, 2067, 1106, 610, 22862, 609, 4006, 269, 4258, 342, 513, 1377, 23188, 540, 2067, 11953, 2131, 1094, 684, 325, 1310, 12899, 543, 12129, 1169, 1554, 547, 1832, 707, 5023, 4195, 543, 1863, 689, 30851, 563, 8110, 325, 2541, 2659, 22165, 327, 2060, 29092, 454, 307, 6160, 328, 568, 513, 10723, 2030, 538, 3127, 267, 4922, 1031, 2094, 5553, 267, 538, 32318, 20940, 545 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 811, 982, 476, 736, 1296, 3516, 269, 2311, 602, 10554, 267, 594, 729, 18822, 2614, 5873, 3220, 269, 700, 7637, 2904, 3717, 269, 2701, 729, 513, 1390, 1459, 518, 267, 543, 6157, 1500, 606, 12705, 593, 803, 269, 594, 1869, 723, 519, 1433, 602, 729, 2016, 693, 602, 10554, 543, 723, 5219, 547, 621, 1082, 2053, 936, 519, 1296, 563, 2005, 729, 693, 713, 10554, 602, 594, 1101, 4121, 875, 547, 946, 834, 26511, 856, 562, 1149, 257, 547, 2638, 519, 4267, 547, 8691, 543, 6498, 2042, 269, 594, 1185, 2760, 4862, 540, 713, 1505, 950, 594, 729, 513, 2875, 267, 855, 1373, 513, 1007, 4116, 267, 594, 2186, 540, 10924, 621, 729, 513, 1505, 1134, 8153, 547, 824, 3610, 907, 2483, 293, 718, 11242, 5853, 2336, 29557, 1153, 1053, 1869, 899, 1346, 1187, 12119, 2238, 18737, 994, 6624, 1296, 3516, 630, 296, 723, 1100, 2856, 875, 1082, 264, 594, 1031, 513, 3113, 1957, 267, 4806, 7801, 2534, 609, 1250, 1647, 17469, 619, 269, 594, 1810, 1405, 3314, 1141, 519, 2856, 3357, 689, 267, 543, 594, 1185, 1256, 16618, 602, 594, 2479, 1031, 621, 2336, 4913, 267, 594, 729, 3168, 998, 606, 2025, 834, 21776, 257, 3758, 547, 1265, 930, 2093, 585, 513, 1187, 2534, 585, 513, 1016, 1554, 267, 543, 1336, 519, 911, 6203, 543, 1806, 538, 1250, 3758, 563, 2691, 594, 1336, 621, 267, 594, 667, 2839, 3314, 602, 519, 3214, 2731, 2972, 713, 2534, 269, 3733, 1647, 30595, 1185, 1187, 2870, 519, 3270, 543, 14045, 1018, 4778, 547, 1331, 269, 1924, 267, 594, 10356, 2326, 630, 23054, 1957, 267, 911, 6203, 267, 11954, 22796, 267, 6094, 3109, 12508, 267, 4070, 1957, 264, 543, 2451, 873, 585, 519, 1016, 267, 609, 519, 8846, 2630, 912, 8794, 2659, 5384, 6356, 1947, 543, 31478, 569, 454, 16352, 519, 9985, 24507, 2979, 1362, 2807, 7474, 781, 1044, 1250, 3804, 267, 1032, 1310, 1032, 269, 2368, 6011, 267, 538, 1647, 1153, 267, 621, 814, 9846, 6836, 547, 859, 1228, 803, 2336, 1103, 824, 9708, 267, 594, 4312, 3838, 602, 594, 6026, 10026, 2979, 585, 1296, 267, 543, 2141, 1185, 606, 5662, 585, 2979, 1362, 269, 2334, 5662, 5795, 803, 519, 942, 594, 4941, 547, 723, 1434, 3636, 13522, 1169, 1554, 630, 27271, 2921, 909, 3368, 519, 1362, 609, 835, 1880, 1966, 602, 3366, 547, 3606, 4901, 270, 2169, 3290, 256, 5148, 519, 5662, 5795, 803, 519, 942, 547, 979, 936, 6780, 519, 1259, 594, 4941, 547, 269, 1656, 621, 1869, 5795, 803, 942, 585, 513, 1007, 3992, 543, 2259, 563, 3719, 950, 594, 3893, 3323, 3450, 2979, 693, 519, 1647, 1153, 267, 609, 834, 4510, 27324, 2381, 1393, 5712, 267, 602, 729, 782, 936, 269, 630, 5445, 5749, 1405, 2731, 476, 4510, 3764, 910, 519, 1053, 1205, 1100, 942, 1063, 5049, 585, 15175, 267, 865, 15175, 942, 2501, 856, 540, 519, 476, 4510, 8094, 21430, 2979, 10473, 960, 538, 476, 2412, 18826, 1362, 5712, 454, 296, 6026, 10026, 1153, 585, 476, 1321, 1296, 543, 594, 6068, 1250, 2979, 7740, 630, 528, 2979, 10473, 267, 607, 596, 1522, 1289, 873, 25631, 1358, 941, 1390, 269, 4569, 1362, 729, 2141, 606, 5662, 267, 543, 649, 1185, 2947, 5904, 538, 519, 4928, 267, 865, 2348, 513, 2780, 4099, 729, 2141, 606, 4781, 563, 10190, 594, 6410, 547, 1647, 1153, 269, 4569, 1362, 729, 476, 4510, 3764, 630, 2381, 639, 942, 585, 15175, 5049, 32465, 810, 811, 899, 476, 2412, 3764, 1040, 1215, 1223, 594, 3514, 811, 982, 1079, 2979, 6728, 32186, 538, 513, 476, 2412, 18826, 1974, 11631, 594, 1279, 539, 585, 3625, 20319, 630, 712, 8664, 814, 2760, 1185, 621, 264, 1862, 7474, 1131, 1118, 621, 865, 1454, 4443, 547, 2347, 2979, 4099, 32186, 256, 1280, 519, 1101, 1032, 610, 1079, 540, 1647, 1153, 267, 594, 2186, 540, 5795, 909, 593, 519, 2856, 540, 2979, 7740, 1862, 1492, 2238, 594, 4941, 1053, 547, 2347, 3576, 3476, 982, 476, 736, 3764, 269, 1924, 267, 602, 1131, 581, 2614, 942, 547, 9096, 1079, 2979, 6728, 32186, 267, 17692, 1053, 3323, 519, 2034, 789, 15336, 538, 519, 7450, 543, 1287, 1185, 1100, 942, 547, 2973, 909, 5924, 1146, 1125, 693, 519, 1439, 540, 1362, 269, 1809, 5555, 594, 2877, 547, 1205, 1250, 2979, 7740, 1394, 267, 865, 594, 4603, 539, 609, 513, 1906, 1114, 1305, 13522, 1354, 594, 15354, 593, 513, 2497, 602, 1568, 563, 2690, 11819, 2561, 21090, 3018, 267, 594, 2813, 1079, 17676, 1966, 6061, 2979, 14743, 630, 16269, 616, 538, 519, 1482, 7300, 3758, 264, 910, 789, 666, 581, 1031, 547, 4001, 1966, 6061, 2994, 267, 581, 1031, 607, 513, 4099, 2534, 267, 610, 581, 1031, 607, 513, 8737, 2038, 2534, 269, 1879, 2347, 267, 789, 666, 581, 3773, 547, 1053, 262, 12622, 619, 270, 5793, 5562, 31940, 547, 581, 1031, 607, 8100, 782, 1032, 563, 296, 4126, 596, 666, 946, 873, 256, 3807, 4945, 519, 3239, 547, 4647, 563, 2414, 1224, 1985, 912, 306, 16577, 1858, 568, 513, 971, 513, 1187, 1888, 547, 2263, 538, 519, 1647, 1153, 2979, 4928, 256, 1677, 2731, 1174, 1018, 2627, 1858, 1797, 267, 1053, 991, 547, 2170, 609, 4890, 1614, 8820, 3615, 269, 6969, 649, 2911, 827, 519, 2979, 12596, 610, 875, 547, 5173, 267, 649, 6108, 942, 12423, 875, 547, 1265, 2627, 1858, 538, 938, 1378, 2081, 563, 296, 2285, 1053, 1169, 6377, 3688, 547, 960, 609, 269, 15380, 267, 649, 946, 1587, 10833, 630, 5550, 9771, 929, 3359, 264, 609, 1114, 7516, 267, 543, 594, 2307, 519, 1053, 547, 14650, 543, 1287, 2721, 1018, 519, 10833, 1131, 1413, 899, 952, 789, 941, 3144, 6306, 543, 9788, 6366, 269, 4107, 1053, 1491, 827, 476, 276, 3764, 547, 2347, 741, 12400, 267, 4470, 593, 875, 2143, 789, 3442, 547, 581, 267, 543, 585, 519, 1034, 851, 267, 789, 798, 513, 1360, 1434, 2816, 5373, 519, 24437, 540, 519, 10833, 269, 8921, 267, 594, 723, 873, 6108, 513, 1906, 3764, 9236, 741, 24437, 609, 1895, 2818, 267, 14045, 2436, 1346, 24437, 616, 10257, 11269, 540, 519, 1843, 630, 16838, 952, 789, 616, 6537, 513, 2370, 8335, 1070, 543, 8159, 2436, 4896, 7902, 547, 581, 7508, 4376, 630, 16341, 1053, 786, 2721, 1152, 2947, 5011, 267, 543, 741, 1895, 2818, 616, 2111, 547, 948, 873, 4137, 856, 1018, 781, 7508, 1916, 26213, 7146, 268, 2662, 7416, 518, 1773, 1824, 538, 476, 277, 628, 6103, 454, 26213, 7146, 19351, 7416, 518, 13602, 616, 513, 6216, 1007, 1523, 585, 1250, 476, 277, 628, 17263, 2979, 1053, 267, 543, 950, 476, 277, 628, 17603, 616, 1101, 5189, 547, 873, 267, 789, 3100, 513, 2370, 17559, 269, 1717, 267, 609, 930, 11295, 8846, 267, 1053, 6952, 593, 1360, 3533, 563, 22826, 13340, 7146, 268, 2662, 7416, 518, 1773, 1824, 454, 296, 2736, 1524, 519, 4216, 7146, 19351, 7416, 518, 4729, 883, 476, 276, 3268, 267, 538, 1931, 547, 4729, 519, 476, 276, 2798, 2877, 547, 1711, 519, 4216, 543, 31953, 619, 912, 272, 264, 11352, 519, 1239, 1305, 689, 2547, 547, 6574, 563, 273, 264, 10576, 519, 10545, 543, 4102, 2418, 282, 1747, 1346, 2798, 593, 519, 1297, 1899, 630, 629, 913, 519, 1297, 1899, 1916, 274, 264, 10576, 519, 11667, 543, 1747, 602, 1448, 593, 519, 1297, 1899, 563, 20756, 972, 256, 594, 6415, 11875, 773, 910, 1934, 547, 2671, 2979, 1187, 267, 1655, 2853, 267, 543, 2502, 267, 4101, 267, 2653, 1790, 10517, 2238, 2093, 256, 0, 763, 667, 1090, 1738, 19120, 885, 2986, 634, 3883, 2986, 20450, 4534, 1635, 281, 5261, 19395, 26427, 454, 7034, 659, 476, 4649, 281, 25546, 630, 20809, 476, 6245, 279, 264, 533, 269, 476, 27898, 454, 763, 667, 1090, 1738, 19120, 885, 2986, 634, 3883, 2986, 20450, 454, 293, 718, 5211, 267, 7136, 563, 763, 1433, 540, 519, 20450, 540, 519, 24347, 956, 568, 513, 1686, 269, 898, 568, 267, 2705, 267, 3810, 7499, 538, 2497, 269, 898, 814, 547, 513, 8037, 4110, 1978, 7907, 540, 519, 12416, 269, 4706, 2012, 16167, 621, 547, 12416, 267, 585, 12416, 814, 585, 922, 10058, 2361, 519, 6041, 540, 2962, 269, 634, 2262, 968, 323, 18769, 892, 568, 689, 513, 5259, 2262, 2495, 968, 534, 957, 1848, 1323, 1898, 4183, 538, 12416, 568, 513, 4729, 2443, 320, 9322, 11006, 782, 6411, 543, 2621, 1927, 269, 634, 1433, 540, 519, 20450, 814, 713, 4183, 607, 3982, 569, 607, 1022, 12416, 2479, 2854, 563, 763, 1101, 27552, 18627, 5330, 547, 519, 7139, 4084, 8984, 540, 12416, 267, 5627, 267, 607, 8912, 267, 2606, 6898, 267, 1519, 968, 1492, 4729, 1848, 18948, 949, 581, 1500, 267, 689, 519, 968, 23220, 9220, 639, 21940, 892, 540, 3331, 484, 338, 577, 2643, 639, 547, 9956, 779, 8361, 476, 279, 269, 769, 519, 6679, 540, 713, 1433, 568, 1336, 1945, 899, 519, 5559, 520, 626, 1268, 2801, 799, 5526, 693, 519, 6679, 540, 5559, 553, 269, 634, 575, 626, 540, 968, 1492, 4729, 892, 568, 538, 519, 21632, 14235, 267, 968, 31800, 4927, 4309, 1379, 950, 519, 10513, 26415, 568, 2097, 2390, 596, 282, 543, 9493, 4927, 581, 1250, 22168, 1312, 538, 13243, 267, 543, 538, 782, 7225, 2801, 320, 543, 6341, 7559, 267, 543, 21349, 519, 19039, 2865, 2694, 540, 519, 3618, 1848, 3143, 12416, 6585, 547, 922, 4729, 609, 811, 7499, 1198, 982, 1281, 519, 1433, 540, 20450, 547, 519, 2324, 856, 540, 713, 23318, 269, 1306, 519, 1686, 23131, 267, 11051, 543, 741, 798, 902, 616, 4547, 4464, 543, 12628, 2687, 547, 741, 6935, 547, 713, 796, 4328, 19039, 766, 269, 3683, 543, 936, 519, 4633, 610, 2680, 568, 265, 321, 3754, 547, 513, 2212, 538, 519, 2262, 968, 342, 5893, 2223, 543, 519, 10513, 13336, 568, 2760, 4503, 8289, 540, 607, 519, 16779, 8116, 269, 634, 1646, 540, 519, 11097, 2287, 2039, 540, 7198, 24481, 568, 4371, 547, 2429, 538, 7453, 29077, 547, 968, 1492, 4729, 1848, 634, 1101, 5722, 11271, 616, 2016, 547, 10207, 538, 13243, 269, 769, 519, 6679, 540, 519, 21632, 3184, 968, 16269, 941, 782, 16559, 13383, 2429, 519, 4525, 540, 7225, 2801, 320, 543, 6341, 7559, 2223, 543, 968, 20852, 10876, 840, 2286, 519, 2262, 1848, 634, 7004, 540, 8834, 2501, 1985, 267, 543, 1010, 3702, 550, 7198, 24481, 547, 22918, 3796, 630, 1015, 269, 476, 4375, 267, 476, 6078, 1040, 2353, 713, 568, 3810, 10565, 538, 922, 29271, 4259, 269, 8834, 779, 851, 538, 519, 1433, 19411, 919, 538, 1010, 598, 5477, 4633, 1354, 519, 13243, 14643, 267, 543, 1010, 14897, 766, 568, 6825, 676, 519, 28813, 6429, 540, 9101, 689, 7890, 267, 519, 22545, 693, 519, 18172, 6806, 7450, 540, 519, 11755, 24578, 7566, 267, 543, 519, 936, 2809, 539, 10910, 18649, 1369, 4881, 547, 2995, 519, 32467, 6512, 1247, 968, 30681, 4797, 5679, 12177, 892, 256, 16393, 4376, 581, 811, 7499, 982, 713, 2239, 267, 610, 1223, 972, 581, 513, 811, 10565, 10071, 6378, 2390, 547, 1665, 14897, 766, 689, 519, 10207, 888, 7034, 659, 476, 4649, 281, 25546, 630, 20809, 476, 6245, 279, 264, 533, 269, 476, 4649, 277, 454, 19602, 590, 4954, 814, 1044, 5189, 7930, 267, 538, 513, 1034, 5578, 995, 1259, 689, 513, 10565, 1448, 540, 2070, 269, 2060, 519, 14897, 766, 540, 8834, 267, 968, 289, 7568, 629, 553, 543, 590, 4954, 892, 630, 289, 7568, 629, 553, 1373, 2141, 535, 328, 2483, 12812, 1934, 547, 24049, 0, 7197, 18563, 941, 1500, 609, 519, 2856, 547, 3142, 3356, 547, 8103, 267, 711, 547, 2800, 621, 269, 1717, 267, 602, 568, 711, 2141, 875, 1919, 2490, 856, 269, 589, 6305, 910, 663, 8909, 268, 1383, 540, 713, 666, 581, 1336, 538, 519, 1272, 540, 21238, 17587, 269, 4107, 1004, 917, 1010, 2012, 607, 519, 17082, 540, 519, 17587, 13458, 16101, 1510, 513, 2034, 2219, 607, 547, 1018, 22755, 1864, 547, 1118, 971, 606, 8366, 563, 763, 13249, 5168, 568, 602, 21238, 17587, 11827, 3846, 924, 609, 519, 8247, 547, 948, 609, 4853, 3096, 269, 2991, 7487, 519, 3520, 16781, 748, 6165, 540, 1010, 8798, 547, 6146, 865, 1082, 1004, 865, 3362, 646, 5030, 519, 1964, 540, 1010, 1272, 896, 519, 2597, 540, 606, 782, 21791, 26845, 269, 2334, 3366, 1864, 547, 946, 1010, 19539, 547, 1711, 606, 8366, 585, 1346, 945, 723, 2944, 6909, 1919, 585, 8103, 543, 4708, 563, 16446, 323, 3218, 18763, 295, 2426, 787, 279, 2412, 4941, 547, 917, 824, 18563, 602, 1558, 513, 5739, 10678, 543, 4280, 912, 18658, 8798, 814, 2944, 811, 2800, 982, 1434, 24350, 17746, 656, 2923, 11784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1373, 4371, 713, 1032, 8119, 2008, 16085, 584, 325, 619, 4856, 1676, 1475, 6124, 11730, 540, 29273, 3008, 2008, 21270, 9545, 334, 1475, 763, 14977, 926, 17650, 525, 2008, 347, 10112, 344, 6929, 5080, 325, 532, 24762, 1475, 288, 16684, 3778, 540, 519, 28435, 6929, 454, 306, 3779, 28792, 781, 8416, 454, 19064, 2794, 5455, 519, 11730, 1475, 306, 7428, 1299, 17897, 2008, 347, 12988, 547, 519, 8892, 1475, 763, 12650, 675, 540, 21157, 1299, 519, 14271, 617, 540, 3057, 661, 3333, 334, 1195, 578, 2008, 347, 1607, 10432, 538, 3778, 1475, 297, 24944, 667, 1941, 320, 2008, 347, 9773, 9725, 540, 15638, 1475, 295, 2335, 756, 531, 1325, 330, 13757, 538, 9628, 454, 10112, 344, 6929, 17976, 538, 13814, 454, 5472, 4544, 6402, 2429, 713, 3390, 818, 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, 5664, 8109, 1299, 6259, 1977, 1315, 2782, 543, 18366, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 8836, 24322, 256, 5620, 596, 2479, 2219, 827, 875, 519, 9413, 596, 4585, 267, 519, 2575, 596, 6432, 547, 267, 543, 519, 2835, 596, 1224, 616, 782, 2813, 286, 1452, 3029, 540, 9913, 543, 1148, 616, 851, 540, 1018, 649, 1289, 2686, 6080, 269, 1358, 3337, 938, 4555, 267, 2418, 267, 543, 4978, 827, 519, 1158, 1472, 721, 269, 2913, 781, 4685, 883, 713, 4241, 1888, 1927, 2439, 1262, 1432, 616, 8836, 24322, 15140, 5331, 6972, 1524, 513, 14297, 2749, 8265, 4904, 609, 15945, 267, 1142, 9513, 1114, 3688, 899, 9660, 267, 19297, 267, 9162, 267, 610, 3381, 3756, 269, 2353, 891, 2472, 948, 2995, 2984, 827, 1585, 4529, 267, 5389, 267, 543, 2833, 269, 8625, 267, 789, 1711, 513, 7524, 13795, 540, 1480, 5876, 1107, 602, 781, 1018, 649, 1611, 950, 649, 2911, 827, 2686, 6080, 2439, 4322, 6080, 4125, 1004, 945, 3132, 267, 15814, 267, 543, 8532, 1919, 899, 8874, 267, 7641, 2982, 267, 2575, 267, 6752, 267, 3308, 6575, 267, 3332, 267, 543, 1256, 3381, 3756, 256, 1635, 6313, 891, 3860, 1568, 5702, 267, 649, 666, 1451, 865, 1454, 827, 6000, 543, 1866, 269, 15346, 267, 1318, 2496, 1262, 3963, 798, 8836, 24322, 17460, 15140, 3086, 596, 1522, 4898, 267, 1946, 1058, 594, 1416, 827, 2686, 6080, 286, 4270, 267, 972, 616, 1896, 4128, 256, 3689, 267, 789, 2992, 938, 2486, 1394, 693, 721, 267, 6029, 1312, 922, 5898, 543, 922, 20924, 269, 1280, 1383, 267, 513, 7260, 1223, 5031, 6411, 540, 11587, 1851, 2828, 267, 1247, 513, 1433, 949, 5490, 883, 2152, 540, 8635, 5185, 676, 12790, 2950, 780, 30772, 267, 2686, 6080, 1450, 721, 547, 2769, 938, 9163, 269, 6056, 827, 707, 5172, 22459, 610, 7376, 1107, 741, 960, 4440, 24889, 609, 596, 1317, 621, 14753, 547, 1945, 1369, 3054, 269, 898, 2337, 596, 1745, 4448, 547, 1866, 945, 2671, 2147, 4690, 610, 10080, 780, 8310, 855, 711, 2547, 267, 2686, 6080, 3565, 3648, 547, 2199, 543, 2518, 11615, 269, 3509, 6009, 7048, 593, 891, 9922, 267, 971, 607, 9858, 267, 5830, 267, 12372, 267, 11051, 267, 543, 811, 269, 9578, 267, 1589, 540, 782, 519, 2724, 6170, 593, 13447, 17914, 267, 25584, 267, 610, 18297, 31941, 687, 2439, 1262, 18698, 16844, 538, 8836, 24322, 4373, 4407, 2686, 6080, 3142, 7772, 543, 6667, 267, 3006, 789, 1810, 1405, 2099, 3025, 8449, 269, 2368, 2516, 949, 581, 26173, 610, 3765, 21323, 1813, 547, 3140, 12886, 610, 11475, 269, 2334, 781, 1141, 649, 2097, 538, 256, 1306, 2104, 6800, 543, 15888, 267, 621, 781, 1898, 547, 12167, 585, 3309, 9739, 543, 2984, 269, 901, 1259, 267, 649, 666, 10802, 938, 1378, 2729, 543, 2327, 602, 1100, 835, 7959, 2451, 856, 780, 3383, 267, 1577, 781, 2322, 593, 938, 3206, 11503, 543, 4983, 519, 8748, 1158, 540, 2686, 6080, 1927, 256, 3414, 5717, 267, 2238, 267, 543, 3785, 267, 649, 3513, 2263, 1585, 3344, 540, 713, 2361, 543, 3605, 875, 789, 1764, 938, 3232, 2729, 269, 3657, 596, 4712, 286, 2913, 781, 1205, 3323, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 1098, 13694, 1576, 7710, 18765, 540, 1514, 3961, 602, 723, 6383, 2620, 543, 705, 4575, 16526, 269, 4841, 5659, 1514, 16526, 540, 19525, 267, 10168, 267, 543, 824, 8954, 633, 3889, 269, 634, 1576, 26779, 8466, 267, 5081, 1670, 267, 543, 16723, 1543, 609, 3332, 689, 14195, 543, 2637, 17462, 5525, 267, 6468, 543, 13834, 5525, 267, 7025, 5525, 267, 543, 13751, 5380, 563, 19352, 532, 593, 519, 15834, 4610, 540, 5888, 267, 1344, 7924, 267, 543, 7924, 2090, 267, 713, 1576, 786, 6338, 1053, 547, 14172, 543, 1655, 2853, 538, 23468, 1382, 543, 1603, 269, 4841, 786, 1020, 606, 1620, 540, 1344, 7924, 543, 1603, 6436, 543, 540, 9263, 23468, 5107, 269, 30318, 585, 1053, 5461, 538, 9263, 23468, 563, 1607, 1098, 13694, 1576, 568, 2966, 547, 5965, 1053, 585, 1272, 1310, 2852, 676, 24758, 3069, 883, 1272, 1983, 602, 1331, 281, 942, 2359, 267, 14375, 2792, 267, 2123, 1426, 22343, 543, 4549, 10620, 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, 24322, 257, 607, 851, 540, 834, 24719, 13316, 1315, 9012, 5525, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 10965, 7026, 7577, 814, 513, 2816, 19195, 28428, 1062, 543, 3096, 513, 24441, 16841, 2557, 1759, 593, 1463, 4074, 3620, 2293, 547, 4019, 5663, 692, 1012, 901, 5403, 13201, 476, 274, 22227, 692, 272, 269, 1396, 5414, 7666, 345, 2006, 1724, 3081, 1384, 763, 2953, 2626, 568, 4781, 630, 288, 264, 1269, 5655, 269, 876, 19247, 281, 8827, 9717, 602, 281, 634, 3964, 2557, 568, 2016, 607, 815, 476, 1911, 267, 1822, 270, 2412, 267, 1822, 815, 259, 273, 269, 276, 829, 5662, 692, 13295, 692, 763, 1942, 540, 519, 2816, 568, 3254, 568, 3254, 2630, 1384, 763, 1463, 1570, 815, 1269, 276, 267, 1822, 634, 1463, 4074, 815, 259, 13301, 271, 692, 10190, 692, 763, 5663, 23986, 731, 568, 815, 476, 6110, 2608, 476, 273, 269, 276, 815, 1269, 272, 267, 1822, 1924, 267, 634, 2698, 1942, 568, 815, 259, 276, 267, 1822, 1341, 1269, 13301, 271, 1341, 259, 1911, 271, 815, 1269, 279, 267, 6110, 1677, 1205, 938, 1770, 1942, 267, 5149, 1942, 815, 259, 279, 2412, 271, 270, 1220, 815, 1269, 5655, 269, 876, 898, 568, 1271, 547, 917, 602, 267, 519, 1297, 540, 4074, 3108, 1031, 538, 6009, 815, 11192, 4074, 1942, 24250, 622, 829, 5662, 815, 273, 267, 6110, 270, 277, 815, 476, 6110, 3108, 476, 273, 269, 556, 14833, 648, 327, 1691, 3081, 281, 901, 568, 513, 1360, 2462, 2243, 865, 594, 4465, 1405, 581, 2111, 547, 948, 579, 855, 594, 993, 2386, 2576, 786, 948, 579, 543, 949, 2696, 12196, 30610, 476, 274, 269, 512, 580, 4445, 663, 10517, 273, 323, 23331, 3081, 281, 16763, 476, 31172, 2698, 1942, 281, 259, 476, 1109, 279, 267, 6110, 692, 16215, 1942, 281, 476, 279, 267, 6110, 1315, 476, 1220, 815, 1269, 5655, 19247, 281, 11192, 1942, 281, 7698, 1341, 8534, 1341, 3683, 3650, 7698, 281, 476, 276, 267, 1822, 8534, 281, 476, 273, 267, 6110, 3683, 3650, 281, 4399, 2765, 346, 21798, 315, 281, 2986, 1422, 281, 10048, 3011, 1005, 1422, 281, 7021, 3650, 2410, 21798, 1422, 281, 291, 18182, 13157, 3683, 3650, 1422, 281, 31948, 259, 1284, 15814, 519, 4397, 1942, 936, 519, 4397, 3490, 281, 4397, 1942, 281, 476, 1911, 267, 1822, 1942, 9920, 281, 476, 2412, 267, 1822, 4074, 3108, 1942, 829, 5662, 281, 476, 1911, 267, 1822, 1315, 476, 2412, 267, 1822, 815, 476, 273, 269, 276, 24441, 16841, 3767, 649, 9062, 713, 2557, 676, 519, 3108, 540, 519, 2816, 547, 917, 11930, 3683, 3650, 281, 2816, 4074, 3108, 1535, 16841, 2557, 281, 16763, 476, 31172, 1185, 476, 273, 267, 6110, 4074, 1942, 1315, 259, 277, 2557, 829, 5662, 815, 476, 6110, 3108, 692, 6110, 1535, 476, 273, 269, 276, 815, 476, 272, 267, 1822, 692, 13707, 1942, 281, 476, 276, 267, 1822, 1341, 476, 273, 267, 6110, 1341, 476, 272, 267, 1822, 815, 476, 279, 267, 6110, 0, 32637, 267, 5181, 476, 1321, 267, 476, 1708, 275, 692, 258, 1548, 6496, 3131, 6399, 538, 4569, 2496, 1103, 6128, 267, 968, 704, 892, 2356, 1797, 6498, 610, 513, 5223, 540, 1079, 9424, 269, 1280, 1383, 267, 968, 332, 3796, 829, 5662, 892, 1797, 519, 1297, 540, 5195, 14612, 5258, 676, 519, 1297, 540, 3108, 621, 3576, 547, 2951, 602, 3845, 269, 6271, 1383, 568, 968, 322, 739, 829, 1770, 2223, 799, 1797, 519, 1942, 540, 513, 1978, 7274, 540, 513, 1587, 5258, 676, 519, 1297, 540, 4559, 538, 602, 7274, 780, 3383, 267, 538, 6310, 2474, 267, 968, 704, 892, 568, 1419, 1031, 547, 20301, 513, 6824, 610, 513, 5223, 540, 1079, 9424, 780, 1012, 6496, 829, 1611, 7941, 676, 538, 2979, 2496, 8133, 267, 538, 6128, 267, 968, 704, 892, 666, 1419, 581, 14648, 607, 968, 323, 22866, 676, 892, 610, 513, 6824, 3046, 269, 1280, 1383, 267, 968, 332, 3796, 829, 5662, 892, 666, 581, 2854, 607, 968, 332, 3796, 10774, 712, 892, 610, 968, 332, 3796, 829, 5662, 2223, 1141, 519, 6498, 3090, 968, 270, 892, 4564, 519, 5106, 540, 12270, 5195, 676, 3108, 780, 20118, 267, 968, 322, 739, 829, 1770, 892, 666, 581, 2854, 607, 968, 322, 739, 270, 22780, 892, 610, 968, 322, 739, 829, 1770, 2223, 1141, 519, 6498, 3090, 968, 270, 892, 4564, 519, 5106, 540, 12270, 519, 2698, 1942, 676, 519, 1297, 540, 4559, 780, 3383, 267, 538, 6310, 2474, 267, 968, 704, 892, 666, 1419, 581, 1031, 30430, 609, 519, 6498, 3090, 968, 270, 892, 547, 2099, 519, 5106, 540, 6498, 780, 1012, 1548, 1281, 519, 2262, 829, 1611, 538, 2557, 2042, 2496, 1103, 2557, 2042, 267, 519, 2262, 968, 704, 892, 568, 1031, 547, 5815, 519, 2078, 1063, 1079, 1114, 4559, 540, 6482, 269, 1280, 1383, 267, 538, 519, 1966, 968, 11990, 666, 1826, 476, 2412, 1913, 829, 8792, 2223, 519, 8360, 968, 704, 8792, 892, 6920, 519, 2557, 693, 799, 3627, 666, 1826, 1913, 267, 543, 12211, 519, 4559, 540, 968, 6919, 892, 543, 968, 2381, 2373, 892, 780, 763, 2262, 968, 704, 892, 568, 4122, 1031, 538, 2557, 2042, 547, 5815, 513, 5223, 610, 513, 6824, 267, 1419, 8204, 519, 2179, 540, 835, 7274, 585, 513, 2016, 2179, 540, 1776, 7274, 269, 1280, 3236, 267, 968, 332, 3796, 829, 5662, 892, 4564, 519, 1297, 540, 5195, 14612, 5258, 676, 519, 942, 3144, 538, 3108, 267, 610, 519, 2557, 693, 799, 3845, 568, 4988, 780, 1103, 5758, 267, 538, 2557, 2042, 267, 968, 704, 892, 568, 1031, 547, 5815, 519, 2078, 1063, 1079, 1114, 4559, 540, 6482, 267, 543, 4564, 513, 5223, 610, 513, 6824, 540, 835, 7274, 609, 2463, 547, 1776, 780, 1012, 3131, 538, 2979, 3090, 692, 1103, 2979, 267, 519, 3090, 585, 968, 704, 892, 568, 3335, 6719, 676, 513, 4464, 1793, 1662, 630, 270, 264, 610, 513, 8880, 1899, 269, 634, 4464, 1793, 1662, 610, 8880, 1899, 568, 1419, 1031, 547, 5815, 6498, 610, 513, 5223, 540, 1079, 9424, 780, 2690, 1383, 267, 519, 4082, 968, 332, 3796, 829, 5662, 892, 666, 581, 2854, 607, 968, 332, 3796, 10774, 712, 892, 610, 968, 332, 3796, 829, 5662, 2223, 1141, 519, 4464, 1793, 1662, 610, 8880, 1899, 4564, 519, 5106, 540, 6498, 269, 6684, 267, 519, 4082, 968, 322, 739, 829, 1770, 892, 666, 581, 2854, 607, 968, 322, 739, 270, 22780, 892, 610, 968, 322, 739, 829, 1770, 2223, 1141, 519, 4464, 1793, 1662, 610, 8880, 1899, 849, 4564, 519, 5106, 540, 6498, 780, 1103, 5758, 267, 519, 3090, 585, 968, 704, 892, 538, 2979, 568, 3335, 6719, 676, 513, 4464, 1793, 1662, 610, 513, 8880, 1899, 267, 799, 568, 1031, 547, 5815, 6498, 610, 513, 5223, 540, 1079, 9424, 780, 1012, 10390, 692, 1103, 6128, 267, 519, 2262, 968, 704, 892, 568, 1031, 547, 5815, 513, 5223, 610, 513, 6824, 540, 835, 7274, 609, 2463, 547, 1776, 269, 898, 568, 1419, 6719, 676, 513, 4464, 1793, 1662, 630, 270, 264, 610, 513, 8880, 1899, 267, 799, 568, 1031, 547, 5815, 6498, 610, 519, 2078, 1063, 1079, 1114, 4559, 540, 6482, 538, 2557, 2042, 269, 2755, 968, 704, 892, 666, 3006, 1611, 8691, 267, 4470, 593, 519, 2796, 267, 621, 1281, 711, 3622, 1611, 1840, 610, 12408, 538, 6310, 2474, 780, 303, 1177, 534, 27958, 454, 17098, 267, 3733, 1345, 623, 1177, 534, 27958, 267, 594, 3180, 606, 631, 2529, 322, 9119, 23422, 689, 670, 4932, 22849, 2316, 715, 13263, 3198, 22601, 295, 308, 294, 308, 2793, 717, 2752, 295, 310, 3201, 6167, 4353, 8991, 14510, 269, 594, 723, 476, 736, 266, 1296, 540, 1995, 538, 3450, 4569, 543, 824, 5396, 269, 0, 3519, 3200, 476, 5038, 476, 25240, 547, 9896, 9352, 267, 689, 513, 3490, 476, 1015, 8918, 1062, 9896, 8870, 1297, 692, 1692, 547, 6460, 519, 9896, 8870, 538, 8918, 1062, 630, 514, 3490, 476, 1015, 2567, 476, 5038, 476, 25240, 263, 1015, 264, 1729, 513, 9896, 9352, 692, 272, 269, 19147, 519, 1297, 14578, 676, 476, 273, 1384, 2171, 3247, 950, 649, 1205, 513, 23479, 602, 568, 3160, 547, 4642, 780, 1892, 6498, 815, 23479, 1341, 14230, 3248, 1892, 476, 5038, 476, 25240, 21680, 476, 273, 815, 476, 3953, 476, 6344, 1341, 476, 272, 3248, 1892, 476, 3953, 476, 6344, 21680, 476, 273, 815, 476, 1626, 476, 271, 2568, 1341, 476, 271, 3248, 1892, 476, 1626, 476, 271, 2568, 21680, 476, 273, 815, 476, 279, 476, 27157, 1341, 476, 271, 3248, 1892, 476, 279, 476, 27157, 21680, 476, 273, 815, 476, 275, 476, 27888, 1341, 476, 271, 3248, 1892, 476, 275, 476, 27888, 21680, 476, 273, 815, 476, 273, 476, 23669, 1341, 476, 272, 3248, 1892, 476, 273, 476, 23669, 21680, 476, 273, 815, 476, 272, 476, 19740, 1341, 476, 272, 3248, 1892, 476, 272, 476, 19740, 21680, 476, 273, 815, 476, 26341, 1341, 476, 272, 3248, 1892, 476, 26341, 21680, 476, 273, 815, 476, 7742, 1341, 476, 272, 3248, 1892, 476, 7742, 21680, 476, 273, 815, 476, 10219, 1341, 476, 271, 3248, 1892, 476, 10219, 21680, 476, 273, 815, 476, 7830, 1341, 476, 272, 3248, 1892, 476, 7830, 21680, 476, 273, 815, 476, 4029, 1341, 476, 271, 3248, 1892, 476, 4029, 21680, 476, 273, 815, 476, 1428, 1341, 476, 272, 3248, 1892, 476, 1428, 21680, 476, 273, 815, 476, 278, 1341, 476, 272, 3248, 1892, 476, 278, 21680, 476, 273, 815, 476, 274, 1341, 476, 272, 3248, 1892, 476, 274, 21680, 476, 273, 815, 476, 272, 1341, 476, 272, 3248, 1892, 476, 272, 21680, 476, 273, 815, 476, 271, 1341, 476, 272, 16963, 30238, 9896, 8870, 2338, 538, 8918, 630, 19668, 4557, 264, 10736, 547, 9896, 9352, 692, 476, 5038, 267, 25240, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 7906, 27635, 630, 14875, 307, 264, 476, 1556, 267, 9340, 267, 9826, 267, 14138, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 2004, 27635, 630, 14875, 307, 264, 910, 4029, 267, 2735, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 2004, 27635, 630, 14875, 307, 264, 910, 273, 267, 271, 4366, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 2004, 27635, 630, 14875, 307, 264, 476, 274, 267, 4489, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 5392, 27635, 630, 14875, 307, 264, 476, 2420, 267, 275, 3066, 267, 280, 1240, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 5392, 27635, 630, 14875, 307, 264, 476, 276, 267, 277, 2918, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 4366, 27635, 630, 14875, 307, 264, 476, 3393, 278, 267, 27543, 267, 3192, 267, 7176, 277, 267, 5392, 275, 267, 31275, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 5325, 27635, 630, 14875, 307, 264, 910, 273, 267, 15704, 267, 275, 4375, 267, 280, 4375, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 5325, 27635, 630, 14875, 307, 264, 476, 4510, 267, 14838, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 5379, 27635, 630, 14875, 307, 264, 476, 272, 267, 1822, 267, 8099, 267, 13647, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 3393, 27635, 630, 14875, 307, 264, 476, 272, 267, 9340, 267, 6200, 267, 6021, 278, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 3393, 27635, 630, 14875, 307, 264, 476, 7918, 267, 18733, 547, 9896, 9352, 815, 7790, 4239, 476, 2641, 476, 6187, 281, 3393, 27635, 630, 14875, 307, 264, 2353, 8918, 2318, 9981, 10736, 547, 9896, 9352, 692, 1692, 547, 6460, 9896, 9981, 689, 8918, 1062, 547, 9352, 3009, 1062, 692, 10287, 519, 3268, 2630, 547, 6460, 513, 9896, 3490, 4557, 8870, 1297, 547, 9896, 9352, 1384, 1892, 476, 272, 269, 769, 513, 9896, 9352, 267, 1101, 3787, 630, 1492, 2451, 2865, 264, 568, 11603, 585, 1129, 281, 476, 271, 815, 2318, 8870, 1297, 267, 476, 272, 815, 2318, 8870, 1297, 269, 1403, 519, 1297, 547, 581, 10736, 568, 2942, 267, 1376, 609, 922, 2318, 4528, 563, 1892, 476, 273, 269, 19147, 14578, 676, 476, 273, 519, 2318, 8870, 1297, 5329, 3950, 540, 1142, 14230, 269, 5254, 8008, 950, 649, 1205, 513, 23479, 602, 568, 2098, 2207, 302, 563, 1892, 476, 274, 269, 20472, 519, 3490, 476, 273, 6041, 540, 519, 2318, 1297, 267, 676, 2921, 782, 519, 2611, 10249, 4358, 689, 519, 5377, 540, 519, 1592, 9112, 1657, 269, 4935, 267, 519, 2063, 14230, 540, 519, 15523, 3587, 519, 1101, 3090, 630, 1492, 2451, 2865, 264, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3109, 4580, 2479, 2094, 789, 2968, 4116, 268, 14445, 2209, 269, 1358, 941, 11688, 26938, 547, 2721, 610, 5862, 269, 1323, 1995, 540, 2241, 530, 8283, 2000, 1149, 7206, 543, 1225, 11803, 2000, 1149, 7206, 630, 5408, 1202, 564, 4605, 264, 8118, 873, 909, 547, 1404, 609, 5546, 543, 15437, 563, 24058, 1983, 2866, 1570, 585, 3610, 543, 4116, 268, 14445, 2209, 2115, 547, 581, 2919, 543, 2866, 6030, 547, 581, 8045, 547, 1118, 873, 11617, 5100, 1101, 563, 763, 1034, 2442, 12504, 20859, 262, 5359, 593, 5789, 710, 9749, 6074, 8850, 593, 519, 4493, 540, 5784, 543, 8292, 454, 8698, 811, 6009, 0, 21357, 543, 10551, 1416, 540, 519, 3723, 543, 21721, 563, 2889, 325, 11970, 7255, 609, 519, 5868, 543, 2126, 540, 4713, 267, 7063, 543, 20133, 5669, 12889, 540, 519, 3723, 454, 21675, 540, 519, 3952, 267, 1519, 5634, 6391, 563, 763, 2126, 540, 2539, 18215, 543, 3723, 4713, 630, 21865, 1572, 16584, 1886, 1328, 1916, 288, 7936, 540, 519, 2564, 3924, 7231, 609, 519, 6604, 543, 16185, 540, 3723, 3676, 563, 7093, 1203, 894, 543, 7463, 1416, 585, 3676, 267, 4713, 267, 543, 2175, 1644, 547, 519, 3952, 563, 10193, 1634, 607, 630, 2419, 328, 1886, 1328, 264, 1107, 519, 1353, 543, 1416, 540, 519, 3723, 267, 1519, 922, 3339, 2497, 267, 922, 2068, 543, 741, 2126, 563, 763, 1072, 1416, 2361, 602, 24870, 538, 2175, 543, 1599, 540, 519, 1480, 3723, 269, 898, 2882, 6514, 267, 5868, 543, 2126, 676, 2564, 543, 10551, 2409, 563, 28536, 2670, 543, 2126, 540, 4713, 540, 519, 3723, 543, 21721, 563, 1492, 7936, 540, 4915, 7255, 609, 519, 3952, 454, 1492, 1416, 543, 2126, 540, 519, 3723, 543, 21721, 689, 6689, 2042, 998, 1346, 4611, 689, 10172, 267, 1519, 5945, 543, 2068, 543, 10551, 15494, 540, 536, 684, 687, 267, 17200, 1729, 525, 543, 824, 2175, 454, 11514, 7451, 543, 7063, 540, 519, 3723, 543, 21721, 269, 32243, 610, 21721, 1644, 4713, 454, 21675, 540, 3952, 630, 14024, 1886, 1328, 1916, 21357, 543, 10551, 2126, 540, 519, 3723, 563, 763, 1353, 267, 6604, 543, 2126, 540, 2042, 540, 519, 3723, 269, 589, 10540, 9332, 2077, 949, 21559, 30997, 3457, 543, 6646, 267, 610, 4363, 2168, 3797, 269, 23093, 9332, 28748, 7390, 12621, 540, 10540, 12278, 4915, 543, 20021, 616, 7189, 540, 10540, 12278, 4915, 630, 7894, 300, 1040, 23093, 9332, 761, 338, 609, 4359, 2866, 849, 798, 1585, 2010, 540, 3723, 6391, 563, 288, 10540, 9332, 2077, 24870, 538, 519, 2126, 540, 22074, 540, 519, 3952, 543, 17094, 956, 267, 1519, 1351, 985, 267, 1289, 4926, 543, 2895, 2042, 269, 32192, 949, 1331, 6391, 267, 2895, 7028, 267, 1610, 23956, 610, 2027, 5751, 563, 288, 20614, 2519, 593, 519, 5868, 543, 2126, 540, 4713, 543, 5945, 540, 519, 3952, 454, 288, 10540, 9332, 2077, 568, 513, 10629, 543, 513, 18874, 11285, 8156, 2564, 543, 10551, 4713, 540, 519, 3723, 267, 21721, 543, 1850, 267, 1519, 18655, 540, 519, 21721, 543, 3723, 269, 589, 10540, 9332, 2077, 781, 2550, 2039, 689, 12256, 547, 519, 11361, 563, 10972, 1725, 2670, 543, 2126, 540, 3723, 543, 21721, 5829, 4713, 454, 763, 1416, 543, 2126, 540, 1480, 3952, 538, 1072, 543, 2068, 563, 763, 7936, 540, 4915, 602, 9388, 609, 519, 5868, 267, 2126, 267, 543, 6604, 540, 3676, 540, 519, 3723, 269, 4855, 513, 10540, 9332, 2077, 454, 763, 7936, 540, 4915, 602, 24870, 538, 519, 1416, 540, 519, 3723, 538, 1072, 543, 4576, 269, 6884, 1634, 607, 834, 14024, 1886, 1328, 4799, 763, 5868, 267, 2126, 267, 543, 6604, 540, 2175, 540, 1480, 3952, 563, 320, 20614, 7255, 609, 519, 5868, 543, 5924, 2564, 267, 10551, 267, 7344, 267, 10629, 543, 7755, 9417, 633, 2126, 540, 519, 3676, 267, 7063, 543, 12889, 540, 519, 1480, 3723, 563, 763, 5868, 543, 2126, 540, 3676, 543, 4713, 540, 519, 3723, 267, 1519, 2571, 5160, 4713, 971, 607, 1351, 985, 267, 536, 684, 687, 267, 543, 3824, 3497, 547, 523, 5661, 269, 23093, 9332, 28748, 949, 20647, 538, 10540, 12278, 6391, 563, 763, 7936, 540, 2564, 2257, 602, 9388, 609, 519, 3952, 563, 1492, 7463, 2361, 7231, 609, 519, 1353, 543, 1416, 540, 519, 3723, 267, 1519, 922, 14169, 267, 21454, 267, 2564, 543, 10551, 2126, 267, 3092, 563, 28536, 2670, 543, 2126, 540, 3676, 540, 519, 3952, 563, 763, 7936, 540, 4915, 602, 25701, 547, 519, 3723, 543, 922, 22074, 563, 303, 617, 17226, 568, 513, 2361, 540, 3782, 13991, 547, 519, 1353, 543, 2126, 540, 4713, 540, 519, 3723, 267, 21721, 267, 543, 3006, 12597, 267, 1850, 543, 12048, 630, 3712, 937, 1947, 1634, 607, 519, 2539, 17119, 640, 1040, 634, 2474, 10540, 17226, 543, 16584, 1886, 1328, 616, 711, 20049, 762, 267, 609, 519, 2262, 16584, 1886, 1328, 1373, 1034, 1031, 538, 519, 5177, 267, 543, 10540, 17226, 538, 519, 2475, 269, 0, 529, 783, 1769, 579, 956, 269, 19484, 543, 9319, 824, 8484, 676, 3308, 8100, 2864, 982, 7405, 269, 630, 5408, 594, 15709, 994, 305, 2737, 602, 1827, 519, 5773, 585, 10647, 8184, 538, 3308, 2175, 269, 634, 2165, 834, 309, 15709, 257, 568, 849, 1031, 547, 5815, 4365, 2175, 602, 16783, 609, 9138, 966, 15709, 4170, 563, 6665, 783, 8184, 3652, 454, 24058, 8184, 4341, 269, 1703, 616, 1079, 2081, 547, 8038, 8484, 281, 676, 966, 15709, 267, 1759, 593, 5075, 282, 543, 676, 6293, 8184, 4341, 267, 610, 594, 15709, 267, 1759, 593, 1344, 689, 7405, 630, 553, 2944, 676, 8484, 693, 30148, 1040, 12182, 2011, 31148, 616, 2141, 2838, 547, 8038, 676, 966, 15709, 269, 654, 530, 0, 18131, 538, 15787, 1869, 3068, 5208, 543, 6057, 1312, 1369, 741, 3885, 543, 693, 519, 3946, 540, 519, 7128, 610, 16324, 1062, 267, 2687, 547, 513, 1007, 1867, 689, 2549, 333, 17965, 4139, 269, 634, 1867, 267, 13886, 15787, 281, 6468, 7201, 31105, 267, 729, 1759, 593, 11042, 609, 2021, 2429, 15787, 543, 1336, 602, 5134, 13015, 568, 7839, 543, 7361, 10002, 684, 1639, 269, 901, 1867, 3357, 856, 1175, 2395, 1310, 519, 12638, 540, 1744, 2727, 320, 1234, 345, 599, 2465, 267, 513, 8613, 3984, 945, 16668, 519, 476, 790, 540, 3909, 11122, 2510, 267, 543, 1310, 519, 15294, 619, 540, 1614, 5351, 4600, 563, 763, 2278, 540, 519, 1867, 267, 9294, 807, 26036, 572, 514, 267, 7150, 602, 834, 320, 2603, 540, 2021, 5143, 721, 789, 1185, 12479, 1919, 1131, 1689, 6385, 585, 519, 1732, 1310, 519, 24057, 992, 540, 519, 26626, 3316, 267, 865, 972, 568, 513, 2631, 540, 29359, 2437, 2687, 547, 18917, 5240, 269, 2755, 972, 723, 1044, 930, 9283, 538, 519, 4872, 267, 2021, 538, 6917, 2127, 3136, 547, 7985, 267, 543, 647, 15969, 3100, 547, 723, 24111, 538, 3210, 547, 6469, 5208, 610, 7142, 7365, 267, 5359, 3397, 775, 5333, 6261, 637, 572, 269, 2701, 10042, 667, 21516, 267, 10615, 540, 2549, 333, 17965, 4139, 7330, 781, 6468, 781, 5274, 7126, 5358, 6045, 538, 513, 2046, 5305, 602, 834, 637, 559, 1304, 1514, 9821, 602, 5806, 3729, 1996, 2021, 267, 5916, 609, 519, 3668, 540, 606, 2500, 7803, 5126, 1062, 267, 3006, 4734, 2021, 1100, 1141, 547, 2490, 267, 865, 789, 946, 26525, 3800, 899, 11980, 607, 513, 1797, 540, 9101, 4799, 763, 2549, 333, 17965, 1867, 7125, 593, 519, 2229, 540, 15787, 547, 22738, 606, 3872, 1982, 5009, 2021, 781, 2924, 267, 543, 12134, 519, 3486, 2146, 547, 1489, 15787, 781, 3646, 547, 25580, 519, 2197, 543, 1711, 3354, 585, 922, 4961, 269, 8232, 729, 519, 3119, 6161, 540, 808, 7056, 1695, 16334, 10937, 1117, 267, 8689, 540, 513, 918, 5429, 5925, 6728, 1572, 20429, 540, 6468, 269, 16334, 10937, 1117, 5143, 15571, 5131, 2342, 270, 20238, 1470, 23068, 602, 834, 11004, 616, 1869, 3352, 22529, 1043, 11439, 1004, 538, 5279, 538, 15787, 781, 16899, 269, 1358, 723, 1379, 269, 1656, 538, 971, 2175, 267, 540, 1576, 267, 519, 3510, 540, 2021, 814, 711, 4824, 4799, 277, 270, 1240, 270, 1001, 274, 10966, 7040, 22367, 7719, 13560, 19577, 540, 22893, 1222, 966, 582, 518, 21976, 910, 2201, 11728, 267, 519, 2136, 2276, 10966, 7040, 13351, 1524, 606, 14151, 1876, 8506, 17037, 547, 1683, 6169, 540, 15114, 1354, 1373, 4847, 11578, 547, 8917, 563, 1103, 606, 6644, 2854, 1496, 14457, 316, 676, 10456, 4165, 13908, 2480, 26515, 267, 519, 7040, 12199, 602, 519, 14151, 29417, 26991, 519, 2817, 966, 582, 518, 32310, 2920, 630, 301, 309, 6938, 267, 849, 1634, 607, 519, 834, 300, 19318, 966, 582, 518, 4521, 8442, 540, 476, 1960, 274, 267, 799, 2813, 513, 5313, 1106, 602, 2043, 666, 13875, 538, 547, 11578, 547, 8917, 538, 5313, 12836, 269, 1547, 1547, 1547, 0, 22498, 7788, 25555, 26844, 609, 7147, 29698, 454, 22498, 543, 7147, 29698, 630, 2316, 264, 9307, 519, 513, 1007, 11450, 1063, 30263, 543, 8331, 781, 5274, 3194, 5358, 4065, 4934, 18943, 630, 16281, 14154, 302, 264, 1788, 693, 519, 7147, 8950, 4065, 5948, 630, 307, 4753, 288, 264, 10554, 4371, 538, 21388, 267, 7147, 563, 763, 14736, 11325, 2680, 585, 519, 11450, 1063, 15679, 14154, 302, 543, 30263, 729, 513, 13186, 18799, 676, 15679, 14154, 302, 10986, 693, 8331, 779, 9652, 6611, 4741, 630, 297, 17092, 1040, 634, 1445, 540, 713, 5698, 568, 547, 1020, 543, 2936, 1007, 267, 24045, 3872, 1543, 1210, 1483, 8996, 8331, 3156, 543, 519, 10761, 540, 2230, 3408, 547, 581, 8476, 676, 519, 5767, 2029, 543, 6791, 602, 568, 19918, 30263, 563, 763, 3318, 1646, 6498, 540, 30263, 568, 1572, 570, 23326, 267, 799, 6763, 585, 834, 27645, 9752, 609, 5303, 12814, 257, 543, 834, 27645, 9752, 11334, 1701, 570, 23326, 814, 513, 3638, 1686, 540, 3246, 1164, 7779, 3318, 1646, 585, 3610, 945, 1616, 547, 11753, 3872, 2029, 883, 741, 21195, 269, 1452, 16929, 2285, 14245, 547, 2979, 543, 2257, 3610, 18487, 1210, 519, 30263, 2029, 269, 901, 3084, 4598, 786, 948, 15679, 14154, 302, 22962, 519, 3914, 540, 519, 3785, 607, 1134, 607, 1860, 1053, 998, 570, 23326, 26189, 832, 563, 5475, 513, 2027, 4663, 540, 519, 17030, 6513, 15544, 585, 519, 6611, 1744, 583, 1479, 267, 32199, 543, 21011, 15789, 267, 519, 3610, 941, 25461, 609, 2870, 1007, 8747, 540, 10289, 6611, 3414, 4569, 543, 4569, 543, 3163, 7711, 4518, 454, 2889, 21793, 267, 6220, 519, 5767, 30263, 2029, 269, 15679, 14154, 302, 1543, 689, 713, 5698, 786, 581, 11540, 593, 519, 30263, 11242, 16510, 267, 513, 2442, 4183, 540, 519, 30263, 5680, 3135, 1141, 3610, 666, 1265, 2238, 11540, 676, 1641, 585, 741, 13460, 563, 763, 570, 23326, 16929, 543, 15679, 14154, 302, 1788, 5012, 786, 1459, 741, 1007, 3872, 2326, 538, 4728, 693, 519, 570, 23326, 4139, 10985, 538, 24611, 269, 2755, 11504, 789, 786, 3136, 23712, 593, 1007, 2042, 543, 1544, 513, 3018, 17489, 4832, 1543, 1646, 4674, 693, 808, 17092, 713, 4873, 563, 763, 15679, 14154, 302, 1788, 267, 10289, 6611, 3414, 4569, 454, 267, 6212, 593, 10789, 594, 267, 9511, 267, 10789, 4083, 543, 840, 23343, 1529, 639, 267, 1247, 519, 4569, 543, 3163, 7711, 4518, 454, 2889, 915, 6212, 593, 11628, 9255, 618, 630, 4338, 264, 6323, 267, 7998, 267, 7350, 267, 11810, 543, 7194, 269, 1452, 3785, 1683, 29433, 3872, 2326, 2966, 547, 948, 1053, 1174, 1483, 8996, 3156, 540, 891, 6030, 269, 901, 1826, 540, 2069, 568, 5219, 547, 607, 3163, 267, 5303, 267, 7177, 543, 4569, 267, 610, 13241, 563, 9827, 540, 4063, 267, 30263, 814, 513, 1007, 1688, 18988, 2029, 1572, 519, 30263, 9539, 4944, 790, 269, 634, 570, 23326, 26189, 832, 616, 2870, 715, 4944, 790, 8747, 540, 519, 4540, 2042, 269, 4595, 1082, 3506, 723, 24275, 26732, 630, 2316, 268, 10019, 779, 610, 4587, 8747, 264, 538, 741, 13460, 543, 930, 3506, 723, 519, 18960, 715, 4944, 790, 1688, 18988, 338, 267, 1312, 8747, 786, 581, 11368, 269, 901, 6639, 22010, 593, 2757, 2042, 786, 1711, 513, 9962, 5304, 585, 891, 1164, 1153, 13241, 2326, 563, 2414, 1265, 856, 811, 267, 3643, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 6321, 628, 1966, 454, 333, 284, 6358, 2891, 11767, 1325, 23782, 10179, 545, 5602, 322, 284, 271, 454, 323, 284, 271, 454, 1721, 1347, 538, 562, 912, 825, 952, 263, 10420, 18994, 323, 13424, 3890, 2567, 322, 284, 322, 266, 272, 454, 825, 952, 263, 10420, 18994, 10401, 3890, 2567, 323, 284, 323, 266, 272, 454, 825, 952, 6262, 285, 271, 543, 546, 285, 271, 2187, 1038, 1820, 3488, 13433, 5073, 1038, 2736, 454, 604, 6262, 2525, 271, 610, 546, 2525, 271, 2567, 2745, 3488, 5591, 5073, 0, 1598, 272, 267, 1598, 273, 284, 6358, 14061, 20889, 3488, 30386, 604, 19304, 273, 538, 1193, 272, 2567, 2745, 3488, 13433, 5073, 12828, 281, 2745, 3488, 7224, 5073, 0, 11415, 272, 267, 11415, 272, 284, 6358, 14061, 20889, 3488, 30386, 604, 5569, 272, 269, 21639, 3890, 2525, 11415, 273, 269, 21639, 263, 2567, 2745, 3488, 13433, 5073, 12828, 281, 2745, 3488, 7224, 5073, 0, 5228, 27967, 342, 340, 21424, 1104, 8034, 3960, 454, 5228, 2472, 8217, 1104, 1205, 303, 20094, 8266, 692, 12163, 14303, 5281, 513, 1587, 1592, 7329, 267, 543, 513, 6015, 630, 271, 267, 1911, 994, 12163, 3698, 1205, 29410, 11243, 263, 14142, 23919, 2187, 825, 1948, 4746, 1413, 693, 8034, 3960, 269, 14783, 318, 7806, 1470, 454, 825, 12753, 815, 27883, 343, 267, 8034, 3960, 269, 7806, 1470, 263, 14142, 23919, 267, 1535, 4297, 585, 1535, 538, 1205, 303, 20094, 8266, 3890, 6540, 825, 1655, 318, 7806, 1470, 815, 476, 271, 454, 825, 1655, 16182, 343, 815, 476, 271, 692, 825, 1948, 570, 7495, 302, 281, 1205, 519, 1655, 5223, 543, 519, 1655, 3693, 865, 2484, 454, 825, 585, 1775, 538, 2039, 12759, 263, 7806, 3930, 15892, 1038, 5223, 815, 12753, 5157, 2639, 1038, 952, 12753, 314, 272, 316, 2999, 1655, 318, 7806, 1470, 281, 3097, 2018, 3136, 454, 1038, 1655, 318, 7806, 1470, 815, 12753, 314, 272, 2639, 1038, 1655, 16182, 343, 815, 1775, 692, 825, 2132, 1655, 16182, 343, 267, 1655, 318, 7806, 1470, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 18873, 454, 825, 1449, 815, 1496, 454, 1038, 834, 8208, 577, 1575, 20350, 1038, 834, 335, 14040, 20350, 1038, 834, 16955, 20350, 1038, 834, 330, 4861, 1276, 320, 20350, 1038, 834, 3333, 18276, 4840, 825, 476, 6540, 825, 1820, 8443, 1326, 29410, 11243, 3287, 264, 585, 1535, 538, 1449, 8079, 0, 454, 3698, 3902, 2414, 19617, 4433, 2187, 825, 521, 815, 521, 14714, 8692, 4590, 825, 568, 290, 757, 815, 8771, 454, 825, 568, 291, 3326, 1513, 815, 8771, 692, 825, 952, 18011, 10634, 262, 538, 521, 2187, 1038, 568, 290, 757, 815, 6936, 454, 825, 8640, 18011, 259, 262, 538, 521, 264, 610, 630, 8339, 262, 538, 521, 2187, 1038, 568, 291, 3326, 1513, 815, 6936, 22562, 825, 952, 568, 290, 757, 912, 1038, 2132, 10581, 263, 30236, 4433, 4297, 1315, 476, 1911, 692, 825, 952, 7003, 263, 30236, 4433, 4297, 3436, 476, 273, 912, 1038, 2132, 10581, 263, 30236, 4433, 4297, 1315, 476, 1911, 692, 825, 1130, 815, 10581, 263, 30236, 4433, 4917, 825, 952, 630, 1998, 3436, 476, 2004, 2187, 1038, 2132, 1130, 1315, 476, 1911, 692, 825, 2132, 10581, 263, 30236, 4433, 11723, 3698, 2973, 4433, 2187, 825, 2132, 521, 14714, 8692, 3488, 2485, 351, 259, 262, 1040, 516, 2897, 3488, 269, 3299, 15234, 1040, 516, 2897, 3488, 22207, 15234, 1040, 516, 2897, 263, 3299, 3299, 15234, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 18873, 454, 825, 4255, 815, 1496, 454, 1038, 834, 259, 275, 269, 2004, 20350, 1038, 834, 259, 275, 20350, 1038, 834, 275, 20350, 1038, 834, 476, 275, 4200, 20350, 1038, 834, 259, 275, 4200, 20350, 1038, 834, 4200, 10634, 20350, 1038, 834, 4200, 20350, 1038, 834, 275, 269, 2004, 20350, 1038, 834, 259, 1321, 267, 4510, 20350, 1038, 834, 280, 476, 4200, 4840, 825, 476, 6540, 825, 585, 1449, 538, 4255, 912, 1038, 1820, 6025, 652, 1341, 834, 15010, 257, 1341, 1193, 263, 23748, 2414, 19617, 6025, 652, 30727, 0, 18411, 32046, 593, 3057, 476, 2420, 267, 476, 1001, 274, 692, 287, 10461, 281, 795, 322, 454, 18257, 7531, 5814, 8342, 322, 542, 525, 692, 1723, 548, 764, 542, 815, 834, 257, 476, 1948, 2552, 1329, 324, 17485, 6746, 657, 632, 15255, 1577, 6652, 454, 2280, 6652, 815, 18011, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 3299, 1412, 324, 3299, 1412, 325, 3299, 1412, 326, 3299, 1412, 327, 3299, 1412, 328, 3299, 1412, 329, 3299, 1412, 330, 3299, 1412, 331, 3299, 1412, 332, 3299, 315, 454, 16875, 1412, 333, 3299, 1412, 334, 3299, 1412, 335, 3299, 1412, 336, 3299, 1412, 337, 3299, 1412, 338, 3299, 1412, 339, 3299, 1412, 340, 3299, 1412, 341, 3299, 1412, 342, 3299, 1412, 343, 3299, 1412, 344, 3299, 1412, 345, 5073, 323, 27364, 542, 9222, 815, 27835, 320, 9166, 1412, 1691, 3299, 1412, 321, 9166, 1412, 4905, 3299, 1412, 322, 9166, 1412, 876, 3299, 1412, 323, 9166, 1412, 1626, 3299, 1412, 324, 9166, 1412, 4962, 3299, 315, 454, 25639, 1412, 325, 9166, 1412, 736, 3299, 1412, 326, 9166, 1412, 866, 3299, 1412, 327, 9166, 1412, 6021, 3299, 1412, 328, 9166, 1412, 2190, 3299, 1412, 329, 9166, 1412, 5881, 3299, 315, 454, 25639, 1412, 330, 9166, 1412, 2641, 3299, 1412, 331, 9166, 1412, 5400, 3299, 1412, 332, 9166, 1412, 6860, 3299, 1412, 333, 9166, 1412, 1724, 3299, 1412, 334, 9166, 1412, 1839, 3299, 315, 454, 25639, 1412, 335, 9166, 1412, 2420, 3299, 1412, 336, 9166, 1412, 1240, 3299, 1412, 337, 9166, 1412, 1015, 3299, 1412, 338, 9166, 1412, 6349, 3299, 1412, 339, 9166, 1412, 6187, 3299, 315, 454, 25639, 1412, 340, 9166, 1412, 1321, 3299, 1412, 341, 9166, 1412, 2537, 3299, 1412, 342, 9166, 1412, 1556, 3299, 1412, 343, 9166, 1412, 6734, 3299, 1412, 344, 9166, 1412, 1428, 3299, 315, 454, 25639, 1412, 345, 9166, 1412, 1704, 262, 8679, 6112, 6936, 912, 825, 733, 815, 476, 271, 454, 825, 733, 273, 815, 476, 271, 454, 825, 2357, 881, 30685, 815, 476, 271, 454, 825, 2357, 881, 30685, 273, 815, 476, 271, 454, 825, 2357, 3424, 4973, 815, 476, 271, 454, 825, 1948, 5136, 339, 1329, 324, 3288, 14664, 324, 586, 533, 14505, 15255, 1577, 6652, 513, 1295, 529, 1529, 320, 454, 825, 14664, 324, 815, 6151, 17750, 2891, 28808, 516, 572, 1714, 1003, 3266, 632, 14664, 324, 20257, 12294, 4590, 825, 952, 7003, 263, 6312, 25366, 264, 10922, 476, 279, 912, 1038, 1247, 733, 2999, 7003, 263, 6312, 25366, 2187, 2018, 1247, 733, 273, 2999, 476, 2918, 912, 3546, 952, 1577, 6652, 314, 4186, 273, 316, 2652, 14664, 324, 314, 4186, 14158, 7386, 2357, 3424, 4973, 815, 2357, 3424, 4973, 1341, 476, 272, 454, 7386, 952, 733, 2999, 476, 274, 281, 476, 1948, 7638, 881, 320, 17485, 2215, 14058, 476, 274, 6746, 657, 454, 13376, 2357, 881, 30685, 815, 2357, 881, 30685, 1341, 476, 272, 454, 13376, 952, 2357, 881, 30685, 2652, 476, 272, 543, 733, 2652, 476, 271, 912, 23351, 2357, 881, 30685, 273, 815, 476, 272, 454, 7386, 1948, 18095, 807, 17485, 1130, 2803, 632, 1577, 6652, 513, 6746, 657, 454, 7386, 1071, 548, 764, 542, 815, 1071, 548, 764, 542, 1341, 546, 27364, 542, 9222, 314, 2280, 6652, 314, 4186, 273, 27663, 3546, 733, 273, 815, 733, 273, 1341, 476, 272, 454, 2018, 733, 815, 733, 1341, 476, 272, 454, 2018, 733, 273, 815, 476, 271, 454, 1038, 1948, 7638, 881, 320, 6446, 3288, 14664, 324, 1073, 1084, 5866, 4262, 4570, 320, 454, 1038, 952, 2357, 881, 30685, 2652, 476, 274, 543, 2357, 3424, 4973, 2652, 476, 274, 543, 7003, 263, 6312, 25366, 264, 2652, 476, 277, 912, 2018, 2357, 881, 30685, 273, 815, 476, 271, 454, 2018, 1820, 834, 15031, 25366, 4406, 5866, 4840, 2018, 14664, 324, 815, 1193, 263, 1723, 548, 764, 542, 264, 1341, 1193, 263, 6312, 25366, 314, 274, 281, 277, 7481, 2018, 8342, 322, 542, 525, 269, 20412, 665, 617, 263, 6312, 25366, 267, 1071, 548, 764, 542, 994, 2018, 2736, 454, 1038, 1948, 7638, 881, 320, 6446, 3288, 14664, 324, 1073, 1084, 5866, 4262, 4570, 320, 454, 1038, 8640, 2357, 881, 30685, 273, 2652, 476, 272, 543, 2357, 881, 30685, 2652, 476, 272, 543, 2357, 3424, 4973, 2652, 476, 272, 912, 2018, 1820, 834, 15031, 25366, 4406, 5866, 4840, 2018, 14664, 324, 815, 1193, 263, 1723, 548, 764, 542, 264, 1341, 1193, 263, 6312, 25366, 314, 272, 281, 6352, 263, 6312, 25366, 264, 7481, 2018, 8342, 322, 542, 525, 269, 20412, 665, 617, 263, 6312, 25366, 267, 1071, 548, 764, 542, 994, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 834, 15031, 25366, 769, 1998, 5866, 4840, 2018, 3136, 454, 825, 3116, 912, 1038, 1820, 834, 15031, 25366, 769, 1998, 5866, 4840, 1038, 3136, 454, 0, 258, 17683, 284, 583, 325, 279, 454, 5228, 4351, 1104, 3903, 454, 5814, 21267, 28272, 607, 12301, 7531, 258, 28859, 504, 493, 10951, 374, 418, 376, 360, 27882, 354, 454, 5035, 15932, 310, 1779, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 1003, 318, 4812, 284, 4335, 271, 2187, 1038, 1948, 476, 10254, 507, 417, 356, 489, 25060, 500, 421, 504, 493, 10951, 374, 418, 376, 360, 27882, 354, 7511, 26233, 375, 27882, 354, 12255, 454, 1038, 1582, 8542, 636, 318, 4812, 815, 1003, 318, 4812, 454, 1038, 1948, 17276, 487, 478, 23284, 421, 504, 493, 10951, 374, 418, 376, 360, 27882, 354, 421, 25693, 417, 356, 489, 30678, 263, 271, 267, 271, 994, 1038, 1582, 11859, 19056, 815, 1496, 271, 2639, 1038, 1582, 13885, 19056, 815, 1496, 271, 2639, 1038, 1948, 13127, 362, 504, 18263, 487, 421, 504, 493, 10951, 374, 418, 376, 360, 27882, 354, 7511, 25913, 25622, 692, 825, 1219, 6445, 16062, 1779, 4311, 2187, 1038, 1247, 630, 6352, 4311, 11859, 19056, 264, 2999, 1582, 8542, 636, 318, 4812, 2187, 2018, 1948, 28859, 504, 493, 10951, 374, 27310, 420, 369, 364, 7511, 25913, 12571, 495, 16088, 31176, 491, 13213, 505, 25520, 22390, 496, 20881, 478, 454, 2018, 1535, 5091, 3925, 815, 3903, 8443, 272, 267, 910, 272, 7481, 2018, 1948, 17276, 363, 493, 418, 361, 350, 421, 504, 493, 10951, 374, 417, 479, 504, 7511, 27882, 354, 421, 499, 379, 454, 2018, 1535, 5091, 2700, 815, 3903, 8443, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 7481, 2018, 1948, 17276, 363, 493, 418, 361, 350, 420, 369, 364, 7511, 27882, 354, 421, 499, 379, 454, 2018, 1535, 14067, 788, 815, 1535, 5091, 3925, 2608, 1535, 5091, 2700, 692, 2018, 586, 5091, 3925, 815, 3903, 8443, 272, 267, 910, 272, 7481, 2018, 1948, 17276, 363, 493, 418, 361, 350, 421, 504, 493, 10951, 374, 417, 479, 504, 7511, 27882, 354, 421, 499, 379, 454, 2018, 586, 5091, 2700, 815, 3903, 8443, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 7481, 2018, 1948, 17276, 363, 493, 418, 361, 350, 420, 369, 364, 7511, 27882, 354, 421, 499, 379, 454, 2018, 586, 14067, 788, 815, 586, 5091, 3925, 2608, 586, 5091, 2700, 454, 2018, 1948, 17276, 489, 496, 14756, 507, 31308, 509, 17295, 364, 420, 372, 493, 27882, 354, 454, 2018, 952, 1535, 14067, 788, 2652, 476, 271, 543, 586, 14067, 788, 2652, 476, 271, 912, 3546, 3136, 454, 2018, 1948, 476, 18777, 350, 28997, 501, 31284, 22047, 30536, 7511, 343, 25520, 344, 7511, 29219, 267, 10429, 370, 18809, 1345, 11859, 19056, 15631, 272, 316, 15159, 31006, 12571, 492, 22047, 29219, 454, 2018, 1948, 1582, 11859, 19056, 15631, 272, 316, 25520, 1345, 13885, 19056, 15631, 272, 316, 25051, 497, 31176, 491, 30536, 7511, 417, 507, 494, 21550, 485, 454, 2018, 1985, 13448, 815, 1582, 11859, 19056, 15631, 272, 316, 1341, 1535, 14067, 788, 454, 2018, 1985, 14729, 815, 1582, 13885, 19056, 15631, 272, 316, 1341, 586, 14067, 788, 454, 2018, 1948, 17276, 376, 360, 24731, 13601, 27882, 354, 18263, 489, 12571, 492, 7511, 420, 494, 377, 420, 482, 504, 417, 507, 494, 21550, 485, 454, 2018, 1582, 11859, 19056, 6910, 263, 10113, 13448, 994, 2018, 1582, 13885, 19056, 6910, 263, 10113, 14729, 9239, 337, 342, 815, 15932, 310, 1779, 4590, 337, 342, 8807, 650, 16062, 1779, 4590, 4812, 5332, 13246, 815, 1592, 263, 9792, 16868, 342, 8542, 636, 318, 4812, 4917, 10823, 31892, 2660, 16868, 342, 11859, 19056, 267, 678, 342, 13885, 19056, 267, 524, 284, 4812, 5332, 13246, 267, 4699, 777, 284, 10823, 6983, 332, 269, 7922, 1132, 267, 521, 284, 1428, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1769, 649, 666, 14377, 883, 10408, 1648, 267, 649, 3494, 3425, 666, 2661, 547, 581, 476, 4968, 268, 7785, 1296, 2025, 563, 20332, 18467, 1677, 5192, 2859, 12713, 5025, 660, 3317, 553, 454, 6930, 498, 492, 1306, 5018, 1657, 267, 513, 10196, 5063, 4362, 513, 1007, 7121, 540, 6915, 268, 656, 3317, 553, 602, 5512, 938, 2281, 547, 14377, 811, 1769, 982, 8912, 563, 6930, 490, 488, 7316, 1705, 646, 1265, 891, 6915, 268, 656, 3317, 553, 286, 769, 519, 7909, 563, 6930, 496, 355, 1261, 849, 1336, 891, 1482, 6915, 268, 656, 3317, 553, 538, 12647, 543, 22253, 607, 1134, 454, 6930, 498, 484, 901, 2306, 2631, 267, 2094, 1216, 568, 513, 4487, 693, 24758, 1769, 2336, 8967, 2056, 942, 538, 2067, 4703, 540, 1216, 666, 1683, 938, 4703, 609, 519, 2200, 547, 14377, 811, 1769, 883, 10408, 1648, 563, 20332, 15733, 2334, 21277, 576, 12713, 5025, 660, 3317, 553, 454, 414, 504, 350, 12713, 26104, 4793, 2583, 616, 840, 7302, 20149, 609, 1114, 6915, 268, 656, 3317, 553, 602, 948, 938, 2281, 14377, 1769, 883, 1114, 2200, 269, 1703, 616, 6915, 26104, 15649, 602, 1489, 609, 3207, 630, 15062, 1070, 1928, 630, 15062, 1070, 11005, 630, 15062, 1070, 543, 4835, 3666, 630, 15062, 1916, 6930, 505, 490, 17747, 6052, 25682, 16170, 563, 763, 1627, 11246, 289, 568, 513, 6915, 268, 656, 28225, 8228, 2046, 602, 10741, 1569, 547, 519, 1114, 3029, 540, 1769, 602, 938, 1560, 2115, 269, 898, 3096, 513, 4999, 540, 2484, 18342, 3002, 267, 3280, 267, 2890, 9690, 14242, 547, 948, 938, 1560, 1174, 1018, 621, 2115, 267, 543, 1287, 513, 4999, 540, 6915, 268, 656, 3317, 553, 543, 7061, 1648, 547, 5531, 543, 1184, 891, 2200, 563, 5472, 519, 1344, 538, 713, 5816, 729, 15504, 689, 938, 12353, 20394, 267, 1141, 649, 2671, 2257, 1532, 17977, 2081, 547, 3986, 707, 1560, 779, 6418, 7067, 1761, 269, 3962, 20394, 666, 581, 1224, 538, 1447, 982, 476, 275, 3764, 267, 543, 596, 666, 24049, 1210, 519, 3095, 2630, 9462, 496, 506, 0, 8794, 3642, 547, 2037, 762, 7913, 6925, 454, 19445, 1125, 1480, 7919, 1210, 19777, 839, 832, 547, 3950, 938, 1950, 28772, 11043, 1062, 267, 1184, 519, 1804, 2179, 540, 1239, 6383, 609, 5841, 4987, 630, 9590, 264, 543, 1689, 4791, 2259, 2509, 25191, 4915, 281, 891, 616, 519, 3853, 540, 3059, 4915, 269, 769, 713, 2911, 267, 649, 1865, 875, 547, 1374, 3642, 3435, 538, 519, 4791, 2230, 543, 1018, 616, 519, 1883, 3344, 547, 1118, 513, 3017, 563, 2171, 1445, 593, 1079, 2565, 4791, 3584, 602, 991, 3642, 281, 476, 272, 264, 693, 7434, 27417, 20746, 630, 28425, 1070, 543, 476, 273, 264, 10194, 10108, 630, 26542, 268, 866, 1916, 28425, 568, 519, 1034, 1455, 13455, 13487, 2855, 15219, 8926, 267, 2404, 609, 8482, 267, 2295, 5821, 543, 18337, 16050, 2068, 269, 19200, 7020, 689, 2582, 6122, 611, 6850, 15258, 25086, 630, 4488, 294, 264, 19827, 568, 1869, 606, 1930, 1966, 267, 607, 19200, 2621, 949, 581, 8398, 21288, 543, 519, 5365, 26776, 269, 1284, 2932, 513, 15826, 2079, 540, 2487, 28708, 531, 8849, 3060, 25121, 2919, 538, 519, 2780, 5075, 2361, 267, 2699, 525, 11220, 547, 581, 5078, 585, 513, 835, 8820, 5365, 267, 543, 649, 6218, 741, 2773, 538, 519, 7020, 540, 19200, 1210, 476, 1220, 8536, 7643, 540, 10566, 294, 267, 10223, 519, 1761, 543, 8486, 6420, 540, 713, 2029, 269, 1284, 849, 1865, 875, 547, 2491, 630, 29514, 543, 2199, 2022, 554, 665, 3137, 264, 713, 3642, 2203, 585, 19200, 7020, 1210, 2934, 602, 616, 4122, 1031, 676, 513, 6315, 6048, 563, 2414, 10994, 519, 1966, 540, 5046, 268, 866, 267, 649, 1376, 609, 606, 7650, 540, 6024, 267, 1780, 1947, 16913, 4105, 4191, 689, 476, 1220, 267, 1822, 2043, 9849, 513, 28546, 4226, 28707, 3926, 585, 476, 273, 1296, 269, 901, 1804, 1353, 2488, 519, 15977, 585, 667, 4953, 17614, 267, 938, 813, 2861, 267, 18487, 4791, 1353, 679, 13764, 2043, 945, 22991, 946, 513, 5100, 31296, 610, 824, 12616, 3457, 547, 3313, 952, 25191, 9477, 540, 2242, 538, 2295, 2557, 267, 2534, 543, 3207, 666, 1683, 2038, 5868, 543, 1582, 15065, 13501, 585, 5046, 268, 866, 269, 1284, 5659, 1239, 689, 811, 982, 476, 3607, 267, 1822, 2043, 267, 6029, 875, 649, 666, 5806, 3729, 630, 517, 606, 1367, 1377, 264, 1063, 5046, 268, 866, 543, 824, 2010, 540, 5563, 269, 1284, 1865, 875, 713, 666, 1764, 1312, 519, 1367, 543, 1857, 1072, 267, 543, 875, 519, 946, 540, 3642, 666, 581, 513, 3014, 1680, 518, 538, 713, 4339, 1996, 519, 3644, 563, 10666, 519, 10584, 454, 294, 1640, 326, 1470, 2372, 518, 568, 8689, 540, 14464, 11106, 693, 519, 2480, 23774, 338, 3194, 25927, 1049, 4659, 267, 1141, 646, 5012, 519, 4578, 3163, 543, 24630, 2319, 1369, 519, 2353, 540, 2974, 3194, 5358, 779, 12160, 656, 4741, 630, 25712, 295, 1916, 14367, 1382, 6212, 593, 5841, 4987, 543, 2625, 8494, 2065, 9781, 4294, 547, 26945, 1239, 6786, 267, 538, 1931, 547, 1349, 1883, 1344, 543, 1118, 11236, 593, 2104, 20825, 1759, 593, 2250, 1239, 563, 3891, 568, 3238, 538, 1896, 3059, 4915, 7341, 1369, 519, 2480, 23774, 338, 3194, 7913, 2558, 10118, 4741, 269, 1280, 519, 667, 4953, 17614, 1353, 267, 646, 568, 3384, 6620, 547, 3589, 5046, 268, 866, 543, 824, 10194, 5563, 689, 28707, 9300, 1239, 269, 1261, 568, 3743, 585, 21769, 609, 1896, 2872, 4891, 267, 4974, 2242, 538, 2295, 2557, 543, 3207, 1239, 16913, 676, 5010, 28707, 3457, 269, 1261, 568, 849, 5461, 538, 519, 7020, 543, 9781, 540, 693, 7434, 27417, 20746, 689, 2582, 6122, 611, 10566, 294, 6786, 0, 310, 559, 3467, 15182, 731, 568, 3182, 3293, 538, 4395, 267, 2034, 689, 2451, 454, 20124, 3938, 17940, 540, 519, 8176, 670, 269, 932, 760, 2006, 4741, 454, 310, 559, 3467, 9466, 15182, 731, 729, 4535, 5412, 476, 1789, 267, 476, 4489, 277, 547, 918, 15811, 9466, 15182, 731, 543, 20999, 661, 269, 15182, 731, 267, 543, 729, 556, 1563, 593, 8274, 9335, 267, 538, 6428, 529, 12064, 267, 15930, 269, 1261, 21783, 689, 6428, 529, 12064, 2051, 1819, 4400, 3427, 269, 2991, 1164, 1153, 267, 646, 9411, 543, 21783, 689, 8621, 17980, 4659, 267, 1631, 8621, 17980, 2160, 267, 538, 8621, 17980, 267, 9098, 267, 538, 476, 4350, 280, 609, 513, 20277, 779, 4110, 538, 2257, 269, 2755, 693, 8621, 17980, 4659, 267, 646, 729, 18279, 540, 519, 15944, 12079, 619, 9751, 17620, 630, 4629, 12839, 1916, 5475, 4271, 908, 689, 8621, 17980, 4659, 267, 12070, 3467, 15182, 731, 6026, 585, 1079, 1296, 693, 6452, 558, 871, 6019, 4400, 3427, 538, 20088, 2917, 267, 9098, 269, 1635, 476, 3707, 272, 267, 2622, 2782, 4083, 1185, 13175, 543, 15182, 731, 8067, 1229, 585, 519, 2136, 2276, 8136, 5794, 17620, 538, 519, 2887, 540, 476, 3707, 272, 543, 729, 7608, 538, 5130, 540, 476, 3707, 273, 269, 1717, 267, 621, 729, 711, 2653, 585, 3979, 1977, 2367, 547, 4196, 538, 519, 2136, 2276, 5302, 27935, 4108, 4229, 563, 4263, 519, 942, 267, 789, 1185, 547, 4339, 585, 519, 1318, 547, 4196, 538, 824, 982, 2367, 658, 6009, 269, 1717, 267, 1813, 547, 17600, 1996, 10168, 543, 17478, 3366, 676, 519, 3109, 19742, 13781, 267, 3109, 2021, 779, 2516, 267, 3109, 2852, 1053, 267, 519, 2817, 5948, 585, 519, 21992, 618, 540, 2051, 1819, 4658, 630, 2793, 3722, 303, 1070, 543, 606, 954, 24055, 22687, 602, 5706, 539, 8635, 538, 519, 8165, 4229, 267, 17051, 941, 19385, 14688, 4847, 547, 21821, 538, 519, 9241, 2813, 2136, 2276, 5794, 10414, 269, 6736, 11685, 547, 519, 14669, 267, 3689, 15248, 540, 519, 2136, 2276, 267, 661, 32642, 17619, 3576, 513, 8184, 609, 835, 540, 519, 3109, 21804, 945, 2968, 1634, 607, 519, 570, 639, 651, 32607, 589, 3305, 523, 269, 589, 4999, 540, 1346, 2516, 543, 741, 17600, 5916, 609, 11427, 269, 17619, 779, 12050, 18879, 5280, 547, 1689, 930, 540, 519, 25949, 827, 519, 3109, 21804, 543, 741, 5759, 547, 8038, 8484, 338, 563, 2005, 729, 538, 5130, 540, 476, 3707, 272, 602, 519, 2136, 2276, 2782, 4972, 9307, 519, 5250, 540, 606, 782, 15918, 871, 13287, 27805, 1258, 540, 25142, 14742, 543, 519, 5137, 540, 519, 2866, 1982, 693, 570, 639, 651, 32607, 8136, 5794, 12197, 267, 570, 639, 651, 32607, 267, 17665, 267, 585, 3109, 21804, 269, 6519, 10492, 20402, 519, 2168, 543, 2790, 2702, 540, 3109, 2367, 547, 4196, 610, 12681, 25142, 2011, 4739, 269, 9521, 519, 1964, 540, 519, 8136, 267, 519, 476, 4200, 628, 8293, 611, 1258, 543, 519, 476, 28590, 526, 6828, 267, 799, 729, 1500, 909, 540, 519, 476, 1911, 628, 267, 476, 22145, 560, 267, 543, 476, 23714, 526, 8293, 611, 6425, 1185, 3109, 10492, 269, 634, 782, 15918, 871, 8136, 5794, 16710, 15538, 540, 476, 6110, 21821, 539, 2367, 267, 476, 3451, 21804, 543, 476, 2767, 27858, 269, 8409, 2367, 941, 3013, 779, 1101, 3109, 4108, 2011, 5443, 267, 543, 1034, 540, 873, 941, 1164, 1153, 543, 2852, 20021, 563, 17829, 570, 639, 651, 32607, 589, 3305, 523, 5340, 1134, 5103, 519, 10168, 543, 7130, 789, 4810, 593, 513, 3232, 4493, 543, 6591, 606, 11141, 2594, 269, 1358, 24363, 936, 476, 1428, 267, 4335, 4990, 625, 543, 6192, 476, 272, 267, 6795, 279, 13485, 538, 4000, 267, 5333, 267, 7977, 267, 12996, 267, 543, 6576, 267, 26603, 15659, 476, 1220, 5230, 17177, 1499, 2620, 883, 5125, 269, 1358, 19017, 476, 5611, 31692, 1639, 674, 2391, 9061, 525, 267, 513, 6181, 542, 540, 8585, 527, 267, 513, 18234, 10060, 267, 476, 1691, 27705, 25578, 267, 543, 476, 278, 4510, 5794, 2405, 1023, 269, 898, 729, 711, 2653, 1317, 693, 1101, 1082, 1977, 3043, 21804, 15189, 547, 12314, 609, 873, 2394, 519, 3943, 543, 824, 4914, 21804, 4280, 519, 570, 639, 651, 32607, 589, 3305, 523, 547, 26603, 677, 543, 9718, 873, 593, 13485, 1813, 547, 741, 14222, 6370, 5638, 563, 310, 559, 3467, 15182, 731, 8067, 1229, 538, 476, 3707, 272, 543, 21783, 689, 570, 639, 651, 32607, 779, 8136, 5794, 7615, 3427, 779, 17266, 5422, 8791, 538, 4147, 10323, 268, 5655, 6953, 593, 5181, 476, 277, 267, 476, 3707, 273, 269, 2201, 602, 4266, 267, 646, 12236, 1010, 12209, 267, 729, 20827, 513, 5822, 31924, 267, 543, 729, 519, 1101, 3979, 1977, 689, 519, 8109, 1744, 648, 547, 798, 865, 269, 1261, 729, 513, 4759, 540, 519, 476, 277, 628, 20017, 564, 22692, 1362, 543, 729, 835, 540, 519, 1101, 476, 2004, 3979, 1977, 8396, 25142, 21804, 538, 1977, 1686, 269, 3571, 27805, 1258, 729, 519, 1101, 547, 6443, 519, 476, 28590, 526, 674, 7660, 6828, 269, 15182, 731, 849, 8678, 519, 476, 4200, 628, 8293, 611, 1258, 267, 513, 851, 540, 519, 476, 28590, 526, 674, 7660, 6828, 267, 1634, 607, 519, 968, 16446, 570, 5661, 2223, 24363, 17177, 828, 26603, 677, 13485, 585, 519, 476, 1428, 628, 5794, 10414, 267, 16091, 10546, 7158, 538, 1489, 540, 2666, 4229, 267, 543, 7722, 538, 2011, 8396, 563, 7628, 1010, 3742, 4108, 4876, 267, 12070, 3467, 15182, 731, 729, 6728, 539, 693, 570, 639, 651, 32607, 267, 17665, 282, 744, 2675, 18649, 267, 12309, 282, 8805, 18741, 1067, 267, 1715, 14948, 282, 543, 8682, 16466, 12197, 267, 12309, 269, 1261, 543, 824, 3109, 10492, 941, 1419, 5806, 3990, 1996, 543, 941, 711, 2016, 519, 1482, 22581, 543, 22864, 607, 6519, 10492, 269, 15182, 731, 267, 519, 824, 570, 639, 651, 32607, 589, 3305, 523, 267, 543, 3979, 1977, 7980, 10692, 519, 17677, 966, 281, 10692, 585, 11802, 538, 2342, 1282, 519, 2112, 543, 849, 10692, 585, 9111, 693, 1753, 950, 789, 8120, 547, 519, 2136, 2276, 267, 1256, 1498, 789, 941, 5701, 1732, 538, 2342, 543, 5125, 982, 693, 1753, 563, 2690, 1010, 5789, 3218, 1190, 10279, 607, 513, 570, 639, 651, 32607, 5794, 2006, 267, 12070, 3467, 645, 269, 15182, 731, 729, 13752, 5722, 11135, 25578, 269, 769, 476, 3707, 276, 267, 646, 19500, 607, 519, 2212, 540, 519, 4972, 540, 14502, 6184, 18936, 585, 519, 2136, 2276, 8136, 543, 19622, 689, 3742, 4108, 10279, 538, 476, 3707, 277, 609, 519, 7584, 540, 18279, 269, 1717, 267, 1310, 519, 2112, 8694, 267, 12070, 3467, 15182, 731, 7283, 538, 519, 8136, 1763, 12883, 543, 5833, 519, 7584, 540, 11683, 563, 1103, 476, 3707, 278, 267, 12070, 3467, 15182, 731, 4294, 585, 543, 729, 11865, 958, 15861, 547, 519, 2160, 540, 15930, 779, 10927, 1153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 9591, 513, 2078, 269, 769, 4334, 267, 1921, 547, 666, 581, 1031, 30430, 609, 8936, 543, 3095, 267, 2519, 593, 519, 2168, 957, 540, 8220, 3615, 563, 14454, 267, 1921, 609, 568, 811, 2442, 607, 621, 13315, 513, 6626, 2039, 540, 4296, 267, 1519, 3929, 543, 1875, 14428, 9713, 6402, 563, 14240, 543, 5940, 8012, 454, 763, 11984, 1063, 2048, 6618, 609, 685, 543, 2048, 6618, 547, 685, 6013, 538, 741, 6165, 281, 519, 5449, 25701, 547, 1875, 14428, 9713, 6402, 5473, 1004, 610, 3615, 267, 1247, 519, 8545, 568, 6964, 585, 9308, 16046, 3615, 547, 835, 1776, 563, 2414, 1174, 519, 3017, 1063, 1921, 609, 543, 1921, 547, 267, 2015, 519, 1739, 912, 268, 4045, 609, 4016, 547, 30608, 4296, 267, 971, 607, 3347, 610, 3929, 7554, 563, 268, 4045, 547, 568, 1031, 585, 9308, 8220, 3688, 267, 1419, 5473, 5122, 3334, 563, 268, 4045, 609, 568, 811, 4122, 1031, 982, 1921, 547, 563, 268, 4045, 547, 729, 811, 2442, 538, 519, 476, 1960, 271, 338, 609, 519, 4473, 540, 519, 4950, 563, 268, 14271, 11618, 585, 1921, 609, 1331, 8936, 543, 6443, 267, 1247, 19655, 585, 1921, 547, 616, 8936, 543, 3095, 563, 31535, 950, 547, 946, 1921, 609, 610, 1921, 547, 666, 948, 2327, 4977, 543, 6209, 2792, 563, 15239, 14428, 9713, 4296, 7854, 30608, 7554, 543, 12205, 1063, 2043, 610, 3615, 269, 1452, 4296, 1404, 513, 2629, 1909, 538, 2679, 3347, 543, 5807, 2500, 2792, 563, 15307, 629, 7667, 543, 4509, 1875, 14428, 9713, 4296, 666, 581, 6913, 998, 1585, 1797, 269, 2290, 2500, 1259, 568, 676, 8362, 6947, 543, 2502, 538, 6209, 7391, 269, 1635, 6029, 9758, 1719, 543, 6568, 267, 2043, 666, 3715, 513, 2631, 540, 3972, 543, 1620, 609, 1866, 563, 12234, 267, 9001, 2413, 2029, 971, 607, 1514, 2923, 5867, 666, 849, 7520, 1875, 14428, 9713, 4296, 269, 14044, 2950, 543, 2228, 13033, 1683, 3255, 585, 2043, 547, 1921, 609, 899, 16490, 2043, 610, 4648, 538, 741, 9757, 4610, 563, 2005, 568, 1271, 547, 4063, 602, 4509, 1875, 14428, 9713, 4296, 3340, 5812, 4674, 543, 2792, 269, 8617, 2638, 15564, 267, 4687, 4143, 1344, 267, 543, 5356, 1489, 616, 2500, 2081, 547, 20741, 891, 4296, 543, 2327, 741, 15325, 563, 16498, 4296, 7854, 519, 15889, 6402, 1063, 3615, 610, 9988, 267, 1419, 5473, 519, 946, 540, 5122, 3334, 547, 3715, 513, 2168, 6125, 269, 1879, 621, 2501, 547, 2168, 4296, 267, 972, 616, 1312, 5294, 543, 931, 547, 2015, 563, 3682, 338, 540, 2168, 4296, 912, 268, 4039, 6636, 281, 8447, 4296, 4043, 547, 581, 811, 6325, 982, 12616, 4296, 267, 607, 789, 616, 711, 1641, 547, 13779, 610, 5365, 2530, 563, 268, 17726, 281, 8447, 4296, 3622, 2709, 5488, 1239, 4483, 3928, 3379, 547, 12616, 4296, 563, 268, 8232, 281, 8447, 4296, 616, 811, 5150, 267, 607, 789, 616, 711, 11630, 547, 28892, 610, 18977, 1569, 563, 268, 853, 1464, 281, 8447, 4296, 1683, 513, 7123, 543, 5812, 4276, 267, 1510, 519, 15088, 602, 666, 2049, 609, 12616, 4296, 563, 268, 3281, 520, 2225, 281, 8447, 4296, 616, 1419, 15095, 609, 513, 2647, 2039, 540, 3457, 267, 1818, 873, 11684, 563, 4913, 267, 972, 616, 849, 930, 931, 547, 2168, 4296, 267, 971, 607, 519, 991, 585, 2168, 15791, 543, 519, 1761, 585, 10814, 3441, 269, 24410, 7632, 327, 17415, 2168, 4296, 3322, 10992, 585, 10690, 610, 8697, 15791, 267, 4180, 1697, 10814, 4296, 267, 543, 4152, 609, 1114, 15791, 952, 2556, 563, 26239, 11618, 543, 20010, 2776, 21752, 454, 26239, 11618, 585, 519, 8231, 2048, 6618, 685, 1331, 2048, 3430, 778, 685, 543, 2048, 21860, 16224, 1247, 4244, 840, 21752, 602, 666, 581, 1031, 609, 2048, 6618, 685, 616, 2048, 6618, 676, 16224, 2048, 6618, 693, 16224, 543, 2048, 6618, 998, 10200, 1452, 8925, 1683, 8112, 538, 11589, 1114, 2010, 540, 4296, 563, 4913, 267, 621, 568, 1271, 547, 4063, 602, 2048, 6618, 609, 685, 543, 2048, 6618, 547, 685, 616, 519, 1034, 2442, 721, 1137, 269, 2048, 21010, 609, 685, 568, 4122, 1031, 547, 4766, 1875, 14428, 9713, 6402, 1063, 3615, 543, 1004, 267, 13288, 547, 30608, 4296, 269, 2201, 519, 824, 1688, 267, 2048, 6618, 547, 685, 568, 1031, 585, 9308, 8220, 3688, 267, 1419, 5473, 5122, 3334, 269, 898, 729, 811, 2442, 538, 519, 476, 1960, 271, 338, 609, 519, 4473, 540, 519, 4950, 563, 13828, 2048, 6618, 609, 685, 543, 2048, 6618, 547, 685, 666, 581, 1031, 3927, 267, 855, 741, 6165, 5673, 593, 519, 2796, 543, 519, 2470, 540, 519, 4276, 1373, 4330, 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 ]
[ 5159, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4462, 21348, 540, 519, 2558, 534, 638, 1006, 631, 1872, 607, 606, 7087, 1374, 676, 5261, 3933, 6558, 454, 19185, 585, 513, 2189, 6204, 1597, 597, 547, 1491, 1753, 689, 3798, 3000, 2023, 286, 6733, 1100, 2417, 982, 519, 2558, 534, 638, 1006, 631, 1872, 267, 2966, 676, 7087, 7376, 5261, 3933, 6558, 269, 901, 544, 1872, 6763, 856, 689, 824, 6204, 1597, 15077, 1813, 547, 922, 8076, 543, 4190, 1374, 602, 9356, 7087, 2528, 269, 1306, 3933, 6558, 5128, 6941, 267, 834, 763, 2856, 3297, 1250, 960, 568, 547, 1711, 1945, 602, 24151, 1312, 2757, 10752, 543, 4207, 15312, 257, 630, 10955, 3000, 2023, 4750, 1040, 634, 2558, 534, 638, 1006, 631, 1872, 1281, 1175, 602, 609, 922, 6946, 27536, 3270, 538, 18707, 540, 4544, 267, 3039, 267, 543, 13711, 1996, 513, 3043, 4282, 269, 898, 781, 519, 3501, 1259, 547, 3142, 513, 4062, 540, 7087, 1148, 883, 707, 3232, 1272, 1247, 849, 5885, 2199, 5159, 563, 1432, 5036, 713, 544, 1872, 6306, 568, 711, 1152, 922, 10875, 1374, 855, 849, 519, 13007, 3297, 621, 269, 5261, 3933, 6558, 568, 606, 8366, 20421, 744, 329, 756, 3118, 7376, 1759, 538, 14411, 945, 5932, 4773, 6273, 676, 1010, 2686, 6561, 267, 1519, 29950, 1740, 543, 10367, 907, 5016, 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, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 1750, 29609, 338, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 589, 1066, 1405, 789, 1346, 2462, 7314, 602, 2196, 2731, 3728, 2496, 8334, 281, 22549, 256, 4258, 29609, 338, 616, 2965, 519, 16595, 2831, 593, 2244, 269, 1358, 666, 3914, 11250, 909, 547, 476, 2568, 610, 1256, 476, 3583, 5195, 829, 5662, 256, 2334, 781, 5488, 982, 1034, 6517, 2439, 7692, 281, 26272, 267, 602, 781, 5863, 256, 1809, 1946, 798, 1750, 29609, 338, 991, 547, 581, 865, 3728, 2496, 8334, 281, 4270, 267, 1750, 29609, 338, 616, 3710, 585, 3432, 269, 1358, 946, 741, 2656, 1145, 547, 6952, 741, 10352, 267, 899, 575, 1794, 21304, 610, 1507, 1884, 601, 2100, 269, 1403, 513, 1750, 29609, 4769, 1405, 2196, 3728, 2614, 267, 621, 9327, 1405, 581, 2111, 547, 3548, 543, 1131, 5555, 5182, 557, 269, 1924, 267, 1373, 3728, 2337, 1750, 29609, 338, 7639, 538, 519, 3552, 780, 7692, 281, 7937, 267, 594, 1294, 269, 898, 781, 2186, 540, 899, 950, 649, 5198, 547, 1205, 519, 1655, 10160, 1282, 7260, 942, 693, 1153, 256, 1284, 2196, 3728, 1317, 649, 1616, 547, 1205, 972, 1101, 780, 8334, 281, 670, 21036, 267, 9811, 267, 4010, 256, 3807, 899, 1750, 29609, 338, 267, 3006, 649, 991, 547, 581, 3728, 547, 3035, 938, 3853, 269, 3767, 267, 1705, 596, 917, 602, 1750, 29609, 338, 849, 723, 1390, 22231, 2496, 7692, 281, 1548, 1281, 1412, 698, 1006, 262, 1611, 2496, 8334, 281, 6153, 2243, 256, 3397, 1006, 1797, 2348, 519, 2702, 547, 1847, 3533, 543, 3362, 1247, 1869, 4509, 1852, 936, 707, 5322, 269, 1280, 1383, 267, 27590, 6814, 1397, 1390, 22231, 950, 7900, 1166, 2354, 543, 26357, 780, 7692, 281, 20944, 621, 256, 1656, 875, 568, 513, 1750, 29609, 26227, 2496, 8334, 281, 4270, 267, 5103, 741, 2450, 267, 1750, 29609, 338, 666, 1689, 4287, 1360, 3533, 1247, 31743, 1310, 741, 10352, 269, 4256, 8465, 12636, 2636, 873, 547, 1118, 8325, 7140, 267, 4543, 873, 3251, 593, 3950, 1256, 952, 741, 3077, 13290, 547, 9101, 269, 901, 22231, 2306, 873, 3811, 21962, 780, 7692, 281, 15346, 256, 594, 6999, 594, 1223, 581, 607, 26227, 607, 513, 1750, 29609, 269, 9320, 594, 666, 2259, 7432, 3533, 1247, 4730, 13558, 780, 8334, 281, 25999, 256, 28552, 22231, 666, 948, 596, 1831, 513, 1732, 19002, 269, 5457, 267, 1175, 899, 1750, 29609, 338, 267, 3425, 666, 4324, 689, 1373, 1312, 3728, 543, 26227, 538, 1082, 1114, 2081, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18698, 519, 10261, 585, 17726, 281, 1215, 16258, 2052, 513, 25460, 724, 1941, 14840, 888, 11854, 539, 568, 513, 9159, 2460, 540, 519, 3662, 10806, 267, 609, 1750, 29609, 338, 543, 9640, 1419, 4947, 547, 2247, 269, 1809, 723, 596, 2479, 9289, 827, 519, 3432, 540, 5731, 724, 27163, 286, 1452, 7068, 267, 1419, 29805, 607, 519, 968, 13563, 1884, 601, 8554, 2223, 616, 12021, 585, 741, 16190, 1145, 563, 1103, 713, 2376, 267, 649, 786, 5490, 883, 519, 1158, 540, 5731, 724, 27163, 543, 2263, 741, 7415, 3432, 267, 689, 741, 838, 11781, 532, 5759, 547, 519, 12105, 14624, 602, 1118, 873, 835, 540, 519, 16595, 2244, 2831, 563, 3383, 267, 1577, 779, 5734, 519, 2666, 4881, 543, 3605, 875, 3728, 513, 5731, 724, 1941, 666, 5963, 979, 563, 4504, 18166, 519, 25460, 724, 1941, 454, 303, 1258, 724, 27163, 630, 12901, 559, 665, 777, 571, 5643, 545, 3570, 264, 616, 5065, 547, 3345, 3013, 543, 616, 519, 6852, 17005, 2818, 540, 741, 1920, 267, 4165, 559, 665, 777, 5090, 2801, 269, 1358, 616, 1419, 19451, 585, 1884, 601, 8554, 267, 855, 5731, 724, 27163, 616, 513, 3982, 2249, 563, 4322, 26227, 2831, 616, 1634, 585, 741, 6909, 3432, 267, 22231, 267, 543, 2189, 2168, 2934, 563, 763, 10261, 585, 17726, 281, 1215, 16258, 2052, 25460, 724, 27163, 14840, 888, 2691, 621, 2501, 547, 803, 320, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10267, 29609, 17726, 543, 3397, 1006, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 12292, 1315, 8262, 19949, 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, 4495, 2390, 513, 942, 267, 538, 513, 6505, 543, 10477, 4884, 1572, 24442, 6807, 267, 972, 5030, 1082, 1114, 1004, 910, 7381, 3283, 267, 2110, 3283, 267, 2462, 3283, 267, 1507, 3283, 267, 2025, 3283, 267, 543, 1762, 3283, 269, 7324, 873, 941, 1614, 1655, 2828, 910, 11918, 531, 267, 513, 536, 1735, 1097, 4816, 7911, 267, 15207, 267, 513, 8049, 2186, 1120, 691, 1676, 267, 543, 6004, 269, 12722, 267, 513, 8797, 11361, 812, 945, 6068, 547, 4001, 1866, 827, 1514, 2257, 267, 799, 568, 1175, 513, 16681, 2262, 585, 1565, 827, 875, 1004, 2170, 609, 1142, 824, 780, 3080, 13566, 1554, 267, 607, 789, 5129, 1927, 267, 6004, 269, 12722, 4956, 621, 729, 942, 547, 2671, 1010, 7326, 269, 1261, 10356, 782, 519, 3214, 538, 519, 8378, 543, 3459, 10213, 2984, 827, 875, 1271, 621, 568, 585, 3025, 547, 581, 5701, 9425, 543, 31635, 267, 7488, 540, 741, 2450, 267, 2085, 610, 2960, 2681, 780, 257, 3963, 1281, 1250, 3659, 1924, 325, 807, 1413, 865, 1114, 982, 803, 8119, 4280, 2370, 11918, 531, 267, 4171, 2960, 1185, 513, 4190, 6960, 27280, 899, 10217, 780, 16031, 269, 12722, 20493, 27145, 267, 834, 11039, 11918, 531, 267, 596, 1294, 267, 649, 2811, 782, 2189, 256, 3807, 899, 875, 707, 5172, 4672, 8645, 666, 2097, 538, 1082, 10366, 1107, 29877, 267, 10217, 267, 12450, 9440, 1107, 3425, 849, 2097, 538, 1585, 18707, 267, 5546, 543, 7306, 269, 1656, 1169, 2582, 835, 540, 721, 814, 1945, 2027, 547, 3565, 547, 938, 2146, 15323, 20755, 3240, 6659, 1010, 1688, 23362, 267, 834, 1432, 827, 1373, 513, 7911, 610, 513, 8004, 267, 6004, 269, 12722, 286, 6496, 602, 1118, 1022, 3017, 12482, 21202, 327, 9811, 2437, 1767, 6004, 269, 12722, 24617, 267, 834, 18455, 513, 7911, 610, 513, 8004, 3085, 1405, 1689, 875, 1454, 2648, 543, 1416, 649, 17330, 269, 1809, 3006, 267, 4470, 593, 1141, 596, 2661, 543, 1018, 1004, 3494, 267, 1978, 2516, 1522, 3068, 811, 2591, 1813, 547, 15490, 3652, 610, 11475, 269, 1280, 1383, 267, 1705, 596, 917, 602, 1256, 1498, 9002, 267, 8695, 543, 2367, 540, 2681, 616, 8449, 5827, 267, 789, 949, 711, 2141, 1205, 3160, 8458, 547, 8011, 538, 1153, 610, 960, 3274, 1759, 593, 14882, 12482, 297, 600, 531, 6743, 7138, 1194, 267, 834, 3719, 1946, 1131, 4896, 798, 602, 12482, 257, 6546, 781, 513, 1390, 2243, 267, 11918, 531, 2437, 14452, 6004, 269, 12722, 3461, 569, 269, 834, 2791, 1294, 267, 3006, 950, 1004, 1810, 1405, 1174, 1945, 1007, 610, 1114, 267, 789, 1831, 12922, 610, 18516, 269, 5502, 540, 6998, 2055, 543, 1565, 811, 267, 789, 1711, 10054, 1510, 6616, 519, 5013, 269, 2334, 5012, 547, 8156, 1866, 796, 11779, 569, 267, 543, 602, 3884, 1405, 4023, 3010, 3891, 4797, 267, 834, 1607, 568, 4010, 1946, 649, 991, 811, 7391, 1063, 1114, 5686, 540, 1004, 269, 1284, 1616, 3025, 547, 1745, 3769, 543, 12595, 269, 1635, 4687, 938, 2833, 543, 6947, 547, 835, 1776, 267, 649, 1451, 547, 5660, 938, 3604, 1247, 16734, 602, 2620, 1524, 267, 649, 2811, 782, 7567, 3010, 4504, 29098, 676, 891, 1913, 267, 519, 1453, 26823, 3022, 547, 3262, 11587, 543, 1620, 2429, 24442, 6807, 269, 1358, 16219, 547, 1331, 3025, 538, 3756, 1282, 12424, 267, 6432, 18906, 1947, 547, 741, 15032, 262, 2093, 267, 543, 2307, 2055, 8164, 789, 11402, 2576, 14542, 780, 5804, 1287, 593, 267, 10103, 5963, 556, 11220, 936, 24442, 6807, 269, 4658, 4121, 689, 1142, 824, 267, 9976, 741, 22464, 525, 267, 543, 5249, 2509, 2679, 513, 1732, 2486, 585, 782, 922, 2818, 269, 3143, 2339, 952, 789, 941, 9002, 267, 8695, 267, 610, 2367, 282, 1100, 2339, 1018, 2681, 741, 2960, 729, 1107, 3025, 5433, 2938, 267, 4862, 267, 543, 15197, 780, 4517, 998, 621, 782, 267, 938, 15210, 2828, 11918, 531, 267, 15207, 267, 543, 6004, 269, 12722, 6039, 607, 26124, 1806, 540, 8296, 267, 6568, 267, 543, 25349, 7279, 269, 4256, 2395, 2968, 4904, 609, 17409, 267, 11505, 267, 543, 11995, 8906, 827, 2933, 543, 1346, 1472, 873, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 289, 28320, 267, 27258, 267, 543, 9093, 540, 7822, 454, 24375, 940, 2038, 538, 1272, 8695, 543, 1762, 2367, 540, 2681, 616, 693, 1981, 1317, 540, 741, 5198, 270, 30710, 640, 543, 741, 4008, 267, 609, 3875, 1239, 2959, 25967, 1681, 519, 19605, 543, 7317, 4220, 602, 8695, 540, 2681, 7237, 269, 901, 5870, 786, 1445, 593, 930, 540, 519, 2565, 2152, 4867, 7133, 519, 11095, 4567, 540, 9002, 267, 8695, 267, 543, 2367, 630, 655, 1120, 532, 4079, 264, 540, 2681, 267, 609, 513, 2178, 8561, 593, 1620, 875, 2833, 2066, 2789, 1883, 8658, 3337, 741, 1646, 269, 634, 3376, 3853, 540, 713, 10554, 616, 547, 17412, 519, 1533, 540, 1702, 538, 519, 1858, 543, 547, 2697, 1883, 8846, 2877, 585, 1702, 543, 2962, 269, 634, 5870, 786, 2709, 3255, 585, 5640, 547, 1865, 543, 4309, 5955, 2104, 1382, 543, 1568, 538, 3356, 563, 268, 8281, 519, 5358, 6651, 454, 268, 25873, 519, 2407, 6732, 5358, 454, 268, 7348, 519, 11910, 585, 4427, 332, 3827, 454, 268, 32310, 1344, 454, 268, 10812, 519, 12833, 1243, 5358, 454, 268, 700, 4875, 28914, 15638, 454, 26524, 286, 19478, 18078, 17106, 11333, 1701, 780, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 24205, 1315, 4937, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4517, 1082, 781, 519, 4832, 19806, 558, 281, 296, 5116, 609, 8371, 2571, 543, 3039, 281, 10666, 1200, 575, 648, 3613, 7134, 536, 657, 558, 281, 296, 649, 696, 543, 21098, 539, 1200, 10036, 2275, 1245, 1351, 335, 572, 281, 10190, 32357, 522, 262, 518, 1130, 324, 543, 14860, 281, 7069, 642, 3188, 766, 593, 519, 535, 4141, 547, 20739, 752, 281, 4407, 2571, 12798, 695, 809, 519, 24061, 454, 281, 3719, 1973, 585, 1973, 1510, 1121, 16017, 281, 296, 4312, 3144, 693, 744, 592, 691, 4591, 869, 281, 4517, 9788, 1250, 3020, 2648, 781, 10036, 2275, 1245, 1351, 335, 572, 281, 8489, 594, 2407, 4166, 949, 1246, 281, 2026, 1412, 1037, 1200, 18205, 594, 32603, 26927, 541, 281, 301, 3019, 267, 3781, 543, 6640, 2038, 281, 4415, 8840, 2295, 950, 552, 262, 518, 594, 5873, 281, 763, 2842, 602, 695, 1389, 519, 24061, 454, 265, 1496, 10674, 2517, 4178, 6230, 691, 785, 731, 529, 2593, 270, 573, 4510, 274, 11258, 10370, 7879, 543, 13176, 22334, 2639, 763, 5152, 814, 1044, 4988, 676, 1082, 5159, 1519, 454, 763, 932, 773, 1111, 1622, 267, 634, 25212, 619, 267, 634, 22469, 15541, 1132, 267, 26541, 2803, 3223, 2033, 267, 16458, 2052, 19933, 4433, 2426, 676, 23436, 15168, 337, 731, 1070, 3752, 553, 267, 634, 1849, 3599, 29564, 267, 16299, 717, 2795, 534, 267, 18179, 22966, 1206, 267, 2549, 7701, 6022, 1067, 267, 9605, 1341, 10979, 267, 634, 9721, 10162, 951, 267, 717, 869, 267, 20155, 267, 5062, 11390, 1197, 781, 9061, 532, 267, 8861, 8614, 2763, 10964, 8061, 320, 663, 9410, 2961, 20321, 563, 288, 6648, 676, 519, 1482, 2012, 729, 3370, 676, 454, 2005, 729, 12286, 538, 519, 476, 1220, 277, 9721, 8366, 10888, 4670, 634, 6489, 2334, 1744, 1389, 519, 4446, 2917, 1282, 519, 6429, 540, 513, 12687, 269, 1323, 818, 14141, 618, 585, 20389, 289, 1781, 597, 676, 700, 4768, 773, 589, 269, 5975, 1206, 729, 3370, 676, 9546, 2023, 8535, 23549, 538, 476, 1220, 279, 563, 310, 1731, 12855, 7690, 269, 476, 1001, 271, 563, 16100, 693, 824, 21594, 912, 763, 6489, 2334, 1744, 1389, 519, 4446, 2917, 2443, 949, 3277, 547, 17041, 634, 6489, 2334, 1744, 1389, 519, 4446, 2917, 630, 338, 784, 1070, 513, 476, 866, 628, 2540, 9721, 5152, 2854, 676, 7917, 667, 342, 9807, 20717, 576, 2608, 634, 6489, 2334, 1744, 1389, 519, 4446, 2917, 630, 28291, 1070, 513, 476, 1220, 277, 9721, 4670, 9859, 676, 8230, 10753, 778, 602, 3217, 922, 2012, 689, 519, 5152, 2560, 9504, 454, 763, 6489, 2334, 1744, 1389, 519, 4446, 2917, 630, 28291, 264, 2443, 5606, 984, 2135, 17912, 2012, 815, 634, 6489, 2334, 1744, 1389, 634, 4446, 2917, 1309, 1632, 815, 8689, 815, 8230, 10753, 778, 16073, 815, 31929, 744, 645, 31151, 14557, 14670, 2762, 815, 31550, 25532, 5797, 323, 5856, 815, 6754, 5487, 6696, 588, 18732, 815, 595, 650, 1014, 32298, 22087, 571, 545, 5548, 2033, 344, 2107, 5055, 32684, 700, 3554, 595, 7342, 5069, 2575, 815, 2507, 2560, 9504, 454, 763, 6489, 2334, 1744, 1389, 519, 4446, 2917, 2443, 17912, 323, 22760, 1546, 583, 2675, 615, 25315, 601, 634, 6489, 2334, 1744, 1389, 519, 4446, 2917, 21277, 19241, 687, 1633, 7671, 516, 747, 7054, 1633, 2560, 1546, 28852, 9504, 454, 763, 20429, 540, 519, 4658, 2443, 568, 606, 16320, 1108, 540, 12563, 8964, 23475, 676, 12465, 2206, 619, 540, 4789, 10430, 12986, 543, 8581, 269, 2467, 616, 476, 276, 1556, 19827, 593, 476, 736, 7131, 338, 267, 16432, 676, 3220, 3204, 8065, 267, 513, 14787, 693, 12246, 16303, 2160, 269, 634, 2206, 619, 941, 28245, 1369, 741, 1378, 2146, 2560, 9504, 454, 763, 631, 636, 11302, 262, 19933, 2443, 17266, 676, 22784, 6511, 21025, 3317, 8636, 689, 519, 17581, 634, 3883, 540, 31981, 2560, 9504, 454, 763, 670, 4669, 24522, 518, 2443, 670, 4669, 24522, 518, 28570, 338, 1934, 269, 1280, 519, 5152, 676, 1977, 681, 1952, 518, 2473, 345, 756, 527, 267, 1294, 670, 4669, 24522, 518, 630, 338, 784, 1040, 634, 670, 4669, 24522, 518, 2560, 9504, 454, 305, 3716, 28477, 14576, 12039, 2443, 634, 681, 3716, 28477, 14576, 12039, 568, 513, 6538, 540, 476, 4968, 267, 1822, 8100, 547, 936, 476, 2641, 267, 7785, 8964, 602, 723, 1044, 6394, 689, 5711, 2245, 538, 519, 2296, 1893, 689, 782, 936, 519, 1158, 269, 898, 568, 513, 4999, 540, 519, 16340, 2515, 12039, 630, 2745, 539, 2959, 1354, 2507, 2560, 9504, 454, 4504, 334, 519, 6997, 31307, 630, 531, 321, 636, 264, 2443, 5606, 984, 2135, 19186, 636, 1923, 8745, 815, 20553, 519, 6997, 31307, 7392, 815, 22456, 30310, 815, 16458, 2052, 19933, 1234, 548, 1078, 815, 476, 1724, 5181, 476, 1960, 274, 630, 20084, 264, 476, 1691, 5181, 476, 1960, 274, 630, 4785, 264, 16680, 539, 815, 2038, 476, 1960, 274, 2637, 516, 815, 23532, 12760, 267, 19744, 4224, 20099, 815, 476, 4649, 281, 2918, 630, 7374, 264, 476, 4792, 281, 1839, 630, 10861, 264, 22443, 815, 476, 275, 4696, 630, 20084, 264, 2507, 2560, 9504, 454, 307, 578, 731, 519, 1369, 2443, 19186, 636, 1612, 16458, 2052, 19933, 23037, 773, 476, 2190, 12354, 984, 516, 476, 1960, 275, 2037, 2958, 626, 516, 618, 562, 913, 3387, 516, 476, 1960, 274, 20221, 2904, 325, 1515, 20989, 267, 13244, 3933, 3821, 20736, 19902, 476, 6858, 1295, 476, 6321, 338, 269, 2637, 516, 4433, 264, 2560, 654, 7253, 2946, 29953, 679, 31839, 9820, 454, 307, 578, 731, 519, 10738, 2443, 19186, 636, 1612, 16458, 2052, 19933, 23037, 773, 476, 2190, 12354, 984, 516, 476, 1960, 275, 2037, 2958, 626, 516, 618, 562, 913, 3387, 516, 476, 1960, 274, 20221, 2904, 325, 1515, 20989, 267, 13244, 3933, 3821, 20736, 19902, 476, 6858, 1295, 476, 6321, 338, 269, 2637, 516, 2560, 654, 7253, 2946, 29953, 679, 31839, 9820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1284, 786, 2263, 875, 2188, 971, 607, 2804, 2175, 267, 2825, 2242, 267, 543, 1514, 3889, 666, 3565, 547, 519, 13438, 540, 1978, 2950, 543, 6080, 1282, 2053, 540, 6433, 269, 3414, 606, 6514, 540, 2487, 7835, 538, 7460, 781, 6694, 5823, 267, 1519, 922, 3210, 547, 519, 5046, 268, 866, 6855, 543, 824, 2591, 267, 649, 786, 2744, 513, 4514, 1620, 540, 519, 10848, 3238, 538, 10647, 13438, 10526, 780, 2414, 2253, 267, 1577, 721, 5581, 1018, 649, 1611, 676, 13438, 4879, 269, 4340, 547, 519, 2136, 8315, 8433, 585, 28155, 11485, 22159, 630, 7419, 11403, 305, 1070, 513, 13438, 4879, 568, 834, 1492, 1184, 540, 7114, 543, 7421, 519, 2470, 543, 6708, 540, 4220, 602, 21279, 10820, 267, 2950, 267, 4525, 543, 2829, 1701, 898, 3322, 6313, 1585, 2188, 602, 3310, 513, 2146, 781, 2702, 547, 4431, 547, 543, 9156, 689, 21463, 267, 971, 607, 2067, 10898, 267, 2804, 28654, 267, 610, 2797, 16132, 269, 1635, 7114, 891, 16426, 267, 14519, 543, 8639, 666, 1732, 1174, 875, 547, 21138, 2200, 543, 2936, 2994, 547, 2569, 1981, 543, 1628, 6043, 780, 1103, 519, 2013, 540, 7460, 781, 6683, 2872, 267, 972, 616, 1896, 1883, 2188, 602, 3565, 547, 922, 13438, 269, 2290, 2101, 3815, 568, 519, 13829, 593, 513, 7123, 4346, 269, 1306, 7074, 538, 519, 1349, 3177, 267, 7460, 4810, 1713, 2208, 538, 3484, 1633, 2418, 538, 476, 1708, 272, 267, 609, 4679, 20546, 532, 1346, 540, 15231, 16899, 269, 1717, 267, 713, 2208, 949, 849, 1118, 519, 2872, 811, 7925, 547, 2804, 15125, 5281, 610, 2344, 15088, 269, 1280, 3236, 267, 952, 3747, 585, 7460, 3132, 941, 547, 7771, 1813, 547, 4657, 7082, 7375, 610, 4123, 13882, 267, 6705, 1223, 3068, 2883, 27465, 269, 6684, 267, 6727, 26389, 538, 3403, 3790, 267, 971, 607, 18168, 610, 3049, 267, 1223, 2322, 2604, 593, 2907, 6094, 7443, 19114, 780, 5194, 1271, 3815, 7700, 547, 7460, 781, 6694, 13438, 568, 519, 16126, 593, 12119, 4074, 269, 3509, 11396, 7048, 593, 10151, 4914, 4600, 547, 2030, 267, 7556, 267, 543, 1184, 7031, 269, 634, 5046, 268, 866, 6855, 12006, 519, 4220, 2404, 609, 713, 21341, 950, 8473, 5008, 999, 543, 2951, 9993, 1500, 621, 2352, 585, 27540, 4600, 547, 4283, 519, 2197, 269, 3958, 267, 4145, 827, 2713, 543, 2324, 2175, 585, 891, 2043, 6659, 2055, 827, 741, 2949, 2126, 543, 8171, 269, 23496, 1569, 547, 513, 6325, 13781, 1247, 5466, 2152, 540, 9698, 543, 14619, 3788, 513, 2565, 4161, 6849, 519, 2872, 780, 20245, 2188, 849, 1404, 513, 1909, 538, 7460, 781, 6694, 13438, 269, 8693, 1689, 13514, 3875, 6937, 547, 8105, 4238, 267, 1519, 2799, 4908, 543, 10335, 540, 3665, 4365, 2621, 267, 12012, 3395, 12405, 267, 543, 13346, 13247, 3270, 269, 1452, 2242, 666, 1291, 547, 7693, 14286, 267, 4389, 11729, 267, 543, 8519, 1216, 8244, 267, 782, 540, 799, 1764, 519, 5377, 1899, 585, 6705, 269, 5015, 267, 10860, 543, 3676, 602, 8853, 896, 15911, 5210, 666, 3262, 6385, 2429, 11630, 2127, 267, 4929, 3606, 3441, 780, 3086, 602, 649, 723, 4857, 930, 540, 519, 1883, 2188, 7700, 547, 7460, 781, 6694, 13438, 267, 1577, 721, 4983, 875, 891, 2609, 12969, 543, 2170, 547, 1711, 31903, 4220, 269, 1280, 3236, 267, 606, 2804, 21748, 1223, 1267, 538, 1447, 25551, 4747, 1851, 6800, 267, 3056, 547, 2539, 3747, 585, 1164, 17032, 2472, 899, 5214, 5613, 543, 5388, 269, 2311, 519, 1482, 942, 267, 2916, 1689, 1223, 2014, 7693, 9271, 543, 2362, 2504, 3790, 267, 2417, 2269, 1456, 16027, 18083, 269, 5410, 547, 713, 9183, 513, 21276, 12176, 540, 513, 2068, 7133, 13184, 610, 16738, 5095, 267, 543, 519, 1761, 5222, 1831, 1256, 811, 4049, 780, 3519, 2265, 532, 513, 13438, 4879, 2636, 8639, 547, 2697, 543, 2232, 891, 10562, 4220, 30082, 269, 901, 1522, 4125, 7598, 4507, 6322, 693, 4129, 4328, 6990, 543, 4227, 16126, 593, 2582, 21113, 282, 10115, 538, 1382, 543, 1646, 547, 2087, 10980, 10892, 543, 11641, 4187, 538, 7031, 282, 610, 14957, 585, 4824, 11832, 20038, 543, 13848, 547, 2327, 513, 7123, 543, 9952, 4074, 3196, 269, 1635, 2921, 513, 11455, 1935, 547, 5883, 1981, 267, 2950, 543, 6080, 666, 1628, 3152, 6043, 543, 13916, 780, 2005, 568, 1898, 547, 4063, 602, 13438, 10526, 1058, 581, 16135, 538, 3741, 540, 5126, 543, 9698, 269, 2353, 1932, 1419, 267, 12790, 2516, 7703, 519, 20015, 660, 540, 16839, 543, 12469, 1813, 547, 11528, 7496, 543, 25641, 2853, 269, 769, 519, 2796, 540, 7460, 781, 6683, 2872, 267, 7087, 2950, 267, 1507, 8397, 6705, 267, 543, 19366, 4600, 949, 1995, 15398, 13438, 1813, 547, 3140, 17181, 267, 3908, 1569, 547, 2200, 267, 610, 3348, 13895, 7694, 3871, 269, 23496, 12581, 6041, 543, 7589, 538, 3375, 6194, 3157, 568, 2629, 547, 3384, 2500, 2994, 602, 4324, 782, 2818, 540, 2486, 780, 7661, 267, 621, 568, 4502, 6236, 5571, 3646, 547, 1489, 7460, 781, 6683, 5823, 538, 1769, 540, 519, 2591, 5941, 1934, 269, 10765, 7341, 1331, 7616, 3292, 6322, 693, 5885, 5647, 543, 2029, 10073, 267, 2866, 3255, 5059, 593, 6940, 543, 2916, 9542, 267, 543, 10319, 12352, 1063, 2229, 8041, 267, 4081, 5238, 267, 543, 4357, 4213, 269, 1635, 7535, 532, 1702, 267, 6791, 267, 543, 2200, 267, 891, 3646, 2832, 547, 7794, 519, 6043, 540, 7460, 781, 6683, 2872, 543, 2149, 1996, 2104, 28654, 780, 1103, 3932, 267, 13438, 10526, 1683, 3407, 4030, 883, 519, 2189, 4220, 5185, 676, 1114, 9922, 543, 2950, 1282, 2053, 540, 6433, 269, 3414, 606, 6514, 540, 7460, 781, 6683, 2872, 267, 649, 723, 8268, 875, 2188, 971, 607, 2804, 2175, 267, 4074, 6384, 267, 543, 2825, 2242, 666, 3565, 547, 606, 11769, 781, 13438, 269, 1677, 3927, 4383, 1981, 543, 1628, 6043, 267, 621, 568, 2556, 547, 9772, 513, 3102, 1935, 602, 15109, 1312, 7525, 2115, 543, 1279, 3856, 3853, 269, 11086, 267, 2502, 538, 13438, 10526, 6087, 14519, 267, 9439, 267, 543, 2146, 2818, 7567, 547, 3895, 4264, 1646, 267, 16102, 24454, 267, 543, 6536, 811, 8537, 543, 12581, 7239, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8070, 24490, 267, 7490, 2132, 25613, 601, 1853, 762, 10297, 547, 281, 13474, 5020, 538, 7460, 476, 3607, 667, 1446, 10003, 661, 837, 2421, 267, 7460, 966, 271, 292, 476, 272, 309, 275, 7563, 2793, 6395, 18161, 4306, 2464, 18161, 4306, 11404, 2793, 6395, 5403, 720, 6976, 5800, 2628, 2946, 23549, 25357, 5403, 6261, 3016, 725, 476, 6110, 13199, 2420, 14157, 269, 476, 10482, 3143, 269, 275, 763, 6694, 3377, 2707, 538, 3703, 12052, 2094, 476, 4489, 276, 6673, 6020, 299, 476, 1708, 273, 1923, 5292, 269, 476, 10482, 3143, 269, 476, 275, 15709, 308, 3951, 7460, 293, 16598, 24259, 9021, 267, 5654, 6619, 476, 278, 623, 5495, 299, 15045, 312, 26560, 25210, 593, 4585, 585, 26624, 14798, 476, 1556, 700, 4353, 12239, 8016, 298, 23267, 17732, 814, 705, 16201, 15077, 554, 690, 339, 1221, 476, 866, 303, 4953, 2207, 631, 18952, 4456, 9474, 19447, 4811, 293, 16704, 1107, 7460, 3366, 5375, 4516, 538, 12426, 15894, 4516, 779, 5993, 5619, 540, 3484, 1633, 2418, 267, 609, 2208, 547, 6137, 476, 1240, 260, 538, 476, 1708, 272, 1107, 519, 16999, 2333, 538, 513, 8717, 269, 968, 2171, 3100, 547, 723, 513, 3787, 540, 606, 10231, 538, 519, 2557, 540, 2333, 2223, 1767, 674, 6717, 8783, 30168, 31179, 717, 969, 9820, 538, 9306, 519, 26998, 902, 547, 2923, 538, 4571, 5336, 1105, 269, 13780, 958, 267, 3484, 1633, 2418, 9782, 476, 279, 269, 274, 9077, 3366, 676, 14411, 693, 476, 2420, 269, 273, 10065, 7460, 19486, 2034, 693, 476, 1240, 269, 272, 10065, 901, 729, 1134, 1657, 519, 1964, 540, 519, 7178, 267, 609, 22598, 3484, 1633, 2418, 8375, 1175, 476, 274, 269, 277, 9077, 32527, 520, 3832, 9774, 909, 476, 278, 269, 277, 260, 543, 31671, 20899, 909, 476, 280, 269, 280, 260, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 2598, 7539, 1299, 28155, 28057, 1315, 23977, 1676, 1464, 10495, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 4197, 31071, 8881, 543, 22769, 692, 5331, 596, 2811, 2324, 538, 513, 12051, 602, 2306, 11442, 11608, 269, 1411, 6108, 707, 2395, 8380, 1927, 6263, 24039, 267, 11443, 11387, 267, 543, 7206, 6126, 8188, 5196, 891, 2370, 6191, 269, 898, 781, 1187, 267, 855, 972, 616, 849, 930, 4220, 3238, 32503, 723, 547, 6023, 8325, 2645, 267, 3905, 19267, 267, 543, 5230, 12227, 269, 3767, 4952, 952, 707, 9036, 4769, 1405, 1491, 1022, 3800, 547, 1832, 596, 2922, 256, 2334, 9327, 1405, 581, 4023, 610, 1318, 267, 1131, 621, 2496, 299, 3089, 1176, 267, 6608, 1472, 519, 1158, 1416, 827, 1004, 899, 596, 267, 865, 789, 2813, 3652, 543, 6042, 547, 2327, 15327, 543, 824, 28737, 1683, 3106, 3937, 267, 1697, 2866, 267, 543, 1246, 4808, 547, 7413, 10913, 543, 7063, 269, 2290, 971, 3919, 3743, 585, 11832, 4027, 538, 3013, 568, 1572, 519, 27706, 8881, 543, 2657, 10029, 630, 5308, 11190, 1040, 1358, 3715, 4441, 543, 17997, 873, 998, 24422, 267, 20507, 267, 543, 2069, 3292, 780, 4131, 781, 2263, 875, 713, 1568, 1210, 938, 8773, 12051, 1383, 1384, 265, 2878, 32552, 16811, 4995, 13013, 11190, 3340, 12820, 547, 3761, 3617, 8825, 10591, 1759, 593, 5520, 262, 4247, 269, 1280, 3236, 267, 950, 7829, 13818, 2326, 267, 596, 1522, 5957, 17309, 267, 3106, 14296, 267, 610, 1256, 513, 2027, 9290, 269, 1879, 5665, 26776, 12227, 267, 1274, 680, 13903, 949, 581, 2556, 780, 265, 2878, 32086, 4995, 6969, 4358, 1022, 2816, 5473, 1761, 8594, 267, 4600, 991, 9488, 6044, 593, 9108, 7900, 782, 2838, 11645, 269, 2311, 519, 8773, 12051, 267, 596, 1223, 1451, 827, 5883, 27871, 547, 2061, 2468, 6137, 267, 13936, 7727, 5265, 267, 543, 9301, 4191, 540, 9854, 1354, 789, 1291, 547, 32657, 2355, 780, 265, 2878, 19894, 28018, 687, 4995, 6554, 8524, 832, 3643, 4213, 5781, 547, 13182, 10220, 609, 3106, 10873, 269, 1403, 19374, 2049, 267, 3549, 666, 3068, 22717, 610, 3656, 2962, 269, 1452, 11564, 10996, 643, 1125, 20148, 525, 547, 2226, 2922, 2175, 11179, 780, 3086, 1577, 781, 1589, 3564, 1175, 835, 3184, 1765, 6343, 4523, 952, 2576, 1045, 757, 1945, 7357, 1007, 286, 1215, 798, 649, 917, 2436, 621, 781, 2922, 610, 5906, 286, 4270, 267, 3906, 899, 13013, 11190, 12840, 5702, 609, 3744, 543, 4966, 547, 1353, 6932, 4066, 543, 9337, 4808, 9935, 269, 1306, 18563, 11457, 936, 942, 267, 865, 1932, 1281, 938, 1620, 540, 1655, 2853, 547, 2149, 1346, 945, 946, 873, 780, 1103, 3932, 267, 3314, 602, 1373, 5483, 827, 9036, 2924, 543, 9021, 2337, 3025, 3251, 10930, 543, 18668, 1247, 3257, 741, 6009, 269, 6787, 596, 1831, 606, 16106, 267, 27697, 267, 4116, 267, 4387, 267, 610, 9811, 267, 1256, 513, 8773, 32063, 14693, 267, 6616, 827, 3106, 5773, 786, 2141, 4324, 596, 269, 13773, 8049, 267, 2307, 2055, 267, 543, 2760, 30391, 519, 2956, 540, 5329, 3054, 6870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5649, 19129, 29729, 26488, 281, 589, 11846, 32652, 1290, 525, 11162, 2201, 634, 667, 8812, 6355, 2986, 5441, 25624, 454, 325, 3796, 281, 13013, 11190, 476, 4335, 610, 476, 26341, 267, 1614, 263, 476, 274, 264, 27960, 1224, 19129, 29729, 26488, 281, 589, 11846, 32652, 1290, 525, 11162, 593, 519, 667, 8812, 6355, 540, 5441, 25624, 1543, 15074, 267, 543, 1374, 540, 519, 10551, 22743, 313, 310, 8008, 2207, 674, 269, 28623, 281, 9499, 945, 2119, 547, 1569, 607, 1007, 4589, 538, 519, 13013, 11190, 4934, 18943, 9751, 5358, 1590, 5612, 1711, 513, 9864, 5951, 1790, 871, 564, 693, 519, 1072, 540, 519, 2229, 269, 476, 28794, 273, 693, 2547, 1169, 2185, 5468, 547, 1118, 741, 1888, 5758, 269, 13013, 11190, 476, 7785, 271, 910, 7502, 8632, 667, 14280, 6092, 585, 17437, 8549, 2042, 901, 1981, 1772, 2139, 5201, 1689, 1377 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 15977, 6808, 2534, 538, 1747, 0, 268, 2142, 530, 776, 540, 733, 3949, 281, 3509, 2228, 733, 3949, 9621, 1804, 26065, 1223, 581, 1085, 4461, 971, 607, 2959, 540, 2780, 8290, 602, 786, 2119, 547, 554, 6359, 871, 707, 1344, 563, 268, 7827, 707, 18538, 281, 5620, 596, 1185, 519, 1482, 10957, 585, 519, 2063, 2947, 1296, 286, 898, 779, 942, 547, 1689, 621, 909, 269, 8073, 513, 10957, 602, 568, 1279, 543, 7294, 267, 543, 3085, 1406, 4704, 1022, 540, 707, 2123, 1344, 899, 707, 14512, 269, 13773, 2476, 689, 1210, 17396, 2453, 676, 8840, 909, 1913, 609, 608, 17474, 2798, 543, 824, 6698, 267, 543, 540, 1576, 267, 1810, 1406, 946, 519, 6093, 968, 10139, 5320, 892, 610, 968, 9340, 272, 1848, 898, 779, 849, 2629, 602, 596, 946, 513, 1114, 10957, 585, 1142, 2272, 269, 1403, 596, 991, 948, 609, 713, 267, 2119, 1210, 513, 10957, 29256, 3079, 540, 3843, 547, 27655, 873, 782, 3054, 563, 268, 6744, 7270, 281, 5269, 2386, 602, 519, 7270, 596, 2461, 1210, 616, 5150, 269, 1677, 24390, 707, 8458, 540, 4742, 513, 6408, 540, 5491, 3556, 17403, 267, 1152, 4283, 707, 5491, 3556, 1344, 593, 4609, 609, 15745, 338, 4098, 609, 968, 10059, 1848, 634, 968, 338, 892, 538, 519, 2232, 6763, 585, 968, 31261, 2223, 543, 13071, 596, 917, 602, 707, 4276, 547, 519, 3135, 568, 1447, 2693, 547, 581, 13327, 523, 676, 21190, 269, 901, 568, 2523, 1271, 8164, 596, 616, 10024, 6213, 1344, 267, 971, 607, 5491, 3556, 610, 4317, 8232, 2338, 563, 268, 6744, 707, 5491, 1867, 281, 1306, 519, 1439, 540, 519, 1032, 4485, 267, 1491, 513, 1413, 693, 707, 5491, 1867, 547, 2638, 585, 538, 3147, 340, 20874, 607, 1134, 607, 6895, 707, 5491, 6060, 269, 5272, 1268, 666, 4309, 835, 1863, 1867, 689, 1142, 540, 519, 1614, 5491, 536, 675, 9476, 563, 268, 15147, 909, 281, 1744, 1752, 707, 32259, 610, 5491, 3556, 543, 623, 2562, 1297, 689, 2070, 950, 1818, 8852, 865, 602, 555, 773, 1407, 666, 1406, 21102, 707, 2338, 676, 3168, 936, 707, 13105, 563, 268, 5213, 1406, 3972, 1857, 31923, 281, 898, 779, 15673, 532, 547, 798, 707, 2228, 10918, 693, 10060, 321, 15085, 267, 855, 596, 12582, 1406, 3972, 1857, 31923, 5121, 547, 2149, 707, 3961, 563, 268, 19478, 609, 1416, 281, 5213, 1406, 10505, 2123, 1344, 3842, 4757, 267, 1256, 952, 621, 779, 585, 513, 18019, 3919, 563, 268, 8307, 946, 835, 5491, 3556, 281, 19255, 4771, 2228, 568, 513, 1360, 3608, 1259, 547, 1205, 1169, 6221, 593, 707, 1592, 13761, 1055, 267, 855, 2015, 2081, 596, 666, 2259, 4950, 3106, 269, 1280, 3236, 267, 1374, 622, 835, 5491, 3556, 585, 2228, 10918, 5301, 267, 3079, 540, 1210, 2789, 3283, 2066, 1114, 4609, 563, 268, 6875, 621, 609, 596, 281, 14740, 17403, 3085, 1406, 1152, 4755, 936, 519, 4950, 269, 634, 7128, 849, 18973, 1996, 6028, 3688, 538, 519, 1286, 607, 596, 979, 10918, 269, 1403, 2576, 9397, 883, 707, 6174, 267, 789, 1223, 21102, 1945, 602, 8761, 707, 3961, 543, 12662, 707, 1344, 693, 1981, 563, 268, 22352, 707, 3301, 281, 8281, 519, 5767, 28456, 543, 3354, 3301, 593, 707, 2780, 267, 547, 1118, 2386, 707, 1062, 568, 909, 3562, 15082, 543, 5423, 547, 3713, 13986, 32042, 563, 268, 5623, 707, 4871, 3948, 5781, 281, 26532, 29750, 782, 12948, 8852, 543, 5612, 1867, 1022, 19035, 8852, 547, 519, 4871, 563, 268, 5623, 707, 2256, 328, 14186, 281, 5623, 707, 2256, 328, 14186, 585, 16306, 1500, 547, 2327, 596, 616, 1152, 9901, 585, 1018, 596, 2965, 11751, 693, 519, 4558, 610, 2228, 563, 268, 11408, 3346, 519, 4871, 952, 596, 991, 6351, 609, 707, 2272, 281, 26478, 7813, 7082, 3556, 6868, 616, 711, 25964, 585, 1022, 18977, 10997, 4080, 538, 513, 12905, 6073, 563, 268, 5213, 1406, 946, 1857, 31923, 281, 8347, 547, 2057, 1857, 31923, 5121, 950, 596, 2461, 2921, 5413, 540, 782, 519, 1390, 9702, 6455, 2139, 2228, 454, 269, 5398, 31923, 568, 8748, 585, 3168, 909, 2489, 1344, 267, 855, 952, 596, 2461, 17034, 707, 4871, 2272, 610, 10024, 6213, 1344, 899, 513, 32259, 610, 5491, 3556, 1297, 610, 10957, 267, 1287, 621, 779, 1454, 10930, 547, 798, 865, 936, 513, 4357, 4276, 563, 268, 7427, 891, 3652, 593, 707, 5985, 3926, 267, 1932, 281, 3509, 1004, 5749, 1406, 7996, 547, 1376, 741, 9702, 10918, 593, 4563, 11016, 15042, 269, 769, 1249, 267, 6800, 723, 3323, 547, 946, 968, 300, 9394, 13628, 892, 607, 513, 17259, 1055, 1448, 267, 950, 789, 2228, 6300, 936, 741, 5985, 3457, 593, 21175, 4303, 269, 3807, 1118, 2386, 547, 1246, 519, 1482, 3354, 4808, 596, 798, 593, 513, 18376, 2780, 267, 543, 25837, 538, 930, 942, 585, 1426, 543, 1920, 563, 268, 22695, 648, 6402, 281, 5213, 1406, 4945, 593, 1402, 1575, 18537, 610, 838, 20632, 15737, 602, 9153, 5863, 9388, 269, 8437, 532, 593, 835, 540, 891, 14353, 4609, 1223, 14207, 707, 3354, 543, 2123, 1344, 269, 15439, 4945, 519, 968, 343, 892, 7735, 602, 779, 2356, 593, 513, 1283, 7944, 540, 519, 5496, 267, 610, 18419, 519, 4757, 1510, 6679, 621, 563, 268, 6733, 585, 5150, 15745, 338, 281, 1403, 513, 15745, 2232, 5956, 609, 968, 10059, 2223, 1287, 621, 568, 2693, 547, 581, 811, 5150, 982, 513, 3135, 602, 6238, 609, 3274, 606, 968, 10674, 1848, 634, 968, 338, 892, 6763, 585, 968, 31261, 2223, 543, 568, 513, 1434, 1129, 547, 1413, 856, 585, 563, 268, 9612, 585, 15745, 2242, 281, 4746, 1832, 606, 3750, 593, 519, 15745, 950, 596, 1101, 4283, 513, 3135, 269, 1403, 519, 15745, 2242, 950, 596, 4283, 519, 8569, 5496, 267, 1287, 596, 1522, 1616, 547, 5595, 2638, 602, 596, 2461, 1210, 513, 6325, 2707, 269, 15536, 2275, 3234, 10904, 3006, 3715, 30081, 4609, 547, 1151, 7228, 2123, 1344, 689, 5561, 563, 268, 19255, 593, 1634, 7270, 281, 8307, 4283, 707, 3556, 543, 2123, 1344, 593, 7270, 602, 616, 3964, 267, 1134, 3146, 1584, 539, 543, 602, 596, 4076, 1031, 1354, 269, 1403, 596, 723, 1022, 22027, 827, 513, 3135, 779, 8699, 267, 1287, 621, 779, 4440, 1732, 711, 547, 1491, 519, 1981, 563, 268, 13185, 547, 707, 3214, 281, 1403, 596, 723, 3214, 945, 616, 2025, 2614, 547, 6300, 2228, 267, 1118, 2386, 547, 723, 513, 6643, 609, 873, 827, 1357, 3106, 269, 2913, 873, 917, 1018, 1344, 568, 6213, 543, 666, 581, 1031, 547, 3479, 3961, 17403, 269, 17546, 873, 2922, 6208, 899, 10992, 741, 4871, 2272, 3948, 4749, 563, 268, 22352, 4550, 8686, 6400, 3301, 281, 6969, 596, 1376, 707, 2228, 10918, 838, 872, 267, 621, 779, 513, 1434, 2856, 547, 9337, 707, 4550, 8686, 6400, 3301, 563, 268, 2422, 6666, 610, 513, 5491, 3556, 281, 1879, 9702, 10918, 267, 621, 779, 1655, 547, 946, 2901, 6666, 610, 513, 5491, 3556, 3079, 540, 513, 32259, 3556, 269, 901, 568, 1317, 621, 779, 1454, 4443, 547, 973, 19281, 9271, 952, 12611, 568, 8149, 593, 707, 5491, 3556, 563, 5319, 2809, 519, 9702, 4005, 543, 5863, 6455, 267, 543, 3251, 2922, 543, 5150, 1247, 3257, 865, 2336, 2171, 723, 930, 15813, 11655, 256, 8729, 585, 4543, 721, 22320, 563, 2690, 606, 4316, 547, 3094, 513, 19044, 547, 519, 8055, 7615, 29879, 543, 30179, 267, 20801, 1524, 267, 10505, 707, 2012, 543, 4757, 267, 543, 2322, 968, 296, 654, 19611, 570, 2975, 17395, 4811, 892, 538, 519, 6085, 4216, 2336, 21788, 11550, 300, 30990, 281, 1284, 786, 711, 28417, 596, 267, 610, 946, 707, 1344, 585, 30572, 4128, 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 ]
[ 538, 513, 1895, 4259, 269, 12467, 2532, 1018, 1352, 11099, 568, 519, 2014, 585, 7180, 454, 1326, 513, 1732, 1620, 540, 519, 2875, 454, 1103, 519, 9000, 540, 538, 17469, 12200, 2866, 267, 1491, 519, 11036, 547, 1265, 856, 811, 827, 519, 476, 1724, 2010, 540, 9124, 896, 9517, 12788, 563, 25594, 609, 1582, 13652, 1456, 593, 519, 1114, 2081, 547, 1732, 5968, 609, 1053, 267, 1759, 593, 741, 1565, 6163, 563, 22818, 6443, 606, 2228, 13186, 585, 7114, 543, 2324, 609, 1053, 609, 1565, 9124, 269, 0, 17556, 2072, 540, 519, 8092, 281, 3397, 7699, 2836, 1304, 324, 17650, 531, 19866, 27264, 454, 12041, 4433, 2567, 4793, 878, 807, 25661, 807, 268, 5522, 582, 7219, 454, 2026, 12403, 1841, 540, 519, 570, 11171, 779, 6561, 267, 519, 3397, 7699, 2836, 1304, 324, 17020, 540, 595, 24660, 8759, 12075, 814, 11280, 519, 17650, 531, 19866, 27264, 20229, 630, 8025, 17269, 264, 3743, 585, 519, 4027, 267, 11091, 267, 543, 2359, 540, 513, 2647, 5044, 540, 19866, 16544, 543, 8836, 8249, 971, 607, 15456, 4609, 267, 8978, 12656, 1675, 3601, 267, 607, 1134, 607, 20073, 525, 540, 2244, 799, 616, 540, 2757, 610, 30060, 2956, 547, 17650, 531, 15376, 269, 769, 1931, 547, 1655, 2149, 519, 570, 11171, 779, 2686, 6561, 519, 8946, 17269, 814, 2919, 513, 19866, 27264, 5004, 4643, 267, 513, 3194, 5071, 267, 543, 513, 19866, 27264, 8889, 547, 1683, 5583, 538, 14621, 547, 19866, 27264, 593, 519, 3397, 7699, 2836, 1304, 324, 4095, 1763, 3569, 543, 12465, 2422, 9351, 269, 901, 19809, 786, 1683, 606, 7650, 540, 519, 3397, 7699, 2836, 1304, 324, 8946, 17269, 267, 922, 18454, 543, 2591, 563, 29241, 713, 16680, 454, 17556, 2072, 540, 519, 8092, 281, 3397, 7699, 2836, 1304, 324, 17650, 531, 19866, 27264, 269, 4793, 878, 807, 25661, 807, 268, 5522, 582, 7219, 269, 3465, 5034, 693, 634, 476, 10037, 560, 16316, 20051, 540, 519, 5980, 585, 1977, 26337, 267, 2107, 1633, 334, 267, 8419, 269, 476, 1001, 277, 630, 512, 291, 2752, 7329, 281, 476, 29889, 26237, 994, 1607, 12754, 568, 3487, 540, 519, 11374, 26888, 454, 2381, 1279, 281, 910, 10219, 269, 275, 5038, 282, 1295, 4234, 281, 476, 3953, 269, 6200, 6902, 3193, 1279, 281, 910, 14625, 269, 20969, 282, 3193, 4234, 281, 476, 5655, 269, 30033, 6902, 0, 268, 4750, 1143, 269, 513, 4759, 540, 513, 11356, 5234, 945, 3157, 3377, 543, 22316, 5299, 267, 2356, 689, 1344, 7658, 874, 19861, 538, 676, 1065, 13024, 563, 268, 513, 1268, 945, 1568, 693, 513, 11380, 563, 27670, 540, 11380, 2006, 454, 16665, 9293, 585, 11380, 2006, 16513, 1348, 518, 267, 5299, 1348, 518, 267, 11356, 30513, 267, 5299, 14516, 267, 11356, 2006, 267, 2847, 16014, 267, 11380, 2006, 454, 14300, 689, 519, 5680, 585, 11380, 2006, 454, 23208, 6201, 540, 11380, 2006, 454, 9515, 14478, 1864, 607, 646, 6410, 2476, 883, 519, 15624, 267, 609, 3532, 16245, 1560, 9789, 11380, 2006, 781, 5323, 641, 3592, 8854, 856, 540, 1010, 17525, 10611, 846, 540, 667, 583, 7815, 781, 15346, 569, 454, 296, 1810, 1405, 3494, 519, 11380, 2006, 8737, 1818, 10467, 950, 649, 4682, 936, 547, 6995, 15030, 541, 1066, 8189, 630, 1321, 540, 476, 2918, 2567, 670, 792, 902, 5292, 269, 2473, 2862, 630, 1993, 476, 1428, 994, 763, 5518, 781, 8189, 593, 519, 2667, 817, 1588, 540, 5518, 17394, 0, 8072, 31819, 1058, 581, 1500, 607, 2241, 607, 2009, 267, 855, 711, 12863, 19028, 18933, 2355, 538, 20161, 6990, 723, 519, 1482, 4214, 607, 538, 519, 1719, 3928, 6990, 543, 616, 4986, 855, 513, 14769, 540, 4464, 11731, 9411, 693, 519, 1482, 3902, 563, 2026, 8912, 267, 519, 1699, 4266, 568, 1373, 20922, 607, 512, 543, 519, 1974, 4988, 676, 519, 23396, 568, 630, 295, 267, 295, 266, 333, 1296, 264, 1141, 670, 568, 513, 2104, 4266, 267, 670, 285, 339, 282, 562, 568, 3335, 606, 8870, 855, 949, 581, 513, 6824, 540, 513, 1032, 912, 4002, 519, 7389, 512, 272, 267, 512, 273, 267, 2507, 267, 512, 336, 284, 295, 266, 333, 1296, 267, 799, 616, 2356, 8449, 22274, 630, 324, 3052, 1421, 10116, 569, 267, 10865, 1070, 519, 23138, 540, 519, 23396, 17188, 513, 6378, 2179, 540, 717, 9489, 1107, 717, 568, 519, 16798, 3902, 540, 519, 23396, 1107, 7222, 547, 513, 1134, 20452, 7274, 589, 540, 519, 20161, 5817, 519, 23396, 4579, 912, 4002, 519, 1482, 4266, 512, 329, 267, 519, 22673, 540, 519, 23396, 17188, 519, 2179, 1627, 306, 6025, 329, 1070, 1141, 1627, 568, 519, 1297, 540, 19726, 540, 10568, 543, 590, 6025, 329, 264, 18575, 519, 5544, 3902, 693, 4266, 512, 329, 540, 513, 1770, 7274, 540, 713, 20161, 607, 10630, 676, 513, 2101, 4994, 630, 324, 3052, 1421, 15107, 1206, 4994, 538, 519, 2013, 540, 19020, 3282, 5148, 8754, 267, 519, 2956, 540, 6325, 543, 5277, 17523, 538, 6694, 21113, 543, 11288, 6990, 5941, 538, 3848, 476, 272, 563, 2005, 568, 2312, 602, 952, 519, 1297, 540, 6666, 2095, 15377, 6971, 547, 835, 3267, 0, 300, 5055, 11239, 948, 585, 1382, 1957, 15986, 11239, 948, 585, 1382, 1957, 13128, 1568, 11855, 543, 15853, 11249, 585, 15986, 707, 1957, 543, 1711, 269, 634, 2413, 1893, 7681, 2200, 585, 15986, 2511, 15986, 25156, 4030, 827, 15986, 2511, 689, 519, 15986, 779, 15769, 3732, 1382, 4574, 269, 1215, 547, 13712, 513, 1382, 1957, 1210, 15986, 3898, 1053, 1205, 782, 12204, 540, 10467, 547, 798, 543, 1142, 2501, 609, 513, 1114, 1305, 540, 4170, 835, 540, 891, 568, 538, 519, 269, 5851, 1603, 948, 16643, 5288, 15986, 281, 1018, 2511, 3391, 798, 1775, 1210, 513, 13387, 4704, 3898, 899, 519, 15986, 610, 16643, 568, 865, 602, 513, 3811, 1382, 1957, 269, 589, 1382, 1957, 3884, 1406, 513, 1382, 1957, 8259, 596, 1439, 609, 2407, 476, 4649, 275, 4555, 593, 968, 15986, 3898, 4574, 281, 585, 2104, 4704, 281, 15986, 11249, 563, 300, 5055, 3732, 1382, 1957, 30659, 15986, 3340, 5595, 17898, 5217, 1482, 2278, 267, 13712, 519, 2262, 519, 2140, 2059, 609, 1317, 1312, 269, 631, 5055, 630, 19640, 1893, 7681, 264, 2511, 568, 1034, 4122, 1031, 547, 2328, 4574, 543, 13712, 2959, 1369, 519, 12666, 6575, 543, 23408, 713, 4199, 267, 8242, 547, 269, 631, 5055, 26159, 1315, 12319, 538, 5339, 1382, 4574, 693, 519, 1439, 540, 707, 1957, 15986, 3898, 11239, 3741, 585, 3594, 543, 1382, 4574, 269, 1215, 547, 3898, 513, 1382, 1957, 1210, 2901, 15986, 610, 16643, 4808, 713, 3349, 6257, 875, 547, 3898, 707, 1382, 1957, 1210, 2901, 519, 15986, 610, 8100, 563, 17457, 1893, 7681, 630, 332, 5055, 264, 3898, 543, 3277, 547, 519, 15986, 25156, 585, 5830, 540, 1382, 4574, 4704, 693, 519, 1439, 540, 519, 22950, 19189, 610, 269, 631, 5055, 3898, 568, 2413, 1893, 7681, 1603, 2511, 4122, 1031, 585, 4574, 543, 6054, 543, 2488, 2596, 4808, 585, 1603, 267, 11239, 543, 26159, 621, 269, 13910, 519, 15986, 3561, 5265, 1118, 2386, 707, 3003, 1382, 1957, 5205, 15986, 2511, 4808, 1247, 930, 2262, 3491, 22422, 3301, 3292, 723, 513, 3710, 2987, 563, 290, 2787, 10274, 11239, 9238, 15986, 11239, 3391, 946, 938, 3573, 2200, 543, 11239, 10274, 547, 948, 596, 2328, 519, 3501, 1957, 15986, 11249, 16643, 269, 631, 5055, 11239, 3898, 3391, 585, 2852, 4081, 1603, 782, 519, 4574, 596, 1205, 693, 3728, 1790, 1653, 24737, 1746, 1260, 616, 5921, 585, 1382, 5301, 1152, 269, 769, 713, 2376, 267, 649, 786, 581, 21365, 875, 547, 3898, 1382, 4574, 607, 1134, 607, 875, 547, 5265, 4704, 4081, 4574, 563, 300, 5055, 2511, 3391, 1107, 2656, 1299, 2653, 15986, 25156, 585, 5830, 543, 1382, 4574, 2140, 540, 4704, 960, 7160, 1032, 3898, 1383, 269, 1403, 707, 14357, 814, 1808, 4170, 585, 519, 3898, 540, 707, 1382, 1957, 267, 2638, 873, 1354, 8600, 707, 3803, 8908, 950, 596, 10505, 707, 1957, 267, 581, 2386, 269, 12726, 2385, 16375, 8100, 538, 15986, 2511, 4734, 476, 272, 16357, 630, 1839, 4699, 264, 14345, 593, 782, 2185, 5011, 540, 519, 476, 279, 476, 272, 270, 273, 16357, 1535, 476, 1556, 16357, 3043, 1957, 3898, 585, 513, 1382, 1957, 563, 25456, 1382, 1957, 2854, 1739, 519, 2511, 4808, 538, 519, 15986, 25156, 585, 5830, 540, 1382, 4574, 267, 476, 278, 628, 7160, 269, 631, 5055, 568, 519, 11249, 2511, 540, 519, 2413, 1893, 7681, 621, 568, 1031, 538, 2127, 971, 607, 7005, 2090, 267, 13354, 3332, 543, 4914, 1893, 269, 0, 7804, 269, 6424, 590, 269, 32400, 267, 513, 1134, 8153, 543, 1360, 3810, 15696, 12023, 1126, 8377, 11285, 689, 519, 5753, 781, 11233, 538, 11785, 267, 5206, 513, 865, 828, 532, 21107, 13886, 834, 21609, 3125, 25667, 1107, 634, 23426, 540, 12085, 547, 22067, 257, 602, 729, 5063, 3370, 538, 519, 20380, 3621, 4760, 634, 1715, 4789, 4750, 540, 6925, 269, 769, 1010, 21107, 267, 3220, 269, 32400, 3785, 602, 8377, 538, 1453, 949, 2110, 523, 3328, 1272, 19104, 676, 1079, 547, 2947, 1296, 676, 4571, 1417, 1722, 630, 349, 13078, 271, 1040, 1284, 11074, 2110, 950, 649, 1224, 602, 910, 765, 342, 563, 7804, 32400, 267, 1175, 547, 7903, 519, 1448, 538, 2013, 972, 941, 1022, 21390, 267, 1572, 713, 513, 1072, 11411, 602, 568, 3160, 267, 646, 5206, 267, 547, 782, 11871, 5916, 256, 1261, 19776, 519, 8377, 15435, 547, 2518, 8337, 267, 10503, 1312, 607, 834, 5979, 4040, 6433, 257, 1107, 606, 5140, 630, 663, 18678, 569, 18447, 264, 21658, 538, 938, 2070, 563, 4407, 649, 1360, 1454, 5660, 519, 3007, 3220, 269, 32400, 6770, 547, 519, 6689, 8377, 15435, 267, 649, 1705, 1589, 835, 851, 540, 1010, 21107, 14406, 519, 1665, 513, 2370, 3787, 269, 3220, 269, 32400, 6257, 519, 8377, 15435, 538, 1453, 607, 9967, 540, 2185, 20718, 834, 874, 1162, 1701, 1261, 3081, 649, 616, 4867, 538, 834, 874, 848, 476, 273, 4799, 1892, 18001, 476, 272, 3459, 1472, 476, 3192, 271, 267, 6353, 676, 519, 454, 2889, 326, 4809, 2333, 538, 10610, 7136, 12039, 1107, 513, 811, 6662, 803, 9476, 675, 547, 454, 15276, 5581, 14968, 543, 896, 7076, 910, 1851, 1453, 269, 630, 2791, 666, 454, 1889, 5501, 707, 19483, 2228, 693, 8940, 8542, 1342, 330, 8542, 8811, 10993, 9706, 3016, 725, 454, 1892, 18001, 476, 273, 568, 6825, 676, 519, 11944, 540, 3978, 2597, 5829, 2042, 538, 1453, 971, 607, 1826, 476, 273, 3987, 543, 9761, 6797, 2068, 630, 10472, 568, 519, 13250, 540, 3170, 538, 6797, 2281, 910, 596, 666, 1451, 811, 676, 3257, 513, 3406, 693, 8940, 6230, 599, 665, 4802, 545, 2593, 1916, 1892, 769, 5123, 476, 274, 267, 2564, 8374, 540, 8377, 538, 1453, 1291, 547, 1272, 18446, 2068, 910, 18337, 2295, 2068, 267, 17537, 267, 4963, 9071, 2670, 267, 8459, 2068, 8506, 31533, 267, 543, 6038, 16349, 2669, 563, 1892, 769, 5123, 476, 275, 267, 519, 6689, 8377, 15435, 786, 17108, 998, 1875, 24932, 2045, 18472, 6127, 269, 769, 824, 1913, 267, 9176, 2021, 945, 616, 17324, 786, 1860, 519, 3384, 21565, 538, 971, 513, 1259, 602, 519, 1126, 781, 8458, 540, 4742, 17324, 616, 2799, 269, 1452, 6127, 616, 1175, 4358, 547, 581, 4362, 267, 855, 952, 713, 1281, 538, 1249, 2049, 267, 519, 17324, 2937, 2551, 786, 2285, 4332, 547, 513, 5108, 609, 1256, 811, 8377, 543, 1644, 8374, 563, 763, 1966, 609, 3220, 269, 32400, 781, 6609, 540, 834, 874, 1162, 2437, 538, 938, 2070, 267, 568, 602, 519, 865, 1572, 834, 874, 1162, 257, 540, 519, 15435, 616, 782, 8345, 1318, 1631, 267, 543, 1142, 5123, 568, 3478, 8338, 256, 1703, 616, 10708, 2221, 945, 616, 17324, 543, 798, 711, 723, 8374, 630, 874, 848, 476, 272, 1070, 543, 972, 616, 17324, 11299, 2221, 945, 9870, 741, 1126, 781, 4960, 540, 4742, 17324, 2663, 538, 1272, 998, 31510, 7614, 5752, 630, 874, 848, 476, 275, 1040, 1306, 649, 1294, 621, 267, 3220, 269, 32400, 781, 834, 874, 1162, 257, 616, 4443, 547, 1589, 827, 607, 3334, 540, 519, 8377, 15435, 269, 3962, 5057, 568, 513, 1966, 267, 543, 1142, 5057, 568, 3478, 8338, 269, 898, 781, 1271, 602, 2550, 267, 3782, 7426, 267, 519, 2229, 267, 7855, 543, 519, 2489, 1857, 4628, 5431, 519, 6708, 540, 519, 8377, 1966, 538, 713, 2197, 910, 3220, 32400, 781, 21107, 3217, 540, 2417, 2059, 602, 2619, 543, 585, 713, 649, 616, 18507, 269, 0, 4002, 519, 9178, 540, 519, 1148, 540, 14084, 910, 2186, 548, 7160, 676, 1665, 1000, 664, 4647, 621, 2899, 543, 1224, 621, 593, 707, 2186, 548, 3926, 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 ]
[ 2621, 543, 3929, 3178, 563, 0, 634, 4055, 729, 18388, 532, 609, 24736, 607, 519, 1762, 16724, 267, 5981, 267, 6179, 3585, 19179, 1243, 1010, 5870, 609, 519, 19023, 20090, 267, 6004, 269, 16399, 269, 1306, 519, 9219, 8743, 539, 6251, 547, 741, 16516, 13393, 267, 5981, 7948, 1405, 948, 855, 2992, 593, 519, 1279, 3460, 646, 1185, 3144, 547, 1205, 1934, 269, 3245, 18803, 20297, 538, 1010, 25880, 547, 1631, 4881, 513, 14762, 10357, 7888, 7738, 7727, 2754, 267, 646, 6785, 602, 713, 4316, 1223, 1689, 519, 3014, 11014, 780, 2026, 519, 7450, 1212, 8898, 1930, 267, 6004, 269, 16399, 9411, 519, 4055, 267, 608, 24851, 606, 2011, 540, 6392, 543, 1995, 269, 2991, 5618, 31047, 267, 789, 798, 557, 2786, 883, 7234, 519, 6491, 1399, 3766, 761, 1399, 3877, 540, 5981, 781, 1870, 780, 16031, 269, 16399, 10709, 539, 1394, 538, 1010, 11381, 543, 4280, 267, 834, 3383, 267, 2995, 803, 827, 707, 1699, 6075, 3490, 3010, 20694, 23217, 3838, 519, 2338, 267, 10223, 741, 4028, 2208, 936, 519, 2063, 1906, 1296, 269, 1809, 6004, 269, 16399, 7012, 1405, 2220, 26359, 676, 11141, 5515, 4805, 282, 3079, 267, 646, 1642, 1386, 4514, 269, 1261, 4941, 547, 1174, 1018, 1500, 891, 5561, 3442, 5981, 781, 6216, 543, 2436, 972, 941, 3255, 547, 4228, 2417, 1369, 519, 4540, 7817, 25279, 780, 4415, 9663, 992, 539, 8202, 267, 6004, 269, 16399, 844, 518, 1221, 267, 834, 1692, 1419, 798, 707, 5561, 1118, 16306, 8119, 1677, 799, 5981, 15527, 18390, 267, 17548, 741, 1164, 1065, 21332, 2557, 1813, 547, 1587, 9547, 543, 7029, 547, 6940, 780, 8253, 2943, 18617, 267, 6004, 269, 16399, 20399, 593, 267, 6998, 827, 519, 22097, 540, 741, 7218, 269, 11576, 532, 1141, 713, 6643, 729, 18188, 267, 5981, 3533, 21407, 1864, 602, 1247, 5097, 15940, 10118, 4867, 4646, 519, 5354, 540, 741, 7082, 3490, 267, 789, 4767, 3395, 1719, 689, 824, 2085, 2516, 1932, 780, 7661, 267, 15392, 606, 6679, 267, 5981, 4547, 909, 519, 1888, 540, 14017, 3292, 267, 5955, 6127, 267, 543, 1514, 2923, 4205, 910, 782, 10832, 540, 2178, 6075, 6278, 269, 901, 533, 31985, 6004, 269, 16399, 781, 7279, 267, 945, 1287, 20402, 952, 1022, 1382, 11478, 1472, 519, 1942, 540, 16565, 1007, 5561, 8957, 20808, 4540, 3283, 780, 289, 3234, 2719, 609, 15131, 267, 5981, 7000, 2090, 6029, 2539, 3790, 2404, 609, 4509, 3347, 3379, 547, 16565, 1007, 3283, 269, 5047, 267, 6126, 5561, 22157, 547, 1831, 5605, 817, 611, 832, 267, 10825, 2318, 2262, 6361, 2173, 1926, 267, 3056, 547, 5214, 2208, 780, 19808, 5962, 267, 6004, 269, 16399, 21330, 24617, 1354, 30286, 835, 3803, 2243, 267, 834, 4517, 1018, 568, 707, 4640, 585, 9750, 1369, 707, 1699, 6990, 12482, 21982, 513, 2620, 7362, 267, 5981, 13890, 4566, 5473, 6098, 6725, 11044, 1759, 593, 3593, 2623, 3270, 267, 4824, 3892, 9055, 267, 543, 7580, 12352, 6322, 693, 2810, 15287, 1851, 2150, 11474, 12415, 780, 22068, 775, 4904, 519, 4055, 607, 6004, 269, 16399, 12842, 5981, 781, 1913, 267, 20604, 519, 4220, 1996, 519, 1761, 12587, 269, 2311, 3259, 267, 646, 20493, 27145, 543, 6905, 1010, 1688, 2509, 5981, 267, 15202, 3972, 267, 2463, 267, 543, 5310, 1256, 5092, 780, 1607, 5872, 18056, 1312, 2367, 540, 519, 2956, 540, 1620, 543, 3024, 532, 519, 1480, 3693, 3297, 1169, 3811, 13055, 1107, 519, 1360, 26470, 6117, 4213, 4464, 281, 741, 5561, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 1909, 1281, 513, 23492, 610, 1507, 1870, 781, 4540, 6075, 3490, 1404, 538, 19788, 1761, 9520, 267, 543, 875, 798, 9520, 6218, 519, 2298, 540, 602, 6075, 3490, 888, 288, 23492, 610, 1507, 1870, 781, 4540, 6075, 3490, 4249, 513, 2629, 1909, 538, 19788, 1761, 9520, 269, 11109, 513, 10121, 543, 13854, 6075, 3490, 6920, 602, 519, 1870, 814, 513, 2344, 585, 922, 2472, 610, 2533, 543, 602, 621, 814, 1044, 2111, 547, 3715, 513, 6216, 602, 24889, 609, 6800, 780, 2691, 10442, 519, 2298, 540, 513, 6075, 3490, 267, 9520, 3335, 1413, 693, 2188, 971, 607, 519, 2450, 540, 519, 6075, 3490, 267, 519, 4908, 540, 6718, 267, 543, 519, 15295, 9043, 540, 519, 5561, 269, 1358, 949, 849, 2015, 519, 1377, 540, 6075, 6278, 267, 971, 607, 6075, 5955, 543, 18515, 547, 3277, 519, 1870, 547, 1866, 780, 20059, 832, 849, 1445, 593, 519, 1761, 585, 2208, 543, 7269, 1369, 519, 4540, 6075, 3490, 269, 1358, 949, 1413, 693, 1239, 971, 607, 11601, 3790, 267, 12802, 3928, 267, 543, 6075, 10715, 1871, 547, 632, 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, 6092, 5149, 281, 10289, 519, 2622, 540, 9710, 2928, 267, 26135, 267, 543, 2233, 19712, 3414, 26499, 776, 16992, 692, 8702, 267, 5664, 3427, 4841, 256, 5620, 596, 2479, 4862, 540, 19537, 1529, 320, 267, 29975, 267, 610, 30659, 689, 9018, 2230, 286, 1452, 616, 1175, 930, 540, 519, 4241, 3197, 602, 2097, 689, 519, 11964, 540, 16897, 267, 14810, 267, 543, 2257, 5708, 256, 769, 713, 1576, 1770, 267, 649, 786, 4685, 883, 891, 13858, 10600, 543, 1451, 827, 1141, 789, 3357, 689, 267, 1946, 789, 616, 2442, 267, 543, 875, 789, 3136, 547, 3337, 938, 4337, 5209, 2221, 269, 1924, 31617, 909, 543, 1205, 4712, 585, 606, 7045, 998, 942, 267, 2230, 267, 543, 3564, 2439, 8893, 476, 272, 281, 4985, 547, 9710, 2928, 267, 26135, 267, 543, 3163, 11470, 454, 32458, 7042, 5970, 596, 2479, 5433, 18901, 1247, 8384, 513, 7260, 610, 2542, 513, 1433, 286, 2334, 4743, 568, 1018, 2306, 513, 1650, 4866, 547, 519, 834, 1817, 2928, 257, 9135, 269, 9710, 2928, 2984, 1419, 4125, 1919, 602, 616, 5921, 547, 581, 17559, 267, 971, 607, 28749, 267, 15293, 338, 267, 610, 16750, 2621, 269, 1280, 1383, 267, 19537, 1529, 320, 267, 513, 4583, 1915, 2813, 676, 9721, 2278, 645, 1090, 853, 20269, 267, 568, 513, 30632, 790, 945, 2501, 9800, 693, 3781, 543, 10425, 1004, 781, 1973, 269, 962, 10105, 2439, 4002, 519, 824, 1688, 267, 834, 325, 656, 6470, 257, 2984, 1491, 721, 547, 16494, 4025, 4904, 609, 9589, 7068, 899, 1714, 1407, 267, 546, 8705, 12028, 267, 22645, 267, 543, 27033, 27163, 269, 808, 10611, 10611, 269, 570, 13083, 1329, 781, 7083, 540, 519, 681, 902, 3126, 568, 513, 1390, 1383, 540, 12473, 14810, 9035, 780, 15563, 267, 834, 14396, 5708, 2437, 849, 1634, 607, 1414, 30235, 267, 3217, 1747, 538, 2104, 5468, 610, 14595, 19178, 5473, 4359, 2029, 610, 3621, 2035, 269, 20176, 625, 899, 10060, 12668, 543, 661, 11053, 269, 616, 1134, 8153, 1414, 30235, 8941, 780, 2162, 7689, 476, 273, 281, 634, 17959, 540, 9710, 2928, 1488, 3832, 18196, 692, 3086, 602, 649, 917, 1018, 16897, 1797, 1577, 781, 2911, 827, 930, 540, 922, 1034, 11599, 5515, 269, 1323, 834, 2117, 515, 6943, 257, 568, 513, 6093, 1915, 610, 6249, 602, 5526, 4749, 2066, 1114, 2984, 543, 4529, 269, 2913, 781, 2263, 1614, 1455, 16897, 18840, 18196, 1384, 265, 2878, 309, 2086, 2231, 5093, 1306, 5018, 4505, 267, 19537, 1529, 320, 568, 513, 4583, 30632, 790, 269, 966, 2086, 2231, 2356, 2408, 1480, 855, 4865, 7060, 899, 7432, 883, 16835, 267, 3834, 2254, 1944, 741, 9601, 267, 543, 2713, 11014, 1107, 8259, 2576, 11479, 513, 7196, 998, 741, 2295, 256, 901, 2856, 2501, 689, 18691, 1472, 8109, 2342, 563, 265, 2878, 313, 4861, 625, 5093, 2098, 4861, 625, 616, 556, 534, 13846, 24767, 525, 6417, 676, 513, 3532, 11769, 610, 3644, 269, 1358, 695, 28984, 1472, 2832, 8393, 267, 5275, 4195, 12058, 547, 3548, 269, 4014, 1990, 4861, 773, 2528, 24865, 689, 20951, 1014, 642, 797, 5622, 2853, 267, 2413, 26007, 941, 6766, 8185, 676, 6723, 589, 269, 7931, 3266, 781, 13957, 540, 519, 12389, 16458, 4670, 3126, 563, 265, 2878, 294, 10676, 338, 5093, 26415, 338, 616, 771, 10603, 617, 1221, 14326, 540, 21549, 2043, 945, 2901, 20807, 1808, 6753, 610, 561, 5424, 1813, 547, 4652, 31944, 1870, 269, 3509, 3504, 12977, 1185, 4978, 4478, 1310, 5158, 543, 6891, 9988, 267, 3056, 547, 3875, 15293, 2984, 2429, 1686, 780, 12244, 281, 3194, 513, 5172, 20599, 610, 13442, 689, 2835, 267, 9413, 267, 610, 7641, 2982, 543, 2697, 799, 7121, 910, 16897, 267, 14810, 267, 610, 1414, 30235, 910, 621, 12851, 547, 269, 14674, 922, 4162, 543, 8129, 952, 2009, 780, 2162, 7689, 476, 274, 281, 28477, 2145, 525, 543, 19088, 3098, 1744, 12686, 12267, 692, 12441, 596, 917, 602, 1082, 16897, 267, 14810, 267, 543, 1414, 30235, 2609, 22132, 689, 2025, 12563, 2145, 525, 543, 7242, 3098, 286, 7756, 2477, 543, 4525, 723, 2189, 2984, 5293, 1524, 936, 5481, 269, 1280, 3236, 267, 8581, 267, 1753, 547, 645, 1090, 853, 20269, 267, 814, 3638, 2959, 540, 838, 809, 344, 6667, 6537, 689, 22469, 13299, 780, 265, 2878, 21579, 327, 664, 13037, 5093, 6969, 8567, 2968, 7839, 267, 3504, 22966, 1206, 9976, 6341, 327, 664, 593, 5437, 476, 272, 560, 267, 16287, 519, 1439, 540, 7556, 4005, 543, 4098, 540, 5162, 269, 4658, 5156, 519, 10465, 1063, 519, 1158, 540, 519, 2713, 543, 4666, 23324, 1282, 713, 1974, 267, 4929, 3765, 27815, 543, 14784, 269, 14675, 5432, 286, 8786, 267, 19343, 7960, 689, 6341, 327, 664, 2336, 265, 2878, 306, 601, 330, 625, 5093, 17286, 330, 625, 616, 13021, 11057, 7919, 5827, 540, 17766, 741, 2960, 547, 1831, 3425, 269, 5381, 547, 544, 1069, 320, 1749, 267, 789, 666, 17134, 656, 3425, 609, 741, 5898, 543, 19259, 269, 1717, 267, 7429, 18557, 781, 589, 21119, 267, 2899, 789, 8774, 741, 32675, 267, 789, 3112, 2132, 547, 4262, 2394, 27366, 780, 12244, 281, 7994, 513, 2197, 610, 3148, 543, 1382, 1022, 2199, 17691, 267, 12563, 2145, 525, 267, 610, 29631, 7068, 269, 10558, 707, 4681, 547, 519, 1362, 267, 7234, 2436, 789, 3514, 883, 519, 16897, 267, 14810, 267, 610, 1414, 30235, 6688, 780, 3528, 3695, 891, 9159, 10600, 267, 649, 4126, 596, 1631, 1174, 811, 827, 519, 1379, 3297, 16897, 267, 14810, 267, 543, 2257, 5708, 6386, 269, 5457, 267, 1169, 1650, 6238, 12341, 282, 3006, 267, 782, 621, 3217, 568, 513, 10286, 540, 5070, 267, 513, 6749, 540, 1216, 267, 610, 1256, 606, 552, 24809, 9661, 3838, 896, 7599, 2775, 547, 8141, 5876, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1492, 2951, 518, 781, 4199, 3391, 547, 15976, 1299, 8874, 320, 16635, 9199, 767, 15187, 1740, 2593, 3135, 851, 540, 6184, 3187, 9012, 26270, 322, 563, 20124, 676, 3794, 3317, 24806, 454, 2691, 594, 5063, 1336, 513, 1007, 7160, 540, 9721, 2278, 645, 1090, 853, 20269, 779, 968, 291, 571, 1529, 320, 2223, 621, 3366, 803, 1394, 883, 835, 540, 519, 6574, 2984, 2479, 5143, 269, 898, 779, 513, 5929, 547, 1889, 827, 513, 19416, 1915, 945, 779, 519, 30883, 24207, 20032, 540, 16897, 269, 769, 1249, 267, 8581, 814, 1044, 513, 2707, 585, 3197, 602, 723, 20651, 1082, 513, 16897, 1650, 7064, 547, 22469, 13299, 269, 6787, 621, 581, 519, 6341, 1695, 664, 16635, 950, 14326, 3802, 519, 3618, 610, 519, 10828, 540, 519, 13276, 330, 773, 2443, 513, 544, 1069, 4660, 6438, 6822, 1075, 518, 630, 553, 12286, 538, 29484, 16888, 779, 968, 302, 526, 710, 14615, 8581, 814, 3177, 922, 2671, 540, 16897, 18840, 18196, 563, 296, 2648, 16897, 267, 14810, 543, 1414, 30235, 267, 865, 19343, 13489, 338, 909, 513, 598, 1495, 5300, 585, 803, 2443, 1058, 594, 3942, 1250, 1378, 2370, 16897, 7260, 2261, 25070, 610, 711, 286, 6884, 594, 1745, 25997, 547, 17908, 519, 4090, 2443, 711, 1373, 1454, 585, 8945, 610, 8156, 610, 28076, 6105, 2443, 543, 1413, 1394, 693, 519, 16897, 8874, 594, 2648, 610, 2119, 856, 1007, 3283, 9087, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]