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
[ 563, 10932, 2390, 10708, 945, 607, 12256, 1185, 1044, 3810, 31536, 633, 267, 21713, 267, 543, 31604, 9060, 602, 741, 13540, 934, 3518, 839, 568, 811, 6213, 982, 602, 538, 824, 1004, 950, 14045, 547, 1118, 606, 2962, 602, 5462, 2436, 789, 4607, 513, 8007, 269, 901, 5267, 513, 3095, 1063, 11387, 3743, 585, 4250, 543, 849, 8007, 538, 14221, 1004, 269, 1306, 3173, 4063, 267, 834, 320, 2631, 540, 1412, 22529, 2225, 3299, 610, 1582, 268, 698, 1890, 267, 538, 513, 2796, 540, 10462, 630, 22238, 8494, 2065, 4093, 264, 11479, 519, 8849, 1062, 5817, 12608, 1438, 8404, 630, 328, 4318, 1421, 13540, 934, 3518, 839, 264, 811, 9244, 538, 29525, 958, 7409, 1243, 982, 1875, 514, 3031, 1243, 10708, 8487, 2690, 811, 1344, 827, 938, 17520, 29960, 4781, 282, 938, 12232, 17520, 26935, 1235, 282, 547, 3883, 1323, 2561, 2002, 618, 609, 835, 540, 938, 4160, 16293, 282, 1455, 17520, 20050, 543, 12580, 282, 1455, 17520, 31105, 12580, 282, 519, 2589, 540, 11784, 4323, 4524, 282, 4160, 18401, 8081, 1858, 282, 1344, 827, 17520, 282, 543, 938, 17520, 476, 6200, 3296, 282, 610, 4945, 593, 519, 3617, 3095, 610, 8642, 2630, 281, 0, 6097, 547, 519, 22078, 8150, 288, 267, 26739, 568, 1455, 1851, 1346, 945, 616, 23232, 689, 4568, 8213, 269, 9453, 1310, 3249, 630, 1492, 3803, 1900, 538, 519, 11222, 1184, 1070, 882, 22663, 949, 15583, 622, 689, 513, 1507, 1305, 3724, 267, 547, 513, 2698, 2132, 883, 4568, 6057, 543, 13829, 269, 634, 1034, 4122, 8153, 1106, 540, 1310, 3249, 568, 15850, 923, 32088, 630, 8150, 1070, 855, 972, 616, 1082, 824, 3681, 602, 616, 13890, 2630, 563, 288, 19976, 1353, 540, 3075, 17466, 2043, 945, 15548, 538, 513, 3670, 18881, 1310, 3249, 1982, 4951, 602, 5171, 941, 1447, 2693, 547, 26739, 883, 3075, 610, 4568, 946, 269, 901, 1353, 267, 3370, 538, 5410, 1112, 633, 20409, 12542, 267, 6920, 602, 519, 1489, 267, 1344, 267, 543, 12003, 2994, 6591, 689, 1310, 3249, 1404, 513, 2462, 851, 538, 519, 1967, 540, 513, 6051, 1982, 563, 317, 30180, 909, 547, 281, 513, 536, 834, 27802, 766, 946, 4524, 2668, 6583, 4364, 2657, 269, 2817, 23941, 540, 2657, 269, 21444, 689, 519, 3312, 593, 476, 4029, 4728, 476, 1001, 275, 269, 8158, 476, 1321, 5181, 476, 1001, 275, 269, 10684, 13829, 1797, 602, 513, 1268, 2115, 513, 3075, 547, 1599, 7363, 269, 2806, 4533, 569, 16069, 519, 3075, 5012, 547, 15639, 2589, 269, 10684, 8213, 568, 519, 31017, 946, 540, 513, 6219, 267, 5103, 922, 2942, 610, 5906, 2360, 454, 763, 1101, 17417, 547, 3643, 14411, 8452, 676, 10935, 269, 3943, 17701, 27878, 339, 1329, 928, 5696, 383, 375, 331, 2946, 543, 15656, 632, 16422, 21622, 4553, 519, 853, 269, 18039, 5211, 883, 8235, 14411, 538, 476, 14065, 271, 543, 476, 14065, 276, 269, 8361, 23747, 30774, 883, 14411, 689, 519, 5087, 543, 10645, 519, 23747, 7345, 1858, 585, 6628, 538, 476, 14065, 272, 269, 3367, 827, 14411, 779, 1101, 4914, 13896, 689, 2066, 519, 9533, 269, 10812, 3943, 14411, 538, 519, 476, 1704, 628, 543, 476, 1240, 628, 5553, 610, 1451, 827, 519, 9194, 540, 16586, 547, 4516, 269, 11905, 281, 4179, 2517, 2998, 334, 3052, 331, 270, 298, 312, 344, 344, 290, 333, 15850, 2060, 9526, 531, 910, 1215, 547, 5489, 2135, 689, 15850, 693, 5851, 910, 15850, 2060, 9526, 531, 12580, 454, 23804, 1007, 543, 2635, 2081, 547, 4308, 609, 2566, 543, 6001, 568, 606, 1271, 851, 540, 3075, 8213, 6051, 543, 649, 2709, 513, 3638, 16351, 1982, 3015, 547, 1142, 17055, 779, 1114, 2168, 5759, 543, 4690, 269, 3776, 18883, 8689, 267, 513, 14468, 2123, 26519, 267, 1418, 2478, 1585, 12119, 9205, 2238, 543, 8516, 3292, 602, 786, 12115, 519, 1560, 607, 1134, 607, 519, 2247, 543, 6891, 269, 1234, 920, 1049, 3797, 2337, 3478, 596, 1394, 883, 707, 2250, 4690, 267, 2238, 543, 12348, 602, 729, 4503, 1282, 3075, 8213, 269, 7454, 10684, 29407, 1923, 17341, 4303, 476, 1001, 277, 454, 11902, 304, 6701, 4568, 11222, 338, 4357, 543, 14804, 286, 3674, 972, 606, 4998, 3259, 540, 11222, 286, 1432, 1281, 2126, 1331, 286, 1432, 616, 519, 2188, 594, 1058, 1413, 585, 538, 513, 11222, 10872, 286, 1692, 1454, 1281, 2126, 1942, 286, 6701, 972, 2126, 15961, 585, 12322, 286, 1692, 798, 596, 917, 952, 596, 2461, 29279, 547, 4568, 286, 1692, 798, 19353, 4363, 8653, 540, 3251, 286, 9989, 6142, 3382, 4568, 2126, 286, 1692, 1281, 4568, 11222, 960, 286, 1692, 2500, 568, 4568, 11222, 888, 296, 786, 1376, 856, 676, 1603, 602, 519, 22728, 28573, 9615, 4741, 814, 10710, 1250, 1272, 1862, 296, 729, 693, 4224, 5377, 269, 7917, 543, 18238, 3357, 543, 13603, 803, 909, 538, 10496, 334, 267, 538, 1360, 3983, 3337, 267, 543, 789, 6414, 1836, 267, 561, 990, 5944, 267, 9900, 267, 16119, 267, 3053, 3373, 267, 519, 7764, 1227, 267, 5828, 803, 1394, 1472, 267, 25374, 585, 803, 6026, 803, 267, 4957, 803, 1862, 296, 5030, 1934, 585, 835, 3923, 267, 543, 1175, 5433, 2922, 543, 5150, 269, 1358, 7444, 4547, 803, 1394, 547, 1434, 1072, 269, 594, 723, 6738, 32375, 267, 15508, 267, 9308, 267, 543, 14156, 267, 543, 666, 2760, 23231, 1018, 814, 1044, 2016, 547, 803, 269, 3245, 717, 1716, 582, 543, 7395, 27932, 630, 14935, 540, 713, 4190, 1753, 1070, 7917, 630, 611, 3439, 15249, 267, 795, 1030, 324, 264, 2407, 540, 1272, 543, 1404, 855, 1360, 5676, 1441, 267, 18238, 630, 817, 9665, 9614, 267, 8748, 2178, 267, 2318, 267, 12391, 1648, 1070, 3203, 1755, 630, 18639, 14357, 267, 945, 5795, 803, 3232, 476, 276, 993, 5049, 267, 609, 9066, 267, 543, 513, 27697, 1070, 5213, 807, 590, 3415, 320, 630, 2777, 15209, 1070, 2701, 10042, 263, 17595, 6139, 1905, 626, 1070, 17630, 543, 25795, 13860, 263, 17595, 5505, 1070, 17630, 630, 13270, 1070, 543, 824, 7606, 267, 538, 18401, 267, 945, 786, 2611, 20822, 267, 945, 723, 2016, 741, 942, 543, 5796, 267, 543, 21378, 606, 1274, 547, 803, 1862, 296, 1745, 713, 568, 519, 1655, 1747, 585, 596, 267, 952, 596, 616, 10010, 609, 606, 8213, 602, 568, 856, 540, 707, 1852, 269, 1358, 1175, 834, 3104, 257, 1934, 267, 875, 621, 7959, 267, 789, 1174, 267, 1510, 27790, 267, 543, 741, 3804, 568, 547, 948, 596, 4383, 707, 8213, 267, 543, 1847, 4464, 883, 513, 1434, 1272, 2407, 540, 3483, 267, 11587, 543, 8788, 1862, 1607, 1753, 568, 4190, 267, 838, 20160, 267, 4055, 585, 1927, 1145, 543, 7834, 267, 32668, 267, 620, 322, 7174, 267, 1273, 3930, 267, 10651, 267, 1250, 4055, 729, 865, 18241, 267, 594, 729, 2111, 547, 1205, 1454, 2877, 1964, 269, 594, 786, 3136, 547, 1832, 22728, 28573, 9615, 4741, 513, 851, 540, 1250, 1272, 267, 609, 1454, 14696, 547, 782, 540, 596, 585, 13059, 803, 547, 519, 2025, 267, 543, 1007, 2353, 2581, 1862, 854, 267, 1360, 9684, 995, 2483, 11900, 4269, 281, 3509, 2010, 540, 6142, 3382, 519, 1942, 540, 8213, 2126, 543, 11222, 282, 538, 1880, 267, 519, 32285, 5516, 2920, 3340, 602, 6142, 4507, 9783, 896, 519, 1533, 1072, 15377, 543, 998, 27083, 3292, 896, 519, 589, 7563, 7269, 1590, 1683, 3795, 585, 8213, 2126, 269, 898, 779, 1271, 547, 4063, 602, 6142, 3795, 1419, 1869, 3340, 602, 519, 1367, 1683, 513, 1071, 15564, 4269, 8569, 267, 543, 930, 2154, 513, 20952, 1043, 581, 6976, 1354, 2126, 786, 581, 1863, 269, 16930, 4566, 949, 723, 1114, 3795, 2157, 267, 865, 621, 779, 513, 1434, 2856, 547, 2638, 519, 1808, 3609, 610, 2911, 547, 519, 6142, 8502, 563, 763, 24251, 4741, 11840, 919, 602, 30229, 11222, 568, 1655, 585, 1346, 945, 6999, 547, 3247, 705, 6748, 6878, 855, 3112, 9101, 19647, 267, 7551, 8506, 513, 8465, 8430, 269, 4934, 18345, 11222, 6703, 786, 2693, 2154, 2550, 547, 2638, 538, 693, 840, 6741, 322, 1881, 2053, 585, 2126, 269, 9615, 538, 30229, 11222, 6703, 666, 1331, 6646, 543, 13508, 269, 4934, 18345, 2126, 568, 513, 2442, 3903, 10838, 1346, 609, 1447, 3978, 1039, 11881, 563, 1103, 519, 711, 865, 11397, 2250, 267, 2126, 585, 29015, 1131, 723, 2838, 513, 1268, 547, 3251, 538, 6413, 585, 606, 7164, 1974, 540, 942, 269, 4653, 267, 513, 1297, 540, 5574, 585, 29015, 2291, 602, 798, 711, 2154, 513, 1268, 547, 3251, 538, 6413, 693, 782, 269, 1703, 616, 6266, 540, 1114, 2010, 540, 3292, 267, 930, 4125, 519, 1268, 22867, 585, 513, 7008, 540, 3108, 513, 1554, 936, 1896, 4374, 267, 1247, 1866, 2154, 909, 547, 476, 736, 3108, 540, 20343, 513, 3018, 936, 606, 22543, 9548, 2179, 540, 942, 269, 1403, 519, 1268, 568, 2808, 1970, 16151, 267, 547, 1312, 2933, 543, 1866, 267, 30229, 1416, 896, 519, 15569, 540, 513, 4387, 568, 2356, 519, 1655, 1576, 540, 2126, 269, 769, 18345, 3292, 2356, 1491, 1747, 538, 513, 1610, 9332, 2077, 6413, 267, 4352, 930, 2489, 10506, 2196, 873, 1932, 269, 1703, 616, 6266, 540, 1114, 2010, 540, 3292, 267, 930, 4125, 519, 1268, 22867, 585, 513, 7008, 540, 3108, 513, 1554, 936, 1896, 4374, 269, 1703, 616, 849, 11285, 4568, 8213, 2126, 7740, 267, 799, 2709, 519, 1482, 2533, 607, 513, 6413, 269, 15706, 945, 616, 2356, 5227, 585, 538, 18345, 2126, 616, 2356, 1346, 945, 616, 7092, 4049, 11198, 1023, 610, 945, 723, 1185, 1896, 8959, 14317, 8942, 538, 519, 2250, 269, 1403, 519, 1268, 23119, 689, 513, 17867, 4524, 610, 2501, 689, 513, 1920, 540, 4568, 923, 267, 538, 18345, 1416, 568, 2356, 513, 8797, 4781, 269, 769, 18345, 1416, 2356, 3322, 513, 1199, 1227, 24892, 19140, 2305, 267, 799, 568, 7307, 609, 519, 946, 540, 6646, 269, 15465, 8965, 3797, 543, 606, 4367, 547, 3544, 1489, 2516, 616, 849, 606, 7533, 851, 540, 519, 29015, 2126, 269, 4658, 945, 4309, 30229, 1416, 786, 3622, 10929, 519, 1482, 2126, 607, 1346, 945, 616, 15861, 585, 538, 18345, 2126, 267, 4352, 519, 19140, 2305, 6646, 786, 4268, 563, 288, 1804, 1560, 540, 3621, 2963, 814, 1044, 10356, 538, 2487, 1296, 547, 1397, 602, 8213, 666, 2196, 538, 3885, 269, 769, 1249, 267, 1453, 540, 4568, 268, 5417, 1112, 539, 3237, 616, 2185, 2053, 811, 2693, 547, 1020, 4568, 8213, 538, 2663, 1272, 982, 1346, 4535, 547, 3237, 1510, 4568, 1039, 11881, 269, 1215, 713, 1568, 568, 1950, 267, 543, 972, 568, 1100, 835, 2048, 531, 4022, 5444, 685, 547, 16620, 585, 713, 282, 3079, 513, 1297, 540, 4719, 7648, 267, 799, 1611, 930, 2043, 616, 811, 840, 16162, 12723, 547, 29015, 982, 1866, 269, 7454, 15544, 5489, 2135, 10684, 8419, 769, 769, 18345, 2725, 14033, 23488, 23488, 338, 454, 2304, 1367, 945, 23119, 689, 1312, 2790, 4576, 543, 29015, 786, 991, 547, 10929, 1114, 2126, 269, 5221, 4568, 15639, 2589, 2014, 513, 1268, 547, 1995, 930, 17867, 2566, 267, 606, 23931, 609, 2790, 1072, 2152, 786, 1265, 621, 1454, 811, 2352, 547, 5706, 7432, 547, 4235, 269, 634, 22078, 8150, 288, 11099, 519, 930, 1582, 25298, 2516, 267, 971, 607, 15850, 923, 32088, 267, 616, 711, 2500, 950, 621, 2501, 547, 8156, 1004, 609, 513, 12242, 26817, 1725, 2670, 540, 1312, 29015, 543, 2790, 4576, 269, 901, 568, 1317, 891, 2516, 4043, 547, 4481, 1445, 593, 519, 4890, 8213, 3294, 267, 2864, 982, 1022, 5817, 5626, 2042, 269, 14640, 31398, 816, 1218, 616, 5355, 782, 519, 942, 543, 621, 568, 5156, 602, 1247, 513, 1582, 25298, 1895, 949, 711, 581, 3730, 585, 513, 12242, 26817, 1725, 2670, 1367, 676, 3294, 267, 952, 519, 1367, 568, 593, 519, 3617, 6646, 543, 8391, 519, 3617, 5626, 3797, 621, 666, 6961, 547, 581, 1175, 607, 2500, 607, 609, 824, 23931, 2043, 563, 6624, 13982, 338, 1745, 519, 991, 547, 9114, 827, 741, 2042, 267, 2436, 621, 581, 547, 2933, 610, 1920, 2818, 269, 589, 1895, 3797, 8400, 5932, 513, 1489, 7271, 538, 799, 2550, 616, 9415, 547, 1930, 909, 827, 741, 2152, 538, 513, 2922, 4259, 269, 4595, 1169, 4759, 540, 519, 1895, 17358, 602, 519, 3461, 568, 2469, 998, 267, 972, 568, 1100, 991, 585, 519, 3461, 547, 12404, 4376, 610, 9114, 563, 301, 5306, 516, 343, 821, 729, 9516, 676, 519, 15111, 538, 476, 1960, 275, 585, 519, 2126, 540, 29015, 282, 2705, 267, 621, 568, 4867, 11311, 585, 519, 2126, 540, 23776, 8213, 269, 22307, 538, 5711, 610, 7630, 762, 3029, 630, 3725, 309, 807, 543, 966, 643, 527, 1503, 1070, 562, 5306, 516, 343, 821, 666, 948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 1007, 11156, 729, 8045, 6028, 519, 3751, 1510, 1022, 10324, 6392, 543, 605, 30533, 532, 1864, 689, 2502, 538, 2797, 12602, 269, 769, 476, 1960, 279, 267, 10795, 17600, 543, 513, 4108, 4573, 4176, 1739, 513, 1543, 1190, 9550, 19430, 513, 5618, 855, 26481, 3162, 3979, 4108, 6304, 269, 25799, 15024, 723, 2094, 17468, 2797, 6617, 282, 12560, 25931, 12836, 941, 4371, 538, 476, 1220, 273, 269, 1717, 15776, 1054, 334, 568, 835, 540, 1614, 6967, 16313, 625, 538, 4000, 563, 291, 329, 29141, 910, 634, 4033, 10158, 1677, 13488, 769, 8350, 1054, 334, 649, 3251, 538, 519, 844, 5593, 7823, 8498, 634, 5178, 1054, 334, 2528, 1869, 15387, 761, 783, 338, 543, 22530, 1431, 602, 1284, 2132, 547, 3162, 21562, 547, 519, 8109, 5291, 2517, 338, 1926, 268, 2378, 878, 320, 6155, 329, 29141, 25901, 2593, 13045, 290, 11857, 7201, 332, 1149, 10644, 27557, 769, 15776, 1054, 334, 631, 3008, 2207, 308, 267, 476, 1626, 5181, 630, 12195, 4785, 301, 11246, 306, 264, 4317, 543, 2686, 8155, 543, 540, 7486, 25266, 729, 9571, 514, 8350, 1054, 334, 538, 476, 2735, 277, 513, 2564, 19995, 689, 5101, 21562, 267, 2324, 538, 5291, 2517, 4178, 269, 597, 514, 18080, 3820, 25266, 516, 1636, 269, 5684, 286, 27751, 2839, 284, 21857, 272, 0, 6011, 1197, 267, 723, 22157, 547, 1445, 2390, 519, 4527, 540, 1482, 20967, 7287, 538, 3119, 1547, 9521, 30338, 267, 19395, 717, 1231, 6199, 267, 6276, 8585, 18115, 267, 543, 3627, 12891, 25053, 782, 29733, 25204, 267, 4367, 547, 19134, 595, 8735, 267, 634, 13159, 31888, 522, 535, 19134, 595, 8735, 267, 1196, 269, 744, 262, 295, 4673, 781, 9066, 593, 519, 20451, 540, 1010, 2937, 19621, 27606, 2488, 606, 563, 23921, 532, 547, 10703, 531, 741, 32270, 13684, 9058, 2804, 24675, 593, 14447, 2367, 543, 8350, 321, 2103, 269, 898, 849, 1500, 28305, 338, 7925, 547, 1585, 620, 531, 333, 540, 14447, 3109, 8666, 543, 4027, 24646, 1115, 563, 763, 2022, 21178, 821, 13665, 1184, 540, 4947, 856, 729, 519, 1152, 2797, 4640, 602, 1223, 12189, 519, 834, 11296, 257, 15746, 540, 8350, 321, 2103, 782, 534, 16036, 14447, 14447, 2367, 563, 3412, 698, 1456, 513, 1514, 1272, 4847, 28305, 338, 547, 19424, 513, 811, 834, 7538, 257, 1272, 1765, 821, 1863, 689, 519, 25302, 5626, 11475, 602, 6353, 519, 4630, 2684, 11131, 27964, 540, 519, 521, 543, 2038, 521, 563, 6637, 476, 274, 267, 834, 295, 558, 26557, 543, 519, 5081, 1670, 22569, 1588, 2437, 2090, 519, 18797, 610, 865, 2442, 25349, 2835, 593, 32270, 3370, 1063, 543, 782, 534, 16036, 14447, 634, 25349, 8561, 540, 1346, 2835, 827, 32270, 729, 5266, 1007, 543, 1129, 1881, 519, 2022, 8705, 6602, 540, 519, 6228, 14447, 1394, 17927, 519, 14447, 543, 24139, 2950, 563, 7712, 972, 616, 1100, 3988, 1222, 7194, 610, 12220, 602, 1450, 721, 547, 15378, 782, 534, 16036, 14447, 3332, 781, 4644, 547, 28305, 338, 538, 519, 521, 610, 521, 267, 594, 723, 6537, 593, 1250, 1378, 1995, 269, 594, 2119, 547, 1174, 519, 2078, 782, 534, 16036, 14447, 5467, 1522, 723, 1185, 547, 602, 795, 517, 682, 324, 521, 8630, 14447, 540, 3332, 543, 18949, 1250, 1378, 5114, 547, 563, 7661, 267, 594, 6218, 519, 5626, 543, 2797, 4644, 540, 834, 1492, 6602, 540, 519, 1514, 257, 676, 16439, 922, 4644, 585, 8885, 607, 513, 1762, 28305, 269, 2290, 3693, 540, 519, 834, 338, 1539, 1670, 9345, 257, 865, 2556, 1256, 547, 17695, 1125, 827, 32270, 568, 519, 782, 534, 16036, 14447, 602, 1804, 8397, 267, 791, 5966, 267, 3140, 3157, 27137, 607, 2804, 4229, 543, 1514, 2497, 1765, 27729, 519, 2796, 538, 799, 649, 957, 543, 2099, 6000, 563, 2414, 930, 4110, 267, 14100, 781, 4583, 6085, 602, 1480, 7919, 834, 24708, 741, 1378, 1686, 267, 855, 711, 538, 6381, 540, 741, 1378, 7446, 257, 28837, 713, 5133, 269, 5637, 519, 2797, 1788, 540, 834, 14708, 1686, 257, 540, 28305, 338, 543, 519, 7214, 1788, 540, 834, 14708, 1702, 257, 540, 32270, 23366, 2049, 538, 6381, 936, 799, 649, 723, 2370, 1852, 269, 2836, 326, 776, 14447, 13063, 24980, 543, 10411, 3191, 540, 782, 534, 16036, 14447, 1582, 563, 6546, 781, 519, 2898, 1650, 563, 763, 24139, 543, 14447, 5322, 723, 6913, 513, 6444, 4527, 538, 1977, 1272, 269, 7991, 3906, 543, 782, 534, 16036, 14447, 8597, 4481, 547, 519, 2115, 540, 519, 28305, 2551, 563, 29128, 5063, 267, 782, 534, 16036, 14447, 729, 513, 24139, 543, 14447, 575, 5984, 538, 519, 14891, 9549, 267, 543, 972, 616, 24139, 543, 14447, 2797, 15731, 538, 1034, 4872, 269, 7046, 569, 14447, 2367, 543, 8350, 321, 2103, 723, 1044, 11221, 547, 2749, 5646, 15078, 267, 1533, 9777, 2137, 267, 543, 519, 2136, 2276, 6837, 563, 4322, 7415, 7835, 723, 7018, 1317, 519, 782, 534, 16036, 14447, 543, 14447, 5322, 723, 14129, 513, 6214, 540, 3961, 5702, 24018, 593, 519, 6214, 540, 6803, 543, 7292, 18441, 269, 901, 3184, 568, 513, 5594, 15428, 4528, 540, 606, 1557, 8385, 3370, 538, 31012, 5623, 7224, 563, 763, 28305, 6214, 540, 3961, 620, 267, 534, 9310, 1719, 31228, 6214, 547, 513, 9097, 5368, 614, 13133, 566, 540, 519, 1514, 8847, 540, 4008, 543, 14920, 563, 763, 3312, 2631, 540, 3961, 729, 1759, 593, 1004, 781, 3838, 4638, 7375, 543, 593, 2147, 13341, 609, 4630, 22785, 563, 763, 4909, 5605, 2526, 775, 540, 28305, 338, 267, 799, 24865, 538, 1373, 6659, 607, 10636, 18400, 338, 267, 2306, 519, 1167, 27641, 1184, 540, 3961, 5250, 3844, 547, 14447, 543, 24139, 6214, 269, 634, 834, 30710, 782, 336, 333, 540, 28305, 3961, 7153, 950, 8350, 321, 2103, 543, 14447, 2367, 1185, 19017, 2614, 2797, 543, 2804, 2200, 547, 25077, 609, 824, 1719, 2516, 563, 1103, 519, 521, 267, 24139, 543, 14447, 5256, 2950, 9411, 513, 1007, 1974, 538, 12238, 547, 519, 28305, 3961, 782, 534, 16036, 14447, 538, 519, 521, 269, 5637, 8350, 321, 2103, 543, 14447, 2367, 723, 2813, 513, 3060, 540, 5238, 602, 10301, 3544, 741, 3838, 4638, 7375, 282, 538, 1840, 267, 989, 344, 723, 7550, 8155, 540, 2932, 602, 3391, 741, 2818, 267, 543, 789, 723, 575, 698, 1507, 4110, 540, 1379, 538, 1977, 2486, 563, 20751, 713, 2796, 267, 824, 3029, 540, 4638, 782, 534, 16036, 14447, 552, 269, 4595, 519, 2038, 521, 267, 519, 15978, 6433, 538, 519, 14447, 5256, 2146, 814, 1008, 12097, 513, 2407, 8397, 15260, 20156, 540, 4638, 2623, 543, 922, 2078, 547, 14447, 3961, 269, 1452, 7835, 723, 4547, 883, 2243, 519, 3661, 538, 513, 6378, 28305, 3961, 609, 8628, 4638, 543, 2797, 4644, 563, 19675, 519, 24139, 543, 14447, 5322, 10205, 519, 6214, 540, 3961, 286, 4208, 616, 4638, 9163, 2797, 286, 1548, 3140, 2175, 896, 12340, 519, 11944, 540, 519, 14447, 543, 24139, 5322, 286, 6969, 649, 666, 2232, 519, 2797, 543, 7580, 2243, 540, 2436, 610, 711, 28305, 338, 1058, 10205, 513, 6214, 540, 3961, 267, 782, 534, 16036, 14447, 1590, 2232, 519, 7811, 543, 3140, 2152, 540, 1946, 543, 875, 4638, 9163, 616, 2184, 545, 1242, 563, 7712, 2622, 2782, 4083, 267, 1585, 2516, 27025, 30829, 609, 519, 1514, 1894, 540, 3023, 543, 4008, 723, 1831, 2797, 5396, 543, 723, 20834, 1242, 269, 898, 568, 711, 2009, 547, 1174, 713, 1686, 1510, 13288, 547, 519, 26254, 540, 27964, 267, 2853, 267, 543, 5238, 602, 2497, 543, 10038, 519, 1514, 1894, 540, 4008, 543, 519, 8677, 540, 4638, 2623, 269, 7324, 519, 1034, 1271, 616, 3029, 540, 28735, 6518, 17979, 1978, 782, 534, 16036, 14447, 540, 1004, 543, 6615, 519, 2924, 540, 1866, 563, 2690, 1383, 267, 2367, 3635, 1379, 936, 2021, 543, 575, 326, 599, 538, 519, 30013, 6046, 1920, 267, 588, 25634, 1242, 4638, 2238, 513, 9383, 534, 4847, 547, 1491, 1747, 538, 4683, 1394, 4525, 267, 543, 2021, 543, 18441, 7118, 1447, 982, 3043, 2367, 538, 513, 5302, 7757, 4074, 2344, 269, 6271, 1305, 540, 3889, 568, 29708, 6042, 281, 589, 3791, 1895, 540, 3889, 568, 12572, 9479, 6518, 616, 20748, 30422, 971, 607, 519, 2856, 540, 11509, 2648, 267, 519, 4168, 17748, 540, 7365, 267, 6211, 12093, 607, 606, 12105, 5539, 267, 543, 519, 3661, 538, 1453, 781, 4638, 26454, 563, 2026, 3029, 540, 1641, 2032, 782, 534, 16036, 14447, 8116, 267, 4638, 9163, 616, 16111, 538, 519, 1184, 540, 8108, 269, 25214, 267, 519, 2184, 545, 1242, 9620, 540, 4638, 9163, 723, 9168, 519, 2175, 896, 799, 519, 9163, 7620, 4646, 563, 305, 1430, 267, 621, 25998, 609, 519, 4346, 267, 519, 1533, 267, 543, 824, 1514, 679, 5145, 956, 267, 971, 607, 1346, 13991, 547, 7292, 5250, 267, 1362, 2497, 267, 610, 1252, 1049, 3604, 269, 901, 7004, 568, 10373, 543, 30137, 1360, 1454, 607, 568, 596, 812, 14447, 11633, 30129, 16036, 14447, 729, 269, 901, 6422, 1184, 14447, 533, 3415, 10437, 3140, 1689, 1765, 5976, 14447, 20739, 8463, 8090, 540, 28230, 543, 5712, 540, 6617, 28934, 1018, 594, 1611, 676, 834, 25757, 546, 10154, 814, 614, 339, 14447, 269, 634, 2022, 8705, 4638, 4838, 23384, 267, 594, 3494, 267, 1614, 20833, 543, 2555, 21154, 782, 534, 16036, 14447, 834, 332, 558, 757, 257, 799, 616, 711, 14553, 26567, 563, 763, 1101, 7018, 950, 21238, 20943, 8124, 782, 534, 16036, 14447, 1010, 9164, 4362, 513, 7934, 1063, 4638, 14447, 561, 1091, 6107, 543, 4638, 2623, 563, 4002, 519, 4493, 540, 713, 6602, 267, 20943, 8124, 1814, 31985, 575, 1695, 8155, 269, 634, 2034, 4090, 7153, 1282, 519, 3810, 30137, 1974, 540, 2022, 8705, 13884, 267, 799, 3223, 2106, 14198, 2804, 4507, 2813, 563, 1607, 1974, 3238, 6825, 5114, 776, 21274, 4724, 4008, 5107, 519, 3801, 547, 1832, 2021, 538, 782, 534, 16036, 14447, 1753, 543, 3665, 5731, 7614, 1143, 519, 4816, 22820, 269, 634, 4616, 31672, 540, 519, 2053, 267, 2705, 267, 22157, 547, 24183, 519, 1065, 4809, 3800, 4724, 2021, 543, 4638, 18441, 563, 1103, 713, 1974, 267, 513, 1297, 782, 534, 16036, 14447, 30921, 1814, 31985, 4638, 1065, 1833, 543, 922, 1379, 547, 17997, 8155, 540, 4008, 543, 14920, 269, 22985, 7911, 27127, 6402, 1568, 540, 891, 30921, 5280, 547, 1020, 519, 4638, 4838, 781, 2797, 9163, 269, 769, 519, 3791, 4090, 267, 519, 14447, 19802, 3350, 7153, 538, 519, 12687, 540, 519, 14447, 911, 8814, 3381, 3350, 563, 2026, 519, 5256, 26730, 3990, 1920, 17379, 543, 607, 2021, 2746, 539, 547, 519, 3023, 1143, 789, 4362, 538, 519, 2875, 3350, 543, 519, 1715, 19382, 267, 789, 20834, 1242, 20833, 269, 27837, 676, 519, 2021, 781, 3350, 267, 543, 2679, 593, 513, 14447, 4683, 23658, 11857, 602, 11478, 2094, 2622, 2782, 4083, 267, 782, 534, 16036, 14447, 1004, 585, 3022, 513, 7104, 4638, 2528, 513, 9383, 534, 782, 534, 16036, 14447, 267, 547, 930, 6708, 267, 5368, 614, 2181, 1540, 519, 13513, 540, 14920, 543, 4008, 563, 6524, 649, 666, 4983, 891, 7835, 538, 519, 2022, 28131, 2782, 4083, 1974, 267, 649, 1590, 10205, 519, 13429, 602, 519, 1514, 14447, 5026, 13063, 540, 14920, 13333, 1152, 998, 1065, 1833, 269, 1452, 14759, 1860, 2804, 10652, 10306, 553, 14447, 521, 337, 343, 334, 2797, 1894, 267, 8456, 267, 543, 4031, 267, 543, 538, 2490, 3310, 519, 12572, 543, 2686, 10096, 540, 4008, 543, 14920, 563, 23208, 543, 10236, 1670, 1382, 814, 3254, 602, 28305, 7606, 1775, 269, 2290, 2165, 782, 534, 16036, 14447, 5595, 546, 17673, 14447, 835, 781, 4638, 2534, 829, 694, 2436, 13680, 610, 2834, 6902, 519, 824, 2262, 11225, 32270, 607, 513, 1514, 1909, 267, 609, 922, 3929, 543, 4638, 3334, 269, 6270, 513, 11984, 568, 29596, 12082, 538, 3140, 543, 3444, 14426, 16198, 1063, 32270, 538, 4359, 4853, 7239, 543, 32270, 538, 824, 4529, 610, 21971, 563, 2690, 3236, 267, 538, 3504, 10255, 267, 28305, 3347, 1063, 4587, 2367, 543, 7820, 2367, 941, 4122, 7608, 607, 15338, 690, 545, 269, 10738, 519, 2796, 540, 606, 2144, 5328, 6935, 267, 519, 4587, 812, 6026, 519, 7820, 835, 4108, 267, 7214, 267, 543, 2797, 1983, 563, 763, 4587, 2367, 267, 2705, 267, 941, 849, 1419, 8152, 27512, 543, 18971, 269, 26681, 4638, 2078, 16934, 519, 824, 269, 4935, 267, 4352, 3504, 5259, 2486, 6444, 5256, 28305, 2534, 607, 513, 4570, 1106, 540, 14920, 267, 519, 2367, 3238, 538, 891, 3347, 10355, 3989, 2933, 607, 5097, 834, 327, 558, 18400, 269, 6271, 12250, 1242, 1106, 540, 32270, 11478, 538, 1082, 1977, 4095, 7239, 269, 21989, 543, 8695, 538, 891, 7239, 1223, 20549, 22612, 883, 741, 782, 534, 16036 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11550, 16165, 4456, 9215, 11553, 19860, 631, 8085, 2316, 303, 4041, 5508, 5990, 717, 4353, 2894, 715, 9331, 21612, 1477, 258, 25526, 32578, 715, 9331, 21612, 6789, 589, 5442, 303, 7473, 1477, 15893, 272, 815, 703, 9272, 2891, 7728, 2207, 4888, 312, 715, 9331, 21612, 815, 8442, 3418, 258, 9215, 5084, 291, 9501, 19781, 1477, 2745, 19629, 333, 14744, 258, 16777, 4696, 5058, 306, 1477, 2745, 2891, 300, 8085, 2316, 12195, 2464, 5508, 5990, 715, 9331, 21612, 4959, 14744, 258, 12327, 4488, 308, 16249, 29486, 8008, 20978, 476, 272, 9215, 476, 276, 1477, 1721, 1775, 538, 2039, 263, 272, 267, 476, 277, 8029, 825, 2789, 272, 815, 1775, 265, 15893, 272, 1477, 825, 1820, 28840, 272, 267, 834, 2608, 14307, 1775, 267, 834, 815, 14307, 2789, 272, 3418, 0, 258, 11550, 16165, 4456, 9215, 5084, 291, 20231, 5990, 631, 8085, 2316, 12195, 2464, 5508, 476, 278, 476, 274, 476, 279, 20978, 476, 271, 9215, 476, 4335, 271, 1477, 8999, 272, 815, 476, 271, 1477, 1721, 1775, 538, 2039, 263, 271, 267, 476, 4335, 272, 8029, 825, 1948, 19766, 2752, 3041, 2177, 476, 9215, 674, 18853, 631, 8085, 2316, 12195, 2464, 5508, 5990, 715, 9331, 21612, 1477, 825, 952, 9217, 4939, 476, 278, 2652, 476, 271, 610, 1775, 4939, 476, 274, 2652, 476, 271, 610, 1775, 4939, 476, 279, 2652, 476, 271, 8029, 1038, 2040, 272, 815, 2040, 272, 266, 328, 1477, 2745, 2891, 306, 9331, 5508, 5990, 631, 8085, 2316, 12195, 2464, 5508, 5990, 476, 278, 476, 274, 476, 279, 20978, 476, 271, 9215, 476, 4335, 271, 4959, 14307, 2040, 272, 3418, 0, 258, 25526, 32578, 715, 9331, 21612, 20978, 5990, 2475, 2207, 6789, 5990, 5442, 303, 7473, 1477, 15893, 815, 703, 9272, 2891, 7728, 2207, 589, 715, 9331, 21612, 815, 8442, 3418, 258, 595, 21283, 2752, 5058, 589, 6717, 16704, 5058, 9215, 5990, 12164, 14888, 3582, 1477, 604, 28840, 13843, 476, 2412, 543, 1297, 10922, 476, 2004, 8029, 825, 1820, 2891, 715, 9331, 21612, 4959, 966, 3201, 2839, 834, 3418, 12828, 6769, 825, 1820, 2891, 715, 9331, 21612, 4959, 5442, 309, 3201, 2839, 14744, 0, 15893, 272, 815, 703, 9272, 2891, 7728, 2207, 4888, 312, 476, 272, 4306, 715, 9331, 21612, 815, 8442, 3418, 2745, 19629, 333, 257, 10142, 2745, 2891, 300, 8085, 2316, 12195, 2464, 5508, 5990, 674, 7644, 4306, 715, 9331, 21612, 4959, 257, 10142, 1721, 1775, 538, 2039, 263, 272, 267, 476, 277, 8029, 825, 2789, 272, 815, 1775, 265, 15893, 272, 1477, 825, 1820, 28840, 272, 267, 834, 2608, 14307, 1775, 267, 834, 815, 14307, 2789, 272, 3418, 0, 5814, 513, 272, 454, 5814, 1770, 11687, 7531, 5035, 4530, 19617, 289, 4926, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 5727, 4530, 1362, 585, 1599, 513, 272, 8542, 636, 10734, 4926, 269, 29185, 825, 1948, 5410, 707, 1449, 2409, 585, 513, 272, 8542, 636, 10734, 4926, 1934, 563, 825, 1219, 1449, 5334, 332, 718, 652, 318, 15517, 532, 6831, 848, 4311, 2187, 1038, 5727, 14706, 568, 519, 10545, 4570, 3403, 12163, 1038, 1582, 27863, 5416, 272, 8542, 636, 10734, 4926, 263, 271, 1070, 476, 271, 2020, 825, 1219, 1449, 5334, 332, 718, 652, 6831, 848, 318, 1721, 318, 821, 10734, 639, 4311, 2187, 1038, 5727, 821, 568, 519, 10545, 4570, 3403, 585, 799, 649, 1058, 1205, 513, 1668, 12163, 1038, 1582, 27863, 5416, 272, 8542, 636, 10734, 4926, 263, 272, 1070, 476, 272, 2020, 825, 1219, 1449, 318, 15957, 318, 12294, 10734, 895, 776, 318, 1721, 318, 2004, 4311, 2187, 1038, 5727, 3228, 344, 8370, 568, 1175, 835, 1447, 982, 476, 2004, 267, 621, 568, 693, 519, 10465, 8173, 1038, 1582, 27863, 5416, 272, 8542, 636, 10734, 4926, 263, 5392, 1070, 476, 272, 2020, 825, 1219, 1449, 318, 628, 11611, 15058, 318, 2004, 4311, 2187, 1038, 5727, 2004, 267, 621, 568, 693, 519, 12939, 12163, 1038, 1582, 27863, 5416, 272, 8542, 636, 10734, 4926, 263, 2004, 1070, 476, 272, 2020, 825, 1219, 1449, 318, 15957, 318, 21639, 10734, 895, 776, 318, 1721, 318, 2004, 4311, 2187, 1038, 5727, 325, 604, 1399, 835, 568, 1175, 835, 811, 982, 476, 2004, 267, 621, 568, 693, 519, 10465, 8173, 1038, 1582, 27863, 5416, 272, 8542, 636, 10734, 4926, 263, 7906, 1070, 476, 273, 2020, 825, 1219, 1449, 318, 16838, 318, 14683, 19056, 4311, 2187, 1038, 5727, 325, 604, 1399, 835, 568, 1175, 835, 811, 982, 476, 2004, 267, 621, 568, 693, 519, 10465, 8173, 1038, 1582, 27863, 5416, 272, 8542, 636, 10734, 4926, 263, 29900, 29900, 29900, 275, 1070, 476, 31229, 31229, 8660, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 263, 1410, 527, 25716, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 258, 322, 5317, 281, 30016, 268, 279, 1477, 1598, 815, 834, 291, 821, 568, 14568, 982, 17828, 1701, 5897, 3698, 29905, 9272, 8029, 825, 1427, 815, 834, 29177, 825, 585, 1535, 538, 3403, 6769, 1038, 1427, 6834, 669, 337, 263, 25546, 268, 867, 3287, 4297, 952, 1535, 18994, 12294, 3890, 3116, 1535, 1477, 825, 2132, 1427, 5897, 1598, 815, 29905, 19304, 3418, 2745, 19304, 3418, 1598, 815, 29905, 19304, 3418, 2745, 19304, 3418, 0, 3698, 1455, 318, 10420, 6600, 1009, 23952, 267, 2034, 23952, 2187, 825, 3977, 815, 834, 4840, 825, 585, 1915, 318, 5913, 538, 2039, 12759, 263, 16149, 23952, 15892, 1038, 585, 1915, 6958, 1009, 538, 2039, 12759, 6600, 1009, 23952, 15892, 2018, 952, 2034, 23952, 314, 30726, 318, 5913, 316, 2652, 1101, 23952, 314, 30726, 6958, 1009, 14158, 3546, 3977, 6834, 1101, 23952, 314, 30726, 6958, 1009, 6540, 825, 1820, 2891, 13349, 16707, 281, 834, 1341, 14307, 834, 269, 21860, 263, 16059, 264, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1455, 318, 10420, 2891, 5264, 2580, 834, 28669, 619, 5602, 0, 5814, 21795, 607, 19073, 692, 1598, 12774, 815, 678, 12163, 11845, 267, 933, 1430, 22698, 640, 454, 1001, 279, 268, 6734, 268, 6860, 267, 15711, 5500, 267, 1910, 17036, 454, 1001, 279, 268, 6734, 268, 4962, 19885, 534, 267, 17745, 20860, 454, 1001, 279, 268, 6734, 268, 6187, 267, 1778, 267, 704, 628, 454, 12163, 4206, 815, 19073, 18667, 32269, 9638, 323, 2593, 6312, 269, 21803, 22473, 19304, 12774, 11723, 2745, 29254, 18994, 333, 1638, 14061, 1415, 15405, 2745, 29254, 9131, 933, 1430, 262, 4940, 529, 333, 1638, 14061, 1415, 31156, 4206, 269, 559, 665, 314, 272, 267, 476, 272, 316, 815, 1412, 743, 3716, 344, 7055, 16386, 711, 630, 4206, 18994, 333, 1638, 14061, 1415, 14061, 1415, 3890, 1070, 834, 5591, 1871, 1058, 581, 7508, 4840, 0, 5814, 21795, 607, 19073, 692, 12163, 10059, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 1708, 2004, 278, 10170, 270, 8145, 777, 268, 11161, 2987, 1790, 663, 553, 12258, 4379, 2914, 603, 8584, 1673, 1112, 692, 20701, 26258, 318, 23748, 815, 678, 18851, 28237, 267, 15893, 267, 32697, 454, 20625, 267, 1911, 267, 272, 454, 701, 778, 267, 4968, 267, 272, 454, 20625, 267, 1220, 267, 273, 454, 6588, 701, 267, 3451, 267, 273, 454, 701, 778, 267, 1015, 267, 272, 454, 20701, 4206, 815, 19073, 18667, 32269, 9638, 323, 2593, 6312, 269, 21803, 22473, 6600, 8816, 318, 23748, 4917, 2745, 29254, 2020, 18743, 7272, 6055, 6831, 1712, 815, 13634, 825, 1412, 20625, 9166, 1412, 288, 22779, 825, 1412, 701, 778, 9166, 1412, 303, 22779, 825, 1412, 6588, 701, 9166, 1412, 294, 7055, 8679, 4206, 18622, 2897, 20719, 262, 28237, 9166, 9598, 7272, 6055, 6831, 1712, 9574, 538, 2897, 18989, 994, 2745, 29254, 994, 0, 5814, 21795, 607, 19073, 454, 5228, 9184, 3634, 1104, 9184, 3634, 692, 12163, 567, 4676, 912, 672, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 18891, 5952, 274, 3199, 9706, 663, 553, 1922, 785, 12258, 4379, 19351, 846, 268, 4067, 8410, 13935, 8584, 10391, 268, 11415, 692, 20701, 258, 1239, 454, 11907, 815, 13634, 825, 1412, 4944, 833, 268, 273, 9166, 1496, 272, 267, 476, 273, 267, 476, 274, 16689, 825, 1412, 30750, 838, 651, 9166, 1496, 275, 267, 476, 276, 267, 476, 277, 16689, 825, 1412, 4944, 27419, 2987, 9166, 1496, 278, 267, 476, 279, 267, 476, 280, 16689, 825, 1412, 7224, 9166, 1496, 1015, 267, 476, 1556, 267, 476, 1321, 2639, 8679, 4206, 815, 19073, 6185, 1092, 20988, 16597, 284, 11907, 994, 2745, 6025, 629, 3634, 29254, 267, 2212, 619, 8782, 12399, 3299, 3349, 325, 31198, 8782, 1186, 27942, 10807, 2020, 258, 6882, 454, 4206, 6958, 2830, 1229, 815, 17093, 8807, 559, 614, 263, 516, 613, 343, 8782, 4944, 833, 5073, 2745, 3488, 325, 2830, 1229, 281, 5073, 2745, 6025, 629, 3634, 29254, 6958, 2830, 1229, 267, 2212, 619, 8782, 12399, 3299, 3349, 325, 31198, 8782, 1186, 27942, 29125 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1100, 811, 3695, 1007, 10600, 2228, 269, 16319, 15265, 267, 1318, 286, 4270, 267, 713, 568, 1018, 666, 4755, 950, 6608, 1711, 6042, 543, 4507, 827, 1114, 2010, 540, 2923, 543, 9913, 269, 1809, 1946, 1131, 789, 798, 602, 286, 1656, 875, 1281, 621, 1860, 721, 286, 2913, 781, 4685, 883, 891, 2055, 676, 2921, 513, 6251, 1413, 693, 513, 1808, 1383, 910, 27127, 2762, 780, 5575, 267, 1577, 781, 1174, 930, 1271, 2474, 1384, 272, 269, 2878, 303, 1941, 2762, 4995, 898, 1522, 3280, 899, 513, 2462, 2262, 267, 855, 621, 1175, 4016, 547, 5961, 267, 7044, 267, 12591, 267, 610, 1022, 824, 1570, 5921, 547, 2014, 4638, 10761, 269, 1284, 917, 621, 781, 1945, 4079, 2911, 827, 267, 865, 1577, 781, 4734, 621, 693, 602, 585, 1631, 563, 273, 269, 2878, 290, 839, 11208, 4995, 5994, 2348, 2576, 3168, 936, 707, 13105, 1247, 2542, 610, 8384, 1945, 269, 1358, 6430, 2436, 1978, 2694, 1058, 581, 6569, 610, 4957, 1317, 789, 1589, 621, 781, 711, 5078, 585, 596, 269, 2334, 781, 24890, 1107, 9013, 1569, 547, 1344, 1759, 593, 922, 1543, 563, 274, 269, 2878, 303, 32123, 4995, 6056, 540, 4507, 607, 3652, 1305, 676, 1004, 538, 5279, 269, 1452, 3652, 948, 4383, 3871, 543, 2327, 1919, 2196, 12347, 543, 9108, 269, 1280, 3236, 267, 3506, 723, 4507, 3823, 11648, 610, 20343, 780, 3086, 267, 1577, 781, 2263, 938, 1292, 1888, 281, 1215, 798, 22124, 6023, 2665, 5473, 27127, 2762, 286, 1703, 616, 1614, 1455, 2081, 281, 7333, 940, 630, 2889, 22128, 1070, 12145, 1569, 630, 28832, 1070, 543, 3850, 609, 4808, 630, 335, 32123, 24355, 1262, 289, 8911, 630, 3682, 22128, 264, 4995, 2368, 2477, 3442, 547, 4625, 7333, 27127, 2762, 1813, 547, 2686, 267, 3909, 267, 610, 5837, 4978, 269, 1717, 267, 30191, 971, 7453, 4031, 666, 1291, 547, 2152, 899, 2799, 3109, 6990, 543, 7834, 12289, 2094, 1004, 949, 2119, 547, 12404, 741, 2238, 780, 1262, 21918, 1746, 7457, 630, 8802, 1637, 264, 4995, 4033, 4025, 1450, 2937, 8874, 896, 1880, 2175, 269, 1280, 1383, 267, 13588, 1590, 6961, 789, 616, 2025, 2614, 267, 2356, 998, 9517, 11974, 269, 6884, 267, 972, 616, 1256, 942, 9993, 267, 2495, 1152, 1978, 3108, 540, 519, 1554, 616, 4847, 585, 13156, 780, 1262, 2704, 27172, 609, 13832, 630, 303, 32123, 264, 4995, 14936, 267, 930, 4525, 11863, 27127, 2762, 855, 2154, 12696, 547, 1246, 1808, 3652, 269, 1452, 1223, 4125, 3106, 3800, 1282, 2083, 2719, 267, 9319, 5739, 11475, 267, 610, 4180, 4023, 8569, 585, 11051, 269, 1635, 3257, 713, 267, 14519, 2832, 547, 3666, 5191, 540, 4082, 543, 4027, 689, 1761, 2800, 780, 4913, 267, 14045, 1141, 547, 2721, 519, 1899, 3884, 1405, 2653, 269, 4658, 723, 1114, 8369, 827, 1018, 781, 11807, 610, 711, 269, 1924, 267, 2870, 4507, 1472, 27127, 2762, 1419, 5012, 547, 12699, 9840, 1851, 2146, 2818, 267, 1876, 16234, 267, 543, 4966, 780, 2026, 2104, 4961, 267, 1620, 891, 10848, 2337, 721, 1831, 15826, 5171, 538, 7391, 827, 1863, 4633, 267, 2123, 2924, 267, 543, 1857, 10304, 269, 5457, 267, 1169, 3375, 814, 4539, 267, 1312, 5497, 543, 26516, 269, 3776, 2816, 568, 547, 3251, 5483, 267, 2015, 2789, 5380, 267, 543, 4497, 538, 1930, 5717, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24993, 281, 4119, 476, 1789, 454, 29394, 779, 8074, 281, 901, 3018, 779, 9752, 18745, 7127, 3217, 513, 2490, 585, 519, 771, 7356, 267, 607, 649, 13686, 519, 960, 540, 30168, 13343, 2274, 6308, 601, 267, 18947, 17976, 337, 538, 4317, 3163, 543, 10615, 540, 5398, 8889, 5525, 693, 519, 2160, 540, 9628, 269, 5213, 1406, 1577, 519, 4465, 330, 880, 1145, 18174, 596, 1498, 281, 2274, 6308, 601, 568, 849, 519, 13653, 540, 29375, 302, 21075, 267, 21470, 8293, 611, 543, 8682, 268, 2750, 2424, 267, 543, 3833, 7654, 519, 1101, 18745, 23784, 547, 723, 2016, 513, 570, 3633, 343, 13185, 630, 517, 968, 3725, 6441, 20235, 1944, 24391, 26158, 3371, 646, 7575, 3564, 5061, 844, 320, 5061, 543, 11828, 519, 3677, 2243, 540, 519, 968, 8802, 1637, 540, 21470, 3034, 289, 4361, 13517, 281, 901, 1576, 4145, 2229, 3609, 609, 2463, 547, 519, 2757, 642, 1182, 540, 6704, 267, 7296, 267, 13989, 267, 28302, 3023, 267, 543, 519, 16351, 946, 540, 5061, 269, 7324, 519, 4507, 602, 786, 581, 2808, 616, 29611, 267, 1232, 17964, 1436, 267, 21259, 267, 24416, 267, 543, 6725, 8060, 269, 634, 7214, 5943, 6964, 585, 519, 6268, 540, 1585, 4507, 568, 5097, 2804, 543, 3656, 267, 1498, 824, 10459, 620, 338, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8802, 1637, 267, 595, 839, 11208, 267, 543, 8889, 257, 607, 851, 540, 834, 24719, 13316, 1315, 623, 1941, 2762, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 594, 729, 2542, 713, 1433, 827, 17052, 538, 2984, 543, 621, 3893, 803, 3206, 827, 938, 11505, 269, 1684, 596, 917, 1018, 513, 11931, 3659, 568, 2496, 7692, 281, 670, 7825, 267, 1577, 803, 1589, 269, 1772, 621, 899, 2576, 945, 16853, 676, 707, 2427, 1100, 2339, 1018, 2496, 8334, 281, 22549, 256, 1656, 798, 596, 3314, 950, 649, 1101, 1558, 286, 1284, 941, 538, 519, 1482, 1362, 267, 1318, 286, 1809, 1631, 649, 616, 1655, 2828, 2439, 7692, 281, 23010, 267, 602, 781, 3020, 256, 1924, 267, 616, 972, 1022, 2984, 1141, 11931, 2828, 3068, 2042, 1317, 540, 1945, 3116, 2496, 8334, 281, 8786, 267, 2965, 256, 6884, 17052, 666, 581, 7318, 676, 824, 1919, 267, 899, 9991, 538, 2648, 609, 519, 1482, 1268, 269, 5620, 596, 2479, 4862, 540, 513, 2648, 6906, 1354, 2496, 7692, 281, 17610, 256, 2334, 1797, 1614, 1004, 1373, 538, 2648, 609, 1142, 824, 267, 1318, 286, 1215, 1281, 602, 1860, 17052, 2496, 8334, 281, 4270, 267, 3006, 621, 666, 1118, 17052, 16602, 269, 5994, 952, 596, 543, 594, 17329, 519, 1482, 1268, 1107, 621, 1522, 1745, 20868, 267, 26001, 2496, 7692, 281, 7937, 9493, 1695, 267, 9090, 256, 1809, 1131, 602, 1611, 649, 7948, 1405, 581, 2828, 15042, 2496, 8334, 281, 3143, 267, 711, 8209, 256, 3807, 899, 538, 930, 2984, 267, 1256, 1498, 789, 1185, 513, 2648, 6906, 267, 741, 2178, 11505, 1869, 7283, 269, 1358, 23125, 856, 2081, 547, 3666, 741, 4606, 585, 1142, 824, 1510, 9292, 1154, 741, 11505, 780, 7692, 281, 26272, 267, 602, 4992, 9157, 256, 1548, 952, 649, 4769, 1405, 1616, 547, 6336, 938, 11505, 10758, 2285, 909, 593, 15962, 602, 1268, 2496, 8334, 281, 3973, 2792, 3587, 2731, 1271, 269, 32695, 16175, 827, 707, 4606, 666, 948, 2057, 10539, 543, 10413, 995, 21390, 780, 7692, 281, 24439, 2631, 256, 1635, 519, 1259, 267, 1705, 596, 5873, 827, 16092, 6998, 8861, 856, 2221, 2496, 8334, 281, 27016, 267, 799, 16092, 616, 649, 6158, 827, 286, 1703, 616, 1079, 11918, 625, 538, 938, 1153, 2439, 7692, 281, 744, 3591, 267, 1250, 3983, 256, 594, 5921, 16092, 689, 13558, 2259, 269, 1261, 4280, 8861, 689, 2257, 8630, 856, 2439, 3086, 267, 4952, 952, 1776, 3659, 849, 1185, 4606, 585, 8861, 269, 1677, 1832, 519, 4708, 1063, 3025, 3238, 267, 789, 9364, 991, 547, 946, 1434, 10385, 267, 5968, 5693, 267, 543, 2015, 1866, 262, 4664, 1247, 9363, 9237, 827, 741, 1378, 4606, 780, 8334, 281, 25999, 256, 28552, 11587, 267, 9639, 267, 543, 6568, 786, 979, 513, 1279, 1259, 2509, 4509, 2635, 3347, 543, 9319, 11991, 12416, 269, 2991, 782, 267, 2348, 1390, 2828, 6730, 7680, 11509, 4606, 3085, 1405, 723, 547, 1291, 547, 4655, 282, 3079, 267, 621, 1223, 1267, 538, 4190, 8823, 543, 22541, 7554, 1851, 16764, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6249, 540, 11505, 568, 11342, 538, 9956, 781, 1568, 267, 689, 1010, 635, 12203, 543, 32741, 547, 1010, 12583, 543, 32333, 267, 543, 568, 1268, 1881, 538, 971, 8424, 607, 17283, 543, 9710, 26559, 540, 17283, 267, 14472, 531, 785, 543, 595, 20782, 538, 1306, 1411, 6145, 898, 267, 543, 16199, 543, 24415, 560, 3530, 538, 519, 8361, 10001, 4249, 269, 13518, 14046, 1719, 538, 519, 6249, 540, 9956, 534, 11505, 814, 1044, 13991, 547, 519, 5559, 520, 626, 781, 2126, 540, 519, 11505, 268, 951, 639, 2000, 913, 1283, 657, 269, 589, 5266, 1455, 10325, 538, 11193, 3332, 267, 713, 4806, 29365, 32344, 2828, 630, 17141, 9038, 264, 1996, 519, 3463, 540, 10636, 18400, 9769, 538, 7365, 269, 1306, 6085, 2209, 723, 4767, 267, 7365, 11148, 547, 3094, 856, 538, 519, 1439, 267, 855, 9956, 3788, 1915, 12264, 5605, 20884, 607, 547, 2436, 2648, 610, 11505, 5963, 29217, 269, 901, 2648, 268, 951, 639, 1922, 12188, 1222, 6249, 6257, 519, 3844, 4729, 540, 835, 540, 9956, 781, 2038, 635, 12203, 267, 634, 5565, 22918, 548, 5443, 540, 7638, 7431, 267, 607, 1134, 607, 1010, 3735, 10319, 15832, 634, 5565, 32201, 918, 1231, 5443, 267, 1312, 540, 799, 4183, 513, 2648, 6906, 269, 3204, 8973, 519, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 9331, 3036, 1315, 4813, 1315, 10749, 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, 3848, 476, 1015, 281, 30059, 11982, 910, 4400, 6874, 3663, 28524, 692, 5331, 1373, 2111, 547, 1332, 811, 1426, 1210, 1447, 1216, 267, 4227, 5533, 267, 543, 9494, 2724, 1247, 4543, 519, 1604, 256, 16319, 7543, 286, 3502, 609, 8856, 6683, 256, 898, 781, 513, 5969, 12967, 1259, 6705, 616, 1210, 2029, 547, 948, 873, 1491, 1732, 1416, 540, 7031, 543, 938, 4541, 269, 1924, 1018, 4010, 568, 8856, 6683, 286, 2913, 781, 4685, 883, 713, 4241, 1158, 2439, 293, 1301, 619, 723, 2141, 4941, 547, 1332, 2635, 2371, 602, 1683, 8949, 543, 14312, 1426, 269, 1677, 798, 713, 267, 789, 1590, 5402, 7747, 4610, 267, 3037, 2010, 267, 543, 4365, 3270, 269, 1717, 267, 2757, 8105, 2409, 3006, 1521, 1169, 1858, 540, 513, 3484, 8449, 267, 1256, 952, 621, 3085, 1405, 991, 519, 1482, 2179, 540, 2200, 899, 1216, 543, 18168, 269, 2334, 781, 1141, 8856, 6683, 2501, 538, 2439, 7093, 17800, 6683, 3096, 1164, 24289, 2645, 971, 607, 9682, 2592, 267, 8596, 267, 19025, 267, 543, 15870, 630, 17471, 19024, 532, 3590, 264, 3457, 547, 5531, 5730, 1344, 827, 11396, 269, 2060, 713, 1344, 267, 6705, 666, 1711, 16419, 4566, 547, 4383, 1114, 2694, 540, 741, 3338, 7561, 543, 30396, 269, 5994, 2348, 707, 1360, 1378, 15705, 2427, 330, 1157, 945, 6487, 3388, 827, 707, 18147, 1107, 799, 9634, 1205, 1932, 1454, 3141, 267, 1141, 1216, 20115, 1310, 4764, 267, 543, 865, 593, 269, 3767, 4952, 602, 2427, 330, 1157, 16611, 2066, 14143, 543, 14143, 540, 3484, 1633, 256, 30474, 3579, 267, 1318, 2496, 3080, 1383, 540, 8856, 6683, 693, 960, 568, 1572, 4756, 2557, 3498, 630, 309, 6938, 1040, 966, 6938, 2337, 6705, 4019, 1175, 519, 1318, 2179, 540, 5452, 267, 13226, 267, 543, 1216, 2877, 676, 1808, 6810, 540, 741, 4610, 3079, 540, 8156, 519, 3003, 2361, 519, 1482, 1259, 269, 6056, 540, 621, 899, 11256, 12897, 282, 596, 1810, 1405, 2322, 519, 3169, 1482, 2179, 540, 10217, 13365, 538, 1142, 23739, 14859, 3440, 267, 1317, 930, 786, 3262, 856, 811, 982, 1866, 1282, 11256, 269, 6684, 267, 1978, 2127, 540, 513, 2361, 949, 2154, 811, 5452, 610, 5567 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4294, 1382, 543, 568, 540, 1880, 2956, 538, 2790, 1072, 269, 25927, 1049, 1382, 568, 827, 3001, 2443, 610, 24758, 2443, 3621, 8906, 811, 6385, 543, 7561, 883, 4052, 2164, 538, 1931, 547, 3132, 811, 6209, 267, 2047, 6225, 2164, 269, 898, 568, 1759, 593, 519, 2856, 602, 676, 7311, 1007, 8906, 538, 519, 1646, 540, 2090, 543, 3425, 543, 849, 7598, 1007, 1655, 2853, 267, 621, 786, 581, 2009, 547, 3132, 1732, 2164, 538, 513, 10156, 1974, 540, 942, 269, 901, 1935, 568, 3226, 3407, 538, 519, 2361, 540, 3782, 267, 1141, 972, 568, 1419, 513, 3586, 3747, 585, 4824, 2164, 267, 855, 849, 1713, 6578, 10148, 543, 513, 1804, 1297, 540, 6042, 602, 267, 693, 2053, 267, 666, 3500, 1524, 1569, 547, 2126, 563, 9558, 331, 1049, 1382, 666, 723, 3730, 3156, 538, 513, 1297, 540, 1114, 2127, 540, 2790, 1072, 267, 1519, 11980, 6604, 267, 2790, 1072, 585, 7820, 1004, 267, 8396, 1154, 16663, 267, 543, 2790, 1072, 538, 519, 2796, 540, 8739, 20300, 2188, 269, 898, 666, 581, 4294, 538, 513, 3099, 540, 5468, 267, 689, 8650, 17867, 1416, 547, 30229, 2126, 267, 543, 1256, 519, 960, 540, 2790, 1072, 4648, 538, 3506, 543, 4213, 269, 769, 1082, 2665, 267, 3173, 267, 7855, 267, 1072, 4648, 267, 543, 1256, 3075, 1646, 3549, 786, 960, 538, 11450, 547, 1020, 543, 2087, 2126, 2409, 585, 2550, 563, 3080, 2460, 540, 6037, 1049, 1382, 4145, 519, 6454, 540, 1382, 5121, 543, 2799, 7616, 538, 1808, 2127, 540, 6161, 269, 634, 1292, 6240, 568, 602, 1247, 1454, 540, 2596, 2257, 568, 711, 2047, 4448, 547, 4052, 3156, 538, 519, 1483, 1158, 267, 676, 7114, 1808, 267, 1699, 2115, 538, 519, 2489, 2551, 543, 1210, 10427, 1382, 5121, 547, 2707, 7616, 543, 4163, 856, 6098, 2090, 267, 3461, 4093, 666, 581, 7494, 4824, 563, 1103, 713, 2796, 267, 519, 1239, 7004, 4838, 2443, 1141, 649, 616, 1631, 2111, 547, 6385, 1569, 267, 1711, 267, 543, 5968, 1239, 998, 513, 2039, 540, 1114, 9055, 2443, 2306, 713, 2186, 540, 1646, 513, 811, 10853, 19175, 982, 538, 519, 2250, 269, 11569, 267, 538, 1082, 2665, 267, 3157, 602, 538, 519, 2250, 1223, 723, 3144, 3275, 610, 1256, 1296, 666, 581, 4389, 547, 513, 2339, 540, 4374, 269, 901, 568, 3226, 1271, 2221, 267, 2016, 519, 10565, 4473, 538, 519, 1297, 540, 1004, 5275, 2790, 1072, 2126, 543, 519, 7766, 2799, 3747, 585, 3435, 269, 3371, 267, 4028, 267, 1942, 15807, 267, 543, 5499, 3435, 723, 519, 1761, 547, 11653, 1483, 1689, 538, 519, 1259, 649, 1521, 2790, 1072, 563, 3080, 5732, 5499, 1858, 540, 2790, 1072, 1382, 2221, 568, 538, 2474, 540, 20165, 5095, 267, 1141, 1569, 547, 1804, 267, 10015, 730, 1239, 2443, 1419, 689, 1082, 2477, 543, 4529, 1472, 519, 1158, 2443, 666, 2709, 1271, 5813, 883, 1480, 2623, 543, 1761, 2500, 18817, 540, 2126, 269, 634, 946, 540, 5691, 5095, 267, 1141, 3631, 616, 2813, 547, 18082, 519, 4397, 1198, 540, 513, 1880, 4756, 593, 513, 5697, 851, 540, 519, 2551, 267, 849, 814, 519, 1761, 547, 948, 721, 2333, 938, 1702, 538, 513, 1942, 15807, 6073, 543, 1683, 9758, 5813, 563, 19111, 2090, 849, 2611, 513, 3407, 28627, 540, 1382, 269, 3371, 267, 952, 972, 568, 513, 2126, 610, 1184, 602, 5654, 3226, 9621, 538, 10072, 267, 606, 2500, 1382, 3060, 666, 1287, 1413, 547, 17908, 713, 998, 2417, 3408, 593, 513, 9962, 4336, 269, 4270, 10784, 1122, 3603, 6037, 1049, 1382, 5121, 849, 723, 16854, 1761, 538, 2474, 540, 1702, 543, 4390, 2679, 267, 607, 789, 2709, 721, 519, 4960, 547, 6385, 1020, 267, 4558, 267, 543, 22412, 622, 1702, 269, 769, 1142, 2013, 267, 519, 4909, 6240, 568, 519, 1482, 281, 513, 2673, 2078, 1063, 782, 519, 1004, 3238, 538, 519, 5832, 540, 1382, 267, 689, 3744, 543, 3075, 9755, 547, 24784, 267, 24004, 28748, 267, 543, 2550, 602, 666, 3132, 4028, 267, 2963, 2861, 2164, 563, 7336, 2610, 998, 2069, 543, 1995, 454, 308, 985, 584, 29418, 267, 2016, 519, 3747, 585, 6791, 538, 6037, 1049, 1382, 267, 1896, 9945, 1631, 1413, 547, 1683, 1808, 2866, 538, 713, 1858, 269, 634, 1977, 4139, 5441, 267, 585, 1383, 267, 3091, 606, 2228, 16362, 622, 538, 4065, 630, 10955, 291, 264, 538, 10076, 2657, 29960, 630, 300, 18449, 264, 585, 1053, 5461, 538, 11264, 513, 4387, 622, 538, 13508, 2228, 269, 3371, 267, 1053, 723, 519, 4316, 547, 2263, 711, 1152, 2618, 31752, 543, 9354, 2994, 855, 849, 6436, 1644, 547, 1480, 14438, 1646, 543, 741, 3156, 547, 2790, 1072, 13508, 543, 5626, 7459, 563, 29012, 267, 4464, 23302, 24784, 945, 3442, 547, 2347, 713, 1576, 267, 543, 945, 1491, 519, 942, 547, 1451, 519, 17950, 540, 2596, 1382, 267, 1305, 2933, 909, 585, 513, 5963, 9621, 4876, 267, 2016, 519, 2479, 12641, 29141, 13218, 1063, 4791, 2090, 543, 4052, 3498, 269, 2986, 1576, 267, 24784, 543, 824, 2790, 1072, 4648, 786, 849, 1451, 513, 2603, 2429, 519, 1576, 540, 741, 2324, 2729, 269, 769, 1840, 547, 741, 1378, 29293, 538, 1382, 543, 4357, 2542, 267, 1082, 24784, 949, 723, 519, 3255, 585, 2417, 2866, 6030, 267, 1247, 9263, 3562, 24406, 518, 543, 29013, 7886, 666, 581, 8449, 3407, 563, 2304, 5051, 9565, 1935, 454, 2467, 666, 581, 1100, 2243, 602, 513, 6037, 1049, 1935, 547, 1382, 568, 1152, 2693, 547, 1831, 5051, 1271, 936, 942, 267, 607, 519, 12352, 1063, 519, 1585, 5933, 540, 3621, 1382, 543, 3498, 1831, 811, 4628, 23091, 269, 4653, 543, 538, 519, 2104, 267, 621, 786, 581, 5051, 1271, 585, 2790, 1072, 4648, 547, 581, 711, 1152, 3222, 540, 2596, 3621, 1382, 538, 741, 6074, 2361, 855, 849, 547, 581, 2111, 547, 1265, 2081, 540, 7311, 621, 538, 741, 1378, 960, 563, 1607, 2186, 540, 6251, 5610, 6799, 1312, 513, 3978, 4161, 543, 513, 5458, 4316, 585, 24784, 543, 824, 4966, 3238, 538, 3246, 1416, 585, 2152, 1644, 547, 2790, 1072, 269, 2311, 2053, 267, 621, 949, 3100, 11566, 547, 1832, 3950, 540, 782, 540, 519, 5767, 7835, 269, 2311, 519, 1482, 942, 267, 519, 1034, 1271, 3364, 568, 547, 1174, 602, 6038, 267, 519, 811, 2500, 519, 1382, 543, 519, 6251, 519, 9316, 538, 2790, 1072, 267, 519, 3152, 4960, 649, 723, 540, 7114, 543, 16734, 2318, 4093, 585, 2550, 269, 0, 11917, 16633, 281, 634, 6662, 540, 519, 1459, 1353, 729, 547, 21656, 519, 2912, 8344, 9043, 540, 513, 2551, 538, 519, 8835, 267, 1210, 1239, 689, 519, 2164, 540, 24384, 5852, 269, 10613, 281, 634, 1353, 568, 6353, 676, 1373, 513, 3444, 7611, 531, 267, 22423, 543, 24794, 8826, 1353, 267, 609, 10855, 543, 10763, 2079, 269, 634, 1382, 729, 5645, 856, 538, 513, 4357, 16758, 540, 519, 3148, 269, 28454, 281, 3245, 519, 2550, 11117, 267, 827, 476, 6872, 260, 1185, 6217, 2530, 269, 3245, 2550, 609, 6217, 2530, 267, 827, 476, 5780, 260, 941, 4775, 543, 476, 4097, 260, 941, 5256, 269, 589, 1906, 811, 982, 476, 2568, 260, 540, 2550, 609, 6217, 2530, 941, 476, 2568, 1296, 2025, 610, 4587, 269, 769, 519, 1895, 540, 2550, 609, 6217, 2530, 267, 827, 476, 4037, 260, 1185, 24845, 2530, 543, 476, 1839, 260, 796, 10561, 269, 6168, 476, 2568, 260, 1185, 7646, 6217, 2530, 267, 476, 1789, 260, 9793, 543, 476, 1015, 260, 1185, 26815, 4049, 267, 4049, 610, 7096, 6217, 2530, 269, 769, 519, 1895, 609, 6217, 2530, 267, 476, 10019, 260, 1185, 10444, 2530, 267, 476, 278, 260, 1185, 25801, 2530, 543, 476, 280, 260, 1185, 6404, 2530, 269, 10390, 281, 645, 10561, 543, 9300, 710, 1116, 6217, 2530, 941, 811, 11342, 950, 3379, 547, 796, 10561, 543, 25801, 6217, 2530, 269, 4014, 811, 6217, 2530, 729, 1336, 538, 11361, 2550, 267, 8579, 4644, 729, 8068, 1152, 676, 12633, 908, 7646, 9271, 609, 519, 2038, 15296, 2085, 1895, 269, 634, 1459, 1353, 5526, 607, 513, 4358, 1448, 585, 519, 1935, 540, 519, 8835, 1014, 2551, 676, 824, 2090, 563, 15675, 707, 1893, 540, 1719, 547, 2070, 519, 2698, 1543, 538, 707, 5461, 1893, 0, 2005, 949, 3100, 267, 7620, 267, 899, 7893, 6217, 2530, 1131, 581, 2653, 269, 1411, 666, 1034, 2693, 5873, 1978, 1919, 5693, 693, 2539, 12531, 855, 711, 1866, 269, 634, 5354, 540, 5022, 949, 3280, 2312, 693, 1164, 610, 1970, 12531, 855, 1866, 267, 899, 968, 338, 892, 543, 968, 321, 892, 949, 1205, 4503, 269, 898, 786, 1831, 811, 10423, 1946, 596, 5469, 29927, 609, 707, 6217, 950, 596, 1451, 875, 547, 1224, 707, 6217, 1449, 269, 5221, 3274, 7432, 909, 519, 4320, 3884, 1406, 2614, 563, 1692, 798, 594, 1224, 519, 2164, 540, 1250, 24384, 6945, 888, 2304, 24384, 6945, 568, 513, 1826, 540, 6217, 1449, 602, 6217, 4648, 8415, 547, 5173, 875, 596, 5873, 269, 898, 4465, 1406, 1413, 607, 2596, 607, 513, 4336, 689, 835, 547, 4557, 269, 630, 25898, 333, 1406, 621, 581, 8748, 952, 621, 1705, 26695, 21156, 267, 621, 779, 9102, 593, 513, 3113, 267, 799, 568, 1946, 1082, 2043, 1265, 621, 4101, 269, 1809, 952, 596, 917, 1018, 596, 2461, 3168, 693, 267, 596, 1932, 666, 4612, 519, 2164, 540, 707, 24384, 6945, 563, 13356, 5317, 519, 4320, 6712, 540, 707, 24384, 6945, 454, 763, 4320, 538, 5463, 756, 1564, 568, 7396, 593, 519, 2451, 2427, 540, 519, 5750, 630, 5228, 476, 271, 28108, 547, 827, 476, 6344, 28108, 1040, 901, 1297, 786, 2697, 875, 10978, 513, 3280, 814, 547, 581, 585, 596, 547, 581, 5827, 540, 6217, 621, 269, 14451, 2338, 1611, 602, 538, 1931, 585, 596, 547, 5873, 621, 267, 596, 786, 991, 21514, 1457, 3280, 563, 2252, 596, 2461, 8572, 547, 5873, 1022, 3280, 2394, 621, 10301, 827, 476, 1789, 28108, 1287, 596, 2461, 7231, 609, 7646, 6217, 2530, 799, 568, 513, 2530, 540, 4320, 1063, 476, 2918, 543, 476, 3393, 28108, 269, 1403, 6217, 6238, 693, 476, 3393, 268, 4792, 28108, 1287, 596, 2461, 7231, 609, 9793, 6217, 2530, 269, 1403, 596, 2253, 6217, 693, 1063, 476, 5780, 543, 476, 5952, 28108, 1287, 621, 6920, 596, 2461, 7231, 609, 4049, 6217, 2530, 269, 1403, 596, 666, 1406, 5873, 3280, 2394, 621, 4991, 909, 547, 476, 3445, 28108, 610, 811, 630, 331, 537, 1457, 982, 519, 4320, 540, 513, 4881, 15989, 332, 1077, 1070, 621, 1797, 602, 596, 2461, 7231, 609, 7096, 6217, 2530, 563, 2750, 600, 1456, 4908, 593, 513, 24384, 6945, 454, 24127, 3884, 1406, 519, 1152, 3364, 596, 5873, 269, 1411, 666, 849, 5873, 513, 2039, 540, 12451, 610, 8486, 2583, 540, 3280, 269, 14627, 4293, 1450, 596, 547, 10646, 1063, 2010, 540, 4992, 267, 543, 713, 2882, 519, 5022, 540, 519, 9904, 563, 4002, 519, 5377, 540, 519, 3113, 267, 596, 3580, 3335, 1265, 12451, 602, 513, 1480, 1274, 666, 3713, 267, 2469, 689, 513, 1970, 4908, 540, 476, 10219, 630, 12294, 982, 513, 13032, 325, 5766, 264, 547, 513, 1164, 4908, 540, 476, 8517, 271, 630, 327, 27941, 982, 513, 25319, 994, 2171, 786, 1449, 875, 1134, 596, 5873, 12451, 538, 1063, 543, 666, 1287, 4729, 873, 593, 519, 3113, 563, 3383, 267, 585, 3236, 267, 952, 596, 2461, 7231, 609, 1164, 23151, 6217, 2530, 267, 538, 1931, 585, 596, 547, 5873, 513, 1164, 23151, 3280, 621, 949, 723, 547, 581, 693, 2547, 476, 2568, 28108, 630, 6518, 568, 1472, 519, 4320, 540, 513, 6659, 267, 855, 711, 586, 2454, 267, 5639, 1040, 634, 4320, 602, 519, 3280, 1590, 3914, 585, 596, 547, 5873, 1808, 12451, 9775, 543, 786, 581, 28367, 593, 519, 3113, 563, 3674, 621, 1713, 547, 2268, 1312, 4908, 543, 4320, 888, 3383, 538, 519, 1483, 1158, 267, 1018, 1522, 519, 6364, 540, 713, 1449, 1611, 585, 596, 286, 3371, 616, 513, 1906, 4992, 602, 1131, 581, 27162, 615, 547, 5873, 952, 596, 723, 519, 1360, 11342, 1106, 540, 1164, 4908, 6217, 2530, 912, 268, 14451, 8486, 3481, 9739, 899, 2021, 543, 1453, 4043, 547, 723, 454, 268, 1733, 7371, 619, 267, 1256, 952, 6217, 4320, 568, 1434, 454, 268, 968, 293, 5608, 968, 295, 5608, 968, 306, 7536, 268, 2142, 10134, 267, 546, 902, 267, 543, 4626, 619, 454, 5278, 1880, 12451, 949, 581, 811, 4101, 585, 18825, 609, 1164, 4908, 6217, 2530, 547, 5873, 267, 1256, 538, 519, 2362, 4908, 2039, 563, 11900, 728, 707, 6418, 1274, 596, 723, 6263, 4552, 6438, 8229, 2281, 602, 21199, 609, 4992, 269, 1411, 6336, 519, 2702, 547, 5873, 538, 8726, 12451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2164, 540, 5153, 2290, 16639, 609, 13380, 3056, 17365, 8637, 12478, 602, 616, 2808, 968, 321, 21392, 585, 596, 892, 3536, 269, 3962, 16045, 10057, 891, 3056, 12478, 585, 476, 1789, 2395, 269, 3143, 8501, 20214, 941, 2938, 1282, 713, 5123, 540, 519, 1353, 563, 2108, 301, 9173, 8309, 547, 476, 276, 540, 519, 476, 278, 1110, 16666, 1981, 2188, 585, 2295, 2068, 267, 855, 3478, 2550, 547, 1689, 2732, 568, 11212, 4101, 2223, 1767, 10906, 28822, 617, 553, 11022, 267, 674, 3722, 290, 563, 22154, 1353, 19156, 1018, 779, 2009, 950, 649, 8011, 269, 634, 6286, 540, 1140, 8724, 971, 513, 1713, 8501, 1764, 689, 513, 1507, 1426, 1759, 6304, 616, 7096, 269, 1284, 1223, 1689, 519, 1072, 540, 938, 2197, 538, 476, 1789, 2395, 2223, 1352, 3773, 563, 763, 5530, 814, 1044, 3370, 538, 519, 2048, 22711, 540, 12594, 2048, 563, 8085, 15045, 3008, 5495, 21254, 590, 2316, 300, 308, 6369, 3582, 4959, 661, 13697, 4488, 20937, 8946, 2207, 4338, 312, 11123, 9338, 313, 4047, 8379, 2207, 24912, 20591, 292, 17955, 281, 29898, 454, 2304, 2333, 538, 3328, 1272, 19104, 538, 1082, 2694, 540, 519, 1158, 814, 1500, 1978, 2085, 5829, 3676, 811, 1455, 269, 12216, 779, 2068, 630, 4696, 1070, 568, 835, 540, 873, 267, 1373, 5393, 11342, 1369, 30333, 7239, 538, 3567, 267, 9705, 267, 543, 1585, 3864, 2477, 269, 17497, 267, 972, 568, 1100, 10826, 610, 606, 2500, 4640, 547, 3500, 1524, 519, 11144, 540, 5084, 563, 293, 6136, 267, 513, 2487, 1353, 267, 3370, 538, 2048, 9558, 331, 1049, 11671, 19592, 523, 3130, 685, 676, 513, 2319, 540, 3744, 814, 3254, 513, 18422, 540, 4126, 563, 763, 3744, 693, 519, 717, 342, 836, 9857, 4659, 540, 3163, 543, 5303, 630, 294, 8780, 264, 538, 9705, 7152, 602, 972, 1522, 581, 513, 1259, 547, 8396, 5084, 676, 1210, 968, 738, 14647, 2861, 18325, 1303, 1778, 618, 2223, 513, 4480, 602, 3238, 5348, 1424, 909, 513, 1268, 779, 630, 528, 606, 3662, 779, 264, 2634, 6329, 1657, 476, 1789, 21636, 630, 21406, 968, 24472, 6329, 14615, 609, 606, 5007, 14251, 566, 540, 513, 2016, 4908, 269, 634, 1184, 4523, 6923, 676, 20392, 513, 1641, 547, 513, 16625, 17003, 267, 971, 607, 3280, 267, 1769, 267, 610, 7344, 21513, 563, 28095, 2090, 593, 8983, 4951, 602, 18325, 1303, 1778, 618, 1223, 4339, 1055, 519, 5250, 540, 536, 268, 600, 2643, 1355, 29693, 13196, 543, 512, 879, 3940, 7213, 2827, 2443, 513, 3044, 10689, 5658, 540, 519, 12614, 540, 5084, 269, 769, 713, 2487, 1957, 267, 519, 717, 8780, 2319, 7152, 602, 621, 568, 2009, 547, 8275, 18325, 1303, 1778, 618, 676, 7311, 16953, 20512, 693, 476, 2412, 21636, 267, 1775, 4318, 1421, 538, 519, 18325, 4908, 6512, 267, 883, 519, 2634, 540, 606, 5084, 21524, 601, 8983, 563, 3080, 540, 519, 1292, 2640, 540, 713, 1935, 729, 538, 519, 1259, 621, 729, 13950, 269, 21133, 7905, 808, 2801, 717, 9774, 13690, 267, 945, 3366, 519, 1353, 7258, 19608, 7905, 570, 2801, 13690, 267, 6045, 281, 968, 15253, 1563, 609, 824, 18325, 1303, 1778, 618, 2409, 602, 7048, 593, 4992, 610, 31300, 1359, 8279, 267, 16953, 666, 3914, 519, 2634, 1875, 2987, 11663, 1947, 1510, 23892, 938, 10444, 1062, 269, 901, 2306, 16953, 2861, 4485, 811, 6899, 585, 519, 2550, 3034, 2026, 741, 6901, 4951, 267, 8983, 6534, 547, 16953, 20512, 585, 1079, 3108, 3232, 585, 1079, 4374, 1185, 4389, 536, 268, 600, 2643, 1355, 15799, 5834, 543, 512, 879, 3940, 2157, 538, 741, 2634, 269, 5015, 267, 6850, 775, 13921, 4919, 9382, 540, 891, 8983, 849, 7000, 6198, 9283, 267, 11021, 602, 2634, 14479, 849, 28322, 689, 713, 2126, 269, 5047, 267, 519, 5650, 1705, 711, 2014, 1022, 1826, 540, 2890, 1076, 5338, 630, 28090, 20178, 1137, 1070, 10834, 602, 621, 729, 711, 2964, 1227, 5739, 547, 2634, 5160, 563, 14454, 267, 519, 9621, 2164, 540, 713, 1353, 1223, 17362, 519, 1259, 547, 5499, 267, 1875, 29554, 9354, 2994, 585, 5084, 1510, 2427, 2360, 267, 607, 1134, 607, 948, 1521, 824, 2175, 16310, 5084, 269, 3220, 269, 570, 2801, 13690, 6376, 539, 281, 968, 4407, 938, 1935, 666, 3648, 2087, 519, 2298, 540, 1272, 540, 2550, 676, 23646, 519, 11144, 540, 5084, 267, 621, 1223, 849, 2709, 513, 1007, 3070, 547, 824, 31895, 17654, 3676, 267, 971, 607, 19576, 779, 2068, 3034, 20062, 2969, 4959, 5990, 681, 20846, 29376, 292, 11123, 21398, 302, 4306, 2207, 667, 5308, 292, 5508, 5046, 966, 3722, 290, 12114, 888, 28926, 2287, 519, 3791, 610, 26259, 9570, 585, 519, 3782, 543, 4395, 1467, 4600, 607, 1134, 607, 9972, 4961, 609, 32435, 885, 786, 948, 519, 2197, 2149, 922, 1164, 16151, 2551, 267, 2016, 519, 8375, 4145, 540, 513, 3791, 5951, 1813, 547, 513, 14583, 540, 6161, 267, 744, 32342, 563, 19328, 814, 6913, 519, 19506, 540, 28720, 936, 476, 9610, 5186, 637, 5046, 268, 866, 12674, 547, 922, 2551, 267, 799, 814, 1044, 11451, 28601, 607, 513, 5039, 531, 9740, 269, 3127, 779, 12674, 10872, 1185, 3323, 593, 476, 1626, 5130, 476, 1708, 272, 267, 543, 782, 7925, 2516, 540, 519, 2551, 4607, 1312, 13066, 538, 519, 1101, 3368, 540, 476, 1708, 272, 269, 1306, 513, 1267, 540, 713, 267, 513, 1713, 5354, 540, 519, 2551, 723, 2919, 12489, 267, 5916, 609, 1346, 945, 723, 16626, 689, 6923, 9715, 3968, 563, 4913, 267, 972, 568, 10462, 3823, 519, 8653, 540, 4027, 1373, 6035, 607, 513, 1267, 540, 519, 21483, 530, 22135, 2476, 540, 12489, 269, 4746, 267, 972, 723, 1044, 8320, 540, 2043, 1373, 8995, 609, 5046, 5103, 2348, 1185, 1079, 13066, 540, 5046, 268, 866, 12674, 269, 898, 568, 9621, 547, 4063, 602, 519, 4095, 2229, 814, 2808, 519, 16252, 540, 519, 3621, 12233, 540, 589, 295, 18444, 547, 6338, 26259, 9570, 267, 547, 693, 2547, 519, 7925, 1895, 267, 547, 2253, 609, 269, 634, 16252, 729, 1500, 676, 519, 589, 295, 18444, 3621, 12233, 267, 799, 18801, 730, 593, 519, 1641, 538, 5437, 476, 1708, 272, 269, 634, 2229, 568, 6236, 7175, 519, 26259, 9570, 547, 581, 2016, 547, 14718, 1004, 32380, 269, 2549, 921, 6006, 540, 5046, 268, 866, 6669, 568, 2139, 609, 519, 4357, 5823, 849, 267, 543, 891, 949, 581, 3927, 3351, 2213, 585, 713, 3483, 563, 28269, 10579, 715, 732, 526, 571, 3525, 328, 5063, 9307, 519, 10131, 540, 519, 12674, 5859, 585, 1453, 538, 519, 2085, 1895, 540, 476, 1428, 268, 1240, 1296, 945, 1106, 513, 2101, 851, 540, 519, 796, 341, 3147, 3990, 267, 11630, 2551, 538, 3127, 269, 5047, 267, 6679, 519, 3791, 610, 4425, 8803, 9570, 585, 519, 3782, 543, 4395, 1467, 4600, 607, 1134, 607, 519, 9972, 4961, 609, 32435, 885, 786, 948, 519, 2197, 547, 2149, 922, 1164, 16151, 2551, 267, 2016, 519, 8375, 4145, 540, 513, 3791, 5951, 1813, 547, 513, 14583, 540, 6161, 268, 744, 32342, 563, 763, 3791, 610, 26259, 9570, 786, 948, 3127, 547, 4339, 1996, 519, 5046, 268, 866, 6855, 543, 786, 5351, 538, 10992, 519, 10335, 540, 744, 32342, 269, 10251, 267, 519, 2034, 5951, 1185, 8507, 538, 13778, 2669, 543, 9552, 538, 922, 12687, 782, 936, 519, 2197, 269, 898, 568, 942, 547, 1491, 14849, 2962, 547, 5512, 519, 4182, 547, 581, 538, 513, 1732, 2990, 547, 3068, 610, 2057, 2104, 6329, 269, 18766, 689, 1514, 26865, 543, 9633, 532, 267, 8471, 12674, 568, 513, 14323, 2626, 547, 2061, 2104, 6329, 269, 2755, 519, 5354, 540, 519, 1004, 538, 1558, 549, 2127, 723, 5266, 2653, 1569, 547, 6375, 5314, 267, 513, 811, 5059, 4674, 585, 6917, 2127, 540, 519, 2197, 568, 849, 2712, 326, 1836, 2877, 563, 288, 295, 18444, 814, 1044, 693, 519, 21282, 267, 5885, 519, 2229, 693, 1169, 3942, 1282, 519, 6855, 269, 634, 4357, 5823, 2488, 936, 476, 3583, 260, 540, 3782, 267, 543, 538, 1312, 519, 1101, 543, 2034, 6329, 267, 4357, 3782, 814, 1044, 513, 2178, 1139, 7163, 267, 8156, 519, 5354, 540, 2550, 2066, 519, 2197, 269, 634, 4357, 5823, 814, 849, 1044, 24574, 1359, 609, 519, 6554, 547, 2327, 602, 607, 1082, 2009, 4079, 616, 18764, 1354, 1022, 2104, 6329, 563, 763, 3621, 12233, 540, 589, 295, 18444, 814, 849, 6700, 602, 519, 7934, 1063, 519, 2034, 9570, 543, 713, 3791, 9570, 1058, 581, 1063, 476, 277, 547, 476, 1321, 3275, 563, 4415, 519, 11944, 540, 1007, 14726, 267, 519, 991, 585, 513, 3791, 9570, 602, 949, 7500, 607, 513, 26259, 547, 519, 1560, 779, 4761, 1062, 729, 5433, 782, 2066, 519, 1158, 267, 543, 3875, 2477, 3459, 12419, 713, 3791, 9570, 267, 849, 1634, 607, 513, 26259, 9570, 563, 7661, 267, 2090, 723, 3254, 602, 12046, 568, 7863, 1004, 1996, 519, 2360, 540, 5046, 268, 866, 269, 9747, 267, 519, 10862, 1058, 581, 8471, 12674, 269, 634, 3644, 29263, 1813, 547, 513, 3668, 540, 7850, 6669, 3795, 269, 1879, 513, 3644, 3468, 338, 543, 10063, 806, 538, 9937, 540, 5215, 540, 1004, 267, 621, 814, 519, 1761, 547, 4573, 622, 267, 3056, 547, 519, 11944, 540, 1007, 14726, 269, 1677, 2061, 811, 966, 31237, 689, 17729, 267, 3127, 2115, 547, 1205, 6619, 540, 519, 3644, 269, 1403, 3127, 31267, 17629, 17261, 1588, 267, 621, 666, 4126, 547, 24390, 519, 1764, 540, 519, 6855, 269, 634, 26259, 9570, 568, 835, 1900, 4464, 2509, 17420, 7925, 543, 824, 2516, 563, 763, 5856, 568, 5518, 267, 5948, 540, 16195, 3038, 11107, 268, 19328, 630, 288, 295, 18444, 1916, 24719, 14877, 4959, 5357, 28714, 744, 17162, 2207, 5084, 8085, 4811, 10790, 312, 22743, 12717, 674, 11246, 2207, 23140, 24518, 281, 29898, 454, 12867, 723, 1336, 602, 4587, 1004, 945, 616, 13998, 9678, 4043, 547, 6336, 741, 4522, 811, 3533, 982, 1346, 609, 811, 1514, 5872, 563, 763, 1353, 3238, 11287, 4587, 4457, 4079, 543, 729, 3366, 676, 3173, 693, 12924, 308, 681, 800, 2725, 14636, 5441, 540, 16711, 269, 634, 4681, 941, 3370, 538, 2048, 26322, 19239, 3588, 543, 17327, 25731, 5735, 563, 2108, 5978, 1353, 5267, 602, 4509, 543, 5355, 1514, 4296, 949, 4324, 519, 5711, 1072, 540, 4587, 4079, 2223, 1767, 2473, 21628, 1627, 328, 267, 513, 12854, 2875, 693, 12924, 308, 2725, 14636, 543, 519, 1353, 779, 1101, 2278, 269, 968, 763, 4681, 5447, 609, 3105, 2090, 11744, 602, 7293, 10832, 540, 1514, 771, 28947, 666, 723, 3532, 2360, 593, 10832, 540, 1072, 543, 1134, 5630, 2223, 646, 1767, 563, 12892, 10072, 543, 20420, 538, 4587, 4079, 723, 1044, 2101, 1857, 1072, 4145, 1472, 519, 1158, 543, 616, 1981, 2188, 585, 2295, 2068, 267, 2790, 1072, 4713, 267, 5042, 7771, 267, 543, 16349, 2669, 269, 769, 930, 2477, 267, 1519, 519, 2136, 2276, 543, 3624, 267, 909, 547, 835, 538, 1614, 4587, 4079, 941, 24949, 267, 2687, 547, 519, 2622, 2657, 9257, 269, 634, 5046, 268, 866, 6855, 1185, 28978, 891, 2152, 1851, 4587, 4079, 267, 607, 1082, 538, 16512, 4205, 1185, 1044, 29169, 547, 2149, 4587, 4079, 689, 3968, 563, 12892, 10072, 543, 20420, 616, 1644, 855, 1114, 269, 4317, 10072, 814, 1044, 3989, 607, 2348, 1906, 1514, 3347, 610, 1102, 7528, 550, 1514, 3346, 609, 1866, 267, 1247, 20420, 5219, 547, 519, 4743, 2813, 676, 513, 3668, 540, 1514, 4276, 563, 2108, 4407, 1514, 10072, 543, 20420, 1419, 979, 1688, 538, 1688, 267, 621, 779, 2009, 547, 2661, 4805, 543, 581, 13998, 9678, 855, 547, 711, 1745, 24949, 267, 610, 547, 581, 11303, 676, 1004, 855, 1869, 1745, 24949, 2223, 1767, 2142, 328, 18961, 267, 25760, 779, 7905, 538, 6820, 2657, 693, 12924, 308, 2725, 14636, 543, 519, 1353, 779, 9972, 2278, 563, 302, 19520, 4079, 616, 849, 693, 1981, 585, 1776, 1072, 6161, 281, 9561, 4522, 269, 769, 3624, 267, 4587, 4079, 9907, 476, 4792, 547, 476, 10619, 1185, 7864, 982, 476, 2537, 4522, 593, 3328, 630, 611, 6699, 3335, 723, 476, 3953, 4522, 267, 610, 476, 2764, 952, 7326, 4522, 723, 1044, 6569, 264, 543, 476, 275, 269, 276, 829, 1298, 540, 713, 2085, 1895, 1185, 4503, 782, 540, 741, 4522, 563, 294, 636, 2068, 267, 7296, 267, 3668, 540, 1569, 547, 5959, 1416, 267, 543, 5312, 10108, 899, 3987, 543, 2295, 2068, 2333, 519, 4220, 540, 5694, 2530, 269, 31932, 4522, 1223, 723, 513, 1713, 1764, 593, 835, 779, 2298, 540, 1272, 267, 7133, 6484, 267, 4633, 267, 543, 1582, 12635, 563, 2414, 1174, 519, 2078, 1063, 1514, 10072, 267, 20420, 267, 543, 5694, 2530, 538, 4587, 4079, 538, 3624, 267, 519, 3173, 1031, 519, 4457, 7043 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22660, 540, 2663, 4630, 514, 1231, 267, 971, 607, 3851, 641, 30965, 322, 639, 543, 30941, 269, 17968, 267, 621, 949, 723, 1044, 513, 2427, 7936, 540, 519, 1480, 12105, 3529, 563, 7659, 2934, 540, 15223, 3559, 20395, 639, 512, 577, 611, 18424, 912, 268, 11020, 2450, 281, 634, 2634, 13826, 540, 29110, 2742, 25771, 568, 827, 476, 11740, 12945, 17744, 267, 799, 568, 827, 519, 2450, 540, 513, 32315, 345, 2465, 779, 2634, 563, 268, 11120, 658, 2934, 281, 29110, 2742, 25771, 814, 513, 1480, 6438, 3068, 609, 1507, 22578, 4522, 563, 268, 5403, 322, 31424, 22403, 281, 634, 2022, 322, 31424, 22403, 540, 29110, 2742, 25771, 568, 711, 1134, 25535, 5703, 267, 855, 621, 5267, 602, 29110, 2742, 25771, 729, 536, 21317, 531, 563, 268, 26335, 281, 29110, 2742, 25771, 5030, 538, 513, 28816, 5260, 13860, 1604, 563, 273, 269, 3851, 641, 30965, 322, 639, 7192, 732, 985, 529, 454, 288, 14094, 641, 30965, 322, 639, 7192, 732, 985, 529, 568, 606, 2038, 4630, 514, 514, 2249, 602, 5030, 1063, 5111, 476, 274, 269, 280, 543, 476, 273, 269, 280, 2929, 1296, 3516, 269, 1358, 616, 519, 14191, 1634, 14077, 540, 2413, 3425, 267, 543, 649, 1034, 2693, 7960, 689, 513, 2249, 602, 729, 851, 540, 713, 13261, 5982, 563, 763, 1034, 4583, 8093, 11911, 547, 3851, 641, 30965, 322, 639, 7192, 732, 985, 529, 568, 968, 299, 1075, 344, 2223, 4362, 538, 476, 3192, 275, 538, 18629, 269, 21667, 779, 22403, 3177, 3407, 4030, 883, 519, 14169, 543, 21525, 10056, 540, 713, 2249, 563, 288, 14094, 641, 30965, 322, 639, 2249, 616, 1634, 585, 741, 536, 21317, 16117, 267, 610, 519, 2702, 547, 3802, 20005, 593, 1079, 7953, 269, 1358, 849, 1185, 4130, 12058, 982, 2413, 3425, 267, 609, 2634, 7306, 8151, 689, 827, 476, 12573, 547, 476, 20862, 12945, 17744, 563, 300, 20047, 540, 713, 2249, 941, 3622, 10156, 538, 588, 1155, 267, 609, 9038, 19011, 1645, 827, 476, 276, 3952, 630, 272, 269, 276, 7397, 264, 538, 4463, 543, 8951, 5594, 10156, 563, 4407, 3851, 641, 30965, 322, 639, 7192, 732, 985, 529, 568, 711, 1634, 585, 10427, 1907, 946, 267, 930, 2963, 5267, 789, 949, 723, 1031, 2241, 6149, 2645, 585, 4247, 899, 4393, 1426, 610, 8840, 1930, 7633, 563, 274, 269, 30941, 3110, 18442, 454, 295, 27622, 3110, 18442, 267, 849, 1634, 607, 968, 8518, 344, 812, 2223, 568, 606, 17255, 2249, 540, 4630, 514, 514, 602, 5030, 538, 4000, 689, 10199, 476, 273, 269, 275, 547, 476, 272, 269, 276, 2929, 1296, 3516, 269, 898, 568, 519, 9998, 1634, 2249, 540, 519, 12593, 30941, 267, 543, 621, 568, 2219, 547, 581, 519, 1463, 22660, 540, 30941, 16245, 639, 563, 12234, 267, 1101, 4362, 538, 519, 6196, 12320, 2967, 717, 5282, 267, 25157, 267, 676, 12779, 15351, 6605, 6048, 8402, 2274, 820, 344, 543, 1010, 2319, 538, 519, 476, 3422, 271, 338, 269, 4706, 2012, 729, 2016, 547, 2992, 519, 2249, 685, 7681, 609, 519, 946, 540, 2645, 563, 295, 27622, 3110, 18442, 729, 513, 1507, 1532, 617, 1221, 4630, 514, 514, 267, 609, 606, 3328, 2634, 2450, 540, 827, 476, 7785, 12945, 17744, 269, 1717, 267, 789, 1185, 513, 5266, 1507, 588, 1155, 267, 609, 606, 3328, 4463, 540, 1472, 476, 274, 269, 276, 547, 476, 275, 269, 276, 3952, 630, 272, 269, 272, 547, 476, 272, 269, 275, 7397, 1916, 295, 27622, 3110, 18442, 568, 6444, 607, 519, 1101, 2249, 547, 946, 6149, 2645, 269, 634, 2645, 789, 2813, 941, 5266, 2241, 267, 9967, 5631, 540, 8325, 24737, 3022, 1166, 1389, 1500, 676, 11495, 7725, 1927, 267, 799, 789, 1031, 585, 4247, 971, 607, 855, 7815, 532, 2831, 543, 4393, 2371, 563, 275, 269, 30941, 16245, 639, 454, 295, 27622, 16245, 639, 267, 849, 1634, 607, 968, 340, 1440, 697, 812, 2223, 568, 606, 17255, 2249, 540, 4630, 514, 514, 602, 5030, 538, 4000, 267, 5607, 267, 543, 2342, 689, 10199, 476, 273, 2929, 547, 476, 14056, 267, 1822, 1296, 3516, 269, 1358, 616, 519, 9998, 1634, 4630, 514, 1231, 547, 723, 28953, 856, 540, 4000, 267, 543, 789, 941, 519, 1101, 4630, 514, 1231, 547, 946, 3595, 563, 295, 27622, 16245, 639, 1185, 513, 811, 2413, 1560, 2497, 3379, 547, 922, 21530, 25600, 269, 1358, 1185, 513, 1804, 1532, 617, 1221, 4630, 514, 514, 267, 609, 606, 3328, 2634, 2450, 540, 827, 476, 25616, 12945, 17744, 563, 295, 27622, 16245, 639, 568, 5156, 547, 723, 12090, 538, 4000, 543, 2663, 28953, 547, 1585, 2694, 540, 519, 1158, 269, 26187, 559, 2963, 5267, 741, 4527, 538, 4525, 971, 607, 4000, 267, 5607, 630, 10175, 12868, 543, 3624, 1070, 543, 7654, 1256, 2342, 563, 2467, 568, 2963, 547, 2303, 602, 30941, 16245, 639, 1185, 1852, 936, 3595, 269, 634, 2702, 547, 946, 543, 1852, 3595, 1131, 723, 3177, 873, 609, 14246, 267, 4027, 267, 543, 519, 2702, 547, 3434, 1426, 267, 799, 2693, 1185, 1713, 5222, 593, 741, 2732, 543, 1514, 6384, 563, 276, 269, 30941, 646, 14988, 6199, 18424, 454, 295, 27622, 646, 14988, 6199, 18424, 568, 606, 17255, 2249, 540, 4630, 514, 514, 602, 5030, 538, 4000, 267, 2342, 267, 543, 5607, 689, 10199, 476, 10384, 267, 1822, 547, 476, 1220, 267, 1822, 1296, 3516, 269, 1358, 616, 2219, 547, 581, 519, 1463, 22660, 540, 1312, 30941, 683, 6387, 11209, 18424, 630, 1492, 3026, 6387, 628, 1023, 264, 543, 30941, 18682, 16772, 630, 19640, 3425, 1916, 295, 27622, 646, 14988, 6199, 18424, 17820, 513, 3575, 540, 26715, 2934, 267, 18071, 1312, 18642, 543, 811, 2413, 7592, 269, 1358, 1185, 513, 1804, 1532, 617, 1221, 4630, 514, 514, 267, 609, 606, 3328, 2634, 2450, 540, 827, 476, 272, 267, 1220, 12945, 17744, 563, 295, 27622, 646, 14988, 6199, 18424, 729, 513, 9952, 1907, 20447, 269, 1358, 1500, 513, 3099, 540, 6149, 2645, 267, 1519, 1688, 31320, 267, 1579, 28316, 267, 543, 16150, 619, 269, 1452, 2645, 941, 1031, 585, 4247, 971, 607, 855, 7815, 532, 2831, 267, 4393, 2371, 267, 543, 1818, 24181, 269, 4256, 1907, 2029, 4564, 606, 1271, 1900, 538, 1480, 2686, 1646, 563, 295, 27622, 646, 14988, 6199, 18424, 568, 2219, 547, 723, 1044, 519, 1101, 4630, 514, 514, 547, 1852, 3595, 269, 901, 4847, 873, 547, 3434, 1426, 267, 799, 1500, 621, 4443, 547, 7558, 543, 10110, 5567, 269, 898, 849, 4847, 873, 547, 3251, 3636, 693, 3781, 543, 547, 2149, 2933, 689, 11975, 563, 8448, 2038, 1480, 2249, 912, 268, 30941, 683, 6387, 11209, 18424, 281, 3026, 6387, 628, 1023, 5030, 689, 5111, 476, 6110, 267, 1822, 547, 476, 2412, 267, 1822, 1296, 3516, 269, 1358, 3838, 1082, 10486, 609, 2413, 3425, 267, 1519, 513, 3677, 2634, 2450, 543, 519, 2702, 547, 1711, 2645, 543, 4497, 538, 1950, 1514, 5615, 563, 268, 30941, 562, 531, 2664, 281, 30941, 562, 531, 2664, 568, 513, 5063, 4362, 2249, 602, 5030, 538, 3162, 4000, 1063, 476, 28178, 267, 1822, 543, 476, 26951, 267, 1822, 1296, 3516, 269, 1358, 4865, 513, 2189, 4999, 540, 1480, 6438, 543, 18642, 7592, 563, 8450, 849, 281, 5440, 476, 276, 9510, 3504, 12977, 454, 268, 9324, 529, 990, 753, 281, 9324, 529, 990, 753, 616, 513, 1895, 540, 4630, 514, 1231, 1634, 5097, 689, 5027, 2963, 13939, 689, 513, 9416, 5642, 1336, 538, 9324, 529, 13960, 29190, 538, 27584, 4997, 269, 1358, 2693, 17706, 13554, 543, 954, 321, 1042, 609, 1312, 3026, 6387, 628, 1023, 543, 2038, 2413, 3425, 563, 268, 30941, 1166, 2803, 16772, 529, 281, 30941, 1166, 2803, 16772, 529, 267, 849, 1634, 607, 519, 968, 295, 984, 4226, 892, 1813, 547, 741, 1507, 588, 1155, 267, 5030, 593, 519, 24414, 6532, 540, 4469, 2803, 1063, 476, 1911, 267, 1822, 543, 476, 2568, 267, 1822, 1296, 3516, 563, 268, 30941, 18682, 16772, 281, 30941, 18682, 16772, 267, 610, 2413, 3425, 267, 7153, 538, 4000, 1472, 476, 4968, 267, 1822, 1296, 3516, 543, 616, 519, 1152, 17005, 4630, 514, 514, 2249, 269, 1358, 5555, 3262, 2066, 519, 8608, 543, 2968, 519, 8789, 4630, 514, 514, 2249, 269, 0, 293, 17313, 1519, 17832, 12793, 454, 4131, 779, 1246, 681, 2940, 685, 593, 513, 7552, 1524, 29439, 26075, 685, 7077, 269, 901, 1576, 786, 4001, 721, 827, 3252, 540, 11708, 543, 875, 741, 3403, 543, 3977, 616, 6829, 563, 2171, 786, 1451, 827, 25158, 15614, 267, 5409, 2513, 553, 543, 12825, 11708, 269, 1284, 786, 849, 1451, 827, 5609, 267, 5430, 543, 16009, 11708, 563, 1607, 1576, 3217, 519, 9238, 835, 1900, 2417, 547, 1683, 930, 6905, 1806, 543, 2055, 585, 1346, 6267, 945, 2972, 513, 4161, 563, 290, 727, 723, 1187, 3695, 11708, 267, 543, 1565, 3579, 3252, 2059, 519, 1259, 269, 0, 4415, 519, 4028, 1646, 540, 1514, 4346, 267, 519, 3761, 540, 8093, 1648, 568, 4742, 5051, 9395, 267, 543, 519, 2825, 5533, 3361, 676, 3327, 1759, 1648, 568, 849, 3478, 811, 543, 811, 3007, 269, 1306, 519, 6205, 540, 2973, 1648, 538, 519, 476, 2641, 560, 2540, 267, 7250, 1648, 814, 13631, 1004, 781, 3007, 1317, 540, 922, 2973, 267, 3608, 543, 1164, 1648, 5860, 269, 2311, 1459, 267, 7250, 1648, 13345, 2029, 568, 7930, 9921, 267, 4492, 2281, 1210, 7250, 607, 4492, 2253, 547, 581, 4052, 267, 543, 3039, 2472, 971, 607, 7250, 6517, 543, 7250, 18434, 723, 1044, 2322, 593, 519, 2344, 269, 4475, 267, 519, 1646, 540, 3039, 7250, 1648, 814, 849, 1044, 5697, 607, 835, 540, 519, 1283, 4557, 6932, 4066, 538, 476, 1708, 271, 267, 543, 814, 1044, 2854, 538, 519, 2229, 960, 1867, 267, 799, 568, 835, 540, 519, 1271, 2081, 547, 3035, 3327, 29591, 269, 1717, 267, 1813, 547, 2789, 7687, 971, 607, 1799, 1155, 7250, 2504, 2029, 267, 1164, 2504, 1942, 543, 20541, 5989, 267, 7250, 1648, 568, 1869, 8572, 547, 581, 4922, 1031, 269, 2311, 1459, 267, 7250, 2504, 2409, 5631, 1331, 3114, 6963, 532, 7250, 2504, 267, 29230, 3974, 7250, 2504, 543, 6211, 7250, 2504, 269, 7324, 873, 267, 3114, 6963, 532, 7250, 2504, 2029, 568, 5266, 9921, 267, 609, 1970, 1648, 4616, 1942, 543, 1164, 7250, 2504, 267, 799, 568, 835, 540, 519, 1271, 7250, 2504, 2409, 269, 1717, 267, 538, 519, 1382, 540, 7250, 2504, 676, 3114, 6963, 532, 267, 519, 18463, 1062, 609, 7123, 29512, 2773, 543, 1164, 7250, 2504, 4398, 568, 711, 3501, 269, 2311, 1459, 267, 1082, 29622, 723, 4824, 519, 2534, 540, 519, 18463, 1062, 676, 22212, 519, 7250, 2504, 18463, 543, 3384, 1007, 18463, 7028, 267, 610, 4824, 519, 7250, 2504, 4398, 676, 17306, 519, 7250, 2504, 1184, 676, 6963, 532, 563, 305, 732, 3618, 2609, 723, 2027, 476, 275, 325, 5907, 2497, 543, 561, 13183, 534, 728, 16756, 720, 7613, 269, 4475, 267, 519, 16617, 543, 5786, 2702, 540, 519, 18463, 666, 581, 2417, 4824, 267, 519, 5250, 540, 4396, 3327, 543, 3679, 4609, 666, 581, 7409, 1243, 267, 543, 519, 2949, 29512, 2534, 540, 519, 18463, 666, 581, 8476, 676, 546, 14563, 4686, 3618, 8407, 883, 519, 9168, 6963, 532, 7250, 2504, 18463, 269, 634, 4122, 1031, 4686, 3618, 9168, 27857, 616, 5487, 267, 9919, 543, 2398, 267, 1851, 799, 267, 5487, 666, 2569, 519, 1966, 540, 3327, 18254, 538, 519, 5609, 18146, 540, 7250, 2504, 27857, 693, 1164, 5210, 282, 9919, 666, 23455, 321, 24775, 5135, 267, 2333, 18463, 24980, 267, 543, 1287, 3895, 7250, 2504, 676, 6963, 532, 282, 2398, 666, 2087, 519, 4550, 632, 716, 10474, 2702, 540, 519, 18463, 543, 2569, 519, 5114, 2837, 540, 7250, 2504, 269, 769, 519, 2460, 540, 22212, 519, 1489, 267, 4686, 3618, 666, 2569, 519, 15755, 4609, 540, 519, 1489, 267, 2087, 519, 1808, 2627, 1858, 540, 519, 1489, 543, 519, 24980, 540, 519, 18463, 6462, 593, 922, 2627, 267, 543, 2061, 922, 1071, 2297, 12412, 267, 3327, 18254, 267, 3092, 269, 4475, 267, 10257, 946, 540, 3624, 781, 3638, 4686, 3618, 2200, 547, 12189, 519, 29512, 1062, 585, 7250, 2504, 676, 6963, 532, 4249, 606, 1271, 1909, 538, 5009, 519, 1646, 543, 13345, 540, 7250, 1648, 269, 808, 21628, 3495, 19435, 568, 513, 2462, 11662, 540, 4686, 3618, 269, 769, 1931, 547, 4228, 519, 3039, 5599, 543, 3608, 13345, 540, 4686, 3618, 2200, 538, 519, 11662, 543, 519, 7269, 540, 4686, 3618, 2872, 5832, 267, 808, 21628, 3495, 27824, 3047, 3194, 4659, 540, 2160, 540, 3163, 543, 5303, 540, 3624, 786, 581, 4092, 538, 717, 11961, 17924, 267, 519, 8003, 540, 808, 21628, 3495, 27824, 3047, 538, 476, 1708 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3674, 21419, 781, 9814, 1412, 529, 1633, 262, 606, 594, 4753, 21612, 294, 286, 6115, 9823, 13355, 1843, 593, 21275, 781, 7599, 949, 723, 24111, 689, 17909, 540, 5836, 454, 268, 5565, 3744, 723, 5143, 25357, 15697, 602, 789, 1589, 519, 9649, 1843, 593, 21275, 781, 7599, 21419, 1223, 723, 1044, 606, 4672, 6199, 454, 268, 13562, 12002, 693, 715, 14505, 538, 4993, 941, 2451, 536, 3530, 1194, 676, 922, 5920, 454, 268, 898, 781, 2009, 519, 9649, 4183, 7153, 689, 896, 519, 4262, 607, 21419, 781, 8832, 25955, 7575, 689, 5614, 547, 4832, 543, 646, 1846, 909, 454, 268, 901, 949, 723, 20247, 617, 3022, 519, 1761, 4672, 6199, 689, 519, 26026, 539, 454, 268, 1717, 835, 4274, 3081, 713, 1131, 711, 581, 513, 3463, 547, 2104, 16996, 9709, 547, 2263, 519, 15798, 540, 21419, 454, 268, 634, 7372, 1843, 7902, 538, 835, 540, 21419, 781, 4102, 15798, 538, 5147, 476, 1001, 274, 1354, 7106, 8960, 9944, 519, 2627, 1586, 538, 4864, 476, 1001, 275, 454, 268, 898, 1223, 849, 581, 513, 2361, 540, 8375, 18616, 689, 642, 757, 610, 896, 22855, 22747, 454, 268, 16424, 2242, 899, 713, 568, 835, 540, 519, 1883, 3853, 540, 715, 14505, 781, 18706, 7236, 14361, 602, 568, 4867, 538, 10739, 538, 519, 21275, 1014, 1062, 454, 28606, 17067, 713, 3018, 3744, 941, 2451, 536, 3530, 1194, 676, 513, 5458, 4183, 602, 17774, 3166, 538, 519, 15798, 540, 21419, 602, 6027, 513, 31417, 476, 1911, 4009, 5195, 630, 18605, 338, 336, 5998, 264, 910, 519, 2450, 540, 6115, 9823, 610, 519, 2749, 540, 27257, 538, 519, 5177, 563, 4517, 538, 519, 5767, 25127, 513, 1297, 540, 6436, 723, 1044, 2808, 1519, 513, 9649, 4672, 6199, 543, 513, 5458, 2361, 540, 18616, 563, 11854, 1136, 547, 25357, 15697, 267, 1079, 3744, 6045, 741, 4555, 593, 1018, 621, 1522, 723, 1044, 543, 602, 789, 4126, 547, 1451, 811, 2390, 7368, 7422, 2038, 1985, 1032, 563, 1103, 713, 3126, 540, 2592, 689, 519, 18706, 7236, 14361, 519, 9649, 1843, 476, 1911, 4009, 5195, 630, 18605, 4009, 21240, 264, 538, 2450, 568, 2938, 8375, 856, 540, 835, 540, 21419, 781, 4102, 15798, 1354, 7106, 8960, 1586, 269, 769, 519, 5767, 3239, 593, 519, 1318, 519, 1843, 1869, 4667, 547, 581, 13148, 24760, 9944, 519, 2627, 454, 1103, 5147, 476, 1001, 274, 519, 9649, 4183, 729, 2938, 17774, 5217, 689, 896, 519, 5277, 1354, 13148, 7106, 8960, 1586, 538, 4864, 713, 1032, 563, 8802, 8973, 519, 4672, 6199, 3069, 835, 10196, 6941, 875, 267, 952, 621, 781, 519, 2953, 13429, 267, 789, 1522, 8428, 547, 4672, 6199, 338, 593, 3047, 563, 262, 2690, 513, 3787, 540, 4282, 267, 593, 3047, 621, 781, 3833, 513, 2241, 3510, 1317, 4672, 6083, 1846, 538, 1216, 10086, 26778, 670, 1993, 326, 691, 1676, 267, 513, 10927, 2875, 693, 26658, 2160, 945, 1568, 593, 519, 18706, 7236, 7101, 541, 3163, 12243, 267, 6645, 25357, 15697, 563, 262, 4002, 21419, 621, 781, 811, 7294, 1317, 596, 723, 513, 15655, 543, 2802, 2033, 7848, 267, 649, 1589, 267, 543, 972, 781, 9436, 689, 519, 5790, 602, 849, 4991, 15702, 563, 15578, 5990, 3036, 22494, 14298, 674, 2752, 454, 763, 4672, 6199, 3069, 568, 835, 540, 519, 811, 7957, 10696, 3283, 693, 519, 4090, 269, 901, 5267, 930, 13792, 2527, 267, 5310, 13792, 15655, 543, 2802, 2033, 267, 729, 20247, 617, 3022, 689, 519, 26026, 539, 543, 9782, 547, 519, 2627, 563, 5194, 3069, 568, 602, 713, 949, 581, 513, 5318, 2361, 540, 18616, 5950, 676, 11895, 642, 757, 540, 22747, 602, 616, 1631, 16889, 593, 519, 2627, 563, 2005, 1223, 849, 581, 2627, 6329, 1743, 14823, 2066, 519, 4262, 267, 4352, 713, 3069, 568, 12691, 607, 21419, 568, 22619, 958, 19526, 547, 21275, 630, 1492, 1482, 3068, 849, 2798, 2509, 519, 4541, 264, 865, 922, 15798, 547, 711, 723, 29500, 607, 10565, 607, 1346, 2938, 593, 3047, 563, 3080, 3069, 602, 602, 814, 1044, 12199, 856, 568, 602, 713, 568, 513, 2244, 2527, 269, 26778, 670, 1993, 326, 691, 1676, 689, 26658, 2160, 3081, 952, 621, 729, 621, 1131, 723, 1044, 7298, 896, 519, 5277, 538, 519, 3105, 2592, 563, 24202, 334, 950, 596, 19068, 621, 267, 621, 25457, 7294, 5888, 2242, 563, 262, 15371, 596, 666, 1205, 4672, 6199, 338, 602, 666, 10581, 568, 513, 2339, 585, 7521, 267, 855, 621, 781, 2009, 563, 262, 2691, 621, 2112, 916, 1346, 4672, 6199, 338, 1223, 6467, 689, 29855, 547, 13735, 25692, 295, 1993, 326, 691, 1676, 6941, 875, 519, 7187, 21571, 267, 1141, 519, 4672, 6199, 729, 19481, 267, 568, 4867, 28006, 689, 5614, 942, 547, 4832, 563, 1607, 1184, 1522, 581, 3743, 585, 8337, 519, 1016, 1606, 16577, 4672, 6199, 338, 267, 799, 1287, 3361, 873, 547, 4473, 689, 519, 26026, 539, 563, 8448, 3157, 899, 14768, 538, 519, 4262, 1223, 849, 581, 20247, 617, 3101, 971, 2934, 563, 5194, 3069, 568, 602, 621, 568, 513, 19389, 267, 4352, 711, 8209, 513, 9649, 19389, 2066, 519, 2898, 4183, 563, 295, 1993, 326, 691, 1676, 3081, 621, 1223, 581, 513, 3126, 540, 4130, 18616, 3262, 936, 519, 5458, 1858, 267, 1142, 5310, 1175, 1298, 22015, 637, 538, 2450, 563, 763, 2014, 540, 891, 18616, 1223, 581, 642, 757, 267, 896, 22855, 22747, 610, 12119, 2242, 563, 3080, 3069, 602, 666, 581, 12199, 856, 267, 2705, 267, 568, 602, 713, 568, 930, 4990, 540, 9649, 1875, 268, 823, 2244, 2527, 602, 814, 24111, 689, 519, 17909, 563, 1607, 568, 1317, 519, 16986, 1062, 593, 18706, 7236, 666, 23309, 883, 519, 5277, 865, 621, 1131, 723, 19481, 971, 513, 2244, 2527, 563, 262, 2252, 713, 729, 513, 2244, 2527, 610, 16095, 6366, 896, 519, 4262, 267, 649, 1058, 723, 2938, 621, 538, 4505, 2592, 1317, 519, 16986, 1131, 723, 11579, 3603, 10086, 646, 6941, 563, 288, 6476, 3239, 689, 476, 2918, 4989, 476, 1220, 278, 630, 3847, 264, 2982, 875, 1100, 2147, 4183, 729, 5892, 19481, 538, 519, 3148, 540, 1719, 269, 634, 4183, 729, 19481, 676, 715, 14505, 781, 18706, 7236, 14361, 267, 799, 568, 4867, 538, 10739, 1472, 519, 21275, 1014, 1062, 269, 2201, 519, 1318, 568, 606, 3239, 540, 21419, 538, 10739, 1472, 21275, 454, 5194, 4183, 540, 519, 2592, 568, 602, 519, 1843, 5526, 547, 581, 535, 8172, 563, 262, 296, 1810, 1405, 917, 952, 602, 781, 4376, 547, 798, 609, 1018, 781, 896, 519, 5277, 282, 649, 1294, 621, 781, 8519, 538, 21386, 606, 14178, 563, 24202, 334, 1018, 1223, 581, 8345, 568, 621, 781, 10825, 856, 543, 4742, 1447, 13671, 538, 835, 1858, 267, 543, 10825, 883, 513, 3677, 1858, 25692, 763, 4183, 568, 6157, 4686, 267, 4352, 621, 781, 2009, 602, 811, 949, 581, 19481, 538, 2104, 563, 1607, 1808, 1858, 786, 581, 708, 3042, 676, 16986, 1586, 2038, 538, 476, 1001, 276, 267, 543, 4010, 1018, 1533, 519, 4183, 568, 538, 786, 15983, 581, 540, 5458, 1719, 563, 3080, 540, 715, 14505, 781, 2104, 18747, 547, 21419, 568, 585, 513, 10935, 547, 13743, 519, 15798, 267, 855, 670, 1993, 326, 691, 1676, 3081, 2934, 899, 713, 1131, 711, 8209, 581, 513, 3463, 547, 971, 513, 5692, 563, 262, 22818, 519, 10935, 1223, 948, 721, 17970, 1524, 1018, 568, 8345, 1934, 10086, 646, 3081, 563, 1607, 568, 606, 7376, 781, 12705, 540, 519, 21419, 631, 732, 25817, 630, 307, 328, 10933, 264, 23555, 267, 513, 6069, 5692, 547, 1685, 519, 1101, 1463, 14791, 540, 606, 5836, 1604, 3564, 3047, 676, 13941, 538, 267, 543, 13735, 593, 267, 513, 15655, 268, 996, 2033, 4262, 593, 21275, 779, 4102, 7599, 281, 21419, 454, 11854, 1136, 547, 25357, 15697, 7905, 540, 4643, 8767, 26736, 2742, 8212, 21877, 645, 684, 576, 689, 519, 2160, 540, 2274, 1182, 614, 267, 945, 849, 1568, 593, 519, 18706, 7236, 5692, 267, 8815, 602, 621, 949, 723, 1044, 930, 4990, 540, 4672, 6199, 28330, 547, 1945, 649, 1294, 593, 3047, 563, 262, 2005, 1223, 581, 1945, 13735, 602, 3141, 330, 543, 3357, 1394, 547, 519, 2627, 10086, 1352, 3081, 563, 262, 296, 729, 3206, 3592, 899, 606, 4672, 6199, 267, 2147, 547, 1945, 538, 3047, 781, 12084, 25692, 3719, 1352, 3085, 1405, 4341, 856, 519, 7872, 540, 621, 1373, 930, 4990, 540, 9649, 19389, 267, 610, 1256, 2627, 6329, 563, 9515, 4422, 593, 547, 2491, 602, 519, 4183, 949, 723, 818, 17470, 1813, 547, 519, 1689, 538, 4005, 693, 21275, 563, 763, 1101, 3239, 538, 476, 1220, 278, 729, 3144, 1412, 19925, 21275, 1226, 514, 2135, 1496, 15290, 519, 3141, 568, 1657, 519, 20337, 3910, 543, 1287, 519, 5767, 3239, 568, 1631, 16144, 2509, 7187, 4832, 1151, 560, 823, 593, 21275, 563, 31415, 1002, 781, 4990, 540, 606, 5571, 6249, 585, 513, 2603, 540, 519, 18706, 7236, 2164, 282, 513, 2603, 540, 1919, 4096, 593, 519, 4005, 693, 21275, 607, 621, 7575, 538, 10739, 563, 262, 10303, 713, 10720, 3294, 568, 2965, 2282, 547, 21419, 781, 7187, 15393, 267, 5310, 621, 568, 1945, 547, 798, 609, 26149, 2175, 25692, 763, 4183, 729, 19481, 538, 700, 15607, 807, 631, 732, 630, 3333, 1144, 1070, 835, 540, 519, 4102, 15798, 593, 21419, 267, 543, 729, 4767, 676, 18706, 7236, 781, 16986, 4603, 269, 11153, 6436, 4867, 2291, 1519, 2627, 6329, 267, 8375, 18616, 267, 13735, 17571, 267, 17571, 17735, 1175, 2630, 519, 2627, 610, 1412, 31138, 811, 16678, 262, 2687, 547, 715, 14505, 454, 763, 4183, 729, 19481, 676, 715, 14505, 781, 18706, 7236, 14361, 267, 799, 568, 4867, 538, 10739, 1472, 519, 21275, 1014, 1062, 563, 2005, 729, 19481, 538, 700, 15607, 807, 631, 732, 267, 835, 540, 519, 4102, 15798, 593, 21419, 267, 543, 729, 4767, 676, 18706, 7236, 781, 16986, 6293, 563, 1103, 2592, 689, 476, 1015, 5147, 476, 1001, 274, 547, 476, 2641, 4864, 476, 1001, 275, 519, 4183, 568, 3254, 8375, 543, 1287, 9991, 2630, 519, 2627, 563, 2316, 307, 3198, 281, 20389, 7838, 301, 24202, 700, 2752, 294, 12239, 17834, 2177, 454, 4415, 922, 5394, 5790, 543, 5214, 11656, 7998, 267, 21419, 20998, 513, 13792, 4528, 540, 3047, 1896, 5479, 1296, 3516, 267, 1354, 1272, 3459, 23028, 5135, 883, 938, 5790, 563, 10303, 21419, 568, 4130, 982, 3047, 267, 922, 8904, 3085, 1405, 3180, 5196, 922, 31529, 23508, 607, 17401, 267, 865, 519, 5790, 11498, 476, 24907, 5195, 630, 276, 4817, 21240, 264, 883, 2230, 563, 2026, 593, 3047, 267, 519, 2916, 568, 9141, 6140, 676, 2242, 538, 519, 2179, 540, 7943, 602, 2501, 609, 519, 12405, 267, 4352, 519, 12405, 593, 21419, 616, 827, 5722, 3047, 1296, 1279, 563, 307, 11939, 781, 1412, 4248, 262, 568, 5277, 15655, 267, 8863, 275, 267, 1732, 1634, 593, 3047, 607, 2067, 3154, 269, 8617, 3047, 21226, 267, 670, 273, 302, 267, 1131, 581, 13792, 4396, 593, 21419, 1141, 519, 2627, 2837, 568, 910, 5197, 9180, 11196, 29580, 13790, 1916, 4415, 21419, 781, 1970, 8904, 543, 10053, 5790, 267, 15655, 986, 785, 28979, 1223, 1332, 7466, 607, 1804, 607, 3047, 781, 986, 785, 28979, 269, 1306, 1134, 607, 713, 267, 789, 1131, 2887, 811, 7444, 267, 1743, 14823, 1524, 899, 6777, 4148, 1389, 563, 3719, 3744, 1589, 621, 22856, 5310, 1152, 1169, 1906, 5756, 563, 288, 6476, 3239, 689, 476, 2918, 4989, 476, 1220, 278, 2982, 875, 1100, 2147, 4183, 729, 5892, 19481, 538, 602, 3148, 563, 763, 12357, 4183, 5526, 6505, 538, 519, 16986, 2592, 267, 11021, 621, 814, 513, 10169, 2147, 5888, 547, 519, 2244, 7404, 538, 519, 3239, 563, 1607, 7028, 835, 3069, 602, 621, 949, 581, 513, 4396, 2497, 602, 17774, 3166, 689, 896, 519, 5277, 1354, 29855, 1586, 585, 606, 7164, 2601, 563, 763, 4158, 1858, 538, 519, 3239, 568, 519, 5277, 8652, 21666, 4262, 593, 21419, 781, 2627, 267, 1247, 519, 6505, 1858, 547, 519, 1318, 568, 2244, 563, 14722, 593, 519, 16986, 2319, 616, 8746, 602, 519, 4183, 568, 711, 606, 31074, 910, 610, 16950, 910, 538, 741, 1239, 563, 5445, 723, 849, 12199, 856, 519, 7872, 540, 621, 1373, 1813, 547, 21381, 267, 607, 519, 7404, 32132, 814, 711, 4957, 1454, 563, 15703, 6436, 4867, 2291, 1519, 2627, 6329, 267, 8375, 18616, 267, 13735, 17571, 267, 17571, 17735, 1175, 2630, 519, 2627, 610, 1412, 31138, 811, 16678, 262, 2687, 547, 715, 14505, 563, 763, 5920, 540, 519, 4183, 949, 849, 581, 1813, 547, 4657, 12405, 593, 21419, 267, 609, 4832, 5373, 2282, 538, 519, 7599, 781, 7187, 21571, 563, 12507, 13501, 891, 2242, 568, 513, 2101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10821, 5321, 616, 13269, 547, 581, 9112, 689, 3735, 268, 866, 628, 2540, 547, 2038, 268, 736, 628, 2540, 269, 3509, 1883, 20375, 899, 11918, 807, 16549, 329, 573, 267, 16679, 336, 1695, 3887, 5336, 537, 5055, 267, 26527, 1690, 717, 534, 724, 543, 695, 21218, 723, 1044, 3710, 4583, 17710, 540, 22758, 563, 8698, 540, 22337, 660, 1144, 689, 2098, 664, 320, 918, 611, 531, 15167, 454, 347, 292, 4582, 566, 1475, 272, 267, 276, 5952, 544, 630, 276, 267, 1220, 10264, 10245, 347, 11742, 7997, 1475, 7473, 290, 266, 276, 281, 1789, 630, 8780, 10245, 25238, 2700, 689, 16156, 1475, 279, 4391, 269, 275, 21240, 630, 26392, 269, 274, 11465, 10245, 25238, 2700, 689, 29180, 1475, 273, 267, 4572, 269, 277, 21240, 630, 272, 267, 3607, 273, 269, 275, 11465, 10245, 763, 1858, 729, 12306, 811, 982, 476, 1220, 271, 1296, 3516, 538, 476, 274, 6113, 2540, 7460, 676, 14076, 320, 623, 9545, 1513, 6511, 269, 634, 1858, 568, 519, 13398, 540, 519, 3140, 20375, 1500, 676, 519, 4583, 17710, 540, 22758, 269, 634, 3140, 20375, 1331, 11918, 807, 16549, 329, 573, 538, 3767, 1002, 3279, 267, 16679, 336, 1695, 3887, 268, 631, 537, 5055, 538, 2098, 3570, 918, 611, 531, 589, 8932, 16549, 329, 573, 538, 661, 573, 326, 1695, 267, 26527, 1690, 717, 534, 329, 19772, 538, 26527, 1690, 717, 534, 329, 267, 11202, 541, 630, 7723, 264, 16549, 329, 573, 538, 715, 1177, 629, 1794, 541, 267, 543, 2701, 16554, 19869, 592, 1627, 611, 597, 8614, 601, 8643, 781, 695, 9068, 538, 10609, 1415, 541, 269, 5047, 267, 519, 10162, 5633, 7195, 695, 9068, 568, 849, 13883, 538, 519, 1858, 563, 298, 1662, 18029, 328, 568, 519, 1292, 1893, 540, 519, 1858, 269, 4658, 849, 946, 21460, 543, 2296, 607, 6281, 4654, 269, 898, 568, 6059, 602, 519, 25708, 814, 519, 2551, 540, 3368, 513, 2929, 799, 568, 827, 476, 5325, 260, 540, 519, 2698, 2551, 540, 590, 12541, 26196, 8664, 563, 1103, 5181, 476, 1001, 275, 519, 1533, 540, 808, 2459, 340, 543, 22758, 729, 5734, 676, 17160, 3361, 676, 8731, 1370, 658, 11811, 269, 634, 1858, 540, 22337, 660, 1144, 729, 2547, 4299, 607, 3379, 547, 519, 1964, 540, 590, 12541, 26196, 267, 1498, 2673, 547, 519, 5757, 267, 519, 1004, 689, 824, 2694, 540, 590, 12541, 26196, 17146, 547, 25708, 585, 3106, 269, 20497, 5656, 543, 10821, 5321, 543, 6554, 13646, 941, 695, 13593, 547, 4986, 538, 519, 7755, 334, 1456, 2127, 269, 4658, 4503, 741, 2729, 543, 3601, 543, 519, 2898, 1858, 729, 1305, 593, 519, 2804, 1394, 20356, 269, 12140, 267, 10506, 543, 824, 4025, 540, 1713, 2956, 941, 8697, 676, 519, 17160, 563, 763, 2127, 799, 16030, 22337, 660, 1144, 590, 12541, 26196, 1331, 281, 8894, 347, 2420, 1475, 298, 7315, 336, 1695, 552, 544, 2129, 718, 320, 1475, 11947, 2008, 347, 2918, 1475, 31624, 4439, 561, 1678, 518, 1475, 20181, 2008, 763, 476, 1960, 274, 700, 531, 932, 578, 330, 3595, 630, 32173, 958, 4414, 12384, 264, 4016, 547, 519, 818, 5459, 4323, 593, 519, 1292, 5010, 4099, 540, 25708, 590, 12541, 26196, 267, 22758, 267, 602, 3576, 1747, 593, 476, 1015, 4989, 476, 1960, 274, 269, 634, 3595, 568, 16957, 676, 2229, 8387, 547, 723, 1044, 3323, 676, 513, 15624, 1651, 1243, 676, 17740, 1218, 267, 1247, 21127, 543, 7128, 8387, 26906, 676, 5274, 7126, 13772, 543, 824, 14540, 620, 5076, 602, 519, 4095, 27079, 8232, 17086, 630, 7034, 293, 264, 1305, 3595, 547, 519, 1327, 1275, 538, 1427, 531, 2747, 585, 519, 8781, 540, 606, 14460, 29172, 293, 2679, 676, 2199, 7264, 269, 3683, 476, 10219, 21127, 941, 7166, 538, 519, 1476, 25419, 1674, 543, 519, 1671, 5224, 15246, 676, 29172, 293, 10136, 269, 1001, 277, 1700, 1704, 22758, 19727, 454, 763, 476, 1001, 277, 1700, 1704, 19727, 538, 22758, 267, 849, 1634, 607, 519, 8738, 7315, 21987, 267, 4016, 547, 513, 3126, 540, 10795, 17600, 538, 519, 22758, 9503, 540, 519, 4095, 1533, 540, 808, 2459, 340, 543, 22758, 269, 898, 3323, 609, 519, 11318, 540, 8738, 7315, 654, 8643, 267, 513, 19524, 540, 519, 22758, 2861, 9099, 17740, 656, 13539, 670, 714, 12712, 16334, 26400, 728, 523, 267, 676, 4095, 3354, 4229, 593, 476, 279, 5147, 476, 1001, 277, 269, 2991, 1010, 11318, 267, 4550, 268, 24465, 17600, 3323, 538, 782, 476, 1015, 13102, 540, 519, 22758, 9503, 269, 5019, 22246, 1219, 1221, 1225, 325, 1168, 609, 6285, 593, 3354, 4229, 543, 1857, 3601, 5861, 584, 325, 1168, 729, 13684, 538, 782, 476, 1015, 13102, 540, 519, 14860, 593, 476, 1428, 5147, 543, 5985, 2533, 941, 17735, 676, 519, 2229, 269, 22758, 14860, 7283, 896, 476, 7871, 2395, 540, 15654, 1225, 325, 1168, 799, 729, 24850, 689, 782, 2127, 593, 476, 4029, 4864, 267, 2705, 729, 556, 574, 12723, 538, 930, 2127, 519, 1985, 1554, 269, 808, 2459, 340, 543, 22758, 17318, 543, 4095, 4164, 26090, 4229, 1031, 10652, 2280, 15963, 267, 15237, 3154, 16115, 267, 12285, 4439, 7410, 267, 607, 1134, 607, 14213, 20711, 956, 267, 4611, 538, 519, 7972, 540, 811, 982, 476, 3445, 21127, 267, 609, 936, 476, 1428, 267, 1822, 21127, 13676, 543, 607, 519, 1267, 540, 10652, 2280, 15963, 267, 1082, 1004, 849, 941, 9420, 539, 269, 5565, 3354, 10986, 849, 5747, 1247, 936, 476, 275, 267, 1822, 10986, 941, 13676, 538, 519, 27632, 1824, 2529, 727, 6241, 1235, 1519, 20031, 1744, 1678, 541, 808, 3873, 723, 17941, 519, 19727, 607, 22758, 781, 2271, 604, 3385, 6185, 2088, 715, 987, 9931, 328, 454, 291, 2088, 715, 987, 9931, 328, 630, 291, 514, 534, 987, 9931, 328, 1070, 849, 1634, 676, 1010, 4050, 2012, 31471, 770, 22758, 328, 630, 5002, 279, 1700, 1220, 277, 1070, 729, 513, 12021, 1216, 7990, 7376, 543, 10564, 689, 590, 12541, 26196, 2749, 538, 22758, 14860, 269, 1261, 729, 519, 851, 540, 519, 2413, 1148, 3350, 538, 519, 1533, 540, 808, 2459, 340, 543, 22758, 543, 729, 1634, 585, 7206, 4948, 10207, 540, 22758, 269, 3891, 5030, 538, 645, 8014, 541, 7195, 320, 1858, 540, 590, 12541, 26196, 267, 799, 814, 1044, 1753, 547, 1082, 22758, 328, 17455, 527, 5159, 1519, 590, 12991, 269, 645, 1002, 543, 15011, 534, 14175, 320, 14371, 17922, 5441, 585, 6468, 267, 715, 1177, 752, 611, 531, 590, 12541, 26196, 454, 30025, 5441, 585, 6468, 267, 715, 1177, 752, 611, 531, 590, 12541, 26196, 630, 21589, 706, 282, 476, 406, 363, 15906, 14507, 14180, 14534, 14180, 405, 373, 476, 30764, 8294, 12022, 404, 361, 12168, 362, 15906, 8294, 20254, 17262, 14180, 476, 14180, 15906, 8294, 476, 30764, 21333, 12022, 12168, 367, 14507, 17262, 14180, 406, 363, 14507, 264, 4122, 1634, 607, 6468, 781, 2852, 715, 1177, 752, 611, 531, 267, 3767, 330, 611, 531, 5441, 568, 513, 2160, 6182, 1218, 8189, 6444, 476, 273, 289, 543, 476, 1321, 325, 2852, 4092, 538, 6196, 4975, 22337, 660, 1144, 590, 12541, 26196, 269, 898, 729, 3964, 538, 476, 3422, 272, 7868, 2852, 568, 28337, 609, 519, 2160, 540, 22758, 269, 898, 568, 519, 1152, 6468, 26323, 538, 22758, 9503, 5356, 25642, 1299, 2359, 20043, 563, 2005, 814, 1044, 13752, 3446, 834, 288, 257, 676, 519, 19364, 3722, 13034, 600, 5633, 631, 12112, 4777, 558, 454, 295, 600, 5633, 631, 12112, 4777, 558, 22758, 328, 267, 2442, 569, 1634, 607, 631, 12112, 4777, 558, 19300, 756, 630, 322, 269, 476, 14983, 275, 1107, 524, 269, 476, 14991, 277, 1070, 729, 513, 2672, 25206, 7793, 545, 267, 16159, 543, 5289, 4116, 2713, 538, 22758, 269, 1261, 568, 3006, 5219, 547, 607, 2725, 327, 2692, 984, 268, 592, 25575, 600, 630, 32173, 958, 267, 834, 331, 3437, 676, 782, 8442, 543, 29001, 268, 592, 5025, 337, 1057, 523, 630, 32173, 958, 267, 834, 6362, 540, 1346, 945, 917, 2696, 20257, 295, 926, 3474, 321, 520, 454, 295, 926, 3474, 321, 520, 568, 513, 14629, 6772, 8504, 590, 12541, 26196, 267, 519, 4102, 2749, 543, 4832, 3854, 540, 808, 2459, 340, 543, 22758, 267, 3127, 269, 898, 568, 519, 3135, 540, 513, 6830, 267, 3710, 538, 519, 20736, 3757, 328, 5736, 267, 543, 540, 513, 9699, 11454, 267, 9923, 13196, 267, 543, 575, 6324, 342, 4673, 13034, 1662, 574, 1627, 999, 6062, 454, 295, 1662, 574, 1627, 999, 6062, 630, 9799, 5239, 476, 272, 267, 476, 4198, 274, 538, 700, 531, 645, 1794, 541, 267, 590, 12541, 26196, 267, 808, 2459, 340, 543, 22758, 264, 568, 513, 605, 23949, 11163, 22758, 328, 3021, 520, 626, 6205, 543, 835, 540, 519, 15713, 2818, 540, 808, 2459, 340, 22758, 8644, 3130, 13571, 630, 297, 298, 299, 293, 264, 543, 568, 1631, 519, 30626, 540, 808, 2459, 340, 22758, 14891, 8644, 3130, 9549, 630, 297, 28474, 10861, 1070, 835, 540, 519, 1292, 3021, 520, 626, 22758, 328, 2797, 14540, 799, 1193, 1161, 547, 1265, 513, 2797, 3070, 547, 519, 22758, 3390, 998, 12560, 543, 2797, 2238, 14389, 1662, 18029, 9503, 454, 763, 22758, 9503, 267, 849, 1634, 607, 519, 966, 1446, 540, 22758, 267, 568, 606, 954, 23992, 2033, 14860, 538, 519, 6712, 540, 519, 22758, 3148, 13950, 676, 3127, 269, 634, 14860, 568, 22112, 593, 519, 22236, 676, 519, 623, 597, 7754, 329, 531, 16186, 543, 593, 519, 22583, 676, 519, 1292, 22615, 28569, 2039, 269, 898, 568, 5111, 476, 13670, 5998, 1279, 543, 476, 3953, 5998, 2647, 267, 543, 27071, 676, 519, 808, 3559, 636, 5211, 14389, 1662, 18029, 6498, 568, 835, 540, 519, 1614, 11889, 15523, 540, 519, 4095, 13950, 1533, 540, 808, 2459, 340, 543, 22758, 269, 634, 22758, 6498, 10665, 808, 2459, 340, 10406, 547, 519, 5045, 543, 28247, 12112, 547, 519, 7532, 1247, 7412, 540, 6513, 3029, 922, 7187, 543, 519, 7262, 8473, 269, 634, 6498, 5161, 540, 519, 1739, 13102, 281, 1323, 656, 333, 698, 267, 4446, 600, 1638, 320, 267, 14863, 326, 600, 267, 17020, 760, 648, 267, 717, 6387, 4472, 267, 918, 1575, 342, 4673, 267, 918, 592, 326, 600, 267, 17240, 342, 4821, 267, 19255, 1014, 543, 590, 12541, 26196, 14389, 1662, 18029, 328, 11951, 454, 298, 1662, 18029, 328, 11951, 568, 519, 11951, 540, 519, 22758, 9503, 3148, 540, 3127, 269, 19676, 568, 519, 20013, 1426, 540, 22758, 529, 543, 814, 1044, 865, 2094, 3504, 2053, 269, 29133, 267, 2059, 609, 7573, 267, 568, 519, 1034, 2442, 1426, 6221, 538, 22758, 269, 22758, 529, 8532, 5779, 642, 528, 659, 13124, 269, 6736, 1373, 23347, 2381, 267, 1034, 22758, 328, 27734, 616, 5779, 3548, 619, 14389, 327, 1415, 541, 454, 298, 327, 1415, 541, 568, 513, 1327, 1275, 538, 25708, 590, 12541, 26196, 540, 4095, 1533, 540, 808, 2459, 340, 543, 22758, 269, 898, 6013, 827, 476, 275, 12919, 5087, 689, 700, 531, 932, 578, 330, 269, 10609, 1415, 541, 568, 1634, 585, 519, 695, 21218, 540, 667, 770, 613, 518, 19300, 756, 799, 6585, 519, 882, 545, 540, 19869, 592, 1627, 611, 597, 16500, 8643, 543, 10162, 5633, 7195, 267, 19772, 540, 962, 15120, 1306, 2378, 11482, 531, 932, 578, 330, 454, 299, 531, 932, 578, 330, 568, 513, 2749, 4009, 630, 32173, 958, 4414, 12384, 264, 538, 590, 12541, 26196, 538, 519, 4095, 1533, 540, 808, 2459, 340, 1299, 22758, 269, 700, 531, 932, 578, 330, 729, 3957, 865, 676, 19382, 26310, 15628, 6273, 676, 519, 6739, 7169, 607, 789, 10692, 26527, 24652, 670, 926, 19453, 269, 898, 568, 513, 2757, 1747, 585, 2797, 11401, 609, 26836, 1695, 22611, 531, 3026, 327, 745, 267, 808, 2459, 340, 1299, 737, 1662, 18029, 1101, 11788, 10579, 267, 2701, 16554, 19869, 31608, 267, 22758, 781, 1101, 30856, 543, 1585, 824, 22758, 328, 3401, 2348, 9619, 1004, 689, 621, 269, 8266, 540, 22681, 13685, 538, 2904, 476, 1001, 279, 454, 1607, 568, 513, 1592, 540, 930, 540, 519, 22681, 267, 16957, 22681, 610, 16143, 22681, 13685, 799, 3576, 1747, 538, 2904, 476, 1001, 279, 267, 1519, 13685, 676, 10795, 1875, 15581, 11051, 585, 2797, 267, 3909, 267, 610, 20748, 24500, 8160, 684, 1177, 541, 2806, 611, 454, 300, 684, 1177, 541, 2806, 611, 630, 29455, 607, 544, 10044, 822, 15254, 513, 320, 22678, 611, 282, 18457, 14507, 21333, 15906, 815, 27755, 14180, 15906, 14507, 18457, 24220, 8294, 21333, 1070, 12725, 1634, 607, 16189, 328, 8705, 630, 300, 684, 1177, 541, 21171, 1070, 568, 513, 4884, 4092, 538, 2295, 540, 590, 12541, 26196, 630, 298, 17307, 1040, 898, 568, 476, 273, 5998, 689, 700, 531, 932, 578, 330, 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 ]
[ 5396, 971, 607, 3332, 267, 14364, 267, 543, 3308, 6575, 780, 4089, 4083, 281, 634, 28249, 1063, 623, 275, 290, 543, 30765, 4065, 692, 291, 18769, 2069, 3091, 15417, 2666, 585, 7598, 623, 275, 290, 1813, 547, 922, 7915, 1445, 593, 5698, 267, 2792, 267, 543, 3860, 1966, 6061, 269, 1635, 10128, 6138, 883, 10565, 2238, 899, 1909, 25178, 532, 267, 27906, 5314, 267, 543, 9423, 267, 7855, 1711, 3255, 585, 4514, 6278, 609, 1950, 2093, 1247, 5009, 5042, 267, 1514, 267, 543, 3929, 2208, 269, 1280, 3236, 267, 1053, 1522, 4497, 538, 513, 10952, 4901, 1472, 513, 1915, 781, 18144, 538, 513, 1404, 610, 5659, 5683, 21140, 4843, 538, 513, 3209, 780, 4089, 8633, 281, 11588, 540, 23889, 623, 275, 290, 883, 30765, 4065, 692, 22137, 723, 3254, 1896, 2318, 4093, 950, 6220, 623, 275, 290, 883, 12416, 2069, 3292, 269, 2368, 1883, 5383, 1331, 1384, 272, 269, 24046, 2565, 3206, 5759, 910, 3414, 11295, 19929, 267, 1053, 2259, 7421, 7440, 267, 7114, 10054, 267, 543, 1818, 2601, 539, 21520, 269, 1452, 1983, 616, 4483, 762, 2066, 10459, 543, 3565, 547, 15400, 1565, 563, 273, 269, 20865, 32705, 16169, 910, 1306, 1053, 7119, 538, 10952, 9840, 267, 789, 24917, 741, 11913, 4082, 267, 3742, 6947, 267, 543, 19908, 5759, 269, 1358, 1451, 547, 24808, 4555, 5693, 267, 6432, 18906, 1947, 547, 1866, 267, 543, 4431, 4020, 1947, 1282, 22195, 563, 274, 269, 674, 739, 1229, 6568, 543, 5133, 23824, 910, 12056, 538, 10952, 5717, 2636, 1053, 547, 2015, 4244, 16752, 267, 5660, 3309, 2833, 267, 543, 1628, 4296, 609, 9905, 269, 901, 1184, 7512, 13784, 543, 8994, 2463, 1312, 3330, 543, 3544, 519, 4928, 563, 275, 269, 7402, 2227, 3022, 5876, 543, 9345, 910, 10289, 7493, 2035, 998, 12416, 6087, 1053, 547, 1589, 3564, 6671, 6302, 543, 19424, 5499, 3435, 269, 6270, 3860, 18697, 10802, 7499, 7215, 543, 3986, 2949, 7214, 1646, 563, 276, 269, 16237, 6533, 539, 6043, 543, 1582, 30625, 910, 12160, 908, 538, 623, 275, 290, 7886, 3340, 9639, 267, 16177, 267, 543, 1582, 20820, 269, 3683, 942, 267, 891, 7368, 3646, 948, 1053, 11349, 27497, 543, 3929, 4987, 267, 799, 616, 4105, 3334, 540, 1134, 5630, 543, 1967, 538, 2221, 781, 6385, 4657, 1158, 780, 4089, 10001, 281, 20074, 623, 275, 290, 538, 6657, 692, 2080, 616, 930, 4052, 3268, 585, 10962, 623, 275, 290, 883, 707, 12416, 2069, 6437, 1384, 272, 269, 8564, 3617, 15128, 910, 7994, 5339, 5931, 267, 11247, 267, 8874, 267, 610, 1483, 3734, 7653, 602, 1459, 10578, 2055, 543, 5000, 8086, 563, 273, 269, 19372, 2666, 3652, 910, 22682, 5968, 6788, 3823, 2490, 23824, 267, 16614, 5188, 267, 543, 7722, 7589, 269, 7844, 891, 5615, 9846, 2429, 519, 1184, 563, 274, 269, 11120, 4106, 622, 10952, 28780, 910, 6651, 1053, 2509, 6998, 1930, 25804, 2055, 267, 3695, 2789, 5380, 267, 3246, 4128, 585, 6811, 267, 543, 10442, 7440, 269, 20644, 21934, 13783, 607, 2877, 1510, 25412, 2123, 12886, 563, 275, 269, 23340, 1558, 659, 4321, 4656, 910, 17115, 5401, 1053, 547, 2992, 593, 741, 1378, 3206, 3157, 543, 3356, 1500, 1282, 5717, 269, 901, 4356, 18791, 1582, 18221, 543, 25040, 6024, 6454, 563, 276, 269, 21414, 7145, 910, 18554, 2875, 6278, 267, 2708, 5578, 1646, 267, 543, 1151, 7228, 5955, 5781, 269, 17797, 2994, 9935, 1759, 593, 7422, 543, 18759, 780, 3528, 8508, 13898, 585, 5753, 607, 851, 540, 12416, 2069, 267, 596, 7668, 1053, 547, 1831, 2565, 17024, 267, 2500, 3868, 2209, 267, 543, 28450, 4961, 5827, 540, 10188, 938, 5051, 1950, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 320, 4760, 827, 12416, 538, 2069, 267, 3332, 543, 16222, 585, 1453, 543, 6107, 563, 24478, 633, 30765, 568, 519, 1152, 12649, 3318, 4760, 538, 519, 16231, 6243, 8720, 782, 2127, 540, 12416, 538, 2069, 912, 24478, 633, 30765, 729, 8547, 538, 476, 1960, 271, 269, 898, 568, 3370, 676, 715, 7709, 5308, 268, 11286, 24717, 538, 9316, 609, 519, 5948, 585, 11300, 30765, 543, 667, 4456, 308, 779, 4972, 540, 30765, 538, 4065, 563, 7374, 568, 3370, 1614, 2053, 513, 1032, 563, 7374, 568, 16922, 540, 1079, 1292, 6810, 5059, 593, 519, 1079, 8846, 538, 12416, 2069, 281, 30765, 5025, 4135, 268, 763, 11128, 543, 30765, 7232, 3027, 566, 269, 769, 519, 3296, 14506, 268, 18800, 268, 22033, 7131, 8039, 1007, 12326, 538, 519, 2361, 543, 2488, 3573, 909, 3562, 15082, 1344, 827, 519, 2361, 540, 1148, 6098, 585, 1453, 543, 10708, 267, 609, 606, 8561, 593, 12416, 543, 3332, 269, 769, 519, 3296, 14484, 687, 268, 3519, 32383, 268, 3519, 3667, 7131, 32245, 2565, 2090, 538, 519, 2489, 2361, 540, 3069, 267, 1686, 543, 2409, 540, 12416, 2069, 563, 7374, 849, 32245, 4930, 593, 1585, 8846, 538, 12416, 538, 2069, 538, 824, 5646, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4942, 3342, 4451, 585, 5753, 257, 607, 851, 540, 834, 3633, 24102, 1315, 9752, 1315, 23527, 1315, 8551, 1299, 28299, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 749, 661, 1091, 269, 14358, 3367, 22478, 7348, 1686, 269, 7726, 532, 4008, 543, 4638, 3961, 281, 25674, 6402, 936, 942, 269, 11557, 267, 6580, 267, 13730, 17052, 267, 543, 15832, 281, 2271, 1493, 9263, 1894, 1851, 24139, 267, 14447, 267, 543, 25251, 10708, 563, 31342, 543, 631, 269, 16723, 5623, 267, 4653, 267, 2367, 543, 2021, 2170, 538, 1875, 268, 668, 4842, 267, 11215, 2081, 538, 782, 2010, 540, 8658, 281, 960, 267, 5026, 267, 2069, 267, 543, 12348, 267, 2943, 891, 18787, 616, 711, 1759, 593, 4638, 15752, 269, 7726, 532, 4008, 543, 4638, 3961, 281, 25674, 6402, 936, 942, 563, 2005, 729, 1034, 2693, 14437, 827, 543, 5941, 593, 519, 10754, 540, 1715, 4826, 5112, 543, 3794, 864, 7345, 1310, 621, 7902, 593, 476, 1691, 4989, 744, 961, 754, 1157, 267, 661, 1091, 269, 717, 7568, 1115, 661, 1091, 563, 21953, 267, 594, 14593, 8885, 547, 1294, 519, 1434, 269, 634, 1382, 5267, 602, 8716, 18756, 1565, 3292, 1247, 4509, 1507, 267, 3309, 13460, 786, 2333, 17114, 540, 3444, 268, 15869, 17052, 1851, 1153, 1453, 269, 12726, 18567, 543, 25159, 4578, 593, 519, 1297, 540, 2043, 945, 4945, 539, 519, 3095, 547, 1376, 519, 5619, 855, 1705, 711, 2347, 941, 711, 2139, 547, 519, 1382, 2319, 563, 23382, 1456, 1198, 2450, 9193, 538, 13849, 20400, 609, 7368, 3800, 543, 4830, 3766, 12952, 6272, 563, 10712, 1564, 518, 661, 1091, 269, 25833, 10017, 267, 476, 4097, 267, 23893, 20967, 3347, 269, 769, 513, 1353, 676, 16199, 1846, 529, 543, 2441, 752, 529, 2073, 5171, 11855, 1514, 12503, 543, 3929, 13438, 607, 4128, 585, 4638, 16007, 16109, 538, 513, 3444, 20967, 11505, 269, 3509, 540, 873, 616, 11685, 531, 543, 2709, 606, 4244, 5075, 540, 519, 2186, 540, 2486, 2324, 1362, 3885, 1131, 899, 547, 723, 563, 23149, 3604, 538, 13112, 531, 7939, 9793, 12205, 1063, 3232, 1860, 543, 3232, 7008, 4205, 269, 0, 763, 667, 30470, 568, 513, 5691, 3684, 547, 2196, 15692, 3156, 269, 634, 667, 30470, 4291, 2373, 18243, 341, 1731, 31632, 13892, 267, 799, 568, 16432, 689, 3292, 2854, 538, 519, 10084, 1893, 269, 8074, 602, 519, 667, 30470, 568, 711, 513, 808, 30470, 269, 2290, 540, 519, 1883, 1374, 3741, 540, 519, 667, 30470, 568, 602, 621, 1058, 2196, 593, 1970, 3965, 5985, 3457, 543, 13907, 18334, 3379, 547, 1022, 808, 30470, 563, 1432, 568, 519, 946, 540, 667, 30470, 538, 15692, 888, 763, 18243, 341, 1731, 14044, 10724, 630, 291, 30470, 264, 568, 606, 543, 5514, 5691, 3684, 20979, 585, 5985, 3457, 269, 898, 5688, 3278, 519, 5691, 3684, 585, 3965, 267, 6007, 1272, 543, 2773, 563, 3963, 18243, 341, 1731, 966, 300, 568, 1031, 538, 15692, 888, 9336, 15692, 3498, 8255, 538, 922, 1378, 1184, 267, 609, 922, 1378, 3236, 540, 519, 18243, 341, 1731, 5691, 3684, 269, 18243, 341, 1731, 814, 1044, 2854, 865, 602, 513, 3926, 666, 2196, 2789, 966, 16039, 7561, 269, 634, 18243, 341, 1731, 966, 300, 4291, 2373, 6119, 538, 519, 18243, 341, 1731, 13079, 17014, 30285, 32609, 264, 3898, 799, 568, 5688, 2213, 585, 8766, 3965, 11640, 563, 9989, 15692, 1869, 946, 18243, 341, 1731, 888, 291, 531, 341, 1731, 568, 513, 19944, 4240, 1184, 5691, 3684, 630, 30470, 264, 538, 15692, 5665, 1062, 602, 4291, 2373, 3156, 2854, 585, 15692, 269, 630, 291, 531, 341, 1731, 31632, 13892, 3898, 568, 1869, 1031, 607, 513, 3892, 3898, 267, 855, 1100, 3476, 693, 678, 29025, 538, 18960, 15692, 8747, 8094, 3963, 798, 649, 946, 18243, 341, 1731, 5691, 3684, 3079, 540, 808, 30470, 538, 15692, 22456, 888, 3080, 540, 519, 1292, 4128, 540, 1210, 667, 30470, 538, 543, 5514, 568, 1317, 621, 5205, 519, 11578, 1759, 2203, 543, 621, 568, 1454, 5488, 982, 10518, 1759, 2203, 1247, 808, 30470, 5205, 519, 10518, 1759, 2203, 799, 3217, 513, 2603, 540, 3965, 543, 849, 14887, 982, 667, 30470, 563, 1432, 568, 3017, 1063, 667, 30470, 543, 808, 30470, 888, 297, 6072, 3009, 568, 16432, 3330, 519, 808, 30470, 547, 606, 10827, 776, 3898, 1572, 10084, 31632, 13892, 30285, 2560, 3973, 267, 519, 808, 30470, 16163, 525, 519, 4611, 10084, 31632, 13892, 543, 18922, 621, 547, 3684, 3009, 269, 2201, 606, 15692, 3926, 267, 519, 667, 30470, 735, 3796, 519, 10084, 3009, 547, 606, 13591, 3898, 1572, 10084, 31632, 13892, 30285, 1362, 3758, 264, 899, 519, 808, 30470, 563, 4692, 15692, 2196, 808, 30470, 888, 4407, 1034, 15692, 3156, 616, 2854, 538, 10084, 6438, 1893, 267, 972, 616, 930, 3604, 1063, 519, 10084, 16286, 543, 519, 15692, 16286, 267, 543, 15692, 1281, 711, 2196, 10084, 31632, 13892, 676, 513, 2757, 10084, 5691, 3684, 630, 297, 30470, 1070, 855, 3079, 676, 513, 18243, 341, 1731, 5691, 3684, 538, 4587, 8747, 540, 15692, 267, 543, 606, 15692, 681, 29025, 630, 11286, 264, 6693, 1432, 568, 519, 3017, 1063, 18243, 341, 1731, 543, 1148, 888, 763, 1034, 1713, 1689, 689, 18243, 341, 1731, 547, 26353, 568, 602, 18243, 341, 1731, 568, 1759, 593, 3807, 2987, 6874, 830, 630, 297, 3951, 264, 28094, 267, 1247, 26353, 568, 1759, 593, 589, 3650, 6361, 6874, 830, 630, 288, 5588, 264, 28094, 269, 2060, 519, 18243, 341, 1731, 808, 3951, 29085, 267, 1142, 942, 950, 519, 813, 568, 2196, 267, 621, 29858, 18922, 513, 851, 540, 519, 18243, 341, 1731, 31632, 13892, 883, 3684, 3009, 563, 1432, 568, 3017, 1063, 15692, 678, 29025, 543, 18243, 341, 1731, 5691, 3684, 888, 1103, 15692, 476, 275, 269, 275, 543, 1657, 4528, 267, 2059, 609, 18243, 341, 1731, 267, 5616, 5189, 513, 1007, 15692, 681, 29025, 1572, 968, 11286, 6100, 15692, 8924, 3898, 568, 1547, 3284, 330, 543, 782, 10084, 5049, 10736, 883, 667, 13052, 31632, 13892, 269, 2560, 2060, 18243, 341, 1731, 2073, 9617, 2987, 6874, 830, 630, 297, 3951, 264, 28094, 1169, 5384, 950, 813, 2196, 2073, 2005, 6460, 32609, 31632, 3009, 883, 3684, 3009, 543, 524, 3737, 563, 1432, 568, 519, 1292, 5057, 538, 15692, 888, 7072, 269, 1703, 616, 2185, 1292, 15692, 813, 3334, 281, 2238, 2073, 2533, 2073, 1543, 7426, 2073, 543, 13739, 2256, 1392, 1547, 24269, 596, 1711, 610, 946, 1022, 540, 873, 267, 596, 1590, 1331, 2609, 538, 519, 1788, 8915, 563, 1692, 798, 594, 6467, 689, 18243, 341, 1731, 547, 1148, 888, 3080, 666, 979, 547, 5468, 693, 23994, 3436, 3763, 518, 18169, 3436, 8564, 681, 29025, 543, 3442, 1063, 18243, 341, 1731, 543, 26353, 563, 1432, 8719, 18243, 341, 1731, 888, 4517, 5514, 681, 29025, 630, 11286, 264, 568, 606, 3498, 678, 29025, 1604, 1031, 676, 519, 15692, 5665, 1062, 269, 1234, 680, 5217, 18243, 341, 1731, 267, 519, 1184, 5691, 3684, 8385, 1031, 676, 15692, 267, 26353, 15824, 519, 8144, 540, 519, 3498, 779, 31632, 13892, 883, 5065, 5528, 602, 616, 2663, 13401, 676, 519, 3926, 779, 678, 29025, 1604, 563, 3674, 621, 2922, 547, 18419, 18243, 341, 1731, 21461, 888, 763, 18243, 341, 1731, 595, 5995, 568, 4625, 2922, 547, 26763, 269, 1411, 786, 1152, 1265, 713, 607, 606, 2139, 4781, 952, 596, 723, 8704, 595, 310, 300, 593, 707, 15692, 27620, 563, 1432, 616, 17103, 538, 15692, 888, 11328, 5865, 616, 513, 4015, 540, 21635, 267, 2409, 263, 629, 5724, 267, 11979, 267, 543, 9949, 1070, 543, 29005, 2010, 269, 2353, 519, 2409, 540, 519, 8818, 991, 547, 581, 3989, 538, 519, 1362, 269, 2560, 1924, 10416, 538, 543, 5514, 267, 972, 616, 1079, 2010, 540, 17103, 649, 666, 1711, 543, 649, 946, 4749, 563, 3963, 15692, 2052, 2254, 2196, 10084, 31632, 13892, 888, 2171, 3112, 2196, 10084, 1635, 974, 13892, 593, 15692, 1317, 281, 15692, 3096, 18243, 341, 1731, 966, 300, 17635, 23709, 3684, 264, 3079, 540, 10084, 966, 300, 269, 1677, 2196, 513, 10084, 1635, 974, 13892, 596, 991, 808, 30470, 263, 10084, 14044, 10724, 1040, 10084, 538, 5904, 543, 15692, 3096, 513, 5094, 1604, 547, 2196, 741, 3009, 563, 1432, 568, 681, 10084, 538, 15692, 1548, 1281, 621, 2270, 888, 4517, 5514, 681, 269, 28162, 568, 606, 10081, 24378, 3758, 676, 513, 2194, 630, 4517, 5514, 2667, 564, 13268, 1645, 15484, 264, 602, 3568, 4199, 9517, 338, 585, 782, 519, 2200, 540, 759, 270, 15682, 269, 1403, 596, 1711, 1022, 5057, 538, 519, 2534, 8548, 664, 269, 1535, 6447, 3758, 267, 7329, 585, 519, 7222, 5057, 568, 8850, 2813, 538, 713, 3758, 269, 0, 763, 4432, 15281, 25123, 4149, 4822, 744, 12965, 566, 630, 2894, 12569, 264, 5540, 519, 7708, 1842, 335, 8879, 9830, 540, 1082, 10250, 9362, 269, 3371, 649, 8495, 519, 661, 10064, 302, 3310, 593, 16035, 9830, 6027, 538, 519, 5580, 7708, 1842, 335, 1877, 1282, 6406, 589, 7878, 585, 519, 8617, 27148, 540, 519, 5790, 9122, 593, 606, 19639, 7757, 29597, 518, 19426, 543, 693, 2666, 693, 15729, 8672, 267, 3162, 4000, 267, 543, 631, 864, 10361, 267, 8581, 269, 22358, 9830, 3444, 2275, 528, 7758, 622, 609, 8828, 744, 12965, 566, 12039, 630, 12569, 296, 264, 609, 513, 18848, 540, 476, 279, 22144, 273, 3000, 2195, 269, 11612, 4554, 16035, 9830, 616, 2141, 1336, 693, 519, 1034, 2942, 14298, 296, 2418, 267, 1775, 4318, 1421, 476, 279, 3000, 2195, 1310, 4432, 15281, 25123, 267, 543, 519, 17931, 540, 519, 954, 2335, 783, 7648, 11385, 919, 1063, 9625, 276, 543, 476, 1240, 10065, 634, 942, 18848, 568, 2147, 547, 602, 540, 2910, 4171, 954, 2335, 783, 7648, 616, 9141, 7361, 676, 5434, 689, 13947, 8781, 630, 17668, 1040, 634, 17931, 540, 519, 954, 2335, 783, 13260, 540, 7708, 1842, 335, 8879, 16035, 9830, 568, 5812, 609, 519, 6059, 7648, 538, 16035, 5434, 689, 29851, 269, 1284, 3976, 9959, 602, 29851, 568, 513, 2101, 3815, 6117, 519, 954, 2335, 783, 8390, 540, 7708, 1842, 335, 8879, 16035, 9830, 563, 268, 13947, 8781, 0, 2041, 4712, 547, 4339, 5046, 268, 866, 7536, 268, 2136, 8315, 454, 338, 29195, 267, 3251, 1753, 7536, 288, 5265, 19034, 9633, 666, 1683, 930, 3773, 4027, 936, 513, 14605, 17501, 9633, 585, 1312, 519, 649, 13145, 543, 824, 1004, 269, 634, 3119, 8247, 540, 9633, 946, 568, 547, 16401, 519, 3262, 540, 3644, 689, 519, 649, 13145, 547, 824, 1004, 269, 5221, 5046, 268, 866, 666, 581, 3262, 676, 1004, 945, 4159, 8984, 2589, 543, 676, 1346, 945, 798, 711, 8858, 1022, 2589, 267, 3376, 9633, 946, 568, 9415, 547, 7413, 519, 3262, 689, 1346, 945, 616, 7210, 630, 528, 5732, 7210, 264, 547, 1866, 563, 763, 9633, 267, 952, 12816, 5265, 543, 9846, 267, 849, 2337, 2149, 2635, 1004, 689, 20414, 519, 2068, 950, 789, 616, 538, 2673, 16133, 547, 1004, 945, 616, 7210, 269, 898, 949, 849, 1683, 4027, 547, 519, 649, 13145, 689, 20851, 11169, 602, 6414, 538, 14605, 5887, 23624, 5054, 267, 971, 607, 606, 30981, 563, 22033, 827, 875, 1279, 3644, 21307, 11538, 20256, 666, 6414, 538, 519, 2011, 568, 1373, 8242, 5781, 269, 2368, 1382, 5267, 602, 20256, 666, 2611, 23197, 585, 2789, 3108, 269, 1924, 798, 707, 851, 547, 2149, 3054, 543, 1866, 676, 9849, 1134, 1922, 9231, 267, 8825, 13968, 563, 763, 2241, 2626, 568, 12971, 269, 654, 8960, 513, 9633, 267, 538, 851, 267, 568, 5921, 547, 2149, 707, 7929, 1062, 630, 20365, 9641, 267, 11563, 267, 543, 5609, 4926, 264, 689, 1463, 4598, 547, 23197, 20256, 543, 5536, 602, 949, 2270, 519, 3644, 563, 2414, 798, 713, 267, 835, 1590, 2149, 519, 3119, 7127, 2798, 547, 707, 9641, 543, 11563, 1765, 20365, 9224, 543, 5023, 269, 4475, 267, 6028, 707, 9224, 6534, 786, 1683, 606, 2653, 13374, 585, 23197, 5536, 547, 4283, 707, 1062, 630, 2421, 11375, 2718, 998, 707, 9224, 264, 610, 585, 20256, 547, 14827, 707, 1062, 630, 2421, 17938, 2718, 267, 32125, 267, 3092, 13776, 5732, 1439, 836, 1359, 1346, 1472, 596, 563, 27028, 5193, 569, 269, 4634, 609, 513, 9633, 267, 596, 1058, 1869, 1118, 1169, 4674, 547, 3251, 693, 2547, 476, 277, 3952, 2476, 689, 1004, 945, 1810, 1406, 2661, 609, 596, 269, 631, 27965, 568, 1152, 835, 4494, 540, 4027, 267, 543, 621, 779, 606, 20541, 835, 269, 4317, 26865, 3884, 1406, 18174, 16513, 267, 2901, 267, 855, 519, 811, 6106, 540, 4027, 596, 666, 2308, 267, 519, 10930, 596, 3580, 1118, 3054, 543, 3025, 3116, 1472, 596, 563, 25387, 267, 972, 616, 1631, 811, 982, 476, 12010, 1857, 12674, 4609, 2066, 13325, 267, 1519, 2199, 10506, 267, 7966, 9313, 543, 10315, 1072, 13623, 269, 1280, 948, 1818, 606, 13393, 267, 1289, 519, 1533, 28404, 2561, 2002, 618 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1575, 3436, 8939, 9823, 5665, 3148, 3436, 18224, 3436, 3148, 563, 1692, 798, 596, 1689, 519, 12939, 6453, 540, 513, 17018, 325, 564, 888, 4263, 5547, 1377, 267, 519, 12939, 6453, 666, 581, 4389, 676, 2810, 519, 1761, 540, 519, 8756, 585, 519, 1482, 10766, 21299, 6453, 269, 1306, 519, 8756, 1761, 568, 519, 1267, 540, 519, 10766, 267, 2707, 267, 8963, 543, 13557, 270, 7853, 630, 3724, 3766, 622, 264, 1761, 267, 4730, 609, 519, 8545, 1614, 666, 3927, 7369, 519, 12939, 6453, 563, 1432, 568, 5921, 676, 12939, 6453, 888, 763, 12939, 6453, 267, 4122, 28484, 607, 966, 628, 267, 540, 513, 2361, 13716, 24923, 630, 293, 4953, 264, 568, 519, 5934, 10766, 3562, 21299, 6453, 966, 14899, 630, 628, 264, 602, 568, 2877, 547, 1711, 513, 10647, 2619, 1063, 519, 2707, 543, 8963, 23525, 563, 1432, 568, 519, 12939, 1871, 888, 314, 12664, 628, 3306, 587, 504, 327, 16230, 671, 722, 504, 1998, 6440, 344, 6686, 316, 630, 26367, 2257, 264, 589, 1448, 3564, 799, 972, 568, 513, 1689, 538, 519, 6073, 513, 1982, 4291, 2373, 282, 538, 1880, 267, 606, 5470, 2557, 1657, 799, 519, 5665, 1062, 695, 7491, 1524, 519, 2780, 1062, 593, 519, 13429, 602, 513, 8800, 5821, 814, 7018, 269, 630, 31553, 1949, 994, 8489, 568, 17018, 325, 564, 1031, 888, 20175, 631, 5308, 293, 4953, 338, 616, 4122, 1031, 538, 16669, 11418, 267, 3226, 607, 15175, 3457, 538, 5907, 1852, 4559, 267, 543, 607, 1379, 4780, 1562, 538, 2413, 3167, 6472, 269, 634, 1202, 4327, 3766, 622, 17299, 24923, 630, 5456, 6630, 1070, 513, 10316, 631, 5308, 1532, 13633, 24923, 267, 568, 849, 1031, 585, 513, 2647, 3099, 540, 3156, 563, 1692, 798, 596, 2268, 12939, 6453, 888, 278, 269, 275, 269, 774, 11611, 6453, 278, 269, 275, 269, 774, 11611, 6453, 9819, 269, 634, 12939, 6453, 11224, 519, 2040, 540, 519, 6366, 7171, 6453, 267, 7466, 519, 13557, 1761, 543, 519, 6453, 2066, 519, 12547, 1813, 547, 519, 22930, 4494, 5279, 267, 610, 281, 2560, 476, 278, 269, 275, 269, 634, 14041, 9186, 1198, 563, 1692, 798, 596, 1265, 519, 9823, 5665, 1448, 540, 513, 20017, 775, 888, 12812, 519, 5295, 288, 5404, 28176, 3090, 538, 519, 5084, 306, 2480, 11490, 6885, 269, 7994, 25674, 29791, 3436, 1323, 2254, 622, 3436, 1323, 2254, 622, 21952, 18745, 547, 29120, 8426, 1613, 269, 901, 10525, 519, 9823, 5665, 1448, 2418, 585, 1142, 5057, 593, 519, 27974, 775, 28176, 563, 1432, 568, 519, 3090, 540, 17018, 325, 564, 888, 763, 1899, 538, 519, 631, 5308, 293, 4953, 3090, 1063, 519, 8963, 630, 291, 264, 543, 2707, 630, 306, 264, 4296, 4564, 519, 27820, 15373, 633, 8756, 269, 1403, 713, 8756, 1899, 568, 513, 4396, 796, 15842, 5287, 1899, 1287, 621, 4564, 513, 968, 12831, 2280, 542, 892, 630, 17884, 958, 268, 2177, 264, 1826, 631, 5308, 293, 4953, 607, 8963, 1699, 666, 2095, 609, 4642, 10766, 1979, 2084, 1761, 563, 3963, 1281, 12939, 6453, 6175, 609, 2837, 888, 24746, 6630, 16281, 2464, 295, 5357, 291, 700, 12788, 298, 17803, 595, 7838, 305, 7728, 1306, 2837, 14380, 267, 519, 12939, 6453, 11081, 543, 519, 1016, 628, 11611, 24694, 1699, 4679, 28354, 609, 2333, 538, 2837, 269, 1924, 713, 24694, 3587, 513, 4049, 1966, 538, 519, 2013, 540, 3457, 5665, 693, 1164, 5210, 563, 1692, 1281, 17018, 325, 564, 2569, 1560, 1198, 888, 763, 1560, 1198, 568, 519, 12939, 6453, 8390, 1813, 547, 519, 13557, 4882, 1830, 6453, 269, 1677, 22599, 519, 1560, 1198, 596, 991, 547, 17063, 1312, 590, 543, 645, 547, 519, 1482, 1761, 563, 1432, 2188, 1860, 12939, 6453, 888, 763, 1871, 540, 519, 12939, 6453, 568, 8200, 689, 930, 2168, 6724, 799, 21656, 519, 631, 5308, 293, 4953, 2497, 971, 607, 281, 519, 10766, 1570, 267, 519, 11098, 540, 12547, 4494, 5233, 267, 14041, 546, 14563, 9830, 630, 323, 3748, 264, 19364, 267, 12547, 1107, 5793, 2183, 6378, 5279, 9830, 630, 323, 3748, 264, 715, 2135, 267, 8756, 3259, 700, 267, 8756, 8700, 654, 6693, 1692, 798, 594, 5173, 4187, 888, 2252, 596, 917, 519, 2698, 1699, 543, 519, 6453, 2066, 519, 2898, 5547, 267, 596, 666, 1265, 519, 2698, 4187, 1210, 7937, 332, 779, 4521, 281, 681, 815, 966, 1315, 594, 269, 1280, 1383, 267, 513, 6252, 5547, 814, 513, 6453, 540, 476, 280, 24311, 543, 2698, 1699, 540, 476, 274, 993, 1186, 269, 634, 2698, 4187, 21512, 815, 476, 280, 24311, 1315, 476, 274, 993, 1186, 815, 476, 274, 3852, 358, 563, 9989, 513, 26534, 723, 4187, 888, 9617, 899, 513, 19919, 610, 1022, 824, 4452, 538, 513, 5547, 267, 513, 26534, 3091, 4187, 538, 513, 5547, 269, 9521, 27856, 267, 1498, 267, 1019, 3941, 616, 711, 5276, 3457, 269, 901, 1797, 602, 519, 4187, 540, 1019, 3941, 1281, 711, 4268, 2047, 543, 14354, 547, 519, 2179, 540, 6453, 543, 1699, 4294, 547, 873, 269, 898, 2242, 1612, 21966, 1227, 269, 0, 19859, 338, 520, 22972, 16132, 568, 9833, 607, 835, 540, 519, 4307, 8040, 540, 26843, 5027, 25314, 2255, 7816, 543, 267, 18867, 267, 607, 513, 15262, 540, 1164, 1981, 585, 2860, 269, 6736, 3875, 2090, 267, 519, 4080, 3928, 585, 2318, 31442, 520, 22972, 16132, 8428, 4922, 538, 1142, 1480, 30279, 3599, 269, 1452, 27753, 949, 9305, 547, 2042, 538, 519, 2409, 1031, 269, 1677, 3715, 513, 12191, 585, 606, 4977, 31442, 520, 22972, 16132, 2079, 267, 2930, 4170, 585, 513, 5730, 22368, 543, 6211, 2175, 2838, 585, 2318, 31442, 520, 22972, 16132, 941, 5941, 269, 3689, 267, 547, 4766, 31442, 520, 22972, 2242, 538, 1469, 267, 513, 6213, 7020, 1062, 609, 5276, 7020, 4162, 543, 32661, 2803, 529, 609, 3044, 2213, 9194, 543, 6922, 2213, 9194, 6959, 616, 2808, 547, 581, 2556, 269, 4475, 267, 1949, 1210, 24638, 2978, 2454, 543, 8955, 17655, 616, 5227, 269, 1280, 10063, 24862, 29920, 5832, 6547, 267, 621, 568, 1898, 547, 1852, 519, 12363, 632, 2135, 2106, 16197, 582, 573, 2643, 4483, 848, 2534, 538, 19248, 336, 29920, 269, 5822, 267, 607, 513, 6211, 2783, 585, 2318, 31442, 520, 22972, 16132, 267, 15164, 5542, 543, 4999, 540, 31442, 520, 22972, 12508, 267, 13592, 538, 1808, 5027, 25314, 2255, 7816, 6090, 543, 6228, 540, 1395, 16438, 4689, 5095, 23353, 18481, 538, 513, 3732, 616, 1898, 269, 7053, 267, 835, 2009, 10368, 21205, 585, 2318, 31442, 520, 22972, 16132, 568, 6069, 267, 602, 568, 519, 6228, 540, 835, 540, 519, 3270, 3254, 538, 519, 8470, 630, 5408, 8431, 269, 476, 277, 264, 693, 835, 610, 811, 1327, 328, 538, 513, 1305, 540, 811, 982, 2947, 31442, 520, 22972, 12508, 269, 14645, 630, 290, 264, 476, 1220, 272, 29021, 3163, 645, 17679, 563, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 17449, 10334, 0, 20776, 3272, 12191, 568, 834, 1492, 1353, 540, 5619, 2409, 2668, 1284, 2253, 609, 606, 7650, 540, 5619, 1382, 267, 1519, 922, 2560, 5269, 2386, 707, 2055, 3382, 519, 1888, 596, 616, 12570, 267, 543, 2057, 519, 25354, 5941, 538, 519, 1433, 543, 538, 1362, 269, 7151, 2560, 4855, 856, 799, 1826, 540, 5619, 568, 1655, 585, 707, 1382, 269, 3194, 1160, 27760, 7151, 476, 273, 630, 291, 8016, 267, 476, 271, 269, 280, 11586, 264, 3194, 1160, 27760, 7151, 476, 274, 630, 291, 8016, 267, 476, 4649, 269, 276, 330, 289, 264, 3194, 1160, 27760, 7151, 476, 275, 630, 291, 8016, 267, 476, 5392, 269, 276, 330, 289, 264, 5269, 519, 2009, 4755, 269, 3689, 543, 19466, 568, 519, 17545, 540, 5619, 2409, 269, 769, 519, 2228, 5619, 1158, 267, 2560, 634, 11752, 3194, 5071, 568, 2500, 267, 10464, 543, 2653, 547, 2932, 269, 28941, 543, 6703, 1215, 547, 1265, 721, 2560, 24028, 903, 630, 288, 774, 3518, 333, 841, 4985, 264, 968, 589, 1826, 540, 1382, 547, 2445, 519, 1239, 543, 5013, 536, 719, 930, 1978, 3510, 610, 3390, 689, 519, 3077, 2551, 4540, 538, 10450, 2348, 10083, 547, 519, 2470, 540, 1353, 1848, 968, 11752, 1382, 568, 519, 1382, 2560, 1403, 2560, 6206, 6875, 12537, 11752, 1382, 568, 1419, 1031, 676, 1382, 2507, 589, 3444, 22891, 5619, 1382, 1374, 729, 2808, 3617, 538, 4974, 2591, 6849, 7658, 1922, 8787, 538, 552, 27360, 7566, 540, 2533, 538, 25157, 630, 302, 342, 839, 267, 476, 1220, 273, 1040, 24028, 903, 616, 519, 1034, 4122, 1031, 1907, 538, 25349, 1382, 269, 6733, 693, 519, 2442, 5619, 2409, 543, 1569, 476, 12573, 266, 1863, 5619, 17074, 269, 667, 2570, 762, 281, 634, 1239, 596, 5531, 689, 12220, 568, 4096, 762, 1317, 621, 568, 2356, 4977, 267, 543, 922, 6111, 568, 1813, 547, 519, 1249, 602, 519, 17013, 547, 519, 5619, 2560, 1411, 1590, 2015, 513, 5619, 781, 1826, 267, 12191, 267, 543, 4070, 547, 2327, 1967, 269, 634, 5619, 9072, 616, 14078, 609, 3854, 267, 7418, 267, 610, 7482, 630, 1877, 2088, 1123, 15217, 5219, 547, 607, 968, 5115, 1388, 14615, 540, 476, 1015, 2929, 586, 523, 610, 936, 630, 2102, 1968, 11450, 3549, 267, 3908, 2560, 11752, 3194, 11314, 476, 272, 281, 3619, 593, 519, 4950, 543, 1491, 606, 2228, 18102, 827, 513, 1888, 602, 4690, 596, 269, 476, 274, 3040, 589, 9836, 2560, 11752, 1382, 2560, 1403, 596, 991, 948, 1603, 707, 7084, 267, 5225, 946, 938, 1382, 1957, 1603, 3028, 543, 4444, 513, 1957, 593, 2560, 11752, 3194, 5071, 476, 272, 269, 3807, 4328, 519, 946, 540, 11752, 9122, 7726, 32666, 24028, 903, 616, 2808, 519, 1034, 2757, 3029, 540, 10647, 1382, 543, 3730, 538, 1875, 7721, 704, 14939, 10855, 6272, 602, 1413, 547, 4766, 930, 4990, 540, 4641, 269, 1280, 1383, 267, 513, 5619, 593, 1453, 781, 2038, 1646, 602, 568, 13950, 547, 3237, 1058, 2307, 2055, 602, 616, 1808, 547, 741, 1453, 538, 519, 4098, 610, 2282, 519, 4098, 540, 519, 5619, 269, 11752, 1382, 589, 11050, 1382, 2560, 634, 1353, 676, 700, 518, 1676, 543, 1200, 9164, 568, 606, 1383, 540, 5619, 1382, 538, 6530, 9789, 1888, 540, 713, 3184, 269, 9578, 267, 676, 3168, 998, 606, 1383, 540, 513, 5619, 267, 596, 3580, 1205, 513, 2631, 585, 519, 2243, 2010, 596, 666, 946, 267, 875, 596, 666, 1931, 519, 2055, 267, 543, 519, 2081, 596, 666, 4019, 5619, 2560, 634, 8112, 540, 5619, 1382, 568, 849, 1883, 547, 621, 1373, 3573, 543, 20522, 269, 11752, 1382, 5170, 547, 581, 1271, 538, 6530, 2221, 269, 1306, 513, 2361, 540, 4294, 7194, 23622, 593, 1480, 3146, 14142, 12220, 267, 5619, 12191, 2090, 519, 10386, 540, 1367, 4559, 689, 513, 2551, 543, 2404, 2553, 540, 5619, 1239, 4015, 267, 971, 607, 18102, 4070, 543, 2409, 585, 5355, 519, 1297, 543, 6111, 540, 6114, 547, 12220, 269, 901, 11752, 3194, 4828, 1383, 568, 3370, 585, 3872, 543, 21141, 5301, 1152, 269, 10812, 519, 1585, 2010, 540, 12220, 543, 1413, 693, 1806, 540, 519, 1114, 2010, 540, 5619, 1382, 269, 3399, 4974, 3848, 476, 278, 281, 11752, 3194, 269, 11310, 12476, 2854, 2560, 1411, 949, 1265, 519, 5619, 2560, 5131, 12726, 16707, 910, 6355, 2344, 1382, 5022, 268, 910, 11752, 910, 21436, 7726, 32666, 269, 2237, 519, 3382, 4484, 609, 707, 2754, 12220, 267, 7474, 786, 6952, 606, 6075, 3007, 269, 1411, 666, 2932, 12220, 2228, 267, 676, 13875, 267, 610, 538, 1268, 269, 4578, 14635, 13281, 19461, 5071, 26395, 312, 281, 7033, 564, 29058, 513, 5403, 531, 11752, 281, 7151, 2560, 11154, 539, 689, 281, 700, 1515, 323, 267, 681, 269, 543, 13983, 2314, 267, 918, 269, 630, 1220, 271, 1070, 13229, 3194, 585, 21362, 1229, 4317, 8092, 331, 3581, 267, 5507, 281, 634, 24184, 15278, 269, 17677, 1532, 19128, 1194, 2055, 267, 799, 2307, 1079, 2055, 538, 835, 267, 1058, 2760, 581, 1031, 538, 513, 5619, 269, 16237, 2195, 540, 5619, 2409, 12824, 14139, 5619, 2560, 11752, 2560, 3353, 1227, 267, 513, 5619, 2560, 9736, 1001, 280, 834, 8138, 2466, 2659, 12143, 2668, 901, 1797, 602, 1100, 824, 4632, 689, 1776, 942, 568, 4143, 610, 2877, 538, 713, 5619, 2507, 4804, 20505, 16294, 1018, 5619, 1382, 568, 267, 1519, 922, 1079, 1271, 4162, 269, 476, 273, 9537, 540, 12726, 11752, 5999, 585, 2659, 3194, 7433, 901, 2022, 568, 2966, 547, 1683, 596, 609, 3732, 5619, 2055, 269, 11752, 1382, 3096, 513, 1592, 540, 2055, 547, 2445, 1239, 827, 513, 1895, 540, 1004, 269, 4107, 1382, 666, 581, 5258, 883, 1614, 1114, 6688, 281, 30405, 267, 10855, 543, 21465, 269, 15257, 910, 7078, 540, 11752, 3194, 729, 1101, 11540, 593, 5412, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 7045, 267, 2141, 11235, 547, 2263, 1007, 10366, 543, 8286, 269, 2290, 1554, 267, 789, 4956, 547, 7832, 593, 513, 11477, 3460, 998, 667, 6686, 338, 572, 671, 21807, 781, 2189, 26265, 543, 28916, 780, 2304, 3534, 729, 513, 8049, 543, 27093, 8004, 945, 6068, 3843, 1007, 1919, 269, 2701, 1185, 513, 1880, 23816, 1145, 585, 4376, 6653, 543, 7948, 1405, 7227, 547, 6492, 519, 4583, 667, 6686, 338, 572, 671, 528, 2536, 29535, 9313, 780, 299, 4157, 553, 267, 593, 519, 824, 1688, 267, 729, 811, 18762, 543, 11603, 269, 1261, 9053, 23578, 547, 1018, 646, 6785, 543, 17329, 267, 855, 646, 849, 10150, 7836, 942, 609, 1010, 2828, 543, 4687, 2833, 609, 873, 780, 306, 2684, 773, 729, 513, 2186, 543, 17519, 1268, 945, 5156, 538, 8156, 3025, 9425, 543, 609, 2463, 269, 2701, 12595, 2245, 543, 13597, 543, 12479, 547, 1451, 811, 827, 667, 6686, 338, 572, 671, 21807, 781, 2528, 543, 1686, 998, 922, 1426, 780, 16655, 729, 513, 3765, 2151, 31773, 1915, 945, 6068, 4730, 929, 3471, 543, 1818, 1004, 14902, 269, 1717, 267, 3006, 1010, 24668, 4682, 1932, 2484, 267, 4929, 10413, 4606, 543, 21390, 780, 19853, 1101, 3247, 729, 513, 2199, 29221, 2044, 602, 7463, 538, 667, 6686, 338, 572, 671, 528, 2536, 7354, 325, 15543, 1962, 22760, 269, 1306, 789, 9411, 519, 18241, 6300, 267, 519, 24710, 540, 28448, 19323, 3694, 543, 25970, 28401, 4904, 519, 2011, 269, 17555, 781, 4064, 11097, 2989, 609, 10761, 607, 1352, 4718, 519, 30861, 21100, 540, 887, 770, 14132, 10268, 538, 519, 6885, 780, 257, 32452, 267, 713, 5654, 5863, 10590, 1352, 608, 13094, 267, 1178, 25290, 513, 6676, 543, 4543, 9887, 547, 513, 21464, 7674, 780, 299, 4157, 553, 11688, 18469, 267, 18516, 952, 646, 1131, 2972, 519, 8966, 4999, 540, 6653, 543, 29902, 10366, 269, 1809, 7487, 1010, 2828, 262, 15131, 267, 646, 4956, 547, 2285, 621, 513, 2119, 780, 2026, 789, 2893, 1524, 547, 2972, 741, 7594, 267, 20153, 773, 8068, 513, 1129, 1657, 519, 4831, 602, 1224, 834, 293, 1515, 11780, 8307, 1701, 30985, 267, 1352, 4280, 519, 536, 6033, 827, 621, 780, 3891, 6045, 602, 1210, 4023, 4123, 5820, 5921, 5885, 1507, 6705, 543, 4180, 789, 4607, 513, 4023, 3902, 585, 741, 2472, 269, 901, 6949, 730, 609, 20153, 773, 267, 945, 15874, 519, 5683, 1935, 547, 1870, 780, 19602, 267, 7665, 19481, 513, 15808, 2407, 540, 10477, 30660, 5627, 519, 25337, 667, 6686, 338, 572, 671, 528, 2536, 918, 4068, 335, 1080, 577, 269, 1133, 762, 547, 5706, 267, 646, 10544, 5523, 835, 543, 3323, 26311, 15833, 585, 5128, 543, 1010, 2828, 780, 4263, 1101, 267, 3025, 561, 13774, 1117, 543, 1750, 1229, 267, 11981, 519, 2178, 2943, 24253, 6492, 540, 519, 16909, 561, 1664, 584, 269, 1717, 267, 4166, 2614, 267, 7665, 3459, 547, 957, 22672, 8393, 267, 8716, 1010, 2828, 547, 4235, 811, 982, 789, 1223, 6023, 780, 8450, 532, 1200, 3659, 9561, 1852, 267, 20153, 773, 18060, 539, 269, 834, 16655, 267, 594, 1589, 596, 4312, 1185, 2614, 269, 1284, 1869, 723, 1614, 811, 4025, 547, 3643, 267, 543, 594, 1810, 1405, 1616, 4896, 3478, 7210, 610, 4743, 3983, 2437, 1352, 1767, 16119, 855, 9900, 780, 16655, 1989, 14217, 855, 5555, 8815, 267, 16734, 602, 646, 1185, 18084, 513, 1899, 269, 3571, 791, 6160, 4369, 1185, 3592, 8297, 1441, 741, 1554, 267, 543, 646, 5433, 18507, 585, 20153, 773, 781, 6304, 780, 30342, 5368, 341, 580, 528, 730, 267, 519, 1895, 4797, 741, 11477, 4663, 267, 512, 8463, 519, 8949, 681, 1774, 6182, 6686, 339, 2763, 267, 667, 6686, 338, 572, 671, 528, 2536, 7442, 325, 601, 330, 1075, 1156, 267, 543, 667, 6686, 338, 572, 671, 21807, 853, 18543, 269, 3962, 1747, 6035, 513, 1114, 5790, 543, 1995, 267, 3850, 873, 547, 5660, 519, 4763, 543, 5876, 540, 667, 6686, 338, 572, 671, 21807, 781, 1476, 1254, 619, 780, 7661, 267, 789, 6603, 513, 23406, 9174, 3046, 676, 519, 10910, 710, 5211, 267, 1141, 789, 18656, 3022, 538, 14296, 540, 5347, 667, 6686, 338, 572, 671, 528, 2536, 28039, 514, 4565, 583, 269, 654, 10248, 519, 23863, 936, 519, 1216, 267, 789, 10630, 593, 741, 1554, 543, 519, 1585, 13341, 789, 1185, 4810, 780, 9961, 741, 3460, 267, 789, 4362, 711, 1152, 519, 17175, 16919, 540, 667, 6686, 338, 572, 671, 21807, 781, 2189, 26265, 543, 28916, 855, 849, 3407, 1272, 4245, 269, 17555, 4121, 547, 581, 1930, 16490, 543, 9784, 1007, 2591, 267, 1247, 700, 4157, 553, 6591, 6015, 538, 3695, 14542, 11182, 269, 20153, 773, 18674, 1200, 3661, 538, 14619, 543, 8699, 267, 543, 7665, 7691, 519, 2956, 540, 1582, 20820, 543, 6236, 1866, 262, 8171, 780, 1103, 519, 1439, 267, 741, 3838, 9035, 4547, 873, 6251, 1927, 267, 14304, 741, 6125, 607, 2828, 543, 2870, 8823, 789, 1131, 10027, 880, 11014, 269, 1656, 8164, 789, 2219, 1394, 593, 741, 11477, 15413, 1228, 267, 789, 1131, 3314, 519, 7772, 540, 6602, 267, 519, 1871, 540, 6568, 267, 543, 519, 12257, 540, 1434, 2754, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 6701, 972, 1022, 2442, 26265, 610, 28916, 2189, 547, 667, 6686, 338, 572, 671, 21807, 781, 11951, 888, 8133, 267, 972, 616, 1896, 2442, 26265, 543, 28916, 2189, 547, 667, 6686, 338, 572, 671, 21807, 781, 11951, 1384, 272, 269, 667, 6686, 338, 572, 671, 528, 2536, 7354, 325, 15543, 1962, 22760, 910, 513, 29902, 8670, 540, 28777, 14132, 609, 513, 28401, 14036, 692, 273, 269, 681, 1774, 6182, 6686, 339, 2763, 910, 513, 6653, 10874, 787, 30077, 532, 602, 568, 1419, 6039, 609, 29877, 14036, 610, 627, 5792, 8645, 692, 274, 269, 667, 6686, 338, 572, 671, 528, 2536, 7442, 325, 601, 330, 1075, 1156, 910, 513, 2757, 11945, 14735, 1500, 609, 513, 855, 6670, 12933, 543, 6266, 540, 24036, 543, 4006, 692, 275, 269, 667, 6686, 338, 572, 671, 21807, 853, 18543, 910, 513, 3638, 267, 10053, 4829, 322, 820, 1500, 609, 986, 529, 1231, 267, 10808, 267, 543, 14546, 692, 276, 269, 667, 6686, 338, 572, 671, 528, 2536, 28039, 514, 4565, 583, 910, 513, 1826, 540, 2699, 9174, 689, 519, 3148, 602, 568, 1419, 6039, 607, 606, 1310, 1673, 27903, 4235, 780, 277, 269, 667, 6686, 338, 572, 671, 528, 2536, 918, 4068, 335, 1080, 577, 910, 513, 1826, 540, 16909, 561, 1664, 584, 602, 568, 1419, 6039, 607, 513, 9667, 1310, 513, 7594, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 476, 278, 281, 2806, 1872, 573, 553, 910, 634, 24296, 2426, 32445, 540, 5675, 7010, 692, 1103, 938, 3408, 540, 1585, 1603, 1949, 1472, 519, 1158, 267, 649, 723, 11402, 2845, 4919, 20072, 971, 607, 4457, 3197, 543, 11382, 629, 545, 1949, 899, 31180, 269, 1717, 267, 1776, 1713, 7121, 540, 1603, 1949, 814, 7283, 5266, 7164, 910, 705, 1872, 573, 553, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 891, 4241, 543, 1898, 3334, 540, 1480, 2792, 780, 2414, 2253, 267, 1577, 781, 11291, 519, 1523, 540, 2634, 29010, 5189, 4505, 538, 519, 1257, 269, 11020, 29010, 4016, 547, 519, 7415, 2702, 540, 519, 1480, 2634, 547, 3082, 543, 1689, 2429, 835, 781, 1272, 267, 3226, 950, 1565, 1007, 1983, 971, 607, 2542, 269, 1879, 7234, 1114, 1603, 1949, 267, 1620, 875, 938, 12058, 1184, 873, 666, 8774, 1769, 593, 741, 2189, 4162, 543, 2591, 269, 2290, 10578, 2460, 540, 2634, 29010, 6013, 538, 519, 1249, 602, 3425, 941, 711, 4535, 609, 7463, 834, 15105, 7740, 1701, 5502, 267, 649, 7048, 593, 1065, 584, 19397, 4540, 8849, 5547, 787, 547, 5431, 543, 1232, 1712, 1585, 1603, 1949, 269, 1280, 3236, 267, 1082, 2043, 8415, 3308, 4393, 2127, 540, 519, 2634, 547, 2697, 2854, 1913, 269, 3767, 602, 596, 2811, 5432, 609, 713, 4282, 1344, 267, 649, 666, 8399, 547, 2263, 705, 1872, 573, 553, 780, 763, 2165, 1412, 629, 1872, 5866, 262, 949, 3280, 16678, 282, 2705, 267, 596, 1522, 581, 811, 31235, 609, 621, 982, 596, 8275, 269, 2368, 5640, 3277, 547, 705, 1872, 573, 553, 607, 620, 3508, 22690, 629, 2456, 1813, 547, 741, 10316, 2470, 910, 9256, 2934, 540, 1312, 21229, 12185, 543, 11382, 629, 545, 1949, 269, 1677, 1732, 10146, 705, 1872, 573, 553, 267, 1577, 781, 4983, 930, 1134, 8153, 8320, 540, 713, 7097, 1826, 281, 1546, 7079, 698, 926, 1031, 538, 19446, 267, 20474, 7097, 8246, 538, 519, 20474, 1893, 267, 543, 6599, 328, 8084, 6964, 538, 2549, 9618, 545, 269, 2353, 1614, 6542, 3982, 3601, 1247, 4687, 1455, 8017, 7915, 547, 705, 1872, 573, 553, 780, 28319, 534, 5953, 3258, 13682, 267, 23608, 689, 3504, 3127, 267, 5161, 540, 19283, 1218, 10483, 676, 1019, 659, 15560, 7436, 10834, 20262, 4992, 269, 3962, 1915, 4564, 513, 27901, 8686, 578, 601, 4999, 267, 20515, 922, 11382, 629, 545, 8129, 269, 11048, 267, 1317, 519, 1482, 27901, 531, 3490, 3788, 5812, 7488, 540, 18913, 24008, 267, 1546, 7079, 5953, 3258, 13682, 10525, 1978, 21229, 12185, 7907, 1932, 269, 21452, 267, 7429, 2296, 1141, 4657, 513, 4484, 20427, 5540, 12332, 630, 324, 3052, 1421, 1412, 322, 262, 5288, 269, 1412, 330, 30670, 1546, 7079, 5953, 3258, 13682, 28933, 13093, 1670, 11007, 2066, 7648, 540, 922, 6698, 780, 20118, 267, 20474, 7097, 15225, 13380, 7592, 269, 2060, 5072, 6580, 1394, 936, 1079, 27453, 267, 20474, 5713, 607, 835, 540, 519, 13074, 268, 4310, 4654, 11451, 269, 4706, 7097, 13408, 476, 1321, 2596, 24008, 543, 476, 1240, 19283, 1218, 267, 27548, 5111, 476, 26316, 2009, 10659, 269, 6145, 1546, 7079, 5953, 3258, 13682, 267, 1142, 20474, 1915, 19752, 513, 27901, 19610, 609, 606, 7915, 20262, 267, 799, 666, 1287, 581, 9168, 1210, 1019, 659, 761, 923, 585, 824, 13047, 545, 19383, 269, 6736, 1373, 9286, 607, 606, 705, 1872, 5866, 267, 20474, 7097, 9727, 8112, 998, 18593, 6165, 540, 20262, 12508, 4470, 2390, 9355, 4170, 780, 15563, 267, 519, 6599, 328, 8084, 7097, 19674, 607, 606, 7979, 1512, 1851, 705, 1872, 573, 553, 269, 14146, 539, 5097, 1369, 18629, 543, 661, 761, 16699, 267, 713, 1062, 11339, 1896, 6805, 3979, 4654, 1519, 2549, 9618, 545, 543, 2983, 262, 14162, 269, 9521, 1546, 7079, 5953, 3258, 13682, 543, 20474, 20072, 267, 6599, 328, 8084, 1281, 711, 2154, 3606, 7436, 547, 20301, 8795, 24008, 7923, 547, 19283, 1218, 269, 13298, 267, 1367, 5022, 5330, 547, 1808, 27901, 8686, 578, 601, 9696, 267, 3976, 9306, 513, 1447, 24813, 6041, 540, 9275, 1893, 269, 16480, 267, 5103, 891, 3604, 267, 6599, 328, 8084, 1869, 8813, 896, 519, 22597, 540, 705, 1872, 573, 553, 19962, 547, 3838, 4909, 3741, 780, 16352, 8947, 1585, 12013, 1513, 540, 705, 1872, 573, 553, 267, 1018, 4245, 666, 649, 2721, 286, 17616, 267, 789, 5031, 519, 6909, 4763, 540, 1480, 1603, 1949, 267, 10452, 2686, 17381, 543, 10409, 6988, 5001, 269, 19627, 267, 789, 4161, 16866, 11008, 3074, 1419, 13684, 2390, 1603, 1949, 267, 22348, 721, 540, 20718, 2934, 2864, 982, 7453, 6302, 1063, 2010, 269, 14936, 267, 4974, 705, 1872, 573, 553, 27862, 938, 7071, 540, 2634, 29010, 267, 13031, 875, 3309, 9647, 13132, 4497, 543, 3337, 938, 8186, 8335, 780, 2026, 7855, 543, 15400, 6267, 267, 2502, 609, 14758, 8153, 2943, 8449, 1271, 1603, 1949, 899, 705, 1872, 573, 553, 11942, 13784, 543, 3376, 839, 5380, 269, 5047, 267, 2016, 2810, 2518, 25872, 267, 30015, 6000, 609, 1702, 827, 12947, 13895, 12331, 540, 4082, 3587, 2479, 811, 2565, 269, 1635, 3024, 532, 543, 3695, 9867, 1603, 1949, 267, 649, 8956, 8103, 781, 7214, 10781, 17364, 5553, 543, 17407, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19284, 4633, 543, 5711, 1893, 630, 339, 22736, 543, 6947, 1070, 2542, 568, 31127, 796, 11499, 269, 4107, 630, 2254, 782, 264, 1004, 1451, 547, 1174, 543, 547, 3717, 741, 1101, 1893, 1510, 1454, 535, 1380, 269, 1809, 3025, 1107, 538, 1169, 5108, 267, 689, 1169, 2528, 267, 538, 1022, 1893, 1107, 2115, 547, 1451, 547, 1224, 269, 1306, 513, 2249, 267, 649, 4076, 1152, 1044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12379, 690, 542, 22971, 910, 476, 1015, 628, 4469, 3233, 18603, 25439, 281, 266, 476, 1789, 476, 21076, 476, 10755, 476, 4335, 271, 18603, 300, 10157, 287, 1263, 601, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4437, 7240, 1315, 2342, 1315, 19744, 3864, 9576, 1399, 267, 547, 606, 9813, 3957, 7585, 602, 1175, 15354, 593, 3618, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 1012, 4578, 2776, 30112, 543, 6341, 7204, 538, 5124, 692, 1103, 713, 3184, 267, 649, 786, 2263, 513, 5124, 3009, 6256, 602, 9727, 1239, 840, 30112, 543, 10386, 2553, 269, 1284, 786, 581, 2324, 609, 513, 4578, 20988, 267, 799, 568, 513, 1079, 8820, 13042, 1239, 2497, 609, 9587, 5732, 540, 1114, 2010, 269, 634, 3009, 6256, 3177, 568, 851, 540, 513, 3677, 1599, 602, 22316, 1239, 585, 513, 3684, 1565, 4305, 780, 2162, 2561, 2056, 4578, 293, 29707, 543, 17553, 31932, 18880, 692, 763, 3009, 5956, 676, 813, 2056, 513, 4578, 20988, 2387, 4206, 319, 547, 513, 4487, 4578, 20988, 2387, 24490, 32470, 319, 1384, 3499, 7090, 454, 4206, 9131, 2889, 329, 11172, 815, 1496, 323, 9131, 2889, 329, 11172, 316, 2608, 17093, 17482, 314, 271, 2639, 24490, 32470, 815, 4487, 32470, 6910, 29254, 994, 7884, 763, 1101, 1899, 5036, 519, 1412, 2889, 329, 262, 6241, 540, 519, 2387, 4206, 319, 4578, 20988, 547, 513, 1592, 5627, 513, 2582, 1871, 2387, 323, 9131, 2889, 329, 11172, 319, 7368, 2387, 4206, 17482, 314, 271, 316, 319, 2053, 267, 799, 568, 519, 1297, 540, 9343, 538, 2387, 4206, 18269, 901, 5849, 602, 1169, 4737, 538, 2387, 4206, 319, 814, 519, 1482, 1871, 585, 519, 1412, 2889, 329, 262, 6241, 780, 763, 2034, 1899, 813, 1742, 519, 2387, 4206, 319, 4578, 20988, 547, 519, 2387, 24490, 32470, 319, 4578, 20988, 269, 901, 568, 513, 1455, 1259, 547, 9192, 1239, 689, 2789, 2959, 883, 513, 2582, 4578, 20988, 780, 9202, 267, 519, 3009, 5036, 7508, 2418, 538, 2387, 24490, 32470, 319, 547, 513, 9138, 1871, 1384, 3499, 7090, 454, 604, 711, 630, 15640, 3534, 568, 7183, 2187, 825, 4487, 32470, 8807, 650, 3534, 263, 7407, 284, 15640, 3534, 267, 538, 2897, 18989, 994, 7884, 763, 2387, 15640, 3534, 13237, 1599, 30283, 7508, 2418, 630, 27845, 28213, 264, 538, 519, 4578, 20988, 609, 513, 9138, 1871, 269, 1403, 519, 2387, 15640, 3534, 319, 4661, 568, 711, 7183, 267, 519, 1599, 30283, 10878, 28213, 609, 519, 9138, 1871, 543, 10311, 519, 4578, 20988, 538, 268, 2897, 780, 2162, 6341, 7204, 4578, 585, 13281, 692, 763, 3009, 1287, 5439, 1239, 689, 2387, 24490, 32470, 319, 585, 4152, 1384, 3499, 7090, 454, 11687, 32470, 815, 4487, 32470, 314, 24490, 32470, 9131, 2889, 329, 11172, 2652, 3077, 318, 2889, 329, 12173, 4940, 338, 2217, 18692, 825, 535, 2350, 284, 339, 13759, 318, 2889, 329, 15305, 5334, 2217, 2676, 825, 4351, 26077, 284, 8681, 318, 23092, 454, 994, 7884, 1607, 1899, 12086, 2387, 24490, 32470, 319, 547, 1331, 1152, 9343, 1141, 519, 1412, 2889, 329, 262, 6241, 13292, 2387, 339, 13759, 318, 2889, 329, 12173, 319, 543, 1287, 5439, 513, 6824, 2387, 339, 13759, 318, 2889, 329, 15305, 5334, 2217, 319, 540, 891, 9343, 269, 634, 2387, 12690, 26077, 319, 4661, 5849, 602, 519, 10386, 568, 10063, 24862, 780, 2162, 3816, 8221, 6341, 9482, 4578, 689, 9751, 4578, 692, 763, 3009, 1287, 18788, 519, 25541, 1239, 689, 519, 2866, 1239, 1384, 3499, 7090, 454, 24490, 32470, 815, 4487, 32470, 269, 1460, 314, 24490, 32470, 28827, 6155, 29924, 6025, 652, 32470, 28827, 1070, 2639, 7884, 1607, 1899, 3096, 519, 2387, 8161, 6155, 29924, 13237, 1599, 547, 1265, 519, 17523, 540, 2387, 24490, 32470, 319, 602, 616, 711, 538, 2387, 11687, 32470, 319, 543, 1287, 2824, 338, 1152, 891, 9343, 780, 2162, 27759, 4578, 585, 10724, 4804, 692, 7661, 267, 519, 3009, 22316, 519, 1239, 585, 513, 3684, 1565, 4305, 1384, 3499, 7090, 454, 344, 17601, 7272, 944, 815, 4487, 32470, 9131, 344, 23300, 2889, 329, 17601, 7272, 944, 815, 4487, 32470, 9131, 2889, 329, 23300, 311, 17601, 7272, 944, 815, 4487, 32470, 6155, 1886, 3488, 344, 3299, 7852, 284, 272, 1040, 17840, 3488, 2889, 329, 3299, 7852, 284, 272, 994, 344, 15305, 815, 1449, 32470, 9131, 344, 23300, 311, 15305, 815, 1449, 32470, 6155, 1886, 3488, 344, 3299, 7852, 284, 272, 1040, 17840, 3488, 2889, 329, 3299, 7852, 284, 272, 994, 7884, 763, 1101, 1614, 3515, 1349, 519, 1412, 344, 262, 543, 1412, 2889, 329, 262, 9587, 689, 2387, 24490, 32470, 319, 543, 4558, 873, 538, 2387, 344, 17601, 7272, 944, 319, 543, 2387, 2889, 329, 17601, 7272, 944, 12452, 6606, 269, 634, 2387, 17840, 13237, 1599, 568, 1031, 547, 4894, 891, 9587, 689, 2387, 24490, 32470, 319, 543, 4558, 519, 6967, 9587, 538, 2387, 311, 17601, 7272, 944, 27471, 763, 2063, 1079, 3515, 1349, 519, 1412, 344, 262, 6241, 689, 2387, 11687, 32470, 319, 543, 4558, 621, 538, 2387, 344, 15305, 18269, 634, 2387, 17840, 13237, 1599, 568, 1031, 547, 4894, 519, 1412, 344, 262, 543, 1412, 2889, 329, 262, 9587, 689, 2387, 11687, 32470, 319, 543, 4558, 519, 6967, 9587, 538, 2387, 311, 15305, 27471, 763, 1599, 1287, 7024, 25464, 311, 17601, 7272, 944, 267, 586, 17601, 7272, 944, 267, 605, 329, 17601, 7272, 944, 267, 2473, 15305, 267, 586, 15305, 264, 12452, 799, 666, 581, 1031, 547, 5721, 543, 1449, 513, 3684, 1565, 2203, 780, 1103, 713, 3184, 267, 649, 723, 8268, 513, 5124, 3009, 6256, 602, 9727, 1239, 840, 30112, 543, 10386, 2553, 269, 1284, 723, 2938, 875, 547, 16289, 4578, 293, 29707, 267, 1305, 7508, 2418, 267, 3732, 1239, 585, 4152, 267, 4894, 25541, 1239, 689, 2866, 1239, 267, 543, 5965, 1239, 585, 513, 3684, 1565, 4305, 269, 1452, 2553, 616, 1898, 585, 2324, 609, 1483, 8996, 1239, 543, 2679, 4977, 3684, 1565, 3631, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 672, 17093, 9131, 2889, 329, 11172, 815, 1496, 323, 9131, 2889, 329, 11172, 316, 2608, 17093, 17482, 314, 271, 2639, 1038, 4487, 32470, 815, 4487, 32470, 6910, 29254, 2020, 825, 1948, 1763, 564, 4737, 17523, 547, 1376, 693, 476, 272, 563, 825, 4487, 32470, 269, 637, 564, 16229, 5560, 1886, 18989, 267, 538, 2897, 18989, 994, 8931, 825, 1948, 5590, 7508, 21797, 547, 476, 271, 563, 825, 952, 711, 630, 15640, 3534, 568, 7183, 2187, 1038, 4487, 32470, 8807, 650, 3534, 263, 7407, 284, 15640, 3534, 267, 538, 2897, 18989, 2020, 825, 1948, 12726, 3077, 1788, 585, 4152, 1239, 563, 825, 1449, 32470, 815, 4487, 32470, 314, 24490, 32470, 9131, 2889, 329, 11172, 2652, 3077, 318, 2889, 329, 12173, 4940, 338, 2217, 18692, 1038, 535, 2350, 284, 339, 13759, 318, 2889, 329, 15305, 5334, 2217, 2676, 1038, 4351, 26077, 284, 8681, 318, 23092, 454, 825, 25589, 825, 1948, 17179, 25541, 1239, 689, 2866, 1239, 563, 825, 4487, 32470, 815, 4487, 32470, 269, 1460, 314, 24490, 32470, 28827, 6155, 29924, 6025, 652, 32470, 28827, 1070, 6540, 825, 1948, 1763, 564, 4737, 17523, 547, 1376, 693, 476, 272, 563, 825, 4487, 32470, 269, 637, 564, 16229, 5560, 1886, 18989, 267, 538, 2897, 18989, 2020, 825, 586, 17601, 7272, 944, 815, 4487, 32470, 9131, 344, 23300, 825, 605, 329, 17601, 7272, 944, 815, 4487, 32470, 9131, 2889, 329, 23300, 825, 2473, 17601, 7272, 944, 815, 4487, 32470, 6155, 1886, 3488, 344, 3299, 7852, 284, 272, 1040, 17840, 3488, 2889, 329, 3299, 7852, 284, 272, 994, 825, 586, 15305, 815, 1449, 32470, 9131, 344, 23300, 825, 2473, 15305, 815, 1449, 32470, 6155, 1886, 3488, 344, 3299, 7852, 284, 272, 1040, 17840, 3488, 2889, 329, 3299, 7852, 284, 272, 2020, 825, 2132, 630, 311, 17601, 7272, 944, 267, 586, 17601, 7272, 944, 267, 605, 329, 17601, 7272, 944, 267, 2473, 15305, 267, 586, 15305, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 1290, 545, 3883, 20520, 256, 5192, 4712, 547, 25793, 1662, 707, 5876, 543, 2995, 5863, 2984, 998, 12400, 543, 1913, 269, 1284, 3513, 2263, 875, 13371, 2835, 1491, 3337, 543, 1451, 827, 519, 2609, 602, 3142, 873, 547, 1272, 269, 1635, 519, 1439, 540, 713, 1576, 1770, 267, 596, 786, 1711, 707, 1360, 1378, 13371, 1433, 2985, 2439, 1262, 1432, 568, 513, 1290, 545, 3883, 15140, 288, 13371, 1433, 568, 513, 4015, 540, 18615, 2592, 602, 6645, 513, 1650, 269, 898, 10905, 12383, 630, 9526, 902, 264, 609, 3061, 687, 630, 6919, 10503, 1018, 781, 8345, 1070, 5188, 31148, 630, 14588, 3663, 18616, 1063, 3197, 1070, 543, 3280, 2360, 547, 4497, 3988, 543, 6655, 2962, 269, 6056, 540, 621, 899, 8384, 513, 7260, 11200, 8470, 676, 8470, 780, 1262, 763, 22845, 540, 513, 1290, 545, 3883, 8525, 16001, 265, 2878, 32292, 1564, 4995, 1452, 616, 14604, 5627, 5094, 10207, 1369, 519, 2949, 1650, 269, 1358, 948, 3391, 519, 5467, 781, 3750, 543, 1852, 533, 5217, 269, 5994, 8384, 513, 3381, 1141, 1142, 7406, 4564, 835, 6429, 1107, 8440, 960, 13974, 538, 14676, 563, 265, 2878, 13142, 3030, 1299, 23994, 4995, 16992, 616, 945, 610, 1018, 519, 1650, 568, 827, 267, 1247, 5468, 1683, 2796, 543, 5790, 269, 5637, 666, 2039, 689, 2241, 25780, 547, 6946, 3877, 4470, 593, 519, 7376, 779, 2511, 563, 265, 2878, 290, 2194, 687, 1299, 15511, 11831, 9398, 4995, 12650, 687, 2285, 3606, 9623, 3544, 540, 1915, 4633, 267, 971, 607, 4555, 610, 4282, 5013, 269, 15511, 31148, 1397, 7391, 1063, 3197, 1210, 21217, 15738, 2509, 10529, 563, 265, 2878, 306, 895, 12186, 4995, 2201, 25959, 641, 4141, 807, 630, 6919, 602, 17932, 4992, 264, 3986, 3527, 543, 1039, 10761, 269, 6201, 1331, 834, 289, 4456, 10590, 585, 5309, 2583, 267, 834, 9915, 299, 23808, 257, 585, 1216, 267, 610, 1256, 834, 313, 5058, 257, 950, 2576, 814, 513, 1390, 2856, 2439, 1262, 17730, 2659, 13574, 1290, 545, 3883, 8525, 16001, 3086, 1577, 781, 2322, 938, 16012, 1702, 883, 2259, 269, 7427, 891, 3268, 547, 1711, 707, 1101, 13371, 1433, 2985, 1384, 272, 269, 4643, 2659, 9452, 281, 11020, 10445, 606, 3312, 1523, 5473, 4277, 3197, 543, 13858, 2621, 269, 3503, 1524, 1883, 2798, 865, 596, 1810, 1405, 7340, 1022, 1271, 11353, 563, 273, 269, 28220, 7754, 1564, 281, 32341, 875, 1082, 8440, 596, 991, 1759, 593, 707, 4729, 269, 681, 5699, 2721, 10833, 10834, 741, 13307, 543, 2450, 593, 707, 1957, 269, 5457, 267, 811, 8440, 1611, 5488, 10605, 282, 7864, 8440, 3500, 1919, 1524, 563, 274, 269, 16503, 3433, 16992, 1299, 23994, 281, 20780, 707, 5075, 547, 1272, 676, 5373, 3197, 3330, 3617, 5468, 269, 10312, 593, 2596, 5546, 693, 1101, 1354, 4946, 32067, 3877, 563, 275, 269, 5410, 9293, 281, 4635, 2312, 13002, 267, 2328, 3061, 687, 7713, 1898, 3344, 543, 1711, 5188, 31148, 585, 1915, 4205, 269, 5269, 2386, 789, 3514, 20354, 3330, 9757, 2127, 563, 276, 269, 5071, 14675, 12186, 281, 10576, 8090, 8506, 3063, 522, 558, 874, 269, 7994, 17501, 593, 25959, 641, 4141, 5362, 543, 21176, 6451, 873, 883, 707, 11247, 780, 23558, 256, 1411, 1631, 1174, 519, 9238, 540, 2870, 513, 13371, 1433, 2985, 269, 5901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5638, 798, 2370, 547, 2995, 721, 827, 519, 2729, 540, 519, 2043, 610, 875, 789, 2731, 6829, 2933, 267, 543, 3079, 3561, 519, 1686, 540, 14882, 811, 982, 4376, 3116, 563, 2467, 849, 3344, 540, 519, 1966, 602, 616, 811, 1808, 547, 31150, 2259, 1498, 269, 13229, 2895, 1516, 3340, 2500, 17048, 532, 267, 543, 2500, 17048, 532, 3340, 519, 946, 540, 513, 6417, 6863, 269, 589, 2048, 25049, 6863, 685, 568, 513, 3787, 540, 5399, 2257, 3822, 602, 9247, 1797, 513, 1592, 540, 1913, 2818, 540, 519, 3924, 723, 8815, 723, 1808, 10096, 538, 519, 2796, 540, 741, 960, 269, 1403, 596, 3314, 2025, 3556, 22331, 9233, 267, 1589, 540, 1018, 513, 3781, 332, 732, 621, 1131, 581, 952, 2835, 593, 968, 591, 2522, 20115, 892, 543, 2835, 593, 968, 1873, 21148, 20115, 892, 941, 19429, 1927, 896, 968, 335, 8962, 892, 256, 2755, 972, 723, 1044, 930, 8942, 547, 3715, 513, 6325, 6417, 6863, 585, 2474, 1644, 547, 11806, 8656, 266, 9163, 630, 7945, 607, 519, 13067, 28683, 264, 891, 1869, 1459, 2591, 269, 589, 1713, 2460, 540, 14120, 11806, 8656, 266, 29233, 568, 14120, 1367, 9163, 267, 543, 972, 616, 1082, 2043, 945, 7947, 610, 616, 10353, 547, 1978, 10297, 269, 4634, 519, 946, 540, 2048, 4302, 518, 685, 607, 606, 22597, 2165, 585, 519, 2898, 8552, 540, 11806, 8656, 266, 9163, 568, 513, 3787, 540, 513, 1543, 1190, 3390, 3544, 540, 24243, 563, 2171, 849, 2196, 883, 2152, 609, 27164, 26754, 7311, 10297, 547, 2043, 945, 1705, 711, 610, 1419, 1223, 711, 723, 4857, 609, 513, 2016, 2165, 267, 543, 13745, 609, 513, 3668, 540, 6405, 12319, 267, 649, 616, 1419, 2324, 1055, 2370, 811, 982, 30650, 599, 19037, 269, 901, 568, 606, 2523, 16609, 3390, 585, 21517, 607, 5238, 267, 607, 2687, 547, 3318, 4441, 267, 519, 2816, 540, 2895, 643, 1235, 568, 547, 8190, 543, 1683, 1569, 547, 2326, 267, 711, 547, 4612, 873, 269, 2986, 1576, 267, 2048, 5793, 13133, 685, 568, 513, 7168, 22394, 2165, 543, 519, 1899, 568, 1419, 688, 5414, 269, 1403, 649, 4309, 513, 4484, 13296, 513, 812, 4667, 547, 581, 3277, 547, 1776, 812, 607, 513, 11509, 7649, 267, 855, 3085, 1406, 12799, 3277, 547, 741, 2078, 607, 1373, 11509, 267, 1058, 649, 1331, 513, 1641, 11090, 827, 32270, 610, 20210, 9163, 538, 519, 17048, 286, 1230, 14846, 2048, 12895, 2259, 685, 585, 2895, 1516, 1131, 2161, 602, 649, 12582, 1406, 267, 855, 972, 814, 1044, 2810, 7903, 3724, 1996, 891, 2093, 269, 1403, 649, 20549, 547, 4497, 538, 1022, 1377, 540, 7664, 1141, 12102, 9163, 616, 7255, 267, 616, 649, 14123, 610, 10283, 538, 519, 2144, 5501, 540, 20210, 1686, 286, 10251, 267, 621, 779, 513, 2243, 602, 814, 1100, 2653, 2626, 1317, 621, 1590, 2141, 581, 4553, 909, 609, 267, 2048, 1692, 2484, 1131, 581, 1932, 2484, 286, 20371, 763, 3483, 540, 4687, 891, 2591, 3884, 1406, 547, 2119, 543, 1118, 2300, 4926, 585, 1946, 938, 1699, 2200, 7282, 11806, 8656, 266, 1686, 616, 2864, 15877, 269, 13298, 267, 649, 1616, 547, 581, 1930, 543, 9237, 827, 519, 2591, 649, 2461, 6849, 538, 8744, 713, 1686, 547, 1769, 543, 930, 540, 519, 2055, 649, 2461, 21679, 609, 269, 898, 779, 849, 1945, 540, 606, 27592, 547, 519, 2146, 547, 2709, 3403, 538, 519, 1184, 269, 1548, 616, 519, 1655, 2081, 547, 6023, 713, 1570, 6213, 569, 286, 1772, 972, 513, 2489, 13618, 1472, 1018, 2474, 649, 1058, 946, 610, 2057, 286, 3657, 972, 2326, 25643, 2199, 20210, 1686, 789, 8910, 581, 8348, 547, 2671, 610, 899, 547, 1294, 12873, 286, 1284, 1131, 5660, 1022, 3403, 602, 1223, 948, 721, 547, 1118, 21517, 513, 811, 22205, 267, 8537, 2230, 602, 3561, 519, 2407, 4560, 540, 519, 1480, 1995, 267, 2864, 982, 1175, 1018, 1522, 581, 1572, 519, 2343, 563, 15987, 1206, 286, 5999, 286, 1411, 666, 3914, 10793, 998, 519, 3778, 18740, 4757, 267, 18078, 17106, 11333, 3820, 563, 296, 16867, 19537, 2998, 267, 2199, 2278, 543, 513, 3972, 2465, 540, 32371, 611, 1695, 665, 27264, 5549, 1421, 4280, 721, 547, 2671, 713, 5048, 827, 519, 3791, 543, 3803, 5691, 4663, 6035, 676, 9501, 296, 713, 5614, 563, 32091, 4675, 13024, 540, 9501, 296, 2676, 306, 698, 611, 1695, 665, 27264, 5549, 269, 568, 30590, 547, 2709, 12875, 1948, 274, 540, 14956, 2287, 1684, 832, 538, 19866, 24872, 585, 513, 1269, 1015, 21856, 269, 1284, 2461, 2111, 547, 8831, 713, 2709, 1317, 938, 3105, 19150, 723, 25295, 938, 6788, 543, 835, 20033, 538, 1880, 729, 2523, 4758, 269, 769, 519, 31462, 525, 540, 5046, 268, 866, 267, 938, 2228, 19150, 723, 6854, 721, 4448, 267, 543, 789, 4076, 6854, 8978, 11091, 3001, 4464, 269, 11289, 596, 585, 5885, 9501, 296, 256, 1284, 25442, 569, 4126, 596, 3580, 6443, 721, 585, 519, 2063, 4663, 540, 519, 3126, 593, 4989, 476, 2537, 1700, 1839, 563, 2690, 589, 997, 807, 267, 7788, 773, 267, 543, 803, 267, 713, 814, 1044, 606, 7045, 547, 3314, 269, 1284, 10272, 22221, 5321, 267, 1519, 513, 25708, 3138, 1111, 267, 543, 1079, 11599, 5656, 282, 543, 649, 9676, 513, 3787, 540, 1686, 593, 4670, 609, 519, 9316, 540, 741, 5411, 269, 7490, 6443, 721, 2228, 585, 938, 6264, 3803, 324, 269, 12875, 1948, 274, 786, 1491, 596, 3330, 513, 16972, 1753, 609, 513, 10875, 2070, 540, 519, 32371, 611, 1695, 665, 15167, 267, 513, 8549, 16654, 7810, 602, 2899, 20705, 547, 3627, 4793, 1084, 267, 543, 513, 588, 528, 1221, 7969, 622, 1765, 321, 16742, 1472, 606, 22733, 10601, 1753, 1765, 18478, 4583, 676, 18148, 13268, 731, 267, 519, 12021, 6928, 28265, 518, 543, 13653, 540, 24872, 14205, 902, 269, 1656, 585, 938, 1698, 7723, 4663, 267, 519, 7022, 540, 9501, 296, 267, 7033, 645, 4592, 14269, 7315, 267, 3217, 721, 3330, 519, 10355, 2938, 25113, 540, 519, 15604, 9335, 5783, 267, 1519, 519, 11350, 13486, 269, 7033, 786, 2671, 519, 1650, 540, 519, 15604, 9335, 4741, 1765, 1080, 2250, 267, 1459, 267, 543, 2104, 2336, 28716, 4179, 2517, 4178, 4732, 698, 611, 1695, 665, 26078, 3569, 3820, 270, 641, 2287, 1673, 14995, 2987, 3620, 626, 7595, 1532, 987, 543, 7662, 519, 3095, 585, 12875, 1948, 274, 267, 4989, 476, 2537, 1700, 1839, 269, 1411, 3580, 4309, 519, 3095, 3842, 4757, 593, 4989, 476, 2420, 563, 312, 2293, 538, 11091, 2676, 18550, 568, 6468, 779, 3778, 13600, 256, 1284, 3838, 3688, 543, 10070, 689, 519, 3778, 18740, 602, 22113, 2021, 779, 1686, 538, 938, 2950, 538, 1142, 3390, 540, 519, 5399, 779, 4757, 20394, 630, 338, 793, 909, 1934, 1040, 6423, 1142, 3018, 779, 1650, 2630, 2336, 9303, 7595, 2679, 12439, 786, 581, 6126, 547, 1451, 602, 32371, 611, 1695, 665, 27264, 5549, 1421, 938, 12543, 693, 15604, 9335, 4741, 267, 786, 8661, 741, 476, 2004, 628, 16683, 676, 5356, 5691, 2777, 19150, 538, 4728, 563, 306, 698, 611, 1695, 665, 27264, 267, 5549, 1421, 737, 6506, 1055, 519, 11812, 540, 922, 476, 2004, 628, 16683, 713, 1032, 609, 513, 3126, 540, 2228, 11461, 19150, 540, 8978, 5321, 543, 21056, 538, 24872, 267, 19051, 269, 21118, 539, 676, 9501, 296, 4604, 4759, 8341, 928, 19537, 2998, 267, 12875, 1948, 272, 630, 17739, 1043, 4728, 476, 866, 268, 2641, 264, 6212, 593, 2185, 4357, 4036, 1878, 4092, 593, 6115, 543, 5664, 6790, 1115, 269, 7348, 619, 786, 581, 5701, 547, 11265, 2934, 267, 3140, 1344, 543, 4282, 2984, 827, 891, 4190, 5321, 269, 9501, 296, 568, 513, 1279, 5503, 1139, 7163, 540, 519, 32371, 611, 1695, 665, 3778, 1299, 2637, 7002, 9609, 18740, 563, 763, 11091, 3919, 729, 8547, 538, 476, 3192, 272, 267, 1101, 267, 547, 4688, 519, 15604, 9335, 5783, 689, 16516, 23542, 819, 543, 267, 2034, 267, 547, 1489, 519, 11091, 540, 24872, 779, 10058, 11265, 9371, 5051, 12219, 676, 2530, 563, 2690, 811, 1344, 267, 1294, 519, 2680, 593, 519, 32371, 611, 1695, 665, 27264, 5549, 269, 3896, 563, 763, 32371, 611, 1695, 665, 3778, 543, 2637, 7002, 9609, 18740, 3045, 25555, 519, 27867, 5993, 16011, 3778, 10022, 2336, 11854, 5474, 689, 4793, 1084, 5131, 7732, 779, 2947, 4759, 2950, 786, 1459, 593, 3344, 540, 741, 4884, 779, 1686, 593, 2947, 14349, 544, 1941, 902, 538, 5130, 543, 5988, 563, 4002, 5130, 476, 1626, 267, 26637, 26100, 325, 1068, 786, 1459, 5565, 2578, 3753, 540, 11554, 585, 24872, 31654, 1682, 269, 2201, 5130, 476, 2537, 267, 10793, 29336, 786, 2285, 519, 31845, 3778, 540, 1488, 4900, 545, 269, 2201, 5130, 476, 1789, 267, 14639, 928, 17755, 578, 534, 540, 31869, 1326, 1144, 786, 2671, 519, 1650, 540, 18279, 853, 514, 16026, 16634, 1103, 3571, 13574, 9293, 269, 4639, 24872, 779, 8834, 29571, 335, 1961, 786, 2911, 827, 1010, 1920, 779, 2290, 25569, 13012, 593, 23720, 623, 1180, 593, 5988, 476, 277, 269, 2201, 5988, 476, 1724, 267, 7605, 21862, 839, 786, 1459, 26741, 16049, 9093, 543, 519, 476, 10082, 280, 6755, 984, 2675, 582, 30609, 819, 563, 763, 3126, 786, 1491, 1747, 12303, 593, 28652, 543, 2011, 2661, 593, 24872, 7991, 27657, 693, 476, 1015, 281, 1789, 7537, 563, 2690, 811, 1344, 267, 3346, 808, 650, 26629, 330, 583, 20858, 267, 5246, 22999, 1299, 7981, 26888, 20157, 4115, 538, 519, 32371, 611, 1695, 665, 3778, 1299, 2637, 7002, 9609, 18740, 693, 4757, 11333, 2593, 610, 476, 21709, 268, 4510, 274, 268, 276, 1691, 272, 970, 476, 1240, 563, 5472, 14245, 2253, 693, 476, 1015, 281, 1789, 993, 593, 14349, 269, 13773, 22934, 585, 811, 1344, 827, 2027, 1246, 5346, 7886, 563, 347, 20464, 476, 1626, 1475, 289, 987, 1475, 10521, 2578, 3753, 540, 11554, 585, 24872, 31654, 1682, 1475, 301, 11936, 26100, 325, 1068, 2008, 347, 20464, 476, 2537, 1475, 6635, 4900, 545, 1475, 11321, 14144, 3778, 540, 1488, 4900, 545, 1475, 31568, 29336, 2008, 347, 20464, 476, 1789, 1475, 10481, 528, 1326, 1144, 1475, 290, 2194, 664, 853, 514, 16026, 16634, 1103, 3571, 13574, 9293, 1475, 297, 6756, 928, 17755, 578, 534, 2008, 347, 21938, 476, 277, 1475, 26156, 24872, 1475, 3080, 25569, 13012, 593, 23720, 623, 1180, 1475, 30681, 29571, 335, 1961, 2008, 347, 21938, 476, 1724, 1475, 310, 944, 16049, 1475, 310, 944, 16049, 9093, 543, 519, 476, 10082, 280, 6755, 984, 2675, 582, 30609, 819, 1475, 21659, 21862, 839, 2008, 2691, 27239, 6700, 3257, 513, 28652, 1982, 1394, 538, 4728, 476, 1708, 271, 267, 594, 1185, 1100, 2856, 1018, 621, 1131, 1831, 269, 3778, 18740, 14970, 814, 1044, 971, 513, 7772, 547, 3132, 1169, 3018, 269, 1284, 2461, 1312, 2469, 547, 4413, 7487, 938, 29123, 685, 8188, 1247, 649, 1445, 593, 8744, 519, 476, 1704, 628, 16316, 16011, 3778, 10022, 2228, 563, 2171, 3323, 538, 4989, 609, 519, 2856, 602, 649, 1223, 948, 29123, 1569, 2199, 1686, 543, 5444, 30688, 2200, 593, 519, 1357, 1247, 649, 941, 6806, 547, 519, 1857, 269, 27239, 267, 609, 1200, 2620, 1702, 540, 5444, 30688, 12240, 267, 14736, 539, 1055, 519, 3126, 609, 513, 4663, 540, 1323, 6827, 787, 2593, 2200, 267, 1287, 5189, 721, 547, 519, 21318, 540, 5444, 30688, 2200, 2139, 593, 519, 1357, 269, 3973, 267, 2094, 519, 1101, 3018, 540, 519, 5912, 689, 1250, 2025, 2816, 607, 17048, 518, 547, 1250, 1007, 2816, 607, 2895, 22999, 729, 849, 2817, 5403, 15258, 10432, 630, 9802, 476, 274, 268, 280, 1070, 594, 25653, 883, 938, 15813, 2022, 15258, 10070, 547, 2671, 930, 8711, 609, 596, 269, 1284, 8737, 856, 519, 1101, 3923, 609, 24334, 28914, 267, 513, 13680, 8400, 799, 1131, 4166, 1831, 1250, 5172, 1554, 540, 519, 3923, 269, 630, 19400, 6592, 3778, 18740, 14970, 14245, 1934, 8094, 1103, 519, 2038, 2395, 540, 519, 6855, 267, 621, 729, 8799, 547, 723, 1945, 4101, 547, 1445, 593, 269, 1284, 16540, 539, 267, 6594, 267, 4547, 593, 14538, 267, 4121, 519, 1202, 543, 16080, 540, 17948, 267, 28652, 267, 543, 13334, 269, 2311, 1101, 267, 1250, 1297, 835, 3804, 729, 547, 917, 1018, 1985, 3018, 779, 1888, 1131, 581, 676, 519, 942, 649, 3323, 10916, 593, 11016, 12784, 269, 3973, 267, 607, 649, 3323, 3478, 519, 13793, 540, 1919, 267, 594, 7307, 547, 3500, 1524, 543, 5431, 519, 8188, 538, 519, 5304, 269, 2368, 941, 8188, 540, 1004, 594, 1185, 2907, 1558, 538, 1268, 267, 855, 1082, 1866, 1185, 1044, 21046, 1175, 513, 3923, 610, 1079, 1354, 563, 763, 1655, 3364, 827, 1818, 3778, 18740, 14970, 713, 1032, 814, 1044, 5870, 1004, 689, 519, 2146, 256, 898, 814 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 305, 5699, 1079, 3275, 593, 689, 30505, 2918, 267, 972, 814, 1044, 1312, 3365, 1021, 543, 9880, 540, 519, 2916, 10554, 563, 5278, 267, 899, 2916, 19191, 543, 11016, 585, 8892, 13653, 13983, 3279, 774, 684, 6199, 267, 16363, 621, 606, 2680, 540, 3039, 31290, 267, 609, 14761, 543, 1158, 3401, 1210, 621, 607, 606, 4316, 547, 6060, 2798, 2864, 982, 15357, 1483, 1689, 563, 308, 526, 16040, 267, 972, 941, 1312, 23602, 543, 17485, 619, 267, 855, 1018, 3112, 581, 17792, 568, 602, 519, 29161, 2861, 21895, 16668, 519, 4064, 543, 3007, 540, 519, 1158, 585, 519, 6830, 9519, 602, 621, 10443, 563, 5415, 982, 476, 1789, 267, 1822, 1004, 1166, 18088, 547, 29161, 585, 519, 6167, 781, 21895, 593, 519, 2916, 6433, 267, 2921, 851, 538, 17600, 267, 12909, 267, 543, 11401, 602, 786, 3337, 519, 1985, 1032, 538, 2916, 2962, 563, 4596, 303, 2918, 729, 6157, 835, 540, 519, 7887, 2621, 547, 581, 4371, 538, 10430, 538, 2487, 1296, 267, 5373, 1158, 3401, 543, 4583, 8188, 547, 1312, 29161, 543, 25470, 585, 519, 1079, 4374, 563, 2026, 519, 14747, 547, 519, 7887, 2916, 21895, 540, 519, 1032, 267, 519, 1004, 540, 29161, 543, 10430, 607, 513, 2898, 941, 5310, 519, 1034, 4299, 676, 519, 2916, 10554, 563, 29012, 267, 1382, 5342, 676, 711, 16519, 17416, 3406, 2599, 661, 6523, 807, 6920, 602, 519, 7099, 543, 10182, 540, 26909, 19886, 543, 13677, 7264, 729, 3648, 4957, 689, 1354, 30505, 2918, 3576, 1747, 563, 2080, 779, 875, 18941, 1472, 2916, 2962, 814, 4957, 538, 10430, 2094, 30505, 2918, 563, 305, 1047, 538, 2916, 17933, 454, 16729, 30505, 2918, 267, 835, 538, 4557, 26909, 933, 326, 2103, 543, 835, 538, 476, 736, 29703, 1631, 2015, 2933, 2916, 15628, 267, 2687, 547, 17227, 4204, 1239, 689, 476, 273, 267, 1822, 29703, 563, 1103, 1840, 267, 476, 4649, 260, 540, 29703, 616, 8348, 547, 1118, 1713, 2242, 547, 741, 19824, 547, 948, 8396, 519, 2916, 6433, 607, 513, 1267, 540, 713, 1032, 779, 23967, 543, 17160, 563, 1103, 1899, 609, 7928, 9880, 540, 30505, 2918, 267, 476, 3374, 260, 540, 29703, 3494, 602, 519, 5177, 543, 13677, 6608, 991, 547, 798, 811, 950, 621, 2501, 547, 8165, 2916, 1689, 563, 29012, 267, 7616, 729, 5063, 2016, 547, 513, 6107, 3350, 267, 1284, 324, 5983, 7370, 267, 6322, 693, 21365, 9265, 2530, 267, 543, 13677, 5647, 814, 4389, 519, 3653, 540, 835, 540, 519, 4182, 779, 1883, 6080, 267, 13687, 10068, 563, 9928, 1824, 2921, 2123, 3527, 454, 290, 527, 714, 839, 616, 849, 1631, 2921, 6927, 883, 741, 1378, 3946, 538, 513, 3099, 540, 1114, 2081, 563, 1103, 2489, 267, 476, 4649, 260, 540, 13677, 1004, 616, 1631, 8348, 547, 1118, 2242, 547, 741, 2489, 6197, 538, 606, 4674, 547, 3970, 519, 2360, 540, 519, 2916, 6433, 563, 5415, 4481, 267, 476, 6078, 260, 540, 29703, 723, 4389, 741, 5779, 6981, 547, 948, 8396, 519, 2916, 6433, 267, 609, 513, 2417, 476, 1321, 260, 17548, 602, 789, 941, 8348, 547, 3548, 1447, 5779, 2861, 6980, 829, 3018, 563, 305, 14445, 532, 5779, 4616, 1797, 602, 4130, 5666, 540, 8511, 9362, 267, 899, 15655, 2910, 273, 267, 543, 6491, 9317, 12547, 616, 3812, 607, 513, 676, 1790, 6055, 540, 13184, 8105, 563, 1103, 1840, 267, 1804, 2220, 520, 1127, 540, 519, 1158, 779, 27442, 1076, 2244, 616, 1031, 711, 1152, 547, 3484, 13184, 267, 855, 849, 547, 1332, 7031, 538, 1931, 547, 3049, 873, 563, 305, 14445, 532, 519, 2518, 13829, 593, 13184, 8105, 1131, 1863, 909, 2244, 267, 4688, 1216, 267, 543, 2569, 8511, 3154, 5434, 563, 295, 13783, 547, 2272, 454, 20458, 2962, 568, 6157, 711, 3908, 547, 1367, 3527, 267, 2705, 563, 4029, 2818, 540, 519, 674, 4811, 292, 476, 1911, 267, 519, 4994, 540, 6628, 779, 4102, 7396, 3549, 267, 616, 4867, 32749, 2910, 273, 693, 3928, 5812, 609, 2518, 2837, 4679, 540, 476, 273, 269, 278, 290, 610, 811, 676, 476, 13078, 271, 267, 2687, 547, 2079, 676, 6259, 525, 4302, 267, 513, 2754, 602, 2488, 2916, 1239, 547, 9520, 563, 1607, 2047, 4422, 1996, 519, 3804, 540, 12145, 2518, 8337, 547, 476, 272, 269, 276, 290, 267, 607, 8815, 538, 519, 8303, 8693, 15716, 543, 23060, 1524, 593, 693, 30505, 2918, 563, 2419, 4474, 519, 3527, 540, 3549, 971, 607, 891, 666, 1118, 513, 1483, 3017, 538, 2081, 602, 1367, 3527, 3274, 3112, 563, 29012, 267, 476, 3607, 260, 540, 1004, 1589, 621, 779, 519, 5539, 540, 4948, 1004, 547, 4194, 519, 1966, 269, 476, 3451, 260, 540, 29703, 3494, 519, 5177, 543, 1821, 9407, 6608, 616, 6038, 3743, 585, 6061, 519, 2916, 6433, 543, 1152, 476, 276, 260, 1589, 621, 568, 3257, 865, 1360, 18481, 538, 519, 12687, 540, 30505, 2918, 563, 2691, 621, 2501, 547, 4872, 267, 1004, 538, 25470, 616, 1034, 2693, 547, 2322, 519, 5539, 593, 519, 2229, 267, 811, 865, 982, 1022, 824, 2749, 23500, 538, 519, 5177, 267, 609, 476, 6795, 260, 540, 519, 2749, 779, 2551, 25380, 519, 3948, 563, 2026, 513, 1267, 267, 661, 6523, 807, 779, 5619, 1239, 2982, 602, 476, 5325, 260, 540, 29703, 1616, 2962, 3144, 1996, 519, 1034, 3542, 5024, 8093, 4492, 3549, 563, 11854, 6900, 3527, 602, 723, 8810, 547, 581, 2442, 609, 29703, 1331, 513, 2698, 7333, 593, 8093, 4492, 5533, 267, 3079, 540, 4617, 2287, 19647, 547, 2569, 873, 267, 543, 513, 27290, 2333, 538, 3529, 9544, 563, 290, 4040, 856, 540, 30505, 2918, 267, 519, 2262, 532, 1472, 4227, 946, 540, 796, 629, 730, 5755, 729, 4957, 693, 519, 2063, 8792, 1813, 547, 2604, 689, 3127, 543, 3624, 267, 1373, 9419, 978, 24612, 689, 834, 874, 2084, 856, 892, 5755, 547, 519, 811, 15061, 968, 874, 2084, 1524, 9731, 1607, 17275, 7839, 9880, 689, 1082, 3864, 2477, 693, 519, 942, 267, 5103, 1373, 513, 8978, 4090, 538, 602, 621, 779, 519, 1101, 942, 602, 8093, 10173, 723, 1044, 5018, 538, 513, 6167, 2916, 6876, 563, 8448, 2093, 602, 723, 8810, 2442, 609, 29703, 11735, 689, 7333, 940, 8093, 10173, 1331, 519, 946, 540, 3327, 5786, 2029, 543, 9544, 811, 4054, 563, 8601, 519, 2591, 15054, 676, 519, 2916, 6433, 267, 13677, 1004, 1107, 543, 3226, 26909, 933, 326, 2103, 910, 616, 29014, 585, 519, 2104, 563, 5278, 476, 4037, 260, 540, 26909, 19886, 17013, 1767, 789, 941, 968, 11274, 5193, 569, 892, 610, 968, 16341, 6343, 892, 29014, 827, 519, 4182, 779, 2702, 547, 6707, 4339, 1055, 519, 10782, 5222, 540, 519, 2916, 6433, 267, 3379, 547, 1175, 476, 4792, 260, 540, 1004, 538, 25470, 563, 9928, 582, 1633, 814, 2907, 1185, 1082, 2825, 17993, 593, 1312, 513, 3084, 543, 2199, 4336, 538, 476, 1708, 272, 267, 543, 609, 519, 3395, 1719, 543, 1648, 540, 519, 13677, 1857, 267, 649, 666, 4126, 547, 1294, 1256, 811, 538, 476, 1708, 273, 269, 0, 17471, 1121, 8636, 766, 11033, 723, 1044, 24569, 1507, 11615, 1472, 519, 1158, 269, 769, 930, 2665, 267, 789, 3142, 811, 2724, 883, 2477, 982, 3486, 5351, 269, 1656, 789, 2811, 513, 2101, 851, 540, 513, 2603, 540, 1920, 23348, 563, 20007, 1227, 267, 621, 779, 513, 8569, 11843, 689, 835, 5428, 547, 1776, 269, 3719, 267, 2221, 267, 1034, 1004, 946, 519, 2165, 547, 4766, 2724, 11843, 547, 513, 1920, 689, 513, 3448, 2713, 13383, 563, 306, 11367, 4688, 909, 513, 6712, 540, 741, 4747, 547, 1780, 2059, 547, 1920, 2818, 945, 2661, 538, 1776, 2197, 269, 3973, 789, 1121, 527, 630, 528, 4483, 264, 519, 2724, 7868, 11033, 616, 2356, 2366, 3842, 606, 3486, 5911, 4483, 610, 2724, 4483, 3028, 269, 13914, 281, 5375, 5742, 269, 5589, 760, 1801, 1287, 946, 519, 2724, 547, 3382, 1426, 267, 9660, 267, 543, 824, 1920, 9276, 454, 9359, 609, 513, 2724, 4483, 3028, 269, 1656, 581, 5423, 585, 519, 2404, 12375, 269, 5221, 789, 2461, 3902, 344, 269, 3171, 525, 561, 5424, 1472, 476, 278, 260, 540, 519, 2179, 2366, 269, 1809, 930, 2477, 1544, 593, 4227, 12375, 547, 476, 274, 260, 676, 476, 10711, 271, 269, 769, 476, 1001, 280, 267, 827, 1269, 4343, 269, 276, 5479, 4682, 4724, 1121, 8636, 766, 12375, 269, 3371, 616, 707, 3681, 585, 11488, 11033, 912, 23612, 18407, 2724, 4483, 7426, 899, 5375, 5742, 543, 14559, 294, 1090, 2709, 1121, 8636, 766, 2533, 269, 2368, 849, 2709, 11880, 1243, 2533, 4470, 593, 519, 18579, 2197, 563, 4407, 930, 6494, 619, 1995, 7411, 4466, 8492, 13383, 267, 6266, 540, 2883, 5238, 2709, 547, 4483, 2518, 1121, 8636, 766, 11033, 2047, 689, 707, 2272, 12171, 4315, 4019, 267, 540, 1576, 563, 5278, 6494, 619, 946, 11974, 543, 2724, 9753, 547, 6494, 11033, 3842, 2879, 841, 13875, 269, 2755, 713, 4781, 23352, 519, 12375, 267, 621, 9090, 3085, 1406, 2097, 609, 519, 13418, 540, 3432, 344, 6765, 563, 7197, 1121, 8636, 1734, 689, 519, 2475, 616, 2366, 676, 1970, 13867, 27540, 4600, 563, 6097, 547, 519, 2136, 8315, 267, 827, 476, 272, 5479, 1004, 616, 3238, 538, 11488, 610, 8391, 1121, 8636, 766, 11033, 269, 4517, 1472, 476, 8517, 2929, 616, 23700, 269, 2201, 3328, 267, 20404, 2356, 6494, 476, 1428, 260, 540, 741, 4747, 547, 741, 14077, 269, 13914, 281, 1269, 1220, 547, 1269, 4968, 1169, 1079, 547, 1614, 3275, 269, 7617, 2356, 2306, 909, 827, 476, 2568, 260, 540, 519, 7622, 4747, 585, 14077, 538, 2477, 899, 18310, 267, 27425, 267, 543, 8644, 4997, 563, 10303, 789, 1404, 513, 2101, 1909, 538, 519, 2518, 4346, 269, 1358, 2461, 835, 540, 519, 4102, 2959, 540, 4747, 585, 6634, 540, 3885, 28629, 788, 267, 811, 982, 3486, 5351, 269, 4634, 519, 5046, 268, 866, 6855, 4769, 1406, 3247, 519, 1121, 8636, 766, 2095, 7868, 2622, 7813, 1336, 1121, 8636, 766, 8928, 547, 519, 12144, 543, 5824, 1977, 2477, 8057, 476, 277, 269, 276, 260, 547, 1269, 9818, 5479, 538, 476, 1708, 271, 269, 5221, 1121, 8636, 766, 11033, 2356, 2333, 1282, 2053, 540, 6433, 610, 1920, 18002, 563, 7230, 8636, 766, 11033, 723, 1044, 513, 2101, 6345, 538, 519, 2518, 4346, 2094, 519, 1412, 3445, 338, 269, 2060, 1100, 4191, 540, 23646, 1524, 269, 23883, 711, 1282, 513, 6433, 899, 519, 5046, 268, 866, 6855, 269, 1656, 1631, 596, 917, 875, 547, 6494, 835, 547, 707, 14077, 13383, 563, 20597, 9404, 9364, 676, 667, 2801, 595, 1783, 267, 23729, 534, 2142, 879, 577, 2086, 267, 590, 2602, 4856, 21119, 639, 267, 700, 714, 12928, 826, 1597, 267, 853, 2329, 14943, 13154, 267, 543, 589, 997, 807, 4406, 839, 7288, 0, 268, 7066, 526, 532, 595, 20975, 454, 268, 4578, 12856, 454, 268, 21952, 3590, 454, 268, 595, 14691, 454, 268, 29120, 7335, 454, 268, 772, 28903, 594, 3008, 1401, 4461, 11872, 454, 268, 3763, 518, 781, 7454, 13756, 454, 268, 5999, 543, 12226, 454, 268, 13229, 1763, 2541, 5675, 454, 268, 15679, 19877, 5999, 454, 268, 8950, 3794, 27443, 454, 268, 5808, 568, 5808, 454, 1432, 4523, 952, 594, 786, 5965, 519, 3948, 609, 519, 1482, 2012, 1510, 632, 22433, 20814, 519, 4505, 835, 888, 8002, 1302, 267, 538, 3733, 21415, 267, 649, 666, 5965, 513, 3948, 609, 519, 1482, 2012, 1510, 632, 22433, 20814, 519, 4505, 835, 1317, 3733, 21415, 8850, 12772, 519, 5423, 6898, 950, 789, 616, 2699, 18249, 610, 950, 649, 2673, 519, 4276, 547, 519, 7746, 269, 769, 824, 1913, 267, 649, 666, 2161, 602, 649, 666, 946, 519, 1482, 2012, 585, 5423, 6898, 1510, 632, 22433, 20814, 873, 12799, 269, 1809, 267, 547, 1863, 519, 3965, 593, 519, 7746, 2427, 649, 1590, 723, 547, 632, 22433, 11229, 873, 269, 898, 666, 581, 2944, 609, 519, 948, 540, 16692, 17920, 8016, 12442, 3948, 607, 5205, 6567, 454, 14701, 17920, 8016, 12442, 28217, 303, 22664, 3948, 3248, 2080, 3948, 568, 519, 2012, 540, 519, 5423, 6898, 563, 291, 4629, 303, 28217, 303, 22664, 6898, 568, 519, 28395, 585, 632, 22433, 20814, 519, 5423, 6898, 454, 332, 903, 27942, 285, 667, 4629, 303, 28217, 303, 22664, 588, 31198, 1556, 282, 2372, 2044, 15528, 267, 476, 271, 9343, 4299, 630, 271, 269, 876, 3813, 994, 268, 1548, 4523, 952, 594, 786, 1039, 513, 6167, 296, 12702, 292, 23061, 593, 519, 1482, 6241, 585, 2789, 2053, 888, 268, 1548, 4523, 952, 594, 1780, 1152, 835, 4661, 547, 519, 3733, 21415, 12164, 290, 2969, 3890, 1599, 888, 268, 1548, 4523, 952, 594, 786, 2119, 547, 6749, 623, 6020, 300, 14473, 26395, 312, 23061, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2230, 543, 723, 1044, 9467, 543, 10115, 538, 519, 1585, 19116, 267, 594, 3180, 519, 2070, 602, 19116, 1522, 711, 581, 519, 1152, 1106, 540, 2724, 538, 519, 2104, 855, 789, 786, 15983, 1332, 547, 1831, 1945, 540, 1713, 1871, 563, 6701, 19116, 2922, 2614, 585, 596, 888, 296, 723, 5941, 930, 3106, 4145, 602, 2043, 7363, 723, 543, 891, 616, 4220, 855, 891, 4220, 616, 711, 1346, 602, 3112, 581, 7307, 543, 17956, 563, 763, 3390, 540, 519, 1850, 1275, 540, 19116, 814, 1044, 1454, 23503, 2390, 269, 2368, 6608, 723, 11658, 19116, 538, 741, 2477, 1247, 930, 723, 4547, 9777, 725, 538, 1747, 547, 3895, 543, 6451, 873, 538, 741, 2477, 563, 1432, 519, 2104, 6585, 585, 519, 19116, 786, 581, 1634, 1152, 607, 942, 4422, 593, 267, 835, 666, 723, 513, 2070, 538, 3870, 540, 610, 1256, 1996, 519, 19116, 563, 296, 13948, 3494, 602, 19116, 786, 1332, 1256, 8273, 982, 1018, 621, 568, 2221, 543, 594, 3494, 596, 1058, 6157, 1353, 713, 2344, 543, 6148, 7119, 538, 621, 1932, 563, 1432, 568, 707, 18879, 593, 19116, 888, 1432, 798, 596, 1589, 827, 19116, 286, 1548, 568, 707, 6644, 593, 621, 286, 3657, 596, 835, 540, 1346, 1004, 602, 2965, 11760, 519, 1871, 621, 666, 1683, 610, 616, 596, 835, 540, 1346, 602, 1869, 2161, 19116, 616, 711, 4502, 621, 888, 296, 1131, 2648, 547, 917, 1018, 596, 1589, 827, 621, 543, 6148, 649, 1223, 723, 513, 2370, 10004, 827, 621, 1932, 563, 8722, 601, 1863, 547, 3914, 856, 547, 803, 998, 519, 8292, 3296, 609, 1022, 2055, 610, 14511, 610, 4376, 543, 594, 786, 1205, 1394, 547, 621, 585, 2386, 269, 0, 763, 8307, 9255, 7316, 2672, 764, 525, 1290, 525, 6969, 4518, 1772, 538, 513, 9218, 4828, 563, 2171, 941, 4535, 547, 960, 269, 1284, 1590, 3035, 1945, 1390, 538, 513, 3908, 942, 269, 901, 568, 938, 10279, 1107, 513, 10279, 602, 1169, 812, 610, 4807, 1058, 7703, 269, 13689, 593, 875, 713, 10279, 786, 581, 581, 731, 267, 649, 949, 2161, 2436, 713, 1268, 729, 3811, 610, 711, 269, 769, 513, 1433, 519, 1158, 968, 338, 15471, 892, 729, 3989, 607, 513, 15028, 1267, 610, 24714, 585, 10678, 998, 519, 9740, 540, 3853, 269, 2334, 568, 267, 952, 835, 1140, 1622, 513, 5551, 3804, 998, 9740, 267, 646, 610, 1352, 666, 581, 2808, 607, 513, 3811, 835, 563, 4517, 519, 1152, 1259, 547, 3035, 707, 3853, 568, 998, 2182, 960, 269, 3509, 1004, 5581, 519, 2262, 968, 338, 15471, 892, 607, 1373, 3638, 267, 799, 1797, 2348, 513, 1390, 2179, 540, 2724, 543, 26539, 3407, 2326, 269, 27009, 713, 4214, 540, 1967, 568, 2219, 540, 607, 711, 519, 1034, 3617, 1317, 972, 568, 811, 547, 1967, 982, 1175, 1373, 14547, 610, 2442, 563, 296, 1589, 1967, 1797, 547, 14902, 1419, 543, 1454, 267, 547, 3094, 519, 2463, 540, 10995, 1004, 543, 519, 15754, 540, 1453, 267, 547, 7118, 519, 7071, 540, 9237, 1814, 625, 543, 22036, 519, 20729, 531, 540, 7301, 3659, 267, 547, 5660, 5898, 267, 547, 1265, 519, 1655, 538, 1866, 267, 547, 4734, 519, 1158, 513, 3787, 1732, 267, 2436, 676, 513, 2635, 1126, 267, 513, 4677, 15429, 610, 513, 28099, 14855, 1514, 2783, 267, 547, 917, 1256, 835, 1272, 814, 3826, 1117, 4443, 1317, 596, 723, 5030, 563, 306, 15471, 1281, 711, 1175, 14393, 1529, 3585, 4755, 267, 855, 596, 723, 547, 2322, 3833, 513, 2603, 540, 4674, 883, 7175, 3054, 610, 707, 3785, 547, 3914, 971, 513, 1448, 269, 898, 568, 4061, 3020, 602, 519, 2262, 968, 338, 15471, 892, 4358, 609, 968, 338, 5608, 786, 1152, 581, 1354, 968, 1740, 892, 4358, 609, 968, 342, 892, 538, 606, 9904, 1227, 268, 23912, 1747, 899, 513, 8675, 269, 0, 307, 841, 568, 9425, 1279, 543, 3109, 267, 609, 9018, 2766, 17207, 17618, 512, 5792, 543, 536, 23912, 609, 3043, 269, 2991, 2469, 6177, 532, 593, 6777, 3333, 3996, 585, 519, 1101, 942, 630, 320, 2110, 24920, 540, 513, 4563, 2275, 11474, 19529, 1228, 324, 543, 513, 8832, 1744, 686, 651, 264, 594, 18188, 1394, 547, 16855, 267, 12638, 9814, 593, 519, 10153, 5889, 8305, 334, 1062, 543, 1187, 2053, 1185, 609, 519, 5017, 269, 23883, 538, 5162, 267, 621, 568, 513, 5462, 5083, 21838, 540, 1507, 5017, 543, 11864, 630, 290, 1228, 543, 2311, 330, 8657, 476, 1220, 273, 1040, 634, 4775, 568, 5594, 536, 992, 1676, 609, 513, 12882, 22935, 5637, 695, 686, 7719, 849, 723, 513, 10058, 8184, 269, 898, 5526, 899, 811, 540, 513, 3043, 1899, 1657, 519, 30810, 540, 519, 9633, 538, 519, 14522, 5017, 267, 1247, 938, 6177, 2731, 1175, 2982, 7522, 3043, 1657, 12882, 22935, 982, 519, 7187, 695, 686, 651, 267, 855, 814, 513, 1804, 2212, 538, 605, 1602, 2389, 542, 547, 922, 1560, 630, 6518, 568, 519, 4183, 602, 3947, 713, 6177, 922, 2012, 1040, 2961, 16622, 5387, 6208, 1118, 695, 686, 7719, 2189, 1851, 1780, 518, 1149, 269, 12882, 3532, 331, 3768, 6819, 8184, 267, 3976, 12209, 1419, 25649, 269, 22947, 568, 16190, 543, 3768, 6819, 593, 13719, 4028, 13617, 20054, 269, 1703, 616, 1079, 2010, 540, 695, 686, 651, 538, 3345, 3013, 267, 519, 2845, 3455, 3650, 695, 686, 651, 543, 519, 7187, 695, 686, 651, 269, 634, 7187, 695, 686, 651, 568, 3677, 982, 519, 2845, 3455, 3650, 695, 686, 651, 267, 5493, 518, 12457, 1657, 267, 543, 18219, 536, 2683, 269, 16890, 538, 22947, 630, 303, 9281, 264, 14439, 519, 8298, 3455, 3650, 1744, 686, 651, 607, 513, 5871, 16819, 538, 6008, 788, 13207, 710, 269, 4279, 27578, 1744, 686, 651, 28469, 3780, 2300, 889, 3218, 267, 5084, 645, 9281, 16960, 279, 267, 476, 3066, 270, 1015, 270, 1001, 273, 267, 2274, 760, 345, 580, 267, 5125, 267, 4569, 5362, 10925, 2763, 3267, 8832, 1744, 686, 651, 630, 341, 264, 30345, 1014, 27578, 1744, 686, 651, 630, 341, 264, 19164, 27578, 1744, 686, 651, 630, 341, 264, 7489, 27578, 1744, 686, 651, 630, 341, 264, 14480, 4802, 630, 320, 264, 1948, 338, 784, 12704, 1948, 10139, 518, 710, 269, 1452, 1780, 518, 710, 5017, 616, 6353, 676, 513, 1804, 2212, 267, 513, 19756, 581, 752, 602, 568, 17208, 1496, 5889, 22935, 316, 634, 1079, 2249, 666, 16937, 689, 519, 3791, 3018, 540, 4728, 998, 2394, 267, 2161, 267, 3735, 4989, 630, 893, 3328, 1040, 17421, 281, 20913, 543, 25795, 28225, 661, 28698, 344, 269, 634, 7187, 695, 686, 651, 849, 814, 513, 811, 3573, 678, 2794, 15429, 267, 513, 12779, 2539, 8260, 1043, 630, 329, 1177, 264, 1282, 519, 5162, 267, 543, 513, 7522, 518, 3109, 11132, 9633, 602, 1281, 711, 8831, 769, 8184, 267, 4585, 585, 3043, 15649, 538, 519, 12209, 269, 634, 7187, 3043, 2275, 27547, 695, 686, 651, 610, 3043, 8573, 22981, 695, 686, 651, 630, 292, 1755, 21306, 639, 678, 6269, 22088, 1070, 568, 513, 695, 686, 651, 1336, 538, 3819, 555, 1941, 321, 2313, 267, 10859, 17393, 1068, 267, 543, 1930, 1035, 29716, 28816, 538, 7532, 4000, 689, 5045, 9456, 3162, 20528, 543, 7013, 18629, 547, 25157, 15660, 1206, 23481, 2012, 16033, 919, 519, 4436, 2067, 626, 543, 24413, 661, 706, 731, 681, 6686, 653, 749, 907, 589, 5458, 7064, 547, 513, 3659, 585, 1818, 713, 8929, 2009, 269, 20661, 616, 12050, 569, 25549, 609, 513, 11100, 540, 3109, 267, 3043, 543, 12457, 267, 543, 616, 3226, 17736, 545, 6681, 538, 8184, 269, 1744, 686, 7719, 269, 17397, 2201, 476, 2767, 8734, 476, 1708, 271, 269, 17421, 476, 278, 269, 631, 2532, 568, 3109, 609, 3043, 8473, 267, 3915, 568, 5230, 543, 5594, 554, 10541, 269, 4340, 547, 16890, 538, 22947, 4199, 267, 519, 2698, 9960, 2551, 2450, 540, 713, 2249, 568, 476, 278, 267, 1822, 267, 1822, 9960, 5017, 269, 30557, 1657, 621, 729, 513, 7187, 695, 686, 651, 12882, 513, 2392, 2218, 5152, 12704, 609, 513, 3109, 3750, 2173, 2532, 602, 3006, 13793, 338, 1472, 25181, 14522, 538, 519, 5162, 269, 13517, 269, 21079, 267, 19074, 543, 22120, 12882, 538, 602, 1931, 256, 16511, 725, 543, 17148, 540, 6206, 26335, 269, 29114, 568, 1279, 267, 3109, 267, 543, 3043, 24737, 3022, 269, 7187, 695, 686, 651, 5288, 2845, 3455, 3650, 695, 686, 651, 269, 1358, 5889, 557, 3893, 513, 2370, 711, 577, 593, 741, 581, 752, 1572, 513, 9723, 658, 5694, 267, 799, 2337, 873, 5838, 11318, 12882, 22935, 22630, 1532, 617, 1221, 267, 3109, 2173, 24216, 6512, 527, 540, 1930, 2127, 267, 1312, 6917, 543, 28180, 269, 8832, 1744, 686, 651, 17421, 15894, 281, 27050, 700, 864, 344, 269, 27629, 18071, 513, 3043, 13617, 15429, 593, 519, 9018, 8184, 17207, 607, 1134, 607, 922, 3382, 1206, 269, 5637, 695, 686, 7719, 849, 723, 513, 10058, 8184, 269, 4706, 12209, 616, 3109, 609, 3043, 15649, 267, 543, 922, 2766, 568, 3109, 609, 3043, 15174, 269, 4563, 609, 3043, 27578, 1744, 686, 7719, 723, 7361, 556, 1563, 741, 2156, 617, 543, 1631, 1491, 1416, 540, 519, 8832, 1744, 686, 651, 28469, 3780, 256, 1862, 6140, 513, 1906, 1977, 7108, 21129, 577, 8184, 7125, 543, 513, 19625, 540, 12457, 9697, 18346, 803, 12976, 689, 26965, 269, 4934, 518, 2766, 17207, 17618, 512, 5792, 543, 536, 23912, 609, 3043, 15649, 267, 543, 513, 18632, 12457, 1394, 568, 1862, 17166, 267, 3735, 4989, 630, 11315, 3328, 3738, 12779, 12457, 896, 30672, 547, 938, 1858, 3406, 29755, 3109, 9633, 2066, 922, 3068, 17736, 545, 6681, 538, 8184, 4199, 267, 519, 2845, 3455, 3650, 1744, 686, 651, 3738, 513, 1862, 4000, 281, 694, 5045, 20528, 267, 524, 18629, 543, 524, 28950, 807, 547, 25157, 1421, 10355, 20641, 267, 1118, 909, 519, 13557, 540, 519, 8832, 1744, 686, 651, 6029, 536, 18732, 2630, 5130, 256, 631, 2532, 2066, 922, 3068, 630, 1934, 12898, 16217, 21961, 2845, 3455, 3650, 1744, 686, 651, 543, 519, 8832, 630, 1862, 2334, 3006, 13793, 338, 1472, 25181, 14522, 538, 519, 5162, 18219, 536, 2683, 610, 513, 8832, 1744, 686, 651, 23839, 1862, 3487, 21871, 17736, 545, 6681, 538, 8184, 4199, 267, 519, 2845, 3455, 3650, 1744, 686, 651, 267, 630, 28469, 3780, 2300, 889, 3218, 3738, 568, 513, 5462, 5083, 21838, 540, 5017, 256, 22947, 267, 4585, 585, 3043, 15649, 267, 543, 12779, 3490, 540, 2215, 2456, 267, 11495, 8184, 269, 16819, 609, 5521, 607, 10352, 849, 4857, 607, 513, 8832, 1744, 686, 651, 630, 16402, 21306, 639, 678, 6269, 22088, 3738, 6177, 7125, 546, 756, 2273, 2593, 269, 589, 4759, 540, 519, 8832, 1744, 686, 651, 267, 5493, 518, 12457, 1657, 267, 543, 2766, 1862, 3117, 30679, 6681, 13617, 3046, 22613, 519, 3490, 540, 3915, 1279, 1780, 518, 710, 13557, 540, 519, 630, 3738, 1862, 14339, 757, 543, 1507, 5017, 543, 11864, 630, 595, 1228, 543, 2311, 330, 8657, 476, 1220, 273, 3738, 602, 3006, 13793, 338, 1472, 25181, 538, 269, 3738, 6177, 7125, 593, 546, 756, 2273, 2593, 12457, 1532, 617, 1221, 267, 3109, 2173, 24216, 6512, 527, 540, 1930, 2127, 267, 1312, 6917, 543, 28180, 1934, 12898, 16217, 21961, 1744, 686, 651, 256, 2060, 3043, 15174, 1744, 686, 7719, 723, 7361, 556, 1563, 741, 2156, 617, 543, 1631, 1491, 1416, 540, 519, 1744, 686, 651, 269, 3767, 519, 4279, 27578, 1744, 686, 651, 610, 8832, 1744, 686, 651, 267, 630, 28469, 3780, 2300, 889, 3218, 3738, 3592, 3738, 19679, 6921, 902, 3043, 269, 670, 10541, 693, 519, 1439, 267, 543, 513, 19625, 540, 12457, 9697, 18346, 803, 12976, 689, 3791, 269, 715, 5535, 267, 3109, 9633, 2066, 922, 3068, 513, 12882, 22935, 8832, 3043, 2275, 27547, 1744, 686, 651, 630, 16402, 21306, 639, 678, 6269, 22088, 6177, 269, 27824, 569, 20641, 267, 1118, 909, 519, 13557, 540, 519, 1744, 686, 651, 1920, 907, 17392, 1315, 16186, 18219, 269, 4563, 3750, 2173, 2532, 602, 3006, 13793, 338, 1472, 25181, 14522, 538, 519, 12209, 568, 30385, 1744, 686, 651, 1412, 338, 2732, 7064, 547, 513, 3659, 585, 1818, 713, 8929, 2009, 6371, 954, 4944, 619, 539, 11953, 1862, 769, 476, 277, 2477, 14411, 267, 4516, 1923, 5130, 1923, 32588, 476, 7785, 7825, 535, 275, 568, 930, 1448, 581, 5185, 609, 12882, 22935, 27401, 8832, 1744, 686, 651, 609, 5521, 607, 10352, 4775, 568, 5594, 536, 992, 1676, 609, 513, 11100, 540, 3109, 267, 3043, 543, 267, 256, 31541, 585, 1818, 713, 8929, 2009, 8184, 7125, 543, 513, 18632, 12457, 1394, 1744, 686, 7719, 946, 7226, 269, 717, 534, 335, 2544, 281, 4279, 27578, 1744, 686, 651, 610, 8832, 1744 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6402, 538, 5616, 779, 9612, 5422, 11778, 9664, 630, 306, 2207, 303, 264, 616, 3335, 4544, 538, 2681, 1317, 713, 2681, 729, 6074, 676, 519, 27428, 540, 5616, 267, 32632, 8525, 543, 5395, 613, 344, 5696, 514, 267, 950, 789, 941, 8888, 519, 1101, 4528, 540, 519, 3406, 2599, 538, 519, 3735, 476, 1960, 271, 338, 563, 4263, 519, 942, 267, 4544, 729, 6074, 607, 519, 9949, 2681, 585, 6402, 1317, 621, 3177, 513, 1164, 1377, 540, 4334, 609, 519, 824, 4778, 593, 519, 2985, 267, 1818, 621, 2653, 585, 3755, 547, 10646, 4945, 762, 6402, 689, 824, 1257, 593, 519, 2985, 563, 12234, 267, 4544, 729, 513, 1455, 2681, 1031, 585, 5409, 31904, 593, 519, 1357, 693, 602, 942, 267, 865, 621, 729, 513, 5432, 3903, 585, 3755, 269, 3683, 942, 267, 519, 2681, 4544, 814, 1831, 2404, 609, 6402, 593, 519, 1357, 267, 543, 1082, 7270, 543, 3406, 9817, 267, 1519, 5616, 267, 29078, 3136, 547, 946, 4544, 607, 519, 9949, 2681, 585, 5409, 31904, 269, 1717, 267, 930, 7270, 543, 9858, 949, 3442, 547, 946, 1114, 4778, 585, 6402, 538, 1931, 547, 6474, 519, 3135, 779, 32107, 610, 547, 1711, 513, 811, 2189, 3308, 1995, 585, 3755, 563, 2467, 568, 1100, 8471, 3044, 585, 519, 2681, 540, 5409, 31904, 593, 519, 1357, 267, 543, 1114, 7270, 543, 9858, 949, 3442, 547, 946, 1114, 4778, 1759, 593, 741, 1367, 7375, 610, 32107, 269, 1717, 267, 930, 4778, 616, 811, 4122, 1031, 982, 1866, 267, 543, 1978, 4778, 723, 1831, 2404, 609, 1808, 2010, 540, 6402, 610, 3527, 563, 2690, 1383, 267, 538, 1840, 547, 4544, 824, 4778, 971, 607, 13711, 267, 3039, 267, 543, 2699, 616, 849, 4749, 1031, 269, 769, 930, 2665, 267, 1114, 4778, 949, 581, 1031, 547, 5815, 1114, 2010, 540, 6402, 267, 971, 607, 4544, 585, 3044, 6402, 267, 2699, 585, 6402, 602, 1291, 547, 5007, 4609, 267, 543, 3039, 585, 6402, 602, 5815, 2318, 3527, 610, 21533, 563, 1103, 1840, 267, 972, 616, 10333, 4808, 602, 4363, 1210, 1164, 9762, 2858, 4778, 585, 1257, 543, 6402, 267, 3226, 585, 3755, 609, 3308, 23043, 269, 898, 779, 1271, 585, 7270, 547, 2015, 519, 2115, 540, 782, 3755, 950, 7446, 4778, 585, 6402, 543, 824, 2609, 593, 519, 2985, 563, 763, 2622, 22453, 5680, 3117, 24832, 630, 310, 274, 290, 264, 568, 519, 1292, 3919, 602, 15565, 10333, 4808, 585, 519, 1357, 269, 634, 654, 274, 290, 568, 606, 3486, 2146, 602, 10953, 1357, 4441, 543, 4808, 267, 1519, 519, 5680, 12474, 29456, 13832, 630, 310, 7563, 294, 1916, 310, 7563, 294, 568, 513, 1305, 540, 4808, 585, 1818, 1357, 1543, 811, 3015, 547, 1004, 609, 9124, 267, 1519, 3308, 267, 17391, 267, 2168, 267, 4633, 267, 5042, 267, 543, 14715, 9124, 269, 634, 4808, 1683, 1808, 7840, 585, 1818, 1357, 1543, 6544, 22133, 267, 1766, 762, 267, 24669, 267, 543, 7347, 267, 543, 616, 6896, 883, 1614, 2157, 540, 14883, 766, 281, 589, 267, 21191, 267, 543, 589, 8150, 563, 4407, 2622, 22453, 5680, 3117, 24832, 630, 310, 274, 290, 264, 1281, 711, 4363, 513, 1808, 2681, 585, 5409, 31904, 267, 855, 621, 1281, 1683, 4808, 585, 4180, 602, 1257, 543, 6402, 616, 3362, 10646, 762, 689, 824, 1543, 593, 519, 2985, 563, 763, 654, 7563, 294, 4808, 4363, 1210, 513, 2681, 4334, 5223, 540, 693, 2547, 476, 275, 269, 276, 281, 272, 585, 3339, 1257, 543, 476, 274, 281, 272, 585, 1804, 1257, 267, 543, 849, 1683, 5583, 593, 519, 4334, 5223, 585, 824, 2609, 267, 971, 607, 6402, 543, 26333, 269, 634, 1445, 540, 519, 654, 7563, 294, 4808, 568, 593, 4180, 602, 782, 3755, 267, 1519, 1346, 609, 3308, 23043, 267, 616, 2111, 547, 13498, 543, 2170, 609, 1357, 1543, 538, 513, 1259, 602, 568, 3015, 543, 8537, 269, 1656, 4544, 7990, 9985, 13352, 519, 7355, 585, 1569, 7441, 640, 543, 538, 1816, 4369, 269, 0, 17746, 2315, 540, 5027, 31937, 585, 31625, 14723, 8677, 1210, 590, 2793, 303, 12508, 454, 5591, 774, 3518, 333, 841, 12232, 454, 15307, 629, 7667, 519, 4719, 3961, 540, 7693, 8677, 814, 1044, 2808, 1898, 585, 7863, 2030, 9742, 518, 543, 16027, 2924, 267, 3226, 538, 3384, 2477, 899, 12868, 269, 5027, 31937, 1210, 7636, 12508, 568, 1271, 547, 2285, 606, 796, 3711, 27631, 8984, 4806, 607, 513, 3407, 1907, 585, 4719, 8446, 269, 769, 713, 1353, 267, 5216, 17266, 715, 16197, 582, 728, 2549, 680, 1881, 2717, 2096, 6973, 1143, 630, 306, 2793, 303, 264, 12508, 941, 2919, 543, 4294, 547, 31937, 476, 2537, 8677, 540, 31625, 14723, 269, 2717, 2096, 6973, 1143, 6176, 12474, 630, 303, 2975, 264, 9571, 538, 1142, 29194, 24132, 689, 476, 271, 269, 1691, 547, 476, 271, 269, 3607, 609, 606, 3328, 540, 476, 271, 269, 1704, 269, 634, 3328, 540, 5444, 4763, 729, 476, 271, 269, 736, 1851, 782, 8677, 585, 2698, 590, 2793, 303, 12508, 269, 589, 29981, 3529, 729, 13604, 9112, 1759, 593, 741, 1024, 28437, 8464, 585, 5697, 3670, 12508, 267, 799, 9674, 519, 476, 2537, 8677, 883, 1614, 2101, 2516, 269, 634, 12440, 15538, 540, 476, 273, 267, 476, 276, 610, 476, 1626, 8677, 269, 634, 5027, 9416, 21646, 941, 12261, 883, 3854, 5022, 8204, 4527, 543, 9000, 540, 27446, 267, 543, 789, 7000, 519, 1808, 3961, 540, 2947, 8677, 269, 589, 1297, 540, 8677, 22234, 519, 1482, 5027, 31937, 12632, 10834, 741, 2673, 4719, 3845, 269, 7926, 327, 965, 891, 590, 2793, 303, 12508, 941, 711, 2111, 547, 10646, 1142, 3099, 2687, 547, 922, 2189, 10246, 997, 5888, 267, 713, 1353, 1223, 4196, 607, 16861, 1344, 547, 3715, 4719, 9416, 21646, 540, 31625, 14723, 8677, 538, 12868, 269, 5381, 2090, 538, 519, 2104, 786, 4324, 689, 519, 590, 2793, 303, 1336, 538, 713, 1353, 563, 577, 8270, 14723, 267, 5027, 31937, 267, 590, 2793, 303, 269, 0, 1432, 568, 606, 6575, 7471, 6437, 888, 1103, 8551, 268, 18204, 3603, 15099, 267, 519, 6575, 1831, 519, 1935, 547, 3450, 543, 519, 6174, 585, 1565, 269, 4841, 2743, 12242, 1565, 6859, 950, 789, 4497, 538, 519, 3860, 1184, 547, 2263, 4296, 1063, 606, 1148, 1106, 543, 1776, 1641, 1858, 547, 2744, 3152, 1620, 538, 1312, 563, 1432, 616, 519, 3029, 540, 6575, 5610, 888, 5804, 12470, 564, 2982, 267, 547, 14364, 267, 547, 7206, 267, 972, 616, 1082, 2081, 547, 1376, 547, 6451, 519, 1148, 883, 707, 4245, 593, 707, 1378, 269, 1411, 666, 849, 3914, 856, 547, 6575, 3919, 538, 707, 1858, 269, 1703, 616, 1082, 1875, 17416, 3906, 4712, 547, 4217, 7855, 607, 789, 2263, 6575, 5610, 563, 1432, 616, 1883, 4441, 538, 1148, 888, 763, 8551, 11621, 6257, 1018, 1169, 772, 2529, 269, 2875, 1058, 917, 543, 581, 2111, 547, 538, 7544, 267, 2575, 267, 16222, 267, 543, 519, 3308, 6575, 269, 1452, 11621, 616, 606, 3801, 547, 11904, 267, 538, 10512, 2474, 267, 519, 1871, 543, 2956, 540, 519, 6575, 585, 519, 3872, 1134, 5630, 540, 938, 1762, 1004, 543, 938, 2197, 563, 1432, 568, 519, 2956, 540, 6575, 7471, 6437, 888, 9209, 6044, 2337, 1453, 609, 519, 1646, 540, 5179, 1983, 267, 1893, 1983, 267, 1514, 1983, 267, 3375, 6194, 267, 1981, 23824, 267, 543, 6427, 4369, 269, 10439, 6575, 4001, 6267, 827, 2681, 267, 11768, 267, 5133, 267, 543, 3666, 281, 782, 2553, 602, 616, 2556, 538, 14245, 630, 6665, 783, 267, 3059, 264, 540, 4081, 960, 563, 1432, 616, 519, 2947, 623, 779, 540, 6575, 5610, 888, 2704, 869, 803, 547, 6338, 596, 547, 519, 476, 276, 623, 779, 540, 519, 3860, 1184, 267, 799, 594, 3494, 547, 581, 11613, 1898, 547, 519, 1967, 540, 1022, 3860, 20089, 1100, 2339, 519, 5420, 269, 1358, 616, 281, 32185, 267, 6657, 267, 3131, 14651, 267, 4793, 1466, 267, 543, 32425, 563, 1432, 616, 519, 2640, 540, 6575, 5610, 888, 24916, 2870, 513, 1187, 543, 2502, 1259, 547, 1205, 1053, 547, 1451, 543, 10110, 1007, 1570, 267, 6575, 5610, 814, 1082, 2640, 269, 634, 6575, 948, 1453, 1020, 3860, 1966, 9010, 1983, 267, 5179, 1983, 267, 1893, 1983, 267, 1514, 1983, 267, 3375, 6194, 1983, 267, 1981, 23824, 1983, 543, 6427, 4369, 563, 1432, 568, 519, 1909, 540, 6575, 5610, 538, 519, 476, 2641, 560, 2540, 888, 7437, 519, 1646, 540, 2565, 3206, 267, 5876, 267, 9345, 543, 5647, 267, 6575, 5610, 3091, 513, 3532, 1259, 547, 1711, 968, 320, 1007, 1565, 1604, 5812, 609, 519, 5042, 543, 22192, 7569, 540, 519, 476, 2641, 560, 2540, 3034, 8005, 11887, 519, 1871, 540, 1148, 888, 1103, 519, 2518, 2796, 267, 513, 4062, 540, 1148, 779, 1871, 568, 849, 5462, 676, 519, 1148, 4308, 619, 543, 519, 26847, 602, 2099, 5159, 269, 898, 568, 849, 6766, 676, 519, 1272, 540, 519, 11247, 267, 543, 824, 2053, 267, 519, 7376, 779, 4598, 538, 24218, 543, 2923, 3795, 563, 6701, 972, 1148, 4441, 888, 30210, 8551, 11621, 585, 5398, 12140, 267, 2776, 11779, 7124, 3414, 6103, 3828, 10679, 269, 634, 3557, 8274, 540, 4065, 630, 306, 23813, 264, 7550, 519, 4993, 8551, 11621, 585, 5398, 12140, 267, 2776, 11779, 7124, 3414, 6103, 3828, 10679, 630, 6635, 1206, 11621, 264, 593, 5130, 476, 280, 267, 476, 1001, 280, 563, 1432, 666, 649, 1451, 689, 1148, 7471, 1788, 888, 9209, 21091, 4804, 630, 288, 6579, 264, 568, 513, 3450, 19543, 2203, 799, 568, 1759, 593, 1565, 2048, 10843, 519, 6575, 685, 543, 2048, 5976, 519, 6575, 685, 281, 621, 568, 513, 1184, 1141, 1148, 3587, 519, 5420, 540, 3450, 19543, 267, 513, 1883, 547, 1620, 2035, 1369, 1022, 1641, 540, 519, 6437, 269, 901, 24889, 609, 519, 23913, 1565, 1935, 563, 1692, 798, 596, 11753, 1148, 883, 2542, 888, 2080, 616, 513, 1906, 2241, 2081, 594, 11753, 519, 6575, 538, 1250, 4928, 912, 268, 966, 3041, 308, 3201, 8121, 4811, 563, 268, 11559, 6340, 267, 6947, 267, 543, 6863, 1646, 1983, 563, 268, 22548, 1518, 4555, 267, 2093, 267, 543, 4606, 676, 5373, 543, 21458, 563, 268, 3619, 4514, 538, 4559, 540, 1353, 563, 268, 11559, 1909, 4730, 563, 268, 6875, 7140, 538, 519, 968, 14653, 10160, 892, 547, 1174, 1915, 563, 1432, 568, 606, 6575, 5610, 11285, 888, 297, 984, 13517, 281, 8121, 4811, 21850, 9680, 6938, 3582, 9501, 4488, 24361, 8780, 269, 32577, 2975, 674, 7419, 290, 3582, 269, 7201, 4287, 1683, 6044, 543, 1489, 585, 2875, 1967, 543, 9740, 585, 782, 1053, 538, 9344, 918, 1107, 476, 279, 538, 1931, 547, 1628, 6940, 585, 519, 13374, 547, 519, 6281, 6575, 3292, 563, 1692, 616, 519, 6575, 7471, 883, 519, 6437, 888, 289, 23565, 9142, 12034, 519, 6575, 607, 513, 1483, 4316, 543, 814, 1500, 6575, 5610, 519, 1445, 540, 938, 5692, 3948, 269, 769, 741, 1378, 1318, 267, 519, 6575, 24917, 1271, 1983, 543, 6536, 2620, 267, 2123, 3206, 267, 543, 950, 789, 616, 7471, 883, 4295, 5396, 267, 789, 666, 4497, 811, 1053, 543, 2333, 4081, 9740, 563, 1432, 616, 519, 1614, 2609, 540, 8551, 5610, 888, 4407, 519, 1101, 1079, 2609, 540, 6575, 5610, 1445, 593, 519, 4483, 540, 2035, 543, 1983, 1063, 519, 6575, 6437, 543, 4081, 4441, 267, 713, 3791, 3693, 568, 827, 519, 14820, 540, 5159, 543, 519, 1514, 267, 3929, 267, 543, 11095, 2640, 540, 3695, 519, 6575, 563, 1692, 547, 1921, 519, 6575, 547, 4295, 5396, 888, 21010, 8551, 547, 6206, 16610, 2290, 540, 519, 14724, 2081, 547, 2253, 1818, 4296, 1063, 6575, 543, 4295, 5396, 568, 547, 5431, 1141, 6863, 543, 1883, 2035, 16937, 269, 968, 19368, 892, 538, 1148, 267, 585, 1383, 267, 4016, 547, 519, 3448, 1769, 1145, 610, 14334, 540, 513, 2681, 282, 4816, 4544, 814, 513, 14402, 1871, 982, 26010, 4544, 563, 1432, 779, 519, 1655, 1259, 547, 798, 6575, 5610, 888, 303, 23035, 856, 15441, 16853, 543, 4070, 1957, 543, 10213, 1053, 547, 968, 3286, 1205, 3860, 892, 568, 711, 6575, 5610, 269, 1656, 9444, 568, 519, 6587, 1439, 540, 519, 8552, 267, 1141, 1053, 616, 2016, 865, 1082, 3652, 543, 6724, 602, 789, 1451, 2370, 811, 982, 1739, 8846, 610, 7801, 3330, 519, 3515, 269, 0, 288, 5299, 540, 713, 960, 729, 2139, 593, 519, 1857, 1357, 543, 814, 1044, 12873, 538, 519, 10158, 3724, 10724, 269, 634, 7001, 7389, 689, 476, 1001, 279, 282, 596, 666, 849, 3643, 519, 3312, 15745, 563, 763, 3758, 1826, 568, 454, 16954, 1637, 543, 12025, 17392, 540, 9540, 808, 990, 1014, 18858, 13568, 589, 3122, 6950, 454, 2171, 1459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2486, 1040, 769, 602, 2631, 267, 513, 2565, 1514, 2257, 7472, 27964, 602, 17854, 9299, 343, 529, 540, 19802, 689, 513, 2565, 1483, 626, 2990, 602, 6212, 519, 3970, 1606, 15856, 725, 4810, 676, 519, 9601, 543, 28807, 782, 519, 7399, 17792, 676, 2291, 550, 1514, 4641, 269, 667, 639, 1088, 630, 1220, 272, 264, 849, 13187, 602, 519, 1184, 540, 21037, 267, 28735, 267, 543, 17091, 540, 1977, 6805, 1004, 676, 3864, 21152, 2141, 11478, 1927, 609, 7810, 640, 540, 1702, 269, 22353, 267, 952, 835, 11394, 547, 7753, 28735, 543, 17091, 538, 519, 17113, 267, 621, 568, 2556, 547, 7753, 16402, 1417, 878, 26381, 3098, 269, 901, 568, 519, 10747, 24117, 585, 513, 8644, 3130, 13898, 563, 13828, 667, 639, 1088, 630, 1220, 272, 264, 543, 717, 4592, 325, 690, 3241, 630, 1220, 277, 264, 896, 1467, 519, 2956, 540, 1620, 875, 1514, 7526, 1996, 7810, 640, 616, 1644, 547, 519, 2504, 540, 1702, 538, 5824, 3013, 269, 700, 7238, 14567, 630, 2735, 280, 264, 849, 8268, 713, 2856, 269, 4340, 547, 1864, 267, 12316, 2516, 543, 5924, 5049, 799, 3343, 547, 1628, 1480, 31414, 991, 513, 1826, 540, 1702, 602, 7028, 1514, 7004, 269, 1924, 267, 621, 568, 10502, 1851, 31345, 543, 23699, 6810, 540, 2486, 945, 616, 8149, 547, 1202, 4026, 1890, 602, 835, 9060, 1732, 2175, 585, 519, 7872, 540, 2679, 1702, 602, 6663, 711, 1152, 547, 4612, 267, 855, 849, 547, 1689, 519, 1158, 563, 3080, 666, 9959, 689, 1346, 2093, 602, 1202, 4026, 550, 2534, 10741, 7399, 585, 519, 11944, 540, 2565, 6436, 610, 267, 693, 2547, 267, 7957, 832, 1732, 12250, 543, 1514, 2175, 585, 519, 10825, 540, 1875, 13463, 28282, 545, 2093, 602, 2243, 519, 4567, 28943, 269, 6184, 4026, 1890, 849, 568, 606, 1271, 4090, 540, 519, 1686, 540, 10017, 269, 4340, 547, 632, 3288, 8776, 516, 630, 1960, 276, 1070, 7029, 547, 1514, 9620, 16881, 3157, 1141, 1514, 3744, 968, 321, 21392, 1174, 741, 4641, 543, 7753, 28639, 543, 5667, 2615, 881, 2093, 13455, 676, 5114, 776, 21274, 2324, 585, 519, 13418, 540, 519, 3532, 892, 630, 335, 269, 476, 2767, 1040, 1306, 606, 1383, 540, 713, 1184, 267, 632, 3288, 8776, 516, 630, 1960, 276, 264, 10530, 519, 2093, 543, 2853, 540, 21280, 2946, 6742, 6403, 269, 2755, 8165, 585, 3084, 7115, 267, 6742, 6403, 1031, 3864, 2093, 547, 10404, 1125, 1455, 28639, 563, 1103, 519, 1482, 1259, 267, 26436, 630, 1220, 278, 264, 6920, 602, 930, 540, 2101, 6963, 2827, 538, 10017, 941, 3812, 1369, 1360, 1808, 1514, 8658, 281, 1514, 26201, 563, 3725, 23728, 695, 1389, 909, 519, 6688, 602, 649, 946, 547, 1118, 2631, 540, 1995, 282, 621, 2982, 875, 5841, 855, 8903, 568, 519, 9668, 1063, 519, 2048, 785, 1339, 685, 543, 519, 2048, 25791, 685, 896, 16851, 267, 543, 519, 2534, 540, 4657, 1247, 16208, 519, 1158, 8761, 602, 938, 23141, 568, 1514, 998, 543, 998, 630, 303, 1046, 518, 267, 476, 1220, 278, 267, 533, 269, 476, 15704, 1916, 1103, 824, 1913, 267, 713, 1957, 11828, 519, 2856, 602, 7811, 28160, 1436, 568, 7543, 1510, 1514, 28160, 1436, 630, 528, 968, 25791, 1436, 540, 1379, 26158, 6184, 4026, 550, 2238, 543, 2565, 7029, 666, 17108, 28160, 1436, 540, 5626, 2257, 269, 901, 1957, 786, 2263, 713, 2856, 998, 606, 2079, 540, 519, 3140, 1646, 540, 23162, 10017, 563, 31142, 3013, 607, 667, 8817, 3131, 8327, 344, 454, 31142, 3013, 7902, 538, 1686, 607, 513, 1587, 540, 28735, 267, 21037, 267, 1016, 24503, 566, 267, 543, 14226, 269, 634, 1184, 540, 3864, 21037, 543, 1624, 738, 566, 540, 519, 4033, 20196, 568, 267, 519, 7087, 24447, 945, 5030, 538, 1018, 568, 1572, 3013, 1765, 3147, 1800, 569, 13054, 519, 4332, 540, 7073, 640, 630, 291, 639, 1088, 267, 476, 1960, 273, 1040, 3864, 7073, 640, 6896, 513, 1158, 9967, 540, 513, 3540, 1242, 968, 290, 10938, 892, 630, 292, 2202, 264, 14837, 1227, 9674, 689, 1016, 531, 1181, 968, 8110, 8327, 625, 892, 602, 621, 2813, 676, 10795, 21037, 538, 2012, 540, 31511, 269, 968, 25567, 320, 892, 729, 519, 1101, 968, 704, 8327, 344, 892, 602, 7073, 2342, 2813, 267, 543, 621, 3357, 547, 6228, 998, 21037, 630, 328, 4318, 1421, 513, 4108, 267, 4052, 267, 543, 10795, 1184, 540, 2258, 908, 519, 4033, 264, 543, 17091, 630, 328, 4318, 1421, 513, 9299, 343, 529, 540, 4638, 267, 24099, 267, 2797, 267, 2686, 267, 543, 2804, 28735, 1040, 769, 713, 2631, 267, 5824, 3013, 729, 27648, 607, 834, 320, 5348, 4038, 545, 543, 10316, 2528, 267, 513, 7810, 3557, 267, 513, 15672, 543, 8200, 24041, 689, 922, 4098, 267, 2094, 519, 8129, 540, 7073, 640, 257, 630, 291, 639, 1088, 267, 476, 1960, 273, 267, 533, 269, 476, 2004, 1916, 1103, 1776, 1259, 267, 22513, 663, 525, 630, 3192, 276, 264, 12651, 519, 2856, 540, 5824, 1977, 1686, 607, 513, 1686, 540, 13829, 267, 1141, 2789, 3029, 540, 5007, 28735, 616, 519, 1292, 4183, 269, 634, 2278, 6257, 2185, 3270, 540, 5007, 28735, 269, 3689, 267, 5007, 28735, 2919, 998, 1463, 19525, 8045, 676, 14082, 543, 5053, 7810, 1379, 3889, 602, 6322, 547, 26924, 7920, 14226, 676, 3935, 9088, 269, 2991, 9620, 585, 7115, 538, 519, 10125, 267, 513, 2034, 4806, 540, 9940, 28735, 610, 683, 4377, 11102, 1143, 10736, 5824, 1977, 2477, 883, 2959, 540, 3119, 2472, 13939, 998, 6127, 540, 5409, 7721, 680, 334, 2787, 630, 18034, 540, 3109, 543, 7087, 1004, 1040, 901, 1184, 21407, 519, 18642, 13250, 540, 3854, 2556, 547, 519, 11633, 7169, 269, 769, 519, 3791, 4806, 540, 8200, 16851, 267, 519, 3935, 6500, 9738, 14226, 540, 3119, 2200, 267, 855, 9415, 22713, 543, 519, 4483, 540, 3854, 547, 10125, 267, 5275, 519, 2504, 540, 606, 2804, 21045, 602, 1223, 581, 11843, 547, 519, 11440, 626, 24041, 834, 290, 10938, 1701, 769, 713, 3942, 267, 1082, 10125, 14754, 519, 5137, 540, 2703, 850, 834, 20139, 536, 28123, 12251, 625, 257, 1439, 15735, 609, 1582, 29027, 267, 855, 2141, 1016, 867, 3990, 547, 4914, 4690, 269, 634, 8772, 4806, 540, 2698, 22030, 267, 5702, 1644, 547, 4108, 28983, 4721, 267, 729, 6825, 676, 519, 29947, 540, 13829, 607, 5458, 30049, 625, 6905, 1852, 936, 4853, 267, 2883, 267, 5010, 267, 543, 1514, 21384, 630, 293, 1716, 663, 525, 267, 476, 3192, 276, 1916, 5472, 891, 3270, 3812, 1514, 543, 2804, 3889, 8547, 676, 5409, 7721, 680, 334, 2787, 540, 4074, 3196, 267, 7372, 1514, 17181, 267, 543, 21109, 540, 2596, 2797, 2924, 269, 11048, 267, 15746, 543, 14226, 2141, 17706, 13554, 609, 11685, 543, 27693, 538, 519, 11782, 269, 2290, 2027, 1383, 540, 1202, 4026, 1890, 1996, 5007, 28735, 729, 519, 23162, 7169, 563, 763, 23162, 7169, 454, 27001, 519, 476, 4198, 271, 338, 543, 476, 2735, 271, 338, 267, 4108, 28983, 4721, 6462, 676, 3345, 12677, 22030, 3262, 2429, 5824, 3013, 269, 2311, 519, 1482, 942, 267, 513, 26648, 2680, 1996, 5007, 28735, 3576, 1747, 281, 519, 4838, 540, 476, 4198, 280, 538, 18010, 269, 1280, 1082, 10010, 1996, 15746, 543, 28735, 267, 713, 2680, 729, 513, 4052, 1383, 602, 1256, 4057, 543, 896, 16467, 539, 2477, 1223, 4161, 22030, 543, 3343, 1514, 19802, 3564, 21341, 543, 1514, 16526, 563, 763, 5072, 540, 519, 476, 4198, 280, 4838, 666, 581, 14360, 547, 519, 1360, 4098, 540, 19525, 538, 18010, 269, 634, 6532, 729, 513, 4108, 543, 5010, 4099, 585, 519, 5053, 22477, 269, 2817, 19802, 538, 18010, 3576, 1747, 2663, 982, 11992, 538, 6239, 3013, 267, 543, 621, 729, 3533, 4553, 676, 3345, 12677, 28735, 269, 634, 5822, 2782, 585, 14412, 693, 519, 1439, 540, 476, 866, 628, 2540, 8507, 538, 519, 1439, 540, 519, 1062, 540, 1463, 28735, 676, 8050, 267, 799, 729, 8719, 676, 519, 1062, 540, 9940, 28735, 676, 519, 7330, 998, 971, 3800, 607, 519, 1773, 3430, 14821, 267, 519, 5137, 540, 772, 2529, 269, 4108, 6703, 538, 23162, 8513, 267, 543, 519, 5137, 540, 1082, 22864, 585, 3345, 12677, 11639, 630, 293, 1716, 663, 525, 267, 476, 1001, 273, 1916, 2750, 4156, 28735, 3366, 676, 519, 772, 2529, 269, 2968, 811, 7920, 1310, 519, 30222, 540, 4006, 2504, 543, 13143, 566, 269, 3345, 12677, 5411, 6417, 711, 1152, 11396, 267, 855, 849, 7580, 6810, 540, 23162, 4346, 269, 6969, 519, 4838, 540, 476, 4198, 280, 267, 772, 2529, 269, 3854, 1235, 11262, 476, 3445, 260, 540, 3167, 543, 7658, 874, 4577, 2533, 282, 476, 2004, 260, 540, 2489, 1857, 2533, 282, 543, 476, 2412, 260, 540, 4006, 2504, 630, 293, 1716, 663, 525, 267, 476, 1001, 273, 282, 590, 14575, 267, 476, 1220, 272, 282, 19248, 25377, 267, 476, 1220, 271, 1040, 769, 713, 2796, 267, 1079, 8789, 1514, 31324, 7153, 281, 513, 4617, 855, 28929, 3296, 602, 729, 28855, 1242, 676, 3345, 12677, 22030, 267, 543, 606, 23731, 8944, 602, 5433, 602, 23162, 24509, 566, 547, 519, 772, 2529, 269, 1131, 3870, 922, 2804, 4690, 543, 13218, 630, 293, 1716, 663, 525, 267, 476, 1001, 273, 1040, 1717, 267, 519, 811, 1271, 5823, 585, 1514, 9620, 1996, 22030, 538, 18010, 729, 519, 1909, 5129, 676, 630, 272, 264, 513, 1762, 2324, 1362, 602, 19500, 998, 16716, 543, 4830, 3906, 11461, 676, 24180, 543, 29450, 626, 6436, 267, 543, 630, 273, 264, 519, 28929, 6106, 540, 519, 1647, 1362, 267, 2523, 30921, 543, 1053, 11461, 676, 1480, 626, 1796, 9557, 630, 2704, 517, 810, 267, 476, 1960, 279, 282, 22513, 663, 525, 267, 476, 1001, 273, 282, 590, 14575, 267, 476, 1220, 272, 1916, 1103, 1249, 267, 621, 729, 519, 1647, 1362, 6106, 602, 5795, 513, 9097, 4183, 547, 18541, 607, 6829, 538, 519, 11156, 540, 519, 476, 2918, 628, 540, 5147, 11873, 630, 300, 990, 574, 1304, 334, 476, 2918, 632, 7325, 1470, 267, 631, 268, 2918, 268, 278, 1070, 799, 729, 606, 3355, 3948, 585, 13348, 5328, 267, 1480, 2065, 267, 543, 11180, 17050, 269, 2991, 519, 11802, 540, 519, 1234, 10964, 8136, 267, 631, 268, 2918, 268, 278, 8179, 547, 2936, 513, 1982, 540, 11180, 543, 4550, 21553, 704, 658, 626, 15024, 538, 1931, 547, 26924, 2797, 543, 2804, 7115, 269, 898, 729, 519, 5114, 540, 2199, 23731, 1105, 625, 543, 772, 2529, 269, 22030, 602, 2604, 323, 631, 268, 2918, 268, 278, 547, 1491, 811, 9097, 3527, 538, 1931, 547, 2981, 23162, 2486, 269, 1452, 811, 9097, 3800, 3769, 9097, 989, 337, 4115, 6963, 267, 3084, 1436, 540, 4914, 543, 6469, 2872, 267, 1533, 26771, 540, 4914, 4123, 543, 4346, 267, 543, 267, 6368, 267, 519, 10073, 540, 9709, 4346, 630, 2704, 517, 810, 267, 476, 1960, 279, 282, 22513, 663, 525, 267, 476, 1001, 273, 282, 590, 14575, 267, 476, 1220, 272, 282, 962, 25377, 267, 476, 1220, 280, 1916, 763, 23162, 7169, 729, 513, 1184, 1141, 1202, 4026, 550, 9620, 585, 3084, 19802, 30147, 6707, 2813, 513, 6252, 1514, 1931, 538, 13664, 4525, 5391, 23306, 676, 519, 1234, 10964, 8136, 1765, 11357, 8019, 11402, 7965, 950, 1368, 518, 18115, 553, 538, 1379, 13986, 547, 10994, 519, 1482, 2591, 602, 1082, 2022, 32728, 1388, 626, 2833, 540, 519, 14206, 2540, 5185, 281, 547, 3343, 513, 24180, 5912, 538, 513, 18807, 543, 896, 16467, 539, 2197, 563, 1103, 1931, 547, 10994, 519, 4161, 267, 23162, 4838, 2456, 6836, 547, 2333, 7607, 1247, 8165, 585, 2804, 6668, 543, 5786, 540, 1514, 16526, 269, 634, 12316, 2229, 6322, 547, 24905, 548, 18631, 1514, 5238, 543, 547, 2981, 519, 4346, 538, 1931, 547, 1711, 519, 1570, 543, 20748, 2175, 547, 3914, 25847, 630, 293, 1716, 663, 525, 267, 476, 1001, 273, 282, 962, 25377, 267, 476, 1220, 280, 1916, 9961, 713, 30137, 543, 1950, 2804, 1686, 267, 513, 3586, 6249, 814, 1044, 519, 6228, 540, 2804, 4566, 602, 4225, 1514, 2115, 630, 293, 1716, 663, 525, 267, 476, 1001, 273, 282, 19248, 25377, 267, 476, 1220, 271, 282, 962, 25377, 267, 476, 1220, 280, 1040, 769, 519, 2361, 540, 2069, 267, 2192, 3438, 2329, 729, 17515, 538, 476, 3422, 272, 267, 543, 811, 982, 476, 3583, 9945, 941, 2813, 1063, 476, 4198, 280, 543, 476, 2735, 280, 630, 2419, 5451, 557, 345, 267, 476, 1001, 272, 282, 2871, 611, 541, 18769, 267, 476, 1220, 276, 1040, 769, 519, 2361, 540, 1072, 4507, 267, 519, 5137, 540, 513, 1863, 267, 8471, 267, 543, 1857, 1072, 1062, 630, 514, 512, 30802, 609, 824, 2804, 3800, 264, 8329, 547, 519, 5786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2005, 1058, 2097, 607, 1100, 9983, 602, 519, 5313, 2229, 814, 14931, 922, 1259, 883, 1776, 6433, 267, 713, 835, 7133, 9937, 540, 5215, 540, 3885, 543, 12256, 563, 2690, 519, 2250, 1032, 610, 865, 267, 10867, 4542, 814, 1831, 5051, 2182, 547, 1265, 269, 589, 5988, 11291, 540, 2806, 321, 2714, 12594, 779, 4542, 28978, 519, 17732, 547, 519, 1448, 602, 3237, 616, 7836, 3108, 6117, 547, 1114, 8637, 3168, 585, 519, 4542, 789, 991, 547, 3049, 741, 1453, 563, 763, 24068, 7245, 10645, 713, 3018, 602, 621, 814, 1044, 3222, 540, 519, 17732, 585, 3275, 267, 1256, 1498, 8387, 5018, 621, 15597, 585, 519, 1101, 942, 538, 2904, 269, 634, 6519, 5600, 849, 1767, 519, 6433, 568, 835, 540, 922, 1283, 14422, 267, 2943, 621, 814, 6035, 1906, 267, 952, 1022, 267, 3435, 547, 3237, 3843, 547, 2061, 741, 12256, 689, 2469, 17237, 563, 763, 1034, 6654, 3070, 1131, 581, 547, 2759, 1394, 519, 2699, 11746, 7303, 3885, 689, 17034, 10867, 12596, 1500, 3544, 519, 2136, 2276, 269, 11569, 267, 519, 5253, 543, 10684, 10029, 779, 538, 2033, 4170, 585, 16865, 4542, 616, 835, 540, 519, 4128, 649, 723, 513, 17732, 538, 519, 1101, 1747, 563, 15152, 519, 1699, 3652, 267, 772, 2529, 269, 21625, 616, 711, 4847, 547, 1104, 10867, 4542, 14475, 538, 1034, 824, 2477, 267, 971, 607, 5125, 543, 519, 13814, 267, 1256, 952, 621, 10742, 519, 15111, 779, 1072, 543, 3106, 4441, 269, 769, 1249, 267, 4542, 2919, 538, 519, 3864, 5742, 568, 1419, 1732, 6484, 958, 982, 4542, 3812, 538, 519, 772, 2529, 269, 898, 568, 1447, 2693, 547, 1331, 9268, 14836, 543, 811, 2693, 547, 1331, 5214, 267, 16138, 5109, 5820, 267, 971, 607, 5144, 3170, 630, 553, 10353, 547, 2030, 2861, 9600, 1916, 763, 15111, 267, 2705, 267, 814, 4956, 547, 7333, 3864, 4542, 1317, 621, 3085, 1406, 2743, 519, 8116, 779, 21458, 4441, 269, 769, 835, 2013, 2063, 1032, 267, 585, 1383, 267, 519, 15111, 27416, 476, 10602, 267, 1822, 4559, 540, 10867, 4542, 14475, 538, 5125, 543, 16865, 883, 519, 772, 2529, 269, 1317, 519, 1587, 1705, 711, 1217, 5561, 602, 621, 8659, 1447, 982, 476, 272, 1984, 580, 1090, 540, 4401, 829, 476, 1911, 8477, 267, 2687, 547, 17217, 563, 1607, 568, 21494, 269, 1703, 814, 2760, 1044, 513, 4570, 24134, 585, 7333, 940, 10867, 4542, 602, 568, 1312, 1455, 2429, 519, 1964, 540, 519, 1158, 543, 1732, 585, 3384, 12256, 982, 1454, 540, 1018, 649, 3132, 1934, 269, 1809, 519, 1966, 568, 2523, 1093, 17257, 1631, 267, 950, 519, 1134, 5630, 540, 5215, 540, 1453, 568, 693, 1981, 1317, 972, 3884, 1406, 2614, 772, 2529, 269, 4542, 547, 979, 1472, 563, 763, 24068, 7245, 1590, 957, 5612, 543, 6749, 922, 24631, 1104, 6042, 547, 948, 3885, 538, 991, 269, 14568, 2943, 267, 8387, 1058, 16150, 519, 15111, 779, 21458, 4170, 15587, 543, 1450, 6800, 547, 3313, 585, 2933, 1018, 779, 1655, 585, 2933, 543, 741, 3885, 269, 0, 1432, 568, 23285, 888, 15771, 303, 630, 516, 15479, 633, 27099, 585, 15771, 303, 281, 15214, 3667, 2776, 15263, 528, 264, 568, 513, 4922, 268, 4310, 1930, 2707, 2489, 26928, 7097, 532, 1893, 602, 568, 2523, 14018, 585, 1357, 1646, 543, 666, 581, 11251, 883, 14103, 563, 301, 823, 267, 855, 1018, 1281, 602, 1611, 286, 1323, 1383, 912, 7078, 1948, 272, 1323, 2606, 1383, 454, 257, 5291, 2517, 4178, 9884, 274, 3820, 270, 15045, 270, 6255, 6447, 275, 1315, 331, 5366, 6155, 11575, 257, 11417, 3663, 334, 834, 17098, 267, 901, 568, 715, 6311, 17072, 10590, 3248, 21156, 540, 6266, 540, 12981, 547, 3977, 14103, 630, 553, 2938, 538, 595, 610, 3131, 331, 1070, 23285, 3817, 2270, 14103, 609, 11251, 3009, 602, 1281, 834, 31138, 257, 630, 514, 713, 2013, 267, 3977, 834, 17098, 267, 901, 568, 715, 6311, 17072, 10590, 1040, 634, 23285, 3009, 568, 20583, 538, 2027, 1376, 543, 1439, 4393, 5528, 454, 7474, 1450, 596, 547, 7914, 883, 543, 856, 540, 834, 15771, 303, 7154, 4799, 763, 7817, 1131, 4309, 519, 2164, 540, 4881, 602, 7097, 267, 855, 1131, 711, 917, 1018, 519, 5817, 3009, 729, 269, 1411, 666, 1256, 19022, 707, 1357, 7746, 547, 1184, 782, 707, 14103, 6119, 609, 23285, 267, 543, 1287, 972, 781, 2731, 1100, 1259, 602, 3755, 666, 2995, 1018, 596, 723, 909, 707, 19492, 557, 563, 763, 1655, 1919, 538, 1210, 23285, 616, 602, 621, 568, 5393, 2241, 585, 513, 30226, 518, 267, 855, 3091, 1082, 4359, 2934, 585, 513, 3318, 27732, 269, 5213, 1405, 581, 12922, 2542, 519, 1279, 1592, 540, 23285, 781, 2934, 269, 1411, 666, 7914, 538, 267, 538, 513, 2110, 942, 267, 543, 1376, 1603, 2241, 20072, 538, 513, 1906, 3108, 563, 7212, 23285, 781, 1646, 568, 5059, 593, 7746, 20933, 7097, 532, 267, 596, 666, 798, 1454, 811, 609, 621, 563, 8196, 6888, 2986, 23285, 454, 12179, 2251, 269, 23285, 568, 5631, 5059, 593, 7746, 20933, 7097, 532, 267, 865, 596, 666, 798, 4376, 1022, 824, 595, 22835, 1982, 666, 798, 267, 971, 607, 2445, 1106, 1239, 267, 5352, 6422, 2985, 1543, 267, 610, 6494, 543, 4309, 12897, 269, 1809, 23285, 666, 798, 1454, 811, 563, 2467, 616, 1614, 1292, 2127, 1141, 23285, 20072, 616, 1031, 563, 1607, 568, 519, 1034, 2757, 543, 1292, 3077, 2361, 585, 23285, 563, 2791, 991, 1614, 1919, 547, 1118, 713, 960, 269, 634, 23285, 16163, 518, 630, 290, 22835, 610, 7746, 9074, 1070, 513, 1357, 7746, 543, 513, 1357, 11422, 269, 1411, 991, 547, 2196, 519, 1357, 7746, 267, 609, 513, 4448, 23285, 10380, 269, 1411, 666, 1569, 519, 23285, 1982, 3977, 609, 513, 1357, 11422, 267, 13156, 519, 23285, 2985, 998, 519, 7746, 563, 5472, 891, 666, 2196, 593, 707, 1753, 3684, 952, 596, 616, 1175, 19234, 609, 23285, 5752, 563, 29688, 8333, 663, 1899, 7097, 532, 563, 2791, 666, 1118, 513, 23285, 7097, 547, 2196, 621, 1510, 1022, 7746, 610, 11422, 563, 2791, 1152, 991, 519, 23285, 16163, 518, 547, 946, 621, 713, 1259, 269, 901, 1826, 540, 6165, 568, 4998, 585, 20072, 5781, 13401, 1210, 524, 1258, 630, 517, 2608, 333, 1460, 610, 12380, 264, 610, 17130, 2480, 1117, 17526, 630, 517, 8837, 1916, 4322, 20072, 666, 849, 581, 1031, 585, 2241, 1257, 4393, 4247, 269, 6423, 519, 3296, 827, 16710, 1899, 6165, 540, 23285, 1721, 811, 1344, 563, 29688, 16240, 18376, 3156, 563, 15771, 303, 568, 4440, 711, 519, 1360, 1655, 1893, 547, 1711, 513, 18376, 3498, 609, 513, 21370, 3593, 8818, 267, 855, 952, 596, 917, 23285, 1360, 1134, 267, 543, 1131, 899, 547, 946, 930, 4359, 23285, 2934, 538, 707, 7817, 20933, 3156, 596, 666, 849, 946, 23285, 8566, 307, 298, 547, 2328, 971, 3292, 563, 2791, 849, 723, 519, 2702, 547, 2328, 3444, 13807, 520, 845, 3156, 713, 1259, 269, 23285, 8566, 307, 298, 568, 606, 10137, 547, 23285, 267, 711, 2139, 538, 519, 1292, 3892, 269, 1403, 596, 616, 5461, 538, 23285, 8566, 307, 298, 267, 3643, 9732, 922, 1378, 3896, 563, 15771, 303, 666, 581, 1031, 593, 782, 2101, 5665, 1949, 267, 1519, 12380, 267, 1082, 1133, 1460, 14726, 630, 10175, 24605, 27138, 311, 267, 9891, 529, 543, 7046, 7034, 291, 1070, 9786, 8837, 267, 5839, 13013, 2473, 267, 681, 3041, 290, 13013, 267, 543, 4440, 1866, 269, 23285, 814, 849, 1489, 585, 1034, 540, 519, 1357, 13763, 2221, 269, 901, 2882, 28833, 267, 594, 3041, 267, 543, 1082, 1866, 563, 4517, 713, 2882, 1022, 1357, 7746, 602, 666, 8415, 519, 16258, 290, 22835, 23285, 9352, 267, 899, 1769, 339, 335, 323, 543, 562, 6265, 343, 269, 23285, 1568, 607, 2901, 513, 9074, 267, 610, 607, 513, 595, 22835, 16267, 563, 3383, 609, 23285, 267, 596, 723, 519, 5191, 540, 7446, 606, 5665, 1062, 543, 513, 1357, 7746, 563, 13010, 267, 596, 849, 723, 519, 3903, 540, 1210, 27564, 5752, 610, 1843, 20218, 5752, 630, 302, 8008, 1070, 610, 513, 7848, 540, 873, 1312, 563, 4415, 23285, 596, 616, 711, 3908, 547, 3977, 14103, 269, 23285, 781, 5759, 2882, 3977, 1154, 2592, 267, 7300, 6119, 543, 1256, 18044, 9413, 630, 6748, 5391, 1873, 325, 543, 30721, 264, 6383, 593, 519, 8038, 269, 1411, 666, 849, 3977, 3362, 1022, 1257, 267, 971, 607, 2473, 12487, 7876, 543, 1022, 824, 24701, 3758, 563, 15771, 303, 666, 1313, 4094, 4733, 891, 6119, 267, 543, 4688, 873, 538, 519, 3758, 1062, 267, 3079, 540, 8228, 621, 856, 267, 8108, 513, 7746, 20933, 21461, 585, 707, 6422, 1543, 563, 3080, 540, 519, 16999, 543, 1034, 1713, 2934, 538, 23285, 568, 922, 1489, 585, 513, 2647, 2039, 540, 12240, 563, 16240, 513, 6538, 10276, 12574, 1357, 2985, 568, 11212, 2241, 1210, 835, 540, 519, 6538, 1808, 24909, 630, 324, 3052, 1421, 585, 544, 903, 27942, 1070, 610, 1210, 606, 27727, 4494, 899, 19113, 302, 267, 610, 1921, 547, 1022, 6538, 5885, 519, 7046, 18482, 17583, 3044, 3842, 519, 744, 291, 6195, 2169, 3290, 269, 4033, 12240, 949, 8415, 524, 7838, 299, 528, 1124, 22806, 267, 899, 595, 13224, 24174, 269, 0, 300, 1897, 4595, 8734, 476, 1001, 280, 454, 8601, 519, 2197, 779, 30050, 9295, 547, 519, 2518, 8511, 3154, 5434, 267, 26280, 320, 779, 5822, 715, 17584, 9708, 513, 1297, 540, 5823, 531, 17846, 9072, 1519, 513, 476, 1724, 260, 5786, 538, 8511, 3154, 5434, 676, 476, 10711, 271, 3379, 547, 476, 1220, 277, 15977, 538, 519, 1648, 5823, 998, 513, 5912, 547, 476, 3583, 260, 7791, 5201, 269, 634, 715, 17584, 849, 5036, 9542, 9072, 1519, 9001, 476, 1789, 260, 540, 519, 2244, 585, 29436, 1150, 2722, 267, 7303, 8628, 2530, 540, 2244, 1813, 547, 4262, 7400, 4473, 538, 26280, 320, 779, 2185, 1292, 10195, 267, 543, 9750, 7286, 6870, 2127, 543, 2027, 2359, 2127, 547, 476, 1789, 260, 540, 26280, 320, 779, 12600, 2804, 7997, 269, 26280, 320, 568, 849, 3384, 513, 7043, 3856, 8899, 5682, 5264, 13937, 2506, 2153, 4886, 15613, 269, 634, 715, 17584, 14469, 1184, 568, 6462, 676, 519, 715, 17584, 26844, 8693, 11059, 28389, 618, 13268, 720, 998, 519, 13636, 7414, 715, 17584, 16735, 543, 2818, 717, 294, 22835, 267, 594, 3918, 2793, 267, 543, 594, 3041, 291, 563, 14737, 3588, 540, 25561, 1108, 267, 6052, 267, 6176, 267, 28155, 5004, 267, 5113, 267, 8693, 7827, 543, 18058, 267, 543, 12080, 540, 16010, 454, 27396, 908, 538, 13474, 22580, 454, 14483, 8609, 540, 13474, 22580, 454, 25111, 476, 272, 281, 2480, 14563, 454, 1607, 13474, 1772, 8081, 539, 1635, 454, 12812, 2630, 547, 1569, 2197, 1808, 6054, 4143, 547, 715, 17584, 26844, 538, 28029, 787, 960, 24707, 26671, 454, 19185, 1280, 6184, 17508, 888, 289, 12864, 1434, 2853, 540, 2916, 2962, 1374, 543, 6388, 269, 8196, 634, 6153, 6657, 18482, 454, 19185, 1280, 30334, 2107, 8081, 888, 8340, 519, 2645, 267, 5867, 267, 543, 28007, 1489, 547, 3914, 707, 2916, 3853, 269, 8196, 634, 8693, 15484, 7901, 454, 19185, 1280, 8693, 8750, 532, 888, 26368, 1761, 2959, 540, 2916, 8804, 543, 1451, 875, 547, 1569, 873, 269, 8196, 634, 8693, 16010, 25817, 454, 20458, 1299, 715, 17584, 4578, 0, 29171, 1380, 2436, 596, 10709, 4724, 1863, 786, 610, 15002, 1143, 454, 763, 1523, 540, 1863, 786, 814, 1044, 1472, 585, 5553, 269, 11096, 14279, 971, 607, 17127, 267, 13985, 21590, 543, 29439, 26075, 723, 11130, 585, 922, 6228, 630, 300, 1601, 518, 476, 1001, 271, 1040, 769, 2413, 6138, 267, 519, 2856, 540, 1863, 786, 3568, 1896, 1883, 2609, 281, 621, 3322, 1818, 5079, 1510, 5007, 3310, 282, 1373, 2111, 547, 1118, 1114, 5079, 1256, 952, 2016, 2147, 6381, 282, 543, 2348, 513, 2631, 540, 5539, 585, 835, 779, 3527, 630, 291, 1460, 527, 476, 1708, 271, 1040, 4675, 13024, 540, 1863, 2914, 650, 2303, 602, 713, 1523, 2636, 721, 547, 1491, 9562, 585, 519, 5837, 4539, 540, 938, 3664, 543, 7512, 2123, 2208, 630, 300, 1601, 518, 476, 1001, 271, 1916, 7476, 519, 13159, 11426, 18838, 7433, 18838, 676, 7464, 18972, 5808, 723, 24215, 20056, 539, 538, 741, 5525, 543, 1174, 1018, 707, 7548, 6499, 454, 2171, 723, 5830, 945, 786, 2328, 513, 2347, 2688, 1957, 585, 596, 689, 15072, 267, 593, 519, 1657, 1888, 269, 1284, 1711, 3312, 4574, 609, 589, 17676, 623, 6369, 22835, 2752, 26113, 29187, 18306, 269, 3776, 21493, 616, 849, 3318, 11929, 570, 5474, 454, 19868, 514, 547, 667, 1662, 4580, 294, 664, 1569, 547, 707, 2688, 4574, 563, 663, 1747, 1007, 9753, 0, 10817, 731, 2103, 1616, 1018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 8080, 547, 938, 3460, 1394, 538, 942, 547, 2263, 2069, 1282, 7810, 2053, 538, 3013, 256, 7982, 1287, 267, 3506, 6743, 1360, 1114, 982, 789, 798, 2221, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 5331, 596, 5030, 538, 519, 476, 1724, 3312, 3703, 10125, 2059, 519, 9456, 5032, 540, 3345, 3013, 1063, 476, 8182, 278, 543, 476, 10082, 277, 269, 2659, 2146, 1131, 2693, 723, 1185, 835, 610, 1079, 1507, 3506, 1500, 540, 20743, 610, 20398, 269, 4107, 1453, 1705, 711, 7390, 891, 3506, 1317, 741, 3885, 2877, 873, 547, 960, 593, 11396, 610, 948, 609, 4213, 693, 1753, 269, 1717, 267, 952, 707, 3237, 1223, 6488, 621, 543, 5156, 602, 1565, 729, 1898, 267, 596, 1522, 1205, 519, 4960, 547, 979, 547, 1153, 2439, 3383, 267, 1018, 1131, 596, 1451, 538, 1346, 7810, 13460, 286, 4270, 267, 2094, 1034, 1004, 941, 6705, 267, 1082, 4245, 5059, 593, 1983, 899, 2542, 267, 1603, 267, 543, 12980, 269, 1452, 9238, 5280, 3214, 1832, 3950, 540, 5452, 267, 2371, 267, 3771, 341, 3949, 267, 543, 2724, 269, 11334, 849, 15091, 4984, 1317, 8567, 5129, 513, 2629, 1909, 538, 5935, 2950, 543, 4031, 269, 4841, 6594, 519, 6426, 543, 8357, 1242, 19001, 267, 1728, 332, 985, 267, 543, 3909, 5931, 780, 289, 9081, 543, 6690, 4121, 8335, 269, 2755, 1312, 25469, 4607, 2596, 4081, 6044, 267, 8695, 1419, 4797, 4974, 5396, 971, 607, 1686, 267, 11585, 267, 6128, 267, 543, 2257, 3564, 10026, 1377, 269, 21989, 3622, 18423, 538, 3119, 9344, 3476, 855, 6591, 3407, 6469, 1983, 899, 5986, 267, 22927, 267, 12202, 267, 543, 1126, 3249, 1107, 782, 1271, 585, 4881, 10820, 543, 9870, 2104, 5481, 269, 2368, 14547, 6690, 13984, 4357, 27756, 3506, 1141, 789, 15568, 1514, 1178, 806, 267, 2575, 267, 1148, 267, 543, 4359, 19174, 780, 27645, 538, 7810, 3506, 4769, 1405, 946, 10477, 2835, 2407, 540, 5961, 899, 649, 798, 19951, 269, 5502, 267, 10453, 5206, 1210, 844, 1571, 1019, 5529, 538, 13504, 6202, 338, 593, 1793, 919, 610, 1957, 269, 1358, 13736, 10259, 1913, 16965, 543, 973, 1746, 15102, 689, 3965, 269, 11283, 531, 10751, 267, 899, 18644, 3946, 609, 17710, 610, 666, 525, 267, 729, 1455, 950, 1053, 3765, 2041, 6409, 539, 610, 8959, 547, 2347, 10467, 269, 962, 10105, 2439, 3086, 1577, 781, 1589, 827, 875, 2484, 2069, 814, 2097, 2094, 7810, 2395, 269, 1284, 1869, 1353, 930, 2147, 3584, 267, 899, 2979, 543, 1893, 6575, 267, 855, 972, 616, 865, 1082, 1007, 1919, 1932, 910, 2257, 6901, 267, 9089, 2854, 676, 4589, 5001, 267, 5904, 267, 2228, 2200, 267, 543, 1454, 811, 256, 1656, 3314, 267, 1569, 547, 2298, 2069, 7012, 1405, 3160, 1394, 1287, 267, 2523, 585, 1978, 2516, 899, 20665, 20338, 267, 7087, 9082, 267, 543, 4057, 3864, 11082, 269, 4653, 267, 3872, 3255, 3136, 9750, 267, 3850, 3025, 513, 3655, 790, 337, 8929, 693, 1565, 780, 1103, 3932, 267, 7810, 1977, 2069, 9356, 519, 2418, 543, 2115, 540, 922, 2486, 1247, 18413, 13654, 2679, 7161, 585, 2413, 3450, 2409, 269, 1306, 3309, 607, 938, 4182, 568, 267, 3695, 3140, 2796, 2337, 721, 5660, 519, 4720, 540, 2069, 2429, 772, 2529, 269, 1686, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19185, 585, 513, 1808, 1433, 267, 2376, 267, 610, 824, 6221, 888, 2521, 966, 290, 308, 23905, 9612, 454, 288, 3008, 8466, 11270, 25025, 14635, 10022, 476, 272, 268, 276, 31357, 308, 454, 288, 3102, 4015, 540, 1974, 25025, 689, 519, 1977, 4165, 1172, 4115, 5980, 25643, 519, 1272, 540, 3013, 781, 1004, 689, 519, 20616, 16527, 998, 519, 6406, 2782, 543, 25608, 543, 883, 519, 2038, 476, 736, 628, 11416, 563, 15275, 5809, 31120, 1031, 538, 10120, 5824, 22251, 630, 31142, 12779, 2762, 1040, 9980, 1845, 3382, 519, 1974, 689, 519, 476, 279, 628, 2540, 909, 547, 543, 1519, 519, 476, 1428, 628, 2540, 563, 10907, 27854, 11473, 6732, 630, 16787, 2177, 264, 31357, 308, 966, 4353, 288, 454, 1320, 748, 1343, 540, 18297, 7044, 8720, 513, 2647, 2039, 540, 10459, 269, 22291, 32026, 267, 11042, 267, 4183, 8874, 267, 3377, 267, 543, 811, 7856, 676, 32282, 267, 18917, 267, 23711, 267, 595, 7034, 267, 590, 3415, 267, 589, 261, 292, 267, 12634, 8551, 9012, 267, 9576, 9956, 267, 543, 1082, 1866, 563, 3722, 11862, 28299, 661, 5174, 809, 31357, 308, 454, 14549, 885, 661, 5174, 809, 630, 4047, 289, 264, 4534, 6035, 676, 519, 1977, 7027, 540, 3231, 2740, 5081, 7724, 630, 3722, 11862, 264, 4534, 568, 513, 3059, 4015, 540, 1713, 14172, 538, 519, 23408, 563, 4692, 581, 1031, 585, 1576, 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, 8624, 11102, 1977, 4065, 257, 607, 851, 540, 834, 3633, 24102, 1315, 3778, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 476, 1626, 269, 274, 16522, 1314, 543, 16677, 698, 9609, 692, 2026, 649, 2282, 519, 1439, 540, 938, 3460, 998, 4359, 3584, 538, 16105, 267, 621, 568, 1271, 547, 2015, 875, 891, 7493, 2035, 666, 581, 4294, 538, 1483, 8996, 8658, 3564, 24243, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 10167, 540, 16105, 543, 27380, 267, 610, 519, 2259, 540, 3450, 4654, 269, 1635, 1620, 519, 2081, 538, 799, 4852, 12519, 3741, 666, 1217, 1893, 6044, 267, 649, 666, 1732, 16491, 3610, 543, 6267, 7567, 547, 6330, 519, 10848, 540, 1893, 2497, 543, 6165, 780, 1626, 269, 274, 269, 272, 634, 1909, 540, 16105, 538, 1893, 6044, 692, 4263, 922, 4295, 267, 1893, 6044, 3322, 4543, 6267, 1020, 741, 32705, 16169, 267, 610, 519, 2702, 547, 1174, 543, 3132, 1893, 3927, 538, 1514, 4205, 630, 4692, 1446, 1299, 4210, 664, 267, 476, 2735, 271, 1040, 901, 2882, 711, 1152, 6863, 1646, 543, 12332, 1983, 267, 855, 849, 606, 1620, 540, 8239, 3652, 543, 3889, 269, 2755, 1082, 1893, 3610, 949, 1445, 5097, 593, 3450, 8231, 17788, 725, 543, 10902, 11650, 267, 4852, 12519, 3741, 1404, 513, 2629, 1909, 538, 5935, 4845, 7400, 3919, 543, 2495, 780, 3080, 1259, 538, 799, 4852, 12519, 3741, 666, 1217, 1893, 6044, 568, 676, 3246, 513, 5943, 585, 7421, 543, 11008, 1944, 1114, 2010, 540, 5220, 269, 1280, 1383, 267, 9301, 519, 3017, 1063, 2241, 267, 7623, 267, 543, 1950, 5220, 666, 948, 6267, 1732, 1174, 875, 21291, 9305, 547, 835, 1776, 1369, 513, 3677, 11407, 2497, 269, 3958, 267, 7114, 1585, 4852, 12519, 3270, 971, 607, 1780, 643, 1436, 267, 1579, 1111, 532, 267, 543, 22521, 1436, 666, 1683, 4030, 883, 519, 2081, 538, 799, 10529, 13861, 2262, 1931, 543, 8561, 547, 6655, 1880, 10096, 780, 5194, 1259, 538, 799, 4852, 12519, 3741, 666, 1489, 1893, 6044, 568, 676, 17766, 1769, 593, 1455, 6959, 1500, 676, 2034, 1893, 6267, 269, 3194, 814, 3254, 602, 1978, 4852, 12519, 25481, 10460, 3152, 2591, 585, 6267, 982, 1866, 267, 1419, 1813, 547, 13779, 689, 741, 1101, 1893, 610, 824, 5892, 4121, 4654, 630, 302, 323, 4802, 267, 476, 2735, 280, 1040, 1635, 1620, 891, 1761, 588, 22824, 7161, 267, 3610, 666, 1374, 4245, 543, 2238, 602, 12799, 3077, 2127, 1141, 6267, 949, 991, 3606, 1489, 780, 1626, 269, 274, 269, 273, 16792, 4852, 12519, 3741, 538, 1893, 6044, 692, 3383, 875, 666, 4852, 12519, 3741, 581, 7471, 883, 4890, 1893, 6044, 286, 3371, 616, 513, 1906, 2994, 543, 2553, 602, 3610, 1522, 1265, 5363, 1384, 265, 1401, 14032, 569, 4001, 4852, 12519, 2035, 281, 13298, 982, 14322, 602, 6267, 786, 6923, 4584, 909, 593, 4852, 12519, 3270, 998, 17697, 4598, 267, 3610, 666, 4324, 689, 12799, 10962, 543, 7713, 1883, 2035, 971, 607, 1641, 268, 14620, 6876, 267, 3448, 21291, 267, 543, 30163, 13307, 269, 21278, 2312, 8847, 267, 1806, 267, 543, 1875, 7721, 3263, 666, 948, 2327, 602, 6267, 723, 513, 4396, 5748, 2390, 799, 547, 1628, 811, 1950, 3889, 563, 265, 2422, 3308, 11226, 281, 12810, 2719, 5220, 1210, 2645, 971, 607, 3529, 12222, 610, 8360, 2497, 3652, 666, 1683, 513, 6405, 6041, 540, 6382, 7493, 4852, 12519, 3347, 269, 1452, 3308, 11226, 666, 948, 6267, 1294, 875, 1913, 543, 2453, 3514, 1927, 547, 1106, 23887, 4559, 540, 2495, 563, 265, 11559, 15226, 3408, 281, 29179, 6267, 3255, 547, 4603, 609, 1114, 4852, 12519, 3889, 666, 6536, 5876, 543, 6278, 269, 11242, 971, 607, 4845, 9256, 5751, 267, 1141, 6267, 616, 4280, 547, 9192, 10156, 5220, 883, 3476, 3283, 1210, 1585, 28339, 267, 666, 5000, 873, 547, 1589, 9691, 827, 875, 1913, 543, 2453, 2170, 563, 265, 21302, 8076, 5931, 281, 24167, 1483, 8996, 1806, 540, 1893, 946, 666, 1683, 3407, 5813, 883, 875, 4852, 12519, 3741, 7500, 538, 2796, 269, 11334, 1522, 2824, 2110, 32461, 689, 9089, 267, 3377, 4930, 267, 610, 15264, 20072, 543, 2307, 6267, 547, 2697, 1585, 4852, 12519, 2934, 971, 607, 12809, 5639, 267, 11251, 2055, 267, 610, 19585, 21291, 563, 265, 17372, 1455, 6959, 281, 9122, 593, 1382, 610, 8343, 267, 3610, 666, 18783, 1761, 7965, 602, 6267, 949, 7237, 950, 1565, 1978, 4852, 12519, 25481, 269, 1280, 1383, 267, 5053, 10529, 1565, 2296, 949, 6560, 609, 2376, 6165, 1813, 547, 3604, 1063, 519, 1079, 4654, 269, 21278, 6098, 5955, 543, 15494, 538, 891, 2127, 666, 948, 2232, 10770, 6959, 1354, 789, 1831, 3824, 11712, 6208, 780, 1626, 269, 274, 269, 274, 8865, 1353, 281, 16522, 12519, 4656, 2866, 585, 26613, 16929, 692, 2414, 9414, 519, 1761, 1764, 540, 10128, 4852, 12519, 3741, 883, 1893, 6044, 267, 1577, 721, 2015, 513, 2013, 1353, 5342, 676, 3173, 693, 14151, 3557, 2160, 630, 289, 1716, 14551, 339, 1299, 670, 13758, 537, 267, 476, 1220, 271, 1040, 769, 713, 1353, 267, 519, 3173, 2919, 513, 3318, 1646, 1982, 585, 26613, 16929, 6322, 693, 2810, 741, 4852, 12519, 4656, 543, 2702, 547, 13209, 15226, 6959, 780, 763, 1982, 15538, 540, 1614, 1292, 3334, 281, 630, 272, 264, 11925, 5059, 593, 3384, 5171, 262, 1620, 540, 1883, 4852, 12519, 2035, 282, 630, 273, 264, 11461, 2259, 7886, 1282, 799, 5171, 9916, 8076, 2875, 960, 543, 4857, 4852, 12519, 6959, 282, 543, 630, 274, 264, 5571, 18006, 543, 29013, 2429, 519, 4081, 1032, 780, 24342, 8612, 602, 10283, 16929, 4951, 1713, 9283, 538, 1312, 741, 1378, 4852, 12519, 6111, 543, 741, 2702, 547, 8308, 13209, 15226, 6959, 269, 5015, 267, 1053, 6026, 676, 891, 16929, 7152, 2362, 2157, 540, 2949, 1893, 15334, 3379, 547, 1346, 6026, 676, 1875, 12268, 4602, 908, 16929, 780, 1607, 2013, 1353, 8711, 519, 2956, 540, 10115, 538, 4797, 2069, 543, 3318, 1646, 585, 1893, 7855, 269, 1635, 29947, 741, 1378, 1620, 540, 4852, 12519, 3741, 267, 3610, 666, 1732, 1489, 6267, 538, 16565, 891, 1898, 2679, 7161, 540, 2792, 780, 1103, 3932, 267, 3695, 519, 10167, 540, 16105, 543, 27380, 3091, 3078, 7399, 585, 7393, 1893, 6044, 543, 5009, 15226, 1967, 269, 3414, 8763, 3450, 267, 3308, 11226, 267, 3946, 6823, 3408, 267, 8076, 1257, 2079, 267, 543, 5470, 8446, 267, 3610, 666, 11753, 4852, 12519, 3741, 883, 741, 13460, 538, 6209, 2081, 269, 5047, 267, 5885, 5571, 3318, 1646, 585, 1893, 7855, 5849, 602, 789, 2611, 9280, 609, 519, 1702, 543, 1983, 2556, 547, 3391, 6267, 998, 519, 6946, 1158, 540, 1893, 2497, 543, 6165, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 306, 655, 14373, 538, 16522, 1314, 281, 476, 11628, 11762, 257, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4076, 4862, 540, 32682, 1027, 546, 5417, 625, 685, 804, 7865, 8573, 1342, 1194, 726, 9081, 547, 4444, 741, 1453, 779, 2648, 269, 3231, 2965, 26770, 1010, 1614, 20766, 547, 4444, 1010, 2648, 267, 6031, 602, 22167, 518, 559, 14560, 1864, 7466, 607, 1454, 607, 31144, 1317, 1352, 3091, 7466, 519, 1297, 540, 7980, 269, 1261, 849, 7125, 1010, 20766, 968, 684, 11499, 688, 7714, 2223, 799, 649, 4952, 568, 606, 2150, 4902, 3948, 267, 2016, 519, 3668, 540, 26588, 9225, 8202, 543, 9067, 6445, 619, 1394, 538, 9956, 779, 1554, 269, 4746, 267, 6148, 31144, 543, 22167, 518, 559, 1131, 723, 20335, 2059, 1732, 630, 663, 554, 730, 741, 4651, 513, 2603, 1447, 264, 952, 3231, 22821, 1406, 15069, 23163, 24778, 20782, 269, 2368, 1004, 2161, 519, 1404, 568, 606, 3408, 540, 2470, 8957, 20741, 267, 855, 972, 7012, 1406, 2731, 513, 2898, 2603, 540, 14637, 563, 4517, 1934, 779, 670, 3784, 339, 670, 3784, 339, 693, 1297, 1614, 267, 18445, 602, 713, 1592, 568, 711, 538, 1931, 540, 695, 265, 1777, 1465, 269, 670, 3784, 339, 8293, 1563, 568, 606, 9409, 7895, 2684, 850, 945, 15361, 513, 4807, 883, 2261, 11538, 1864, 865, 602, 646, 666, 723, 2653, 1569, 547, 1200, 12964, 4458, 6040, 8250, 267, 10753, 12544, 8004, 646, 7125, 700, 7035, 320, 269, 1879, 519, 8004, 779, 3993, 25395, 670, 3784, 339, 779, 829, 30062, 24500, 538, 1010, 4760, 267, 1352, 8255, 547, 3262, 519, 3377, 543, 568, 5734, 676, 606, 593, 5765, 1286, 269, 670, 3784, 339, 30001, 519, 4760, 3817, 543, 3217, 3656, 26692, 540, 10753, 267, 513, 2990, 540, 1379, 646, 28407, 547, 1071, 518, 576, 1200, 883, 3023, 609, 13344, 543, 6937, 602, 1272, 1131, 581, 2484, 8338, 538, 606, 29152, 720, 563, 7069, 3237, 2386, 4769, 1406, 1577, 803, 1205, 513, 31024, 950, 594, 729, 538, 1250, 9972, 1032, 540, 1164, 1153, 269, 3767, 267, 15069, 602, 779, 6281, 547, 9870, 707, 1126, 538, 513, 1381, 10704, 1472, 519, 1523, 540, 1973, 19454, 269, 2755, 1169, 2385, 814, 513, 5539, 547, 1832, 741, 1453, 2922, 267, 13198, 857, 639, 3893, 3238, 609, 18903, 32617, 517, 267, 606, 22023, 626, 1043, 6205, 865, 5906, 602, 646, 8910, 581, 10930, 538, 21569, 982, 6849, 966, 1245, 344, 779, 32716, 269, 630, 8253, 547, 2446, 267, 540, 1576, 267, 602, 779, 646, 779, 15069, 513, 7372, 22457, 543, 21055, 10553, 26782, 945, 5134, 8972, 667, 984, 2421, 4700, 1261, 849, 6836, 547, 3196, 1010, 5067, 547, 12638, 2576, 267, 2901, 676, 3880, 1782, 519, 31577, 540, 1010, 13170, 538, 4395, 540, 19537, 1723, 779, 9224, 610, 676, 22348, 1864, 267, 948, 2685, 267, 602, 966, 1245, 655, 677, 1131, 2693, 6146, 19537, 1723, 952, 646, 8959, 563, 29613, 958, 267, 18971, 1131, 2671, 1913, 540, 7326, 609, 741, 1453, 269, 2561, 30068, 267, 930, 2161, 281, 968, 296, 6557, 1318, 1299, 596, 2461, 4636, 269, 594, 6557, 2462, 1299, 596, 2461, 1507, 267, 543, 972, 779, 4986, 596, 666, 798, 827, 621, 1848, 27814, 267, 18971, 1131, 18220, 519, 2418, 602, 789, 1616, 689, 741, 1453, 269, 2561, 30068, 267, 930, 6133, 5906, 569, 7745, 6517, 547, 5561, 602, 786, 2196, 585, 4557, 3764, 543, 1287, 2736, 1524, 269, 6004, 269, 654, 768, 6229, 568, 513, 8231, 958, 29880, 695, 265, 339, 321, 698, 945, 25747, 705, 663, 976, 1010, 1126, 609, 513, 4351, 1153, 974, 12329, 646, 3085, 1406, 13948, 917, 269, 1772, 4223, 843, 320, 1732, 1055, 609, 7323, 26006, 286, 772, 332, 267, 15069, 269, 1772, 621, 1869, 7168, 3190, 539, 909, 602, 646, 4769, 1406, 1416, 693, 782, 827, 5329, 1010, 1152, 8250, 286, 589, 7034, 5357, 7473, 5085, 312, 563, 2080, 779, 513, 9843, 909, 602, 713, 26841, 540, 15366, 6057, 568, 7168, 8642, 269, 25392, 602, 670, 3784, 339, 670, 3784, 339, 568, 593, 519, 1592, 543, 24199, 835, 2115, 513, 771, 25068, 267, 596, 666, 4952, 519, 1377, 540, 5208, 269, 1325, 874, 517, 810, 20054, 543, 3423, 919, 1010, 8250, 267, 22966, 773, 267, 799, 814, 8507, 7466, 538, 6379, 269, 634, 1101, 1126, 267, 646, 3576, 547, 519, 18137, 543, 23689, 269, 4173, 4651, 849, 2848, 1023, 519, 2034, 1126, 543, 3217, 513, 2034, 7385, 1765, 2288, 646, 1869, 8952, 22966, 773, 2673, 543, 28407, 1200, 9308, 269, 6736, 1010, 30651, 593, 22966, 773, 267, 1325, 874, 517, 810, 4749, 7125, 1010, 8250, 30299, 543, 3947, 1200, 2476, 547, 513, 812, 945, 3085, 1406, 2648, 1200, 269, 1656, 519, 476, 6005, 593, 519, 535, 265, 22486, 5346, 14735, 286, 1325, 874, 517, 810, 3884, 1406, 2731, 22966, 773, 779, 4651, 281, 646, 779, 1200, 1900, 15289, 267, 5910, 2056, 547, 581, 1200, 4651, 538, 1931, 547, 27836, 1200, 21549, 3993, 779, 3959, 563, 763, 26881, 779, 538, 519, 3877, 267, 543, 27223, 6157, 4769, 1406, 4413, 519, 10545, 835, 269, 1261, 10480, 27313, 1973, 3079, 540, 15168, 828, 779, 4829, 979, 334, 547, 1010, 1101, 9799, 22189, 18332, 267, 10416, 10018, 532, 602, 519, 20169, 1131, 581, 606, 796, 3107, 539, 267, 1126, 2173, 6324, 1359, 1914, 13771, 585, 519, 1964, 540, 1010, 1272, 269, 2991, 1010, 7385, 10443, 1055, 609, 741, 8250, 267, 27223, 1336, 513, 681, 13263, 6865, 8863, 6579, 291, 630, 297, 864, 1070, 18617, 808, 864, 602, 646, 729, 808, 864, 779, 1483, 4651, 267, 543, 1287, 535, 8898, 1010, 1378, 2669, 3423, 1836, 538, 4395, 540, 519, 4819, 269, 1879, 27223, 31272, 8986, 543, 9060, 808, 864, 543, 1010, 8250, 1849, 776, 267, 646, 13071, 873, 630, 32401, 569, 8627, 14386, 3494, 789, 2461, 6211, 16254, 30147, 568, 9090, 513, 1966, 267, 2094, 789, 4076, 1044, 6580, 269, 7937, 9493, 1695, 267, 543, 27223, 849, 23689, 808, 864, 779, 4620, 17761, 330, 1354, 10213, 519, 7911, 281, 968, 1729, 2648, 568, 547, 6861, 267, 543, 547, 581, 6068, 568, 547, 581, 519, 835, 10032, 1848, 1772, 602, 519, 2601, 808, 864, 814, 513, 10639, 540, 12008, 1472, 286, 5808, 6487, 286, 898, 779, 711, 899, 602, 4819, 2479, 4718, 513, 13309, 563, 2750, 322, 1746, 3377, 585, 3332, 543, 7574, 11655, 256, 634, 10555, 5020, 540, 2142, 525, 676, 590, 826, 3933, 330, 918, 1342, 729, 2907, 9691, 28601, 607, 1312, 513, 3209, 543, 922, 4183, 4670, 9542, 588, 18732, 21241, 674, 8911, 267, 589, 997, 807, 32368, 267, 26391, 23747, 267, 543, 10348, 4678, 604, 1695, 269, 634, 3209, 729, 513, 1655, 31805, 593, 519, 1715, 3840, 8648, 779, 1655, 8688, 619, 1592, 269, 634, 3209, 3294, 18808, 609, 2597, 344, 3929, 2152, 267, 1519, 1126, 6057, 543, 8194, 269, 27202, 569, 2854, 267, 621, 9388, 609, 922, 2152, 609, 15657, 543, 11419, 267, 1818, 585, 513, 5732, 5140, 3942, 9542, 563, 15862, 966, 807, 12108, 454, 17442, 2419, 534, 2763, 267, 1340, 539, 585, 1200, 1909, 538, 634, 7822, 31947, 267, 786, 1404, 13520, 24010, 4864, 4425, 520, 342, 2431, 269, 4033, 5641, 2818, 723, 1044, 9307, 547, 581, 661, 13453, 16026, 607, 4873, 267, 2494, 334, 601, 21634, 857, 8457, 607, 570, 7304, 599, 267, 15039, 779, 29880, 4651, 267, 6601, 1777, 22630, 607, 2098, 778, 267, 543, 1323, 770, 29716, 15966, 956, 4486, 607, 2904, 269, 5590, 547, 2253, 12744, 338, 593, 2904, 476, 1321, 628, 267, 476, 1001, 280, 267, 519, 1404, 786, 2253, 606, 1055, 5174, 5802, 3118, 1397, 4358, 538, 4873, 543, 5555, 568, 3750, 532, 513, 16340, 3118, 4483, 269, 634, 1404, 786, 4183, 2575, 676, 30338, 2701, 1731, 543, 786, 581, 9859, 676, 6341, 7108, 269, 9524, 1734, 786, 1439, 5147, 476, 278, 628, 855, 649, 4126, 713, 18327, 2442, 2614, 547, 1205, 519, 4064, 540, 16340, 3118, 256, 634, 1397, 786, 4308, 609, 4798, 540, 5132, 267, 17035, 267, 543, 7067, 563, 2171, 666, 1406, 7227, 547, 1294, 713, 1433, 2097, 9800, 593, 3942, 2336, 15919, 267, 649, 1413, 547, 938, 2828, 547, 581, 1732, 1004, 269, 4595, 596, 4440, 1175, 678, 836, 538, 519, 1715, 5729, 8384, 782, 540, 707, 2828, 2206, 21354, 543, 3614, 675, 2933, 1247, 883, 343, 5344, 267, 6148, 596, 2461, 3168, 585, 513, 1909, 2203, 945, 779, 513, 2370, 811, 2463, 762, 269, 3371, 779, 513, 1592, 540, 4557, 5339, 3197, 945, 666, 8300, 721, 547, 581, 1732, 1004, 538, 519, 1032, 476, 1001, 280, 32737, 1279, 607, 649, 900, 3634, 1152, 741, 2318, 7907, 269, 630, 298, 520, 333, 1170, 17451, 1372, 523, 1705, 6146, 19421, 540, 1004, 8094, 272, 269, 5900, 16307, 5685, 577, 454, 294, 604, 966, 807, 570, 3518, 331, 337, 2593, 454, 288, 811, 31369, 15818, 982, 1034, 4890, 17864, 267, 22489, 10557, 30778, 11537, 1915, 5900, 16307, 5685, 577, 568, 513, 1909, 2203, 538, 519, 4057, 8828, 4884, 540, 2904, 18474, 1282, 519, 4279, 12870, 269, 1261, 779, 28450, 267, 8483, 1516, 267, 16614, 267, 606, 5140, 2385, 2507, 543, 646, 12662, 3388, 593, 519, 1899, 547, 9718, 513, 3109, 812, 538, 5480, 538, 519, 476, 4350, 271, 338, 267, 1256, 950, 519, 8322, 1235, 538, 4884, 1810, 1406, 1174, 1946, 269, 3571, 14461, 7029, 547, 1018, 779, 1318, 814, 6039, 607, 606, 6667, 585, 1082, 8026, 17864, 267, 543, 1010, 7029, 547, 1010, 4978, 568, 3226, 4143, 538, 2053, 540, 6498, 267, 5208, 267, 543, 21440, 269, 630, 8133, 267, 649, 2461, 24937, 519, 1249, 602, 646, 3587, 513, 5186, 339, 3832, 1399, 2025, 22457, 538, 3619, 5590, 513, 13772, 2006, 32737, 616, 782, 540, 519, 3237, 945, 3957, 741, 3214, 1310, 1864, 8094, 273, 269, 19555, 7748, 6182, 9734, 454, 294, 604, 966, 807, 670, 4428, 15838, 14006, 2593, 454, 8266, 523, 6953, 14019, 1522, 581, 12703, 543, 12050, 267, 855, 646, 779, 1100, 681, 13273, 743, 1177, 269, 1284, 782, 917, 19555, 7748, 568, 5100, 543, 10121, 267, 7683, 9363, 782, 3781, 538, 519, 5399, 547, 1205, 519, 5370, 585, 1200, 2828, 269, 1656, 649, 1131, 2760, 7340, 875, 13998, 3222, 1352, 666, 581, 267, 7555, 909, 585, 519, 2924, 540, 2777, 1714, 1407, 543, 9505, 1154, 1524, 1793, 2720, 2451, 543, 1318, 269, 1809, 596, 1522, 4076, 16618, 875, 1352, 9388, 609, 2879, 9662, 543, 3787, 2583, 281, 950, 932, 334, 26284, 779, 3659, 20984, 519, 3877, 540, 667, 14217, 648, 779, 8136, 267, 19555, 334, 710, 9060, 856, 621, 729, 1200, 3842, 519, 1129, 5346, 6656, 779, 17134, 5896, 1957, 269, 25175, 945, 914, 7590, 519, 3972, 540, 519, 1895, 786, 723, 519, 2262, 19301, 12788, 298, 2408, 2066, 741, 3068, 538, 1630, 2812, 30147, 25473, 1131, 4734, 513, 7168, 14407, 10077, 269, 901, 476, 1001, 280, 267, 1577, 779, 782, 1451, 689, 19555, 7748, 711, 547, 3190, 1472, 563, 274, 269, 27211, 667, 4319, 454, 15862, 966, 807, 7352, 1214, 2593, 454, 5278, 1004, 2760, 2244, 741, 5326, 6009, 269, 2368, 1004, 798, 621, 950, 789, 2461, 28465, 1296, 2025, 269, 27211, 667, 4319, 568, 2462, 942, 3853, 585, 513, 1297, 540, 4128, 267, 711, 519, 2547, 540, 799, 519, 1249, 602, 1352, 779, 513, 4775, 19792, 8385, 689, 519, 476, 4350, 271, 338, 1765, 2254, 513, 942, 2462, 593, 18245, 6690, 610, 1453, 269, 2701, 849, 21783, 1164, 1153, 693, 519, 2085, 540, 28465, 267, 2495, 1352, 1590, 723, 7283, 7168, 5059, 5103, 20414, 20737, 269, 2701, 849, 1185, 811, 12348, 982, 2835, 2854, 827, 1200, 267, 799, 568, 7168, 11141, 2016, 1200, 3818, 11546, 322, 1228, 2196, 269, 27211, 568, 15991, 519, 1152, 21184, 19792, 856, 972, 267, 855, 1352, 779, 2760, 1044, 15034, 540, 1025, 5074, 621, 476, 2190, 270, 278, 630, 4537, 698, 4445, 689, 590, 1723, 984, 344, 1684, 334, 264, 610, 7630, 532, 25933, 630, 306, 615, 6674, 29385, 1916, 15862, 966, 807, 7305, 339, 332, 698, 2593, 454, 3383, 6148, 4432, 18857, 568, 1175, 513, 3552, 569, 936, 1440, 643, 850, 3022, 3670, 4458, 6040, 945, 16945, 1606, 330, 919, 1524, 519, 10689, 1811, 540, 519, 1773, 18054, 23392, 269, 4432, 18857, 568, 693, 2899, 5393, 14547, 543, 513, 1126, 267, 2495, 1352, 3085, 1406, 723, 547, 2628, 585, 4376, 543, 814, 1100, 9021, 269, 2755, 621, 779, 12691, 649, 3580, 695, 25184, 1055, 782, 7963, 538, 519, 1032, 476, 1001, 280, 543, 3548, 9003, 15678, 4055, 3028, 267, 972, 779, 4986, 4636, 609, 1126, 3697, 15131, 538, 2937, 6381, 269, 630, 3719, 972, 568, 1945, 4636, 609, 26311, 13084, 27158, 1524, 13875, 669, 2373, 8094, 276, 269, 15248, 16077, 454, 15862, 966 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 519, 1079, 29008, 525, 3213, 601, 665, 6621, 807, 2206, 12940, 985, 529, 543, 28037, 778, 344, 571, 838, 269, 941, 9625, 2412, 24670, 811, 10731, 693, 519, 694, 788, 543, 18799, 513, 3648, 2362, 3448, 11606, 540, 5204, 928, 577, 19905, 982, 29008, 525, 693, 1852, 4609, 269, 634, 2333, 538, 6337, 24678, 17973, 693, 519, 694, 788, 5732, 2488, 891, 2249, 609, 513, 9422, 4324, 543, 8476, 9165, 585, 2208, 896, 2104, 2916, 7653, 630, 28387, 267, 8112, 538, 1623, 6798, 2670, 949, 1291, 547, 513, 3677, 13395, 4560, 1040, 634, 15451, 2146, 538, 519, 15151, 533, 4596, 273, 25259, 26703, 2249, 590, 269, 2527, 320, 729, 711, 3648, 1114, 1063, 4609, 269, 1452, 1239, 1397, 602, 6114, 547, 11506, 533, 4596, 273, 616, 2249, 10391, 543, 602, 519, 6617, 543, 8112, 540, 15451, 12352, 949, 723, 606, 1271, 1909, 538, 5935, 543, 7700, 547, 519, 8516, 543, 1967, 540, 930, 14747, 563, 20332, 15027, 2910, 273, 694, 10134, 7866, 2104, 24551, 585, 3984, 1700, 332, 17853, 12205, 538, 27712, 543, 29008, 525, 13775, 476, 2641, 5239, 476, 1001, 275, 3163, 23680, 513, 19410, 454, 30475, 281, 11606, 267, 6211, 3210, 267, 19836, 10919, 640, 267, 2146, 5888, 267, 27712, 267, 2361, 267, 7636, 7350, 267, 824, 15263, 267, 28769, 32070, 267, 605, 28648, 4925, 267, 3162, 7414, 454, 30475, 281, 7998, 267, 3345, 7414, 454, 291, 1170, 9407, 22803, 3327, 630, 291, 2975, 264, 543, 30175, 6541, 941, 10502, 6027, 585, 2627, 543, 5377, 7297, 538, 717, 342, 836, 344, 836, 7345, 267, 9705, 267, 1282, 519, 2185, 12405, 547, 2708, 12119, 7648, 540, 513, 16400, 924, 25294, 1533, 630, 394, 358, 31804, 1040, 5637, 519, 2627, 543, 5377, 7297, 941, 9207, 18260, 609, 2463, 547, 513, 16400, 924, 1282, 4832, 855, 941, 25436, 18260, 1282, 519, 824, 12405, 269, 634, 4832, 5503, 9207, 4405, 566, 540, 519, 2627, 7297, 609, 2463, 547, 513, 16400, 924, 949, 723, 1044, 513, 1267, 540, 519, 8920, 1081, 1198, 3361, 676, 2362, 12119, 5757, 20359, 269, 769, 519, 5377, 7297, 267, 519, 3328, 667, 2975, 5834, 2799, 676, 476, 2412, 269, 277, 13179, 28485, 4846, 12814, 272, 689, 5614, 547, 4832, 267, 1247, 519, 3328, 30175, 6541, 8519, 676, 476, 10619, 269, 278, 13179, 18091, 4846, 12814, 272, 269, 1306, 513, 1267, 267, 519, 30175, 6541, 22230, 2975, 5223, 8519, 689, 476, 272, 269, 5881, 538, 5614, 547, 476, 272, 269, 4905, 538, 4832, 543, 9063, 849, 8519, 689, 476, 278, 269, 11011, 547, 476, 278, 269, 4366, 267, 799, 8507, 538, 519, 4832, 5503, 9207, 4405, 566, 540, 519, 5377, 7297, 563, 30475, 281, 7998, 267, 2409, 454, 8110, 18504, 540, 14628, 9063, 8596, 568, 11117, 676, 9236, 538, 2198, 1239, 547, 4830, 14541, 31795, 7403, 540, 9063, 543, 547, 1071, 2000, 11343, 9063, 267, 744, 273, 267, 543, 7348, 519, 4569, 7876, 2707, 335, 4596, 273, 8596, 269, 2755, 519, 1655, 2259, 568, 2141, 547, 11766, 513, 5265, 26215, 730, 9300, 267, 519, 17890, 942, 1974, 2838, 585, 9300, 14555, 543, 23363, 1419, 2164, 538, 9300, 17293, 1510, 3102, 23363, 269, 10866, 1852, 630, 304, 290, 264, 5773, 616, 8947, 547, 3313, 519, 6959, 2404, 609, 1114, 538, 2198, 23363, 4485, 543, 2482, 513, 5943, 585, 1655, 2853, 269, 32190, 15004, 14139, 519, 26006, 6202, 667, 3120, 325, 564, 7283, 7123, 2066, 2789, 11766, 906, 585, 936, 8370, 3275, 269, 1717, 267, 9300, 2773, 729, 1419, 3908, 676, 6915, 325, 537, 1782, 269, 13636, 12170, 3347, 585, 21501, 19941, 1062, 6724, 616, 3254, 547, 5512, 8446, 540, 6382, 967, 626, 3907, 27720, 9300, 15558, 543, 20847, 950, 2789, 9300, 2010, 616, 1071, 2000, 11343, 269, 28687, 1643, 1399, 568, 5462, 676, 23363, 1935, 543, 1590, 581, 3067, 1881, 593, 513, 2013, 8386, 30924, 4493, 269, 3776, 2164, 5815, 602, 519, 667, 3120, 325, 564, 568, 5827, 540, 6111, 267, 3448, 547, 513, 6074, 4704, 267, 540, 1732, 982, 476, 271, 269, 6734, 9063, 4559, 936, 2789, 3275, 269, 6452, 5596, 568, 4824, 950, 513, 7347, 13272, 20933, 23363, 568, 5340, 267, 606, 4830, 1797, 540, 1627, 290, 568, 2139, 2429, 513, 17293, 267, 543, 2500, 6915, 325, 537, 1782, 6604, 3800, 616, 3144, 563, 25215, 976, 525, 540, 18287, 2305, 540, 7372, 543, 1958, 6412, 532, 27712, 547, 2250, 267, 1459, 267, 543, 2282, 1922, 1956, 5836, 3327, 8166, 9830, 13775, 476, 2641, 5239, 476, 1001, 275, 3163, 23680, 513, 19410, 454, 30475, 281, 6211, 3210, 267, 18287, 2305, 267, 27712, 267, 8047, 267, 9781, 267, 3345, 7414, 267, 6237, 7116, 9934, 454, 1103, 713, 1353, 267, 649, 1867, 519, 3679, 2305, 1764, 13147, 10107, 519, 840, 11897, 12009, 267, 519, 1459, 267, 543, 2282, 1922, 1956, 12084, 593, 18287, 2305, 540, 1079, 14147, 2249, 630, 303, 528, 2572, 513, 14094, 16772, 529, 267, 1772, 641, 7702, 5493, 32070, 264, 676, 1210, 5730, 533, 4596, 273, 1852, 1062, 799, 666, 3132, 3679, 1881, 26869, 896, 7123, 533, 4596, 273, 2418, 609, 1970, 7648, 269, 769, 519, 9382, 267, 649, 5340, 28662, 9781, 4485, 6220, 519, 7648, 540, 533, 4596, 273, 543, 3379, 519, 2164, 1063, 938, 9781, 1935, 543, 8106, 8579, 835, 269, 634, 2164, 4951, 5207, 18287, 2305, 3928, 538, 840, 11897, 12009, 533, 4596, 273, 1377, 543, 16795, 11081, 540, 18287, 2305, 538, 519, 2282, 1922, 1956, 5836, 3679, 2305, 1377, 267, 799, 5267, 602, 5571, 543, 2282, 1922, 1956, 5836, 3679, 2305, 1131, 11874, 1764, 14147, 18287, 2305, 269, 769, 1840, 267, 621, 729, 4397, 602, 519, 7648, 540, 6724, 540, 3327, 7998, 949, 1860, 519, 23221, 540, 519, 1655, 2203, 593, 18287, 2305, 6114, 547, 891, 6724, 1063, 28662, 9781, 1935, 543, 8106, 8579, 835, 1256, 896, 7123, 533, 4596, 273, 2418, 609, 1970, 7648, 563, 288, 16356, 779, 7226, 666, 2569, 922, 8417, 547, 8375, 2910, 273, 2157, 267, 2687, 547, 8241, 3744, 563, 10908, 984, 958, 267, 5836, 3679, 2305, 1107, 5532, 547, 5434, 540, 8511, 9362, 1107, 3788, 513, 2101, 6161, 543, 3744, 2161, 621, 786, 2800, 1082, 7286, 2249, 936, 519, 1985, 2540, 563, 12867, 689, 519, 8121, 290, 10418, 540, 28742, 585, 4856, 531, 24035, 5525, 630, 290, 7394, 3213, 292, 264, 693, 6276, 13648, 2160, 723, 1336, 602, 519, 3134, 879, 30592, 16356, 267, 513, 2249, 602, 24181, 1369, 18625, 543, 2941, 525, 609, 1970, 5135, 2157, 267, 568, 2111, 547, 20496, 2799, 3327, 8166, 538, 519, 1216, 1510, 1022, 6654, 2168, 1764, 563, 2108, 2026, 851, 540, 519, 1353, 649, 6534, 519, 16142, 547, 2799, 2910, 273, 585, 811, 982, 1079, 3275, 267, 8272, 337, 1681, 519, 2157, 10567, 585, 519, 1439, 540, 519, 2540, 2223, 3081, 1353, 1071, 27236, 3220, 808, 617, 773, 681, 28026, 689, 4856, 531, 3213, 292, 563, 288, 1587, 540, 922, 1604, 281, 519, 3134, 879, 30592, 16356, 630, 295, 28087, 1097, 961, 1756, 522, 3250, 23628, 264, 15225, 12214, 10892, 547, 11506, 2825, 2910, 273, 13775, 476, 1704, 5239, 476, 1001, 275, 3163, 23680, 513, 19410, 454, 30475, 281, 9542, 267, 6211, 3210, 267, 3165, 267, 8047, 267, 824, 15263, 267, 17550, 267, 19344, 454, 302, 4117, 3679, 2305, 267, 4611, 689, 2810, 27643, 2910, 273, 5434, 267, 568, 10567, 547, 1860, 519, 12214, 2773, 540, 1082, 7286, 2249, 269, 10765, 2090, 723, 3254, 8101, 20214, 538, 20659, 2773, 538, 930, 7658, 739, 3165, 2249, 267, 855, 1100, 1689, 610, 1256, 8476, 2773, 538, 1866, 269, 25408, 15877, 267, 2705, 267, 616, 2090, 593, 519, 2360, 540, 2282, 1922, 1956, 2910, 273, 2175, 593, 3677, 8544, 334, 543, 30085, 11975, 267, 971, 607, 1714, 11047, 984, 13361, 338, 269, 634, 3134, 879, 30592, 16356, 630, 295, 28087, 1097, 961, 1756, 522, 3250, 23628, 264, 2729, 593, 13719, 14147, 11818, 1166, 1846, 543, 538, 561, 6210, 976, 267, 1141, 621, 949, 4749, 7237, 2110, 3856, 5712, 540, 2825, 3834, 2135, 807, 543, 11506, 2910, 273, 267, 2523, 1282, 27248, 1970, 29500, 269, 11569, 267, 670, 269, 522, 3250, 23628, 568, 26526, 27031, 547, 2110, 5712, 630, 327, 2293, 264, 540, 3834, 2135, 807, 267, 543, 7654, 5409, 5115, 11844, 267, 855, 4986, 568, 1634, 827, 922, 3210, 547, 12675, 4598, 269, 1284, 6534, 670, 269, 522, 3250, 23628, 2043, 547, 1852, 630, 29496, 18725, 520, 332, 264, 610, 835, 540, 1079, 2282, 1922, 1956, 2910, 273, 5574, 630, 7785, 610, 476, 279, 3199, 18725, 520, 332, 264, 585, 513, 5934, 540, 476, 2568, 2395, 543, 1287, 6027, 1883, 3344, 540, 741, 7929, 17550, 267, 12077, 519, 16889, 5135, 4616, 2557, 267, 799, 568, 1031, 547, 7447, 16889, 10894, 2557, 267, 543, 2565, 5135, 8082, 267, 513, 21285, 585, 3834, 2135, 807, 8417, 269, 26681, 540, 891, 7929, 10305, 729, 4299, 676, 519, 1279, 3856, 4598, 547, 11506, 2910, 273, 269, 5015, 267, 972, 729, 1100, 1689, 538, 3632, 3433, 5348, 628, 848, 2534, 267, 513, 10408, 13525, 540, 20659, 1648, 2504, 269, 26736, 2742, 22833, 12365, 622, 9830, 941, 3648, 11506, 538, 16142, 6534, 547, 476, 7785, 543, 476, 279, 3199, 18725, 520, 332, 2910, 273, 5574, 267, 10834, 602, 3679, 2670, 729, 4440, 15286, 676, 9431, 2242, 538, 3679, 1700, 19668, 4143, 12274, 269, 9210, 879, 30592, 16142, 949, 4061, 4865, 14624, 602, 24705, 10892, 547, 2910, 273, 2157, 15810, 547, 2049, 538, 519, 5836, 676, 519, 1439, 540, 713, 2540, 269, 898, 3788, 7334, 2436, 824, 1714, 11047, 984, 13361, 338, 267, 2523, 10652, 20723, 2249, 602, 798, 711, 1995, 971, 1019, 19012, 15088, 538, 741, 1604, 267, 786, 581, 8449, 27031, 563, 763, 5313, 2229, 2115, 547, 2628, 811, 3007, 547, 1018, 568, 1419, 5219, 547, 607, 968, 1492, 824, 3327, 8166, 1966, 892, 1107, 519, 3679, 2305, 540, 519, 12084, 1107, 547, 948, 588, 1511, 1055, 7839, 3441, 547, 16872, 267, 9235, 543, 7088, 4027, 267, 2687, 547, 513, 1007, 5313, 1867, 563, 763, 1867, 689, 519, 6554, 10055, 1464, 8433, 267, 6837, 685, 4585, 27594, 267, 11943, 602, 5313, 8387, 723, 1500, 930, 3356, 7598, 513, 476, 1220, 280, 1876, 593, 3679, 2305, 269, 1809, 789, 10093, 1406, 2944, 2614, 563, 2690, 1383, 267, 519, 21781, 302, 1767, 267, 606, 954, 698, 1890, 2324, 1895, 669, 8529, 676, 519, 4972, 540, 25642, 779, 2817, 7909, 545, 543, 27321, 10029, 267, 814, 1044, 3964, 267, 607, 2838, 269, 1656, 621, 814, 2919, 513, 1382, 543, 5464, 1544, 602, 14592, 3268, 547, 1732, 1174, 5836, 3679, 2305, 269, 1809, 519, 8041, 3238, 723, 2943, 547, 2936, 1896, 540, 519, 1876, 779, 4170, 267, 1519, 1346, 7231, 609, 519, 6578, 2556, 547, 2936, 513, 1382, 543, 5464, 1544, 269, 0, 293, 553, 24975, 30091, 3340, 519, 11852, 540, 513, 1362, 540, 2166, 4614, 710, 2926, 1162, 267, 799, 1331, 519, 594, 4753, 1920, 269, 275, 769, 3425, 267, 519, 594, 4753, 1920, 2882, 8713, 303, 268, 3953, 543, 700, 4338, 268, 274, 2926, 1162, 269, 17832, 23355, 540, 674, 553, 676, 2901, 519, 674, 553, 14270, 663, 610, 519, 4550, 6363, 553, 17193, 6385, 22262, 519, 2926, 32673, 2534, 540, 594, 4753, 5946, 269, 744, 3164, 343, 16054, 540, 519, 594, 4753, 5946, 9244, 1494, 11230, 919, 674, 553, 24975, 1591, 2669, 282, 20127, 540, 594, 4753, 5946, 21391, 519, 26586, 5328, 1184, 269, 4935, 267, 8159, 519, 4082, 540, 594, 4753, 1920, 5946, 568, 606, 1271, 15262, 585, 5464, 519, 1591, 2669, 1184, 563, 7628, 3339, 1591, 2208, 5933, 267, 519, 1920, 540, 645, 743, 268, 273, 5946, 568, 1459, 607, 519, 21087, 1235, 540, 1591, 2669, 269, 1879, 519, 2669, 5365, 568, 4843, 547, 519, 1591, 267, 519, 4082, 540, 645, 743, 5946, 568, 1524, 15696, 4327, 267, 799, 2337, 519, 2669, 5365, 547, 9594, 519, 11852, 540, 519, 594, 4753, 2926, 848, 1920, 269, 9182, 267, 519, 1591, 25457, 513, 8984, 30091, 1184, 602, 2882, 1439, 517, 1075, 3161, 11852, 267, 1591, 2627, 27327, 267, 543, 11118, 25063, 556, 32360, 269, 16828, 267, 519, 1591, 25457, 943, 698, 26014, 2670, 269, 769, 30091, 267, 519, 12955, 1591, 568, 17515, 4352, 519, 12982, 3210, 568, 711, 13251, 269, 0, 4692, 11197, 556, 268, 22056, 22868, 262, 703, 836, 17156, 888, 2690, 519, 2063, 1614, 1296, 11197, 2160, 814, 8036, 5520, 547, 1589, 899, 19378, 22868, 269, 3571, 8429, 786, 2322, 602, 4674, 547, 519, 1449, 538, 519, 1296, 6619, 563, 7343, 548, 814, 1185, 606, 4674, 896, 1259, 547, 21613, 19378, 22868, 262, 1935, 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 ]
[ 25789, 293, 16276, 543, 27147, 269, 8299, 14647, 568, 1031, 538, 13389, 543, 17293, 693, 32726, 3204, 17654, 6925, 899, 1100, 824, 4099, 538, 519, 1158, 585, 11766, 532, 25789, 293, 883, 19758, 2495, 519, 3003, 5650, 666, 581, 12913, 1510, 519, 946, 540, 9357, 1944, 5982, 269, 4429, 299, 3133, 30315, 1299, 700, 3133, 26618, 28154, 910, 20279, 267, 29255, 281, 13106, 30249, 14037, 4659, 1280, 1975, 1400, 15136, 281, 13106, 30249, 14037, 31048, 517, 454, 307, 27434, 700, 3133, 30315, 1299, 700, 3133, 26618, 28154, 7674, 20279, 267, 29255, 269, 13555, 721, 693, 476, 27005, 268, 4200, 275, 268, 280, 5038, 278, 610, 3643, 721, 693, 476, 7742, 271, 674, 1180, 1066, 10003, 267, 2672, 924, 476, 13975, 267, 20279, 267, 29255, 476, 278, 3583, 8287, 281, 13106, 30249, 14037, 4659, 1280, 1975, 1400, 15136, 454, 7804, 269, 3204, 1400, 323, 700, 269, 30460, 910, 5440, 13106, 30249, 14037, 1975, 710, 31048, 517, 910, 4035, 9116, 13106, 30249, 14037, 297, 1168, 9116, 13106, 30249, 14037, 18669, 454, 293, 3271, 573, 553, 3689, 2455, 1014, 1977, 1975, 710, 31048, 517, 1923, 3220, 269, 30460, 568, 8274, 2275, 1068, 1881, 13106, 11985, 14037, 31048, 517, 609, 513, 4427, 338, 2133, 640, 538, 1975, 710, 17889, 543, 1975, 710, 15136, 454, 15031, 550, 2475, 276, 6078, 3374, 278, 277, 910, 2561, 541, 9850, 585, 8156, 11983, 4524, 910, 5616, 4793, 757, 454, 2304, 4835, 25231, 1062, 2882, 513, 6292, 540, 15498, 762, 22203, 585, 20387, 593, 2901, 2427, 540, 519, 11983, 6241, 1071, 268, 2169, 2400, 609, 513, 6712, 540, 519, 11983, 6241, 547, 581, 5701, 269, 3690, 2091, 13063, 14461, 569, 1921, 519, 22203, 1927, 538, 22274, 268, 777, 691, 6252, 11460, 547, 1683, 513, 1770, 776, 4835, 25231, 11689, 1944, 2497, 269, 623, 4202, 540, 12979, 832, 538, 519, 1106, 540, 524, 32332, 616, 3177, 609, 835, 540, 1142, 6292, 593, 9757, 29529, 3157, 540, 1142, 5697, 26485, 538, 519, 6712, 540, 519, 11983, 6241, 547, 581, 5701, 269, 589, 8465, 1101, 17063, 4759, 11498, 689, 1142, 19671, 524, 4428, 547, 513, 19492, 557, 593, 513, 9757, 11425, 593, 2901, 2427, 540, 519, 11983, 6241, 585, 20808, 1367, 26485, 538, 513, 24441, 4087, 3448, 547, 519, 4835, 25231, 1062, 543, 1996, 512, 832, 1308, 4229, 4294, 998, 519, 11983, 6241, 269, 589, 2417, 19671, 568, 3177, 593, 519, 8095, 748, 1184, 540, 519, 5697, 26485, 269, 5822, 8465, 17063, 2818, 8831, 689, 519, 9757, 524, 32332, 593, 519, 29529, 3157, 547, 519, 19671, 593, 519, 8095, 748, 1184, 538, 1931, 547, 2061, 454, 5263, 310, 4741, 585, 1975, 1400, 15136, 1923, 670, 1716, 7007, 5494, 454, 5263, 310, 4741, 585, 1975, 1400, 15136, 670, 1716, 7007, 5494, 910, 3776, 2853, 5713, 10783, 29247, 267, 7054, 1324, 267, 1488, 28002, 543, 4478, 2127, 538, 7147, 563, 303, 26059, 13256, 5508, 5990, 29206, 309, 12224, 292, 16576, 3201, 20591, 298, 1923, 808, 24717, 17889, 1923, 634, 808, 24717, 8416, 454, 19860, 29767, 2467, 568, 513, 3395, 7071, 540, 519, 4644, 540, 519, 954, 591, 974, 13887, 12210, 538, 922, 2078, 547, 11983, 2068, 269, 1879, 621, 568, 15422, 602, 519, 454, 4785, 30171, 585, 700, 29856, 12636, 30651, 17102, 543, 1505, 30171, 630, 15031, 550, 1948, 476, 276, 267, 27420, 267, 22550, 9783, 4989, 476, 2918, 267, 476, 1960, 275, 264, 910, 3807, 807, 4793, 757, 2483, 288, 11983, 30651, 17102, 543, 1505, 13296, 1585, 2609, 616, 15841, 547, 519, 26485, 543, 519, 5485, 5300, 540, 513, 12636, 543, 616, 28729, 10562, 547, 3035, 513, 24441, 30651, 543, 5924, 15494, 540, 513, 1880, 11983, 2783, 269, 634, 17102, 2882, 7895, 1834, 25336, 267, 5642, 25336, 267, 5485, 1537, 22203, 267, 1016, 331, 3133, 541, 29945, 267, 8095, 748, 1184, 29945, 267, 19976, 22203, 267, 14694, 22203, 267, 8471, 954, 31904, 267, 11425, 804, 10102, 267, 543, 7895, 1834, 17684, 12979, 832, 267, 782, 540, 799, 666, 581, 11593, 10562, 883, 513, 24441, 4020, 607, 513, 11983, 30651, 17102, 269, 589, 3276, 337, 3391, 17102, 568, 3177, 547, 5965, 519, 1569, 3135, 585, 513, 7895, 1834, 17684, 543, 513, 5485, 1537, 17684, 3391, 568, 1031, 547, 8308, 5447, 519, 12681, 9475, 585, 519, 5485, 1537, 25336, 563, 7804, 269, 6754, 645, 269, 2052, 1446, 267, 11022, 267, 1975, 710, 31048, 517, 267, 667, 7469, 928, 267, 9338, 267, 476, 18458, 2918, 454, 7804, 269, 6754, 645, 269, 2052, 1446, 267, 11022, 267, 568, 513, 1975, 710, 31048, 517, 538, 667, 7469, 928, 267, 9338, 945, 13000, 1585, 12636, 4713, 269, 3194, 1010, 2259, 267, 2027, 3074, 267, 543, 7662, 606, 13393, 563, 7804, 269, 21563, 576, 5484, 11312, 267, 11022, 267, 28543, 267, 29255, 267, 476, 4037, 273, 4029, 454, 7804, 269, 21563, 576, 5484, 11312, 568, 513, 4604, 14468, 267, 31776, 2389, 11712, 30194, 12362, 12636, 18874, 538, 28543, 267, 7147, 945, 13000, 782, 3344, 540, 11983, 3676, 543, 28115, 894, 4713, 540, 519, 5247, 25714, 267, 17818, 543, 561, 29856, 12636, 269, 3220, 269, 5484, 11312, 24870, 538, 1439, 25646, 543, 30194, 12362, 6391, 585, 3102, 2126, 540, 519, 17818, 267, 5247, 25714, 543, 561, 29856, 12636, 269, 1261, 2488, 519, 1034, 4359, 2553, 543, 5969, 8354, 2029, 538, 12391, 585, 1010, 2550, 269, 3571, 946, 540, 1439, 25646, 2553, 24024, 3441, 547, 2571, 8031, 543, 4887, 267, 14874, 519, 991, 547, 4894, 5642, 610, 28587, 267, 543, 9247, 23352, 2022, 10869, 1085, 18732, 267, 3976, 10893, 2022, 10869, 1928, 543, 6051, 942, 269, 901, 2636, 2550, 547, 2132, 547, 606, 3742, 267, 1928, 6954, 6197, 1454, 18334, 907, 3220, 269, 21563, 576, 5484, 11312, 568, 513, 3687, 574, 958, 12833, 5297, 1975, 710, 31048, 517, 609, 519, 3687, 574, 958, 12833, 5297, 1975, 710, 4659, 269, 4429, 4944, 1400, 4524, 1496, 23330, 894, 11671, 338, 29864, 2639, 8967, 1400, 4713, 616, 7839, 543, 1860, 2141, 811, 1004, 3976, 519, 3003, 6406, 5980, 282, 1394, 1928, 568, 519, 2034, 2601, 3743, 585, 15534, 2465, 1143, 689, 960, 1310, 519, 1455, 13441, 269, 2755, 519, 3586, 5397, 585, 519, 1646, 540, 2141, 811, 10427, 12636, 6391, 4066, 568, 6607, 13702, 7566, 267, 972, 568, 1100, 6654, 3606, 3782, 4324, 282, 12636, 6391, 14469, 2557, 3788, 1164, 910, 827, 476, 1015, 268, 1428, 260, 693, 476, 1015, 1296, 269, 634, 2518, 2551, 568, 4867, 18460, 606, 16057, 6521, 538, 922, 2085, 2497, 1813, 547, 13302, 12680, 3928, 543, 2810, 1272, 19104, 269, 1306, 513, 1267, 267, 19353, 5001, 786, 581, 2838, 547, 4383, 606, 2810, 1297, 540, 11983, 4713, 1808, 547, 519, 11361, 543, 519, 10172, 540, 519, 12636, 269, 26744, 569, 2043, 10460, 2189, 2591, 547, 1072, 1416, 1949, 543, 547, 11983, 13500, 607, 891, 2550, 3335, 723, 606, 2799, 1297, 540, 2564, 32435, 885, 267, 4389, 5642, 5860, 2527, 267, 811, 4049, 11983, 23979, 543, 513, 3152, 4412, 3748, 547, 8813, 476, 272, 1040, 10025, 666, 581, 4429, 8967, 710, 17889, 2806, 5802, 1923, 6481, 21094, 1923, 1977, 6481, 5516, 454, 2171, 723, 513, 1804, 3060, 540, 3318, 23262, 602, 616, 4810, 538, 11983, 6391, 267, 543, 616, 4712, 547, 948, 596, 9156, 689, 5945, 610, 2087, 707, 11983, 2783, 269, 1403, 596, 991, 12636, 6391, 267, 596, 666, 3972, 721, 547, 1491, 11108, 1416, 540, 596, 543, 547, 1683, 596, 609, 3318, 2564, 1416, 693, 513, 3902, 596, 666, 6488, 454, 8967, 1400, 17889, 11773, 15580, 538, 3127, 585, 1488, 628, 14029, 8084, 1975, 710, 914, 1562, 5177, 454, 4263, 1975, 710, 17889, 3127, 267, 649, 616, 25964, 547, 23754, 596, 1521, 707, 11983, 2783, 267, 607, 649, 723, 938, 2990, 593, 519, 2518, 2564, 26750, 29810, 538, 4947, 609, 1655, 12636, 6391, 1967, 2557, 538, 3127, 563, 29369, 290, 7454, 11233, 585, 1975, 710, 17889, 910, 7454, 681, 730, 454, 12988, 17889, 610, 1975, 710, 17889, 568, 513, 5650, 547, 1689, 513, 2550, 14169, 267, 971, 607, 9427, 513, 1200, 333, 7007, 1167, 602, 568, 4929, 1928, 267, 547, 1683, 1928, 8323, 269, 1975, 710, 6391, 2501, 609, 1981, 540, 8374, 269, 3371, 616, 519, 1592, 540, 12924, 290, 1655, 10506, 585, 12636, 6391, 543, 1592, 540, 1283, 12636, 23262, 538, 562, 26338, 269, 594, 723, 2813, 713, 1592, 540, 7454, 1975, 710, 31048, 976, 543, 9869, 8558, 538, 12924, 290, 547, 948, 596, 856, 547, 3442, 707, 18874, 269, 1411, 961, 1265, 513, 1592, 540, 32258, 267, 1826, 540, 2126, 543, 3346, 3877, 585, 12636, 23262, 610, 12636, 6391, 10506, 538, 12924, 290, 269, 4429, 5723, 271, 4391, 276, 645, 3930, 574, 559, 1513, 538, 28039, 15436, 1108, 11916, 6657, 268, 717, 8724, 20504, 766, 538, 15043, 2622, 268, 16987, 1466, 689, 3162, 15242, 1923, 2483, 5472, 476, 278, 2550, 609, 17241, 941, 12713, 268, 3534, 633, 267, 4607, 519, 19777, 24678, 20336, 2752, 9169, 543, 6913, 1121, 2153, 538, 476, 274, 3275, 269, 2776, 2126, 3328, 667, 3008, 6060, 729, 476, 276, 269, 4792, 543, 476, 274, 3275, 1739, 2126, 267, 519, 3328, 667, 3008, 476, 2764, 6060, 729, 476, 273, 269, 4905, 267, 799, 2982, 1713, 6454, 269, 634, 8004, 609, 590, 4041, 814, 15527, 13497, 1739, 631, 629, 339, 553, 3797, 269, 769, 519, 1975, 1180, 2643, 23537, 6605, 4331, 1895, 267, 782, 855, 835, 1185, 11983, 2068, 1152, 269, 2776, 2126, 3328, 32577, 6395, 296, 729, 476, 277, 269, 5038, 543, 476, 274, 3275, 1739, 19777, 574, 559, 1513, 32577, 6395, 296, 729, 476, 273, 269, 277, 269, 1677, 4266, 1100, 3468, 633, 8374, 941, 4080, 269, 2353, 616, 9738, 593, 5711, 20336, 2752, 9169, 2901, 29034, 582, 516, 343, 622, 610, 700, 1030, 331, 684, 558, 728, 1510, 28335, 269, 4429, 11902, 17988, 910, 769, 9679, 2657, 454, 2691, 1058, 594, 2015, 6391, 27085, 17889, 568, 8612, 950, 15061, 3797, 14543, 267, 519, 3461, 3587, 14524, 531, 543, 5924, 519, 3461, 568, 7680, 11636, 14715, 2042, 907, 17889, 568, 3335, 519, 2063, 18992, 950, 621, 2501, 547, 8156, 11983, 2175, 538, 519, 8405, 610, 1394, 269, 1403, 1585, 30194, 12362, 543, 1875, 268, 10869, 5574, 723, 1044, 13986, 1510, 6454, 543, 519, 2550, 2783, 7707, 839, 936, 942, 267, 1287, 10551, 2126, 949, 581, 5227, 269, 634, 3375, 585, 6391, 1058, 581, 25191, 547, 519, 3461, 267, 519, 2550, 2589, 543, 519, 2550, 1377, 540, 1599, 907, 2549, 594, 513, 11134, 585, 30194, 12362, 12636, 6391, 27085, 634, 2361, 540, 30194, 12362, 12636, 6391, 5170, 547, 1332, 543, 1082, 23361, 616, 5340, 593, 606, 30229, 4493, 269, 15742, 2175, 949, 2154, 606, 538, 1790, 520, 1304, 270, 13449, 5650, 267, 971, 607, 513, 4049, 1085, 10008, 2670, 267, 11983, 12970, 543, 930, 5563, 269, 2659, 18874, 786, 2689, 782, 5650, 3681, 609, 596, 907, 1684, 594, 991, 606, 18909, 267, 29640, 2480, 534, 543, 5924, 606, 4429, 20797, 2861, 10243, 532, 585, 1552, 775, 2042, 1923, 16711, 538, 6657, 454, 302, 5723, 568, 1950, 269, 634, 1034, 4922, 1634, 10835, 568, 20882, 538, 11666, 775, 281, 2348, 547, 19060, 547, 519, 16003, 607, 4166, 607, 519, 9963, 540, 519, 991, 547, 1780, 10729, 267, 855, 1419, 682, 1136, 1354, 3478, 972, 269, 769, 1034, 2665, 267, 519, 2014, 568, 7164, 543, 949, 4755, 693, 1022, 2085, 267, 855, 621, 666, 849, 2049, 607, 513, 1267, 540, 14715, 543, 11983, 3676, 543, 8194, 547, 519, 2634, 610, 12636, 269, 1717, 267, 972, 568, 849, 23473, 267, 799, 568, 519, 1482, 991, 547, 19060, 547, 519, 16003, 267, 855, 1510, 2965, 682, 1136, 269, 634, 824, 2694, 540, 519, 6794, 616, 4908, 630, 928, 5338, 547, 1780, 10729, 811, 982, 519, 3328, 2947, 610, 3670, 2053, 513, 1554, 267, 593, 513, 2834, 4493, 264, 543, 1100, 551, 22202, 630, 928, 5338, 547, 1205, 909, 693, 3781, 910, 2899, 610, 7466, 513, 3781, 568, 3339, 267, 2523, 538, 4587, 1004, 267, 855, 811, 982, 602, 568, 513, 1966, 264, 907, 16170, 342, 23293, 4429, 24876, 513, 7982, 7982, 676, 932, 3089, 570, 1231, 2917, 454, 5978, 1360, 1434, 3659, 18238, 13879, 630, 290, 2194, 664, 4563, 540, 12650, 333, 2349, 2931, 7256, 17268, 264, 568, 2348, 547, 723, 1394, 6391, 547, 8396, 11983, 2068, 269, 17497, 646, 568, 8572, 547, 960, 267, 543, 789, 616, 2348, 513, 2182, 942, 1818, 7475, 2743, 1063, 2564, 12014, 543, 4429, 4910, 738, 540, 9615, 585, 26744, 569, 21111, 609, 31177, 674, 847, 675, 1923, 10854, 330, 758, 11233, 1912, 4157, 564, 910, 4139, 9869, 8558, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2830, 269, 630, 1960, 275, 1040, 3245, 3308, 2262, 2042, 547, 1565, 2950, 281, 21744, 1523, 687, 540, 5042, 1382, 269, 769, 918, 269, 17755, 11035, 630, 10955, 4700, 15858, 4245, 281, 23889, 5042, 3069, 543, 4928, 605, 716, 823, 563, 23173, 8822, 10790, 281, 20037, 4964, 563, 290, 4321, 3163, 630, 1960, 274, 264, 476, 1704, 630, 272, 1070, 3967, 5336, 1105, 269, 7981, 17136, 281, 32163, 730, 11059, 269, 7439, 6229, 267, 27359, 281, 589, 1076, 343, 563, 31890, 267, 589, 1421, 9466, 267, 808, 269, 590, 1421, 1299, 1715, 2006, 267, 590, 269, 661, 269, 630, 2735, 280, 1040, 15465, 29095, 1222, 281, 9752, 519, 13492, 540, 2542, 267, 1603, 267, 543, 6128, 269, 769, 700, 269, 645, 269, 1763, 333, 1157, 630, 10955, 4700, 18833, 267, 1565, 267, 543, 6044, 281, 10749, 538, 8956, 540, 7917, 3794, 6471, 267, 22193, 23014, 267, 27359, 281, 8210, 331, 29231, 563, 291, 550, 267, 595, 269, 630, 1960, 271, 1040, 1323, 8733, 1935, 547, 1893, 1646, 281, 1323, 4244, 6198, 1143, 269, 25833, 5369, 984, 5735, 269, 476, 2537, 263, 278, 264, 476, 277, 3583, 268, 3583, 274, 563, 10972, 590, 612, 320, 267, 589, 269, 589, 269, 630, 2735, 279, 1040, 1548, 786, 621, 1611, 547, 581, 968, 14445, 730, 892, 538, 476, 1708, 271, 286, 769, 681, 269, 590, 269, 19162, 3205, 1299, 623, 269, 623, 269, 2098, 617, 6062, 919, 630, 32295, 13776, 5303, 538, 2069, 281, 18391, 4724, 476, 1708, 271, 269, 22193, 23014, 267, 27359, 281, 8210, 331, 29231, 563, 291, 582, 990, 267, 667, 269, 717, 267, 715, 773, 267, 700, 267, 1299, 632, 31864, 267, 631, 269, 631, 269, 630, 1001, 273, 1040, 4197, 6488, 1734, 281, 3778, 543, 4207, 7835, 540, 18582, 5459, 779, 3844, 1523, 269, 20724, 19611, 267, 8633, 263, 273, 1070, 476, 2764, 268, 4375, 563, 8777, 548, 267, 681, 269, 589, 269, 630, 1220, 277, 1040, 13368, 532, 4205, 547, 6536, 30462, 1565, 281, 589, 2198, 894, 7778, 540, 4483, 538, 513, 2146, 540, 6267, 4928, 269, 808, 269, 540, 519, 4804, 7070, 476, 1428, 263, 275, 264, 476, 26493, 268, 4335, 563, 294, 756, 5459, 267, 661, 269, 808, 1421, 1299, 17292, 267, 589, 269, 667, 269, 630, 1220, 271, 1040, 1323, 8733, 1935, 547, 829, 24632, 1565, 543, 1646, 269, 12924, 267, 12924, 281, 10228, 2160, 4964, 563, 294, 756, 5459, 267, 808, 269, 808, 269, 630, 2735, 277, 1040, 634, 8733, 1935, 547, 3308, 8226, 269, 22193, 23014, 267, 27359, 281, 8210, 331, 29231, 563, 10908, 6471, 267, 681, 269, 630, 1960, 272, 1040, 16869, 1047, 543, 4879, 269, 769, 631, 5861, 269, 654, 8636, 13702, 1299, 661, 11482, 11065, 6033, 630, 32295, 4700, 13281, 543, 595, 10744, 267, 1621, 548, 6229, 1849, 14554, 267, 27359, 281, 623, 1370, 823, 8065, 267, 6032, 269, 1704, 268, 1789, 563, 16675, 334, 267, 808, 269, 717, 269, 630, 1960, 279, 1040, 634, 2198, 18356, 540, 6616, 267, 1565, 267, 543, 1382, 269, 1977, 5369, 6048, 267, 476, 7871, 263, 272, 1070, 476, 276, 268, 2918, 563, 16675, 334, 267, 808, 269, 717, 269, 630, 1960, 278, 1040, 2201, 6811, 602, 2626, 519, 4636, 2243, 269, 12409, 3194, 267, 476, 2918, 263, 272, 1070, 476, 276, 268, 1704, 269, 6423, 849, 5213, 332, 1195, 518, 267, 681, 269, 4985, 281, 1607, 17136, 281, 4676, 1371, 532, 593, 4804, 630, 653, 269, 476, 275, 267, 476, 4097, 264, 543, 18722, 267, 808, 269, 681, 1421, 4414, 518, 267, 700, 269, 631, 1421, 1299, 17363, 267, 670, 269, 589, 269, 1234, 329, 10133, 281, 32163, 894, 8957, 5042, 5380, 281, 4813, 8957, 6219, 630, 907, 476, 1240, 268, 2420, 264, 1482, 3390, 563, 16675, 334, 267, 808, 269, 717, 269, 630, 1960, 275, 1040, 18582, 5459, 779, 6488, 1734, 269, 16723, 5623, 267, 476, 6200, 263, 273, 1070, 476, 26951, 268, 31079, 563, 16675, 334, 267, 808, 269, 717, 269, 630, 2735, 280, 1040, 589, 5133, 593, 3206, 269, 1977, 5369, 6048, 267, 476, 4510, 267, 476, 16328, 268, 15221, 563, 16675, 334, 267, 808, 269, 717, 269, 630, 1220, 277, 1040, 8191, 520, 894, 267, 18177, 17568, 543, 4448, 267, 2489, 6616, 281, 28626, 4798, 538, 1620, 4483, 269, 808, 269, 540, 519, 4804, 7070, 476, 1428, 263, 275, 264, 476, 276, 4375, 268, 20862, 563, 16675, 334, 267, 808, 269, 717, 269, 19556, 543, 11660, 3206, 538, 13460, 543, 824, 3871, 269, 630, 4375, 268, 8618, 1916, 16675, 334, 267, 808, 269, 717, 267, 1299, 519, 9049, 21587, 4338, 294, 630, 1960, 279, 1040, 634, 2198, 18356, 540, 6616, 267, 1565, 267, 543, 1382, 269, 1977, 5369, 6048, 267, 476, 7871, 263, 272, 1070, 476, 276, 268, 1626, 563, 26364, 858, 514, 267, 631, 269, 631, 269, 630, 1960, 276, 1040, 1411, 666, 1406, 1205, 972, 689, 1934, 281, 32163, 730, 1565, 267, 4483, 267, 543, 4786, 1983, 269, 2552, 3944, 3229, 12409, 10017, 267, 476, 736, 267, 476, 4792, 268, 9262, 563, 294, 745, 828, 267, 808, 1421, 700, 2967, 16644, 784, 267, 700, 1421, 13495, 331, 267, 670, 1421, 1299, 11412, 9383, 267, 589, 269, 630, 1960, 277, 1040, 32163, 730, 1565, 543, 4483, 269, 769, 623, 269, 1234, 574, 2335, 1299, 670, 269, 1975, 3385, 630, 32295, 4700, 4804, 538, 3425, 543, 6191, 281, 19331, 731, 606, 15834, 1565, 2257, 269, 10228, 281, 623, 1120, 17868, 563, 295, 10098, 572, 267, 715, 269, 630, 1220, 273, 1040, 1323, 8733, 1935, 547, 20032, 543, 17133, 269, 15465, 7010, 3194, 263, 274, 1070, 476, 29579, 1107, 476, 26482, 563, 295, 617, 2471, 267, 645, 269, 630, 1220, 280, 1040, 26954, 22964, 3901, 923, 281, 18880, 267, 13972, 673, 14249, 267, 6988, 267, 543, 12391, 269, 26285, 3901, 923, 1299, 595, 10744, 267, 476, 1704, 263, 274, 1070, 476, 277, 2764, 1700, 4792, 273, 563, 295, 617, 2471, 267, 645, 269, 670, 269, 630, 1001, 275, 1040, 9406, 532, 1893, 281, 513, 2070, 689, 8733, 6530, 269, 5678, 7070, 267, 476, 6078, 267, 476, 11152, 268, 9818, 563, 31359, 267, 661, 269, 681, 269, 630, 1960, 272, 1040, 30527, 538, 1382, 269, 12409, 1763, 792, 7815, 267, 476, 736, 630, 277, 1070, 476, 273, 268, 280, 563, 298, 597, 3333, 267, 667, 1421, 1299, 7395, 331, 1470, 267, 623, 269, 630, 1960, 275, 1040, 2201, 23243, 19815, 2438, 689, 31544, 2962, 269, 15465, 3163, 267, 476, 1240, 267, 476, 276, 1724, 268, 276, 5392, 563, 298, 597, 3333, 1676, 267, 667, 1421, 1299, 1733, 1080, 517, 267, 808, 269, 589, 269, 630, 1960, 279, 1040, 26861, 8163, 547, 1620, 17133, 607, 13883, 269, 12409, 1763, 792, 7815, 267, 476, 2767, 263, 279, 1070, 476, 2420, 268, 2764, 563, 298, 1872, 2401, 267, 26396, 267, 30647, 25366, 267, 20943, 8688, 320, 4149, 24849, 630, 1960, 272, 1040, 634, 1909, 540, 4482, 832, 538, 519, 1582, 268, 32360, 540, 18532, 1949, 269, 769, 681, 269, 681, 269, 32129, 2006, 543, 667, 269, 590, 269, 6022, 1069, 334, 630, 32295, 4700, 595, 10744, 543, 519, 13507, 545, 22948, 269, 22193, 23014, 267, 27359, 281, 8210, 331, 29231, 563, 31690, 749, 267, 623, 269, 630, 1220, 280, 1040, 681, 996, 9722, 1893, 267, 2247, 543, 1158, 13972, 1227, 281, 5793, 716, 1308, 543, 13865, 6436, 540, 1480, 454, 338, 1619, 6194, 269, 22434, 4989, 476, 280, 476, 1001, 271, 689, 5291, 2517, 9248, 269, 2998, 4355, 2593, 270, 9248, 286, 573, 284, 7871, 328, 273, 8016, 304, 307, 29262, 330, 290, 261, 2745, 5913, 284, 12506, 16225, 261, 323, 336, 284, 704, 266, 4802, 749, 261, 25899, 284, 4565, 261, 1824, 30381, 272, 2675, 271, 297, 310, 275, 329, 342, 261, 338, 580, 284, 7922, 11266, 330, 272, 333, 301, 322, 2914, 290, 9926, 30298, 304, 326, 342, 291, 279, 1321, 4141, 7417, 261, 25632, 284, 523, 261, 324, 328, 284, 313, 293, 332, 277, 306, 275, 345, 276, 291, 8619, 27942, 17682, 19553, 337, 273, 31357, 326, 261, 21542, 284, 311, 261, 16211, 284, 1504, 318, 14310, 261, 551, 284, 14310, 261, 637, 11133, 284, 275, 261, 1386, 284, 271, 290, 289, 322, 304, 277, 20067, 342, 288, 342, 258, 341, 284, 517, 788, 720, 261, 336, 261, 325, 284, 32401, 454, 20181, 523, 560, 1329, 269, 717, 269, 630, 1960, 275, 264, 10017, 540, 7279, 281, 589, 2689, 543, 5368, 614, 13133, 566, 269, 16723, 28743, 267, 476, 14138, 263, 272, 1070, 476, 4037, 268, 7176, 563, 300, 698, 331, 1470, 267, 623, 269, 623, 1421, 4223, 6674, 267, 570, 1421, 681, 7469, 2801, 569, 267, 667, 1421, 595, 3062, 1157, 344, 267, 645, 1421, 1299, 17340, 3333, 267, 667, 269, 630, 1220, 271, 1040, 20308, 5578, 538, 1085, 4599, 1076, 269, 8281, 539, 476, 2537, 4924, 476, 1001, 273, 689, 5291, 2517, 611, 1066, 13824, 269, 1075, 338, 323, 12975, 31574, 597, 3333, 270, 9209, 2873, 11305, 9233, 857, 1922, 1400, 273, 11305, 9233, 857, 1922, 1400, 273, 11258, 454, 15812, 2006, 267, 589, 269, 645, 269, 1299, 6601, 526, 331, 267, 595, 269, 631, 269, 630, 1220, 276, 1040, 4790, 20995, 6436, 540, 22993, 17133, 269, 16723, 3163, 267, 476, 1626, 263, 272, 1040, 476, 277, 268, 1015, 563, 18404, 345, 267, 918, 269, 661, 269, 630, 1960, 276, 1040, 1234, 817, 20156, 540, 11095, 10148, 593, 1453, 779, 2257, 6044, 269, 5623, 540, 12409, 3194, 267, 476, 4792, 630, 273, 1070, 476, 11152, 268, 14096, 563, 300, 3796, 267, 700, 269, 918, 1421, 715, 785, 267, 700, 269, 918, 269, 1299, 5695, 3272, 267, 5839, 571, 324, 267, 595, 269, 715, 269, 630, 1001, 271, 1040, 25021, 998, 942, 269, 16723, 3163, 2676, 10468, 1211, 15595, 267, 623, 269, 631, 269, 630, 1220, 278, 1040, 2506, 7853, 532, 7553, 269, 3163, 267, 476, 22332, 267, 476, 1911, 273, 268, 1911, 276, 563, 10468, 1170, 518, 267, 772, 269, 630, 1220, 271, 1040, 15350, 281, 1548, 616, 519, 1271, 2055, 286, 769, 772, 269, 3026, 1170, 518, 1299, 594, 269, 661, 5754, 2006, 15350, 9866, 5703, 281, 5457, 532, 538, 7849, 12745, 338, 269, 29247, 23255, 281, 12924, 267, 12924, 563, 8110, 325, 564, 1729, 267, 717, 269, 589, 1421, 645, 4920, 5112, 267, 808, 6185, 269, 1299, 2605, 3471, 267, 808, 269, 808, 269, 630, 2735, 274, 1040, 4790, 571, 6493, 593, 1569, 538, 513, 1966, 6061, 2796, 269, 15350, 543, 595, 10744, 267, 476, 1556, 263, 272, 1070, 476, 2190, 268, 4029, 563, 30821, 3205, 267, 623, 269, 700, 269, 1299, 12928, 1952, 267, 715, 269, 674, 269, 630, 1960, 274, 1040, 18023, 532, 543, 5368, 28124, 2093, 281, 20472, 22999, 3450, 543, 1565, 538, 6128, 269, 769, 6789, 7374, 476, 1960, 274, 5729, 1504, 540, 12694, 543, 19793, 557, 906, 269, 6789, 7374, 21629, 563, 21659, 1231, 267, 623, 269, 1299, 15718, 4765, 324, 267, 631, 269, 630, 1220, 280, 1040, 11062, 18361, 540, 32163, 730, 595, 10744, 269, 630, 303, 269, 7605, 321, 1231, 1299, 631, 269, 15718, 4765, 324, 267, 661, 1091, 12175, 11785, 281, 11062, 772, 269, 4964, 563, 297, 269, 1299, 1849, 766, 344, 267, 654, 269, 808, 269, 630, 1960, 273, 1040, 4804, 607, 1514, 543, 8849, 269, 12409, 5369, 6048, 269, 476, 2767, 263, 275, 1070, 476, 31973, 268, 28526, 563, 305, 690, 4752, 267, 645, 267, 1299, 700, 1511, 267, 808, 269, 630, 1960, 280, 1040, 28064, 595, 10744, 281, 4706, 4886, 538, 4317, 12745, 269, 1715, 3840, 281, 1775, 4462, 5744, 563, 305, 1054, 267, 654, 5336, 269, 630, 1960, 277, 1040, 11310, 18236, 538, 513, 3446, 476, 275, 268, 276, 4928, 1282, 513, 1770, 593, 3540, 4702, 281, 1323, 2079, 540, 513, 4928, 2146, 538, 2474, 540, 922, 4657, 2200, 543, 2853, 269, 595, 10744, 543, 19019, 267, 476, 1691, 263, 273, 1070, 476, 9692, 268, 13136, 454, 21946, 14137, 267, 717, 1421, 3131, 9469, 267, 667, 269, 715, 1421, 1299, 3794, 984, 3205, 267, 570, 269, 630, 1960, 272, 1040, 16890, 538, 17133, 281, 6987, 2056, 1480, 4987, 609, 10995, 4066, 269, 12409, 1763, 792, 7815, 267, 476, 736, 263, 274, 1070, 476, 273, 268, 280, 563, 17092, 23177, 281, 772, 2529, 269, 1546, 696, 540, 8534, 630, 1960, 273, 1040, 15445, 12834, 454, 306, 11155, 523, 26709, 267, 589, 269, 670, 269, 1299, 4173, 337, 10458, 267, 667, 269, 808, 269, 630, 2735, 273, 1040, 9046, 8226, 543, 1702, 2497, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14903, 568, 476, 1428, 689, 519, 10167, 2496, 1892, 11810, 910, 692, 309, 815, 630, 275, 270, 274, 264, 14039, 678, 317, 274, 454, 323, 309, 7933, 339, 815, 476, 275, 14039, 678, 317, 273, 1743, 7933, 339, 692, 1220, 815, 476, 275, 14039, 630, 18597, 264, 1743, 7933, 339, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 692, 288, 20085, 17891, 568, 1373, 1102, 3836, 865, 602, 922, 4320, 568, 2810, 693, 519, 2557, 540, 476, 1220, 4699, 274, 26553, 269, 2311, 1018, 2557, 568, 519, 8953, 2810, 950, 519, 8953, 568, 476, 1428, 4699, 563, 273, 269, 12693, 13878, 9391, 948, 726, 714, 3960, 692, 288, 20085, 17891, 568, 1373, 1102, 3836, 543, 922, 8953, 568, 4657, 693, 519, 2557, 540, 476, 273, 332, 26553, 1393, 269, 1879, 519, 8953, 568, 476, 275, 332, 267, 1265, 519, 2557, 693, 799, 519, 281, 630, 320, 1040, 14179, 2541, 568, 2810, 966, 284, 476, 274, 270, 275, 2650, 678, 317, 273, 630, 321, 1040, 2627, 1858, 568, 2810, 589, 815, 476, 275, 2650, 678, 317, 273, 454, 274, 269, 12693, 882, 320, 1243, 3928, 692, 288, 20085, 17891, 568, 1373, 1102, 3836, 865, 602, 922, 4320, 568, 2810, 693, 519, 2557, 540, 476, 276, 12945, 11281, 829, 8792, 269, 4263, 1018, 2557, 568, 519, 8953, 2810, 950, 519, 8953, 568, 476, 277, 7397, 888, 275, 269, 12693, 6478, 9046, 4211, 531, 1529, 639, 692, 288, 20085, 17891, 568, 1373, 1102, 3836, 538, 971, 513, 1259, 602, 922, 8953, 4679, 693, 513, 2557, 540, 476, 274, 4699, 26553, 269, 1403, 519, 4320, 540, 519, 17891, 568, 476, 271, 693, 942, 476, 271, 267, 693, 1018, 2557, 568, 519, 4320, 2810, 1310, 476, 276, 3764, 888, 276, 269, 12693, 11810, 692, 1515, 568, 1373, 29253, 883, 513, 20085, 17891, 693, 513, 2557, 540, 476, 279, 4699, 317, 274, 26553, 269, 4855, 519, 2557, 693, 799, 519, 8953, 540, 519, 17891, 568, 2810, 950, 519, 17891, 781, 8953, 568, 476, 276, 4699, 563, 277, 269, 12693, 20145, 692, 288, 20085, 17891, 568, 1373, 1102, 3836, 865, 602, 267, 693, 519, 942, 950, 519, 8953, 568, 476, 276, 332, 267, 519, 8953, 568, 2810, 693, 519, 2557, 540, 476, 271, 269, 1428, 332, 4882, 269, 630, 288, 264, 4855, 519, 2557, 540, 2333, 540, 519, 4320, 693, 713, 942, 269, 630, 289, 264, 1403, 519, 2557, 540, 2333, 540, 4320, 27502, 6693, 278, 269, 12693, 20145, 13565, 26162, 692, 2252, 513, 20085, 17891, 568, 1102, 3836, 543, 922, 4320, 568, 2810, 693, 513, 2557, 540, 476, 277, 538, 317, 274, 26553, 269, 1548, 568, 519, 2557, 540, 1689, 540, 519, 8953, 950, 519, 8953, 568, 476, 274, 6279, 888, 279, 269, 12693, 20145, 692, 288, 20085, 17891, 568, 1373, 1102, 3836, 543, 519, 8953, 568, 2810, 693, 513, 3586, 2557, 540, 476, 273, 4699, 829, 8792, 269, 2311, 1018, 3928, 616, 519, 4320, 543, 2627, 1858, 540, 519, 17891, 2810, 950, 519, 8953, 568, 476, 276, 4699, 888, 280, 269, 12693, 20145, 692, 288, 20085, 17891, 568, 1373, 1102, 3836, 543, 519, 8953, 540, 519, 17891, 568, 2810, 693, 513, 2557, 540, 476, 273, 9492, 26553, 269, 2311, 1018, 3928, 616, 519, 4320, 543, 2627, 1858, 540, 519, 17891, 2810, 950, 519, 8953, 568, 476, 276, 9492, 888, 1015, 269, 12693, 705, 11810, 692, 21080, 568, 1373, 27762, 883, 513, 20085, 17891, 693, 519, 2557, 540, 476, 4037, 4699, 274, 4882, 269, 14419, 519, 2557, 693, 799, 519, 8953, 540, 519, 17891, 568, 2810, 950, 519, 8953, 568, 476, 2764, 4699, 780, 5415, 5381, 5999, 0, 258, 1548, 568, 519, 4110, 540, 513, 3529, 286, 630, 2026, 538, 267, 513, 3529, 5084, 307, 2020, 296, 1174, 602, 519, 4110, 540, 513, 6843, 568, 519, 1297, 540, 1453, 621, 814, 780, 4913, 267, 875, 798, 649, 5581, 519, 4110, 540, 513, 3529, 2496, 7042, 1103, 2489, 513, 3113, 814, 513, 5934, 4110, 543, 513, 5021, 4110, 267, 602, 568, 1175, 519, 5934, 2463, 643, 569, 519, 5021, 4110, 540, 782, 9136, 538, 519, 3113, 780, 2252, 513, 3113, 568, 737, 268, 10585, 267, 602, 568, 782, 9136, 723, 4010, 737, 30256, 267, 5934, 543, 5021, 4110, 3160, 737, 543, 519, 3113, 568, 1767, 547, 581, 540, 4110, 737, 780, 10303, 513, 3529, 568, 711, 737, 268, 10585, 596, 3112, 2161, 621, 814, 5552, 737, 267, 855, 596, 666, 1265, 922, 5934, 610, 5021, 5552, 780, 5226, 924, 1455, 616, 737, 268, 776, 4054, 267, 602, 616, 12082, 4054, 1141, 1142, 6843, 814, 693, 1034, 737, 1126, 338, 780, 7042, 9336, 6843, 568, 3294, 513, 3529, 269, 634, 4110, 540, 513, 3529, 568, 519, 4110, 540, 519, 3597, 6843, 780, 8894, 296, 1843, 519, 2034, 4845, 269, 1684, 596, 723, 513, 4214, 17548, 713, 286, 1107, 1109, 586, 335, 333, 657, 3057, 476, 1839, 1412, 6021, 693, 476, 274, 281, 1556, 692, 15368, 1227, 634, 4110, 540, 519, 3529, 568, 519, 2698, 1297, 540, 621, 781, 1453, 1775, 3887, 519, 2698, 1297, 9136, 602, 22132, 689, 621, 7868, 6978, 540, 519, 3529, 1281, 2254, 723, 1022, 1126, 865, 922, 4110, 568, 4642, 780, 763, 4110, 540, 513, 6843, 568, 519, 1297, 540, 851, 1431, 538, 519, 5705, 872, 799, 814, 602, 6843, 607, 519, 3597, 269, 715, 3941, 609, 4110, 284, 271, 616, 1572, 3762, 780, 7042, 2690, 513, 12082, 3529, 596, 1522, 5581, 621, 607, 519, 4110, 540, 519, 3597, 269, 769, 930, 7653, 6031, 621, 568, 519, 5021, 4110, 540, 1022, 6843, 538, 519, 3529, 1522, 1118, 2631, 269, 1809, 1510, 2796, 621, 568, 2182, 547, 2161, 1018, 519, 1318, 4214, 568, 269, 898, 5673, 593, 875, 596, 1616, 547, 946, 621, 543, 1018, 568, 1713, 827, 519, 834, 323, 12801, 257, 540, 513, 3529, 269, 1403, 596, 723, 513, 6405, 1383, 538, 2247, 267, 610, 513, 4062, 540, 1257, 602, 596, 1265, 7138, 1782, 267, 5225, 9337, 519, 2243, 780, 7042, 31628, 21154, 4214, 585, 519, 4110, 540, 513, 3529, 568, 602, 621, 568, 5021, 4110, 540, 6843, 538, 513, 2016, 3529, 269, 23422, 540, 513, 6843, 568, 519, 1297, 540, 5705, 4181, 540, 513, 6843, 538, 513, 2016, 3529, 780, 7042, 763, 5021, 1297, 540, 1453, 602, 568, 2009, 585, 513, 6843, 568, 1634, 607, 519, 4110, 540, 6843, 692, 268, 0, 12385, 24136, 4016, 547, 519, 2257, 540, 2497, 267, 1931, 267, 543, 6935, 267, 2519, 593, 3693, 531, 2853, 7188, 10203, 267, 7893, 267, 543, 10503, 519, 5546, 540, 3615, 780, 1607, 3322, 4238, 899, 1840, 267, 12408, 267, 8691, 267, 610, 6498, 269, 898, 6227, 3376, 3344, 540, 1585, 4610, 267, 1419, 21214, 12007, 9819, 267, 9266, 7744, 267, 543, 27727, 780, 763, 6128, 2361, 814, 6738, 267, 3384, 883, 1114, 2609, 6306, 689, 10203, 269, 4706, 4720, 568, 11911, 547, 519, 3395, 1858, 538, 2257, 267, 799, 814, 8118, 1585, 8906, 3056, 547, 519, 1646, 540, 6128, 780, 31580, 568, 513, 7936, 540, 6128, 602, 9388, 609, 4632, 543, 2338, 538, 6061, 2042, 269, 10789, 3622, 2337, 609, 519, 6041, 540, 519, 2152, 998, 6310, 7215, 780, 763, 2203, 6212, 593, 3044, 6310, 2474, 543, 3347, 538, 6061, 519, 2152, 269, 4475, 267, 789, 3382, 1114, 3344, 540, 3090, 12879, 267, 2870, 3435, 267, 543, 2324, 1472, 4466, 6378, 2418, 610, 3270, 547, 4194, 519, 2042, 780, 18455, 513, 7936, 540, 6128, 267, 621, 3322, 519, 2460, 540, 9266, 7744, 538, 1620, 543, 2324, 2509, 519, 12879, 540, 519, 4632, 780, 6944, 757, 692, 1012, 20212, 692, 13043, 543, 7223, 949, 3100, 547, 581, 2324, 538, 1713, 16726, 855, 723, 3604, 538, 875, 789, 616, 4843, 780, 763, 3604, 616, 14754, 689, 1585, 7285, 267, 1519, 6436, 2404, 609, 6061, 519, 4834, 267, 519, 1377, 540, 3450, 543, 25465, 267, 543, 519, 1292, 1445, 593, 4238, 543, 19106, 16097, 780, 763, 3604, 616, 14754, 538, 519, 1554, 3562, 6377, 5872, 609, 6128, 543, 519, 13654, 4493, 540, 1966, 9010, 1063, 519, 1079, 269, 2368, 540, 519, 3604, 1331, 1384, 1012, 5381, 885, 692, 4910, 655, 4565, 1734, 1063, 2979, 543, 7223, 5631, 9114, 538, 519, 6128, 3252, 789, 782, 4196, 269, 10789, 1373, 513, 14387, 7936, 267, 5103, 519, 1114, 12331, 540, 4082, 267, 621, 3096, 519, 2596, 4238, 538, 12980, 547, 960, 1472, 6061, 2042, 780, 763, 1114, 2081, 540, 8204, 519, 1966, 6061, 949, 581, 1114, 855, 1312, 946, 543, 1935, 519, 1482, 6310, 7954, 547, 1265, 519, 3070, 547, 519, 1966, 780, 32101, 540, 20902, 3652, 568, 1455, 267, 543, 519, 1152, 3017, 2501, 609, 519, 7215, 540, 519, 2418, 610, 5106, 540, 4632, 780, 4407, 2596, 14387, 1983, 949, 711, 2154, 1454, 267, 7223, 666, 581, 14053, 269, 4635, 519, 2596, 4238, 538, 12980, 267, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 267, 7311, 9266, 7744, 3927, 5932, 3435, 543, 8214, 956, 1114, 6310, 2055, 780, 4913, 267, 538, 7223, 267, 596, 1590, 4487, 543, 1174, 519, 1585, 7215, 543, 4834, 3238, 538, 519, 15821, 6041, 780, 306, 6295, 891, 7215, 8185, 12346, 593, 519, 4834, 543, 519, 12596, 1305, 547, 6330, 519, 2042, 780, 11997, 267, 13215, 1983, 4143, 547, 25305, 519, 4834, 666, 6961, 1360, 3608, 585, 10188, 1472, 15821, 7215, 780, 21995, 2979, 1983, 616, 849, 2629, 538, 6061, 1022, 1966, 269, 9978, 1983, 7048, 8185, 593, 7954, 543, 1620, 267, 865, 596, 666, 3362, 6330, 519, 1114, 1305, 5725, 543, 4093, 540, 1950, 7215, 971, 607, 7223, 780, 4913, 267, 547, 3035, 782, 713, 11007, 538, 2259, 267, 621, 568, 2556, 547, 32260, 707, 1983, 267, 1451, 2994, 547, 4194, 2042, 267, 543, 3927, 1174, 519, 7744, 3297, 741, 3903, 540, 1966, 9010, 4480, 780, 17843, 4485, 547, 6310, 3435, 616, 1419, 2919, 2059, 519, 1259, 267, 543, 4359, 2081, 540, 6061, 616, 2813, 609, 519, 2208, 543, 4720, 540, 2257, 780, 12385, 24136, 2090, 786, 2154, 2620, 1445, 543, 2259, 602, 2337, 596, 1205, 31235, 609, 1256, 4101, 4247, 780, 3528, 12018, 2565, 3206, 538, 16460, 543, 9266, 3375, 1818, 267, 5751, 538, 2979, 543, 7223, 1628, 513, 2178, 3490, 585, 15826, 4393, 540, 2042, 1256, 538, 1483, 1272, 267, 3976, 21945, 693, 2500, 543, 4143, 3435, 780, 1012, 6875, 589, 3118, 692, 763, 1114, 8371, 540, 6128, 782, 9305, 547, 1142, 824, 282, 2436, 538, 12980, 267, 7223, 267, 610, 9511, 267, 891, 8371, 31721, 1472, 9696, 610, 3270, 1759, 593, 2596, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 780, 32575, 891, 3270, 543, 1620, 519, 1114, 8658, 948, 596, 4194, 2042, 811, 7561, 543, 3927, 780, 22913, 532, 519, 1585, 6310, 9696, 666, 948, 2697, 3270, 547, 960, 609, 543, 948, 2054, 1125, 1697, 7215, 543, 3527, 780, 11997, 267, 3586, 2259, 568, 2877, 547, 948, 24559, 609, 9273, 543, 2569, 519, 6560, 538, 1620, 7215, 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 ]
[ 519, 2666, 543, 538, 519, 2011, 269, 6744, 4289, 6744, 4289, 16140, 7896, 16140, 7896, 3794, 27443, 3794, 27443, 454, 288, 7878, 16140, 7896, 634, 2413, 18213, 15191, 5673, 593, 513, 5318, 18239, 540, 2666, 6472, 543, 513, 1804, 2666, 12284, 547, 1832, 621, 538, 5106, 269, 898, 814, 547, 581, 1201, 340, 8215, 269, 634, 1201, 3241, 14903, 666, 6802, 20829, 1896, 4627, 17529, 540, 4492, 538, 513, 8792, 269, 589, 1216, 14903, 7727, 1216, 585, 519, 15915, 547, 946, 269, 634, 561, 10212, 720, 568, 4547, 547, 519, 7077, 676, 513, 9126, 16372, 15298, 543, 16041, 5196, 519, 8484, 676, 513, 585, 9383, 3424, 610, 5985, 23740, 12966, 269, 6744, 4289, 6744, 4289, 1215, 606, 19633, 1568, 1215, 606, 19633, 1568, 3794, 27443, 3794, 27443, 454, 288, 518, 1993, 11798, 910, 1022, 8484, 851, 610, 2627, 267, 971, 607, 513, 13617, 610, 25229, 1457, 267, 2966, 547, 8415, 2011, 14768, 547, 5351, 538, 4412, 2454, 267, 17666, 267, 543, 9013, 3350, 269, 589, 8814, 517, 910, 513, 1940, 762, 1166, 777, 593, 519, 15493, 6316, 540, 606, 20987, 781, 13617, 267, 1031, 547, 1852, 12902, 543, 12948, 269, 28463, 910, 519, 7098, 17871, 3196, 602, 1727, 4680, 606, 8484, 781, 5163, 998, 519, 2011, 29175, 1807, 910, 513, 26523, 539, 1940, 762, 8880, 2627, 4171, 2990, 568, 12012, 547, 3132, 909, 610, 1524, 3350, 540, 606, 8484, 269, 17540, 1088, 720, 910, 519, 1560, 540, 606, 20987, 267, 547, 799, 519, 9817, 267, 12209, 267, 543, 2766, 616, 7923, 543, 1369, 799, 519, 15915, 267, 12284, 267, 543, 18535, 616, 8659, 269, 3056, 6316, 910, 519, 4395, 6316, 540, 606, 2011, 325, 11798, 267, 4412, 11839, 16405, 267, 610, 13743, 602, 8188, 519, 2842, 610, 4287, 540, 5163, 269, 700, 3424, 910, 519, 3196, 602, 2047, 1727, 4680, 519, 2597, 540, 606, 8484, 543, 6585, 519, 8484, 538, 519, 2011, 11330, 13955, 910, 519, 957, 610, 1184, 540, 2870, 513, 3196, 602, 3123, 5163, 23052, 1457, 910, 513, 1940, 762, 7299, 16405, 693, 519, 15493, 1439, 540, 513, 6928, 610, 20987, 267, 1031, 547, 1852, 4287, 269, 1975, 334, 8814, 610, 1166, 777, 910, 513, 1279, 267, 7522, 267, 26523, 539, 610, 6378, 2627, 602, 1110, 5809, 25312, 543, 3976, 10607, 519, 2773, 540, 519, 6174, 610, 8484, 10016, 3205, 545, 910, 23630, 610, 5827, 540, 23630, 519, 3432, 540, 3280, 6329, 998, 2011, 269, 29114, 30350, 910, 519, 8880, 2011, 325, 11798, 540, 606, 8484, 781, 2766, 10198, 602, 568, 6378, 543, 547, 799, 519, 30981, 568, 26523, 539, 269, 774, 6412, 910, 519, 4412, 2454, 3196, 9117, 593, 606, 8484, 5695, 321, 710, 910, 606, 2599, 9141, 676, 513, 3001, 5714, 267, 971, 607, 1216, 267, 9252, 267, 610, 2011, 267, 602, 24864, 1996, 519, 19059, 610, 533, 5417, 956, 7923, 547, 513, 3844, 14788, 269, 5695, 321, 641, 1886, 910, 513, 2881, 2692, 27826, 2599, 609, 513, 17081, 268, 9141, 4412, 11839, 602, 2488, 513, 1804, 851, 540, 519, 19876, 267, 4946, 713, 547, 519, 19876, 540, 519, 15191, 9688, 269, 7201, 8364, 5846, 910, 606, 8484, 781, 13941, 10591, 269, 13379, 910, 519, 3389, 1465, 540, 606, 1843, 1813, 547, 519, 1198, 540, 8904, 6744, 4289, 6744, 4289, 454, 763, 1543, 540, 713, 2200, 568, 1759, 593, 281, 21244, 267, 14105, 267, 543, 3627, 17659, 2917, 269, 634, 7077, 281, 13772, 621, 960, 676, 5665, 519, 3001, 12222, 256, 15053, 4637, 10290, 267, 631, 26680, 1410, 267, 4789, 281, 25655, 918, 652, 1537, 267, 476, 2735, 276, 269, 0, 301, 3036, 15578, 17129, 654, 3041, 25321, 306, 2562, 630, 310, 10621, 312, 264, 1107, 634, 8111, 332, 3019, 8445, 539, 2038, 11728, 267, 513, 4715, 12386, 649, 4465, 1406, 1294, 1586, 2394, 476, 10711, 275, 563, 22498, 3081, 621, 779, 1572, 513, 968, 27273, 332, 3019, 892, 1317, 621, 779, 519, 14191, 2407, 7599, 547, 3047, 2094, 476, 3707, 279, 563, 10527, 2407, 7599, 5526, 602, 1454, 3677, 538, 8006, 543, 1317, 621, 568, 3677, 31438, 476, 1789, 2600, 811, 7599, 2775, 5196, 519, 3047, 2223, 3081, 8331, 779, 3896, 563, 5629, 1586, 267, 11059, 476, 273, 5240, 13588, 3576, 713, 4316, 547, 1397, 513, 20498, 3750, 585, 10344, 269, 6875, 513, 1413, 693, 6337, 9676, 2429, 519, 13156, 1858, 269, 0, 8794, 513, 5839, 549, 547, 7827, 519, 14474, 1154, 540, 2353, 2382, 1734, 540, 513, 6478, 454, 8923, 8074, 281, 901, 2376, 568, 2854, 585, 3755, 540, 519, 1739, 9786, 6478, 8747, 281, 476, 9032, 267, 476, 1220, 271, 267, 476, 1220, 273, 267, 543, 476, 1220, 274, 269, 1403, 596, 616, 1210, 513, 2663, 4528, 630, 17504, 476, 1220, 278, 610, 2663, 1070, 713, 9133, 949, 711, 960, 585, 596, 269, 1280, 513, 4528, 540, 713, 9133, 2854, 4481, 585, 2663, 8747, 540, 6478, 267, 4945, 1934, 281, 4635, 513, 5839, 549, 547, 7827, 519, 14474, 1154, 540, 2353, 2382, 1734, 540, 513, 6478, 563, 2005, 568, 711, 16613, 547, 946, 18110, 1374, 2609, 538, 513, 3561, 269, 1280, 3236, 267, 596, 949, 1616, 782, 20825, 540, 513, 1880, 2262, 547, 2408, 538, 12050, 24495, 923, 267, 693, 513, 1978, 1448, 2450, 269, 2755, 596, 666, 6157, 798, 519, 11249, 676, 1688, 267, 621, 568, 1454, 811, 3608, 547, 1450, 513, 12550, 547, 798, 519, 960, 585, 596, 269, 1635, 7829, 519, 11249, 538, 713, 1259, 267, 596, 1810, 1405, 991, 547, 5855, 827, 19551, 875, 519, 2262, 1058, 2408, 269, 901, 12550, 267, 14474, 24552, 267, 568, 606, 1383, 540, 971, 513, 12550, 563, 11053, 2169, 815, 834, 23219, 940, 30882, 269, 3725, 10293, 11053, 2169, 815, 834, 4840, 269, 3725, 10293, 12171, 2632, 11065, 1245, 815, 6936, 454, 269, 3725, 10293, 12171, 2632, 20193, 531, 545, 815, 6936, 454, 269, 2690, 1189, 815, 6936, 454, 15030, 1905, 815, 530, 323, 8340, 25594, 454, 8160, 2255, 2662, 1961, 17504, 815, 6936, 454, 2691, 596, 2196, 713, 12550, 267, 621, 19707, 585, 782, 20825, 540, 519, 2262, 2782, 940, 630, 31742, 539, 676, 606, 608, 17474, 1448, 264, 543, 2242, 519, 11249, 593, 621, 865, 519, 2262, 568, 12050, 543, 24495, 923, 563, 17504, 19522, 568, 707, 2707, 585, 1942, 15807, 9786, 6478, 2866, 269, 630, 19859, 7809, 6478, 568, 519, 1034, 2442, 2262, 4393, 3301, 538, 519, 1158, 4700, 901, 9133, 630, 12293, 273, 264, 10039, 547, 9786, 6478, 476, 9032, 267, 476, 1220, 271, 267, 476, 1220, 273, 267, 543, 476, 1220, 274, 269, 1411, 666, 1265, 513, 4528, 540, 713, 9133, 585, 519, 26781, 8818, 540, 6478, 630, 17504, 476, 1220, 278, 543, 2663, 264, 1934, 281, 4635, 513, 5839, 549, 547, 7827, 519, 14474, 1154, 540, 2353, 2382, 1734, 540, 513, 6478, 563, 8620, 11426, 29393, 609, 966, 10621, 256, 13028, 875, 547, 8831, 519, 7207, 540, 8433, 476, 1001, 274, 630, 17504, 267, 9185, 267, 17948, 267, 31326, 267, 543, 7457, 264, 609, 966, 10621, 5752, 267, 1210, 621, 585, 1603, 5672, 4592, 267, 3678, 908, 8433, 3156, 267, 543, 2870, 2688, 3156, 269, 6744, 856, 29923, 966, 10621, 585, 8433, 476, 1001, 274, 2221, 2336, 32306, 707, 1378, 6085, 912, 4467, 906, 585, 713, 9133, 912, 30681, 476, 736, 9947, 476, 1001, 277, 267, 476, 1428, 281, 736, 454, 1492, 476, 272, 2985, 2262, 3898, 568, 10736, 538, 476, 273, 2985, 267, 1247, 6383, 1210, 12550, 269, 2052, 18825, 3391, 803, 875, 547, 17411, 519, 2262, 2985, 11768, 538, 12550, 454, 312, 690, 21983, 476, 4962, 4455, 476, 1001, 277, 267, 476, 2420, 281, 4510, 454, 296, 1616, 547, 1930, 513, 2262, 3561, 998, 14133, 5672, 4592, 543, 6499, 547, 3898, 8118, 2262, 3561, 1210, 2582, 4945, 269, 680, 345, 948, 803, 454, 329, 1783, 476, 2918, 4239, 476, 1001, 276, 267, 476, 4905, 281, 6872, 454, 31138, 3893, 18348, 593, 1250, 2262, 476, 1220, 274, 3758, 563, 328, 4503, 782, 1250, 834, 3650, 532, 257, 476, 272, 267, 476, 273, 267, 274, 563, 3674, 972, 513, 1259, 602, 1775, 666, 1689, 782, 519, 454, 31863, 1341, 1488, 658, 267, 630, 31142, 264, 476, 1626, 28887, 267, 630, 31142, 264, 645, 1245, 454, 3064, 5984, 476, 2918, 4119, 476, 1001, 276, 267, 476, 2420, 281, 6795, 454, 296, 991, 513, 12550, 547, 3898, 519, 3561, 269, 31253, 4170, 616, 912, 7853, 1257, 281, 674, 2632, 2450, 281, 1015, 269, 276, 267, 2511, 281, 1488, 658, 454, 23175, 902, 281, 674, 2632, 2450, 281, 1556, 267, 2511, 281, 1488, 658, 563, 30747, 569, 948, 803, 538, 713, 563, 26469, 17713, 517, 476, 4962, 8734, 476, 1001, 275, 267, 476, 1428, 281, 7367, 454, 8133, 267, 596, 666, 946, 713, 12550, 547, 5372, 1896, 1913, 269, 6423, 1250, 5816, 585, 513, 2347, 2328, 909, 607, 20171, 607, 513, 6085, 8604, 899, 594, 729, 1603, 1932, 1454, 269, 5291, 2517, 1440, 327, 16443, 545, 269, 24108, 4944, 582, 2593, 270, 1001, 275, 270, 1556, 270, 30726, 3613, 5138, 3146, 6665, 1243, 11258, 454, 305, 11047, 639, 476, 6734, 8734, 476, 1001, 275, 267, 476, 5881, 281, 4097, 454, 4692, 594, 946, 713, 12550, 547, 1118, 1896, 1114, 1913, 538, 12050, 888, 16032, 3204, 1841, 681, 11047, 639, 454, 289, 996, 476, 1839, 9484, 476, 1001, 275, 267, 476, 866, 281, 6795, 454, 10498, 269, 594, 23125, 621, 856, 269, 2290, 2115, 547, 946, 1547, 310, 1905, 815, 530, 323, 8340, 1805, 641, 3079, 540, 1547, 310, 1905, 815, 530, 323, 8340, 25594, 454, 289, 996, 476, 1839, 9484, 476, 1001, 275, 267, 476, 1240, 281, 4510, 454, 296, 723, 1031, 713, 1482, 12550, 630, 13440, 867, 539, 1210, 12550, 264, 1721, 1296, 267, 1152, 5063, 15175, 547, 654, 16704, 476, 1001, 274, 563, 296, 2356, 1152, 1616, 547, 946, 621, 1369, 5697, 1257, 269, 6884, 621, 786, 798, 713, 267, 855, 1631, 621, 4465, 1405, 269, 898, 2242, 782, 8320, 1369, 519, 3561, 563, 2710, 596, 723, 1022, 5813, 883, 713, 888, 1177, 344, 3430, 476, 1428, 2904, 476, 1001, 275, 267, 476, 1556, 281, 4366, 454, 21837, 281, 1411, 991, 547, 798, 513, 3552, 15258, 3406, 269, 18224, 519, 29799, 9184, 540, 519, 4855, 543, 29799, 13972, 4216, 630, 290, 27530, 266, 295, 1070, 1287, 1118, 2386, 519, 2422, 8187, 11568, 2638, 4216, 568, 5697, 563, 21607, 713, 538, 519, 4855, 1548, 4216, 281, 22570, 283, 328, 315, 285, 7565, 286, 265, 264, 7268, 9572, 328, 315, 285, 994, 21607, 713, 538, 519, 29799, 2060, 4216, 281, 1422, 273, 454, 4415, 519, 24450, 1448, 1869, 538, 519, 29799, 2060, 4216, 267, 4945, 14474, 1923, 674, 2632, 543, 1305, 519, 13944, 547, 24495, 923, 563, 12812, 29799, 2353, 269, 2353, 2944, 2336, 21837, 476, 1428, 2904, 476, 1001, 275, 267, 476, 1015, 281, 4029, 454, 12552, 585, 519, 948, 269, 594, 6415, 2469, 547, 2119, 547, 960, 609, 1018, 596, 4312, 3893, 1934, 547, 24917, 538, 593, 1018, 594, 991, 269, 594, 6415, 2324, 538, 9786, 6478, 593, 606, 2025, 1547, 311, 7876, 3758, 585, 606, 552, 26247, 269, 1284, 2811, 1210, 513, 1007, 7503, 1505, 543, 594, 723, 547, 979, 998, 543, 4894, 782, 519, 2025, 24701, 1665, 22705, 543, 5372, 873, 609, 519, 1007, 2480, 11171, 15187, 1665, 909, 630, 17092, 7876, 1040, 2290, 540, 519, 1919, 594, 4749, 1590, 798, 568, 1265, 1913, 1063, 2999, 328, 285, 543, 21742, 328, 285, 543, 24495, 545, 1125, 519, 1913, 1063, 891, 16776, 267, 1287, 18419, 519, 16776, 563, 3383, 594, 1174, 602, 713, 12550, 2982, 875, 547, 1265, 513, 1978, 2262, 267, 855, 1018, 594, 991, 568, 585, 519, 12550, 547, 1265, 2999, 328, 285, 267, 1287, 24495, 545, 1125, 3388, 19200, 9898, 2999, 328, 285, 2394, 621, 2501, 547, 21742, 328, 20101, 594, 6415, 2386, 972, 781, 513, 1259, 547, 798, 621, 267, 855, 594, 1810, 1405, 917, 875, 269, 7102, 10372, 593, 1141, 594, 1522, 1451, 811, 827, 875, 547, 798, 713, 286, 594, 1810, 1405, 1589, 8943, 290, 611, 5519, 2593, 3091, 10439, 9978, 563, 307, 1415, 320, 29542, 476, 6187, 4924, 476, 1001, 274, 267, 476, 1691, 281, 5655, 454, 14188, 596, 585, 713, 19395, 269, 594, 6592, 513, 7097, 585, 4657, 1896, 1913, 538, 24495, 545, 1242, 5299, 1394, 547, 2834, 269, 634, 7097, 3274, 4769, 1405, 960, 1317, 621, 4769, 1405, 1331, 1018, 1689, 538, 3898, 594, 4941, 269, 594, 3773, 834, 269, 3725, 10293, 12171, 2632, 20193, 531, 545, 815, 8771, 2580, 1759, 593, 707, 3732, 1657, 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 ]
[ 28555, 982, 519, 2837, 3544, 563, 310, 9879, 1510, 1379, 3403, 454, 2108, 2690, 519, 1101, 942, 267, 513, 8337, 540, 827, 476, 278, 9180, 1657, 519, 19355, 2837, 666, 581, 6913, 1282, 5162, 17334, 267, 543, 19599, 267, 972, 568, 1100, 3403, 540, 1648, 610, 7943, 543, 8337, 666, 1869, 581, 3361, 2223, 3220, 269, 595, 14241, 1767, 563, 9418, 1158, 3156, 454, 763, 2319, 540, 3173, 3081, 519, 8143, 27972, 752, 568, 3483, 2685, 2966, 547, 1118, 18440, 909, 2504, 4443, 538, 519, 2104, 267, 543, 602, 811, 1804, 8397, 2361, 4152, 543, 2079, 568, 25093, 547, 14377, 519, 14573, 543, 2773, 540, 519, 8143, 27972, 752, 883, 1483, 8996, 2804, 2640, 267, 971, 607, 519, 6871, 540, 6007, 1272, 649, 666, 2333, 610, 634, 2179, 540, 3167, 1648, 602, 1131, 581, 10710, 12422, 952, 519, 946, 540, 519, 8143, 27972, 752, 941, 6905, 547, 6472, 543, 5656, 269, 0, 28646, 596, 723, 4862, 713, 27099, 593, 519, 3377, 610, 1224, 621, 538, 606, 2376, 267, 855, 798, 596, 917, 1018, 621, 568, 610, 1018, 621, 6763, 585, 286, 1403, 596, 1810, 1406, 917, 1287, 596, 616, 2542, 519, 1318, 2376, 269, 24114, 6763, 585, 519, 3345, 9533, 15521, 9257, 269, 4340, 547, 519, 24114, 3896, 267, 968, 2793, 15674, 568, 606, 19710, 540, 2477, 689, 2342, 543, 3345, 3013, 269, 898, 2488, 513, 2189, 3095, 1063, 891, 1079, 17407, 267, 7175, 873, 547, 5077, 543, 28111, 538, 519, 2361, 540, 8878, 543, 3354, 267, 543, 2932, 29505, 6433, 31193, 4238, 1927, 3034, 1432, 568, 519, 3483, 540, 24114, 286, 968, 2793, 15674, 779, 3483, 568, 547, 10018, 519, 5191, 543, 3354, 540, 922, 2818, 998, 2797, 543, 4108, 1797, 5608, 602, 568, 2047, 689, 519, 24114, 3896, 269, 1717, 267, 1018, 1281, 713, 1611, 286, 901, 1797, 602, 713, 1895, 540, 2477, 723, 12247, 539, 547, 7333, 1927, 547, 5000, 12560, 21368, 540, 2152, 602, 2049, 538, 519, 1158, 269, 12983, 971, 607, 519, 12019, 2782, 267, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 543, 476, 280, 270, 1556, 563, 2793, 15674, 814, 476, 3066, 2477, 602, 616, 2818, 267, 538, 1840, 24114, 849, 814, 12352, 609, 824, 2477, 945, 616, 711, 4013, 2818, 269, 31313, 2477, 798, 711, 3180, 519, 1482, 13359, 270, 1372, 17800, 1818, 7060, 269, 3767, 267, 1018, 1281, 621, 1611, 547, 581, 513, 4759, 286, 1703, 616, 5934, 4170, 585, 1142, 4759, 547, 27481, 267, 2687, 547, 519, 2475, 4972, 540, 3557, 779, 3135, 891, 616, 519, 5934, 4170, 585, 24114, 912, 268, 1715, 2818, 1590, 27481, 9111, 267, 1519, 7109, 908, 4763, 563, 268, 1715, 2818, 1590, 581, 1818, 3356, 4724, 513, 2344, 4346, 563, 268, 4256, 4108, 4229, 1590, 581, 896, 6109, 454, 5445, 1590, 581, 1434, 12543, 543, 2463, 16285, 3544, 741, 10665, 563, 268, 1358, 1590, 581, 2324, 4724, 17356, 609, 24114, 4229, 563, 763, 4108, 2460, 540, 24114, 568, 835, 540, 519, 7887, 2127, 540, 1719, 267, 621, 779, 811, 982, 513, 19619, 540, 19618, 4108, 4229, 269, 4340, 547, 519, 24114, 3896, 519, 13639, 5823, 540, 24114, 568, 5059, 593, 281, 968, 2793, 15674, 568, 8149, 547, 519, 12560, 6571, 540, 13882, 269, 1403, 20320, 3646, 3111, 267, 621, 814, 519, 4108, 1379, 547, 22738, 6433, 31193, 4238, 269, 1452, 616, 5645, 856, 896, 519, 7104, 8878, 16083, 540, 24114, 779, 15713, 14097, 1107, 9137, 476, 276, 540, 519, 6115, 15521, 610, 896, 513, 2136, 8315, 23626, 267, 4805, 610, 538, 9316, 609, 824, 2477, 543, 3486, 3906, 1848, 6969, 24114, 786, 11766, 4108, 4229, 267, 16839, 543, 7526, 1590, 10929, 513, 1184, 602, 632, 2114, 4108, 3196, 1175, 16666, 269, 634, 3896, 1655, 18304, 909, 891, 8711, 540, 519, 4108, 2460, 540, 24114, 912, 268, 19822, 2359, 568, 835, 540, 24114, 779, 4295, 4247, 585, 799, 621, 18271, 606, 3617, 3575, 540, 2797, 543, 4108, 2645, 547, 4383, 16839, 538, 606, 5051, 1950, 3354, 1604, 563, 268, 24114, 779, 7347, 6433, 2359, 7207, 1450, 621, 547, 4308, 609, 513, 2647, 2039, 540, 16839, 799, 1223, 10460, 513, 3463, 547, 519, 3354, 540, 519, 19137, 779, 8513, 543, 5095, 269, 1452, 16839, 666, 581, 2797, 267, 4108, 610, 19493, 543, 666, 849, 8451, 689, 513, 2067, 9568, 610, 607, 513, 12343, 540, 6639, 21463, 563, 268, 24114, 2488, 519, 5943, 1369, 799, 2818, 666, 960, 543, 5721, 1927, 538, 1931, 547, 1544, 543, 2932, 29505, 6433, 2359, 4238, 267, 1419, 693, 2110, 5469, 563, 268, 898, 666, 849, 5721, 543, 7500, 609, 824, 11051, 1141, 3617, 267, 585, 5916, 6433, 2359, 4238, 543, 13485, 563, 268, 27469, 6430, 2436, 547, 4497, 538, 513, 6433, 2359, 5106, 593, 513, 2013, 8386, 30924, 4493, 543, 676, 13618, 563, 268, 24114, 17767, 602, 519, 4108, 4805, 3112, 8207, 513, 6433, 610, 4655, 267, 543, 4245, 4121, 689, 3105, 4238, 1118, 621, 2312, 602, 513, 3102, 2797, 267, 19742, 543, 4108, 1935, 568, 2556, 585, 2500, 6433, 2359, 269, 0, 763, 11957, 540, 4569, 10341, 454, 763, 2702, 547, 1685, 6310, 4238, 568, 2565, 585, 1053, 945, 6999, 547, 8011, 27268, 543, 24015, 269, 4569, 568, 513, 4909, 1641, 602, 568, 2838, 538, 1082, 4610, 543, 4876, 10092, 269, 5047, 267, 1346, 945, 723, 2178, 2979, 1983, 616, 811, 2693, 547, 14133, 538, 519, 9443, 267, 9297, 267, 543, 824, 538, 24683, 663, 6080, 269, 1717, 267, 711, 782, 1053, 723, 519, 1482, 19038, 3363, 585, 2979, 267, 543, 930, 949, 2154, 3606, 1489, 547, 8853, 538, 713, 1641, 269, 6744, 856, 713, 5007, 2707, 547, 3489, 811, 3877, 593, 519, 1888, 269, 20554, 13478, 2969, 645, 2393, 8805, 4179, 2517, 1440, 643, 520, 601, 26404, 12781, 2593, 267, 23365, 3054, 2417, 538, 519, 1641, 563, 3963, 4569, 15397, 1681, 568, 12708, 454, 13043, 23468, 814, 1831, 5051, 2442, 267, 3226, 585, 1053, 945, 6560, 609, 2979, 610, 945, 6999, 547, 3986, 741, 1983, 538, 713, 1641, 269, 15397, 1681, 2488, 513, 811, 10531, 543, 835, 6823, 14633, 1565, 1995, 267, 3850, 1053, 547, 4309, 811, 6098, 6044, 602, 3032, 619, 547, 741, 2189, 1565, 6163, 269, 4569, 21493, 666, 849, 948, 1053, 2697, 543, 2232, 2127, 540, 8467, 267, 2519, 593, 1808, 2127, 971, 607, 7223, 267, 9511, 267, 610, 11810, 269, 3958, 267, 23468, 3292, 1419, 6451, 7317, 543, 2502, 2238, 267, 3850, 1053, 547, 1020, 513, 4514, 1620, 543, 7071, 585, 2979, 563, 763, 11588, 540, 4569, 15397, 1681, 454, 13043, 23468, 2488, 3875, 2640, 585, 1053, 945, 7119, 538, 891, 3292, 269, 1280, 835, 267, 23468, 666, 948, 1053, 2333, 741, 6015, 543, 1582, 12635, 267, 607, 789, 616, 2111, 547, 1294, 9283, 538, 741, 2979, 1983, 269, 3958, 267, 23468, 2488, 513, 2922, 543, 11215, 1565, 1604, 267, 1141, 1053, 666, 2307, 2055, 1510, 4250, 540, 27790, 269, 4841, 945, 7119, 538, 23468, 3292, 616, 849, 811, 2693, 547, 1020, 2565, 3206, 543, 1966, 6061, 1983, 267, 799, 666, 581, 4294, 547, 824, 2127, 540, 741, 4081, 543, 3318, 2729, 563, 11101, 267, 2979, 23468, 568, 606, 5092, 538, 513, 2875, 779, 2104, 267, 3246, 873, 609, 519, 1983, 543, 1702, 789, 991, 547, 3035, 741, 4081, 543, 3318, 3853, 563, 763, 10025, 540, 7043, 31645, 15397, 1681, 454, 4407, 1082, 1053, 3343, 856, 2979, 23468, 607, 513, 2110, 3856, 3070, 547, 2232, 513, 1880, 1858, 540, 7411, 267, 1279, 3856, 23468, 814, 3875, 5383, 269, 7043, 3856, 23468, 2636, 585, 2834, 543, 5812, 6044, 267, 3246, 1053, 609, 5571, 1489, 543, 5583, 936, 606, 6905, 1974, 540, 942, 269, 901, 666, 1291, 547, 4514, 543, 811, 6209, 1565, 267, 607, 1053, 723, 519, 4316, 547, 1628, 2390, 13654, 1702, 543, 1020, 811, 4359, 1983, 269, 7043, 3856, 23468, 849, 2636, 585, 3152, 29037, 543, 2078, 2679, 1063, 519, 2875, 543, 20131, 267, 3056, 547, 513, 811, 10531, 543, 3358, 1565, 1995, 563, 13043, 23468, 666, 723, 513, 7096, 543, 2318, 1764, 593, 513, 2875, 779, 4081, 543, 3318, 1967, 269, 3414, 23468, 267, 1053, 666, 3986, 741, 2979, 1983, 267, 1628, 6015, 267, 543, 1020, 2565, 3206, 543, 1966, 6061, 5759, 269, 5047, 267, 23468, 2488, 1053, 609, 519, 1702, 543, 1983, 789, 991, 547, 8011, 538, 2852, 543, 538, 741, 11678, 269, 1635, 10115, 538, 2979, 23468, 267, 1053, 616, 10115, 538, 741, 2104, 267, 30196, 1007, 3255, 543, 11444, 547, 1967, 269, 1133, 16225, 1007, 5380, 593, 519, 1641, 609, 713, 16887, 5697, 5007, 4199, 547, 1039, 1871, 547, 707, 2542, 269, 4569, 20131, 20098, 30988, 563, 18439, 1114, 5380, 593, 713, 1888, 998, 519, 1644, 9708, 649, 4076, 10356, 2523, 585, 596, 281, 0, 290, 1774, 546, 262, 296, 17383, 790, 15448, 538, 6554, 543, 9549, 23113, 454, 13126, 281, 634, 7732, 540, 6837, 13474, 5525, 454, 1103, 476, 3422, 276, 17921, 874, 537, 25612, 339, 5174, 334, 793, 344, 556, 23457, 1010, 7245, 547, 13918, 519, 3395, 1297, 540, 594, 341, 7546, 2103, 11727, 547, 6445, 2229, 7158, 269, 634, 2185, 4540, 26955, 4820, 324, 906, 941, 2699, 22866, 883, 3670, 26955, 4820, 324, 906, 609, 8938, 21144, 929, 2946, 2739, 999, 269, 589, 7222, 2333, 538, 519, 1297, 540, 840, 2739, 338, 630, 1440, 2946, 325, 1115, 264, 3576, 1747, 269, 1635, 519, 1439, 540, 476, 3192, 273, 267, 972, 941, 476, 12893, 1016, 2181, 2739, 999, 269, 901, 4473, 538, 519, 1297, 540, 11889, 30834, 2888, 19658, 4443, 1857, 1569, 547, 2229, 13646, 602, 519, 1007, 3540, 3009, 267, 8045, 538, 476, 3422, 275, 267, 13714, 730, 563, 295, 537, 874, 537, 25612, 339, 5174, 334, 793, 344, 849, 1625, 3022, 519, 5428, 540, 811, 982, 476, 1220, 5428, 3401, 538, 4571, 268, 3422, 275, 269, 634, 1895, 3769, 2947, 2818, 540, 519, 11572, 13163, 543, 3670, 2818, 540, 519, 15445, 9730, 540, 519, 5428, 781, 15272, 589, 5060, 18416, 267, 945, 1185, 1044, 26582, 538, 16957, 1726, 1783, 748, 2238, 269, 769, 519, 1671, 5224, 936, 3873, 592, 540, 519, 5428, 2497, 267, 5428, 3401, 9168, 519, 19113, 5746, 781, 3919, 547, 6252, 519, 556, 23457, 1533, 29904, 6483, 282, 17288, 19317, 1007, 5428, 6810, 267, 7222, 547, 519, 1297, 540, 1007, 1016, 2181, 2739, 999, 538, 476, 3422, 276, 267, 941, 3773, 547, 519, 4540, 6810, 269, 3962, 729, 3366, 676, 606, 11221, 23122, 2489, 269, 634, 1297, 540, 5428, 6810, 729, 2799, 1586, 538, 476, 3192, 271, 547, 5330, 547, 519, 2333, 538, 519, 1297, 540, 1016, 2181, 2739, 999, 269, 634, 1007, 6810, 941, 1016, 323, 22866, 883, 8498, 26639, 538, 6917, 2127, 543, 883, 20758, 543, 6803, 1016, 1260, 2466, 21164, 538, 10034, 563, 10574, 607, 540, 5437, 476, 2735, 279, 454, 27237, 292, 281, 634, 1344, 3823, 595, 1774, 546, 262, 296, 17383, 790, 593, 713, 2985, 568, 556, 1790, 21242, 689, 634, 7732, 540, 6837, 13474, 5525, 269, 3143, 6811, 616, 1500, 3823, 519, 6111, 540, 595, 1774, 546, 262, 296, 17383, 790, 15448, 538, 6554, 543, 9549, 23113, 1344, 8659, 1934, 269, 2353, 10372, 585, 28303, 540, 1022, 6959, 827, 595, 1774, 546, 262, 296, 17383, 790, 15448, 538, 6554, 543, 9549, 23113, 1058, 581, 9619, 547, 519, 7732, 540, 6837, 269, 0, 7049, 727, 3798, 1746, 7169, 281, 5516, 619, 538, 32073, 543, 22319, 10657, 454, 1103, 519, 7706, 540, 24684, 267, 1906, 10124, 723, 21959, 1229, 607, 1454, 3007, 543, 9153, 607, 32073, 4211, 553, 280, 267, 519, 12316, 11646, 11049, 2029, 269, 32073, 267, 2110, 585, 1849, 755, 1229, 17115, 769, 1562, 335, 3166, 10374, 6022, 785, 668, 545, 15901, 1846, 267, 568, 513, 3014, 7302, 9734, 538, 519, 2361, 540, 4719, 4702, 269, 898, 3091, 5730, 543, 3608, 11049, 540, 6090, 267, 6679, 909, 7415, 7399, 538, 3782, 267, 6683, 267, 543, 3564, 269, 901, 2376, 12538, 883, 519, 4241, 1158, 540, 32073, 543, 5444, 3797, 267, 3695, 519, 11678, 602, 723, 7153, 538, 713, 14262, 2361, 563, 1103, 519, 6385, 9687, 5251, 540, 24684, 267, 1906, 23484, 723, 9676, 519, 9345, 540, 3744, 543, 519, 1857, 7567, 607, 25340, 607, 32073, 4211, 553, 280, 269, 901, 12316, 11646, 11049, 2029, 814, 721, 22363, 538, 513, 1007, 5736, 538, 4719, 4702, 267, 9621, 8856, 543, 4398, 602, 941, 2899, 796, 19960, 514, 762, 269, 2311, 922, 4295, 267, 32073, 4211, 553, 280, 568, 513, 3532, 7636, 1907, 602, 6087, 3744, 547, 13861, 6090, 609, 606, 13778, 1377, 540, 6111, 269, 769, 713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 568, 2009, 547, 5478, 10357, 7888, 2472, 543, 11177, 519, 8733, 1604, 269, 2311, 1459, 267, 1082, 3039, 543, 13476, 7874, 2472, 723, 1044, 5950, 543, 1031, 538, 519, 2361, 540, 2504, 543, 1272, 267, 799, 814, 7494, 4824, 1004, 779, 1072, 543, 568, 849, 20009, 547, 519, 4264, 1646, 540, 14498, 269, 9122, 593, 713, 267, 538, 519, 1699, 1974, 267, 3039, 3114, 4702, 543, 2029, 1058, 581, 23963, 8246, 267, 543, 922, 3252, 1058, 581, 3927, 8246, 547, 23963, 2087, 519, 5663, 1184, 540, 3114, 4853, 2472, 267, 2569, 519, 3441, 547, 519, 2067, 1604, 3361, 676, 3114, 2504, 267, 2569, 12376, 656, 5434, 267, 543, 11441, 547, 3035, 519, 3044, 540, 4642, 5434, 1547, 8307, 538, 713, 1259, 666, 519, 3114, 2872, 543, 519, 8733, 1604, 2661, 538, 10103, 267, 7551, 5009, 519, 1279, 3856, 543, 2635, 1646, 540, 519, 3003, 2486, 563, 274, 269, 273, 13335, 540, 15777, 2504, 2029, 454, 27662, 518, 2504, 2029, 4249, 513, 1883, 1909, 538, 519, 2504, 540, 3114, 2872, 269, 2311, 1459, 267, 1585, 16904, 616, 849, 2519, 593, 519, 1646, 543, 3498, 540, 713, 2029, 269, 2311, 519, 1482, 942, 267, 519, 4143, 13623, 616, 849, 5009, 25525, 3585, 269, 11162, 518, 2504, 2029, 4249, 513, 5458, 1909, 538, 5009, 519, 2825, 4027, 540, 3114, 2872, 2472, 269, 769, 519, 2361, 540, 3114, 2872, 267, 3039, 4702, 543, 2872, 568, 513, 6216, 20642, 2504, 2029, 693, 1459, 267, 799, 814, 1500, 1390, 23484, 267, 543, 922, 3498, 538, 519, 3114, 2872, 568, 5266, 9921, 269, 1717, 267, 3039, 543, 2973, 2504, 2029, 1869, 2115, 547, 581, 4824, 538, 2474, 540, 2504, 4398, 269, 3502, 1152, 1590, 519, 2504, 1184, 581, 11179, 4824, 267, 855, 849, 2973, 1648, 543, 6151, 2326, 1590, 581, 1031, 547, 5372, 6464, 543, 1978, 3114, 6878, 602, 2014, 2825, 5533, 269, 2311, 519, 1482, 942, 267, 621, 568, 2556, 547, 11126, 519, 1184, 540, 3114, 4702, 267, 946, 811, 4359, 2029, 543, 3937, 267, 543, 7794, 519, 946, 540, 3114, 6151, 2326, 547, 3035, 519, 3483, 540, 2825, 4027, 3114, 4702, 543, 1184, 269, 2201, 713, 4493, 267, 1210, 2973, 2504, 2029, 267, 713, 1505, 666, 711, 1152, 3927, 2087, 519, 13345, 4398, 540, 3114, 6151, 2326, 267, 855, 849, 2569, 519, 5533, 3653, 6383, 538, 519, 2504, 1184, 543, 2569, 519, 1764, 593, 519, 1604, 267, 7551, 4227, 519, 2825, 10898, 540, 519, 3114, 2872, 269, 1280, 1383, 267, 3742, 21149, 656, 666, 23271, 9770, 25681, 538, 1216, 543, 6460, 621, 883, 1216, 543, 5135, 269, 3502, 1152, 1281, 621, 723, 1100, 5739, 676, 1790, 20094, 267, 621, 814, 1434, 3566, 20141, 1198, 543, 568, 513, 1360, 2500, 21149, 656, 269, 11162, 518, 2504, 666, 7494, 2087, 519, 2930, 1377, 540, 519, 3114, 2872, 267, 543, 693, 519, 1482, 942, 1118, 519, 2973, 2029, 4922, 1031, 538, 824, 6080, 267, 543, 3895, 519, 6024, 6454, 540, 519, 2504, 2029, 540, 3114, 3785, 267, 543, 4019, 1007, 4066, 547, 4853, 2504, 269, 5637, 2825, 4027, 543, 1648, 5726, 616, 540, 1390, 948, 563, 274, 269, 274, 11930, 24684, 454, 2026, 513, 6093, 11347, 540, 3039, 3114, 2872, 2029, 267, 24684, 814, 1044, 4922, 1031, 538, 519, 2361, 540, 3114, 2872, 267, 3246, 513, 1007, 3760, 543, 513, 1007, 5133, 585, 519, 3498, 540, 24684, 269, 2290, 568, 602, 24684, 666, 31693, 6757, 6878, 998, 24684, 267, 543, 24684, 3096, 6211, 11476, 547, 2981, 873, 883, 1808, 7103, 269, 2334, 568, 547, 946, 519, 18829, 2029, 540, 14471, 547, 2490, 873, 883, 5214, 7135, 267, 865, 607, 547, 2327, 602, 972, 786, 581, 1100, 8594, 543, 1100, 5533, 547, 519, 1604, 1282, 519, 2504, 1184, 269, 634, 2034, 568, 547, 946, 15451, 2029, 547, 1521, 4853, 21137, 543, 946, 6211, 11476, 547, 31358, 621, 267, 4227, 2825, 5533, 282, 7551, 5355, 922, 10350, 1198, 267, 5355, 922, 2126, 4398, 267, 543, 4227, 922, 3653, 540, 2200, 269, 634, 3498, 540, 24684, 538, 519, 3114, 2872, 814, 711, 1152, 4957, 1004, 779, 17133, 540, 3114, 2472, 267, 855, 849, 5129, 513, 2318, 1909, 538, 5355, 519, 1184, 540, 3114, 2472, 269, 898, 568, 540, 1390, 4644, 547, 519, 1382, 543, 1646, 540, 519, 3114, 2872, 267, 543, 621, 666, 849, 8275, 519, 1648, 9494, 543, 12998, 5786, 540, 3114, 2872, 2472, 269, 2311, 519, 1482, 942, 267, 538, 519, 1184, 540, 3039, 7998, 267, 519, 946, 540, 24684, 666, 1118, 519, 8677, 540, 3114, 2872, 2472, 811, 4129, 1881, 543, 811, 8465, 269, 769, 1585, 3114, 3157, 267, 519, 5542, 540, 5078, 6211, 11476, 4249, 606, 1271, 1909, 543, 4644, 538, 5009, 519, 11938, 543, 2930, 1377, 540, 2413, 3114, 2872, 2504, 3157, 267, 5355, 3114, 4702, 2029, 267, 543, 5355, 1587, 2298, 563, 274, 269, 275, 13335, 540, 3039, 27857, 454, 763, 3498, 540, 3039, 27857, 666, 711, 1152, 8275, 519, 2500, 4999, 540, 24684, 543, 3114, 2029, 267, 855, 849, 948, 519, 18900, 1646, 540, 2470, 543, 2257, 267, 543, 11179, 2087, 519, 1377, 540, 3114, 2029, 269, 2311, 519, 1482, 942, 267, 519, 2500, 4999, 540, 2413, 24684, 543, 3039, 7998, 666, 2087, 519, 1377, 540, 24684, 538, 3114, 4702, 267, 15052, 519, 1382, 593, 4719, 4702, 267, 21872, 4702, 267, 543, 1591, 4702, 267, 2057, 519, 7613, 540, 3653, 540, 3114, 6151, 2326, 267, 543, 3927, 4194, 519, 1966, 540, 2825, 5533, 269, 1677, 713, 1439, 267, 4143, 5234, 1058, 3442, 5214, 2030, 2326, 21230, 267, 865, 607, 547, 2569, 519, 5533, 540, 519, 3114, 2872, 547, 519, 1604, 267, 543, 11179, 1020, 519, 2361, 540, 3114, 2872, 1646, 269, 769, 1880, 267, 519, 946, 540, 930, 2067, 27857, 543, 5841, 27857, 666, 2743, 519, 2115, 540, 3114, 2504, 543, 3927, 2936, 543, 2936, 519, 3853, 540, 4264, 1646, 543, 1648, 4616, 5786, 563, 274, 269, 276, 2422, 20027, 543, 1875, 3562, 13877, 30177, 454, 5278, 6878, 602, 3542, 1393, 519, 1604, 2408, 538, 3114, 4702, 2504, 6547, 269, 634, 946, 540, 6757, 27857, 267, 6757, 30177, 267, 543, 6757, 6151, 2326, 538, 3114, 2504, 2238, 786, 3542, 1393, 519, 2067, 1604, 269, 634, 946, 540, 6757, 30177, 538, 1082, 3114, 6547, 786, 2047, 3542, 1393, 519, 1604, 269, 4107, 540, 519, 6757, 30177, 616, 19979, 267, 543, 2899, 519, 4835, 5214, 2339, 1965, 7870, 547, 519, 3544, 267, 621, 786, 2014, 3978, 1764, 2059, 609, 519, 2011, 538, 513, 1804, 1858, 269, 634, 946, 540, 6757, 30177, 2115, 547, 2015, 519, 5533, 2042, 602, 519, 19857, 949, 2014, 547, 1216, 267, 3037, 267, 2011, 543, 824, 2200, 538, 519, 3498, 269, 4475, 267, 538, 1931, 547, 2061, 519, 1804, 5533, 3361, 676, 6757, 30177, 538, 3114, 6547, 267, 621, 568, 2556, 547, 3927, 946, 543, 1353, 1875, 3562, 13877, 30177, 547, 3035, 519, 3804, 540, 1875, 3562, 13877, 2504, 269, 31999, 10986, 1058, 1353, 2706, 322, 15560, 12862, 538, 3178, 267, 865, 607, 547, 2569, 519, 5506, 540, 5533, 3361, 676, 6757, 30177, 269, 8111, 322, 15560, 12862, 711, 1152, 723, 519, 1482, 5860, 607, 15559, 267, 855, 849, 723, 519, 1482, 25297, 607, 9362, 269, 16237, 28517, 519, 1382, 540, 2706, 322, 15560, 12862, 4249, 606, 1271, 13057, 1909, 538, 519, 1382, 543, 1646, 540, 1875, 3562, 13877, 30177, 269, 769, 519, 1699, 3942, 540, 3114, 2504, 267, 538, 1931, 547, 3927, 2149, 519, 8733, 1604, 543, 2057, 7050, 4199, 543, 1648, 4616, 267, 621, 568, 2556, 547, 5659, 543, 1353, 1875, 3562, 13877, 30177, 538, 3178, 267, 865, 607, 547, 3895, 519, 2417, 1646, 540, 3039, 7998, 563, 274, 269, 277, 19630, 1944, 1648, 946, 454, 763, 2504, 1184, 540, 519, 3114, 2872, 2115, 547, 946, 513, 2603, 540, 1648, 267, 799, 786, 3542, 1393, 519, 8733, 1604, 269, 769, 1840, 267, 538, 519, 1184, 540, 14027, 22713, 267, 519, 2497, 540, 1648, 4616, 814, 7930, 4957, 689, 5755, 547, 2067, 3154, 543, 3282, 269, 1717, 267, 519, 1648, 2497, 538, 519, 2361, 540, 3114, 2872, 2504, 568, 2352, 547, 2347, 519, 7503, 538, 513, 2110, 1974, 540, 942, 269, 4475, 267, 538, 519, 960, 540, 1648, 5726, 543, 12998, 5786, 538, 519, 3114, 2872, 267, 10862, 1058, 581, 2016, 547, 14577, 519, 1648, 2497, 269, 3245, 519, 946, 540, 1648, 971, 607, 2067, 3154, 543, 3282, 547, 519, 946, 540, 7791, 1648, 971, 607, 3859, 1648, 543, 1216, 1648, 267, 519, 8733, 1604, 666, 581, 6870, 1247, 16734, 2804, 1646, 269, 1306, 513, 1804, 4853, 2504, 2197, 267, 1250, 2197, 1590, 2015, 519, 8876, 4390, 540, 519, 8733, 1604, 269, 769, 1931, 547, 2327, 519, 4264, 1646, 540, 519, 3114, 2872, 543, 938, 2197, 779, 4346, 267, 1152, 676, 11179, 2810, 519, 5092, 538, 1007, 1648, 543, 3114, 2029, 666, 649, 2087, 519, 1648, 4398, 540, 519, 3114, 2872, 267, 543, 1287, 3565, 547, 519, 4027, 540, 634, 8733, 1604, 814, 9788, 513, 4396, 5748, 563, 2414, 2040, 909, 267, 538, 1931, 547, 4194, 519, 2825, 5533, 3361, 676, 519, 3114, 2872, 267, 649, 1058, 3895, 519, 1646, 540, 7998, 2509, 3039, 543, 2825, 4027, 267, 3132, 3039, 543, 13476, 7874, 2472, 267, 2569, 519, 3653, 3154, 543, 6757, 543, 5739, 9362, 3812, 676, 519, 3114, 2872, 267, 2087, 519, 13345, 2557, 540, 2200, 267, 543, 2569, 4199, 543, 1648, 4616, 269, 7201, 519, 4282, 540, 938, 2197, 779, 24526, 13319, 540, 1648, 5726, 543, 2825, 4027, 267, 3114, 4702, 9439, 991, 547, 3533, 3082, 547, 519, 4287, 540, 519, 1646, 540, 519, 2053, 267, 3895, 3039, 7998, 538, 13076, 609, 519, 2197, 779, 7580, 4170, 585, 2825, 4027, 267, 3442, 3114, 3157, 543, 4066, 602, 786, 711, 3542, 1393, 519, 1604, 267, 543, 4688, 4702, 269, 12754, 6165, 269, 0, 8368, 540, 12937, 31674, 454, 19465, 513, 1753, 568, 513, 13858, 3460, 267, 1490, 21148, 609, 24736, 543, 9909, 540, 2870, 513, 10531, 2230, 269, 634, 1184, 3322, 1896, 6946, 3268, 267, 689, 3355, 1374, 543, 4058, 547, 519, 3803, 18953, 602, 1118, 513, 2777, 513, 1753, 269, 4197, 519, 1753, 2679, 1184, 568, 2629, 267, 607, 621, 2488, 5813, 883, 519, 15415, 543, 1018, 547, 2503, 693, 1142, 3942, 563, 13420, 958, 1713, 568, 9301, 519, 2956, 540, 12557, 538, 4070, 269, 29615, 12930, 12557, 5849, 602, 1142, 5123, 568, 23939, 6192, 267, 4509, 513, 3666, 1063, 2298, 543, 4398, 269, 901, 2376, 786, 6330, 596, 998, 519, 9867, 15415, 540, 2679, 513, 2777, 267, 17766, 1769, 593, 519, 2188, 602, 3310, 519, 8653, 543, 5356, 513, 19214, 883, 519, 3328, 942, 325, 29707, 585, 14335, 513, 1753, 269, 15012, 721, 607, 649, 2263, 519, 14960, 543, 21048, 559, 519, 13655, 540, 875, 1279, 621, 3217, 547, 1628, 513, 2777, 563, 272, 269, 2776, 268, 18586, 5123, 454, 763, 3460, 5956, 1279, 1354, 519, 1101, 15839, 568, 9788, 269, 634, 840, 268, 18586, 5123, 568, 13654, 543, 13315, 8888, 267, 4058, 267, 543, 8600, 519, 3135, 563, 17637, 532, 543, 12020, 454, 19425, 3538, 1116, 8571, 902, 281, 634, 1101, 1900, 568, 2870, 11265, 12400, 269, 901, 1184, 3322, 5698, 1063, 21427, 543, 16413, 547, 1374, 519, 11768, 267, 5920, 267, 543, 10342, 540, 519, 2777, 269, 898, 779, 513, 942, 585, 19424, 532, 267, 1818, 11941, 267, 543, 3803, 1944, 4566, 563, 303, 1069, 1080, 543, 10088, 10094, 281, 4495, 519, 1374, 568, 3803, 1242, 267, 621, 779, 942, 547, 6330, 998, 519, 17531, 29386, 28618, 269, 5136, 8877, 519, 2556, 14998, 543, 1237, 10094, 666, 581, 942, 21791, 267, 4470, 593, 2199, 6042, 543, 519, 6988, 540, 519, 1788, 269, 901, 3942, 5849, 519, 2777, 5360, 625, 609, 1990, 11238, 4031, 267, 2679, 9479, 267, 543, 824, 2199, 3921, 514, 1734, 563, 291, 4851, 281, 2311, 2547, 476, 274, 3275, 267, 909, 547, 513, 1032, 454, 290, 548, 2130, 543, 19196, 822, 908, 281, 2060, 14998, 538, 1688, 267, 519, 2168, 960, 5956, 269, 634, 3135, 568, 23498, 540, 10664, 267, 7725, 267, 543, 11935, 269, 19196, 822, 566, 568, 17298, 547, 1711, 513, 7123, 3490, 585, 519, 5748, 267, 5935, 519, 2244, 547, 9290, 519, 1374, 540, 519, 2777, 563, 299, 11691, 519, 7690, 281, 634, 5748, 568, 519, 5127, 13702, 540, 519, 2777, 269, 13689, 593, 519, 1826, 267, 2436, 28973, 267, 31770, 2230, 267, 610, 25810, 267, 18413, 519, 5748, 3322, 26311, 6405, 267, 4259, 7161, 267, 543, 15603, 621, 10826, 269, 898, 779, 513, 2565, 3942, 602, 5222 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23839, 338, 1222, 910, 4004, 21899, 609, 13336, 4373, 5970, 596, 2479, 9289, 952, 972, 781, 811, 547, 1272, 982, 1018, 10742, 519, 3750, 286, 5620, 596, 4862, 2984, 827, 1004, 6158, 547, 14326, 610, 8391, 6835, 689, 3564, 286, 4270, 267, 602, 7613, 568, 1572, 23447, 1222, 256, 2913, 781, 2263, 713, 4241, 1523, 1927, 780, 1262, 1432, 568, 23839, 338, 1222, 15140, 5331, 1373, 2111, 547, 5968, 609, 1346, 945, 723, 5293, 2476, 610, 1256, 26378, 883, 8471, 7326, 543, 1702, 269, 2334, 781, 1018, 23447, 1222, 568, 782, 827, 1107, 9117, 607, 513, 8115, 1063, 938, 1158, 543, 519, 6891, 7706, 269, 23839, 338, 616, 2043, 945, 3494, 789, 666, 2911, 547, 14326, 543, 2671, 741, 6835, 609, 721, 269, 1358, 798, 713, 998, 1585, 2409, 899, 804, 1515, 341, 1195, 766, 630, 27234, 7487, 1070, 804, 4202, 550, 1466, 630, 27234, 15392, 1070, 543, 804, 2967, 571, 644, 1466, 630, 27234, 6217, 1040, 8528, 265, 4131, 781, 946, 606, 21658, 17041, 6056, 540, 23447, 1222, 899, 2348, 513, 3802, 773, 2389, 1779, 773, 1141, 835, 1439, 568, 538, 938, 1158, 543, 519, 824, 568, 538, 519, 6891, 1158, 269, 589, 5420, 568, 2576, 945, 6487, 875, 547, 960, 1312, 7475, 540, 519, 3802, 773, 2389, 1779, 773, 547, 7520, 2792, 1063, 519, 1079, 26441, 780, 1262, 3963, 6496, 23839, 338, 1222, 19732, 523, 15140, 3086, 602, 649, 917, 1018, 23447, 1222, 568, 1577, 781, 4685, 4514, 543, 1174, 1946, 621, 4386, 269, 6884, 950, 1004, 1780, 2476, 267, 789, 1869, 1616, 547, 1921, 609, 741, 6068, 3283, 2451, 3297, 269, 9454, 1080, 1522, 849, 6999, 547, 2671, 5583, 267, 4030, 267, 610, 4313, 547, 948, 721, 6330, 938, 2729, 1732, 269, 23839, 338, 1222, 2488, 513, 1259, 585, 873, 547, 3914, 856, 547, 721, 269, 898, 781, 1271, 547, 4063, 602, 23447, 1222, 3884, 1405, 1152, 827, 14379, 609, 519, 21549, 282, 3006, 267, 23447, 4309, 1344, 689, 2362, 7919, 971, 607, 23109, 267, 10274, 267, 610, 10841, 2105, 18544, 780, 265, 7078, 942, 256, 265, 5994, 6264, 2742, 9478, 710, 5063, 5293, 2476, 267, 855, 1352, 1869, 6499, 547, 2995, 1200, 5172, 24983, 547, 1200, 1178, 2738, 517, 570, 20207, 269, 3414, 513, 5420, 267, 6264, 2742, 15608, 1223, 2671, 1200, 17409, 543, 2648, 2066, 519, 1654, 559, 19459, 938, 10600, 269, 1215, 3579, 1131, 602, 581, 2496, 1262, 1692, 6496, 9697, 24608, 11059, 21277, 576, 4804, 538, 23839, 338, 1222, 15140, 1103, 23447, 1222, 267, 6267, 1107, 610, 3384, 23447, 1107, 10244, 1114, 2010, 540, 1412, 13906, 3315, 7370, 10086, 610, 12153, 267, 547, 3986, 741, 5759, 269, 2290, 14984, 18463, 568, 7680, 2178, 4664, 899, 16236, 610, 2648, 269, 1879, 5185, 609, 2620, 4606, 267, 24567, 23447, 1831, 811, 32615, 547, 6891, 3346, 1317, 7920, 4664, 1711, 22371, 543, 13438, 2877, 585, 2500, 2792, 269, 28304, 2591, 267, 8026, 5781, 267, 543, 17975, 1983, 849, 957, 607, 3532, 4665, 2209, 585, 2208, 543, 1646, 538, 23447, 1222, 780, 265, 13914, 540, 621, 899, 2866, 513, 4887, 30818, 1403, 596, 1616, 547, 1628, 6793, 6186, 6091, 267, 17666, 12035, 6411, 607, 513, 18463, 269, 6684, 267, 7231, 609, 7553, 5713, 607, 513, 2597, 585, 3384, 23447, 267, 4543, 7794, 741, 4276, 547, 519, 6891, 7706, 780, 8855, 267, 23447, 1222, 568, 827, 6679, 909, 547, 1007, 7399, 543, 1620, 602, 972, 781, 865, 1454, 811, 2469, 593, 1472, 721, 982, 1018, 649, 13498, 609, 938, 2947, 12823, 269, 1635, 3695, 713, 10578, 2618, 545, 9259, 267, 649, 4228, 938, 8186, 543, 12271, 267, 3850, 721, 547, 5660, 519, 5898, 543, 9814, 540, 6228, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15507, 1826, 281, 1022, 1315, 782, 1315, 8360, 563, 31374, 676, 281, 10083, 1315, 8400, 563, 4097, 269, 277, 7726, 518, 281, 11289, 596, 269, 2052, 596, 2285, 803, 1806, 540, 29512, 2962, 547, 3132, 1565, 896, 1142, 540, 519, 1739, 26333, 689, 519, 2063, 8400, 649, 1185, 2507, 2052, 596, 2285, 803, 606, 1383, 540, 519, 1582, 30313, 604, 6479, 6721, 1565, 18463, 888, 26244, 281, 594, 993, 14780, 269, 1284, 4767, 707, 1719, 538, 519, 18463, 540, 1928, 269, 901, 1995, 568, 1034, 1455, 1851, 707, 9988, 269, 634, 1928, 949, 581, 540, 519, 2168, 1950, 269, 2859, 1419, 621, 568, 540, 519, 2790, 543, 3929, 1950, 269, 769, 930, 1906, 2665, 519, 1928, 568, 5289, 538, 1950, 5991, 1155, 269, 901, 5932, 513, 1761, 585, 1565, 269, 634, 4245, 547, 581, 4121, 4268, 269, 20290, 2141, 891, 4245, 1331, 9639, 267, 10892, 267, 543, 519, 2702, 585, 519, 1769, 5905, 563, 25802, 1419, 519, 18463, 585, 3929, 1928, 267, 2436, 621, 581, 519, 2669, 540, 519, 2168, 1950, 540, 835, 824, 268, 1345, 799, 568, 6068, 610, 930, 824, 3100, 532, 2530, 267, 786, 3274, 1267, 538, 519, 6587, 267, 538, 513, 15280, 1145, 267, 606, 791, 520, 1466, 267, 513, 11877, 532, 269, 901, 568, 18463, 799, 814, 979, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8469, 1756, 338, 1222, 257, 607, 851, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 5369, 545, 26263, 1580, 320, 1315, 661, 9915, 630, 5141, 1515, 341, 1195, 766, 267, 2776, 322, 10744, 267, 17791, 15797, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 513, 1507, 10068, 8498, 593, 19168, 781, 5032, 3957, 1323, 636, 6767, 267, 972, 5030, 1079, 14552, 910, 918, 1993, 328, 543, 32765, 877, 269, 1358, 941, 1134, 8153, 5515, 1369, 519, 2146, 282, 918, 1993, 328, 729, 513, 3743, 543, 15826, 1762, 812, 945, 3061, 7134, 1010, 1920, 781, 10068, 10935, 267, 1247, 32765, 877, 1185, 6591, 711, 9461, 1214, 607, 513, 22672, 1652, 12464, 2401, 267, 1419, 2695, 663, 1359, 1010, 15271, 593, 3756, 540, 4960, 3079, 540, 5885, 1010, 7385, 543, 1453, 780, 2026, 519, 22856, 3459, 547, 2887, 1472, 4989, 267, 11423, 519, 8933, 543, 561, 6210, 976, 267, 1082, 27142, 556, 14765, 5367, 607, 789, 6785, 621, 5921, 2799, 3165, 5095, 269, 1280, 918, 1993, 328, 267, 646, 4718, 713, 607, 606, 4316, 547, 4001, 1010, 7820, 29095, 827, 4264, 10068, 2853, 269, 834, 2171, 1590, 3314, 938, 10279, 547, 2226, 3666, 2437, 646, 5143, 873, 7118, 652, 569, 269, 834, 12648, 1152, 1018, 596, 991, 267, 865, 2104, 5481, 949, 3136, 547, 4324, 1701, 27919, 543, 5683, 5539, 2095, 539, 6923, 689, 1864, 899, 519, 4195, 7297, 16138, 5109, 519, 2244, 780, 19602, 267, 32765, 877, 4862, 8941, 540, 10731, 29598, 543, 4718, 1761, 12434, 269, 22695, 1681, 1022, 4555, 540, 20208, 610, 5726, 267, 646, 18617, 930, 824, 27142, 547, 6443, 1864, 538, 1210, 10363, 10068, 2409, 971, 607, 3846, 924, 543, 6263, 17450, 7306, 269, 1452, 2853, 12219, 519, 10347, 5117, 676, 967, 4593, 3234, 514, 2299, 11318, 1585, 12748, 1272, 3029, 543, 7303, 11174, 24991, 689, 3395, 547, 15657, 269, 6736, 3355, 12374, 267, 891, 31930, 1131, 6038, 1291, 547, 1279, 3856, 10969, 566, 585, 782, 780, 3080, 1554, 267, 1310, 1776, 3811, 6952, 267, 32765, 877, 4956, 547, 8661, 676, 16475, 513, 6264, 21649, 267, 18136, 3025, 4849, 918, 1993, 328, 269, 2334, 3781, 267, 896, 519, 1000, 1074, 1782, 6801, 267, 17409, 16079, 539, 2429, 519, 8498, 269, 1717, 267, 950, 6640, 8452, 267, 4158, 12269, 3138, 15701, 522, 2381, 3585, 936, 1323, 636, 6767, 269, 24581, 22856, 23953, 1524, 24491, 8393, 267, 4929, 7839, 14700, 2059, 519, 23795, 269, 3509, 5321, 941, 10032, 267, 5989, 8697, 267, 543, 1896, 10068, 16996, 25626, 2476, 267, 1519, 32765, 877, 781, 780, 1103, 4334, 267, 918, 1993, 328, 781, 6077, 7283, 2922, 7064, 547, 922, 19756, 4070, 543, 5150, 4779, 1681, 269, 1261, 5612, 1305, 856, 547, 948, 1346, 1034, 4299, 676, 519, 6360, 269, 4635, 1010, 1702, 540, 519, 14099, 267, 646, 4044, 730, 30217, 748, 7297, 11324, 5224, 3885, 16290, 538, 741, 5321, 267, 12419, 1426, 7727, 267, 543, 5356, 1913, 540, 4313, 269, 1306, 2395, 5293, 267, 1004, 7948, 1405, 948, 855, 5635, 519, 1582, 16531, 540, 918, 1993, 328, 1996, 519, 25796, 1145, 540, 32765, 877, 267, 4171, 13989, 6208, 2451, 1864, 30779, 559, 612, 543, 8572, 547, 25580, 780, 30631, 1302, 267, 3339, 1097, 8120, 547, 1323, 636, 6767, 267, 23344, 7444, 269, 17384, 5443, 7930, 759, 25390, 960, 267, 1498, 5757, 1949, 3576, 3476, 547, 9156, 4628, 1813, 547, 519, 3441, 3361, 676, 5667, 20980, 2853, 31045, 676, 2043, 899, 32765, 877, 269, 9182, 267, 7864, 3165, 20651, 2199, 7297, 267, 16550, 1082, 547, 14679, 2484, 883, 519, 5836, 267, 7551, 32117, 10512, 9276, 780, 1607, 1995, 6026, 519, 27142, 3407, 4245, 3823, 519, 25872, 1063, 2470, 543, 1480, 2534, 269, 898, 25967, 1819, 519, 4644, 540, 18245, 2067, 9979, 543, 20170, 547, 5683, 4808, 585, 3838, 13884, 269, 1656, 1657, 782, 267, 621, 7152, 875, 1367, 5079, 1223, 13497, 1764, 1866, 267, 17923, 519, 13766, 540, 6568, 538, 3375, 6194, 3157, 780, 5804, 1287, 27477, 267, 8164, 5717, 5828, 2509, 5883, 2200, 30396, 267, 11570, 1131, 11291, 519, 9661, 540, 918, 1993, 328, 543, 32765, 877, 267, 22348, 2933, 540, 519, 1379, 4371, 1369, 1142, 3903, 1500, 269, 4256, 1650, 6039, 607, 513, 581, 13154, 13057, 519, 2619, 4464, 267, 14957, 10103, 1851, 3425, 543, 2470, 7567, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 519, 11811, 4806, 538, 19168, 1860, 519, 10068, 2872, 888, 763, 11811, 4806, 538, 19168, 4249, 513, 1713, 1909, 538, 519, 10068, 2872, 269, 19168, 814, 1079, 1292, 24925, 12405, 267, 689, 4989, 547, 5147, 543, 689, 5181, 547, 5437, 267, 543, 513, 3819, 4005, 689, 5412, 547, 4728, 269, 8528, 7628, 519, 24925, 12405, 267, 519, 8933, 543, 561, 6210, 976, 1831, 2407, 540, 1216, 267, 543, 519, 7286, 1604, 568, 849, 4299, 267, 4611, 538, 606, 2333, 538, 3165, 2551, 269, 901, 2333, 538, 3165, 2551, 5012, 547, 811, 10068, 2238, 267, 799, 13604, 4679, 519, 3761, 540, 3165, 585, 4616, 543, 13143, 269, 8528, 4913, 267, 1282, 519, 3819, 4005, 267, 519, 10068, 2872, 568, 11874, 4299, 1813, 547, 519, 5786, 538, 1216, 2157, 538, 8933, 543, 561, 6210, 976, 269, 901, 2164, 538, 513, 7771, 538, 3165, 2551, 267, 543, 29940, 616, 7142, 547, 2951, 2417, 883, 519, 4262, 267, 2810, 741, 3790, 540, 5106, 269, 8528, 11101, 267, 519, 20437, 11811, 4806, 666, 2014, 14700, 538, 519, 9381, 4525, 267, 799, 666, 6861, 10068, 2950, 543, 519, 3165, 514, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 476, 1015, 281, 14502, 9442, 538, 18726, 16370, 692, 7072, 692, 763, 4417, 540, 4719, 4066, 267, 3226, 1346, 16109, 689, 519, 5274, 32081, 5741, 630, 295, 25897, 1070, 814, 8118, 909, 513, 30162, 540, 3255, 585, 7760, 538, 4915, 543, 3782, 269, 1717, 267, 713, 4028, 3356, 849, 6770, 827, 2189, 2591, 538, 2930, 2792, 910, 519, 1184, 540, 23187, 1950, 3621, 1344, 3927, 547, 1585, 8639, 971, 607, 14519, 267, 2550, 267, 3173, 267, 543, 4213, 269, 901, 3184, 12538, 883, 519, 14960, 540, 14379, 4719, 4066, 1369, 519, 2796, 540, 1870, 3344, 543, 1893, 6575, 780, 4089, 476, 272, 281, 4197, 519, 17943, 540, 21834, 543, 2637, 5669, 5303, 692, 2414, 5968, 3927, 827, 4719, 4066, 267, 621, 568, 2629, 1101, 547, 10146, 4909, 11976, 3741, 543, 16166, 269, 2913, 721, 2253, 609, 632, 20293, 1026, 31265, 545, 3679 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 645, 3999, 514, 267, 849, 1634, 607, 12192, 645, 278, 610, 12192, 670, 267, 568, 513, 1216, 30320, 645, 6171, 602, 4249, 513, 2629, 1909, 538, 1648, 10307, 267, 1591, 2208, 267, 543, 519, 10282, 540, 9761, 7408, 543, 11254, 7408, 269, 898, 814, 6591, 8560, 538, 2487, 1296, 1813, 547, 922, 7681, 609, 4824, 4552, 267, 2960, 267, 543, 17970, 1072, 269, 1717, 267, 972, 666, 581, 1932, 1454, 540, 513, 1434, 3364, 950, 621, 2501, 547, 1979, 582, 514, 21455, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 3617, 13121, 1137, 540, 1979, 582, 514, 267, 519, 1761, 8801, 2360, 540, 7050, 6981, 267, 543, 2188, 602, 3310, 1367, 4170, 585, 713, 1898, 8770, 780, 5575, 267, 1577, 781, 4983, 519, 5227, 3232, 27108, 630, 305, 6395, 264, 585, 1979, 582, 514, 269, 17497, 267, 972, 568, 1100, 681, 6395, 3964, 4481, 585, 1979, 582, 514, 282, 2705, 267, 519, 7850, 6981, 630, 9590, 264, 1377, 814, 1044, 1305, 693, 476, 1789, 2890, 31810, 630, 32508, 326, 264, 829, 1554, 585, 4079, 543, 10708, 9907, 476, 1691, 543, 4587, 269, 1280, 9176, 2021, 267, 519, 3642, 4679, 5594, 547, 476, 3374, 26818, 326, 829, 1554, 267, 1247, 14915, 908, 2021, 2154, 476, 3374, 26818, 326, 829, 1554, 269, 1452, 2418, 2099, 519, 6059, 3328, 2179, 2838, 547, 2226, 3339, 12214, 3252, 543, 2061, 10638, 2589, 269, 898, 568, 1271, 547, 4063, 602, 1979, 582, 514, 568, 4922, 2139, 538, 1585, 1426, 2959, 971, 607, 5798, 267, 10808, 267, 5452, 267, 22053, 267, 1418, 16469, 267, 543, 930, 5388, 267, 865, 5870, 519, 3642, 998, 2732, 4805, 568, 2009, 585, 1034, 2043, 780, 3086, 267, 1577, 721, 2015, 1979, 582, 514, 21455, 269, 634, 8574, 19528, 602, 930, 1164, 3613, 31104, 1979, 582, 514, 9360, 2270, 476, 1015, 267, 1822, 26818, 326, 829, 10788, 269, 2755, 713, 1871, 20489, 519, 3642, 676, 1896, 9753, 540, 9588, 267, 621, 1281, 711, 8209, 1611, 602, 10438, 1804, 9424, 540, 1979, 582, 514, 568, 2922, 610, 6225, 269, 1677, 1174, 1946, 267, 649, 1590, 5490, 883, 519, 14278, 758, 27282, 540, 1979, 582, 514, 1107, 602, 568, 267, 875, 938, 4703, 1184, 543, 9004, 713, 6171, 780, 19284, 824, 1216, 30320, 8324, 267, 1979, 582, 514, 15225, 2189, 10338, 737, 27282, 269, 27051, 476, 2568, 260, 540, 28041, 1979, 582, 514, 568, 12842, 1780, 1947, 538, 519, 1507, 16892, 267, 1247, 519, 6967, 6712, 25457, 3742, 3560, 3842, 9770, 17466, 1617, 643, 9559, 1098, 1602, 614, 5946, 269, 12830, 569, 267, 2899, 11919, 9830, 3914, 25294, 267, 1022, 4430, 1979, 582, 514, 568, 608, 920, 1540, 796, 5471, 21966, 1242, 538, 10729, 269, 4475, 267, 2810, 519, 18262, 3564, 519, 1560, 781, 4390, 585, 10338, 3091, 2370, 5413, 538, 2474, 540, 6915, 822, 22355, 610, 12117, 780, 13010, 267, 7050, 1979, 582, 514, 6981, 814, 1044, 5532, 547, 1978, 8801, 2360, 269, 4014, 4686, 267, 1164, 2157, 540, 1979, 582, 514, 723, 1044, 4080, 547, 15936, 609, 8047, 4255, 7893, 9449, 2157, 267, 11178, 1599, 267, 543, 13487, 12508, 267, 3056, 547, 5732, 22801, 2164, 269, 3958, 267, 930, 2013, 5359, 2303, 602, 5312, 4616, 540, 1164, 1673, 846, 1979, 582, 514, 9360, 949, 3565, 547, 519, 1646, 540, 26253, 543, 2960, 30919, 269, 2859, 1382, 568, 2877, 547, 6166, 891, 12205, 543, 3715, 2312, 3106, 4808, 3823, 1279, 3856, 946, 780, 2005, 568, 4502, 15663, 602, 1367, 2115, 585, 1979, 582, 514, 4268, 4470, 593, 4719, 32739, 267, 2085, 267, 4008, 267, 543, 2949, 1072, 4567, 269, 15742, 5095, 949, 4324, 689, 2799, 1979, 582, 514, 6981, 267, 1519, 1346, 609, 15110, 4713, 7133, 1979, 582, 514, 10307, 267, 4568, 13829, 267, 6379, 267, 610, 4731, 25388, 1632, 25102, 27689, 269, 769, 891, 2665, 267, 2564, 15569, 543, 10531, 18262, 7840, 616, 1898, 547, 2327, 6099, 4093, 1510, 1981, 532, 17219, 780, 1103, 3932, 267, 1247, 1979, 582, 514, 3788, 606, 7533, 5057, 540, 1648, 10307, 543, 8309, 547, 4509, 2635, 4552, 267, 2960, 267, 543, 18969, 267, 967, 4593, 3234, 3729, 946, 540, 1164, 1673, 846, 9360, 568, 7938, 1551, 5896, 543, 5732, 5739, 269, 1306, 3743, 6800, 543, 2104, 3782, 4648, 267, 621, 568, 2565, 547, 1935, 21455, 4140, 5534, 569, 267, 6236, 1312, 519, 1134, 1673, 29545, 2640, 543, 1761, 4220, 2404, 609, 12012, 1979, 582, 514, 27921, 269, 1635, 9363, 5483, 827, 1699, 3466, 267, 2502, 538, 1930, 5188, 609, 7218, 543, 2550, 267, 543, 14957, 585, 2963, 2861, 2259, 267, 649, 666, 3895, 6099, 1072, 4093, 543, 6536, 3972, 538, 519, 2479, 21608, 7706, 540, 6484, 2257, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4692, 1411, 6875, 18320, 13518, 645, 3999, 514, 1215, 13518, 1772, 18320, 13518, 2986, 901, 22458, 2657, 26929, 454, 289, 3999, 514, 568, 513, 645, 8686, 9559, 602, 568, 512, 719, 539, 585, 922, 4552, 267, 2960, 267, 543, 17970, 2640, 269, 1809, 267, 875, 1454, 568, 1932, 1454, 286, 6258, 811, 1934, 563, 289, 3999, 514, 568, 1818, 6329, 538, 519, 5898, 1158, 607, 513, 979, 3562, 7110, 547, 948, 856, 4552, 267, 2960, 267, 543, 17970, 1072, 269, 1809, 267, 1281, 621, 2731, 2661, 909, 547, 891, 6811, 286, 1656, 267, 952, 596, 798, 6430, 547, 7914, 593, 519, 645, 3999, 514, 5721, 267, 1018, 568, 519, 8912, 21455, 18262, 267, 543, 875, 1454, 568, 1932, 1454, 888, 19350, 267, 649, 786, 3382, 519, 1761, 2360, 540, 2921, 1932, 1454, 645, 3999, 514, 267, 799, 1004, 949, 4324, 689, 21455, 267, 543, 1946, 596, 1058, 1577, 707, 4387, 917, 596, 616, 2921, 513, 645, 3999, 514, 7110, 563, 1692, 3509, 476, 1911, 876, 5062, 326, 645, 3999, 514, 623, 1571, 2052, 594, 6875, 589, 4303, 454, 15447, 2659, 645, 3999, 514, 26929, 10251, 267, 1082, 540, 519, 27581, 1164, 3613, 31104, 610, 1164, 1673, 846, 1979, 582, 514, 9360, 616, 1152, 476, 1015, 267, 1822, 26818, 326, 267, 2495, 596, 1131, 991, 547, 1491, 476, 1789, 14342, 513, 1554, 547, 3914, 519, 1482, 9570, 1336, 538, 2472, 899, 3733, 564, 514, 10378, 269, 4329, 267, 1082, 1164, 1673, 846, 1979, 582, 514, 9360, 593, 519, 544, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 10791, 1299, 12594, 1315, 23554, 7530, 1315, 645, 8324, 543, 6052, 5450, 29440, 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, 11120, 1988, 5004, 543, 5455, 326, 10232, 538, 5441, 11846, 692, 296, 269, 4985, 692, 2026, 5238, 11441, 547, 3986, 519, 2875, 268, 987, 8541, 1995, 543, 2611, 8013, 538, 519, 2479, 21608, 5251, 540, 2852, 5026, 267, 6703, 2359, 543, 18175, 10232, 723, 1831, 1898, 3334, 540, 1022, 3811, 18942, 8257, 781, 4640, 269, 769, 713, 3184, 267, 649, 786, 5490, 2620, 883, 891, 3584, 267, 3695, 741, 4644, 267, 1655, 2853, 267, 543, 4296, 547, 6626, 2872, 3466, 269, 3414, 2013, 2090, 267, 4274, 4030, 267, 543, 4052, 3156, 267, 649, 2832, 547, 16491, 3988, 609, 513, 9488, 1620, 540, 875, 547, 11126, 741, 5026, 6703, 1247, 5807, 513, 2528, 540, 6024, 6454, 543, 5647, 780, 2862, 269, 25043, 540, 11120, 1988, 5004, 692, 288, 269, 9502, 543, 9165, 692, 4263, 922, 4295, 267, 6703, 2359, 3322, 519, 11558, 543, 5826, 540, 606, 3919, 781, 2168, 7221, 267, 4180, 789, 7500, 7561, 267, 9108, 267, 543, 30396, 269, 1280, 2852, 5026, 3292, 267, 713, 13315, 3388, 689, 30806, 338, 543, 5749, 553, 547, 2259, 4610, 267, 2597, 11623, 267, 543, 9376, 518, 11623, 269, 1635, 7598, 7347, 6703, 2359, 2994, 267, 5238, 666, 7413, 10512, 3790, 267, 11694, 4199, 13345, 267, 543, 1711, 2318, 2833, 585, 9845, 267, 11655, 267, 543, 5234, 7567, 780, 289, 269, 6206, 9270, 692, 2691, 3384, 513, 6703, 2359, 1544, 267, 12621, 1590, 1491, 1896, 2188, 883, 2272, 267, 1519, 6578, 10148, 267, 9744, 2085, 543, 2783, 267, 6165, 3270, 267, 3106, 6042, 267, 543, 6639, 7760, 269, 589, 1134, 27059, 1935, 1058, 849, 6451, 2834, 10526, 540, 2773, 14573, 267, 971, 607, 1648, 4616, 267, 5826, 16131, 267, 543, 3593, 9547, 16863, 269, 901, 1239, 6087, 16984, 547, 1118, 5483, 3664, 827, 1141, 547, 21138, 2200, 543, 950, 547, 1902, 538, 18175, 10232, 610, 5372, 906, 780, 7656, 269, 12367, 538, 5441, 11846, 11120, 1988, 692, 288, 269, 11638, 26928, 28503, 692, 3080, 6932, 7678, 538, 2852, 5026, 568, 519, 1646, 540, 3818, 26928, 6703, 602, 4196, 1312, 7619, 923, 543, 19174, 269, 1452, 5624, 1419, 4183, 13460, 267, 11000, 31508, 267, 1382, 22475, 267, 543, 1353, 2127, 7258, 2757, 5026, 29319, 267, 3246, 1053, 609, 10375, 1569, 547, 3872, 2200, 1247, 5009, 3444, 16162, 9918, 5698, 269, 6201, 1331, 519, 2160, 540, 14822, 781, 24051, 7615, 22337, 4802, 13216, 543, 18628, 2160, 781, 1488, 18115, 15676, 4741, 585, 11846, 543, 28046, 780, 289, 269, 10507, 7964, 5610, 692, 5194, 3395, 1858, 540, 1719, 568, 1965, 7964, 267, 799, 814, 2938, 4028, 2208, 538, 8560, 1851, 1053, 543, 4715, 2209, 7567, 269, 3509, 12621, 723, 15527, 676, 10115, 538, 6131, 1965, 7964, 6703, 267, 2347, 609, 1164, 26024, 11080, 5904, 267, 1533, 6361, 7308, 19603, 8301, 23724, 783, 1949, 267, 543, 3318, 17263, 18297, 7207, 269, 1452, 9541, 711, 1152, 8597, 547, 519, 24567, 3747, 585, 1965, 7964, 5752, 855, 849, 948, 5238, 16174, 2933, 538, 606, 5051, 22125, 19458, 780, 4353, 269, 26875, 1944, 5455, 326, 10232, 543, 11412, 990, 725, 692, 288, 269, 30487, 2115, 543, 14422, 692, 6524, 25054, 593, 1022, 22010, 610, 22058, 566, 1788, 267, 12621, 1590, 1101, 6218, 741, 6703, 262, 1699, 2175, 543, 2697, 2127, 8506, 6454, 269, 901, 1184, 949, 4125, 10647, 12220, 267, 1151, 545, 1746, 5955, 689, 3755, 267, 7421, 6165, 1239, 267, 543, 17874, 609, 4966, 538, 1585, 4610, 630, 324, 3052, 1421, 6189, 267, 4702, 267, 2029, 1040, 20331, 609, 713, 1344, 267, 3375, 24237, 666, 1287, 3715, 2312, 6859, 267, 28868, 267, 543, 6578, 6724, 585, 1142, 11036, 780, 289, 269, 21344, 2110, 3856, 12374, 609, 1279, 3856, 5075, 692, 2691, 782, 20814, 7482, 585, 6703, 9283, 267, 12621, 1590, 10880, 513, 10347, 3666, 1063, 5466, 7525, 4145, 543, 4058, 585, 2104, 2115, 269, 2755, 621, 949, 581, 15673, 532, 547, 1445, 9003, 593, 2656, 17993, 27137, 607, 16459, 1007, 32005, 610, 21130, 27939, 1765, 13318, 4801, 1058, 849, 2015, 811, 7580, 9541, 602, 5447, 609, 741, 2949, 5692, 267, 2418, 267, 543, 3853, 269, 1280, 1383, 267, 3859, 8440, 8704, 29691, 513, 30806, 8122, 1223, 5352, 8907, 998, 1648, 6455, 1247, 4227, 3327, 5434, 543, 15386, 519, 9872, 781, 7029, 547, 6940, 780, 309, 269, 10390, 692, 19931, 6703, 2359, 543, 6098, 18175, 10232, 616, 2565, 3334, 540, 1022, 3811, 2852, 5026, 1982, 269, 1635, 12561, 513, 14942, 267, 1239, 12454, 1935, 267, 5238, 666, 2327, 741, 6703, 2743, 519, 9687, 2115, 540, 2875, 268, 987, 2280, 525, 267, 19393, 267, 11655, 267, 543, 5234, 1247, 11744, 513, 7029, 547, 17284, 267, 5647, 267, 543, 19642, 269, 1306, 649, 1847, 4464, 267, 621, 786, 581, 4241, 547, 1294, 875, 2417, 8441, 538, 2029, 267, 1374, 267, 543, 3593, 7375, 3136, 547, 3337, 519, 8916, 540, 1312, 1908, 326, 5573, 7619, 923, 543, 6703, 2359, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2690, 1346, 602, 1413, 585, 547, 3095, 741, 2648, 609, 513, 8297, 696, 3293, 540, 12094, 267, 21889, 14034, 1683, 513, 12667, 4781, 269, 6787, 621, 779, 513, 9645, 1554, 267, 513, 1899, 689, 513, 9053, 22565, 267, 610, 513, 1455, 5728, 3009, 267, 1202, 21564, 12651, 519, 8258, 547, 513, 7184, 1367, 818, 974, 2399, 267, 513, 9602, 7198, 547, 519, 11029, 2906, 540, 513, 6292, 779, 2648, 9661, 563, 11900, 5524, 267, 609, 922, 15568, 6612, 267, 2242, 513, 8258, 1318, 883, 513, 17198, 585, 1367 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 532, 12417, 267, 543, 3354, 3800, 3144, 547, 2149, 1312, 1004, 543, 3959, 1282, 519, 9042, 269, 14936, 267, 5402, 2689, 11731, 4843, 676, 17053, 3549, 267, 4180, 789, 5693, 7291, 9021, 267, 10243, 3928, 267, 543, 32158, 9309, 618, 4507, 1058, 3688, 3111, 547, 6133, 780, 4089, 476, 275, 281, 16373, 543, 8871, 10056, 9828, 692, 22546, 1947, 5009, 606, 10040, 9042, 3340, 513, 3818, 1922, 14239, 1935, 16107, 1585, 9055, 543, 12485, 269, 12465, 10229, 23447, 899, 1820, 14786, 267, 8038, 619, 267, 543, 1129, 720, 2611, 2442, 3681, 282, 2705, 267, 3059, 5867, 1631, 20441, 519, 5251, 1813, 547, 741, 2484, 23568, 7207, 543, 1942, 13716, 4369, 269, 15019, 5079, 1331, 1514, 2923, 2516, 6131, 547, 9140, 267, 9513, 267, 9467, 267, 543, 20476, 664, 10122, 282, 7463, 7270, 23695, 14311, 547, 10040, 6455, 282, 543, 2489, 9286, 338, 4609, 10023, 7347, 17609, 10342, 780, 32381, 540, 3760, 5542, 267, 8903, 11673, 10483, 676, 1164, 7779, 11147, 3648, 2087, 6278, 543, 20343, 3928, 269, 31209, 2189, 610, 4686, 4773, 267, 2671, 4277, 2984, 3297, 1978, 13742, 267, 543, 11168, 4798, 1119, 532, 10070, 1927, 547, 533, 1664, 7279, 543, 5000, 10918, 2623, 269, 5015, 267, 2870, 23473, 1472, 3908, 6066, 3091, 11479, 3723, 6808, 543, 4665, 919, 2038, 2855, 11040, 547, 2879, 698, 8179, 8584, 1123, 9388, 780, 4089, 476, 276, 281, 13079, 1081, 4303, 7454, 13756, 692, 763, 1554, 540, 519, 10040, 9042, 7569, 6297, 4058, 267, 3919, 267, 543, 15569, 547, 10018, 5347, 4238, 543, 13854, 5561, 269, 5071, 622, 1808, 2127, 585, 4393, 8852, 267, 18071, 25584, 267, 543, 8383, 908, 1804, 24921, 269, 22682, 6003, 5777, 1210, 5110, 762, 14398, 1161, 610, 16776, 3413, 12089, 609, 5569, 547, 7413, 3441, 547, 10347, 7252, 269, 19372, 6109, 3652, 3823, 27410, 28774, 267, 16561, 4244, 8569, 2409, 267, 543, 8066, 3688, 585, 2663, 4584, 1575, 780, 15563, 267, 2226, 1930, 2792, 9055, 1063, 5234, 2818, 267, 3850, 2656, 1966, 6571, 543, 13916, 9624, 9687, 6381, 269, 11559, 7874, 2943, 7682, 633, 4205, 609, 29123, 267, 5807, 513, 22205, 5790, 20009, 547, 10956, 1870, 543, 2262, 6361, 2173, 1926, 3277, 23552, 780, 6962, 692, 32382, 519, 1950, 1158, 540, 10040, 6455, 3340, 9639, 267, 31806, 267, 543, 7580, 3206, 269, 1635, 1739, 1655, 2853, 13890, 2429, 713, 3184, 267, 3885, 666, 18390, 4383, 519, 3892, 540, 19644, 28378, 1247, 3854, 1944, 593, 29988, 3255, 6456, 1369, 9583, 8723, 7622, 3688, 269, 5457, 267, 1169, 10040, 6645, 513, 1650, 1107, 1577, 1346, 6386, 11200, 6461, 1227, 267, 9159, 9458, 543, 10451, 10761, 602, 18922, 883, 2799, 20656, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1692, 547, 590, 749, 513, 5600, 9509, 540, 853, 4428, 543, 7665, 4476, 2659, 4515, 1080, 538, 4639, 19134, 5112, 267, 11632, 454, 306, 2454, 513, 2777, 4904, 609, 8823, 543, 28378, 666, 581, 4101, 267, 2436, 621, 781, 707, 1378, 1753, 610, 835, 596, 4312, 15110, 269, 634, 3929, 13613, 547, 2123, 3688, 543, 17825, 666, 1118, 519, 1184, 3100, 11566, 269, 1717, 267, 3616, 32211, 543, 8600, 707, 4639, 19134, 5112, 1753, 585, 9042, 616, 2629, 3268, 538, 791, 7675, 1761, 18046, 543, 4946, 1713, 1871, 547, 707, 1753, 9042, 269, 769, 1249, 267, 2687, 547, 1382, 267, 3616, 32211, 4805, 666, 2333, 707, 1753, 781, 9042, 3902, 676, 2673, 547, 1269, 279, 267, 1822, 563, 26156, 19134, 5112, 11667, 1753, 5777, 936, 519, 2250, 476, 274, 1296, 1397, 606, 16057, 7678, 267, 10834, 15028, 2344, 2175, 585, 23965, 563, 2252, 596, 2811, 513, 4639, 19134, 5112, 1753, 26782, 11842, 875, 547, 6133, 513, 2777, 2407, 540, 8631, 543, 1118, 519, 1034, 540, 519, 4316, 267, 649, 4312, 3893, 596, 4988, 269, 901, 3102, 3391, 786, 1683, 4274, 4388, 543, 2994, 547, 6330, 713, 4101, 1184, 6707, 563, 272, 269, 6875, 519, 5384, 547, 717, 4471, 557, 454, 2252, 596, 2811, 632, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 8063, 22312, 11150, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 11370, 3539, 1299, 590, 2454, 1315, 24529, 19833, 1299, 19554, 19590, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 5030, 1079, 1762, 2828, 3957, 7665, 543, 15039, 269, 1358, 1312, 6068, 1818, 2575, 1927, 543, 4941, 547, 1491, 741, 7574, 13144, 547, 519, 1985, 1377, 269, 1809, 789, 6785, 789, 2877, 948, 689, 824, 12372, 547, 1118, 741, 9909, 2097, 3020, 269, 1924, 267, 789, 4280, 2933, 267, 834, 6011, 798, 649, 1265, 519, 1318, 3523, 2209, 585, 938, 2575, 3785, 12482, 16655, 543, 15039, 3323, 676, 13033, 609, 824, 12372, 269, 1358, 13984, 2199, 30145, 267, 8678, 2228, 2575, 15473, 267, 543, 6603, 856, 547, 824, 12372, 2047, 269, 3414, 891, 4205, 267, 789, 1558, 1007, 1004, 267, 4121, 1114, 6163, 540, 2575, 543, 4362, 519, 2956, 540, 2792, 538, 2679, 2178, 3347, 780, 9202, 267, 789, 1031, 1514, 2923, 547, 4228, 741, 3406, 269, 1358, 2813, 9708, 543, 18537, 5275, 21769, 543, 4448, 609, 12372, 689, 782, 936, 519, 1158, 269, 901, 5280, 873, 1174, 875, 2029, 814, 1500, 621, 4443, 585, 1004, 547, 5968, 543, 2671, 2093, 2066, 5318, 9883, 780, 3080, 1554, 267, 1247, 11504, 513, 2575, 2680, 267, 789, 1558, 513, 4583, 2575, 16073, 3957, 6341, 269, 1261, 6035, 547, 12840, 609, 873, 543, 6338, 873, 547, 1010, 3060, 540, 22407, 543, 5159, 269, 11554, 609, 6341, 6026, 873, 519, 1871, 540, 16542, 543, 875, 9256, 741, 1983, 609, 1866, 1223, 1267, 538, 1945, 1256, 811, 9058, 982, 1018, 789, 1223, 3035, 4805, 780, 7661, 267, 7665, 543, 15039, 21503, 2228, 543, 1336, 1896, 22459, 1463, 1559, 543, 28479, 766, 7270, 269, 1452, 2200, 4951, 873, 519, 4763, 540, 13007, 2139, 5001, 543, 875, 2029, 1185, 13087, 1004, 547, 1921, 543, 12840, 3362, 780, 4913, 267, 5103, 4466, 1082, 16805, 12372, 267, 7665, 543, 15039, 7691, 602, 711, 3025, 3838, 741, 5075, 610, 2418, 269, 1358, 4121, 602, 17356, 729, 1898, 950, 7446, 3523, 2209, 267, 543, 3006, 621, 3576, 4693, 543, 5470, 1354, 4466, 519, 1318, 3514, 780, 1103, 3932, 267, 7665, 543, 15039, 24389, 593, 513, 3460, 547, 1265, 519, 1318, 3523, 2209, 585, 741, 2575, 3785, 269, 13966, 519, 1259, 267, 789, 7471, 2257, 2035, 971, 607, 2792, 267, 2029, 267, 16542, 267, 543, 4763, 269, 4014, 789, 4769, 1405, 5612, 1265, 3501, 13292, 267, 789, 6591, 3407, 4245, 827, 1272, 543, 2257, 267, 6028, 873, 9599, 585, 2104, 10319, 3255, 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, 22081, 798, 596, 1265, 519, 1318, 3523, 2209, 547, 960, 609, 593, 707, 2575, 3785, 888, 296, 798, 711, 723, 2123, 2833, 610, 4664, 282, 2705, 267, 1775, 666, 1683, 930, 4388, 593, 875, 547, 1265, 519, 1318, 3523, 2209, 585, 707, 2575, 1788, 1759, 593, 1382, 780, 272, 269, 3060, 609, 824, 12372, 281, 7390, 2199, 30145, 267, 6443, 2228, 2575, 15473, 267, 610, 3914, 856, 547, 824, 12372, 2047, 547, 1628, 3347, 543, 1761, 3523, 2209, 780, 273, 269, 946, 1514, 2923, 281, 3914, 856, 547, 12372, 998, 1514, 2923, 5867, 267, 1711, 9708, 610, 18537, 5275, 585, 21769, 269, 8528, 274, 269, 7390, 2575, 2621, 281, 1413, 585, 30145, 267, 1930, 544, 923, 267, 610, 25888, 7886, 602, 616, 4143, 547, 707, 2575, 9135, 543, 3142, 707, 1870, 3556, 607, 1134, 780, 275, 269, 12840, 609, 513, 16073, 281, 1082, 2575, 12696, 723, 513, 3060, 540, 22407, 543, 5159, 267, 865, 2324, 609, 835, 666, 1291, 547, 4296, 609, 824, 12372, 602, 1223, 3986, 707, 2575, 1788, 780, 276, 269, 1382, 2228, 281, 2263, 2228, 1463, 1559, 540, 12372, 267, 28479, 22083, 7270, 267, 610, 2575, 5698, 3103, 527, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 769, 2221, 781, 5051, 10562, 543, 1099, 10999, 4359, 1870, 5251, 267, 3549, 2066, 1585, 6080, 7048, 8185, 593, 2029, 547, 7500, 7561, 543, 3927, 269, 1717, 267, 713, 13829, 849, 27875, 4213, 547, 2189, 4220, 2404, 609, 6639, 14286, 267, 6959, 267, 543, 9631, 3827, 269, 901, 3184, 786, 1445, 4481, 593, 15306, 661, 261, 302, 6142, 1107, 513, 7463, 1826, 540, 15668, 3795, 2966, 547, 2149, 4213, 1996, 2883, 9271, 4611, 689, 891, 2010, 540, 13685, 269, 1284, 786, 2263, 519, 1523, 540, 15306, 661, 261, 302, 6142, 538, 3829, 267, 6313, 922, 10083, 547, 2413, 4213, 267, 3226, 1346, 5665, 1369, 519, 9235, 2872, 267, 971, 607, 3162, 3979, 24539, 2951, 25696, 5018, 538, 519, 2546, 1349, 780, 2414, 2253, 609, 267, 1577, 721, 5581, 1018, 15306, 661, 261, 302, 6142, 14122, 269, 2311, 922, 4295, 267, 15306, 661, 261, 302, 6142, 2488, 4027, 1996, 6811, 16109, 689, 9073, 1500, 1282, 519, 2773, 540, 3318, 2533, 5473, 2029, 269, 1452, 9073, 666, 8915, 2933, 538, 1585, 2081, 267, 1519, 3301, 12961, 267, 1062, 29987, 267, 1239, 23563, 267, 610, 1256, 5821, 547, 5838, 16219, 10509, 3435, 269, 1280, 3236, 267, 952, 513, 2951, 8116, 14767, 7218, 1569, 547, 12600, 2228, 1433, 532, 2645, 855, 14543, 547, 5838, 1813, 547, 2930, 2152, 267, 789, 949, 581, 4371, 25964, 585, 1022, 14796, 11124, 676, 741, 5561, 269, 15306, 661, 261, 302, 6142, 1131, 948, 3382, 3656, 12375, 267, 11175, 3790, 267, 610, 824, 9276, 1644, 547, 20547, 971, 13882, 780, 3086, 602, 649, 1174, 519, 9238, 540, 15306, 661, 261, 302, 6142, 1577, 721, 5490, 4514, 883, 1946, 621, 568, 1898, 585, 2413, 4213, 267, 2523, 1346, 5356, 2951, 5829, 2533, 269, 1306, 2518, 3059, 1436, 5170, 3284, 864, 267, 811, 5561, 2503, 15774, 543, 3608, 2228, 4205, 950, 4058, 741, 15143, 269, 9182, 267, 2951, 8041, 1590, 1902, 8185, 538, 10427, 4066, 899, 10911, 300, 1949, 267, 3642, 14617, 26962, 267, 543, 2688, 5985, 3156, 547, 2743, 891, 6788, 269, 2755, 891, 9541, 2709, 16854, 1761, 2640, 267, 789, 849, 16616, 10909, 547, 2799, 1981, 1058, 1945, 979, 4636, 780, 2690, 1383, 267, 2015, 513, 1164, 15134, 24539, 2951, 28013, 5009, 606, 15138, 1760, 926, 1995, 10023, 1533, 6361, 7308, 19603, 5691, 4641, 9843, 1115, 585, 5171, 269, 1403, 513, 2930, 1350, 3558, 11151, 3755, 689, 11981, 713, 4183, 267, 789, 1522, 3343, 13180, 585, 519, 8297, 1441, 1995, 269, 9453, 7850, 15306, 661, 261, 302, 3795, 267, 519, 28013, 1223, 3068, 1713, 2883, 4539, 267, 5732, 17116, 741, 23812, 780, 11101, 267, 519, 29298, 540, 13385, 15306, 661, 261, 302, 6142, 8831, 3564, 7525, 6075, 20286, 269, 24371, 1336, 18621, 550, 538, 7829, 6213, 7817, 1344, 630, 7945, 607, 1780, 1636, 3877, 610, 8569, 9623, 264, 949, 3068, 646, 11998, 22717, 896, 1239, 7834, 6042, 899, 12654, 305, 610, 623, 8008, 8656, 269, 3958, 267, 2942, 32398, 31827, 689, 796, 637, 9407, 10509, 32657, 2355, 666, 2144, 1712, 7082, 3972, 543, 2800, 6216, 10639, 267, 3056, 547, 2417, 2804, 9271, 269, 4935, 267, 2348, 7347, 15306, 661, 261, 302, 4027, 3587, 14063, 538, 5883, 891, 9867, 4220, 780, 16352, 3964, 519, 2956, 540, 15306, 661, 261, 302, 6142, 267, 1577, 721, 1631, 2490, 938, 3007, 547, 875, 621, 3252, 1369, 519, 6626, 2796, 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 ]
[ 513, 2039, 540, 2992, 766, 689, 27556, 547, 1179, 983, 563, 11854, 4788, 2992, 766, 568, 513, 11604, 6438, 8086, 267, 799, 4386, 950, 606, 454, 15953, 609, 513, 5347, 2627, 9356, 538, 835, 4287, 269, 634, 19670, 454, 2784, 2747, 786, 2992, 1055, 513, 2627, 693, 519, 1482, 5086, 540, 11841, 454, 263, 8201, 476, 273, 268, 1240, 1040, 5262, 2224, 610, 19681, 6975, 1014, 2992, 766, 9356, 538, 782, 454, 29715, 687, 19962, 547, 513, 11315, 2627, 269, 901, 1826, 540, 2992, 766, 3947, 519, 454, 2865, 1344, 827, 606, 1843, 269, 0, 2691, 3617, 547, 946, 519, 2262, 834, 23437, 5534, 4840, 13528, 532, 1315, 1315, 5412, 476, 866, 267, 476, 1001, 280, 454, 291, 17152, 798, 711, 3970, 519, 9165, 540, 519, 946, 540, 519, 2262, 269, 6736, 519, 1249, 602, 1082, 2161, 834, 23437, 5534, 257, 1152, 538, 6935, 547, 1426, 267, 519, 18781, 666, 849, 581, 1031, 538, 14966, 609, 1875, 24737, 1043, 3615, 269, 589, 12161, 621, 786, 711, 581, 281, 621, 782, 5673, 593, 707, 1259, 540, 6544, 1516, 519, 1158, 563, 2171, 723, 4121, 689, 2618, 565, 3907, 626, 267, 1018, 568, 519, 2339, 563, 2414, 2253, 267, 1577, 721, 2490, 547, 23316, 269, 12791, 540, 519, 2262, 834, 23437, 5534, 257, 910, 834, 17862, 547, 519, 6492, 267, 799, 3123, 5418, 553, 9092, 17915, 538, 812, 267, 851, 809, 540, 1426, 1701, 2311, 519, 1482, 942, 621, 814, 513, 27461, 2495, 540, 834, 17862, 267, 11791, 1701, 4935, 267, 689, 519, 1448, 540, 2070, 540, 23316, 547, 2161, 834, 23437, 5534, 257, 827, 538, 539, 1043, 1843, 568, 11807, 269, 1809, 689, 519, 1448, 540, 2070, 540, 6530, 267, 972, 568, 513, 2603, 540, 4277, 16082, 563, 5278, 1004, 899, 519, 8360, 3123, 5042, 4744, 28585, 267, 1247, 1866, 3494, 621, 568, 3833, 18900, 269, 901, 568, 1317, 4470, 593, 875, 519, 8226, 540, 1344, 267, 1004, 616, 5258, 883, 1079, 6688, 281, 10444, 543, 703, 8462, 563, 763, 2262, 834, 23437, 5534, 257, 689, 519, 20750, 6625, 540, 14815, 267, 538, 1249, 789, 616, 4712, 547, 5635, 609, 741, 737, 2088, 20469, 267, 1351, 335, 648, 531, 1995, 4376, 269, 1452, 1004, 616, 1031, 547, 4483, 782, 540, 922, 8753, 538, 519, 7077, 540, 519, 834, 10623, 601, 2580, 834, 339, 13224, 2580, 834, 1729, 6492, 1701, 4475, 267, 519, 8360, 834, 937, 675, 17705, 257, 610, 834, 23437, 5534, 1257, 257, 786, 711, 2014, 10444, 18349, 267, 1317, 621, 4992, 538, 1010, 1378, 1893, 563, 22336, 2251, 8335, 2060, 2271, 3726, 269, 1452, 616, 1004, 945, 616, 1419, 538, 519, 12269, 267, 1033, 3737, 689, 519, 1570, 1158, 269, 1656, 585, 873, 267, 782, 519, 10444, 1913, 538, 6935, 711, 547, 519, 3312, 1843, 630, 7474, 568, 267, 711, 547, 3548, 264, 910, 616, 7493, 2035, 267, 19039, 20060, 1619, 543, 20060, 1619, 269, 2271, 3726, 568, 711, 2312, 267, 24858, 543, 21173, 630, 528, 6148, 1175, 2014, 9983, 610, 17409, 910, 621, 782, 5673, 593, 1367, 1915, 7592, 1070, 950, 646, 4862, 827, 519, 8949, 1433, 563, 24718, 519, 8360, 281, 834, 2791, 723, 19557, 547, 13181, 11000, 257, 543, 834, 2791, 19557, 547, 513, 11000, 8949, 1701, 769, 519, 1101, 2013, 267, 519, 18781, 1281, 711, 1577, 519, 6405, 267, 855, 13181, 267, 543, 1034, 11932, 267, 513, 9243, 1871, 269, 1656, 519, 2034, 910, 568, 16148, 267, 543, 649, 7691, 267, 3123, 1114, 6547, 538, 1004, 563, 268, 834, 763, 1034, 8949, 6995, 910, 835, 602, 596, 4235, 538, 513, 1259, 1701, 7665, 674, 787, 324, 267, 834, 763, 12798, 267, 23109, 543, 2367, 4799, 268, 834, 4517, 642, 1328, 553, 16408, 10443, 547, 1413, 267, 543, 519, 6967, 27374, 28728, 539, 741, 28182, 547, 1832, 751, 2130, 883, 519, 3552, 17409, 267, 8949, 607, 2038, 22229, 1701, 14105, 17659, 12064, 267, 834, 11764, 1067, 27450, 267, 14400, 13957, 4799, 268, 834, 296, 723, 2141, 5156, 602, 1202, 534, 640, 31029, 267, 4158, 543, 15280, 267, 855, 621, 5828, 856, 602, 267, 950, 27153, 538, 621, 2965, 267, 621, 568, 2571, 543, 17705, 1701, 22186, 787, 333, 14351, 9116, 267, 834, 763, 6435, 4799, 2414, 2328, 1134, 910, 568, 513, 3730, 5578, 267, 543, 1020, 621, 568, 711, 865, 2352, 269, 634, 1655, 1259, 910, 998, 834, 22873, 658, 257, 10403, 543, 14869, 1576, 593, 3860, 1603, 20233, 325, 327, 752, 5028, 15769, 269, 1411, 786, 1265, 513, 3069, 267, 1082, 1806, 543, 6780, 269, 9406, 910, 621, 786, 581, 4443, 547, 1685, 519, 1449, 4305, 543, 1831, 938, 2278, 269, 4427, 18285, 256, 0, 268, 476, 272, 269, 273, 595, 1258, 2816, 1107, 1455, 269, 8745, 19410, 282, 4855, 524, 3224, 629, 13005, 655, 517, 1184, 281, 30127, 10517, 1835, 1180, 281, 5903, 524, 1258, 6009, 2813, 676, 12957, 281, 561, 338, 910, 331, 628, 1315, 31756, 11305, 1258, 269, 5903, 524, 1258, 6009, 2813, 676, 803, 563, 268, 9947, 476, 866, 267, 476, 1001, 279, 6997, 5590, 1575, 585, 519, 18648, 569, 27358, 524, 1258, 2816, 20638, 281, 5590, 513, 1007, 2816, 609, 948, 540, 524, 3224, 629, 547, 2196, 513, 9226, 7097, 799, 786, 32135, 782, 1239, 689, 538, 513, 1880, 15682, 269, 2913, 8263, 968, 30236, 1575, 892, 568, 519, 15682, 4171, 1239, 786, 581, 23498, 8850, 1169, 1079, 3764, 269, 4935, 649, 723, 10710, 930, 1239, 3330, 1315, 24610, 270, 30236, 1575, 563, 30787, 909, 524, 1258, 6009, 538, 1133, 1460, 543, 9891, 529, 454, 8448, 12981, 575, 527, 2845, 910, 13133, 1399, 284, 8971, 281, 910, 4067, 26209, 910, 26238, 8782, 272, 1032, 3516, 262, 1948, 1397, 6119, 585, 1142, 3479, 936, 519, 2250, 1032, 575, 527, 2845, 910, 13133, 1399, 284, 517, 5202, 575, 527, 19467, 910, 338, 638, 1662, 707, 1532, 13361, 268, 4067, 1948, 23601, 1776, 7936, 607, 513, 2582, 3479, 543, 19467, 575, 527, 6450, 848, 1948, 1234, 1952, 569, 862, 1080, 593, 1283, 540, 1776, 3490, 9133, 575, 527, 588, 1662, 1948, 4688, 782, 2199, 27424, 2242, 543, 19268, 16777, 4696, 575, 527, 9337, 268, 8161, 910, 817, 2541, 268, 4875, 6548, 563, 322, 1258, 568, 513, 796, 1460, 267, 3859, 529, 10626, 602, 2636, 4247, 547, 581, 8850, 2196, 538, 519, 4282, 693, 2834, 11996, 676, 519, 524, 1258, 13005, 655, 517, 269, 1452, 4247, 616, 1419, 17941, 607, 524, 1258, 6009, 538, 796, 1460, 2073, 3859, 529, 269, 595, 3224, 629, 630, 10135, 2177, 570, 5723, 548, 264, 568, 513, 3758, 799, 3568, 519, 8430, 540, 524, 1258, 13366, 547, 581, 2196, 543, 693, 9138, 2053, 563, 1607, 3561, 6227, 1739, 3344, 540, 1133, 1460, 524, 1258, 6009, 454, 272, 269, 595, 3224, 629, 10163, 2774, 687, 454, 273, 269, 595, 3224, 629, 2155, 1343, 454, 274, 269, 595, 3224, 629, 3758, 1107, 16105, 454, 275, 269, 595, 3224, 629, 7151, 454, 276, 269, 595, 3224, 629, 5113, 454, 277, 269, 2598, 762, 19478, 454, 278, 269, 2637, 4733, 2845, 3758, 585, 524, 3224, 629, 2534, 454, 272, 269, 595, 1258, 9184, 10163, 2774, 687, 454, 2791, 666, 14892, 524, 3224, 629, 952, 707, 2012, 5526, 538, 519, 3758, 1315, 23591, 270, 12221, 11305, 1258, 11305, 1258, 269, 9994, 269, 1403, 602, 3758, 1281, 711, 2291, 267, 596, 666, 946, 454, 322, 3224, 629, 952, 707, 2012, 1281, 711, 2408, 538, 519, 3758, 1315, 23591, 270, 12221, 11305, 1258, 11305, 1258, 6155, 523, 344, 563, 2252, 1152, 524, 1258, 6155, 523, 344, 6818, 543, 568, 8900, 267, 782, 3755, 666, 946, 524, 3224, 629, 269, 1403, 9444, 3758, 6818, 267, 1152, 519, 3597, 3593, 666, 946, 524, 3224, 629, 269, 634, 1450, 270, 6577, 344, 6119, 2874, 540, 835, 3593, 2012, 829, 1899, 563, 273, 269, 595, 1258, 9184, 2155, 1343, 454, 1410, 1636, 11581, 3951, 3036, 284, 12858, 6902, 1729, 14574, 513, 9375, 547, 1930, 524, 3224, 629, 3758, 563, 322, 3224, 629, 910, 324, 22478, 707, 524, 3224, 629, 3758, 267, 610, 1711, 835, 952, 621, 3085, 1406, 2907, 2291, 563, 322, 3224, 629, 910, 331, 18224, 707, 524, 3224, 629, 3758, 563, 322, 3224, 629, 910, 337, 17179, 707, 524, 3224, 629, 3758, 563, 322, 3224, 629, 910, 341, 18224, 519, 2063, 942, 596, 12995, 707, 524, 3224, 629, 3758, 269, 630, 1607, 4781, 568, 1152, 2139, 593, 513, 1906, 1949, 8094, 274, 269, 595, 1258, 9184, 3758, 454, 290, 3224, 629, 16105, 10778, 288, 524, 3224, 629, 3758, 814, 2947, 4610, 585, 28408, 1554, 2073, 4266, 543, 942, 4553, 676, 519, 4971, 547, 581, 2196, 693, 602, 8884, 563, 289, 4700, 634, 20487, 540, 2395, 666, 581, 1500, 538, 1079, 4610, 281, 3923, 1554, 543, 3018, 1485, 269, 1403, 1312, 616, 9138, 538, 606, 7127, 267, 789, 616, 19469, 2495, 1312, 540, 519, 13366, 786, 1205, 13401, 4586, 275, 269, 595, 1258, 9184, 7151, 454, 1789, 476, 1240, 2608, 2608, 2608, 678, 332, 1315, 24610, 4882, 727, 12528, 14121, 5404, 270, 20330, 2419, 4474, 519, 9936, 2418, 607, 2630, 786, 2014, 713, 4971, 547, 2196, 693, 1114, 942, 8430, 2630, 10778, 9616, 2433, 1403, 596, 538, 30541, 1836, 4283, 519, 524, 3224, 629, 4971, 609, 1100, 4661, 4433, 1070, 798, 711, 3801, 547, 1205, 856, 609, 6513, 1673, 269, 901, 18788, 782, 13366, 538, 707, 524, 3224, 629, 3758, 269, 5502, 267, 14827, 609, 6513, 2275, 563, 276, 269, 595, 1258, 9184, 5113, 454, 5825, 619, 945, 7287, 547, 723, 741, 1547, 2889, 12803, 13401, 1590, 12799, 798, 865, 538, 519, 524, 3224, 629, 7127, 610, 538, 513, 7097, 1572, 676, 519, 7127, 563, 277, 269, 2598, 762, 19478, 454, 293, 656, 6470, 25624, 4258, 520, 16847, 454, 278, 269, 2637, 4733, 2845, 3758, 454, 288, 345, 675, 595, 1258, 16763, 4258, 520, 16847, 454, 1789, 476, 1240, 2608, 2608, 2608, 678, 332, 1315, 24610, 4882, 727, 12528, 14121, 5404, 270, 265, 3436, 1315, 24610, 4882, 727, 12528, 11305, 1258, 8421, 338, 270, 30236, 4671, 5404, 5091, 597, 28802, 0, 763, 1325, 557, 565, 4345, 521, 545, 8619, 4386, 607, 513, 28658, 1310, 5694, 10868, 269, 634, 31276, 565, 639, 3587, 28332, 269, 634, 31276, 565, 639, 568, 519, 536, 3415, 5694, 23094, 563, 1103, 31276, 565, 4345, 521, 545, 8619, 267, 519, 536, 3415, 5694, 23094, 3587, 28332, 1310, 5694, 10868, 269, 634, 2068, 4386, 1079, 547, 2185, 2395, 1310, 519, 5694, 10868, 563, 1103, 31276, 565, 4345, 521, 545, 8619, 267, 519, 536, 3415, 5694, 23094, 3587, 28332, 1310, 5694, 10868, 269, 634, 2068, 4386, 1079, 547, 2185, 2395, 1310, 5694, 10868, 543, 568, 10483, 676, 4049, 1928, 269, 634, 28658, 4386, 5631, 538, 519, 1858, 540, 519, 2539, 10265, 543, 15866, 538, 519, 5086, 540, 519, 10265, 269, 634, 5642, 1934, 568, 1360, 11741, 543, 814, 2370, 1973, 3761, 269, 769, 25691, 666, 1020, 811, 3533, 563, 763, 31276, 565, 4345, 521, 545, 8619, 568, 849, 1572, 26541, 528, 2022, 10868, 655, 11280, 269, 901, 2012, 9356, 519, 1292, 10835, 540, 519, 2068, 269, 26541, 528, 2022, 10868, 655, 538, 8144, 1797, 1928, 1310, 10868, 269, 769, 2564, 1612, 28917, 267, 519, 2165, 568, 849, 1031, 811, 543, 811, 4749, 5403, 268, 2169, 3555, 6794, 269, 6271, 5707, 1782, 568, 1325, 557, 6897, 26723, 4345, 563, 10376, 5694, 568, 7923, 547, 519, 5642, 538, 519, 31276, 565, 639, 609, 11103, 269, 2991, 9427, 519, 5694, 267, 513, 536, 3415, 543, 1863, 2230, 568, 2813, 1934, 269, 901, 25361, 609, 1973, 269, 634, 4611, 1973, 8052, 568, 849, 1634, 607, 513, 30243, 4918, 269, 898, 32195, 519, 1930, 10138, 543, 14014, 519, 5694, 23094, 689, 4551, 543, 824, 13596, 269, 26023, 267, 519, 30243, 4918, 6411, 607, 513, 2186, 540, 2067, 6512, 720, 563, 5475, 1507, 1973, 8043, 723, 6738, 538, 267, 519, 30243, 4918, 568, 10736, 883, 24561, 5160, 269, 634, 2014, 540, 31276, 565, 4345, 521, 545, 8619, 568, 513, 30477, 1674, 540, 519, 1973, 8052, 269, 634, 1973, 8052, 666, 581, 6569, 689, 519, 31276, 565, 639, 676, 32092, 532, 519, 5023, 1932, 25525, 3585, 269, 1717, 267, 4551, 949, 849, 723, 3893, 883, 519, 10138, 543, 6569, 519, 1973, 8052, 269, 2368, 2550, 849, 15237, 519, 30243, 4918, 856, 540, 519, 10138, 609, 519, 2220, 629, 563, 5475, 3226, 2352, 5694, 1349, 687, 267, 1419, 1152, 606, 18633, 30243, 4918, 3029, 269, 4634, 952, 972, 568, 1360, 2370, 11702, 689, 519, 10138, 267, 1100, 30243, 4918, 666, 1106, 269, 6271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5610, 814, 1044, 4330, 607, 12882, 24709, 1670, 12683, 1143, 5889, 630, 295, 1231, 24849, 267, 476, 1220, 279, 267, 533, 269, 476, 3607, 272, 1040, 1280, 1383, 267, 4470, 593, 519, 2470, 540, 519, 4093, 540, 1719, 543, 1419, 519, 2361, 540, 6791, 540, 519, 1382, 2319, 630, 324, 3052, 1421, 1514, 1414, 268, 679, 576, 267, 4915, 1070, 519, 3067, 2305, 540, 2360, 666, 581, 9867, 269, 4317, 3744, 1419, 946, 13387, 3800, 540, 12882, 324, 977, 2450, 5889, 630, 10870, 1156, 267, 476, 2735, 279, 264, 547, 1450, 585, 6476, 689, 1353, 547, 1353, 269, 12338, 26160, 616, 1031, 547, 4766, 891, 552, 325, 268, 535, 31637, 607, 12882, 20791, 5889, 630, 271, 269, 736, 1070, 12882, 4364, 1756, 5889, 630, 271, 269, 2004, 1070, 610, 12882, 26171, 5889, 630, 271, 269, 3199, 1040, 634, 2721, 3724, 547, 891, 3800, 568, 602, 789, 616, 1770, 1652, 543, 2352, 547, 4612, 689, 513, 4791, 5133, 269, 769, 4334, 267, 2564, 3173, 1419, 4782, 547, 4983, 796, 20598, 1242, 3604, 267, 12882, 324, 977, 338, 267, 5889, 799, 1118, 1063, 24713, 344, 16198, 2352, 952, 519, 1482, 3800, 616, 711, 1031, 267, 610, 789, 1445, 593, 28547, 4093, 267, 971, 607, 12882, 24119, 5962, 5889, 8957, 12882, 2254, 20158, 5889, 593, 519, 4493, 540, 3964, 524, 686, 268, 1768, 807, 267, 971, 607, 519, 32663, 268, 4353, 269, 634, 2360, 538, 2090, 14139, 971, 4093, 616, 1419, 24298, 538, 519, 1106, 540, 12918, 12753, 610, 1981, 12753, 267, 799, 666, 4268, 1063, 476, 271, 543, 476, 272, 630, 6577, 7627, 2942, 7681, 1070, 476, 272, 630, 7224, 7681, 1070, 610, 3152, 982, 476, 272, 630, 1729, 20581, 267, 3954, 7627, 2318, 7681, 1040, 634, 2450, 540, 971, 5223, 2861, 3800, 1223, 581, 14648, 267, 585, 1383, 267, 609, 2463, 547, 2318, 12205, 267, 607, 12882, 20791, 5889, 630, 24030, 518, 982, 476, 272, 269, 271, 547, 476, 272, 269, 276, 1070, 12882, 7116, 4733, 5889, 630, 272, 269, 276, 547, 476, 273, 269, 271, 1070, 610, 12882, 26171, 5889, 630, 273, 269, 271, 610, 3152, 1040, 1452, 1590, 581, 14648, 15891, 13124, 267, 2705, 267, 607, 741, 2450, 666, 581, 8200, 593, 519, 4336, 540, 519, 4830, 4756, 538, 2243, 269, 5047, 267, 519, 7664, 540, 519, 7306, 540, 2360, 1058, 849, 1491, 883, 7156, 1018, 814, 1044, 5892, 4767, 538, 519, 4143, 2361, 538, 1931, 547, 1683, 1697, 2796, 269, 14893, 540, 27010, 15510, 540, 5530, 543, 4706, 8177, 593, 4937, 714, 1464, 6271, 3390, 602, 666, 28148, 1860, 519, 4612, 1464, 540, 1382, 4681, 538, 713, 1858, 568, 519, 3668, 540, 2489, 714, 1464, 540, 519, 5439, 1031, 269, 901, 666, 1267, 267, 585, 1383, 267, 689, 513, 1353, 30232, 1373, 1759, 593, 513, 2551, 5219, 547, 2126, 610, 513, 2551, 540, 3237, 540, 1453, 609, 2027, 2115, 269, 1234, 268, 521, 6699, 689, 971, 2090, 5693, 3112, 581, 20902, 547, 519, 2551, 540, 3885, 693, 1981, 1317, 540, 519, 8795, 4162, 540, 1142, 2551, 269, 6271, 1259, 538, 799, 2489, 714, 1464, 666, 581, 4389, 568, 676, 519, 538, 30541, 550, 19231, 547, 513, 32299, 540, 519, 2551, 540, 1719, 267, 799, 666, 1267, 538, 2090, 609, 1507, 2338, 540, 5396, 269, 4937, 714, 1464, 568, 8476, 950, 4351, 10386, 568, 8045, 538, 513, 1374, 602, 5439, 689, 782, 1016, 25364, 540, 1719, 269, 6201, 540, 971, 2090, 666, 581, 1336, 538, 1082, 865, 268, 1572, 1950, 3732, 12220, 14102, 676, 519, 5313, 2229, 267, 971, 607, 519, 2817, 1290, 12643, 7190, 11752, 630, 5408, 5291, 2517, 4178, 269, 545, 1186, 337, 269, 636, 747, 12975, 270, 9573, 2464, 270, 1916, 4338, 24165, 21815, 9215, 19419, 292, 24086, 6730, 594, 4811, 12601, 3201, 308, 9569, 476, 4792, 15932, 1242, 9615, 543, 27800, 5525, 769, 13354, 6304, 2090, 267, 799, 5635, 513, 2016, 18060, 268, 512, 542, 4640, 547, 1776, 267, 519, 3668, 540, 4351, 1436, 547, 1353, 2516, 666, 28148, 1860, 519, 14496, 540, 519, 1353, 4681, 269, 2060, 4351, 1436, 8045, 609, 1804, 3732, 7306, 267, 835, 666, 7413, 519, 10171, 540, 519, 3765, 3430, 9084, 540, 2360, 547, 519, 6304, 602, 1223, 6382, 581, 608, 268, 726, 7134, 676, 824, 2188, 269, 769, 519, 1858, 540, 15366, 4965, 267, 519, 3448, 3668, 540, 19747, 2090, 666, 581, 6045, 676, 519, 7411, 540, 6388, 1317, 540, 5683, 2152, 267, 971, 607, 609, 3835, 532, 513, 5732, 2500, 1521, 268, 6497, 267, 610, 3621, 4145, 267, 971, 607, 9319, 12526, 540, 6304, 2516, 538, 8965, 2090, 269, 1717, 267, 19747, 4791, 8062, 2099, 519, 6099, 1374, 585, 10442, 519, 12117, 540, 7459, 547, 2061, 8801, 4093, 538, 1453, 540, 20158, 3237, 269, 12726, 12025, 543, 4706, 20480, 769, 2489, 267, 2090, 602, 1331, 1507, 2338, 540, 5396, 666, 3132, 4681, 602, 616, 2303, 633, 855, 798, 711, 1683, 2963, 602, 568, 19250, 1713, 269, 6270, 2090, 616, 1767, 547, 3668, 12882, 560, 520, 6750, 1379, 269, 5889, 769, 891, 2665, 267, 2164, 602, 616, 24802, 4143, 949, 3668, 8856, 543, 3976, 6015, 538, 741, 4612, 1464, 568, 4389, 269, 12824, 1419, 15378, 519, 10626, 540, 519, 3732, 2450, 540, 513, 1353, 676, 519, 2450, 540, 1198, 602, 621, 666, 30194, 3713, 609, 476, 3199, 2600, 8579, 1379, 543, 513, 1079, 21758, 13672, 630, 6943, 594, 5470, 2557, 264, 540, 476, 271, 269, 4962, 269, 901, 12882, 21653, 5889, 540, 1198, 568, 1419, 3067, 1881, 676, 519, 13387, 1198, 2450, 630, 10870, 1156, 267, 476, 2735, 279, 264, 538, 799, 606, 1198, 540, 476, 271, 269, 736, 568, 2808, 12882, 20791, 267, 5889, 476, 271, 269, 2004, 12882, 4364, 1756, 267, 5889, 543, 476, 271, 269, 3199, 12882, 26171, 269, 5889, 1677, 3035, 476, 3199, 2600, 1379, 267, 519, 476, 271, 269, 736, 1198, 2450, 3340, 5111, 476, 8517, 5396, 2949, 267, 476, 271, 269, 2004, 3340, 1237, 3495, 268, 544, 2299, 476, 6344, 267, 543, 476, 271, 269, 3199, 3340, 5111, 476, 2004, 269, 3245, 1776, 2070, 267, 835, 666, 6218, 1379, 585, 5697, 3732, 7306, 540, 1719, 267, 585, 1383, 267, 476, 1911, 267, 476, 5611, 267, 476, 1220, 267, 476, 4968, 267, 543, 476, 4335, 267, 519, 8545, 1079, 1373, 538, 519, 2039, 540, 1018, 1082, 1131, 2015, 1804, 269, 1452, 3732, 7306, 1131, 2154, 8766, 1198, 2450, 6606, 540, 476, 271, 269, 6872, 267, 476, 271, 269, 5379, 267, 476, 271, 269, 2412, 267, 476, 271, 269, 3451, 267, 543, 476, 271, 269, 1839, 269, 634, 7306, 540, 519, 5439, 6964, 538, 1382, 593, 519, 2360, 540, 15366, 4965, 723, 1419, 711, 1044, 1804, 267, 3976, 12145, 519, 8753, 602, 666, 581, 6537, 689, 519, 2164, 543, 18867, 7303, 519, 2186, 540, 1476, 328, 268, 7202, 7664, 540, 2164, 602, 568, 2838, 547, 1118, 3609, 2242, 269, 898, 568, 711, 9670, 602, 1804, 2360, 540, 1367, 1981, 610, 8825, 2188, 723, 711, 1044, 4767, 2016, 519, 7915, 6988, 540, 519, 2188, 693, 1404, 609, 2463, 547, 519, 2078, 540, 15366, 4965, 267, 15970, 267, 543, 1126, 632, 268, 476, 975, 618, 269, 13018, 538, 519, 2796, 540, 6304, 2090, 267, 519, 7411, 538, 18363, 519, 2789, 6198, 11444, 602, 5581, 713, 1966, 568, 10630, 538, 519, 4749, 4767, 1507, 20695, 6304, 2360, 269, 1306, 649, 454, 5780, 667, 7968, 305, 8577, 12778, 5442, 24315, 19006, 267, 24315, 2894, 16249, 267, 6730, 8863, 6579, 11403, 2894, 1397, 538, 17265, 519, 3332, 267, 1082, 3370, 2090, 723, 1152, 1044, 2111, 547, 3713, 1507, 2360, 607, 19250, 1713, 2016, 519, 7306, 540, 741, 5439, 269, 1656, 1804, 8397, 1382, 3785, 13615, 4481, 547, 23425, 543, 6388, 2994, 616, 2877, 547, 948, 18663, 2242, 538, 1135, 328, 268, 524, 625, 543, 1949, 269, 3117, 573, 3130, 540, 25792, 2405, 2747, 540, 12186, 6715, 13577, 3631, 540, 15366, 4965, 543, 922, 2360, 593, 15970, 543, 1126, 1646, 991, 547, 2015, 519, 1761, 25019, 540, 2360, 267, 799, 3180, 9153, 585, 7713, 875, 4965, 538, 3237, 814, 922, 2360, 593, 1453, 269, 18873, 540, 25019, 2154, 513, 811, 1950, 25107, 1935, 267, 971, 607, 2619, 2079, 267, 7293, 4834, 3631, 267, 610, 824, 21465, 7406, 268, 1568, 982, 3274, 14577, 856, 2360, 607, 23656, 919, 269, 634, 6514, 540, 2009, 25019, 2360, 568, 606, 1271, 3693, 538, 1620, 519, 5817, 6127, 585, 519, 2360, 540, 15366, 4965, 267, 543, 3976, 621, 814, 6286, 585, 519, 1374, 543, 6388, 540, 7459, 269, 15783, 2042, 8451, 267, 2705, 267, 950, 18657, 1049, 2360, 616, 12290, 538, 9003, 3444, 22891, 9382, 630, 290, 1961, 543, 7665, 6202, 267, 476, 1220, 274, 1040, 1284, 1397, 602, 1082, 2090, 540, 519, 2360, 540, 15366, 4965, 723, 711, 6964, 19976, 6272, 543, 3976, 723, 711, 5265, 1044, 2111, 547, 4983, 875, 922, 2360, 616, 25358, 998, 824, 2188, 267, 971, 607, 15970, 2853, 593, 1126, 4093, 269, 10495, 540, 6356, 5336, 617, 4328, 11790, 769, 1082, 2090, 538, 519, 1858, 540, 15366, 4965, 607, 513, 1981, 3815, 267, 15645, 2209, 540, 1198, 723, 711, 1044, 6027, 267, 971, 607, 4598, 547, 5208, 269, 1284, 1131, 2503, 602, 950, 519, 26424, 540, 2188, 2404, 609, 4965, 538, 513, 2385, 616, 6027, 267, 2360, 585, 519, 32299, 609, 2789, 1981, 2188, 267, 971, 607, 4965, 543, 5208, 4598, 267, 1223, 581, 3648, 2362, 982, 585, 1346, 945, 723, 4965, 543, 1100, 824, 2188, 269, 2859, 17618, 267, 513, 15645, 1807, 568, 4756, 602, 4679, 610, 11081, 519, 4222, 540, 7681, 1063, 1079, 824, 4756, 269, 2060, 519, 1198, 540, 4965, 538, 3237, 538, 741, 1453, 267, 649, 2808, 519, 6381, 896, 799, 519, 2360, 949, 581, 6793, 610, 21260, 267, 1519, 4162, 540, 519, 1244, 637, 268, 521, 542, 538, 519, 3237, 267, 4162, 540, 519, 1453, 267, 543, 865, 8521, 269, 6270, 10659, 540, 1981, 2188, 538, 5348, 1458, 630, 328, 4318, 1421, 3818, 2364, 894, 264, 949, 581, 1018, 2965, 1267, 538, 25013, 4093, 543, 711, 1367, 2360, 1566, 268, 2144, 908, 538, 513, 17033, 19605, 6752, 269, 6270, 22212, 2360, 949, 581, 1459, 1256, 538, 513, 19747, 4693, 269, 4014, 519, 4351, 1436, 6663, 547, 3666, 2066, 519, 2126, 610, 6304, 2516, 593, 782, 1761, 1476, 15929, 4632, 267, 3800, 610, 796, 1889, 25979, 267, 713, 1281, 711, 9004, 519, 4527, 540, 454, 4338, 24165, 21815, 9215, 19419, 292, 24086, 6730, 594, 4811, 12601, 3201, 308, 9569, 476, 6858, 1198, 14842, 269, 1280, 1383, 267, 952, 4008, 568, 606, 1198, 1110, 8595, 267, 621, 568, 1064, 268, 521, 1043, 602, 519, 6304, 1223, 960, 8335, 538, 4775, 3379, 609, 5256, 5396, 269, 21834, 568, 2693, 547, 1404, 513, 15645, 908, 1909, 538, 693, 2547, 835, 540, 1896, 2009, 3270, 630, 305, 13616, 267, 476, 1220, 278, 1040, 4935, 267, 711, 9301, 519, 1110, 5028, 268, 512, 542, 540, 2360, 949, 2061, 519, 13389, 585, 6304, 540, 1016, 25364, 540, 1346, 945, 616, 693, 3226, 2799, 1981, 269, 25833, 3631, 540, 2618, 31752, 11168, 519, 2956, 540, 19469, 1981, 610, 2789, 1981, 2188, 630, 305, 13616, 267, 476, 1220, 271, 282, 681, 13616, 1696, 620, 1421, 476, 1220, 272, 1040, 634, 2962, 540, 1981, 2188, 568, 19469, 538, 519, 2631, 602, 519, 4527, 540, 811, 1981, 2188, 568, 1644, 547, 513, 2362, 22979, 540, 2942, 4093, 630, 5353, 11717, 1696, 620, 1421, 476, 1960, 273, 1040, 595, 636, 11494, 3631, 2992, 519, 2067, 23656, 566, 540, 1082, 1981, 2188, 269, 1452, 3631, 8263, 602, 519, 1476, 26475, 540, 1082, 1981, 2188, 267, 2864, 982, 1022, 2582, 1981, 267, 568, 1018, 5012, 547, 14524, 269, 901, 568, 693, 2547, 14356, 6045, 676, 519, 2789, 1981, 2188, 11566, 519, 740, 777, 268, 512, 633, 19206, 540, 519, 11248, 269, 1280, 1383, 267, 621, 814, 1044, 3254, 602, 519, 9588, 540, 1198, 540, 1022, 835, 1920, 1981, 3815, 2404, 609, 2618, 657, 334, 268, 524, 658, 16369, 540, 6107, 568, 5266, 1507, 630, 3725, 573, 543, 17786, 320, 995, 2993, 267, 476, 1960, 271, 264, 543, 602, 606, 2333, 540, 16369, 7965, 4386, 609, 606, 2333, 538, 519, 1297, 540, 1981, 2188, 630, 20288, 8518, 267, 8262, 3258, 267, 543, 918, 582, 577, 1157, 267, 476, 1960, 279, 1040, 6356, 540, 20970, 18438, 543, 4033, 20970, 12983, 1323, 3390, 602, 814, 711, 1044, 9619, 538, 519, 7664, 540, 4681, 538, 713, 1858, 568, 519, 7411, 538, 7893, 4965, 543, 19591, 2589, 267, 4598, 547, 5208, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 476, 2735, 273, 267, 1208, 6081, 6385, 8719, 5892, 1031, 3662, 7378, 269, 9966, 6081, 729, 811, 3586, 538, 2298, 267, 1732, 7109, 730, 543, 6417, 519, 4006, 1543, 811, 3927, 543, 729, 3533, 9053, 547, 3662, 7378, 267, 4352, 621, 729, 7620, 811, 7199, 547, 3132, 563, 268, 4027, 1143, 3682, 339, 1254, 1143, 6257, 513, 2797, 18879, 609, 799, 519, 4346, 540, 513, 2197, 568, 547, 581, 13104, 539, 1996, 5007, 7506, 267, 538, 1880, 4914, 1163, 13024, 543, 15712, 269, 634, 7405, 540, 4027, 1143, 1331, 1104, 29388, 267, 4123, 24476, 267, 13170, 5773, 543, 824, 9993, 267, 607, 1134, 607, 9304, 12879, 543, 824, 1875, 2389, 541, 858, 4123, 7496, 563, 268, 27124, 543, 29746, 15945, 257, 303, 2794, 7146, 1673, 2794, 1870, 257, 568, 513, 1106, 540, 2883, 12611, 538, 799, 519, 2671, 3902, 540, 5892, 10464, 569, 9715, 7221, 630, 324, 3052, 269, 21888, 19728, 264, 568, 31567, 1102, 3836, 630, 335, 22981, 909, 264, 676, 7301, 267, 2318, 6898, 538, 1931, 547, 1287, 6133, 891, 7221, 693, 2362, 5777, 547, 6133, 1055, 536, 7431, 535, 728, 9520, 563, 268, 17747, 2780, 288, 7061, 2780, 568, 513, 16267, 4171, 1599, 568, 1759, 593, 519, 4031, 540, 7061, 11707, 269, 769, 4334, 547, 519, 8106, 2780, 267, 621, 1281, 711, 960, 593, 519, 4493, 540, 519, 4031, 540, 8106, 6323, 267, 855, 593, 519, 4493, 540, 7061, 7344, 2829, 563, 268, 17747, 1966, 1103, 2904, 476, 1001, 279, 267, 28234, 681, 1794, 543, 2997, 880, 599, 3370, 513, 1957, 10503, 513, 1966, 602, 1152, 7061, 5904, 666, 4194, 269, 901, 1966, 12851, 547, 519, 1362, 540, 645, 304, 303, 630, 321, 15903, 268, 19587, 7061, 9971, 942, 1040, 681, 5699, 267, 621, 568, 827, 18445, 2436, 1079, 4351, 9696, 666, 581, 4448, 547, 835, 1776, 676, 513, 22263, 7004, 269, 21231, 267, 602, 4992, 5266, 24631, 267, 855, 713, 1826, 540, 5070, 7901, 1966, 568, 6093, 538, 519, 1646, 540, 971, 1007, 4066, 563, 268, 17747, 20014, 288, 7061, 20014, 568, 513, 1463, 1689, 540, 606, 6475, 1369, 606, 11046, 610, 11140, 689, 835, 1648, 1533, 547, 1776, 269, 1452, 1648, 2829, 616, 15768, 538, 645, 2129, 337, 781, 10570, 2203, 267, 1775, 4318, 269, 972, 616, 1100, 13591, 2157, 269, 634, 2856, 540, 513, 15768, 8953, 609, 799, 606, 6475, 25057, 606, 10570, 13540, 568, 1631, 2808, 4636, 20193, 568, 6065, 1540, 2221, 2436, 972, 2965, 616, 7061, 682, 2355, 543, 2436, 789, 616, 711, 1175, 606, 1198, 540, 7061, 7344, 6482, 3157, 269, 769, 519, 1483, 1158, 267, 519, 2165, 968, 31642, 636, 20014, 892, 910, 7429, 538, 1612, 28917, 910, 568, 2965, 1454, 6251, 547, 922, 2168, 7664, 269, 968, 23797, 636, 682, 2355, 892, 949, 2408, 547, 721, 547, 581, 26688, 267, 607, 12825, 3157, 1689, 689, 519, 630, 11357, 264, 5276, 5123, 547, 606, 12825, 3350, 12462, 339, 6235, 1448, 26158, 1280, 1004, 945, 616, 711, 968, 9188, 11220, 892, 585, 519, 8226, 540, 12825, 3157, 267, 713, 4090, 666, 2408, 607, 513, 13737, 7914, 1510, 13591, 13515, 269, 901, 1797, 602, 519, 4605, 1063, 519, 10409, 7061, 20014, 543, 6323, 568, 2953, 1586, 910, 23344, 8335, 982, 16022, 569, 10924, 563, 268, 26592, 1574, 532, 23797, 5511, 1574, 532, 9497, 304, 9950, 1701, 264, 568, 513, 2027, 1106, 540, 13075, 3609, 602, 814, 1044, 13736, 676, 1585, 3844, 8492, 2094, 519, 1390, 2883, 6433, 689, 476, 1220, 279, 27477, 269, 2311, 519, 1627, 9950, 269, 589, 3844, 4871, 1207, 903, 1804, 5666, 540, 19736, 593, 519, 2883, 2344, 538, 1931, 547, 2333, 28880, 543, 519, 3761, 540, 2724, 538, 519, 2344, 543, 693, 519, 1482, 942, 547, 2539, 2344, 1719, 3928, 269, 634, 1184, 540, 519, 1627, 9950, 269, 5781, 5012, 547, 513, 1713, 10637, 540, 519, 3844, 4871, 3666, 9212, 269, 4595, 519, 7222, 16306, 616, 14102, 609, 1065, 11781, 539, 3844, 4871, 2724, 267, 1627, 9950, 269, 606, 1271, 2460, 540, 519, 834, 3000, 8767, 8920, 1081, 8487, 268, 4676, 3175, 8269, 3175, 2356, 6257, 519, 6098, 2883, 610, 13075, 834, 516, 5115, 1388, 1436, 257, 540, 606, 4346, 12219, 676, 1219, 3175, 776, 4229, 269, 634, 6293, 540, 971, 1201, 3175, 568, 2356, 519, 2404, 3844, 4871, 267, 799, 20555, 1007, 2724, 883, 519, 2804, 1062, 998, 3742, 2724, 5137, 563, 268, 3204, 24728, 8802, 24728, 2533, 5512, 519, 22231, 543, 3432, 2838, 547, 7561, 2936, 519, 6360, 540, 1007, 6042, 543, 946, 13387, 4485, 547, 1491, 519, 25727, 540, 1114, 2010, 540, 1239, 883, 2272, 269, 30404, 4066, 971, 607, 2462, 1239, 543, 1239, 14839, 2553, 607, 1134, 607, 2679, 7161, 540, 5841, 4987, 616, 1031, 563, 268, 681, 728, 327, 9430, 305, 728, 327, 9430, 568, 1419, 4330, 607, 513, 2413, 4244, 547, 3454, 529, 269, 2060, 891, 2533, 630, 6202, 8153, 1806, 616, 772, 828, 543, 10370, 1111, 264, 513, 1286, 609, 513, 9920, 568, 16761, 3842, 606, 813, 267, 799, 3560, 338, 1004, 585, 513, 13927, 563, 268, 11485, 3474, 640, 13979, 32391, 26027, 630, 528, 1981, 14167, 26027, 264, 568, 606, 1935, 547, 5883, 5092, 2823, 31987, 602, 6212, 593, 782, 20814, 1981, 267, 609, 1142, 10697, 7700, 8449, 547, 519, 14769, 781, 2949, 1981, 563, 268, 17562, 21659, 18352, 4016, 547, 7344, 2035, 585, 22151, 2241, 2238, 538, 2504, 267, 3560, 610, 7829, 547, 14013, 27358, 6191, 630, 13681, 1824, 1040, 769, 519, 2104, 267, 17562, 786, 849, 2709, 3810, 2919, 6639, 3435, 602, 5512, 1256, 1950, 4205, 910, 971, 607, 12391, 585, 519, 11361, 269, 29790, 568, 4061, 2047, 1644, 547, 3584, 971, 607, 2029, 543, 7857, 1436, 267, 855, 849, 547, 2486, 543, 1629, 2762, 563, 268, 1530, 4788, 24715, 566, 763, 2165, 834, 572, 4788, 24715, 566, 257, 4422, 1394, 547, 519, 2475, 30168, 1325, 9109, 17713, 523, 269, 769, 476, 4350, 279, 267, 896, 519, 12705, 540, 519, 4279, 12870, 540, 519, 476, 4350, 271, 338, 267, 17713, 523, 4330, 513, 1533, 540, 13455, 4617, 2804, 2208, 609, 513, 1970, 4412, 3748, 547, 1902, 593, 519, 851, 540, 3549, 543, 9991, 4747, 585, 519, 2551, 269, 634, 1699, 5123, 540, 10770, 6526, 1006, 543, 4617, 2208, 1739, 519, 1390, 2883, 6433, 689, 476, 1220, 279, 568, 6353, 676, 930, 5640, 607, 834, 572, 4788, 24715, 566, 8487, 268, 9045, 25493, 1103, 8956, 540, 519, 1292, 23266, 9045, 25493, 26981, 600, 9369, 267, 9045, 25493, 568, 519, 2012, 540, 519, 4867, 10545, 11670, 1770, 267, 12077, 513, 476, 1911, 2929, 628, 11670, 269, 898, 568, 1869, 7164, 2221, 799, 1268, 610, 1895, 540, 1004, 568, 3297, 519, 15554, 7716, 9045, 25493, 26981, 600, 9369, 563, 268, 590, 289, 7034, 630, 306, 30371, 793, 20607, 5174, 17977, 1530, 15247, 264, 306, 289, 7034, 9497, 306, 30371, 793, 20607, 5174, 17977, 1530, 15247, 8442, 4766, 513, 1523, 540, 519, 9167, 585, 519, 15985, 1782, 543, 694, 2017, 527, 1436, 540, 4540, 2229, 7554, 540, 519, 16402, 29773, 269, 634, 2832, 568, 547, 1711, 513, 10991, 3864, 968, 338, 12522, 10697, 892, 998, 3617, 968, 339, 3757, 4221, 9731, 268, 19457, 4346, 763, 4687, 4346, 568, 519, 2165, 1031, 547, 4766, 519, 3209, 25349, 7613, 2687, 547, 799, 7820, 1004, 538, 1880, 1152, 1616, 1978, 7082, 5370, 547, 581, 1031, 267, 855, 711, 741, 15896, 610, 3959, 269, 901, 6240, 568, 2907, 10423, 2221, 538, 1585, 2127, 267, 971, 607, 8027, 267, 10688, 267, 3301, 543, 2792, 563, 268, 1772, 972, 513, 22315, 6697, 585, 700, 8577, 454, 268, 6732, 11647, 568, 14463, 454, 268, 1548, 616, 519, 7687, 540, 9523, 11592, 476, 1001, 277, 454, 268, 1215, 798, 594, 1205, 18046, 585, 18810, 454, 268, 3657, 972, 811, 982, 476, 274, 8901, 7516, 454, 268, 1879, 1705, 15922, 7814, 2158, 2049, 538, 3127, 454, 268, 13201, 972, 2479, 1044, 513, 3673, 626, 31390, 604, 626, 454, 268, 1548, 4523, 538, 519, 2680, 540, 513, 31761, 454, 268, 1548, 2450, 1899, 585, 476, 277, 476, 274, 15791, 454, 268, 2052, 596, 30834, 728, 543, 875, 1134, 454, 268, 4208, 568, 1250, 2634, 2141, 936, 10940, 454, 268, 1772, 621, 10363, 547, 1786, 342, 14420, 585, 2123, 946, 888, 268, 1215, 616, 519, 715, 2975, 300, 2752, 3619, 320, 28941, 9255, 906, 454, 268, 3657, 10648, 11675, 519, 2104, 540, 6683, 454, 268, 1215, 1705, 707, 2063, 1870, 3111, 888, 268, 1215, 666, 594, 4368, 1250, 18151, 804, 777, 454, 268, 1548, 781, 1434, 538, 667, 4861, 643, 2993, 454, 268, 4024, 1250, 20169, 581, 606, 1977, 12504, 454, 268, 1548, 1500, 707, 1554, 865, 2027, 454, 268, 1772, 519, 4670, 16629, 629, 331, 4545, 320, 13840, 2953, 888, 268, 1215, 729, 24354, 2451, 899, 602, 454, 268, 1215, 1705, 519, 2262, 19619, 2097, 827, 888, 268, 4208, 616, 10764, 15685, 689, 5013, 454, 268, 1215, 568, 519, 8398, 21288, 543, 23066, 3965, 1114, 286, 0, 288, 3126, 540, 4930, 2854, 585, 519, 31248, 543, 13875, 563, 347, 8448, 10643, 1475, 10908, 12786, 543, 13875, 2008, 347, 9448, 4147, 5874, 1475, 8461, 9032, 272, 271, 595, 2420, 590, 4792, 2008, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 736, 2008, 293, 8803, 781, 589, 715, 9569, 10396, 654, 4047, 30600, 786, 6961, 606, 1271, 1840, 547, 519, 3332, 593, 2022, 8705, 3013, 543, 606, 8449, 1271, 1840, 547, 938, 1620, 540, 519, 1286, 2528, 1701, 834, 296, 6415, 6126, 547, 1867, 602, 594, 899, 1010, 1433, 1360, 1454, 269, 23340, 781, 960, 568, 9488, 267, 2407, 540, 1315, 276, 263, 1015, 1040, 589, 13780, 593, 5453, 1564, 22252, 1049, 630, 12061, 12279, 1070, 1913, 267, 5426, 623, 630, 22706, 476, 273, 1070, 22858, 850, 700, 1703, 616, 936, 2929, 6517, 543, 18114, 1175, 538, 519, 2136, 2276, 269, 634, 18914, 1185, 5828, 3013, 883, 513, 968, 31766, 593, 14743, 1848, 2311, 606, 5993, 10554, 540, 519, 30482, 31055, 5948, 540, 3013, 538, 2073, 835, 3915, 4580, 11346, 6353, 519, 2242, 269, 968, 10144, 723, 1831, 9308, 543, 15508, 1964, 1652, 2223, 646, 2433, 21965, 717, 644, 529, 269, 5192, 713, 689, 513, 5399, 256, 13780, 593, 14743, 281, 519, 18914, 2528, 538, 3013, 2094, 1496, 15812, 590, 23340, 316, 4534, 11929, 1149, 519, 1764, 540, 519, 18914, 593, 1977, 2486, 2094, 519, 1439, 540, 2622, 2782, 5565, 538, 519, 2127, 540, 2527, 18302, 267, 1646, 540, 519, 2136, 16790, 20709, 267, 4473, 540, 1016, 7875, 807, 267, 10081, 17040, 267, 543, 519, 563, 1607, 5618, 1257, 12116, 519, 3844, 1909, 540, 519, 18914, 538, 1977, 1272, 538, 519, 3735, 14206, 10601, 269, 16522, 1127, 1944, 543, 7234, 519, 1034, 16367, 1395, 21106, 2854, 827, 519, 18914, 267, 4460, 23340, 2488, 1053, 609, 606, 24084, 2287, 1686, 540, 835, 540, 3013, 781, 1034, 25992, 7418, 547, 4853, 1242, 2486, 269, 6744, 856, 13780, 593, 5453, 1564, 630, 5804, 4658, 332, 1478, 264, 676, 6723, 5696, 12584, 593, 8835, 8535, 269, 20837, 740, 6954, 610, 6718, 7131, 781, 543, 12463, 274, 338, 1631, 593, 4460, 590, 269, 23340, 779, 1433, 267, 968, 288, 13780, 593, 5453, 1564, 281, 634, 14825, 9394, 9177, 538, 3013, 4595, 2073, 892, 2488, 606, 16367, 2565, 2689, 540, 519, 18914, 779, 9058, 543, 1950, 954, 30447, 1222, 609, 12303, 1169, 2460, 540, 1977, 2486, 543, 1272, 269, 23340, 5956, 1010, 1650, 1141, 646, 24903, 1058, 267, 1310, 2622, 2782, 4083, 269, 589, 13780, 593, 5453, 1564, 281, 634, 14825, 9394, 9177, 538, 3013, 2094, 676, 4460, 590, 269, 23340, 630, 267, 11780, 28980, 1916, 288, 13780, 593, 5453, 1564, 281, 634, 14825, 9394, 9177, 538, 3013, 4595, 676, 4460, 590, 23340, 2142, 519, 1101, 547, 2689, 713, 6221, 901, 5618, 1257, 12116, 519, 3844, 1909, 540, 519, 18914, 538, 1977, 1272, 538, 519, 3735, 14206, 10601, 269, 9768, 281, 32726, 9448, 7089, 281, 11872, 281, 22291, 4994, 269, 13517, 281, 3817, 281, 12383, 630, 16341, 2681, 264, 6902, 476, 4029, 4699, 269, 6519, 3047, 13780, 13788, 1876, 11268, 11650, 609, 2142, 14982, 6019, 267, 10067, 333, 1580, 6019, 267, 543, 13068, 4248, 6019, 5455, 5765, 570, 4488, 20821, 902, 281, 5680, 14373, 32310, 269, 681, 6195, 27334, 2464, 20907, 22375, 8235, 20769, 13335, 1763, 3832, 7191, 18564, 269, 631, 6311, 20051, 3502, 1182, 269, 5453, 1564, 909, 4182, 269, 15055, 476, 273, 6158, 827, 713, 269, 3040, 8749, 17040, 2923, 3040, 24168, 3918, 2707, 585, 3388, 543, 4376, 8749, 17040, 256, 0, 16240, 585, 16340 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 513, 1507, 8498, 31314, 1063, 1079, 12902, 15113, 5030, 1079, 1655, 2828, 267, 3057, 1723, 543, 1924, 325, 807, 269, 1358, 6068, 3695, 543, 1565, 1007, 1919, 1927, 269, 2290, 1554, 789, 1336, 513, 12357, 4063, 2854, 538, 513, 1893, 789, 1185, 2760, 2938, 1354, 269, 898, 1224, 267, 968, 383, 486, 24924, 2022, 334, 798, 557, 2820, 550, 622, 642, 16211, 588, 612, 328, 3010, 11321, 1723, 1767, 267, 834, 296, 1589, 621, 781, 7969, 256, 594, 4121, 930, 7969, 2453, 1282, 938, 2063, 1920, 16314, 269, 2913, 803, 4137, 856, 1018, 621, 1797, 10590, 2991, 11432, 1359, 585, 513, 1247, 267, 646, 4797, 267, 834, 2005, 3081, 267, 1412, 296, 331, 2022, 334, 262, 1797, 1412, 1492, 1747, 10086, 1412, 323, 913, 262, 1797, 1412, 3602, 10086, 1412, 15965, 550, 622, 262, 1797, 1412, 13069, 727, 10086, 543, 1412, 341, 16211, 588, 612, 328, 262, 1797, 1412, 20365, 1345, 9538, 1924, 267, 519, 4845, 18922, 547, 1412, 1492, 1747, 1141, 596, 1831, 3054, 9538, 5016, 2750, 322, 1243, 676, 741, 6602, 267, 789, 4956, 547, 7832, 593, 513, 3460, 547, 1265, 713, 28430, 4087, 269, 1306, 789, 5887, 3293, 4514, 883, 519, 4104, 267, 789, 16686, 2390, 513, 695, 20810, 532, 10720, 10452, 922, 10450, 9985, 269, 589, 8054, 30638, 267, 1924, 325, 807, 26866, 1229, 267, 834, 1607, 1590, 581, 519, 1747, 649, 941, 5921, 547, 1265, 910, 519, 1747, 1141, 649, 666, 5963, 1831, 6000, 3010, 5445, 6170, 3108, 11287, 875, 1216, 20256, 4646, 678, 31454, 1472, 6263, 890, 6277, 956, 16207, 883, 519, 1216, 269, 901, 1500, 873, 8049, 827, 6329, 267, 799, 18056, 873, 540, 741, 1378, 3527, 4929, 6547, 538, 519, 1158, 269, 3057, 1723, 6045, 267, 834, 9617, 899, 950, 649, 12235, 513, 6149, 267, 1169, 2962, 814, 513, 5114, 269, 2334, 781, 1572, 13053, 781, 3791, 1876, 540, 5163, 538, 2257, 15323, 2026, 789, 2893, 1524, 2282, 519, 10720, 267, 14719, 908, 519, 2495, 3297, 519, 8360, 267, 1945, 6397, 5949, 269, 22582, 267, 519, 2842, 13603, 909, 267, 28817, 519, 9350, 7297, 3423, 1836, 267, 13321, 519, 22471, 559, 29278, 1354, 873, 269, 634, 12560, 10093, 5828, 31341, 6681, 267, 8272, 337, 1681, 519, 20437, 2470, 540, 4742, 2933, 780, 4415, 2647, 4064, 267, 1924, 325, 807, 7691, 16965, 267, 834, 28646, 4466, 13951, 3884, 1405, 2141, 827, 9363, 538, 835, 3501, 5544, 282, 3079, 267, 621, 1522, 849, 1611, 8508, 2242, 267, 1256, 950, 789, 2097, 10393, 267, 1175, 899, 891, 12798, 27200, 938, 2899, 32668, 10720, 1701, 1656, 865, 267, 1312, 2828, 2451, 519, 25386, 10720, 8876, 513, 7096, 5048, 827, 1582, 22523, 267, 30840, 267, 543, 519, 2479, 19145, 6384, 540, 1272, 543, 2257, 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, 19547, 9229, 27491, 281, 1411, 616, 2016, 513, 4845, 538, 7969, 269, 2659, 2816, 568, 547, 14377, 519, 7969, 4845, 883, 9929, 3150, 563, 19370, 281, 383, 486, 24924, 2022, 334, 798, 557, 2820, 550, 622, 642, 16211, 588, 612, 328, 563, 11405, 912, 32723, 522, 561, 13610, 593, 1372, 694, 14324, 600, 4938, 17845, 338, 8544, 21573, 780, 3721, 476, 272, 281, 10576, 519, 1641, 267, 8231, 267, 543, 3615, 538, 519, 7969, 4845, 454, 20428, 281, 24924, 2022, 334, 630, 1492, 1747, 994, 309, 8538, 281, 2820, 550, 622, 630, 13069, 727, 994, 30606, 281, 642, 16211, 588, 612, 328, 630, 9767, 16921, 267, 707, 2383, 2020, 3721, 476, 273, 281, 3690, 17218, 519, 1913, 689, 7969, 547, 14082, 1384, 268, 24924, 2022, 334, 630, 1492, 1747, 264, 9890, 522, 561, 13610, 454, 268, 798, 557, 630, 3602, 264, 9890, 593, 1372, 454, 268, 2820, 550, 622, 630, 13069, 727, 264, 9890, 694, 14324, 600, 454, 268, 642, 16211, 588, 612, 328, 630, 9767, 16921, 267, 707, 2383, 264, 9890, 4938, 17845, 338, 8544, 21573, 692, 3721, 476, 274, 281, 20472, 519, 12261, 4845, 538, 14082, 1739, 519, 1482, 8239, 2497, 607, 538, 7969, 912, 32723, 522, 561, 13610, 593, 1372, 694, 14324, 600, 4938, 17845, 338, 8544, 21573, 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, 3848, 476, 1626, 281, 4197, 4347, 14212, 910, 8644, 601, 543, 590, 1633, 518, 692, 5331, 596, 723, 1044, 2324, 2182, 593, 513, 2257, 1788, 585, 3275, 267, 543, 6368, 267, 1310, 1082, 3735, 17334, 543, 6901, 267, 596, 616, 4712, 547, 1459, 707, 4681, 693, 519, 1153, 4023, 269, 1411, 616, 9599, 543, 10583, 540, 1018, 596, 723, 12913, 256, 1809, 1287, 267, 2576, 6238, 10825, 7301, 32422, 602, 596, 1750, 730, 543, 588, 1961, 824, 1004, 781, 960, 585, 707, 1788, 269, 1306, 513, 1267, 267, 1100, 835, 6499, 547, 3643, 707, 1630, 1054, 267, 543, 596, 1810, 1405, 4309, 1022, 17758, 1256, 1498, 707, 1788, 729, 22992, 11141, 269, 901, 3510, 14550, 875, 14124, 7301, 6898, 827, 2576, 666, 581, 1107, 713, 1523, 568, 1572, 834, 3698, 14212, 6231, 9377, 14212, 2501, 538, 1079, 3029, 281, 5391, 601, 543, 521, 1633, 518, 269, 5637, 4125, 1818, 2150, 4902, 6898, 827, 1866, 602, 2800, 741, 10639, 269, 1717, 267, 972, 616, 3604, 1063, 873, 1759, 593, 519, 1505, 540, 2792, 269, 2913, 781, 2263, 891, 2035, 2417, 998, 11541, 7653, 1384, 9928, 523, 9222, 589, 281, 8644, 601, 454, 22428, 596, 3323, 513, 575, 1601, 760, 6241, 585, 707, 1153, 11356, 267, 1141, 596, 2328, 2984, 827, 3610, 543, 8284, 1053, 269, 2290, 1554, 267, 596, 15476, 606, 2376, 934, 6748, 6004, 269, 16399, 267, 707, 1686, 4116, 267, 540, 27560, 2724, 689, 519, 2875, 14643, 2508, 269, 3509, 1053, 1224, 519, 1650, 267, 1831, 14220, 267, 543, 3747, 2962, 1996, 1864, 269, 10251, 267, 707, 14336, 566, 7140, 856, 547, 581, 1666, 6804, 282, 6004, 269, 16399, 1705, 711, 1491, 519, 2724, 269, 2659, 15032, 3247, 3972, 532, 596, 1317, 789, 1589, 596, 3262, 6013, 269, 1635, 13629, 1346, 5739, 1913, 538, 1820, 630, 528, 2228, 1070, 596, 8149, 22244, 289, 5085, 780, 299, 756, 601, 4016, 547, 2854, 610, 3370, 7301, 6898, 602, 2014, 3441, 547, 2576, 781, 10639, 269, 4495, 1945, 568, 9102, 610, 11540, 2228, 267, 621, 3788, 2139, 585, 811, 1004, 547, 1294, 267, 2810, 1761, 2800, 269, 2334, 781, 1946, 5391, 601, 2665, 1419, 1291, 547, 4031, 7057, 5275, 13180, 585, 8697, 8088, 725, 780, 9928, 523, 9222, 645, 281, 590, 1633, 518, 454, 3086, 4952, 1373, 851, 540, 707, 1153, 781, 13007, 1397, 12233, 269, 4438, 12899, 5503, 5717, 267, 596, 2995, 707, 2828, 602, 1776, 4759, 267, 16092, 267, 26453, 582, 3042, 2063, 1032, 781, 2680, 676, 15720, 3937, 865, 18864, 1223, 1265, 621, 269, 4634, 8338, 267, 596, 3409, 602, 16092, 1869, 814, 930, 21687, 3688, 269, 17652, 2614, 267, 3025, 11099, 16092, 3112, 581, 11967, 269, 16828, 267, 2705, 267, 621, 3587, 2312, 602, 16092, 4769, 1405, 798, 4376, 4636, 32503, 941, 1175, 3843, 547, 16297, 3007, 689, 707, 1378, 9073, 1282, 519, 3105, 13007, 1397, 269, 744, 3591, 2439, 20784, 13263, 2207, 3322, 9275, 7301, 3125, 338, 4929, 2800, 547, 2576, 781, 1915, 610, 7555, 269, 4595, 11913, 8292, 949, 3914, 7864, 1004, 982, 2854, 3283, 267, 521, 1633, 518, 2356, 3340, 16190, 30997, 3527, 1354, 1713, 3441, 4386, 780, 1103, 1312, 2665, 267, 952, 519, 25197, 725, 941, 3020, 267, 789, 9327, 1405, 20618, 607, 1219, 14212, 2094, 5168, 568, 2141, 513, 4570, 8878, 269, 898, 781, 1898, 547, 2327, 938, 6811, 616, 4977, 1354, 4687, 873, 609, 1866, 269, 5457, 267, 7301, 569, 22215, 2576, 3116, 781, 10639, 666, 723, 4049, 4539, 585, 782, 6105, 3238, 780, 4131, 781, 2015, 513, 1483, 8996, 1383, 5473, 1857, 5515, 899, 5925, 14747, 610, 14761, 269, 1452, 2043, 1522, 647, 324, 585, 1219, 14212, 952, 2576, 2306, 7301, 6811, 827, 873, 703, 2056, 547, 25010, 741, 11678, 610, 3310, 12836, 11874, 269, 1358, 1590, 6961, 4731, 823, 1107, 6616, 519, 3948, 568, 7301, 855, 6031, 621, 19037, 547, 10413, 519, 1268, 269, 5689, 5534, 8247, 12651, 519, 30367, 3379, 547, 2834, 5391, 601, 610, 521, 1633, 518, 3871, 780, 2026, 2104, 4961, 267, 1620, 1219, 14212, 786, 948, 721, 6330, 1950, 1514, 6384, 19100, 269, 11408, 11441, 547, 5968, 25473, 543, 24963, 267, 9319, 11991, 2800, 547, 1866, 269, 1656, 3314, 267, 950, 5185, 609, 5732, 1219, 600, 2218, 1344, 267, 1249, 27902, 1101, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20694, 13643, 1767, 646, 17188, 1010, 7385, 1269, 1428, 267, 1822, 513, 3923, 607, 851, 540, 513, 840, 333, 1575, 1247, 9995, 344, 670, 809, 3885, 6560, 547, 2445, 689, 741, 1219, 14212, 9290, 454, 20694, 13643, 781, 2123, 9276, 538, 5147, 2698, 539, 1269, 11152, 267, 1822, 267, 799, 2882, 3592, 1269, 279, 267, 1822, 585, 2777, 15209, 267, 607, 9995, 344, 670, 809, 3885, 6560, 547, 2445, 741, 1269, 272, 269, 276, 5479, 538, 1219, 14212, 14796, 563, 20694, 13643, 4951, 909, 547, 513, 15264, 609, 513, 11702, 3068, 267, 1767, 646, 1159, 14414, 1010, 9224, 883, 513, 3774, 593, 519, 1259, 538, 454, 257, 2252, 621, 6926, 2644, 267, 621, 5012, 267, 21031, 543, 9543, 5443, 2437, 1767, 519, 27084, 310, 1513, 3984, 593, 519, 15264, 267, 1247, 30230, 4771, 1010, 9224, 609, 513, 26481, 5160, 563, 20694, 13643, 6836, 547, 22321, 15608, 15541, 534, 547, 1577, 12448, 570, 622, 593, 1412, 763, 15608, 15541, 534, 15232, 10086, 3540, 2924, 3919, 3081, 454, 19285, 6415, 1259, 936, 1433, 539, 1318, 1631, 2437, 15541, 534, 1257, 539, 13643, 538, 3210, 267, 2687, 547, 519, 8828, 24770, 4521, 4741, 563, 20694, 13643, 262, 15818, 1175, 1185, 1010, 12689, 17735, 585, 16089, 9995, 344, 670, 809, 5638, 269, 3571, 623, 9613, 15196, 7817, 781, 6822, 819, 4693, 10741, 1985, 3018, 563, 32207, 623, 3430, 529, 267, 513, 15818, 945, 29846, 5981, 13643, 267, 666, 585, 1631, 521, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17138, 281, 10020, 2452, 513, 1546, 518, 692, 7072, 912, 305, 1961, 2452, 532, 513, 13650, 666, 581, 606, 11791, 543, 3872, 1995, 269, 898, 2636, 596, 547, 23365, 3054, 538, 2470, 267, 1174, 13650, 2623, 267, 543, 2087, 707, 9117, 610, 9423, 1983, 269, 901, 5850, 786, 3391, 596, 998, 519, 1184, 1900, 676, 1900, 267, 3246, 538, 3829, 3137, 267, 1883, 4388, 267, 543, 4808, 269, 5457, 602, 1909, 2452, 532, 568, 827, 18220, 532, 519, 6891, 540, 519, 13442, 2864, 982, 3501, 32649, 269, 8528, 3721, 476, 272, 281, 3194, 1546, 518, 10263, 543, 22845, 454, 6524, 4358, 267, 1451, 607, 1454, 607, 2009, 827, 3043, 26904, 13650, 267, 799, 616, 1455, 2429, 3345, 3013, 269, 5530, 741, 2168, 4162, 267, 6208, 267, 1514, 3889, 267, 2792, 2409, 267, 543, 6114, 547, 1585, 15128, 269, 15750, 2572, 899, 2817, 22127, 1683, 3407, 1344, 269, 4197, 891, 3344, 786, 948, 1711, 513, 811, 8076, 24575, 780, 7659, 17785, 281, 10312, 593, 1875, 31646, 10291, 971, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2702, 547, 6330, 1950, 14375, 6384, 780, 1103, 3932, 267, 2228, 3106, 543, 3059, 15114, 616, 1898, 3334, 540, 1022, 2413, 2069, 269, 1635, 3695, 1883, 2035, 899, 30378, 267, 7834, 267, 3961, 2359, 267, 543, 5683, 2623, 267, 649, 4126, 547, 7668, 1762, 1004, 547, 946, 2029, 19100, 543, 31719, 269, 3414, 7722, 543, 7317, 6044, 267, 649, 666, 8300, 1053, 547, 1589, 9691, 827, 519, 1764, 540, 741, 3527, 2228, 543, 11349, 513, 5108, 540, 17519, 267, 5483, 3059, 4961, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4407, 1082, 540, 596, 945, 1265, 707, 2383, 1934, 949, 2907, 1044, 538, 519, 8520, 593, 713, 267, 594, 4941, 547, 1491, 519, 4316, 547, 16436, 3988, 945, 949, 711, 581, 2943, 547, 7119, 267, 561, 24642, 267, 610, 1449, 519, 3059, 7297, 540, 606, 1930, 2228, 1565, 1995, 1373, 6035, 676, 930, 540, 1250, 4950, 9164, 538, 519, 1007, 1032, 269, 22176, 322, 21676, 4592, 568, 513, 7548, 540, 12409, 5303, 543, 9012, 693, 519, 2160, 540, 3204, 2088, 267, 543, 835, 540, 519, 23806, 538, 12419, 2228, 543, 20762, 6030, 538, 606, 1930, 2228, 3898, 269, 1261, 543, 519, 824, 1576, 4863, 2209, 13822, 513, 2357, 3386, 26424, 540, 3872, 3048, 2209, 543, 616, 15691, 547, 3142, 741, 3838, 6791, 547, 519, 1795, 10949, 540, 606, 2228, 1565, 2146, 15597, 593, 519, 1930, 1357, 267, 1863, 540, 5279, 563, 5804, 22176, 322, 779, 1576, 27592, 912, 13914, 540, 1948, 564, 15879, 665, 607, 606, 1995, 13883, 12341, 1063, 513, 1576, 543, 513, 2146, 269, 2755, 972, 786, 581, 16516, 1357, 21577, 543, 1344, 3838, 1142, 3018, 267, 649, 917, 602, 972, 568, 513, 2603, 811, 602, 649, 786, 15217, 991, 547, 798, 952, 649, 1616, 512, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 4317, 11762, 1315, 20390, 12412, 1315, 6732, 8881, 543, 7913, 22893, 1222, 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, 8466, 2725, 15939, 1234, 19960, 514, 902, 538, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 692, 5970, 596, 2479, 16545, 9649, 11608, 8165, 12473, 12959, 2429, 1686, 286, 1548, 952, 649, 1223, 1491, 3140, 2621, 543, 556, 574, 2602, 873, 1210, 803, 577, 338, 267, 519, 5458, 1480, 1355, 11608, 1419, 1336, 538, 5545, 30682, 267, 30841, 267, 543, 14676, 286, 901, 1523, 1522, 3280, 2484, 856, 267, 855, 621, 781, 2965, 513, 4241, 24848, 516, 1369, 14676, 543, 8642, 9089, 256, 2913, 781, 4685, 883, 519, 1158, 540, 834, 7290, 5566, 803, 15939, 556, 19960, 514, 902, 3010, 1262, 1432, 568, 513, 2725, 15939, 15140, 300, 3663, 320, 630, 26211, 585, 7344, 264, 4016, 547, 1804, 1480, 1355, 11608, 3335, 12286, 538, 2257, 5708, 267, 3226, 2442, 538, 3567, 269, 1452, 6191, 616, 6417, 676, 3425, 267, 2356, 998, 15483, 335, 1080, 4092, 1369, 519, 8773, 3294, 269, 6056, 540, 9413, 971, 607, 7414, 681, 574, 610, 27977, 899, 5292, 339, 1258, 1107, 1346, 616, 1390, 1806, 540, 803, 577, 553, 256, 3767, 4952, 891, 3532, 2112, 6191, 17729, 1282, 11358, 8090, 538, 938, 2250, 282, 875, 1131, 4583, 3140, 7526, 11200, 8335, 2496, 1262, 1692, 6496, 3778, 3955, 13512, 710, 609, 2725, 577, 553, 15140, 3412, 698, 1456, 1483, 3734, 3140, 2621, 609, 803, 577, 553, 8591, 606, 3693, 540, 10761, 1247, 8716, 7279, 827, 519, 4890, 2250, 269, 1280, 3236, 267, 1589, 827, 2622, 2782, 4083, 269, 5502, 540, 2757, 13688, 543, 8484, 267, 19424, 11999, 803, 577, 553, 32626, 1142, 824, 2066, 1585, 4395, 6050, 269, 1215, 1281, 713, 7369, 938, 1620, 540, 4108, 4640, 610, 6639, 7760, 1282, 602, 942, 1974, 286, 1635, 3695, 14595, 12583, 29689, 609, 803, 15939, 2609, 267, 3988, 2744, 1007, 5380, 593, 5432, 21971, 543, 5515, 780, 1262, 14300, 540, 8466, 2725, 15939, 1234, 19960, 514, 902, 4373, 3080, 8037, 1383, 568, 2608, 9288, 2559, 1242, 24918, 24682, 799, 1427, 20635, 1713, 24918, 12959, 10023, 897, 1601, 531, 803, 577, 553, 7258, 2834, 7980, 269, 6271, 835, 568, 2608, 305, 2358, 6129, 11635, 27951, 265, 1305, 538, 3171, 644, 531, 3567, 267, 15386, 7663, 29718, 21847, 7796, 7627, 26009, 803, 577, 553, 8015, 28334, 10617, 269, 5637, 10643, 11100, 23610, 5468, 609, 14070, 2029, 267, 2870, 15138, 2833, 602, 8141, 9345, 543, 1565, 1851, 11655, 780, 1262, 3963, 5530, 8466, 2725, 15939, 1234, 19960, 514, 902, 15140, 19741, 1373, 19278, 267, 4974, 3140, 803, 15939, 556, 19960, 514, 902, 3091, 1896, 3872, 2640, 269, 17616, 267, 621, 11942, 2565, 3206, 1983, 607, 1053, 5635, 14810, 7653, 609, 4890, 2621, 269, 19627, 267, 621, 5713, 607, 513, 24891, 585, 4514, 3408, 883, 1686, 543, 6639, 7835, 269, 14936, 267, 621, 7512, 5876, 543, 9423, 5759, 267, 3850, 6267, 547, 1711, 741, 6386, 1759, 593, 3140, 8658, 780, 1262, 8002, 8481, 16001, 272, 269, 2878, 10932, 5741, 4995, 7994, 513, 3140, 2680, 543, 1374, 707, 3312, 803, 15939, 602, 13352, 1369, 602, 5736, 269, 14674, 922, 5920, 267, 7207, 267, 543, 1761, 1764, 593, 519, 6074, 6370, 563, 825, 454, 273, 269, 2878, 4467, 545, 853, 8692, 20520, 4995, 8073, 513, 1614, 1790, 534, 601, 13371, 14816, 18995, 513, 1134, 8153, 3140, 4090, 9927, 676, 519, 10014, 540, 513, 803, 15939, 269, 8528, 274, 269, 2878, 12218, 17564, 4995, 9523, 4555, 593, 2436, 1519, 28531, 2609, 899, 803, 577, 553, 10597, 610, 1253, 2176, 938, 8226, 540, 1686, 780, 3528, 18167, 883, 3140, 803, 15939, 556, 19960, 514, 902, 267, 649, 10802, 938, 8223, 540, 519, 2250, 1247, 18656, 3101, 538, 13858, 8941, 540, 2706, 16058, 12227, 269, 1924, 979, 6619, 910, 1577, 10690, 707, 6418, 14787, 543, 11653, 267, 5326, 2462, 267, 543, 723, 1187, 3695, 713, 6422, 12760, 540, 1686, 543, 13777, 22618, 17562, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9349, 560, 2803, 1299, 1290, 545, 853, 2803, 538, 23770, 454, 301, 5847, 6770, 519, 1158, 1927, 3833, 899, 513, 1434, 1433, 269, 3143, 2339, 945, 596, 616, 267, 1141, 596, 4076, 1044, 610, 1018, 596, 29954, 790, 547, 581, 267, 972, 779, 513, 1433, 585, 596, 269, 2334, 2882, 13371, 2835, 1932, 267, 609, 930, 540, 519, 1034, 3078, 3197, 543, 6946, 2984, 538, 1686, 18955, 1927, 609, 3750, 1790, 25891, 23877, 585, 519, 5021, 1198, 563, 2421, 24898, 15182, 731, 454, 9336, 2582, 1433, 543, 13371, 1433, 616, 2189, 538, 741, 1378, 2027, 1259, 267, 543, 865, 616, 519, 1507, 8637, 602, 6133, 873, 269, 2060, 4558, 26717, 267, 1187, 25584, 543, 13344, 267, 7132, 13730, 5234, 602, 2648, 1018, 789, 798, 267, 606, 4830, 21869, 648, 610, 13371, 21869, 648, 568, 513, 1158, 540, 922, 1378, 602, 568, 1175, 607, 1187, 543, 9159, 607, 1018, 779, 593, 519, 15808, 563, 10468, 662, 4011, 3125, 281, 1773, 18054, 11068, 6229, 454, 307, 26786, 2476, 538, 513, 10918, 4099, 693, 519, 10167, 540, 634, 1773, 18054, 543, 6239, 22971, 267, 3883, 16179, 619, 568, 14095, 609, 7372, 21684, 2407, 540, 1031, 2835, 538, 1169, 9135, 16697, 762, 269, 1411, 666, 2901, 4444, 519, 2835, 689, 3330, 610, 3544, 593, 741, 9042, 24646, 267, 610, 4123, 2987, 707, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23208, 2725, 15939, 1234, 19960, 514, 902, 257, 607, 851, 540, 834, 26376, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 5101, 7489, 13910, 1315, 631, 18553, 1315, 2725, 15939, 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, 594, 2760, 2219, 1454, 827, 1250, 15904, 9660, 2394, 835, 1554, 267, 1247, 593, 513, 2196, 267, 594, 5433, 513, 6727, 9636, 602, 1500, 803, 1616, 547, 18009, 1055, 1250, 25099, 269, 898, 729, 1287, 602, 594, 7691, 875, 1271, 621, 568, 547, 723, 519, 1318, 18942, 5957, 585, 16706, 269, 8528, 296, 1185, 2141, 1044, 513, 10178, 540, 10412, 512, 6879, 16630, 1317, 789, 941, 2571, 543, 7362, 762, 267, 855, 2370, 1705, 594, 917, 602, 10412, 25601, 7509, 543, 666, 4734, 596, 4743, 14927, 543, 5230, 1282, 513, 15904, 269, 2991, 3257, 930, 1382, 2228, 267, 594, 4362, 519, 9059, 540, 834, 15879, 626, 675, 2914, 10107, 257, 5958, 910, 513, 3014, 1680, 518, 256, 901, 1570, 14405, 17570, 2476, 689, 707, 1560, 267, 6028, 596, 4743, 4195, 543, 3819, 1256, 1310, 606, 7920, 8400, 693, 519, 15547, 780, 3080, 6216, 6854, 1402, 4771, 909, 538, 782, 1250, 19707, 1107, 30803, 30874, 269, 4256, 9153, 540, 5969, 12967, 2029, 543, 5499, 6272, 27278, 803, 269, 1924, 267, 594, 4956, 547, 2285, 873, 513, 2119, 543, 16539, 538, 741, 14167, 1899, 540, 7328, 1873, 792, 10023, 711, 1152, 7509, 2914, 10107, 5958, 855, 849, 1630, 8463, 824, 5863, 2934, 971, 607, 7362, 1464, 267, 12701, 1465, 267, 543, 4550, 268, 31121, 3601, 780, 4263, 1101, 267, 3388, 8604, 3501, 269, 3733, 8255, 2968, 811, 11791, 982, 2479, 1354, 269, 1809, 4166, 2614, 267, 1776, 3390, 556, 1563, 922, 30299, 2212, 269, 8409, 1412, 29788, 6674, 694, 4461, 262, 3323, 4929, 669, 2378, 532, 896, 1250, 7916, 267, 7432, 1018, 1031, 547, 581, 17175, 795, 9233, 883, 11213, 2833, 269, 5272, 1900, 18056, 803, 540, 519, 1025, 8974, 594, 1500, 676, 15175, 12478, 1510, 8499, 4152, 856, 519, 1587, 780, 30342, 17204, 267, 594, 5828, 547, 2228, 15473, 5275, 5796, 543, 24176, 269, 2334, 781, 1141, 594, 11402, 13191, 2710, 324, 2735, 278, 945, 3838, 1200, 1378, 6560, 609, 13943, 3742, 18875, 269, 2701, 6700, 1210, 1560, 1350, 728, 610, 19386, 21297, 2059, 519, 1966, 2127, 547, 2061, 2417, 669, 2378, 532, 269, 20331, 609, 713, 16012, 1702, 267, 594, 4797, 9849, 30803, 30874, 10591, 267, 7311, 13191, 781, 3070, 8164, 2556, 780, 288, 1906, 4374, 2663, 267, 1945, 6397, 5949, 269, 2755, 29957, 998, 17749, 267, 594, 8068, 513, 5432, 3068, 1851, 30803, 30874, 781, 5605, 817, 611, 832, 910, 621, 729, 13191, 2710, 324, 2735, 278, 9887, 256, 28214, 1312, 28280, 543, 20729, 539, 267, 594, 21947, 1200, 827, 1200, 12242, 3961, 269, 1677, 1250, 9983, 267, 1352, 21334, 539, 602, 1352, 5249, 607, 513, 2298, 1852, 9614, 693, 30803, 30874, 269, 4173, 5692, 593, 519, 15473, 729, 547, 1174, 6075, 2152, 1732, 543, 2327, 9283, 538, 2104, 10070, 780, 7212, 7620, 10413, 267, 594, 15874, 1200, 19969, 543, 11428, 547, 5355, 519, 6216, 269, 4595, 1287, 267, 30803, 30874, 814, 8197, 1500, 1713, 2242, 1759, 593, 3593, 5955, 267, 1519, 29779, 6366, 6674, 694, 4461, 543, 4824, 13496, 2029, 269, 27009, 267, 594, 23217, 5957, 741, 2472, 267, 6616, 602, 1142, 4062, 814, 8854, 998, 11826, 4152, 543, 27715, 267, 7064, 547, 20334, 899, 13191, 2710, 324, 2735, 278, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 6701, 972, 1022, 1808, 2934, 610, 4066, 602, 1118, 18942, 5957, 811, 6899, 547, 5957, 1282, 3635, 888, 8133, 267, 972, 616, 1896, 2934, 543, 4066, 602, 1118, 18942, 5957, 811, 6899, 547, 5957, 1282, 3635, 269, 1452, 1331, 1384, 272, 269, 7720, 626, 675, 2914, 10107, 5958, 281, 901, 1826, 540, 5958, 2337, 2721, 17570, 2476, 689, 519, 2960, 267, 5329, 519, 649, 13145, 4743, 3819, 543, 6899, 780, 273, 269, 22165, 327, 762, 2326, 281, 10049, 602, 1450, 585, 25312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 827, 922, 2477, 1698, 8558, 17514, 12084, 12647, 543, 811, 269, 2422, 519, 1863, 21570, 4786, 11015, 607, 513, 7688, 547, 1449, 707, 1702, 540, 519, 2477, 543, 1698, 8558, 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 ]
[ 540, 519, 3486, 543, 6237, 4876, 17831, 585, 519, 5697, 29286, 563, 1607, 5736, 568, 3366, 676, 2029, 607, 519, 1158, 568, 11179, 3001, 2509, 1007, 2029, 543, 1480, 1272, 568, 5051, 4742, 2029, 17466, 269, 5272, 2361, 540, 4702, 6212, 811, 593, 1966, 9010, 4066, 585, 519, 2104, 602, 666, 4324, 519, 3755, 269, 3245, 3782, 547, 2069, 267, 2029, 568, 10876, 543, 568, 6117, 3025, 621, 2501, 538, 5905, 609, 547, 1451, 1114, 1919, 693, 1169, 7944, 563, 15371, 621, 581, 519, 6467, 540, 476, 275, 294, 547, 476, 276, 294, 2792, 2029, 585, 1164, 1239, 6771, 11250, 267, 4359, 17562, 2029, 602, 568, 13868, 16625, 1480, 2816, 267, 12719, 519, 1699, 5046, 268, 866, 2665, 267, 3059, 8852, 799, 616, 8345, 689, 2890, 547, 519, 1804, 4336, 5823, 267, 2029, 4720, 666, 581, 2938, 10876, 16779, 3425, 547, 1847, 3564, 3339, 4247, 543, 946, 741, 1983, 811, 3927, 563, 1103, 971, 606, 9687, 9183, 267, 4966, 2161, 602, 1239, 543, 1983, 1115, 616, 519, 1883, 2798, 602, 786, 5397, 519, 2104, 2509, 3356, 538, 519, 4947, 1296, 269, 634, 1871, 540, 1239, 543, 922, 11091, 568, 4742, 811, 1271, 609, 942, 267, 9962, 19961, 585, 2500, 2792, 568, 1776, 4295, 1382, 2361, 267, 23142, 5021, 1239, 609, 519, 9803, 2009, 19961, 609, 3773, 3354, 568, 519, 1439, 3804, 19951, 563, 7804, 821, 5464, 585, 6808, 267, 7128, 3252, 267, 13178, 267, 8473, 3354, 267, 1072, 10311, 9001, 14164, 543, 5100, 3457, 267, 5691, 4641, 585, 2069, 543, 960, 616, 5571, 4066, 602, 723, 513, 15999, 9165, 538, 519, 2104, 269, 2353, 540, 891, 7569, 4359, 543, 2413, 1242, 4702, 1983, 267, 7432, 883, 513, 2647, 2039, 540, 4876, 5079, 585, 8030, 982, 2479, 1354, 269, 634, 9165, 585, 8800, 1374, 4610, 899, 966, 299, 10485, 1374, 267, 5295, 12752, 3156, 267, 2506, 5523, 4765, 7010, 267, 543, 14164, 849, 6585, 10373, 1761, 585, 2104, 8030, 563, 3528, 2974, 3873, 19300, 320, 454, 9827, 3367, 2433, 0, 6524, 594, 786, 1865, 1346, 2188, 3743, 585, 513, 3610, 4057, 3239, 267, 649, 991, 547, 917, 945, 568, 513, 11727, 4116, 543, 741, 5539, 454, 27645, 616, 9833, 607, 519, 5748, 540, 13280, 779, 3872, 1062, 269, 11334, 685, 3318, 543, 2123, 2208, 723, 513, 1463, 1764, 593, 2875, 22920, 269, 11334, 538, 2229, 3506, 616, 1360, 2025, 267, 4352, 4081, 6030, 1689, 1169, 1032, 269, 1703, 568, 1100, 6190, 2866, 547, 9337, 519, 1702, 540, 519, 3610, 267, 945, 3136, 547, 723, 8766, 20340, 543, 13599, 519, 1053, 538, 519, 2757, 6073, 563, 22826, 568, 513, 14053, 543, 4129, 1881, 4876, 602, 4749, 7569, 3610, 547, 3666, 2789, 4247, 543, 3853, 1247, 6967, 8465, 563, 9743, 1192, 832, 616, 1134, 8153, 585, 741, 5759, 547, 2491, 267, 17429, 576, 267, 543, 2243, 269, 901, 2376, 6227, 513, 3099, 540, 2152, 267, 1519, 30070, 10453, 267, 2921, 20343, 267, 9477, 741, 3356, 267, 543, 1565, 827, 741, 10080, 269, 9752, 568, 513, 4876, 585, 803, 282, 952, 596, 2461, 1869, 711, 18617, 267, 1224, 713, 1557, 782, 519, 1259, 547, 519, 1439, 563, 22826, 568, 513, 2816, 538, 799, 1053, 616, 6534, 547, 2093, 543, 2853, 936, 942, 269, 4438, 713, 942, 267, 519, 27466, 324, 10953, 519, 2556, 960, 2802, 545, 547, 2259, 607, 513, 4116, 563, 763, 5354, 540, 3610, 616, 23387, 540, 519, 1007, 2035, 3769, 538, 519, 15428, 6437, 269, 11334, 13856, 13460, 267, 855, 789, 1131, 1224, 513, 3184, 689, 513, 1837, 1247, 1053, 3274, 19557, 563, 27645, 945, 616, 711, 14013, 11727, 547, 936, 5408, 519, 1184, 540, 3450, 543, 1565, 538, 3506, 616, 12912, 267, 4611, 538, 4057, 2875, 1967, 543, 15366, 27025, 8351, 609, 519, 2773, 540, 2229, 3506, 563, 1607, 568, 2523, 7282, 1317, 4057, 2866, 543, 23696, 3450, 2569, 3747, 585, 2069, 267, 8754, 32033, 519, 7535, 540, 4810, 16929, 269, 901, 3091, 513, 4605, 540, 875, 1053, 543, 519, 2489, 1857, 13498, 3610, 563, 22826, 7569, 519, 946, 540, 513, 2647, 2039, 540, 1702, 827, 519, 1641, 1373, 6026, 269, 11334, 693, 782, 2157, 540, 519, 1153, 1404, 606, 1271, 851, 538, 513, 2197, 779, 2949, 2208, 269, 1306, 513, 1267, 267, 4116, 2069, 814, 1831, 606, 1898, 5057, 540, 519, 3872, 1062, 563, 26502, 19928, 5024, 547, 11334, 18648, 12005, 630, 20181, 21073, 264, 538, 5980, 454, 288, 1297, 540, 2188, 3565, 547, 3610, 685, 1970, 4567, 269, 2290, 666, 4898, 952, 519, 5354, 540, 938, 3610, 616, 4648, 610, 952, 789, 4001, 607, 513, 6281, 2707, 540, 4747, 269, 11334, 941, 15197, 538, 519, 4098, 1317, 789, 941, 30190, 543, 5837, 269, 11334, 941, 519, 679, 9871, 2664, 553, 540, 519, 2528, 538, 799, 789, 5249, 269, 1358, 6854, 9488, 5638, 540, 782, 2621, 543, 13685, 602, 7018, 1282, 741, 12081, 267, 543, 789, 941, 7453, 5676, 514, 12579, 563, 763, 1739, 3123, 3565, 547, 3610, 4057, 3239, 912, 268, 3509, 3610, 3668, 1582, 12635, 543, 2543, 585, 519, 15683, 540, 741, 960, 563, 268, 11334, 685, 3646, 798, 711, 723, 7525, 2164, 454, 268, 11334, 616, 711, 6444, 538, 13280, 267, 7429, 824, 22825, 971, 607, 4915, 543, 1876, 563, 268, 589, 1906, 540, 519, 3610, 616, 14468, 563, 268, 2368, 3610, 723, 513, 3983, 10639, 563, 268, 3509, 1004, 946, 3450, 607, 513, 19480, 6149, 547, 824, 6009, 563, 268, 634, 2298, 540, 3318, 2866, 543, 3178, 540, 3318, 7041, 568, 796, 3901, 3481, 676, 1346, 540, 824, 22825, 971, 607, 4915, 267, 1876, 267, 4702, 267, 543, 865, 593, 563, 268, 4841, 685, 771, 7356, 4081, 2773, 568, 593, 519, 4473, 693, 782, 2157, 267, 5103, 3610, 685, 3646, 269, 0, 763, 5967, 3992, 568, 513, 8049, 25135, 14653, 540, 707, 3450, 593, 799, 865, 1454, 666, 1964, 269, 1411, 9327, 1406, 723, 1044, 14376, 585, 5967, 952, 707, 3498, 1185, 1044, 4057, 267, 865, 693, 519, 1376, 540, 519, 1554, 3025, 568, 1107, 27985, 1107, 6966, 762, 269, 1656, 1498, 930, 1004, 949, 581, 2731, 8746, 538, 6101, 11042, 267, 6038, 621, 786, 2141, 581, 519, 4928, 602, 5963, 6927, 563, 4131, 779, 581, 2312, 267, 1498, 281, 1100, 835, 12517, 26770, 596, 547, 3648, 1764, 519, 2104, 1272, 8458, 540, 1453, 538, 476, 1789, 3764, 269, 13298, 267, 519, 1448, 540, 713, 851, 540, 519, 1554, 568, 585, 596, 547, 1397, 9972, 3401, 602, 596, 666, 2497, 1565, 267, 723, 1164, 6788, 543, 1628, 513, 29037, 609, 1453, 269, 3371, 779, 513, 3391, 547, 3257, 782, 1614, 563, 1805, 31382, 707, 5967, 3992, 454, 7312, 5967, 3992, 1058, 8998, 593, 835, 1360, 9395, 1565, 2832, 269, 6884, 519, 1153, 786, 1683, 713, 267, 3006, 621, 786, 3274, 1463, 596, 547, 513, 6249, 269, 1403, 596, 616, 3177, 609, 6965, 267, 1287, 513, 688, 30884, 786, 960, 1732, 982, 513, 3440, 611, 269, 1403, 596, 616, 4280, 547, 3382, 8454, 267, 594, 8910, 2303, 596, 1265, 513, 1483, 8996, 1935, 547, 922, 3498, 563, 2005, 568, 3730, 547, 917, 930, 1344, 827, 519, 1362, 596, 2461, 2469, 547, 4001, 1107, 2523, 1808, 1565, 2115, 543, 2489, 2702, 269, 1411, 723, 547, 723, 930, 2796, 547, 12334, 2509, 269, 1403, 713, 1344, 568, 711, 2016, 547, 596, 676, 519, 1153, 267, 2307, 585, 621, 563, 2252, 596, 4647, 1945, 689, 570, 2464, 685, 3896, 1810, 1406, 2503, 621, 267, 607, 952, 676, 9059, 267, 547, 979, 10977, 569, 269, 901, 8671, 545, 1152, 1568, 952, 596, 3082, 519, 4199, 585, 5049, 596, 917, 1134, 269, 1411, 798, 711, 917, 713, 1362, 693, 782, 269, 5502, 267, 1305, 1945, 2502, 585, 873, 607, 519, 3992, 5956, 630, 6112, 596, 535, 1497, 609, 3965, 16853, 1070, 2285, 873, 835, 2731, 9735, 4305, 543, 2327, 602, 596, 723, 513, 1259, 547, 2268, 1565, 563, 2710, 711, 3082, 707, 2511, 269, 634, 1153, 814, 547, 581, 519, 1318, 1747, 585, 596, 267, 865, 952, 596, 4020, 1945, 596, 1589, 789, 1616, 547, 1294, 855, 596, 2461, 13943, 609, 1107, 2161, 267, 1895, 960, 1107, 1287, 621, 786, 1397, 269, 14755, 267, 1946, 1131, 596, 1616, 547, 960, 12341, 602, 4465, 1406, 9784, 707, 2511, 540, 2069, 888, 10673, 1406, 581, 12922, 547, 7485, 10453, 909, 454, 4322, 949, 711, 581, 707, 8912, 1453, 543, 596, 949, 581, 14542, 609, 519, 7180, 3609, 267, 855, 21400, 10733, 267, 2220, 580, 3101, 1648, 10425, 543, 2348, 513, 23040, 568, 4440, 711, 519, 20772, 596, 1058, 723, 540, 519, 1453, 538, 707, 3992, 269, 1684, 711, 581, 12922, 547, 7485, 3214, 909, 543, 2307, 873, 547, 6439, 1518, 741, 7180, 269, 634, 9543, 605, 742, 518, 540, 513, 10822, 543, 513, 9602, 968, 8923, 838, 527, 856, 707, 10733, 5608, 568, 2469, 547, 581, 811, 2500, 982, 22551, 532, 2066, 519, 4055, 563, 8340, 513, 1259, 547, 5000, 782, 1453, 547, 1902, 538, 741, 1565, 1282, 707, 5967, 3992, 1107, 5612, 4584, 909, 1346, 26997, 547, 1376, 960, 543, 1071, 518, 576, 873, 883, 11836, 538, 269, 901, 568, 1141, 2348, 1945, 513, 2370, 3787, 21630, 512, 26786, 2476, 666, 948, 281, 513, 5594, 811, 3015, 4305, 610, 4199, 949, 6961, 519, 1318, 3364, 543, 621, 779, 1732, 547, 3082, 607, 596, 979, 2059, 2864, 982, 5365, 1318, 693, 519, 4098, 602, 596, 917, 1978, 1453, 616, 711, 607, 2111, 607, 1866, 563, 2252, 930, 1453, 19060, 610, 9096, 2038, 267, 1118, 2386, 596, 917, 1018, 519, 10137, 568, 1510, 621, 3100, 532, 899, 811, 960, 269, 594, 4076, 2893, 538, 1082, 513, 3992, 1141, 1053, 616, 5693, 811, 2111, 982, 519, 954, 341, 773, 933, 324, 4397, 543, 621, 3587, 513, 14853, 2389, 342, 1342, 1782, 3635, 563, 2750, 1051, 519, 8668, 711, 547, 960, 269, 898, 1131, 581, 17681, 952, 3388, 10443, 547, 1544, 855, 267, 6038, 267, 15791, 1205, 4503, 267, 8800, 3884, 1406, 15095, 267, 930, 4950, 12086, 616, 1951, 935, 1014, 543, 267, 1256, 891, 2395, 267, 519, 4950, 666, 3274, 16154, 563, 30395, 513, 29037, 609, 519, 1453, 454, 5278, 540, 519, 1360, 1655, 5967, 4245, 723, 1044, 4174, 5529, 1394, 547, 519, 11953, 7633, 543, 723, 16941, 2390, 519, 29037, 1063, 1362, 543, 954, 341, 773, 933, 324, 269, 681, 1952, 677, 1281, 711, 1611, 1655, 540, 669, 4548, 282, 713, 568, 513, 1153, 543, 519, 5551, 2078, 1058, 581, 4116, 543, 2875, 269, 1284, 616, 3168, 585, 4648, 945, 2972, 1373, 538, 519, 4928, 543, 15025, 609, 1762, 1004, 269, 1284, 786, 2307, 519, 1362, 1310, 1142, 3992, 875, 789, 2219, 621, 4682, 1107, 543, 649, 1616, 547, 5873, 519, 1453, 804, 600, 712, 585, 519, 7694, 540, 954, 341, 773, 933, 525, 269, 1284, 1616, 519, 3214, 547, 581, 707, 15156, 563, 2005, 568, 4502, 1316, 2358, 707, 6765, 269, 594, 723, 2893, 538, 11623, 1141, 519, 954, 341, 773, 933, 525, 723, 586, 8215, 693, 519, 1362, 267, 26866, 1229, 693, 519, 1362, 267, 6170, 519, 2898, 942, 2699, 543, 24852, 267, 543, 930, 945, 2760, 3357, 2673, 547, 25305, 513, 12837, 269, 594, 723, 4862, 930, 2995, 2473, 268, 3603, 24668, 267, 21279, 547, 968, 321, 3558, 1793, 777, 892, 2576, 543, 1776, 945, 1767, 267, 968, 26108, 344, 22946, 267, 952, 594, 729, 607, 29749, 607, 596, 267, 594, 8910, 9496, 8885, 9731, 22746, 1919, 616, 12691, 547, 18609, 803, 602, 596, 2461, 519, 1318, 1268, 585, 519, 2816, 269, 594, 1616, 596, 547, 8300, 267, 18663, 543, 13599, 519, 1762, 1004, 693, 1250, 1153, 267, 711, 17512, 1518, 873, 610, 1577, 873, 2196, 678, 3999, 563, 2750, 1051, 519, 6397, 454, 301, 5847, 786, 2479, 5965, 596, 585, 519, 6397, 269, 594, 4076, 2938, 606, 954, 341, 773, 933, 324, 22545, 936, 1010, 11480, 540, 535, 714, 5414, 4235, 855, 1930, 621, 7488, 543, 10936, 519, 1101, 1614, 9343, 540, 519, 4055, 269, 594, 2899, 6026, 1250, 3003, 5967, 3992, 609, 3368, 519, 16181, 540, 1250, 1283, 3768, 821, 1107, 693, 2547, 519, 3214, 941, 9602, 282, 28280, 883, 16563, 269, 3733, 26393, 2899, 5219, 547, 513, 2875, 676, 519, 4775, 15749, 585, 519, 3003, 3992, 267, 1152, 547, 581, 5143, 693, 519, 1439, 602, 519, 2875, 729, 513, 7911, 563, 302, 9536, 569, 267, 649, 941, 782, 12912, 547, 519, 5107, 649, 1185, 4294, 585, 269, 594, 7058, 930, 1919, 666, 581, 8483, 1508, 267, 2523, 952, 789, 1683, 513, 1187, 23278, 1774, 19952, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 299, 20814, 28946, 1043, 13096, 629, 1162, 543, 3194, 454, 763, 3461, 1416, 693, 2564, 1606, 17790, 4559, 540, 519, 10506, 568, 811, 7294, 982, 2479, 1317, 540, 519, 11999, 2179, 540, 1344, 991, 547, 581, 2808, 585, 519, 2126, 1374, 269, 9747, 267, 621, 568, 1898, 547, 12840, 538, 16542, 547, 1628, 2500, 960, 3347, 267, 2671, 2200, 267, 543, 4194, 2042, 630, 296, 3913, 520, 822, 545, 3780, 1696, 620, 1421, 476, 1001, 279, 1040, 1306, 513, 536, 3147, 8403, 675, 622, 1790, 10517, 1563, 12016, 267, 594, 666, 2671, 1250, 1702, 543, 1983, 540, 782, 20814, 519, 2200, 2877, 585, 1808, 21904, 543, 2665, 269, 5047, 267, 972, 616, 2994, 585, 4687, 519, 4282, 543, 1995, 547, 12954, 519, 22228, 1646, 1184, 269, 4014, 972, 1223, 581, 930, 8374, 540, 2469, 1932, 2123, 267, 621, 568, 519, 1034, 2500, 1259, 547, 12840, 630, 296, 3913, 520, 822, 545, 3780, 1696, 620, 1421, 476, 1001, 279, 1040, 769, 971, 513, 1259, 267, 676, 1818, 3280, 4661, 566, 267, 519, 3318, 666, 12954, 519, 9164, 547, 11654, 2963, 2861, 2259, 543, 798, 2834, 19707, 269, 5015, 267, 519, 1507, 4901, 7886, 1223, 581, 6896, 547, 5659, 519, 1007, 1344, 543, 2708, 922, 10220, 538, 2259, 269, 16511, 908, 28946, 1043, 13096, 629, 1162, 543, 3194, 454, 763, 2013, 5941, 585, 519, 4879, 540, 519, 2228, 12240, 568, 555, 668, 2513, 1736, 585, 519, 2126, 540, 2620, 268, 557, 514, 24405, 2670, 269, 634, 1101, 4199, 602, 1223, 581, 9619, 538, 713, 4259, 568, 634, 4750, 540, 31292, 16711, 269, 898, 2488, 4207, 543, 2143, 8808, 2853, 538, 1114, 8374, 543, 8039, 547, 1118, 8753, 543, 6430, 593, 2963, 2861, 2259, 269, 634, 1985, 6325, 6538, 585, 10478, 14046, 1344, 568, 2405, 2675, 1901, 1813, 547, 519, 2055, 543, 4267, 3296, 1141, 519, 2665, 689, 1114, 7653, 616, 5941, 269, 6270, 1239, 1223, 581, 1031, 547, 5635, 7145, 1210, 519, 4282, 1702, 689, 519, 6030, 543, 519, 2123, 1995, 630, 299, 334, 289, 542, 4777, 8862, 797, 1299, 13206, 518, 267, 476, 1001, 279, 1040, 4634, 1498, 621, 568, 711, 607, 6098, 12799, 585, 8808, 4648, 607, 519, 3105, 4199, 267, 621, 2488, 513, 5318, 2179, 540, 1344, 602, 1223, 581, 7522, 539, 1210, 17161, 563, 763, 1739, 4199, 568, 10858, 1152, 585, 519, 2016, 1880, 2013, 269, 634, 3791, 2707, 568, 519, 4760, 3957, 31292, 23369, 1299, 10657, 267, 799, 2488, 1808, 1344, 593, 2620, 268, 557, 514, 24405, 2670, 269, 898, 1058, 581, 12006, 602, 713, 4316, 568, 1898, 538, 513, 2564, 1606, 17790, 4259, 607, 519, 3664, 538, 971, 606, 1604, 2356, 616, 1500, 538, 513, 19060, 630, 20597, 11253, 13001, 306, 822, 328, 25155, 1696, 620, 1421, 476, 1001, 278, 1040, 901, 4199, 1223, 581, 1031, 585, 519, 2489, 1620, 540, 519, 4576, 543, 922, 2359, 269, 7335, 2139, 8039, 540, 519, 11923, 685, 3527, 267, 3226, 585, 519, 2550, 540, 519, 1482, 5868, 267, 666, 948, 1544, 519, 2556, 4238, 547, 6023, 269, 16511, 908, 28946, 1043, 13096, 629, 1162, 543, 3194, 454, 763, 8772, 6538, 585, 519, 7634, 540, 519, 2013, 568, 835, 540, 519, 9510, 543, 1655, 2564, 13746, 267, 634, 31102, 269, 898, 568, 540, 1880, 1719, 1317, 540, 519, 1164, 1764, 3815, 543, 1373, 9263, 24595, 676, 4810, 4648, 269, 4014, 519, 2179, 540, 1344, 538, 713, 4760, 1131, 711, 581, 607, 1808, 543, 24245, 267, 621, 568, 3810, 6325, 585, 519, 16861, 4879, 540, 519, 1888, 269, 634, 11359, 4199, 568, 835, 540, 519, 3102, 12240, 1932, 269, 634, 3213, 577, 8735, 7732, 568, 14046, 1317, 540, 922, 9263, 21623, 532, 3609, 543, 2934, 3730, 4359, 3406, 602, 568, 5363, 538, 519, 1808, 7634, 563, 2414, 2347, 519, 2556, 1382, 543, 2200, 3408, 267, 4648, 666, 946, 2780, 22475, 609, 2228, 8021, 269, 898, 1058, 581, 7074, 602, 930, 540, 519, 2200, 949, 711, 581, 2139, 585, 1863, 946, 267, 543, 2043, 1522, 991, 519, 14261, 610, 20478, 269, 1280, 1383, 267, 2405, 2675, 1901, 543, 634, 31102, 666, 581, 15600, 609, 1863, 14261, 269, 4014, 930, 10506, 1683, 519, 13222, 609, 971, 15314, 267, 6140, 267, 621, 568, 12913, 676, 1210, 519, 6413, 1569, 547, 519, 8021, 269, 769, 971, 513, 1259, 267, 519, 1344, 2556, 585, 3318, 267, 2963, 2861, 2259, 666, 581, 15600, 1256, 952, 519, 12016, 1185, 711, 11402, 519, 5868, 1354, 269, 16511, 908, 28946, 1043, 13096, 629, 1162, 543, 3194, 0, 2791, 616, 8384, 281, 16294, 16702, 1961, 4090, 10646, 1063, 8701, 543, 1875, 335, 6897, 7554, 454, 2691, 11046, 538, 513, 11140, 2671, 9211, 796, 3225, 958, 267, 789, 1711, 1018, 568, 1572, 513, 16702, 1961, 4090, 269, 901, 4386, 950, 835, 11046, 568, 1454, 811, 18546, 821, 326, 894, 14091, 367, 368, 30319, 1776, 267, 3142, 827, 602, 11046, 17444, 811, 17401, 9625, 1657, 519, 8994, 6292, 540, 9211, 267, 610, 607, 4166, 607, 835, 11046, 814, 513, 19157, 6292, 602, 9211, 543, 519, 11984, 540, 18546, 821, 326, 18356, 6152, 10881, 538, 519, 1482, 1259, 269, 7324, 519, 1034, 8912, 1806, 568, 519, 1216, 11140, 267, 1500, 909, 540, 835, 5135, 11046, 543, 1079, 7250, 8444, 269, 634, 3604, 538, 18546, 821, 326, 18356, 543, 849, 19157, 9211, 2285, 5135, 513, 9864, 606, 8801, 5279, 543, 849, 1142, 7250, 513, 9864, 8746, 5279, 563, 2691, 1079, 5122, 10997, 267, 540, 519, 14669, 1129, 543, 849, 3160, 9588, 267, 616, 9674, 998, 513, 3845, 267, 606, 5122, 16702, 1961, 568, 3964, 269, 634, 2450, 540, 513, 16702, 1961, 568, 6027, 676, 602, 568, 16702, 1961, 4090, 22570, 7268, 14153, 315, 26895, 667, 760, 1961, 4090, 568, 2268, 538, 1546, 25742, 4559, 267, 1775, 1917, 707, 533, 30972, 568, 3160, 547, 519, 3845, 538, 1063, 519, 10997, 16611, 676, 519, 13927, 630, 272, 1546, 25742, 5666, 547, 1422, 263, 274, 269, 4097, 1422, 9392, 476, 1015, 28260, 1789, 20939, 595, 20867, 544, 315, 26895, 634, 16702, 1961, 8792, 540, 513, 11140, 666, 581, 9819, 676, 17817, 1422, 7268, 10915, 272, 315, 2187, 315, 283, 1422, 11355, 315, 14153, 815, 1422, 8999, 10983, 7117, 10983, 22773, 1422, 11355, 337, 10983, 1422, 16932, 272, 315, 11417, 3602, 315, 7268, 11355, 315, 14153, 315, 264, 568, 519, 16702, 1961, 8792, 6152, 1422, 263, 336, 10983, 315, 264, 568, 519, 2450, 540, 519, 1422, 263, 328, 317, 628, 315, 264, 5279, 267, 543, 849, 1422, 7268, 11355, 337, 10983, 315, 264, 568, 519, 6152, 8204, 519, 1747, 540, 1422, 263, 328, 317, 628, 315, 264, 5279, 563, 763, 16702, 1961, 8792, 6411, 538, 519, 4287, 540, 519, 6152, 7274, 269, 1323, 3236, 540, 513, 8701, 11140, 568, 1422, 7268, 576, 295, 318, 273, 302, 315, 1040, 5221, 540, 519, 19157, 6292, 9625, 1657, 5135, 267, 519, 5943, 540, 1422, 7268, 576, 295, 318, 273, 302, 315, 264, 568, 18761, 630, 16129, 966, 292, 4916, 305, 3069, 1070, 799, 519, 519, 10321, 8204, 519, 16702, 1961, 8792, 540, 1142, 6125, 798, 711, 5305, 1142, 1585, 824, 856, 269, 9747, 267, 1216, 568, 8701, 563, 763, 6152, 10881, 689, 29014, 547, 2942, 267, 1283, 1283, 1312, 519, 11140, 630, 6339, 264, 16702, 1961, 4090, 543, 519, 1367, 6125, 16702, 3421, 269, 7305, 589, 273, 19141, 519, 18546, 821, 326, 18356, 540, 1896, 540, 519, 8912, 2609, 269, 634, 3677, 519, 3017, 538, 18546, 821, 326, 18356, 538, 1063, 519, 476, 273, 8444, 267, 519, 811, 18546, 821, 326, 894, 519, 6125, 568, 269, 1677, 581, 3144, 883, 7156, 513, 8701, 6125, 267, 519, 11984, 538, 18546, 821, 326, 18356, 1058, 581, 1804, 269, 634, 16702, 1961, 4090, 2798, 538, 519, 4287, 540, 519, 6152, 2179, 540, 1169, 540, 519, 3095, 18546, 821, 326, 520, 8481, 3773, 1927, 563, 2005, 568, 5266, 2653, 547, 2268, 909, 16702, 1961, 8090, 282, 3274, 1747, 513, 6219, 538, 1063, 9901, 10824, 630, 8201, 1422, 7268, 17273, 19340, 273, 315, 4297, 543, 849, 8701, 6675, 2333, 519, 13927, 6740, 1283, 1283, 10824, 543, 519, 16702, 1961, 4090, 666, 581, 6508, 630, 328, 4318, 1421, 3842, 519, 31887, 519, 519, 1062, 1040, 6348, 335, 6897, 1422, 7268, 576, 290, 5141, 318, 275, 315, 264, 568, 711, 1219, 21124, 282, 4099, 8701, 21449, 821, 1219, 937, 338, 5594, 282, 1360, 8701, 1216, 1219, 937, 338, 9244, 269, 769, 2489, 267, 8701, 6675, 786, 6157, 5447, 2933, 281, 630, 272, 264, 538, 606, 5122, 2361, 267, 630, 273, 264, 998, 2463, 547, 835, 1776, 267, 610, 630, 274, 264, 642, 2463, 547, 9357, 630, 8201, 1422, 7268, 17273, 19340, 273, 315, 264, 1916, 288, 606, 5140, 1383, 540, 513, 1875, 335, 6897, 11140, 602, 2882, 8701, 6125, 568, 3327, 8166, 630, 8201, 1422, 7268, 17273, 19340, 274, 320, 315, 26895, 901, 568, 513, 5276, 11140, 543, 849, 1142, 595, 284, 302, 3095, 568, 267, 538, 1249, 267, 8701, 269, 634, 1292, 3327, 786, 723, 513, 2121, 29014, 5279, 267, 543, 519, 1079, 5007, 5135, 11046, 513, 2121, 606, 8801, 5279, 269, 1717, 267, 1317, 519, 11140, 568, 5276, 267, 891, 476, 273, 6125, 16702, 3421, 5305, 1142, 824, 856, 630, 328, 4318, 269, 634, 6152, 19349, 540, 519, 16702, 3421, 11224, 4642, 264, 543, 849, 519, 607, 2898, 11140, 814, 2965, 513, 4642, 16702, 1961, 4090, 22570, 7268, 14153, 284, 271, 315, 264, 1916, 7212, 513, 8701, 6125, 568, 513, 32563, 585, 513, 11140, 547, 723, 513, 16702, 1961, 267, 1100, 782, 6675, 642, 8701, 7554, 8858, 16702, 3421, 454, 2690, 1422, 263, 5723, 5332, 315, 264, 6675, 267, 17929, 1422, 263, 288, 315, 264, 568, 519, 3844, 11046, 543, 849, 1422, 263, 289, 315, 264, 616, 782, 519, 1482, 2249, 540, 8444, 267, 972, 616, 1808, 7636, 22762, 1845, 799, 616, 21136, 269, 4475, 267, 14500, 786, 723, 1100, 16702, 1961, 1256, 952, 519, 7554, 4055, 8701, 269, 1452, 22762, 1845, 7854, 5276, 267, 4645, 4689, 1544, 541, 267, 25543, 14366, 267, 12354, 320, 14366, 543, 4645, 4689, 536, 27251, 1090, 573, 563, 8450, 811, 281, 1215, 3509, 30667, 769, 476, 273, 634, 1087, 531, 517, 2103, 476, 273, 267, 476, 273, 634, 1087, 531, 517, 2103, 476, 273, 454, 7078, 1422, 7268, 17273, 19340, 274, 315, 2567, 1422, 7268, 576, 290, 318, 273, 5141, 318, 275, 315, 994, 7212, 519, 595, 1700, 5141, 7554, 616, 3833, 8701, 267, 519, 1367, 6125, 16702, 3421, 5305, 835, 1776, 538, 713, 15340, 2497, 267, 543, 849, 1422, 7268, 576, 5141, 318, 273, 290, 284, 290, 5141, 318, 273, 315, 264, 1281, 711, 723, 2965, 513, 2121, 16702, 1961, 4090, 563, 7078, 1422, 7268, 17273, 19340, 274, 315, 2567, 1422, 7268, 576, 6224, 318, 274, 5141, 315, 994, 290, 4211, 331, 267, 519, 606, 1898, 8701, 6125, 267, 568, 476, 9965, 10681, 269, 20970, 3605, 476, 272, 269, 9262, 667, 269, 7087, 713, 1239, 267, 4939, 25617, 1915, 17330, 547, 581, 17223, 269, 1403, 713, 6125, 941, 476, 1911, 260, 25617, 630, 22372, 9625, 1657, 23442, 1299, 6475, 1070, 0, 2108, 7224, 991, 540, 1747, 7536, 763, 3932, 14405, 1927, 519, 1433, 779, 2101, 4681, 998, 513, 2542, 540, 29439, 26075, 779, 5494, 6847, 593, 6396, 267, 2519, 5097, 2390, 519, 2078, 1063, 1747, 543, 2219, 538, 519, 17695, 1436, 540, 519, 524, 690, 17010, 269, 18830, 29439, 26075, 779, 14810, 540, 771, 10603, 617, 1221, 543, 1747, 1652, 2247, 267, 519, 3932, 5267, 602, 2038, 2413, 2296, 12416, 5933, 519, 791, 1601, 2225, 540, 19459, 2219, 689, 922, 5748, 538, 20032, 543, 1604, 267, 607, 1134, 607, 519, 4539, 1765, 531, 1181, 2299, 13249, 543, 13371, 1765, 1993, 12394, 547, 798, 865, 269, 3502, 1152, 798, 519, 4249, 2808, 538, 713, 1433, 1397, 3206, 547, 581, 606, 8733, 7613, 282, 789, 849, 7866, 602, 519, 957, 540, 3206, 998, 1747, 666, 2981, 519, 32725, 540, 513, 4087, 563, 23682, 5112, 18623, 1222, 6732, 3340, 513, 20478, 610, 6718, 547, 1569, 519, 2407, 1257, 540, 2835, 1369, 519, 3028, 269, 5398, 3755, 666, 2705, 11884, 3406, 519, 3135, 543, 2070, 519, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 563, 2252, 596, 1589, 596, 1058, 723, 1569, 547, 713, 2140, 267, 5225, 3346, 707, 7172, 4115, 269, 0, 288, 16025, 9096, 568, 513, 2312, 267, 2312, 8720, 1644, 547, 16025, 547, 16102, 621, 689, 14927, 1145, 543, 547, 1118, 621, 1413, 21950, 607, 1134, 607, 4514, 269, 901, 9775, 689, 5862, 267, 799, 568, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 4557, 656, 5624, 267, 1312, 14827, 24383, 1131, 581, 2139, 563, 3719, 1018, 952, 519, 3595, 7018, 538, 519, 4295, 888, 27745, 621, 1711, 513, 3510, 1141, 1312, 608, 1080, 616, 17808, 286, 1548, 5934, 3845, 1590, 519, 1079, 24383, 581, 9674, 676, 286, 769, 713, 2013, 267, 621, 568, 835, 3368, 519, 15497, 540, 519, 2679, 563, 9617, 899, 14827, 1569, 267, 538, 513, 4628, 20057, 548, 1042, 713, 568, 4389, 547, 835, 21017, 519, 15497, 540, 519, 2679, 563, 310, 14176, 700, 8016, 12442, 12327, 3951, 306, 17252, 2752, 12327, 9898, 296, 3036, 888, 3963, 1058, 9703, 14827, 24383, 23679, 581, 4092, 2282, 519, 16538, 540, 519, 2679, 888, 11039, 585, 835, 267, 621, 2306, 519, 835, 28451, 610, 835, 21017, 15497, 14827, 9668, 4443, 563, 763, 824, 2601, 568, 1317, 540, 14827, 11166, 269, 1403, 596, 11291, 267, 649, 1767, 607, 4166, 607, 606, 5003, 656, 13788, 519, 9703, 14827, 25047, 267, 789, 723, 608, 1243, 519, 2679, 563, 5804, 513, 1272, 3106, 5133, 267, 713, 568, 3020, 855, 689, 513, 21055, 610, 16022, 29459, 267, 789, 616, 1869, 538, 519, 2168, 2497, 602, 649, 1289, 513, 2679, 269, 16828, 267, 519, 25047, 786, 11166, 519, 5003, 656, 12341, 269, 23657, 519, 25047, 786, 11166, 519, 5003, 656, 2047, 547, 519, 3544, 610, 789, 786, 11166, 519, 5003, 656, 1394, 883, 519, 2679, 563, 7617, 568, 10930, 286, 4270, 267, 2047, 3544, 563, 763, 2679, 568, 593, 3595, 267, 1310, 782, 269, 1809, 602, 1131, 1611, 519, 24383, 723, 547, 581, 4092, 2059, 519, 16538, 3774, 563, 10303, 8506, 782, 9703, 14827, 24383, 547, 11166, 2047, 547, 519, 16538, 568, 25516, 689, 513, 1374, 5133, 267, 519, 3009, 14998, 909, 547, 476, 2004, 260, 540, 9703, 14827, 24383, 547, 11166, 1394, 883, 519, 2679, 267, 3177, 1896, 4170, 616, 1558, 563, 2171, 3580, 4685, 883, 713, 538, 1454, 3152, 1469, 538, 513, 2663, 3381, 269, 634, 1491, 12537, 568, 602, 29466, 9703, 14827, 24383, 593, 16538, 6821, 568, 4998, 267, 1141, 15164, 267, 1813, 547, 14827, 9668, 543, 11166, 4170, 563, 16787, 288, 6579, 5723, 6579, 14510, 9215, 744, 6717, 16810, 3198, 4811, 454, 2750, 1080, 849, 1590, 581, 2139, 547, 782, 31269, 563, 1432, 1281, 2139, 1611, 286, 898, 1797, 519, 5003, 656, 814, 1569, 547, 519, 14827, 563, 2252, 972, 568, 1100, 13374, 267, 1287, 519, 5003, 656, 3112, 3914, 519, 14827, 563, 2252, 519, 13374, 814, 9885, 602, 616, 19526, 610, 896, 1852, 540, 1776, 4557, 656, 267, 1287, 891, 608, 1080, 616, 711, 2139, 563, 1607, 4422, 1688, 538, 1688, 609, 519, 1523, 540, 14827, 1569, 602, 649, 5941, 538, 519, 3105, 3381, 269, 898, 779, 513, 3787, 540, 9269, 543, 4212, 267, 855, 3335, 519, 608, 1080, 616, 1305, 1101, 543, 519, 14827, 1569, 568, 2966, 1472, 621, 269, 1809, 2507, 11004, 616, 3871, 1141, 3606, 608, 1080, 1590, 581, 3773, 3735, 538, 1374, 563, 3080, 1383, 1522, 581, 513, 1857, 25211, 540, 606, 6382, 5150, 2679, 269, 898, 814, 1152, 835, 1305, 540, 9885, 585, 7127, 543, 14827, 269, 20431, 1218, 616, 711, 15868, 547, 979, 3564, 519, 2679, 25211, 1510, 1697, 3354, 22754, 267, 1256, 538, 606, 6595, 563, 3383, 267, 713, 1797, 602, 585, 31269, 538, 519, 25211, 267, 972, 568, 513, 2582, 14827, 563, 3719, 952, 713, 25211, 814, 811, 982, 476, 2004, 31269, 267, 1079, 14827, 1569, 9885, 630, 528, 1079, 608, 1080, 538, 713, 1383, 264, 616, 2838, 267, 2495, 513, 2034, 14827, 1131, 723, 547, 581, 3773, 563, 291, 8780, 23814, 9215, 12327, 3951, 306, 454, 7661, 267, 608, 1080, 1058, 581, 4092, 865, 602, 31269, 1810, 1406, 723, 547, 2951, 1932, 2484, 547, 1205, 547, 873, 563, 2252, 649, 8263, 519, 2679, 568, 593, 3595, 267, 1287, 1169, 2034, 12523, 538, 606, 27549, 269, 634, 2417, 2476, 519, 14827, 568, 267, 519, 3476, 621, 786, 1491, 585, 606, 5003, 656, 547, 1205, 856, 269, 1924, 267, 875, 2484, 568, 1932, 2484, 286, 1548, 568, 519, 5021, 2951, 3845, 888, 2171, 3580, 4685, 883, 6482, 540, 2951, 3845, 547, 608, 1080, 538, 2663, 7044, 269, 898, 5673, 593, 5003, 3599, 855, 3622, 267, 519, 2039, 568, 1063, 476, 1911, 3952, 547, 476, 6110, 3952, 585, 519, 5021, 3845, 606, 5003, 656, 568, 15868, 547, 2951, 1354, 8757, 519, 14282, 14827, 563, 3383, 267, 875, 1058, 608, 1080, 581, 4092, 888, 5445, 1058, 581, 4092, 2484, 2614, 6306, 689, 1142, 824, 267, 865, 602, 513, 3595, 1131, 711, 11904, 1312, 608, 1080, 8035, 762, 269, 27814, 267, 608, 1080, 616, 4092, 2282, 519, 16538, 540, 519, 2679, 563, 2750, 1080, 1058, 581, 11593, 3015, 547, 782, 5656, 31269, 269, 1656, 519, 3845, 606, 5003, 656, 814, 547, 2951, 547, 3914, 606, 14827, 12582, 1406, 581, 7050, 563, 2171, 2461, 2469, 547, 1205, 998, 930, 1806, 593, 14827, 11460, 538, 519, 1985, 10126, 543, 1205, 930, 2259, 2324, 998, 1346, 563, 5804, 972, 267, 649, 2461, 2469, 547, 3382, 875, 649, 948, 31269, 917, 1141, 608, 1080, 616, 4092, 563, 296, 6557, 24697, 4446, 21884, 267, 713, 568, 2725, 9807, 27852, 2160, 563, 32306, 513, 31400, 563, 306, 18782, 8525, 10466, 454, 288, 16336, 9652, 267, 18435, 292, 296, 454, 2704, 962, 752, 601, 267, 590, 4953, 454, 2419, 5142, 23720, 267, 18027, 454, 2419, 5142, 8298, 534, 267, 18435, 4916, 267, 681, 10345, 454, 21837, 853, 2329, 267, 18027, 454, 10955, 26673, 3205, 267, 18027, 454, 297, 4141, 2725, 9807, 267, 18027, 0, 1607, 1353, 6322, 547, 2697, 519, 5042, 24598, 25751, 540, 5545, 737, 534, 10202, 5759, 543, 12172, 519, 7418, 540, 737, 534, 10202, 11601, 547, 519, 1646, 540, 2362, 7400, 1893, 1983, 1759, 593, 513, 1614, 8820, 2070, 540, 737, 534, 10202, 5759, 21214, 2542, 6111, 267, 1603, 6111, 267, 543, 23066, 8223, 269, 3689, 267, 513, 3126, 540, 9695, 9382, 729, 1031, 547, 2697, 519, 12947, 716, 3645, 3631, 540, 1142, 10155, 540, 5545, 737, 534, 10202, 11601, 269, 1452, 3631, 2303, 602, 267, 1851, 2596, 5042, 1983, 267, 20803, 3432, 267, 1471, 340, 2214, 7652, 4393, 267, 543, 4852, 12519, 4393, 20690, 737, 534, 10202, 5759, 538, 513, 10155, 10391, 6073, 267, 6466, 13093, 1670, 4393, 568, 513, 1455, 3815, 269, 5822, 267, 4352, 782, 519, 7516, 540, 737, 534, 10202, 5759, 10567, 9715, 11913, 1702, 8449, 267, 1603, 1983, 593, 519, 1257, 1377, 267, 6027, 607, 2856, 5860, 267, 941, 1152, 10567, 676, 519, 1603, 10155, 630, 785, 1311, 569, 3842, 9715, 1702, 1040, 3776, 4681, 2099, 519, 1101, 2963, 540, 519, 10155, 10391, 3347, 540, 519, 1614, 7516, 540, 5545, 737, 534, 10202, 5759, 609, 741, 5042, 30661, 267, 607, 1134, 607, 609, 2362, 7400, 1893, 1983, 269, 1358, 2303, 519, 2956, 540, 13002, 11601, 1282, 1153, 1296, 585, 519, 1646, 540, 1893, 1983, 998, 547, 15296, 269, 7053, 267, 2921, 519, 25761, 968, 301, 684, 1353, 2223, 799, 5267, 602, 2362, 2856, 5860, 568, 8825, 1996, 12110, 267, 883, 2272, 267, 649, 15974, 513, 7811, 5943, 585, 519, 15400, 18330, 540, 7924, 11601, 563, 30153, 7924, 543, 737, 534, 10202, 5759, 454, 763, 5545, 1603, 1062, 568, 7768, 540, 1079, 2010, 540, 7097, 267, 1775, 4318, 1421, 737, 3570, 543, 737, 534, 10202, 269, 634, 5449, 568, 13093, 4919, 267, 538, 799, 513, 4484, 568, 25528, 5196, 513, 1770, 540, 3280, 267, 607, 538, 2296, 269, 634, 8545, 568, 2845, 4919, 267, 538, 799, 513, 1915, 568, 25528, 5196, 513, 1770, 540, 2495, 267, 607, 538, 4457, 269, 6145, 21229, 12185, 9647, 13132, 609, 476, 2190, 1700, 3607, 5022, 272, 267, 519, 5449, 5161, 540, 1152, 476, 10170, 5022, 267, 799, 616, 11617, 2241, 267, 543, 782, 737, 3570, 5022, 616, 9715, 676, 519, 1101, 1032, 540, 10026, 1153, 269, 769, 4334, 267, 519, 8545, 3568, 811, 982, 476, 276, 267, 1822, 3197, 267, 799, 4268, 538, 3308, 6988, 267, 607, 568, 519, 2013, 609, 4457, 9647, 2762, 273, 269, 20855, 10202, 3197, 616, 9715, 7930, 1759, 593, 1153, 3446, 2429, 3567, 267, 538, 7453, 13076, 609, 519, 1153, 6437, 4808, 2919, 676, 519, 12080, 540, 4065, 267, 9177, 267, 11846, 267, 3163, 543, 5303, 274, 267, 275, 269, 769, 519, 1101, 3446, 267, 1453, 1451, 476, 3199, 3197, 630, 5228, 513, 2698, 540, 476, 273, 267, 15793, 3232, 14025, 3197, 1040, 1358, 616, 4397, 547, 4487, 476, 272, 267, 24879, 3197, 676, 519, 1439, 540, 519, 15795, 3446, 267, 543, 547, 581, 2111, 547, 1224, 782, 3232, 14025, 737, 534, 10202, 267, 1519, 11617, 1360, 1950, 3197, 971, 607, 519, 737, 534, 10202, 28859, 361, 365, 630, 340, 268, 1206, 340, 267, 4965, 1070, 543, 547, 581, 2111, 547, 2328, 1034, 540, 873, 676, 1688, 1354, 1164, 1153, 22692, 274, 267, 275, 269, 769, 5545, 6054, 267, 1034, 17205, 267, 543, 519, 5072, 540, 1034, 13450, 267, 21371, 267, 543, 740, 18690, 616, 3622, 2854, 609, 737, 534, 10202, 3197, 267, 6466, 737, 3570, 5022, 616, 1031, 7755, 9417, 1947, 585, 1599, 1913, 543, 1102, 3005, 531, 30804, 269, 4014, 519, 5545, 1893, 666, 581, 2854, 14311, 609, 737, 3570, 5022, 267, 1082, 4630, 2684, 2158, 538, 519, 5545, 1893, 616, 6719, 609, 519, 1482, 737, 3570, 5022, 282, 4061, 267, 5931, 2854, 609, 1152, 891, 5022, 616, 3622, 1454, 1447, 28505, 269, 5545, 737, 534, 10202, 3197, 1118, 4630, 2684, 2158, 5806, 514, 762, 267, 543, 17117, 540, 513, 3677, 1297, 540, 737, 534, 10202, 3197, 543, 1913, 18715, 602, 835, 786, 581, 2111, 547, 1224, 543, 2328, 811, 1950, 5220, 609, 513, 2362, 8167, 540, 7493, 1913, 563, 24145, 2329, 11601, 538, 1022, 1893, 568, 20690, 2740, 676, 2596, 5042, 1983, 543, 666, 1489, 519, 1646, 540, 2362, 7400, 1893, 1983, 269, 901, 1797, 602, 7924, 666, 581, 513, 18657, 1807, 1063, 2038, 5042, 1983, 543, 7214, 5759, 538, 15296, 269, 5545, 7924, 568, 2808, 547, 4096, 7361, 593, 1983, 585, 5883, 737, 534, 10202, 1913, 267, 799, 616, 9715, 7930, 936, 942, 543, 616, 1031, 538, 13283, 547, 737, 3570, 269, 1717, 267, 519, 5042, 23923, 11365, 13279, 540, 5545, 737, 534, 10202, 5759, 616, 15458, 267, 6466, 621, 814, 1044, 14578, 4080, 602, 737, 3570, 11601, 568, 9244, 10567, 676, 13093, 1670, 4393, 276, 267, 277, 267, 278, 267, 607, 568, 849, 519, 2013, 609, 2296, 279, 267, 280, 269, 634, 5042, 24598, 25751, 610, 7569, 540, 737, 534, 10202, 11601, 602, 16569, 2394, 15296, 616, 2808, 547, 4125, 811, 7444, 3384, 3252, 982, 267, 610, 693, 2547, 547, 581, 14356, 1114, 689, 267, 1346, 540, 737, 3570, 11601, 269, 9717, 519, 2362, 9860, 540, 2042, 538, 7924, 11601, 538, 737, 534, 10202, 982, 538, 737, 3570, 1851, 5545, 1453, 1015, 267, 7114, 519, 5042, 24598, 25751, 540, 5545, 737, 534, 10202, 5759, 568, 1271, 585, 17923, 9354, 610, 3872, 2994, 585, 891, 2042, 269, 769, 1840, 267, 7924, 593, 519, 2262, 1377, 568, 835, 540, 519, 1898, 13279, 5885, 1702, 11601, 693, 1153, 610, 11992, 267, 607, 1134, 607, 519, 1646, 540, 2542, 270, 8586, 1983, 593, 519, 1257, 1377, 269, 4475, 267, 689, 519, 5133, 540, 519, 1646, 540, 1893, 1983, 267, 713, 1353, 11567, 519, 2078, 540, 737, 534, 10202, 5759, 609, 741, 5042, 24598, 25751, 607, 1134, 607, 609, 2362, 7400, 1893, 1983, 538, 5545, 6280, 1053, 945, 1185, 6192, 476, 1321, 1153, 1296, 540, 737, 534, 10202, 2069, 563, 290, 4321, 24598, 25751, 540, 7924, 454, 5575, 267, 547, 2697, 519, 5042, 30661, 540, 737, 534, 10202, 5759, 267, 621, 568, 2556, 547, 2015, 2789, 543, 15025, 1981, 270, 23181, 633, 2188, 540, 7924, 2042, 4171, 1696, 5735, 568, 1950, 543, 12947, 716, 3645, 267, 971, 607, 11095, 27577, 1556, 267, 1321, 269, 9061, 14426, 13753, 723, 3964, 519, 2956, 540, 13093, 1670, 4393, 607, 835, 540, 519, 1883, 30661, 540, 7924, 11601, 538, 21229, 12185, 9647, 13132, 630, 291, 8553, 267, 4436, 267, 2296, 267, 25227, 267, 3943, 267, 23826, 267, 543, 14082, 264, 1724, 267, 1691, 267, 607, 1134, 607, 538, 2845, 4919, 4457, 1428, 269, 589, 2582, 12413, 7228, 13093, 1670, 3069, 540, 7924, 2042, 729, 19497, 12880, 282, 2705, 267, 6932, 2963, 5267, 519, 2009, 9295, 540, 22907, 538, 1471, 340, 2214, 7652, 4393, 267, 1519, 1471, 340, 558, 19318, 4393, 3432, 267, 547, 7924, 2042, 538, 21229, 12185, 279, 267, 280, 267, 1626, 267, 1704, 267, 1240, 267, 866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 582, 22933, 365, 31609, 476, 272, 454, 273, 290, 582, 476, 273, 22933, 365, 31609, 476, 273, 10870, 3813, 19569, 365, 1547, 290, 582, 22933, 365, 454, 23751, 273, 10870, 3813, 273, 19569, 365, 31609, 476, 273, 10870, 3813, 19569, 365, 1547, 290, 582, 22933, 365, 454, 273, 24033, 363, 595, 582, 22933, 365, 630, 290, 582, 22933, 365, 31609, 3213, 3813, 19569, 365, 12467, 23751, 273, 24033, 363, 3213, 3813, 19569, 365, 630, 290, 582, 22933, 365, 31609, 3213, 3813, 19569, 365, 12467, 290, 582, 22933, 365, 454, 23751, 10870, 3813, 19569, 365, 454, 290, 657, 22933, 365, 454, 7562, 19569, 365, 454, 272, 454, 10870, 3813, 19569, 365, 23880, 454, 7562, 19569, 365, 454, 290, 657, 22933, 365, 454, 284, 16429, 22933, 365, 454, 272, 454, 306, 514, 22933, 365, 454, 290, 657, 22933, 365, 454, 23751, 272, 454, 284, 15328, 22933, 365, 700, 9391, 454, 299, 9391, 23880, 681, 9391, 454, 8660, 454, 18893, 1308, 11644, 454, 20799, 19569, 365, 12865, 511, 5430, 19569, 365, 5430, 3235, 22933, 365, 12865, 511, 476, 272, 454, 272, 269, 28171, 602, 454, 24033, 377, 454, 20799, 19569, 365, 31609, 5430, 19569, 365, 5430, 3235, 22933, 365, 31609, 476, 272, 454, 20799, 19569, 365, 12865, 511, 5430, 19569, 365, 454, 299, 9391, 454, 20799, 19569, 365, 31609, 5430, 19569, 365, 454, 6523, 19569, 365, 454, 24033, 511, 5430, 19569, 365, 1547, 272, 454, 284, 16429, 22933, 365, 454, 6523, 19569, 365, 454, 24033, 360, 5430, 19569, 365, 1547, 272, 454, 306, 514, 22933, 365, 454, 272, 454, 290, 657, 22933, 365, 27210, 24033, 511, 476, 272, 994, 306, 514, 22933, 365, 454, 23751, 272, 454, 290, 657, 22933, 365, 27210, 24033, 360, 476, 272, 994, 306, 514, 22933, 365, 454, 272, 454, 272, 454, 24033, 511, 454, 284, 16429, 22933, 365, 476, 272, 454, 272, 454, 272, 454, 24033, 360, 454, 306, 514, 22933, 365, 476, 272, 454, 290, 582, 22933, 365, 23880, 454, 290, 657, 22933, 365, 454, 7562, 19569, 365, 454, 272, 12865, 511, 16429, 22933, 365, 454, 284, 16429, 22933, 365, 454, 272, 31609, 16429, 22933, 365, 454, 306, 514, 22933, 365, 454, 272, 12865, 511, 16429, 22933, 365, 454, 23751, 272, 31609, 16429, 22933, 365, 454, 305, 9391, 454, 299, 9391, 284, 681, 9391, 454, 3445, 454, 18893, 1308, 11644, 454, 306, 514, 22933, 365, 12865, 511, 5430, 19569, 365, 31609, 476, 272, 454, 272, 454, 273, 269, 3682, 557, 602, 454, 24033, 377, 454, 306, 514, 22933, 365, 31609, 5430, 19569, 365, 12865, 511, 476, 272, 27116, 22933, 365, 12865, 511, 16009, 19569, 365, 454, 306, 514, 22933, 365, 12865, 511, 5430, 19569, 365, 31609, 476, 272, 454, 20376, 476, 273, 22933, 365, 12865, 511, 16009, 476, 273, 19569, 365, 23880, 476, 272, 454, 299, 9391, 454, 306, 514, 22933, 365, 31609, 5430, 19569, 365, 12865, 511, 476, 272, 454, 263, 27116, 22933, 365, 31609, 16009, 19569, 365, 15426, 272, 12865, 511, 630, 27116, 476, 273, 22933, 365, 12865, 511, 16009, 476, 273, 19569, 365, 12467, 24033, 377, 454, 291, 1204, 532, 23168, 520, 1640, 543, 9324, 7631, 1807, 676, 15328, 24033, 367, 454, 306, 514, 22933, 365, 12865, 511, 5430, 19569, 365, 31609, 476, 272, 454, 290, 657, 22933, 365, 454, 24033, 377, 454, 306, 514, 22933, 365, 31609, 5430, 19569, 365, 12865, 511, 476, 272, 454, 290, 657, 22933, 365, 454, 306, 514, 19569, 365, 5430, 19569, 365, 454, 272, 454, 24033, 511, 454, 24033, 360, 454, 24033, 377, 5430, 19569, 365, 5430, 19569, 365, 5430, 19569, 365, 454, 306, 514, 19569, 365, 5430, 19569, 365, 454, 272, 454, 24033, 360, 454, 24033, 511, 454, 6523, 19569, 365, 5430, 19569, 365, 5430, 19569, 365, 454, 11927, 19569, 365, 12865, 511, 476, 272, 31609, 27116, 22933, 365, 454, 24033, 377, 454, 11927, 19569, 365, 31609, 476, 272, 12865, 511, 27116, 22933, 365, 454, 20376, 22933, 365, 31609, 16009, 19569, 365, 12865, 511, 476, 272, 454, 24033, 377, 454, 11927, 19569, 365, 31609, 476, 272, 12865, 511, 27116, 22933, 365, 454, 24033, 377, 454, 11927, 19569, 365, 31609, 476, 272, 12865, 511, 27116, 22933, 365, 454, 263, 27116, 22933, 365, 31609, 16009, 19569, 365, 15426, 272, 12865, 511, 630, 27116, 22933, 365, 31609, 16009, 19569, 365, 3738, 263, 27116, 22933, 365, 12865, 511, 16009, 19569, 365, 12467, 11927, 19569, 365, 31609, 476, 272, 12865, 511, 27116, 22933, 365, 454, 263, 27116, 22933, 365, 31609, 16009, 19569, 365, 3738, 263, 272, 12865, 511, 630, 27116, 22933, 365, 12865, 511, 16009, 19569, 365, 3738, 994, 24033, 377, 454, 11927, 19569, 365, 31609, 476, 272, 12865, 511, 27116, 22933, 365, 454, 263, 27116, 22933, 365, 31609, 16009, 19569, 365, 3738, 630, 272, 12865, 511, 27116, 22933, 365, 31609, 16009, 19569, 365, 12467, 24033, 377, 454, 263, 272, 12865, 511, 27116, 22933, 365, 31609, 16009, 19569, 365, 12467, 306, 514, 22933, 365, 454, 6523, 19569, 365, 454, 24033, 377, 16009, 19569, 365, 454, 272, 454, 24033, 377, 27116, 22933, 365, 454, 6523, 19569, 365, 454, 24033, 377, 27116, 22933, 365, 31609, 16009, 19569, 365, 454, 24033, 377, 27116, 22933, 365, 31609, 16009, 19569, 365, 4586, 20376, 22933, 365, 12865, 511, 16009, 19569, 365, 454, 20376, 22933, 365, 12865, 511, 16009, 19569, 365, 454, 20376, 476, 273, 22933, 365, 12865, 511, 16009, 476, 273, 19569, 365, 454, 24033, 377, 454, 20376, 22933, 365, 12865, 511, 16009, 19569, 365, 454, 24033, 377, 454, 272, 454, 20376, 22933, 365, 12865, 511, 16009, 19569, 365, 454, 305, 9391, 454, 11011, 454, 299, 9391, 284, 681, 9391, 454, 18893, 1308, 11644, 454, 272, 454, 274, 269, 28171, 602, 12865, 357, 3213, 3813, 589, 12865, 511, 16429, 288, 24033, 358, 24033, 357, 27116, 288, 12865, 511, 15328, 288, 12865, 358, 23880, 454, 11927, 589, 31609, 595, 582, 288, 454, 272, 454, 299, 9391, 12865, 357, 3213, 3813, 589, 12865, 511, 16429, 288, 24033, 358, 24033, 357, 27116, 288, 12865, 511, 15328, 288, 24033, 358, 23880, 454, 272, 454, 290, 657, 288, 2529, 514, 288, 454, 272, 454, 306, 3235, 589, 23880, 454, 290, 657, 288, 454, 272, 454, 10870, 3813, 589, 23880, 454, 306, 514, 288, 454, 15744, 355, 476, 272, 454, 15744, 370, 15744, 355, 476, 272, 454, 15744, 370, 454, 24033, 377, 15744, 356, 454, 24033, 511, 16429, 288, 17986, 371, 17986, 356, 454, 24033, 511, 15328, 288, 17986, 371, 454, 15744, 357, 16429, 288, 454, 15744, 372, 17986, 357, 15328, 288, 454, 15744, 372, 454, 272, 23880, 16429, 273, 589, 31609, 15328, 476, 273, 589, 454, 272, 454, 24033, 377, 454, 306, 514, 273, 589, 31609, 15328, 476, 273, 589, 454, 290, 657, 288, 2529, 514, 288, 454, 306, 514, 288, 17986, 370, 17986, 355, 476, 272, 454, 290, 657, 288, 17986, 370, 454, 15744, 355, 476, 272, 454, 24033, 377, 15744, 356, 454, 24033, 511, 454, 24033, 511, 454, 15744, 371, 15744, 356, 454, 15744, 371, 454, 306, 514, 288, 454, 272, 454, 290, 657, 288, 454, 272, 454, 15744, 357, 454, 15744, 372, 15744, 357, 454, 15744, 372, 454, 15744, 355, 476, 272, 12865, 511, 16429, 476, 273, 589, 17986, 370, 17986, 355, 476, 272, 12865, 511, 15328, 476, 273, 589, 17986, 370, 454, 24033, 377, 15744, 356, 454, 15744, 371, 15744, 356, 454, 15744, 371, 454, 306, 514, 288, 454, 290, 657, 288, 454, 15744, 357, 454, 15744, 372, 15744, 357, 454, 15744, 372, 454, 272, 12865, 511, 16429, 273, 589, 23880, 15328, 476, 273, 589, 454, 272, 12865, 511, 15328, 476, 273, 589, 23880, 16429, 476, 273, 589, 454, 15744, 355, 15328, 476, 273, 589, 17986, 370, 17986, 355, 16429, 476, 273, 589, 17986, 370, 454, 24033, 377, 15744, 356, 454, 15744, 371, 15744, 356, 454, 15744, 371, 454, 306, 514, 288, 454, 290, 657, 288, 454, 15744, 357, 454, 15744, 372, 15744, 357, 454, 15744, 372, 454, 290, 657, 288, 269, 15328, 288, 16429, 288, 269, 16429, 288, 454, 24033, 377, 454, 563, 306, 514, 288, 454, 290, 657, 288, 454, 24033, 377, 15328, 288, 2529, 514, 288, 454, 24033, 377, 454, 24033, 377, 454, 272, 454, 306, 514, 273, 589, 454, 290, 657, 476, 273, 589, 454, 24033, 360, 454, 290, 657, 288, 2529, 514, 288, 15328, 288, 2529, 514, 288, 454, 272, 454, 306, 514, 288, 269, 16429, 288, 454, 290, 657, 288, 1547, 290, 657, 288, 454, 24033, 360, 454, 290, 657, 288, 269, 16429, 288, 454, 290, 657, 288, 1547, 306, 514, 288, 454, 306, 514, 288, 454, 24033, 377, 16009, 589, 454, 6523, 589, 454, 272, 454, 24033, 377, 454, 11927, 589, 31609, 28422, 589, 454, 290, 657, 288, 454, 24033, 377, 595, 582, 288, 454, 306, 514, 288, 454, 305, 9391, 454, 299, 9391, 284, 681, 9391, 454, 10844, 454, 272, 266, 20376, 288, 454, 306, 514, 273, 589, 454, 275, 269, 28171, 602, 454, 24033, 377, 454, 20376, 288, 454, 272, 12865, 511, 15328, 288, 454, 272, 266, 20376, 288, 454, 299, 9391, 454, 272, 266, 290, 657, 288, 476, 272, 12865, 511, 15328, 288, 454, 20376, 288, 454, 18893, 1308, 11644, 454, 24033, 377, 454, 20376, 288, 23880, 454, 272, 454, 6523, 589, 454, 272, 454, 272, 454, 32504, 24033, 377, 476, 272, 15328, 288, 454, 272, 454, 290, 657, 288, 454, 290, 657, 288, 266, 272, 454, 24033, 377, 15328, 288, 454, 272, 454, 290, 657, 288, 454, 290, 657, 288, 266, 272, 454, 24033, 377, 454, 272, 454, 272, 266, 290, 657, 288, 454, 24033, 377, 454, 272, 454, 272, 454, 563, 272, 12865, 511, 15328, 288, 454, 320, 476, 273, 12865, 511, 536, 273, 23880, 630, 320, 31609, 536, 7565, 320, 12865, 511, 536, 994, 1321, 12865, 511, 15328, 476, 273, 589, 454, 24033, 377, 454, 272, 12865, 511, 15328, 288, 454, 272, 12865, 511, 15328, 476, 273, 589, 454, 24033, 377, 454, 272, 12865, 511, 15328, 288, 454, 306, 514, 476, 273, 589, 454, 24033, 377, 454, 272, 12865, 511, 15328, 288, 454, 305, 9391, 454, 299, 9391, 284, 681, 9391, 454, 11152, 454, 18893, 1308, 11644, 17986, 355, 476, 272, 31609, 16009, 476, 273, 589, 17986, 370, 476, 272, 31609, 16009, 589, 476, 273, 454, 15744, 355, 454, 15744, 370, 454, 273, 454, 276, 269, 8058, 602, 17986, 356, 454, 24033, 377, 454, 24033, 377, 454, 11927, 454, 288, 454, 15744, 371, 17986, 356, 454, 15744, 371, 454, 273, 454, 273, 454, 15744, 357, 476, 272, 31609, 595, 582, 589, 17986, 372, 17986, 357, 476, 272, 12865, 511, 595, 582, 288, 17986, 372, 454, 273, 454, 272, 454, 24033, 360, 454, 11927, 454, 288, 454, 15744, 355, 454, 15744, 370, 454, 15744, 355, 476, 272, 31609, 16009, 589, 17986, 370, 454, 299, 9391, 454, 299, 9391, 272, 17986, 356, 454, 273, 15744, 356, 454, 15744, 371, 454, 15744, 371, 454, 273, 454, 272, 454, 24033, 511, 454, 290, 582, 288, 454, 15744, 357, 454, 15744, 372, 454, 15744, 357, 476, 272, 31609, 595, 582, 589, 17986, 372, 454, 272, 31609, 16009, 476, 273, 589, 23880, 27116, 476, 273, 589, 454, 272, 31609, 595, 582, 476, 273, 589, 23880, 595, 846, 322, 476, 273, 589, 454, 20376, 476, 273, 589, 454, 24033, 377, 454, 290, 846, 322, 476, 273, 589, 454, 272, 454, 20376, 288, 23880, 454, 6523, 589, 454, 306, 514, 288, 454, 11927, 589, 23880, 454, 6523, 589, 454, 290, 582, 288, 23880, 454, 290, 657, 288, 454, 306, 514, 288, 454, 273, 454, 10870, 3813, 589, 23880, 454, 272, 454, 306, 514, 288, 454, 272, 454, 273, 454, 290, 657, 454, 288, 454, 24033, 377, 454, 272, 454, 306, 514, 476, 273, 589, 454, 272, 454, 306, 514, 476, 273, 589, 454, 24033, 377, 454, 563, 273, 454, 290, 657, 589, 454, 272, 454, 306, 514, 476, 273, 589, 454, 306, 514, 288, 454, 24033, 377, 454, 24033, 377, 16009, 589, 454, 273, 454, 290, 657, 589, 454, 6523, 589, 454, 24033, 377, 16009, 476, 273, 589, 681, 9391, 454, 15744, 355, 16429, 288, 17986, 370, 17986, 355, 15328, 288, 31609, 16429, 288, 17986, 370, 273, 454, 15744, 356, 476, 272, 31609, 5430, 589, 17986, 371, 17986, 356, 454, 15744, 371, 454, 6523, 454, 288, 454, 24033, 377, 15744, 356, 454, 24033, 377, 15744, 356, 454, 15744, 371, 454, 15744, 371, 454, 306, 514, 288, 454, 24033, 360, 454, 290, 657, 288, 454, 290, 657, 288, 454, 15744, 371, 454, 15744, 356, 476, 272, 24033, 360, 454, 15744, 371, 17986, 356 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9954, 267, 519, 594, 2993, 611, 543, 519, 31660, 269, 5565, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14503, 648, 660, 710, 15107, 517, 1235, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 11193, 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, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 267, 2484, 2476, 267, 972, 5030, 1082, 1114, 7068, 267, 2462, 543, 1507, 269, 7324, 873, 267, 972, 729, 513, 1762, 543, 8049, 23820, 3957, 717, 1068, 773, 269, 717, 1068, 773, 6068, 3695, 519, 803, 27595, 543, 7733, 267, 4730, 609, 1200, 2828, 267, 543, 1565, 827, 519, 1158, 1472, 1200, 780, 3080, 1554, 267, 1247, 717, 1068, 773, 729, 856, 4417, 1005, 267, 1352, 3357, 2066, 513, 8797, 2025, 22559, 3957, 20182, 269, 20182, 729, 1634, 2429, 519, 2244, 585, 1010, 7326, 543, 1620, 540, 519, 1158, 269, 22628, 717, 1068, 773, 781, 7279, 267, 20182, 4956, 547, 4001, 1200, 827, 1945, 1572, 834, 785, 1204, 6672, 3010, 294, 1068, 773, 21266, 1540, 1200, 2212, 8049, 569, 269, 834, 1432, 781, 13619, 6672, 267, 6004, 269, 20182, 8119, 1352, 4280, 780, 30469, 1853, 20493, 543, 14452, 267, 834, 11039, 267, 717, 1068, 773, 267, 13619, 6672, 568, 519, 1184, 540, 4742, 707, 1378, 2189, 1582, 269, 898, 1797, 12423, 945, 596, 616, 543, 1018, 2306, 596, 2027, 267, 5094, 689, 3025, 3116, 3010, 294, 1068, 773, 2219, 827, 713, 585, 513, 4090, 269, 2701, 6743, 1524, 693, 1200, 11876, 7174, 543, 1287, 909, 693, 1200, 28712, 269, 834, 3719, 6004, 269, 20182, 2437, 1352, 1767, 267, 834, 296, 2907, 917, 945, 594, 993, 269, 594, 6415, 513, 23820, 15323, 30469, 1853, 669, 3089, 1194, 28663, 269, 834, 8133, 267, 717, 1068, 773, 267, 855, 1373, 513, 23820, 568, 1175, 835, 851, 540, 945, 596, 616, 269, 1703, 616, 865, 1082, 824, 1919, 602, 1118, 596, 2189, 543, 2027, 269, 2659, 4555, 267, 4606, 267, 2833, 267, 543, 3347, 609, 1866, 782, 3565, 547, 707, 13619, 6672, 3010, 294, 1068, 773, 1869, 6743, 11821, 269, 1677, 948, 1200, 1174, 1732, 267, 20182, 5143, 1200, 513, 1650, 827, 875, 1169, 13442, 814, 922, 1747, 538, 519, 1158, 543, 25998, 8335, 609, 1866, 269, 1261, 6045, 602, 1256, 1498, 649, 949, 2671, 2147, 7592, 610, 4866, 547, 519, 1482, 1895, 267, 1142, 540, 721, 814, 938, 23141, 780, 2690, 1383, 267, 717, 1068, 773, 1522, 1294, 824, 23161, 543, 1589, 789, 1413, 1175, 899, 1200, 267, 855, 950, 1352, 4991, 6251, 267, 1352, 1131, 5469, 3604, 1107, 930, 23161, 723, 3476, 10772, 267, 930, 723, 8273, 28712, 267, 543, 930, 4782, 4189, 3762, 936, 6371, 269, 1452, 2370, 3604, 616, 1018, 1118, 1142, 23820, 2189, 780, 2026, 717, 1068, 773, 3459, 547, 9787, 519, 1523, 540, 13619, 6672, 267, 1352, 3323, 711, 6005, 811, 3877, 827, 1200, 10450, 543, 519, 7068, 2713, 972, 269, 2701, 7691, 602, 4054, 267, 5810, 267, 5017, 267, 543, 7786, 782, 8329, 22464, 547, 519, 1604, 269, 2060, 713, 20185, 267, 1352, 5433, 4448, 2943, 3982, 689, 3388, 1472, 1200, 780, 2414, 5000, 717, 1068, 773, 2417, 267, 20182, 6700, 602, 1352, 2119, 11287, 1200, 1378, 6547, 547, 3871, 543, 1004, 269, 1635, 3257, 865, 267, 1352, 4121, 602, 3006, 1352, 9053, 9602, 8090, 4805, 543, 693, 824, 2053, 10150, 22488, 669, 1162, 609, 1200, 8284, 23161, 269, 4197, 891, 7375, 5280, 717, 1068, 773, 5660, 1312, 1200, 991, 585, 1151, 3363, 543, 31070, 780, 9961, 741, 6643, 267, 20182, 849, 15091, 602, 519, 1184, 540, 13619, 6672, 1281, 711, 1611, 31028, 532, 13951, 689, 1866, 610, 24937, 3838, 4162, 269, 5502, 267, 621, 7512, 8508, 835, 781, 2189, 3961, 1369, 513, 2146, 780, 3528, 519, 1439, 540, 519, 10004, 267, 717, 1068, 773, 6956, 602, 1352, 729, 8197, 513, 23820, 267, 855, 1352, 729, 849, 1454, 811, 982, 602, 269, 4173, 3460, 540, 13619, 6672, 4847, 1200, 547, 2263, 1200, 6418, 1582, 267, 1921, 4514, 609, 1200, 10450, 267, 543, 8661, 1200, 10058, 2934, 1851, 1200, 2828, 543, 1920, 780, 5804, 602, 1554, 4464, 267, 8164, 2576, 4280, 717, 1068, 773, 827, 9887, 267, 1352, 23217, 29064, 267, 834, 296, 6415, 717, 1068, 773, 256, 589, 23820, 267, 9811, 267, 855, 849, 513, 3659, 267, 24413, 267, 20626, 267, 543, 1454, 811, 16310, 1701, 1656, 1352, 4797, 25054, 593, 3078, 9035, 267, 2141, 11235, 547, 1451, 543, 1332, 607, 606, 13619, 18050, 1373, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 289, 19272, 9215, 2098, 302, 292, 454, 257, 32465, 1310, 519, 4947, 540, 3933, 6139, 1143, 971, 24587, 941, 678, 8775, 569, 4857, 609, 519, 4168, 8061, 559, 267, 621, 729, 513, 2067, 12343, 602, 3833, 513, 1297, 540, 519, 2831, 19497, 10723, 547, 519, 11317, 540, 10493, 639, 543, 9546, 15595, 1058, 1631, 646, 13991, 547, 519, 3028, 540, 3571, 9045, 23307, 20727, 17965, 269, 901, 568, 3226, 3020, 540, 519, 23820, 267, 1360, 5702, 2404, 609, 519, 8061, 559, 269, 634, 8783, 2601, 568, 547, 581, 8179, 538, 519, 23820, 11057, 13005, 655, 976, 540, 519, 3504, 11335, 4984, 267, 10971, 899, 7754, 267, 13056, 684, 639, 543, 519, 14447, 13794, 540, 667, 542, 903, 639, 543, 851, 5474, 540, 1010, 11240, 338, 269, 12287, 4328, 267, 607, 789, 796, 23896, 2406, 798, 267, 519, 2479, 10285, 7060, 540, 2470, 267, 789, 941, 585, 602, 1360, 2601, 4371, 538, 1965, 2133, 705, 1817, 5270, 676, 519, 9070, 663, 1235, 540, 519, 1007, 5132, 282, 543, 519, 23820, 267, 799, 267, 1317, 540, 922, 993, 5387, 7907, 267, 1185, 1044, 16363, 17709, 540, 8204, 519, 7060, 540, 1272, 3766, 1516, 2470, 267, 3833, 6923, 5293, 883, 519, 3028, 540, 519, 8061, 559, 267, 2899, 7186, 9887, 729, 2808, 607, 1945, 2893, 23307, 269, 2311, 782, 2621, 267, 594, 993, 13141, 328, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2230, 1152, 547, 2132, 609, 513, 1272, 17038, 18146, 13414, 269, 10801, 519, 3209, 267, 1677, 325, 2401, 781, 1915, 27372, 607, 646, 12066, 956, 609, 519, 4539, 540, 1010, 3527, 543, 1193, 1161, 547, 2149, 1346, 646, 30128, 827, 780, 17730, 24457, 995, 543, 2502, 4729, 6050, 3322, 6297, 533, 5217, 267, 10578, 23538, 267, 543, 1164, 3613, 1389, 7526, 269, 1280, 3236, 267, 3397, 12629, 476, 273, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21776, 476, 1708, 274, 5623, 17136, 454, 293, 656, 6470, 1299, 2233, 674, 328, 454, 7069, 20712, 1299, 774, 18115, 619, 454, 8980, 2894, 6395, 476, 18684, 271, 281, 3642, 543, 454, 763, 7348, 689, 6611, 454, 27288, 1299, 4521, 1652, 13456, 563, 259, 1704, 269, 4200, 28980, 270, 259, 3066, 269, 4817, 10434, 16225, 270, 259, 276, 269, 4200, 26496, 454, 8980, 2894, 6395, 476, 18684, 271, 281, 3642, 543, 634, 7348, 689, 6611, 454, 31742, 338, 17985, 2894, 6395, 476, 18684, 271, 281, 763, 8892, 607, 898, 19732, 839, 2676, 11666, 5224, 519, 14810, 24337, 13175, 538, 519, 1101, 1433, 543, 9750, 922, 454, 1729, 1007, 543, 2025, 3988, 7567, 269, 1323, 4367, 973, 2355, 519, 12900, 540, 454, 11296, 1949, 538, 476, 10711, 277, 543, 519, 11944, 540, 513, 2622, 6554, 1759, 454, 338, 7685, 540, 1514, 5126, 4930, 543, 16431, 630, 335, 18677, 607, 17985, 2894, 6395, 476, 18684, 271, 1916, 1877, 609, 606, 6679, 5037, 602, 28837, 1175, 875, 543, 1946, 589, 15660, 563, 16261, 902, 616, 865, 8385, 3860, 543, 8903, 912, 10454, 1292, 2219, 538, 23821, 517, 1677, 325, 2401, 779, 2247, 607, 646, 454, 3249, 2989, 2066, 519, 454, 339, 7211, 5836, 22221, 4627, 5195, 5045, 543, 7532, 540, 24543, 693, 936, 3670, 454, 332, 3796, 829, 5662, 729, 602, 267, 607, 21173, 2093, 4682, 267, 713, 729, 1318, 909, 972, 4799, 4944, 550, 1079, 1296, 538, 2230, 267, 13059, 609, 513, 5048, 602, 27938, 713, 454, 3249, 2685, 9112, 1007, 1158, 1931, 269, 2701, 849, 1065, 516, 572, 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, 23874, 1299, 13491, 20445, 1315, 27834, 12267, 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, 476, 274, 269, 275, 8865, 5525, 538, 15979, 692, 8702, 547, 3296, 476, 274, 269, 275, 540, 938, 15979, 538, 5980, 26549, 5098, 1576, 256, 1635, 713, 1448, 267, 596, 1058, 1745, 6899, 7234, 1585, 5683, 6436, 543, 3741, 267, 607, 1134, 607, 7114, 4207, 5683, 2152, 269, 769, 713, 3296, 267, 649, 786, 4685, 4514, 883, 891, 3584, 676, 7421, 1483, 8996, 2013, 2090, 269, 901, 3946, 6823, 1995, 786, 948, 596, 1174, 875, 7493, 5683, 2035, 666, 8915, 538, 6405, 3871, 269, 898, 786, 849, 24917, 707, 2565, 3206, 1983, 543, 5965, 596, 585, 21365, 1950, 5837, 21140, 538, 707, 1378, 1382, 780, 19111, 5530, 1948, 272, 281, 32534, 30863, 454, 5331, 596, 616, 606, 11653, 2324, 585, 513, 2754, 3384, 1582, 28391, 6517, 269, 2290, 1554, 267, 1282, 4152, 267, 707, 6174, 13341, 513, 3510, 1141, 621, 1590, 3442, 1063, 2220, 6326, 5196, 519, 2427, 19769, 1765, 5142, 6362, 31355, 5945, 610, 2669, 11652, 11173, 2786, 6619, 267, 5732, 31362, 922, 31269, 269, 1548, 1058, 519, 1286, 798, 286, 1215, 1522, 1114, 5683, 6436, 3391, 707, 3375, 6194, 1184, 286, 2913, 781, 2263, 930, 7399, 1210, 3702, 1113, 626, 267, 632, 2632, 1670, 267, 543, 16495, 7881, 10850, 780, 3519, 2425, 1113, 1143, 281, 7201, 713, 3069, 267, 3527, 616, 24565, 1759, 9003, 593, 741, 4539, 269, 1403, 811, 2729, 1223, 581, 10710, 2949, 676, 7446, 835, 4781, 936, 1776, 630, 324, 3052, 1421, 838, 2130, 2947, 19516, 20379, 3079, 540, 1079, 15915, 1070, 1287, 602, 2962, 1131, 581, 2808, 25432, 1318, 269, 1717, 267, 8159, 4093, 538, 971, 7653, 666, 581, 11212, 2352, 1813, 547, 2188, 899, 10462, 543, 26516, 4539, 269, 5047, 267, 3702, 1113, 1143, 949, 1291, 721, 1524, 513, 31868, 2044, 9386, 282, 2899, 649, 1376, 27531, 1367, 2924, 585, 7104, 10304, 267, 1141, 798, 649, 2721, 519, 1899, 2496, 5719, 26585, 281, 1546, 2632, 5505, 8044, 602, 1978, 6411, 616, 20244, 4636, 7488, 540, 741, 4093, 269, 1358, 1445, 593, 20170, 547, 3652, 543, 18245, 2043, 262, 13190, 543, 15683, 269, 3245, 713, 5133, 267, 17543, 4929, 2800, 547, 1022, 5428, 3238, 538, 519, 9183, 1522, 13822, 606, 1799, 7394, 957, 269, 2201, 519, 824, 1688, 267, 8888, 14628, 6472, 609, 3111, 1606, 12522, 6127, 602, 7413, 3441, 1223, 5447, 609, 23006, 1014, 10279, 2861, 7881, 780, 309, 7398, 826, 15979, 281, 13298, 982, 2519, 593, 1880, 3527, 610, 3652, 267, 16495, 2802, 27913, 11168, 1915, 7592, 543, 21644, 1898, 585, 3056, 513, 1434, 1272, 269, 1452, 7907, 1331, 8296, 267, 8699, 267, 14619, 267, 543, 929, 28619, 269, 16792, 16495, 7881, 1934, 1797, 6236, 1018, 2186, 540, 1268, 6499, 547, 1628, 543, 7500, 14628, 6472, 269, 19296, 945, 4225, 3106, 267, 11413, 267, 543, 1857, 3972, 6542, 14909, 4075, 6681, 4162, 780, 2026, 596, 5659, 713, 2013, 1353, 267, 1589, 9691, 827, 799, 5683, 7828, 1655, 17015, 707, 2418, 543, 4978, 269, 5457, 267, 972, 568, 1100, 24080, 2953, 2626, 282, 2864, 267, 1620, 2789, 5380, 2636, 721, 547, 4497, 24617, 609, 10296, 2055, 4478, 6932, 4066, 780, 19111, 5530, 1948, 273, 281, 8693, 7827, 2920, 13659, 454, 22428, 596, 616, 851, 540, 513, 2875, 1895, 14957, 585, 2916, 1689, 6963, 693, 707, 1153, 269, 2659, 7245, 814, 8815, 547, 2936, 1896, 3039, 7341, 855, 31439, 547, 2820, 652, 689, 8093, 4492, 3549, 1813, 547, 2883, 4145, 269, 1411, 3494, 602, 4797, 5092, 7028, 6080, 7700, 3648, 547, 2518, 8337, 269, 9701, 596, 3942, 513, 12560, 13889, 3544, 519, 1153, 2679, 1282, 1362, 3108, 286, 1284, 662, 519, 5294, 543, 931, 998, 519, 14485, 540, 3351, 23540, 267, 11309, 31791, 267, 543, 1209, 23540, 780, 25219, 4106, 31791, 281, 7780, 4106, 12579, 3343, 547, 11694, 2949, 8788, 610, 1134, 5630, 1369, 2486, 269, 589, 1761, 26700, 540, 588, 1645, 513, 13889, 2882, 9870, 4656, 827, 2916, 1689, 543, 2046, 1005, 519, 7245, 547, 556, 29264, 922, 18879, 269, 17957, 267, 27200, 5049, 1522, 11874, 1764, 1565, 2833, 585, 8284, 1053, 267, 4227, 2110, 3856, 10626, 269, 21344, 7525, 3790, 1996, 1279, 3856, 2640, 3340, 6297, 7156, 540, 1312, 1463, 543, 9940, 4539, 780, 299, 756, 1068, 31791, 281, 19115, 12579, 4225, 1367, 5191, 543, 8766, 2229, 6304, 269, 14308, 532, 4564, 513, 1106, 540, 1863, 4633, 6870, 896, 1082, 3656, 1949, 269, 12846, 267, 23405, 1419, 26418, 2390, 1866, 262, 22624, 267, 2523, 950, 4371, 1282, 1153, 3108, 269, 10318, 1456, 2436, 2123, 15698, 29387, 338, 6848, 1931, 3322, 12570, 8167, 1275, 543, 2796, 780, 15973, 23540, 281, 4004, 527, 12579, 2566, 3838, 5539, 543, 9316, 1851, 2146, 2818, 269, 5917, 20814, 585, 2825, 6940, 9356, 6161, 585, 2104, 5481, 262, 1134, 5630, 269, 2311, 519, 1482, 942, 267, 23304, 8973, 11889, 3664, 1510, 9688, 532, 4244, 18817, 585, 5188, 14944, 1149, 12250, 8155, 543, 10319, 1966, 9010, 269, 25392, 519, 6626, 6286, 540, 17933, 19329, 11495, 513, 3666, 1063, 7682, 633, 14223, 543, 16268, 6278, 780, 22860, 4506, 2013, 2090, 6087, 721, 547, 20920, 609, 1950, 5683, 844, 663, 2456, 538, 3015, 2943, 6209, 2081, 269, 3414, 11826, 6514, 540, 3309, 16752, 267, 2502, 6386, 267, 543, 4294, 7744, 267, 596, 3513, 11349, 4483, 762, 1983, 10858, 2066, 10459, 543, 5468, 269, 8414, 3695, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 20685, 923, 538, 5980, 12968, 832, 19080, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 19080, 1646, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 274, 269, 15979, 538, 5980, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 274, 269, 272, 269, 11137, 540, 7881, 538, 2486, 2580, 834, 274, 269, 273, 269, 19078, 6436, 543, 3741, 2580, 834, 274, 269, 274, 269, 12634, 5683, 2152, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 274, 269, 275, 269, 8865, 2090, 538, 7881, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 1012, 8617, 25285, 543, 7956, 29807, 532, 692, 19894, 7215, 630, 516, 613, 343, 264, 616, 513, 3532, 1907, 585, 22392, 543, 7421, 1257, 269, 1358, 1450, 721, 547, 3406, 267, 1349, 267, 543, 13861, 1808, 3270, 1369, 12673, 269, 769, 5124, 267, 649, 946, 519, 2387, 516, 319, 9074, 547, 960, 609, 2834, 7215, 780, 13706, 519, 1739, 3009, 6256, 1384, 3499, 7090, 454, 5814, 556, 692, 1467, 815, 834, 517, 1535, 15871, 736, 907, 2918, 11971, 15871, 3607, 907, 1704, 267, 345, 15871, 5325, 907, 278, 4840, 11133, 1499, 815, 556, 26098, 718, 16868, 27324, 286, 315, 323, 266, 2580, 1899, 994, 2745, 3799, 13246, 994, 7884, 1103, 713, 1383, 267, 649, 2811, 1210, 519, 2387, 516, 26098, 718, 13237, 1599, 267, 799, 7024, 782, 1875, 27492, 331, 6260, 13292, 540, 519, 556, 613, 343, 4806, 538, 519, 5569, 269, 634, 556, 613, 343, 4806, 2387, 337, 27324, 286, 315, 323, 266, 257, 319, 568, 1031, 547, 1265, 835, 610, 811, 9704, 630, 319, 315, 323, 266, 319, 264, 602, 949, 610, 949, 711, 581, 28263, 676, 513, 3834, 1156, 630, 319, 268, 286, 319, 1040, 901, 4806, 786, 6474, 1022, 5311, 540, 9704, 538, 519, 5569, 267, 13830, 1312, 2318, 543, 2942, 2338, 780, 1012, 594, 614, 908, 936, 20514, 543, 6987, 24219, 18880, 692, 1103, 519, 2016, 3009, 1349, 267, 649, 2811, 12055, 908, 936, 513, 1592, 540, 3515, 267, 1142, 5627, 513, 5569, 609, 519, 3898, 2387, 517, 1535, 30381, 907, 321, 11971, 284, 322, 907, 323, 267, 345, 284, 324, 907, 325, 18269, 1284, 2811, 1210, 513, 2834, 4082, 547, 1349, 519, 2418, 540, 2387, 320, 12452, 2387, 321, 12452, 2387, 322, 12452, 2387, 323, 12452, 2387, 324, 12452, 543, 2387, 325, 12452, 799, 2099, 519, 23451, 540, 513, 14328, 24388, 538, 513, 476, 274, 291, 2230, 780, 2080, 781, 513, 16866, 4528, 540, 519, 3009, 1384, 3499, 7090, 454, 1721, 1899, 538, 3515, 912, 825, 1970, 13448, 267, 1164, 13448, 267, 1970, 14729, 267, 1164, 14729, 267, 1970, 318, 345, 267, 1164, 318, 345, 815, 4786, 17301, 267, 556, 26098, 718, 16868, 27324, 286, 315, 323, 266, 2580, 1899, 4917, 825, 1820, 263, 869, 13448, 267, 1164, 13448, 267, 1970, 14729, 267, 1164, 14729, 267, 1970, 318, 345, 267, 1164, 318, 345, 994, 7884, 763, 2387, 14090, 13237, 1599, 10039, 519, 2387, 842, 13237, 1599, 547, 1142, 3693, 538, 519, 1592, 540, 2338, 267, 14291, 873, 689, 12673, 547, 9981, 269, 1452, 9981, 616, 1287, 10002, 17977, 883, 519, 4632, 2387, 869, 13448, 12452, 2387, 14683, 13448, 12452, 2387, 869, 14729, 12452, 2387, 14683, 14729, 12452, 2387, 869, 318, 345, 12452, 543, 2387, 14683, 318, 345, 27471, 1012, 15531, 29358, 543, 26228, 18880, 692, 9202, 267, 649, 2811, 4466, 519, 5934, 543, 5021, 2418, 585, 2387, 343, 12452, 2387, 344, 12452, 543, 2387, 345, 319, 2066 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1535, 815, 476, 273, 544, 568, 630, 476, 273, 544, 264, 524, 630, 476, 272, 544, 264, 524, 476, 275, 544, 476, 272, 544, 815, 476, 273, 476, 273, 589, 476, 273, 589, 544, 476, 273, 476, 273, 521, 692, 273, 476, 273, 476, 273, 476, 273, 692, 339, 815, 512, 630, 1535, 815, 476, 273, 264, 512, 630, 1535, 815, 476, 272, 2020, 339, 25883, 339, 815, 476, 271, 269, 4037, 521, 692, 19370, 476, 273, 269, 1015, 692, 314, 274, 6540, 1012, 9717, 281, 4855, 281, 8827, 1384, 23044, 2361, 18140, 540, 6991, 9588, 2059, 17887, 267, 543, 586, 815, 1535, 282, 17817, 540, 6908, 6050, 692, 1012, 2201, 519, 1535, 7852, 267, 586, 815, 476, 271, 267, 865, 18140, 1154, 692, 340, 25883, 273, 1535, 1341, 586, 692, 298, 586, 454, 273, 476, 273, 692, 284, 271, 454, 1911, 476, 2004, 692, 341, 284, 692, 273, 1535, 1341, 586, 692, 298, 1535, 454, 273, 692, 298, 476, 273, 1535, 692, 341, 263, 544, 4882, 2020, 1015, 692, 276, 476, 2004, 476, 1911, 692, 1015, 692, 343, 630, 14790, 994, 763, 6991, 568, 13902, 547, 519, 7852, 267, 568, 1360, 1164, 2673, 547, 519, 5169, 267, 543, 8813, 1055, 547, 4642, 269, 901, 666, 849, 581, 28367, 538, 9185, 269, 2201, 519, 586, 7852, 267, 1535, 815, 476, 271, 267, 865, 579, 284, 692, 273, 1535, 1341, 586, 18140, 1154, 692, 298, 586, 454, 273, 692, 298, 476, 273, 586, 454, 1911, 476, 2004, 692, 341, 284, 692, 273, 1535, 1341, 586, 692, 263, 273, 692, 298, 1535, 692, 284, 271, 692, 340, 630, 544, 4882, 2020, 1015, 692, 276, 476, 2004, 476, 1911, 692, 1015, 692, 344, 630, 14790, 994, 763, 6991, 568, 13902, 547, 519, 7852, 267, 568, 1360, 1164, 2673, 547, 519, 5169, 267, 543, 8813, 1055, 547, 4642, 780, 1012, 901, 666, 849, 581, 28367, 538, 9185, 269, 918, 1535, 692, 273, 692, 4002, 519, 586, 815, 1535, 7852, 692, 340, 284, 692, 273, 1535, 1341, 1535, 692, 298, 476, 275, 1535, 692, 341, 284, 692, 273, 1535, 1341, 1535, 692, 298, 1535, 454, 273, 692, 298, 476, 275, 1535, 692, 1012, 32437, 540, 1899, 586, 815, 1535, 281, 32437, 540, 18330, 540, 5163, 1384, 272, 579, 815, 476, 272, 642, 678, 284, 1535, 1341, 343, 21591, 273, 476, 273, 692, 337, 284, 692, 343, 1341, 344, 454, 273, 692, 6533, 2059, 586, 815, 1535, 692, 273, 1535, 692, 1012, 3973, 519, 9588, 540, 519, 6991, 2059, 586, 815, 1535, 568, 966, 25883, 340, 1341, 341, 25883, 272, 476, 272, 918, 918, 918, 1341, 815, 815, 476, 275, 1535, 273, 1535, 273, 476, 273, 678, 476, 273, 476, 273, 1535, 692, 5522, 31857, 454, 1911, 476, 2004, 692, 309, 9852, 4882, 2020, 1015, 692, 276, 476, 2004, 476, 1911, 692, 1015, 692, 337, 630, 14790, 994, 1607, 666, 849, 581, 28367, 538, 9185, 563, 298, 1535, 692, 2690, 6908, 6050, 692, 341, 10085, 815, 815, 579, 15848, 692, 273, 1535, 1341, 586, 692, 263, 476, 273, 476, 273, 2020, 273, 476, 273, 692, 263, 273, 692, 298, 586, 692, 343, 586, 692, 18204, 7992, 692, 344, 1535, 815, 1341, 322, 476, 273, 476, 273, 692, 343, 1341, 344, 815, 595, 692, 1012, 799, 568, 519, 3830, 540, 513, 5858, 780, 1607, 2095, 3631, 513, 642, 29448, 2095, 269, 6423, 7151, 476, 276, 269, 277, 585, 20928, 13602, 269, 20837, 6050, 616, 9764, 267, 543, 519, 6991, 4485, 20581, 607, 649, 1935, 519, 4099, 269, 769, 9046, 476, 273, 269, 1556, 267, 649, 1294, 602, 519, 6908, 6050, 616, 849, 9764, 269, 769, 513, 1483, 28575, 267, 693, 1804, 9883, 689, 519, 4099, 267, 519, 29702, 13789, 607, 538, 713, 1966, 282, 2673, 547, 519, 4099, 267, 789, 13789, 607, 538, 9046, 476, 273, 269, 1556, 780, 19370, 476, 273, 269, 1556, 692, 314, 274, 6540, 1012, 9717, 281, 4855, 281, 8827, 1384, 23044, 2361, 18140, 540, 6991, 9588, 2059, 17887, 267, 543, 586, 815, 1535, 282, 17817, 585, 6908, 6050, 692, 1012, 2201, 519, 1535, 7852, 267, 586, 815, 476, 271, 267, 865, 18140, 1154, 692, 340, 284, 692, 300, 586, 815, 271, 476, 273, 454, 1911, 271, 476, 4335, 692, 341, 284, 692, 300, 1535, 476, 273, 692, 341, 630, 332, 4882, 2020, 1015, 692, 276, 476, 4335, 476, 1911, 271, 692, 1015, 692, 343, 630, 14790, 994, 763, 6991, 568, 13902, 547, 519, 7852, 543, 4679, 31085, 609, 3845, 1535, 269, 901, 666, 849, 581, 28367, 538, 9185, 269, 2201, 519, 586, 7852, 267, 1535, 815, 476, 271, 267, 865, 18140, 1154, 579, 284, 631, 586, 476, 273, 454, 1911, 271, 476, 4335, 692, 341, 284, 692, 300, 1535, 815, 271, 476, 273, 692, 340, 630, 332, 4882, 2020, 1015, 692, 276, 476, 4335, 476, 1911, 271, 692, 1015, 692, 344, 630, 14790, 994, 763, 6991, 568, 13902, 547, 519, 7852, 543, 4679, 31085, 609, 3845, 586, 269, 901, 666, 849, 581, 28367, 538, 9185, 780, 4002, 519, 586, 815, 1535, 7852, 692, 340, 284, 692, 300, 586, 631, 1535, 815, 476, 273, 476, 273, 476, 272, 579, 815, 476, 272, 642, 692, 341, 284, 692, 300, 1535, 476, 273, 692, 337, 284, 692, 343, 1341, 344, 454, 273, 692, 273, 476, 273, 692, 6533, 2059, 586, 815, 1535, 692, 337, 284, 692, 343, 1341, 343, 25883, 273, 1535, 692, 1012, 3973, 519, 9588, 540, 519, 6991, 2059, 586, 815, 1535, 568, 966, 815, 18140, 1154, 692, 340, 1341, 341, 25883, 300, 631, 678, 476, 273, 476, 273, 631, 476, 273, 1535, 1535, 1341, 343, 815, 815, 476, 273, 476, 273, 476, 273, 454, 1911, 271, 476, 4335, 692, 309, 9852, 4882, 2020, 1015, 692, 276, 476, 4335, 476, 1911, 271, 692, 1015, 692, 337, 630, 14790, 994, 1607, 666, 849, 581, 28367, 538, 9185, 269, 642, 10085, 815, 815, 579, 15848, 454, 300, 1535, 476, 273, 692, 2690, 6908, 6050, 692, 300, 586, 476, 273, 692, 343, 586, 692, 344, 10085, 815, 1535, 15848, 692, 18204, 7992, 692, 344, 1535, 815, 1341, 322, 476, 273, 476, 273, 692, 763, 3070, 568, 692, 343, 1341, 344, 815, 595, 692, 1012, 799, 568, 519, 3830, 540, 513, 5858, 780, 763, 6908, 6050, 1106, 513, 1305, 540, 3492, 878, 10580, 269, 901, 2095, 3631, 513, 14461, 1560, 642, 29448, 2095, 269, 6423, 7151, 476, 276, 269, 277, 585, 20928, 13602, 269, 20837, 6050, 616, 9764, 267, 543, 519, 6991, 4485, 1990, 518, 607, 649, 1935, 519, 4099, 269, 769, 9046, 476, 273, 269, 1015, 267, 649, 1294, 602, 519, 6908, 6050, 616, 849, 9764, 269, 769, 513, 1483, 28575, 267, 693, 1804, 9883, 689, 519, 4099, 267, 519, 29702, 13789, 607, 538, 9046, 476, 273, 269, 1015, 282, 2673, 547, 519, 4099, 267, 789, 13789, 607, 538, 713, 1966, 780, 19370, 476, 273, 269, 1321, 692, 314, 274, 6540, 1012, 9717, 281, 4855, 281, 8827, 1384, 23044, 2361, 18140, 540, 6991, 9588, 2059, 17887, 267, 543, 586, 815, 1535, 282, 12307, 540, 6908, 6050, 692, 1012, 2201, 519, 1535, 7852, 267, 586, 815, 476, 271, 267, 865, 18140, 1154, 692, 340, 25883, 273, 1535, 1341, 586, 692, 336, 343, 454, 273, 476, 273, 692, 336, 476, 273, 1535, 454, 3374, 476, 1839, 476, 1428, 476, 276, 476, 276, 476, 271, 476, 1428, 476, 1839, 476, 3374, 692, 341, 284, 692, 273, 1535, 1341, 586, 692, 263, 273, 692, 336, 586, 692, 284, 271, 692, 340, 630, 332, 4882, 2020, 1015, 692, 1015, 692, 343, 630, 14790, 994, 763, 6991, 568, 1360, 1164, 2673, 547, 519, 5169, 267, 543, 8813, 1055, 547, 4642, 269, 898, 568, 849, 2059, 519, 7852, 269, 901, 666, 581, 28367, 538, 9185, 269, 2201, 519, 586, 7852, 267, 1535, 815, 476, 271, 267, 865, 579, 284, 7117, 1535, 454, 273, 692, 273, 1535, 1341, 586, 692, 284, 271, 692, 341, 284, 692, 273, 1535, 1341, 586, 692, 336, 586, 454, 273, 692, 336, 476, 273, 586, 692, 5522, 31857, 692, 1015, 692, 3374, 476, 1839, 476, 1428, 476, 276, 476, 276, 476, 271, 476, 1428, 476, 1839, 476, 3374, 692, 341, 630, 332, 4882, 2020, 1015, 692, 344, 630, 14790, 994, 763, 6991, 568, 1586, 1360, 1164, 2673, 547, 519, 5169, 267, 543, 8813, 1055, 547, 4642, 269, 898, 568, 849, 2059, 519, 7852, 269, 901, 666, 849, 581, 28367, 538, 9185, 780, 4002, 519, 586, 815, 1535, 7852, 692, 340, 284, 692, 336, 1535, 454, 273, 692, 336, 476, 275, 1535, 476, 272, 642, 815, 272, 579, 692, 341, 284, 692, 273, 1535, 1341, 1535, 692, 336, 1535, 454, 273, 692, 336, 476, 275, 1535, 692, 273, 476, 273, 476, 273, 692, 6533, 2059, 586, 815, 1535, 692, 337, 284, 692, 343, 1341, 343, 25883, 273, 1535, 692, 1012, 3973, 519, 9588, 540, 519, 6991, 2059, 586, 815, 1535, 568, 966, 25883, 340, 1341, 341, 25883, 272, 476, 272, 7117, 7117, 7117, 1341, 815, 815, 476, 273, 476, 273, 476, 275, 1535, 476, 273, 678, 476, 273, 476, 273, 1535, 1535, 692, 5522, 31857, 692, 1015, 692, 3374, 476, 1839, 476, 1428, 476, 276, 476, 276, 476, 271, 476, 1428, 476, 1839, 476, 3374, 692, 309, 9852, 4882, 2020, 1015, 692, 337, 630, 14790, 994, 1607, 666, 849, 581, 28367, 538, 9185, 269, 1280, 6908, 6050, 642, 10085, 815, 815, 579, 15848, 692, 273, 1535, 1341, 586, 476, 273, 1535, 1341, 586, 692, 263, 273, 630, 273, 692, 336, 586, 7117, 1535, 692, 264, 25589, 344, 1535, 692, 1012, 901, 2095, 2361, 14687, 547, 513, 16173, 630, 29171, 1380, 539, 538, 3848, 476, 277, 6393, 19370, 476, 273, 269, 1724, 692, 314, 273, 6540, 339, 284, 271, 1535, 476, 271, 269, 876, 476, 271, 269, 1015, 476, 271, 269, 736, 476, 271, 269, 1789, 476, 271, 269, 2412, 476, 271, 269, 2004, 476, 271, 269, 2568, 476, 271, 269, 3583, 476, 271, 269, 3199, 476, 271, 269, 3445, 476, 272, 269, 876, 476, 272, 269, 1015, 476, 272, 269, 736, 476, 272, 269, 1789, 476, 272, 269, 2412, 476, 272, 269, 2004, 476, 272, 269, 2568, 476, 272, 269, 3583, 476, 272, 269, 3199, 476, 272, 269, 3445, 476, 273, 269, 876, 595, 284, 272, 586, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 476, 272, 269, 876, 595, 284, 273, 586, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 476, 273, 269, 876, 595, 284, 274, 586, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 476, 274, 269, 876, 692, 339, 815, 272, 521, 1535, 476, 271, 269, 1822, 476, 271, 269, 28276, 476, 271, 269, 30588, 476, 271, 269, 271, 4037, 476, 271, 269, 1911, 476, 271, 269, 10219, 476, 271, 269, 5611, 476, 271, 269, 11260, 476, 271, 269, 1220, 476, 271, 269, 18597, 476, 271, 269, 7742, 476, 271, 269, 22550, 476, 271, 269, 4968, 476, 271, 269, 23283, 476, 271, 269, 12573, 476, 271, 269, 23841, 476, 271, 269, 6110, 476, 271, 269, 28883, 476, 271, 269, 14596, 476, 271, 269, 275, 4037, 476, 271, 269, 4335, 595, 284, 272, 586, 476, 272, 269, 876, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7089, 23281, 267, 18963, 267, 10789, 545, 15154, 267, 27252, 15051, 267, 4578, 543, 10803, 267, 7089, 18963, 543, 17773, 267, 26271, 15051, 267, 6715, 619, 267, 11638, 28157, 12307, 267, 21153, 8017, 267, 12793, 267, 13158, 3930, 543, 1160, 1636, 687, 267, 623, 2075, 757, 267, 2983, 6248, 22955, 267, 20970, 543, 9351, 267, 17183, 9351, 543, 11730, 267, 17438, 563, 5978, 1837, 2090, 616, 29979, 609, 6044, 543, 3498, 540, 1239, 2079, 543, 6881, 1210, 12327, 4753, 299, 267, 607, 1134, 607, 2947, 3255, 547, 7119, 538, 519, 25550, 4569, 13477, 781, 4101, 1966, 6061, 1982, 563, 10743, 2253, 519, 1032, 609, 519, 1353, 540, 519, 678, 924, 540, 4762, 3305, 566, 269, 1358, 2097, 547, 1174, 519, 24396, 2035, 543, 519, 3232, 13321, 1648, 540, 519, 10513, 13336, 538, 938, 2729, 269, 4841, 786, 723, 519, 4316, 547, 3986, 543, 15052, 741, 1620, 540, 4168, 19642, 998, 3028, 3785, 2429, 519, 1032, 563, 1103, 519, 2441, 3776, 5020, 6103, 476, 277, 7160, 267, 1053, 1451, 2696, 781, 26315, 607, 7000, 538, 519, 6196, 11620, 543, 875, 649, 616, 1572, 547, 5965, 585, 519, 8003, 540, 2696, 269, 901, 568, 29979, 609, 6044, 543, 3028, 3255, 1644, 547, 7826, 4317, 9752, 563, 763, 15795, 3446, 6437, 538, 2257, 2882, 4559, 538, 519, 4610, 540, 14498, 543, 519, 1604, 267, 6323, 267, 543, 4230, 16860, 269, 769, 14498, 543, 519, 1604, 267, 1053, 946, 3946, 6823, 2238, 267, 1382, 3584, 267, 543, 519, 7317, 2228, 1837, 547, 2263, 875, 3425, 4096, 593, 2067, 2200, 585, 2326, 543, 1648, 543, 875, 741, 2623, 5222, 1346, 2200, 563, 10743, 262, 2090, 538, 6323, 1331, 1210, 9509, 26840, 3163, 3590, 4559, 269, 1452, 4559, 1331, 2326, 585, 17634, 267, 954, 22793, 2238, 267, 4950, 24909, 267, 543, 1603, 3255, 269, 4841, 2263, 2168, 543, 3114, 3601, 543, 2242, 998, 513, 3126, 540, 6901, 10704, 593, 23399, 543, 3435, 269, 4746, 538, 6323, 267, 519, 1053, 5431, 543, 6961, 13053, 781, 1614, 4031, 540, 5163, 676, 19234, 11884, 609, 5432, 9162, 543, 3615, 269, 4841, 4497, 538, 14797, 267, 3756, 267, 543, 2591, 602, 11168, 519, 4031, 540, 5163, 602, 1827, 4948, 4247, 543, 17184, 4205, 563, 1103, 17651, 519, 5049, 1451, 875, 519, 10785, 543, 513, 3099, 540, 824, 4703, 1106, 513, 1062, 540, 3615, 28835, 519, 3141, 269, 1358, 946, 606, 2228, 7317, 1837, 267, 4950, 2238, 267, 543, 741, 23519, 547, 1020, 4267, 547, 971, 2055, 607, 912, 3963, 568, 8904, 1271, 547, 519, 3859, 1062, 888, 1432, 568, 1634, 827, 519, 18714, 543, 3154, 9649, 10785, 888, 1432, 616, 519, 3601, 540, 519, 3141, 888, 1432, 568, 519, 3618, 2173, 3019, 1606, 684, 1062, 888, 1103, 3163, 267, 4569, 267, 543, 5678, 8551, 5049, 267, 1053, 1020, 741, 1378, 3163, 12876, 3785, 269, 4841, 3136, 1382, 602, 3459, 693, 519, 1439, 540, 2063, 1032, 543, 946, 741, 2203, 6901, 7318, 936, 519, 4832, 269, 31401, 2039, 689, 519, 4222, 540, 1585, 13123, 267, 547, 4152, 519, 1198, 540, 11993, 10433, 593, 1114, 5613, 269, 4841, 2932, 6101, 1382, 267, 2328, 711, 1815, 1841, 267, 1711, 606, 7291, 267, 543, 2328, 513, 6101, 1382, 1957, 547, 13173, 741, 1788, 693, 519, 4023, 269, 1358, 1451, 543, 946, 9185, 547, 17412, 543, 1459, 519, 1239, 689, 741, 6901, 538, 3349, 543, 21370, 3029, 563, 306, 1460, 628, 3446, 7475, 519, 1079, 4458, 3460, 883, 1158, 2090, 1369, 519, 4317, 5525, 6437, 269, 769, 3446, 3670, 267, 1053, 960, 998, 1614, 2835, 5059, 593, 1808, 2694, 540, 519, 1158, 281, 4000, 267, 2342, 543, 6576, 267, 5607, 543, 7414, 269, 769, 1142, 6249, 267, 1053, 1451, 519, 2168, 11585, 540, 519, 1858, 543, 875, 519, 1858, 729, 8032, 676, 621, 781, 1686, 269, 1358, 2263, 519, 4529, 602, 1118, 891, 4525, 2189, 269, 4841, 11654, 741, 1367, 4690, 543, 3986, 741, 2090, 676, 10283, 538, 3778, 4303, 563, 1607, 1576, 5713, 607, 606, 2606, 547, 13591, 1377, 540, 1620, 267, 6340, 267, 2542, 267, 543, 1603, 540, 519, 3077, 1893, 5053, 269, 3962, 1362, 786, 4183, 513, 3309, 7848, 540, 2238, 2966, 547, 18082, 1483, 3734, 3871, 538, 1931, 547, 6536, 519, 1646, 540, 5711, 15334, 538, 5053, 563, 10743, 786, 581, 2111, 547, 2911, 827, 10918, 267, 2769, 2724, 2418, 267, 2769, 15055, 543, 20247, 10105, 267, 4766, 543, 5635, 9660, 267, 543, 2263, 17104, 2528, 538, 2578, 549, 600, 2946, 878, 320, 2429, 1133, 21059, 476, 274, 281, 30188, 630, 16215, 476, 274, 1040, 4841, 786, 849, 581, 2111, 547, 2769, 7375, 267, 2769, 683, 764, 7295, 267, 2769, 3527, 267, 543, 4766, 543, 1871, 1919, 2429, 1133, 21059, 476, 275, 281, 3131, 14243, 630, 16215, 476, 275, 1040, 25385, 320, 10722, 565, 267, 16114, 650, 3570, 476, 272, 288, 786, 581, 938, 1837, 540, 4704, 585, 713, 1032, 269, 2485, 350, 32513, 5451, 796, 1207, 523, 513, 25123, 256, 0, 290, 25729, 3574, 3282, 912, 290, 25729, 3574, 3282, 814, 513, 8984, 2571, 267, 29762, 9329, 267, 799, 949, 1689, 609, 942, 269, 898, 814, 513, 12779, 5835, 547, 26070, 5835, 538, 2681, 269, 898, 568, 5394, 543, 1471, 32654, 3282, 267, 593, 5329, 713, 1898, 3282, 1869, 585, 1279, 942, 621, 3936, 956, 609, 930, 12627, 899, 17571, 563, 290, 3633, 2752, 310, 302, 7495, 744, 6579, 25886, 912, 6097, 547, 3504, 21072, 12738, 267, 595, 25729, 6229, 3282, 2059, 609, 824, 824, 1898, 11041, 941, 1031, 538, 519, 3504, 12266, 544, 17026, 2305, 1184, 7868, 5065, 4892, 1031, 519, 524, 25729, 6229, 1898, 3282, 538, 5289, 18428, 547, 3986, 519, 5289, 10618, 563, 290, 25729, 6229, 1898, 3282, 814, 4550, 5498, 10364, 2073, 4550, 1107, 12982, 267, 4550, 17898, 553, 7116, 545, 267, 5521, 20141, 267, 30624, 25193, 543, 1019, 675, 6776, 3601, 563, 19187, 2906, 540, 595, 25729, 6229, 3282, 1759, 593, 5709, 1400, 912, 290, 25729, 3574, 3282, 568, 589, 11415, 550, 267, 20767, 894, 267, 14640, 1530, 4011, 337, 9996, 267, 21673, 528, 656, 267, 14640, 1922, 25193, 267, 4144, 675, 6776, 267, 4165, 1047, 10364, 267, 4165, 7371, 553, 7116, 545, 543, 2506, 523, 698, 4084, 563, 763, 3119, 3334, 1644, 547, 1022, 13311, 3114, 540, 595, 25729, 6229, 3282, 616, 774, 340, 329, 3591, 2940, 267, 824, 590, 525, 638, 3438, 5155, 525, 267, 595, 539, 1503, 543, 654, 1342, 1503, 267, 29530, 4211, 539, 16867, 543, 24488, 4211, 539, 16867, 3092, 454, 24841, 13365, 543, 4718, 706, 560, 616, 16271, 547, 9252, 1253, 20746, 547, 1349, 519, 3282, 543, 519, 6556, 568, 827, 476, 3374, 14999, 290, 25729, 3574, 3282, 568, 5833, 676, 519, 1184, 540, 9252, 1253, 20746, 540, 3574, 4773, 543, 4718, 706, 560, 540, 519, 524, 25729, 3529, 269, 901, 26192, 12708, 3282, 568, 1031, 538, 14453, 267, 15328, 27027, 267, 24484, 543, 30166, 8132, 12752, 543, 32746, 8896, 12752, 563, 279, 29055, 2657, 11588, 543, 21964, 912, 268, 26192, 595, 25729, 3574, 3282, 568, 849, 20762, 609, 18552, 3282, 630, 3697, 11835, 329, 20899, 13813, 264, 610, 6404, 538, 8602, 865, 2355, 543, 575, 1564, 267, 799, 2337, 538, 4745, 24074, 267, 10447, 267, 7929, 2042, 267, 522, 1176, 2960, 267, 3032, 1551, 327, 267, 546, 663, 745, 742, 543, 28144, 4345, 563, 268, 898, 568, 5363, 17212, 1324, 7929, 2175, 563, 268, 4107, 5363, 538, 1574, 532, 17256, 8778, 3968, 563, 268, 589, 668, 7752, 2805, 281, 966, 777, 832, 540, 595, 25729, 3574, 3282, 568, 1634, 547, 581, 3730, 538, 17588, 577, 4345, 267, 1488, 9374, 267, 8330, 8676, 267, 28039, 15436, 1143, 269, 898, 568, 513, 1434, 2298, 5521, 28084, 550, 563, 268, 26192, 595, 25729, 6229, 3282, 12217, 513, 1390, 2702, 540, 4887, 6001, 656, 267, 22196, 543, 5347, 532, 8229, 563, 268, 898, 568, 1031, 607, 4550, 7510, 4958, 545, 267, 1884, 1047, 10364, 267, 4550, 1922, 25193, 267, 17240, 14004, 543, 17256, 4713, 267, 5363, 538, 13119, 267, 8611, 267, 25667, 267, 12263, 543, 30456, 563, 268, 595, 25729, 6229, 3282, 3730, 538, 2960, 1966, 543, 4552, 1966, 563, 268, 898, 568, 6404, 609, 519, 8645, 610, 2603, 542, 799, 2337, 519, 1367, 945, 723, 522, 1176, 2960, 267, 621, 31758, 519, 2042, 1644, 547, 522, 1176, 2960, 899, 533, 574, 921, 543, 18383, 563, 290, 25729, 3574, 3282, 1058, 711, 581, 1031, 6379, 563, 290, 25729, 3574, 3282, 666, 2014, 8886, 725, 952, 4294, 2047, 593, 2960, 538, 1164, 9830, 269, 4935, 568, 1058, 581, 29809, 609, 824, 11041, 563, 8489, 547, 4444, 1164, 2298, 595, 25729, 6229, 3282, 888, 288, 5308, 15733, 2709, 476, 1911, 260, 6986, 543, 2067, 595, 25729, 6229, 1898, 3282, 676, 1739, 7318, 543, 14468, 2474, 269, 19255, 6986, 595, 25729, 6229, 3282, 689, 3127, 267, 5664, 7532, 267, 10787, 7532, 2477, 267, 4000, 267, 7330, 267, 5177, 543, 5824, 3013, 267, 952, 596, 616, 5001, 18046, 270, 3412, 1602, 1562, 269, 1284, 2709, 1152, 693, 1733, 3421, 1446, 2557, 540, 595, 25729, 3574, 3282, 269, 1411, 949, 2638, 721, 607, 31327, 13583, 20445, 538, 3127, 607, 829, 519, 13995, 540, 18869, 476, 12010, 272, 281, 1001, 276, 267, 717, 6573, 267, 670, 3722, 9573, 543, 670, 3201, 3201, 267, 24230, 615, 543, 18869, 476, 13136, 876, 281, 1001, 279, 269, 1284, 849, 960, 607, 595, 25729, 3574, 3282, 1401, 1602, 1562, 689, 3127, 269, 6733, 589, 5308, 6216, 607, 595, 25729, 6229, 3282, 1163, 7163, 689, 13850, 21532, 21171, 16156, 9122, 7577, 269, 0, 307, 11624, 476, 26605, 32722, 525, 454, 23763, 547, 917, 811, 827, 968, 339, 11624, 476, 26605, 6644, 525, 892, 888, 1103, 713, 2376, 267, 649, 3580, 581, 2469, 936, 4010, 602, 1888, 563, 1432, 1772, 570, 11624, 888, 307, 11624, 568, 519, 3222, 6284, 540, 513, 6846, 538, 707, 10772, 610, 2212, 267, 711, 4547, 593, 676, 16538, 3280, 563, 307, 11624, 568, 711, 513, 2783, 267, 621, 568, 513, 4191, 543, 10835, 540, 606, 5817, 1966, 267, 971, 607, 513, 8229, 1062, 1966, 267, 6217, 2530, 267, 610, 606, 1274, 5945, 563, 21761, 4448, 609, 6217, 2530, 267, 519, 5168, 568, 811, 982, 476, 2004, 2600, 540, 1004, 7231, 609, 13046, 1810, 1406, 723, 3067, 16666, 6217, 2530, 269, 25392, 602, 972, 616, 6266, 540, 3123, 267, 13046, 666, 581, 2404, 609, 513, 2039, 540, 1072, 3390, 563, 763, 1977, 570, 11624, 9257, 9193, 519, 1739, 912, 268, 2004, 2929, 4892, 1995, 13046, 547, 930, 6708, 563, 268, 1626, 2929, 723, 2589, 3978, 2614, 547, 2154, 2126, 563, 268, 273, 2929, 616, 865, 12517, 16981, 267, 789, 666, 1406, 1599, 593, 513, 4948, 4493, 563, 1607, 2783, 666, 2049, 538, 835, 610, 1312, 10772, 267, 5044, 538, 12334, 689, 513, 4389, 2868, 2401, 547, 513, 1164, 2695, 7002, 267, 543, 1522, 581, 31934, 610, 17573, 563, 307, 11624, 568, 513, 1129, 1644, 547, 1082, 2010, 540, 6217, 2530, 607, 1134, 607, 666, 849, 581, 513, 4191, 543, 10835, 540, 1585, 824, 4576, 563, 1432, 15486, 570, 11624, 286, 570, 11624, 476, 26605, 32722, 525, 454, 307, 11624, 666, 581, 1305, 1055, 676, 513, 3099, 540, 1114, 3123, 267, 543, 621, 15320, 14320, 689, 1268, 547, 1268, 563, 288, 1906, 540, 519, 3123, 1267, 538, 26464, 13046, 602, 949, 991, 3797, 267, 1247, 1866, 2014, 2110, 24331, 13046, 602, 7106, 8986, 676, 3294, 563, 23777, 673, 4128, 585, 13046, 2874, 540, 912, 265, 13332, 539, 1274, 8756, 609, 1274, 342, 1314, 269, 2423, 342, 1314, 695, 3658, 1274, 3060, 676, 13830, 7452, 543, 4227, 519, 2208, 540, 4551, 563, 5629, 1932, 1454, 1274, 342, 1314, 7213, 12885, 267, 621, 2501, 547, 581, 1932, 9157, 547, 11547, 2476, 6923, 267, 2870, 6217, 2530, 610, 29338, 540, 519, 552, 731, 5300, 267, 602, 1522, 2014, 13046, 454, 265, 2423, 3968, 563, 265, 24651, 2530, 4448, 547, 3478, 4587, 269, 1280, 1390, 9388, 540, 1004, 267, 6217, 4991, 8338, 609, 2085, 267, 7363, 4358, 2250, 2085, 540, 24239, 269, 898, 568, 6947, 547, 2530, 602, 12153, 13046, 563, 265, 22452, 547, 10978, 6846, 269, 700, 3716, 21089, 267, 971, 607, 1346, 689, 5230, 3457, 610, 17890, 4598, 547, 15409, 8964, 32266, 971, 607, 12463, 274, 5716, 610, 19503, 16104, 1522, 10123, 2253, 13046, 563, 265, 2423, 5642, 9283, 610, 17333, 657, 16235, 269, 853, 858, 2287, 540, 519, 7633, 1369, 707, 4099, 1274, 1522, 3310, 6217, 607, 1134, 607, 3142, 13046, 563, 1607, 2783, 568, 30289, 547, 25768, 2208, 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 ]
[ 2982, 547, 723, 22734, 930, 2242, 269, 589, 1713, 29373, 568, 10805, 1851, 1114, 2477, 267, 513, 4756, 602, 814, 4957, 936, 942, 269, 7324, 519, 9167, 15713, 2818, 267, 5333, 543, 7977, 10805, 513, 6749, 538, 9167, 8446, 269, 27275, 8390, 568, 849, 4080, 593, 519, 4493, 540, 1114, 8739, 20300, 543, 15295, 2188, 693, 606, 1367, 1377, 269, 8409, 4632, 1331, 2085, 267, 1377, 540, 2069, 267, 13567, 267, 8739, 20300, 2783, 267, 3092, 269, 3502, 1360, 19599, 267, 519, 1895, 811, 2693, 547, 1397, 513, 2362, 1377, 540, 8446, 609, 519, 3864, 5742, 568, 7768, 540, 1762, 267, 5266, 14547, 267, 1134, 268, 14445, 730, 267, 11235, 547, 2951, 267, 960, 543, 1353, 13383, 1004, 269, 8745, 569, 267, 1346, 945, 1185, 1185, 519, 4316, 547, 1995, 1863, 10688, 693, 1101, 1688, 267, 2059, 609, 922, 2640, 563, 1432, 616, 519, 22948, 3414, 6904, 14740, 568, 23095, 888, 6524, 25054, 593, 519, 4507, 6964, 547, 2743, 519, 3864, 4161, 267, 621, 568, 2556, 547, 5581, 519, 3157, 998, 799, 3961, 568, 2813, 269, 769, 8159, 519, 7271, 998, 799, 3961, 568, 2813, 267, 1079, 3982, 10092, 616, 13747, 281, 1344, 2861, 543, 1995, 2861, 3334, 1547, 6176, 2861, 7271, 26520, 593, 519, 7145, 540, 20310, 6835, 607, 513, 2707, 540, 1895, 8446, 267, 607, 1134, 607, 593, 519, 1377, 540, 10333, 543, 4598, 4961, 1205, 689, 1346, 6835, 269, 11619, 1137, 685, 3761, 786, 7048, 593, 519, 2797, 16918, 607, 1134, 607, 519, 2923, 19093, 269, 2311, 519, 1482, 942, 267, 4598, 547, 2342, 5829, 1344, 786, 581, 811, 8200, 593, 519, 1377, 540, 18906, 4369, 543, 1719, 6131, 676, 4961, 547, 971, 1826, 540, 5048, 269, 17957, 267, 1995, 2861, 6127, 9114, 593, 519, 2856, 540, 2123, 3346, 543, 1463, 2833, 607, 513, 2707, 540, 8446, 269, 16842, 17066, 543, 2123, 4296, 630, 324, 3052, 1421, 661, 6652, 16443, 5385, 1982, 264, 616, 1767, 547, 723, 606, 1764, 593, 1895, 2818, 685, 11994, 563, 1432, 616, 519, 10819, 693, 519, 17848, 540, 519, 3864, 14740, 19822, 888, 2414, 18113, 4431, 547, 519, 1699, 6433, 1813, 547, 519, 3864, 5742, 779, 3668, 540, 8446, 267, 621, 568, 2556, 547, 1831, 811, 5432, 609, 519, 5817, 2042, 540, 713, 7678, 269, 2986, 1880, 1719, 538, 713, 2463, 5526, 519, 3864, 3194, 5741, 25783, 4753, 25893, 269, 634, 1788, 779, 9165, 2482, 538, 519, 7634, 540, 3213, 1127, 542, 8889, 538, 2870, 513, 3838, 2631, 540, 3864, 3961, 543, 513, 6626, 15984, 547, 2342, 779, 2418, 1851, 4961, 269, 634, 3609, 630, 1220, 278, 268, 1001, 274, 267, 476, 1001, 275, 268, 1708, 271, 264, 6322, 693, 16701, 21899, 16526, 1851, 4759, 2829, 267, 607, 1134, 607, 693, 519, 1646, 540, 513, 2631, 540, 10362, 547, 513, 3838, 2146, 269, 4014, 519, 1382, 729, 12799, 3358, 547, 519, 3864, 4643, 779, 1967, 267, 519, 4857, 2152, 2408, 547, 4163, 513, 1454, 811, 2489, 2470, 269, 769, 1880, 267, 1614, 2101, 2042, 941, 4857, 563, 763, 1101, 3390, 547, 581, 4857, 6013, 538, 2792, 269, 4340, 547, 4681, 267, 835, 540, 519, 4128, 1946, 519, 3864, 4643, 9863, 547, 581, 28336, 538, 11543, 1489, 585, 29761, 6508, 689, 519, 1259, 621, 814, 267, 610, 1732, 267, 814, 711, 267, 1044, 4843, 676, 2199, 6608, 543, 2923, 19093, 267, 12077, 875, 1454, 3795, 729, 6131, 547, 9167, 5829, 1344, 269, 1879, 2324, 4724, 519, 6388, 540, 513, 2631, 540, 10362, 267, 2342, 1590, 3976, 1451, 547, 5968, 922, 4507, 1732, 269, 769, 713, 2543, 267, 2792, 9055, 267, 1514, 2923, 5867, 3769, 267, 2408, 2629, 563, 30772, 267, 621, 729, 7074, 602, 519, 14305, 540, 7293, 7482, 1281, 711, 8209, 1226, 622, 609, 513, 4473, 538, 9167, 1489, 267, 6862, 609, 513, 10006, 538, 8446, 609, 519, 2146, 269, 769, 713, 2543, 267, 4704, 568, 1500, 547, 2836, 629, 6319, 630, 2005, 3315, 1040, 4014, 513, 1804, 2179, 540, 7482, 729, 21248, 547, 519, 3148, 267, 476, 4097, 260, 540, 519, 17013, 1869, 9763, 741, 2197, 779, 9167, 15376, 11874, 269, 4340, 547, 519, 29622, 538, 1931, 585, 7482, 547, 1711, 1489, 267, 789, 798, 711, 1152, 991, 547, 581, 21248, 267, 855, 849, 267, 789, 991, 547, 581, 6170, 1134, 267, 607, 1134, 607, 15469, 538, 6935, 547, 519, 2164, 5833, 563, 15563, 267, 519, 3791, 1966, 547, 581, 4857, 1644, 547, 4656, 269, 1879, 4280, 827, 519, 9167, 3213, 1127, 542, 4643, 267, 1447, 982, 476, 2004, 260, 540, 9167, 4961, 23500, 941, 5432, 609, 519, 9167, 3213, 1127, 542, 8889, 269, 634, 4466, 5267, 602, 1373, 14542, 609, 9167, 24727, 543, 9024, 328, 2510, 693, 513, 6626, 1377, 267, 4961, 786, 2693, 711, 581, 3222, 540, 519, 2640, 789, 1683, 267, 8754, 519, 2956, 540, 9870, 4656, 563, 1432, 9877, 540, 9024, 328, 2510, 5620, 2142, 523, 14146, 539, 547, 32754, 513, 23281, 540, 22384, 538, 519, 3864, 7991, 888, 1103, 24152, 519, 2994, 8045, 676, 29761, 6322, 693, 3384, 2417, 22122, 1063, 4759, 2829, 267, 1079, 1114, 3961, 3334, 991, 547, 581, 2417, 13747, 281, 18523, 543, 2686, 1547, 634, 11984, 5526, 3730, 607, 621, 2636, 721, 547, 10646, 1079, 1114, 3515, 540, 2962, 547, 2936, 519, 4507, 540, 8446, 609, 519, 3864, 5742, 563, 288, 3864, 968, 290, 15960, 14740, 892, 1131, 267, 4061, 267, 3277, 547, 519, 8226, 547, 581, 851, 540, 513, 3864, 2797, 1062, 267, 10747, 3652, 267, 4031, 267, 543, 2924, 7282, 519, 1367, 12504, 779, 1272, 269, 1879, 13389, 519, 18523, 5057, 267, 3864, 7341, 1058, 3976, 2832, 693, 10451, 513, 2631, 540, 18497, 7589, 538, 519, 5742, 779, 3375, 6194, 3157, 267, 2566, 532, 519, 9525, 540, 835, 1455, 2797, 1062, 269, 634, 3119, 3483, 267, 811, 3622, 267, 1058, 267, 4061, 267, 2874, 538, 1818, 5238, 811, 3608, 543, 12001, 267, 607, 1134, 607, 811, 3015, 547, 3864, 4961, 269, 634, 1267, 1131, 1291, 711, 1152, 547, 3152, 7589, 538, 3864, 2797, 1272, 855, 1131, 849, 2333, 4961, 685, 4656, 540, 519, 3864, 5238, 607, 1134, 607, 540, 519, 2640, 547, 799, 789, 723, 1569, 269, 7324, 519, 3864, 7341, 602, 723, 1044, 17298, 538, 13076, 547, 891, 3515, 616, 519, 1739, 281, 3864, 12057, 779, 12836, 267, 12504, 779, 1788, 7341, 543, 19929, 267, 513, 1455, 1780, 1636, 267, 7833, 539, 12689, 10824, 267, 1863, 10688, 267, 1863, 268, 549, 5446, 267, 631, 7968, 630, 26329, 3864, 12057, 264, 543, 519, 9167, 17253, 2816, 8116, 630, 292, 7838, 2464, 1916, 1103, 4334, 267, 968, 24292, 14740, 892, 568, 3989, 607, 519, 5057, 267, 4830, 689, 519, 1657, 268, 20197, 2797, 11994, 267, 31827, 689, 519, 2856, 602, 17417, 616, 6251, 982, 1875, 7232, 2202, 753, 1813, 547, 513, 3638, 1305, 540, 3838, 2418, 267, 607, 1134, 607, 513, 3838, 2528, 543, 1686, 269, 1635, 10771, 519, 1455, 1275, 6508, 689, 513, 3838, 2250, 1063, 9167, 2818, 267, 7341, 786, 581, 8045, 538, 1931, 547, 6318, 513, 2631, 540, 12972, 1063, 4961, 540, 519, 1482, 1895, 269, 6201, 1331, 661, 6652, 16443, 31956, 1863, 954, 571, 559, 17914, 267, 4884, 1000, 15619, 3292, 267, 3864, 13317, 540, 9177, 267, 513, 3443, 26049, 7641, 19305, 630, 292, 584, 821, 9749, 1070, 607, 1134, 607, 3838, 6698, 267, 971, 607, 519, 3864, 25035, 267, 3864, 4165, 1335, 267, 513, 1455, 2138, 1729, 12462, 18197, 538, 16844, 25257, 543, 513, 3838, 7908, 2032, 267, 2342, 779, 1554, 630, 280, 2904, 1916, 4910, 327, 12686, 519, 9167, 267, 1548, 2052, 581, 667, 821, 538, 11352, 547, 3763, 513, 23281, 540, 22384, 888, 16729, 519, 7969, 796, 2305, 538, 476, 5908, 272, 267, 7136, 24982, 546, 685, 288, 345, 1122, 331, 1470, 267, 7969, 22267, 543, 5856, 267, 1767, 267, 968, 517, 576, 7977, 729, 1500, 267, 1631, 649, 1590, 1118, 32228, 2103, 1848, 1656, 519, 1482, 7954, 10039, 547, 2342, 269, 9861, 513, 5266, 1762, 1062, 267, 711, 1256, 476, 3583, 1296, 2025, 267, 543, 18460, 6024, 1646, 267, 538, 1931, 585, 2342, 547, 957, 811, 7561, 267, 1697, 3007, 1590, 581, 6976, 547, 4507, 6322, 693, 7598, 513, 3838, 3961, 267, 2864, 982, 2519, 9003, 593, 922, 2804, 2460, 269, 769, 713, 2543, 267, 607, 2907, 5018, 267, 519, 27753, 6592, 538, 519, 1585, 16402, 8663, 10309, 12220, 2408, 540, 1880, 1719, 563, 5415, 4481, 267, 607, 6700, 538, 513, 2487, 1867, 3370, 676, 10566, 2177, 303, 5357, 267, 968, 1432, 513, 4743, 26834, 1215, 547, 3895, 3864, 14740, 2108, 267, 4966, 4857, 538, 4079, 267, 27404, 619, 267, 543, 811, 3622, 1447, 8739, 3887, 1595, 1227, 3462, 3042, 1004, 519, 1292, 9072, 540, 513, 1007, 3961, 1544, 269, 4340, 547, 12220, 267, 891, 6688, 723, 9863, 547, 581, 519, 2547, 2693, 547, 1020, 513, 2631, 540, 9167, 22122, 267, 8754, 519, 991, 547, 1445, 593, 873, 269, 2755, 1762, 267, 1134, 268, 14445, 730, 267, 543, 3622, 14547, 1004, 4043, 547, 1459, 2362, 3972, 3928, 267, 5631, 1813, 547, 519, 1863, 3350, 4507, 3850, 1053, 543, 1762, 4648, 547, 1711, 3407, 30427, 17066, 267, 9363, 693, 1753, 543, 1373, 6534, 547, 3864, 14666, 1281, 711, 3100, 547, 723, 519, 1482, 1198, 269, 4340, 547, 4966, 267, 538, 1931, 547, 1711, 513, 811, 8537, 3961, 267, 811, 1445, 1058, 581, 2322, 593, 1346, 1004, 1447, 2693, 547, 1995, 519, 2640, 540, 741, 2197, 779, 9167, 15376, 563, 1103, 1840, 547, 3246, 513, 1592, 540, 2009, 9072, 547, 581, 3769, 538, 513, 1761, 1007, 1544, 585, 519, 1646, 540, 513, 3864, 3961, 267, 1896, 10372, 941, 4843, 538, 519, 1867, 269, 1452, 10372, 786, 581, 7396, 2630, 267, 23243, 1063, 741, 18523, 543, 2686, 10155, 563, 16449, 519, 6700, 18523, 7341, 267, 649, 1265, 519, 5137, 540, 647, 1440, 534, 1049, 5428, 8638, 269, 634, 2856, 568, 711, 7357, 1007, 267, 607, 1896, 14761, 723, 2907, 6069, 971, 513, 1544, 267, 1519, 519, 3943, 5518, 2506, 28609, 5839, 1258, 269, 4340, 547, 5640, 267, 519, 5137, 540, 647, 1440, 534, 1049, 8638, 1131, 10018, 513, 811, 14733, 14017, 547, 519, 5428, 779, 1883, 2856, 267, 4611, 538, 513, 3152, 5428, 12477, 269, 30027, 3585, 267, 519, 6228, 540, 30427, 6105, 1223, 5352, 811, 1857, 1719, 543, 3565, 547, 3152, 7589, 538, 25931, 12836, 269, 19627, 267, 1851, 519, 1585, 3981, 1431, 267, 519, 10661, 540, 3864, 2377, 817, 625, 568, 4843, 269, 6270, 13646, 1131, 1683, 931, 983, 2533, 585, 782, 9167, 4961, 267, 1247, 4914, 3609, 1131, 2611, 540, 3084, 16169, 269, 11554, 693, 513, 647, 1440, 534, 1049, 1377, 1131, 8754, 3565, 547, 519, 5048, 540, 513, 811, 1459, 543, 4543, 2342, 269, 2311, 519, 1482, 942, 267, 741, 5137, 1131, 2327, 5812, 2724, 22766, 607, 1134, 513, 2362, 1377, 540, 4398, 267, 4611, 689, 519, 32301, 540, 519, 5650, 269, 7053, 267, 2749, 32234, 267, 1141, 4961, 1223, 2743, 547, 1865, 3864, 2152, 267, 519, 1543, 540, 891, 11401, 1287, 1373, 4547, 1354, 519, 21768, 267, 616, 849, 6069, 269, 901, 2259, 267, 2907, 538, 946, 538, 8581, 267, 1131, 3976, 2333, 519, 2631, 540, 12504, 9525, 563, 8245, 6714, 3585, 267, 689, 513, 2686, 1448, 540, 2070, 267, 1896, 7341, 616, 849, 6700, 269, 7324, 519, 1034, 1713, 3283, 267, 649, 2446, 519, 5137, 540, 1114, 5385, 3292, 13389, 4079, 630, 28158, 32240, 345, 1070, 547, 1711, 606, 593, 7308, 18191, 984, 1995, 5385, 267, 607, 1134, 607, 27404, 619, 630, 303, 3290, 619, 685, 661, 6652, 16443, 1070, 547, 1489, 1346, 11235, 547, 1451, 543, 1205, 547, 917, 811, 827, 3864, 2477, 543, 741, 4529, 269, 1230, 9690, 569, 267, 519, 5137, 540, 606, 9167, 5398, 6796, 16340, 322, 2120, 267, 3742, 538, 1896, 9167, 4654, 267, 543, 3976, 14123, 1569, 267, 568, 6069, 269, 634, 3760, 1131, 2011, 3232, 267, 8720, 9167, 5829, 3377, 607, 1134, 607, 782, 1857, 5870, 543, 5873, 902, 540, 3864, 30543, 269, 769, 1931, 547, 2743, 922, 3483, 267, 519, 13739, 1058, 1459, 513, 1164, 4110, 540, 7115, 689, 6214, 267, 3246, 922, 13588, 609, 6662, 1344, 563, 305, 1430, 982, 1373, 9833, 607, 513, 3463, 547, 835, 779, 3961, 267, 5807, 3864, 9322, 1058, 3079, 581, 9228, 607, 513, 4324, 269, 589, 968, 10919, 640, 540, 2950, 892, 2324, 1927, 585, 513, 1455, 1434, 269, 1403, 267, 538, 13076, 609, 519, 3069, 540, 1514, 4020, 13659, 267, 1514, 3157, 616, 693, 519, 4295, 540, 519, 4070, 540, 2093, 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 ]
[ 3501, 585, 581, 8172, 780, 1103, 2413, 2053, 267, 2121, 1154, 814, 1336, 513, 1747, 1369, 519, 7706, 540, 29950, 1740, 267, 1141, 621, 5713, 607, 606, 4244, 4480, 585, 5569, 532, 19273, 1927, 269, 5502, 540, 13461, 9003, 593, 2757, 2409, 899, 890, 344, 1774, 610, 15839, 19173, 267, 5159, 6451, 2121, 1540, 2609, 547, 1039, 9403, 543, 10155, 547, 741, 6272, 269, 1280, 3236, 267, 6220, 2121, 1540, 17446, 1063, 9343, 540, 581, 12184, 30996, 880, 906, 666, 2736, 909, 27865, 517, 748, 3270, 1247, 8195, 4946, 3308, 1719, 269, 5015, 267, 2121, 1154, 2636, 585, 811, 5214, 5546, 3379, 547, 14461, 12166, 6163, 1419, 2404, 609, 11295, 29950, 933, 3058, 2553, 780, 28757, 581, 19470, 849, 8415, 2121, 1154, 950, 14335, 28707, 4773, 971, 607, 8405, 331, 2167, 267, 25231, 7410, 267, 543, 1274, 337, 902, 269, 3414, 6297, 12879, 540, 8520, 2450, 543, 8082, 267, 5159, 666, 1852, 519, 5860, 540, 519, 3803, 1587, 269, 589, 17401, 18955, 2121, 2488, 2497, 543, 6617, 267, 1818, 621, 5078, 585, 16304, 5230, 20805, 1218, 610, 3880, 956, 269, 17957, 267, 3138, 29141, 3103, 22937, 2933, 1134, 547, 2011, 1512, 15885, 267, 4998, 585, 10347, 669, 28888, 1512, 1274, 337, 902, 610, 13576, 10077, 1407, 780, 11101, 267, 2121, 1154, 3091, 2189, 3255, 585, 17634, 543, 29356, 269, 20551, 949, 9192, 1114, 2010, 540, 27871, 1107, 8151, 689, 10991, 27129, 547, 2067, 11103, 1107, 547, 3035, 5551, 2360, 269, 3958, 267, 10962, 2681, 7648, 3842, 24352, 565, 1819, 16060, 610, 10085, 539, 19273, 8591, 3178, 543, 5854, 3599, 547, 519, 8737, 960, 269, 6270, 3860, 23118, 5512, 5159, 547, 7903, 6302, 543, 3565, 4195, 5380, 547, 3964, 5389, 780, 2026, 649, 9959, 713, 6514, 540, 2121, 1154, 1369, 26353, 270, 20007, 2294, 20324, 1737, 1740, 267, 2015, 519, 1739, 12987, 585, 2417, 8086, 543, 3498, 1384, 265, 31385, 875, 824, 2686, 8658, 723, 8246, 2121, 1154, 2429, 1686, 269, 1548, 19320, 2291, 2066, 10923, 4525, 286, 1215, 798, 891, 10486, 1217, 707, 7664, 540, 519, 4480, 888, 265, 15331, 609, 8795, 8142, 7306, 267, 2326, 267, 543, 4778, 547, 3605, 6397, 10659, 543, 1761, 1374, 10124, 563, 265, 6333, 23712, 609, 8284, 29048, 21751, 538, 14911, 23447, 630, 324, 3052, 1421, 8407, 19431, 532, 267, 6775, 6575, 264, 547, 19467, 10459, 543, 4228, 707, 7499, 6863, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5649, 10395, 13541, 658, 12005, 5811, 281, 476, 1321, 1320, 4139, 22544, 267, 594, 342, 25556, 476, 1220, 279, 267, 30159, 267, 27526, 267, 2974, 320, 267, 4989, 476, 278, 476, 280, 267, 476, 1220, 279, 269, 18619, 454, 21671, 1007, 547, 519, 1224, 616, 512, 580, 2426, 21072, 267, 8385, 13977, 538, 1560, 269, 1452, 519, 15438, 540, 22063, 1683, 267, 4758, 1142, 676, 519, 1920, 540, 930, 25113, 269, 623, 9476, 534, 5362, 267, 5604, 540, 10255, 476, 278, 269, 19555, 525, 267, 945, 267, 538, 7329, 540, 1010, 9114, 540, 26541, 3930, 263, 14958, 344, 1070, 568, 1480, 547, 7866, 519, 959, 9404, 902, 540, 544, 27186, 269, 623, 9476, 534, 5362, 267, 1224, 10395, 13541, 658, 12005, 5811, 281, 476, 1321, 628, 4139, 22544, 267, 594, 310, 5746, 288, 476, 1220, 279, 267, 30159, 267, 12924, 267, 7330, 267, 4989, 476, 278, 476, 280, 267, 476, 1220, 279, 269, 18619, 540, 10255, 476, 279, 269, 623, 9476, 534, 5362, 267, 2543, 540, 10255, 476, 279, 269, 623, 9476, 534, 5362, 267, 21549, 540, 10255, 476, 279, 269, 623, 9476, 534, 5362, 267, 7115, 540, 10255, 476, 279, 269, 623, 9476, 534, 5362, 267, 1224, 10395, 13541, 658, 540, 10255, 476, 279, 269, 19555, 525, 267, 538, 4171, 700, 7564, 789, 616, 519, 21072, 3773, 19555, 320, 807, 282, 789, 5884, 607, 513, 512, 540, 19555, 525, 267, 543, 513, 11571, 22458, 267, 15538, 676, 606, 2699, 267, 661, 4157, 515, 597, 519, 12313, 540, 661, 889, 9567, 1938, 269, 19992, 519, 19545, 2036, 338, 519, 6595, 540, 3733, 4135, 3342, 269, 623, 9476, 534, 5362, 267, 476, 837, 333, 540, 10255, 476, 279, 269, 1306, 596, 723, 998, 519, 1224, 10395, 13541, 658, 12005, 5811, 281, 476, 1321, 628, 2902, 520, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15187, 1154, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 645, 1737, 1740, 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, 769, 713, 1576, 1770, 267, 649, 5490, 883, 1585, 8739, 27791, 2152, 4843, 538, 519, 16878, 2546, 1349, 267, 10771, 4683, 4058, 543, 3609, 1369, 519, 5943, 540, 25349, 6436, 269, 634, 3119, 1445, 786, 581, 7421, 519, 3892, 540, 1379, 267, 2200, 267, 543, 4539, 540, 3664, 1500, 676, 5238, 971, 607, 2883, 14078, 543, 519, 4108, 10661, 269, 3958, 267, 649, 4983, 875, 891, 6384, 1764, 1857, 10304, 3292, 267, 3226, 7963, 10070, 4507, 780, 272, 269, 5295, 543, 12754, 17392, 281, 22718, 11038, 11283, 725, 543, 13639, 19372, 906, 692, 26296, 14078, 1419, 29937, 1713, 3310, 1813, 547, 741, 1852, 540, 5318, 2804, 2200, 630, 291, 558, 327, 4752, 1299, 5680, 828, 267, 476, 1001, 272, 1040, 901, 5834, 540, 5763, 666, 1291, 547, 19018, 622, 2797, 1379, 267, 3850, 873, 547, 3337, 9086, 602, 7957, 832, 9746, 4690, 936, 1514, 8171, 27137, 607, 17516, 27710, 9707, 32548, 8083, 1247, 1869, 8366, 532, 10324, 13755, 4926, 269, 1306, 829, 631, 714, 745, 14024, 630, 1001, 274, 1070, 1870, 31794, 8415, 954, 24286, 8689, 919, 267, 4123, 12205, 267, 543, 1589, 13688, 547, 11282, 3646, 2509, 8236, 5551, 4093, 899, 632, 28832, 543, 2539, 9204, 269, 9182, 267, 4747, 8635, 4679, 950, 14078, 18645, 12434, 1510, 5368, 4034, 618, 538, 4074, 3196, 1646, 610, 2146, 6454, 7341, 269, 5047, 267, 713, 19514, 4199, 14305, 12042, 619, 3255, 585, 16057, 10688, 1851, 12790, 2516, 780, 20118, 267, 519, 4108, 10661, 849, 6585, 9645, 32022, 936, 3375, 6194, 3157, 998, 922, 1569, 547, 10373, 16642, 3261, 566, 630, 289, 2393, 267, 476, 1220, 277, 1040, 3683, 942, 267, 1212, 9429, 5692, 7269, 814, 13087, 519, 4972, 540, 16470, 547, 1958, 25209, 2390, 6469, 10350, 11890, 12926, 7307, 676, 3540, 8128, 269, 6270, 703, 6350, 687, 2144, 1712, 12477, 6127, 1898, 585, 4180, 11413, 543, 3743, 19642, 540, 1857, 7482, 269, 1879, 31250, 267, 4108, 8041, 1522, 4497, 538, 30940, 2853, 267, 1519, 1527, 924, 1359, 1055, 8878, 11731, 543, 11651, 1154, 2200, 5921, 585, 19493, 6351, 547, 23786, 6859, 3079, 780, 272, 269, 5081, 13926, 20480, 281, 24167, 5398, 28054, 15789, 543, 32124, 26888, 24727, 692, 763, 3051, 26494, 7678, 540, 1857, 2533, 14556, 5809, 6848, 13103, 2094, 4357, 9988, 3335, 4225, 7443, 5108, 936, 12581, 3028, 11865, 630, 295, 691, 2917, 267, 476, 1220, 276, 1040, 10738, 519, 2796, 540, 7963, 10070, 267, 2487, 5177, 4808, 9414, 713, 7613, 1141, 5491, 832, 5051, 7048, 593, 10728, 12485, 547, 9156, 22440, 7640, 539, 269, 22353, 267, 7925, 5095, 1831, 11630, 547, 7518, 5511, 3800, 1813, 547, 4389, 9431, 23388, 543, 20038, 13840, 2404, 609, 1533, 17907, 3042, 4238, 780, 28885, 7811, 5380, 6508, 689, 595, 269, 19159, 24759, 262, 834, 20175, 4432, 924, 257, 1523, 267, 649, 7747, 875, 8789, 5755, 1431, 16030, 2797, 267, 4108, 267, 543, 2804, 3401, 29050, 27774, 6848, 3889, 5935, 1367, 2729, 630, 300, 1571, 267, 476, 4198, 277, 1040, 13018, 267, 519, 19427, 540, 16918, 989, 31789, 11942, 683, 565, 28515, 19237, 5009, 2344, 2861, 3435, 543, 32033, 7104, 5539, 2509, 5466, 3838, 2591, 269, 9747, 267, 896, 325, 24962, 1857, 9922, 20920, 609, 20387, 7569, 9624, 546, 13388, 1782, 2200, 267, 31328, 9979, 540, 6710, 543, 1514, 17181, 780, 11101, 267, 2565, 18362, 7866, 875, 17531, 29386, 2699, 11746, 29572, 338, 3608, 6765, 540, 1857, 5370, 543, 2533, 267, 2417, 1303, 3402, 532, 11528, 31716, 630, 294, 559, 6975, 1299, 6833, 22641, 267, 476, 1001, 274, 1040, 4475, 267, 556, 19960, 1456, 4244, 3631, 16135, 538, 3741, 540, 29355, 9111, 267, 18497, 17604, 267, 543, 4264, 1646, 3587, 16122, 585, 1266, 754, 1359, 8537, 4872, 17841, 547, 3309, 23466, 262, 2115, 780, 31413, 1773, 22395, 262, 10020, 281, 31197, 543, 21664, 585, 4317, 10456, 692, 2026, 1689, 8069, 267, 4683, 24990, 4865, 2189, 7158, 547, 4161, 17888, 26336, 7957, 1681, 13671, 1379, 543, 2200, 630, 293, 664, 7322, 267, 476, 1001, 271, 1040, 3414, 14223, 543, 5698, 267, 9439, 666, 6536, 12581, 2208, 24551, 5483, 676, 29065, 6278, 543, 2963, 26455, 13422, 1136, 269, 2368, 1761, 2994, 7854, 1384, 268, 30855, 12352, 2066, 10459, 543, 8639, 547, 24244, 9739, 14053, 12250, 6963, 3248, 268, 14146, 532, 1239, 12642, 543, 2773, 14573, 547, 6542, 21374, 1063, 7729, 14954, 14778, 540, 5763, 543, 8801, 1514, 4093, 3248, 567, 910, 22034, 8901, 2079, 2553, 547, 14650, 9830, 540, 22975, 543, 3413, 26475, 267, 7551, 27283, 3270, 8506, 6098, 6304, 3646, 3248, 268, 23889, 29260, 5126, 4485, 1369, 2244, 946, 543, 6283, 4058, 547, 6439, 1518, 3140, 4636, 338, 1102, 21719, 2390, 12790, 2950, 3248, 567, 910, 16792, 3860, 1747, 14708, 16097, 602, 8661, 2686, 4763, 543, 3895, 13784, 1369, 3710, 5054, 780, 3528, 2502, 538, 13710, 2259, 267, 4683, 24990, 3565, 3648, 4724, 14237, 14388, 4683, 8916, 6353, 676, 14619, 267, 6940, 267, 543, 5854, 3599, 269, 11086, 267, 23518, 4961, 8853, 1369, 11215, 8134, 14637, 741, 7915, 1761, 585, 2123, 20106, 543, 18523, 7589, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 303, 550, 6782, 834, 300, 2153, 11511, 788, 2437, 645, 841, 8083, 8750, 539, 676, 12844, 4926, 267, 1715, 32124, 14635, 13832, 454, 3725, 557, 2718, 5240, 15080, 454, 20464, 476, 273, 267, 476, 1220, 280, 454, 19350, 616, 1883, 32461, 540, 1271, 3377, 4930, 596, 949, 723, 14406, 269, 1452, 4930, 1331, 13031, 1344, 593, 519, 946, 540, 27710, 9707, 32548, 719, 7482, 676, 8492, 547, 2628, 519, 13755, 4926, 540, 741, 1283, 26933, 267, 519, 19999, 6782, 781, 834, 3939, 28869, 257, 883, 19742, 22257, 3252, 267, 1007, 772, 14389, 269, 7963, 4015, 4808, 267, 543, 811, 269, 3962, 21626, 568, 3144, 8231, 520, 574, 689, 519, 2101, 2923, 3896, 7396, 693, 519, 3095, 3177, 269, 1403, 1022, 3095, 14543, 547, 1599, 267, 4945, 1934, 269, 6206, 5220, 616, 12006, 585, 1346, 609, 3908, 942, 269, 1635, 7446, 547, 13599, 6000, 543, 547, 3262, 519, 2262, 267, 649, 666, 543, 786, 1628, 513, 17321, 2104, 563, 303, 2529, 269, 3509, 7064, 547, 782, 540, 596, 945, 24603, 2063, 3923, 547, 1489, 938, 960, 269, 1284, 4607, 936, 1269, 276, 267, 1822, 538, 23190, 267, 2614, 547, 3382, 938, 6578, 585, 827, 1079, 3275, 269, 1284, 2285, 2027, 7064, 547, 835, 12391, 20033, 945, 1252, 3585, 24603, 1269, 274, 267, 1822, 269, 1280, 1346, 945, 10093, 1405, 24946, 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, 24205, 1315, 12124, 1315, 12124, 12020, 543, 8889, 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, 7689, 281, 4197, 5871, 23281, 543, 4706, 11957, 692, 5331, 952, 2576, 5143, 596, 602, 4672, 8645, 568, 513, 10448, 1317, 621, 2501, 689, 16933, 267, 799, 3548, 6371, 269, 2107, 1018, 952, 707, 4116, 1767, 602, 596, 1810, 1405, 723, 547, 798, 6780, 15042, 1317, 621, 781, 711, 834, 325, 1515, 22172, 1411, 1131, 4440, 1589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1079, 540, 1684, 788, 2536, 781, 1034, 15116, 13838, 15587, 281, 519, 589, 268, 15389, 268, 272, 23027, 11638, 680, 1512, 594, 543, 589, 268, 15389, 268, 273, 23027, 11638, 680, 1512, 4083, 269, 1452, 723, 1279, 1044, 513, 851, 540, 519, 1684, 788, 2536, 1899, 1575, 267, 3246, 782, 6073, 540, 1253, 25344, 543, 521, 4577, 2681, 725, 269, 589, 268, 15389, 268, 272, 568, 513, 1950, 5951, 19507, 518, 6273, 676, 5929, 6272, 676, 29246, 5055, 543, 5395, 613, 282, 589, 268, 15389, 268, 273, 267, 2705, 267, 10905, 2789, 5123, 6879, 26661, 12215, 540, 513, 2582, 5365, 547, 1711, 19347, 267, 22600, 1194, 8747, 540, 519, 3403, 269, 1452, 616, 6157, 930, 540, 1684, 788, 2536, 781, 1193, 836, 652, 17008, 267, 543, 789, 2811, 849, 930, 540, 519, 1034, 2027, 563, 288, 268, 1691, 311, 281, 3525, 1637, 17796, 454, 763, 589, 268, 1691, 311, 338, 616, 1141, 649, 1265, 938, 17158, 525, 543, 700, 293, 11675, 2059, 609, 930, 4351, 2959, 269, 1452, 616, 519, 13838, 602, 2995, 938, 966, 290, 2026, 950, 547, 1930, 543, 938, 14251, 2209, 875, 547, 530, 984, 1076, 269, 1452, 13838, 616, 519, 1973, 13576, 2429, 519, 30057, 1062, 540, 938, 22606, 1062, 563, 288, 268, 15221, 268, 273, 30579, 2552, 9776, 2037, 975, 324, 31098, 281, 1280, 1034, 3156, 538, 22606, 267, 513, 2241, 1079, 22533, 23508, 786, 798, 519, 8945, 1175, 5386, 269, 1717, 267, 585, 1346, 945, 899, 547, 2170, 609, 513, 13691, 1862, 1492, 589, 268, 15221, 268, 273, 814, 596, 811, 982, 4988, 269, 30579, 1852, 936, 1142, 3942, 568, 1175, 519, 4098, 269, 623, 2255, 519, 30141, 3977, 1394, 883, 519, 22008, 11378, 543, 596, 1205, 606, 12825, 3210, 269, 634, 589, 268, 15221, 268, 273, 849, 814, 4487, 23508, 1377, 22008, 547, 1039, 930, 6991, 8417, 585, 5021, 2769, 4369, 829, 1883, 2046, 563, 288, 268, 15704, 268, 273, 30579, 2552, 9776, 5548, 26359, 700, 23859, 281, 3414, 519, 4999, 540, 606, 700, 23859, 896, 6453, 1852, 267, 513, 966, 7563, 267, 543, 513, 8488, 896, 6453, 1852, 267, 519, 589, 268, 15704, 268, 273, 568, 1776, 1360, 15826, 9074, 602, 2636, 585, 22192, 3350, 538, 513, 15429, 602, 1131, 6382, 2154, 513, 1297, 540, 1114, 13838, 269, 3767, 267, 15069, 596, 1810, 1405, 991, 16607, 12152, 23383, 593, 1169, 15429, 630, 528, 6148, 596, 798, 256, 26834, 286, 1070, 855, 538, 513, 32521, 267, 519, 5548, 26359, 700, 23859, 666, 581, 1031, 585, 922, 1367, 2694, 607, 1134, 563, 288, 268, 14983, 268, 275, 2372, 611, 15932, 30579, 11905, 281, 634, 1684, 788, 2536, 589, 268, 14983, 268, 275, 3091, 2185, 21800, 17016, 602, 12446, 538, 519, 1106, 540, 1312, 3067, 1242, 543, 796, 31642, 1242, 28696, 269, 634, 16517, 3364, 827, 519, 589, 268, 14983, 268, 275, 568, 602, 519, 9074, 2636, 585, 1360, 2656, 7574, 15649, 1759, 1472, 7574, 11996, 269, 634, 3067, 1242, 28696, 1934, 666, 581, 22934, 547, 519, 8884, 596, 3442, 269, 634, 9594, 11378, 616, 2343, 6817, 607, 1134, 267, 865, 538, 2259, 596, 1419, 1152, 991, 835, 547, 9594, 782, 2185, 17016, 269, 898, 781, 513, 476, 275, 554, 335, 6126, 8009, 3684, 563, 11947, 7547, 689, 519, 589, 268, 1691, 311, 10022, 454, 288, 268, 1428, 311, 281, 4210, 9662, 543, 14938, 523, 6203, 454, 763, 589, 268, 1428, 311, 338, 616, 1141, 649, 1265, 938, 942, 2861, 23501, 543, 519, 13838, 602, 2973, 1346, 909, 513, 3787, 269, 14938, 523, 6203, 267, 17176, 267, 543, 3067, 9088, 616, 972, 547, 1450, 721, 547, 1118, 2575, 609, 513, 11144, 540, 4967, 543, 20054, 267, 543, 547, 3866, 538, 1346, 4967, 8308, 609, 930, 5033, 4565, 766, 540, 5283, 21288, 1106, 563, 288, 268, 5611, 268, 279, 4239, 531, 15015, 1315, 30579, 2552, 9776, 5358, 30154, 4210, 9662, 281, 30579, 6417, 17176, 666, 1039, 9748, 540, 8390, 547, 513, 15429, 269, 1306, 519, 2012, 5267, 267, 519, 589, 268, 5611, 268, 279, 3568, 5216, 17176, 602, 666, 581, 13234, 16924, 610, 896, 6453, 1852, 269, 1306, 513, 2241, 946, 267, 6494, 538, 1079, 1114, 9696, 543, 6467, 1063, 873, 593, 835, 6467, 269, 2060, 5216, 540, 891, 267, 972, 568, 513, 2603, 540, 7872, 547, 1832, 513, 15429, 3001, 563, 288, 268, 14028, 1323, 11530, 20081, 3419, 3455, 14938, 27247, 281, 634, 589, 268, 14028, 568, 606, 5393, 1404, 762, 3524, 27247, 9788, 856, 609, 4055, 585, 1142, 1367, 1900, 547, 581, 14661, 1510, 519, 946, 540, 27487, 610, 7735, 2036, 657, 269, 634, 12153, 616, 9859, 547, 519, 17016, 3842, 17176, 602, 666, 581, 1166, 5792, 547, 3533, 1689, 1919, 909, 593, 519, 8038, 269, 634, 1840, 540, 519, 5007, 5365, 11378, 829, 1900, 593, 519, 5377, 4737, 540, 22008, 15971, 568, 11212, 1187, 267, 543, 2636, 585, 3552, 7648, 593, 1018, 1131, 7363, 581, 1175, 606, 476, 279, 1900, 5311, 563, 288, 268, 14444, 32680, 10829, 6500, 281, 634, 589, 268, 14444, 786, 4196, 513, 1454, 32571, 1909, 538, 519, 1684, 788, 2536, 5117, 540, 12746, 3524, 523, 6203, 269, 4595, 930, 540, 519, 1187, 540, 519, 589, 268, 14028, 568, 602, 621, 781, 865, 2656, 547, 7369, 519, 5311, 267, 621, 781, 1360, 2653, 547, 1205, 1055, 3950, 538, 513, 811, 5283, 21288, 4062, 540, 2575, 269, 634, 589, 268, 14444, 786, 7485, 1346, 30065, 8486, 2583, 1394, 883, 519, 4336, 596, 1305, 593, 519, 9074, 269, 2107, 267, 585, 513, 1187, 3787, 540, 22606, 530, 19123, 787, 267, 2119, 1152, 3067, 1944, 950, 596, 3442, 676, 11488, 538, 513, 9594, 563, 29394, 781, 8074, 281, 634, 9966, 1076, 589, 268, 14681, 281, 634, 1684, 788, 2536, 589, 268, 14681, 267, 1498, 796, 817, 11167, 267, 568, 3362, 835, 540, 741, 1655, 5498, 29818, 13838, 540, 782, 942, 269, 901, 2241, 9074, 568, 513, 476, 275, 3562, 268, 272, 610, 476, 272, 3562, 268, 275, 18615, 6467, 267, 2966, 547, 1450, 596, 547, 2824, 1063, 2789, 2959, 610, 18353, 538, 1931, 3274, 676, 11488, 538, 513, 2582, 9594, 269, 15154, 1394, 936, 513, 8717, 267, 519, 589, 268, 14681, 2731, 6591, 8560, 1310, 519, 4367, 540, 5269, 30433, 781, 16242, 18745, 1341, 4858, 1231, 15971, 1062, 269, 1635, 11488, 519, 1614, 9343, 856, 540, 16242, 18745, 883, 1614, 540, 589, 268, 14681, 781, 11378, 543, 24254, 519, 589, 268, 14681, 2899, 829, 4783, 998, 519, 5311, 267, 596, 666, 3035, 1950, 476, 2190, 9912, 9696, 689, 1018, 1131, 6382, 1152, 581, 606, 5216, 9912, 3524, 27247, 269, 898, 781, 513, 5929, 22606, 15429, 8945, 267, 543, 589, 268, 14681, 2306, 621, 1502, 32079, 630, 531, 784, 609, 1082, 267, 1082, 824, 15931, 15429, 2093, 1916, 288, 268, 1626, 311, 281, 1849, 1442, 1315, 19835, 1315, 7913, 20603, 3525, 2737, 454, 763, 589, 268, 1626, 311, 338, 616, 13838, 1759, 1472, 9219, 610, 10766, 6786, 543, 2081, 547, 12189, 610, 1852, 873, 269, 3371, 649, 723, 519, 3900, 619, 543, 12750, 4536, 602, 1450, 721, 547, 1711, 6310, 3347, 1063, 835, 9219, 5365, 543, 1776, 269, 901, 3296, 849, 3568, 519, 7954, 1759, 13838, 799, 1450, 721, 547, 946, 1079, 6786, 547, 1711, 513, 3791, 563, 288, 268, 8182, 268, 273, 1849, 1442, 1315, 17832, 3455, 29435, 518, 4083, 281, 634, 589, 268, 8182, 268, 273, 3217, 513, 9219, 610, 9594, 6908, 543, 17337, 621, 676, 606, 2179, 1759, 593, 519, 17176, 693, 519, 1283, 540, 519, 9074, 543, 519, 3977, 13544, 6074, 269, 898, 17337, 4358, 689, 3368, 519, 4908, 540, 519, 3312, 6908, 1524, 547, 476, 272, 270, 12553, 540, 602, 6908, 269, 634, 17176, 693, 519, 1283, 267, 799, 3313, 875, 1919, 616, 5258, 267, 1450, 585, 513, 22510, 2179, 540, 11539, 689, 519, 3044, 6498, 540, 519, 4505, 589, 268, 8182, 268, 272, 563, 288, 268, 8182, 268, 276, 30579, 2552, 9776, 1849, 1442, 11638, 680, 1512, 1315, 13158, 3832, 1154, 2552, 28948, 281, 634, 589, 268, 8182, 268, 276, 12750, 625, 9219, 12535, 267, 3976, 3850, 585, 519, 5137, 540, 3731, 3832, 1206, 543, 824, 4277, 24754, 2360, 269, 634, 966, 290, 1849, 1442, 12750, 1512, 786, 9062, 1759, 593, 519, 22008, 2179, 2366, 883, 519, 22008, 13544, 563, 30131, 547, 4063, 281, 634, 589, 268, 8182, 268, 276, 786, 1491, 513, 7008, 30390, 540, 519, 9219, 547, 24644, 267, 3274, 1317, 540, 519, 2470, 540, 875, 513, 9219, 12750, 1512, 1568, 563, 288, 268, 14341, 32680, 17832, 3455, 5548, 599, 5192, 1055, 519, 7470, 812, 256, 634, 589, 268, 14341, 2636, 585, 519, 14461, 12557, 540, 3067, 1242, 12153, 547, 3138, 4923, 909, 513, 3787, 269, 9282, 621, 779, 1271, 547, 723, 519, 3334, 540, 513, 11733, 3950, 9395, 2614, 547, 3180, 1927, 1862, 527, 666, 581, 8449, 1271, 547, 723, 873, 711, 1745, 865, 14461, 865, 607, 547, 1205, 19309, 610, 16625, 269, 634, 589, 268, 14341, 6104, 8460, 713, 676, 2921, 513, 3950, 540, 12153, 543, 8488, 532, 922, 12614, 676, 606, 2179, 1305, 593, 519, 4395, 8470, 563, 8170, 1576, 267, 713, 666, 849, 581, 13561, 585, 20547, 13581, 12557, 2152, 538, 707, 1062, 1765, 839, 1005, 602, 3388, 3515, 909, 4010, 519, 1259, 602, 596, 1616, 621, 563, 11947, 7547, 689, 519, 589, 268, 1626, 311, 10022, 454, 288, 268, 1704, 311, 281, 30579, 6713, 832, 1299, 30579, 17796, 454, 763, 589, 268, 1704, 311, 338, 2270, 513, 21318, 540, 782, 3483, 6453, 2959, 610, 21932, 269, 3371, 649, 1265, 1919, 899, 6453, 12679, 1562, 543, 11739, 342, 3970, 619, 267, 855, 849, 17120, 2861, 13838, 899, 1110, 14743, 610, 1883, 15236, 269, 634, 589, 268, 1704, 311, 338, 1577, 721, 1205, 3946, 6823, 609, 938, 1062, 563, 288, 268, 14378, 268, 273, 30579, 2552, 9776, 590, 548, 342, 6713, 528, 1315, 31098, 281, 634, 589, 268, 14378, 268, 273, 568, 835, 540, 1346, 13838, 602, 666, 581, 513, 2603, 540, 1114, 1919, 1759, 593, 875, 596, 15429, 621, 269, 898, 781, 1759, 593, 519, 1381, 5929, 32680, 17629, 32437, 31098, 267, 8385, 2813, 676, 5395, 613, 570, 322, 1877, 335, 333, 514, 585, 519, 476, 3192, 271, 338, 5395, 613, 3525, 983, 8535, 3590, 282, 855, 2864, 982, 5356, 1079, 9055, 540, 4393, 267, 519, 589, 268, 14378, 268, 273, 568, 513, 2582, 7302, 14128, 9386, 11718, 563, 11917, 16227, 267, 621, 666, 581, 513, 11739, 342, 16267, 267, 855, 621, 666, 849, 581, 606, 700, 23859, 267, 513, 15427, 23508, 267, 513, 700, 22333, 267, 513, 1016, 327, 1301, 4577, 11718, 267, 610, 513, 9594, 8488, 269, 1703, 568, 6157, 513, 1747, 585, 519, 589, 268, 14378, 268, 273, 538, 5176, 1022, 15429, 32503, 3513, 1265, 602, 621, 666, 1683, 2147, 2164, 547, 513, 2582, 8756, 540, 5269, 30433, 781, 13174, 543, 824, 5395, 613, 23402, 6272, 563, 288, 268, 14690, 268, 275, 476, 274, 291, 20717, 22496, 281, 634, 1684, 788, 2536, 589, 268, 14690, 268, 275, 543, 922, 7772, 22496, 616, 24188, 540, 1412, 3199, 338, 543, 1412, 3445, 338, 9095, 1228, 3756, 11652, 621, 2965, 1568, 538, 1614, 7516, 607, 10353, 547, 519, 3044, 476, 273, 269, 634, 7772, 22496, 814, 519, 3044, 2473, 543, 962, 7852, 855, 849, 814, 513, 2189, 15914, 8258, 593, 519, 1283, 547, 1039, 513, 2098, 834, 323, 574, 3290, 1701, 3958, 267, 519, 9133, 540, 519, 7772, 22496, 814, 513, 7735, 585, 11488, 856, 19235, 693, 786, 269, 30474, 2234, 563, 288, 268, 9692, 268, 273, 8752, 4211, 2632, 9776, 22008, 27798, 622, 11905, 281, 634, 589, 268, 9692, 268, 273, 666, 2965, 581, 2938, 607, 519, 6337, 17567, 3448, 540, 519, 589, 268, 15686, 269, 634, 9074, 3217, 606, 3403, 5365, 543, 17838, 602, 883, 6453, 543, 513, 10766, 1759, 593, 513, 1305, 12939, 269, 901, 942, 2705, 267, 602, 3403, 5365, 568, 1769, 2864, 982, 5007, 8301, 256, 2422, 585, 30462, 1852, 689, 707, 1604, 267, 610, 3142, 2059, 707, 8755, 2775, 585, 1685, 894, 2360, 563, 288, 268, 1240, 311, 281, 589, 5060, 18416, 3525, 2737, 1315, 3525, 13294, 1315, 12186, 454, 763, 13557, 540, 519, 1964, 540, 519, 1198, 13838, 616, 1336, 538, 519, 589, 268, 1240, 311, 2039, 269, 5548, 904, 267, 3787, 19854, 267, 543, 1256, 519, 3818, 1198, 630, 288, 268, 6942, 268, 272, 264, 616, 1336, 1934, 269, 898, 4667, 602, 1684, 788, 2536, 849, 12662, 930, 540, 519, 824, 13838, 602, 1810, 1405, 3833, 3514, 883, 824, 6688, 1934, 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 ]
[ 815, 1775, 284, 272, 562, 630, 344, 328, 1535, 328, 6567, 586, 328, 1535, 2485, 363, 6629, 344, 2485, 363, 3495, 1341, 586, 2485, 363, 343, 2485, 363, 264, 562, 562, 815, 1775, 284, 272, 562, 586, 328, 1535, 328, 6567, 1535, 2485, 363, 1775, 284, 272, 586, 328, 6567, 586, 2485, 363, 1775, 284, 272, 562, 1535, 328, 1341, 562, 344, 2485, 363, 343, 2485, 363, 1535, 328, 1341, 562, 344, 1535, 2485, 363, 264, 815, 1775, 284, 272, 562, 586, 328, 1535, 328, 6567, 1535, 2485, 363, 562, 344, 2485, 363, 6629, 344, 2485, 363, 1775, 284, 272, 562, 815, 1775, 284, 272, 586, 328, 1535, 328, 6567, 586, 2485, 363, 1775, 284, 272, 1535, 328, 1547, 799, 568, 4010, 519, 19362, 538, 17817, 630, 278, 1040, 621, 786, 581, 10375, 547, 547, 27682, 476, 24994, 16061, 607, 476, 24994, 284, 16061, 562, 1775, 284, 272, 630, 3495, 562, 1775, 284, 272, 630, 3495, 6567, 343, 2485, 363, 264, 344, 328, 1547, 2311, 824, 2053, 780, 24994, 281, 16061, 12307, 630, 278, 1040, 1924, 269, 1284, 1034, 1419, 946, 17817, 630, 279, 1040, 17817, 630, 280, 264, 786, 1419, 2097, 538, 13561, 269, 562, 630, 344, 328, 6567, 586, 2485, 363, 264, 815, 476, 271, 269, 4777, 865, 269, 630, 279, 1040, 6684, 269, 855, 269, 543, 630, 280, 1040, 543, 13974, 269, 519, 14009, 538, 17817, 630, 279, 264, 666, 581, 9450, 547, 2285, 562, 562, 630, 3495, 6567, 1535, 2485, 363, 264, 273, 1775, 284, 272, 815, 1775, 284, 272, 562, 27883, 3495, 6567, 1535, 2485, 363, 264, 3495, 6567, 630, 3495, 6567, 1535, 2485, 363, 264, 382, 363, 1535, 316, 562, 815, 1775, 284, 272, 562, 630, 3495, 6567, 1535, 2485, 363, 264, 3495, 6567, 1535, 2485, 363, 1775, 284, 272, 630, 3495, 6567, 1535, 2485, 363, 264, 815, 1775, 284, 272, 562, 630, 3495, 6567, 1535, 2485, 363, 264, 3495, 6567, 476, 271, 630, 3495, 6567, 1535, 2485, 363, 264, 3495, 1547, 621, 568, 5363, 547, 8275, 602, 562, 562, 630, 3495, 6567, 1535, 2485, 363, 264, 1775, 284, 272, 815, 1775, 284, 272, 1535, 328, 6567, 562, 343, 2485, 363, 815, 562, 343, 6567, 562, 343, 2485, 363, 815, 476, 271, 269, 519, 19362, 538, 17817, 630, 279, 264, 666, 581, 9450, 547, 2285, 562, 562, 630, 3495, 6567, 1535, 2485, 363, 7565, 344, 328, 6567, 586, 2485, 363, 264, 1775, 284, 272, 815, 1775, 284, 272, 562, 27883, 3495, 6567, 1535, 2485, 363, 264, 344, 328, 6567, 630, 3495, 6567, 1535, 2485, 363, 264, 382, 363, 586, 316, 562, 815, 1775, 284, 272, 562, 630, 3495, 6567, 1535, 2485, 363, 264, 344, 328, 6567, 586, 2485, 363, 1775, 284, 272, 630, 3495, 6567, 1535, 2485, 363, 264, 815, 1775, 284, 272, 562, 630, 3495, 6567, 1535, 2485, 363, 264, 344, 328, 6567, 476, 271, 630, 3495, 6567, 1535, 2485, 363, 264, 344, 328, 1547, 649, 723, 1614, 1019, 471, 5166, 630, 8117, 6697, 264, 7215, 585, 3296, 269, 1775, 284, 272, 3767, 269, 1775, 284, 272, 815, 799, 568, 519, 19362, 538, 17817, 630, 280, 1040, 1775, 284, 272, 815, 799, 568, 519, 14009, 538, 17817, 630, 280, 1040, 607, 649, 786, 1294, 538, 519, 1985, 476, 2918, 16317, 4131, 781, 1376, 609, 476, 24994, 269, 901, 13429, 1281, 711, 723, 5176, 607, 1804, 606, 1764, 593, 519, 3601, 540, 744, 11862, 3934, 2209, 607, 519, 594, 2839, 13429, 269, 21566, 340, 15426, 1547, 1547, 1547, 6567, 343, 2485, 363, 264, 3495, 476, 24994, 815, 16061, 815, 14668, 562, 1775, 284, 272, 630, 3495, 6567, 343, 2485, 363, 264, 1341, 16061, 6567, 476, 271, 266, 15512, 562, 1775, 284, 272, 630, 3495, 562, 1775, 284, 272, 630, 3495, 562, 1775, 284, 272, 630, 3495, 562, 1775, 284, 272, 630, 3495, 562, 562, 2485, 363, 264, 3495, 1341, 1775, 284, 272, 630, 3495, 1775, 284, 272, 630, 3495, 6567, 1535, 562, 2485, 363, 264, 3495, 1775, 284, 272, 630, 3495, 6567, 1535, 562, 1535, 2485, 363, 264, 3495, 1341, 1775, 284, 272, 630, 3495, 6567, 1535, 2485, 363, 264, 14241, 6567, 343, 2485, 363, 264, 14241, 6567, 343, 2485, 363, 264, 3495, 630, 1015, 264, 815, 16061, 266, 6567, 343, 2485, 363, 264, 14241, 1547, 649, 723, 562, 1775, 284, 272, 630, 3495, 562, 1775, 284, 272, 630, 3495, 6567, 343, 2485, 363, 7565, 10382, 1341, 16061, 3495, 1341, 579, 328, 3738, 1547, 476, 24994, 16061, 568, 28102, 269, 649, 723, 14668, 476, 24994, 815, 476, 272, 562, 562, 476, 24994, 343, 586, 328, 6567, 16061, 2485, 363, 269, 649, 786, 849, 8263, 602, 1535, 328, 1547, 6567, 343, 2485, 363, 264, 14241, 6567, 343, 2485, 363, 264, 3495, 562, 2485, 363, 264, 292, 630, 14241, 3738, 1775, 284, 272, 630, 3495, 6567, 1535, 562, 630, 1535, 6567, 1535, 2485, 363, 264, 3495, 1775, 1775, 284, 272, 2094, 661, 630, 14241, 3738, 815, 476, 271, 269, 649, 12990, 585, 586, 328, 538, 17817, 630, 280, 264, 689, 17817, 630, 274, 2567, 476, 24994, 284, 16061, 5564, 28745, 998, 269, 585, 1142, 579, 328, 1547, 607, 649, 3356, 269, 855, 786, 1118, 519, 1739, 2079, 513, 2370, 4443, 269, 1717, 269, 6567, 343, 2485, 363, 264, 3495, 476, 24994, 281, 16061, 562, 1775, 284, 272, 630, 3495, 562, 1775, 284, 272, 630, 3495, 8921, 269, 16061, 1677, 798, 865, 269, 562, 616, 711, 681, 26394, 269, 634, 476, 472, 337, 560, 2243, 649, 1616, 547, 2307, 568, 2436, 610, 711, 744, 11862, 3934, 2209, 616, 28102, 269, 476, 273, 579, 328, 3980, 376, 594, 2839, 263, 271, 269, 1924, 269, 1775, 284, 272, 476, 2767, 1547, 769, 1840, 269, 649, 476, 472, 526, 519, 4397, 1871, 540, 476, 24994, 264, 661, 630, 15512, 815, 661, 16061, 266, 815, 16061, 266, 815, 16061, 269, 649, 786, 6001, 713, 13429, 543, 1294, 875, 519, 3601, 540, 744, 11862, 3934, 2209, 1689, 269, 273, 16544, 540, 744, 11862, 3934, 2209, 540, 536, 21725, 5276, 9695, 3631, 634, 3601, 540, 744, 11862, 3934, 2209, 4096, 593, 519, 3601, 540, 519, 5470, 2474, 538, 519, 5276, 9695, 2203, 649, 616, 21501, 269, 3245, 17817, 630, 277, 1040, 2913, 781, 1631, 1847, 593, 547, 14668, 476, 24994, 269, 1280, 1631, 269, 1775, 815, 476, 272, 269, 274, 269, 1547, 649, 786, 8263, 602, 780, 933, 723, 661, 630, 24994, 14668, 264, 476, 24994, 264, 1341, 815, 661, 14668, 21147, 2485, 363, 263, 15512, 6567, 16061, 476, 272, 562, 562, 579, 328, 1775, 284, 272, 562, 476, 24994, 13580, 1341, 476, 272, 815, 14668, 21147, 2485, 363, 314, 15512, 6567, 661, 630, 15512, 562, 815, 14668, 21147, 2485, 363, 263, 15512, 6567, 16061, 3738, 815, 14668, 1924, 269, 24430, 263, 15512, 3245, 17817, 630, 1015, 1040, 562, 630, 1535, 6567, 1535, 2485, 363, 264, 273, 1775, 284, 272, 1775, 22896, 362, 562, 476, 273, 22896, 373, 22896, 375, 269, 1775, 284, 272, 630, 1556, 264, 14668, 476, 24994, 269, 1577, 781, 6338, 930, 1007, 10035, 269, 4595, 28102, 269, 476, 24994, 264, 815, 661, 22896, 364, 24430, 263, 15512, 1775, 284, 272, 5890, 21505, 713, 269, 661, 630, 14241, 3738, 1775, 284, 272, 14668, 476, 24994, 568, 849, 28102, 269, 2913, 737, 328, 815, 865, 602, 630, 3495, 6567, 1535, 2485, 363, 264, 1547, 649, 723, 14668, 476, 24994, 815, 476, 272, 562, 562, 476, 24994, 343, 630, 10382, 1341, 16061, 3495, 1341, 579, 328, 3738, 6567, 16061, 2485, 363, 1775, 284, 272, 562, 562, 815, 476, 272, 476, 24994, 343, 562, 10382, 1341, 16061, 1535, 328, 1341, 579, 328, 3738, 6567, 16061, 2485, 363, 562, 1775, 284, 272, 1775, 284, 272, 476, 272, 562, 562, 815, 14668, 1341, 16061, 343, 2485, 363, 266, 476, 24994, 343, 6567, 15512, 2485, 363, 1775, 284, 272, 562, 476, 24994, 264, 1341, 476, 272, 815, 14668, 21147, 2485, 363, 263, 15512, 6567, 16061, 562, 14171, 519, 4397, 1871, 540, 579, 328, 1547, 6271, 1271, 3959, 540, 744, 11862, 3934, 2209, 568, 741, 13065, 269, 649, 723, 476, 24994, 16061, 568, 476, 24994, 264, 815, 661, 27883, 15512, 476, 24994, 6567, 16061, 3738, 273, 476, 4940, 713, 1797, 476, 24994, 264, 815, 661, 24430, 263, 15512, 562, 1775, 284, 272, 630, 3495, 562, 1775, 284, 272, 630, 3495, 6567, 343, 2485, 363, 264, 14241, 6567, 343, 2485, 363, 264, 3495, 476, 273, 1677, 1118, 7829, 519, 2165, 538, 23049, 513, 2370, 4443, 2529, 889, 560, 23082, 585, 586, 328, 689, 17817, 630, 274, 1040, 649, 723, 737, 328, 579, 328, 22896, 362, 476, 24994, 264, 24430, 263, 15512, 815, 661, 427, 352, 364, 562, 476, 273, 476, 273, 737, 328, 579, 328, 1341, 476, 273, 1775, 284, 272, 562, 6629, 272, 562, 22896, 373, 737, 328, 737, 329, 579, 328, 579, 329, 22896, 375, 1775, 284, 272, 795, 815, 328, 266, 272, 476, 2764, 16317, 1721, 782, 1775, 815, 795, 269, 4595, 14668, 476, 24994, 568, 28102, 269, 1924, 269, 562, 2485, 363, 264, 273, 1775, 284, 272, 630, 3495, 6567, 1535, 14668, 476, 24994, 269, 568, 594, 2839, 630, 663, 4061, 19250, 967, 788, 523, 268, 2094, 649, 723, 10924, 602, 1142, 7202, 689, 835, 1776, 1040, 333, 562, 6629, 272, 476, 273, 737, 328, 661, 630, 340, 273, 1775, 264, 1341, 476, 273, 562, 815, 1775, 284, 272, 737, 328, 737, 329, 661, 630, 14241, 579, 329, 15426, 5469, 602, 476, 273, 661, 630, 340, 273, 1775, 3738, 815, 21566, 340, 2094, 476, 273, 21566, 340, 815, 24430, 263, 14241, 3738, 815, 661, 1496, 14241, 6567, 661, 630, 14241, 3738, 316, 273, 815, 661, 630, 340, 273, 1775, 264, 5822, 269, 649, 723, 661, 630, 14241, 579, 329, 3738, 815, 661, 630, 14241, 3738, 292, 630, 340, 329, 3738, 815, 476, 271, 269, 713, 1797, 22896, 360, 24430, 263, 24994, 14668, 264, 476, 24994, 264, 1341, 476, 272, 815, 661, 427, 352, 511, 1535, 2485, 363, 263, 15512, 6567, 16061, 562, 22896, 362, 562, 476, 273, 22896, 370, 22896, 372, 562, 476, 273, 579, 328, 1775, 284, 272, 22896, 373, 22896, 375, 476, 24994, 264, 273, 1341, 476, 273, 382, 363, 476, 24994, 264, 1341, 476, 272, 815, 661, 22896, 364, 343, 2485, 363, 273, 630, 15512, 6567, 16061, 1535, 263, 15512, 6567, 16061, 562, 273, 579, 328, 1775, 284, 272, 22896, 360, 22896, 370, 562, 562, 6629, 272, 562, 476, 272, 476, 24994, 264, 273, 9948, 1341, 476, 273, 382, 363, 476, 24994, 13580, 1341, 815, 1535, 2485, 363, 273, 661, 27883, 15512, 6567, 16061, 1535, 314, 15512, 6567, 661, 630, 15512, 661, 427, 352, 511, 579, 273, 579, 328, 579, 329, 22896, 372, 1775, 1341, 273, 562, 273, 1775, 284, 272, 1775, 284, 272, 795, 815, 328, 266, 272, 476, 3066, 1547, 579, 328, 562, 476, 24994, 264, 24430, 263, 15512, 815, 476, 273, 21566, 340, 1775, 284, 272, 562, 476, 273, 737, 328, 476, 273, 815, 21566, 340, 1775, 284, 272, 476, 273, 21566, 340, 630, 3495, 6567, 1535, 2485, 363, 264, 562, 2485, 363, 264, 273, 1775, 284, 272, 630, 3495, 6567, 1535, 562, 476, 273, 1775, 284, 272, 476, 273, 815, 815, 1284, 1631, 1847, 593, 547, 1496, 630, 3495, 6567, 1535, 2485, 363, 264, 273, 9948, 630, 3495, 6567, 1535, 2485, 363, 264, 273, 476, 273, 21566, 340, 1547, 1775, 284, 272, 795, 815, 328, 266, 272, 5565, 1919, 1058, 581, 7805, 1934, 281, 3689, 269, 649, 723, 24430, 263, 10382, 476, 24994, 3738, 815, 661, 27883, 24994, 14668, 6567, 14668, 264, 273, 476, 4940, 3245, 17817, 630, 1556, 6393, 343, 2485, 363, 273, 562, 1775, 284, 272, 630, 3495, 6567, 343, 2485, 363, 264, 273, 9717, 519, 13065, 540, 744, 11862, 3934, 2209, 269, 562, 476, 391, 506, 264, 661, 630, 15512, 815, 661, 476, 24994, 266, 16061, 1775, 284, 272, 562, 530, 328, 586, 328, 530, 328, 586, 328, 1775, 284, 272, 815, 16061, 266, 292, 1547, 901, 10522, 602, 562, 476, 391, 506, 815, 16061, 1775, 284, 272, 562, 630, 7288, 1341, 530, 328, 3738, 344, 328, 562, 815, 1775, 284, 272, 737, 328, 586, 328, 1341, 1775, 284, 272, 562, 530, 328, 586, 328, 630, 1321, 264, 476, 24994, 266, 815, 16061, 1775, 284, 272, 14171, 6788, 269, 1577, 781, 2015, 930, 5276, 269, 649, 786, 6961, 713, 1152, 585, 4635, 519, 12821, 1380, 5336, 1046, 990, 11532, 19154, 16604, 634, 2829, 602, 269, 476, 24994, 269, 3767, 269, 476, 1789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 523, 952, 2451, 856, 269, 6271, 2856, 568, 547, 1711, 1792, 6545, 610, 2220, 597, 3149, 540, 2681, 609, 513, 11453, 610, 21491, 1157, 585, 513, 2261, 16940, 1198, 269, 17006, 538, 17285, 8869, 666, 2285, 707, 960, 1256, 811, 2189, 10155, 267, 607, 1134, 607, 4946, 3677, 20004, 2861, 5536, 899, 1350, 7867, 1166, 1389, 610, 544, 3821, 1166, 1389, 585, 9403, 563, 8794, 5277, 24470, 936, 32314, 23416, 666, 2285, 596, 513, 23704, 267, 811, 1256, 2681, 1267, 267, 2705, 267, 5277, 7801, 786, 1419, 6094, 856, 519, 678, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 9828, 1315, 2274, 1430, 1740, 1299, 31674, 1740, 1315, 29325, 4370, 543, 5685, 5109, 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, 6276, 4793, 2023, 18722, 281, 589, 5530, 538, 15557, 543, 11154, 1464, 538, 8648, 540, 19822, 692, 7072, 912, 22117, 532, 998, 2053, 540, 6433, 3340, 513, 2189, 1305, 540, 1983, 602, 5512, 2043, 547, 6330, 1950, 3871, 1247, 4509, 741, 735, 3837, 543, 7029, 547, 741, 5692, 269, 634, 1272, 543, 4876, 540, 6276, 4793, 2023, 18722, 2709, 3407, 4030, 883, 875, 3401, 666, 3082, 547, 4657, 6381, 543, 3136, 547, 4196, 1346, 945, 4096, 593, 873, 269, 901, 3184, 786, 2263, 18722, 779, 3460, 689, 513, 9621, 2875, 540, 4915, 547, 4742, 513, 9952, 3595, 8783, 267, 6313, 519, 1883, 3664, 543, 2621, 602, 8032, 1010, 5718, 6138, 543, 1935, 780, 4089, 594, 281, 7216, 5020, 543, 4065, 454, 29820, 538, 17906, 538, 476, 9264, 273, 267, 18722, 6170, 1454, 540, 1010, 6107, 538, 17996, 543, 14967, 269, 3571, 2038, 2069, 1128, 2683, 538, 1864, 513, 2178, 960, 2802, 545, 543, 513, 6612, 585, 1565, 269, 1879, 5185, 609, 513, 1920, 2883, 6433, 1282, 1010, 3803, 1032, 693, 16962, 6481, 5441, 267, 18722, 7152, 6043, 676, 13059, 1753, 543, 13197, 4244, 1797, 540, 5885, 5128, 543, 1010, 6068, 3283, 269, 3414, 713, 1995, 267, 646, 4121, 20250, 519, 2956, 540, 4199, 6888, 543, 8990, 538, 8236, 835, 779, 3853, 780, 4089, 4083, 281, 19396, 3690, 1431, 910, 3245, 6925, 547, 4521, 543, 15348, 454, 5475, 1373, 7142, 547, 10205, 1010, 13287, 540, 513, 2564, 4110, 267, 18722, 5828, 1010, 3007, 547, 4974, 1876, 269, 1635, 7311, 1010, 5676, 1441, 14820, 543, 7214, 7279, 547, 713, 1007, 2361, 267, 646, 3533, 4597, 539, 543, 3964, 513, 3811, 3656, 2259, 538, 670, 1716, 18372, 267, 14967, 269, 769, 1840, 547, 2679, 513, 14762, 1870, 267, 18722, 2968, 5051, 3238, 538, 2199, 6214, 267, 5555, 7674, 607, 513, 11347, 538, 1312, 519, 14967, 3557, 22694, 1155, 543, 519, 8419, 1530, 20896, 13482, 269, 10801, 891, 13289, 267, 18722, 9863, 740, 30794, 693, 15268, 547, 1007, 5054, 543, 3384, 519, 2556, 6791, 547, 8011, 538, 3309, 5468, 780, 4089, 8633, 281, 29460, 513, 4787, 2683, 9605, 12751, 454, 4517, 3205, 779, 2797, 4876, 3357, 547, 606, 1439, 950, 646, 7608, 513, 2990, 607, 513, 3595, 8783, 538, 513, 2101, 2475, 2749, 269, 6736, 2348, 1100, 6101, 2866, 610, 1995, 538, 6595, 2533, 267, 646, 11573, 3042, 1010, 4540, 5578, 5036, 31251, 7580, 3206, 267, 2792, 267, 543, 1966, 6061, 23121, 1831, 513, 3810, 2500, 6205, 1369, 713, 1007, 6389, 269, 7201, 1010, 5583, 267, 3210, 2053, 4824, 3648, 267, 27907, 1851, 5234, 2799, 267, 543, 2949, 2146, 9547, 6603, 13778, 2157, 269, 5015, 267, 18722, 1500, 621, 513, 10862, 547, 1902, 538, 3318, 1646, 3255, 585, 1010, 2319, 2818, 267, 5807, 513, 2528, 540, 6024, 6454, 543, 2208, 780, 4089, 10001, 281, 19484, 9197, 2478, 543, 23227, 908, 26504, 454, 9961, 1010, 26022, 607, 513, 3595, 8783, 267, 18722, 5185, 3875, 2591, 267, 1519, 6578, 10148, 267, 4074, 13882, 267, 543, 2067, 12469, 269, 13298, 982, 13151, 17741, 547, 2604, 267, 646, 9846, 10268, 11419, 896, 3595, 543, 9738, 1010, 1445, 593, 4180, 1857, 3106, 269, 14301, 2390, 1010, 2250, 2833, 267, 18722, 2919, 5499, 3435, 547, 2232, 10296, 2152, 267, 1419, 23712, 5702, 609, 824, 8639, 543, 5275, 3403, 689, 4966, 538, 4143, 4610, 269, 5047, 267, 646, 7283, 8149, 547, 30176, 11413, 543, 12477, 2429, 891, 3157, 267, 11744, 26772, 8699, 1256, 9624, 14488, 780, 6962, 912, 763, 1650, 540, 6276, 4793, 2023, 18722, 5713, 607, 513, 3532, 12576, 540, 519, 1761, 585, 1480, 6043, 543, 13916, 538, 2053, 540, 6433, 269, 3414, 1010, 9867, 4876, 18330, 267, 18722, 7604, 1078, 7415, 17545, 267, 18094, 267, 543, 11428, 547, 17284, 269, 4653, 779, 3595, 8783, 338, 666, 1451, 1454, 689, 1010, 1383, 267, 3226, 538, 2474, 540, 8508, 1689, 267, 10115, 538, 2123, 543, 10721, 1646, 267, 543, 6967, 32344, 569, 5059, 593, 741, 13485, 5103, 9465, 269, 1635, 900, 6819, 18722, 779, 5718, 7907, 267, 4207, 3595, 3028, 4648, 616, 1732, 9280, 547, 1291, 3927, 998, 4101, 2053, 543, 2327, 519, 4797, 8171, 540, 741, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7246, 297, 3036, 8566, 2894, 2207, 3201, 808, 4456, 2464, 623, 2969, 307, 2177, 6730, 8991, 2177, 454, 22832, 4793, 2023, 18722, 630, 21938, 476, 1626, 267, 476, 9264, 273, 1107, 5181, 476, 736, 267, 476, 6942, 273, 264, 729, 606, 1977, 10629, 267, 15818, 267, 543, 22267, 267, 1034, 16113, 7674, 607, 513, 2136, 2276, 6837, 2006, 689, 519, 6115, 24540, 267, 513, 14967, 1533, 9777, 1807, 267, 543, 513, 15518, 622, 693, 519, 8419, 1533, 694, 20896, 15007, 547, 11198, 689, 519, 2136, 2276, 563, 257, 15031, 2023, 257, 18722, 729, 4535, 2282, 12736, 17998, 538, 15284, 6019, 267, 17906, 269, 1306, 513, 1762, 7911, 267, 646, 6410, 609, 1010, 1920, 547, 17996, 538, 476, 8146, 272, 267, 1141, 646, 5030, 585, 1034, 540, 1010, 6689, 267, 543, 1287, 547, 14967, 538, 476, 8146, 279, 269, 1261, 13984, 519, 2564, 1153, 540, 16962, 5441, 538, 2052, 976, 7921, 267, 12425, 538, 476, 7277, 271, 267, 1354, 513, 1920, 2883, 6433, 7142, 1864, 547, 11198, 513, 2110, 942, 1354, 22692, 538, 476, 7277, 273, 269, 17652, 1310, 1010, 2132, 1753, 267, 589, 837, 1606, 517, 3459, 8026, 4915, 563, 3891, 6594, 1876, 693, 8053, 13427, 4521, 3427, 538, 7671, 3228, 267, 8230, 2389, 13806, 267, 543, 729, 15861, 547, 519, 3046, 538, 476, 7277, 274, 267, 9591, 513, 2259, 538, 670, 1716, 18372, 538, 1546, 306, 9369, 6019, 267, 14967, 269, 1261, 849, 1303, 699, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19739, 24209, 1299, 27483, 302, 10292, 24209, 1315, 9605, 1299, 17073, 7896, 1315, 9605, 12751, 338, 262, 15557, 4260, 7958, 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, 769, 519, 7706, 540, 1480, 12093, 267, 3875, 2188, 2097, 883, 1404, 950, 7234, 4638, 1072, 543, 6379, 269, 7324, 891, 9270, 616, 519, 1585, 2010, 540, 1416, 2139, 585, 2043, 6849, 2189, 2591, 2404, 609, 10172, 543, 5042, 7771, 269, 13018, 267, 713, 1770, 786, 5490, 883, 3965, 1416, 6703, 2966, 547, 1489, 1346, 4299, 676, 12216, 781, 2068, 543, 824, 3029, 540, 12110, 269, 1635, 3695, 3344, 971, 607, 875, 547, 2824, 3617, 1416, 267, 2199, 2200, 267, 24416, 4170, 267, 543, 1898, 2055, 547, 2307, 7426, 267, 1053, 786, 2744, 3407, 4030, 602, 666, 1217, 2104, 4876, 10092, 610, 2123, 3375, 6194, 3157, 780, 2414, 2253, 267, 621, 568, 2629, 547, 1174, 1018, 13054, 3965, 1416, 543, 1946, 621, 814, 1831, 5051, 1271, 538, 2829, 899, 11908, 269, 4340, 547, 519, 1349, 3177, 267, 3965, 1416, 2950, 8597, 4481, 547, 7264, 7680, 12216, 781, 2068, 610, 1776, 1106, 540, 12110, 269, 1452, 7463, 6703, 2709, 5150, 5054, 1141, 8036, 5234, 2818, 2308, 2994, 3358, 547, 2743, 519, 2115, 540, 5042, 569, 15176, 2043, 269, 6270, 4485, 1419, 4125, 2870, 13467, 267, 9001, 3308, 10291, 267, 543, 7598, 3106, 3800, 547, 7413, 10539, 543, 29595, 5615, 1455, 1851, 1346, 3413, 21719, 676, 12110, 780, 2691, 8939, 513, 3965, 1416, 9744, 267, 1896, 2188, 1058, 581, 3144, 883, 2272, 269, 3689, 543, 19466, 267, 17053, 7264, 543, 741, 3885, 1590, 2708, 2436, 519, 2146, 20383, 609, 741, 2418, 267, 7375, 267, 543, 6578, 776, 10148, 269, 1280, 1383, 267, 4683, 5468, 949, 9029, 547, 930, 1813, 547, 741, 16133, 547, 2686, 18845, 543, 2564, 7740, 267, 1247, 6917, 6753, 1522, 1732, 9290, 1866, 945, 4782, 26982, 2678, 10450, 269, 3958, 267, 3790, 666, 4268, 3648, 1063, 1114, 7426, 282, 3976, 267, 1620, 2883, 13800, 909, 12506, 568, 14063, 780, 5194, 2565, 2460, 547, 2015, 950, 7446, 513, 3965, 1416, 9744, 568, 922, 15984, 547, 9431, 4441, 269, 3962, 1533, 20964, 1808, 4808, 12044, 519, 5106, 540, 19443, 2713, 6703, 267, 1519, 3965, 1416, 4559, 269, 1677, 2327, 10220, 267, 8041, 971, 607, 519, 11908, 4972, 540, 7991, 2657, 630, 291, 6224, 264, 2932, 2834, 24422, 543, 13753, 1759, 593, 20286, 4607, 689, 7264, 267, 1920, 2818, 267, 610, 5520, 269, 4841, 5461, 538, 13197, 11678, 1369, 713, 2361, 1131, 4324, 689, 5432, 1944, 2933, 609, 4143, 29071, 543, 6042, 547, 10018, 1655, 2853, 543, 2226, 1164, 7779, 1416, 4441, 780, 13010, 267, 8220, 609, 2199, 2200, 666, 7494, 3986, 519, 2949, 1995, 540, 1312, 7264, 543, 741, 6068, 3283, 269, 20871, 899, 519, 12216, 781, 5948, 1683, 3872, 2326, 267, 1489, 2516, 267, 543, 14223, 3646, 6322, 693, 5355, 519, 2729, 540, 1346, 12936, 676, 12110, 269, 12056, 609, 891, 9988, 3091, 3255, 585, 13033, 267, 1565, 827, 5499, 2553, 267, 543, 9363, 32448, 540, 15424, 2242, 7133, 1279, 3856, 1416, 11865, 780, 15563, 267, 30286, 22317, 2055, 1282, 19150, 610, 11042, 609, 1761, 3965, 1416, 7426, 666, 948, 12172, 6788, 543, 7520, 5483, 3664, 269, 6201, 540, 971, 14511, 1331, 1384, 265, 1548, 568, 707, 1935, 547, 5466, 4101, 5615, 17820, 676, 7264, 888, 265, 2052, 596, 4766, 513, 6093, 1554, 585, 513, 17055, 538, 707, 2146, 888, 265, 1215, 798, 596, 5721, 5234, 2818, 547, 6023, 2352, 3871, 16109, 689, 5042, 7771, 888, 265, 3657, 972, 1022, 9205, 5624, 3015, 547, 7264, 267, 543, 952, 865, 267, 875, 616, 789, 17956, 888, 265, 1548, 1377, 540, 9525, 616, 1920, 2818, 9415, 547, 723, 538, 741, 6068, 835, 781, 1416, 1544, 2496, 1103, 3932, 267, 713, 1770, 814, 8268, 519, 1523, 540, 3965, 1416, 6703, 607, 789, 9305, 547, 1480, 12093, 998, 519, 7828, 540, 3246, 6099, 1489, 585, 10172, 5095, 543, 741, 3885, 269, 3414, 6514, 540, 5542, 7355, 267, 9431, 10850, 267, 2199, 4199, 13345, 267, 543, 16367, 15819, 12485, 267, 1053, 1631, 4865, 513, 4514, 1620, 540, 519, 10848, 4478, 713, 4105, 5057, 540, 3782, 6765, 269, 20331, 609, 713, 1702, 267, 2104, 4648, 666, 3565, 25006, 547, 5571, 5717, 3823, 1655, 2853, 267, 3609, 1646, 267, 543, 3028, 19349, 1369, 519, 2796, 540, 3965, 1416, 11865, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10481, 3073, 807, 15350, 5516, 281, 9612, 14033, 1411, 267, 1215, 547, 9796, 267, 13397, 14819, 267, 10871, 8249, 267, 543, 5999, 547, 9105, 454, 10481, 3073, 807, 568, 1753, 547, 930, 540, 519, 4182, 779, 1034, 4190, 24781, 267, 10239, 543, 22501, 17822, 269, 634, 4872, 616, 1101, 268, 3433, 543, 2413, 267, 2407, 540, 5386, 18226, 24284, 269, 634, 1533, 2833, 782, 2185, 12405, 267, 513, 5551, 1032, 15778, 2916, 585, 13649, 525, 543, 3885, 269, 1306, 7264, 540, 519, 1533, 2085 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8334, 281, 4270, 267, 1577, 781, 2911, 827, 6925, 538, 9147, 5527, 267, 585, 1383, 269, 9894, 596, 917, 602, 12266, 7189, 941, 1360, 4359, 585, 741, 942, 286, 1358, 1256, 1500, 10551, 7405, 689, 7601, 543, 4401, 2439, 7692, 281, 26272, 267, 2731, 286, 1924, 267, 1018, 952, 2576, 3893, 10413, 1394, 1287, 286, 1215, 1131, 789, 4368, 621, 1510, 2413, 10506, 2496, 8334, 281, 4279, 2243, 256, 1403, 2576, 3893, 13676, 267, 789, 1522, 979, 1294, 513, 4387, 945, 7463, 538, 602, 1858, 269, 1280, 3236, 267, 972, 941, 3750, 7189, 267, 5642, 7189, 267, 543, 1256, 24782, 256, 3973, 267, 519, 4387, 1131, 946, 741, 1702, 543, 2645, 547, 948, 519, 1268, 1745, 1732, 780, 7692, 281, 1809, 1018, 952, 789, 4769, 1405, 723, 519, 1318, 1907, 286, 2107, 6148, 789, 7948, 1405, 4137, 856, 1018, 729, 4636, 2496, 8334, 281, 2334, 781, 1141, 1455, 2631, 2501, 538, 256, 24930, 1131, 7747, 741, 2550, 5702, 543, 2307, 6266, 540, 2055, 547, 1174, 1018, 729, 8345, 269, 6884, 267, 789, 1131, 849, 1413, 693, 519, 3461, 781, 890, 324, 610, 31997, 547, 1451, 811, 827, 741, 1072, 780, 7692, 281, 661, 2346, 267, 602, 4992, 14407, 256, 4208, 1131, 789, 798, 602, 2496, 8334, 281, 4270, 267, 938, 4703, 2995, 721, 513, 2603, 827, 938, 1072, 998, 1114, 4191, 269, 1635, 6313, 1346, 4191, 267, 7189, 1223, 1118, 5100, 7058, 525, 827, 1018, 729, 2469, 593, 3330, 519, 1560, 269, 901, 5280, 873, 6430, 799, 5574, 547, 2119, 780, 7692, 281, 28514, 267, 594, 1205, 621, 269, 5871, 2631, 2337, 7189, 1118, 1434, 5079, 269, 1548, 3116, 666, 649, 1451, 689, 6925, 538, 9147, 5527, 2496, 8334, 281, 6271, 3579, 3364, 568, 602, 789, 5156, 538, 1945, 1572, 834, 1492, 2185, 15629, 12862, 2437, 610, 834, 21065, 832, 1701, 1358, 2219, 602, 2348, 1932, 1454, 610, 1932, 2370, 540, 1142, 9644, 1223, 1118, 596, 7210, 780, 7692, 281, 9966, 832, 1862, 899, 1373, 1835, 1678, 344, 610, 6126, 2496, 2704, 1047, 281, 3143, 267, 711, 4010, 269, 634, 1208, 832, 941, 5835, 23925, 267, 3109, 23925, 267, 943, 5586, 332, 267, 543, 1973, 269, 3962, 835, 4299, 707, 4664, 543, 2949, 1072, 269, 1677, 1832, 513, 3666, 267, 7189, 1131, 2303, 2027, 11326, 267, 5751, 267, 543, 3006, 1256, 9059, 28542, 2439, 7692, 281, 18903, 28542, 26834, 2334, 781, 865, 20868, 2439, 8334, 281, 8786, 267, 855, 3314, 267, 713, 729, 513, 1279, 942, 3516, 256, 4658, 1394, 1287, 1419, 5916, 1082, 2081, 547, 12115, 1107, 4915, 267, 3635, 267, 1426, 267, 543, 5289, 4978, 269, 1656, 3494, 621, 610, 711, 267, 930, 540, 741, 2093, 1869, 3310, 875, 649, 1589, 827, 1072, 2221, 2439, 7692, 281, 5808, 320, 267, 594, 2760, 6785, 1686, 1223, 581, 865, 4448, 547, 938, 2729, 1631, 269, 8729, 585, 4687, 267, 7705, 2439, 8334, 281, 1411, 2811, 10950, 267, 7585, 256, 27355, 1405, 621, 1187, 1565, 827, 6925, 538, 9147, 5527, 543, 7487, 875, 1455, 2631, 5129, 513, 1909, 538, 2921, 1416, 540, 1004, 286, 3767, 267, 8164, 596, 3643, 513, 4387, 267, 596, 666, 5660, 1175, 875, 2484, 649, 4312, 2097, 910, 543, 875, 1271, 6998, 2055, 543, 11287, 5402, 3788, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5475, 594, 3812, 519, 1101, 4528, 540, 891, 14391, 725, 538, 476, 1001, 279, 267, 594, 729, 6947, 547, 519, 24384, 984, 809, 540, 22994, 344, 5937, 1157, 543, 4862, 513, 5037, 602, 594, 729, 476, 272, 264, 2386, 594, 1131, 723, 23064, 621, 267, 543, 476, 273, 264, 2386, 594, 1185, 711, 23064, 621, 269, 898, 7140, 856, 602, 519, 7160, 594, 1185, 1044, 1210, 630, 303, 21315, 15019, 4147, 923, 267, 9768, 476, 7818, 268, 271, 268, 9610, 268, 30663, 7830, 268, 278, 1070, 29979, 609, 519, 5741, 717, 9790, 6199, 4528, 630, 2865, 569, 585, 5969, 543, 2250, 539, 1279, 24185, 1070, 1705, 711, 1331, 782, 540, 834, 27839, 6807, 781, 4967, 2668, 1452, 616, 3769, 538, 519, 17368, 517, 11879, 9990, 630, 25835, 476, 271, 268, 4375, 274, 268, 6021, 277, 3583, 29930, 28931, 528, 693, 2547, 811, 616, 28559, 621, 568, 711, 2312, 2436, 891, 941, 3769, 538, 930, 3370, 7160, 540, 22994, 344, 5937, 1157, 267, 610, 2436, 789, 941, 13939, 689, 824, 5094, 4930, 267, 5022, 267, 3092, 269, 634, 25509, 1893, 540, 519, 4967, 6920, 630, 1729, 803, 267, 19037, 264, 602, 789, 941, 711, 6071, 8589, 807, 593, 930, 4505, 8908, 269, 634, 31919, 7160, 1281, 711, 6003, 873, 607, 9253, 6807, 781, 4967, 267, 1317, 7429, 519, 17368, 517, 11879, 9990, 267, 621, 1281, 711, 1022, 1022, 540, 922, 1378, 4967, 563, 296, 723, 3773, 782, 519, 4967, 630, 331, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8469, 21778, 538, 9147, 5527, 257, 607, 851, 540, 834, 19615, 1315, 9147, 1315, 5527, 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, 3848, 476, 276, 281, 5675, 5020, 12267, 3414, 519, 30776, 540, 3733, 20799, 16464, 1670, 12694, 692, 1103, 713, 3184, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 11174, 15923, 12092, 543, 26249, 267, 4481, 3695, 875, 4589, 666, 946, 1250, 20799, 16464, 1670, 2591, 607, 513, 5339, 3926, 547, 4739, 8903, 1272, 2984, 269, 901, 5499, 1935, 2636, 5830, 547, 1921, 3140, 2621, 267, 4207, 2152, 267, 543, 2123, 6386, 1247, 10223, 519, 2518, 1764, 540, 891, 6456, 6937, 269, 1635, 6313, 8037, 1568, 267, 10647, 3312, 1382, 267, 543, 2502, 538, 2565, 3206, 2238, 267, 596, 786, 1451, 875, 547, 3927, 6451, 3621, 8906, 543, 6848, 6286, 883, 707, 1378, 9159, 27367, 543, 17770, 7240, 6386, 780, 4089, 476, 272, 281, 4197, 3733, 20799, 16464, 1670, 12694, 910, 589, 14265, 1017, 27100, 538, 5020, 27884, 692, 7069, 20799, 16464, 1670, 2591, 3277, 547, 519, 8801, 2360, 3361, 676, 4598, 547, 6694, 1250, 20799, 2135, 1231, 3812, 676, 1585, 13271, 2249, 630, 7945, 607, 1306, 704, 326, 22346, 1040, 1452, 15865, 17694, 10460, 1713, 4220, 547, 1480, 1072, 267, 6683, 267, 1426, 3354, 267, 543, 2825, 6940, 269, 30459, 971, 2591, 883, 1272, 2984, 3091, 2189, 3255, 547, 2263, 1312, 1367, 2833, 543, 6626, 8739, 1606, 2615, 881, 8658, 780, 4089, 476, 273, 281, 31838, 3718, 3171, 520, 1005, 3733, 20799, 16464, 1670, 12694, 692, 18698, 5697, 5931, 1141, 1250, 20799, 16464, 1670, 2591, 1404, 513, 3844, 1909, 6087, 721, 547, 1174, 741, 1761, 538, 5935, 17680, 6137, 6386, 269, 1280, 3236, 267, 2015, 519, 1739, 10643, 1384, 268, 834, 763, 8125, 550, 918, 14525, 281, 1133, 30584, 532, 1306, 704, 326, 22346, 28015, 257, 676, 3220, 269, 24981, 5682, 6199, 630, 1708, 274, 2567, 1323, 17770, 7240, 2272, 540, 513, 1762, 10196, 781, 3460, 10188, 1200, 1259, 998, 14262, 1382, 593, 1306, 704, 326, 22346, 7657, 639, 543, 922, 14686, 15910, 8328, 7623, 267, 513, 29788, 28845, 563, 268, 834, 289, 7867, 28610, 281, 674, 2426, 328, 12668, 543, 5253, 8232, 257, 676, 8355, 3821, 853, 559, 6202, 630, 273, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 698, 3472, 1116, 1250, 20799, 2135, 1231, 1603, 538, 4444, 957, 1558, 6956, 547, 3679, 7403, 593, 3049, 267, 2687, 519, 7678, 540, 16793, 543, 521, 2344, 269, 2986, 519, 3109, 4627, 1166, 2293, 1044, 849, 1152, 267, 827, 513, 7373, 32057, 616, 3254, 519, 1034, 645, 2562, 4338, 7214, 547, 741, 3119, 11150, 593, 1271, 838, 543, 741, 3134, 2135, 12682, 5341, 6139, 322, 25333, 538, 3919, 269, 6289, 665, 520, 3315, 7370, 616, 10838, 519, 1034, 16012, 3347, 543, 616, 5342, 676, 7222, 513, 1276, 263, 1306, 704, 326, 22346, 4232, 543, 6032, 269, 2427, 264, 799, 723, 538, 1277, 31752, 267, 10478, 11585, 267, 6513, 267, 543, 3615, 269, 22590, 602, 616, 2864, 7923, 676, 1306, 704, 326, 22346, 24094, 269, 634, 1866, 666, 6923, 2347, 9901, 538, 519, 16536, 540, 6641, 874, 23888, 602, 616, 2016, 513, 787, 331, 573, 2940, 667, 3754, 267, 538, 519, 9063, 540, 10196, 631, 272, 269, 7647, 2880, 3690, 332, 3827, 540, 26935, 1235, 666, 1374, 547, 11879, 4444, 11251, 1949, 543, 12616, 263, 4276, 264, 543, 666, 581, 6796, 4543, 267, 1318, 998, 19106, 547, 519, 11425, 269, 6757, 885, 798, 865, 15548, 10299, 547, 2196, 16434, 267, 1210, 789, 666, 2417, 1909, 543, 5082, 28672, 10856, 538, 2508, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16240, 5020, 12267, 257, 607, 851, 540, 834, 16300, 13493, 1315, 22335, 1299, 32532, 2762, 1315, 16520, 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, 8080, 547, 606, 3078, 1158, 1141, 1148, 267, 2029, 267, 543, 2257, 2097, 1927, 256, 1411, 1522, 723, 4862, 827, 4249, 543, 14364, 267, 855, 1705, 596, 917, 602, 972, 616, 1082, 824, 2081, 547, 2995, 2984, 543, 1711, 1148, 286, 4653, 267, 649, 3513, 2263, 1945, 1572, 834, 5793, 13694, 5698, 2437, 799, 1797, 950, 1004, 689, 1114, 4610, 960, 1927, 547, 1711, 1945, 5863, 256, 2913, 781, 4685, 883, 875, 713, 4523, 609, 21284, 543, 5691, 19178, 780, 5331, 1373, 2111, 547, 1900, 3330, 707, 5172, 1433, 610, 7260, 543, 1995, 621, 782, 1472, 596, 1107, 602, 781, 1018, 21284, 543, 5691, 4641, 666, 798, 256, 4119, 7757, 4641, 630, 2752, 264, 8591, 3059, 1344, 547, 938, 4890, 1158, 1210, 3457, 899, 16389, 610, 2027, 14296, 269, 14044, 4641, 630, 23623, 1070, 593, 519, 824, 1688, 267, 5932, 7357, 1007, 10600, 585, 721, 547, 2263, 998, 9843, 1115, 780, 3086, 267, 4952, 952, 11051, 267, 5830, 267, 543, 9858, 5249, 1927, 609, 3744, 267, 8030, 267, 543, 23501, 547, 1711, 891, 6909, 2833, 256, 2334, 781, 15834, 5698, 256, 1358, 1131, 9192, 741, 1983, 547, 1628, 9159, 2984, 267, 10875, 23877, 267, 543, 1256, 946, 1919, 899, 3728, 5904, 267, 5841, 4987, 267, 543, 8596, 602, 4431, 547, 1560, 5322, 780, 4131, 781, 1491, 513, 1413, 693, 930, 3579, 1806, 1384, 272, 269, 2878, 1805, 800, 8346, 4995, 19536, 543, 19971, 1223, 2319, 909, 609, 1099, 5505, 547, 1711, 476, 11740, 24266, 7044, 269, 1452, 7044, 1577, 13588, 1413, 1472, 538, 1169, 4287, 267, 1818, 873, 1745, 899, 789, 2811, 5963, 851, 540, 519, 1650, 269, 5994, 8384, 513, 838, 809, 344, 15293, 9661, 1141, 596, 666, 2490, 707, 2212, 543, 1294, 1018, 781, 3297, 596, 2336, 273, 269, 2878, 292, 19223, 10742, 15306, 4995, 20551, 543, 2825, 3744, 1522, 6443, 4229, 547, 6318, 4656, 827, 2916, 1689, 269, 4635, 15283, 267, 789, 1223, 3560, 1004, 547, 13621, 4672, 11503, 610, 632, 10809, 539, 7733, 865, 789, 666, 1294, 20250, 519, 1764, 540, 2518, 8337, 563, 274, 269, 2878, 8110, 18504, 8551, 1234, 19960, 1441, 4995, 667, 19188, 543, 25287, 20802, 949, 12840, 609, 3301, 9367, 547, 1374, 5163, 7001, 1949, 269, 901, 2636, 22407, 262, 5322, 547, 1852, 3059, 3197, 610, 3615, 538, 1483, 942, 1282, 2982, 269, 1215, 3579, 568, 621, 547, 4585, 25249, 4971, 513, 2898, 5691, 7122, 286, 2336, 275, 269, 2878, 300, 5237, 23800, 4995, 4354, 2209, 543, 12206, 1522, 7649, 609, 10509, 4966, 547, 3142, 1686, 547, 1272, 269, 1635, 9849, 8121, 610, 15283, 10591, 267, 9754, 8436, 1223, 3802, 1851, 3504 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16223, 330, 16223, 322, 329, 1372, 756, 329, 329, 1731, 321, 1188, 325, 321, 329, 1122, 325, 327, 1372, 327, 330, 330, 6359, 329, 580, 1815, 27364, 329, 322, 25900, 326, 322, 321, 326, 651, 325, 326, 724, 328, 580, 329, 2131, 26501, 1372, 1815, 321, 323, 330, 577, 16223, 326, 20198, 330, 1188, 329, 326, 322, 773, 1188, 323, 326, 321, 1372, 12317, 8578, 322, 1375, 330, 8578, 323, 326, 7251, 764, 742, 577, 1731, 4206, 2041, 321, 7251, 330, 323, 8578, 329, 329, 16223, 330, 6062, 327, 1731, 322, 742, 6359, 11899, 724, 323, 747, 325, 9536, 321, 613, 327, 16223, 329, 4765, 330, 330, 329, 1122, 724, 329, 26501, 321, 3022, 322, 576, 6277, 9536, 515, 325, 773, 330, 321, 1122, 325, 329, 1375, 322, 329, 6359, 330, 9536, 1122, 321, 764, 323, 8578, 1122, 580, 329, 31649, 329, 24863, 327, 321, 1731, 326, 613, 8811, 325, 326, 9536, 326, 329, 1375, 330, 1375, 325, 8578, 16223, 325, 545, 325, 329, 3022, 324, 580, 9536, 329, 577, 327, 322, 329, 8811, 573, 325, 321, 329, 20657, 329, 327, 4206, 329, 329, 323, 330, 23135, 16223, 329, 326, 604, 8578, 323, 327, 321, 327, 326, 330, 329, 327, 330, 724, 326, 16660, 321, 330, 325, 4206, 330, 322, 329, 6062, 327, 327, 327, 6277, 326, 322, 329, 26501, 326, 2041, 573, 11899, 515, 325, 321, 1372, 329, 742, 323, 326, 329, 8578, 651, 325, 322, 329, 329, 329, 330, 330, 323, 326, 322, 3022, 27219, 330, 6277, 330, 539, 20623, 327, 20198, 326, 329, 330, 321, 7251, 326, 22396, 11899, 329, 325, 323, 857, 327, 322, 321, 326, 323, 1188, 321, 22396, 329, 577, 323, 327, 329, 8578, 330, 576, 329, 325, 7251, 6062, 329, 325, 322, 1372, 329, 8578, 328, 6062, 24513, 16223, 323, 1157, 329, 321, 613, 327, 330, 329, 329, 330, 323, 756, 8578, 327, 329, 321, 1122, 330, 329, 1030, 321, 604, 327, 329, 329, 327, 22396, 6277, 329, 329, 329, 539, 515, 325, 330, 329, 6359, 1375, 2041, 12317, 326, 833, 324, 6359, 515, 321, 326, 651, 613, 326, 16223, 651, 322, 329, 7251, 329, 330, 1188, 2041, 577, 330, 325, 327, 325, 327, 329, 321, 326, 613, 329, 326, 321, 326, 330, 756, 323, 25900, 326, 321, 327, 329, 321, 330, 325, 323, 24863, 6277, 756, 329, 327, 1375, 651, 327, 321, 326, 580, 2131, 8811, 6277, 323, 31990, 321, 1122, 325, 773, 756, 756, 329, 329, 8811, 325, 22396, 773, 321, 756, 330, 613, 327, 326, 329, 329, 651, 326, 6277, 325, 329, 330, 764, 580, 1731, 756, 327, 742, 724, 329, 321, 6359, 326, 580, 27219, 323, 6359, 515, 613, 330, 515, 764, 539, 2041, 580, 773, 329, 323, 327, 325, 25900, 326, 330, 325, 329, 773, 7251, 322, 27932, 324, 3971, 756, 329, 1815, 329, 858, 724, 11899, 330, 325, 323, 330, 329, 764, 724, 16660, 329, 323, 651, 1731, 322, 580, 322, 329, 321, 330, 330, 330, 4206, 321, 323, 330, 10623, 321, 756, 328, 580, 857, 329, 330, 329, 651, 326, 329, 27365, 580, 321, 327, 8578, 27219, 330, 857, 329, 327, 330, 4206, 330, 329, 1815, 325, 322, 326, 724, 1731, 325, 27219, 24863, 327, 327, 326, 321, 326, 329, 613, 20623, 1188, 327, 764, 329, 327, 321, 327, 22396, 576, 322, 651, 329, 321, 327, 724, 27219, 577, 325, 539, 20623, 326, 321, 6062, 515, 330, 16223, 322, 1375, 323, 327, 325, 4206, 1188, 323, 327, 325, 7251, 1027, 4206, 8811, 330, 728, 25900, 326, 329, 321, 327, 16223, 323, 756, 329, 325, 327, 773, 327, 321, 7288, 327, 24863, 573, 330, 2041, 576, 573, 325, 323, 330, 1188, 325, 326, 323, 13069, 604, 6359, 322, 329, 322, 326, 330, 32607, 328, 1731, 323, 327, 651, 329, 8578, 327, 7251, 5523, 330, 325, 6277, 325, 6359, 16223, 4765, 322, 321, 327, 329, 329, 323, 329, 327, 580, 756, 322, 545, 325, 327, 330, 22396, 330, 756, 16223, 15927, 323, 6277, 326, 604, 321, 1188, 326, 2664, 327, 742, 323, 515, 322, 4206, 8811, 325, 321, 327, 322, 326, 27219, 323, 330, 323, 326, 330, 330, 4206, 326, 321, 24863, 329, 323, 327, 22080, 20672, 330, 321, 604, 322, 321, 323, 7865, 326, 10623, 8578, 326, 329, 330, 6359, 329, 326, 756, 321, 756, 325, 1375, 1375, 2041, 327, 329, 8578, 515, 21967, 1372, 613, 545, 577, 325, 321, 742, 6798, 327, 10623, 1815, 742, 8811, 4512, 327, 329, 1375, 325, 27219, 323, 6359, 327, 4512, 327, 330, 321, 576, 16554, 327, 1372, 604, 326, 321, 326, 329, 321, 16223, 330, 13069, 8578, 1375, 328, 604, 1188, 329, 321, 327, 325, 326, 857, 515, 329, 322, 580, 323, 330, 545, 321, 2041, 327, 4206, 2131, 325, 576, 325, 330, 3971, 323, 1372, 329, 321, 323, 326, 323, 326, 330, 4206, 539, 576, 324, 576, 1188, 8578, 324, 2131, 756, 545, 325, 322, 1375, 651, 604, 323, 326, 323, 330, 773, 324, 576, 327, 742, 3663, 724, 330, 23135, 327, 545, 326, 330, 724, 1375, 323, 22396, 724, 326, 329, 1188, 580, 323, 327, 329, 329, 326, 325, 576, 7251, 321, 330, 325, 329, 327, 327, 329, 323, 329, 329, 321, 577, 330, 323, 577, 325, 323, 326, 2041, 8811, 329, 321, 6062, 329, 330, 613, 321, 323, 327, 7251, 1122, 329, 16554, 329, 16223, 330, 576, 324, 515, 325, 6062, 545, 329, 329, 329, 323, 326, 321, 330, 322, 329, 325, 327, 1188, 6359, 325, 773, 1188, 613, 327, 321, 327, 651, 327, 1731, 329, 329, 326, 6277, 325, 1157, 330, 330, 323, 326, 515, 7288, 7865, 324, 724, 329, 22396, 31990, 742, 330, 322, 329, 857, 327, 13069, 325, 330, 25900, 326, 321, 330, 8578, 1815, 321, 545, 323, 724, 330, 329, 330, 321, 16660, 329, 327, 327, 325, 26501, 742, 323, 330, 329, 325, 330, 323, 330, 330, 329, 329, 326, 329, 327, 764, 724, 330, 4206, 324, 329, 15927, 329, 323, 327, 329, 1188, 329, 330, 321, 329, 326, 325, 326, 325, 5523, 329, 545, 329, 329, 329, 329, 325, 327, 329, 325, 322, 321, 323, 1731, 321, 1030, 24863, 6062, 329, 742, 329, 325, 326, 330, 323, 7251, 6062, 329, 329, 1731, 325, 322, 321, 857, 1731, 329, 327, 327, 326, 329, 325, 329, 515, 1815, 613, 577, 330, 330, 329, 329, 330, 724, 322, 321, 330, 329, 329, 321, 327, 573, 329, 321, 545, 329, 327, 6277, 773, 580, 329, 330, 515, 16223, 322, 31990, 330, 330, 322, 326, 724, 326, 322, 742, 330, 1731, 326, 651, 1731, 326, 325, 326, 580, 322, 321, 1375, 329, 327, 326, 857, 604, 323, 16660, 25900, 4840, 637, 815, 10799, 15575, 263, 4649, 273, 7597, 267, 5569, 994, 2745, 263, 637, 264, 0, 3698, 1293, 31590, 921, 1206, 19906, 267, 678, 2187, 825, 1948, 1711, 513, 21461, 585, 13936, 4267, 454, 825, 1948, 3651, 1142, 1871, 538, 2855, 547, 519, 21461, 454, 825, 1948, 621, 4733, 998, 519, 5044, 454, 825, 1948, 3313, 952, 519, 1871, 568, 1883, 265, 337, 610, 1883, 265, 337, 265, 337, 692, 825, 1293, 815, 476, 271, 454, 825, 9598, 815, 31460, 825, 9598, 303, 4202, 815, 2715, 10926, 825, 585, 1871, 538, 20328, 19906, 2187, 1038, 952, 1871, 265, 337, 538, 9598, 303, 4202, 912, 2018, 1293, 6834, 9598, 303, 4202, 314, 7407, 265, 337, 2639, 1038, 952, 1871, 265, 337, 538, 9598, 912, 2018, 9598, 303, 4202, 314, 7407, 316, 815, 9598, 303, 4202, 10947, 263, 7407, 267, 476, 271, 264, 1341, 9598, 314, 7407, 265, 337, 2639, 13872, 1038, 12361, 9598, 10947, 263, 7407, 267, 476, 271, 264, 18092, 7024, 519, 1883, 4067, 267, 1759, 593, 519, 1871, 596, 9411, 563, 1038, 9598, 314, 7407, 316, 815, 9598, 10947, 263, 7407, 267, 476, 271, 264, 1341, 476, 272, 8528, 825, 2132, 1293, 692, 1551, 815, 1496, 272, 267, 476, 276, 267, 476, 276, 267, 476, 1839, 267, 476, 10219, 2639, 337, 815, 476, 276, 692, 2745, 6262, 870, 31590, 921, 1206, 19906, 267, 678, 4297, 0, 12163, 258, 29985, 4756, 454, 320, 284, 736, 454, 3698, 4159, 10031, 825, 1820, 2891, 1231, 728, 3593, 3989, 1599, 2580, 320, 2020, 5891, 4590, 2745, 2891, 719, 2515, 3593, 3989, 1599, 2580, 320, 994, 12163, 258, 29514, 4756, 454, 320, 284, 736, 454, 321, 284, 5392, 454, 3698, 4159, 10031, 825, 536, 284, 1789, 454, 825, 1820, 2891, 1231, 728, 3593, 3989, 1599, 2580, 320, 994, 825, 1820, 2891, 1231, 728, 3593, 3989, 1599, 2580, 321, 2020, 5891, 4590, 2745, 2891, 719, 2515, 3593, 3989, 1599, 2580, 320, 994, 2745, 2891, 719, 2515, 3593, 3989, 1599, 2580, 321, 264, 0, 258, 6572, 1505, 540, 1592, 454, 5353, 336, 17342, 2639, 1721, 1775, 538, 2039, 263, 276, 2187, 825, 1605, 284, 6358, 4590, 825, 1530, 336, 6910, 16216, 548, 994, 2745, 263, 5353, 336, 2020, 12163, 572, 336, 284, 6358, 14061, 20889, 4590, 2745, 263, 572, 336, 994, 18851, 0, 4067, 815, 834, 16533, 493, 13107, 492, 4840, 720, 815, 476, 2537, 454, 16303, 815, 8771, 454, 16303, 815, 6936, 454, 7076, 815, 476, 2537, 269, 273, 454, 19417, 815, 476, 272, 269, 11025, 454, 2745, 263, 273, 2878, 476, 279, 994, 6943, 28442, 994, 336, 815, 3403, 2891, 22047, 12255, 15419, 2745, 32429, 264, 0, 11133, 815, 314, 2639, 1721, 1535, 538, 2039, 263, 274, 2187, 825, 1003, 6910, 17338, 9852, 777, 17301, 267, 6358, 3890, 21875, 2745, 16325, 2020, 692, 0, 5814, 2979, 607, 544, 454, 3698, 524, 560, 3287, 11971, 28083, 14720, 2187, 825, 546, 284, 332, 28460, 9230, 343, 8584, 264, 1262, 273, 1341, 630, 344, 1532, 264, 1262, 273, 994, 825, 2132, 546, 692, 21948, 343, 11971, 28083, 14720, 6661, 314, 842, 10857, 264, 585, 561, 538, 3403, 2891, 10938, 1312, 10260, 3729, 20257, 20889, 2891, 2437, 13580, 7055, 3287, 11971, 28083, 14720, 6661, 314, 6358, 2891, 10472, 19823, 6358, 2891, 6343, 19823, 6358, 2891, 1721, 19823, 6358, 2891, 6343, 8442, 6540, 2745, 6262, 560, 3287, 11971, 28083, 14720, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14368, 17643, 1107, 3833, 14922, 532, 8197, 256, 8616, 267, 5103, 1373, 536, 636, 4364, 856, 7620, 267, 5484, 931, 565, 539, 15039, 267, 17548, 267, 968, 10214, 1498, 9522, 697, 4769, 1405, 2490, 856, 607, 9709, 267, 3314, 602, 3006, 1919, 3564, 938, 1852, 15936, 609, 938, 4566, 269, 1809, 1565, 827, 2470, 543, 1620, 922, 3157, 2337, 721, 5660, 922, 5898, 1256, 811, 269, 9320, 1985, 942, 267, 649, 666, 2263, 2081, 547, 948, 1832, 938, 1604, 2973, 865, 3025, 666, 3136, 11287, 6801, 9108, 3010, 4517, 3976, 8694, 741, 27093, 1554, 4904, 609, 17409, 267, 16345, 267, 6602, 267, 543, 3407, 4245, 593, 1312, 2257, 543, 6043, 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, 13133, 754, 596, 616, 513, 19033, 454, 20756, 737, 1342, 334, 267, 875, 729, 707, 1554, 286, 594, 4862, 596, 1185, 513, 2462, 1449, 2221, 267, 875, 1705, 621, 979, 286, 5457, 267, 1100, 2339, 519, 6364, 267, 594, 6415, 2141, 10583, 540, 596, 585, 8380, 538, 707, 1655, 4674, 269, 1635, 519, 1259, 267, 594, 4312, 3893, 513, 24983, 585, 596, 281, 4208, 1810, 1405, 3744, 3972, 8444, 286, 5221, 789, 1118, 909, 3388, 256, 670, 21036, 267, 5929, 19033, 24983, 256, 7102, 3118, 267, 1577, 781, 1205, 12129, 3323, 267, 543, 596, 666, 2995, 803, 782, 827, 707, 1554, 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, 7170, 281, 3733, 1133, 1721, 19998, 7402, 3300, 609, 634, 681, 924, 540, 11354, 543, 513, 932, 11501, 540, 595, 4459, 1115, 692, 296, 2760, 2219, 1250, 31117, 609, 8106, 2575, 267, 3226, 16384, 528, 853, 9545, 31582, 781, 634, 681, 924, 540, 11354, 267, 1131, 1291, 803, 547, 606, 20605, 7045, 835, 4832, 3781, 269, 1411, 1294, 267, 594, 6415, 851, 540, 606, 3235, 937, 545, 1895, 540, 2828, 945, 2671, 13395, 4690, 910, 649, 1289, 6000, 519, 744, 9536, 4252, 2107, 3832, 1598, 2209, 269, 1284, 27433, 936, 938, 2648, 585, 8966, 7405, 543, 8097, 15885, 267, 1419, 16475, 791, 668, 696, 340, 2713, 4055, 12644, 1282, 19771, 780, 3080, 10543, 267, 1247, 7234, 4583, 6566, 773, 637, 2429, 1686, 267, 594, 5018, 875, 634, 681, 924, 540, 11354, 3361, 27632, 1824, 1813, 547, 922, 1285, 656, 3766, 31938, 2470, 269, 27837, 676, 519, 9661, 267, 649, 4956, 547, 30712, 519, 1995, 676, 4730, 519, 4062, 538, 938, 8378, 6288, 1210, 2189, 6293, 14906, 1431, 269, 9741, 1705, 594, 917, 267, 1919, 941, 827, 547, 1491, 606, 6397, 2490, 780, 2171, 6170, 4374, 13167, 2306, 31183, 7405, 856, 540, 4948, 3615, 547, 17932, 519, 3312, 6060, 781, 4992, 1107, 4837, 14569, 4904, 609, 8795, 2157, 540, 1216, 2968, 1535, 2643, 2684, 2158, 267, 12285, 13164, 21401, 2066, 21312, 10833, 5828, 883, 536, 13293, 267, 1256, 11308, 838, 9398, 6039, 607, 25576, 15664, 10726, 619, 269, 1306, 13991, 11655, 267, 649, 6322, 547, 3251, 3020, 547, 853, 9545, 31582, 781, 14262, 5888, 1247, 4946, 938, 28031, 5652, 5905, 780, 763, 1554, 8452, 267, 543, 11439, 609, 938, 13144, 267, 649, 22415, 1117, 2509, 519, 6288, 1175, 607, 14334, 8593, 269, 7201, 17231, 519, 5182, 787, 6607, 267, 649, 3459, 7900, 1018, 649, 23816, 569, 5219, 547, 607, 1412, 290, 19897, 13957, 8339, 10426, 619, 2421, 7620, 669, 3089, 1194, 855, 4166, 1336, 2933, 1303, 337, 2331, 676, 938, 7118, 652, 4159, 540, 7574, 640, 269, 1717, 267, 28870, 998, 938, 14906, 819, 267, 1945, 9058, 5949, 780, 2026, 952, 14775, 547, 938, 1289, 267, 7366, 540, 524, 4459, 1115, 7153, 689, 519, 26965, 267, 2870, 513, 669, 11501, 602, 9985, 15222, 1242, 609, 938, 11733, 256, 898, 5433, 30642, 1107, 607, 1498, 853, 9545, 31582, 5128, 1185, 8580, 3293, 909, 891, 2370, 7068, 547, 6443, 721, 538, 938, 24744, 269, 3776, 17409, 16079, 539, 998, 519, 14980, 6288, 267, 16471, 32069, 609, 519, 1623, 21620, 540, 524, 4459, 1115, 543, 938, 1688, 8154, 539, 7405, 780, 1607, 21245, 2680, 6026, 803, 602, 1148, 25186, 6302, 543, 13462, 1004, 630, 663, 7786, 14386, 538, 2081, 796, 19960, 514, 762, 269, 3807, 899, 875, 634, 681, 924, 540, 11354, 17275, 15784, 543, 22906, 3592, 513, 2540, 3516, 267, 938, 15116, 2773, 13489, 1042, 4664, 1369, 938, 5667, 639, 1051, 532, 5304, 269, 769, 519, 1158, 540, 13395, 4690, 543, 1055, 18566, 9644, 267, 972, 6013, 513, 8471, 1893, 5827, 540, 28043, 10616, 1063, 21046, 543, 13321, 8723, 8090, 883, 9589, 3283, 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, 12585, 519, 1739, 2243, 281, 9717, 519, 1739, 2796, 281, 476, 2201, 476, 1240, 5988, 476, 4489, 275, 634, 681, 924, 4607, 922, 1101, 13447, 2773, 630, 1492, 2575, 1510, 519, 29478, 1070, 538, 853, 22642, 7921, 896, 5395, 613, 918, 28907, 341, 6308, 5652, 269, 2201, 476, 276, 4989, 602, 1032, 267, 853, 9545, 31582, 4810, 585, 5128, 519, 2442, 1967, 540, 634, 681, 924, 607, 513, 13447, 960, 267, 693, 519, 16629, 3626, 632, 8303, 269, 2991, 519, 2773, 267, 1586, 896, 22757, 5060, 267, 519, 21917, 729, 5645, 538, 17636, 689, 519, 10689, 593, 519, 17525, 540, 1010, 23507, 3464, 269, 634, 681, 924, 1185, 922, 1101, 3703, 13447, 2773, 593, 476, 278, 4873, 476, 4572, 272, 267, 693, 519, 10348, 781, 8065, 538, 5507, 896, 26290, 2940, 3619, 1601, 839, 269, 4706, 1977, 6566, 328, 699, 7018, 593, 476, 274, 4728, 476, 4572, 273, 267, 950, 476, 853, 758, 22603, 3769, 621, 538, 513, 15740, 2107, 3832, 14259, 10872, 269, 3619, 1601, 839, 729, 849, 3743, 585, 10962, 634, 681, 924, 547, 5245, 593, 476, 2537, 4864, 476, 3707, 277, 693, 519, 17638, 16011, 8065, 267, 607, 16823, 18364, 540, 519, 17638, 6641, 21620, 2107, 3832, 14259, 269, 1805, 9545, 31582, 1101, 5342, 519, 960, 538, 476, 4572, 277, 267, 538, 513, 13447, 2016, 676, 519, 19270, 1068, 613, 321, 537, 342, 2107, 3832, 14259, 538, 24545, 282, 1079, 1296, 2663, 646, 4547, 621, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 827, 713, 3364, 1572, 11648, 269, 2052, 596, 2995, 803, 1018, 621, 1797, 2496, 7692, 281, 17610, 267, 7705, 256, 31421, 568, 950, 2576, 8952, 16116, 593, 610, 9292, 1154, 1776, 1268, 267, 2901, 9308, 610, 14156, 267, 936, 543, 936, 1586, 269, 898, 781, 711, 4023, 543, 621, 781, 1271, 547, 3247, 621, 950, 649, 1294, 621, 8345, 780, 8334, 281, 7937, 267, 594, 1589, 594, 1174, 269, 6145, 952, 594, 1491, 707, 11442, 2476, 689, 596, 1169, 1554, 267, 1256, 1498, 596, 1616, 547, 1404, 609, 621, 1932, 267, 602, 1131, 581, 11648, 267, 1318, 2496, 7692, 281, 22549, 267, 7705, 256, 2334, 781, 513, 1434, 1383, 269, 3767, 267, 1705, 596, 917, 11648, 3085, 1405, 1175, 4755, 693, 1153, 855, 849, 693, 960, 286, 4634, 6738, 13522, 666, 957, 899, 13032, 625, 3006, 780, 8334, 281, 26419, 286, 1809, 1946, 1131, 789, 798, 602, 286, 1358, 2811, 2462, 2614, 547, 1491, 1416, 540, 2933, 780, 7692, 281, 4270, 267, 930, 1004, 1522, 1745, 23279, 267, 14220, 267, 610, 538, 31261, 3330, 267, 865, 789, 2119, 547, 1118, 2933, 1413, 1732, 676, 8380, 1866, 1524, 269, 901, 3884, 1405, 1318, 1317, 3025, 19262, 2463, 543, 11587, 780, 8334, 281, 1924, 267, 1018, 666, 649, 798, 952, 649, 1294, 11648, 8345, 693, 938, 1153, 610, 6148, 1282, 513, 1920, 1788, 649, 2811, 782, 2324, 593, 1927, 2496, 7692, 281, 1284, 666, 3717, 909, 256, 15681, 519, 1268, 1373, 1611, 602, 741, 2623, 568, 4636, 543, 10413, 995, 269, 1656, 952, 596, 1810, 1405, 1745, 2922, 3257, 602, 267, 1265, 513, 11967, 2937, 945, 666, 948, 6023, 519, 3510, 780, 8334, 281, 20944, 621, 256, 1548, 952, 2576, 3081, 594, 6415, 1373, 1932, 6213, 610, 602, 621, 7012, 1405, 513, 2462, 4308, 286, 1772, 602, 1869, 11648, 2496, 7692, 281, 8786, 267, 7705, 267, 602, 1223, 581, 1776, 1106, 540, 11648, 1634, 607, 3154, 2775, 532, 269, 1879, 2576, 13290, 547, 18609, 596, 602, 707, 4606, 5749, 1405, 4570, 610, 602, 1945, 4769, 1405, 4755, 267, 789, 2811, 3843, 547, 13861, 596, 269, 11565, 3054, 543, 3314, 602, 707, 4664, 2339, 780, 8334, 281, 26272, 267, 972, 781, 865, 1454, 811, 547, 1451, 827, 8156, 1142, 824, 23182, 269, 8729, 585, 7713, 782, 713, 267, 7585, 269, 2913, 781, 9153, 547, 2141, 1796, 1996, 11648, 16382, 649, 979, 2439, 7692, 281, 25999, 267, 7705, 256, 8625, 267, 1577, 781, 3262, 2648, 543, 25273, 1472, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 2252, 596, 616, 9243, 538, 3871, 540, 21440, 267, 596, 723, 6074, 519, 2427, 540, 519, 1727, 31395, 269, 1403, 606, 17707, 814, 922, 3723, 593, 519, 2766, 540, 513, 10856, 267, 543, 596, 2161, 602, 596, 616, 9243, 267, 519, 10856, 786, 711, 5660, 707, 29591, 3034, 1765, 2677, 12107, 15397, 340, 267, 4317, 7126, 2920, 22999, 543, 19622, 5246, 29989, 267, 3162, 4000, 454, 1607, 10839, 10039, 547, 13032, 625, 607, 1134, 607, 621, 10039, 547, 19246, 269, 31421, 666, 581, 607, 5739, 538, 519, 9036, 543, 593, 3785, 607, 621, 568, 538, 3506, 543, 824, 2127, 540, 2486, 267, 4929, 519, 1134, 268, 25969, 2123, 3929, 5222, 7132, 513, 1279, 1592, 540, 2591, 585, 1788, 9946, 543, 519, 3906, 1141, 621, 568, 2921, 1747, 269, 19759, 569, 267, 519, 3928, 540, 9036, 11648, 2066, 519, 8608, 267, 5103, 3646, 547, 9004, 621, 267, 616, 2810, 13497, 269, 18768, 616, 29162, 540, 28737, 543, 2094, 1788, 2359, 568, 267, 585, 519, 1034, 851, 267, 606, 2534, 602, 3322, 2324, 1360, 5702, 609, 1866, 267, 519, 1764, 540, 513, 4439, 569, 538, 513, 1788, 568, 5732, 24037, 547, 1788, 1967, 563, 2414, 635, 12393, 6927, 267, 960, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 31173, 10017, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 6092, 5149, 281, 26744, 5516, 11038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6220, 2609, 540, 19792, 5708, 543, 2182, 28967, 6150, 1100, 597, 547, 16472, 1459, 6377, 6848, 2152, 269, 1452, 10593, 7866, 875, 19384, 3332, 7960, 7258, 922, 4657, 2686, 543, 2797, 2916, 780, 7656, 269, 22718, 834, 763, 570, 6033, 9899, 16992, 543, 18140, 4886, 692, 4263, 519, 2295, 540, 834, 763, 570, 6033, 543, 4033, 12267, 257, 6013, 513, 5641, 540, 25432, 24813, 3197, 10188, 21586, 632, 13191, 10098, 781, 31341, 6681, 10754, 269, 25826, 519, 23233, 630, 604, 789, 666, 581, 1572, 602, 264, 1369, 891, 8941, 1107, 1870, 5443, 267, 20737, 267, 7128, 10492, 1107, 547, 1732, 10146, 519, 2081, 538, 799, 674, 2945, 8619, 18271, 18840, 18196, 4122, 1336, 538, 1100, 597, 5708, 269, 9181, 875, 4729, 6050, 11200, 2429, 519, 4015, 267, 1419, 13031, 6397, 4296, 1063, 9583, 19635, 2043, 543, 2621, 269, 1306, 596, 2263, 1915, 1646, 543, 2239, 2497, 267, 5000, 1053, 547, 2015, 1018, 4798, 10836, 689, 891, 954, 342, 8576, 2984, 780, 4353, 269, 5081, 13926, 7600, 1664, 281, 32100, 32389, 543, 20222, 538, 21586, 632, 13191, 10098, 692, 293, 2945, 8619, 781, 1603, 1281, 811, 982, 3274, 7038, 282, 621, 5713, 607, 513, 3532, 7828, 998, 799, 547, 4983, 10296, 6848, 4145, 269, 5548, 557, 883, 3584, 899, 5763, 8635, 267, 13313, 267, 543, 11528, 5208, 607, 13269, 538, 834, 763, 570, 6033, 543, 4033, 12267, 1701, 1215, 798, 674, 2945, 8619, 781, 3197, 20920, 609, 891, 2591, 286, 1548, 16555, 1281, 646, 2709, 593, 519, 1533, 540, 4207, 8478, 286, 8571, 4296, 1063, 519, 14070, 1158, 4843, 538, 834, 763, 570, 6033, 257, 543, 1699, 3466, 538, 21586, 632, 13191, 10098, 267, 18136, 1053, 547, 1589, 9691, 827, 5571, 9620, 5185, 676, 12790, 2950, 1369, 519, 2749, 780, 309, 269, 2637, 516, 2349, 2056, 281, 17235, 11470, 543, 4317, 30527, 692, 3080, 10747, 8984, 540, 674, 2945, 8619, 781, 960, 568, 922, 15774, 16471, 540, 9135, 14908, 269, 11559, 1053, 547, 5659, 875, 646, 12388, 525, 2609, 540, 1514, 17779, 609, 1346, 3335, 2404, 609, 6760, 5708, 269, 1280, 3236, 267, 7747, 875, 674, 2945, 8619, 18252, 24457, 995, 4729, 23538, 543, 6946, 13655, 547, 16616, 4514, 18408, 827, 2486, 269, 3958, 267, 1865, 1946, 646, 1522, 3442, 547, 2308, 713, 2189, 1935, 267, 6236, 1312, 922, 1761, 2640, 543, 19363, 780, 9654, 269, 6820, 22627, 281, 22414, 5811, 540, 3143, 597, 9085, 692, 7661, 267, 22962, 707, 9165, 3564, 8478, 676, 9236, 674, 2945, 8619, 781, 960, 547, 824, 8037, 1806, 540, 1100, 597, 3332, 689, 1472, 519, 1158, 269, 10576, 1455, 8017, 543, 3604, 538, 2474, 540, 6249, 267, 18572, 267, 543, 2239, 4480, 269, 3414, 713, 13354, 2079, 267, 1053, 786, 2744, 3407, 4030, 883, 875, 1585, 4529, 4497, 609, 2147, 2152, 998, 3982, 7499, 14485, 780, 3528, 8499, 3695, 834, 763, 570, 6033, 543, 4033, 12267, 257, 1369, 519, 2796, 540, 19384, 2413, 1143, 543, 2518, 1100, 597, 5389, 267, 713, 1576, 1770, 6663, 547, 15052, 1053, 262, 7071, 585, 1158, 3332, 1247, 8325, 2287, 741, 2702, 547, 9691, 2708, 1950, 8739, 27791, 6384, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 570, 6033, 543, 4033, 12267, 454, 19688, 476, 736, 267, 476, 1708, 273, 454, 560, 1559, 1923, 533, 321, 1923, 476, 14917, 533, 7714, 454, 276, 269, 276, 257, 1535, 476, 279, 269, 276, 4840, 257, 10376, 540, 674, 2945, 8619, 781, 2835, 568, 711, 1152, 513, 26656, 3460, 282, 621, 568, 849, 267, 538, 930, 1259, 267, 513, 2556, 835, 4799, 7197, 4922, 25343, 585, 1010, 2110, 5708, 267, 634, 570, 6033, 543, 4033, 12267, 568, 674, 2945, 8619, 779, 1101, 4015, 547, 2408, 538, 2296, 8144, 267, 543, 621, 9832, 2066, 1010, 522, 324, 12320, 516, 267, 3695, 519, 24738, 543, 4992, 540, 519, 2413, 5251, 540, 21586, 632, 13191, 10098, 269, 11676, 655, 674, 2945, 8619, 779, 21586, 568, 513, 2749, 693, 2112, 267, 513, 2749, 4171, 5318, 13103, 24568, 5763, 267, 1514, 7555, 267, 543, 31449, 1765, 732, 2150, 523, 762, 269, 769, 519, 2984, 540, 763, 570, 6033, 267, 3638, 543, 4057, 2661, 538, 606, 11552, 6470, 11466, 267, 1141, 1152, 11566, 3196, 666, 2226, 1931, 267, 543, 5208, 543, 26760, 616, 1898, 2645, 540, 6668, 563, 15371, 22281, 532, 519, 1650, 540, 513, 1870, 2006, 945, 8255, 936, 19516, 20379, 547, 1577, 1055, 9252, 267, 513, 17626, 20740, 1373, 14593, 547, 2479, 3152, 10963, 676, 1010, 536, 28123, 12251, 24158, 267, 519, 26525, 4057, 678, 5241, 547, 855, 7815, 513, 10800, 602, 814, 1044, 7166, 538, 513, 6808, 8009, 267, 610, 513, 812, 5275, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 2622, 9085, 1315, 8478, 1315, 19384, 7073, 1143, 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, 2342, 543, 519, 3864, 5742, 692, 8702, 547, 938, 3460, 998, 2342, 256, 769, 713, 1770, 267, 649, 786, 2263, 1018, 2342, 568, 267, 1451, 827, 922, 1686, 267, 2528, 267, 543, 875, 2477, 2097, 1927, 547, 1106, 3532, 18787, 899, 519, 3864, 5742, 630, 31323, 1040, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 723, 513, 1732, 1620, 540, 1946, 519, 9167, 6818, 267, 875, 621, 13333, 267, 543, 519, 1764, 621, 814, 593, 922, 2818, 269, 2913, 781, 1205, 3323, 2439, 1432, 568, 2342, 888, 2411, 692, 292, 2202, 568, 835, 540, 519, 5722, 17407, 593, 3047, 269, 898, 568, 4092, 6140, 5087, 540, 519, 11335, 7256, 543, 5045, 540, 519, 11848, 7909, 269, 2342, 3568, 476, 4510, 1114, 2477, 267, 1142, 609, 922, 1378, 1893, 267, 5389, 267, 543, 2229, 269, 2368, 1134, 8153, 3864, 2477, 616, 5333, 267, 5125, 267, 7977, 267, 8050, 267, 543, 519, 2136, 8003, 630, 20084, 1070, 1141, 5507, 267, 519, 3854, 2749, 540, 4789, 267, 568, 4092, 780, 8139, 1133, 687, 454, 2411, 21387, 15575, 1845, 3006, 6443, 1927, 547, 1711, 513, 9769, 1107, 513, 1895, 2324, 2509, 1455, 3853, 269, 1452, 18787, 666, 948, 4130, 2477, 2744, 4222, 676, 11836, 4229, 609, 3677, 3283, 269, 5994, 952, 707, 5172, 5026, 2319, 5916, 5716, 689, 782, 936, 4884, 3079, 540, 1175, 2348, 3214, 689, 835, 8378, 269, 901, 1007, 2706, 974, 600, 1131, 4440, 798, 1454, 1732, 982, 1022, 2582, 2319, 1223, 4805, 256, 2334, 781, 2147, 547, 875, 2197, 18787, 960, 780, 4504, 18166, 519, 3864, 5742, 630, 31323, 994, 5785, 19030, 3080, 971, 9769, 568, 1572, 519, 3864, 5742, 267, 1419, 5219, 547, 607, 834, 1492, 9167, 2668, 5853, 539, 538, 476, 4198, 278, 267, 519, 9167, 3459, 607, 3670, 6082, 16462, 6251, 3347, 1310, 2622, 2782, 4083, 269, 1358, 4646, 513, 2146, 5059, 593, 5755, 543, 5374, 2504, 547, 2327, 4708, 1851, 2933, 269, 3683, 942, 267, 811, 2477, 8678, 873, 267, 3056, 547, 2221, 781, 9167, 267, 9967, 540, 476, 2767, 4759, 2829, 780, 3963, 1281, 519, 9167, 1401, 626, 888, 2411, 19567, 763, 1292, 3804, 540, 519, 9167, 568, 547, 3142, 13884, 267, 6617, 267, 543, 3354, 547, 922, 4961, 998, 9316, 1063, 922, 4759, 2829, 269, 11588, 540, 1373, 851, 540, 519, 9167, 1331, 1384, 265, 2878, 10403, 11780, 4995, 16588, 2829, 1810, 1405, 991, 547, 2628, 9204, 950, 9467, 5370, 1369, 519, 9167, 267, 1818, 1870, 4443, 543, 1447, 7199, 563, 265, 2878, 26466, 4520, 540, 11873, 4995, 4658, 2713, 538, 9167, 2477, 666, 2951, 267, 2661, 267, 1353, 267, 543, 960, 538, 824, 9167, 2477, 1510, 17596, 1471, 553, 610, 2027, 14998, 563, 265, 2878, 13349, 24727, 4995, 3509, 3664, 7133, 3232, 1272, 616, 1500, 24973, 676, 9167, 6608, 267, 4180, 11007, 2066, 10665, 269, 6201, 1331, 6683, 267, 21996, 267, 6237, 1646, 267, 6283, 267, 1604, 4027, 267, 543, 7082, 2924, 780, 25748, 267, 972, 723, 1044, 1713, 2242, 5473, 519, 2136, 8003, 543, 519, 9167, 269, 2991, 1082, 1296, 540, 15376, 267, 519, 5177, 4956, 547, 4734, 519, 9167, 1813, 547, 1585, 4128, 1519, 16285, 4145, 267, 11776, 4507, 267, 543, 2804, 2188, 269, 1306, 513, 1267, 267, 519, 5177, 13166, 2451, 519, 9167, 693, 519, 1439, 540, 5130, 476, 1708, 271, 267, 16287, 519, 4098, 540, 513, 1007, 3184, 538, 3864, 6214, 780, 3086, 602, 649, 1174, 519, 9238, 540, 2342, 267, 922, 2477, 267, 543, 519, 1523, 540, 18787, 1577, 781, 4685, 4514, 883, 519, 4241, 1158, 540, 519, 3864, 5742, 269, 1284, 4126, 602, 1565, 827, 891, 3584, 786, 8300, 7279, 827, 2518, 12602, 543, 13686, 519, 2956, 540, 3486, 5698, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 715, 1638, 27620, 454, 15803, 12805, 16776, 1412, 324, 2202, 7055, 2026, 540, 28813, 2063, 3781, 267, 519, 5177, 568, 1100, 3476, 513, 4759, 540, 519, 9167, 269, 634, 8317, 729, 1558, 609, 519, 8984, 1630, 528, 880, 1145, 689, 519, 15112, 11244, 2462, 1824, 543, 1435, 1630, 637, 19632, 538, 12057, 12384, 282, 29285, 267, 538, 7439, 16049, 267, 4191, 4682, 909, 10213, 1004, 602, 689, 1631, 593, 267, 1152, 968, 20075, 839, 2296, 892, 630, 2421, 799, 267, 27229, 267, 789, 1705, 711, 1611, 519, 2296, 1031, 538, 14840, 5937, 10157, 18405, 264, 949, 581, 9275, 689, 1631, 593, 563, 1103, 29761, 267, 519, 8317, 729, 6825, 811, 2892, 889, 686, 3585, 281, 631, 7968, 338, 31025, 589, 592, 323, 18999, 5204, 928, 267, 543, 930, 10567, 602, 519, 5177, 949, 2132, 547, 519, 9167, 930, 1554, 282, 610, 538, 741, 1913, 267, 713, 568, 968, 2254, 740, 24586, 855, 14193, 2847, 7546, 6100, 1717, 267, 594, 14353, 602, 713, 786, 2760, 4755, 563, 1103, 519, 1279, 2165, 267, 621, 568, 12691, 602, 519, 5177, 786, 556, 21860, 519, 9167, 267, 5097, 1317, 267, 519, 811, 942, 10596, 267, 519, 811, 2693, 621, 568, 602, 2901, 519, 5177, 267, 519, 9167, 610, 1312, 786, 711, 2291, 269, 634, 31873, 1439, 540, 519, 9167, 267, 540, 1576, 267, 729, 575, 23932, 2685, 20888, 676, 519, 10787, 698, 1235, 543, 741, 2828, 538, 18293, 543, 519, 31472, 776, 2902, 26559, 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, 538, 24942, 6807, 267, 972, 5030, 1079, 1655, 2828, 3957, 7665, 543, 5981, 320, 269, 1358, 941, 8049, 3214, 945, 6068, 1565, 827, 741, 4703, 543, 875, 789, 5249, 269, 2290, 1554, 267, 789, 4862, 827, 6004, 269, 16399, 267, 513, 7023, 945, 729, 2469, 547, 1205, 513, 5642, 20768, 13003, 780, 30948, 781, 513, 5642, 20768, 13003, 8119, 4280, 7665, 780, 20694, 320, 6045, 267, 834, 289, 821, 20768, 2306, 938, 1973, 2281, 910, 2699, 3283, 267, 3043, 3283, 267, 543, 1256, 6676, 7410, 256, 6884, 1004, 991, 1007, 20768, 950, 741, 1378, 13515, 2324, 1134, 269, 589, 4387, 12662, 2635, 20768, 883, 741, 1560, 865, 789, 666, 1118, 1007, 1973, 2281, 3010, 16655, 9289, 16965, 267, 834, 3719, 875, 1279, 786, 621, 1491, 1864, 547, 1745, 1732, 12482, 288, 8797, 2025, 22559, 829, 3481, 7404, 23986, 731, 741, 6643, 543, 8678, 538, 267, 554, 17415, 267, 834, 2005, 5673, 593, 1082, 1919, 267, 899, 519, 2186, 540, 13003, 543, 1010, 2949, 1072, 269, 18401, 2053, 4268, 7494, 15323, 5475, 519, 13003, 267, 7665, 543, 5981, 320, 10272, 6004, 269, 16399, 1169, 3018, 269, 1261, 3838, 1010, 3460, 609, 873, 9789, 13110, 1145, 267, 4617, 6091, 267, 543, 2799, 13438, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 272, 267, 28512, 267, 15686, 568, 476, 274, 6398, 476, 12208, 6398, 476, 3066, 6398, 476, 9032, 269, 4595, 621, 814, 513, 2698, 540, 476, 276, 6305, 2188, 267, 476, 272, 267, 28512, 267, 15686, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 9083, 9340, 280, 692, 2190, 16975, 692, 4634, 16975, 476, 271, 476, 2190, 476, 1321, 476, 1321, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 2190, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 272, 269, 276, 5038, 5400, 324, 266, 6187, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 276, 5655, 280, 8618, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 4792, 272, 3583, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 6200, 271, 269, 276, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 1428, 269, 5780, 279, 276, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 272, 267, 28512, 267, 15686, 666, 581, 5258, 676, 476, 2190, 2318, 16975, 630, 719, 540, 799, 476, 271, 616, 1256, 267, 543, 476, 2190, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 272, 267, 28512, 267, 15686, 264, 568, 476, 272, 267, 276, 5038, 267, 24699, 267, 519, 3328, 568, 476, 4792, 267, 10204, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 9083, 9340, 280, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 6795, 272, 11740, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 3607, 280, 2568, 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, 278, 7176, 7597, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 6795, 272, 267, 11740, 2318, 9981, 630, 1652, 982, 476, 272, 267, 28512, 267, 15686, 264, 602, 616, 2941, 31870, 609, 476, 272, 267, 28512, 267, 15686, 269, 1656, 972, 616, 5111, 476, 8064, 267, 279, 7597, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 272, 267, 28512, 267, 15686, 780, 1012, 6555, 529, 2225, 540, 476, 9083, 9340, 280, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 272, 476, 271, 476, 274, 476, 275, 476, 274, 476, 272, 476, 278, 476, 277, 692, 763, 1297, 476, 272, 267, 28512, 267, 15686, 568, 16883, 676, 476, 274, 780, 1892, 25226, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1012, 12476, 7503, 630, 9083, 9340, 280, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 9340, 8099, 18089, 1911, 6200, 9340, 1556, 454, 274, 570, 1716, 776, 476, 14338, 28512, 13136, 9083, 271, 454, 275, 2372, 15715, 776, 476, 28590, 8099, 22001, 274, 454, 276, 2372, 2435, 476, 15996, 15836, 275, 4097, 454, 277, 7354, 776, 476, 28178, 13923, 2537, 454, 279, 4239, 531, 476, 4391, 272, 25375, 278, 454, 1015, 27252, 476, 9083, 9340, 280, 454, 1321, 13660, 1712, 31565, 476, 31404, 321, 1724, 454, 736, 966, 580, 525, 2711, 476, 6858, 22396, 329, 454, 3607, 12476, 3607, 561, 341, 342, 325, 692, 1012, 9978, 9273, 630, 333, 815, 476, 9083, 9340, 280, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 14225, 23417, 279, 476, 27420, 28178, 278, 476, 2412, 279, 4510, 278, 277, 476, 27944, 4649, 280, 276, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 27944, 28794, 476, 22430, 32699, 476, 14838, 18231, 476, 14225, 23470, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 10441, 28803, 25002, 21327, 272, 476, 11793, 30420, 275, 3393, 6812, 272, 4343, 273, 279, 1428, 280, 476, 10482, 278, 1240, 4200, 275, 280, 2641, 277, 1626, 271, 4375, 276, 6434, 4200, 273, 272, 476, 9340, 27888, 31648, 23841, 18458, 277, 4366, 278, 3066, 5881, 273, 271, 2190, 14689, 280, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 6200, 271, 269, 276, 476, 1911, 269, 277, 4200, 476, 4029, 269, 4281, 279, 275, 476, 1428, 269, 280, 1428, 274, 692, 1012, 476, 9083, 9340, 280, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 273, 269, 271, 5655, 2190, 324, 266, 6187, 476, 277, 269, 25870, 6434, 324, 266, 6187, 476, 274, 269, 22550, 7597, 324, 266, 1321, 692, 2162, 1975, 1877, 692, 11730, 476, 275, 269, 3393, 280, 11025, 324, 266, 1240, 476, 272, 269, 20542, 2764, 324, 266, 1724, 476, 277, 269, 25870, 6434, 324, 266, 6187, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 275, 269, 5400, 275, 4366, 324, 266, 6187, 476, 272, 269, 271, 5655, 6924, 324, 266, 1321, 476, 272, 269, 29900, 5400, 324, 266, 6187, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 277, 269, 16348, 272, 324, 266, 1321, 476, 272, 269, 271, 5038, 278, 324, 266, 1240, 476, 272, 269, 278, 6924, 8287, 324, 266, 6187, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 274, 269, 6187, 274, 3607, 324, 266, 6187, 476, 275, 269, 276, 1691, 4817, 324, 266, 1556, 476, 6434, 275, 25628, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 3199, 276, 7176, 324, 266, 1321, 476, 272, 269, 22724, 6507, 324, 266, 1704, 476, 279, 3451, 278, 2412, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 552, 280, 324, 6795, 277, 6924, 322, 5038, 273, 272, 321, 323, 12522, 274, 2378, 25971, 275, 6767, 271, 1815, 8064, 536, 279, 322, 8287, 325, 866, 325, 7761, 1815, 4206, 13040, 323, 271, 325, 1789, 321, 9032, 323, 6187, 279, 320, 278, 322, 279, 325, 2568, 277, 272, 321, 476, 272, 321, 271, 2801, 279, 324, 280, 323, 277, 324, 6321, 274, 275, 325, 272, 325, 271, 323, 5881, 323, 742, 276, 6767, 278, 742, 1839, 325, 277, 320, 15886, 273, 322, 4649, 278, 31620, 18597, 325, 271, 8619, 6434, 20623, 275, 4391, 4343, 280, 3235, 277, 325, 16928, 20981, 324, 273, 1030, 277, 3583, 5379, 323, 5655, 321, 6434, 322, 5881, 6767, 278, 325, 323, 10463, 320, 272, 323, 28276, 325, 277, 323, 5392, 12711, 272, 321, 279, 324, 8660, 272, 322, 321, 22446, 4281, 742, 26825, 4281, 275, 2764, 764, 276, 321, 280, 4649, 280, 324, 4097, 279, 279, 5325, 321, 273, 320, 10695, 539, 764, 3199, 279, 323, 7176, 278, 2412, 323, 29720, 280, 322, 8578, 323, 274, 325, 278, 1626, 271, 9536, 278, 323, 280, 320, 611, 476, 5379, 4206, 4206, 11025, 321, 277, 22396, 279, 323, 280, 324, 11025, 20623, 6924, 322, 275, 324, 4792, 325, 321, 629, 4817, 321, 1691, 325, 276, 325, 321, 0, 258, 19358, 1113, 632, 5120, 566, 692, 297, 1783, 6734, 454, 3412, 3843, 547, 4137, 856, 519, 5021, 632, 5120, 566, 2009, 585, 513, 1286, 4947, 883, 513, 7944, 693, 1079, 2798, 13718, 296, 1336, 519, 2626, 547, 519, 3193, 269, 632, 5120, 566, 585, 519, 1286, 1318, 1354, 519, 7944, 267, 855, 594, 666, 1405, 1205, 519, 2953, 2626, 585, 950, 519, 1286, 568, 2965, 538, 519, 7944, 13718, 574, 3168, 585, 519, 5021, 19358, 1113, 1232, 518, 3175, 1310, 1175, 10024, 519, 7944, 13718, 1492, 3193, 269, 585, 1318, 1354, 519, 1286, 13788, 568, 910, 279, 332, 4882, 692, 9617, 3168, 585, 513, 4640, 13718, 332, 815, 476, 5611, 271, 11899, 454, 341, 815, 476, 1428, 332, 4882, 454, 337, 815, 476, 1789, 692, 10946, 11508, 815, 476, 1321, 267, 1822, 301, 692, 297, 1783, 6734, 454, 328, 7058, 1775, 588, 1563, 1279, 2614, 692, 527, 729, 281, 513, 317, 273, 815, 513, 5332, 317, 273, 1341, 513, 4671, 9745, 273, 692, 3602, 513, 5332, 815, 642, 317, 273, 29265, 692, 320, 5332, 815, 476, 278, 269, 276, 544, 4882, 692, 810, 649, 917, 519, 2698, 513, 815, 910, 279, 332, 4882, 692, 22772, 513, 4671, 950, 1286, 568, 10024, 7944, 692, 320, 4671, 815, 630, 630, 320, 317, 273, 264, 910, 630, 320, 5332, 317, 273, 264, 3738, 317, 269, 276, 692, 320, 4671, 815, 910, 273, 269, 4281, 692, 1156, 576, 596, 616, 2111, 547, 632, 5120, 622, 1454, 1732, 593, 513, 2786, 982, 538, 513, 7944, 13718, 8310, 12995, 912, 25912, 344, 454, 4754, 579, 2322, 519, 4834, 883, 23049, 865, 1775, 917, 602, 922, 19838, 642, 22677, 273, 29265, 264, 610, 630, 341, 317, 273, 8358, 337, 269, 1775, 10093, 1405, 2944, 713, 4990, 540, 8631, 855, 621, 5654, 899, 596, 1223, 1175, 946, 30233, 3252, 547, 960, 621, 856, 780, 314, 15290, 513, 284, 332, 317, 321, 536, 14352, 8421, 6357, 848, 476, 1015, 264, 320, 19422, 8421, 6357, 848, 1015, 264, 332, 1070, 700, 333, 288, 284, 289, 543, 589, 284, 324, 317, 321, 2639, 327, 2100, 602, 2337, 2439, 297, 1783, 6734, 454, 716, 1302, 713, 2306, 621, 811, 2312, 692, 2330, 31863, 24665, 26293, 815, 589, 3709, 333, 348, 31386, 2765, 28452, 317, 273, 2410, 337, 13157, 9681, 332, 1725, 3363, 540, 2698, 24665, 566, 692, 2330, 288, 815, 1422, 6912, 31505, 3709, 333, 3686, 268, 346, 288, 3709, 339, 3686, 9681, 338, 9876, 585, 3230, 288, 3709, 339, 15732, 8310, 12995, 912, 297, 1783, 6734, 454, 3412, 1869, 2324, 593, 1565, 519, 16105, 585, 1210, 3735, 343, 13718, 8002, 1302, 713, 2306, 621, 4443, 1384, 2330, 31863, 24665, 26293, 815, 589, 3709, 333, 348, 31386, 2765, 28452, 317, 273, 2410, 337, 13157, 9681, 13707, 13804, 3363, 540, 24665, 566, 692, 2330, 288, 815, 1422, 6912, 31505, 3709, 333, 3686, 10559, 6912, 31505, 3709, 339, 3686, 9681, 24169, 585, 3230, 288, 3709, 339, 15732, 8310, 12995, 912, 25912, 344, 454, 6343, 616, 519, 2418, 585, 519, 1634, 5022, 286, 723, 596, 6836, 1210, 7235, 639, 4834, 609, 30233, 3252, 286, 20994, 1775, 666, 1405, 581, 540, 1454, 948, 269, 0, 258, 5999, 593, 6478, 10819, 281, 13488, 543, 20028, 12943, 676, 1483, 21493, 2439, 31580, 1109, 15010, 1109, 11426, 14184, 6478, 9046, 3752, 951, 476, 1109, 15010, 1109, 9199, 767, 9847, 5999, 593, 6478, 10819, 281, 13488, 543, 20028, 12943, 676, 1483, 21493, 256, 3396, 1109, 8298, 2201, 692, 7726, 476, 278, 2764, 279, 2537, 281, 26121, 513, 5198, 267, 23011, 666, 2196, 835, 13304, 538, 476, 279, 3764, 269, 11518, 666, 2196, 835, 13304, 538, 476, 277, 3764, 269, 1403, 11518, 3947, 23011, 513, 476, 272, 8792, 1376, 267, 875, 1279, 786, 621, 1491, 1354, 14247, 742, 29598, 909, 547, 23011, 286, 1215, 2484, 786, 1142, 723, 2196, 286, 8437, 1934, 547, 1294, 2626, 676, 795, 657, 3258, 10379, 263, 16928, 4037, 2020, 7726, 476, 278, 2764, 3445, 274, 281, 513, 15191, 13733, 2059, 513, 2786, 2619, 689, 17842, 547, 27292, 543, 1394, 1586, 269, 634, 2786, 1899, 3845, 1063, 891, 4872, 568, 476, 25851, 14790, 269, 593, 11728, 267, 519, 15191, 1500, 519, 5180, 7552, 950, 972, 729, 1100, 2842, 269, 593, 535, 27518, 621, 1500, 519, 5180, 7552, 950, 972, 729, 513, 3586, 2842, 25738, 689, 17842, 547, 27292, 693, 476, 3199, 14790, 10774, 538, 1869, 2011, 267, 519, 15191, 12599, 693, 513, 3586, 3432, 269, 2328, 519, 7215, 585, 519, 3259, 540, 942, 2838, 547, 8038, 689, 17842, 547, 27292, 269, 3313, 799, 7552, 3217, 1447, 942, 8437, 1934, 547, 1294, 2626, 676, 812, 13183, 263, 13970, 1321, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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 ]
[ 332, 454, 1556, 454, 279, 454, 2252, 1535, 543, 586, 616, 2318, 9981, 543, 454, 273, 343, 1341, 476, 276, 586, 21591, 1240, 2073, 1018, 568, 519, 1871, 540, 1535, 15017, 272, 269, 5410, 476, 276, 547, 513, 1297, 562, 4586, 273, 269, 19147, 676, 476, 279, 563, 274, 269, 16265, 847, 676, 476, 272, 563, 275, 269, 25092, 676, 476, 279, 563, 2691, 519, 5311, 540, 4238, 1657, 814, 1044, 454, 1260, 921, 1540, 538, 1931, 267, 799, 540, 519, 1739, 568, 606, 454, 10339, 1833, 585, 519, 3948, 1657, 888, 288, 264, 562, 6567, 476, 272, 454, 289, 264, 562, 6567, 476, 273, 454, 290, 264, 562, 6567, 476, 274, 454, 291, 264, 562, 6567, 476, 275, 454, 1321, 454, 280, 454, 7617, 540, 519, 1739, 7215, 568, 6697, 454, 1729, 630, 273, 586, 6567, 1535, 264, 6567, 476, 273, 263, 586, 6567, 476, 273, 1990, 3738, 6567, 476, 275, 263, 1535, 1341, 1990, 3738, 15017, 288, 264, 6567, 274, 343, 454, 289, 264, 6567, 276, 343, 454, 290, 264, 6567, 274, 1535, 1341, 476, 279, 1990, 454, 291, 264, 6567, 276, 1535, 6567, 476, 279, 1990, 454, 2252, 513, 815, 476, 274, 2073, 536, 815, 6567, 272, 2073, 543, 524, 815, 6567, 273, 2073, 1018, 568, 519, 1871, 454, 320, 6567, 476, 1321, 21680, 630, 273, 6567, 536, 994, 1993, 476, 278, 6567, 454, 888, 322, 266, 274, 454, 8199, 16665, 6054, 0, 258, 1548, 568, 519, 3017, 1063, 703, 543, 7533, 780, 12293, 5784, 630, 18431, 476, 1789, 2395, 994, 2026, 327, 342, 8643, 27958, 631, 2704, 12858, 5984, 593, 476, 280, 2904, 476, 1708, 271, 454, 4467, 7757, 281, 10060, 5899, 3187, 593, 476, 1321, 4239, 476, 1708, 271, 454, 15916, 3025, 454, 296, 1616, 547, 1205, 6045, 875, 547, 6430, 765, 1430, 946, 1599, 834, 842, 257, 610, 834, 15759, 1537, 8487, 1432, 568, 519, 2596, 3017, 1063, 873, 286, 786, 789, 2285, 1482, 2626, 585, 513, 2016, 1599, 888, 14188, 596, 1360, 1454, 538, 4434, 563, 2026, 327, 342, 8643, 27958, 631, 2704, 12858, 5984, 593, 476, 280, 2904, 476, 1708, 271, 454, 333, 815, 3259, 263, 15598, 5148, 4939, 6726, 919, 519, 7089, 540, 2874, 656, 17013, 18217, 339, 994, 343, 815, 2040, 263, 15598, 2652, 7154, 263, 15598, 4297, 282, 4939, 6726, 919, 519, 7089, 540, 17013, 12943, 7154, 454, 335, 815, 476, 272, 270, 1704, 282, 4939, 17438, 540, 8939, 7154, 27456, 328, 994, 14153, 815, 562, 265, 335, 3248, 18406, 815, 21762, 3799, 30818, 335, 269, 16732, 272, 910, 533, 4297, 282, 4939, 5776, 518, 323, 11539, 454, 604, 562, 27045, 476, 736, 454, 328, 815, 476, 271, 3248, 1910, 916, 1775, 454, 2788, 320, 815, 5595, 263, 1910, 916, 636, 9230, 2399, 3645, 3799, 19422, 2399, 3645, 9217, 12684, 2399, 3645, 3799, 25829, 4297, 16732, 335, 1040, 22677, 328, 31618, 272, 1790, 1040, 22677, 333, 25829, 24270, 1775, 267, 476, 271, 267, 1535, 4297, 282, 4939, 476, 271, 815, 3586, 267, 476, 273, 815, 1535, 454, 260, 12498, 272, 815, 861, 916, 636, 9230, 2399, 3645, 3799, 19422, 2399, 3645, 9217, 12684, 2399, 3645, 3799, 25829, 4297, 16732, 272, 268, 272, 270, 1704, 1040, 22677, 328, 31618, 272, 270, 1704, 1040, 22677, 333, 25829, 24270, 1775, 267, 476, 271, 267, 562, 14870, 11850, 260, 1379, 815, 476, 272, 1532, 9508, 272, 3248, 12828, 604, 562, 285, 736, 454, 1910, 916, 586, 454, 325, 815, 11196, 263, 344, 2173, 340, 8203, 273, 19422, 273, 265, 18406, 317, 273, 5148, 4939, 476, 276, 269, 4962, 568, 476, 273, 265, 18406, 317, 273, 267, 1299, 476, 273, 269, 278, 815, 18665, 454, 325, 684, 815, 630, 272, 14370, 18406, 265, 273, 269, 276, 4297, 16732, 10339, 6600, 4297, 282, 4939, 476, 271, 269, 25172, 277, 815, 476, 272, 14370, 18406, 265, 273, 269, 276, 1070, 552, 815, 476, 273, 269, 10170, 454, 320, 815, 910, 8882, 3248, 321, 815, 1535, 282, 4939, 343, 282, 4939, 1297, 540, 4431, 550, 5697, 7154, 454, 2788, 320, 815, 5595, 17301, 6600, 684, 267, 513, 267, 536, 4297, 3248, 260, 260, 260, 9745, 952, 594, 993, 1210, 7533, 1934, 267, 594, 993, 3478, 1114, 2626, 269, 1018, 12161, 993, 594, 1818, 1523, 1302, 780, 30252, 5899, 3187, 593, 476, 280, 2904, 476, 1708, 271, 454, 763, 703, 1599, 26779, 12572, 7215, 630, 528, 1281, 922, 1655, 267, 931, 323, 18790, 602, 711, 782, 7215, 723, 25107, 29398, 1916, 763, 7533, 1599, 568, 585, 25948, 3252, 267, 2356, 20822, 3252, 563, 763, 12319, 3817, 585, 1346, 3252, 2491, 873, 1732, 982, 594, 666, 267, 865, 594, 3177, 6402, 547, 873, 563, 7462, 476, 273, 22227, 17004, 295, 728, 1109, 272, 4587, 6085, 454, 30252, 5899, 3187, 593, 476, 1321, 4239, 476, 1708, 271, 454, 288, 269, 654, 12584, 577, 2443, 454, 7069, 12257, 2336, 10490, 8917, 568, 2141, 15874, 14386, 0, 258, 14333, 26634, 538, 6046, 19720, 630, 842, 1238, 2563, 2243, 2020, 272, 269, 14581, 15048, 692, 763, 2609, 540, 513, 14495, 1216, 6046, 19720, 2874, 540, 1279, 20425, 22203, 540, 20879, 8166, 630, 308, 6349, 264, 540, 8006, 476, 279, 7825, 11303, 676, 513, 6094, 4494, 540, 26459, 804, 32061, 269, 769, 519, 19720, 4295, 519, 2609, 616, 22799, 676, 14495, 1216, 693, 476, 26326, 9180, 609, 513, 3002, 4483, 11664, 540, 476, 3374, 330, 310, 8276, 317, 273, 298, 269, 1403, 3002, 568, 6383, 25144, 1369, 519, 11425, 693, 513, 2557, 540, 476, 31318, 24448, 8276, 317, 274, 267, 5173, 519, 2837, 540, 519, 804, 32061, 543, 519, 5021, 2837, 1369, 519, 11425, 269, 634, 1611, 8143, 19428, 540, 772, 284, 273, 568, 476, 273, 269, 274, 654, 8276, 918, 692, 273, 269, 14581, 12307, 692, 14140, 851, 281, 2203, 621, 607, 513, 28973, 609, 3830, 1627, 284, 554, 24867, 265, 268, 26326, 264, 26042, 16149, 851, 2433, 570, 6874, 265, 815, 630, 304, 270, 275, 330, 264, 337, 317, 273, 692, 274, 269, 634, 28055, 693, 513, 8827, 692, 14140, 851, 281, 594, 1175, 10924, 602, 835, 666, 2203, 519, 3510, 693, 519, 3774, 607, 513, 28973, 609, 1360, 6094, 6821, 543, 1210, 519, 3830, 1657, 609, 519, 2418, 540, 692, 327, 284, 476, 3374, 330, 310, 8276, 317, 273, 298, 454, 663, 454, 304, 284, 31318, 24448, 8276, 317, 274, 265, 273, 265, 7032, 265, 271, 269, 21916, 815, 476, 866, 269, 272, 24448, 8276, 317, 274, 692, 323, 3996, 711, 2285, 519, 2838, 3070, 540, 476, 29044, 9180, 269, 594, 1810, 1405, 2731, 1294, 1018, 4010, 568, 4636, 609, 713, 9819, 543, 1131, 4061, 5660, 952, 4896, 1223, 2285, 803, 513, 20726, 780, 16149, 851, 281, 4625, 5386, 692, 628, 3471, 513, 2603, 692, 16665, 13823, 2563, 8212, 14581, 6435, 5240, 593, 4284, 3820, 454, 295, 842, 912, 5575, 267, 596, 723, 547, 5173, 519, 2557, 540, 3002, 575, 699, 3603, 829, 1770, 3259, 540, 519, 11425, 2483, 10190, 267, 5173, 519, 2557, 540, 3002, 4163, 2476, 676, 519, 1216, 267, 630, 527, 5673, 593, 519, 2837, 1114, 1063, 519, 11425, 543, 519, 1216, 543, 519, 2627, 1858, 994, 4263, 519, 3160, 756, 8922, 1448, 267, 634, 3002, 6383, 568, 3160, 547, 519, 3002, 4163, 2476, 2807, 1305, 873, 3160, 547, 1205, 519, 6695, 18773, 570, 9681, 8310, 12995, 912, 12552, 513, 2603, 910, 594, 1631, 723, 519, 2626, 2439, 8310, 12995, 912, 304, 815, 554, 2608, 630, 307, 268, 26326, 994, 763, 1627, 593, 519, 700, 9391, 568, 519, 3002, 2813, 829, 1770, 3259, 2676, 8117, 554, 16732, 307, 268, 26326, 264, 568, 3002, 4163, 2476, 829, 1770, 1858, 692, 2791, 723, 547, 2789, 1945, 593, 519, 681, 9391, 547, 1118, 713, 3830, 1568, 1862, 666, 596, 2995, 803, 1018, 596, 723, 14406, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 12105, 12485, 10268, 10838, 12961, 543, 8284, 1814, 1562, 2760, 24044, 547, 993, 10270, 269, 634, 1323, 3421, 561, 19123, 568, 513, 1390, 1383, 540, 713, 269, 2755, 621, 2693, 4465, 1405, 9983, 1082, 602, 891, 11432, 1673, 6202, 619, 723, 9862, 547, 7639, 14015, 267, 519, 1323, 3421, 262, 2409, 616, 513, 3020, 4898, 547, 519, 3621, 2146, 563, 28062, 15866, 538, 519, 10195, 540, 519, 12144, 543, 3162, 1315, 6239, 3013, 267, 519, 10859, 8584, 638, 1738, 9742, 814, 1044, 6592, 6721, 18616, 267, 799, 789, 3413, 1460, 547, 2933, 269, 7201, 4248, 267, 519, 16290, 5135, 2636, 873, 547, 7639, 585, 909, 547, 476, 1428, 3764, 269, 12207, 723, 4767, 789, 1449, 741, 4398, 1354, 10024, 519, 1216, 676, 16089, 543, 556, 2987, 327, 2718, 519, 18616, 269, 4340, 547, 513, 2487, 8313, 538, 7351, 10334, 267, 741, 5759, 723, 6603, 936, 513, 10116, 540, 606, 5662, 563, 763, 1957, 781, 2278, 267, 18332, 645, 11484, 807, 267, 5156, 602, 519, 28499, 2308, 741, 18616, 607, 513, 834, 516, 321, 805, 3107, 3926, 1701, 901, 2067, 7613, 729, 1287, 13147, 17673, 10838, 4129, 267, 945, 13381, 30694, 5135, 547, 10804, 741, 942, 14015, 269, 589, 8284, 29489, 1179, 4327, 602, 519, 28499, 1223, 849, 8415, 741, 18616, 547, 5305, 20008, 5346, 2910, 273, 269, 1261, 1031, 519, 2165, 834, 874, 9713, 575, 650, 2437, 547, 4766, 519, 4316, 547, 1349, 519, 3154, 689, 519, 1604, 3842, 519, 19389, 563, 12024, 1034, 12105, 7835, 267, 519, 2249, 262, 7592, 4196, 513, 1808, 3483, 269, 2060, 519, 2702, 547, 4685, 14015, 267, 519, 606, 3421, 616, 2111, 547, 9101, 741, 11975, 267, 799, 538, 741, 3148, 267, 5161, 540, 15315, 269, 769, 1840, 267, 789, 2811, 2111, 547, 6968, 4130, 10352, 267, 899, 3165, 269, 1809, 519, 28499, 616, 711, 4805, 538, 519, 12748, 7613, 269, 29533, 19389, 3755, 1331, 22404, 543, 20151, 910, 543, 741, 5759, 8831, 2484, 3564, 519, 476, 1428, 18826, 7182, 540, 519, 9341, 606, 3421, 269, 2334, 1223, 581, 1813, 547, 741, 4130, 2450, 543, 4061, 4389, 5135, 4170, 563, 3719, 602, 6157, 1281, 711, 6175, 519, 11141, 18517, 540, 519, 5499, 28499, 269, 4340, 547, 17722, 4223, 1492, 9749, 689, 519, 2160, 540, 3703, 12052, 267, 519, 606, 3421, 834, 16673, 581, 2810, 4685, 942, 593, 519, 1931, 540, 7643, 547, 513, 8792, 1701, 1261, 1256, 3773, 602, 834, 10472, 1223, 581, 782, 513, 24760, 561, 19123, 2115, 547, 2744, 606, 6316, 4799, 6546, 1373, 1767, 267, 649, 9364, 1832, 606, 3750, 593, 891, 2479, 21608, 1814, 1562, 952, 649, 941, 596, 1862, 0, 30761, 1984, 15942, 327, 732, 267, 2617, 476, 1789, 267, 476, 1001, 276, 4070, 519, 3259, 540, 1984, 568, 5111, 3160, 547, 922, 8006, 269, 3440, 19582, 827, 540, 519, 4320, 269, 519, 546, 807, 540, 3440, 568, 547, 519, 546, 807, 540, 7387, 568, 543, 922, 3259, 568, 827, 476, 275, 907, 519, 7387, 568, 29352, 998, 513, 5397, 10591, 609, 3432, 678, 10975, 269, 476, 1015, 269, 7476, 7454, 12313, 454, 2617, 476, 1789, 267, 476, 1001, 276, 4070, 519, 3259, 540, 1984, 568, 5111, 3160, 547, 922, 8006, 269, 3440, 19582, 827, 540, 519, 4320, 269, 519, 546, 807, 540, 3440, 568, 547, 519, 546, 807, 540, 7387, 568, 543, 922, 3259, 568, 827, 476, 275, 907, 519, 7387, 568, 29352, 998, 513, 5397, 10591, 609, 3432, 678, 10975, 269, 476, 1015, 10756, 3286, 899, 1455, 3440, 1984, 267, 519, 1292, 5057, 540, 6632, 1279, 268, 1097, 331, 5407, 3440, 1984, 568, 513, 12718, 609, 8006, 543, 3259, 693, 513, 10257, 8167, 269, 11004, 616, 930, 2462, 10591, 8258, 593, 519, 2627, 540, 513, 12718, 267, 519, 12718, 568, 9141, 676, 519, 8930, 542, 799, 8544, 1127, 609, 2462, 10591, 8258, 10756, 1492, 1267, 540, 713, 1449, 568, 1634, 607, 519, 6632, 3440, 1984, 1871, 269, 17102, 519, 1739, 17102, 568, 2838, 281, 6632, 3440, 1984, 3684, 267, 9967, 540, 513, 1216, 31259, 5374, 12718, 267, 6806, 693, 835, 1439, 267, 609, 3330, 7516, 540, 476, 28670, 269, 279, 6515, 538, 8006, 543, 476, 24129, 269, 272, 6515, 538, 3259, 10756, 1492, 1374, 540, 513, 3440, 1984, 666, 4268, 3648, 4470, 593, 519, 2450, 267, 519, 3937, 1031, 547, 4452, 519, 4358, 1570, 543, 519, 1062, 585, 17579, 532, 519, 3977, 1587, 269, 519, 2450, 540, 513, 1984, 568, 2356, 6353, 676, 519, 5223, 3259, 547, 8006, 543, 713, 5223, 1034, 4749, 9775, 689, 476, 271, 269, 276, 547, 476, 274, 269, 276, 269, 519, 563, 2252, 513, 3440, 1984, 3096, 2370, 610, 1100, 1216, 1282, 8860, 267, 621, 568, 513, 3819, 1984, 269, 1403, 513, 3440, 1984, 3096, 1216, 1282, 8860, 267, 621, 568, 513, 6632, 1984, 269, 6093, 3440, 1984, 786, 723, 513, 14941, 3259, 602, 568, 610, 476, 272, 269, 276, 2053, 519, 14941, 8006, 269, 3440, 14200, 609, 513, 14941, 3259, 547, 8006, 5223, 3152, 982, 476, 272, 269, 276, 616, 5219, 547, 607, 8546, 14200, 10756, 572, 335, 476, 866, 267, 476, 1001, 277, 8343, 2698, 4463, 540, 3440, 1984, 10759, 476, 276, 269, 6812, 10264, 4463, 540, 3440, 3049, 1570, 10759, 476, 275, 269, 276, 10264, 8900, 2230, 10759, 476, 272, 269, 5400, 10264, 6871, 540, 6445, 1377, 476, 3199, 269, 6795, 260, 6871, 540, 8900, 2230, 476, 866, 269, 6078, 260, 6445, 1377, 519, 4452, 540, 519, 3440, 568, 2356, 513, 2370, 811, 982, 3368, 540, 519, 4320, 540, 519, 1984, 269, 3622, 4320, 540, 519, 4586, 1492, 476, 4375, 269, 276, 3440, 1984, 519, 7601, 7823, 3440, 14200, 616, 476, 278, 4029, 276, 6515, 3952, 538, 8006, 543, 476, 6344, 2412, 6515, 476, 4375, 269, 276, 3952, 1279, 269, 789, 616, 24492, 11166, 3440, 14200, 609, 3330, 5603, 4394, 540, 476, 278, 4029, 276, 6515, 3952, 543, 8860, 13080, 540, 476, 14093, 9262, 6515, 3952, 269, 1142, 3440, 1984, 568, 4586, 20412, 566, 540, 3440, 1984, 4390, 269, 519, 2504, 4390, 540, 519, 3440, 1984, 568, 5462, 676, 519, 2179, 540, 1570, 2838, 547, 581, 2666, 267, 543, 621, 1590, 723, 513, 1978, 14345, 950, 8888, 543, 8939, 269, 972, 616, 1082, 2188, 7133, 519, 2504, 4390, 540, 519, 3440, 1984, 267, 538, 1840, 547, 519, 2470, 540, 519, 1570, 519, 4110, 540, 4586, 1492, 3330, 8006, 543, 3259, 540, 519, 3440, 1984, 269, 519, 5179, 1379, 540, 519, 3440, 1984, 3440, 11423, 16252, 281, 3355, 11423, 5223, 585, 6632, 3440, 1984, 281, 519, 1804, 3440, 1058, 6445, 476, 1789, 260, 540, 4320, 540, 519, 3440, 1984, 267, 519, 1647, 3440, 1491, 476, 2412, 9077, 543, 1507, 3440, 1491, 476, 1789, 10065, 519, 6632, 3440, 1984, 1159, 10449, 519, 3049, 2326, 5631, 676, 8860, 2864, 982, 4586, 9188, 793, 520, 16361, 1651, 269, 782, 2924, 11603, 269, 938, 2754, 827, 1374, 520, 16361, 5718, 938, 2359, 1935, 2298, 2359, 1062, 2046, 13847, 543, 2621, 563, 1492, 1648, 3608, 3440, 1984, 568, 606, 3608, 1907, 585, 8860, 1082, 2326, 883, 5386, 8869, 269, 519, 1648, 3608, 3440, 1984, 568, 4922, 1031, 538, 8869, 6194, 2504, 1899, 1519, 9160, 267, 3623, 6510, 267, 1007, 15178, 2679, 1570, 267, 18195, 800, 1570, 267, 13226, 267, 7626, 19703, 540, 7542, 9317, 4496, 543, 1875, 1922, 518, 9317, 4496, 267, 4837, 23907, 267, 3092, 267, 621, 666, 20836, 1585, 22714, 543, 824, 2326, 609, 4586, 13568, 476, 6860, 267, 476, 1708, 272, 585, 835, 6066, 3023, 4891, 267, 789, 8359, 513, 3259, 540, 476, 1626, 269, 274, 4699, 543, 513, 18592, 540, 476, 1321, 269, 278, 4699, 2949, 267, 741, 5551, 2450, 5828, 856, 547, 581, 4586, 16435, 823, 14200, 616, 9838, 547, 519, 3440, 14200, 543, 17375, 20898, 14200, 538, 8006, 543, 1374, 519, 1152, 3017, 568, 602, 789, 616, 607, 2370, 607, 538, 3259, 269, 2094, 1984, 8006, 9598, 919, 2773, 543, 1984, 3259, 1152, 5540, 4390, 267, 20105, 14200, 616, 1031, 547, 1020, 610, 4586, 15927, 3455, 568, 1732, 609, 2462, 1402, 11985, 544, 2444, 4673, 269, 2462, 4320, 269, 2462, 3259, 269, 2462, 12740, 269, 8273, 568, 1732, 609, 2462, 1402, 11985, 544, 2444, 4673, 256, 609, 5641, 528, 3282, 547, 16138, 880, 543, 606, 5662, 6921, 817, 11453, 10023, 476, 4335, 1490, 30178, 547, 6952, 1169, 561, 1662, 267, 2462, 1402, 11985, 568, 30891, 3585, 2019, 636, 1944, 267, 13497, 561, 1263, 28517, 267, 543, 7920, 569, 3109, 10756, 13678, 916, 10068, 267, 4583, 585, 530, 19470, 1500, 538, 1630, 345, 17507, 267, 544, 339, 267, 3091, 519, 1655, 10068, 10591, 1299, 8038, 10068, 10591, 269, 6300, 1138, 916, 1934, 267, 3842, 519, 20923, 4308, 619, 610, 707, 2199, 11967, 6300, 10756, 1492, 1482, 585, 3819, 543, 6632, 3440, 17819, 269, 6418, 8006, 267, 6515, 476, 1220, 269, 3259, 267, 6515, 476, 1220, 269, 713, 4320, 9388, 3592, 14311, 609, 512, 22824, 3440, 14200, 7900, 2450, 5786, 593, 28221, 4586, 4252, 1984, 568, 519, 1570, 1373, 7745, 267, 543, 1287, 547, 1159, 1662, 519, 1883, 3937, 267, 4922, 1031, 538, 782, 5686, 540, 22714, 543, 824, 2326, 949, 581, 8860, 540, 3819, 610, 6632, 8860, 269, 3733, 2754, 547, 1683, 596, 609, 281, 6632, 16416, 3440, 1984, 267, 519, 24492, 1826, 3440, 1984, 267, 3819, 16416, 3440, 1984, 267, 3819, 6632, 11425, 1984, 267, 3440, 1984, 267, 3440, 1984, 4586, 329, 592, 476, 2420, 267, 476, 1001, 279, 782, 824, 3259, 543, 3845, 7403, 538, 519, 11973, 1062, 17589, 689, 519, 11281, 11440, 7819, 7403, 269, 891, 7403, 723, 513, 1447, 9266, 11144, 269, 13452, 666, 581, 3989, 607, 519, 3259, 540, 513, 28764, 602, 3123, 922, 9095, 547, 18711, 538, 4010, 2034, 269, 519, 562, 27658, 13304, 568, 519, 3845, 2066, 4586, 1492, 1984, 5179, 814, 513, 3059, 1852, 1770, 602, 729, 1031, 547, 1305, 519, 1984, 3432, 1472, 476, 2004, 269, 10695, 678, 10975, 519, 6099, 3440, 2450, 729, 5833, 1210, 3830, 7626, 1775, 289, 27020, 476, 30500, 568, 519, 6099, 3440, 2450, 267, 4564, 476, 3199, 260, 8429, 2450, 538, 519, 4195, 3049, 6908, 267, 568, 519, 6418, 8006, 27260, 531, 1068, 281, 1294, 938, 3210, 547, 519, 11452, 269, 1284, 1118, 543, 5838, 2679, 2326, 585, 519, 10821, 543, 5010, 4070, 2872, 269, 1306, 513, 5087, 7819, 16073, 540, 22041, 3574, 2472, 267, 8440, 267, 543, 29421, 267, 938, 5561, 666, 1293, 593, 938, 2472, 547, 1628, 2178, 543, 13476, 7874, 3889, 269, 712, 17783, 1446, 3892, 1870, 20205, 513, 3376, 1587, 3575, 8151, 689, 938, 4586, 3147, 639, 1125, 4853, 2645, 623, 322, 554, 1087, 17646, 22862, 1439, 1984, 1305, 267, 1166, 1393, 543, 1166, 1393, 267, 5969, 8006, 689, 476, 22332, 909, 547, 476, 4097, 267, 476, 1911, 476, 275, 269, 277, 856, 540, 6801, 3765, 322, 10756, 3405, 476, 6734, 267, 476, 1001, 276, 1306, 3254, 267, 476, 4817, 260, 540, 16245, 4050, 2478, 2887, 1369, 519, 2039, 540, 476, 280, 269, 279, 4699, 547, 476, 1626, 269, 4510, 4699, 849, 267, 621, 568, 4277, 547, 4063, 602, 519, 21401, 1166, 3147, 573, 4050, 529, 568, 3833, 2147, 538, 3259, 547, 519, 16245, 4050, 529, 269, 14922, 5944, 267, 519, 4589, 941, 711, 2111, 547, 2721, 1022, 8753, 593, 4050, 529, 2450, 543, 5198, 10756, 1721, 6901, 649, 3812, 513, 3440, 1984, 609, 519, 7387, 7516, 540, 476, 20862, 6515, 6418, 8006, 543, 476, 20065, 6515, 3259, 269, 4137, 2982, 5663, 3268, 540, 608, 829, 14939, 3440, 1984, 10756, 10193, 1634, 607, 512, 1653, 4110, 1439, 14200, 267, 891, 1439, 14200, 616, 2587, 1194, 689, 9170, 1063, 543, 585, 20619, 2587, 1194, 27061, 538, 10523, 543, 28633, 269, 17031, 12967, 4009, 1439, 14200, 1419, 1031, 585, 18921, 1154, 543, 533, 1442, 7566, 11912, 538, 9044, 543, 5884, 1818, 267, 891, 1439, 14200, 723, 513, 9043, 609, 17031, 15174, 267, 799, 2569, 1166, 1393, 2736, 720, 543, 669, 6235, 10756, 1492, 3440, 1984, 568, 513, 512, 22824, 1984, 602, 3096, 5374, 11084, 607, 519, 8860, 2923, 269, 519, 3259, 540, 519, 20425, 7387, 568, 2356, 476, 1556, 269, 276, 2053, 519, 7387, 8006, 1547, 1492, 3049, 666, 581, 3819, 267, 609, 1447, 982, 7509, 547, 7413, 3440, 15098, 267, 610, 1793, 25744, 5627, 476, 14225, 271, 260, 1216, 676, 2597, 10756, 20657, 476, 1321, 267, 476, 1001, 277, 3440, 1984, 1379, 9819, 1383, 269, 6632, 8860, 3440, 1984, 538, 6806, 5547, 568, 547, 581, 10480, 476, 1911, 512, 874, 540, 513, 1570, 609, 513, 960, 4994, 540, 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 ]
[ 1935, 4724, 5329, 922, 9422, 282, 1871, 543, 1818, 519, 1587, 10694, 547, 519, 3077, 2551, 676, 838, 745, 1424, 519, 8561, 593, 4006, 543, 267, 3079, 267, 8744, 513, 811, 1271, 3390, 547, 519, 3007, 540, 3237, 630, 296, 24739, 846, 1299, 20568, 267, 476, 1001, 278, 1040, 1635, 11432, 1359, 519, 1699, 25499, 779, 522, 519, 28688, 1325, 12107, 21081, 7637, 24583, 531, 607, 835, 540, 519, 1034, 3811, 543, 3362, 25992, 1490, 1846, 267, 835, 786, 8195, 6338, 3435, 547, 519, 1699, 3510, 4767, 538, 519, 3077, 2754, 543, 693, 519, 1482, 942, 2087, 519, 3510, 676, 20460, 1746, 519, 5223, 540, 519, 2472, 3769, 538, 519, 2504, 540, 519, 27046, 22596, 563, 2026, 513, 4341, 267, 519, 12696, 540, 24799, 2070, 1453, 607, 741, 3119, 3077, 5304, 267, 6140, 1813, 547, 519, 23466, 540, 519, 9138, 1826, 540, 1426, 267, 607, 1134, 607, 519, 2757, 6725, 8905, 6074, 547, 3895, 621, 269, 4595, 1034, 24799, 616, 17479, 607, 513, 2635, 14254, 4781, 543, 1331, 6653, 15098, 267, 971, 607, 4006, 1350, 10270, 267, 24799, 616, 3335, 15469, 609, 1453, 607, 519, 3119, 5304, 538, 2247, 269, 1717, 267, 519, 23611, 538, 2243, 267, 799, 568, 513, 10217, 27046, 22596, 11491, 7637, 267, 786, 581, 17479, 607, 519, 1426, 4781, 585, 1004, 540, 782, 6502, 563, 13295, 267, 519, 2754, 786, 4228, 519, 2039, 540, 922, 1761, 18046, 543, 2099, 519, 1587, 538, 513, 1259, 602, 786, 1450, 1818, 621, 811, 2442, 630, 293, 599, 564, 5336, 334, 648, 1696, 620, 1421, 476, 1001, 278, 1040, 769, 1840, 267, 13267, 547, 513, 6626, 1297, 540, 5561, 786, 948, 519, 3919, 547, 1689, 922, 3239, 4724, 513, 811, 8471, 835, 267, 1818, 621, 4443, 585, 519, 2754, 547, 3895, 14017, 1851, 922, 6800, 269, 4495, 519, 2754, 779, 1587, 568, 1100, 3476, 9763, 607, 1453, 779, 14254, 267, 4079, 786, 1831, 1454, 811, 11235, 547, 6718, 621, 563, 2005, 1058, 581, 7074, 602, 267, 538, 922, 1699, 1106, 267, 519, 1587, 4667, 547, 581, 2864, 9243, 538, 922, 6216, 3239, 269, 634, 28688, 1325, 12107, 21081, 7637, 24583, 531, 1281, 711, 2270, 1022, 12508, 602, 1450, 7114, 621, 609, 606, 2085, 10391, 2551, 267, 799, 568, 1312, 606, 5413, 543, 513, 1966, 269, 2201, 519, 835, 1688, 267, 519, 2754, 1281, 711, 723, 31567, 13684, 9993, 593, 519, 2039, 540, 5561, 547, 799, 621, 666, 14441, 519, 1587, 267, 799, 568, 513, 8969, 1652, 4324, 630, 5141, 858, 867, 267, 476, 1708, 271, 1040, 2201, 519, 824, 1688, 267, 519, 1587, 568, 4867, 5176, 4174, 5529, 540, 7209, 267, 799, 568, 2693, 547, 1118, 621, 9875, 547, 3895, 621, 269, 4475, 267, 2519, 593, 2870, 513, 811, 13267, 6216, 3239, 740, 6220, 519, 5048, 602, 786, 948, 3077, 9458, 547, 9305, 547, 519, 1587, 1732, 568, 19624, 563, 763, 10014, 540, 30646, 883, 519, 1587, 607, 835, 540, 519, 1292, 5820, 2059, 609, 10217, 568, 4397, 547, 1118, 519, 11491, 7637, 23611, 538, 2243, 547, 1796, 856, 1851, 824, 12478, 269, 3245, 513, 1072, 5133, 267, 30646, 1058, 581, 2938, 607, 519, 1034, 3407, 5057, 540, 519, 23611, 538, 2243, 2059, 609, 27046, 22596, 563, 7212, 519, 9422, 1871, 540, 519, 1587, 568, 5594, 21022, 676, 519, 4527, 540, 4006, 267, 30646, 543, 27046, 22596, 22771, 585, 519, 9138, 6161, 630, 291, 1695, 31843, 267, 476, 1708, 271, 1040, 769, 1840, 267, 950, 5466, 519, 4006, 4527, 267, 835, 2115, 547, 11168, 602, 519, 28688, 1325, 12107, 21081, 7637, 24583, 531, 3568, 513, 1360, 1507, 2179, 540, 4006, 538, 621, 269, 13018, 267, 476, 1428, 10101, 540, 4006, 829, 1079, 270, 685, 274, 7484, 540, 519, 23611, 2306, 621, 513, 14758, 3390, 3379, 547, 824, 3549, 602, 1331, 4006, 20662, 880, 569, 883, 741, 2472, 563, 4913, 267, 621, 568, 4502, 5329, 538, 2247, 602, 519, 27069, 476, 1428, 10101, 829, 476, 273, 270, 274, 7484, 568, 519, 4527, 540, 4006, 607, 835, 540, 519, 3334, 540, 519, 11600, 1031, 547, 1711, 519, 23611, 269, 1306, 585, 519, 824, 3029, 538, 799, 4006, 568, 5189, 883, 713, 23611, 267, 1447, 1344, 568, 3177, 269, 1280, 3236, 267, 2016, 519, 4527, 540, 10217, 538, 519, 23611, 267, 607, 1134, 607, 519, 1249, 602, 519, 10217, 538, 2243, 568, 711, 4006, 6954, 267, 621, 786, 581, 16048, 547, 3494, 602, 519, 9138, 5057, 4679, 519, 2179, 540, 4006, 538, 519, 1587, 630, 8722, 3931, 267, 476, 1001, 280, 1040, 4475, 267, 519, 9422, 1871, 540, 28688, 1325, 12107, 21081, 7637, 24583, 531, 949, 2408, 547, 581, 811, 5996, 565, 3176, 982, 519, 2754, 16858, 547, 1459, 547, 922, 9458, 563, 2080, 514, 6013, 519, 3119, 3390, 609, 28688, 1325, 12107, 21081, 7637, 24583, 531, 269, 769, 1931, 547, 3077, 922, 5304, 5265, 543, 2327, 602, 922, 1072, 2115, 616, 1558, 267, 519, 3919, 786, 723, 547, 581, 7357, 12001, 609, 922, 18046, 269, 769, 2490, 267, 519, 2333, 538, 11413, 786, 2154, 12607, 3151, 519, 3334, 540, 519, 1699, 11600, 547, 519, 2489, 5304, 543, 1373, 3003, 9237, 609, 873, 827, 519, 2179, 540, 4006, 593, 519, 1587, 269, 769, 2490, 267, 519, 8545, 4062, 540, 21141, 2270, 519, 1239, 602, 786, 18473, 569, 9983, 519, 3077, 5304, 563, 11997, 267, 519, 11688, 2787, 540, 519, 2754, 568, 2864, 24669, 543, 2653, 547, 26003, 1125, 609, 1813, 547, 519, 6988, 540, 519, 3510, 269, 16480, 267, 519, 1445, 593, 19969, 543, 11413, 786, 1450, 519, 2754, 547, 1832, 922, 9821, 543, 1256, 4482, 519, 3007, 543, 7279, 540, 1007, 3283, 630, 298, 21531, 990, 20391, 267, 476, 1001, 271, 1040, 4935, 267, 519, 6109, 786, 581, 2111, 547, 2327, 602, 594, 2487, 1840, 547, 519, 4839, 14769, 786, 552, 10890, 5829, 2115, 540, 519, 3077, 5304, 610, 267, 693, 519, 1360, 2547, 267, 786, 711, 15936, 609, 741, 10307, 28148, 563, 3725, 6665, 1746, 519, 5820, 602, 519, 28688, 1325, 12107, 21081, 7637, 24583, 531, 3568, 267, 835, 1058, 2446, 519, 2799, 2179, 540, 4006, 607, 835, 540, 519, 13654, 2042, 609, 519, 6216, 538, 2243, 269, 21081, 7637, 24799, 2907, 723, 513, 2864, 4057, 10639, 1813, 547, 519, 30940, 3903, 540, 5820, 543, 519, 1445, 593, 6492, 2864, 982, 741, 9422, 1871, 269, 1306, 513, 1267, 267, 519, 1930, 3948, 7282, 519, 4527, 540, 711, 1152, 10217, 855, 849, 30646, 267, 799, 616, 2864, 1164, 538, 9600, 607, 1134, 267, 568, 2693, 547, 2014, 18046, 547, 1995, 1072, 2152, 267, 5097, 267, 2597, 2744, 267, 950, 10438, 519, 1587, 5781, 269, 1280, 713, 2601, 267, 4227, 519, 2179, 540, 4006, 602, 519, 23611, 3568, 1058, 581, 519, 1101, 1900, 4724, 21130, 543, 5355, 621, 563, 763, 4330, 1689, 1522, 3100, 607, 12303, 7543, 2016, 519, 1249, 602, 519, 3003, 6216, 3239, 540, 519, 1587, 267, 4358, 689, 922, 21055, 22739, 267, 568, 1759, 593, 519, 13319, 540, 922, 2547, 2635, 12146, 267, 12077, 267, 10217, 269, 1717, 267, 676, 4657, 519, 6725, 1935, 5594, 547, 5372, 519, 1699, 10217, 1826, 609, 513, 1454, 18632, 835, 609, 519, 5934, 540, 4006, 538, 621, 267, 835, 786, 581, 2111, 547, 2087, 519, 9422, 1871, 540, 519, 1587, 269, 634, 5912, 689, 835, 1305, 540, 5820, 547, 1776, 786, 581, 15774, 2899, 606, 3617, 6725, 5859, 609, 519, 1445, 593, 2635, 6484, 568, 8045, 563, 2026, 585, 519, 2034, 12146, 267, 12077, 267, 30646, 267, 835, 1058, 2446, 741, 1164, 9422, 1871, 543, 519, 2956, 540, 1519, 873, 883, 519, 23611, 269, 11569, 267, 2687, 547, 519, 2487, 1382, 267, 30646, 948, 547, 2569, 519, 1981, 540, 3384, 9025, 3676, 267, 519, 9138, 1587, 568, 4397, 547, 1683, 3606, 1072, 6454, 3681, 585, 922, 6800, 630, 293, 31804, 1696, 620, 1421, 476, 1708, 271, 1040, 769, 1840, 267, 30646, 723, 1044, 8810, 547, 2061, 3987, 543, 2597, 2744, 630, 288, 1731, 523, 267, 476, 1001, 275, 1040, 4475, 267, 519, 9138, 5057, 540, 519, 23611, 568, 711, 547, 581, 4957, 563, 293, 15968, 540, 29283, 454, 7212, 972, 568, 513, 2178, 6725, 2239, 827, 519, 2956, 540, 23611, 4616, 607, 519, 4493, 585, 3384, 2635, 4189, 6208, 267, 835, 1590, 16153, 519, 3668, 540, 6219, 3297, 891, 6811, 538, 2543, 547, 1034, 23611, 12478, 269, 2060, 20662, 880, 1840, 540, 4006, 543, 824, 3334, 602, 15991, 3565, 547, 1713, 9283, 538, 6800, 685, 1072, 267, 24799, 9090, 1058, 711, 581, 2938, 607, 519, 1587, 4502, 10438, 5781, 267, 1577, 4805, 4749, 563, 4913, 267, 519, 3510, 2242, 5594, 950, 10962, 11491, 7637, 2861, 23611, 883, 519, 4605, 269, 4014, 11491, 7637, 568, 849, 1419, 2938, 513, 606, 677, 615, 14432, 1587, 1813, 547, 519, 4527, 540, 1804, 5666, 540, 4006, 538, 621, 267, 11491, 7637, 2488, 513, 18476, 1648, 5818, 1813, 547, 519, 4527, 540, 11950, 538, 621, 269, 630, 289, 14019, 267, 476, 1001, 278, 1040, 769, 1840, 267, 11491, 7637, 3568, 21187, 971, 607, 10808, 267, 4829, 267, 543, 824, 2635, 543, 3730, 2010, 540, 1426, 267, 799, 568, 1946, 621, 1058, 581, 2808, 607, 513, 2009, 1426, 4781, 563, 2026, 2484, 607, 519, 6216, 896, 2079, 568, 7255, 267, 519, 4527, 540, 10217, 2306, 11491, 7637, 5594, 8902, 2094, 621, 25601, 519, 1898, 9422, 1871, 540, 4158, 10217, 269, 9182, 267, 519, 14909, 4616, 4908, 540, 519, 1587, 538, 2243, 568, 2899, 513, 3018, 269, 9717, 519, 2318, 1764, 540, 10217, 593, 6800, 685, 1134, 5630, 267, 799, 2487, 2090, 6166, 267, 621, 568, 19624, 602, 519, 9138, 1587, 1058, 581, 3769, 883, 1004, 779, 3232, 6980, 630, 290, 1195, 548, 1696, 620, 1421, 476, 1708, 271, 1040, 9603, 547, 519, 4527, 540, 4158, 10217, 538, 519, 23611, 267, 922, 2427, 2360, 267, 3226, 267, 519, 2942, 2360, 540, 4006, 267, 786, 581, 1377, 1194, 609, 519, 2318, 3283, 540, 10217, 269, 769, 1840, 267, 519, 4527, 540, 28113, 786, 1450, 1004, 10438, 621, 547, 11177, 741, 9667, 3252, 563, 288, 1731, 523, 267, 918, 269, 630, 1001, 275, 1040, 5808, 2731, 2306, 3004, 1457, 15608, 779, 1426, 286, 630, 307, 4292, 1449, 1040, 670, 4428, 15838, 5403, 269, 5680, 563, 289, 14019, 267, 681, 269, 645, 269, 630, 1001, 278, 1040, 3281, 7566, 538, 9157, 2053, 281, 6355, 4245, 689, 700, 269, 561, 269, 21167, 267, 3004, 1457, 15608, 779, 267, 8779, 1723, 267, 543, 824, 1158, 11665, 21625, 269, 11038, 8648, 623, 1370, 823, 563, 5141, 858, 867, 267, 595, 269, 630, 1708, 271, 1040, 3245, 10004, 1399, 5520, 547, 1269, 276, 9174, 281, 1215, 3004, 1457, 15608, 779, 7140, 5561, 883, 10178, 18267, 269, 31368, 6195, 269, 5680, 563, 290, 1195, 548, 267, 667, 269, 670, 1421, 18961, 267, 808, 269, 670, 1421, 4144, 570, 13860, 267, 717, 269, 700, 1421, 20961, 573, 267, 631, 1421, 13177, 267, 674, 1421, 3026, 531, 267, 645, 1421, 1299, 7066, 1597, 320, 267, 670, 269, 630, 1708, 271, 1040, 634, 2360, 540, 513, 2706, 21466, 2861, 6304, 593, 519, 9422, 2298, 540, 4357, 2000, 8475, 3536, 281, 589, 17053, 1353, 269, 715, 19153, 267, 476, 1321, 263, 277, 1070, 533, 269, 476, 15433, 273, 563, 291, 1695, 31843, 267, 590, 269, 630, 1708, 271, 1040, 11576, 800, 543, 9422, 6268, 540, 669, 777, 3430, 328, 5423, 689, 12432, 1166, 2293, 540, 21432, 24799, 543, 512, 6160, 328, 269, 4750, 540, 24103, 1758, 657, 344, 543, 24695, 339, 17190, 267, 476, 280, 263, 276, 1070, 6032, 269, 476, 15150, 272, 268, 15150, 277, 563, 293, 31804, 267, 631, 269, 589, 1421, 2473, 26820, 267, 808, 1421, 1299, 19869, 718, 1695, 267, 670, 269, 631, 269, 630, 1708, 271, 1040, 715, 26798, 1871, 540, 24061, 23611, 543, 1732, 3255, 585, 922, 4393, 607, 513, 1871, 14194, 4765, 1426, 281, 513, 3102, 2689, 269, 11879, 17352, 538, 5253, 3163, 543, 12594, 267, 476, 272, 263, 272, 1070, 6032, 269, 476, 272, 268, 1724, 563, 293, 599, 564, 5336, 334, 648, 267, 674, 1421, 5062, 3519, 24274, 267, 589, 1421, 570, 3089, 267, 918, 1421, 1299, 8891, 665, 345, 267, 623, 269, 630, 1001, 278, 1040, 16505, 9724, 543, 14254, 23611, 3903, 543, 922, 1764, 593, 8770, 543, 4006, 703, 1389, 543, 10236, 6248, 3800, 1851, 513, 25422, 11347, 3732, 540, 8241, 1453, 543, 10708, 269, 715, 19153, 267, 476, 280, 263, 1015, 1070, 533, 269, 476, 10441, 276, 563, 8722, 3931, 267, 595, 269, 630, 1001, 280, 1040, 3004, 1457 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 514, 519, 476, 3707, 271, 338, 543, 2038, 476, 4198, 271, 338, 268, 10981, 30315, 729, 4922, 1031, 563, 290, 1228, 267, 593, 519, 824, 1688, 267, 729, 513, 1762, 543, 7164, 31897, 267, 513, 25982, 540, 2622, 2782, 4083, 267, 945, 5249, 538, 513, 6413, 538, 24332, 267, 5245, 267, 1510, 6101, 2866, 267, 1510, 25689, 543, 1510, 3523, 2209, 563, 14367, 2978, 729, 538, 519, 6413, 10051, 269, 1703, 616, 1346, 945, 2161, 602, 1010, 6602, 729, 1813, 547, 9939, 267, 855, 9466, 1281, 711, 7357, 3858, 609, 713, 4879, 563, 2108, 8512, 540, 519, 1184, 267, 646, 729, 18822, 282, 646, 3459, 4758, 25647, 14918, 16864, 6070, 543, 7074, 602, 713, 17159, 873, 269, 1809, 649, 723, 547, 2285, 1864, 5491, 1317, 646, 6743, 693, 713, 543, 2219, 621, 1223, 960, 538, 1004, 267, 538, 812, 545, 2550, 269, 10435, 713, 7914, 267, 547, 803, 267, 568, 1360, 16022, 543, 9356, 1010, 5759, 607, 606, 28102, 20626, 2223, 3081, 9466, 563, 292, 706, 731, 8304, 320, 267, 2212, 540, 519, 24741, 543, 10017, 7896, 693, 519, 2160, 11233, 540, 30209, 267, 6645, 18917, 631, 1495, 334, 602, 267, 4352, 621, 1631, 4667, 9266, 547, 721, 267, 595, 1228, 779, 12316, 2856, 729, 602, 646, 1223, 1521, 2790, 4576, 609, 5061, 267, 1945, 711, 865, 6654, 476, 3583, 1296, 3516, 563, 2108, 3891, 1185, 513, 8367, 267, 799, 729, 6038, 8810, 7301, 267, 543, 602, 729, 602, 579, 878, 3679, 5129, 513, 1883, 1909, 269, 1306, 7408, 616, 711, 7123, 607, 5061, 267, 596, 723, 547, 13822, 873, 538, 519, 1106, 540, 6070, 547, 581, 2111, 547, 8532, 873, 269, 2334, 779, 1141, 16864, 2501, 883, 1404, 269, 1879, 646, 5795, 519, 25647, 14918, 16864, 2712, 622, 267, 646, 4718, 602, 789, 1608, 4364, 1524, 269, 1809, 10416, 1018, 646, 1705, 729, 883, 343, 6510, 519, 25647, 14918, 5608, 6941, 8304, 320, 563, 2691, 595, 1228, 5795, 2550, 16864, 2712, 622, 267, 646, 1336, 606, 6454, 602, 646, 11911, 547, 579, 878, 3679, 267, 711, 16864, 563, 2108, 3719, 2663, 267, 950, 646, 6836, 824, 20919, 267, 646, 4769, 1406, 1205, 519, 1482, 1267, 267, 543, 646, 729, 5100, 543, 17429, 1027, 602, 621, 729, 16864, 602, 1185, 4824, 1010, 2550, 2223, 8591, 8304, 320, 563, 331, 603, 1756, 538, 1973, 454, 14881, 3323, 856, 3206, 594, 729, 2469, 547, 2328, 513, 12092, 540, 595, 1228, 267, 855, 607, 594, 21503, 594, 4121, 267, 585, 1383, 267, 602, 595, 1228, 5128, 1185, 2322, 1010, 960, 593, 3180, 1813, 547, 1010, 2550, 3478, 7210, 269, 1656, 824, 1004, 3576, 519, 2022, 269, 1924, 594, 4956, 547, 798, 519, 1650, 540, 513, 3621, 6602, 1993, 1004, 945, 4121, 689, 824, 1004, 267, 9232, 310, 531, 614, 9466, 6645, 18917, 631, 1495, 334, 563, 7212, 519, 8241, 31897, 779, 476, 1015, 3355, 2550, 4951, 9283, 538, 741, 2790, 1072, 267, 1360, 4166, 930, 540, 1346, 2550, 11124, 4049, 883, 343, 10716, 543, 595, 1228, 5128, 2808, 602, 16864, 729, 5906, 543, 1058, 711, 581, 11311, 563, 3719, 1287, 824, 7189, 538, 5245, 267, 899, 11977, 3004, 583, 1676, 267, 1336, 602, 519, 2179, 540, 16864, 538, 519, 1973, 1223, 581, 6027, 540, 2550, 543, 3976, 2057, 883, 343, 1709, 563, 2026, 26548, 16037, 4856, 1537, 267, 7022, 540, 519, 14861, 710, 5980, 540, 24741, 267, 5143, 18917, 631, 1495, 334, 267, 972, 568, 513, 968, 1492, 8427, 6885, 5608, 1141, 910, 520, 513, 5934, 268, 16864, 568, 711, 2500, 543, 910, 520, 513, 5021, 268, 621, 568, 6757, 281, 968, 4517, 538, 1840, 547, 3257, 519, 6268, 540, 9354, 543, 32097, 2360, 267, 519, 1973, 1449, 2636, 721, 547, 917, 952, 519, 3461, 5360, 625, 610, 1281, 711, 16783, 609, 519, 2126, 9731, 2690, 519, 31897, 8304, 320, 267, 713, 3356, 1500, 676, 3004, 583, 1676, 543, 1010, 2319, 568, 1776, 1390, 4434, 538, 2618, 17226, 602, 649, 28297, 547, 16864, 912, 2108, 299, 603, 1756, 2306, 621, 2556, 547, 6895, 519, 11919, 2157, 540, 519, 3075, 269, 2334, 2306, 3257, 1973, 4255, 593, 17867, 2550, 1118, 2631, 269, 9373, 267, 538, 930, 1259, 267, 811, 4915, 538, 2618, 17226, 2108, 563, 3719, 693, 519, 1482, 942, 602, 538, 5245, 789, 4362, 875, 547, 4308, 609, 519, 17219, 540, 16864, 267, 538, 519, 2136, 2276, 713, 17219, 729, 2469, 547, 1291, 519, 2229, 547, 11198, 621, 689, 782, 7966, 9313, 267, 8637, 543, 1256, 513, 1134, 8153, 6216, 540, 14614, 563, 325, 792, 540, 883, 343, 1709, 454, 9617, 607, 2221, 649, 1616, 547, 5372, 8093, 10173, 609, 16864, 9075, 547, 1379, 938, 6472, 267, 476, 3583, 1296, 3516, 2576, 2219, 621, 1131, 581, 513, 1434, 2856, 547, 946, 16864, 547, 5372, 9770, 534, 1278, 22279, 4496, 602, 568, 1459, 538, 4262, 6070, 543, 267, 4061, 267, 538, 519, 6070, 695, 6033, 540, 782, 6539, 29353, 563, 2750, 947, 633, 9770, 6981, 267, 607, 938, 7189, 723, 2141, 5143, 721, 267, 666, 1291, 547, 1164, 1973, 2604, 267, 2295, 2042, 543, 8459, 5821, 563, 24685, 519, 3735, 476, 3707, 271, 338, 267, 1004, 538, 519, 2475, 3459, 1210, 16864, 17296, 607, 513, 6070, 12990, 585, 1346, 593, 513, 1970, 1606, 18754, 2732, 269, 1656, 513, 2603, 540, 873, 3893, 883, 343, 5344, 267, 789, 3893, 8914, 539, 543, 930, 540, 873, 5747, 2223, 31061, 9466, 563, 763, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 814, 17049, 16864, 543, 922, 946, 538, 824, 6878, 269, 4634, 729, 32585, 689, 663, 519, 14614, 476, 278, 5455, 1993, 799, 621, 729, 606, 12146, 630, 1492, 3312, 2012, 540, 519, 4235, 729, 968, 289, 756, 6441, 8475, 19077, 7007, 19748, 517, 6441, 830, 590, 18649, 892, 1916, 10527, 15111, 2366, 922, 8069, 547, 4894, 621, 689, 26849, 21684, 267, 855, 602, 4250, 540, 16864, 17219, 7283, 538, 519, 8186, 540, 7189, 543, 519, 2489, 1857, 2223, 9466, 6645, 18917, 631, 1495, 334, 563, 1607, 8329, 267, 2687, 547, 713, 31897, 267, 547, 519, 1249, 602, 16864, 568, 711, 11311, 585, 17299, 640, 538, 519, 2475, 547, 519, 1482, 6708, 607, 538, 824, 2477, 269, 1809, 621, 568, 711, 519, 1152, 3815, 912, 2108, 9827, 267, 538, 713, 2197, 267, 513, 1434, 1297, 540, 14453, 3549, 4421, 8185, 824, 5061, 547, 1521, 713, 4524, 267, 609, 10728, 6725, 543, 5230, 13319, 269, 1656, 713, 1185, 513, 2462, 1198, 593, 16864, 4616, 269, 2334, 568, 1946, 621, 568, 6059, 602, 538, 519, 2475, 1152, 476, 1015, 260, 540, 2550, 945, 1223, 4324, 689, 519, 946, 540, 16864, 2965, 946, 621, 267, 1247, 538, 824, 2477, 267, 971, 607, 2342, 267, 922, 946, 568, 476, 2004, 260, 5608, 3081, 9466, 269, 661, 706, 731, 8304, 320, 23216, 609, 713, 7778, 543, 8591, 1007, 3123, 547, 713, 5134, 6412, 563, 2108, 299, 603, 1756, 568, 513, 4915, 29152, 689, 513, 6725, 543, 1870, 5133, 269, 1656, 972, 568, 1776, 3815, 602, 568, 25036, 269, 1284, 616, 6158, 827, 606, 2025, 3075, 267, 609, 2370, 1350, 600, 712, 267, 855, 2094, 621, 1869, 3340, 513, 1978, 2179, 540, 1416, 267, 1287, 1107, 952, 513, 3461, 18417, 1093, 11143, 596, 1107, 789, 666, 647, 324, 596, 9731, 4913, 267, 607, 31897, 26548, 16037, 4856, 1537, 6941, 267, 16864, 5713, 711, 1152, 547, 24644, 519, 3461, 855, 849, 547, 2057, 835, 540, 519, 6574, 12178, 585, 1346, 945, 7985, 689, 17299, 4524, 563, 24685, 1840, 547, 5355, 7099, 267, 1312, 538, 812, 807, 543, 4965, 267, 16864, 6971, 519, 1981, 540, 11980, 2223, 6941, 519, 14861, 710, 31897, 563, 22296, 8336, 267, 803, 6549, 2674, 807, 543, 5876, 454, 289, 13633, 4524, 267, 6941, 519, 19784, 8935, 933, 19537, 15308, 320, 538, 519, 4760, 7186, 267, 5540, 835, 538, 476, 1911, 1004, 11451, 543, 267, 952, 2451, 15860, 267, 3587, 513, 3586, 4783, 540, 552, 25045, 18319, 543, 4965, 267, 4061, 267, 519, 1981, 540, 2921, 1055, 519, 1272, 568, 865, 1164, 563, 10527, 11980, 3928, 585, 2550, 1510, 2126, 789, 616, 1063, 476, 1015, 543, 476, 736, 2053, 2362, 982, 519, 1964, 540, 519, 2551, 5608, 11339, 19537, 15308, 320, 563, 17606, 568, 519, 2068, 602, 568, 2404, 609, 519, 5207, 1981, 540, 11980, 269, 898, 568, 3020, 602, 972, 616, 811, 647, 15969, 1813, 547, 1455, 4965, 267, 1317, 713, 4965, 568, 811, 7928, 267, 855, 2348, 17299, 4524, 11438, 513, 2362, 1981, 982, 1022, 824, 2068, 5608, 25495, 8304, 320, 563, 3719, 1256, 2110, 540, 2921, 741, 1378, 2729, 538, 4965, 267, 2550, 609, 713, 4524, 666, 581, 693, 1390, 1981, 950, 789, 3100, 25981, 543, 19347, 563, 2026, 519, 31897, 594, 6319, 9835, 324, 267, 23122, 540, 519, 5053, 5980, 540, 24741, 543, 10076, 2657, 267, 6941, 547, 18917, 631, 1495, 334, 267, 538, 519, 1034, 8650, 812, 545, 14501, 267, 519, 1533, 540, 552, 25045, 18319, 666, 1291, 1004, 547, 6108, 513, 2603, 540, 2724, 610, 723, 803, 6549, 2674, 545, 1642, 16272, 563, 2108, 6546, 568, 267, 596, 1589, 3544, 540, 4641, 543, 3494, 602, 596, 723, 7060, 602, 616, 711, 8209, 1483, 267, 971, 607, 2348, 4296, 609, 2696, 610, 1373, 519, 5260, 1640, 540, 519, 1158, 3034, 12024, 519, 3461, 6004, 269, 717, 267, 945, 2219, 646, 1223, 2743, 609, 519, 7022, 540, 519, 2136, 2276, 563, 3719, 711, 3388, 568, 607, 4158, 607, 11980, 610, 1642, 597, 1756, 269, 901, 4576, 267, 607, 519, 31897, 11977, 8304, 320, 6941, 267, 814, 1044, 5532, 547, 5876, 540, 25803, 267, 5159, 267, 15023, 543, 5830, 912, 28490, 649, 1413, 693, 3140, 5515, 267, 972, 616, 1082, 267, 930, 1360, 1134, 13006, 543, 1866, 602, 616, 16143, 21904, 269, 630, 27144, 264, 5576, 30977, 267, 585, 1383, 267, 5747, 538, 513, 17867, 6413, 267, 543, 5693, 1185, 812, 545, 543, 19591, 14501, 267, 547, 519, 1448, 602, 649, 1294, 602, 1010, 15885, 616, 19882, 883, 1296, 538, 799, 646, 568, 3834, 2674, 545, 267, 609, 513, 2603, 540, 1648, 267, 543, 538, 824, 2053, 646, 568, 711, 269, 646, 735, 4680, 4986, 267, 1317, 646, 568, 20158, 9731, 294, 8681, 324, 31061, 1776, 3140, 2013, 540, 519, 3095, 1063, 5876, 543, 17299, 640, 912, 28317, 1360, 2312, 2013, 568, 9098, 16423, 267, 945, 1185, 1360, 3978, 19591, 14501, 543, 4171, 812, 5362, 941, 513, 1507, 552, 25045, 18319, 282, 1352, 1705, 711, 1205, 547, 723, 4555, 602, 1705, 711, 3514, 609, 4641, 267, 855, 1010, 7607, 568, 1360, 1644, 547, 891, 3834, 2674, 545, 14501, 269, 1656, 538, 14501, 540, 4965, 594, 729, 711, 3860, 693, 782, 563, 31342, 814, 4330, 519, 6602, 540, 16864, 607, 519, 1034, 4143, 538, 519, 1686, 540, 476, 736, 628, 2540, 2618, 17226, 563, 2108, 10190, 267, 538, 519, 476, 2004, 338, 267, 824, 17867, 5061, 7153, 267, 971, 607, 1346, 1031, 1996, 18624, 267, 543, 693, 519, 1439, 540, 602, 8717, 31520, 267, 855, 16864, 729, 519, 1101, 2223, 646, 6645, 18917, 631, 1495, 334, 563, 309, 2884, 320, 27422, 547, 2911, 827, 17281, 912, 17606, 779, 899, 950, 513, 12658, 19907, 267, 513, 24385, 531, 543, 513, 30622, 758, 990, 545, 14626, 728, 269, 769, 519, 2013, 540, 2618, 17226, 267, 621, 568, 16864, 267, 8392, 335, 668, 8872, 910, 1492, 1101, 25316, 2134, 5328, 268, 543, 519, 1101, 24196, 656, 269, 634, 1101, 729, 15983, 16864, 267, 855, 519, 835, 602, 814, 1185, 513, 22266, 1764, 593, 519, 1686, 540, 2618, 17226, 568, 8392, 335, 668, 8872, 6518, 568, 5189, 883, 17867, 10506, 543, 2636, 7366, 540, 5215, 540, 2550, 547, 581, 26809, 9731, 19950, 5944, 267, 538, 476, 1960, 277, 267, 519, 1977, 19784, 8751, 16423, 324, 5206, 1010, 2376, 968, 28989, 855, 707, 9997, 1175, 5747, 5608, 1141, 646, 8268, 519, 4838, 538, 23798, 543, 24196, 656, 5061, 563, 1103, 621, 646, 1500, 4704, 547, 3627, 595, 1228, 543, 2808, 1010, 6602, 547, 581, 7361, 3743, 585, 519, 1439, 540, 25164, 4519, 912, 10527, 27757, 540, 22506, 1014, 6436, 666, 581, 2040, 4364, 909, 538, 835, 2262, 281, 16864, 2223, 5206, 519, 2141, 11786, 16423, 324, 563, 3719, 4352, 16864, 1705, 711, 1439, 25164, 4519, 267, 621, 814, 4957, 519, 2729, 540, 5215, 540, 2550, 2094, 476, 3707, 280, 267, 930, 689, 606, 2038, 2085, 267, 1866, 1107, 607, 519, 1977, 10564, 7917, 8899, 749, 11339, 1107, 950, 1454, 540, 519, 3441, 540, 519, 2068, 1185, 2907, 1044, 2944, 912, 17606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3741, 267, 552, 3052, 269, 519, 1239, 29627, 1800, 568, 1454, 4443, 269, 901, 6249, 786, 1353, 875, 547, 2936, 891, 2409, 538, 1931, 547, 2569, 519, 12136, 540, 10304, 2042, 971, 607, 2766, 1532, 1746, 269, 634, 6249, 786, 581, 1759, 593, 27418, 476, 273, 268, 276, 1657, 563, 8201, 476, 272, 14550, 519, 5610, 540, 519, 27696, 4798, 543, 519, 1966, 2665, 269, 634, 12854, 3785, 540, 519, 19710, 786, 849, 581, 11251, 883, 519, 2185, 4798, 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 ]
[ 0, 294, 29917, 9436, 568, 1031, 538, 513, 3099, 540, 1949, 543, 3157, 538, 519, 1426, 5663, 543, 11183, 6080, 269, 10705, 9833, 607, 519, 2872, 3044, 585, 1875, 2275, 8707, 11091, 267, 9436, 568, 606, 20522, 267, 11593, 2139, 4781, 269, 2672, 1243, 585, 513, 3099, 540, 3096, 267, 21193, 4088, 2115, 547, 581, 16913, 585, 19454, 543, 1761, 17694, 269, 13689, 593, 519, 1826, 540, 946, 267, 519, 3892, 8756, 267, 543, 519, 2838, 19454, 2157, 267, 1114, 4152, 4566, 1058, 581, 8045, 547, 2327, 3106, 563, 308, 4513, 1280, 21193, 4088, 769, 5253, 6713, 454, 10303, 3536, 616, 16922, 540, 19535, 6464, 267, 621, 568, 519, 2816, 540, 11183, 12665, 543, 1426, 9755, 547, 1265, 2081, 547, 2149, 5567, 543, 2327, 519, 2298, 540, 741, 1587, 269, 27488, 666, 581, 5739, 547, 26437, 3536, 607, 713, 3154, 3123, 519, 1426, 547, 12444, 1125, 543, 666, 5000, 519, 2208, 540, 14471, 630, 310, 3881, 543, 1230, 333, 2795, 2023, 267, 476, 1001, 278, 1040, 16639, 602, 616, 3226, 11630, 547, 891, 4220, 1331, 9761, 16469, 267, 3165, 267, 19787, 543, 4712, 3562, 3887, 520, 2472, 269, 769, 1249, 267, 513, 3791, 540, 4195, 1426, 1281, 711, 3914, 6800, 1813, 547, 3560, 27253, 720, 630, 306, 15115, 24473, 267, 476, 1001, 278, 1040, 3525, 4328, 519, 5790, 540, 519, 11183, 666, 581, 606, 2500, 1259, 547, 2327, 602, 2472, 2611, 2922, 585, 6800, 269, 0, 10907, 17815, 585, 11178, 2068, 2201, 713, 2985, 11137, 12580, 15486, 9615, 476, 272, 269, 11137, 1703, 616, 1079, 2010, 540, 11178, 2068, 282, 30847, 267, 513, 3668, 540, 11178, 9449, 2504, 543, 5409, 628, 21633, 267, 606, 936, 335, 3174, 540, 11178, 9449, 269, 10552, 4255, 616, 1419, 3144, 547, 2268, 2157, 540, 11178, 3613, 574, 6819, 9449, 630, 4811, 295, 1070, 1863, 570, 275, 543, 1863, 2468, 1675, 18333, 1258, 710, 630, 307, 274, 264, 2157, 269, 476, 273, 269, 12580, 12580, 540, 513, 11178, 4524, 1331, 281, 570, 1600, 1145, 11576, 1438, 547, 2837, 971, 607, 3905, 610, 4411, 13379, 2744, 4790, 11692, 12870, 18648, 5834, 26298, 31191, 543, 8467, 26298, 25574, 269, 476, 274, 269, 15486, 769, 7262, 4915, 267, 11178, 4713, 616, 3361, 676, 606, 19261, 540, 11178, 3613, 574, 6819, 9449, 630, 4811, 295, 1070, 1863, 570, 275, 543, 1863, 2468, 1675, 18333, 1258, 710, 630, 307, 274, 264, 2157, 269, 769, 4457, 4915, 267, 621, 568, 3361, 676, 7050, 3002, 610, 513, 10638, 540, 1627, 328, 630, 24479, 1040, 476, 275, 269, 9615, 585, 11178, 3676, 3600, 17815, 543, 4457, 11922, 666, 1312, 581, 1031, 547, 948, 14867, 1623, 339, 335, 1682, 540, 30847, 543, 5409, 628, 21633, 538, 14966, 609, 24118, 6646, 269, 3194, 814, 3254, 602, 22591, 2126, 949, 4481, 948, 538, 11178, 2068, 676, 281, 23207, 1863, 16815, 6918, 710, 630, 10499, 275, 264, 543, 1863, 2468, 268, 1675, 18333, 1258, 710, 630, 10499, 274, 264, 2157, 538, 30847, 28206, 2084, 16796, 2468, 268, 1675, 18333, 1258, 710, 630, 22721, 274, 1070, 2698, 16815, 6918, 710, 630, 22721, 275, 1070, 1863, 570, 274, 630, 10499, 274, 264, 543, 1863, 570, 275, 630, 10499, 275, 264, 2157, 543, 2810, 25436, 17567, 16815, 8527, 1886, 514, 630, 306, 268, 4811, 295, 264, 2157, 538, 5409, 628, 21633, 2920, 532, 593, 2127, 540, 519, 2634, 1634, 547, 2569, 8417, 547, 1928, 543, 2566, 267, 607, 1134, 607, 5009, 11005, 543, 632, 716, 22899, 519, 1412, 534, 3315, 3749, 262, 2634, 267, 799, 568, 3743, 585, 4160, 543, 5855, 23207, 519, 5305, 540, 20722, 27343, 267, 799, 814, 1884, 514, 665, 823, 696, 633, 3601, 25947, 4887, 20765, 543, 4745, 10688, 676, 2810, 2199, 2890, 322, 597, 27218, 267, 799, 11226, 29371, 540, 11926, 26805, 6553, 267, 676, 5009, 5305, 540, 15466, 543, 6375, 558, 617, 17419, 2188, 22108, 1488, 810, 341, 338, 6390, 267, 2349, 698, 3821, 543, 11809, 340, 267, 808, 328, 515, 630, 1001, 278, 264, 774, 8557, 4524, 281, 339, 13015, 609, 22591, 269, 4139, 22711, 540, 11660, 18614, 267, 476, 274, 630, 278, 1040, 6032, 269, 476, 25375, 268, 26631, 269, 31192, 476, 25090, 275, 268, 21327, 275, 11809, 340, 267, 808, 328, 515, 543, 1488, 810, 341, 338, 6390, 267, 2349, 698, 3821, 543, 918, 9926, 990, 338, 6390, 267, 26701, 2088, 630, 1001, 278, 264, 8865, 7797, 910, 3600, 17815, 9615, 585, 15214, 628, 21633, 269, 4139, 4750, 540, 4457, 6925, 267, 476, 272, 630, 275, 1040, 6032, 269, 476, 13199, 268, 11277, 269, 5517, 9917, 564, 8281, 1250, 11178, 2068, 5013, 18694, 269, 0, 18439, 519, 13964, 543, 1451, 827, 5065, 3552, 25154, 609, 713, 1187, 267, 782, 268, 1137, 2534, 2336, 1432, 779, 2349, 334, 4040, 645, 22857, 454, 2005, 779, 2182, 547, 3494, 621, 779, 5176, 4989, 543, 5614, 814, 6368, 16204, 2426, 256, 11354, 20217, 519, 6653, 23964, 540, 5017, 543, 7524, 4778, 540, 28480, 5065, 3552, 25154, 269, 5620, 596, 2479, 15336, 538, 835, 540, 938, 11614, 543, 9289, 1018, 1346, 7524, 3552, 25154, 616, 2965, 1572, 286, 3767, 596, 666, 1451, 2336, 5978, 18162, 543, 3039, 1811, 616, 1869, 1930, 630, 921, 848, 946, 1514, 26865, 950, 13964, 1070, 543, 649, 5000, 596, 547, 1205, 930, 4195, 2011, 543, 979, 593, 513, 3552, 17810, 6968, 256, 11354, 568, 519, 3501, 942, 547, 3605, 5065, 3552, 25154, 899, 10656, 2006, 779, 645, 872, 2583, 543, 14117, 24410, 339, 15039, 563, 16605, 3950, 540, 1018, 596, 1294, 676, 1210, 938, 1548, 779, 2349, 334, 4040, 645, 22857, 3556, 269, 901, 2534, 666, 581, 2944, 538, 513, 3099, 540, 4025, 269, 3399, 676, 3695, 707, 18147, 543, 8378, 267, 543, 952, 596, 1491, 513, 3802, 538, 835, 540, 938, 2199, 6288, 18162, 610, 3039, 1811, 267, 1413, 585, 519, 5065, 3552, 25154, 593, 519, 3556, 269, 4855, 782, 540, 519, 5065, 3552, 25154, 538, 513, 2786, 610, 15497, 1899, 547, 1205, 513, 536, 22857, 256, 1403, 596, 723, 2614, 942, 267, 2119, 547, 1265, 873, 782, 2336, 2252, 596, 2461, 5461, 538, 1565, 811, 827, 5065, 3552, 25154, 267, 2638, 856, 519, 18518, 7111, 7233, 5980, 779, 3896, 256, 0, 763, 31007, 540, 4095, 4182, 1023, 2509, 7177, 5441, 1520, 3939, 814, 1044, 513, 1279, 7555, 2245, 269, 634, 4641, 540, 23504, 538, 4702, 814, 4957, 13497, 936, 519, 2487, 5756, 269, 3962, 1032, 6634, 540, 1053, 2408, 585, 519, 4702, 13675, 11400, 269, 2859, 982, 5215, 540, 12621, 616, 972, 5356, 513, 3318, 4110, 538, 20277, 540, 2029, 1982, 269, 4841, 2408, 585, 1297, 540, 4357, 543, 2229, 12621, 2066, 519, 2197, 269, 634, 1297, 540, 10457, 13197, 23504, 538, 4702, 723, 2799, 28354, 936, 519, 1296, 269, 634, 4702, 1576, 568, 2943, 519, 1034, 8179, 1310, 1851, 782, 519, 4540, 3292, 538, 3127, 543, 519, 1377, 540, 16169, 568, 3833, 10423, 827, 922, 8560, 269, 4634, 18246, 1053, 849, 1413, 585, 519, 7177, 6092, 538, 3127, 563, 763, 6679, 585, 16075, 540, 10457, 538, 519, 524, 913, 1540, 594, 3951, 338, 723, 9450, 538, 1360, 1447, 1297, 269, 901, 568, 519, 2601, 1946, 1034, 540, 519, 4702, 8321, 1218, 723, 547, 1413, 585, 4357, 12621, 543, 9945, 585, 23504, 269, 901, 568, 519, 1448, 1141, 519, 4702, 12621, 723, 11402, 1034, 2242, 538, 519, 23504, 269, 4653, 1034, 540, 519, 4702, 20021, 616, 4947, 689, 4357, 5238, 543, 9945, 2066, 519, 2197, 563, 763, 23504, 538, 519, 594, 3951, 338, 543, 715, 3951, 338, 568, 2944, 998, 519, 1455, 17434, 9980, 8896, 1401, 4461, 799, 2709, 513, 1455, 2666, 585, 519, 8321, 1218, 543, 849, 621, 6770, 11413, 538, 519, 16075, 5773, 540, 4702, 269, 3509, 540, 519, 4357, 5238, 616, 10647, 741, 1378, 13675, 11400, 585, 4702, 23504, 269, 634, 16363, 9945, 616, 17101, 547, 2932, 5094, 13675, 11400, 585, 23504, 269, 634, 4357, 2852, 616, 9277, 547, 3398, 519, 808, 7417, 631, 1622, 6060, 540, 519, 11134, 607, 835, 540, 519, 25046, 7355, 585, 4702, 23504, 269, 4746, 645, 6874, 3663, 3171, 525, 538, 3127, 585, 23504, 616, 9788, 1930, 585, 519, 17729, 10457, 269, 1703, 616, 5215, 540, 12621, 945, 2932, 741, 1378, 1449, 585, 519, 23504, 1851, 799, 930, 540, 873, 616, 3833, 1065, 3176, 563, 763, 5773, 540, 7177, 1520, 3939, 538, 3127, 267, 581, 621, 4357, 610, 2229, 267, 5161, 540, 519, 19169, 540, 3498, 1106, 4553, 676, 5870, 519, 25046, 7355, 267, 519, 13675, 1449, 267, 519, 5542, 5650, 543, 6368, 519, 3561, 19027, 563, 763, 3498, 1106, 585, 519, 4702, 23504, 568, 2139, 2228, 693, 519, 2852, 3896, 610, 693, 519, 3896, 540, 519, 981, 10647, 1560, 269, 634, 3498, 1106, 585, 519, 4702, 12621, 568, 2139, 1310, 519, 5305, 540, 16075, 31015, 269, 769, 2489, 267, 519, 31015, 568, 856, 538, 519, 3923, 540, 4989, 610, 2904, 543, 786, 581, 5645, 11489, 519, 3923, 540, 4864, 610, 5181, 4470, 2390, 519, 2852, 6392, 543, 519, 4808, 689, 6280, 269, 4495, 519, 10457, 6445, 909, 519, 1106, 267, 789, 991, 547, 10505, 621, 1310, 11264, 519, 14261, 543, 7227, 585, 519, 1520, 2466, 9315, 799, 786, 581, 2139, 2228, 563, 763, 25046, 7355, 585, 519, 1114, 12621, 543, 9945, 9775, 9935, 269, 634, 594, 3951, 338, 543, 519, 715, 3951, 338, 2015, 519, 25046, 540, 10457, 689, 741, 16034, 538, 519, 808, 7417, 631, 1622, 543, 4434, 269, 634, 4357, 12621, 543, 16363, 29550, 1305, 519, 25046, 607, 829, 741, 1378, 3652, 11461, 676, 519, 28930, 908, 4703, 269, 4746, 789, 16153, 519, 1053, 1759, 593, 2489, 8013, 11400, 543, 519, 7436, 2838, 9003, 5673, 519, 7177, 30793, 2471, 681, 21403, 269, 3509, 12621, 1131, 1305, 741, 3044, 25046, 7355, 547, 476, 2004, 260, 610, 476, 2568, 260, 6591, 676, 519, 1053, 538, 741, 476, 1321, 628, 610, 519, 840, 268, 17206, 11400, 2059, 609, 519, 7436, 5833, 538, 519, 1880, 13675, 11400, 607, 1134, 269, 634, 1053, 1590, 723, 2257, 6908, 538, 741, 476, 1321, 628, 563, 763, 5542, 1184, 585, 519, 4702, 20021, 568, 2944, 593, 519, 20519, 4493, 269, 634, 5542, 1184, 693, 519, 1283, 4702, 12621, 538, 3127, 568, 3833, 5347, 543, 12001, 269, 634, 16075, 1591, 693, 519, 12621, 5205, 519, 10873, 543, 4808, 540, 519, 2160, 585, 519, 5542, 1184, 269, 634, 16075, 5234, 338, 693, 519, 5238, 616, 1134, 3608, 547, 2582, 856, 519, 1034, 5078, 11134, 585, 741, 2852, 563, 763, 1053, 945, 616, 5275, 23504, 538, 519, 1283, 7177, 30793, 2471, 538, 3127, 1058, 1376, 8600, 689, 519, 9998, 538, 1931, 547, 5150, 513, 10160, 538, 1434, 8257, 693, 519, 1065, 3176, 12621, 2066, 3127, 563, 2414, 917, 811, 827, 519, 1520, 3939, 6713, 538, 5440, 7177, 30793, 2471, 769, 3127, 1289, 721, 693, 1341, 11011, 268, 9032, 275, 27628, 6507, 278, 278, 0, 300, 6717, 6799, 1271, 1382, 3584, 538, 513, 1007, 3126, 593, 962, 19834, 454, 303, 22004, 538, 1753, 13646, 1282, 519, 942, 540, 1351, 7431, 281, 2110, 15872, 676, 3744, 540, 938, 20576, 593, 3344, 540, 834, 20458, 1299, 634, 19004, 8487, 1692, 666, 19501, 8511, 9362, 581, 973, 2194, 3293, 267, 519, 2518, 2333, 538, 5755, 30187, 1379, 5108, 581, 11074, 267, 3486, 9316, 581, 22541, 267, 543, 6237, 2916, 4027, 581, 9580, 12023, 286, 12226, 547, 891, 543, 824, 2055, 616, 3177, 676, 513, 1007, 3126, 540, 962, 19834, 7044, 267, 3812, 676, 519, 12670, 2861, 2916, 1382, 20576, 631, 6717, 630, 300, 2075, 1807, 3194, 4659, 593, 6820, 12780, 543, 8693, 7827, 1040, 634, 1455, 6249, 540, 519, 28706, 8874, 267, 799, 616, 1063, 476, 1015, 543, 476, 1428, 3764, 1279, 543, 538, 2296, 267, 568, 834, 20458, 1299, 634, 19004, 2668, 634, 7044, 786, 581, 3370, 1631, 543, 936, 519, 4947, 4374, 543, 4308, 609, 3344, 540, 17215, 543, 13998, 15095, 2916, 4027, 267, 585, 799, 519, 631, 6717, 267, 607, 513, 3621, 1589, 7382, 267, 2488, 3070, 15129, 3609, 3681, 563, 763, 15872, 2992, 519, 1249, 602, 1310, 519, 12176, 540, 519, 1351, 7431, 3644, 267, 519, 2916, 3390, 814, 1831, 1256, 811, 4143, 269, 4595, 4571, 5336, 1105, 267, 519, 631, 6717, 781, 3309, 960, 1107, 1382, 267, 12326, 538, 12021, 13746, 267, 5188, 12043, 609, 14761, 543, 2923, 960, 1107, 814, 1044, 5645, 856, 3592, 7357, 693, 1753, 269, 634, 962, 19834, 7044, 723, 1631, 849, 1044, 3812, 896, 519, 781, 324, 2175, 269, 0, 10666, 715, 749, 773, 779, 23467, 454, 290, 727, 3643, 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 ]
[ 540, 7819, 8456, 4724, 6710, 267, 538, 476, 2735, 276, 267, 1851, 4057, 1004, 267, 2705, 267, 827, 476, 274, 538, 476, 1015, 1767, 519, 1966, 729, 602, 563, 296, 1087, 1132, 540, 6710, 892, 568, 16922, 540, 2185, 4245, 609, 1079, 936, 31186, 3853, 1397, 602, 6710, 267, 2484, 689, 1373, 4351, 267, 25409, 5540, 22988, 945, 269, 3013, 781, 6710, 1966, 18387, 1405, 4957, 519, 1152, 3364, 602, 814, 568, 835, 540, 519, 2081, 519, 14829, 17531, 23297, 547, 2268, 621, 575, 650, 1014, 536, 269, 634, 1297, 540, 22988, 2713, 538, 6710, 1631, 2338, 936, 476, 5379, 2929, 7194, 568, 1898, 547, 6061, 267, 610, 693, 2547, 5466, 267, 519, 1966, 269, 769, 476, 1220, 280, 267, 476, 275, 3607, 2929, 1004, 2443, 476, 16409, 2600, 540, 519, 2551, 2443, 941, 2713, 538, 6710, 538, 519, 721, 267, 909, 689, 476, 15171, 2600, 540, 563, 18131, 538, 13314, 616, 1869, 476, 3374, 2600, 811, 2693, 982, 2367, 547, 581, 4057, 538, 2152, 2479, 2094, 519, 8087, 2829, 3323, 7893, 6710, 267, 2021, 723, 1044, 269, 3509, 1866, 267, 713, 3810, 9565, 1433, 11130, 602, 5103, 13314, 781, 7805, 2022, 8705, 2856, 585, 519, 1259, 6608, 9619, 519, 3390, 540, 6710, 269, 898, 568, 3020, 602, 13314, 814, 3978, 2042, 540, 6710, 543, 8635, 1869, 267, 632, 26293, 2489, 3278, 891, 2152, 538, 22801, 2081, 269, 634, 2112, 593, 6710, 729, 24903, 519, 1034, 16529, 6469, 851, 540, 1010, 4663, 540, 6710, 588, 4459, 523, 2127, 538, 519, 721, 630, 874, 9369, 676, 9267, 614, 827, 513, 10116, 540, 6917, 22988, 2161, 1569, 547, 1164, 18286, 4950, 568, 513, 2101, 1966, 563, 1103, 1249, 267, 972, 616, 811, 607, 1014, 268, 15330, 15092, 2713, 538, 6710, 538, 1007, 26294, 519, 2203, 12102, 7242, 814, 1831, 513, 2101, 3390, 607, 607, 1014, 268, 15330, 15092, 269, 1403, 596, 2951, 547, 15242, 267, 519, 6710, 568, 6654, 972, 616, 1004, 945, 723, 1100, 2724, 543, 12777, 723, 1100, 1426, 547, 3548, 621, 781, 513, 2370, 3787, 811, 7294, 538, 519, 8087, 563, 2791, 1522, 1589, 602, 519, 2186, 540, 3665, 6710, 602, 1131, 6161, 513, 2518, 3919, 899, 519, 8087, 6082, 814, 1279, 8709, 1639, 538, 713, 269, 769, 1249, 267, 1906, 3584, 538, 13314, 723, 811, 14868, 543, 11475, 4478, 24590, 909, 267, 610, 3384, 513, 3978, 2564, 1966, 782, 723, 519, 1761, 547, 269, 769, 8325, 4334, 267, 519, 721, 1126, 6710, 2557, 8057, 936, 713, 1482, 942, 9619, 891, 2152, 538, 1010, 1883, 16694, 24616, 593, 13314, 781, 7292, 269, 1496, 4338, 17928, 7709, 734, 316, 0, 299, 1853, 2860, 568, 513, 5266, 4686, 1106, 540, 2860, 855, 814, 513, 1164, 9019, 2557, 6797, 11871, 666, 581, 9286, 883, 1079, 2010, 789, 616, 2901, 3119, 267, 950, 519, 2860, 6238, 538, 519, 6797, 3294, 267, 610, 22037, 1738, 267, 950, 519, 2860, 814, 3262, 547, 519, 6797, 689, 930, 824, 851, 540, 519, 1560, 3119, 6797, 269, 1323, 7650, 540, 6797, 2860, 267, 1519, 519, 2009, 2589, 267, 3123, 610, 1981, 2188, 585, 519, 2068, 267, 10368, 4255, 543, 9196, 267, 543, 2126, 3681, 269, 20506, 2860, 1018, 568, 6797, 2860, 519, 6797, 568, 519, 4102, 4835, 1418, 538, 519, 1560, 621, 6013, 896, 519, 1318, 28937, 267, 1175, 9944, 519, 1318, 5761, 543, 29690, 630, 1492, 9245, 2630, 519, 9641, 602, 7575, 909, 543, 1524, 607, 596, 13236, 269, 6258, 811, 827, 6797, 2860, 1519, 922, 4191, 267, 2589, 267, 4220, 267, 4388, 585, 5868, 267, 543, 2126, 3681, 693, 561, 1392, 6269, 677, 1260, 269, 6715, 13577, 6797, 2860, 2126, 524, 339, 8619, 3096, 4359, 4066, 543, 11215, 1416, 2533, 547, 948, 596, 1732, 20496, 2126, 543, 4383, 2427, 2360, 563, 8340, 856, 827, 6797, 2860, 6668, 585, 1142, 3942, 267, 972, 616, 7194, 585, 281, 11667, 6668, 267, 799, 568, 519, 3259, 540, 942, 689, 5868, 547, 519, 1448, 693, 799, 3368, 540, 519, 2550, 616, 1869, 9800, 269, 20506, 2860, 568, 519, 29252, 2208, 540, 9402, 2281, 538, 519, 6797, 621, 568, 849, 1572, 14817, 5448, 610, 14817, 334, 14978, 26217, 1034, 6797, 12970, 538, 519, 8087, 2829, 3262, 547, 519, 6797, 689, 824, 4025, 538, 519, 1560, 713, 568, 5219, 547, 607, 6281, 6797, 2860, 610, 22037, 1738, 2860, 585, 1383, 269, 6168, 6797, 2860, 6797, 2860, 568, 513, 2068, 1141, 29406, 2281, 1106, 538, 519, 8031, 540, 519, 6797, 972, 616, 1079, 2010, 540, 6797, 2860, 281, 14817, 334, 14978, 26217, 563, 27650, 6797, 2860, 568, 2860, 602, 3029, 538, 519, 8031, 540, 519, 6797, 6281, 6797, 2860, 568, 2860, 602, 19082, 547, 519, 6797, 689, 1776, 851, 540, 519, 1560, 1034, 6797, 2860, 568, 6281, 610, 22037, 1738, 3119, 6797, 2860, 267, 799, 6238, 538, 519, 6797, 267, 6589, 585, 827, 476, 273, 260, 540, 11871, 538, 519, 721, 269, 12580, 543, 4191, 540, 6797, 2860, 630, 515, 6312, 334, 14978, 26217, 264, 1331, 795, 16184, 823, 267, 14159, 11926, 543, 1928, 267, 543, 22224, 3952, 1224, 827, 6797, 2860, 6668, 3928, 267, 1272, 19104, 267, 5933, 267, 23567, 267, 2126, 267, 543, 22037, 1738, 6797, 2860, 269, 4975, 540, 4126, 2860, 4099, 19646, 513, 30856, 6797, 2860, 3292, 609, 1158, 3146, 11471, 23262, 543, 835, 540, 519, 1655, 5638, 540, 3106, 267, 5647, 267, 543, 1279, 3856, 4093, 269, 20506, 2860, 568, 513, 2860, 602, 6238, 538, 519, 6797, 2860, 6238, 950, 2281, 538, 519, 1560, 2253, 547, 1332, 856, 540, 1852, 2281, 538, 5176, 1022, 851, 540, 519, 1560, 666, 1831, 2860, 267, 543, 666, 3262, 547, 824, 2127, 540, 519, 1560, 563, 7343, 6918, 2954, 476, 1789, 267, 7785, 1004, 616, 8995, 609, 6797, 2860, 1169, 1032, 2687, 547, 519, 7819, 2860, 2486, 519, 9860, 540, 713, 2860, 568, 1813, 547, 519, 1909, 519, 6797, 4249, 538, 938, 4703, 607, 519, 4102, 14189, 538, 707, 3003, 1560, 267, 707, 6797, 568, 3743, 585, 19003, 543, 14874, 13802, 269, 634, 6797, 568, 519, 4102, 1418, 538, 519, 1560, 621, 4249, 1271, 5107, 538, 1082, 3157, 267, 1519, 12536, 543, 1973, 32378, 2860, 540, 519, 6797, 568, 835, 540, 519, 1034, 6385, 2810, 2010, 540, 2860, 538, 519, 8087, 2829, 519, 6797, 568, 519, 4102, 1418, 538, 519, 1560, 621, 4249, 1271, 5107, 538, 1082, 269, 20506, 2860, 568, 2860, 602, 5956, 538, 519, 2281, 540, 707, 6797, 707, 6797, 568, 513, 11176, 13355, 1418, 602, 18795, 538, 519, 5580, 1318, 6712, 540, 707, 17737, 267, 9944, 707, 29690, 543, 1657, 707, 7181, 1896, 2010, 540, 2860, 666, 1106, 538, 519, 6797, 519, 1034, 1455, 1826, 540, 6797, 2860, 568, 563, 299, 1853, 2860, 666, 581, 513, 3119, 2860, 602, 6238, 538, 519, 6797, 267, 610, 513, 6281, 2860, 602, 6238, 538, 1776, 851, 540, 519, 1560, 543, 19082, 547, 519, 6797, 269, 2659, 6797, 568, 519, 4102, 1418, 3330, 707, 1560, 621, 2337, 707, 1560, 7558, 1426, 267, 4558, 1648, 267, 543, 4894, 1093, 11143, 3119, 6797, 2860, 6238, 538, 519, 6797, 269, 2311, 3288, 30750, 267, 938, 23499, 6887, 1683, 2550, 609, 519, 1034, 5499, 6797, 2860, 11257, 2919, 693, 519, 4182, 262, 521, 3056, 1382, 7740, 267, 607, 1134, 607, 519, 4316, 547, 7119, 538, 4791, 8062, 269, 661, 561, 24521, 1696, 620, 6797, 2860, 476, 277, 630, 272, 1070, 476, 2767, 268, 3451, 476, 1001, 277, 18051, 476, 3066, 2487, 13217, 906, 538, 954, 14846, 2234, 5735, 2553, 543, 538, 554, 764, 3461, 5542, 723, 19658, 1732, 2199, 1852, 540, 519, 2068, 519, 7636, 27992, 540, 554, 764, 547, 3589, 519, 3210, 547, 512, 864, 543, 512, 2801, 786, 7494, 948, 19353, 563, 2467, 568, 1100, 971, 3364, 607, 6296, 6797, 2860, 1169, 3461, 781, 6797, 2860, 568, 1114, 267, 609, 1114, 267, 14350, 2189, 6090, 543, 6675, 6117, 1142, 1268, 781, 1808, 2860, 519, 6797, 568, 519, 4102, 4835, 1418, 538, 519, 1560, 621, 568, 4092, 593, 519, 1318, 2427, 540, 519, 17737, 896, 519, 269, 20506, 2860, 2443, 3102, 7650, 6227, 2589, 267, 5868, 543, 2126, 540, 6797, 2860, 267, 1519, 14817, 334, 14978, 26217, 269, 12729, 6797, 2860, 568, 1141, 519, 2860, 24865, 538, 519, 6797, 1451, 827, 6797, 2860, 5574, 543, 6668, 2557, 5013, 2228, 269, 4855, 909, 3562, 15082, 1344, 827, 6797, 2860, 267, 1519, 6797, 2860, 2589, 267, 543, 1451, 827, 18189, 1793, 15351, 11337, 18146, 781, 8441, 538, 5868, 543, 2126, 563, 1432, 568, 6797, 2860, 3119, 6797, 2860, 568, 2860, 602, 3029, 538, 519, 8031, 540, 519, 6797, 519, 6797, 267, 835, 540, 519, 4102, 8219, 538, 519, 1480, 1560, 267, 568, 4092, 593, 519, 1318, 2427, 540, 519, 17737, 543, 568, 6870, 676, 519, 10775, 21799, 269, 2201, 713, 2985, 281, 596, 786, 1451, 827, 519, 1114, 5574, 7189, 946, 585, 1004, 609, 713, 1826, 540, 6797, 2860, 946, 519, 10624, 547, 1294, 824, 3817, 269, 12580, 540, 6797, 2860, 666, 1331, 14159, 543, 13105, 16405, 1928, 267, 795, 16184, 823, 267, 543, 2597, 2530, 1451, 1018, 21855, 4191, 543, 8374, 949, 2049, 269, 20506, 2860, 4386, 950, 519, 2635, 2281, 1369, 713, 1418, 8263, 606, 796, 11499, 543, 18811, 748, 5920, 543, 2623, 1498, 1896, 2188, 1223, 2333, 835, 781, 13438, 547, 6797, 2860, 267, 29015, 267, 17537, 536, 543, 17537, 524, 616, 17019, 547, 581, 519, 3056, 3123, 540, 6797, 2860, 563, 299, 1853, 2860, 12665, 693, 19060, 1683, 4359, 267, 10531, 1416, 1519, 6391, 543, 6098, 5574, 269, 12729, 6797, 2860, 568, 2860, 602, 3029, 538, 519, 8031, 540, 519, 6797, 6281, 6797, 2860, 568, 2860, 602, 19082, 547, 519, 6797, 689, 1776, 851, 540, 519, 1560, 269, 9615, 540, 6797, 2860, 538, 4079, 5673, 593, 519, 3942, 2126, 3681, 1331, 646, 335, 622, 551, 3912, 267, 6797, 13003, 267, 705, 3175, 267, 6850, 1602, 566, 3797, 630, 30794, 1070, 2377, 565, 1436, 3797, 267, 6098, 3797, 267, 543, 5924, 5982, 3797, 269, 0, 1892, 1893, 568, 17916, 3040, 972, 568, 513, 942, 585, 1893, 11601, 3040, 1893, 11601, 568, 1454, 811, 2352, 2663, 593, 910, 2813, 269, 2991, 519, 2565, 1974, 267, 1034, 2043, 3068, 7965, 538, 1565, 513, 1893, 1210, 7003, 928, 6199, 779, 2565, 1974, 8367, 543, 824, 2618, 565, 3907, 2065, 269, 634, 2565, 1974, 8367, 630, 322, 874, 264, 4016, 547, 513, 1279, 29280, 7521, 538, 23316, 543, 1893, 11601, 936, 519, 6708, 547, 799, 519, 2702, 547, 10536, 1893, 269, 3689, 1893, 11601, 519, 2565, 1974, 8367, 630, 322, 874, 264, 2829, 602, 519, 1101, 1906, 1296, 540, 1272, 13822, 519, 942, 1282, 799, 1893, 10953, 11593, 269, 769, 2034, 1893, 11601, 1382, 267, 519, 2565, 1974, 8367, 630, 322, 874, 264, 6585, 602, 519, 1599, 1063, 6267, 262, 2085, 543, 741, 18687, 547, 269, 589, 2565, 1974, 538, 6530, 4016, 547, 513, 1808, 942, 1282, 1646, 950, 519, 2634, 568, 3226, 32615, 547, 16565, 513, 5578, 610, 1702, 950, 4598, 563, 1103, 519, 2361, 540, 2034, 1893, 11601, 630, 338, 5055, 1070, 875, 1808, 3344, 540, 1565, 513, 1875, 28921, 1893, 630, 331, 273, 264, 949, 581, 4299, 676, 950, 519, 1184, 5956, 568, 1201, 269, 901, 3992, 6227, 519, 2565, 1974, 8367, 267, 799, 568, 513, 3069, 689, 23316, 602, 5267, 1453, 616, 1732, 693, 1565, 4654, 982, 269, 5851, 2069, 2565, 1974, 8367, 543, 922, 10083, 547, 2034, 1893, 3450, 2565, 1974, 8367, 543, 922, 1289, 713, 1974, 607, 2565, 269, 595, 1758, 604, 542, 476, 2412, 263, 476, 1960, 272, 264, 476, 14689, 268, 1001, 519, 4720, 540, 519, 2565, 1974, 585, 1893, 11601, 281, 685, 4607, 15292, 476, 1691, 476, 1960, 271, 3803, 14469, 7608, 949, 476, 1428, 563, 763, 21777, 1383, 540, 2565, 1974, 8367, 568, 513, 2013, 2404, 609, 513, 8004, 12183, 24887, 1024, 773, 538, 476, 3192, 271, 267, 1024, 773, 729, 1336, 676, 1514, 4600, 538, 17485, 2587, 7062, 267, 1608, 4727, 269, 11879, 1974, 8367, 476, 272, 2565, 1974, 8367, 476, 273, 7291, 1775, 2565, 1974, 8367, 630, 322, 874, 264, 513, 1018, 568, 524, 874, 269, 634, 2565, 1974, 585, 1893, 11601, 543, 535, 1968, 1453, 519, 2565, 1974, 585, 1893, 11601, 543, 540, 519, 2565, 1974, 8367, 563, 13553, 1893, 11601, 543, 519, 2565, 1974, 8367, 12995, 676, 30602, 5017, 784, 6280, 540, 751, 343, 553, 1876, 5270, 2144, 331, 29231, 27498, 267, 21101, 269, 11334, 2852, 267, 897, 3518, 807, 6280, 267, 2324, 4574, 538, 512, 525, 565, 1299, 4294, 23316, 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 ]
[ 6381, 269, 1635, 1100, 12701, 540, 519, 9345, 666, 15352, 24955, 779, 3450, 593, 1163, 4026, 566, 3514, 883, 519, 4214, 540, 2048, 534, 6662, 610, 8471, 5837, 5168, 685, 256, 898, 729, 513, 1434, 4062, 540, 4052, 5796, 538, 1010, 1554, 950, 1453, 1185, 1100, 1797, 267, 15877, 513, 5458, 4704, 5399, 543, 942, 267, 547, 5486, 656, 519, 7508, 2262, 269, 3767, 1022, 1599, 958, 2148, 622, 1126, 666, 1265, 519, 7508, 2262, 538, 7643, 267, 865, 1163, 4026, 566, 1131, 3274, 4492, 929, 584, 1304, 7279, 269, 2368, 6071, 3871, 899, 713, 798, 1689, 609, 942, 543, 2154, 1114, 3029, 540, 2962, 269, 901, 568, 711, 631, 3036, 3201, 8887, 13659, 563, 288, 2417, 1448, 556, 9956, 779, 9228, 25848, 523, 640, 269, 12429, 1546, 299, 718, 334, 5206, 912, 2108, 2507, 2835, 610, 824, 12591, 2270, 25848, 523, 640, 950, 789, 538, 1529, 322, 622, 610, 4363, 791, 675, 6411, 267, 610, 18973, 875, 891, 949, 581, 8149, 282, 950, 789, 1521, 21359, 540, 791, 12053, 610, 1936, 622, 1799, 7394, 5013, 610, 2984, 538, 971, 513, 6073, 607, 547, 1118, 13030, 3100, 782, 1005, 610, 533, 30972, 762, 547, 519, 5497, 5467, 282, 950, 606, 2144, 5328, 5888, 676, 1893, 267, 782, 16272, 267, 3877, 267, 25091, 2126, 267, 3092, 1421, 3947, 23146, 547, 3662, 6612, 3034, 7922, 690, 7970, 1360, 5432, 609, 9956, 779, 960, 267, 607, 10353, 547, 1346, 945, 616, 11461, 676, 519, 8369, 540, 1866, 610, 2413, 2048, 10520, 331, 725, 685, 949, 9794, 585, 2933, 952, 1010, 1568, 3514, 971, 513, 6609, 269, 3509, 2413, 1568, 6157, 798, 563, 1103, 1840, 547, 713, 594, 1590, 6085, 593, 519, 1739, 6811, 1500, 538, 519, 1576, 540, 707, 2022, 912, 8072, 296, 798, 711, 3398, 602, 23597, 267, 543, 1256, 519, 1101, 14308, 1218, 540, 519, 1974, 896, 4901, 267, 941, 964, 31731, 2213, 547, 3618, 344, 543, 2116, 775, 6643, 543, 7180, 269, 16241, 5132, 543, 11419, 941, 2484, 811, 10731, 585, 865, 2192, 18022, 1441, 513, 2528, 547, 723, 11478, 538, 555, 810, 324, 2395, 563, 2507, 763, 1004, 540, 1346, 2053, 941, 2484, 811, 6213, 538, 741, 20339, 547, 2116, 523, 640, 543, 791, 12053, 267, 676, 2601, 540, 5132, 543, 519, 11419, 540, 2696, 267, 982, 789, 616, 2221, 269, 10371, 4537, 6832, 779, 1158, 729, 513, 1158, 540, 32672, 4705, 5837, 18408, 799, 835, 15333, 1597, 539, 2390, 519, 829, 559, 540, 835, 779, 32161, 9997, 269, 7937, 9811, 267, 789, 941, 2484, 811, 15568, 538, 2247, 543, 25903, 982, 519, 1004, 540, 2221, 267, 543, 18867, 811, 8650, 569, 6857, 540, 25848, 2940, 543, 791, 675, 1893, 19028, 20062, 2969, 11631, 29813, 806, 585, 713, 5225, 8627, 9956, 729, 4535, 538, 476, 14444, 275, 269, 15352, 6754, 8633, 630, 14631, 275, 910, 5392, 264, 1185, 12912, 513, 8189, 547, 4983, 519, 1533, 540, 519, 5783, 543, 538, 476, 15150, 271, 853, 269, 22695, 520, 3780, 700, 1195, 7637, 1185, 8547, 519, 20908, 7057, 547, 4217, 519, 15352, 538, 6963, 532, 513, 5783, 538, 799, 7377, 525, 543, 9315, 10904, 1185, 1831, 1932, 1158, 569, 267, 536, 686, 25053, 547, 2744, 5783, 5604, 729, 7839, 267, 607, 729, 683, 13607, 1143, 267, 20708, 625, 1185, 4503, 741, 9015, 267, 791, 12053, 729, 678, 1057, 538, 519, 16034, 540, 519, 15796, 543, 23464, 543, 519, 9513, 540, 18656, 326, 1878, 729, 530, 773, 569, 26884, 269, 16840, 540, 519, 1225, 807, 5706, 539, 519, 15024, 267, 543, 621, 7012, 1406, 2394, 476, 15150, 276, 602, 519, 7027, 540, 570, 1370, 729, 7036, 539, 968, 2507, 1729, 970, 597, 335, 622, 865, 1082, 1034, 16160, 646, 637, 625, 267, 547, 6963, 26069, 543, 11177, 3235, 27036, 20292, 9015, 6100, 1924, 972, 616, 519, 1913, 540, 519, 13099, 531, 18409, 538, 21533, 540, 782, 713, 269, 4746, 267, 519, 7027, 3294, 17019, 602, 13162, 779, 27693, 1185, 1044, 19430, 2048, 676, 519, 20440, 267, 1285, 541, 823, 543, 7484, 7190, 540, 23464, 9957, 898, 28715, 28407, 1519, 519, 8066, 540, 1896, 26720, 13039, 676, 835, 24649, 267, 519, 1655, 12976, 540, 7957, 2293, 593, 14077, 543, 2348, 5134, 19843, 269, 898, 27618, 519, 9042, 540, 18656, 326, 1878, 267, 543, 1572, 585, 5783, 3401, 547, 2057, 519, 10545, 540, 24966, 563, 763, 7027, 8694, 538, 476, 14444, 274, 267, 543, 609, 621, 3357, 519, 1376, 540, 519, 22388, 268, 3725, 4146, 950, 1390, 5609, 2996, 941, 8719, 676, 1390, 25598, 543, 519, 7826, 3288, 640, 7930, 2968, 3514, 585, 519, 6609, 596, 4294, 547, 519, 4505, 2085, 1107, 791, 1601, 4601, 267, 2016, 519, 13313, 540, 23464, 543, 9821, 6534, 543, 8214, 1194, 693, 570, 1370, 269, 1284, 917, 782, 1932, 1134, 1018, 4523, 547, 519, 13265, 950, 519, 1352, 17731, 1091, 10205, 873, 563, 763, 2243, 602, 5189, 713, 8142, 729, 281, 968, 24078, 5261, 32599, 525, 701, 732, 589, 7826, 7536, 296, 1589, 519, 2626, 547, 602, 2243, 267, 2016, 1018, 3140, 2963, 1869, 3788, 267, 568, 602, 646, 729, 711, 513, 7826, 267, 855, 513, 1875, 1790, 847, 6005, 29842, 534, 563, 2026, 585, 707, 824, 2798, 267, 594, 1131, 31635, 2303, 649, 4734, 621, 972, 2094, 649, 616, 711, 2469, 547, 3858, 269, 594, 4625, 3858, 609, 519, 5783, 3450, 4843, 538, 2605, 269, 1546, 299, 718, 334, 779, 1557, 267, 855, 621, 4667, 596, 723, 31681, 827, 621, 563, 763, 835, 3364, 594, 1131, 1448, 856, 568, 602, 676, 519, 942, 9956, 2968, 513, 1762, 2937, 267, 602, 13411, 4831, 268, 3725, 4146, 596, 3277, 547, 729, 1134, 896, 1259, 538, 519, 5783, 543, 538, 2486, 269, 1261, 729, 4535, 835, 1032, 1310, 570, 1370, 267, 2687, 547, 707, 13859, 7389, 269, 1924, 676, 707, 1378, 15415, 596, 15983, 6166, 891, 1913, 540, 9553, 912, 2108, 907, 4537, 6832, 779, 1158, 729, 513, 1158, 540, 32672, 4705, 5837, 18408, 799, 835, 15333, 1597, 539, 2390, 519, 829, 559, 540, 835, 779, 32161, 9997, 269, 7937, 9811, 267, 789, 941, 2484, 811, 15568, 538, 2247, 543, 25903, 982, 519, 1004, 540, 2221, 267, 543, 18867, 811, 8650, 569, 6857, 540, 25848, 2940, 543, 791, 675, 1893, 10200, 7536, 2108, 9824, 16406, 5132, 543, 11419, 941, 2484, 811, 10731, 585, 865, 2192, 18022, 1441, 513, 2528, 547, 723, 11478, 538, 1346, 2395, 3034, 5970, 596, 2479, 6594, 267, 19158, 11446, 3780, 267, 519, 19623, 8964, 540, 519, 4400, 5664, 12698, 267, 519, 1974, 693, 799, 519, 7826, 18321, 729, 693, 922, 5207, 286, 22682, 711, 267, 585, 596, 1131, 1287, 581, 3222, 602, 519, 13557, 540, 519, 1004, 941, 607, 3618, 344, 607, 1022, 649, 1294, 2221, 269, 1656, 1946, 12582, 1406, 789, 723, 1044, 286, 12280, 267, 4576, 267, 5208, 543, 519, 18653, 941, 1175, 607, 1454, 540, 741, 2729, 607, 789, 616, 2221, 538, 23600, 563, 2791, 18174, 3054, 952, 596, 1589, 938, 17454, 29509, 2062, 321, 8986, 630, 1721, 3236, 264, 941, 1022, 1114, 267, 5103, 741, 1390, 29513, 945, 10736, 519, 25384, 10656, 267, 16586, 543, 1866, 267, 741, 1390, 7826, 18301, 971, 607, 589, 1409, 1042, 543, 589, 564, 3559, 16330, 267, 741, 1390, 5939, 5443, 269, 11569, 267, 1169, 2083, 20321, 2262, 2221, 538, 519, 2296, 1893, 568, 6986, 17454, 29509, 269, 5272, 835, 563, 296, 25077, 602, 30871, 4422, 1927, 609, 513, 1978, 3618, 1465, 281, 538, 1249, 713, 12582, 1406, 9983, 721, 693, 782, 267, 2016, 602, 519, 7826, 6497, 1275, 2369, 2478, 543, 7143, 3699, 4641, 267, 543, 891, 1919, 15983, 616, 851, 540, 4641, 267, 1256, 952, 711, 835, 540, 513, 3810, 25259, 2470, 610, 1018, 596, 1522, 1289, 968, 322, 738, 3293, 9731, 296, 4076, 23503, 713, 1641, 547, 2669, 855, 3411, 823, 621, 547, 2161, 594, 1810, 1406, 3226, 1416, 585, 707, 2070, 540, 519, 5783, 543, 23597, 607, 3622, 6899, 609, 968, 792, 20321, 5608, 630, 26074, 2116, 2940, 264, 1893, 269, 2334, 779, 711, 513, 5783, 610, 1004, 594, 21028, 2221, 610, 689, 1686, 563, 2791, 2461, 1318, 547, 2161, 602, 23597, 543, 519, 5783, 10950, 968, 516, 1275, 5608, 855, 621, 779, 519, 4641, 540, 11419, 267, 540, 5609, 267, 610, 16495, 543, 519, 3668, 23476, 267, 711, 10343, 540, 5609, 995, 543, 2116, 2940, 1893, 1317, 649, 2461, 1483, 1235, 269, 3143, 267, 649, 1174, 602, 621, 4422, 593, 855, 649, 949, 2760, 29343, 621, 267, 1454, 1447, 7119, 269, 901, 568, 519, 3020, 3450, 540, 519, 5783, 543, 519, 25598, 563, 293, 718, 523, 1480, 2470, 543, 28099, 14855, 267, 679, 333, 984, 1194, 1480, 2470, 616, 538, 930, 2081, 267, 899, 2648, 543, 13842, 267, 1360, 2673, 1927, 282, 1256, 1079, 5011, 540, 519, 1482, 11777, 269, 901, 666, 581, 5693, 2938, 538, 9956, 779, 960, 563, 4537, 6832, 779, 946, 540, 513, 1978, 682, 23424, 1145, 267, 606, 3618, 1465, 267, 568, 585, 803, 513, 1249, 602, 2306, 1010, 30871, 811, 267, 711, 1447, 267, 2693, 563, 1432, 513, 9490, 8343, 269, 3807, 607, 1134, 621, 779, 4636, 610, 621, 1131, 6494, 856, 1360, 3983, 6786, 827, 519, 7826, 5783, 563, 2467, 568, 3140, 2963, 602, 9956, 729, 711, 7826, 269, 3502, 835, 1268, 945, 9969, 4181, 609, 602, 814, 1044, 2111, 547, 3142, 4464, 30137, 2963, 630, 2421, 799, 594, 1611, 3140, 1249, 1040, 901, 6645, 803, 602, 1346, 945, 2226, 519, 4661, 602, 9956, 729, 7826, 616, 711, 9117, 1843, 1947, 563, 26773, 569, 9490, 269, 898, 779, 1582, 17272, 1211, 950, 835, 5654, 693, 7969, 267, 5053, 267, 5824, 1977, 543, 824, 7826, 4529, 563, 2005, 729, 849, 1360, 1454, 519, 1482, 538, 840, 268, 3725, 4146, 4789, 269, 594, 8806, 1448, 856, 519, 4641, 540, 2442, 2528, 538, 7826, 7239, 267, 1141, 1004, 666, 1413, 3023, 543, 865, 593, 968, 514, 519, 3750, 5608, 799, 1346, 4529, 945, 723, 1044, 998, 519, 27869, 2065, 1984, 2965, 3112, 269, 634, 2413, 16350, 689, 12689, 547, 6132, 550, 1190, 1145, 568, 513, 1114, 2339, 15587, 563, 296, 5941, 713, 968, 290, 987, 4301, 3618, 1465, 892, 609, 513, 5449, 25110, 17308, 593, 1236, 4286, 713, 10543, 269, 1261, 267, 513, 29966, 17308, 609, 1896, 2477, 3297, 1864, 543, 513, 1390, 1702, 540, 5783, 1686, 267, 8815, 609, 803, 4625, 563, 3383, 596, 1336, 513, 17308, 945, 8815, 609, 596, 4625, 827, 968, 290, 987, 4301, 3618, 1465, 16634, 290, 987, 4301, 7239, 2507, 3602, 1004, 666, 1413, 3023, 543, 865, 593, 538, 519, 3750, 2507, 7536, 288, 7826, 17308, 945, 568, 4625, 693, 8897, 609, 3023, 268, 10849, 612, 539, 7239, 2507, 3767, 972, 779, 513, 9983, 2336, 11514, 6588, 576, 995, 16253, 269, 634, 812, 594, 993, 13288, 547, 568, 513, 31494, 945, 568, 28025, 31249, 538, 14985, 543, 945, 267, 1498, 2713, 2484, 2476, 689, 1010, 3993, 2777, 267, 2729, 513, 5676, 1441, 3909, 1272, 563, 3240, 5796, 1131, 581, 547, 581, 2264, 4896, 267, 17308, 267, 3909, 610, 2482, 267, 945, 6645, 596, 602, 519, 5783, 568, 21453, 609, 519, 21705, 3168, 3023, 538, 519, 3750, 269, 2334, 10206, 13733, 538, 519, 3068, 540, 3388, 519, 5783, 11414, 827, 15468, 1480, 2470, 269, 898, 779, 711, 27869, 2065, 547, 3180, 547, 519, 5783, 779, 3450, 538, 713, 2339, 267, 621, 779, 535, 23474, 543, 2348, 606, 1620, 540, 14026, 540, 5609, 563, 296, 798, 917, 602, 519, 5391, 5644, 5189, 713, 1007, 1523, 540, 3168, 3023, 538, 519, 3750, 1310, 519, 28912, 4083, 4838, 267, 543, 609, 14042, 2360, 269, 3367, 2605, 269, 1546, 299, 718, 334, 779, 1557, 12341, 3116, 593, 713, 5816, 543, 596, 3580, 1294, 519, 8594, 563, 8802, 8973, 791, 12053, 540, 1022, 2186, 267, 853, 269, 623, 879, 1767, 281, 968, 4777, 711, 1577, 621, 865, 1454, 607, 581, 3957, 1851, 596, 267, 607, 939, 558, 996, 25598, 6100, 2334, 779, 513, 2484, 3956, 689, 3168, 3023, 2786, 538, 519, 3750, 2336, 2791, 4076, 14406, 519, 1448, 21354, 267, 610, 594, 723, 21354, 6829, 621, 269, 21894, 563, 296, 993, 30590, 547, 1224, 9478, 13428, 576, 779, 3210, 547, 519, 7826, 22605, 2376, 11855, 1657, 563, 763, 2963, 568, 11566, 569, 22051, 538, 12797, 540, 9956, 779, 30871, 563, 7312, 2022, 540, 476, 1321, 269, 1724, 600, 2221, 4682, 883, 20208, 267, 4440, 1317, 596, 723, 9896, 538, 609, 513, 1114, 4757, 2232, 1107, 707, 1285, 20345, 568, 7923, 547, 707, 4757, 2232, 538, 946, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 1556, 260, 4951, 32592, 550, 2623, 630, 8201, 476, 273, 294, 1070, 543, 476, 2420, 260, 4951, 10728, 2623, 630, 8201, 476, 273, 295, 1040, 1879, 519, 6688, 941, 19882, 267, 476, 4649, 260, 540, 519, 5396, 538, 519, 1852, 1895, 941, 9286, 538, 519, 4791, 7121, 585, 4835, 1944, 2042, 630, 8201, 476, 273, 296, 1070, 476, 4649, 260, 1185, 5007, 1944, 2042, 630, 8201, 476, 273, 297, 1070, 543, 476, 2767, 260, 941, 9286, 538, 519, 4791, 7121, 585, 2698, 8965, 2042, 630, 8201, 476, 273, 298, 1916, 8201, 476, 273, 269, 18948, 1063, 8060, 543, 2043, 609, 20284, 609, 4791, 630, 629, 7538, 264, 610, 8473, 1467, 2418, 538, 519, 8464, 585, 8965, 2042, 269, 20587, 720, 630, 8472, 540, 5396, 609, 4791, 610, 8473, 1467, 8464, 538, 1142, 4336, 540, 2623, 1336, 538, 519, 4132, 10263, 6744, 5903, 630, 290, 6195, 299, 264, 538, 519, 1852, 543, 20284, 2516, 269, 769, 630, 288, 1070, 14221, 7933, 788, 5962, 282, 769, 630, 289, 1070, 32585, 282, 769, 630, 290, 1070, 30717, 20286, 282, 769, 630, 291, 1070, 1514, 2042, 282, 769, 630, 292, 1070, 2219, 2042, 282, 769, 630, 293, 1070, 3007, 2042, 282, 769, 630, 294, 1070, 32592, 550, 2623, 282, 769, 630, 295, 1070, 10728, 2623, 282, 769, 630, 296, 1070, 4835, 1944, 2042, 269, 715, 815, 476, 6321, 538, 519, 1852, 1895, 543, 476, 3393, 538, 519, 20284, 1895, 282, 769, 630, 297, 1070, 5007, 1944, 2042, 282, 543, 538, 630, 298, 1070, 2698, 2623, 2042, 563, 2690, 519, 824, 6688, 540, 519, 595, 6195, 299, 8760, 267, 519, 6871, 540, 5396, 945, 6913, 513, 8473, 1467, 7121, 3769, 281, 585, 14221, 7933, 788, 5962, 2042, 267, 476, 2767, 260, 540, 519, 20284, 1895, 543, 476, 271, 260, 540, 519, 1852, 1895, 630, 8201, 476, 273, 288, 5148, 585, 15639, 2042, 267, 476, 1626, 260, 540, 519, 20284, 1895, 543, 476, 271, 260, 540, 519, 1852, 1895, 630, 8201, 476, 273, 289, 5148, 585, 30717, 20286, 267, 476, 274, 260, 540, 519, 20284, 1895, 543, 476, 1704, 260, 540, 519, 1852, 1895, 630, 8201, 476, 273, 290, 5148, 585, 1514, 2042, 267, 476, 1626, 260, 540, 519, 20284, 1895, 543, 476, 276, 260, 540, 519, 1852, 1895, 630, 8201, 476, 273, 291, 5148, 585, 2219, 2042, 267, 476, 276, 260, 540, 519, 20284, 1895, 543, 476, 271, 260, 540, 519, 1852, 1895, 630, 8201, 476, 273, 292, 5148, 585, 3007, 2042, 267, 476, 2420, 260, 540, 519, 20284, 1895, 543, 476, 1556, 260, 540, 519, 1852, 1895, 630, 8201, 476, 273, 293, 5148, 585, 32592, 550, 2623, 267, 476, 274, 260, 540, 519, 20284, 1895, 543, 476, 271, 260, 540, 519, 1852, 1895, 630, 8201, 476, 273, 294, 5148, 543, 585, 10728, 2623, 267, 476, 2420, 260, 540, 519, 20284, 1895, 543, 476, 1556, 260, 540, 519, 1852, 1895, 630, 8201, 476, 273, 295, 1040, 1879, 519, 6688, 941, 19882, 267, 476, 279, 260, 540, 519, 20284, 1895, 543, 476, 1626, 260, 540, 519, 1852, 1895, 941, 9286, 607, 8473, 1467, 585, 4835, 1944, 2042, 630, 8201, 476, 273, 296, 1070, 476, 1626, 260, 540, 519, 20284, 1895, 543, 476, 271, 260, 540, 519, 1852, 1895, 941, 9286, 607, 8473, 1467, 585, 5007, 1944, 2042, 630, 8201, 476, 273, 297, 1070, 543, 476, 1724, 260, 540, 519, 20284, 543, 476, 271, 260, 540, 519, 1852, 1895, 941, 9286, 607, 8473, 1467, 585, 2698, 8965, 2042, 630, 8201, 476, 273, 298, 1916, 1103, 519, 2079, 540, 21374, 1063, 782, 519, 2164, 540, 519, 590, 9169, 290, 543, 519, 595, 6195, 299, 267, 649, 1336, 513, 9756, 1063, 21096, 543, 2219, 2042, 630, 335, 815, 476, 271, 269, 6860, 267, 678, 815, 476, 271, 269, 5655, 282, 7612, 476, 274, 288, 1070, 1063, 23370, 543, 2219, 2042, 630, 335, 815, 476, 271, 269, 6349, 267, 678, 815, 476, 271, 269, 3393, 282, 7612, 476, 274, 289, 264, 543, 1063, 23370, 543, 2698, 8965, 2042, 630, 335, 815, 476, 271, 269, 6860, 267, 678, 815, 476, 271, 269, 6078, 282, 7612, 476, 274, 290, 264, 538, 519, 20284, 1895, 269, 4935, 267, 519, 9756, 2079, 4951, 602, 2362, 21096, 8464, 5330, 539, 547, 811, 4049, 18063, 540, 2219, 269, 769, 1840, 267, 2362, 23370, 8464, 5330, 539, 547, 811, 4049, 2219, 543, 2698, 8965, 2042, 538, 519, 20284, 1895, 269, 3143, 9756, 1063, 8464, 540, 782, 1866, 6724, 540, 3207, 543, 2623, 729, 1336, 538, 519, 2789, 16198, 563, 8201, 476, 274, 269, 4856, 21975, 1063, 519, 8464, 593, 519, 5940, 7875, 766, 17361, 585, 5753, 630, 306, 9169, 290, 264, 543, 519, 4132, 10263, 6744, 5903, 630, 290, 6195, 299, 264, 538, 519, 20284, 1895, 269, 769, 630, 288, 264, 9756, 1063, 4713, 540, 26901, 531, 1765, 6395, 11652, 2219, 2042, 538, 519, 20284, 1895, 630, 335, 2999, 476, 271, 269, 4962, 282, 678, 815, 476, 271, 269, 5655, 5148, 769, 630, 289, 264, 9756, 1063, 4713, 540, 7050, 1474, 333, 565, 775, 1765, 291, 2464, 11652, 2219, 2042, 538, 519, 20284, 1895, 630, 335, 2999, 476, 271, 269, 4962, 282, 678, 815, 476, 271, 269, 3393, 5148, 769, 630, 290, 264, 9756, 1063, 4713, 540, 7050, 1474, 333, 565, 775, 1765, 291, 2464, 11652, 8965, 2042, 538, 519, 20284, 1895, 630, 335, 2999, 476, 271, 269, 4962, 282, 678, 815, 476, 271, 269, 6078, 1916, 763, 2164, 4951, 602, 476, 6795, 260, 540, 519, 20284, 1895, 1185, 10832, 540, 693, 2547, 540, 835, 1826, 540, 3207, 4524, 267, 799, 23216, 609, 519, 9860, 4080, 538, 519, 3332, 267, 799, 9193, 602, 476, 4510, 1700, 10695, 260, 540, 2043, 1995, 3207, 4713, 538, 713, 2551, 630, 23613, 23014, 267, 476, 1960, 280, 282, 654, 580, 7714, 543, 853, 2803, 267, 476, 1220, 275, 282, 9652, 1696, 620, 1421, 476, 1220, 280, 282, 6762, 23014, 543, 5576, 516, 1188, 267, 476, 1220, 280, 1040, 901, 1871, 729, 2362, 982, 602, 540, 519, 1852, 1895, 267, 538, 799, 1152, 476, 274, 269, 277, 260, 540, 519, 5171, 17820, 10832, 540, 3207, 18063, 269, 634, 9860, 540, 3207, 4713, 538, 519, 1852, 2551, 9775, 4922, 538, 519, 3332, 281, 1063, 476, 276, 543, 476, 2412, 260, 540, 3335, 3384, 2043, 1995, 3207, 4713, 630, 289, 14725, 328, 1696, 620, 1421, 476, 1960, 277, 282, 25909, 523, 14150, 543, 717, 584, 3120, 329, 267, 476, 1220, 280, 1916, 16449, 519, 3670, 9408, 2297, 540, 3207, 4713, 267, 782, 941, 1459, 538, 1114, 21159, 538, 519, 20284, 1895, 269, 634, 10832, 540, 590, 9720, 267, 14192, 5960, 267, 17335, 31813, 543, 15562, 941, 519, 1034, 11342, 538, 519, 20284, 1895, 269, 1452, 1239, 616, 538, 6876, 609, 519, 2418, 4080, 538, 519, 3332, 269, 769, 1840, 267, 7928, 20286, 540, 2879, 1681, 543, 27248, 24852, 543, 606, 2799, 4908, 543, 3476, 5712, 540, 27248, 32570, 902, 723, 1044, 4080, 630, 23613, 23014, 267, 476, 1960, 280, 282, 6762, 23014, 543, 5576, 516, 1188, 267, 476, 1220, 280, 282, 13177, 1696, 620, 1421, 476, 1001, 273, 1916, 15253, 1563, 609, 519, 1852, 1895, 267, 2362, 2418, 267, 593, 3328, 267, 941, 1336, 585, 7965, 538, 27510, 610, 4509, 3207, 267, 15562, 543, 2698, 3207, 2042, 538, 519, 20284, 1895, 269, 1280, 519, 824, 4713, 267, 519, 1895, 25939, 540, 519, 2418, 4951, 1100, 1713, 3604, 267, 7654, 1813, 547, 519, 26945, 9043, 540, 519, 1895, 540, 2043, 609, 20284, 945, 4951, 8795, 3207, 3270, 269, 6271, 1249, 602, 2115, 547, 581, 2808, 568, 519, 946, 540, 6646, 676, 519, 20284, 1895, 630, 6507, 22103, 10684, 5574, 585, 8965, 17465, 543, 4160, 267, 1851, 824, 4713, 267, 949, 2014, 2427, 2360, 971, 607, 6822, 566, 267, 546, 4900, 1465, 610, 20026, 630, 305, 27198, 267, 476, 1220, 273, 282, 16910, 5142, 1696, 620, 1421, 476, 1220, 279, 1070, 799, 666, 21372, 519, 5868, 540, 3207, 4713, 630, 300, 10730, 543, 12113, 686, 267, 476, 1001, 271, 1040, 1703, 568, 513, 7678, 585, 3335, 3384, 1453, 547, 7753, 3207, 2042, 936, 519, 1576, 540, 10172, 269, 769, 519, 1459, 1353, 267, 713, 3390, 729, 711, 11117, 267, 855, 621, 814, 1044, 7152, 602, 2043, 609, 20284, 3100, 1447, 2693, 547, 7753, 3207, 2042, 936, 942, 630, 295, 17690, 1696, 620, 1421, 476, 1001, 275, 1916, 763, 8965, 12632, 540, 519, 2043, 609, 20284, 941, 6353, 676, 8965, 2042, 971, 607, 1514, 4160, 543, 4965, 282, 15639, 282, 543, 30717, 267, 2219, 267, 3007, 267, 32592, 1890, 267, 14699, 267, 4835, 1944, 267, 5007, 1944, 267, 543, 2698, 8965, 2042, 267, 799, 30599, 4011, 919, 3105, 1239, 630, 298, 984, 599, 20076, 543, 12653, 1092, 267, 476, 1960, 279, 282, 645, 7238, 331, 974, 1696, 620, 1421, 476, 1960, 280, 282, 6742, 324, 2280, 1729, 1696, 620, 1421, 476, 1001, 272, 264, 543, 519, 4162, 602, 519, 32663, 966, 6799, 585, 20284, 269, 769, 519, 1852, 1895, 267, 609, 519, 9868, 540, 4160, 4713, 543, 4965, 543, 5007, 1944, 2042, 267, 782, 540, 519, 824, 8965, 2042, 941, 2901, 1336, 693, 513, 2539, 2557, 3379, 609, 519, 20284, 1895, 610, 941, 15534, 563, 8802, 8973, 519, 2009, 3347, 1063, 2623, 543, 3207, 18063, 267, 607, 7152, 538, 1453, 1510, 11095, 2042, 630, 25508, 822, 517, 523, 1696, 620, 1421, 476, 1220, 280, 1070, 9756, 4255, 4951, 602, 3207, 4713, 941, 17047, 609, 8965, 2042, 538, 519, 20284, 1895, 538, 519, 1459, 1353, 269, 898, 729, 4397, 602, 519, 4527, 540, 891, 4713, 1223, 11874, 3310, 17271, 20284, 4162, 267, 2523, 609, 2543, 547, 17133, 543, 2623, 630, 14976, 807, 1696, 620, 1421, 476, 1220, 271, 282, 13177, 1696, 620, 1421, 476, 1001, 273, 282, 5576, 16049, 1084, 6199, 1696, 620, 1421, 476, 1001, 274, 1040, 634, 2164, 4951, 602, 606, 26901, 531, 4524, 543, 7050, 24817, 3207, 1465, 941, 519, 1079, 4713, 602, 941, 17047, 609, 8965, 2042, 538, 519, 20284, 1895, 563, 763, 4466, 540, 513, 9756, 1063, 3207, 18063, 543, 2623, 538, 2043, 609, 20284, 538, 713, 1353, 568, 16861, 543, 1281, 711, 3313, 1757, 1275, 267, 855, 972, 568, 2963, 602, 5355, 3207, 2298, 9797, 7506, 8965, 8658, 630, 309, 5987, 1696, 620, 1421, 476, 1001, 272, 1040, 769, 519, 7664, 540, 891, 2164, 568, 2556, 547, 2015, 602, 891, 21374, 941, 5340, 538, 513, 2582, 1449, 543, 616, 711, 22621, 585, 2789, 16198, 269, 898, 568, 2556, 547, 2015, 519, 7687, 540, 891, 9382, 269, 4329, 2090, 609, 513, 3677, 1297, 540, 2043, 609, 20284, 543, 602, 6218, 2623, 1354, 543, 1310, 2126, 547, 2087, 3207, 3270, 616, 1869, 2877, 547, 12172, 713, 9756, 543, 786, 581, 519, 1985, 1900, 540, 713, 1353, 563, 763, 2551, 609, 20284, 4951, 513, 1164, 2557, 540, 3207, 4713, 267, 519, 1034, 7928, 10832, 3769, 1346, 540, 7929, 4713, 267, 4713, 1644, 547, 519, 12614, 543, 5826, 540, 3207, 267, 5409, 5139, 15727, 543, 4713, 7133, 519, 5912, 689, 12687, 6888, 547, 3207, 269, 769, 1840, 267, 519, 2043, 609, 20284, 4951, 26901, 531, 4713, 543, 7050, 24817, 3207, 1465, 811, 1419, 982, 519, 1852, 5396, 563, 763, 2043, 609, 20284, 4951, 782, 540, 519, 8965, 2042, 6700, 538, 519, 595, 6195, 299, 1449, 267, 543, 811, 4749, 4951, 2219, 543, 3007, 2042, 607, 1134, 607, 15639, 269, 22702, 609, 519, 1852, 1895, 267, 519, 20284, 1895, 4951, 513, 2362, 6871, 540, 8965, 2042, 267, 4849, 585, 2042, 540, 4160, 543, 4965, 543, 5007, 1944, 2042, 563, 295, 27941, 3207, 4524, 8464, 17047, 609, 8965, 2042, 538, 1312, 2516, 269, 13018, 538, 519, 20284, 1895, 267, 2362, 8464, 585, 21096, 543, 7050, 24817, 3207, 1465, 941, 1644, 609, 8338, 2219, 543, 2698, 8965, 2042, 563, 18183, 12787, 540, 9314, 15048, 454, 763, 4589, 17551, 602, 519, 1382, 729, 5342, 538, 519, 9000, 540, 1022, 5010, 610, 2883, 3347, 602, 1223, 581, 1526, 29471, 607, 513, 1761, 4655, 540, 1719, 563, 1607, 960, 729, 6462, 676, 14828, 689, 519, 8750, 320, 23843, 632, 2549, 1706, 334, 20221, 623, 525, 638, 13453, 798, 6480, 5964, 632, 590, 14244, 6754, 334, 630, 293, 4338, 2464, 303, 282, 476, 1556, 270, 276, 1691, 4817, 268, 275, 1040, 595, 842, 807, 595, 269, 674, 611, 7236, 729, 6462, 676, 513, 31776, 689, 674, 4338, 2464, 303, 630, 293, 4338, 2464, 303, 282, 476, 1001, 272, 270, 14991, 1724, 268, 278, 1916, 10112, 665, 807, 23843, 5696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4087, 540, 1560, 8219, 267, 1949, 267, 607, 1134, 607, 1560, 5322, 269, 6445, 538, 519, 7508, 1913, 547, 1118, 519, 8574, 2953, 1210, 1913, 689, 519, 2262, 4871, 3177, 563, 10915, 2397, 267, 2427, 267, 1796, 267, 1560, 267, 7916, 267, 3946, 267, 26715, 267, 2978, 269, 26715, 16166, 267, 7158, 267, 14742, 267, 543, 6810, 543, 811, 269, 6859, 4766, 519, 26715, 2990, 8231, 958, 610, 676, 11744, 621, 6542, 2702, 547, 946, 26715, 2474, 10503, 1560, 21056, 267, 8846, 267, 14742, 267, 543, 7252, 269, 0, 303, 9545, 6767, 642, 6403, 339, 384, 505, 345, 6403, 1315, 623, 9545, 6767, 642, 6403, 385, 354, 1794, 6403, 454, 298, 1372, 2531, 990, 544, 385, 363, 329, 3040, 24385, 570, 520, 709, 1094, 1025, 383, 377, 338, 6390, 454, 8489, 568, 1250, 1753, 286, 8752, 940, 936, 519, 570, 520, 6652, 454, 27242, 1475, 3707, 272, 1700, 3707, 277, 1475, 313, 6577, 384, 505, 330, 674, 1512, 1782, 518, 630, 14140, 10245, 27242, 1475, 3707, 277, 1700, 3707, 279, 1475, 305, 644, 6504, 7137, 534, 630, 18431, 10245, 27242, 1475, 5715, 11163, 10294, 1475, 2764, 5239, 476, 3707, 272, 2008, 27242, 1475, 17746, 3191, 7550, 1475, 3066, 5988, 476, 3707, 274, 2008, 27242, 1475, 13233, 626, 23069, 540, 1379, 1475, 1839, 5988, 476, 3707, 279, 2008, 763, 1101, 16231, 657, 21754, 752, 6243, 630, 290, 14864, 1315, 30355, 752, 281, 17487, 490, 525, 330, 657, 21754, 839, 330, 5451, 1065, 28362, 11986, 264, 729, 519, 16231, 657, 21754, 752, 1533, 602, 11478, 689, 476, 3707, 272, 1729, 476, 3707, 279, 269, 634, 1533, 729, 4122, 1572, 16231, 657, 21754, 25474, 630, 384, 490, 525, 330, 657, 21754, 839, 14150, 1040, 16231, 657, 21754, 25474, 7153, 607, 513, 19988, 1533, 729, 711, 1152, 519, 1267, 540, 519, 4507, 540, 519, 4619, 16124, 3864, 7060, 267, 5125, 267, 7977, 543, 519, 2136, 8003, 267, 855, 849, 606, 16315, 540, 519, 4222, 540, 519, 16231, 657, 21754, 752, 4998, 22993, 538, 519, 16231, 657, 21754, 752, 2817, 7027, 269, 1717, 267, 693, 519, 3932, 540, 519, 3864, 2782, 267, 16231, 657, 21754, 25474, 8593, 1369, 519, 4436, 12106, 540, 3310, 267, 543, 713, 25896, 13856, 1022, 4566, 610, 2994, 585, 2022, 8705, 16646, 269, 9182, 267, 519, 2797, 543, 2804, 13539, 540, 16231, 657, 21754, 25474, 2968, 7361, 513, 2339, 540, 16395, 1063, 3798, 10542, 645, 2940, 20795, 543, 519, 1585, 1318, 26310, 2516, 540, 519, 2197, 563, 1103, 5988, 476, 3707, 279, 267, 519, 2817, 26844, 25868, 2407, 1379, 538, 513, 19420, 546, 262, 18863, 520, 269, 4014, 519, 2197, 781, 4013, 2012, 7283, 519, 16231, 657, 21754, 752, 6243, 2394, 476, 3422, 271, 267, 950, 621, 729, 4957, 547, 519, 16231, 657, 21754, 752, 2817, 6243, 267, 5988, 476, 3707, 279, 568, 2808, 519, 1439, 540, 519, 3689, 6243, 563, 14532, 314, 539, 527, 1923, 12575, 2707, 2639, 293, 15929, 314, 539, 527, 1923, 12575, 2707, 2639, 763, 5072, 540, 16231, 18541, 979, 1394, 547, 519, 476, 866, 628, 2540, 267, 950, 15599, 5505, 543, 7855, 267, 6766, 676, 21434, 1143, 267, 15469, 519, 16231, 1893, 543, 11348, 538, 519, 16231, 1004, 269, 2817, 1143, 2968, 513, 2527, 3350, 538, 519, 2063, 3368, 540, 519, 476, 866, 628, 2540, 269, 14171, 5413, 540, 519, 3255, 585, 3908, 7589, 538, 2797, 1272, 2139, 896, 519, 22341, 4341, 267, 16231, 3401, 971, 607, 14787, 2605, 21468, 20795, 2131, 6022, 871, 383, 377, 630, 9692, 279, 1700, 6942, 277, 264, 8547, 1082, 13348, 5328, 267, 1582, 25298, 3906, 799, 3177, 513, 4960, 585, 1082, 540, 741, 10284, 686, 1824, 547, 7119, 538, 18497, 1272, 1991, 547, 7115, 269, 6022, 871, 383, 377, 6462, 3243, 4592, 15442, 1143, 543, 5249, 585, 513, 556, 23457, 543, 5313, 1125, 519, 22341, 7276, 267, 799, 1131, 2149, 519, 23577, 545, 6340, 9082, 540, 6239, 2342, 1996, 6739, 543, 4436, 6937, 563, 2304, 12167, 540, 11180, 6963, 543, 16231, 13190, 1369, 15212, 6953, 2426, 776, 267, 8751, 5451, 20795, 717, 1551, 8982, 16549, 776, 330, 729, 11221, 7466, 547, 25415, 338, 7806, 630, 288, 755, 6929, 12057, 1070, 519, 1101, 942, 1373, 689, 476, 6245, 272, 547, 476, 6245, 274, 538, 519, 8479, 16231, 9549, 543, 1586, 689, 476, 5002, 278, 547, 476, 4489, 275, 538, 519, 16231, 7464, 626, 9549, 267, 799, 646, 8547, 538, 476, 6642, 280, 609, 918, 28328, 918, 1090, 5451, 385, 503, 543, 8277, 325, 18087, 714, 331, 563, 7628, 519, 2622, 2782, 1507, 2338, 540, 16231, 338, 267, 519, 16231, 657, 21754, 752, 6181, 687, 267, 10692, 609, 519, 27469, 538, 5333, 543, 7977, 267, 1247, 1804, 2338, 9390, 539, 547, 6576, 538, 5385, 585, 922, 1489, 585, 519, 7115, 540, 16231, 657, 21754, 25474, 689, 519, 22341, 7276, 269, 2060, 519, 12176, 540, 519, 2622, 2782, 267, 16549, 776, 330, 3459, 2324, 585, 16231, 7115, 538, 513, 9769, 609, 30355, 25474, 269, 2060, 3798, 10542, 645, 2940, 20795, 543, 30912, 681, 770, 529, 15442, 15662, 510, 974, 325, 17505, 1731, 267, 16549, 776, 330, 10272, 1896, 5375, 2477, 543, 4465, 1489, 689, 9565, 1857, 1235, 563, 22517, 1335, 807, 543, 5651, 822, 807, 267, 896, 22341, 4341, 267, 941, 16231, 18702, 4853, 7740, 267, 1247, 30355, 25474, 267, 799, 729, 851, 540, 21640, 267, 729, 606, 3768, 324, 975, 539, 989, 337, 4115, 3148, 269, 17148, 941, 1454, 1732, 585, 519, 1646, 540, 513, 2527, 3084, 3350, 538, 519, 16231, 3338, 982, 538, 30355, 25474, 269, 634, 4611, 14710, 540, 519, 27469, 543, 13190, 11292, 547, 3084, 18441, 3541, 9229, 8942, 540, 7115, 585, 519, 942, 1373, 269, 769, 24815, 16549, 776, 330, 3964, 519, 16231, 657, 21754, 752, 2817, 7027, 538, 8303, 563, 763, 7115, 540, 16231, 657, 21754, 25474, 729, 29064, 593, 476, 2764, 5239, 476, 3707, 272, 267, 676, 519, 16231, 657, 21754, 752, 2817, 7027, 538, 26285, 826, 269, 11153, 6803, 2516, 543, 11182, 609, 1114, 3140, 267, 2797, 267, 543, 2804, 5389, 1185, 547, 581, 20762, 883, 513, 1007, 1533, 2497, 269, 634, 2407, 6302, 540, 519, 2197, 609, 519, 15521, 540, 853, 269, 2885, 664, 538, 476, 3707, 278, 607, 1134, 607, 519, 3919, 540, 922, 2229, 729, 6368, 3964, 538, 519, 16231, 657, 21754, 752, 9139, 540, 476, 3707, 274, 269, 3798, 10542, 645, 2940, 20795, 1185, 1044, 6444, 676, 3401, 540, 2342, 607, 519, 6205, 540, 519, 3038, 29850, 16231, 657, 21754, 752, 6554, 267, 543, 538, 476, 3707, 274, 646, 729, 11221, 519, 2197, 781, 1101, 7022, 563, 1103, 519, 2904, 476, 3707, 277, 9550, 267, 519, 19301, 297, 4465, 538, 519, 16231, 851, 540, 519, 2197, 630, 2412, 269, 1704, 15992, 1247, 519, 4550, 6363, 2444, 626, 14891, 9549, 4465, 538, 30355, 25474, 630, 7830, 22103, 769, 2040, 267, 2705, 267, 519, 19301, 297, 4465, 513, 32469, 540, 476, 4343, 2600, 540, 519, 8917, 693, 519, 16231, 657, 21754, 752, 1377, 269, 645, 2940, 20795, 4797, 607, 7022, 540, 519, 14081, 267, 543, 3967, 16549, 776, 330, 267, 5067, 540, 8751, 5451, 20795, 16549, 776, 330, 267, 4797, 607, 4914, 14012, 269, 23052, 6504, 7137, 534, 2968, 6305, 14012, 269, 4107, 1271, 267, 4352, 519, 3084, 1235, 4371, 1152, 513, 12102, 540, 2823, 31987, 267, 789, 941, 2111, 547, 2744, 1852, 936, 971, 1883, 1295, 31559, 607, 1344, 267, 4835, 4123, 267, 8804, 543, 9703, 630, 10175, 519, 7128, 17102, 1040, 3414, 891, 1295, 31559, 267, 519, 3084, 1235, 941, 2111, 547, 16401, 741, 11685, 267, 1747, 5428, 2818, 538, 7158, 540, 1379, 267, 543, 1711, 513, 4396, 4493, 585, 513, 1491, 1478, 3801, 563, 307, 5014, 1628, 314, 539, 527, 1923, 12575, 2707, 2639, 763, 1032, 602, 4553, 729, 11552, 1203, 995, 269, 634, 19301, 297, 4797, 547, 605, 8010, 922, 3084, 543, 11180, 10066, 269, 634, 7432, 1448, 3357, 538, 519, 4832, 540, 476, 3707, 278, 269, 769, 5147, 267, 519, 16231, 657, 21754, 752, 2229, 267, 609, 19301, 297, 13170, 267, 7608, 606, 17454, 12677, 27592, 547, 7390, 16861, 5717, 540, 519, 21244, 4643, 269, 634, 16586, 15527, 5612, 547, 519, 16231, 657, 21754, 752, 1847, 547, 3136, 4283, 513, 5375, 19710, 281, 13609, 2040, 3000, 539, 7137, 534, 547, 12670, 563, 26796, 1010, 2132, 547, 26285, 826, 267, 519, 19301, 297, 20328, 922, 3375, 269, 769, 7766, 3275, 267, 519, 5428, 7152, 513, 1713, 9097, 5314, 540, 922, 12485, 269, 634, 19301, 297, 11130, 602, 513, 5114, 776, 19420, 729, 31873, 267, 543, 602, 7525, 2962, 729, 2556, 547, 2061, 621, 269, 3414, 2923, 543, 7128, 1797, 267, 789, 14556, 1881, 741, 2534, 269, 20323, 9307, 676, 7137, 534, 693, 519, 19301, 297, 5428, 5870, 538, 5437, 476, 3707, 278, 267, 3377, 540, 519, 834, 516, 9146, 776, 4729, 257, 729, 22412, 730, 2429, 519, 2197, 676, 519, 28929, 2046, 269, 634, 9549, 849, 26948, 3294, 519, 22085, 563, 17484, 540, 9111, 314, 539, 527, 1923, 12575, 2707, 2639, 1103, 5130, 476, 3707, 279, 267, 519, 28929, 22306, 12080, 540, 25181, 8399, 539, 547, 1625, 613, 519, 16231, 657, 21754, 752, 3354, 4229, 269, 589, 22277, 6433, 10511, 18469, 519, 5988, 19420, 269, 7982, 539, 676, 782, 11180, 6105, 267, 519, 2817, 4317, 26110, 1767, 602, 519, 3084, 1235, 941, 1210, 519, 12080, 540, 25181, 781, 7128, 543, 3354, 4229, 547, 16401, 1875, 5991, 1049, 1235, 267, 543, 18796, 513, 26699, 547, 713, 269, 11788, 10579, 7137, 534, 267, 2705, 267, 14578, 4104, 6817, 4901, 540, 519, 7128, 3390, 269, 2201, 476, 736, 5988, 267, 2817, 4317, 1235, 759, 11220, 689, 519, 22277, 538, 13889, 563, 763, 12964, 1875, 10919, 626, 26110, 759, 11220, 267, 538, 851, 267, 547, 16578, 645, 2940, 20795, 547, 1289, 585, 2038, 12836, 269, 2817, 626, 9271, 941, 17191, 19962, 547, 2442, 7106, 549, 1998, 540, 2487, 22085, 12485, 269, 589, 5130, 3542, 8612, 513, 476, 1015, 12656, 1417, 7771, 538, 2817, 626, 21146, 1489, 269, 8616, 519, 16231, 657, 21754, 752, 2817, 4317, 1235, 1500, 741, 1847, 1510, 7850, 11558, 609, 645, 2940, 20795, 269, 634, 11180, 6105, 267, 538, 1840, 267, 1500, 1100, 4674, 547, 28487, 2442, 1489, 563, 763, 1875, 5991, 1049, 1235, 5156, 602, 645, 2940, 20795, 1131, 20549, 547, 3398, 741, 29997, 725, 543, 1832, 873, 538, 513, 1416, 339, 6033, 2229, 267, 799, 1131, 27229, 3196, 7137, 534, 547, 2901, 1394, 1524, 610, 29997, 269, 645, 2940, 20795, 7620, 15189, 547, 3398, 519, 29997, 725, 543, 10294, 602, 1100, 2229, 1223, 581, 4646, 1510, 1875, 9539, 1049, 626, 26110, 269, 1717, 267, 538, 519, 2395, 602, 4553, 267, 646, 695, 684, 2740, 519, 1875, 9539, 1049, 626, 26110, 547, 2057, 25197, 566, 540, 2458, 4288, 269, 634, 16231, 657, 21754, 752, 8136, 7283, 9243, 563, 1103, 519, 29291, 267, 519, 22085, 21959, 1229, 922, 4229, 269, 634, 28929, 22306, 12080, 540, 25181, 18611, 7128, 1036, 9323, 547, 6213, 2127, 543, 9280, 513, 17740, 807, 269, 634, 28929, 22306, 12080, 540, 6176, 15189, 31076, 942, 547, 1875, 20139, 626, 8387, 269, 3687, 31559, 4371, 676, 1875, 20139, 626, 6105, 941, 17956, 676, 28929, 834, 9146, 26639, 1701, 634, 2962, 26639, 849, 1625, 3022, 782, 22257, 543, 2797, 5428, 8219, 540, 31877, 2609, 269, 7137, 534, 12219, 547, 1289, 513, 2489, 10880, 8259, 645, 2940, 20795, 12912, 513, 1007, 267, 2817, 626, 26730, 3990, 2229, 563, 4002, 476, 1839, 5988, 267, 645, 2940, 20795, 267, 5310, 4250, 532, 3540, 2112, 543, 5924, 4436, 6304, 267, 1698, 527, 4327, 269, 1261, 7608, 519, 29997, 725, 540, 519, 4744, 1211, 26110, 543, 12912, 513, 1007, 22277, 689, 513, 1592, 11643, 676, 7137, 534, 269, 634, 1007, 22277, 729, 13856, 676, 2817, 1235, 543, 605, 8566, 9007, 2818, 540, 519, 4658, 781, 9549, 269, 16840, 540, 519, 2817, 31012, 543, 30355, 752, 14891, 6105, 941, 849, 3769, 267, 865, 519, 2229, 729, 1869, 9930, 3373, 513, 22687, 269, 1717, 267, 519, 26110, 1210, 1346, 10297, 941, 8284, 2951, 6840, 2324, 1688, 538, 1350, 913, 609, 519, 2817, 1235, 269, 901, 957, 6825, 519, 12614, 540, 856, 7146, 13050, 28974, 4341, 538, 16231, 657, 21754, 25474, 269, 0, 300, 11189, 1315, 1715, 9799, 7726, 1948, 276, 454, 763, 12016, 568, 8600, 585, 11166, 585, 1007, 3237, 1739, 519, 4332, 540, 741, 1101, 10867, 269, 634, 3237, 2307, 875, 547, 4383, 897, 545, 269, 6904, 1058, 519, 12016, 2303, 286, 8564, 782, 602, 4019, 563, 268, 9255, 519, 10867, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17747, 19106, 786, 711, 3432, 909, 1169, 1966, 269, 1703, 616, 1880, 2042, 585, 799, 621, 3947, 606, 5413, 269, 1924, 519, 1966, 814, 547, 723, 519, 1318, 2497, 269, 1656, 513, 2603, 540, 519, 1382, 538, 7061, 7384, 568, 547, 1265, 856, 799, 2042, 723, 519, 1318, 2497, 865, 649, 666, 2263, 873, 547, 2285, 1732, 7061, 3435, 563, 1432, 9922, 786, 723, 519, 1101, 610, 1034, 7525, 1764, 540, 7061, 7384, 888, 1607, 4422, 1394, 547, 519, 5075, 540, 9400, 3171, 2106, 2006, 689, 476, 2412, 1296, 3516, 267, 1141, 646, 1767, 267, 834, 16100, 267, 1577, 781, 2965, 1628, 713, 7061, 2780, 585, 4986, 3116, 982, 1175, 1138, 6819, 1360, 7294, 7061, 7344, 1949, 4799, 296, 4312, 2938, 6080, 1141, 519, 4420, 331, 2940, 1188, 547, 1818, 3356, 568, 547, 18082, 1360, 1804, 7061, 7344, 1949, 269, 1280, 1383, 267, 649, 917, 538, 31534, 649, 1616, 547, 1174, 519, 7061, 2497, 540, 6675, 547, 1118, 1007, 5061, 269, 1809, 621, 781, 1360, 2653, 547, 1205, 7294, 6675, 1496, 7474, 616, 316, 856, 540, 3914, 585, 519, 5904, 602, 649, 723, 2221, 563, 1103, 1570, 2257, 585, 1004, 945, 616, 3168, 693, 9075, 267, 585, 1383, 267, 649, 723, 547, 2203, 875, 891, 9075, 960, 593, 513, 7061, 1377, 267, 543, 621, 666, 1205, 1360, 7294, 267, 1360, 3533, 269, 1924, 621, 1131, 581, 513, 2603, 540, 681, 22936, 1382, 585, 3549, 602, 960, 538, 1648, 610, 538, 31534, 610, 538, 7998, 269, 594, 1589, 789, 1131, 1265, 7061, 19106, 1360, 3730, 563, 10190, 693, 930, 1448, 952, 596, 1185, 1256, 1732, 6191, 267, 5488, 6191, 267, 8273, 6191, 267, 596, 1522, 1439, 909, 538, 3156, 585, 11938, 2042, 585, 17825, 267, 9304, 267, 8804, 7868, 3390, 972, 568, 7061, 666, 2285, 606, 5413, 267, 855, 621, 568, 513, 1507, 5413, 982, 585, 891, 11191, 2042, 899, 31534, 610, 1570, 2257, 269, 1924, 596, 991, 513, 811, 10427, 3684, 547, 1205, 972, 563, 1432, 616, 930, 540, 519, 4420, 6352, 1815, 802, 1934, 286, 1548, 781, 7303, 721, 689, 2679, 713, 7061, 2780, 543, 11766, 532, 621, 585, 14453, 3549, 10876, 1369, 519, 1985, 1032, 888, 1103, 513, 7061, 7344, 1062, 267, 789, 616, 1360, 17866, 267, 7429, 519, 1949, 602, 649, 1995, 538, 938, 4948, 1272, 269, 1924, 972, 568, 513, 4341, 540, 7061, 11707, 602, 8164, 596, 979, 543, 1294, 875, 519, 1062, 568, 267, 596, 4312, 22841, 519, 1062, 563, 3383, 1018, 713, 1797, 568, 602, 782, 5686, 540, 1344, 899, 519, 6419, 2361, 540, 519, 1604, 610, 519, 2837, 540, 930, 5536, 538, 519, 1604, 782, 1860, 707, 7061, 1062, 267, 865, 621, 781, 1360, 2182, 547, 20586, 707, 7061, 1062, 689, 891, 17672, 2360, 540, 519, 1604, 269, 1656, 602, 781, 519, 4161, 540, 7061, 5904, 269, 1403, 596, 1810, 1405, 20586, 873, 267, 1287, 972, 568, 6846, 538, 938, 7061, 2780, 543, 713, 6846, 786, 27253, 938, 4238, 563, 4263, 519, 1482, 942, 649, 1616, 835, 844, 4226, 1496, 320, 1770, 540, 1344, 538, 7061, 5904, 316, 547, 2170, 1360, 9244, 609, 519, 824, 844, 4226, 547, 798, 519, 5106, 563, 3383, 596, 723, 1079, 20849, 4170, 269, 1411, 1616, 547, 4625, 20586, 707, 844, 23605, 538, 519, 7061, 2780, 689, 519, 1604, 267, 543, 602, 781, 1360, 2182, 585, 7061, 7344, 1949, 269, 1809, 693, 519, 1482, 942, 267, 596, 1616, 1496, 1492, 844, 23605, 316, 547, 7008, 1360, 9244, 269, 1924, 1818, 891, 1079, 1919, 4755, 693, 519, 1482, 942, 543, 693, 519, 4336, 602, 649, 991, 585, 513, 1804, 1297, 540, 844, 23605, 267, 649, 1589, 602, 781, 2009, 269, 1284, 1810, 1405, 1294, 1022, 4155, 23026, 267, 855, 621, 781, 1175, 602, 621, 568, 1360, 16529, 3621, 4702, 563, 8489, 786, 7061, 7384, 581, 538, 267, 1577, 781, 2161, 267, 476, 1015, 1296, 888, 296, 6415, 15691, 1369, 519, 1985, 8717, 610, 865, 267, 649, 1376, 3478, 547, 713, 3942, 540, 7061, 5904, 1141, 789, 1376, 18363, 2486, 538, 513, 6209, 1259, 269, 898, 781, 606, 16529, 3804, 267, 855, 594, 1589, 649, 616, 1134, 1790, 3789, 539, 269, 1924, 676, 519, 1439, 540, 519, 8717, 267, 649, 949, 1376, 2348, 7061, 6191, 602, 666, 4194, 2042, 540, 2486, 602, 3112, 581, 12193, 593, 938, 1699, 5904, 563, 1607, 5967, 814, 1044, 12995, 585, 9355, 543, 1786, 6143, 563, 268, 6424, 18307, 1188, 2986, 5131, 23044, 12833, 3949, 769, 2836, 27700, 3399, 5725, 910, 12297, 269, 6369, 20064, 268, 5131, 6503, 20764, 675, 674, 3305, 5487, 31708, 547, 7982, 2836, 27700, 3399, 5725, 910, 12297, 269, 6369, 20064, 268, 8835, 5680, 7896, 23800, 4934, 1137, 910, 12297, 269, 6369, 20064, 763, 2160, 540, 8828, 4993, 729, 1851, 513, 1895, 540, 9945, 13752, 513, 1269, 1428, 2929, 9886, 689, 519, 2817, 3163, 7690, 547, 1902, 538, 543, 17861, 622, 30596, 563, 763, 1007, 1982, 568, 1572, 22085, 293, 16743, 17620, 16735, 281, 4639, 16323, 269, 2475, 290, 267, 17459, 6369, 543, 17459, 23117, 728, 616, 1851, 519, 5171, 267, 2059, 609, 2836, 27700, 267, 519, 2160, 540, 12548, 645, 30629, 267, 519, 12548, 3427, 540, 631, 1149, 267, 2160, 540, 1715, 6792, 543, 519, 2160, 540, 18096, 269, 634, 1544, 568, 547, 1039, 811, 6280, 28930, 919, 607, 519, 1982, 10953, 563, 763, 12621, 786, 2697, 1761, 30596, 543, 1683, 29013, 267, 13464, 2200, 543, 22475, 547, 948, 1796, 719, 3549, 1020, 269, 3962, 6280, 786, 849, 6895, 960, 8345, 538, 13464, 22475, 602, 1522, 1291, 547, 519, 1985, 2462, 2754, 563, 4785, 290, 966, 3438, 6798, 3427, 540, 7177, 786, 1291, 519, 1982, 267, 11461, 676, 25760, 962, 2335, 529, 962, 2176, 657, 563, 257, 2467, 568, 513, 2462, 4763, 540, 519, 2551, 538, 519, 4639, 2437, 962, 2176, 657, 5143, 12297, 269, 6369, 267, 834, 663, 865, 602, 781, 1945, 602, 649, 849, 616, 2469, 547, 1445, 593, 269, 634, 2856, 568, 547, 849, 4497, 811, 543, 811, 824, 5238, 538, 713, 543, 1832, 2810, 519, 11640, 4799, 763, 1982, 786, 1413, 547, 1902, 538, 3744, 267, 8030, 543, 11639, 945, 616, 1004, 540, 2681, 610, 834, 5228, 519, 1082, 3309, 10080, 540, 519, 5375, 2136, 2276, 4799, 2005, 4465, 1405, 2047, 1902, 538, 30596, 269, 5502, 621, 786, 1413, 547, 1921, 23492, 3549, 547, 1761, 9520, 269, 834, 2171, 616, 4543, 1004, 1629, 22438, 1518, 519, 1184, 540, 5647, 2437, 962, 2176, 657, 3773, 563, 763, 2475, 290, 21445, 4639, 11076, 13398, 568, 835, 540, 2947, 602, 519, 22085, 293, 568, 10115, 538, 269, 3962, 786, 4309, 1269, 274, 2929, 1169, 1032, 585, 2947, 1296, 267, 20314, 550, 593, 3356, 19325, 267, 2864, 982, 835, 26686, 2040, 909, 12506, 563, 312, 2176, 657, 1767, 834, 1492, 8561, 568, 593, 7616, 2620, 2029, 2443, 676, 713, 594, 1611, 267, 2029, 602, 568, 711, 3274, 2870, 606, 813, 585, 1945, 267, 855, 3257, 1945, 602, 814, 4909, 6639, 1871, 602, 666, 1287, 9247, 2981, 519, 5251, 538, 1114, 2081, 267, 2436, 713, 568, 6915, 30261, 267, 8878, 267, 23825, 1496, 528, 316, 5841, 4987, 4799, 312, 2176, 657, 11329, 856, 602, 1896, 2462, 2029, 3549, 3323, 609, 1489, 689, 519, 2229, 610, 22085, 293, 7482, 267, 1519, 19120, 5570, 267, 799, 729, 2813, 676, 2475, 290, 7177, 3427, 4408, 820, 12448, 966, 3438, 6798, 563, 257, 309, 3438, 6798, 3323, 609, 513, 23492, 543, 713, 23492, 729, 14102, 676, 2817, 3163, 7690, 14828, 2437, 962, 2176, 657, 1767, 267, 834, 6533, 621, 2968, 1018, 568, 1634, 607, 19120, 5570, 4799, 257, 11386, 267, 538, 930, 2631, 267, 3357, 856, 540, 7214, 3959, 602, 729, 2919, 676, 1489, 1369, 18628, 2437, 962, 2176, 657, 3773, 563, 763, 594, 4211, 528, 1186, 16735, 4639, 786, 849, 2285, 922, 30596, 3255, 547, 1397, 1055, 741, 960, 543, 5480, 1761, 9520, 693, 2029, 1085, 719, 532, 20502, 543, 676, 16107, 922, 4540, 4296, 609, 5787, 2209, 543, 3084, 20682, 269, 3143, 3549, 723, 1044, 5697, 585, 713, 1032, 781, 1362, 2943, 282, 519, 1982, 5956, 538, 5130, 476, 1708, 273, 563, 763, 2817, 3163, 7690, 2813, 519, 594, 4211, 528, 1186, 538, 476, 1001, 272, 267, 543, 513, 8717, 2663, 568, 4946, 713, 6498, 547, 1445, 4481, 593, 6932, 30596, 538, 4639, 11076, 6990, 269, 634, 22085, 293, 5359, 602, 2094, 519, 1982, 781, 524, 3130, 267, 10199, 476, 272, 267, 18231, 12621, 543, 9945, 723, 5280, 10131, 936, 476, 272, 267, 1822, 30596, 1765, 543, 1346, 3549, 723, 8854, 593, 547, 6318, 811, 982, 1269, 31318, 2929, 538, 7616, 563, 17357, 14431, 281, 901, 1650, 729, 8242, 547, 12172, 602, 2475, 290, 729, 711, 519, 9886, 781, 6852, 18579, 563, 268, 1284, 6701, 5591, 24927, 1855, 2851, 6348, 6874, 3663, 5853, 619, 547, 12706, 590, 30962, 3399, 5725, 3267, 20064, 268, 8835, 1772, 8490, 513, 10724, 4804, 3194, 4741, 693, 2475, 290, 3267, 20064, 268, 2475, 290, 717, 1115, 8750, 338, 547, 8073, 513, 20260, 32274, 2561, 585, 4841, 910, 12297, 3267, 20064, 268, 11483, 7419, 781, 1715, 15306, 28941, 13667, 338, 547, 20780, 2859, 5824, 657, 20553, 15306, 910, 12297, 269, 6369, 20064, 268, 2475, 290, 267, 2836, 3557, 15829, 547, 32693, 1125, 12379, 334, 26410, 3203, 604, 9711, 910, 12297, 269, 6369, 20064, 268, 2475, 290, 7905, 779, 6092, 1772, 932, 9506, 4934, 3399, 1575, 5853, 619, 910, 12297, 269, 6369, 20064, 268, 11968, 13353, 685, 5440, 3399, 1575, 5549, 889, 2209, 543, 24665, 2209, 910, 12297, 269, 6369, 20064, 31415, 30750, 5700, 1411, 14568, 20537, 7102, 20764, 675, 13317, 626, 9166, 634, 4993, 595, 29266, 8750, 13667, 338, 547, 30205, 1924, 9773, 781, 9906, 5853, 619, 454, 31955, 3214, 723, 11058, 3481, 930, 540, 519, 7887, 2093, 2429, 10509, 1686, 267, 3006, 1354, 789, 1256, 9096, 1153, 269, 1809, 1053, 945, 5749, 1405, 607, 18822, 607, 4460, 2098, 27462, 6199, 610, 9291, 27176, 2356, 723, 547, 1394, 14315, 518, 2462, 2093, 547, 1445, 593, 15980, 513, 4110, 543, 3478, 513, 2816, 269, 8307, 1287, 666, 789, 4126, 602, 741, 2093, 786, 14693, 1294, 519, 1769, 540, 1554, 563, 30210, 595, 29266, 8750, 267, 513, 1007, 2875, 24507, 14679, 3854, 6109, 602, 14311, 7482, 2875, 30596, 1759, 538, 8828, 4993, 267, 6499, 547, 2709, 1762, 27428, 519, 4781, 547, 2490, 741, 2093, 883, 4641, 1247, 789, 2811, 1869, 538, 1153, 563, 17780, 538, 22728, 12379, 320, 267, 595, 29266, 267, 799, 4016, 547, 519, 9095, 540, 3506, 1225, 1324, 5045, 689, 17459, 13244, 22526, 547, 17459, 5842, 17630, 267, 568, 2196, 5097, 676, 3670, 2875, 610, 2487, 10927, 1071, 1922, 895, 619, 2443, 610, 834, 2006, 1645, 4891, 257, 2443, 543, 513, 3060, 540, 2875, 834, 684, 1751, 4891, 257, 538, 4702, 13463, 8283, 3506, 1519, 17459, 7054, 341, 710, 267, 2475, 290, 267, 17459, 6369, 267, 772, 5425, 291, 543, 519, 29366, 23992, 30793, 2471, 563, 17206, 4891, 1832, 606, 1274, 547, 519, 2666, 693, 741, 9757, 3506, 538, 13922, 540, 4466, 519, 1034, 9621, 23492, 2093, 267, 799, 789, 1287, 1780, 2059, 547, 519, 11570, 693, 595, 29266, 269, 15443, 573, 919, 945, 616, 16363, 17709, 4309, 513, 1269, 2412, 267, 1822, 2638, 269, 4595, 519, 5883, 4891, 3459, 2508, 24597, 538, 5412, 476, 1708, 271, 267, 789, 4312, 6659, 1269, 1220, 267, 1822, 540, 2571, 2275, 22511, 3854, 543, 3773, 835, 2754, 267, 700, 14709, 267, 547, 741, 14769, 269, 3767, 267, 789, 2811, 17935, 547, 6318, 513, 2698, 540, 1269, 272, 2929, 538, 519, 1985, 3670, 3275, 563, 21202, 2603, 540, 891, 2038, 22533, 14679, 10909, 616, 3843, 547, 1265, 519, 1655, 9388, 257, 998, 5787, 2209, 267, 4832, 3292, 543, 1085, 719, 5121, 267, 1767, 2776, 761, 590, 996, 267, 513, 1071, 1922, 10133, 945, 21783, 713, 1032, 689, 772, 5746, 609, 513, 4110, 538, 9297, 543, 1631, 1568, 607, 606, 12314, 1587, 9614, 693, 13022, 3700, 269, 834, 16352, 1053, 2047, 593, 13464, 32195, 602, 7934, 1701, 7767, 832, 3335, 6108, 693, 1034, 513, 1554, 610, 1079, 609, 23492, 27428, 267, 646, 2798, 856, 267, 855, 834, 1492, 2875, 4891, 593, 938, 3786, 4926, 723, 1634, 930, 540, 741, 9905, 585, 513, 1279, 942, 4799, 22923, 14679, 7482, 616, 4986, 1007, 269, 634, 2160, 540, 12309, 781, 26728, 591, 710, 20764, 675, 8750, 267, 519, 2197, 781, 1101, 2875, 24507, 966, 290, 2508, 267, 729, 8547, 538, 476, 1960, 278, 269, 4595, 1287, 267, 2516, 899, 2552, 9009, 13317, 267, 667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 968, 3033, 21299, 3002, 15450, 892, 610, 968, 613, 334, 1410, 4219, 1949, 892, 2443, 543, 4028, 6455, 540, 519, 1949, 538, 4516, 267, 3226, 14411, 269, 594, 3580, 17953, 936, 519, 3877, 1934, 267, 855, 9247, 6455, 2208, 540, 519, 1949, 538, 4516, 568, 538, 519, 2039, 540, 476, 3393, 547, 476, 4649, 829, 1298, 543, 2484, 856, 335, 2167, 2208, 538, 519, 2136, 2276, 269, 14411, 936, 519, 2250, 476, 1428, 3275, 814, 856, 335, 3166, 519, 1985, 14191, 11662, 267, 20563, 267, 676, 513, 14345, 540, 811, 982, 476, 275, 547, 476, 272, 538, 2474, 540, 10821, 1427, 19745, 1080, 269, 634, 2208, 814, 1044, 865, 3728, 602, 519, 7681, 8204, 519, 2872, 267, 519, 8225, 2983, 334, 2750, 4219, 29663, 267, 568, 9963, 6800, 827, 8038, 8386, 5991, 697, 25255, 945, 5749, 1406, 11727, 547, 3888, 519, 1949, 855, 1616, 547, 11878, 593, 519, 5951, 540, 3747, 563, 22818, 519, 1034, 4277, 8292, 3357, 689, 23745, 681, 527, 3832, 344, 267, 7022, 543, 16628, 540, 18518, 2861, 4826, 325, 1248, 864, 24997, 6052, 5549, 1421, 835, 540, 519, 1283, 23965, 540, 24232, 1949, 538, 3345, 3013, 269, 2755, 2949, 8907, 2208, 538, 519, 2754, 779, 2063, 10116, 568, 538, 519, 2039, 540, 476, 736, 829, 1298, 267, 6455, 547, 4516, 941, 909, 827, 476, 6344, 829, 1298, 3379, 547, 519, 3105, 1032, 269, 769, 14411, 2208, 729, 476, 1220, 829, 1298, 269, 681, 527, 3832, 344, 1767, 6455, 547, 4516, 723, 1044, 968, 335, 1156, 1580, 531, 2223, 543, 10305, 621, 547, 2178, 2229, 15314, 267, 2799, 4656, 540, 519, 2029, 267, 543, 606, 4346, 602, 814, 1044, 12936, 1447, 676, 519, 772, 2529, 269, 8027, 6433, 269, 2986, 1576, 267, 8375, 4492, 543, 5201, 5777, 568, 849, 6117, 6455, 2066, 519, 4604, 538, 782, 22875, 563, 2750, 322, 2224, 803, 585, 513, 4090, 1247, 594, 547, 582, 1250, 1378, 18057, 269, 3807, 4941, 547, 1448, 856, 602, 8225, 6355, 12139, 814, 3769, 713, 5816, 538, 922, 1592, 540, 968, 12749, 476, 1015, 892, 1655, 5680, 4609, 585, 5683, 9520, 269, 4340, 547, 519, 2376, 267, 676, 6241, 626, 32632, 5839, 291, 10735, 267, 11162, 16505, 568, 968, 1492, 29882, 5816, 540, 17842, 10060, 1648, 6241, 626, 14977, 2401, 16803, 593, 2048, 30036, 2738, 267, 4755, 902, 267, 543, 5647, 538, 519, 2973, 2029, 2344, 685, 543, 621, 2501, 609, 7899, 540, 6402, 547, 2973, 2029, 3549, 267, 2959, 543, 21075, 3034, 2005, 779, 606, 22632, 7498, 288, 7147, 2754, 267, 14271, 30669, 4139, 267, 814, 2097, 909, 609, 513, 1259, 547, 2490, 2067, 3154, 883, 17405, 543, 824, 5277, 10173, 602, 568, 1454, 14949, 543, 15777, 982, 3964, 3157, 267, 12077, 519, 674, 29531, 6874, 28979, 577, 14059, 1031, 2094, 13303, 5125, 10736, 5755, 543, 5755, 1532, 539, 15655, 883, 17088, 4492, 1394, 1282, 519, 5822, 2622, 2782, 563, 3086, 1946, 1131, 4896, 6460, 2067, 3154, 883, 17405, 286, 898, 779, 711, 602, 782, 2067, 3154, 1131, 10929, 713, 1184, 269, 634, 3077, 568, 2067, 3154, 602, 2164, 607, 513, 676, 28237, 540, 3282, 10868, 538, 6552, 6753, 269, 13813, 3549, 267, 811, 5059, 593, 3478, 693, 519, 3282, 267, 2356, 27506, 610, 5887, 2067, 3154, 602, 2501, 547, 519, 2627, 1317, 621, 779, 1932, 7199, 547, 1628, 513, 6131, 18180, 602, 1131, 2445, 621, 543, 6494, 621, 547, 2344, 269, 589, 2603, 540, 713, 3154, 568, 24906, 713, 1259, 269, 634, 2622, 7813, 9193, 827, 476, 5611, 5479, 12945, 7397, 1169, 1032, 568, 1166, 1563, 2443, 519, 5916, 2698, 3154, 4616, 540, 5333, 543, 5125, 269, 634, 2404, 8511, 3154, 5434, 616, 11999, 563, 5278, 267, 971, 607, 22680, 543, 26425, 267, 723, 18886, 593, 674, 29531, 6874, 28979, 577, 2371, 607, 513, 1447, 7199, 4244, 547, 2679, 513, 6131, 2067, 3154, 18180, 269, 634, 2371, 1131, 6460, 519, 2067, 3154, 883, 17405, 267, 17088, 610, 15191, 4492, 543, 3560, 621, 676, 14903, 4882, 1222, 267, 610, 6494, 621, 547, 2344, 3330, 4540, 3282, 27983, 269, 10251, 519, 1942, 540, 674, 29531, 6874, 28979, 577, 1869, 3788, 1932, 1164, 269, 14271, 30669, 4126, 547, 1689, 519, 3014, 267, 5356, 2371, 602, 723, 513, 3791, 519, 11640, 540, 513, 674, 29531, 6874, 28979, 577, 2030, 855, 609, 519, 1482, 3977, 269, 968, 3963, 946, 513, 521, 1578, 5069, 1067, 950, 596, 1152, 991, 513, 17200, 9495, 1767, 14271, 30669, 7022, 8751, 681, 6504, 324, 269, 12207, 3297, 519, 2754, 4137, 789, 666, 3132, 267, 593, 1507, 4336, 267, 513, 22902, 540, 17405, 689, 2067, 3154, 585, 827, 1269, 1839, 267, 3379, 547, 1269, 3374, 585, 513, 674, 29531, 6874, 28979, 577, 2030, 30364, 689, 11615, 540, 4336, 269, 1358, 849, 2161, 741, 2030, 568, 15777, 267, 6721, 9039, 540, 519, 2182, 14589, 525, 267, 6757, 676, 335, 20094, 543, 824, 968, 13062, 644, 892, 2404, 609, 674, 29531, 6874, 28979, 577, 563, 2690, 513, 2407, 1650, 593, 519, 14271, 30669, 2029, 2638, 856, 713, 2376, 538, 20037, 5303, 5623, 269, 594, 1810, 1406, 3335, 2328, 827, 1732, 2081, 547, 946, 8093, 10173, 267, 855, 538, 713, 2013, 952, 649, 666, 2322, 811, 2067, 3154, 547, 946, 2864, 982, 27506, 270, 1203, 621, 267, 543, 693, 519, 1482, 942, 771, 2897, 519, 946, 540, 3282, 267, 1287, 621, 779, 1945, 602, 1058, 581, 22002, 563, 303, 6680, 13937, 1299, 11272, 3213, 269, 9307, 513, 4308, 2221, 602, 786, 1294, 621, 6718, 476, 20862, 19251, 1177, 30476, 540, 3859, 1379, 4390, 689, 5440, 1794, 9891, 10787, 916, 20941, 267, 513, 13564, 10706, 540, 1970, 268, 4486, 6094, 1922, 559, 332, 23492, 8838, 328, 23530, 5549, 269, 540, 4993, 269, 6271, 4308, 267, 713, 835, 609, 6129, 20175, 29651, 1421, 3322, 519, 6718, 540, 476, 7742, 19251, 1177, 30476, 540, 3859, 4390, 269, 8625, 267, 519, 1079, 3859, 11396, 616, 4397, 547, 5838, 476, 272, 269, 4792, 5479, 4893, 578, 3430, 3620, 2293, 540, 7791, 1648, 12422, 547, 4993, 5201, 5561, 563, 2108, 4322, 19506, 11650, 5365, 519, 12625, 540, 10626, 8397, 14346, 3859, 1379, 602, 949, 581, 1942, 16327, 564, 1438, 609, 3859, 8143, 543, 2842, 1648, 2223, 1767, 623, 294, 261, 292, 8783, 5665, 11464, 10793, 3223, 523, 534, 563, 1607, 568, 513, 5458, 5818, 585, 8838, 328, 23530, 267, 799, 849, 4566, 547, 1628, 811, 982, 476, 1220, 19251, 1177, 30476, 540, 3859, 14346, 538, 14411, 547, 1491, 5413, 540, 519, 11662, 779, 476, 5655, 7266, 829, 4893, 578, 3430, 16923, 3049, 2987, 13545, 858, 269, 589, 476, 4335, 24448, 5663, 2030, 568, 1373, 3710, 538, 15762, 26963, 334, 547, 3761, 519, 13838, 267, 543, 1587, 689, 8838, 328, 23530, 779, 1101, 855, 4130, 2030, 538, 15917, 1189, 568, 2907, 1373, 25855, 547, 3785, 538, 7203, 11844, 267, 14411, 563, 18893, 328, 23530, 10324, 13030, 25535, 1211, 5845, 4825, 339, 3455, 267, 945, 568, 849, 513, 2754, 1071, 1922, 10133, 267, 1767, 538, 606, 5967, 713, 12784, 602, 519, 4308, 609, 623, 294, 261, 292, 568, 513, 2312, 1129, 602, 3859, 14346, 814, 1831, 606, 2804, 4781, 693, 10626, 4336, 269, 968, 17780, 593, 519, 1249, 649, 4465, 891, 11731, 998, 513, 8013, 536, 27570, 1184, 267, 519, 2344, 4667, 547, 5815, 713, 2223, 646, 1767, 269, 1261, 9327, 1406, 2161, 875, 1804, 8838, 328, 23530, 779, 1788, 18180, 814, 6738, 267, 855, 1767, 519, 2754, 568, 538, 3742, 16395, 563, 3080, 4277, 1448, 1500, 538, 519, 623, 294, 261, 292, 2046, 5305, 1058, 581, 12006, 267, 2705, 281, 968, 13828, 3785, 616, 20314, 550, 2390, 519, 10137, 540, 519, 5313, 5092, 3454, 5491, 585, 7791, 1648, 543, 3157, 547, 11880, 924, 6771, 2115, 3034, 21953, 1776, 12687, 5346, 1289, 585, 772, 2529, 269, 5313, 14761, 18069, 693, 519, 6467, 269, 0, 6124, 1977, 9208, 6426, 454, 3719, 1010, 6677, 889, 710, 5129, 519, 3771, 14309, 1996, 1864, 267, 543, 1352, 4682, 2476, 689, 1864, 547, 1200, 4651, 781, 2777, 538, 21861, 548, 1335, 538, 28311, 267, 543, 729, 972, 585, 513, 1974, 540, 2185, 3275, 563, 21914, 6276, 6426, 454, 4517, 1010, 6677, 889, 710, 5129, 519, 627, 648, 1996, 1864, 267, 543, 4682, 2476, 689, 1864, 21349, 1200, 4651, 781, 2777, 547, 21861, 548, 1335, 9080, 1695, 267, 543, 729, 972, 2185, 2898, 3275, 563, 291, 541, 2421, 6426, 22564, 454, 4517, 1010, 6677, 889, 710, 2968, 14220, 609, 1864, 267, 543, 1352, 4682, 2476, 689, 1864, 547, 1200, 4651, 781, 2777, 693, 21861, 548, 1335, 538, 28311, 267, 543, 729, 972, 930, 2185, 3275, 563, 13328, 2296, 6426, 454, 14367, 6677, 889, 710, 5129, 519, 14382, 3482, 1996, 1864, 267, 543, 4682, 2476, 689, 1864, 547, 1200, 4651, 781, 2777, 547, 21861, 548, 1335, 28311, 267, 543, 729, 972, 519, 2230, 540, 2185, 3275, 563, 21930, 781, 22175, 1968, 22564, 454, 663, 3479, 627, 1819, 558, 1996, 1864, 546, 1054, 1010, 6677, 889, 710, 267, 543, 1352, 979, 996, 689, 1864, 21349, 519, 2777, 540, 1200, 4651, 267, 21349, 21861, 30071, 1335, 11219, 644, 1695, 267, 543, 568, 972, 2395, 4534, 2185, 3275, 563, 297, 644, 2471, 476, 866, 281, 273, 23155, 454, 4467, 29232, 21574, 5886, 262, 11872, 593, 519, 6426, 454, 25440, 539, 519, 627, 648, 1996, 1864, 910, 12344, 1152, 2495, 602, 1352, 10443, 2476, 689, 1864, 267, 543, 2451, 1864, 267, 585, 1352, 8120, 547, 1200, 4651, 781, 2777, 563, 2690, 519, 1620, 540, 519, 2038, 1686, 543, 4984, 540, 5840, 267, 519, 1433, 540, 7225, 2471, 267, 799, 6227, 519, 1974, 689, 519, 2669, 540, 26056, 547, 519, 4098, 540, 519, 6560, 609, 519, 5845, 626, 1149, 267, 568, 540, 538, 652, 574, 762, 2956, 282, 543, 621, 568, 1360, 26752, 602, 519, 2609, 8329, 676, 519, 2663, 15769, 616, 865, 3362, 9674, 689, 519, 3504, 2984, 4171, 5837, 789, 3343, 547, 1448, 269, 2334, 5837, 568, 1034, 11840, 2299, 7150, 538, 13797, 269, 476, 277, 268, 13839, 269, 476, 277, 267, 799, 568, 513, 4990, 540, 10872, 610, 840, 2183, 547, 25831, 269, 476, 278, 14870, 12858, 269, 476, 4029, 267, 799, 13054, 6693, 11990, 28089, 5062, 293, 8014, 523, 1765, 7072, 547, 519, 6196, 11620, 454, 3086, 972, 729, 513, 1762, 812, 689, 21861, 548, 1335, 538, 28311, 267, 540, 519, 1920, 540, 28311, 267, 945, 729, 513, 23821, 924, 282, 543, 646, 729, 9363, 972, 563, 3086, 621, 3357, 827, 538, 1346, 2395, 267, 950, 972, 729, 1100, 4622, 538, 5840, 267, 602, 972, 729, 513, 1978, 23821, 924, 9363, 538, 519, 6552, 851, 540, 519, 14629, 2197, 540, 661, 874, 571, 574, 267, 945, 3576, 513, 6677, 889, 710, 585, 5128, 689, 21861, 548, 1335, 538, 28311, 563, 10190, 1200, 9393, 21256, 543, 4682, 1310, 1200, 547, 3717, 13035, 569, 547, 1200, 538, 1931, 547, 3142, 1200, 1394, 267, 2921, 609, 1864, 1010, 22700, 543, 513, 6292, 540, 1810, 12399, 269, 1924, 1352, 4547, 1864, 883, 1200, 4651, 781, 2777, 267, 543, 950, 519, 8004, 781, 4651, 4718, 1864, 267, 646, 729, 19914, 547, 2743, 1864, 563, 297, 2794, 547, 19881, 25105, 4911, 787, 21861, 548, 1335, 21861, 30071, 1335, 21861, 548, 1335, 9080, 1695, 21861, 30071, 1335, 11219, 644, 1695, 8758, 19270, 889, 710, 4498, 14309, 5600, 28311, 3933, 2195, 11270, 7591, 539, 1160, 560, 3482, 4419, 656, 8862, 1057, 6611, 1133, 17304, 603, 995, 19940, 1733, 648, 1733, 1819, 558, 454, 297, 2794, 547, 8921, 25105, 4911, 787, 21861, 548, 1335, 21861, 30071, 1335, 21861, 548, 1335, 9080, 1695, 21861, 30071, 1335, 11219, 644, 1695, 8758, 19270, 889, 710, 4498, 14309, 5600, 28311, 3933, 2195, 11270, 7591, 539, 1160, 560, 3482, 4419, 656, 8862, 1057, 6611, 1133, 17304, 603, 995, 19940, 1733, 648, 1733, 1819, 558, 454, 299, 3855, 297, 644, 2471, 476, 866, 281, 273, 715, 4353, 454, 297, 644, 2471, 476, 866, 281, 273, 715, 299, 307, 454, 297, 644, 2471, 476, 866, 281, 273, 11536, 309, 454, 297, 644, 2471, 476, 866, 281, 273, 7730, 289, 454, 297, 644, 2471, 476, 866, 281, 273, 918, 297, 309, 454, 297, 644, 2471, 476, 866, 281, 273, 6426, 29393, 454, 297, 644, 2471, 476, 866, 281, 273, 645, 7441, 807, 3474, 531, 11253, 454, 297, 644, 2471, 476, 866, 281, 273, 4457, 6426, 454, 297, 644, 2471, 476, 866, 281, 273, 3943, 6426, 454, 297, 644, 2471, 476, 866, 281, 273, 4436, 6426, 454, 297, 644, 2471, 476, 866, 281, 273, 19410, 2456, 0, 5278, 536, 1824, 5968 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 401, 354, 402, 478, 401, 354, 401, 370, 630, 30265, 523, 1014, 994, 268, 715, 832, 330, 630, 301, 528, 19886, 994, 268, 2296, 630, 12626, 994, 17504, 540, 519, 4303, 454, 25898, 596, 899, 721, 547, 6494, 596, 513, 17676, 1007, 2262, 4214, 9447, 547, 707, 28600, 3232, 888, 28097, 891, 11963, 8847, 609, 519, 2146, 912, 8196, 519, 11239, 2630, 547, 1039, 713, 4214, 547, 707, 15853, 912, 257, 4944, 749, 1701, 26479, 14492, 269, 5254, 3198, 9169, 275, 20941, 267, 476, 1708, 274, 269, 5680, 269, 476, 277, 4924, 269, 476, 1708, 274, 269, 2999, 10059, 2517, 4178, 269, 3698, 20532, 14492, 270, 3698, 6873, 4882, 335, 749, 20101, 0, 24248, 1564, 616, 606, 7533, 1907, 540, 23316, 543, 2792, 1317, 540, 875, 789, 948, 721, 547, 2697, 267, 30387, 267, 10891, 267, 543, 4766, 3615, 267, 10450, 267, 543, 2833, 563, 4913, 267, 10297, 602, 796, 4621, 19290, 1205, 4294, 547, 6000, 610, 1866, 685, 9163, 666, 24183, 938, 1565, 1761, 543, 5626, 8112, 269, 634, 2601, 1373, 568, 602, 3961, 10297, 4043, 547, 2099, 513, 1650, 602, 27786, 938, 28671, 267, 4075, 6681, 1145, 267, 543, 2648, 629, 30276, 563, 268, 14847, 1890, 281, 2549, 594, 19579, 888, 268, 12484, 6681, 1145, 281, 2549, 594, 513, 1434, 1268, 888, 268, 11146, 629, 30276, 281, 2549, 594, 17709, 540, 2648, 888, 2691, 649, 1745, 602, 519, 1650, 649, 2995, 6000, 827, 945, 649, 616, 568, 12219, 267, 938, 7350, 4991, 15427, 269, 1284, 4431, 856, 540, 4250, 609, 606, 15859, 547, 4339, 267, 25176, 267, 10505, 267, 543, 5924, 19068, 538, 1931, 547, 7639, 269, 10251, 267, 950, 938, 12058, 616, 840, 31039, 609, 6668, 267, 789, 616, 24835, 762, 540, 1163, 2056, 1648, 538, 1931, 547, 1451, 267, 1685, 267, 543, 3082, 563, 11997, 267, 621, 568, 2565, 547, 2259, 11287, 2436, 938, 12402, 568, 547, 2070, 938, 2833, 607, 6003, 619, 540, 945, 649, 616, 610, 3610, 540, 945, 649, 666, 1831, 563, 10111, 565, 667, 933, 1188, 779, 1382, 593, 14820, 3459, 609, 11287, 513, 11984, 1063, 3214, 602, 2968, 21616, 267, 8886, 730, 267, 543, 771, 15517, 539, 538, 11264, 13410, 602, 24482, 3893, 9875, 538, 4334, 547, 824, 3214, 602, 2968, 811, 7722, 267, 10069, 1242, 267, 543, 5461, 607, 519, 13410, 8057, 538, 7411, 563, 291, 933, 1188, 9286, 519, 1101, 1895, 540, 3214, 607, 1373, 6378, 2247, 539, 543, 519, 2034, 1895, 540, 3214, 607, 1373, 2208, 2247, 539, 269, 1280, 519, 6378, 2247, 539, 3214, 267, 789, 2968, 27209, 1317, 789, 9763, 519, 11015, 7411, 607, 513, 8628, 6268, 540, 741, 1983, 564, 282, 6466, 267, 585, 519, 2208, 2247, 539, 3214, 267, 789, 2968, 811, 9415, 1317, 789, 9763, 519, 11015, 7411, 607, 606, 4316, 547, 1451, 543, 1332, 563, 4415, 811, 4656, 936, 875, 649, 1118, 2495, 540, 938, 2833, 267, 649, 666, 3442, 547, 4225, 1565, 936, 21458, 269, 590, 4660, 8335, 267, 1450, 606, 1995, 547, 4001, 596, 2864, 982, 9794, 596, 630, 335, 269, 476, 3192, 1916, 24248, 1564, 616, 1419, 513, 14407, 5187, 2305, 602, 7866, 602, 799, 649, 616, 12922, 540, 1373, 3020, 269, 901, 568, 1946, 950, 649, 616, 5185, 609, 6937, 267, 649, 5706, 873, 267, 936, 268, 1211, 1518, 609, 873, 267, 543, 5924, 936, 22771, 269, 898, 568, 1455, 547, 5873, 1004, 2161, 968, 296, 993, 1659, 995, 609, 2029, 892, 950, 789, 616, 21947, 609, 513, 2930, 7411, 269, 6684, 267, 667, 933, 1188, 538, 9650, 3553, 11339, 827, 2576, 779, 12402, 547, 22545, 936, 513, 19943, 540, 18969, 543, 14487, 621, 547, 873, 1373, 804, 636, 1910, 563, 21156, 540, 21458, 3054, 607, 804, 636, 1910, 267, 2307, 3054, 281, 1548, 1281, 713, 556, 24593, 2590, 4806, 540, 5679, 12177, 1919, 936, 4001, 596, 827, 707, 6208, 540, 3007, 543, 32638, 4656, 888, 763, 1483, 4161, 609, 14488, 568, 711, 519, 4110, 540, 7411, 540, 1018, 621, 568, 596, 616, 6849, 267, 855, 519, 2495, 596, 1118, 827, 945, 596, 616, 607, 596, 3068, 621, 269, 3657, 596, 21458, 3054, 610, 3450, 3054, 286, 0, 4415, 1152, 476, 5392, 260, 540, 519, 2136, 2276, 18764, 1996, 5046, 268, 866, 607, 540, 5147, 476, 2641, 267, 621, 666, 1745, 899, 707, 3646, 547, 13599, 2550, 2614, 547, 2149, 2933, 616, 538, 642, 664, 269, 1715, 1239, 3370, 676, 519, 4750, 540, 519, 1977, 6481, 5948, 3081, 6382, 267, 2705, 269, 769, 1249, 267, 621, 5526, 602, 6835, 9447, 676, 13500, 666, 2965, 948, 2333, 5046, 268, 866, 1702, 543, 1256, 8115, 519, 7934, 538, 1072, 31716, 1851, 1114, 986, 6203, 538, 519, 772, 2529, 269, 19537, 1233, 689, 513, 5619, 540, 476, 1240, 267, 23417, 4563, 4079, 543, 6519, 4079, 267, 519, 2164, 1705, 711, 8428, 676, 5198, 269, 19893, 9763, 3872, 7044, 10023, 2901, 513, 4563, 10629, 610, 513, 6519, 10629, 269, 634, 968, 2897, 2692, 892, 1895, 4718, 835, 7231, 609, 2489, 1072, 3584, 267, 1247, 519, 968, 339, 13015, 892, 1895, 4718, 835, 540, 1896, 8747, 7231, 609, 1455, 2589, 540, 5046, 268, 866, 267, 1699, 2013, 2338, 267, 610, 15544, 585, 8376, 543, 10644, 1514, 26865, 4808, 269, 5403, 13156, 267, 519, 2126, 2516, 4951, 4130, 10616, 538, 5046, 268, 866, 1702, 3379, 609, 519, 1852, 1895, 779, 1702, 540, 519, 2489, 3584, 4988, 538, 741, 3381, 630, 4532, 2064, 2557, 5223, 540, 476, 271, 269, 8660, 5288, 476, 272, 269, 4962, 1040, 4329, 267, 1582, 3146, 19959, 3106, 5615, 4824, 538, 519, 2126, 2516, 269, 634, 4589, 11943, 602, 968, 31850, 6509, 20261, 11044, 949, 581, 2500, 538, 7479, 8172, 2818, 540, 2486, 689, 513, 3376, 2039, 540, 10080, 547, 3343, 1344, 543, 9772, 15324, 5615, 547, 8396, 5046, 268, 866, 1848, 634, 5377, 1899, 281, 1403, 596, 6414, 538, 3843, 547, 3914, 2550, 945, 1869, 1810, 1406, 1205, 519, 5048, 602, 12674, 543, 10257, 1981, 3146, 9134, 5615, 666, 4688, 2729, 267, 972, 779, 513, 1434, 4960, 596, 3580, 1205, 998, 547, 693, 2547, 513, 1906, 11652, 602, 1223, 12777, 581, 519, 3017, 1063, 1272, 543, 2669, 585, 930, 3885, 563, 16605, 693, 898, 1765, 24357, 6509, 5937, 601, 9121, 21111, 3798, 26419, 6496, 5269, 513, 16338, 630, 19324, 2403, 609, 5046, 268, 866, 264, 0, 19350, 568, 513, 4015, 540, 31226, 1002, 4425, 2200, 2813, 676, 634, 6733, 7322, 4741, 5234, 610, 8329, 547, 519, 3135, 676, 6014, 7855, 563, 1607, 568, 513, 3395, 4015, 269, 6744, 1394, 4166, 610, 2328, 547, 721, 693, 4757, 11333, 2593, 952, 596, 4769, 1406, 1265, 1018, 596, 2461, 3168, 585, 563, 291, 3041, 290, 4785, 31064, 6730, 681, 9128, 28421, 3582, 32530, 16739, 454, 9223, 1948, 272, 281, 769, 31226, 1002, 4425, 267, 649, 1451, 540, 519, 1101, 5378, 345, 341, 1695, 519, 6014, 1004, 4607, 607, 513, 4182, 1107, 519, 4971, 618, 540, 681, 9655, 932, 3941, 327, 269, 634, 3275, 1131, 581, 18886, 2687, 547, 519, 11775, 540, 519, 7599, 269, 1306, 10437, 538, 5527, 267, 741, 942, 729, 711, 741, 1378, 543, 20705, 547, 741, 18544, 269, 3767, 267, 607, 1863, 1004, 267, 789, 786, 17551, 950, 519, 3923, 5956, 543, 786, 723, 519, 5539, 547, 946, 741, 942, 20617, 269, 1215, 666, 596, 1655, 946, 707, 1863, 942, 286, 1684, 596, 1589, 596, 3335, 946, 707, 1863, 942, 1134, 286, 4208, 610, 1946, 711, 888, 16100, 3330, 519, 1257, 630, 306, 1335, 582, 476, 1321, 281, 273, 13211, 403, 498, 402, 371, 403, 501, 402, 373, 403, 497, 402, 370, 403, 358, 403, 479, 13913, 498, 402, 371, 403, 500, 402, 370, 32679, 403, 498, 13913, 506, 402, 372, 403, 505, 402, 370, 403, 507, 13913, 357, 402, 373, 403, 494, 403, 358, 403, 479, 13913, 501, 403, 497, 402, 372, 403, 358, 402, 368, 403, 479, 27783, 507, 13913, 357, 402, 368, 403, 494, 403, 358, 403, 479, 25149, 402, 373, 403, 509, 13913, 498, 25149, 32679, 403, 494, 13913, 506, 402, 372, 403, 505, 402, 370, 403, 507, 13913, 506, 402, 364, 403, 501, 402, 372, 403, 497, 402, 364, 403, 358, 402, 369, 403, 479, 21012, 13913, 498, 402, 371, 403, 358, 402, 372, 32679, 403, 479, 403, 510, 402, 372, 403, 498, 1107, 901, 3923, 786, 1665, 585, 596, 519, 4098, 540, 519, 3275, 282, 621, 786, 581, 519, 1101, 540, 519, 3275, 540, 519, 1032, 585, 596, 563, 9223, 1948, 273, 281, 15526, 14560, 2984, 256, 2052, 621, 581, 513, 5378, 345, 341, 1695, 547, 2995, 513, 1650, 286, 769, 31226, 1002, 4425, 267, 649, 1224, 827, 519, 2956, 540, 10213, 938, 1453, 519, 1650, 540, 519, 31519, 269, 4208, 798, 596, 1589, 621, 779, 1271, 547, 2995, 519, 1650, 547, 519, 1453, 286, 4208, 3884, 1406, 621, 2614, 547, 1224, 519, 1650, 538, 519, 22560, 2542, 538, 519, 31263, 4084, 286, 1684, 596, 1589, 596, 3580, 3314, 707, 1920, 1650, 543, 581, 2111, 547, 2995, 707, 1453, 835, 1554, 888, 16100, 3330, 519, 1257, 630, 306, 1335, 582, 476, 1724, 281, 279, 13211, 25149, 402, 364, 403, 498, 402, 368, 403, 496, 402, 371, 32679, 403, 497, 402, 364, 403, 359, 402, 372, 32679, 13913, 506, 402, 364, 403, 495, 402, 368, 403, 510, 402, 364, 403, 504, 402, 372, 13913, 495, 402, 371, 32679, 21012, 32679, 25149, 402, 373, 403, 507, 13913, 498, 402, 371, 403, 498, 25149, 32679, 403, 494, 13913, 506, 402, 369, 403, 494, 403, 508, 402, 373, 29645, 13913, 495, 402, 371, 32679, 403, 351, 402, 366, 403, 495, 25149, 32679, 29645, 13913, 500, 402, 370, 402, 501, 403, 498, 13913, 351, 402, 372, 403, 358, 402, 372, 403, 480, 403, 498, 13913, 498, 685, 13913, 506, 402, 368, 21012, 13913, 495, 402, 364, 32679, 403, 355, 402, 369, 403, 494, 403, 359, 402, 368, 21012, 13913, 508, 402, 368, 403, 508, 402, 368, 32679, 403, 355, 402, 364, 29645, 402, 372, 21012, 402, 368, 403, 507, 1107, 1656, 596, 786, 2491, 547, 707, 5067, 593, 602, 1554, 267, 2048, 2005, 568, 1317, 540, 1018, 2696, 1705, 585, 803, 950, 594, 4682, 1863, 689, 5527, 19028, 9223, 1948, 274, 281, 2060, 519, 31519, 267, 7642, 941, 2016, 741, 1378, 11706, 267, 799, 13333, 593, 513, 1114, 1062, 689, 602, 540, 824, 6082, 269, 24641, 782, 824, 6082, 723, 2901, 3859, 610, 16264, 30300, 1513, 267, 519, 6014, 11706, 568, 16922, 540, 16264, 3275, 543, 3859, 1296, 609, 513, 1950, 1062, 540, 11941, 269, 1548, 616, 519, 5383, 540, 971, 513, 1062, 286, 1548, 1281, 2348, 513, 5094, 30300, 3740, 1062, 798, 547, 519, 5872, 1063, 7642, 543, 824, 6082, 286, 1772, 602, 513, 1434, 610, 513, 3983, 3364, 888, 9223, 1948, 275, 281, 769, 3504, 4529, 267, 519, 1101, 9799, 729, 2808, 6923, 9120, 547, 782, 1010, 16254, 543, 2016, 519, 4341, 540, 519, 7622, 269, 634, 22560, 4051, 338, 602, 519, 1101, 26978, 267, 1256, 540, 519, 2831, 267, 616, 13411, 543, 1590, 581, 6131, 547, 2696, 269, 1772, 519, 22560, 3843, 547, 3136, 519, 3504, 2853, 610, 7519, 873, 286, 9701, 972, 581, 513, 2067, 25752, 538, 1169, 1920, 267, 610, 568, 930, 824, 1062, 540, 3892, 811, 12581, 286, 6496, 17194, 3494, 602, 1978, 2043, 267, 676, 16495, 540, 741, 4332, 267, 616, 2808, 9120, 888, 299, 8577, 2177, 12813, 23177, 6730, 8121, 12087, 299, 2464, 454, 17954, 1136, 5240, 689, 968, 763, 5527, 8648, 892, 1107, 901, 3992, 1544, 585, 1647, 1153, 1053, 2882, 1603, 11356, 4930, 10503, 1883, 2621, 602, 3576, 1747, 538, 519, 608, 21402, 540, 5527, 543, 666, 581, 9862, 585, 513, 5691, 4928, 269, 0, 291, 3195, 338, 267, 5983, 339, 32478, 267, 674, 2803, 17495, 12976, 267, 11330, 515, 1097, 543, 15350, 454, 24685, 513, 24090, 1633, 789, 9114, 2676, 291, 3195, 532, 607, 519, 2395, 979, 676, 2676, 291, 3195, 532, 607, 519, 28782, 5884, 912, 30706, 1743, 14823, 1524, 519, 6908, 24121, 299, 532, 1359, 538, 519, 11344, 575, 548, 600, 24121, 16908, 267, 1018, 568, 621, 855, 513, 5326, 18313, 24145, 1155, 814, 5326, 2984, 538, 11606, 543, 1079, 540, 519, 1034, 4583, 616, 519, 7705, 2984, 267, 12077, 9338, 21201, 24912, 5084, 309, 7728, 7838, 2464, 5442, 654, 2177, 29308, 299, 13263, 543, 9338, 21201, 8946, 4629, 308, 21203, 5990, 29486, 19170, 8566, 299, 19798, 269, 769, 519, 8545, 267, 519, 2470, 540, 6228, 540, 7705, 15372, 5944, 2501, 883, 2243, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31130, 681, 2532, 514, 454, 272, 269, 11137, 281, 589, 5929, 627, 617, 22780, 10023, 513, 3309, 5641, 540, 3197, 642, 3539, 585, 18472, 3842, 6061, 10562, 678, 26680, 543, 13410, 454, 273, 269, 9752, 18745, 281, 16709, 540, 4798, 899, 9316, 267, 6735, 267, 543, 4199, 6888, 282, 6514, 540, 2278, 781, 4739, 5079, 538, 14335, 519, 3844, 9814, 454, 289, 269, 13983, 1263, 20199, 5600, 676, 25562, 6660, 5112, 454, 272, 269, 11137, 281, 589, 530, 842, 787, 9661, 10704, 1472, 513, 1159, 10212, 2401, 781, 7961, 1141, 14538, 2671, 12357, 8941, 543, 11580, 267, 20872, 519, 16502, 547, 4019, 1010, 16012, 1702, 540, 9479, 547, 4194, 513, 1920, 25752, 5979, 558, 17403, 454, 273, 269, 9752, 18745, 281, 5811, 540, 1915, 18144, 543, 2208, 2429, 519, 1650, 282, 7634, 540, 875, 4259, 8309, 547, 5790, 543, 7099, 454, 290, 269, 4975, 1975, 625, 676, 6276, 30716, 328, 454, 272, 269, 11137, 281, 1323, 2962, 1790, 17977, 7045, 827, 2947, 14038, 25945, 676, 24696, 277, 547, 8415, 741, 1367, 15421, 267, 1519, 3009, 31771, 267, 547, 555, 23702, 3486, 7803, 14565, 454, 273, 269, 9752, 18745, 281, 17564, 540, 2518, 2520, 641, 29176, 543, 4987, 4238, 282, 6268, 540, 2319, 6384, 543, 1895, 5698, 2994, 692, 1103, 3932, 267, 11174, 5708, 3009, 31771, 13655, 2709, 3638, 3872, 3255, 998, 2502, 6386, 543, 6946, 13410, 269, 1635, 6313, 741, 10747, 2934, 267, 16439, 3140, 5072, 267, 8220, 873, 547, 4207, 2152, 267, 543, 3695, 8037, 1806, 267, 1053, 666, 15052, 741, 7071, 585, 713, 4241, 5339, 24848, 516, 1247, 28798, 1898, 5042, 1983, 10858, 2066, 10459, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 14240, 540, 2637, 516, 454, 7049, 516, 24865, 689, 519, 3943, 2262, 2495, 2186, 610, 1826, 269, 1306, 513, 5339, 3926, 267, 9135, 4016, 547, 513, 1106, 267, 1362, 267, 610, 1826, 540, 5339, 960, 269, 634, 3119, 11964, 538, 3332, 616, 6965, 267, 12416, 1315, 1404, 2073, 1557, 2073, 2110, 1650, 2073, 543, 3209, 1547, 634, 2165, 9135, 568, 1031, 3833, 1419, 547, 20301, 5339, 1016, 11665, 5874, 610, 1808, 2010, 540, 3332, 971, 607, 18792, 2073, 13357, 2073, 12473, 6965, 267, 4278, 14525, 2073, 2257, 5708, 2073, 15832, 2073, 3092, 563, 2005, 779, 1271, 547, 4063, 602, 267, 607, 513, 5339, 3926, 267, 519, 9135, 568, 5702, 13615, 547, 519, 6788, 540, 3988, 269, 901, 568, 2523, 3020, 585, 5339, 1016, 11665, 5874, 269, 1280, 1383, 267, 13191, 3243, 523, 11313, 338, 960, 568, 9286, 676, 1034, 607, 851, 540, 519, 15832, 5708, 9135, 267, 607, 7152, 676, 713, 10839, 689, 1200, 3209, 23281, 543, 11576, 2225, 10778, 2691, 594, 2887, 538, 2648, 267, 621, 786, 581, 11014, 563, 15987, 3243, 523, 779, 960, 568, 811, 1950, 982, 1034, 4542, 545, 15832, 9089, 267, 3988, 540, 3243, 523, 779, 960, 723, 513, 1305, 540, 6788, 602, 621, 786, 4183, 513, 2648, 1650, 540, 930, 2186, 269, 1403, 513, 5467, 9087, 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, 22383, 1299, 18753, 26358, 1315, 25491, 1299, 23618, 633, 1315, 8943, 5174, 516, 1136, 27405, 625, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11761, 543, 8880, 21748, 540, 519, 11824, 30160, 616, 10169, 21467, 560, 13846, 269, 8074, 602, 713, 9043, 849, 814, 513, 15493, 546, 2317, 799, 267, 547, 930, 6708, 267, 17808, 543, 4389, 519, 2244, 1189, 7670, 1662, 2095, 269, 769, 713, 2013, 267, 2705, 267, 519, 15493, 546, 2317, 729, 7670, 14414, 269, 5637, 8747, 540, 590, 23813, 21815, 3812, 13380, 2164, 7282, 519, 3337, 540, 519, 15493, 546, 2317, 269, 634, 1007, 590, 23813, 21815, 20533, 519, 5066, 1478, 540, 519, 15493, 546, 2317, 1134, 269, 769, 2489, 267, 519, 2203, 2164, 616, 538, 1434, 6876, 609, 519, 6027, 11824, 12632, 269, 634, 1007, 590, 23813, 21815, 4528, 1568, 15824, 1732, 982, 519, 3312, 835, 693, 519, 15493, 540, 519, 9043, 630, 8201, 476, 276, 269, 1556, 1040, 2667, 622, 6558, 6816, 15870, 275, 9043, 814, 513, 1970, 543, 5266, 6366, 1394, 11064, 269, 634, 11191, 2164, 609, 1312, 590, 23813, 21815, 8747, 6556, 513, 2539, 11824, 3068, 21748, 982, 519, 7403, 2303, 630, 16694, 602, 519, 2022, 3613, 768, 9043, 1281, 711, 8831, 1360, 2484, 23772, 731, 1040, 16592, 11824, 3068, 21748, 543, 2244, 1189, 9194, 540, 519, 30160, 616, 21467, 560, 13846, 269, 25169, 1478, 11159, 4320, 7229, 676, 519, 3631, 568, 13380, 547, 519, 7403, 269, 634, 1007, 5690, 1568, 1732, 585, 513, 8880, 9386, 543, 585, 519, 2013, 540, 538, 1495, 566, 267, 2094, 519, 1007, 5690, 568, 711, 8200, 593, 519, 15493, 9386, 267, 1519, 2188, 971, 607, 519, 2360, 540, 14694, 10825, 543, 22467, 1674, 630, 8201, 476, 276, 269, 1321, 1916, 8993, 269, 476, 276, 269, 1556, 281, 29896, 2164, 540, 3312, 543, 1007, 590, 23813, 21815, 4528, 281, 2667, 622, 6558, 6816, 15870, 274, 9043, 454, 8993, 269, 476, 276, 269, 1321, 281, 29896, 2164, 540, 3312, 543, 1007, 590, 23813, 21815, 4528, 281, 2667, 622, 6558, 6816, 15870, 275, 9043, 476, 276, 269, 273, 269, 274, 11576, 6638, 769, 713, 3296, 267, 519, 8417, 540, 519, 3312, 543, 1007, 590, 23813, 21815, 7670, 1662, 3631, 547, 2242, 538, 930, 1883, 3403, 4632, 267, 971, 607, 5951, 4463, 543, 1216, 1377, 267, 543, 1883, 3403, 6724, 267, 971, 607, 14694, 10825, 630, 13967, 312, 264, 543, 22467, 1674, 630, 290, 3201, 1070, 786, 581, 11567, 269, 12186, 540, 519, 5951, 4463, 769, 1931, 547, 1449, 519, 2360, 540, 8390, 538, 5951, 4463, 593, 519, 590, 23813, 21815, 3631, 267, 519, 5951, 4463, 729, 9867, 689, 476, 278, 269, 5038, 544, 547, 476, 280, 269, 1691, 544, 543, 519, 5951, 1974, 689, 476, 1321, 269, 3374, 521, 547, 476, 1724, 269, 5952, 521, 267, 1247, 519, 1216, 1377, 729, 4371, 3586, 269, 634, 9043, 1031, 568, 513, 1085, 3012, 1242, 4528, 540, 674, 14709, 16047, 476, 25971, 274, 289, 267, 543, 519, 3483, 540, 519, 1449, 729, 547, 1152, 18082, 2196, 1575, 7670, 1662, 269, 1306, 4397, 267, 519, 3677, 519, 5951, 4463, 568, 519, 3677, 519, 11547, 1478, 11159, 4320, 568, 269, 3143, 2101, 3604, 1063, 519, 2025, 543, 1007, 590, 23813, 21815, 13502, 941, 4767, 267, 2094, 9043, 2242, 941, 6140, 1813, 547, 2196, 1575, 7670, 1662, 630, 8201, 476, 276, 269, 1724, 543, 7612, 476, 276, 269, 1691, 1040, 634, 9588, 540, 519, 30160, 21748, 3448, 547, 519, 9588, 540, 5951, 4463, 1689, 568, 5111, 476, 2004, 4699, 585, 1169, 476, 271, 269, 276, 544, 2333, 538, 5951, 4463, 585, 519, 2025, 590, 23813, 21815, 2203, 543, 476, 3374, 4699, 585, 1169, 476, 271, 269, 276, 544, 2333, 538, 5951, 4463, 585, 519, 2025, 590, 23813, 21815, 2203, 269, 634, 2244, 1189, 1439, 540, 519, 30160, 2256, 2644, 476, 274, 544, 585, 1169, 476, 271, 269, 276, 544, 2333, 538, 5951, 4463, 267, 585, 1312, 3631, 563, 8993, 269, 476, 276, 269, 1724, 281, 634, 1198, 540, 23027, 4463, 4657, 593, 513, 1085, 3012, 1125, 9043, 538, 519, 3312, 590, 23813, 21815, 7670, 1662, 2203, 563, 8993, 269, 276, 269, 1691, 281, 634, 1198, 540, 23027, 4463, 4657, 593, 513, 1085, 3012, 1125, 9043, 538, 519, 1007, 590, 23813, 21815, 7670, 1662, 2203, 12186, 540, 1216, 1377, 634, 1482, 1085, 3012, 1242, 11824, 9043, 729, 1031, 547, 6218, 519, 2203, 8417, 547, 2242, 538, 1216, 1377, 269, 634, 1216, 1377, 729, 9867, 689, 476, 273, 269, 1724, 544, 547, 476, 275, 269, 8287, 544, 269, 634, 5951, 4463, 543, 5951, 1974, 941, 4371, 3586, 693, 476, 278, 269, 5038, 544, 543, 476, 1321, 269, 5952, 267, 6606, 269, 8074, 602, 519, 11824, 30160, 568, 476, 275, 269, 1240, 544, 865, 602, 1797, 519, 11824, 9043, 568, 538, 1495, 730, 538, 519, 1079, 2063, 2665, 269, 634, 3312, 590, 23813, 21815, 13502, 1397, 602, 621, 3112, 6023, 519, 1079, 2063, 2013, 540, 538, 1495, 566, 7670, 1662, 282, 519, 11824, 30160, 23465, 899, 513, 3046, 267, 607, 11609, 538, 7612, 476, 276, 269, 1428, 269, 634, 4528, 609, 519, 1007, 5690, 547, 18082, 538, 1495, 566, 7670, 1662, 5249, 1454, 1732, 267, 2094, 3677, 11547, 1478, 12531, 616, 10567, 607, 519, 4430, 1216, 1377, 4679, 630, 8201, 476, 276, 269, 1626, 1040, 5637, 8747, 1267, 538, 2147, 2164, 585, 519, 1101, 2013, 1317, 519, 1216, 1377, 568, 1454, 2539, 982, 519, 11824, 30160, 267, 31552, 602, 7670, 1662, 568, 1152, 1813, 547, 5951, 2196, 1575, 563, 8993, 269, 476, 276, 269, 1428, 281, 634, 1198, 540, 1216, 1377, 1689, 593, 513, 1085, 3012, 1242, 9043, 609, 519, 3312, 590, 23813, 21815, 7670, 1662, 2203, 563, 8993, 269, 476, 276, 269, 1626, 281, 634, 1198, 540, 1216, 1377, 1689, 593, 513, 1085, 3012, 1242, 9043, 609, 519, 1007, 590, 23813, 21815, 7670, 1662, 2203, 5565, 1114, 10659, 540, 1216, 1377, 543, 5951, 4463, 267, 799, 1927, 2285, 513, 2147, 5021, 1216, 15038, 267, 941, 20533, 547, 1449, 2436, 519, 1216, 1377, 610, 5951, 4463, 5631, 5540, 519, 7670, 1662, 11159, 3157, 269, 1306, 5018, 1354, 267, 519, 3312, 590, 23813, 21815, 4528, 666, 1152, 18082, 2196, 1575, 7670, 1662, 267, 799, 568, 5693, 2938, 538, 7612, 476, 276, 269, 1704, 269, 8865, 476, 272, 609, 513, 1164, 1216, 1377, 540, 476, 276, 544, 267, 31552, 538, 1495, 566, 7670, 1662, 267, 1705, 711, 2014, 1022, 1713, 519, 1689, 538, 519, 9043, 3337, 267, 607, 4397, 563, 8993, 269, 476, 276, 269, 1704, 281, 5565, 2665, 547, 1449, 519, 7670, 1662, 676, 2196, 1575, 543, 538, 1495, 566, 538, 3312, 590, 23813, 21815, 7670, 1662, 2203, 7612, 476, 276, 269, 1240, 14550, 519, 2164, 609, 519, 1007, 590, 23813, 21815, 4528, 269, 1280, 2196, 1575, 7670, 1662, 630, 19111, 476, 273, 264, 519, 2164, 568, 519, 1482, 607, 585, 3312, 4528, 267, 855, 585, 519, 538, 1495, 566, 2013, 519, 1007, 4528, 7472, 513, 811, 10853, 9043, 3337, 982, 519, 3312, 2203, 269, 1403, 519, 3003, 546, 2317, 9043, 568, 538, 1495, 730, 267, 9645, 7670, 1662, 12074, 2244, 1189, 540, 519, 546, 2317, 30160, 568, 4397, 563, 8993, 269, 476, 276, 269, 1240, 281, 5565, 2665, 547, 1449, 519, 7670, 1662, 676, 2196, 1575, 543, 538, 1495, 566, 538, 1007, 590, 23813, 21815, 7670, 1662, 2203, 11576, 6638, 4152, 540, 23363, 6724, 634, 1079, 1292, 3157, 7133, 19916, 1689, 593, 519, 19758, 728, 540, 519, 11064, 616, 14694, 10825, 543, 22467, 1674, 267, 799, 616, 6719, 676, 18328, 312, 543, 595, 3201, 538, 519, 2203, 267, 6606, 269, 769, 1931, 547, 1294, 519, 2360, 540, 14694, 10825, 630, 13967, 312, 1070, 782, 824, 6724, 941, 4371, 3586, 543, 519, 14694, 10825, 9936, 2799, 689, 476, 271, 269, 22650, 547, 476, 271, 269, 4905, 269, 22955, 476, 276, 269, 866, 543, 476, 276, 269, 736, 1397, 602, 519, 5786, 540, 519, 14694, 10825, 2557, 2636, 519, 11547, 1478, 16005, 547, 23309, 2417, 2244, 1189, 1317, 513, 4389, 14694, 10825, 2557, 1797, 602, 519, 2095, 632, 5120, 919, 1447, 269, 3958, 267, 519, 21748, 540, 519, 11064, 8445, 568, 4389, 269, 901, 3815, 1281, 711, 1860, 519, 11824, 3068, 543, 519, 9043, 23772, 731, 540, 519, 11824, 3068, 269, 1635, 2810, 519, 1871, 540, 519, 22467, 1674, 9936, 689, 476, 271, 269, 22650, 547, 476, 271, 269, 4905, 609, 782, 824, 6724, 4371, 3586, 538, 519, 2203, 267, 519, 2360, 540, 519, 22467, 1674, 9936, 593, 519, 9043, 3210, 666, 581, 4767, 269, 769, 519, 1007, 2203, 267, 519, 7670, 4770, 2095, 729, 10924, 11931, 543, 729, 4330, 676, 513, 3625, 540, 1216, 3001, 1524, 513, 9386, 269, 634, 22467, 1674, 2557, 729, 10924, 14354, 547, 519, 4463, 540, 713, 3625, 540, 1216, 269, 1403, 519, 11064, 568, 3819, 538, 519, 3355, 5933, 540, 606, 7670, 1662, 2680, 267, 22467, 1674, 2557, 593, 519, 1394, 8663, 8175, 568, 3833, 4028, 543, 18254, 4386, 607, 519, 2095, 2557, 593, 519, 1394, 8663, 8175, 11081, 269, 1306, 519, 11064, 3587, 6632, 614, 267, 519, 11547, 1478, 11159, 949, 23309, 2417, 24654, 269, 23207, 519, 22467, 1674, 9936, 3123, 519, 11547, 1478, 11159, 547, 581, 20024, 6251, 547, 519, 11824, 30160, 543, 519, 5786, 540, 519, 8445, 568, 4130, 267, 1317, 519, 2095, 4320, 568, 5488, 4389, 543, 8754, 632, 5120, 919, 18334, 563, 8993, 269, 476, 276, 269, 866, 281, 28483, 15870, 275, 281, 13281, 519, 2360, 540, 22467, 1674, 9936, 593, 519, 1007, 590, 23813, 21815, 7670, 1662, 2203, 454, 8993, 269, 476, 276, 269, 736, 281, 28483, 13244, 28266, 6816, 281, 13281, 519, 2360, 540, 22467, 1674, 9936, 593, 519, 1007, 590, 23813, 21815, 7670, 1662, 2203, 454, 276, 269, 273, 269, 275, 12524, 13502, 769, 2038, 476, 1220, 276, 267, 5213, 6773, 569, 1696, 620, 269, 630, 1220, 277, 264, 5342, 606, 7670, 1662, 4603, 538, 513, 476, 274, 269, 4962, 544, 2647, 267, 476, 271, 269, 280, 544, 2620, 267, 543, 476, 8287, 544, 1279, 267, 1079, 8820, 5951, 1166, 2541, 693, 519, 26066, 543, 10281, 13866, 923, 12524, 267, 966, 6506, 7921, 267, 2136, 2276, 269, 634, 1166, 2541, 729, 9112, 540, 6405, 267, 609, 513, 476, 272, 281, 5325, 9386, 1063, 513, 3845, 476, 271, 269, 275, 544, 543, 476, 736, 269, 278, 544, 19654, 540, 519, 5951, 11718, 693, 519, 1439, 540, 519, 1166, 2541, 269, 769, 824, 2694, 519, 6405, 5377, 729, 6366, 543, 8880, 269, 14520, 15654, 4837, 9486, 3177, 606, 4316, 547, 2070, 513, 3259, 540, 476, 1691, 269, 277, 544, 998, 519, 2427, 540, 519, 1166, 2541, 269, 634, 9486, 941, 17479, 476, 280, 269, 278, 544, 689, 519, 19654, 1439, 540, 519, 1166, 2541, 269, 634, 1166, 2541, 729, 9280, 609, 513, 25059, 1826, 5951, 11718, 269, 634, 11667, 10286, 2450, 1282, 519, 4603, 729, 546, 2004, 284, 271, 269, 1626, 269, 634, 11064, 9043, 729, 2966, 547, 21613, 513, 1970, 267, 6366, 267, 546, 684, 6804, 11064, 6532, 269, 634, 23772, 731, 9386, 729, 476, 272, 281, 277, 267, 1247, 519, 2244, 1189, 9386, 13272, 1189, 540, 519, 30160, 729, 476, 272, 281, 1911, 267, 543, 519, 15493, 2244, 1189, 9386, 476, 272, 281, 274, 269, 8422, 8097, 4255, 941, 5342, 593, 713, 9043, 1210, 513, 1970, 1216, 1377, 543, 7670, 4770, 6329, 267, 971, 602, 476, 272, 560, 12512, 2196, 1575, 7670, 1662, 630, 920, 560, 13250, 264, 7018, 267, 543, 513, 2362, 1216, 1377, 543, 7670, 4770, 6329, 971, 602, 7670, 1662, 536, 867, 1359, 593, 519, 12939, 547, 538, 1495, 566, 7670, 1662, 7018, 269, 634, 2196, 1575, 7670, 1662, 4603, 729, 5342, 609, 1312, 2834, 543, 12150, 6329, 269, 634, 8652, 323, 29174, 2175, 540, 519, 1614, 4255, 616, 24298, 538, 519, 7305, 476, 276, 269, 277, 269, 16047, 12632, 941, 6027, 693, 519, 5011, 630, 22139, 543, 3162, 1070, 543, 519, 8998, 1467, 540, 519, 1166, 2541, 267, 1354, 543, 1310, 1142, 4603, 1210, 513, 2698, 6728, 269, 7305, 476, 276, 269, 278, 281, 10281, 16967, 29174, 2175, 540, 1614, 4255, 4530, 3143, 269, 28483, 2012, 4446, 8175, 4463, 630, 332, 264, 23027, 4463, 630, 332, 264, 23027, 1974, 630, 338, 264, 4826, 1377, 630, 332, 264, 23027, 8984, 476, 272, 10418, 268, 8582, 289, 272, 476, 271, 269, 277, 476, 271, 269, 2537, 476, 278, 476, 271, 269, 3393, 278, 273, 14840, 1575, 2834, 476, 273, 10418, 268, 8582, 289, 273, 476, 271, 269, 277, 476, 271, 269, 2537, 476, 276, 476, 271, 269, 3393, 278, 273, 14840, 1575, 7054, 10585, 476, 274, 10418, 268, 8582, 289, 274, 476, 271, 269, 277, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1483, 1609, 520, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 309, 1112, 20187, 16527, 24601, 257, 607, 851, 540, 834, 16300, 16337, 1315, 8466, 1315, 2342, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 29460, 606, 24573, 584, 281, 18786, 2659, 13574, 6355, 692, 5970, 596, 2479, 26927, 3139, 827, 4358, 707, 1378, 1870, 286, 9320, 596, 4312, 2219, 827, 9513, 29586, 14446, 610, 6679, 909, 513, 21097, 1796, 538, 519, 4832, 5503, 269, 4270, 267, 1346, 616, 1390, 1806, 540, 1373, 606, 834, 550, 7651, 584, 10590, 1323, 16724, 568, 2576, 945, 6238, 741, 1378, 1870, 543, 3217, 593, 782, 519, 4220, 543, 12587, 2404, 609, 621, 269, 1358, 946, 741, 5876, 267, 6612, 267, 543, 2182, 960, 547, 2490, 741, 9909, 883, 4641, 780, 3719, 1946, 798, 1004, 1831, 11639, 286, 1703, 616, 1082, 4128, 256, 2290, 2601, 568, 1317, 789, 1294, 1761, 538, 2933, 543, 741, 2146, 269, 1635, 1210, 2199, 2200, 543, 15421, 267, 11639, 666, 1711, 1007, 3255, 585, 2933, 543, 1866, 1472, 873, 269, 901, 1826, 540, 2804, 1646, 4640, 2337, 1628, 6793, 2950, 543, 5932, 2189, 9163, 602, 1305, 4872, 543, 10034, 6306, 780, 5194, 2601, 1004, 3442, 20835, 568, 602, 789, 3494, 621, 3091, 1732, 8458, 540, 1967, 3379, 547, 824, 2409, 540, 2870, 6009, 269, 6884, 267, 2462, 3549, 2482, 1055, 4600, 950, 2053, 1205, 9157, 269, 1717, 267, 1282, 891, 1482, 4101, 5712, 267, 4130, 4213, 1522, 3136, 547, 8853, 269, 1280, 3236, 267, 2094, 476, 1220, 278, 267, 3677, 3549, 630, 5976, 936, 4557, 5520, 264, 4503, 930, 6009, 267, 855, 1360, 1507, 4213, 630, 5976, 7864, 982, 4557, 5520, 264, 2965, 6591, 1256, 811, 7158, 269, 1924, 267, 4742, 606, 16724, 1797, 2348, 519, 1379, 547, 1852, 707, 1378, 2104, 543, 5732, 1683, 7694, 3255, 585, 1866, 1932, 780, 15919, 267, 1004, 6430, 547, 1376, 741, 1378, 4213, 607, 513, 3210, 547, 9561, 6009, 11992, 538, 519, 4346, 269, 1879, 713, 4523, 267, 3079, 540, 7996, 585, 2576, 3116, 547, 2709, 873, 513, 2990, 267, 789, 1491, 6927, 883, 741, 1378, 3946, 543, 1711, 1945, 5863, 856, 540, 4986, 269, 898, 3340, 8990, 267, 10100, 267, 543, 6043, 1107, 855, 3884, 1405, 602, 1018, 2306, 1373, 606, 16724, 865, 14785, 2496, 15563, 267, 1373, 606, 16724, 2636, 2043, 547, 3337, 741, 2146, 781, 22038, 269, 5994, 952, 3025, 16941, 9003, 593, 1804, 14078, 585, 3388, 269, 3776, 1158, 1131, 3668, 4763, 267, 5647, 267, 543, 1915, 269, 1809, 7064, 547, 11639, 267, 649, 723, 1569, 547, 2189, 2472, 267, 2533, 267, 543, 2833, 602, 2992, 938, 3309, 10080, 543, 4690, 269, 1452, 5075, 2456, 3565, 3648, 547, 1818, 938, 2729, 21950, 543, 811, 4277, 780, 1103, 3932, 267, 4742, 606, 16724, 3322, 2921, 7229, 4220, 267, 16107, 2139, 2200, 267, 543, 13197, 3860, 18653, 269, 1306, 596, 7832, 593, 713, 3460, 267, 3314, 602, 972, 786, 581, 2591, 2059, 519, 1259, 269, 1717, 267, 609, 16177, 543, 11428, 267, 596, 666, 1332, 707, 1870, 543, 948, 3337, 707, 2146, 781, 3961, 269, 5808, 6487, 286, 1411, 1223, 581, 519, 1985, 2462, 3364, 2094, 30000, 3694, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 568, 606, 24573, 584, 658, 7991, 888, 22209, 7651, 2720, 1222, 568, 606, 2804, 1646, 4640, 602, 814, 1044, 3395, 538, 8560, 538, 2487, 1296, 269, 2755, 1507, 4213, 723, 2141, 1044, 1271, 3334, 540, 2199, 11615, 267, 1719, 538, 20835, 666, 581, 11911, 547, 912, 268, 606, 7071, 540, 2199, 7221, 543, 13007, 3248, 268, 513, 8226, 540, 1732, 12918, 267, 543, 2539, 1942, 267, 540, 2816, 5137, 982, 4244, 1646, 2994, 3248, 268, 769, 20274, 1063, 476, 1220, 271, 543, 476, 1220, 279, 267, 2816, 2208, 729, 2942, 585, 17055, 4213, 609, 811, 982, 4557, 5520, 282, 2816, 2208, 1851, 1582, 15041, 23903, 7606, 729, 476, 16328, 2600, 267, 543, 2816, 2208, 538, 4213, 609, 1079, 547, 8370, 5520, 729, 476, 1240, 2600, 269, 22868, 693, 10909, 609, 476, 4335, 266, 5520, 8593, 676, 835, 21017, 563, 268, 513, 3210, 547, 2816, 9271, 11992, 538, 519, 4346, 3248, 268, 4595, 476, 1220, 278, 267, 10909, 609, 811, 982, 4557, 5520, 8774, 476, 272, 269, 279, 2600, 540, 741, 6009, 267, 1247, 10909, 609, 8370, 610, 1447, 5520, 8057, 741, 7694, 676, 476, 277, 269, 280, 2600, 269, 272, 454, 268, 513, 7287, 547, 3313, 519, 2146, 779, 22038, 676, 3395, 689, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9199, 1188, 3584, 593, 12108, 25397, 3584, 602, 616, 1271, 547, 596, 454, 1607, 1957, 26779, 938, 1702, 689, 2757, 4457, 2564, 5931, 543, 18840, 1670, 4681, 547, 1865, 26220, 13907, 538, 2038, 3624, 269, 3509, 2090, 723, 13006, 602, 1896, 1114, 2249, 540, 32541, 1439, 641, 31730, 2572, 941, 1459, 538, 2038, 1480, 5095, 2429, 3624, 269, 11048, 267, 3102, 12779, 641, 31730, 527, 1670, 5638, 689, 3624, 616, 15429, 344, 267, 7361, 1813, 547, 7148, 327, 21978, 543, 2825, 2188, 269, 1323, 6514, 540, 2038, 4457, 2564, 5931, 2636, 721, 547, 6445, 538, 930, 540, 519, 10616, 543, 25559, 7805, 12886, 538, 519, 1699, 18840, 641, 31730, 527, 1670, 5638, 269, 1635, 10128, 519, 4681, 540, 12779, 641, 31730, 527, 1108, 609, 8978, 21849, 2959, 267, 649, 1397, 602, 15495, 723, 1044, 7133, 519, 2729, 540, 3425, 538, 3624, 2094, 3504, 2053, 269, 1284, 1865, 519, 4527, 543, 9860, 540, 1614, 2516, 540, 15495, 538, 3504, 3624, 281, 5180, 11988, 630, 2026, 8364, 529, 561, 3518, 878, 32403, 1070, 7489, 11634, 626, 657, 5448, 630, 19913, 626, 657, 5448, 795, 777, 4577, 636, 1070, 543, 11746, 11988, 630, 307, 320, 29646, 838, 12175, 1284, 849, 4983, 2009, 2188, 602, 23163, 519, 3262, 540, 891, 1439, 641, 31730, 2572, 1851, 2038, 3425, 269, 1703, 2421, 267, 713, 1957, 6663, 711, 1152, 547, 7866, 875, 3425, 723, 1044, 4299, 676, 1439, 641, 31730, 2572, 267, 855, 849, 547, 2232, 875, 2038, 2564, 1702, 2919, 547, 11883, 609, 519, 26220, 3676, 563, 1607, 2376, 729, 3370, 538, 519, 1739, 4760, 563, 11243, 281, 4139, 4760, 540, 12779, 31752, 454, 26123, 2030, 3788, 689, 15456, 4609, 267, 12779, 14535, 16652, 8658, 267, 543, 10786, 7559, 1683, 5140, 3255, 585, 23827, 908, 2030, 11976, 936, 2372, 15715, 776, 2053, 322, 2297, 1210, 3504, 5027, 2483, 11767, 532, 883, 519, 1158, 540, 3504, 5027, 1382, 568, 1875, 13700, 20190, 269, 5221, 519, 5027, 538, 1034, 3504, 15013, 568, 28811, 547, 930, 6708, 267, 519, 1761, 568, 1164, 585, 12526, 540, 3504, 5439, 267, 3504, 2483, 1607, 2376, 5359, 593, 2732, 13260, 538, 519, 13928, 517, 13474, 630, 300, 8932, 264, 998, 513, 6915, 268, 2117, 515, 1670, 1353, 540, 840, 5937, 690, 517, 543, 2038, 13928, 517, 1480, 3788, 630, 278, 628, 2540, 547, 476, 866, 628, 2540, 5084, 264, 689, 7104, 3276, 807, 2483, 763, 1353, 540, 3504, 5027, 568, 554, 2086, 1229, 676, 12159, 267, 4611, 538, 2110, 5027, 15998, 269, 25790, 538, 8047, 2409, 723, 1500, 621, 2009, 547, 23074, 2110, 5027, 15998, 267, 7551, 5355, 1569, 547, 2483, 6944, 8727, 689, 1312, 1459, 6377, 3425, 543, 2022, 332, 677, 655, 15451, 2959, 568, 513, 1455, 4161, 538, 3504, 5027, 2090, 269, 3371, 649, 1459, 513, 24194, 540, 2645, 547, 4217, 538, 519, 4879, 540, 12526, 4429, 25748, 621, 814, 1044, 4080, 602, 513, 5812, 6871, 540, 519, 2489, 2551, 2015, 2933, 547, 581, 7092, 689, 2042, 3361, 676, 10568, 543, 5924, 15347, 28453, 267, 1256, 1498, 4429, 1607, 1353, 6663, 547, 4983, 1369, 16512, 7648, 540, 1114, 8658, 630, 5503, 267, 2168, 267, 26447, 543, 28146, 264, 540, 3742, 1272, 6278, 267, 543, 875, 891, 7648, 3589, 513, 1305, 540, 4429, 21122, 531, 9525, 814, 1044, 3254, 547, 581, 513, 7347, 27667, 540, 1126, 2932, 2042, 630, 9573, 264, 543, 3075, 946, 1981, 538, 6689, 543, 18273, 267, 855, 5266, 2370, 3007, 814, 1044, 6976, 547, 2483, 9288, 2559, 3359, 540, 3984, 4761, 3210, 547, 29296, 1486, 9926, 10394, 786, 581, 11567, 538, 2550, 609, 6923, 9715, 3968, 14139, 513, 3099, 540, 538, 8686, 527, 549, 2553, 269, 5637, 1875, 6741, 322, 604, 2483, 26596, 7559, 26172, 9915, 313, 7420, 2060, 12877, 3234, 996, 8533, 6314, 641, 5268, 2643, 9471, 630, 303, 325, 9915, 313, 4211, 309, 659, 13979, 2567, 23632, 547, 14419, 8881, 543, 4886, 540, 13363, 633, 661, 24351, 2991, 22452, 547, 8307, 2776, 268, 2044, 628, 24945, 6776, 853, 1137, 540, 26736, 7116, 1756, 24415, 27457, 30946, 454, 25889, 281, 4658, 1205, 13663, 689, 17486, 689, 7783, 12073, 657, 269, 12824, 616, 4974, 513, 6669, 4640, 269, 1358, 786, 2285, 1004, 13663, 15495, 676, 7630, 532, 873, 609, 2661, 3468, 328, 2483, 21008, 2581, 540, 1585, 5626, 267, 25349, 267, 610, 2686, 2188, 538, 1931, 547, 2708, 519, 10486, 610, 4129, 885, 9648, 538, 1079, 610, 811, 1114, 4529, 610, 7239, 563, 288, 7209, 4524, 6353, 676, 513, 24245, 543, 7050, 991, 547, 581, 3144, 1416, 540, 602, 5012, 547, 22347, 1170, 633, 543, 804, 15781, 2623, 543, 12194, 540, 9668, 267, 4098, 676, 2038, 15296, 543, 1459, 538, 513, 3099, 540, 8658, 269, 630, 5804, 32663, 268, 4353, 267, 476, 1960, 275, 994, 288, 7209, 4524, 6825, 676, 513, 4806, 540, 16132, 540, 14375, 3347, 267, 1582, 268, 13548, 267, 543, 5540, 267, 543, 6825, 791, 6160, 2032, 4098, 676, 2038, 15296, 543, 1459, 538, 513, 3099, 540, 8658, 269, 630, 9169, 300, 268, 4353, 994, 2304, 3504, 10340, 267, 1634, 607, 2038, 607, 476, 1220, 271, 645, 5861, 269, 634, 14655, 7276, 729, 8547, 676, 7261, 6350, 519, 4279, 630, 20862, 268, 276, 3066, 645, 5861, 4700, 543, 585, 476, 1220, 1296, 267, 689, 476, 20862, 547, 476, 28664, 645, 5861, 1421, 519, 6431, 2103, 12199, 519, 3504, 1158, 689, 3127, 547, 5527, 269, 634, 8513, 7178, 540, 3127, 729, 1572, 6431, 529, 676, 519, 16380, 945, 2663, 1572, 519, 3003, 10504, 30111, 269, 769, 476, 28664, 645, 5861, 269, 519, 14655, 10617, 1996, 519, 16380, 8694, 29070, 569, 896, 519, 4831, 3430, 2931, 676, 12138, 519, 4279, 269, 634, 2012, 30111, 538, 2413, 2053, 585, 519, 2413, 2197, 729, 4957, 547, 9459, 538, 476, 4350, 276, 269, 630, 5804, 28732, 781, 1715, 2983, 7240, 9218, 267, 476, 2735, 279, 267, 533, 276, 5379, 1299, 1306, 574, 990, 267, 9293, 593, 519, 10934, 267, 476, 3422, 273, 267, 533, 12293, 994, 19091, 9678, 689, 15455, 610, 824, 3504, 15013, 269, 0, 763, 4199, 814, 1044, 3773, 547, 707, 4015, 454, 1607, 1647, 10768, 684, 1640, 1164, 1153, 1377, 2534, 3340, 1053, 547, 2681, 6991, 543, 2992, 2032, 16986, 2592, 689, 519, 1984, 9014, 5951, 6531, 16986, 630, 12613, 10135, 264, 538, 20274, 543, 547, 4612, 741, 2934, 1519, 6531, 11098, 543, 4463, 269, 634, 3635, 568, 851, 540, 519, 27321, 10439, 1436, 14635, 630, 16787, 290, 1070, 799, 6212, 593, 1239, 689, 519, 27321, 24658, 20970, 630, 2752, 300, 264, 1982, 781, 8828, 4279, 26111, 13192, 543, 24658, 4530, 5523, 3135, 563, 1607, 4199, 814, 711, 2943, 1044, 12649, 563, 8253, 681, 730, 8616, 269, 0, 1103, 1034, 1004, 609, 3964, 1898, 13119, 267, 2799, 4187, 547, 1973, 2095, 630, 20135, 15672, 4187, 264, 6589, 585, 519, 1164, 2604, 1247, 13487, 3977, 3788, 3339, 269, 1703, 568, 2963, 602, 930, 7820, 1004, 609, 840, 30104, 11364, 610, 1412, 321, 4650, 1467, 13119, 262, 723, 1164, 13487, 3977, 267, 606, 11506, 2295, 2557, 543, 3339, 15672, 4187, 267, 17941, 5409, 7219, 2045, 8473, 1467, 13119, 269, 1452, 2043, 1020, 519, 6093, 2934, 540, 3964, 1898, 13119, 538, 2663, 1272, 607, 741, 13487, 3977, 8813, 543, 15672, 4187, 14380, 609, 2085, 269, 6787, 713, 4806, 568, 6093, 540, 782, 1004, 945, 6038, 1020, 13119, 568, 31713, 269, 634, 2799, 15672, 4187, 538, 3964, 13119, 568, 5631, 30289, 547, 7293, 32560, 540, 1507, 16209, 543, 12091, 2723, 525, 267, 4352, 513, 5786, 538, 519, 1297, 610, 5860, 540, 1698, 650, 2456, 949, 849, 3565, 563, 288, 3500, 2295, 2557, 630, 321, 2784, 344, 15258, 807, 264, 666, 6175, 519, 2179, 540, 1973, 29253, 676, 519, 2295, 269, 634, 16889, 2295, 2557, 585, 513, 2635, 2937, 568, 1063, 476, 2568, 543, 476, 1911, 20054, 26553, 1393, 269, 17659, 344, 15258, 807, 630, 6135, 532, 2295, 3928, 14887, 982, 476, 2568, 20054, 26553, 1393, 264, 1281, 711, 2141, 2014, 1970, 1973, 2604, 269, 769, 1249, 267, 930, 3810, 8036, 9845, 666, 723, 16889, 2295, 3928, 538, 519, 476, 2412, 338, 543, 476, 2004, 338, 630, 2041, 1846, 829, 8792, 264, 1510, 1022, 2589, 269, 634, 3500, 2295, 3928, 616, 15558, 676, 811, 3196, 995, 27373, 540, 519, 2295, 602, 6802, 811, 1973, 982, 538, 1875, 268, 987, 2280, 525, 269, 1717, 267, 538, 1082, 2550, 536, 2784, 344, 15258, 807, 666, 1291, 547, 1970, 1973, 2604, 267, 1769, 20243, 1145, 267, 21994, 267, 543, 1256, 535, 31021, 563, 11947, 1973, 2604, 630, 1721, 1383, 267, 476, 5197, 270, 8099, 610, 2362, 264, 949, 5815, 606, 6595, 3510, 269, 1403, 713, 1164, 1973, 2604, 568, 2404, 609, 9221, 1928, 267, 26032, 540, 7362, 267, 15677, 267, 21994, 267, 610, 1394, 610, 14159, 1928, 267, 3343, 2564, 1416, 5612, 269, 1403, 596, 616, 7680, 1100, 2404, 2589, 609, 513, 1164, 1973, 2604, 2542, 971, 607, 713, 267, 556, 27902, 621, 1586, 1369, 513, 1906, 3764, 543, 3346, 707, 4387, 610, 979, 547, 606, 6595, 4055, 952, 621, 568, 1869, 1164, 563, 23005, 1456, 519, 3339, 1973, 2604, 2039, 538, 1453, 568, 513, 2370, 7294, 267, 543, 621, 782, 5673, 593, 519, 2450, 543, 2085, 540, 519, 1126, 269, 2290, 4341, 540, 14853, 602, 7189, 946, 547, 3313, 22680, 13542, 538, 1453, 568, 602, 267, 513, 1126, 568, 2808, 547, 581, 7092, 689, 2776, 30104, 11364, 269, 1403, 646, 24172, 814, 513, 1973, 2604, 2362, 982, 602, 540, 476, 3445, 260, 540, 519, 1453, 540, 519, 1482, 2085, 543, 2450, 269, 634, 1126, 568, 1767, 547, 723, 13119, 952, 646, 24172, 814, 513, 1973, 2604, 2362, 982, 602, 540, 476, 4817, 260, 540, 519, 1453, 540, 519, 1482, 2085, 543, 2450, 563, 288, 1268, 9846, 6029, 1973, 2604, 2362, 982, 476, 9610, 270, 3445, 936, 1896, 13220, 568, 2808, 547, 723, 13119, 269, 24930, 18973, 891, 1004, 547, 1118, 2500, 6197, 2242, 547, 948, 2539, 741, 1973, 2604, 267, 971, 607, 4509, 513, 2635, 2597, 267, 1519, 3635, 538, 741, 3232, 6296, 267, 12145, 6070, 543, 4568, 6981, 267, 543, 29655, 7296, 269, 634, 7189, 786, 849, 4363, 6646, 585, 13119, 4470, 593, 875, 1454, 2362, 519, 22680, 568, 607, 3379, 547, 519, 3339, 1973, 2604, 2039, 543, 1022, 824, 1072, 2042, 602, 519, 3461, 8188, 563, 763, 4681, 1611, 602, 606, 3606, 476, 1691, 2600, 540, 772, 2529, 269, 4079, 267, 610, 827, 476, 1789, 2929, 1004, 267, 786, 1631, 581, 8995, 607, 2348, 1164, 1973, 2604, 267, 3379, 609, 519, 1297, 8995, 1354, 519, 1007, 4808, 269, 901, 786, 3142, 519, 2698, 6871, 540, 772, 2529, 269, 4079, 609, 1164, 1973, 2604, 547, 476, 5379, 2600, 267, 909, 689, 476, 3953, 2600, 5892, 269, 1496, 280, 1715, 18467, 547, 5901, 2659, 9839, 13245, 2639, 20181, 1973, 2604, 1813, 547, 8401, 1062, 3441, 630, 20123, 2118, 1062, 693, 15577, 609, 9647, 739, 1738, 5492, 3290, 1040, 4746, 1572, 590, 1506, 5937, 571, 3455, 6794, 267, 713, 4686, 4524, 3123, 11636, 3441, 547, 519, 8238, 5669, 8401, 1062, 267, 799, 8060, 32246, 3252, 971, 607, 1973, 2604, 267, 2295, 2557, 267, 7244, 543, 12536, 269, 898, 781, 2404, 609, 2348, 1360, 1164, 1973, 2604, 1247, 14084, 1524, 563, 10454, 6286, 543, 1761, 2640, 540, 971, 8902, 19824, 1223, 581, 1390, 267, 3226, 2094, 827, 476, 2420, 260, 540, 519, 2937, 2551, 8813, 883, 519, 840, 1506, 13630, 2400, 7121, 2437, 3081, 932, 984, 534, 1014, 267, 945, 568, 849, 632, 534, 540, 519, 11785, 2160, 3427, 540, 6925, 269, 834, 1103, 1249, 267, 519, 1973, 2604, 2360, 540, 2597, 5786, 610, 10073, 540, 519, 667, 23808, 4189, 1544, 666, 581, 13380, 547, 1346, 6913, 609, 1022, 2582, 1973, 2604, 6646, 4799, 272, 269, 24517, 3433, 593, 3536, 602, 2539, 1973, 2604, 269, 590, 1872, 776, 267, 9268, 3536, 2270, 6070, 267, 4006, 267, 8697, 9600, 267, 543, 1426, 22740, 8481, 899, 15347, 602, 3565, 547, 610, 22652, 1164, 1973, 2604, 269, 1744, 14823, 547, 513, 2898, 267, 796, 15263, 539, 3536, 2732, 666, 13497, 1764, 707, 1973, 2604, 269, 3509, 2898, 267, 796, 15263, 539, 3536, 616, 3638, 538, 11379, 267, 513, 7777, 602, 7028, 2635, 1973, 2604, 269, 2368, 1382, 2982, 602, 1932, 1454, 9770, 543, 1970, 5666, 540, 11379, 1107, 666, 3565, 547, 1164, 1973, 2604, 269, 3194, 2982, 1004, 609, 1164, 1973, 2604, 666, 4324, 689, 2799, 11379, 538, 3536, 1519, 25636, 267, 22156, 267, 3552, 2275, 4381, 13687, 267, 543, 6653, 12277, 563, 2690, 513, 3339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2171, 2141, 1205, 513, 1483, 3529, 543, 607, 1454, 607, 594, 1131, 2648, 547, 1205, 513, 968, 331, 633, 892, 3529, 543, 2030, 621, 269, 594, 1810, 1406, 1589, 789, 1131, 1332, 602, 1434, 538, 3162, 8419, 563, 4913, 267, 649, 2141, 22120, 938, 3529, 269, 30586, 938, 4884, 814, 513, 10664, 14903, 602, 2501, 676, 593, 774, 2720, 17058, 543, 26717, 909, 1022, 16719, 547, 22120, 269, 9578, 594, 723, 2938, 873, 2285, 513, 1259, 1863, 22890, 538, 5385, 585, 513, 3529, 563, 3383, 649, 1951, 13949, 938, 3529, 856, 9522, 697, 585, 519, 20203, 812, 267, 1134, 519, 22120, 812, 256, 594, 10443, 856, 713, 6640, 543, 3893, 1864, 538, 2962, 454, 296, 1336, 713, 1344, 593, 3047, 26605, 563, 21698, 19464, 568, 519, 2241, 957, 540, 9657, 707, 8285, 3529, 267, 2864, 982, 18530, 621, 2476, 267, 693, 519, 1439, 540, 519, 4005, 269, 1635, 3257, 865, 267, 596, 8831, 707, 8285, 3529, 779, 32636, 676, 3850, 621, 547, 581, 5828, 883, 1945, 3116, 563, 3725, 7094, 539, 4054, 616, 1034, 4122, 1031, 585, 22890, 267, 11761, 4027, 267, 7226, 5137, 543, 32132, 32278, 269, 1717, 267, 519, 7399, 1810, 1406, 1439, 972, 269, 5272, 1032, 2950, 2066, 519, 2197, 616, 4466, 1007, 2081, 547, 946, 3529, 19464, 585, 4357, 3785, 267, 607, 1134, 563, 1103, 1840, 547, 519, 15682, 267, 519, 10326, 12860, 5358, 814, 24574, 1229, 609, 2101, 21625, 971, 607, 9546, 27926, 543, 5851, 3493, 582, 607, 1134, 607, 1082, 3529, 11396, 602, 1489, 4264, 2853, 602, 1118, 741, 4054, 13476, 7874, 563, 6546, 338, 685, 320, 15813, 256, 1411, 666, 1491, 707, 3529, 547, 9546, 27926, 610, 5851, 3493, 582, 543, 789, 786, 3529, 12860, 585, 596, 2336, 3383, 267, 798, 596, 3529, 12860, 286, 0, 18183, 25005, 919, 941, 2656, 547, 4063, 19320, 1063, 476, 10082, 277, 543, 476, 5908, 272, 269, 1530, 20896, 267, 1767, 16962, 16026, 267, 968, 650, 755, 6233, 519, 1977, 2856, 602, 2229, 26520, 593, 519, 9844, 540, 519, 18170, 1848, 634, 4077, 31760, 11545, 21676, 8175, 11329, 856, 602, 267, 968, 2171, 616, 8165, 607, 938, 18971, 10692, 267, 711, 585, 513, 1106, 540, 2229, 610, 585, 8513, 267, 855, 585, 519, 29039, 543, 1898, 2609, 540, 1582, 3766, 17922, 543, 7115, 1848, 4813, 518, 9769, 626, 18148, 674, 269, 31473, 6450, 4157, 539, 519, 12493, 12512, 585, 968, 339, 11538, 547, 9258, 519, 3741, 9307, 538, 519, 1977, 16672, 540, 14412, 3034, 30875, 7033, 16967, 779, 6965, 12236, 1864, 519, 865, 321, 686, 21103, 968, 17442, 675, 622, 540, 519, 28583, 2329, 2223, 855, 646, 849, 9863, 5128, 513, 22064, 5856, 540, 18340, 607, 13930, 9375, 540, 519, 12052, 11545, 3162, 8349, 15687, 269, 769, 513, 5147, 476, 5908, 275, 21107, 267, 7033, 16967, 26845, 1540, 602, 14412, 4303, 729, 1100, 3476, 4767, 538, 519, 3162, 563, 2108, 2691, 519, 942, 543, 938, 1797, 11863, 267, 649, 4927, 581, 19914, 547, 1294, 17105, 267, 609, 1169, 2132, 540, 519, 8317, 267, 519, 13755, 18394, 543, 556, 14765, 545, 902, 609, 799, 621, 1031, 547, 581, 9976, 267, 543, 649, 4927, 1224, 267, 609, 15991, 1447, 12257, 982, 538, 519, 4005, 540, 938, 7911, 3125, 267, 519, 5432, 855, 2479, 4195, 18408, 3617, 547, 519, 1554, 2854, 676, 519, 1148, 540, 519, 7510, 4710, 1013, 626, 538, 5022, 540, 900, 14283, 543, 6309, 5459, 1996, 519, 546, 23677, 10543, 6607, 26612, 8616, 1247, 649, 12167, 519, 8661, 540, 519, 19549, 676, 6000, 267, 649, 1810, 1406, 917, 1018, 1318, 519, 25463, 651, 525, 723, 547, 2543, 621, 609, 899, 2463, 26612, 898, 568, 835, 540, 519, 1034, 7415, 15997, 540, 741, 2498, 1258, 6670, 607, 513, 4182, 267, 602, 789, 786, 546, 732, 547, 1491, 519, 2012, 540, 602, 1554, 538, 642, 664, 269, 634, 791, 28619, 540, 519, 3364, 3592, 20546, 525, 3661, 267, 855, 621, 568, 513, 4062, 609, 519, 12050, 3834, 4531, 19192, 540, 513, 1004, 945, 2099, 2933, 607, 519, 24960, 1235, 540, 519, 1158, 267, 1247, 789, 616, 7722, 538, 513, 5880, 1228, 540, 608, 3410, 1588, 1996, 1776, 1848, 0, 263, 2750, 1061, 1141, 6382, 7074, 267, 782, 12383, 538, 713, 2022, 616, 9168, 689, 513, 2582, 8331, 3239, 8094, 763, 3239, 594, 22434, 585, 1250, 2123, 543, 4928, 946, 568, 519, 476, 278, 269, 3953, 19251, 1164, 6571, 835, 267, 2139, 1934, 269, 898, 779, 7899, 2462, 585, 782, 5686, 540, 1187, 3408, 267, 543, 12217, 909, 1134, 896, 2789, 18186, 4040, 15564, 269, 634, 2592, 538, 713, 3296, 616, 3274, 5186, 5529, 13980, 540, 602, 476, 278, 269, 3953, 19251, 3312, 563, 2791, 666, 1205, 4503, 533, 3183, 1472, 538, 519, 3239, 269, 3371, 616, 930, 540, 1250, 5172, 2694, 630, 10472, 10543, 267, 693, 2547, 2187, 763, 6960, 6908, 619, 540, 3154, 543, 7452, 4440, 616, 1373, 14593, 2476, 689, 20097, 540, 5182, 5250, 2282, 741, 9843, 676, 606, 7920, 856, 6503, 540, 5982, 543, 267, 7654, 267, 24974, 2842, 689, 661, 3279, 2961, 2088, 324, 267, 513, 7372, 267, 18633, 5182, 547, 741, 5580, 268, 3847, 538, 713, 2070, 269, 634, 6908, 619, 267, 610, 968, 18339, 1513, 892, 607, 789, 2461, 1572, 267, 616, 1896, 1769, 1296, 1279, 269, 594, 1289, 519, 835, 693, 519, 1318, 7498, 2507, 519, 968, 306, 3966, 1408, 3026, 321, 3121, 2223, 1317, 621, 12217, 513, 1978, 11696, 28917, 547, 1250, 2370, 2915, 267, 21877, 267, 538, 9043, 563, 292, 3279, 2961, 2088, 324, 3294, 7498, 2507, 568, 693, 519, 2295, 540, 519, 6505, 6531, 538, 519, 4099, 540, 713, 24680, 269, 898, 568, 513, 4583, 5182, 547, 28936, 903, 27913, 267, 606, 12150, 4756, 267, 5409, 331, 6058, 748, 267, 543, 4440, 1175, 827, 607, 7372, 607, 513, 5182, 666, 581, 1107, 538, 3069, 267, 827, 513, 4627, 2053, 519, 2527, 540, 938, 6129, 269, 634, 1079, 6505, 10981, 525, 540, 3154, 2282, 519, 4099, 540, 713, 24680, 616, 2933, 10704, 593, 519, 5182, 661, 3279, 2961, 2088, 324, 267, 543, 941, 4440, 30275, 539, 1282, 513, 1279, 968, 719, 10767, 560, 892, 540, 24788, 766, 811, 982, 513, 4627, 1296, 3516, 269, 634, 1686, 540, 661, 3279, 2961, 2088, 324, 779, 21386, 568, 606, 4277, 835, 267, 23182, 22281, 539, 538, 922, 7127, 538, 519, 9006, 30514, 630, 663, 7882, 1054, 264, 590, 3633, 306, 17651, 3135, 563, 292, 3279, 2961, 2088, 324, 568, 865, 7372, 602, 621, 666, 1405, 581, 1360, 2025, 267, 5266, 6340, 267, 5310, 1152, 513, 1906, 2929, 1296, 269, 630, 5978, 6129, 267, 585, 4334, 267, 814, 11478, 585, 5111, 2947, 8536, 2929, 1296, 4700, 634, 2961, 2088, 3026, 321, 3121, 1858, 568, 538, 513, 18700, 6186, 540, 519, 27305, 10158, 1175, 513, 2370, 6251, 547, 519, 4099, 540, 519, 30982, 982, 649, 616, 267, 543, 922, 26195, 597, 976, 4440, 1491, 827, 476, 1220, 2929, 1296, 547, 10739, 1472, 519, 4099, 540, 519, 30982, 2899, 1107, 865, 519, 2898, 3148, 3254, 538, 519, 26931, 16683, 4605, 18387, 1406, 6410, 1360, 2484, 267, 5266, 6340, 267, 2094, 661, 3279, 2961, 2088, 324, 4646, 563, 2005, 568, 678, 1057, 609, 24974, 19920, 543, 9279, 9398, 267, 1519, 7498, 2507, 519, 5182, 12440, 2558, 636, 16980, 476, 1691, 799, 267, 538, 2490, 267, 2882, 606, 7920, 569, 3109, 804, 2794, 540, 7452, 344, 1570, 267, 1454, 1447, 982, 513, 1769, 1032, 2066, 269, 901, 968, 289, 758, 3794, 984, 2544, 892, 630, 520, 5580, 4099, 540, 713, 24680, 7406, 264, 4440, 3568, 513, 8108, 5182, 610, 6801, 1107, 2470, 695, 709, 1091, 519, 8545, 5933, 540, 6801, 685, 5250, 538, 513, 695, 9613, 540, 16434, 344, 563, 23114, 11735, 281, 594, 1745, 513, 2370, 3787, 540, 513, 4276, 609, 2558, 636, 16980, 476, 1691, 543, 922, 645, 758, 3794, 984, 2544, 538, 1018, 594, 7058, 568, 513, 3787, 540, 606, 2025, 268, 10458, 880, 1259, 269, 968, 307, 5300, 16980, 892, 729, 7917, 2558, 636, 16980, 267, 513, 18230, 31485, 945, 729, 513, 22082, 11001, 593, 519, 3154, 543, 7452, 540, 519, 27305, 10158, 538, 519, 1647, 851, 540, 519, 2063, 2540, 269, 1261, 543, 1010, 5067, 2987, 25237, 267, 29733, 1284, 11232, 267, 5206, 835, 540, 519, 1034, 8037, 4704, 1568, 538, 4571, 268, 736, 628, 2540, 28936, 12695, 267, 18926, 18395, 1107, 543, 594, 729, 929, 633, 548, 3022, 547, 1491, 6030, 689, 3220, 269, 1284, 11232, 538, 10927, 1153, 269, 645, 758, 3794, 984, 2737, 616, 3957, 1310, 19258, 645, 758, 267, 1776, 4571, 268, 736, 628, 2540, 31485, 267, 945, 630, 5976, 1010, 7385, 2398, 4593, 8759, 264, 3576, 942, 689, 1010, 1382, 547, 2328, 31369, 2835, 827, 17651, 585, 1762, 3988, 269, 4256, 634, 27305, 10158, 568, 835, 540, 1079, 2835, 602, 594, 1589, 1305, 803, 593, 519, 4155, 547, 4742, 606, 31485, 1107, 543, 594, 6557, 15983, 711, 4805, 538, 602, 563, 9989, 621, 2731, 2560, 888, 288, 1455, 543, 24669, 2243, 594, 1205, 689, 1053, 630, 663, 1866, 264, 950, 594, 1397, 873, 519, 26931, 16683, 4605, 540, 519, 2961, 2088, 3026, 321, 3121, 568, 267, 968, 9989, 621, 2731, 1413, 899, 602, 9495, 3733, 2626, 568, 2141, 267, 968, 6343, 798, 596, 1611, 676, 2048, 516, 958, 685, 18313, 2252, 835, 7182, 13951, 547, 519, 4617, 4064, 540, 3425, 267, 519, 2626, 568, 968, 7224, 267, 602, 779, 711, 1018, 621, 5654, 899, 693, 782, 1848, 3371, 616, 513, 1906, 3268, 547, 1018, 621, 1131, 1413, 899, 609, 1480, 4064, 912, 21413, 513, 16263, 267, 519, 6429, 1131, 581, 4130, 630, 8117, 711, 513, 2898, 2603, 4700, 1403, 596, 1820, 856, 519, 4605, 693, 519, 1283, 540, 713, 5816, 7127, 865, 602, 621, 779, 4557, 6279, 2066, 543, 1287, 2070, 602, 1820, 719, 689, 513, 3845, 540, 827, 15823, 18126, 267, 602, 1131, 581, 827, 1318, 563, 763, 25862, 630, 10233, 1606, 14819, 2281, 264, 538, 519, 1427, 21590, 540, 938, 4064, 616, 711, 6213, 2614, 547, 581, 15427, 676, 519, 4617, 1769, 540, 519, 683, 321, 3121, 779, 16657, 267, 865, 1900, 476, 273, 568, 547, 4894, 782, 2681, 630, 893, 3239, 11941, 2944, 1210, 700, 268, 8698, 1160, 2187, 5978, 4064, 7960, 547, 1294, 538, 513, 1360, 6505, 1604, 269, 634, 3154, 538, 519, 2961, 2088, 3026, 321, 3121, 568, 25861, 267, 865, 649, 8910, 4440, 2731, 1294, 1945, 899, 713, 912, 3383, 267, 1100, 267, 519, 16683, 3239, 568, 711, 1018, 519, 2961, 2088, 3026, 321, 3121, 3148, 1131, 1413, 899, 547, 7919, 609, 4064, 899, 23600, 4534, 543, 554, 4150, 1663, 26400, 585, 602, 269, 634, 3119, 3483, 540, 1034, 24666, 24985, 568, 547, 1683, 519, 6505, 652, 2009, 2592, 540, 25861, 1919, 267, 865, 267, 538, 513, 1259, 267, 519, 3119, 3483, 540, 606, 24666, 16263, 568, 547, 1397, 721, 1018, 1919, 1810, 1406, 1413, 899, 256, 769, 1840, 267, 519, 4778, 540, 519, 16683, 3239, 616, 7301, 630, 8117, 13181, 264, 607, 1134, 269, 16103, 941, 3144, 693, 519, 31762, 549, 24729, 23383, 3955, 26410, 25076, 538, 454, 3383, 267, 1018, 1131, 621, 2731, 1413, 899, 547, 581, 538, 519, 22984, 540, 513, 18700, 6186, 540, 513, 9649, 14925, 267, 11303, 676, 5182, 13421, 543, 683, 12712, 2801, 286, 2334, 779, 2653, 547, 1265, 856, 281, 979, 3544, 543, 1413, 909, 267, 1317, 602, 779, 1141, 649, 2661, 269, 634, 2070, 689, 938, 4541, 1107, 952, 649, 1491, 1416, 547, 979, 547, 513, 1360, 4158, 267, 2312, 1747, 543, 1450, 938, 4064, 519, 942, 547, 3082, 547, 519, 4158, 1107, 568, 607, 31417, 607, 4376, 538, 513, 6723, 12359, 553, 10060, 12668, 4670, 563, 257, 5591, 16263, 269, 3143, 10822, 22811, 338, 4799, 296, 729, 929, 633, 548, 3022, 547, 2911, 547, 19258, 645, 758, 1896, 2053, 538, 519, 3735, 476, 3422, 271, 779, 543, 2038, 2048, 3583, 779, 630, 515, 5293, 2476, 538, 476, 2735, 274, 1070, 543, 835, 6643, 594, 3314, 3226, 12667, 569, 3238, 1010, 6609, 540, 519, 27305, 10158, 607, 2938, 689, 519, 8828, 25955, 267, 689, 799, 519, 26424, 2961, 2088, 666, 581, 2938, 267, 2059, 609, 922, 3226, 3638, 1858, 540, 519, 27305, 10158, 269, 968, 5591, 16263, 2223, 646, 1767, 267, 968, 7224, 10822, 22811, 338, 892, 616, 2877, 547, 581, 1659, 539, 547, 519, 4295, 676, 519, 14734, 17965, 540, 519, 14925, 607, 922, 15999, 2895, 21269, 689, 16880, 547, 16880, 538, 3162, 4000, 610, 5245, 267, 2523, 538, 4989 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2348, 1447, 1198, 593, 3002, 13438, 538, 15990, 269, 901, 15320, 689, 1018, 814, 1044, 2938, 538, 12170, 9263, 24595, 3332, 267, 799, 814, 11130, 585, 519, 2956, 540, 971, 2188, 630, 324, 3052, 269, 18961, 1696, 620, 269, 476, 1001, 272, 282, 15651, 543, 6931, 476, 1001, 276, 282, 1744, 8811, 1696, 620, 269, 476, 1708, 273, 1040, 21661, 519, 1367, 10526, 267, 519, 3310, 540, 1377, 540, 7589, 538, 2146, 3375, 6194, 267, 15029, 19486, 3810, 538, 519, 3803, 10319, 12204, 267, 729, 513, 1880, 2707, 540, 18312, 6644, 563, 763, 5266, 1164, 10862, 540, 2085, 543, 1072, 4567, 538, 938, 1627, 4149, 2176, 1522, 2992, 519, 1297, 540, 1857, 1072, 4966, 3238, 538, 519, 1184, 269, 17502, 1470, 20300, 2188, 267, 971, 607, 4008, 267, 5198, 267, 2069, 267, 543, 4747, 949, 723, 1044, 8655, 2362, 10862, 952, 4966, 689, 513, 9962, 2039, 540, 10459, 267, 4747, 4763, 267, 2404, 1382, 2833, 610, 6805, 2516, 1185, 15548, 538, 519, 11925, 269, 901, 568, 8037, 607, 267, 538, 606, 4274, 19310, 2787, 1184, 585, 3002, 13438, 538, 15990, 1759, 593, 5619, 2861, 2409, 267, 1744, 8811, 543, 631, 629, 517, 630, 1708, 272, 264, 13974, 1336, 4966, 4758, 4008, 543, 6805, 4567, 1970, 10862, 267, 5103, 9263, 24595, 2963, 689, 15990, 543, 18368, 11021, 891, 2188, 666, 581, 1271, 10256, 540, 13438, 547, 2067, 10898, 630, 324, 3052, 269, 29399, 476, 1001, 279, 1040, 1284, 1631, 2490, 547, 519, 27696, 6286, 540, 891, 4681, 563, 277, 269, 273, 13419, 3293, 18801, 894, 13438, 4879, 281, 18759, 454, 10907, 1484, 782, 2516, 267, 972, 729, 3622, 1434, 11007, 1063, 519, 1611, 31213, 5171, 1500, 538, 741, 1378, 1627, 4149, 2176, 5645, 856, 10446, 693, 519, 1376, 540, 519, 13186, 267, 543, 519, 3803, 31213, 6603, 18801, 8271, 676, 519, 2898, 1895, 2324, 1927, 269, 901, 6920, 602, 513, 10319, 543, 18801, 894, 20823, 3635, 949, 3132, 513, 3803, 13438, 4879, 602, 17618, 9356, 543, 21356, 519, 2407, 2039, 540, 10526, 543, 4274, 2478, 538, 519, 4055, 269, 13419, 3293, 4485, 547, 4274, 18064, 3130, 971, 607, 519, 10319, 1627, 4149, 677, 649, 723, 13890, 1934, 949, 8754, 979, 930, 1259, 547, 5466, 519, 6161, 540, 21546, 630, 1001, 275, 264, 827, 12886, 2469, 31250, 538, 13016, 4274, 4879, 5717, 267, 543, 519, 9962, 2798, 538, 519, 3332, 827, 1808, 2043, 610, 2950, 11851, 532, 19018, 622, 3310, 936, 2825, 3609, 585, 320, 630, 299, 334, 543, 16441, 476, 1001, 280, 1040, 3776, 1935, 949, 849, 6542, 538, 2259, 519, 1871, 540, 8470, 2818, 1101, 7900, 1367, 19310, 14591, 1354, 5717, 2253, 538, 519, 1259, 21546, 5267, 269, 11569, 267, 538, 938, 18801, 894, 5751, 267, 2348, 4966, 1685, 741, 1378, 1367, 19310, 14591, 25656, 5921, 789, 1185, 942, 1991, 547, 519, 30134, 618, 540, 4901, 547, 2015, 741, 1378, 4879, 267, 543, 941, 1287, 2111, 547, 3277, 547, 741, 1378, 10526, 543, 9794, 906, 547, 3391, 519, 4901, 563, 32701, 267, 15029, 519, 1016, 31228, 5717, 849, 8120, 10319, 12204, 602, 941, 17618, 5812, 609, 519, 1367, 10526, 676, 741, 5171, 267, 621, 568, 8037, 538, 1142, 2013, 602, 6898, 10916, 1164, 2157, 540, 24895, 1369, 519, 1016, 31228, 630, 548, 12069, 540, 7589, 543, 11361, 1004, 2713, 4805, 585, 6828, 476, 272, 282, 13834, 585, 6828, 476, 273, 264, 5833, 2901, 1360, 1164, 610, 1360, 1970, 8464, 538, 519, 10319, 4990, 269, 901, 949, 2992, 938, 8343, 602, 538, 519, 1016, 3766, 12952, 267, 799, 941, 1582, 268, 6716, 2358, 543, 711, 9244, 19658, 267, 835, 610, 1079, 8789, 2043, 941, 2111, 547, 20441, 519, 4901, 543, 1223, 3274, 2048, 339, 820, 5279, 685, 543, 6430, 519, 10862, 585, 6898, 1141, 972, 729, 1713, 24895, 269, 14484, 532, 519, 2070, 540, 681, 7564, 338, 7564, 333, 523, 1696, 620, 269, 630, 1001, 280, 264, 602, 519, 5188, 543, 1565, 1184, 1063, 4966, 949, 581, 607, 3407, 606, 6364, 540, 513, 10319, 13438, 11837, 2534, 607, 519, 3803, 4879, 3294, 267, 938, 7422, 3976, 1397, 519, 2956, 540, 2178, 1795, 10949, 547, 2327, 602, 835, 610, 1079, 4966, 798, 711, 20441, 513, 4901, 593, 10862, 2188, 267, 543, 602, 782, 5171, 616, 2111, 547, 3565, 543, 1451, 689, 1142, 824, 269, 14847, 550, 1795, 10949, 949, 581, 2523, 1271, 538, 4130, 2516, 267, 971, 607, 938, 1016, 3766, 12952, 267, 1141, 835, 610, 1079, 9739, 949, 1745, 811, 6899, 547, 20441, 563, 4263, 519, 1482, 942, 267, 2705, 267, 1256, 538, 513, 18801, 894, 3510, 606, 4274, 4879, 666, 1152, 581, 607, 2500, 607, 519, 4560, 540, 4274, 2478, 538, 519, 4055, 269, 1306, 1657, 267, 519, 1164, 3922, 5314, 540, 15295, 267, 8739, 20300, 543, 1072, 2188, 538, 938, 1627, 4149, 2176, 949, 2992, 519, 1297, 540, 1857, 1072, 543, 4683, 4058, 4966, 3238, 538, 519, 1184, 267, 543, 519, 2152, 602, 616, 2356, 3746, 2213, 538, 1382, 883, 3002, 9651, 538, 741, 1378, 10459, 269, 22353, 267, 1175, 607, 519, 2956, 540, 4763, 1369, 12504, 25700, 18064, 3130, 568, 4922, 18931, 267, 938, 4030, 1628, 593, 519, 25195, 540, 21662, 1696, 620, 630, 1708, 271, 264, 602, 3007, 11129, 547, 581, 6976, 547, 4763, 538, 30095, 4282, 267, 8739, 20300, 4567, 543, 1272, 1995, 540, 4966, 538, 18801, 894, 3157, 563, 5978, 3803, 6085, 12211, 547, 519, 1871, 540, 513, 11295, 18801, 894, 13438, 4879, 1184, 538, 10128, 2199, 543, 23913, 917, 1194, 2471, 540, 13438, 7258, 2930, 543, 3621, 9794, 906, 269, 808, 976, 5459, 543, 700, 1495, 326, 1066, 630, 1001, 276, 264, 723, 11130, 602, 18513, 24990, 267, 1072, 1416, 4600, 543, 4961, 2933, 949, 723, 3573, 1702, 540, 10256, 540, 3002, 13438, 538, 513, 1327, 1275, 267, 855, 602, 971, 1702, 10355, 814, 513, 1713, 3310, 593, 3609, 269, 6684, 267, 570, 675, 330, 6953, 1678, 1231, 1696, 620, 269, 630, 1708, 272, 264, 3180, 602, 1702, 540, 12725, 29003, 3002, 9542, 2994, 543, 13438, 10256, 949, 581, 4371, 538, 2757, 1702, 610, 538, 2048, 326, 9445, 3332, 16224, 3544, 519, 1560, 540, 9263, 24595, 3621, 2963, 593, 3002, 269, 901, 729, 7805, 538, 938, 1382, 1932, 269, 769, 519, 3318, 2875, 1895, 267, 585, 1383, 267, 17013, 4547, 538, 3318, 2833, 689, 741, 5107, 538, 2127, 971, 607, 519, 2022, 531, 3028, 547, 8044, 585, 519, 2956, 540, 6236, 9205, 4600, 538, 1840, 547, 1346, 538, 3119, 6080, 630, 31690, 543, 26960, 476, 1220, 280, 1040, 1548, 649, 723, 6836, 547, 6542, 538, 713, 1867, 568, 606, 1935, 602, 2636, 1114, 5686, 540, 4274, 1702, 1765, 523, 7609, 532, 1114, 4081, 10459, 267, 2259, 2861, 1702, 267, 3609, 6791, 267, 543, 2199, 543, 23913, 1702, 23121, 581, 1031, 547, 6218, 519, 3448, 4644, 540, 1114, 13438, 10256, 547, 2199, 8658, 267, 971, 607, 15990, 267, 1141, 972, 949, 581, 3908, 12725, 10391, 12170, 1382, 547, 4266, 563, 2026, 1134, 607, 1373, 513, 1382, 3635, 267, 11295, 18801, 894, 3157, 585, 12570, 3002, 13438, 949, 4061, 581, 3730, 585, 2199, 3375, 24237, 547, 2196, 607, 513, 1797, 540, 3384, 2963, 26455, 3609, 543, 4566, 585, 3002, 9651, 269, 1717, 621, 568, 1271, 602, 971, 5751, 630, 320, 264, 2270, 513, 1434, 4763, 540, 6791, 267, 1519, 2199, 1702, 543, 22993, 9706, 15462, 2861, 1702, 282, 630, 321, 264, 616, 1134, 19658, 547, 2327, 519, 3803, 4093, 2992, 519, 2039, 540, 10526, 538, 519, 4055, 282, 543, 630, 322, 264, 2628, 3007, 547, 519, 2127, 540, 6574, 24895, 1063, 4966, 607, 1134, 607, 519, 2127, 540, 1034, 6876, 593, 13438, 10256, 563, 1103, 713, 2930, 4063, 267, 649, 723, 8268, 519, 1761, 585, 519, 9542, 540, 11295, 19310, 2787, 2645, 971, 607, 1627, 5336, 1385, 1108, 547, 581, 1031, 538, 513, 18801, 894, 4259, 267, 998, 519, 2013, 540, 1514, 3002, 13438, 4879, 676, 4966, 538, 15990, 269, 1733, 12241, 4485, 971, 607, 1627, 5336, 1385, 1108, 616, 7363, 17298, 676, 2043, 543, 1287, 21845, 676, 3173, 547, 2697, 1455, 4798, 543, 2188, 267, 649, 723, 11130, 602, 12561, 519, 1935, 3144, 676, 19310, 2787, 2409, 538, 713, 1259, 666, 948, 547, 2497, 10319, 4274, 10526, 269, 769, 2490, 267, 519, 13972, 545, 2470, 540, 10319, 543, 18801, 894, 18570, 666, 5512, 8994, 1565, 543, 948, 547, 3914, 13618, 1851, 4966, 689, 1114, 30095, 13279, 269, 12833, 6295, 4966, 689, 3544, 540, 24243, 538, 513, 18801, 894, 1184, 540, 713, 2470, 849, 6087, 519, 1895, 547, 9260, 909, 4540, 2139, 2963, 538, 1769, 540, 2199, 543, 23913, 1702, 607, 1134, 607, 3621, 1702, 269, 16480, 267, 519, 2013, 540, 3002, 13438, 4879, 538, 15990, 849, 2982, 972, 568, 513, 991, 585, 5827, 1795, 10949, 547, 2327, 602, 782, 5171, 616, 2111, 547, 4497, 1369, 519, 13618, 20671, 1184, 267, 543, 602, 7110, 532, 11295, 18801, 894, 3157, 609, 1367, 19310, 14591, 949, 581, 1271, 538, 4543, 547, 2697, 12886, 610, 22195, 1369, 519, 3803, 13618, 2861, 4879, 563, 2690, 4128, 540, 1239, 4027, 543, 7834, 267, 519, 12170, 1239, 593, 799, 713, 2930, 4063, 568, 1759, 568, 711, 15597, 2139, 269, 1717, 267, 10257, 13668, 786, 581, 2808, 676, 519, 4589, 563, 289, 4141, 1188, 10458, 631, 630, 1001, 277, 264, 10289, 519, 1072, 2796, 281, 513, 12007, 1353, 540, 2199, 3002, 543, 2916, 1689, 9542, 538, 3567, 269, 2983, 334, 1721, 636, 476, 10463, 281, 272, 1700, 276, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 613, 334, 1721, 636, 269, 1001, 277, 269, 6860, 269, 24879, 454, 3528, 337, 928, 808, 267, 2549, 3691, 344, 595, 267, 5800, 9734, 595, 267, 10753, 589, 267, 4223, 1492, 9749, 570, 267, 22823, 667, 267, 5096, 2581, 589, 630, 1001, 277, 264, 16393, 4683, 3039, 532, 11574, 28180, 8143, 6528, 640, 286, 281, 634, 1909, 540, 7264, 685, 8741, 1431, 543, 7622, 2853, 269, 30287, 1763, 32731, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 279, 270, 14690, 279, 268, 280, 3953, 277, 270, 1556, 270, 280, 270, 271, 4817, 26522, 454, 10267, 978, 962, 307, 267, 25016, 590, 6717, 267, 670, 342, 836, 23404, 630, 1001, 280, 264, 1715, 1935, 547, 7114, 1697, 29676, 585, 513, 3002, 9963, 1062, 1210, 1072, 1981, 1213, 906, 269, 30287, 1763, 476, 10204, 281, 28434, 1700, 29580, 454, 2419, 2426, 808, 312, 267, 670, 25352, 962, 267, 15173, 962, 290, 267, 7754, 2473, 290, 267, 2871, 334, 962, 299, 267, 13690, 670, 630, 1220, 280, 264, 19264, 1304, 2837, 543, 9019, 281, 606, 3486, 1353, 538, 2185, 3854, 4872, 540, 5101, 5607, 269, 2233, 11192, 30287, 476, 2412, 279, 263, 273, 2567, 29496, 1700, 31256, 454, 30949, 540, 3798, 3000, 2023, 630, 1001, 279, 264, 7827, 585, 2916, 910, 3798, 3000, 2023, 17083, 269, 4179, 2517, 4178, 269, 539, 3000, 2023, 28022, 11305, 640, 14682, 17922, 19841, 16652, 14067, 1168, 13734, 270, 4219, 16519, 12641, 1493, 24737, 3000, 2023, 11546, 743, 9653, 454, 290, 13616, 20793, 267, 12891, 918, 291, 267, 2506, 5341, 11632, 630, 1001, 275, 264, 634, 2520, 13132, 540, 2146, 9568, 6043, 269, 3794, 984, 30287, 26284, 476, 3066, 281, 4792, 1700, 6507, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 3052, 5979, 523, 341, 15939, 269, 1001, 275, 269, 5400, 269, 22650, 454, 17445, 28672, 4937, 540, 20907, 267, 19098, 543, 10803, 630, 291, 16412, 3008, 264, 630, 1708, 272, 264, 476, 11820, 13127, 373, 368, 32512, 9463, 352, 9463, 488, 12916, 493, 14395, 483, 418, 503, 362, 418, 509, 354, 10254, 507, 27882, 354, 419, 369, 365, 420, 357, 486, 419, 369, 494, 31563, 418, 493, 494, 28884, 26166, 22909, 494, 269, 12872, 701, 328, 269, 12232, 281, 4179, 2517, 4178, 14714, 520, 10993, 6745, 342, 9706, 3016, 270, 10574, 270, 9340, 20969, 32542, 277, 309, 307, 276, 312, 307, 10976, 289, 15005, 21700, 476, 6349, 270, 5881, 270, 1708, 272, 454, 291, 4875, 681, 267, 10507, 732, 344, 589, 630, 1708, 271, 264, 15990, 538, 6422, 5912, 281, 4182, 2679, 543, 24339, 26494, 269, 2160, 540, 6115, 4964, 267, 22208, 454, 292, 6577, 590, 267, 667, 4689, 1091, 517, 589, 267, 21701, 717, 630, 1220, 276, 264, 13419, 1005, 1641, 8481, 286, 4635, 1627, 12191, 538, 1480, 11585, 269, 9351, 476, 4391, 263, 275, 2567, 31979, 1700, 32455, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 32434, 269, 15704, 276, 268, 5325, 277, 273, 269, 1220, 276, 269, 24879 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4296, 269, 634, 18307, 584, 268, 5719, 6441, 529, 2506, 334, 10202, 7902, 538, 476, 1220, 276, 267, 543, 849, 1634, 607, 519, 715, 7637, 13507, 563, 3674, 18307, 584, 632, 28988, 18086, 888, 5353, 1188, 1767, 1346, 3652, 3769, 32107, 10437, 609, 519, 7904, 584, 632, 561, 529, 607, 10751, 585, 4881, 2476, 269, 2560, 634, 1434, 3377, 568, 602, 1312, 12206, 20926, 538, 519, 13431, 299, 6874, 309, 1650, 1810, 1406, 2015, 519, 7904, 584, 11546, 2000, 529, 5176, 607, 18086, 607, 519, 20752, 9206, 269, 898, 779, 1869, 18086, 267, 855, 1175, 513, 2370, 3787, 267, 15151, 563, 3963, 568, 519, 18307, 584, 632, 28988, 18086, 888, 307, 592, 2033, 1686, 7548, 570, 2397, 23575, 332, 528, 5142, 1767, 519, 7904, 584, 632, 561, 529, 814, 5072, 538, 519, 3943, 4838, 543, 267, 2147, 547, 824, 6698, 267, 729, 1031, 607, 513, 1665, 540, 29686, 269, 968, 2005, 729, 513, 22266, 1259, 540, 1085, 18732, 2576, 543, 849, 7114, 2576, 607, 513, 1880, 8373, 20447, 2223, 23575, 332, 528, 5142, 1767, 563, 3963, 798, 476, 274, 21495, 2099, 4789, 888, 763, 1614, 21495, 616, 519, 30118, 540, 4789, 269, 2560, 898, 729, 3751, 8361, 4083, 945, 1101, 1031, 1614, 21495, 593, 513, 2699, 4282, 267, 4946, 513, 17794, 547, 5261, 519, 1230, 20960, 528, 779, 1079, 950, 646, 9310, 661, 32642, 540, 589, 10181, 12578, 267, 4440, 547, 2099, 1010, 7365, 883, 602, 1920, 563, 3963, 1281, 10430, 723, 513, 27033, 1941, 888, 3963, 568, 519, 27033, 1941, 10430, 779, 3084, 3662, 286, 2560, 2060, 922, 3043, 7504, 6438, 1560, 543, 2582, 3303, 16226, 18057, 267, 519, 27033, 1941, 568, 513, 3090, 540, 19454, 267, 26454, 543, 1379, 538, 22469, 13299, 269, 26499, 849, 6645, 602, 741, 28712, 666, 1625, 1518, 8914, 539, 1216, 267, 971, 568, 519, 4222, 540, 741, 7067, 1379, 563, 1432, 798, 519, 476, 274, 21495, 2099, 888, 763, 1614, 21495, 568, 519, 30118, 540, 519, 25624, 5948, 1107, 799, 1131, 723, 1185, 547, 2307, 585, 10479, 547, 946, 621, 1813, 547, 922, 10424, 7681, 269, 634, 3084, 2319, 814, 12816, 873, 593, 741, 25099, 1107, 4544, 593, 513, 3043, 4282, 1107, 2479, 2094, 519, 1101, 3486, 1996, 1107, 9811, 267, 621, 1185, 547, 581, 1107, 10430, 538, 476, 6942, 273, 563, 1432, 568, 519, 5289, 2495, 540, 519, 18307, 584, 632, 28988, 888, 30547, 540, 519, 18307, 584, 1546, 28988, 13507, 454, 763, 3090, 3294, 19752, 1272, 267, 21481, 267, 543, 17284, 1107, 1614, 1919, 602, 616, 1419, 2404, 609, 561, 25788, 538, 2489, 269, 18307, 584, 632, 561, 529, 15866, 1797, 19870, 267, 19454, 267, 543, 10100, 855, 568, 849, 1031, 538, 513, 3099, 540, 1114, 8658, 563, 1432, 568, 513, 7904, 584, 632, 561, 529, 6084, 3240, 512, 3089, 888, 763, 18307, 584, 632, 28988, 6084, 3240, 512, 3089, 568, 2966, 547, 4894, 1713, 4430, 2960, 689, 519, 3003, 4571, 7611, 269, 901, 5650, 5161, 540, 513, 8880, 1651, 1707, 2147, 547, 519, 2757, 6084, 3240, 512, 3089, 267, 607, 1134, 607, 606, 1651, 1707, 602, 8255, 19794, 909, 519, 1647, 540, 519, 7181, 563, 3963, 568, 519, 18307, 584, 632, 28988, 865, 2442, 888, 763, 7904, 584, 11546, 2000, 529, 814, 1044, 1031, 538, 519, 1200, 12245, 787, 540, 3875, 3864, 6082, 267, 855, 568, 3226, 2404, 609, 5333, 267, 16113, 1282, 922, 16313, 673, 1974, 7868, 7904, 584, 11546, 2000, 529, 2968, 968, 520, 835, 543, 519, 1482, 942, 267, 3909, 267, 2797, 267, 30552, 2880, 267, 7499, 267, 30118, 1738, 267, 543, 12572, 2223, 2523, 538, 3943, 1200, 12245, 787, 563, 1432, 568, 2340, 504, 506, 1572, 888, 293, 548, 584, 11546, 2000, 529, 267, 630, 23210, 281, 968, 331, 1176, 8768, 14615, 2073, 849, 25250, 7904, 584, 11546, 268, 569, 338, 267, 849, 1572, 8768, 11546, 268, 1663, 576, 267, 18935, 1242, 30118, 610, 3926, 1454, 1031, 538, 15022, 3512, 566, 543, 267, 3226, 267, 538, 1200, 12245, 787, 267, 1279, 2404, 609, 519, 3943, 13862, 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 ]
[ 0, 20055, 707, 1126, 32260, 1010, 18551, 1983, 676, 17656, 519, 2596, 18551, 4992, 609, 891, 476, 866, 2407, 12258, 528, 12125, 269, 3245, 24008, 543, 19283, 1218, 547, 2027, 18551, 4992, 267, 707, 1126, 786, 581, 2111, 547, 5659, 543, 1224, 2352, 1913, 1310, 17265, 891, 5595, 21758, 267, 19756, 3556, 18450, 12125, 269, 22291, 782, 519, 4992, 5189, 538, 519, 9978, 1912, 9582, 7335, 5358, 609, 5961, 540, 23319, 1913, 547, 948, 707, 1126, 1451, 519, 4992, 998, 7681, 269, 595, 27641, 1603, 5526, 593, 519, 9258, 2427, 540, 12125, 476, 272, 267, 476, 273, 267, 543, 476, 277, 1700, 1724, 269, 634, 476, 277, 10477, 2689, 12125, 11609, 609, 32620, 2831, 11753, 2147, 4992, 689, 1585, 12125, 269, 3962, 2689, 5750, 2882, 2259, 1913, 593, 519, 1394, 269, 6182, 269, 476, 272, 269, 0, 2791, 3112, 2328, 606, 1557, 8259, 596, 723, 606, 2856, 540, 1018, 547, 2328, 827, 269, 547, 1205, 513, 2631, 540, 875, 547, 2328, 1434, 3594, 593, 713, 1641, 267, 2070, 930, 5439, 540, 3370, 4574, 1354, 2870, 707, 1378, 7291, 269, 3594, 543, 5708, 593, 519, 4739, 3409, 538, 606, 1557, 540, 1603, 281, 689, 15854, 572, 5672, 629, 516, 281, 538, 22281, 532, 1010, 2123, 3460, 538, 4742, 513, 5856, 267, 610, 6202, 14219, 1235, 519, 5817, 16431, 1175, 4328, 1010, 3355, 24500, 585, 1603, 12354, 476, 1724, 267, 476, 1001, 271, 5788, 540, 1576, 267, 3259, 1557, 593, 1603, 543, 1826, 540, 5955, 4268, 1063, 1367, 21493, 543, 1063, 1557, 5835, 1603, 1957, 22347, 3827, 269, 1018, 568, 713, 286, 22073, 519, 4081, 1557, 282, 24152, 282, 4831, 30348, 282, 5758, 282, 1888, 1557, 593, 1603, 5220, 543, 1129, 14006, 532, 282, 1557, 593, 1603, 28006, 281, 15118, 476, 1626, 267, 25644, 547, 513, 2239, 1557, 476, 1708, 271, 5788, 585, 1383, 267, 3079, 540, 267, 968, 328, 1589, 621, 779, 7168, 21173, 3318, 1957, 1603, 2533, 875, 519, 7376, 1500, 519, 7206, 865, 2143, 2223, 2328, 267, 968, 1492, 7376, 1557, 593, 1603, 4063, 602, 596, 666, 946, 519, 1101, 1268, 543, 27373, 538, 1447, 6101, 3594, 267, 971, 476, 276, 5037, 1557, 2262, 1293, 607, 606, 2565, 3206, 11891, 17770, 7240, 17250, 610, 5784, 281, 1603, 568, 606, 4316, 547, 1491, 513, 2376, 2012, 538, 1557, 2973, 4062, 540, 1957, 543, 1711, 513, 2123, 20100, 269, 519, 2702, 547, 10891, 2093, 602, 596, 946, 538, 14335, 606, 1557, 786, 948, 596, 2328, 1870, 5022, 267, 2754, 1509, 657, 267, 705, 12646, 13274, 11181, 1603, 1957, 543, 6725, 2326, 585, 707, 15731, 543, 3732, 1382, 1788, 11556, 3906, 269, 5439, 269, 2328, 609, 15986, 1568, 11855, 10530, 6612, 543, 269, 1711, 606, 7291, 269, 0, 11073, 1467, 519, 1259, 540, 713, 7778, 547, 519, 3988, 269, 519, 5098, 3948, 786, 2047, 2626, 519, 1292, 2243, 15054, 676, 519, 1557, 267, 585, 1383, 267, 952, 519, 1557, 2243, 26612, 1514, 2923, 7270, 616, 930, 540, 519, 1382, 1957, 593, 2825, 2152, 1034, 2442, 20807, 338, 593, 519, 4950, 269, 1806, 540, 5098, 6898, 585, 18531, 519, 1383, 540, 3332, 2689, 585, 12031, 3948, 10388, 1957, 1383, 814, 5483, 519, 5467, 540, 519, 1888, 538, 2243, 268, 5626, 25711, 540, 1753, 5883, 620, 11533, 779, 9601, 267, 543, 1018, 519, 1957, 786, 1445, 593, 268, 1732, 1416, 585, 620, 11533, 779, 2068, 9601, 585, 13181, 18531, 281, 3207, 22975, 666, 1291, 547, 3978, 1072, 2042, 267, 30534, 1271, 1344, 267, 543, 786, 723, 513, 2942, 1764, 593, 519, 19773, 540, 1272, 269, 1806, 540, 5098, 6898, 585, 18531, 952, 596, 2461, 3168, 4346, 538, 1603, 585, 513, 1806, 540, 5098, 6898, 585, 18531, 2013, 540, 2328, 3932, 4845, 9735, 6075, 1489, 267, 723, 513, 1413, 693, 1175, 519, 1259, 544, 19376, 737, 832, 1568, 609, 741, 7218, 18531, 267, 476, 27088, 1913, 16220, 9168, 7103, 630, 326, 15879, 264, 616, 2813, 676, 1797, 540, 4719, 4702, 2852, 1557, 827, 1920, 2409, 269, 513, 14436, 1957, 267, 585, 1383, 267, 12134, 519, 875, 547, 2328, 1788, 1867, 5856, 547, 1831, 28479, 766, 5856, 960, 689, 4367, 585, 5068, 6391, 1557, 513, 1101, 16512, 1448, 540, 2070, 547, 12225, 1834, 519, 4555, 543, 4606, 646, 4810, 18051, 476, 1556, 267, 6644, 1557, 476, 1408, 1206, 4305, 476, 273, 476, 1001, 276, 5788, 1434, 5098, 6898, 5581, 707, 2489, 2856, 543, 1217, 707, 5304, 827, 707, 1292, 1434, 16056, 585, 2852, 2875, 2798, 269, 519, 4367, 1058, 849, 1331, 835, 610, 1079, 6898, 24152, 1806, 540, 5098, 6898, 585, 18531, 519, 1292, 1448, 269, 835, 4845, 28388, 519, 1292, 2856, 540, 707, 4633, 1808, 5301, 281, 1383, 540, 5098, 3948, 585, 13181, 4633, 1107, 476, 6078, 1040, 2956, 540, 3207, 5098, 270, 25218, 2856, 15545, 0, 294, 516, 559, 1157, 6807, 267, 12309, 5013, 585, 3214, 454, 18871, 7185, 17393, 793, 730, 1747, 630, 7374, 303, 264, 1299, 1133, 4532, 2734, 730, 2146, 2008, 14294, 593, 631, 268, 2420, 454, 19613, 540, 13983, 559, 1157, 6807, 1369, 2274, 601, 534, 879, 6019, 267, 12309, 454, 30106, 12495, 1222, 1475, 14976, 332, 6229, 25943, 24104, 1222, 2008, 27242, 11192, 1475, 277, 269, 280, 13483, 11465, 630, 1704, 269, 279, 5998, 273, 10245, 27242, 8092, 1475, 275, 269, 276, 13483, 11465, 630, 1556, 269, 278, 5998, 273, 10245, 27242, 4826, 1475, 273, 269, 275, 13483, 11465, 630, 277, 269, 273, 5998, 273, 10245, 347, 292, 4582, 566, 1475, 6812, 275, 10264, 630, 9965, 544, 10245, 27242, 25670, 1475, 27183, 269, 275, 4882, 336, 11465, 630, 13199, 269, 275, 270, 14790, 273, 10245, 347, 11742, 7997, 1475, 292, 6141, 630, 12239, 264, 630, 7473, 290, 268, 276, 10245, 27242, 14400, 630, 291, 4306, 10534, 3633, 307, 630, 7473, 290, 268, 275, 10245, 347, 313, 7709, 3009, 1475, 5392, 277, 10019, 630, 9199, 2091, 4975, 10245, 347, 294, 301, 3041, 4183, 9517, 1475, 277, 2767, 30329, 2008, 294, 516, 559, 1157, 6807, 568, 606, 796, 4532, 2734, 730, 2146, 538, 2274, 601, 534, 879, 6019, 538, 519, 772, 2529, 269, 1533, 540, 12309, 269, 898, 568, 513, 14829, 17393, 793, 730, 1747, 630, 7374, 303, 264, 1031, 585, 8579, 5301, 543, 814, 1100, 3656, 7555, 607, 513, 29109, 269, 634, 2551, 729, 476, 272, 267, 25870, 693, 519, 476, 1220, 271, 14829, 563, 763, 1858, 568, 593, 9835, 3004, 2091, 7345, 1175, 5087, 540, 3004, 2091, 4975, 543, 568, 513, 851, 540, 602, 2749, 781, 4683, 1858, 269, 634, 3004, 2091, 4975, 23320, 568, 4092, 538, 13983, 559, 1157, 6807, 269, 634, 7131, 303, 2882, 513, 3677, 1858, 14178, 2417, 24654, 982, 519, 11175, 13671, 593, 519, 1216, 12506, 563, 763, 1858, 729, 1101, 1634, 607, 834, 301, 528, 2077, 1144, 2580, 1310, 590, 996, 543, 15751, 7439, 5142, 945, 8118, 513, 1989, 626, 17524, 972, 538, 827, 476, 6977, 274, 269, 769, 519, 4571, 268, 6977, 271, 338, 267, 4425, 1335, 1014, 5065, 2696, 325, 9445, 13983, 559, 1157, 543, 1010, 14930, 3710, 513, 1507, 267, 1216, 14617, 4718, 17524, 269, 13983, 559, 1157, 781, 3312, 2012, 729, 717, 2714, 12340, 321, 13983, 592, 747, 543, 646, 23012, 535, 4669, 1947, 689, 1010, 554, 32528, 540, 932, 2858, 6072, 538, 476, 7277, 273, 267, 1317, 646, 7640, 539, 513, 2603, 540, 2724, 269, 634, 13983, 559, 1157, 14552, 3710, 513, 9252, 14617, 1984, 538, 513, 1906, 1296, 269, 19402, 922, 9552, 676, 3595, 538, 827, 476, 5002, 278, 267, 519, 1984, 729, 835, 540, 519, 1034, 1271, 593, 9835, 3004, 2091, 7345, 267, 5969, 5216, 543, 835, 28451, 2929, 3952, 540, 2182, 6229, 29421, 538, 476, 6642, 274, 269, 4033, 6080, 538, 519, 13524, 2540, 3769, 513, 15839, 12881, 267, 1786, 342, 2044, 267, 543, 16009, 1676, 344, 269, 1879, 519, 2494, 626, 2465, 543, 17368, 14665, 21805, 9411, 4884, 538, 476, 6245, 273, 267, 519, 6728, 729, 1572, 834, 294, 516, 559, 6506, 257, 543, 519, 4478, 2146, 849, 3576, 713, 2012, 269, 769, 476, 3422, 272, 267, 950, 13983, 559, 1157, 6807, 781, 2551, 729, 827, 476, 12010, 267, 513, 2027, 9550, 729, 4371, 538, 6810, 476, 2764, 543, 476, 3451, 540, 4432, 332, 6229, 24104, 1222, 267, 1519, 13983, 559, 1157, 6807, 267, 547, 6430, 513, 11556, 3823, 1818, 1346, 2127, 513, 1753, 268, 22364, 8498, 1572, 4432, 332, 6229, 269, 634, 11556, 729, 17204, 676, 513, 8917, 540, 476, 24487, 547, 476, 6434, 563, 6097, 547, 519, 2136, 2276, 17227, 13163, 267, 519, 7131, 303, 814, 513, 2698, 1858, 540, 476, 277, 269, 280, 4009, 5195, 630, 1240, 5998, 273, 1070, 540, 799, 476, 275, 269, 276, 4009, 5195, 630, 1321, 5998, 273, 264, 568, 2244, 543, 476, 273, 269, 275, 4009, 5195, 630, 277, 269, 273, 5998, 273, 264, 630, 4097, 269, 6795, 8472, 568, 1216, 563, 4263, 540, 519, 476, 1220, 271, 14829, 267, 972, 941, 476, 272, 267, 25870, 1004, 267, 476, 277, 2190, 10820, 543, 476, 32542, 3885, 23493, 538, 519, 7131, 303, 269, 634, 2551, 5860, 729, 476, 27183, 269, 275, 829, 4009, 13304, 630, 13199, 269, 275, 270, 14790, 11054, 1040, 1703, 941, 476, 277, 6507, 8027, 4559, 693, 606, 3328, 5860, 540, 476, 5611, 269, 275, 829, 4009, 13304, 630, 6812, 269, 272, 270, 14790, 11054, 1040, 634, 7292, 17539, 540, 519, 7131, 303, 729, 476, 9032, 269, 4817, 260, 6519, 267, 476, 271, 269, 5038, 260, 3979, 1977, 267, 476, 271, 269, 3374, 260, 7111, 1977, 267, 476, 271, 269, 5881, 260, 7489, 267, 476, 271, 269, 2641, 260, 689, 824, 14797, 267, 543, 476, 271, 269, 4281, 260, 689, 1079, 610, 811, 14797, 269, 17104, 610, 21337, 540, 1022, 5198, 941, 476, 271, 269, 6872, 260, 540, 519, 2551, 563, 2467, 941, 476, 277, 2190, 10820, 540, 799, 476, 2641, 269, 276, 260, 1185, 1453, 896, 519, 2085, 540, 476, 1240, 2713, 609, 873, 267, 476, 6795, 269, 276, 260, 941, 9310, 15185, 2713, 1927, 267, 476, 278, 269, 273, 260, 1185, 513, 4775, 7622, 518, 609, 1100, 9393, 1459, 267, 543, 476, 1789, 269, 279, 260, 941, 1875, 1922, 7056, 625, 269, 476, 1839, 269, 274, 260, 540, 782, 10820, 941, 1500, 909, 540, 2043, 543, 476, 1321, 269, 279, 260, 1185, 2576, 2713, 4805, 945, 729, 476, 4792, 1296, 540, 2085, 610, 4587, 269, 634, 3328, 7622, 2450, 729, 476, 273, 269, 2767, 543, 519, 3328, 1920, 2450, 729, 476, 273, 269, 6858, 563, 1240, 269, 273, 260, 540, 519, 2551, 941, 896, 519, 2085, 540, 476, 1240, 267, 476, 275, 269, 279, 260, 689, 476, 1240, 547, 476, 2190, 267, 476, 2641, 269, 274, 260, 689, 476, 1839, 547, 476, 4510, 267, 476, 4029, 269, 271, 260, 689, 476, 3393, 547, 476, 5038, 267, 543, 476, 2190, 269, 278, 260, 945, 941, 476, 4792, 1296, 540, 2085, 610, 4587, 269, 634, 11667, 2085, 729, 476, 4366, 1296, 269, 1280, 1169, 476, 1911, 8951, 972, 941, 476, 3445, 269, 273, 9038, 269, 1280, 1169, 476, 1911, 8951, 2085, 476, 1240, 543, 936, 267, 972, 941, 476, 9262, 269, 279, 9038, 563, 763, 11667, 7622, 4747, 729, 1269, 4366, 267, 29483, 543, 519, 11667, 1920, 4747, 729, 1269, 7906, 267, 7742, 269, 631, 2297, 1185, 513, 11667, 4747, 540, 1269, 3393, 267, 280, 4343, 3379, 609, 1269, 2767, 267, 280, 4343, 585, 8951, 269, 634, 829, 21027, 4747, 585, 519, 7131, 303, 729, 1269, 1789, 267, 279, 2420, 269, 7183, 540, 519, 3885, 543, 476, 272, 269, 273, 260, 540, 519, 2551, 941, 2713, 2630, 519, 6710, 1899, 267, 1519, 1100, 896, 5216, 324, 839, 543, 476, 272, 269, 279, 260, 540, 1346, 936, 476, 5038, 563, 294, 516, 559, 1157, 6807, 267, 12309, 12700, 585, 8866, 269, 918, 1497, 15610, 269, 0, 2005, 779, 1134, 8153, 602, 1870, 2069, 15824, 513, 1883, 1599, 538, 519, 1967, 540, 513, 3919, 269, 634, 585, 596, 547, 1451, 543, 547, 3489, 3946, 6823, 1702, 666, 581, 1336, 538, 1870, 3506, 267, 15029, 538, 519, 2146, 3506, 269, 5637, 540, 891, 2010, 540, 3156, 666, 581, 5059, 593, 2743, 519, 2115, 540, 4213, 540, 782, 7306, 563, 2414, 1376, 609, 513, 4876, 538, 1870, 267, 513, 1870, 2875, 1590, 1413, 883, 11504, 606, 3498, 899, 1733, 691, 517, 610, 18628, 6355, 26323, 269, 1452, 616, 1134, 1634, 1870, 3872, 5238, 602, 666, 1870, 1291, 513, 1870, 20194, 547, 1967, 538, 513, 3099, 540, 4853, 9922, 563, 12234, 267, 789, 666, 3442, 547, 1397, 909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1297, 540, 8918, 2798, 267, 16849, 519, 1297, 538, 519, 1647, 540, 519, 1305, 540, 2016, 2338, 269, 901, 786, 1152, 2479, 581, 6936, 585, 513, 2582, 1591, 4171, 1547, 19368, 3568, 12777, 4986, 630, 7224, 4542, 267, 1100, 1871, 267, 1100, 8900, 5569, 267, 4986, 693, 782, 264, 4534, 538, 9185, 2474, 267, 602, 568, 1018, 513, 2560, 29055, 256, 1924, 267, 596, 946, 834, 285, 271, 257, 547, 1205, 513, 3803, 1267, 540, 13138, 16604, 610, 674, 3201, 10345, 269, 1452, 3252, 616, 1031, 547, 13861, 4266, 2418, 269, 16849, 519, 1297, 602, 4564, 519, 4266, 538, 14133, 3009, 267, 4855, 519, 1297, 540, 2395, 1063, 1079, 7389, 269, 1403, 596, 1175, 1152, 1616, 547, 6460, 519, 1297, 547, 1257, 1510, 1022, 11249, 267, 596, 666, 946, 519, 4542, 281, 815, 307, 28692, 10490, 272, 2437, 271, 257, 5148, 476, 272, 269, 2060, 513, 1599, 267, 596, 1131, 2328, 519, 1657, 4542, 607, 269, 1879, 596, 2461, 7421, 1239, 609, 2338, 538, 9185, 267, 621, 779, 2653, 2614, 547, 9192, 610, 13861, 621, 998, 8691, 610, 1840, 269, 19382, 1599, 538, 14133, 568, 513, 1826, 540, 1257, 1599, 538, 14133, 799, 568, 1031, 547, 2285, 519, 1297, 540, 3197, 689, 519, 1376, 689, 519, 5569, 799, 568, 689, 2451, 547, 1318, 267, 585, 1383, 952, 649, 946, 713, 1599, 607, 815, 4041, 10499, 630, 968, 288, 2793, 21254, 5608, 273, 264, 713, 786, 2285, 721, 4888, 607, 519, 1267, 267, 689, 519, 1383, 649, 666, 1294, 602, 713, 1599, 2560, 901, 786, 5031, 519, 1591, 9607, 1031, 538, 519, 4542, 267, 543, 596, 666, 3444, 2638, 547, 2327, 789, 616, 519, 5551, 1591, 9607, 269, 1684, 711, 3653, 707, 942, 593, 17511, 519, 1482, 30491, 547, 16625, 15737, 269, 901, 1888, 2488, 606, 4367, 547, 12596, 543, 3252, 538, 9185, 269, 1403, 596, 723, 513, 9183, 1141, 707, 3349, 1281, 711, 1376, 538, 6241, 589, 267, 899, 713, 281, 1403, 4959, 301, 9331, 21612, 7024, 674, 3201, 10345, 267, 519, 17692, 1599, 17016, 606, 8900, 5569, 630, 3269, 1040, 1280, 1383, 267, 815, 3041, 301, 9331, 21612, 10490, 272, 264, 786, 2132, 13138, 16604, 952, 589, 272, 3568, 513, 1297, 610, 513, 4542, 602, 7024, 513, 25948, 1871, 269, 3371, 616, 782, 519, 22423, 4967, 3823, 1210, 519, 4542, 269, 9737, 4542, 538, 9185, 585, 10606, 269, 1323, 5044, 568, 1175, 513, 1592, 610, 2039, 540, 2418, 267, 855, 606, 26275, 16754, 568, 513, 2027, 1826, 540, 4542, 602, 1590, 581, 9411, 676, 10296, 595, 27530, 1341, 29196, 1341, 9373, 269, 9185, 568, 519, 1283, 3301, 585, 12719, 519, 7372, 2179, 540, 25948, 1239, 269, 9185, 3091, 1082, 3252, 950, 621, 2501, 547, 2324, 609, 25948, 2418, 269, 1703, 616, 811, 982, 476, 1911, 3252, 538, 9185, 269, 28088, 815, 476, 6078, 630, 8450, 12005, 2630, 264, 1948, 273, 2910, 7419, 307, 9185, 9577, 269, 4813, 10358, 269, 1306, 519, 1267, 267, 782, 519, 3688, 540, 519, 2699, 2681, 616, 12006, 281, 5502, 540, 834, 14551, 322, 5317, 257, 519, 2681, 538, 519, 19585, 11249, 4341, 267, 596, 666, 1826, 621, 538, 513, 30966, 1591, 267, 2161, 661, 273, 267, 543, 3277, 547, 602, 1591, 538, 707, 4542, 630, 921, 848, 2247, 519, 6207, 1591, 4704, 1269, 292, 259, 273, 1040, 11872, 281, 15233, 519, 1239, 15418, 1907, 547, 6615, 519, 3593, 547, 3403, 23380, 1871, 267, 799, 3085, 1405, 14183, 519, 2783, 269, 1280, 1383, 267, 519, 2630, 4542, 786, 9062, 2338, 676, 476, 1015, 543, 6556, 834, 8253, 1297, 257, 585, 1875, 5991, 10179, 545, 2418, 281, 769, 3510, 950, 596, 1616, 547, 1449, 519, 2898, 2039, 585, 2338, 267, 946, 519, 4959, 301, 9331, 21612, 1599, 538, 4999, 609, 24639, 6573, 4629, 291, 308, 6311, 899, 713, 281, 1280, 1383, 267, 547, 1265, 856, 952, 519, 2039, 589, 273, 281, 288, 276, 3568, 1022, 25948, 1871, 267, 519, 12596, 1131, 979, 607, 5205, 281, 1403, 596, 9364, 899, 547, 3977, 834, 8133, 257, 543, 834, 5591, 257, 3079, 540, 13138, 16604, 543, 674, 3201, 10345, 267, 8415, 519, 17692, 3948, 607, 513, 834, 342, 571, 3899, 257, 585, 519, 1657, 12596, 269, 1403, 596, 616, 3168, 547, 5031, 2281, 610, 3003, 9343, 602, 2270, 1808, 1257, 267, 1711, 513, 19585, 11249, 4341, 1759, 593, 519, 4959, 301, 9331, 21612, 10323, 24086, 630, 13826, 15564, 17567, 264, 610, 4959, 301, 9331, 21612, 674, 18853, 630, 13826, 25259, 264, 4542, 269, 4635, 513, 4542, 267, 596, 1131, 723, 547, 4704, 519, 2281, 661, 275, 998, 547, 661, 279, 835, 676, 835, 269, 17006, 2281, 538, 9185, 568, 2653, 256, 3973, 596, 1223, 946, 590, 9331, 547, 1039, 909, 782, 476, 1015, 2338, 269, 4813, 10358, 543, 3252, 616, 519, 2679, 7161, 540, 2324, 609, 25948, 1239, 538, 9185, 269, 1215, 547, 946, 519, 966, 26183, 10498, 16810, 9577, 538, 9185, 281, 901, 568, 835, 540, 519, 1034, 1031, 543, 2442, 3252, 540, 14133, 602, 568, 1031, 547, 1413, 1575, 1871, 689, 1114, 9832, 543, 9212, 269, 9185, 3085, 1405, 723, 513, 7941, 1599, 267, 865, 7900, 6498, 538, 9185, 3340, 596, 547, 1711, 513, 4542, 269, 4131, 781, 1451, 875, 547, 946, 12596, 547, 7941, 2338, 543, 5173, 21159, 538, 9185, 269, 7102, 7853, 945, 2833, 621, 267, 568, 3808, 547, 2648, 621, 256, 1280, 9185, 476, 1220, 274, 543, 4505, 267, 979, 547, 14474, 3436, 19204, 269, 634, 9786, 9185, 4959, 301, 9331, 21612, 1599, 666, 581, 1031, 547, 2638, 585, 513, 25948, 1871, 269, 634, 4959, 301, 9331, 21612, 1599, 849, 2501, 538, 13561, 585, 25935, 2338, 689, 513, 5569, 269, 8433, 476, 18458, 568, 513, 24194, 540, 3292, 689, 9786, 602, 2196, 1312, 12725, 543, 666, 581, 1862, 1269, 736, 269, 736, 1269, 280, 269, 4200, 585, 2221, 476, 275, 269, 277, 630, 15686, 16863, 264, 6206, 4400, 7547, 540, 966, 10621, 20861, 7300, 476, 5952, 266, 3817, 26496, 1862, 9786, 8433, 568, 513, 22753, 540, 7607, 3301, 269, 769, 713, 5850, 267, 649, 3580, 1397, 596, 267, 1900, 676, 1900, 267, 875, 547, 946, 519, 12164, 290, 12442, 2793, 15288, 1599, 269, 7427, 891, 1900, 8386, 9912, 5528, 547, 1039, 2338, 538, 9185, 1210, 513, 2241, 4542, 269, 1772, 301, 10179, 545, 568, 519, 966, 10621, 1599, 799, 11974, 952, 513, 1871, 568, 25948, 543, 7024, 513, 29491, 13138, 16604, 610, 674, 3201, 10345, 607, 513, 1267, 269, 4635, 1772, 301, 10179, 545, 538, 966, 10621, 269, 3371, 781, 606, 1383, 281, 5192, 1297, 689, 1022, 2990, 538, 513, 5569, 269, 681, 13263, 9577, 538, 9185, 269, 1280, 713, 267, 946, 4959, 301, 9331, 21612, 1927, 609, 519, 10323, 24086, 1599, 269, 901, 5100, 10189, 786, 8897, 1082, 6296, 4238, 543, 4194, 1950, 32462, 4247, 538, 707, 18580, 1115, 269, 2913, 781, 2491, 713, 538, 513, 2482, 2006, 781, 1893, 269, 1280, 1383, 281, 815, 306, 9331, 10490, 272, 281, 288, 274, 1040, 1215, 547, 946, 519, 17692, 9577, 538, 9185, 281, 634, 17692, 3948, 538, 9185, 11974, 519, 2783, 543, 7024, 513, 1808, 1871, 952, 519, 2783, 568, 13138, 16604, 610, 7024, 1776, 1808, 1871, 952, 674, 3201, 10345, 269, 9978, 4813, 10358, 538, 9185, 269, 10606, 3096, 513, 10316, 1935, 547, 519, 5137, 540, 12596, 267, 5885, 519, 946, 540, 3957, 1239, 899, 8555, 341, 267, 855, 7598, 873, 538, 1606, 18694, 899, 9185, 269, 18838, 676, 1071, 1922, 10133, 918, 28771, 18999, 10458, 267, 9786, 8433, 28154, 269, 901, 5850, 786, 6542, 875, 547, 4894, 2338, 689, 519, 1257, 538, 513, 1591, 538, 9185, 1299, 5616, 25420, 269, 634, 1523, 540, 519, 4959, 301, 9331, 21612, 1599, 538, 9185, 568, 1360, 2241, 910, 621, 1175, 11974, 2436, 513, 2016, 1871, 568, 513, 1297, 610, 711, 269, 769, 519, 13598, 1106, 267, 519, 4542, 5654, 607, 5205, 281, 7316, 10799, 532, 568, 519, 1257, 602, 596, 1616, 547, 1265, 269, 1403, 519, 10799, 532, 568, 711, 1336, 267, 519, 1599, 7472, 513, 1948, 309, 3201, 16604, 256, 5502, 267, 649, 786, 3277, 547, 519, 1591, 5627, 519, 2681, 540, 1719, 630, 289, 273, 1040, 9185, 22369, 12596, 2356, 960, 609, 25948, 1239, 282, 596, 666, 1491, 5413, 540, 1239, 15418, 547, 14574, 519, 1826, 540, 1239, 602, 1058, 581, 7608, 676, 513, 1591, 1775, 4318, 269, 1280, 1383, 594, 840, 19290, 596, 666, 1039, 267, 10208, 267, 7941, 267, 9062, 2338, 267, 543, 865, 1454, 811, 269, 9185, 3252, 267, 4542, 267, 12125, 267, 11249, 2870, 14133, 21686, 4580, 1299, 1866, 269, 634, 4542, 2630, 10208, 338, 519, 1871, 538, 1591, 589, 273, 543, 519, 1871, 538, 1591, 589, 274, 689, 519, 1871, 538, 1591, 589, 272, 269, 1284, 3112, 10018, 602, 649, 786, 2626, 1169, 2243, 267, 855, 649, 3513, 798, 938, 1655, 2433, 1070, 476, 2568, 266, 3318, 2645, 585, 9786, 9185, 269, 1280, 713, 267, 946, 2901, 519, 269, 2913, 779, 2015, 681, 13263, 20465, 1599, 538, 9185, 547, 5173, 519, 4351, 2338, 536, 11320, 476, 271, 543, 476, 272, 269, 1215, 547, 4032, 20134, 10606, 538, 9185, 1107, 14168, 16754, 269, 5221, 700, 9128, 307, 12851, 547, 519, 7121, 540, 7956, 3252, 267, 922, 1267, 568, 2141, 513, 1257, 5569, 267, 1256, 952, 621, 1152, 3568, 2338, 269, 1924, 267, 952, 519, 10799, 532, 568, 1336, 543, 922, 2990, 568, 8120, 607, 513, 1297, 267, 4959, 301, 9331, 21612, 17016, 13138, 16604, 269, 1403, 596, 991, 547, 267, 596, 666, 4188, 519, 6241, 11097, 2195, 547, 1294, 782, 519, 1239, 269, 898, 786, 2040, 909, 2281, 602, 2743, 519, 2016, 7355, 269, 1306, 606, 1383, 267, 1577, 781, 1449, 2418, 538, 2281, 589, 273, 998, 589, 277, 267, 543, 649, 786, 1265, 856, 602, 519, 1101, 476, 274, 2418, 616, 2338, 543, 519, 2063, 1079, 616, 1257, 281, 1703, 616, 513, 7008, 540, 4277, 2798, 547, 4063, 1934, 281, 634, 2630, 1806, 6542, 513, 1906, 1455, 543, 513, 7008, 540, 1875, 2389, 337, 20190, 3096, 540, 4959, 301, 9331, 21612, 538, 9185, 269, 29740, 24493, 9185, 12793, 5903, 269, 1358, 616, 4959, 301, 9331, 21612, 543, 594, 4306, 28692, 269, 901, 3301, 666, 798, 782, 12204, 540, 5863, 9273, 855, 596, 991, 547, 917, 875, 547, 946, 519, 12596, 269, 14597, 596, 723, 519, 6221, 17626, 1297, 267, 543, 596, 1131, 899, 547, 917, 519, 6221, 6609, 267, 596, 666, 946, 519, 966, 26183, 10498, 16810, 1599, 269, 543, 9185, 4813, 10358, 256, 2338, 30149, 607, 1257, 269, 634, 17692, 1599, 568, 849, 1390, 585, 9236, 25948, 2418, 269, 10158, 547, 10891, 543, 1832, 3950, 540, 707, 942, 267, 543, 2569, 5215, 540, 10856, 585, 256, 681, 15903, 1055, 547, 519, 1297, 602, 4564, 519, 4266, 538, 9185, 30664, 764, 2406, 1510, 6959, 610, 17799, 540, 9185, 3710, 2987, 256, 1772, 15893, 7024, 674, 3201, 10345, 596, 547, 9192, 2418, 689, 1591, 589, 272, 547, 1591, 589, 274, 9192, 1257, 689, 1114, 2281, 883, 1591, 269, 12181, 15234, 3738, 649, 616, 2469, 547, 1685, 1808, 9273, 610, 547, 2132, 6176, 267, 13861, 519, 9115, 540, 2281, 256, 630, 2608, 267, 286, 3738, 4061, 267, 1354, 10992, 519, 13939, 1915, 267, 649, 11313, 1654, 2322, 476, 1015, 269, 14066, 5666, 540, 1239, 2241, 538, 12596, 581, 7229, 1101, 982, 4642, 267, 851, 1862, 25767, 519, 1383, 3254, 267, 519, 4959, 301, 9331, 21612, 1599, 666, 849, 946, 9185, 3252, 4959, 301, 9331, 21612, 594, 4306, 28692, 256, 634, 9343, 538, 9185, 568, 1360, 2241, 910, 621, 1175, 11974, 2436, 513, 1871, 1862, 23067, 1480, 7888, 4408, 581, 1114, 4128, 585, 713, 267, 946, 4959, 301, 9331, 21612, 1927, 609, 519, 10323, 24086, 1599, 835, 1297, 2039, 269, 5384, 593, 17511, 519, 1482, 30491, 547, 16625, 15737, 1210, 519, 1804, 1599, 946, 2040, 547, 1039, 538, 1862, 2142, 1572, 689, 966, 10621, 3009, 26344, 5852, 1599, 960, 1500, 4443, 547, 10891, 543, 1832, 3950, 707, 29755, 972, 616, 1896, 2081, 547, 4894, 8918, 2798, 543, 2110, 2287, 1297, 2418, 2698, 547, 2327, 789, 616, 1312, 538, 269, 25478, 2281, 538, 513, 7150, 3490, 883, 513, 25948, 1871, 713, 1383, 267, 649, 786, 1413, 930, 1862, 5903, 609, 9509, 6609, 540, 1142, 540, 9185, 1412, 338, 12596, 267, 596, 666, 4188, 519, 6241, 4484, 4553, 676, 4737, 1862, 10606, 543, 5924, 7389, 1808, 9273, 610, 547, 2132, 6176, 267, 13861, 519, 9115, 540, 824, 2281, 1449, 269, 1656, 596, 666, 849, 2638, 952, 513, 1591, 1871, 568, 1063 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4706, 17545, 2636, 621, 547, 6445, 519, 1909, 540, 513, 15393, 1301, 610, 513, 15393, 6186, 269, 1280, 891, 4128, 519, 4949, 324, 814, 1044, 513, 1292, 560, 599, 540, 654, 8582, 2094, 519, 4367, 540, 1377, 476, 5392, 269, 0, 299, 293, 23417, 268, 1428, 19287, 658, 11202, 11077, 454, 763, 2949, 6662, 540, 713, 3296, 568, 547, 6338, 596, 5097, 547, 513, 2039, 540, 1271, 2890, 1706, 553, 2572, 267, 519, 3676, 789, 2014, 543, 519, 21313, 3620, 739, 543, 2825, 4205, 602, 1827, 741, 7350, 543, 4485, 547, 1852, 269, 6201, 1331, 6152, 25645, 543, 5924, 1990, 3019, 5328, 7103, 689, 29901, 14385, 1756, 267, 8347, 3966, 22199, 267, 26736, 7116, 1756, 547, 13271, 269, 901, 9074, 2882, 513, 1445, 593, 9190, 6484, 543, 8770, 11601, 676, 5466, 519, 2208, 4162, 540, 5697, 13596, 538, 519, 1604, 630, 528, 2067, 13111, 264, 543, 875, 891, 616, 9168, 543, 9862, 609, 3968, 540, 519, 3984, 269, 1284, 849, 1413, 693, 16917, 8344, 2188, 3238, 538, 741, 12289, 267, 3262, 267, 543, 3935, 5314, 267, 543, 519, 3984, 20237, 1949, 602, 789, 723, 547, 7753, 269, 9828, 1031, 538, 519, 5868, 540, 3968, 267, 543, 1312, 1699, 543, 3209, 4485, 547, 741, 1852, 786, 581, 5941, 269, 1284, 786, 849, 1413, 693, 519, 1764, 540, 11763, 2068, 936, 519, 5553, 543, 875, 789, 723, 1044, 9228, 543, 18808, 609, 676, 2486, 563, 763, 2832, 540, 519, 9074, 568, 547, 2491, 519, 7350, 540, 1271, 13596, 269, 3414, 1353, 540, 513, 3099, 540, 17973, 267, 1053, 786, 2744, 606, 7071, 540, 519, 4763, 540, 13596, 543, 23633, 6127, 538, 1480, 11763, 2068, 563, 1607, 568, 606, 22566, 9074, 7291, 1152, 547, 2285, 606, 16315, 540, 519, 4990, 540, 3584, 602, 949, 581, 4988, 269, 2920, 783, 7886, 4371, 949, 8428, 563, 7072, 547, 9190, 13596, 282, 2837, 10892, 267, 2523, 4411, 8710, 3210, 543, 700, 3563, 807, 2205, 18834, 282, 6181, 542, 7578, 543, 3002, 8710, 5946, 563, 335, 295, 10892, 267, 3226, 540, 15755, 2175, 552, 3052, 269, 676, 27187, 27193, 574, 584, 1756, 543, 4477, 545, 14385, 28894, 9461, 563, 2304, 320, 518, 11893, 2670, 543, 519, 1198, 540, 5135, 593, 2208, 543, 23633, 640, 552, 3052, 269, 540, 1849, 739, 5090, 1756, 7762, 6081, 636, 267, 595, 269, 15067, 8643, 563, 275, 268, 277, 269, 3979, 2119, 3966, 22199, 269, 634, 12105, 7350, 540, 3979, 1480, 543, 12418, 2119, 3966, 22199, 543, 741, 10321, 4929, 12008, 19210, 538, 3425, 267, 543, 562, 698, 3570, 543, 1644, 3676, 538, 13184, 269, 12830, 2152, 11341, 547, 1990, 3019, 5328, 1852, 1331, 4509, 21049, 6617, 538, 519, 2796, 540, 21883, 8743, 25645, 3676, 563, 25721, 545, 558, 14658, 534, 15495, 281, 26736, 7116, 1756, 563, 1607, 11000, 786, 1683, 606, 4367, 547, 3284, 545, 558, 14658, 534, 7350, 267, 1519, 2497, 267, 1272, 9979, 267, 543, 10321, 855, 1445, 593, 26736, 7116, 1756, 267, 519, 1757, 894, 8665, 540, 13663, 269, 634, 4791, 4644, 267, 31630, 267, 27496, 543, 1852, 2994, 786, 581, 5941, 563, 25721, 545, 558, 14658, 534, 15495, 281, 1677, 343, 21182, 2742, 543, 15303, 30950, 29899, 563, 307, 2135, 21182, 2742, 568, 513, 9279, 322, 22941, 21313, 799, 3468, 338, 3425, 607, 1134, 607, 513, 2647, 3099, 540, 11864, 543, 5017, 269, 898, 15225, 513, 23246, 1790, 9445, 1826, 1272, 4783, 543, 535, 3894, 616, 519, 1152, 17046, 3984, 269, 15303, 30950, 29899, 267, 513, 21313, 4122, 1336, 538, 12647, 543, 8933, 267, 2523, 950, 519, 1216, 568, 13572, 609, 21137, 543, 3662, 22837, 267, 568, 513, 21313, 540, 519, 15499, 8778, 338, 540, 24991, 267, 20641, 267, 5017, 267, 543, 11864, 563, 1103, 2739, 687, 10023, 3500, 3395, 4551, 281, 1806, 267, 7104, 2042, 540, 5868, 543, 2126, 563, 30696, 593, 3676, 2404, 609, 3500, 3395, 1250, 322, 27627, 281, 682, 2889, 1910, 267, 3140, 3344, 267, 2126, 543, 23735, 2747, 269, 23433, 2934, 540, 631, 269, 682, 335, 571, 324, 11646, 543, 2205, 18834, 21876, 282, 8738, 25625, 21385, 543, 631, 269, 22377, 753, 563, 307, 21310, 17533, 543, 922, 556, 15041, 1120, 775, 607, 513, 2101, 2518, 19800, 540, 519, 3384, 543, 2919, 1158, 269, 5948, 609, 7486, 267, 5868, 543, 2126, 281, 2042, 585, 1312, 2523, 17326, 2607, 11259, 12490, 563, 1321, 268, 1724, 269, 8347, 3966, 657, 5448, 2267, 17844, 630, 2419, 698, 553, 685, 2068, 1040, 634, 27496, 540, 6469, 543, 861, 331, 341, 1738, 6771, 9979, 543, 922, 6286, 585, 519, 8828, 595, 821, 5741, 2324, 2509, 922, 17594, 563, 1691, 268, 1428, 269, 674, 2426, 328, 607, 13596, 540, 2564, 2956, 282, 5619, 543, 2489, 3601, 540, 1199, 1227, 1271, 13271, 282, 9860, 543, 11841, 540, 16507, 3676, 267, 6127, 540, 23633, 640, 269, 10334, 543, 31630, 540, 2101, 2516, 540, 13271, 4929, 1312, 21603, 543, 2620, 1250, 322, 4680, 269, 29120, 1806, 786, 1331, 1306, 704, 326, 22346, 267, 15443, 5866, 267, 15303, 19905, 543, 2876, 21182, 2742, 1519, 2013, 12583, 267, 5868, 543, 2126, 563, 3528, 519, 1439, 540, 519, 9074, 267, 1053, 1058, 581, 2111, 547, 912, 268, 5426, 476, 276, 1620, 540, 2890, 26220, 5563, 454, 268, 5426, 476, 276, 1620, 540, 26220, 2068, 543, 10321, 454, 268, 5426, 476, 276, 1620, 540, 519, 2825, 1764, 593, 15495, 543, 741, 10321, 454, 268, 5426, 476, 276, 1620, 540, 3968, 26129, 454, 268, 5426, 476, 276, 1620, 540, 519, 1514, 543, 2551, 5222, 540, 5563, 454, 5715, 545, 894, 2542, 1592, 454, 32743, 10247, 267, 645, 2658, 267, 1696, 620, 269, 661, 1091, 269, 7935, 1188, 10334, 540, 5843, 13060, 267, 476, 1428, 628, 1196, 333, 269, 630, 303, 792, 5459, 267, 18148, 595, 17026, 902, 267, 476, 1001, 279, 1040, 1496, 25835, 476, 272, 268, 29580, 268, 20720, 1015, 268, 272, 2639, 300, 15501, 267, 1696, 620, 269, 6481, 31814, 267, 8242, 476, 274, 6113, 1196, 333, 269, 630, 300, 657, 2421, 267, 476, 1220, 276, 1040, 1496, 25835, 476, 271, 268, 26825, 268, 271, 3374, 4037, 268, 273, 2639, 300, 584, 2001, 267, 14472, 5460, 531, 543, 623, 6420, 518, 269, 6481, 31814, 267, 476, 276, 628, 1196, 333, 269, 630, 300, 657, 2421, 267, 476, 1220, 276, 1040, 1496, 25835, 476, 271, 268, 26825, 268, 30033, 6734, 268, 273, 2639, 306, 3315, 619, 267, 589, 269, 589, 269, 543, 1733, 8636, 267, 667, 269, 667, 269, 645, 17424, 11202, 14003, 281, 513, 17449, 13979, 630, 3008, 300, 4964, 267, 476, 1220, 273, 1040, 1496, 25835, 476, 272, 268, 27898, 10037, 268, 14378, 29930, 2639, 20428, 1808, 1983, 454, 308, 2955, 513, 2039, 540, 1271, 2890, 1706, 553, 2572, 267, 519, 3676, 789, 2014, 543, 519, 21313, 3620, 739, 543, 2825, 4205, 602, 1827, 741, 7350, 543, 4485, 547, 1852, 269, 6201, 1331, 6152, 25645, 543, 5924, 1990, 3019, 5328, 7103, 689, 29901, 14385, 1756, 267, 8347, 3966, 22199, 547, 13271, 563, 308, 2955, 9190, 6484, 543, 8770, 11601, 676, 5466, 519, 2208, 4162, 540, 5697, 13596, 538, 519, 1604, 630, 528, 2067, 13111, 264, 543, 875, 891, 616, 9168, 543, 9862, 609, 3968, 540, 519, 3984, 563, 23737, 16917, 8344, 2188, 3238, 538, 519, 12289, 267, 3262, 267, 543, 3935, 5314, 540, 13596, 267, 543, 519, 3984, 8878, 1949, 602, 789, 723, 547, 7753, 563, 308, 2955, 2553, 1031, 538, 519, 5868, 540, 3968, 267, 543, 1312, 1699, 543, 3209, 4485, 547, 741, 1852, 786, 581, 5941, 269, 1284, 786, 849, 1413, 693, 519, 1764, 540, 11763, 2068, 936, 519, 5553, 543, 875, 789, 723, 1044, 9228, 543, 18808, 609, 676, 2486, 563, 20236, 9859, 1565, 454, 30054, 624, 999, 1475, 1428, 7886, 540, 476, 272, 5662, 630, 1015, 8472, 2008, 347, 8448, 2534, 1475, 1015, 3108, 630, 278, 8472, 2008, 347, 7468, 10675, 1353, 1475, 10219, 3108, 630, 10695, 8472, 2008, 7468, 10675, 1353, 6609, 454, 20236, 9859, 1565, 543, 14469, 585, 519, 1439, 540, 1032, 981, 454, 8448, 2534, 6609, 454, 1103, 9074, 4879, 20620, 5591, 2417, 3790, 723, 1044, 4857, 585, 713, 9074, 563, 2791, 798, 711, 991, 547, 1780, 782, 4879, 3334, 547, 1780, 519, 9074, 563, 10112, 20156, 1895, 667, 454, 347, 1103, 21524, 2544, 4879, 1475, 1789, 260, 1475, 1789, 3108, 2008, 8505, 5782, 545, 4879, 267, 1759, 593, 513, 1455, 1966, 610, 10471, 3173, 1131, 4308, 609, 593, 513, 2834, 4493, 538, 519, 4081, 1604, 269, 901, 568, 538, 11060, 609, 1312, 589, 304, 17092, 543, 19954, 289, 4170, 593, 10526, 454, 347, 15697, 22410, 1475, 3583, 260, 1475, 3393, 3108, 2008, 272, 269, 276, 32162, 981, 268, 476, 3393, 1295, 2110, 2626, 2243, 1957, 1315, 476, 3393, 1295, 1557, 1759, 1957, 454, 10112, 20156, 1895, 681, 454, 3393, 1295, 14408, 304, 1957, 1315, 476, 3393, 1295, 1557, 1957, 454, 293, 3975, 3724, 593, 4879, 454, 8070, 1532, 13635, 20165, 1377, 5955, 454, 1607, 9074, 568, 11759, 585, 912, 268, 5729, 476, 273, 540, 772, 289, 6347, 4211, 272, 289, 280, 7201, 12392, 4437, 32441, 3163, 454, 268, 5729, 476, 273, 540, 772, 299, 11902, 4211, 272, 288, 274, 7201, 12392, 4437, 32441, 3163, 630, 11586, 1470, 994, 268, 5729, 476, 273, 540, 772, 299, 11902, 4211, 272, 288, 278, 7201, 12392, 4437, 32441, 3163, 609, 11633, 9255, 618, 630, 11586, 1470, 994, 268, 5729, 476, 273, 540, 772, 299, 11902, 4211, 289, 1240, 7201, 12392, 4437, 32441, 3163, 609, 9255, 618, 5729, 454, 1607, 9074, 568, 11759, 18593, 585, 912, 21397, 5183, 4211, 272, 299, 279, 7201, 12392, 5020, 7070, 543, 6820, 12655, 4886, 454, 268, 5729, 476, 273, 540, 595, 272, 299, 279, 5020, 7070, 543, 6820, 12655, 4886, 454, 268, 5729, 476, 273, 540, 595, 272, 6369, 5020, 7070, 543, 6820, 12655, 4886, 281, 18143, 7070, 454, 1607, 9074, 568, 8838, 1308, 585, 912, 268, 5729, 476, 273, 540, 772, 289, 6347, 4211, 10384, 7201, 12392, 4437, 17190, 454, 268, 5729, 476, 273, 540, 772, 299, 11902, 4211, 272, 288, 273, 7201, 12392, 4437, 17190, 630, 11586, 1470, 994, 268, 5729, 476, 273, 540, 772, 299, 11902, 4211, 3583, 273, 7201, 12392, 4437, 17190, 630, 5976, 9255, 618, 5729, 994, 268, 5729, 476, 273, 540, 772, 299, 11902, 4211, 272, 288, 277, 7201, 12392, 4437, 17190, 609, 11633, 9255, 618, 630, 11586, 1470, 994, 268, 5729, 476, 273, 540, 772, 289, 6347, 268, 274, 7201, 12392, 18143, 7070, 454, 268, 5729, 476, 273, 540, 772, 299, 11902, 4211, 272, 288, 272, 7201, 12392, 18143, 7070, 630, 11586, 1470, 994, 268, 5729, 476, 273, 540, 772, 299, 11902, 4211, 13647, 7201, 12392, 18143, 7070, 630, 5976, 9255, 618, 5729, 994, 268, 5729, 476, 273, 540, 772, 299, 11902, 4211, 272, 288, 276, 7201, 12392, 18143, 7070, 609, 11633, 9255, 618, 630, 11586, 1470, 994, 268, 5729, 476, 273, 540, 772, 300, 6395, 4211, 293, 1015, 7201, 12392, 21091, 3163, 630, 5960, 857, 264, 0, 294, 15869, 781, 6651, 568, 519, 3056, 2707, 540, 3140, 1344, 593, 2872, 543, 5663, 538, 6628, 269, 901, 1357, 8313, 3568, 476, 16825, 267, 4343, 277, 3817, 540, 1344, 543, 476, 22001, 267, 5952, 278, 2592, 593, 2038, 3549, 267, 741, 2472, 543, 519, 1004, 945, 2966, 543, 3710, 873, 563, 763, 2701, 742, 1752, 267, 12891, 2023, 268, 8974, 6441, 344, 928, 543, 25480, 24020, 729, 606, 2038, 3703, 16749, 2754, 799, 8118, 538, 5933, 1063, 476, 7277, 272, 543, 476, 7277, 276, 1063, 2701, 742, 1752, 543, 25480, 3842, 12891, 2023, 268, 8974, 6441, 344, 928, 269, 634, 30078, 10588, 4646, 513, 23773, 11064, 267, 543, 519, 1899, 781, 11653, 9112, 8381, 3650, 20658, 6773, 267, 936, 1614, 5195, 630, 275, 269, 279, 5998, 264, 1279, 563, 7277, 278, 634, 2754, 31498, 600, 730, 609, 519, 2701, 742, 1752, 543, 6931, 3712, 985, 10921, 808, 4233, 24020, 543, 4279, 717, 3234, 338, 2421, 543, 2701, 742, 1752, 808, 4233, 24020, 3549, 267, 1927, 8108, 519, 25480, 267, 2701, 742, 1752, 543, 6931, 3712, 985, 10921, 24020, 538, 476, 7277, 278, 563, 24171, 5696, 553, 8124, 607, 28079, 0, 289, 28320, 616, 1634, 547, 1451, 875, 547, 3180, 741, 14569, 1063, 3670, 543, 476, 1015, 3275, 540, 2085, 607, 741, 5386, 5179, 1983, 1020, 269, 1924, 267, 952, 596, 616, 4058, 547, 948, 707, 4816, 3180, 1010, 610, 1200, 1378, 11480, 1247, 8023, 267, 1934, 616, 930, 4388, 547, 1246, 269, 670, 13783, 519, 11480, 568, 835, 540, 519, 19325, 563, 4692, 513, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4537, 12976, 782, 476, 274, 2164, 454, 296, 3913, 924, 4354, 6685, 609, 645, 18444, 3127, 779, 3163, 11314, 7734, 585, 8866, 454, 6701, 596, 3168, 585, 606, 2502, 1259, 547, 6338, 707, 1126, 547, 519, 13300, 540, 2257, 286, 6733, 1100, 2417, 982, 645, 18444, 3127, 779, 4015, 540, 2257, 2534, 2835, 585, 3214, 269, 23850, 547, 8141, 7279, 543, 6536, 513, 2648, 585, 1565, 267, 938, 2835, 9192, 1187, 543, 2069, 16900, 563, 295, 1343, 268, 4002, 4804, 585, 8479, 12207, 454, 289, 18444, 3127, 779, 2257, 2534, 2835, 2709, 513, 3946, 6823, 1935, 547, 1565, 267, 3850, 1453, 547, 2263, 3621, 2035, 998, 3078, 6901, 543, 7317, 2238, 269, 3245, 7998, 547, 6323, 543, 7350, 267, 1142, 1433, 568, 14095, 609, 2085, 29003, 6901, 602, 5000, 2565, 3206, 543, 1966, 9010, 1983, 563, 4131, 707, 1126, 7832, 593, 513, 13858, 3621, 3460, 609, 645, 18444, 3127, 779, 2257, 2534, 2835, 269, 13772, 607, 741, 1702, 543, 6612, 585, 2257, 1332, 267, 4259, 873, 909, 585, 513, 6505, 2104, 269, 11352, 707, 5299, 2221, 543, 1577, 519, 1565, 7045, 2253, 256, 0, 7072, 540, 31048, 570, 3471, 454, 20776, 613, 13688, 267, 849, 1634, 607, 10006, 20830, 610, 10006, 20610, 267, 1404, 513, 2629, 1909, 538, 1082, 4702, 543, 4853, 1949, 269, 1452, 13688, 616, 2966, 547, 4383, 543, 1852, 519, 2604, 543, 2095, 540, 15559, 610, 9362, 267, 4180, 519, 5347, 5106, 540, 1585, 3157, 269, 3245, 19558, 1077, 2371, 547, 1216, 3892, 1949, 267, 10006, 13688, 616, 4922, 1031, 538, 3309, 3156, 269, 769, 713, 2376, 267, 649, 786, 5490, 883, 519, 9238, 540, 10006, 13688, 267, 3695, 741, 3483, 267, 2010, 267, 543, 1374, 9270, 269, 6787, 596, 616, 513, 2875, 4974, 5714, 11707, 610, 606, 11653, 3168, 585, 606, 538, 3829, 1620, 540, 891, 13688, 267, 713, 2376, 786, 4196, 607, 606, 13181, 3391, 547, 519, 4367, 540, 10006, 13688, 563, 19613, 540, 31048, 570, 3471, 454, 288, 10006, 7382, 267, 849, 1634, 607, 513, 10006, 12068, 610, 10006, 6077, 267, 568, 513, 2497, 602, 568, 4122, 1031, 538, 19558, 1077, 543, 1216, 3892, 1949, 269, 898, 4249, 513, 2565, 1909, 538, 519, 6617, 543, 4398, 540, 891, 1949, 676, 9013, 6727, 2242, 538, 1216, 2095, 543, 2604, 269, 634, 4087, 540, 513, 10006, 7382, 568, 513, 2629, 3815, 538, 922, 1374, 543, 1599, 563, 763, 1034, 1455, 4087, 585, 513, 10006, 7382, 568, 693, 519, 19654, 1439, 540, 513, 18180, 267, 1175, 1354, 621, 13462, 547, 513, 3892, 1062, 610, 513, 17081, 269, 901, 2636, 519, 7382, 547, 10110, 519, 4430, 2604, 543, 2095, 540, 1216, 602, 4386, 950, 519, 18180, 568, 10393, 9505, 1055, 269, 901, 568, 1634, 607, 513, 968, 4248, 17200, 892, 1198, 543, 621, 666, 2014, 3441, 547, 519, 1062, 952, 711, 5265, 6417, 269, 1635, 11093, 519, 10006, 7382, 693, 519, 1439, 540, 519, 18180, 267, 519, 6727, 2242, 538, 2604, 543, 2095, 666, 581, 26632, 730, 267, 7303, 1022, 3441, 547, 519, 1062, 563, 5194, 1271, 3815, 538, 519, 4087, 540, 513, 10006, 7382, 568, 922, 15038, 269, 31048, 13688, 616, 3335, 5116, 693, 513, 2362, 15038, 982, 519, 4478, 14099, 267, 3850, 8904, 547, 948, 609, 519, 4744, 11692, 540, 1648, 269, 901, 15038, 849, 4249, 513, 1909, 538, 519, 10342, 540, 519, 7382, 269, 1403, 519, 7382, 568, 5116, 1932, 1164, 267, 972, 949, 711, 581, 2614, 2604, 547, 6445, 621, 543, 621, 786, 711, 581, 2111, 547, 4196, 922, 3483, 269, 2201, 519, 824, 1688, 267, 952, 519, 7382, 568, 5116, 1932, 1970, 267, 621, 949, 711, 581, 2111, 547, 6023, 519, 6727, 10006, 538, 2604, 543, 2095, 563, 1103, 930, 2665, 267, 10006, 13688, 949, 849, 581, 4092, 538, 824, 2694, 540, 519, 1062, 267, 971, 607, 2059, 519, 18180, 610, 693, 519, 1283, 540, 513, 14629, 269, 1452, 13688, 616, 1634, 607, 968, 5793, 1597, 532, 892, 610, 968, 3333, 1752, 532, 892, 10006, 13688, 543, 616, 1031, 547, 2149, 1808, 2127, 540, 519, 1062, 689, 1216, 17200, 2360, 269, 1280, 1383, 267, 513, 10006, 7382, 5116, 693, 519, 1283, 540, 513, 14629, 666, 948, 2061, 3441, 547, 519, 2539, 2694, 540, 519, 18180, 1062, 563, 763, 2450, 543, 3337, 540, 513, 10006, 7382, 616, 849, 1271, 9270, 538, 922, 4087, 269, 31048, 13688, 666, 4268, 538, 2450, 543, 3337, 4470, 593, 519, 1808, 2115, 540, 519, 1062, 269, 769, 2489, 267, 3677, 13688, 616, 2111, 547, 6023, 3677, 8928, 543, 12503, 267, 1247, 4130, 13688, 616, 1732, 14018, 585, 1949, 609, 2539, 8928, 543, 12503, 269, 634, 3337, 540, 519, 7382, 666, 849, 1860, 922, 2773, 267, 609, 20425, 13688, 1373, 811, 2500, 538, 26632, 908, 1648, 3379, 547, 14328, 13688, 563, 1103, 1840, 547, 519, 4087, 267, 824, 2188, 971, 607, 519, 3135, 2175, 267, 14099, 267, 543, 10333, 540, 519, 4087, 1058, 849, 581, 2808, 538, 519, 1374, 543, 13307, 540, 513, 10006, 7382, 269, 634, 7382, 1058, 581, 3362, 3015, 585, 5826, 543, 14791, 5301, 267, 543, 922, 4087, 1058, 711, 10460, 1022, 3106, 10898, 563, 1103, 3932, 267, 519, 4087, 540, 513, 10006, 7382, 568, 513, 2565, 2460, 538, 922, 1374, 543, 1599, 269, 898, 1058, 581, 5402, 2808, 538, 6935, 547, 519, 18180, 610, 1062, 621, 568, 7863, 267, 607, 1134, 607, 824, 2188, 971, 607, 15038, 267, 2450, 267, 543, 3337, 269, 1879, 5265, 4092, 543, 2966, 267, 513, 10006, 7382, 666, 3927, 1852, 6727, 2242, 538, 1216, 2095, 543, 2604, 267, 4180, 519, 6617, 543, 4398, 540, 519, 1062, 621, 568, 513, 851, 540, 563, 8196, 540, 31048, 26653, 454, 288, 10006, 7382, 267, 849, 1634, 607, 606, 7269, 7382, 267, 568, 606, 7533, 5057, 538, 519, 1374, 540, 17453, 1949, 267, 971, 607, 1216, 3892, 5121, 267, 19558, 1077, 2371, 267, 543, 3595, 4027, 1949, 269, 898, 568, 2966, 547, 1852, 519, 23644, 610, 6727, 2242, 538, 2095, 543, 2604, 1369, 513, 1062, 267, 3976, 4180, 922, 7123, 543, 3608, 5106, 563, 2080, 616, 930, 540, 519, 1292, 3096, 543, 2640, 540, 10006, 13688, 912, 272, 269, 3687, 30093, 4826, 8621, 1067, 281, 4826, 17200, 568, 513, 7613, 602, 4386, 950, 519, 2095, 540, 1216, 568, 10393, 11074, 610, 4957, 267, 2870, 513, 10006, 610, 2604, 21782, 538, 519, 1062, 269, 901, 666, 1291, 547, 10612, 3441, 543, 1256, 1062, 5821, 269, 634, 10006, 7382, 6411, 607, 513, 8710, 4726, 828, 267, 4227, 519, 17931, 540, 519, 2604, 10006, 543, 7303, 3441, 547, 519, 1062, 563, 273, 269, 3204, 6819, 3590, 16242, 281, 769, 513, 2046, 28962, 1216, 3892, 1062, 267, 519, 10006, 7382, 15387, 513, 3586, 2604, 676, 21716, 519, 4430, 1216, 950, 519, 3747, 568, 1970, 543, 16089, 621, 950, 519, 3747, 568, 1164, 269, 901, 11151, 2604, 15088, 543, 5849, 513, 5812, 3761, 540, 1216, 547, 6800, 563, 274, 269, 853, 8494, 1944, 10046, 281, 769, 513, 19558, 1077, 2030, 267, 519, 10006, 7382, 2337, 538, 15725, 519, 2095, 540, 1216, 547, 519, 18434, 269, 898, 3217, 538, 519, 4430, 1216, 1282, 519, 1164, 2095, 1974, 543, 13847, 621, 1282, 1970, 2095, 5712, 267, 4509, 513, 11931, 2095, 2557, 547, 519, 18434, 269, 901, 5849, 3608, 5106, 543, 6971, 519, 1981, 540, 17081, 3441, 563, 275, 269, 17073, 4826, 18242, 281, 31048, 13688, 616, 1419, 1031, 538, 3595, 4027, 1949, 547, 1683, 513, 15395, 1216, 3761, 1282, 18002, 269, 769, 2013, 540, 513, 6727, 2333, 538, 3747, 585, 1216, 267, 971, 607, 1282, 513, 3595, 267, 519, 10006, 7382, 666, 3761, 1216, 547, 519, 1062, 2394, 519, 15450, 666, 19856, 909, 741, 3977, 563, 276, 269, 14600, 580, 908, 4826, 13871, 2552, 8727, 281, 769, 513, 1216, 3892, 1062, 267, 519, 10006, 7382, 666, 957, 607, 513, 11064, 1996, 1761, 17694, 10024, 519, 1062, 269, 898, 25904, 519, 1292, 1216, 3761, 1282, 1970, 2095, 5712, 267, 7303, 1022, 17694, 689, 10024, 519, 3060, 563, 277, 269, 7665, 30093, 27124, 21252, 281, 634, 946, 540, 10006, 13688, 666, 849, 2087, 519, 4398, 540, 15450, 269, 1635, 4227, 519, 2604, 15088, 543, 4509, 513, 11931, 2095, 2557, 267, 10006, 13688, 666, 2569, 519, 5957, 543, 15237, 593, 15450, 267, 3976, 14178, 741, 14438, 543, 4227, 5826, 3790, 563, 1103, 3932, 267, 10006, 13688, 1404, 513, 2629, 1909, 538, 519, 1697, 8647, 540, 17453, 1949, 267, 4180, 741, 3106, 267, 6617, 267, 543, 4398, 269, 589, 1134, 27059, 543, 9738, 10006, 7382, 666, 4324, 513, 2039, 540, 1216, 1949, 267, 1818, 621, 606, 1898, 5057, 538, 1022, 17453, 5989, 1788, 563, 15650, 540, 31048, 26653, 454, 288, 10006, 7382, 267, 849, 1634, 607, 513, 10006, 12068, 610, 10006, 1852, 2497, 267, 568, 513, 4105, 5057, 540, 1082, 1216, 3892, 1949, 269, 898, 568, 513, 2497, 2966, 547, 10110, 6727, 2604, 2242, 543, 1216, 1147, 2471, 538, 27983, 267, 7863, 873, 689, 3441, 543, 10893, 21463, 538, 1216, 3761, 269, 31048, 13688, 616, 3335, 1336, 693, 519, 19654, 1439, 540, 513, 1216, 6765, 1062, 267, 971, 607, 538, 32394, 1379, 2371, 267, 1216, 3892, 1949, 267, 543, 824, 1216, 3761, 3785, 563, 2467, 616, 1614, 1292, 2010, 540, 10006, 13688, 267, 1142, 609, 922, 1378, 2189, 2934, 543, 3252, 281, 513, 2241, 10006, 7382, 267, 513, 1796, 335, 6559, 10006, 7382, 267, 543, 513, 1970, 268, 3650, 10006, 7382, 563, 272, 269, 11822, 31048, 26653, 454, 288, 2241, 10006, 7382, 568, 519, 1034, 1455, 1826, 543, 5161, 540, 513, 1804, 1216, 4859, 7382, 5116, 693, 519, 19654, 1439, 540, 513, 18180, 269, 898, 568, 3335, 9112, 593, 1164, 2666, 2282, 519, 1216, 3892, 1062, 543, 13333, 896, 8904, 269, 4438, 3339, 4238, 267, 519, 7382, 13978, 2407, 267, 3850, 585, 513, 3586, 543, 11931, 2095, 540, 1216, 269, 1879, 972, 568, 513, 6727, 10006, 540, 1216, 267, 519, 4430, 1216, 568, 9859, 883, 519, 7382, 267, 3976, 7303, 513, 2604, 2333, 538, 519, 18180, 563, 273, 269, 5776, 335, 6559, 31048, 26653, 454, 288, 1796, 335, 6559, 10006, 7382, 568, 513, 7381, 267, 7299, 10612, 609, 513, 1216, 6241, 693, 519, 5377, 269, 898, 568, 2356, 8704, 693, 519, 1439, 540, 513, 1279, 18180, 267, 543, 922, 4463, 568, 5462, 1759, 593, 519, 9588, 540, 519, 4397, 1216, 10006, 269, 1879, 519, 18180, 2833, 513, 10006, 538, 2604, 267, 519, 1216, 14380, 909, 519, 10612, 267, 735, 7675, 519, 2011, 1369, 519, 7382, 267, 3976, 4227, 519, 2604, 538, 519, 18180, 269, 1306, 519, 1216, 1377, 538, 519, 7382, 10301, 922, 5021, 4463, 267, 519, 4430, 1216, 29908, 856, 883, 513, 21383, 3118, 563, 274, 269, 8899, 6953, 1737, 31048, 26653, 454, 288, 1970, 268, 3650, 10006, 7382, 568, 3335, 1031, 538, 27983, 609, 1970, 5665, 9843, 267, 971, 607, 538, 12555, 1949, 269, 898, 5161, 540, 513, 8880, 7382, 602, 13462, 547, 519, 18180, 998, 606, 29504, 543, 606, 17752, 4092, 693, 1114, 6173, 725, 269, 4438, 3339, 5106, 267, 519, 7382, 3788, 4904, 609, 1216, 267, 543, 4430, 1216, 8928, 856, 998, 519, 17752, 269, 1879, 513, 10006, 540, 1216, 4386, 267, 519, 7382, 6411, 607, 513, 17280, 543, 25309, 519, 2604, 2242, 267, 7303, 3441, 547, 519, 18180, 563, 1103, 1840, 547, 519, 1614, 1292, 2010, 267, 972, 616, 849, 7463, 10006, 13688, 2966, 585, 1808, 3156, 267, 971, 607, 585, 1164, 25774, 1216, 3761, 1949, 267, 3595, 4027, 1949, 267, 543, 21394, 269, 31048, 13688, 666, 849, 581, 19040, 1759, 593, 741, 3337, 267, 971, 607, 9764, 610, 14328, 563, 1103, 3932, 267, 10006, 13688, 1404, 513, 2629, 1909, 538, 7863, 1216, 3892, 1949, 689, 3441, 3361, 676, 2604, 1147, 2471, 269, 1635, 7446, 519, 3617, 1826, 540, 10006, 7382, 585, 513, 1808, 1788, 267, 8030, 666, 2327, 513, 2922, 543, 6325, 1216, 3761, 585, 6800, 563, 1103, 3932, 267, 10006, 13688, 723, 1831, 606, 1898, 5057, 538, 1082, 17453, 1949, 269, 4256, 2702, 547, 10110, 2604, 15088, 543, 1683, 513, 3586, 3761, 540, 1216, 814, 7494, 4824, 519, 4398, 543, 10727, 540, 891, 1949, 269, 3245, 741, 18803, 20297, 607, 2241, 1930, 13688, 267, 10006, 13688, 723, 7960, 883, 1950, 3889, 1210, 4359, 4702, 2553, 269, 1306, 2029, 5170, 547, 4434, 267, 10006, 13688, 616, 2693, 547, 1831, 1256, 811, 3608, 543, 1942, 15807, 267, 1818, 873, 606, 16832, 3693, 538, 17453, 1949, 269, 1635, 1620, 519, 9238, 540, 10006, 13688, 543, 875, 789, 1599, 267, 8030, 666, 3927, 6451, 873, 883, 741, 6272, 543, 2327 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1782, 693, 519, 2557, 540, 19238, 373, 2568, 829, 544, 273, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 277, 692, 8340, 519, 1858, 540, 519, 4009, 4171, 15943, 568, 476, 6321, 4699, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 278, 692, 288, 4009, 15989, 568, 11303, 676, 513, 2619, 476, 273, 269, 276, 544, 2647, 269, 1403, 519, 1858, 540, 519, 2619, 568, 476, 13679, 544, 273, 1265, 519, 1858, 540, 519, 15989, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 279, 269, 272, 692, 1103, 519, 4137, 2016, 2630, 267, 1265, 519, 1858, 540, 26484, 3148, 281, 630, 5472, 7403, 616, 538, 4699, 2020, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 279, 269, 273, 692, 1103, 519, 4137, 2016, 2630, 267, 1265, 519, 1858, 540, 26484, 3148, 281, 630, 5472, 7403, 616, 538, 4699, 2020, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 279, 269, 274, 692, 1103, 519, 4137, 2016, 2630, 267, 1265, 519, 1858, 540, 26484, 3148, 281, 630, 5472, 7403, 616, 538, 4699, 2020, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 279, 269, 275, 692, 1103, 519, 4137, 2016, 2630, 267, 1265, 519, 1858, 540, 26484, 3148, 281, 630, 5472, 7403, 616, 538, 4699, 2020, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 279, 269, 276, 692, 1103, 519, 4137, 2016, 2630, 267, 1265, 519, 1858, 540, 26484, 3148, 281, 630, 5472, 7403, 616, 538, 4699, 2020, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 280, 692, 3080, 2427, 540, 513, 25521, 568, 476, 736, 4699, 543, 922, 3845, 689, 519, 6587, 2427, 568, 476, 1626, 4699, 269, 4855, 519, 1858, 540, 519, 25521, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1015, 692, 763, 3490, 540, 513, 25521, 568, 4278, 823, 621, 4463, 269, 1403, 922, 1858, 568, 476, 278, 6924, 4699, 273, 267, 1265, 519, 3490, 543, 519, 4463, 540, 519, 25521, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1556, 692, 8340, 519, 1858, 540, 519, 32077, 639, 267, 952, 922, 32377, 616, 476, 1789, 4699, 543, 476, 2190, 4699, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1321, 692, 2252, 519, 1858, 540, 513, 32077, 639, 568, 476, 12208, 4699, 273, 30548, 835, 540, 922, 32377, 568, 476, 1691, 4699, 267, 1265, 922, 824, 15497, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1724, 692, 3080, 2427, 540, 513, 25521, 568, 476, 1240, 4699, 543, 922, 1858, 568, 476, 14631, 4699, 273, 269, 4855, 519, 3845, 540, 519, 2016, 2427, 689, 922, 6587, 2427, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1691, 692, 763, 11105, 5011, 540, 513, 25521, 616, 476, 1428, 4699, 543, 476, 1015, 4699, 269, 1403, 519, 3845, 1063, 519, 3476, 5011, 568, 476, 277, 4699, 267, 1265, 519, 3845, 1063, 519, 10156, 5011, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1428, 692, 763, 1858, 540, 513, 32077, 639, 568, 476, 10019, 4699, 273, 543, 922, 15943, 568, 476, 6321, 4699, 269, 4855, 922, 4463, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1626, 692, 8340, 519, 1858, 540, 513, 6906, 4171, 3490, 568, 476, 1789, 4699, 543, 519, 4463, 568, 476, 1240, 4699, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1704, 692, 8340, 519, 4463, 540, 513, 6906, 4171, 3490, 568, 476, 1240, 4699, 543, 519, 1858, 568, 476, 17734, 4699, 273, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1240, 692, 763, 1858, 540, 513, 1318, 268, 22931, 6906, 568, 476, 8182, 4699, 273, 269, 1403, 922, 835, 1850, 568, 476, 1626, 4699, 1279, 267, 1265, 519, 3259, 540, 519, 824, 1850, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 866, 692, 8340, 519, 1858, 540, 513, 1318, 268, 22931, 6906, 4171, 30494, 568, 476, 1724, 4699, 1279, 543, 835, 540, 922, 7953, 568, 476, 1321, 4699, 1279, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 736, 692, 8340, 519, 1858, 540, 606, 31164, 6906, 4171, 1142, 2427, 568, 476, 1626, 4699, 269, 630, 12648, 21762, 274, 284, 476, 272, 269, 10463, 2020, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 2641, 692, 763, 5011, 540, 513, 6906, 616, 476, 2641, 4699, 267, 476, 1704, 4699, 267, 543, 476, 1015, 4699, 269, 4855, 922, 1858, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 2420, 692, 8340, 519, 1858, 540, 606, 568, 30801, 6906, 4171, 3490, 568, 476, 1626, 4699, 543, 519, 3259, 540, 1142, 540, 519, 3160, 5011, 568, 476, 1015, 4699, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 2537, 692, 8340, 519, 3490, 540, 513, 6906, 4171, 1858, 568, 476, 11740, 4699, 273, 543, 4463, 568, 476, 2190, 4699, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 2190, 692, 763, 7953, 540, 513, 1318, 268, 22931, 6906, 616, 538, 519, 5223, 476, 275, 2433, 476, 274, 543, 922, 1858, 568, 476, 28147, 277, 4699, 273, 269, 4855, 519, 3259, 540, 922, 7953, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1839, 692, 763, 1858, 540, 606, 31164, 6906, 568, 630, 5038, 16282, 6912, 274, 264, 4699, 273, 269, 4855, 519, 3259, 540, 1142, 2427, 540, 519, 6906, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 2918, 692, 763, 5011, 540, 513, 6906, 616, 538, 519, 5223, 476, 1428, 2433, 476, 1724, 2433, 476, 1691, 543, 922, 15943, 568, 476, 12739, 4699, 269, 4855, 519, 1858, 540, 519, 6906, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 2767, 692, 763, 8006, 540, 513, 5858, 568, 476, 736, 4699, 269, 14171, 12631, 815, 476, 274, 269, 1691, 267, 1265, 519, 18592, 543, 922, 1858, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 2764, 692, 763, 18592, 540, 513, 5858, 20489, 922, 8006, 676, 476, 1240, 4699, 269, 1265, 519, 8953, 540, 519, 5858, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 3066, 692, 763, 5223, 1063, 519, 8953, 540, 1079, 10580, 568, 476, 276, 2433, 476, 278, 269, 4855, 519, 5223, 1063, 741, 912, 9217, 264, 18592, 454, 23870, 264, 2127, 692, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 1789, 692, 763, 5223, 1063, 519, 2127, 540, 1079, 10580, 568, 476, 1626, 2433, 476, 280, 269, 4855, 519, 5223, 1063, 741, 10778, 23870, 264, 5603, 4394, 454, 31702, 264, 18592, 692, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 4029, 692, 288, 9764, 17040, 3950, 814, 6418, 18592, 476, 276, 2764, 544, 543, 9018, 18592, 476, 277, 1626, 544, 269, 4855, 519, 8700, 540, 519, 3950, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 3953, 692, 763, 6418, 18592, 540, 513, 9764, 3950, 568, 476, 25784, 544, 543, 519, 8700, 540, 519, 3950, 568, 476, 278, 544, 269, 4855, 912, 9217, 264, 519, 8953, 540, 519, 6418, 3950, 563, 23870, 264, 519, 8953, 540, 519, 9018, 18592, 563, 31702, 264, 519, 3259, 540, 519, 9018, 18592, 563, 263, 643, 264, 519, 1942, 540, 535, 9760, 519, 9018, 18592, 693, 519, 2557, 540, 19238, 373, 2004, 829, 544, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 3451, 692, 763, 8006, 540, 1169, 8868, 540, 513, 1286, 568, 476, 8287, 4699, 269, 1215, 1454, 3845, 786, 519, 1286, 1847, 1282, 519, 476, 1220, 271, 26201, 540, 922, 8868, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 4097, 692, 763, 8006, 540, 519, 8868, 540, 513, 1286, 568, 476, 3583, 4699, 269, 1215, 1082, 26201, 786, 621, 1118, 547, 2951, 835, 9481, 518, 2496, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 3374, 692, 288, 4496, 5911, 267, 950, 18761, 538, 519, 1106, 540, 513, 4009, 540, 4102, 1858, 267, 11700, 4680, 606, 1858, 540, 476, 4366, 275, 4699, 273, 269, 4855, 519, 3259, 540, 519, 5911, 269, 1403, 519, 1482, 5911, 568, 18761, 547, 519, 4102, 5858, 267, 1265, 912, 9217, 264, 8953, 540, 519, 5858, 4646, 563, 23870, 264, 1858, 540, 519, 5858, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 3607, 692, 288, 5911, 568, 2059, 519, 10465, 540, 513, 5858, 609, 513, 8953, 540, 476, 2764, 4699, 269, 1403, 519, 1482, 5911, 568, 18761, 538, 519, 1106, 540, 513, 4009, 267, 1265, 519, 1858, 540, 519, 4009, 4646, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 4391, 692, 763, 3259, 543, 519, 4560, 540, 513, 14328, 1957, 616, 476, 3374, 4699, 543, 476, 2420, 4699, 269, 4855, 519, 1858, 540, 519, 4102, 5858, 799, 666, 581, 2759, 856, 540, 713, 1957, 780, 19865, 476, 736, 630, 289, 264, 1923, 1627, 476, 4343, 692, 5804, 1142, 7944, 540, 513, 14328, 1957, 630, 1789, 4699, 1535, 476, 736, 4699, 264, 513, 9076, 656, 540, 513, 5858, 540, 8953, 476, 278, 4699, 568, 2759, 269, 4855, 519, 1858, 540, 519, 6967, 1957, 1775, 4318, 1421, 26484, 6712, 780, 1012, 3848, 476, 736, 281, 631, 839, 4851, 692, 19865, 476, 736, 630, 288, 264, 19865, 476, 736, 630, 289, 2020, 1012, 17286, 2088, 3435, 585, 19270, 1047, 9119, 4147, 476, 278, 594, 17698, 3184, 476, 736, 910, 631, 839, 4851, 692, 306, 601, 2088, 3435, 585, 19270, 1047, 9119, 4147, 476, 278, 594, 17698, 3184, 476, 736, 630, 300, 839, 4851, 264, 1331, 782, 2055, 609, 3070, 543, 1469, 7778, 269, 901, 786, 2312, 1053, 22027, 827, 1022, 2243, 543, 2087, 3498, 1983, 1247, 8600, 585, 4604, 11400, 269, 634, 2143, 267, 1900, 8386, 9912, 3435, 786, 948, 596, 1174, 519, 2035, 1732, 543, 2312, 707, 1476, 16272, 267, 952, 1022, 269, 32599, 8403, 320, 2593, 814, 519, 595, 3041, 4753, 19270, 1047, 9119, 4147, 476, 278, 594, 17698, 3435, 538, 513, 6073, 602, 948, 1053, 9787, 2596, 2035, 1732, 543, 5488, 780, 10702, 267, 649, 693, 32599, 8403, 320, 2593, 1683, 971, 3435, 865, 602, 1053, 666, 5965, 585, 2854, 11400, 269, 17286, 2088, 1837, 3435, 666, 581, 513, 4295, 948, 585, 1582, 24713, 344, 543, 6411, 607, 513, 3501, 1582, 25298, 5583, 585, 1053, 780, 3519, 32383, 4988, 538, 19270, 1047, 9119, 4147, 476, 278, 594, 17698, 3184, 476, 736, 631, 839, 4851, 616, 10417, 540, 9351, 267, 10417, 540, 20970, 4635, 513, 9978, 5149, 9351, 540, 513, 12384, 267, 25351, 4120, 267, 21121, 267, 23155, 6945, 543, 17781, 267, 681, 902, 543, 10395, 1441, 22955, 1421, 10417, 540, 32309, 267, 8562, 636, 12401, 540, 513, 17781, 267, 631, 839, 4851, 780, 8794, 17286, 2088, 4147, 476, 278, 3435, 631, 839, 4851, 3635, 676, 1053, 616, 606, 2653, 1259, 547, 5965, 585, 519, 11400, 267, 607, 789, 4125, 3435, 11231, 3184, 30150, 849, 2985, 8797, 269, 634, 2055, 3238, 538, 17286, 2088, 10298, 616, 1271, 2055, 602, 666, 581, 4280, 538, 519, 3803, 981, 269, 26228, 1053, 540, 595, 3041, 4753, 4147, 476, 278, 4782, 17286, 2088, 30930, 10298, 547, 6060, 811, 538, 981, 780, 7476, 519, 1863, 2070, 540, 3184, 476, 736, 631, 839, 4851, 4147, 476, 278, 3063, 2055, 585, 19270, 1047, 9119, 4147, 476, 278, 594, 17698, 543, 666, 946, 32599, 8403, 320, 2593, 547, 1832, 621, 13561, 585, 707, 981, 7041, 0, 12812, 547, 13378, 692, 5197, 271, 268, 1220, 271, 268, 279, 4343, 692, 266, 11011, 268, 6344, 268, 5379, 272, 20981, 271, 692, 290, 11286, 476, 271, 692, 1892, 476, 271, 692, 300, 312, 595, 11286, 630, 276, 2020, 8196, 595, 19281, 517, 281, 595, 11286, 736, 543, 1205, 476, 736, 260, 1055, 593, 782, 2228, 5530, 7698, 692, 3951, 4932, 454, 291, 4953, 288, 6579, 306, 454, 300, 14641, 454, 291, 3041, 4596, 7419, 307, 454, 293, 2562, 3201, 11553, 21201, 454, 13707, 12313, 281, 681, 692, 2467, 616, 1100, 3688, 538, 713, 7047, 563, 25594, 19255, 4771, 454, 7476, 8216, 476, 736, 260, 5508, 293, 593, 6732, 7698, 563, 322, 19281, 517, 3009, 281, 631, 15477, 736, 1923, 7348, 6092, 1592, 692, 1892, 13159, 8212, 6092, 910, 4147, 476, 1556, 454, 1892, 5508, 29052, 3633, 11553, 21201, 281, 681, 476, 273, 267, 8517, 454, 1892, 7348, 19672, 454, 7476, 3063, 681, 476, 273, 267, 8517, 1055, 454, 27516, 2910, 14701, 281, 669, 7159, 277, 692, 3499, 20930, 567, 589, 1560, 9991, 689, 1964, 6227, 9883, 521, 272, 543, 521, 273, 538, 1101, 543, 2034, 7643, 6606, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18550, 476, 1626, 267, 476, 1001, 280, 282, 4964, 540, 9533, 4975, 454, 763, 18094, 540, 1164, 14774, 543, 10867, 9019, 3928, 1851, 4563, 2021, 568, 1631, 1373, 9619, 538, 513, 1360, 1114, 1259, 538, 1715, 14948, 267, 3081, 681, 976, 3873, 16299, 3205, 267, 519, 3654, 5055, 6205, 585, 519, 8828, 1715, 14948, 3131, 514, 7614, 31913, 779, 13245, 6468, 267, 13245, 19198, 1982, 269, 634, 1982, 14884, 4563, 2021, 547, 957, 607, 2200, 585, 824, 9176, 4563, 2021, 1354, 267, 1282, 267, 543, 1310, 4332, 269, 1358, 616, 711, 2564, 4648, 267, 855, 789, 948, 2021, 1205, 1018, 789, 991, 538, 2474, 540, 1344, 267, 2533, 267, 543, 3007, 269, 4256, 2533, 616, 1863, 563, 3080, 3993, 267, 22767, 7534, 6519, 267, 3081, 519, 2533, 960, 1472, 519, 2115, 540, 519, 3993, 269, 2311, 835, 1448, 2063, 3923, 267, 1352, 3081, 267, 1352, 7691, 602, 1200, 4816, 7012, 1406, 3001, 267, 865, 1352, 1572, 1200, 3654, 5055, 267, 945, 15695, 1200, 547, 9114, 593, 1200, 1318, 2427, 543, 4235, 1216, 563, 2108, 2026, 4166, 607, 594, 1705, 602, 267, 646, 3323, 3001, 1586, 2223, 6519, 1767, 269, 968, 4517, 1287, 1352, 1257, 539, 803, 519, 1985, 6640, 547, 1118, 2386, 3388, 729, 15528, 269, 634, 7189, 1810, 1406, 798, 602, 267, 865, 594, 899, 1373, 2111, 547, 723, 513, 1246, 5346, 26063, 3034, 2467, 616, 513, 1297, 540, 5121, 540, 4563, 3654, 20393, 1472, 519, 2136, 2276, 267, 543, 2810, 3007, 814, 1044, 6976, 547, 519, 2259, 607, 14774, 543, 10867, 9019, 3928, 538, 519, 4563, 2146, 723, 7283, 2484, 2362, 982, 538, 3043, 2950, 1765, 16838, 267, 2687, 547, 713, 2376, 676, 27692, 16645, 541, 6242, 538, 519, 1715, 3840, 8648, 267, 2066, 1362, 3515, 563, 14294, 909, 585, 938, 1863, 3377, 24393, 454, 29771, 547, 26128, 304, 781, 3377, 24393, 547, 723, 938, 1283, 2984, 9447, 2047, 547, 707, 28600, 563, 763, 4128, 585, 519, 3109, 22554, 7941, 538, 1312, 10867, 543, 14774, 9019, 723, 1044, 23503, 676, 3173, 543, 7189, 585, 811, 982, 1079, 5756, 269, 1809, 5063, 972, 814, 1044, 3395, 10343, 540, 1018, 814, 7361, 1044, 267, 585, 519, 2564, 10661, 267, 513, 26648, 2856, 281, 1280, 3109, 2021, 538, 3013, 267, 606, 538, 525, 5115, 762, 5790, 540, 6848, 543, 11528, 10168, 666, 1711, 513, 2186, 540, 6757, 12214, 2566, 267, 4611, 538, 2175, 31251, 13119, 543, 840, 3887, 743, 10102, 807, 20196, 1291, 2047, 547, 2362, 3928, 540, 10867, 543, 14774, 2669, 269, 1656, 602, 6848, 10168, 568, 2417, 6829, 538, 513, 24245, 267, 32618, 7292, 9186, 538, 1072, 1416, 31251, 519, 14962, 531, 540, 16048, 4145, 543, 2589, 20196, 666, 948, 2491, 4057, 4332, 4093, 1256, 538, 519, 2013, 540, 3109, 2021, 609, 519, 1034, 5383, 563, 1607, 13187, 585, 2484, 811, 982, 8806, 513, 2564, 1935, 269, 1715, 14948, 29583, 269, 5845, 32298, 568, 513, 4412, 9426, 540, 519, 1982, 267, 799, 568, 1631, 14102, 7361, 998, 519, 4972, 540, 2657, 269, 32298, 568, 3981, 532, 602, 519, 1533, 14736, 538, 1776, 1269, 272, 2929, 563, 10527, 5013, 616, 795, 18732, 2223, 1496, 300, 584, 19148, 316, 1767, 267, 6031, 1715, 14948, 814, 835, 540, 519, 5207, 3928, 540, 14774, 9019, 538, 519, 2197, 269, 968, 10214, 8338, 267, 476, 2568, 2600, 540, 1007, 11299, 945, 5884, 1317, 540, 8374, 689, 27638, 616, 2021, 540, 2681, 269, 589, 3109, 4816, 538, 1715, 14948, 568, 1614, 2053, 811, 2693, 547, 5884, 538, 1010, 610, 1200, 1101, 1032, 540, 1272, 982, 513, 3043, 4816, 9789, 11097, 652, 7292, 29373, 538, 519, 4182, 2223, 32298, 1767, 269, 968, 8469, 25813, 6227, 476, 2412, 2600, 540, 782, 1126, 321, 597, 2195, 538, 1715, 14948, 11652, 891, 9002, 17330, 513, 4960, 607, 1454, 607, 1022, 824, 3034, 6124, 3840, 779, 17135, 12448, 19923, 27622, 814, 13974, 15685, 909, 27083, 7482, 585, 513, 12681, 1982, 1818, 946, 540, 3654, 20393, 538, 1715, 3840, 267, 543, 3292, 723, 849, 1044, 7796, 6838, 538, 16506, 543, 14822, 269, 901, 2376, 538, 634, 12338, 267, 1572, 968, 1432, 621, 779, 6145, 547, 581, 513, 8935, 5055, 540, 7822, 2223, 2488, 513, 1297, 540, 3638, 267, 1101, 1268, 18759, 593, 875, 519, 3292, 960, 543, 1946, 789, 616, 865, 21354, 2877, 23102, 305, 3578, 15966, 600, 8822, 0, 8649, 7701, 700, 269, 595, 1638, 523, 454, 300, 1228, 14979, 654, 269, 16690, 333, 3150, 454, 288, 4116, 28352, 713, 1826, 540, 2123, 18340, 538, 519, 4928, 547, 948, 1053, 1118, 2631, 540, 8454, 543, 5968, 2093, 563, 2750, 600, 1456, 519, 23656, 566, 540, 6906, 7516, 543, 1858, 3091, 513, 12166, 2796, 602, 2306, 7421, 513, 4062, 3772, 1599, 4443, 585, 1053, 563, 297, 612, 3821, 13100, 3205, 21674, 267, 23436, 700, 269, 30340, 267, 27950, 18724, 21492, 267, 11969, 20462, 589, 269, 10218, 267, 543, 12844, 22448, 623, 269, 5576, 1952, 16279, 454, 6701, 707, 1053, 2942, 827, 9981, 286, 6435, 873, 1995, 25273, 543, 7772, 3257, 8870, 12980, 2336, 290, 22620, 2284, 16737, 543, 17555, 1546, 297, 541, 6339, 974, 454, 1607, 2407, 1770, 538, 29890, 12857, 519, 1158, 1216, 6433, 269, 4841, 4497, 538, 1483, 8996, 1966, 9010, 2238, 602, 1569, 476, 2641, 560, 10601, 1983, 1247, 1565, 6128, 563, 8794, 2243, 476, 2764, 689, 519, 2904, 10819, 547, 623, 16093, 538, 4320, 476, 14625, 267, 519, 2278, 543, 1200, 18749, 268, 543, 21632, 17263, 1053, 9250, 883, 513, 4901, 540, 5876, 267, 5276, 640, 267, 4062, 3772, 267, 543, 25276, 8847, 540, 3252, 269, 901, 4806, 547, 31739, 3177, 3638, 6310, 3255, 585, 782, 1053, 538, 1250, 1647, 1153, 4928, 563, 300, 14709, 21984, 3429, 543, 19378, 16016, 14993, 807, 454, 3682, 21793, 547, 623, 16093, 2488, 476, 2764, 8795, 267, 4928, 268, 2819, 6128, 2042, 602, 15217, 12732, 623, 298, 1700, 1321, 267, 11231, 538, 519, 1931, 540, 519, 3446, 1377, 269, 12226, 547, 519, 2042, 616, 2139, 2228, 269, 15706, 616, 9415, 547, 10505, 513, 1966, 610, 513, 4015, 540, 2042, 2047, 547, 4757, 11333, 2593, 269, 1403, 3370, 267, 519, 4589, 540, 2042, 786, 581, 17019, 563, 10111, 13238, 1635, 6113, 24125, 7921, 267, 1261, 1430, 5696, 2280, 545, 4149, 1222, 2917, 267, 27813, 631, 269, 4223, 1492, 9749, 267, 543, 12832, 1961, 631, 269, 5062, 10468, 559, 454, 9556, 1518, 12980, 1966, 12043, 547, 1118, 519, 22228, 3830, 2497, 811, 12001, 269, 1284, 4766, 713, 2259, 543, 1614, 3606, 2963, 2861, 2853, 281, 630, 272, 264, 10962, 519, 3160, 1129, 3544, 540, 12980, 267, 630, 273, 264, 598, 920, 28467, 535, 8172, 2238, 267, 543, 630, 274, 264, 9236, 543, 7713, 1114, 1966, 12043, 543, 1966, 9010, 2994, 563, 289, 996, 700, 269, 5839, 291, 10735, 267, 667, 10005, 700, 269, 631, 1601, 23463, 543, 25014, 3821, 670, 269, 15391, 454, 1103, 713, 2376, 267, 649, 2263, 875, 4730, 609, 2531, 3626, 525, 711, 1152, 3340, 1053, 547, 1293, 855, 849, 547, 1016, 527, 1125, 950, 14335, 1297, 543, 4238, 269, 0, 19138, 5036, 267, 9499, 267, 2055, 454, 10000, 14079, 547, 4894, 18537, 454, 307, 8084, 476, 1556, 18103, 1229, 623, 4202, 543, 519, 1773, 2033, 1510, 5961, 454, 24404, 916, 538, 713, 1305, 630, 1321, 994, 1607, 568, 1031, 547, 12398, 2798, 538, 513, 7077, 1210, 606, 10288, 6292, 540, 2338, 563, 288, 8880, 1899, 8429, 998, 519, 5169, 602, 2882, 1312, 2318, 543, 2942, 2338, 563, 288, 7299, 1899, 8429, 998, 519, 5169, 602, 2882, 1312, 2318, 543, 2942, 2338, 563, 763, 1448, 1141, 519, 1079, 17887, 540, 513, 11282, 7077, 12969, 269, 898, 568, 6719, 676, 519, 10288, 6292, 630, 271, 267, 271, 1916, 288, 6292, 540, 2338, 1031, 547, 12398, 513, 1448, 593, 519, 11282, 7852, 563, 763, 1101, 1297, 538, 606, 10288, 6292, 267, 799, 4408, 519, 3845, 547, 519, 1318, 610, 2451, 689, 519, 5169, 2059, 519, 1535, 14289, 563, 763, 2034, 1297, 538, 606, 10288, 6292, 267, 799, 4408, 519, 3845, 909, 610, 1524, 689, 5169, 2059, 519, 586, 14289, 563, 288, 4806, 1141, 7222, 2418, 616, 1644, 676, 1840, 563, 288, 3349, 540, 1644, 2418, 563, 288, 4806, 1141, 7222, 2418, 616, 1644, 676, 8691, 563, 288, 6310, 4845, 602, 3096, 606, 3160, 1129, 547, 1397, 519, 1079, 7215, 723, 519, 1482, 1871, 563, 288, 6310, 8360, 5473, 513, 4756, 610, 4632, 267, 2338, 543, 606, 5106, 563, 8448, 5036, 676, 713, 17082, 454, 26296, 17402, 18500, 267, 609, 3182, 7498, 307, 8084, 476, 1556, 18103, 1229, 623, 4202, 543, 519, 1773, 2033, 18854, 7498, 307, 8084, 476, 1015, 25285, 543, 12307, 454, 290, 2753, 2782, 1510, 5961, 0, 19284, 2370, 6675, 267, 6915, 7966, 10270, 583, 11986, 4755, 547, 581, 14453, 6878, 602, 616, 3812, 689, 2713, 14471, 269, 1358, 616, 8246, 585, 519, 2126, 540, 513, 3099, 540, 2564, 2175, 563, 18693, 2684, 1301, 10270, 583, 11986, 666, 581, 1500, 676, 513, 3099, 540, 2409, 269, 1280, 1383, 2073, 789, 949, 581, 3812, 689, 1480, 1373, 2281, 610, 5310, 4551, 269, 11153, 2409, 4125, 16220, 556, 3613, 19099, 631, 5366, 269, 1358, 616, 2731, 607, 1134, 3812, 689, 8863, 302, 16052, 3515, 269, 1358, 616, 2356, 16916, 538, 1979, 648, 716, 832, 563, 27807, 7966, 10270, 583, 11986, 616, 2808, 547, 581, 519, 2104, 540, 3782, 269, 1358, 616, 4397, 547, 581, 1031, 538, 1007, 14319, 267, 799, 786, 948, 2333, 519, 12046, 1184, 543, 1020, 519, 1560, 779, 4390, 269, 4437, 27370, 1670, 812, 13402, 5061, 949, 581, 10930, 982, 1022, 824, 2409, 269, 4746, 267, 789, 616, 1634, 585, 741, 713, 2022, 13476, 7874, 1646, 563, 18693, 2684, 1301, 10270, 583, 11986, 786, 581, 3812, 998, 4359, 5663, 2409, 269, 1703, 568, 513, 1950, 5943, 269, 1358, 616, 476, 273, 4627, 547, 21318, 540, 2053, 8273, 982, 1507, 6675, 269, 1358, 616, 1500, 946, 540, 538, 1114, 2564, 5574, 267, 1519, 1491, 1416, 540, 6219, 5829, 4713, 267, 30279, 3599, 267, 543, 10081, 9404, 29774, 4713, 269, 1358, 616, 849, 8246, 538, 10074, 563, 18693, 2684, 1301, 10270, 583, 11986, 616, 1031, 538, 519, 1121, 539, 3539, 540, 30279, 3599, 543, 26679, 269, 769, 1840, 267, 789, 1404, 513, 1909, 538, 519, 2126, 540, 5312, 2175, 267, 971, 607, 11560, 17881, 846, 269, 1358, 666, 2087, 2634, 1599, 543, 1020, 519, 4761, 1062, 269, 1358, 786, 2569, 519, 10171, 540, 13027, 6547, 563, 18693, 27370, 1670, 5061, 1522, 2272, 585, 1256, 811, 982, 3368, 540, 519, 1283, 476, 1911, 579, 916, 28739, 560, 1046, 5061, 3274, 676, 476, 1708, 277, 269, 769, 1840, 2073, 519, 1297, 540, 1979, 27370, 10999, 14475, 5061, 568, 2810, 7930, 269, 634, 4436, 2229, 2115, 1979, 2684, 1301, 11914, 338, 547, 2272, 585, 17288, 19317, 2600, 540, 1007, 11955, 676, 3274, 476, 10711, 271, 269, 0, 303, 19948, 593, 6249, 281, 834, 12507, 8767, 8889, 12833, 11510, 9013, 519, 2724, 3761, 547, 1689, 519, 1377, 540, 12654, 610, 519, 2557, 540, 10637, 1701, 1765, 19809, 13973, 912, 12507, 8767, 8889, 12833, 11510, 9013, 519, 2724, 3761, 547, 1689, 519, 1377, 540, 12654, 610, 519, 2557, 540, 10637, 563, 763, 14559, 18242, 634, 2724, 3761, 568, 2799, 950, 8492, 1118, 12029, 269, 634, 811, 12029, 8492, 1118, 519, 811, 2724, 972, 568, 538, 10009, 269, 634, 12948, 1062, 666, 1711, 12029, 538, 23385, 540, 606, 3312, 10211, 269, 634, 2724, 3761, 568, 8519, 950, 513, 4871, 610, 519, 1857, 1207, 903, 2229, 7554, 563, 289, 21403, 1763, 12883, 1763, 12883, 616, 519, 2179, 540, 12074, 602, 513, 4871, 814, 7608, 855, 711, 10211, 539, 856, 269, 22490, 14425, 616, 519, 2179, 513, 4871, 1590, 1832, 593, 1688, 676, 1876, 269, 634, 2838, 15395, 5223, 11887, 713, 2179, 269, 21418, 14425, 616, 8726, 519, 4871, 814, 936, 543, 1657, 519, 2838, 14425, 269, 898, 568, 519, 2179, 602, 513, 4871, 666, 10211, 856, 610, 946, 547, 6718, 2229, 19736, 630, 2548, 1091, 1916, 300, 2292, 20520, 14559, 5137, 630, 1584, 1154, 1007, 2724, 883, 10009, 264, 4386, 950, 8492, 1118, 12029, 547, 519, 1857, 563, 12507, 8767, 8889, 13088, 634, 8549, 15944, 8060, 519, 2179, 540, 4430, 14425, 543, 2724, 5137, 998, 946, 540, 922, 1614, 2645, 269, 15944, 21976, 5494, 870, 15580, 7046, 10369, 15051, 454, 293, 3985, 15944, 13088, 22490, 15944, 22472, 1107, 519, 6871, 540, 3747, 12074, 513, 4871, 1590, 1832, 593, 1688, 585, 5561, 685, 11198, 1023, 269, 898, 11887, 875, 1454, 540, 513, 4871, 779, 12074, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 3873, 515, 539, 4144, 13195, 476, 1708, 274, 281, 5272, 1032, 32599, 515, 539, 4144, 13195, 1554, 568, 4767, 593, 4728, 476, 2537, 547, 22632, 519, 12703, 5191, 25881, 945, 14894, 539, 741, 2729, 1247, 8165, 512, 1996, 3703, 4341, 269, 8422, 5191, 25881, 910, 13225, 698, 520, 19453, 267, 1744, 643, 541, 600, 14076, 326, 15843, 543, 2672, 16223, 22563, 774, 777, 541, 941, 554, 6548, 547, 2669, 538, 700, 1695, 648, 21569, 630, 9690, 569, 538, 9031, 264, 593, 713, 1554, 585, 741, 1909, 538, 808, 623, 590, 16184, 619, 262, 12638, 543, 22215, 519, 6239, 22694, 894, 13909, 269, 2311, 602, 942, 267, 13225, 698, 520, 19453, 729, 476, 2537, 1296, 2025, 267, 1247, 14076, 326, 15843, 729, 476, 2420, 543, 2672, 16223, 22563, 729, 476, 2537, 1296, 2025, 563, 306, 3873, 515, 539, 4144, 13195, 476, 1708, 274, 281, 11261, 454, 19328, 32625, 32599, 515, 539, 4144, 13195, 593, 4728, 476, 2537, 1169, 1032, 547, 2628, 24744, 547, 519, 12703, 7980, 945, 14894, 539, 741, 2729, 585, 519, 2197, 269, 901, 1554, 19595, 721, 547, 581, 18507, 585, 741, 3646, 538, 7863, 519, 4182, 543, 922, 1004, 563, 306, 3873, 515, 539, 4144, 13195, 281, 3778, 454, 306, 3873, 515, 539, 4144, 13195, 6585, 1390, 3140, 2956, 607, 621, 7436, 519, 1554, 538, 476, 4350, 272, 950, 13225, 698, 520, 19453, 267, 1744, 643, 541, 600, 14076, 326, 15843, 267, 543, 2672, 16223, 22563, 774, 777, 541, 941, 554, 6548, 547, 2669, 585, 741, 9295, 547, 3127, 781, 7115, 269, 634, 5518, 543, 11788, 10579, 267, 2059, 609, 824, 26110, 267, 22632, 519, 7980, 945, 14894, 539, 741, 2729, 585, 519, 4182, 269, 589, 1079, 18826, 16563, 568, 4767, 538, 741, 3965, 563, 306, 3873, 515, 539, 4144, 13195, 281, 19043, 454, 306, 3873, 515, 539, 4144, 13195, 568, 513, 1554, 547, 3314, 543, 22632, 519, 12703, 5191, 25881, 945, 14894, 539, 741, 2729, 585, 3127, 781, 7115, 269, 898, 568, 849, 513, 1554, 547, 2628, 24744, 547, 8575, 32257, 19413, 267, 945, 6273, 1004, 609, 1010, 3741, 540, 5168, 543, 1875, 8686, 2723, 775, 269, 2201, 32599, 515, 539, 4144, 13195, 267, 3506, 538, 3127, 1418, 1047, 9840, 267, 1557, 733, 3949, 267, 13348, 5328, 4249, 267, 543, 2686, 2238, 547, 8300, 519, 7820, 5108, 547, 1451, 827, 519, 24279, 1500, 676, 741, 11937, 585, 519, 4182, 781, 5191, 269, 901, 1554, 568, 4767, 607, 513, 24744, 547, 519, 12703, 5191, 25881, 945, 9788, 1524, 741, 2729, 585, 3127, 781, 7115, 269, 0, 7049, 17462, 568, 513, 1808, 3656, 2165, 269, 1403, 1945, 568, 9286, 607, 21393, 267, 621, 791, 4680, 513, 5539, 547, 957, 593, 1312, 1367, 2829, 543, 519, 3486, 2146, 563, 1607, 2882, 519, 5539, 547, 2061, 21393, 1141, 2009, 267, 547, 9718, 2950, 896, 4323, 267, 543, 547, 21991, 1393, 896, 3486, 1876, 1346, 3743, 563, 2005, 5526, 513, 8908, 6571, 786, 581, 9184, 1194, 585, 519, 1985, 726, 32418, 8400, 540, 519, 3864, 12057, 2038, 1985, 3923, 538, 1931, 547, 19665, 607, 21393, 519, 32012, 885, 8149, 676, 9099, 3557, 1996, 10271, 267, 962, 1794, 573, 529, 543, 824, 3909, 543, 6803, 18441, 538, 12925, 543, 16850, 563, 302, 11017, 542, 568, 5258, 267, 543, 711, 1175, 538, 519, 3864, 12057, 563, 4785, 16232, 10457, 10830, 776, 22735, 267, 23413, 30434, 267, 3057, 1723, 11676, 1470, 267, 8614, 321, 17312, 267, 19375, 670, 3089, 629, 2465, 543, 9410, 744, 262, 300, 531, 2917, 782, 723, 1031, 519, 2165, 834, 2102, 17462, 257, 547, 4766, 519, 3510, 269, 1656, 540, 1576, 267, 18496, 11686, 568, 1360, 6126, 547, 798, 865, 563, 763, 15525, 7245, 568, 8348, 547, 19665, 519, 8942, 547, 608, 32558, 622, 519, 962, 1794, 573, 529, 607, 21393, 267, 855, 786, 711, 946, 519, 2165, 585, 10271, 563, 20118, 267, 13584, 8176, 11099, 519, 20655, 540, 10271, 543, 1866, 13054, 21393, 267, 1247, 6424, 23759, 517, 779, 2229, 568, 26997, 547, 3858, 563, 763, 19385, 766, 14340, 689, 513, 1297, 540, 2188, 267, 1519, 11880, 3050, 563, 1103, 519, 2013, 540, 519, 2475, 267, 20422, 4218, 5928, 723, 16053, 519, 25680, 4539, 585, 10271, 4611, 689, 1977, 4914, 3609, 563, 303, 2100, 3627, 6754, 4083, 2366, 9315, 1400, 623, 1470, 20698, 6062, 538, 476, 1220, 274, 547, 5418, 611, 609, 6723, 17312, 711, 547, 17551, 2112, 593, 12925, 267, 1317, 513, 6537, 13050, 2112, 4611, 538, 2101, 25096, 1131, 581, 17149, 269, 1261, 5143, 519, 7022, 519, 3148, 1131, 581, 3186, 8494, 2213, 267, 7292, 543, 6803, 13253, 1131, 15583, 622, 267, 543, 513, 3152, 575, 5285, 1063, 10271, 543, 12356, 1131, 581, 2813, 563, 24730, 17312, 1705, 711, 6432, 563, 2026, 513, 6129, 14269, 25412, 1010, 786, 593, 519, 1744, 807, 5354, 538, 1419, 22266, 2081, 267, 590, 5417, 600, 26036, 572, 514, 5156, 602, 267, 607, 1776, 12102, 267, 10271, 941, 3730, 547, 1864, 269, 1879, 590, 5417, 600, 729, 547, 653, 1194, 267, 519, 2395, 540, 3448, 3354, 8694, 585, 10271, 269, 1358, 616, 1631, 538, 18205, 8594, 540, 1373, 4625, 530, 21317, 856, 538, 2694, 540, 12925, 563, 763, 5664, 5101, 568, 513, 3810, 1950, 3148, 267, 609, 6385, 13346, 24816, 269, 769, 513, 3730, 4062, 538, 519, 9533, 538, 4728, 476, 1001, 276, 267, 26795, 11511, 985, 24849, 6257, 519, 2242, 538, 3347, 1851, 17740, 656, 9099, 4909, 626, 2516, 267, 585, 1383, 9477, 875, 9099, 3557, 6410, 689, 1373, 28930, 919, 540, 620, 29841, 320, 20364, 547, 30347, 563, 13731, 2103, 723, 849, 3006, 19385, 14688, 24027, 2933, 20833, 547, 30380, 17710, 971, 607, 645, 1662, 541, 620, 5025, 1087, 611, 1317, 972, 568, 1100, 1732, 4244, 563, 763, 3979, 605, 14620, 32141, 602, 950, 19246, 4339, 267, 621, 568, 519, 6371, 602, 4991, 911, 332, 9482, 269, 10271, 723, 1419, 1336, 2933, 538, 519, 2990, 540, 519, 6371, 563, 4407, 6723, 17312, 1522, 1044, 31464, 547, 3398, 519, 25680, 4539, 9315, 1400, 20698, 6062, 10567, 267, 519, 15525, 7245, 31439, 547, 19665, 3527, 1996, 10271, 607, 21393, 563, 1103, 4334, 267, 1866, 616, 8348, 547, 17908, 519, 7965, 540, 10271, 538, 1931, 547, 5806, 3729, 1996, 12356, 267, 585, 1383, 267, 14957, 3850, 1152, 4168, 15076, 883, 741, 2477, 269, 3502, 1152, 568, 713, 606, 17946, 2077, 1014, 1935, 267, 621, 5337, 2803, 519, 4641, 602, 519, 5354, 540, 9601, 540, 9099, 3557, 616, 12356, 563, 763, 6129, 14269, 270, 4537, 807, 7941, 7389, 1394, 547, 519, 18749, 2540, 267, 547, 513, 15539, 936, 945, 1058, 8011, 17124, 607, 6205, 540, 519, 9099, 2146, 563, 2414, 1533, 602, 12356, 723, 1044, 5258, 2479, 2094, 568, 5786, 626, 269, 769, 1082, 2477, 267, 519, 6129, 14269, 543, 1744, 807, 1249, 687, 954, 3405, 3072, 543, 23091, 269, 1717, 267, 547, 2161, 602, 24396, 13882, 1404, 1100, 851, 693, 782, 267, 543, 602, 621, 568, 3274, 782, 827, 1379, 543, 3282, 267, 568, 8449, 5187, 2065, 563, 26576, 545, 3557, 8057, 689, 519, 6129, 14269, 1249, 542, 267, 543, 24271, 559, 612, 569, 30201, 1393, 519, 1744, 807, 267, 607, 1134, 607, 1022, 6129, 14269, 789, 3494, 14543, 547, 2743, 9099, 4441, 269, 30052, 267, 10271, 616, 711, 519, 1152, 9601, 269, 1809, 789, 616, 1373, 18928, 6098, 563, 763, 6167, 4214, 540, 21393, 3340, 519, 3527, 3144, 1996, 513, 1895, 540, 1004, 547, 581, 968, 1260, 4784, 609, 8247, 547, 6861, 267, 538, 2898, 610, 538, 851, 267, 513, 3084, 267, 6803, 267, 7292, 610, 3909, 1895, 9731, 1692, 3116, 1131, 596, 19665, 519, 1163, 13955, 689, 4025, 789, 723, 20948, 585, 5553, 267, 519, 7142, 7503, 267, 22149, 543, 17760, 29713, 540, 2021, 543, 1453, 267, 25711, 267, 581, 3650, 902, 543, 2527, 659, 637, 540, 10271, 543, 1866, 4849, 607, 21393, 888, 299, 603, 10224, 807, 814, 2907, 5293, 513, 25931, 6571, 10912, 585, 891, 10963, 547, 581, 18931, 607, 21393, 563, 763, 6571, 10530, 519, 3948, 538, 4728, 476, 1001, 276, 676, 519, 8433, 540, 519, 2136, 8315, 4400, 30934, 585, 5274, 7126, 267, 3823, 834, 312, 1794, 573, 529, 267, 10271, 267, 12395, 5443, 267, 17939, 20660, 5336, 663, 324, 753, 267, 918, 10440, 262, 324, 267, 27956, 1091, 543, 1744, 807, 2580, 799, 2829, 602, 834, 527, 568, 10257, 547, 9959, 602, 930, 540, 1346, 13685, 949, 13822, 21393, 269, 4033, 13685, 949, 2179, 547, 10963, 1996, 8103, 610, 2112, 10963, 8487, 4407, 967, 4593, 3234, 3729, 26645, 689, 593, 1164, 568, 711, 519, 2626, 267, 952, 519, 3486, 2146, 6743, 693, 519, 3148, 711, 538, 2474, 540, 922, 7580, 2956, 855, 540, 1480, 2924, 267, 519, 991, 547, 2149, 1131, 581, 6654, 269, 631, 697, 621, 581, 1932, 1454, 547, 2307, 602, 519, 9167, 1246, 26403, 807, 779, 1291, 888, 3674, 333, 1406, 621, 942, 602, 968, 6866, 1586, 892, 11074, 2495, 968, 28785, 543, 1586, 892, 286, 0, 10890, 543, 4915, 454, 1692, 666, 596, 2995, 2576, 568, 2348, 13542, 7244, 286, 16842, 960, 540, 7244, 267, 519, 4743, 540, 26032, 540, 7362, 267, 543, 19826, 2670, 616, 782, 1455, 2589, 540, 7929, 11605, 269, 6258, 1018, 891, 2589, 1413, 899, 543, 1946, 789, 2049, 269, 23095, 676, 25138, 27684, 563, 23763, 547, 6443, 519, 6643, 888, 268, 594, 1616, 547, 917, 1018, 519, 4308, 568, 609, 262, 743, 889, 6883, 540, 519, 11263, 8339, 296, 4312, 4862, 4704, 540, 713, 609, 2543, 547, 2860, 267, 296, 1589, 269, 1548, 568, 2965, 8345, 286, 263, 278, 16018, 994, 268, 3776, 1620, 540, 8630, 6883, 540, 519, 11263, 568, 2965, 18106, 269, 2755, 621, 568, 3020, 602, 621, 568, 2404, 609, 4057, 10009, 543, 513, 3668, 540, 5135, 9447, 547, 519, 11263, 519, 1259, 713, 3123, 8630, 6883, 568, 811, 7294, 543, 1223, 723, 1945, 547, 798, 609, 519, 2504, 540, 1978, 2208, 2188, 269, 901, 1223, 2491, 1946, 4713, 945, 1810, 1405, 5097, 2014, 30057, 2042, 2014, 8630, 6883, 607, 1134, 899, 1978, 22542, 8778, 2042, 630, 1410, 269, 4963, 9071, 2670, 610, 15867, 18255, 781, 1040, 263, 1015, 16018, 994, 268, 4208, 798, 1004, 1118, 765, 22689, 4992, 888, 12024, 1018, 2306, 602, 6846, 888, 296, 4312, 946, 547, 723, 10447, 15301, 279, 16018, 994, 268, 1924, 538, 824, 1913, 267, 1281, 25091, 8401, 1062, 2014, 267, 1851, 824, 1919, 267, 602, 519, 10453, 616, 8920, 730, 286, 263, 275, 16018, 994, 268, 1924, 950, 596, 13236, 267, 543, 707, 9641, 4228, 267, 9327, 1405, 621, 581, 26363, 602, 707, 9641, 1223, 4228, 998, 519, 10616, 538, 519, 10775, 322, 720, 286, 263, 274, 16018, 994, 268, 634, 10616, 538, 519, 10775, 322, 720, 616, 1152, 972, 952, 596, 616, 1175, 3168, 693, 513, 22403, 269, 769, 513, 2713, 1268, 519, 2230, 1063, 28937, 568, 4904, 609, 6091, 1572, 519, 17685, 739, 1023, 269, 634, 9641, 849, 723, 513, 5595, 2914, 718, 540, 5160, 1472, 873, 267, 1572, 5418, 3120, 269, 634, 533, 926, 13926, 5418, 3120, 3515, 519, 3330, 540, 519, 9221, 3774, 15301, 276, 16018, 994, 268, 4208, 950, 513, 1268, 568, 2348, 606, 10447, 4323, 789, 3100, 547, 957, 607, 952, 5277, 568, 538, 741, 9641, 1862, 296, 6415, 7168, 2386, 789, 616, 1175, 4881, 856, 540, 5135, 855, 594, 4312, 4862, 2789, 2053, 1216, 949, 13451, 883, 707, 9641, 267, 1018, 568, 519, 4308, 286, 263, 272, 8917, 994, 268, 1323, 10447, 4323, 4523, 950, 519, 6091, 1472, 519, 28296, 9395, 523, 270, 6247, 2774, 543, 2673, 1055, 269, 634, 16298, 3330, 519, 28296, 666, 1205, 22224, 607, 1134, 630, 514, 4148, 3139, 1813, 547, 606, 13027, 5114, 1040, 634, 765, 22689, 267, 3154, 4771, 4992, 596, 5873, 616, 519, 1267, 540, 2011, 8429, 998, 891, 9395, 5624, 563, 5331, 25738, 909, 513, 17891, 269, 1403, 596, 6445, 621, 609, 2011, 543, 1577, 621, 979, 1510, 1119, 532, 621, 267, 621, 13733, 2066, 519, 4055, 609, 606, 19278, 17439, 6438, 3280, 269, 1403, 3079, 596, 3180, 621, 543, 7485, 519, 519, 8546, 9395, 267, 621, 786, 1118, 513, 1164, 1790, 17097, 2695, 324, 2718, 4882, 4302, 1136, 3280, 269, 634, 28296, 960, 2186, 540, 899, 602, 563, 28775, 713, 2337, 256, 263, 278, 16018, 994, 268, 1548, 15302, 24439, 721, 11109, 24410, 1076, 22165, 515, 286, 263, 274, 16018, 994, 268, 1703, 781, 10447, 543, 519, 2185, 1826, 540, 2068, 2010, 7396, 538, 519, 3105, 3381, 952, 579, 2638, 873, 856, 263, 272, 8917, 994, 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 ]
[ 18178, 2898, 2914, 17742, 3694, 543, 18437, 267, 2898, 3766, 1778, 7573, 543, 4839, 23611, 269, 898, 2337, 707, 26470, 3251, 2834, 269, 901, 2882, 3536, 899, 18506, 267, 5144, 2861, 30077, 902, 543, 8169, 1841, 269, 901, 1570, 568, 3177, 585, 3872, 5301, 1152, 543, 568, 711, 5497, 585, 2564, 5796, 267, 5868, 610, 2126, 269, 476, 1001, 275, 269, 2659, 1973, 11379, 1377, 568, 7363, 476, 274, 269, 277, 547, 476, 276, 269, 273, 1984, 574, 3421, 829, 2148, 630, 7825, 565, 13624, 1040, 901, 568, 1317, 519, 1164, 3940, 3536, 3769, 2630, 616, 1970, 538, 15459, 3170, 269, 8000, 9914, 568, 513, 7777, 602, 568, 1336, 538, 1034, 3536, 269, 2712, 706, 267, 4829, 799, 616, 3638, 538, 6171, 595, 538, 2712, 706, 267, 2657, 4388, 269, 476, 1428, 264, 2142, 753, 281, 623, 20041, 10365, 267, 30011, 5452, 543, 21378, 2812, 616, 3638, 538, 31447, 3679, 269, 898, 849, 2337, 707, 1560, 2226, 513, 3339, 1973, 2604, 269, 630, 2420, 260, 667, 309, 264, 12594, 12700, 585, 918, 12685, 604, 8816, 269, 1411, 786, 991, 547, 2057, 1978, 3283, 543, 3970, 519, 2179, 540, 1866, 269, 11109, 513, 1973, 11379, 1377, 2362, 982, 476, 277, 269, 271, 6515, 565, 13624, 666, 581, 2560, 1230, 13935, 932, 7995, 6441, 12976, 8000, 9914, 269, 3040, 4322, 3536, 616, 849, 1434, 2959, 540, 1164, 7779, 3940, 267, 1447, 982, 476, 1911, 8406, 269, 476, 6200, 268, 1220, 8406, 269, 476, 1001, 268, 4968, 8406, 269, 936, 476, 4968, 8406, 269, 1411, 666, 1852, 519, 2179, 540, 11379, 596, 1205, 538, 707, 2732, 676, 1373, 3222, 540, 799, 3536, 616, 1970, 610, 1164, 538, 11379, 269, 1744, 22284, 10261, 539, 1677, 1325, 793, 2060, 13245, 14856, 18963, 267, 7351, 14856, 18963, 538, 519, 2136, 2276, 267, 589, 1849, 29141, 6733, 693, 7351, 2271, 1389, 543, 30318, 1744, 22284, 267, 3848, 476, 274, 269, 744, 1597, 268, 549, 16556, 1990, 1075, 577, 7236, 267, 4212, 8690, 543, 607, 32651, 1118, 1390, 267, 1164, 1790, 582, 9914, 23937, 269, 589, 476, 1911, 10101, 7674, 540, 12015, 3284, 878, 582, 2488, 476, 14138, 273, 31501, 2507, 3807, 1079, 18324, 9398, 540, 713, 267, 3638, 782, 5991, 1823, 21360, 3568, 476, 1015, 2600, 540, 519, 3232, 5227, 2179, 540, 11379, 269, 12232, 693, 281, 5291, 2517, 4178, 269, 1513, 30994, 6767, 10993, 14672, 22021, 11907, 269, 6181, 6979, 267, 10808, 267, 24113, 7423, 543, 12015, 5613, 971, 607, 986, 529, 1231, 267, 3284, 878, 1824, 267, 929, 17480, 267, 543, 7389, 616, 3638, 2959, 540, 11379, 269, 2659, 1973, 11379, 1377, 568, 7363, 476, 274, 269, 277, 547, 476, 276, 269, 273, 1984, 574, 3421, 829, 2148, 630, 7825, 565, 13624, 1040, 8000, 9914, 11656, 3536, 616, 849, 2356, 1164, 538, 824, 5567, 543, 1970, 538, 9770, 269, 4039, 773, 1407, 26298, 595, 1090, 1186, 1547, 8000, 9914, 568, 1271, 1851, 6886, 269, 8751, 6737, 10433, 282, 4354, 7847, 282, 667, 919, 282, 22616, 531, 537, 701, 282, 623, 727, 28699, 622, 282, 32566, 282, 681, 9820, 1231, 282, 11524, 269, 4826, 28447, 269, 8000, 9914, 568, 513, 3114, 602, 568, 2565, 547, 519, 1599, 540, 8229, 543, 4887, 2281, 267, 1519, 1346, 538, 707, 2295, 269, 6153, 3681, 585, 11379, 11656, 3536, 1331, 1035, 1941, 23601, 267, 12277, 609, 2960, 267, 8459, 10365, 267, 22156, 267, 1216, 28447, 267, 18506, 543, 20397, 269, 595, 10541, 22282, 269, 769, 1840, 547, 2348, 519, 1655, 8637, 540, 6171, 667, 267, 789, 616, 849, 3638, 538, 11379, 543, 7601, 267, 799, 948, 10038, 2295, 1599, 543, 16956, 4733, 2699, 1973, 2281, 269, 1403, 596, 616, 513, 1875, 268, 557, 1326, 4115, 267, 527, 568, 1175, 1018, 596, 991, 269, 513, 329, 554, 332, 3284, 32748, 513, 27599, 575, 515, 5633, 334, 1183, 11953, 1292, 10627, 664, 2520, 795, 514, 544, 1014, 6171, 524, 737, 328, 530, 29195, 803, 330, 323, 541, 14734, 617, 3905, 328, 688, 328, 269, 8000, 9914, 568, 1336, 5631, 538, 5613, 543, 5388, 282, 7132, 5144, 543, 16469, 269, 12232, 585, 15692, 543, 25515, 3457, 269, 2637, 13443, 3525, 1881, 16639, 630, 14875, 11675, 1040, 538, 2295, 2068, 543, 2669, 267, 3173, 3409, 907, 630, 10673, 1406, 5855, 267, 649, 3580, 979, 936, 513, 2462, 1592, 540, 11379, 11656, 3536, 1985, 14386, 8000, 9914, 568, 513, 2101, 8192, 7777, 602, 2337, 3666, 707, 1560, 781, 9063, 543, 1560, 12862, 269, 631, 2313, 7741, 723, 519, 2702, 547, 4339, 1055, 562, 7360, 3676, 899, 2860, 543, 616, 5393, 6225, 585, 1072, 269, 3267, 6428, 1399, 16639, 269, 2405, 1227, 12649, 676, 24391, 2593, 269, 16639, 609, 11379, 616, 282, 3039, 5388, 267, 14274, 267, 5613, 899, 20397, 267, 5283, 517, 543, 25636, 267, 10808, 267, 5452, 267, 27966, 267, 13687, 3165, 269, 901, 666, 2014, 2242, 538, 875, 519, 2295, 20054, 267, 7654, 1256, 3056, 547, 513, 2295, 4323, 269, 8549, 8249, 585, 6176, 593, 12594, 543, 8447, 11314, 267, 25715, 476, 1724, 269, 10732, 476, 1708, 271, 268, 1556, 268, 3066, 476, 1015, 281, 1428, 281, 2004, 993, 2433, 8000, 9914, 16639, 918, 16587, 10791, 1923, 8000, 9914, 16639, 918, 16587, 10791, 1923, 1923, 12389, 268, 4002, 5025, 6441, 578, 6363, 617, 14090, 5937, 2884, 634, 2179, 540, 11379, 538, 31501, 630, 16936, 264, 8659, 538, 1142, 4829, 610, 7674, 540, 4829, 568, 7396, 22290, 519, 6221, 269, 5253, 17796, 540, 26678, 27438, 267, 25715, 476, 1691, 269, 769, 2487, 1296, 267, 7031, 723, 1044, 519, 18579, 540, 1585, 3029, 540, 10786, 15969, 543, 13851, 269, 667, 3072, 3284, 878, 1824, 798, 711, 2270, 1082, 8324, 4849, 513, 8101, 2179, 540, 6171, 589, 630, 11740, 275, 296, 308, 1040, 19227, 267, 621, 666, 581, 2653, 547, 1205, 1932, 1454, 610, 1932, 2370, 11379, 269, 634, 15864, 1259, 547, 1413, 1575, 3075, 1344, 267, 2697, 21447, 267, 2638, 4205, 543, 1305, 909, 707, 1378, 2123, 6646, 5638, 269, 25530, 678, 24161, 7401, 786, 948, 596, 547, 1205, 7759, 540, 579, 878, 3679, 543, 2061, 519, 12614, 540, 30456, 6285, 269, 20363, 269, 595, 1075, 13246, 269, 15526, 13201, 513, 10020, 538, 25417, 13245, 14856, 18963, 267, 20051, 4658, 7316, 1358, 3657, 281, 12745, 783, 11790, 543, 13245, 14856, 18963, 267, 25715, 476, 273, 269, 6519, 15837, 269, 6181, 6979, 267, 10808, 267, 24113, 7423, 543, 12015, 5613, 971, 607, 986, 529, 1231, 267, 3284, 878, 1824, 267, 929, 17480, 267, 543, 7389, 616, 3638, 2959, 540, 11379, 269, 769, 1249, 267, 602, 779, 835, 2601, 1946, 1082, 9845, 899, 547, 3548, 20397, 269, 634, 1434, 3377, 568, 267, 676, 4189, 11379, 11656, 3536, 543, 4227, 707, 9770, 6981, 267, 596, 666, 11177, 3666, 543, 2569, 707, 1973, 2604, 269, 476, 1556, 2608, 290, 2714, 720, 476, 275, 570, 2125, 476, 272, 21411, 571, 267, 595, 10541, 476, 272, 270, 273, 524, 476, 275, 2608, 31088, 267, 1977, 476, 272, 12063, 476, 272, 2201, 687, 281, 31201, 281, 595, 10541, 476, 272, 270, 273, 524, 476, 274, 21009, 5991, 6953, 2788, 476, 273, 570, 2125, 476, 272, 5682, 267, 21984, 476, 276, 476, 274, 590, 712, 20497, 476, 272, 270, 275, 524, 476, 272, 3212, 553, 267, 5682, 267, 595, 10541, 476, 272, 270, 273, 524, 476, 275, 10979, 31201, 476, 272, 270, 273, 524, 476, 274, 3212, 3899, 267, 5682, 267, 21984, 476, 272, 2560, 630, 1321, 260, 667, 309, 264, 476, 24374, 16936, 269, 634, 6886, 1331, 4401, 267, 7601, 267, 11379, 267, 13101, 267, 13058, 267, 543, 7513, 269, 8000, 9914, 814, 1896, 1271, 3252, 538, 519, 1560, 282, 2705, 267, 1932, 1454, 11379, 538, 519, 2732, 666, 581, 5906, 269, 1879, 14401, 798, 711, 1599, 5265, 267, 11379, 13976, 909, 538, 519, 1973, 269, 17006, 891, 547, 707, 2732, 666, 948, 538, 16715, 579, 878, 7408, 6923, 269, 1452, 2370, 30644, 24991, 666, 1039, 606, 5863, 19804, 9564, 30993, 547, 2250, 553, 543, 25235, 269, 3509, 5613, 543, 5388, 616, 5140, 2959, 267, 607, 616, 930, 22053, 630, 324, 3052, 1421, 13386, 28369, 264, 543, 12277, 269, 589, 2582, 7674, 540, 1929, 320, 10365, 666, 22545, 856, 936, 835, 6709, 6621, 540, 2560, 6969, 4687, 6213, 1344, 2228, 267, 1118, 2386, 596, 2461, 593, 513, 1547, 326, 990, 610, 1547, 332, 559, 3135, 676, 8524, 532, 707, 11422, 779, 2232, 630, 528, 968, 331, 6327, 14615, 3046, 269, 589, 10003, 14090, 547, 519, 476, 1001, 276, 268, 1708, 271, 9990, 540, 519, 267, 3848, 476, 272, 269, 1280, 1383, 267, 513, 5420, 19337, 814, 827, 476, 22213, 8406, 540, 11379, 2073, 543, 3368, 513, 7484, 540, 10750, 11792, 1117, 6653, 12277, 814, 476, 275, 4037, 8406, 269, 22340, 5253, 18963, 281, 13245, 11335, 4149, 1399, 548, 14856, 23694, 267, 25715, 476, 276, 269, 2755, 1373, 3638, 538, 1082, 5686, 540, 5567, 267, 2943, 7389, 616, 1863, 540, 9600, 543, 865, 4189, 873, 1281, 711, 2333, 8501, 269, 1284, 16783, 609, 519, 670, 2177, 13892, 3044, 585, 22973, 1072, 1344, 910, 267, 476, 272, 1507, 10538, 630, 13301, 264, 610, 476, 16006, 7484, 540, 10538, 10433, 630, 20720, 1070, 476, 16006, 7484, 540, 7750, 539, 18085, 531, 537, 701, 630, 21497, 264, 610, 546, 5367, 9932, 323, 1168, 5283, 517, 630, 1220, 1070, 476, 272, 1507, 11945, 610, 476, 16006, 7484, 540, 11945, 10433, 630, 5611, 1070, 476, 16006, 7484, 540, 4195, 267, 30000, 22229, 630, 10219, 1070, 476, 16006, 7484, 540, 22623, 11241, 630, 3393, 264, 610, 22623, 9440, 10433, 15483, 18571, 630, 736, 1070, 476, 16006, 7484, 540, 22060, 540, 13099, 11535, 267, 27335, 267, 610, 15090, 630, 3374, 1070, 476, 272, 19323, 5420, 6653, 15837, 267, 609, 2960, 630, 14596, 1070, 476, 16006, 7484, 540, 16603, 610, 10448, 10433, 630, 22550, 1070, 610, 476, 272, 5420, 6151, 16603, 630, 23310, 1070, 476, 16006, 7484, 540, 11273, 1990, 1075, 577, 7236, 630, 13136, 264, 610, 5162, 23601, 630, 7742, 1070, 476, 16006, 7484, 540, 11273, 533, 20041, 10365, 630, 6110, 264, 610, 21378, 2812, 630, 18458, 1070, 476, 274, 13728, 540, 19323, 610, 2156, 6150, 13687, 630, 29204, 1070, 476, 274, 13728, 540, 28777, 21429, 267, 4158, 5779, 630, 7742, 1070, 476, 273, 26486, 540, 5347, 24113, 7423, 630, 13975, 1070, 476, 272, 26412, 540, 2892, 1540, 30637, 267, 30646, 267, 610, 8732, 515, 9749, 630, 1220, 1070, 476, 272, 7484, 540, 1875, 325, 520, 267, 1970, 19339, 267, 610, 2898, 5144, 630, 12573, 547, 476, 23884, 1070, 476, 16006, 7484, 540, 1970, 19339, 630, 273, 8472, 32119, 10381, 630, 8099, 1040, 4855, 856, 3388, 596, 991, 547, 917, 827, 2597, 2530, 5061, 538, 938, 13310, 2597, 2530, 10788, 3391, 269, 29807, 333, 2354, 269, 3040, 19940, 5613, 543, 5388, 616, 519, 1655, 1259, 547, 1039, 1804, 5666, 540, 11379, 547, 707, 2732, 269, 6744, 519, 1426, 6003, 547, 1265, 519, 2179, 540, 11379, 621, 3568, 269, 4959, 299, 4456, 5723, 4696, 267, 630, 21589, 706, 11592, 1315, 9031, 8672, 5240, 910, 476, 2767, 628, 5463, 267, 476, 1001, 280, 3738, 2433, 28848, 3536, 3638, 538, 11379, 267, 971, 607, 20397, 543, 19146, 15606, 267, 3232, 949, 2061, 2182, 2287, 540, 519, 16209, 602, 666, 1267, 269, 630, 2537, 260, 667, 309, 264, 476, 277, 2764, 16936, 269, 4658, 945, 946, 12498, 1532, 6674, 619, 1058, 8532, 1164, 11379, 3536, 267, 971, 607, 7105, 701, 553, 267, 538, 20208, 269, 769, 1840, 547, 1373, 3638, 538, 1395, 10494, 18260, 9600, 267, 19146, 15606, 616, 513, 1434, 2707, 540, 6775, 267, 31833, 267, 11379, 267, 543, 8324, 918, 543, 595, 1547, 901, 2442, 12015, 4829, 568, 835, 540, 11379, 3638, 3536, 269, 8000, 10633, 267, 2436, 789, 616, 2699, 267, 3043, 610, 6653, 267, 616, 5140, 2959, 540, 11379, 269, 2142, 564, 10174, 568, 540, 11108, 9422, 1871, 267, 2523, 519, 16719, 267, 799, 616, 3638, 538, 7513, 267, 4401, 543, 8324, 589, 543, 595, 269, 2142, 564, 23085, 616, 606, 5140, 2707, 540, 31447, 3679, 543, 513, 1360, 1434, 2707, 540, 20249, 267, 22670, 543, 11379, 269, 623, 5588, 3008, 10485, 9331, 29332, 7495, 700, 8780, 269, 715, 340, 4149, 5306, 10378, 267, 18200, 517, 779, 17865, 15240, 3482, 10378, 264, 590, 1195, 5144, 7843, 701, 327, 1677, 14673, 5453, 520, 4839, 962, 690, 4669, 269, 667, 8543, 3536, 666, 2270, 513, 1390, 4308, 540, 11379, 547, 948, 596, 2743, 707, 3232, 2115, 269, 898, 1625, 5809, 607, 621, 646, 1023, 543, 568, 513, 1590, 585, 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 ]
[ 4150, 326, 657, 700, 4673, 779, 909, 32523, 729, 8032, 676, 519, 4527, 540, 623, 2714, 779, 8376, 267, 513, 4686, 11983, 2783, 602, 8507, 538, 26900, 538, 1010, 7953, 269, 1133, 762, 547, 7390, 1153, 1813, 547, 1010, 2168, 7687, 267, 646, 24389, 593, 513, 2619, 540, 1582, 24713, 344, 693, 1753, 267, 18071, 7415, 8990, 543, 6043, 269, 6736, 1010, 6381, 267, 717, 4150, 326, 657, 700, 4673, 779, 19818, 585, 1702, 3366, 1864, 547, 4487, 1896, 4654, 267, 1519, 3943, 267, 4436, 267, 7969, 267, 543, 6739, 269, 1452, 24233, 1296, 9788, 519, 5748, 585, 1010, 7415, 5339, 4876, 543, 26772, 7029, 547, 1514, 5126, 563, 288, 631, 4106, 656, 19797, 538, 28130, 454, 294, 4150, 326, 657, 700, 4673, 267, 5103, 1010, 2168, 2783, 267, 8362, 10692, 607, 513, 17740, 656, 21340, 543, 7214, 538, 28130, 269, 1261, 15548, 538, 8265, 12959, 543, 3625, 3547, 267, 13461, 593, 513, 3659, 945, 5645, 1864, 593, 1010, 17525, 267, 9117, 607, 1010, 7953, 269, 1261, 729, 513, 4759, 540, 519, 28130, 1014, 19797, 9549, 543, 5185, 26646, 593, 2789, 14026, 1813, 547, 1010, 26772, 2797, 4978, 563, 24145, 776, 17714, 543, 4317, 7600, 1664, 454, 297, 10394, 638, 27713, 717, 4150, 326, 657, 700, 4673, 24389, 593, 1010, 5339, 3460, 609, 2038, 9954, 899, 968, 2704, 8000, 549, 2223, 968, 309, 773, 10937, 2677, 6244, 5866, 2223, 543, 968, 300, 600, 5451, 11219, 6359, 6403, 2223, 3370, 538, 5339, 17476, 269, 5345, 6295, 936, 942, 267, 1010, 6965, 17947, 1514, 543, 2797, 4798, 267, 10423, 538, 1568, 971, 607, 968, 22437, 655, 553, 632, 7323, 28130, 2223, 968, 289, 663, 5028, 10162, 10937, 2223, 543, 968, 23742, 332, 12113, 549, 12858, 9222, 1848, 3571, 16994, 7422, 543, 7029, 547, 1514, 2152, 1336, 4082, 538, 14786, 899, 5487, 2776, 985, 320, 543, 4432, 20052, 2946, 6588, 325, 334, 563, 294, 4150, 326, 657, 700, 4673, 779, 8037, 5339, 9740, 729, 519, 8313, 540, 1010, 3209, 968, 299, 553, 14265, 806, 590, 984, 516, 1714, 3397, 7699, 892, 538, 476, 3707, 277, 269, 6736, 1010, 2150, 830, 569, 2669, 267, 2022, 21065, 748, 1568, 899, 968, 299, 657, 2871, 663, 657, 892, 543, 968, 17442, 25362, 10937, 892, 12873, 1010, 5339, 9371, 269, 1261, 729, 606, 3742, 16045, 538, 2451, 626, 6214, 543, 513, 4759, 540, 519, 968, 10817, 11535, 638, 559, 6828, 2223, 12021, 585, 741, 1514, 1483, 626, 1935, 269, 13966, 2515, 1010, 1603, 267, 717, 4150, 326, 657, 700, 4673, 32524, 609, 8284, 4589, 5915, 564, 26369, 3397, 340, 559, 5028, 5689, 3279, 543, 2037, 686, 4302, 16500, 31408, 593, 519, 4015, 540, 2110, 2984, 11331, 968, 299, 657, 6581, 1530, 11709, 892, 538, 476, 4350, 271, 563, 7212, 717, 4150, 326, 657, 700, 4673, 779, 1272, 729, 2759, 2110, 267, 1010, 5339, 1764, 28815, 269, 3718, 899, 968, 17442, 8299, 9874, 8210, 3757, 5633, 892, 543, 968, 18693, 690, 571, 325, 17144, 1642, 623, 29301, 334, 1473, 1470, 892, 941, 3370, 1310, 1010, 8429, 267, 4180, 1010, 5639, 4797, 547, 13469, 269, 25408, 267, 1010, 3209, 968, 299, 553, 2267, 806, 865, 3691, 1714, 989, 7699, 2223, 18167, 883, 519, 13249, 2621, 540, 519, 476, 4572, 273, 2871, 11535, 638, 559, 32003, 267, 6763, 607, 513, 3532, 16472, 540, 1514, 543, 2804, 16526, 269, 717, 4150, 326, 657, 700, 4673, 779, 859, 25607, 24575, 540, 1514, 16526, 543, 519, 23434, 5185, 676, 12790, 2043, 6949, 730, 7184, 267, 1008, 3183, 26126, 543, 26354, 7391, 827, 6848, 7004, 563, 297, 10394, 638, 27713, 717, 4150, 326, 657, 700, 4673, 543, 715, 11253, 6742, 6403, 928, 345, 25385, 514, 6242, 779, 7736, 1005, 14886, 1222, 543, 16520, 21664, 454, 1103, 476, 4350, 276, 267, 693, 519, 2085, 540, 476, 2918, 267, 808, 10394, 638, 27713, 717, 4150, 326, 657, 700, 4673, 9310, 715, 11253, 6742, 6403, 928, 345, 25385, 514, 6242, 267, 945, 729, 476, 2641, 1296, 2025, 693, 519, 942, 269, 4014, 741, 7365, 8694, 538, 16028, 267, 789, 7283, 15400, 2828, 269, 1879, 717, 4150, 326, 657, 700, 4673, 5293, 2476, 538, 476, 3707, 278, 267, 646, 2451, 3297, 606, 4652, 31944, 3209, 11331, 968, 10817, 663, 657, 2223, 799, 715, 11253, 6742, 6403, 928, 345, 6192, 543, 3370, 538, 476, 2735, 273, 269, 1306, 513, 1267, 267, 968, 10817, 663, 657, 892, 568, 11911, 547, 1312, 700, 4673, 543, 6742, 6403, 928, 345, 607, 1071, 22052, 4243, 563, 4002, 5437, 476, 1626, 267, 476, 3707, 278, 267, 808, 10394, 638, 27713, 717, 4150, 326, 657, 700, 4673, 267, 513, 7986, 28130, 1014, 5856, 267, 5293, 2476, 693, 1010, 15335, 538, 2871, 11535, 638, 559, 269, 3571, 2669, 6825, 513, 7096, 2530, 585, 519, 5339, 543, 7214, 10580, 538, 28130, 269, 717, 4150, 326, 657, 700, 4673, 779, 1072, 17379, 1813, 547, 513, 31329, 3121, 267, 543, 4352, 646, 8179, 2564, 2126, 538, 519, 2136, 2276, 267, 646, 5185, 519, 25031, 24677, 540, 513, 31705, 269, 25613, 2678, 1042, 267, 646, 5887, 3293, 547, 7799, 320, 267, 18475, 267, 855, 729, 13604, 30461, 689, 519, 2197, 1813, 547, 1010, 2797, 28930, 725, 269, 634, 9465, 646, 11402, 538, 1010, 13287, 540, 2564, 6351, 5031, 519, 2591, 646, 5185, 1312, 13948, 543, 607, 513, 8149, 19191, 563, 763, 11972, 9371, 540, 808, 10394, 638, 27713, 717, 4150, 326, 657, 700, 4673, 568, 30833, 676, 519, 10661, 540, 519, 808, 10394, 638, 27713, 717, 4150, 326, 657, 700, 4673, 2817, 11470, 15356, 630, 7093, 332, 1470, 715, 659, 1308, 632, 15881, 520, 10216, 808, 10394, 638, 27713, 717, 4150, 326, 657, 700, 4673, 1040, 4595, 476, 2735, 280, 267, 713, 20380, 8366, 814, 1044, 4843, 12422, 676, 519, 27391, 1275, 540, 2372, 17010, 267, 28130, 267, 9301, 14222, 3084, 1568, 538, 519, 6688, 540, 2110, 2984, 267, 9089, 267, 543, 14364, 269, 634, 16101, 5713, 607, 513, 15266, 547, 717, 4150, 326, 657, 700, 4673, 779, 1713, 7418, 547, 28130, 1014, 3332, 543, 1010, 11972, 3310, 593, 4207, 5830, 563, 268, 11968, 6446, 694, 8709, 630, 4350, 271, 994, 268, 20098, 2267, 806, 865, 3691, 1714, 989, 7699, 630, 3707, 277, 1070, 1224, 621, 585, 1863, 1934, 563, 268, 5487, 3331, 374, 2741, 9874, 2144, 3757, 5633, 630, 3707, 278, 994, 268, 4437, 690, 571, 325, 17144, 1642, 3220, 269, 12770, 6682, 1842, 3213, 10314, 454, 268, 5487, 25362, 10937, 630, 684, 21129, 1639, 3209, 994, 268, 11968, 2871, 663, 657, 630, 684, 21129, 1639, 3209, 267, 6192, 676, 1010, 5449, 7385, 715, 11253, 6742, 6403, 928, 345, 267, 3370, 538, 476, 2735, 273, 994, 268, 4437, 690, 571, 325, 17144, 1642, 533, 29301, 334, 967, 1470, 630, 4198, 273, 994, 268, 19923, 550, 657, 1264, 339, 657, 630, 4198, 277, 264, 0, 27745, 3662, 2861, 11326, 2965, 2048, 2466, 580, 622, 1981, 685, 540, 9025, 2068, 888, 13312, 1115, 5230, 538, 3662, 2861, 2472, 723, 1279, 1044, 2808, 9025, 1981, 2188, 1107, 855, 1007, 1382, 5267, 602, 513, 1455, 8937, 24059, 5532, 547, 3662, 3940, 4616, 1223, 2965, 948, 2061, 9025, 2068, 563, 13312, 1115, 5230, 538, 3662, 2861, 3536, 616, 513, 2101, 2707, 540, 570, 7246, 1107, 16013, 14007, 8533, 1107, 799, 568, 10736, 883, 519, 6797, 883, 1776, 7623, 267, 570, 7246, 302, 1107, 610, 16013, 14007, 8533, 9539, 268, 6448, 910, 513, 1826, 540, 1455, 8937, 4551, 3006, 2404, 609, 6553, 267, 799, 666, 3895, 519, 19221, 540, 9761, 15799, 538, 16209, 563, 10454, 4276, 1063, 570, 7246, 302, 543, 9025, 2068, 814, 22157, 547, 1445, 519, 6643, 593, 875, 3662, 2861, 11326, 2014, 2942, 1072, 4539, 2437, 6045, 7638, 517, 11986, 918, 643, 21672, 267, 519, 1291, 2278, 540, 513, 1353, 602, 2055, 713, 3932, 563, 298, 643, 21672, 267, 513, 2022, 4777, 28118, 8284, 538, 519, 13013, 308, 5441, 540, 3163, 267, 6045, 602, 519, 1007, 1353, 1107, 3370, 538, 544, 21902, 338, 1107, 5267, 513, 1114, 3126, 540, 6211, 3157, 941, 693, 1404, 563, 257, 3719, 538, 30228, 1239, 689, 13654, 8937, 22435, 2090, 267, 649, 20114, 2963, 602, 835, 1826, 540, 4551, 2404, 609, 5779, 4616, 666, 1491, 519, 570, 7246, 267, 607, 1134, 607, 840, 15479, 832, 547, 570, 7246, 267, 543, 8311, 1047, 873, 1510, 6721, 1022, 570, 7246, 302, 269, 2334, 1797, 1346, 4551, 616, 538, 1198, 1812, 532, 513, 1883, 3095, 538, 519, 9025, 2068, 5832, 4799, 763, 4551, 616, 540, 519, 31167, 32166, 12593, 543, 2963, 5267, 606, 9450, 4719, 3009, 6087, 741, 10307, 267, 3842, 513, 1629, 14007, 566, 13374, 267, 547, 2057, 1818, 570, 7246, 302, 269, 5015, 267, 918, 643, 21672, 1767, 267, 1382, 2982, 3662, 2861, 11326, 2014, 513, 4028, 2333, 538, 31167, 32166, 538, 519, 8937, 563, 23536, 8438, 2126, 11507, 888, 10454, 7103, 538, 707, 7181, 723, 1044, 3254, 547, 1860, 519, 1646, 540, 16221, 2068, 2829, 2437, 1767, 1071, 27236, 19378, 16902, 990, 2335, 18223, 267, 7548, 540, 8762, 5735, 693, 13013, 308, 269, 834, 3719, 519, 6127, 910, 1018, 568, 2965, 8345, 3297, 519, 4296, 1851, 2732, 267, 1072, 543, 26168, 910, 723, 3622, 1044, 2182, 547, 8930, 1524, 269, 2859, 1382, 883, 31167, 32166, 1591, 7350, 543, 14498, 568, 2877, 267, 855, 938, 1353, 6799, 513, 5693, 3989, 7271, 609, 1761, 585, 513, 2462, 1764, 593, 1480, 1072, 4799, 289, 559, 32166, 568, 513, 6121, 24308, 26103, 11425, 602, 781, 9286, 607, 513, 2619, 984, 542, 339, 910, 606, 11248, 602, 7363, 814, 513, 1623, 25027, 2078, 609, 922, 3984, 855, 666, 1831, 2068, 27351, 6748, 896, 1978, 6381, 269, 898, 781, 4122, 1459, 538, 519, 18117, 2345, 540, 1004, 945, 616, 2635, 563, 10454, 1239, 649, 12649, 1397, 3648, 811, 31167, 32166, 538, 519, 18117, 2345, 540, 2635, 1004, 3379, 547, 1346, 609, 9025, 2068, 267, 543, 602, 31167, 32166, 2338, 979, 909, 538, 3210, 547, 513, 2732, 1759, 593, 5779, 3379, 547, 513, 2030, 2861, 2732, 2437, 918, 643, 21672, 1767, 563, 257, 5978, 4681, 2303, 31167, 32166, 781, 1909, 538, 519, 22435, 543, 1480, 1072, 1522, 4096, 593, 519, 1808, 2796, 543, 602, 741, 1761, 607, 513, 32714, 602, 7339, 919, 3662, 2472, 262, 1909, 538, 2295, 2068, 1058, 581, 6594, 2417, 1701, 0, 5649, 476, 5197, 1631, 16621, 519, 3102, 13654, 7924, 1983, 9165, 543, 5311, 689, 3590, 476, 4510, 563, 15447, 1578, 1772, 5295, 5358, 630, 298, 7709, 303, 264, 568, 513, 3084, 3060, 540, 1863, 267, 1930, 10276, 2651, 618, 267, 2852, 1790, 516, 1706, 2218, 1857, 22497, 3506, 609, 513, 3950, 2594, 540, 8600, 1053, 538, 9207, 5703, 2950, 585, 1967, 538, 2852, 543, 538, 1272, 269, 918, 7709, 303, 12924, 290, 267, 513, 851, 540, 519, 3084, 3060, 267, 5161, 540, 476, 1015, 3506, 679, 13764, 5111, 476, 274, 267, 7785, 1053, 538, 24110, 918, 1700, 1321, 269, 1703, 616, 2185, 10026, 3506, 267, 2947, 1647, 3506, 267, 543, 835, 1164, 1153, 538, 918, 7709, 303, 12924, 290, 269, 634, 5354, 540, 519, 2875, 1560, 568, 3979, 1977, 630, 4366, 8472, 610, 17104, 630, 5392, 8472, 543, 11392, 1863, 610, 4389, 17376, 823, 12899, 630, 6434, 22103, 17823, 10117, 2600, 616, 1053, 609, 9124, 267, 543, 476, 279, 260, 616, 2296, 6267, 630, 5085, 1040, 634, 2875, 20343, 2557, 568, 476, 4817, 269, 275, 9077, 543, 519, 5993, 2875, 10688, 2557, 568, 476, 276, 10065, 918, 7709, 303, 12924, 290, 779, 5692, 568, 968, 1729, 4001, 938, 1053, 547, 1020, 519, 1915, 543, 4081, 1983, 2556, 547, 8011, 538, 1164, 1153, 543, 2852, 267, 547, 581, 1582, 1606, 11211, 267, 3811, 267, 543, 6126, 538, 519, 8013, 1158, 267, 543, 547, 1628, 513, 1732, 14182, 585, 2933, 543, 721, 782, 3034, 7628, 519, 476, 1001, 275, 1700, 1001, 276, 1153, 1032, 267, 476, 4350, 3791, 998, 21632, 3446, 1053, 538, 2947, 540, 918, 7709, 303, 12924, 290, 779, 1647, 3506, 941, 5697, 547, 7119, 538, 513, 1353, 540, 3590, 476, 4510, 779, 7145, 269, 4841, 18176, 12989, 9978, 593, 519, 7335, 22802, 10378, 543, 607, 2776, 5937, 1815, 617, 619, 267, 22073, 5463, 617, 619, 267, 610, 15043, 5463, 617, 619, 593, 519, 1912, 9582, 22802, 10378, 941, 5116, 883, 3590, 476, 4510, 13460, 693, 918, 7709, 303, 12924, 290, 1141, 789, 941, 4397, 547, 4309, 476, 3393, 547, 476, 3445, 3764, 540, 6044, 2947, 2053, 829, 3018, 269, 634, 2203, 9867, 2066, 519, 3506, 609, 930, 13460, 1210, 513, 1796, 17038, 821, 3590, 476, 4510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1317, 621, 1705, 711, 3565, 547, 519, 4890, 1852, 540, 7916, 269, 17865, 594, 1373, 606, 954, 574, 6876, 267, 519, 9837, 729, 547, 3136, 519, 16395, 267, 855, 6070, 4083, 729, 2322, 538, 8373, 269, 589, 5943, 6876, 729, 6069, 538, 476, 3192, 275, 693, 519, 27388, 643, 739, 758, 27169, 1063, 15182, 573, 6601, 30795, 928, 341, 630, 306, 990, 2884, 5742, 264, 543, 2475, 5518, 717, 14283, 16110, 269, 901, 6876, 1305, 519, 1482, 7182, 585, 15177, 7438, 7129, 543, 7580, 23038, 267, 855, 621, 31360, 14265, 1047, 28862, 269, 634, 772, 2529, 269, 14130, 267, 2523, 1318, 26310, 6845, 2209, 267, 4718, 782, 7916, 8060, 607, 513, 7271, 585, 519, 28268, 547, 968, 322, 2255, 909, 609, 3013, 2223, 543, 519, 6876, 588, 6817, 563, 5575, 1455, 1620, 269, 634, 15096, 13696, 31782, 267, 799, 616, 1641, 547, 519, 13800, 540, 9137, 2473, 9654, 540, 519, 15521, 267, 1331, 267, 1851, 824, 1919, 267, 519, 4367, 540, 519, 15096, 13696, 267, 799, 3340, 1991, 31015, 538, 13076, 609, 519, 14074, 540, 519, 6876, 593, 3800, 547, 581, 3144, 547, 2569, 519, 1981, 540, 513, 6046, 2112, 1063, 519, 2136, 2276, 540, 3013, 543, 519, 5742, 540, 8168, 31012, 3115, 28362, 923, 267, 9896, 593, 476, 1789, 5181, 269, 2073, 476, 3192, 272, 267, 543, 519, 6876, 1063, 519, 6554, 540, 519, 2136, 2276, 540, 3013, 543, 519, 2229, 540, 519, 5742, 540, 8168, 31012, 3115, 28362, 923, 593, 519, 6604, 540, 13685, 593, 519, 1164, 15798, 543, 936, 519, 1164, 15798, 267, 9896, 593, 2904, 476, 1839, 267, 476, 3192, 273, 269, 9137, 2473, 9654, 540, 519, 15521, 2488, 585, 519, 1991, 31015, 540, 15096, 13696, 31782, 602, 616, 711, 1641, 547, 922, 14074, 543, 4171, 1991, 31015, 1131, 7794, 3972, 1063, 519, 24931, 6105, 593, 513, 17319, 4493, 269, 32468, 9911, 4797, 689, 5437, 476, 1704, 267, 476, 3422, 280, 547, 2904, 476, 3192, 273, 267, 538, 513, 3126, 540, 11401, 602, 3459, 538, 670, 1564, 1074, 328, 267, 609, 519, 772, 2529, 269, 15518, 566, 3366, 676, 15168, 731, 595, 269, 8055, 267, 10615, 540, 519, 1488, 916, 6513, 543, 2598, 1301, 3512, 10837, 269, 634, 1739, 11401, 3576, 1747, 1063, 21499, 543, 670, 1564, 1074, 328, 269, 2991, 513, 1279, 4666, 6674, 267, 519, 1101, 2164, 540, 590, 3201, 307, 594, 8452, 538, 2904, 476, 3192, 272, 267, 950, 606, 6876, 729, 6603, 593, 519, 9474, 300, 1949, 269, 4329, 12909, 8694, 16395, 593, 476, 2918, 2904, 476, 3192, 273, 538, 18293, 267, 950, 9400, 29337, 543, 15182, 573, 6601, 30795, 928, 341, 9896, 1312, 519, 14640, 5174, 718, 2065, 7323, 850, 15521, 543, 519, 3955, 574, 15716, 1063, 519, 2136, 2276, 540, 3013, 543, 519, 5742, 540, 8168, 31012, 3115, 28362, 923, 593, 1978, 3800, 547, 3970, 7580, 18086, 9604, 269, 476, 769, 1840, 547, 891, 14074, 540, 519, 14097, 267, 799, 18808, 2047, 609, 519, 3390, 540, 19027, 267, 10203, 543, 519, 2702, 547, 20559, 3652, 267, 607, 1134, 607, 1978, 9993, 593, 1978, 1949, 267, 1978, 9993, 593, 1978, 1949, 941, 3769, 538, 519, 6876, 585, 1808, 19027, 5301, 563, 1103, 2904, 476, 2735, 273, 267, 5518, 31144, 10294, 602, 646, 1131, 798, 4986, 547, 24183, 519, 20919, 11650, 607, 1279, 607, 519, 8168, 5742, 2982, 519, 1482, 27047, 842, 269, 634, 8168, 5742, 2899, 1586, 10294, 3294, 4712, 547, 16783, 609, 519, 796, 32738, 14097, 269, 0, 763, 6417, 2095, 540, 9211, 814, 1044, 1031, 998, 1585, 2553, 543, 3029, 1018, 779, 1634, 607, 11418, 563, 27735, 540, 11418, 538, 938, 3232, 1272, 454, 24916, 519, 1455, 5907, 19269, 971, 607, 5925, 543, 7641, 2256, 1392, 267, 8301, 543, 2756, 582, 1901, 2594, 619, 267, 4908, 10282, 619, 267, 26732, 267, 12514, 267, 7574, 7450, 10428, 338, 267, 3092, 1421, 11418, 723, 6035, 621, 568, 2533, 538, 1114, 15211, 540, 1272, 269, 634, 2780, 267, 799, 814, 19117, 519, 1158, 267, 568, 835, 540, 519, 2101, 10781, 540, 11418, 269, 769, 2564, 26129, 543, 6391, 267, 782, 17655, 3457, 543, 2553, 946, 11418, 538, 930, 1106, 610, 519, 824, 563, 763, 2165, 2048, 19491, 16361, 685, 814, 1044, 22579, 689, 6475, 7308, 1883, 9325, 267, 519, 2095, 540, 799, 998, 513, 18364, 3947, 721, 3167, 1699, 610, 3274, 1699, 269, 901, 1699, 666, 581, 3812, 609, 9075, 543, 18402, 2173, 778, 1149, 267, 799, 5352, 3167, 1379, 267, 2901, 9823, 610, 8028, 267, 693, 476, 2004, 21636, 269, 901, 1699, 666, 581, 1031, 585, 1585, 5301, 971, 607, 26149, 267, 8022, 267, 543, 6117, 519, 16546, 269, 1717, 267, 11418, 814, 2484, 23568, 7207, 543, 1761, 885, 563, 268, 634, 2095, 540, 9211, 814, 1044, 14931, 543, 6417, 538, 5907, 3457, 896, 519, 15128, 540, 5007, 7506, 267, 799, 949, 581, 1572, 5365, 267, 5048, 267, 1239, 610, 1022, 824, 2012, 3617, 585, 519, 8317, 563, 268, 634, 6417, 2095, 540, 9211, 814, 1044, 1031, 998, 1585, 2553, 543, 3029, 1018, 779, 1634, 607, 11418, 563, 268, 898, 568, 9157, 547, 1265, 4376, 4358, 689, 7622, 5370, 267, 3560, 338, 267, 1072, 267, 2792, 267, 9913, 267, 19180, 267, 543, 519, 5769, 267, 1141, 11418, 10093, 1406, 1500, 621, 269, 0, 1432, 616, 2599, 11642, 2356, 3361, 676, 286, 2560, 2755, 930, 1286, 11642, 616, 3361, 676, 21611, 267, 789, 616, 811, 1419, 3361, 676, 2042, 609, 513, 6174, 779, 5122, 11443, 267, 4492, 1062, 610, 1256, 13189, 2451, 538, 519, 1286, 267, 6028, 519, 2599, 547, 6952, 3595, 563, 4692, 513, 1286, 6952, 593, 3595, 676, 3294, 888, 288, 1374, 16950, 538, 513, 6174, 2356, 3884, 1406, 2469, 547, 2014, 513, 1286, 3595, 593, 922, 1378, 267, 1317, 972, 779, 1100, 593, 270, 4752, 6467, 585, 8654, 513, 6174, 705, 331, 10270, 269, 5071, 20924, 267, 2705, 267, 666, 1118, 2175, 2731, 22691, 585, 513, 3595, 267, 543, 3006, 1256, 1711, 2175, 538, 799, 606, 22638, 3595, 568, 17149, 563, 1692, 798, 596, 3247, 606, 2599, 3595, 888, 8196, 519, 1739, 4388, 547, 2061, 1761, 6174, 11642, 912, 268, 1403, 596, 5469, 1022, 5714, 20984, 610, 707, 4492, 2157, 6749, 6385, 267, 723, 707, 1286, 13761, 269, 6693, 268, 24344, 707, 3282, 543, 3154, 11503, 5265, 563, 268, 9796, 3007, 547, 952, 707, 6174, 568, 23986, 908, 269, 6693, 268, 1403, 707, 9688, 1062, 568, 1932, 3905, 267, 723, 621, 13761, 269, 6693, 268, 1684, 711, 8673, 538, 707, 1286, 563, 7617, 6517, 6952, 593, 3595, 519, 1034, 888, 4407, 930, 16669, 11642, 949, 581, 4351, 267, 824, 6517, 723, 1044, 12155, 547, 20414, 593, 3595, 610, 1256, 1011, 5317, 2443, 4929, 3959, 3441, 543, 1256, 2921, 2729, 269, 634, 16110, 623, 20041, 949, 581, 519, 1034, 1134, 8153, 540, 891, 23292, 6517, 267, 855, 621, 6157, 3884, 1406, 519, 1152, 6174, 1634, 585, 1582, 10687, 321, 755, 542, 563, 1692, 1419, 798, 6517, 6952, 3595, 888, 2467, 941, 606, 6059, 476, 14378, 267, 4335, 19814, 6174, 11642, 538, 519, 772, 2529, 269, 1142, 1032, 689, 476, 1001, 275, 998, 476, 1001, 277, 267, 519, 2063, 1032, 585, 799, 1239, 568, 2139, 269, 589, 5318, 5354, 1765, 3467, 982, 476, 16318, 267, 1822, 1765, 26200, 11642, 5473, 18213, 6472, 267, 674, 4932, 288, 3081, 269, 2334, 779, 606, 3328, 540, 1175, 896, 476, 6110, 11642, 829, 1554, 563, 8489, 798, 1034, 6174, 11642, 1376, 888, 1103, 1249, 267, 476, 7830, 2600, 540, 19814, 6174, 11642, 12090, 4481, 538, 519, 2599, 267, 4881, 10591, 267, 1015, 610, 8868, 2127, 540, 519, 6174, 630, 8368, 476, 274, 1040, 634, 2034, 1034, 1455, 1858, 540, 3595, 5169, 729, 538, 519, 11346, 9706, 817, 10152, 1858, 540, 519, 6174, 630, 1321, 2600, 1916, 12663, 513, 1286, 1011, 1712, 952, 621, 29598, 593, 3595, 888, 2005, 779, 1360, 4686, 547, 1294, 513, 1286, 1011, 1712, 950, 621, 29598, 3595, 269, 1280, 513, 1286, 547, 9514, 909, 267, 621, 2115, 519, 3501, 8167, 540, 5135, 267, 3154, 267, 543, 3595, 269, 23663, 2196, 593, 5277, 3154, 799, 786, 3335, 711, 1011, 1712, 950, 1305, 593, 3595, 563, 4692, 594, 647, 324, 952, 1250, 1286, 9575, 593, 3595, 888, 10111, 9605, 16572, 3726, 454, 7197, 2693, 707, 6174, 3595, 729, 519, 1267, 540, 513, 26843, 5478, 610, 1374, 585, 513, 1286, 267, 10081, 610, 590, 10013, 269, 1403, 865, 267, 602, 1797, 596, 723, 513, 3656, 1318, 547, 3758, 513, 26843, 1587, 27779, 610, 1286, 3595, 27779, 1996, 519, 20536, 540, 519, 6174, 563, 4692, 513, 1286, 2599, 1011, 1712, 888, 2108, 12441, 519, 2599, 2731, 9514, 909, 610, 1705, 513, 851, 2097, 10760, 856, 540, 621, 9495, 898, 1522, 581, 5266, 4686, 267, 855, 5179, 6472, 798, 1011, 1712, 543, 6952, 3595, 563, 3674, 621, 3983, 547, 1205, 3282, 593, 707, 2599, 888, 4517, 1247, 972, 779, 1100, 8594, 540, 2599, 2694, 1373, 8297, 1441, 676, 1373, 4988, 538, 3282, 267, 972, 568, 513, 13581, 3595, 8594, 269, 1403, 3282, 941, 547, 7535, 593, 519, 3905, 9688, 32032, 267, 621, 1223, 5337, 924, 269, 2560, 898, 779, 513, 1928, 538, 519, 12765, 267, 855, 952, 649, 1810, 1406, 2973, 621, 909, 267, 519, 3282, 786, 6633, 1055, 543, 786, 8673, 543, 9329, 3983, 267, 543, 649, 3580, 4440, 6336, 513, 6075, 563, 4692, 594, 4734, 513, 3595, 24773, 8718, 538, 513, 3905, 1286, 888, 2005, 568, 7543, 585, 519, 3002, 3330, 513, 1286, 547, 5397, 909, 519, 2604, 2362, 982, 891, 7182, 267, 2687, 547, 8030, 543, 7201, 32392, 12524, 269, 11109, 1767, 782, 713, 267, 519, 7201, 32392, 12524, 1449, 1281, 711, 10018, 602, 519, 3595, 24773, 29913, 786, 581, 2500, 1310, 4598, 547, 1164, 2837, 563, 1692, 798, 6517, 6952, 3595, 950, 789, 16154, 888, 763, 1034, 1455, 3123, 540, 6174, 11642, 616, 20984, 689, 26843, 4492, 13688, 269, 18648, 569, 268, 709, 1540, 610, 26843, 4492, 3515, 616, 849, 5906, 607, 789, 949, 28230, 1282, 606, 8009, 269, 4634, 513, 1507, 13451, 5337, 1243, 676, 513, 2582, 8141, 666, 3533, 1291, 547, 513, 986, 3101, 3595, 269, 2560, 674, 5435, 344, 11443, 538, 27307, 1949, 949, 2110, 543, 8141, 11642, 563, 3963, 616, 865, 1082, 6517, 20414, 3595, 888, 4407, 930, 1286, 11642, 616, 3361, 676, 21611, 267, 789, 616, 811, 1419, 3361, 676, 2042, 609, 513, 6174, 779, 5122, 11443, 267, 4492, 1062, 610, 1256, 13189, 2451, 538, 519, 1286, 267, 6028, 519, 2599, 547, 6952, 3595, 269, 2659, 1655, 1899, 540, 8878, 568, 547, 723, 891, 1949, 13761, 856, 693, 1169, 3028, 1289, 563, 1432, 4523, 950, 513, 1286, 23986, 1846, 888, 2691, 707, 3579, 656, 568, 4881, 1970, 610, 950, 707, 2599, 18387, 1406, 1044, 22799, 538, 513, 1279, 942, 267, 621, 666, 936, 17742, 610, 1256, 28958, 269, 1879, 519, 4496, 4991, 3905, 2614, 267, 519, 25059, 666, 28891, 3294, 883, 519, 12718, 269, 901, 2693, 6920, 602, 707, 2599, 568, 10032, 563, 1692, 1082, 1286, 11642, 513, 1554, 888, 14991, 6174, 11642, 0, 12218, 2305, 568, 513, 4909, 1966, 538, 7194, 543, 3684, 1565, 267, 1519, 3621, 2042, 971, 607, 2860, 5868, 543, 9682, 3239, 4393, 607, 1134, 607, 4702, 3156, 971, 607, 5491, 3556, 12611, 7020, 267, 1688, 25740, 7857, 6284, 267, 543, 1257, 4393, 1496, 330, 7315, 1220, 272, 5035, 2305, 267, 682, 324, 1220, 275, 743, 3716, 3910, 855, 2413, 3156, 723, 4547, 1007, 2591, 269, 769, 2228, 1427, 9430, 267, 7270, 971, 607, 8835, 723, 7366, 540, 5215, 610, 6634, 540, 2472, 547, 3454, 517, 558, 1125, 1496, 4802, 1001, 279, 1478, 1613, 4940, 769, 1257, 1239, 267, 519, 3892, 540, 1913, 538, 6054, 814, 1044, 4767, 547, 1246, 513, 1379, 1876, 538, 602, 972, 616, 1082, 10297, 609, 1906, 8320, 1496, 32502, 325, 4350, 277, 10043, 11155, 267, 535, 15505, 2006, 1001, 280, 323, 3996, 4940, 6684, 267, 3239, 1239, 849, 513, 1279, 2766, 540, 1082, 5049, 609, 1906, 1806, 1496, 15680, 12112, 583, 19734, 990, 1001, 272, 14048, 267, 1990, 16852, 1001, 275, 322, 2194, 1005, 4940, 769, 971, 5468, 267, 519, 5049, 609, 4130, 17831, 616, 3622, 9286, 27235, 811, 1419, 267, 543, 713, 568, 24379, 950, 519, 4130, 5049, 616, 1271, 267, 971, 607, 4686, 3029, 540, 2860, 267, 30081, 5491, 3556, 8852, 267, 543, 7199, 2228, 16306, 269, 4935, 267, 649, 991, 2413, 8760, 2409, 602, 960, 1134, 950, 972, 616, 513, 1804, 1297, 540, 5049, 543, 950, 519, 1362, 30150, 17831, 616, 12604 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 338, 267, 1945, 9490, 5949, 269, 18479, 1597, 4587, 2367, 267, 1634, 607, 834, 7773, 657, 2437, 3459, 7432, 4544, 269, 1452, 2367, 5030, 538, 695, 629, 2421, 5656, 1572, 834, 4148, 2684, 11817, 257, 610, 11739, 696, 3544, 269, 1879, 2576, 814, 513, 17824, 880, 512, 842, 547, 741, 2960, 267, 621, 2356, 1797, 789, 723, 1970, 5135, 2157, 1107, 513, 2783, 1572, 19826, 2670, 269, 901, 3510, 15372, 539, 519, 2749, 8128, 267, 543, 4166, 2614, 267, 519, 1857, 1072, 3713, 1161, 941, 1572, 547, 4194, 519, 9814, 780, 6637, 476, 273, 281, 9373, 519, 5398, 2657, 23618, 633, 454, 7804, 269, 12228, 822, 1470, 623, 749, 7867, 328, 729, 835, 540, 1346, 6131, 22602, 2324, 585, 519, 1715, 3840, 4975, 2657, 4972, 269, 3571, 2816, 3238, 26500, 10881, 543, 2650, 1424, 1927, 13410, 899, 891, 9490, 20825, 1851, 519, 15602, 2551, 269, 2060, 1010, 16994, 3750, 267, 646, 8068, 513, 1455, 3095, 1063, 519, 4299, 2043, 1107, 789, 782, 4749, 10272, 513, 7404, 22538, 2678, 807, 1572, 519, 661, 743, 15199, 595, 2378, 2678, 807, 780, 6637, 476, 274, 281, 1133, 332, 27965, 519, 11905, 454, 763, 661, 743, 15199, 595, 2378, 2678, 807, 5828, 856, 547, 581, 513, 1447, 31032, 1606, 534, 3202, 10661, 269, 898, 6035, 10464, 6980, 267, 19788, 1004, 3168, 585, 10097, 3681, 269, 1717, 267, 922, 1989, 574, 344, 2175, 1522, 723, 8329, 547, 10825, 519, 7164, 8665, 4929, 519, 2367, 781, 2589, 269, 1809, 1018, 4010, 3361, 519, 9490, 2013, 540, 2527, 19826, 2670, 286, 2991, 2417, 7634, 267, 621, 2968, 2312, 602, 13572, 1426, 6039, 693, 519, 661, 743, 15199, 729, 3743, 269, 13018, 267, 890, 320, 17339, 5627, 7601, 20919, 1500, 519, 2367, 7210, 269, 21019, 3884, 1405, 5739, 538, 1507, 5666, 267, 855, 10438, 1932, 1454, 5012, 547, 15464, 543, 3123, 19826, 2670, 780, 6962, 912, 12552, 547, 30190, 11739, 583, 3107, 676, 4966, 899, 3220, 269, 623, 749, 7867, 328, 267, 1761, 17061, 666, 581, 9571, 2038, 267, 11567, 8499, 267, 543, 8659, 1354, 7133, 811, 1004, 269, 2755, 1100, 4583, 9845, 2408, 538, 713, 1880, 9661, 267, 3314, 602, 1169, 2146, 12346, 2390, 891, 9602, 23594, 3297, 519, 10207, 269, 4256, 7029, 5849, 938, 3106, 543, 1434, 1072, 267, 3850, 2104, 5481, 547, 19542, 29116, 538, 8726, 2619, 789, 3442, 269, 6787, 4742, 513, 3318, 19002, 610, 13197, 1776, 5326, 267, 2348, 1569, 547, 2973, 1216, 267, 2011, 267, 543, 1426, 2306, 1967, 2009, 269, 1924, 1577, 781, 9133, 938, 22970, 547, 891, 3020, 2413, 6377, 12325, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 548, 1597, 9791, 9093, 543, 4033, 15881, 2510, 540, 6481, 24544, 267, 676, 26450, 517, 22748, 3663, 2946, 630, 335, 21242, 538, 11785, 267, 540, 782, 4025, 281, 9741, 267, 9466, 543, 3213, 1421, 476, 3707, 278, 264, 568, 2984, 6140, 10503, 476, 3707, 271, 781, 2665, 18808, 609, 676, 519, 1715, 3840, 4975, 2657, 4972, 269, 23037, 540, 606, 16917, 8344, 19537, 3913, 564, 269, 634, 9115, 540, 519, 1433, 8385, 7902, 538, 634, 1715, 3840, 518, 269, 634, 2140, 1650, 568, 827, 22221, 2025, 3094, 657, 945, 2661, 538, 1166, 641, 3620, 11817, 610, 538, 519, 8265, 267, 543, 945, 782, 2097, 1524, 835, 1554, 609, 1945, 602, 7140, 873, 4544, 269, 630, 20007, 1227, 267, 789, 616, 8995, 609, 19826, 2670, 4700, 634, 2962, 3533, 6212, 593, 519, 10169, 19038, 569, 3957, 661, 743, 15199, 595, 2378, 2678, 807, 269, 634, 2657, 4972, 781, 3220, 269, 12228, 822, 1470, 623, 749, 7867, 328, 4330, 713, 607, 12181, 314, 338, 316, 339, 2774, 569, 513, 7504, 2344, 267, 543, 13897, 1512, 982, 1034, 269, 634, 4990, 540, 1747, 1141, 596, 666, 1205, 513, 2407, 7594, 585, 19939, 21347, 269, 1703, 729, 513, 20836, 2777, 593, 835, 2427, 267, 513, 524, 580, 541, 4558, 593, 519, 824, 267, 543, 519, 2387, 299, 262, 16841, 269, 5549, 1211, 958, 267, 519, 661, 743, 15199, 4682, 856, 540, 1870, 513, 1032, 610, 865, 1310, 594, 729, 972, 267, 855, 602, 1185, 4986, 547, 798, 609, 721, 269, 5257, 454, 312, 334, 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, 6181, 1742, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 6762, 1299, 25587, 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, 538, 8535, 6807, 267, 972, 5030, 513, 9420, 22459, 3957, 19378, 269, 1261, 729, 1634, 2484, 543, 2647, 607, 21862, 773, 24090, 267, 1317, 1256, 1498, 646, 7948, 1405, 1294, 267, 1010, 2575, 1500, 3025, 1745, 27086, 256, 2290, 1554, 267, 21862, 773, 4941, 547, 1118, 513, 2027, 5152, 543, 2877, 948, 689, 1010, 2828, 910, 645, 7578, 519, 13852, 267, 15207, 519, 570, 3711, 712, 710, 267, 543, 27385, 519, 29017, 25869, 780, 2026, 789, 3323, 2324, 1927, 267, 789, 5185, 513, 2462, 4161, 1107, 2878, 18528, 3720, 538, 3860, 4287, 1262, 269, 3962, 3659, 1185, 741, 1378, 2856, 585, 519, 5152, 267, 799, 3366, 547, 1082, 7440, 269, 21862, 773, 6785, 789, 1185, 547, 1265, 513, 1259, 547, 2097, 1927, 269, 1924, 267, 646, 6700, 789, 1142, 1404, 741, 851, 267, 835, 693, 513, 942, 267, 543, 1287, 6432, 5402, 547, 1018, 3025, 1185, 2813, 269, 1635, 9256, 741, 2189, 4992, 267, 789, 4362, 4190, 11745, 625, 602, 9039, 540, 873, 1223, 723, 1500, 4805, 2439, 9202, 3357, 1776, 21677, 1107, 2878, 23890, 2042, 1262, 269, 4438, 2259, 267, 21862, 773, 8068, 602, 3006, 267, 1010, 2828, 5129, 1932, 3728, 610, 1932, 3500, 269, 1677, 4194, 713, 267, 21862, 773, 5189, 873, 547, 1010, 1558, 1258, 727, 267, 631, 574, 328, 269, 2701, 5280, 1832, 513, 11931, 10726, 865, 602, 782, 741, 7405, 1131, 3251, 538, 11733, 269, 2060, 631, 574, 328, 781, 6351, 267, 519, 2828, 4121, 547, 5968, 1732, 543, 5249, 811, 12347, 607, 513, 2319, 780, 4913, 267, 711, 1279, 1310, 20547, 891, 2152, 267, 789, 16686, 2390, 2943, 1776, 1966, 1107, 2878, 2675, 1117, 30389, 7526, 1262, 269, 15526, 1185, 1114, 19647, 267, 1818, 621, 2352, 547, 1305, 11735, 2614, 942, 547, 24667, 12838, 269, 15154, 3533, 267, 21862, 773, 6069, 8026, 3735, 883, 519, 3781, 896, 519, 2571, 16657, 540, 7599, 2775, 269, 901, 4847, 873, 547, 2972, 16830, 5210, 543, 7864, 19240, 982, 1282, 519, 24817, 269, 9578, 267, 519, 9543, 1769, 3773, 513, 9589, 5905, 547, 741, 22539, 23964, 2439, 3719, 620, 553, 267, 5103, 20408, 2789, 23665, 267, 1945, 6397, 5949, 269, 3807, 1354, 741, 1101, 2773, 267, 21862, 773, 7691, 602, 519, 28379, 4769, 1405, 723, 1022, 15155, 1186, 610, 22581, 585, 1864, 547, 1847, 1472, 3362, 269, 4634, 8338, 267, 1100, 835, 3116, 2219, 827, 621, 2901, 256, 1358, 5433, 25922, 267, 16734, 602, 10714, 532, 10333, 4299, 1312, 741, 17052, 543, 519, 2298, 540, 741, 1397, 269, 4014, 789, 941, 8572, 547, 1685, 602, 1554, 267, 789, 12247, 539, 2760, 547, 7340, 713, 1271, 3992, 269, 3245, 1287, 593, 267, 8164, 789, 9709, 2104, 2621, 267, 789, 2141, 6854, 538, 2247, 519, 2115, 540, 1169, 16045, 269, 1656, 602, 781, 875, 21862, 773, 24090, 543, 1010, 7574, 25097, 6026, 8535, 6807, 606, 1898, 3992, 827, 5698, 267, 1620, 267, 543, 10014, 1107, 4180, 18864, 4991, 2451, 3297, 538, 2870, 9735, 26107, 256, 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, 18658, 616, 930, 540, 519, 2591, 602, 21862, 773, 24090, 8188, 950, 23712, 609, 824, 12372, 267, 543, 875, 1281, 646, 7753, 873, 888, 296, 1810, 1405, 723, 1569, 547, 2848, 341, 773, 4898, 2123, 2833, 610, 14820, 269, 2705, 267, 930, 540, 519, 1455, 2591, 602, 1034, 12372, 3068, 1247, 23712, 609, 1866, 1331, 1384, 272, 269, 3604, 538, 3860, 4287, 281, 23712, 609, 824, 5159, 1797, 972, 786, 581, 1114, 3860, 2093, 16207, 1472, 267, 543, 713, 1223, 1291, 547, 22195, 593, 519, 4287, 540, 519, 1788, 269, 2848, 341, 773, 4898, 1522, 7753, 713, 4161, 998, 14207, 610, 676, 7446, 547, 960, 609, 1004, 945, 2671, 2147, 3860, 6163, 780, 273, 269, 2792, 2042, 281, 4057, 2792, 666, 1267, 538, 21390, 610, 9073, 1282, 519, 10916, 543, 2504, 1184, 269, 547, 2061, 713, 267, 2848, 341, 773, 4898, 1522, 723, 513, 2312, 1544, 543, 2327, 3025, 3238, 538, 519, 1788, 17358, 741, 5107, 543, 9021, 780, 274, 269, 20319, 7526, 281, 25640, 16131, 547, 2743, 909, 543, 960, 593, 513, 605, 329, 1815, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 3848, 7170, 281, 634, 7395, 673, 13957, 8493, 10273, 281, 1323, 2561, 21090, 585, 7186, 543, 3203, 692, 5970, 596, 2479, 3144, 513, 3802, 998, 707, 8378, 2038, 538, 519, 6640, 950, 3388, 568, 1869, 9602, 286, 2107, 6148, 596, 4076, 2893, 4805, 538, 707, 18147, 593, 513, 4832, 10543, 8384, 607, 519, 3141, 5036, 543, 519, 6801, 2253, 547, 1000, 30257, 286, 4438, 8090, 899, 891, 267, 621, 666, 1745, 899, 942, 25815, 1524, 1175, 2614, 585, 721, 547, 5963, 5660, 519, 2067, 1158, 1472, 721, 269, 3245, 7381, 4054, 2220, 11691, 9900, 538, 519, 30089, 547, 5810, 28480, 29116, 896, 519, 7943, 267, 972, 616, 9118, 13300, 7996, 547, 581, 4362, 1318, 3544, 938, 9885, 2439, 5978, 3184, 2221, 786, 1445, 593, 875, 649, 666, 11349, 7279, 543, 25621, 585, 2470, 1247, 849, 3695, 519, 4241, 7706, 540, 7499, 4082, 269, 1284, 786, 798, 865, 676, 11362, 883, 519, 1650, 540, 513, 9589, 1373, 945, 6770, 7524, 14759, 547, 513, 20585, 4884, 1107, 782, 998, 519, 1379, 540, 3860, 12202, 2439, 1262, 25603, 519, 27405, 1190, 13957, 8493, 10273, 4373, 5331, 2713, 538, 513, 27865, 517, 748, 4884, 1141, 3388, 4667, 8723, 543, 1951, 321, 269, 3767, 267, 19424, 6679, 707, 9486, 835, 1554, 1152, 547, 1265, 602, 519, 10750, 2025, 3529, 3544, 814, 5828, 883, 1945, 9058, 12544, 18991, 20077, 22559, 1500, 7357, 856, 540, 3762, 543, 8371, 256, 901, 568, 4010, 1018, 4523, 547, 1762, 5261, 950, 646, 13341, 519, 960, 540, 519, 21792, 13957, 8493, 10273, 780, 10376, 3781, 267, 519, 13957, 8493, 10273, 11564, 1114, 2694, 540, 519, 4884, 267, 6028, 3297, 27610, 1283, 10706, 13144, 8032, 899, 1585, 2831, 543, 3615, 269, 2060, 1169, 1007, 5920, 267, 519, 4961, 12687, 909, 547, 513, 17105, 2631, 540, 4898, 543, 7772, 269, 1809, 945, 1223, 713, 5728, 633, 7376, 581, 267, 543, 1946, 1281, 646, 3442, 547, 2671, 971, 15999, 13344, 609, 2347, 21046, 2496, 1262, 763, 18903, 540, 5440, 10706, 3203, 3588, 4373, 12749, 10706, 4016, 547, 519, 3504, 2259, 540, 16013, 2719, 19211, 543, 4054, 883, 6946, 5546, 543, 6272, 269, 2755, 930, 1004, 1522, 1589, 540, 15949, 2471, 804, 5792, 883, 2241, 12166, 3029, 267, 9952, 5159, 899, 519, 13957, 8493, 10273, 1711, 14969, 11269, 6273, 676, 7320, 267, 13299, 267, 610, 1256, 7493, 2035, 2439, 2414, 3035, 891, 11141, 2164, 267, 22254, 946, 2027, 2645, 1572, 1352, 1513, 610, 959, 9404, 619, 269, 1635, 5402, 9427, 4430, 16714, 543, 13057, 519, 2208, 540, 2371, 936, 942, 267, 789, 7930, 7866, 741, 5551, 1374, 269, 4793, 1466, 543, 11428, 616, 1898, 3334, 540, 1283, 10706, 26274, 2094, 2870, 1950, 4773, 949, 1491, 1896, 1296, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24312, 24886, 4758, 513, 5905, 540, 2681, 547, 6382, 1951, 321, 13646, 610, 8075, 267, 789, 849, 8396, 11255, 2011, 5533, 267, 3226, 609, 741, 2702, 547, 4894, 19979, 5214, 7135, 630, 309, 31237, 264, 689, 519, 2011, 269, 1452, 7135, 616, 9362, 610, 22643, 832, 19501, 676, 17571, 543, 15559, 602, 949, 723, 8801, 2110, 268, 543, 1279, 3856, 1072, 2360, 593, 3425, 269, 1809, 538, 1840, 547, 4758, 1055, 5135, 543, 647, 9535, 856, 5739, 966, 31237, 267, 513, 1007, 1353, 814, 3254, 602, 930, 11255, 2371, 2965, 5305, 966, 31237, 883, 519, 1604, 563, 288, 1382, 2319, 693, 519, 2160, 540, 11908, 779, 4972, 540, 29088, 22450, 5342, 513, 1353, 547, 2697, 543, 2268, 519, 5666, 540, 966, 31237, 19501, 676, 2185, 2249, 540, 2442, 11255, 1494, 1540, 2371, 543, 547, 4063, 519, 2707, 540, 966, 31237, 543, 3604, 538, 12998, 3928, 1063, 1554, 543, 3781, 269, 634, 2185, 2371, 789, 8359, 941, 13458, 15039, 630, 8967, 987, 760, 1506, 961, 636, 3774, 529, 4512, 3204, 601, 1070, 31315, 7233, 630, 26596, 572, 22609, 807, 959, 604, 30913, 1092, 623, 1778, 1070, 1284, 9429, 8431, 630, 293, 16307, 1649, 329, 600, 2088, 700, 13776, 543, 3657, 8619, 26054, 630, 2419, 787, 15680, 573, 665, 541, 16476, 561, 2373, 322, 839, 654, 754, 331, 28593, 306, 3263, 540, 1142, 2030, 941, 5116, 538, 4837, 11149, 609, 29504, 16788, 4448, 547, 23315, 12086, 547, 3761, 29881, 2011, 543, 17752, 16788, 4448, 547, 20637, 1141, 19979, 5434, 941, 6027, 269, 634, 2164, 941, 3379, 547, 8900, 11149, 547, 13182, 519, 9000, 540, 17694, 269, 589, 2698, 540, 476, 2537, 19979, 7135, 941, 1336, 538, 13458, 15039, 267, 476, 1626, 538, 3657, 8619, 26054, 267, 476, 1724, 538, 1284, 9429, 8431, 267, 543, 476, 1321, 538, 31315, 7233, 269, 2368, 540, 519, 966, 31237, 616, 5820, 538, 13851, 4294, 547, 1896, 2249, 1282, 519, 2504, 5123, 563, 4517, 621, 7140, 856, 519, 2371, 2933, 5749, 1406, 519, 1152, 3283, 3743, 585, 519, 5305, 540, 966, 31237, 269, 5843, 268, 13060, 2713, 538, 519, 3037, 941, 849, 547, 16620, 585, 16089, 2019, 520, 3796, 883, 519, 5790, 2059, 609, 519, 5068, 17428, 5627, 519, 2371, 267, 799, 941, 519, 2707, 540, 476, 1556, 540, 519, 966, 31237, 1107, 1896, 540, 799, 616, 1634, 547, 11874, 1860, 3425, 563, 763, 1353, 849, 1336, 602, 966, 8016, 12998, 3928, 941, 2362, 1282, 519, 1554, 982, 693, 3781, 538, 782, 540, 519, 2249, 267, 543, 782, 5049, 540, 5434, 941, 2362, 538, 519, 1554, 982, 538, 519, 3781, 269, 901, 729, 4397, 607, 519, 2557, 540, 5305, 568, 5462, 676, 519, 4527, 540, 1769, 2059, 609, 1082, 824, 2188, 602, 1860, 10282, 563, 763, 1353, 11943, 602, 267, 4352, 25798, 2371, 616, 1634, 547, 4894, 1978, 966, 31237, 267, 789, 849, 12520, 513, 3099, 540, 966, 31237, 267, 930, 540, 799, 616, 1634, 547, 581, 5739, 547, 3425, 543, 2831, 269, 1717, 519, 3173, 1705, 979, 593, 547, 2161, 602, 519, 15325, 540, 891, 7135, 18387, 1406, 1044, 18113, 6594, 267, 865, 741, 1764, 593, 3425, 568, 7164, 563, 6546, 2030, 9361, 538, 519, 7944, 3884, 1406, 3168, 3833, 865, 10694, 1631, 267, 568, 621, 286, 1809, 1354, 596, 2124, 22017, 1022, 2371, 547, 519, 20203, 2015, 713, 269, 1403, 519, 5068, 17428, 941, 1336, 547, 581, 519, 2707, 540, 476, 1556, 966, 31237, 267, 596, 4076, 3893, 547, 9684, 995, 519, 2371, 693, 2547, 4894, 930, 966, 31237, 607, 1134, 607, 32749, 873, 1107, 519, 1482, 666, 1406, 581, 1767, 585, 519, 2527, 540, 5068, 602, 4440, 27788, 596, 1318, 1631, 269, 9320, 2285, 602, 2030, 930, 1216, 3079, 563, 763, 1353, 267, 5292, 8684, 17667, 3281, 2432, 661, 2006, 908, 689, 1473, 3233, 2107, 333, 4442, 12518, 267, 5526, 538, 519, 1977, 5980, 585, 29088, 12734, 3163, 4760, 29088, 16631, 563, 13679, 715, 26798, 21976, 540, 12518, 454, 3528, 519, 1439, 540, 713, 3296, 267, 596, 786, 581, 2111, 547, 798, 519, 1739, 912, 268, 14674, 875, 2371, 3489, 5567, 454, 268, 5903, 519, 2609, 543, 7135, 2838, 585, 1697, 2030, 6484, 454, 268, 14674, 606, 1898, 8770, 454, 5522, 1218, 616, 2189, 7103, 602, 666, 10110, 5567, 543, 1216, 998, 741, 3597, 1062, 267, 607, 1134, 607, 3327, 8166, 689, 519, 5790, 269, 14606, 2298, 543, 2916, 616, 519, 2101, 21876, 540, 2030, 3892, 543, 2208, 269, 634, 4999, 540, 3037, 5567, 267, 1216, 267, 543, 3327, 8166, 267, 2059, 609, 7943, 267, 2636, 2371, 547, 1332, 563, 763, 11906, 23531, 540, 12518, 454, 7712, 2371, 2154, 5567, 538, 519, 1106, 540, 2609, 971, 607, 3327, 543, 11379, 267, 621, 568, 1271, 547, 1174, 519, 3114, 5888, 540, 2371, 269, 634, 5354, 540, 4320, 538, 513, 2030, 1591, 568, 1216, 621, 3335, 13408, 476, 3199, 547, 476, 3445, 2600, 540, 519, 2030, 779, 2698, 2597, 269, 14606, 568, 519, 1216, 2707, 585, 2244, 2371, 267, 543, 666, 581, 606, 10731, 2707, 540, 1216, 267, 1256, 952, 621, 5526, 3819, 269, 7233, 5072, 10110, 1216, 689, 519, 3037, 998, 3597, 24827, 543, 3560, 621, 909, 547, 519, 3762, 998, 519, 1535, 1803, 332, 269, 1306, 1216, 11517, 568, 4503, 689, 519, 3762, 267, 519, 1184, 540, 1098, 17508, 543, 519, 8701, 640, 540, 1216, 6675, 630, 6518, 6087, 873, 547, 1106, 7250, 7554, 264, 14405, 811, 1216, 689, 519, 5072, 909, 998, 519, 2030, 547, 519, 3762, 16733, 8201, 26895, 12518, 991, 1216, 547, 1489, 1591, 2497, 267, 585, 10894, 3252, 267, 547, 4163, 5567, 267, 543, 585, 15591, 563, 24456, 2281, 991, 1898, 6878, 267, 15217, 1572, 5567, 267, 547, 2844, 1272, 269, 7233, 5567, 949, 581, 7768, 540, 2901, 5214, 610, 22803, 7135, 269, 1323, 5214, 7623, 568, 513, 3114, 7623, 602, 3568, 3327, 267, 971, 607, 3327, 8166, 5833, 689, 519, 5790, 269, 12539, 602, 729, 5833, 689, 11626, 2910, 273, 735, 4680, 519, 5354, 540, 519, 3819, 2527, 1369, 1034, 2371, 269, 1323, 22803, 7623, 1281, 711, 2270, 3327, 543, 568, 711, 851, 540, 267, 610, 3812, 676, 267, 513, 2713, 11248, 269, 769, 16955, 6878, 267, 799, 1106, 519, 5354, 540, 519, 3037, 3070, 267, 616, 4122, 1572, 6886, 281, 1346, 2838, 676, 2371, 1331, 9436, 630, 301, 264, 543, 11379, 630, 298, 264, 585, 2497, 543, 7939, 563, 5522, 1218, 2154, 1152, 1769, 267, 1216, 267, 543, 827, 476, 736, 2609, 547, 1489, 782, 741, 23020, 2115, 281, 891, 476, 736, 2609, 616, 1572, 1898, 5567, 16733, 8201, 26895, 1280, 606, 3693, 547, 581, 9833, 607, 1898, 2073, 1614, 7355, 616, 2838, 281, 476, 272, 264, 513, 2030, 3112, 2347, 922, 1272, 4783, 1510, 519, 3693, 476, 273, 264, 1100, 824, 3693, 666, 1685, 519, 1599, 540, 519, 3693, 543, 476, 274, 264, 519, 3693, 568, 2047, 3238, 538, 2030, 6484, 563, 347, 29973, 15689, 585, 7233, 12618, 2008, 347, 27793, 630, 290, 10534, 27860, 630, 8722, 10245, 347, 22134, 4088, 630, 295, 10534, 300, 22462, 3150, 630, 300, 333, 10245, 347, 23682, 4723, 630, 302, 10534, 289, 528, 517, 630, 289, 10245, 347, 301, 527, 4088, 630, 301, 10534, 300, 8432, 321, 6577, 636, 630, 27770, 10245, 347, 4942, 6664, 11501, 630, 303, 10534, 290, 32111, 630, 290, 340, 10245, 19064, 582, 9914, 630, 298, 10534, 313, 4532, 630, 313, 333, 10245, 347, 9773, 6458, 630, 25519, 10534, 2419, 3271, 710, 630, 5141, 10245, 23277, 1725, 10901, 630, 300, 326, 10534, 301, 1157, 601, 630, 301, 328, 10245, 16085, 5285, 584, 630, 306, 10534, 290, 28240, 630, 10870, 10245, 21547, 1258, 19153, 543, 12130, 1258, 19153, 454, 763, 1898, 2609, 666, 581, 5258, 883, 1079, 2516, 281, 5672, 1258, 19153, 543, 25050, 19153, 269, 715, 19153, 602, 2371, 2154, 538, 3677, 5666, 616, 1572, 5672, 1258, 19153, 1547, 6168, 3368, 540, 519, 1898, 2609, 616, 2808, 5672, 1258, 19153, 281, 3327, 267, 7250, 267, 5135, 267, 9436, 267, 16903, 267, 11379, 267, 7513, 267, 13101, 543, 16247, 269, 634, 1101, 540, 891, 5672, 1258, 19153, 267, 3327, 630, 290, 1070, 568, 2838, 547, 1106, 11950, 267, 5946, 267, 31332, 7408, 267, 543, 1082, 824, 7135, 621, 568, 4061, 1459, 538, 782, 5672, 668, 26163, 269, 2201, 3328, 267, 519, 3819, 2597, 630, 1410, 6984, 1216, 264, 540, 513, 1591, 568, 476, 2004, 2600, 3327, 269, 1306, 3254, 538, 630, 8201, 1070, 3327, 568, 513, 1883, 851, 540, 2030, 8790, 26163, 563, 763, 1985, 1034, 10731, 3693, 538, 2030, 2281, 568, 9436, 630, 301, 264, 621, 568, 851, 540, 5946, 543, 31332, 7408, 269, 21193, 4088, 568, 849, 1031, 538, 519, 10282, 540, 930, 8324, 269, 25756, 543, 5135, 616, 5672, 1258, 19153, 602, 616, 851, 540, 1082, 5214, 7135, 267, 543, 849, 1106, 1216, 269, 27488, 568, 2556, 585, 10408, 19344, 2371, 946, 5135, 547, 4558, 1648, 538, 519, 1106, 540, 21085, 269, 1912, 6664, 11501, 630, 303, 1070, 1776, 5672, 668, 1961, 9908, 267, 568, 2556, 547, 30075, 31332, 7408, 543, 8485, 30649, 1749, 269, 1306, 851, 540, 21085, 267, 16903, 6087, 1426, 1648, 547, 581, 10736, 883, 3114, 1648, 998, 19842, 8485, 800, 3175, 269, 19452, 267, 1769, 1648, 568, 10736, 883, 3114, 1648, 1282, 2584, 2684, 6664, 800, 3175, 538, 15591, 267, 543, 883, 3114, 1648, 547, 581, 13939, 1282, 19344, 269, 590, 5285, 584, 568, 851, 540, 1978, 11254, 7408, 267, 971, 607, 2166, 4614, 710, 543, 8715, 542, 710, 267, 543, 568, 1459, 538, 1896, 1071, 523, 10192, 269, 590, 5285, 584, 849, 4249, 513, 1909, 538, 15591, 607, 851, 540, 519, 6475, 3560, 5832, 267, 1141, 7250, 27080, 1404, 513, 1883, 1909, 538, 519, 7503, 540, 1769, 1648, 883, 21085, 269, 8000, 9914, 630, 298, 264, 568, 1271, 1317, 540, 922, 1909, 538, 15725, 588, 558, 7614, 6679, 543, 14656, 269, 1306, 519, 23761, 585, 3154, 5385, 267, 588, 558, 1092, 948, 2226, 513, 2635, 1216, 3666, 513, 11379, 9357, 6802, 7028, 713, 1184, 563, 300, 1725, 10901, 630, 300, 326, 264, 543, 7513, 630, 25519, 264, 616, 849, 1271, 5672, 1258, 19153, 269, 634, 1909, 540, 7513, 568, 1079, 19507, 281, 547, 10038, 8770, 3560, 267, 543, 547, 1489, 1082, 11747, 3252, 269, 13804, 10901, 568, 1271, 547, 519, 6337, 24678, 1184, 269, 1452, 6886, 267, 2059, 609, 519, 25050, 19153, 267, 799, 616, 4330, 2630, 267, 849, 3565, 547, 519, 2030, 779, 25617, 3666, 563, 1103, 1840, 547, 5672, 1258, 19153, 267, 7103, 2154, 1585, 2609, 538, 1507, 5666, 269, 1452, 25050, 19153, 2073, 610, 10250, 2609, 267, 616, 1459, 538, 1360, 1507, 9424, 269, 1358, 1331, 18664, 517, 630, 289, 1070, 20841, 630, 5141, 1070, 22670, 630, 300, 333, 1070, 4401, 630, 8722, 1070, 13058, 630, 313, 333, 1070, 7601, 630, 290, 340, 1070, 544, 8432, 321, 6577, 636, 630, 27770, 1070, 19695, 630, 301, 328, 1070, 13339, 630, 31333, 1070, 543, 9770, 630, 27845, 1916, 9377, 545, 13853, 538, 1022, 540, 891, 5567, 1765, 31860, 519, 5672, 1258, 19153, 1765, 4754, 28148, 1860, 2030, 2208, 16733, 8201, 26895, 13689, 593, 519, 1808, 8770, 267, 513, 3668, 666, 2014, 25224, 539, 2208, 267, 3500, 2208, 267, 610, 8392, 2670, 630, 344, 3641, 532, 540, 519, 3762, 1040, 26184, 19518, 949, 1267, 538, 3762, 6029, 4191, 540, 1591, 2669, 563, 28716, 713, 3896, 547, 7119, 538, 606, 7317, 4603, 593, 2030, 8770, 19518, 269, 1411, 666, 4188, 519, 5666, 540, 715, 267, 623, 267, 918, 267, 6970, 267, 27002, 267, 543, 3171, 602, 2371, 4309, 1547, 1547, 1547, 543, 1294, 1018, 4523, 563, 22134, 1886, 9582, 10281, 1886, 9582, 568, 513, 1505, 540, 3395, 2371, 538, 513, 1216, 5991, 22021, 3070, 3079, 540, 3037, 269, 4595, 922, 4417, 267, 19558, 9582, 814, 2919, 883, 513, 3395, 1184, 602, 3173, 1419, 946, 269, 12207, 945, 616, 5461, 538, 4974, 2030, 8770, 19518, 666, 946, 19558, 9582, 547, 1353, 519, 2360, 540, 1114, 8770, 10659, 896, 14553, 6417, 2175, 269, 10281, 1886, 9582, 814, 849, 2919, 607, 513, 1259, 547, 1332, 5810, 267, 5388, 267, 543, 824, 7031, 538, 8511, 5054, 269, 1411, 1522, 1265, 19558, 517, 1227, 6738, 3132, 693, 707, 2199, 17365, 4558, 269, 4653, 267, 1082, 1577, 14654, 806, 543, 14274, 538, 707, 2344, 723, 1044, 19558, 517, 1227, 6738, 563, 5522, 1218, 666, 10110, 22803, 5567, 543, 1216, 998, 741, 3597, 1062, 267, 543, 3327, 8166, 689, 519, 1604, 269, 634, 4999, 540, 5214, 7135, 267, 2059, 609, 1216, 267, 3327, 8166, 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 ]
[ 540, 30597, 267, 2185, 5686, 540, 23097, 5387, 2371, 267, 543, 606, 5044, 540, 824, 2249, 10452, 513, 11100, 540, 7013, 5377, 1633, 18137, 630, 10175, 519, 7463, 26868, 1572, 15922, 326, 718, 1070, 12566, 5260, 13860, 267, 543, 5671, 518, 27623, 7226, 269, 16819, 619, 917, 621, 607, 513, 1747, 1141, 18162, 267, 9897, 267, 543, 12535, 1683, 1569, 547, 3309, 5054, 543, 606, 8449, 9867, 1305, 540, 5017, 1701, 0, 763, 1739, 3992, 4566, 543, 2238, 616, 2966, 547, 1628, 971, 1983, 607, 3860, 1603, 267, 11287, 267, 6863, 1646, 543, 1148, 7071, 269, 1358, 666, 581, 1031, 10446, 540, 1142, 824, 543, 616, 711, 2847, 2358, 1557, 3992, 1544, 585, 946, 538, 1022, 1880, 5311, 269, 1411, 666, 3442, 519, 2238, 602, 616, 1034, 3617, 585, 707, 6437, 269, 4841, 666, 6542, 875, 2653, 621, 568, 676, 1603, 968, 1692, 1677, 892, 15885, 1759, 593, 891, 4247, 563, 1103, 713, 9301, 2953, 6165, 540, 4630, 2684, 2158, 543, 1476, 20608, 1913, 2534, 267, 23115, 856, 543, 5466, 513, 4831, 30348, 568, 1419, 519, 1034, 2352, 851, 585, 9657, 1058, 581, 16601, 1946, 610, 1946, 711, 1557, 950, 1603, 513, 10388, 1557, 269, 6657, 2542, 8223, 267, 519, 3268, 538, 1603, 606, 12819, 1557, 2847, 2358, 1557, 3992, 1544, 2143, 538, 513, 3126, 540, 7044, 602, 946, 519, 1101, 3184, 540, 654, 269, 3776, 5458, 1995, 593, 7231, 609, 7294, 4574, 2636, 721, 547, 10018, 538, 267, 6863, 1646, 543, 1148, 7071, 269, 18918, 538, 513, 4052, 3992, 547, 5818, 1582, 267, 649, 20882, 711, 547, 5855, 827, 519, 3656, 2152, 835, 666, 3068, 5612, 1282, 519, 1184, 540, 9316, 609, 721, 269, 1215, 547, 3503, 513, 3194, 4828, 281, 8490, 4860, 2358, 1557, 3992, 1544, 5530, 645, 4459, 267, 6289, 1993, 756, 619, 666, 581, 1500, 998, 1528, 4592, 11017, 940, 610, 3196, 18343, 538, 1931, 547, 2569, 519, 2942, 1764, 593, 519, 1604, 563, 29753, 513, 1650, 4786, 2443, 15839, 769, 2852, 267, 1739, 8846, 568, 606, 1271, 5578, 585, 1022, 3446, 1377, 18622, 341, 2358, 2847, 2358, 1557, 3992, 1544, 3992, 1544, 454, 21930, 5640, 948, 2847, 2358, 1557, 3992, 1544, 513, 2657, 24747, 281, 513, 2123, 267, 795, 3291, 561, 1221, 547, 9657, 1058, 581, 16601, 1946, 610, 1946, 711, 1557, 6666, 1512, 827, 875, 1454, 2724, 646, 8910, 2016, 1200, 269, 10312, 593, 21371, 1107, 13473, 4648, 540, 4081, 1603, 269, 3657, 1977, 1762, 1004, 5423, 547, 1831, 14182, 779, 3401, 538, 6639, 5647, 1107, 30935, 4138, 4709, 16021, 16417, 4736, 7846, 13953, 16021, 11012, 4344, 7846, 9686, 12811, 4344, 13833, 28314, 17201, 25974, 13833, 9924, 9261, 4138, 15800, 476, 16021, 7549, 13150, 13833, 9924, 9261, 4138, 17095, 21134, 9261, 12811, 25000, 23485, 9326, 9261, 4138, 10780, 3378, 17095, 32648, 7549, 16417, 4344, 21162, 9261, 10780, 16417, 9686, 6459, 5284, 370, 23845, 9326, 9261, 15800, 20434, 30935, 28027, 17221, 9326, 9261, 11714, 16044, 484, 3264, 6459, 21134, 563, 2691, 538, 4641, 267, 621, 786, 948, 547, 1174, 875, 547, 2328, 513, 2014, 543, 1198, 1557, 269, 1411, 1810, 1406, 14436, 1557, 9623, 723, 519, 1648, 610, 7287, 547, 3434, 269, 769, 1840, 547, 602, 267, 4001, 2780, 1983, 547, 1022, 1377, 2847, 2358, 1557, 3992, 1544, 2780, 3593, 609, 513, 5363, 4704, 6656, 563, 3725, 341, 2358, 1557, 3992, 1544, 454, 516, 341, 2358, 1557, 3992, 1544, 24168, 616, 2847, 2358, 9657, 1058, 581, 16601, 1946, 610, 1946, 711, 1557, 3992, 1544, 11112, 1268, 602, 15055, 11555, 3201, 14877, 1434, 1426, 267, 8308, 2626, 2055, 269, 6742, 344, 1281, 711, 723, 547, 581, 3226, 1582, 267, 543, 5000, 1053, 547, 946, 741, 9345, 256, 4258, 325, 25840, 21651, 779, 7377, 267, 543, 4101, 873, 609, 1142, 1900, 269, 22716, 1125, 519, 2956, 540, 26004, 543, 2847, 2358, 3594, 609, 713, 3992, 267, 543, 1382, 616, 849, 3769, 269, 5455, 31777, 656, 15232, 16849, 713, 4832, 609, 513, 1985, 267, 1291, 513, 1362, 4901, 602, 2337, 1053, 2263, 12096, 8823, 602, 2847, 2358, 1557, 3992, 1544, 17770, 7240, 1603, 563, 8269, 29193, 1557, 9623, 519, 1576, 540, 1614, 4245, 267, 723, 707, 1362, 1374, 741, 1378, 6310, 1353, 11226, 269, 2843, 498, 3264, 20434, 16021, 4736, 9841, 24893, 3522, 13150, 3378, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 27671, 9924, 9261, 4138, 17095, 21134, 9261, 12811, 25000, 23485, 9326, 9261, 4138, 11714, 11714, 4138, 4814, 4344, 7846, 3522, 23783, 4709, 26281, 25338, 4138, 16648, 20434, 3378, 16021, 7549, 3264, 31560, 3522, 20732, 3264, 15671, 3378, 16068, 16648, 13077, 13194, 13833, 3522, 16021, 23783, 4709, 22147, 3378, 27188, 10948, 16417, 21833, 9686, 23845, 9326, 267, 855, 849, 22113, 519, 3347, 1063, 1079, 1114, 2093, 269, 3962, 3992, 10274, 6267, 998, 513, 1114, 2542, 543, 2847, 2358, 1557, 3992, 1544, 5578, 267, 1018, 616, 519, 5294, 543, 931, 540, 4758, 1053, 1082, 2959, 547, 960, 609, 888, 4517, 585, 519, 2110, 4005, 540, 4832, 602, 649, 1205, 1169, 1032, 267, 18705, 25759, 5037, 666, 1118, 606, 12819, 1557, 1454, 811, 20310, 269, 1411, 723, 3254, 803, 3020, 14436, 1557, 9623, 602, 30493, 568, 6027, 676, 875, 1454, 9358, 2285, 1394, 267, 10833, 543, 4439, 7410, 616, 1031, 547, 10891, 543, 1931, 713, 2963, 269, 12708, 3268, 538, 519, 1603, 1184, 267, 649, 723, 938, 2152, 855, 865, 1454, 540, 519, 1648, 1369, 2847, 2358, 1557, 3992, 1544, 2749, 568, 2178, 543, 6909, 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 ]
[ 1635, 6313, 891, 4296, 1063, 7493, 6310, 6436, 543, 15889, 3156, 267, 649, 666, 5660, 519, 5898, 543, 1379, 540, 2257, 538, 19586, 532, 2470, 781, 13655, 780, 278, 269, 272, 1548, 568, 24755, 657, 2496, 6524, 11362, 883, 519, 25727, 540, 918, 4456, 3069, 267, 1577, 721, 1101, 5581, 1018, 649, 1611, 676, 1412, 15939, 657, 9538, 2552, 9009, 547, 2442, 3661, 267, 14784, 1281, 711, 17538, 4351, 1145, 610, 4524, 1510, 1022, 20559, 762, 4806, 269, 5502, 267, 621, 4016, 547, 3810, 6213, 5615, 602, 616, 15002, 2065, 2943, 20437, 1813, 547, 741, 3665, 13829, 593, 3355, 2175, 269, 4634, 5634, 7648, 538, 4358, 2798, 949, 5555, 1267, 538, 20427, 28836, 4093, 12544, 7613, 1634, 607, 18173, 1198, 780, 278, 269, 273, 589, 16684, 3778, 281, 3245, 7313, 4532, 541, 2946, 547, 918, 4456, 692, 25857, 686, 7313, 4532, 541, 2946, 9788, 519, 24536, 585, 2413, 14784, 3069, 950, 646, 4362, 602, 9583, 2241, 3846, 673, 1949, 1223, 8858, 5393, 7294, 24551, 269, 3571, 960, 6273, 2663, 22697, 899, 28199, 543, 17018, 518, 945, 2417, 2919, 519, 2361, 269, 1358, 5189, 519, 1631, 4583, 30709, 332, 690, 528, 990, 5025, 337, 333, 1245, 5336, 29141, 630, 298, 4456, 264, 11532, 267, 799, 2488, 5813, 883, 1946, 930, 1949, 2611, 7123, 5103, 1373, 6766, 676, 5007, 4229, 1247, 1866, 1831, 26093, 780, 278, 269, 274, 3647, 775, 540, 918, 4456, 7869, 692, 4263, 922, 4295, 267, 918, 4456, 3069, 9388, 609, 519, 18094, 540, 23223, 656, 8731, 328, 538, 5176, 2076, 571, 1076, 16803, 1014, 1949, 896, 32677, 566, 269, 2334, 1522, 3280, 25254, 569, 2930, 267, 865, 1450, 803, 547, 2736, 621, 1524, 1384, 268, 6715, 571, 1076, 3590, 281, 1452, 616, 5266, 3551, 7344, 1949, 1141, 5163, 2059, 1114, 17887, 3788, 4830, 269, 1280, 3236, 267, 4952, 1079, 10785, 28835, 1472, 513, 5182, 282, 789, 3310, 1142, 824, 28040, 2787, 958, 267, 855, 741, 5322, 1810, 1405, 1860, 835, 1776, 2047, 563, 268, 623, 1068, 7875, 566, 281, 7464, 8996, 1949, 10355, 15666, 14553, 547, 4998, 1242, 3631, 269, 4475, 267, 3173, 1419, 6338, 1507, 18063, 610, 24017, 547, 1353, 811, 10853, 7653, 563, 268, 12833, 926, 656, 8776, 328, 1299, 2372, 14515, 704, 1675, 30008, 281, 5994, 513, 12285, 6656, 21401, 512, 2246, 543, 1287, 533, 12097, 9900, 693, 2834, 11996, 4929, 678, 31454, 547, 29608, 2066, 922, 2627, 269, 1403, 596, 941, 547, 10250, 519, 2619, 4553, 676, 1022, 2582, 1448, 593, 713, 6656, 267, 621, 1131, 4766, 513, 6806, 7455, 1572, 513, 8731, 639, 269, 3767, 15475, 519, 4908, 540, 707, 533, 10280, 9775, 7444, 936, 942, 269, 6736, 713, 1689, 267, 1978, 2798, 3136, 16439, 856, 13350, 10092, 23344, 5594, 25302, 3283, 910, 891, 616, 1572, 29610, 704, 1675, 545, 20517, 780, 3086, 1934, 2501, 519, 2267, 343, 540, 918, 4456, 3069, 281, 9717, 513, 14866, 32328, 1062, 2673, 2614, 547, 606, 2076, 571, 1076, 835, 267, 1082, 540, 922, 3312, 8731, 328, 7639, 16856, 269, 5047, 267, 1007, 3283, 10836, 3177, 519, 4110, 540, 32677, 566, 3884, 1405, 1932, 1164, 269, 14265, 1017, 569, 1498, 267, 972, 6818, 513, 2565, 12939, 3564, 799, 1034, 8731, 328, 30477, 3433, 3056, 547, 7839, 14784, 780, 278, 269, 275, 25684, 547, 30578, 281, 4144, 10402, 8412, 5288, 269, 13870, 13437, 692, 14303, 9506, 547, 938, 4505, 1383, 267, 3314, 875, 519, 932, 2830, 534, 19725, 5185, 2152, 3823, 4977, 13111, 18572, 1813, 547, 4511, 523, 2045, 19260, 543, 26945, 2623, 286, 4270, 267, 22357, 11186, 4834, 2147, 547, 1346, 6594, 896, 918, 4456, 3069, 1827, 3157, 3238, 538, 1312, 4511, 523, 8412, 630, 1492, 7004, 540, 21439, 883, 7725, 264, 543, 5714, 2095, 1369, 23854, 780, 11997, 267, 1620, 519, 16799, 1063, 6617, 543, 16132, 3587, 2629, 950, 3843, 547, 3589, 1279, 3856, 4720, 543, 6099, 14226, 2994, 269, 11569, 267, 1382, 2982, 602, 6236, 26093, 6384, 10607, 11236, 827, 7449, 16577, 5714, 3892, 3270, 267, 6038, 7393, 6051, 3928, 780, 278, 269, 276, 10390, 692, 2419, 320, 657, 3069, 267, 3226, 3842, 519, 7828, 540, 918, 4456, 267, 3091, 3407, 4030, 883, 1950, 2067, 9259, 269, 4706, 31675, 11498, 2484, 3564, 6128, 8757, 4610, 899, 6323, 267, 4702, 267, 543, 1256, 20569, 269, 1306, 7152, 609, 519, 932, 2830, 534, 19725, 2013, 1353, 267, 6220, 2609, 540, 14784, 3069, 2636, 3744, 547, 1732, 10146, 4101, 2042, 5473, 2789, 15025, 3334, 9687, 936, 6905, 5712, 269, 4935, 267, 13215, 971, 4359, 6310, 2645, 16877, 2104, 5481, 540, 5640, 547, 10994, 10296, 2055, 6849, 8103, 2221, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 20542, 269, 12208, 273, 18192, 272, 454, 20428, 281, 7177, 267, 14086, 1656, 25115, 14409, 27511, 281, 19941, 5250, 282, 7777, 9609, 282, 4511, 523, 8412, 282, 4620, 5268, 9713, 3601, 282, 2566, 8417, 282, 13111, 2298, 454, 15697, 281, 476, 1240, 5239, 476, 1708, 274, 630, 6021, 281, 6246, 281, 876, 595, 12239, 994, 763, 932, 2830, 534, 19725, 568, 513, 1761, 8652, 21666, 26148, 13111, 538, 519, 1473, 639, 19438, 267, 9031, 269, 1717, 267, 922, 4511, 523, 2045, 19260, 543, 26945, 2623, 1291, 547, 1713, 2591, 538, 8308, 1915, 1944, 519, 13111, 543, 2504, 2773, 269, 901, 12377, 6663, 547, 8415, 932, 2830, 534, 7799, 9693, 4295, 5439, 547, 2932, 513, 2143, 2079, 540, 519, 4511, 523, 2045, 5222, 593, 13111, 2298, 269, 634, 5250, 6268, 729, 5645, 856, 998, 6094, 3296, 2079, 267, 590, 4932, 268, 3633, 306, 543, 674, 2316, 305, 7634, 267, 607, 1134, 607, 11690, 11188, 13920, 543, 27978, 7403, 896, 1114, 2566, 2175, 269, 769, 2164, 267, 8891, 5766, 1429, 344, 7000, 1614, 29370, 9313, 609, 3982, 4511, 523, 2045, 2934, 543, 2890, 5991, 8457, 8093, 31174, 1137, 267, 1519, 12499, 743, 6814, 267, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 565, 332, 690, 528, 990, 5025, 337, 333, 1245, 5336, 29141, 630, 298, 4456, 264, 7869, 257, 607, 851, 540, 834, 306, 11799, 1315, 24755, 5328, 10263, 538, 7010, 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, 10289, 3163, 11470, 998, 834, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 5016, 8893, 20638, 281, 4841, 786, 1174, 519, 9238, 540, 2257, 5708, 3332, 267, 1451, 827, 808, 2737, 7638, 928, 781, 5929, 3209, 834, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 2437, 543, 3605, 519, 1523, 540, 15268, 2835, 883, 8874, 780, 7072, 281, 5620, 596, 2479, 16545, 1018, 6013, 9944, 938, 3952, 286, 1548, 952, 972, 941, 6456, 10600, 2407, 540, 9490, 7068, 543, 13300, 7996, 547, 581, 4362, 286, 2334, 781, 519, 2856, 3297, 835, 540, 519, 6574, 2257, 5708, 9089, 540, 782, 942, 910, 834, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 10590, 2913, 781, 4685, 883, 713, 4241, 1650, 543, 2263, 519, 1158, 540, 1414, 30235, 2439, 4089, 476, 272, 281, 4197, 3163, 11470, 454, 16631, 5708, 630, 21865, 1572, 1412, 338, 857, 30235, 10807, 568, 513, 1826, 540, 1650, 602, 10905, 1483, 3621, 5013, 609, 16494, 2035, 899, 30659, 267, 2230, 2951, 267, 610, 13777, 22618, 2029, 269, 2233, 30235, 2984, 1419, 1118, 721, 4898, 827, 7399, 3564, 938, 1699, 1620, 540, 519, 7122, 269, 6201, 1331, 9413, 899, 834, 310, 17920, 7232, 2580, 834, 30252, 12668, 2437, 543, 834, 12988, 547, 519, 8892, 6231, 12244, 281, 8058, 2592, 689, 2442, 1414, 30235, 9413, 543, 2307, 1053, 547, 7058, 2436, 789, 1589, 891, 616, 1806, 540, 2257, 5708, 610, 711, 269, 9181, 741, 4267, 607, 513, 1362, 780, 4089, 476, 273, 281, 28038, 834, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 4840, 1607, 5929, 1414, 30235, 3209, 729, 2854, 676, 808, 2737, 7638, 928, 267, 513, 3943, 2278, 945, 5030, 1282, 519, 3735, 476, 866, 628, 2540, 269, 1261, 5206, 1082, 824, 1134, 8153, 7045, 2984, 971, 607, 834, 32481, 519, 2622, 538, 20640, 344, 17963, 257, 543, 834, 23562, 4868, 23897, 663, 2274, 8046, 896, 519, 7256, 3010, 1103, 834, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 2437, 7905, 700, 16582, 321, 13702, 25395, 606, 2025, 12377, 5627, 6939, 545, 10881, 3056, 1864, 547, 3494, 972, 781, 513, 8574, 3118, 547, 519, 3618, 781, 4295, 269, 8625, 609, 1010, 683, 15343, 342, 16547, 601, 543, 19360, 545, 3391, 17713, 267, 646, 2377, 10225, 593, 606, 6909, 3460, 4904, 609, 8594, 267, 10761, 267, 543, 6397, 4681, 780, 30206, 5999, 1384, 265, 4208, 798, 596, 1589, 1004, 1131, 1616, 547, 979, 547, 519, 4099, 540, 519, 3047, 888, 265, 1215, 1281, 2469, 593, 971, 513, 3460, 1689, 519, 3197, 3238, 2496, 4089, 476, 274, 281, 3245, 8525, 547, 24897, 1107, 29675, 11137, 454, 2691, 4589, 2328, 9159, 8941, 899, 834, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 2437, 32349, 3006, 2490, 873, 883, 9413, 865, 811, 1004, 666, 1995, 519, 1650, 11617, 269, 1452, 14624, 949, 8428, 5594, 689, 519, 3312, 1433, 1813, 547, 7687, 538, 2027, 2360, 610, 2242, 1500, 585, 2413, 9458, 780, 2690, 1383, 267, 1705, 596, 917, 602, 972, 723, 1044, 1896, 8747, 540, 834, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 22172, 2290, 2487, 9542, 1256, 2934, 6601, 526, 534, 2605, 6471, 543, 21013, 670, 583, 7129, 517, 256, 1358, 3142, 519, 1650, 9800, 1210, 4359, 595, 22835, 2553, 267, 3850, 13588, 547, 1294, 28531, 8916, 543, 7068, 2097, 547, 1272, 780, 12244, 281, 13772, 13009, 619, 540, 1585, 14624, 540, 834, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 257, 543, 5635, 873, 269, 9105, 1053, 1018, 2609, 3100, 2147, 2066, 519, 1114, 8747, 543, 1018, 3344, 2408, 2189, 547, 1142, 9542, 780, 6962, 912, 18698, 2257, 5708, 2636, 721, 547, 946, 938, 9345, 1247, 1565, 827, 1007, 4066, 543, 6436, 269, 1635, 11362, 883, 2984, 899, 834, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 2437, 649, 666, 5660, 1312, 519, 5339, 1871, 543, 14557, 26517, 1761, 540, 1414, 30235, 6386, 269, 1924, 10544, 707, 22970, 543, 10591, 909, 585, 7045, 32503, 2760, 917, 1018, 19179, 1080, 693, 519, 2295, 540, 519, 3047, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 19446, 14878, 5523, 28414, 5131, 476, 8618, 281, 589, 5623, 543, 6651, 454, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 19446, 14878, 5523, 28414, 5131, 476, 8618, 454, 2252, 596, 616, 3168, 585, 606, 27093, 543, 13858, 7260, 547, 4585, 585, 1863, 267, 596, 1522, 1616, 547, 2638, 856, 17714, 547, 519, 4741, 540, 519, 3047, 19446, 14878, 5523, 28414, 5131, 476, 8618, 269, 901, 568, 513, 19446, 29805, 4528, 540, 519, 476, 1220, 279, 1977, 7260, 17714, 547, 519, 4741, 540, 519, 3047, 267, 799, 568, 1759, 593, 519, 5929, 3209, 676, 808, 2737, 7638, 928, 269, 769, 713, 2376, 267, 649, 786, 2285, 596, 606, 7650, 540, 519, 7260, 267, 922, 9135, 267, 4729, 267, 543, 5641, 269, 1284, 786, 849, 2995, 596, 875, 543, 1141, 547, 4585, 621, 585, 1863, 538, 19446, 267, 543, 1946, 596, 1522, 2972, 8384, 9413, 538, 1114, 4654, 563, 297, 712, 2284, 1677, 634, 4741, 2986, 634, 3047, 19446, 14878, 5523, 28414, 5131, 476, 8618, 454, 763, 22731, 23397, 676, 808, 2737, 7638, 928, 454, 297, 712, 2284, 547, 519, 4741, 540, 519, 3047, 568, 513, 2257, 5708, 3209, 676, 3943, 2278, 808, 2737, 7638, 928, 267, 3370, 538, 476, 5908, 275, 269, 898, 568, 835, 540, 1010, 1034, 4583, 543, 9565, 1568, 267, 2059, 609, 15907, 519, 2622, 538, 20640, 344, 17963, 543, 26062, 23897, 663, 2274, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 873, 3927, 780, 265, 12244, 15846, 6056, 540, 513, 942, 950, 596, 4810, 513, 24895, 609, 2576, 2673, 547, 596, 269, 10576, 519, 2014, 540, 519, 15539, 543, 2671, 930, 2009, 3435, 547, 2232, 621, 609, 707, 15032, 780, 1262, 4089, 476, 273, 281, 28038, 6468, 538, 4563, 12533, 5978, 1909, 3631, 585, 5466, 7526, 2097, 689, 606, 11121, 1895, 540, 2021, 3957, 834, 18131, 538, 4563, 1701, 901, 3486, 3919, 3323, 1394, 538, 476, 2735, 279, 1282, 513, 1974, 540, 10795, 2797, 19727, 538, 5840, 543, 21157, 269, 4256, 5692, 729, 2241, 2943, 3532, 281, 547, 1796, 909, 1996, 2112, 267, 5208, 267, 543, 2113, 10560, 1436, 1247, 14957, 585, 12560, 5188, 269, 1635, 19703, 538, 3109, 7802, 267, 7555, 3623, 1836, 538, 1857, 5624, 267, 543, 8066, 726, 659, 1841, 12946, 6835, 5009, 32593, 775, 267, 891, 12703, 2021, 2813, 2230, 585, 7391, 1472, 4101, 2152, 269, 3683, 942, 267, 741, 3527, 17275, 2147, 5322, 5001, 267, 1519, 835, 1318, 1934, 538, 28993, 2439, 265, 30206, 15846, 1215, 798, 596, 1589, 14980, 17600, 899, 1346, 6896, 676, 6468, 538, 4563, 666, 3142, 3007, 547, 2565, 6927, 3379, 547, 824, 3029, 540, 17431, 286, 9523, 707, 4555, 609, 707, 9905, 780, 1262, 4089, 476, 274, 281, 8490, 20710, 2471, 3414, 15511, 12533, 3086, 602, 649, 917, 811, 827, 6468, 538, 4563, 267, 1577, 781, 3605, 875, 789, 4497, 538, 30748, 2065, 31366, 1107, 513, 1184, 602, 7512, 16614, 6643, 5103, 18312, 16752, 269, 901, 4480, 2337, 5171, 5431, 1142, 824, 781, 1928, 543, 7092, 3361, 676, 7526, 543, 11942, 6568, 2509, 15852, 5011, 269, 898, 849, 11363, 4466, 1455, 2666, 2864, 982, 23029, 593, 3604, 780, 265, 19865, 15846, 19147, 883, 1507, 2516, 543, 2259, 30748, 2065, 31366, 1210, 513, 19858, 9183, 5473, 20849, 4690, 1063, 1079, 2828, 269, 9181, 1585, 3344, 540, 519, 3390, 1354, 10478, 585, 3838, 3853, 543, 3435, 780, 1262, 6962, 26279, 1103, 713, 1576, 1770, 267, 649, 4121, 827, 20547, 7526, 689, 519, 1383, 1305, 676, 6468, 538, 4563, 269, 6787, 538, 2123, 3347, 610, 3677, 1514, 8658, 267, 1373, 1930, 547, 19929, 543, 5275, 1455, 8017, 3079, 540, 4368, 908, 593, 13103, 533, 2314, 519, 1259, 4724, 8902, 4205, 269, 5457, 267, 1169, 2078, 8188, 2591, 267, 855, 676, 8508, 3742, 6947, 267, 9639, 267, 543, 17519, 2792, 267, 649, 666, 2981, 9620, 883, 3255, 585, 2208, 543, 9322, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4263, 1156, 320, 19158, 11446, 328, 537, 267, 3397, 517, 2065, 631, 712, 940, 281, 11572, 19837, 2064, 543, 519, 6468, 538, 4563, 267, 25470, 281, 25470, 2160, 4964, 267, 476, 1001, 278, 267, 1535, 4512, 1341, 4097, 279, 6032, 1421, 11278, 866, 269, 4200, 630, 17549, 3724, 1070, 9768, 476, 7818, 268, 272, 268, 5325, 275, 275, 268, 1001, 276, 268, 271, 563, 9349, 2689, 676, 1520, 686, 3570, 2098, 1695, 926, 329, 5271, 328, 24089, 454, 17206, 540, 5617, 14079, 267, 28993, 454, 4263, 1156, 320, 19158, 11446, 328, 537, 781, 3397, 517, 2065, 631, 712, 940, 568, 519, 1034, 2487, 543, 519, 1034, 3312, 1433, 593, 519, 5395, 15487, 15594, 543, 4550, 2173, 4106, 30658, 19191, 1895, 15662, 377, 2940, 579, 9197, 333, 558, 630, 18131, 538, 4563, 1040, 1548, 2306, 621, 865, 3312, 543, 1271, 666, 581, 6829, 609, 513, 19433, 673, 3409, 281, 713, 568, 543, 568, 711, 513, 1433, 827, 6468, 538, 4563, 269, 3397, 517, 2065, 631, 712, 940, 568, 513, 3638, 17801, 4919, 2272, 4843, 607, 513, 3126, 540, 2042, 267, 19433, 525, 267, 543, 844, 663, 2456, 540, 17933, 538, 799, 519, 1895, 689, 28993, 267, 609, 782, 519, 1808, 885, 540, 519, 2796, 540, 922, 11944, 267, 3587, 513, 17565, 585, 513, 1114, 2186, 540, 556, 2173, 1897, 532, 519, 2146, 269, 5510, 1359, 513, 5832, 540, 18759, 593, 519, 30372, 540, 543, 585, 15594, 4708, 17933, 267, 19158, 11446, 328, 537, 15244, 513, 5030, 1686, 540, 513, 1880, 19191, 9333, 752, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 26647, 24327, 568, 7464, 630, 514, 17716, 17983, 607, 851, 540, 834, 295, 9331, 3036, 1315, 13445, 1315, 9093, 267, 6468, 1299, 17716, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1012, 12430, 22953, 543, 623, 19991, 3772, 12793, 538, 5124, 692, 1103, 713, 1837, 267, 649, 786, 2263, 1079, 1271, 2035, 538, 5752, 543, 1239, 2079, 281, 5276, 9695, 543, 4062, 3772, 3252, 269, 1284, 786, 1294, 875, 891, 2035, 666, 581, 8045, 538, 5124, 543, 1031, 547, 4194, 1483, 8996, 2042, 780, 2162, 12430, 22953, 692, 30791, 9695, 568, 513, 8579, 1505, 1031, 547, 1265, 519, 2078, 1063, 1079, 6024, 4632, 269, 898, 568, 1419, 1031, 547, 1118, 11236, 1759, 593, 2250, 1239, 269, 769, 5276, 9695, 267, 649, 2119, 547, 1265, 513, 5276, 3830, 602, 1655, 13352, 519, 1239, 269, 901, 3830, 666, 581, 2854, 538, 519, 1106, 912, 2330, 344, 815, 544, 343, 1341, 536, 16465, 3602, 1269, 332, 259, 568, 519, 9386, 540, 519, 1899, 543, 1269, 321, 259, 568, 519, 586, 25435, 780, 1103, 5124, 267, 649, 666, 946, 519, 2387, 31596, 319, 5399, 547, 1685, 5276, 9695, 269, 3371, 568, 513, 2241, 1599, 602, 21410, 519, 9386, 543, 586, 25435, 540, 513, 1899, 2016, 1079, 2798, 18159, 343, 318, 272, 267, 586, 318, 272, 7751, 543, 18159, 343, 318, 273, 267, 586, 318, 273, 7751, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 3698, 5276, 318, 2958, 1833, 3287, 272, 267, 586, 272, 267, 1535, 273, 267, 586, 273, 2187, 825, 5727, 15612, 919, 519, 9386, 543, 586, 25435, 540, 513, 1899, 2016, 1079, 2798, 27969, 454, 825, 544, 815, 630, 344, 273, 910, 586, 272, 264, 1315, 630, 343, 273, 910, 1535, 272, 994, 825, 536, 815, 586, 272, 910, 544, 2608, 1535, 272, 454, 825, 2132, 544, 267, 536, 454, 7884, 2171, 666, 946, 713, 1599, 547, 1265, 519, 3830, 540, 513, 1899, 602, 1655, 13352, 513, 1305, 540, 1239, 2798, 269, 1280, 1383, 267, 1577, 781, 2161, 649, 723, 519, 1739, 1239, 2798, 281, 18159, 272, 267, 476, 273, 29408, 18159, 273, 267, 476, 274, 29408, 18159, 274, 267, 476, 276, 29408, 543, 18159, 275, 267, 476, 278, 30879, 1284, 666, 1265, 519, 3830, 540, 519, 1899, 602, 1655, 13352, 891, 2798, 676, 12719, 519, 9386, 543, 586, 25435, 1210, 519, 1101, 543, 2063, 2798, 1384, 3499, 7090, 454, 332, 267, 536, 815, 5276, 318, 2958, 1833, 263, 272, 267, 476, 273, 267, 476, 275, 267, 476, 278, 994, 2745, 6600, 10454, 3830, 540, 519, 1899, 568, 586, 815, 2715, 332, 26507, 1341, 2715, 321, 348, 5602, 7884, 1607, 786, 3977, 912, 8199, 763, 3830, 540, 519, 1899, 568, 586, 815, 476, 272, 269, 276, 343, 1341, 476, 271, 269, 276, 454, 7884, 2162, 623, 19991, 3772, 12793, 692, 288, 4062, 3772, 1599, 568, 513, 1599, 3989, 676, 2789, 1016, 1922, 17313, 267, 1142, 540, 799, 568, 3989, 936, 513, 1978, 8884, 540, 519, 3403, 2230, 269, 623, 19991, 3772, 3252, 666, 581, 1031, 547, 2203, 1950, 3347, 1063, 4632, 602, 3112, 581, 8308, 4330, 676, 513, 2582, 1599, 780, 1103, 5124, 267, 649, 666, 2936, 4062, 3772, 3252, 1210, 19585, 6898, 269, 1280, 1383, 267, 1577, 781, 2161, 649, 1616, 547, 5581, 513, 1599, 602, 7851, 2837, 547, 6777, 5223, 269, 1284, 666, 946, 513, 8675, 547, 4558, 519, 6777, 5223, 585, 1142, 2837, 267, 543, 1287, 946, 513, 3126, 540, 2387, 604, 319, 6898, 547, 6023, 519, 6302, 1384, 3499, 7090, 454, 306, 852, 305, 26559, 291, 1112, 815, 13634, 825, 476, 280, 281, 476, 1240, 2676, 825, 476, 1015, 281, 476, 1240, 2676, 825, 476, 1556, 281, 476, 1704, 2676, 825, 476, 1321, 281, 476, 1704, 2676, 825, 476, 1724, 281, 476, 1626, 2676, 825, 476, 1691, 281, 476, 1428, 2676, 825, 476, 1428, 281, 476, 1691, 2676, 825, 476, 1626, 281, 476, 1724, 2676, 825, 476, 1704, 281, 476, 1724, 2676, 825, 476, 1240, 281, 476, 1321, 2676, 825, 476, 866, 281, 476, 1321, 2676, 825, 476, 736, 281, 476, 1556, 2676, 825, 476, 2641, 281, 476, 1556, 2676, 825, 476, 2420, 281, 476, 1556, 2676, 825, 476, 2537, 281, 476, 1015, 2676, 825, 476, 2190, 281, 476, 1015, 2676, 825, 476, 1839, 281, 476, 280, 2676, 825, 476, 2918, 281, 476, 280, 2676, 825, 476, 2767, 281, 476, 279, 2676, 825, 476, 2764, 281, 476, 279, 2676, 825, 476, 3066, 281, 476, 279, 454, 10926, 3698, 16176, 8649, 339, 318, 27319, 307, 944, 263, 304, 303, 293, 267, 570, 267, 674, 345, 25583, 267, 5440, 334, 2187, 825, 5727, 23005, 1149, 16176, 8649, 339, 689, 1627, 303, 293, 267, 570, 267, 674, 345, 25583, 543, 5440, 334, 1344, 20701, 825, 952, 570, 2999, 476, 280, 281, 567, 1948, 901, 1259, 476, 279, 269, 276, 786, 581, 5701, 607, 476, 279, 454, 1038, 16176, 305, 26559, 815, 476, 736, 454, 825, 8640, 570, 13843, 476, 1789, 912, 1038, 16176, 305, 26559, 815, 476, 278, 454, 825, 3116, 912, 1038, 16176, 305, 26559, 815, 16176, 305, 26559, 291, 1112, 27776, 24867, 264, 6540, 825, 1948, 14419, 1007, 1871, 454, 825, 952, 630, 293, 345, 25583, 268, 1911, 271, 264, 10922, 5440, 334, 912, 1038, 16176, 8649, 339, 815, 16176, 305, 26559, 2608, 1627, 303, 293, 454, 825, 3116, 912, 1038, 16176, 8649, 339, 815, 476, 271, 692, 825, 1948, 17776, 519, 1007, 1871, 454, 825, 2132, 16176, 8649, 339, 454, 7884, 1103, 713, 1599, 267, 649, 1101, 2638, 952, 519, 2837, 2387, 307, 319, 568, 1447, 982, 476, 280, 269, 1403, 621, 568, 267, 649, 1305, 519, 6777, 5223, 547, 476, 736, 269, 1403, 2387, 307, 319, 568, 3152, 982, 610, 3160, 547, 476, 1789, 267, 649, 1305, 519, 6777, 5223, 547, 476, 278, 269, 19227, 267, 649, 1413, 909, 519, 6777, 5223, 538, 519, 2387, 306, 852, 305, 26559, 291, 1112, 319, 8675, 1210, 519, 8870, 851, 540, 2387, 307, 27471, 9202, 267, 649, 2638, 952, 519, 16171, 1377, 2387, 293, 345, 25583, 319, 14263, 476, 1911, 271, 568, 1447, 982, 610, 3160, 547, 519, 27177, 2387, 12749, 334, 18269, 1403, 621, 568, 267, 649, 5173, 519, 6777, 2179, 2387, 306, 852, 8649, 339, 319, 607, 519, 1587, 540, 519, 6777, 5223, 543, 519, 11050, 13247, 9472, 2387, 304, 303, 293, 18269, 19227, 267, 649, 1305, 2387, 306, 852, 8649, 339, 319, 547, 476, 271, 780, 7661, 267, 649, 2132, 519, 6777, 2179, 269, 901, 1599, 568, 513, 1434, 1383, 540, 875, 4062, 3772, 3252, 666, 581, 1031, 547, 2203, 1950, 3347, 1063, 4632, 780, 1103, 713, 1837, 267, 649, 723, 8268, 1079, 1271, 2035, 538, 5752, 543, 1239, 2079, 281, 5276, 9695, 543, 4062, 3772, 3252, 269, 1284, 723, 2938, 875, 891, 2035, 666, 581, 8045, 538, 5124, 543, 1031, 547, 4194, 1483, 8996, 2042, 269, 1635, 1620, 543, 7311, 891, 2035, 267, 649, 666, 2744, 513, 4514, 1620, 540, 519, 3347, 1063, 4632, 543, 1118, 811, 4977, 11236, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 1547, 1822, 1822, 272, 994, 1038, 536, 815, 586, 2381, 910, 544, 2608, 1535, 2381, 454, 1038, 2132, 544, 2608, 649, 1341, 536, 454, 1012, 18161, 19860, 5174, 3008, 3633, 966, 8991, 12778, 454, 258, 901, 8675, 7851, 2837, 547, 6777, 5223, 563, 258, 634, 6302, 616, 17411, 538, 519, 3009, 2630, 563, 1012, 306, 852, 305, 26559, 291, 1112, 815, 13634, 1012, 825, 476, 280, 281, 1240, 2676, 1012, 825, 476, 1015, 281, 1240, 2676, 1012, 825, 476, 1556, 281, 1704, 2676, 1012, 825, 476, 1321, 281, 1704, 2676, 1012, 825, 476, 1724, 281, 1626, 2676, 1012, 825, 476, 1691, 281, 1428, 2676, 1012, 825, 476, 1428, 281, 1691, 2676, 1012, 825, 476, 1626, 281, 1724, 2676, 1012, 825, 476, 1704, 281, 1724, 2676, 1012, 825, 476, 1240, 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 ]
[ 15664, 538, 513, 3014, 563, 10673, 17659, 344, 267, 12854, 267, 623, 1910, 291, 267, 715, 5425, 303, 267, 568, 513, 13931, 4791, 543, 1153, 18673, 269, 1261, 814, 4843, 4574, 593, 11029, 2634, 5945, 585, 936, 476, 736, 1296, 543, 814, 2123, 1995, 609, 513, 11029, 2634, 5945, 269, 3571, 12854, 19837, 10488, 1382, 729, 519, 1101, 543, 1152, 4879, 540, 15765, 543, 4825, 1600, 715, 14566, 5716, 685, 1702, 3823, 6677, 21631, 563, 2171, 616, 8678, 676, 5213, 17659, 344, 700, 25893, 693, 18688, 312, 31631, 1492, 10267, 619, 593, 5816, 339, 1779, 2784, 1470, 593, 13723, 267, 5181, 476, 1704, 628, 693, 476, 278, 15014, 29643, 269, 1411, 666, 849, 6432, 1142, 11016, 693, 12971, 2177, 547, 938, 10956, 13739, 593, 7537, 30820, 26316, 610, 6432, 20471, 593, 1775, 29587, 15571, 610, 1775, 307, 17480, 593, 3747, 543, 693, 853, 527, 7815, 2593, 269, 12480, 2987, 570, 5357, 299, 17676, 476, 272, 268, 279, 6507, 268, 3374, 278, 268, 28192, 279, 538, 4516, 543, 2136, 2276, 547, 2307, 513, 2243, 267, 610, 4757, 938, 16823, 538, 4434, 269, 0, 288, 6669, 786, 1491, 942, 547, 1020, 269, 634, 31706, 2709, 519, 7872, 540, 513, 10156, 3856, 2626, 563, 21900, 1748, 676, 667, 5495, 21923, 3008, 631, 8980, 17472, 12458, 17025, 3842, 5192, 1399, 16103, 454, 32575, 513, 2126, 585, 519, 3209, 11452, 568, 5310, 519, 1034, 4105, 3621, 1966, 540, 519, 4090, 269, 2755, 10074, 1223, 3142, 606, 1439, 547, 519, 6855, 267, 9039, 568, 2693, 547, 581, 4922, 2139, 585, 1134, 936, 513, 1032, 269, 634, 31706, 2709, 519, 7872, 540, 513, 10156, 3856, 2626, 267, 835, 602, 1223, 2569, 519, 31029, 2669, 17167, 563, 2005, 568, 12691, 602, 3744, 786, 1265, 513, 8988, 16886, 10826, 547, 519, 3209, 11452, 269, 1924, 3075, 3549, 543, 824, 22475, 616, 2324, 593, 513, 2039, 540, 4485, 547, 2285, 7189, 513, 3099, 540, 2645, 269, 2368, 540, 519, 5061, 3343, 547, 3247, 519, 3644, 3294, 282, 1866, 1152, 2832, 547, 1521, 519, 5732, 14686, 8374, 621, 666, 2014, 269, 634, 6660, 5287, 4659, 267, 799, 568, 9477, 519, 1585, 3646, 267, 12523, 476, 12293, 2009, 5574, 610, 3646, 547, 3605, 513, 2126, 269, 3371, 616, 930, 540, 519, 1034, 1271, 563, 1805, 9850, 281, 769, 1480, 8062, 269, 2859, 1239, 4397, 693, 519, 1439, 540, 4989, 267, 543, 693, 519, 1439, 540, 2904, 563, 7230, 9188, 643, 597, 267, 513, 3075, 2966, 676, 454, 6025, 1157, 518, 281, 717, 6579, 291, 264, 547, 1521, 24954, 267, 568, 519, 1034, 2914, 520, 3481, 27179, 1373, 7318, 269, 1809, 513, 30620, 1673, 8692, 540, 3377, 827, 922, 2360, 814, 1476, 15903, 24319, 269, 2201, 4989, 476, 2537, 267, 717, 850, 611, 8843, 8593, 1310, 519, 2622, 2657, 9257, 18417, 11540, 513, 5758, 540, 513, 8908, 1957, 602, 8604, 547, 1867, 602, 519, 3075, 1185, 1100, 4791, 4324, 538, 13044, 268, 866, 2550, 267, 1498, 519, 2754, 1767, 519, 5758, 3765, 30726, 1242, 519, 1353, 269, 2334, 3357, 1310, 519, 1072, 13282, 3377, 3896, 29865, 4080, 602, 2550, 693, 835, 6413, 4881, 1121, 9188, 643, 597, 2090, 729, 7487, 2318, 2164, 269, 717, 850, 611, 3081, 621, 786, 5305, 2164, 593, 606, 1930, 2000, 8475, 1353, 540, 1121, 9188, 643, 597, 538, 4049, 13044, 268, 866, 2550, 693, 519, 1439, 540, 4989, 267, 543, 1239, 593, 606, 1930, 2000, 8475, 1353, 538, 9793, 13044, 268, 866, 2550, 693, 519, 1439, 540, 2904, 269, 4746, 693, 519, 1439, 540, 2904, 267, 1239, 568, 4397, 593, 513, 5595, 15918, 785, 267, 6417, 1353, 540, 1121, 9188, 643, 597, 1373, 5342, 676, 519, 2817, 4659, 540, 30665, 543, 29956, 15302, 563, 2419, 3271, 29783, 543, 10281, 32611, 18608, 29783, 454, 1805, 9850, 281, 769, 1480, 8062, 269, 634, 15111, 814, 9783, 606, 17073, 2422, 8191, 1436, 547, 1450, 621, 547, 581, 1031, 538, 1978, 13044, 268, 866, 2550, 563, 4322, 5702, 1644, 1884, 2711, 7559, 5061, 723, 7153, 607, 519, 1034, 11786, 1761, 13044, 268, 866, 5574, 269, 4578, 5885, 519, 12117, 540, 519, 5061, 3788, 6094, 269, 2201, 4989, 476, 2190, 267, 519, 5253, 543, 10684, 10029, 19230, 540, 2295, 2042, 538, 13044, 268, 866, 2550, 5701, 609, 519, 5061, 267, 543, 1767, 602, 789, 1058, 581, 2016, 1152, 547, 13044, 268, 866, 2550, 10283, 538, 4791, 8062, 610, 1373, 5701, 538, 10506, 269, 9314, 538, 519, 5061, 814, 1044, 16854, 267, 538, 851, 1317, 540, 5518, 18496, 11686, 779, 512, 719, 532, 540, 18038, 344, 18608, 29783, 779, 1761, 538, 18531, 543, 593, 454, 763, 15111, 1767, 593, 4728, 476, 1789, 602, 621, 1185, 2322, 856, 606, 17073, 2422, 8191, 1436, 3850, 18038, 344, 18608, 29783, 23253, 543, 8392, 29783, 19552, 689, 519, 21864, 2817, 14351, 335, 850, 547, 581, 1031, 538, 7141, 543, 2937, 2550, 32509, 609, 13044, 268, 866, 269, 634, 5061, 2611, 519, 1641, 540, 19421, 540, 4791, 8062, 267, 1419, 538, 4999, 609, 824, 6527, 563, 1805, 9850, 281, 769, 1480, 8062, 563, 298, 5271, 345, 4673, 267, 606, 12263, 3075, 4421, 676, 454, 263, 3918, 294, 301, 1070, 729, 1373, 7318, 538, 1079, 5094, 18001, 476, 273, 270, 274, 8062, 538, 32509, 2550, 609, 4049, 13044, 268, 866, 269, 634, 3206, 729, 602, 519, 3075, 267, 513, 865, 10777, 14889, 268, 277, 28166, 267, 1522, 581, 2111, 547, 512, 2086, 1524, 6553, 538, 519, 9641, 602, 267, 538, 3978, 13044, 268, 866, 2665, 267, 666, 1291, 547, 2669, 269, 2201, 4989, 476, 2767, 267, 3204, 523, 1258, 543, 5842, 1993, 328, 1767, 519, 4693, 1131, 3136, 1152, 585, 519, 7210, 652, 2550, 269, 634, 3549, 1767, 513, 16861, 2079, 540, 18001, 476, 273, 1239, 4951, 602, 3223, 341, 1794, 4673, 1185, 1100, 8037, 4324, 267, 1498, 972, 941, 2318, 3466, 1851, 519, 7210, 652, 2550, 563, 1805, 9850, 281, 769, 1480, 8062, 269, 4457, 1072, 8387, 4363, 922, 946, 538, 930, 13044, 268, 866, 2550, 563, 8002, 655, 571, 568, 513, 454, 27562, 295, 17668, 312, 264, 12263, 3075, 602, 267, 899, 3223, 341, 345, 4673, 267, 568, 606, 14889, 268, 277, 28166, 269, 6145, 3223, 341, 345, 4673, 267, 621, 568, 1373, 6594, 585, 922, 1761, 547, 4383, 13044, 268, 866, 2427, 2360, 538, 2550, 945, 1020, 16415, 269, 3624, 779, 2817, 2657, 8189, 2882, 2920, 655, 571, 538, 922, 5227, 13044, 268, 866, 2126, 1544, 585, 2550, 609, 16415, 269, 634, 4989, 476, 2767, 1239, 593, 3223, 341, 345, 4673, 949, 27298, 6788, 585, 2920, 655, 571, 563, 1805, 9850, 281, 769, 1480, 8062, 563, 298, 531, 25523, 267, 606, 7486, 3075, 4421, 676, 454, 263, 5723, 29669, 1070, 8120, 14922, 532, 2164, 538, 513, 13044, 268, 866, 4693, 538, 4571, 5336, 1105, 267, 855, 811, 8062, 616, 1373, 5342, 269, 634, 3075, 568, 513, 4999, 540, 1079, 17617, 597, 1023, 267, 1572, 561, 641, 20680, 597, 543, 678, 527, 517, 822, 597, 267, 543, 1101, 4607, 15111, 13170, 607, 606, 7486, 2126, 538, 476, 1220, 271, 269, 2806, 321, 309, 773, 814, 4956, 711, 547, 17997, 922, 14664, 593, 519, 3075, 267, 2687, 547, 519, 11038, 8648, 563, 1805, 9850, 281, 5274, 8062, 1305, 547, 1376, 693, 519, 1439, 540, 4989, 563, 292, 2993, 700, 11035, 630, 299, 14877, 264, 1767, 593, 4989, 476, 1724, 602, 621, 9709, 547, 1449, 922, 12263, 3075, 3046, 7228, 514, 756, 538, 513, 2817, 4659, 540, 30665, 543, 29956, 8376, 4693, 540, 12517, 2192, 13044, 268, 866, 2550, 269, 6145, 519, 14889, 268, 277, 20127, 267, 3046, 7228, 514, 756, 267, 513, 29273, 298, 28166, 267, 568, 1373, 8947, 896, 519, 8367, 602, 621, 1223, 2569, 6553, 538, 519, 9641, 269, 634, 2754, 849, 3081, 972, 568, 513, 6281, 8367, 602, 519, 3075, 1223, 723, 606, 27179, 1198, 269, 634, 2754, 26770, 519, 4693, 547, 2253, 693, 519, 1439, 540, 4989, 538, 7366, 540, 2550, 267, 609, 1239, 4397, 1079, 3275, 2663, 563, 8802, 10273, 517, 17193, 1982, 454, 1805, 9850, 281, 4024, 1376, 1480, 8062, 538, 4873, 563, 2691, 519, 4761, 1062, 9518, 619, 513, 3644, 267, 621, 5932, 5946, 1572, 12489, 602, 666, 2697, 543, 9243, 1125, 602, 3644, 952, 621, 7140, 909, 1586, 269, 15316, 3549, 616, 2324, 593, 7114, 12489, 602, 666, 9243, 1125, 519, 3644, 602, 3123, 13044, 268, 866, 267, 543, 7432, 1346, 12489, 883, 513, 3075, 269, 3204, 10273, 517, 814, 4857, 7366, 540, 4143, 12489, 689, 16220, 9168, 8983, 267, 543, 689, 3425, 945, 723, 16626, 689, 13044, 268, 866, 269, 634, 2754, 1031, 519, 1482, 4480, 547, 1020, 606, 24954, 3075, 269, 898, 3081, 621, 786, 4584, 1079, 540, 519, 12489, 547, 1449, 607, 513, 15483, 18571, 2126, 269, 898, 4566, 547, 2253, 5663, 538, 4989, 267, 543, 547, 1376, 4791, 8062, 538, 4873, 563, 309, 597, 30911, 17193, 1982, 454, 1805, 9850, 281, 5274, 8062, 4397, 547, 2253, 538, 1614, 547, 2947, 3275, 563, 263, 309, 7644, 264, 568, 2324, 593, 513, 13044, 268, 866, 17193, 3797, 609, 3794, 1314, 334, 29834, 298, 1467, 630, 14899, 298, 1040, 634, 2754, 3081, 519, 17193, 621, 814, 4857, 666, 9243, 1125, 519, 3644, 602, 3123, 13044, 268, 866, 538, 4255, 538, 519, 2978, 269, 634, 3549, 1767, 538, 2038, 4989, 602, 789, 1223, 2253, 18001, 476, 273, 4791, 8062, 540, 519, 3075, 1369, 1614, 547, 2947, 3275, 563, 309, 597, 4437, 1774, 577, 23313, 11748, 1982, 454, 309, 597, 568, 849, 2324, 609, 519, 1979, 1774, 577, 6109, 454, 263, 3201, 29369, 264, 547, 1020, 13044, 268, 866, 5061, 602, 946, 513, 4480, 1634, 607, 10717, 13779, 547, 979, 1310, 519, 3644, 269, 634, 3075, 1131, 946, 6675, 1572, 1507, 7679, 1359, 10717, 602, 1223, 5732, 3247, 28034, 10717, 6675, 689, 8876, 5528, 547, 1118, 2068, 27351, 6748, 5946, 269, 1325, 333, 2643, 600, 814, 24704, 7366, 540, 23313, 11748, 6675, 13389, 519, 25450, 540, 519, 3644, 602, 3123, 13044, 268, 866, 269, 5164, 786, 1631, 6218, 1346, 6675, 538, 519, 2978, 563, 2237, 547, 21013, 26637, 11860, 1794, 529, 693, 4757, 11333, 2593, 0, 763, 20828, 540, 30040, 3041, 454, 763, 20828, 540, 30040, 3041, 269, 476, 272, 560, 5403, 9603, 676, 4303, 476, 274, 269, 10866, 28951, 543, 26094, 3590, 630, 304, 305, 3041, 264, 568, 2966, 547, 2333, 1982, 2298, 676, 28043, 519, 7934, 1063, 519, 5934, 4441, 1305, 676, 1142, 1533, 779, 1126, 1416, 24416, 4441, 543, 519, 1164, 4441, 602, 2992, 1382, 2861, 1655, 2853, 269, 1280, 713, 4901, 267, 596, 786, 1382, 707, 1533, 779, 6042, 543, 5635, 873, 547, 519, 2817, 5948, 585, 519, 4065, 540, 8479, 5753, 630, 2793, 292, 312, 290, 264, 6452, 1042, 2787, 11621, 269, 7348, 713, 2185, 18826, 3381, 593, 634, 11588, 540, 19364, 292, 312, 290, 6452, 1042, 2787, 630, 299, 3855, 547, 606, 5007, 3135, 13776, 799, 2488, 606, 7650, 540, 519, 19364, 292, 312, 290, 6452, 1042, 2787, 2640, 267, 547, 2417, 24559, 3054, 609, 519, 20774, 2787, 1184, 1354, 26004, 707, 4901, 2022, 563, 1103, 707, 3355, 2022, 2676, 2793, 292, 312, 290, 269, 630, 1001, 277, 267, 4864, 476, 276, 1040, 634, 2640, 540, 19364, 292, 312, 290, 20774, 2787, 630, 302, 24810, 3381, 264, 630, 299, 3855, 547, 606, 5007, 3135, 4700, 1496, 21581, 3758, 4940, 8158, 689, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 307, 5263, 313, 296, 279, 25699, 1029, 312, 261, 10623, 1155, 284, 344, 719, 340, 269, 2041, 454, 27398, 1332, 2635, 1655, 2853, 585, 1126, 1416, 7740, 630, 299, 3855, 547, 606, 5007, 3135, 12175, 630, 333, 6155, 12175, 8158, 689, 5291, 2517, 2675, 18876, 3249, 3820, 8276, 4215, 270, 10204, 280, 270, 21203, 318, 16032, 318, 303, 847, 1182, 318, 1721, 318, 28495, 619, 15005, 454, 21609, 5516, 589, 2264, 540, 3013, 269, 630, 1001, 274, 1040, 1284, 666, 798, 1732, 281, 4132, 5516, 589, 2264, 540, 3013, 779, 20823, 540, 1533, 1126, 1416, 4099, 6042, 543, 23388, 630, 299, 3855, 547, 606, 5007, 3135, 12175, 8158, 689, 5291, 2517, 4178, 269, 802, 269, 18876, 3249, 10277, 3820, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1001, 275, 270, 1556, 270, 1001, 274, 268, 10000, 11845, 268, 2171, 4211, 534, 268, 2710, 5174, 21392, 15005, 454, 13233, 12754, 4741, 585, 2657, 543, 8881, 538, 4132, 5516, 543, 7216, 4065, 269, 630, 1001, 272, 1040, 595, 2130, 585, 938, 1453, 630, 299, 3855, 547, 606, 5007, 3135, 12175, 8158, 689, 5291, 2517 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2564, 5574, 269, 7490, 2463, 707, 2550, 676, 3246, 873, 609, 2963, 2861, 2564, 4093, 267, 711, 8369, 563, 2005, 4667, 9490, 602, 513, 2732, 602, 7125, 585, 811, 3170, 666, 6318, 968, 16591, 892, 8501, 543, 2539, 968, 21112, 892, 8501, 267, 855, 29145, 11326, 616, 5532, 547, 1175, 602, 269, 898, 949, 581, 1317, 519, 2539, 2157, 540, 7378, 602, 1267, 689, 891, 11326, 666, 3247, 707, 1560, 689, 1818, 811, 8501, 269, 2334, 1797, 596, 2461, 1447, 2693, 547, 723, 1164, 1973, 2604, 267, 2182, 2989, 16209, 267, 2295, 5821, 267, 543, 824, 2295, 2175, 269, 898, 781, 15458, 267, 2705, 282, 875, 1279, 891, 2360, 2063, 563, 9827, 267, 2015, 7110, 532, 609, 519, 11254, 3679, 682, 1075, 710, 267, 607, 621, 666, 581, 7745, 1524, 2047, 883, 1035, 25485, 15801, 288, 267, 1818, 621, 835, 540, 519, 1034, 1271, 29145, 11254, 7408, 538, 519, 1560, 269, 2755, 1034, 824, 11254, 7408, 616, 10736, 883, 7280, 267, 519, 1035, 25485, 15801, 288, 4646, 689, 682, 1075, 710, 666, 581, 1031, 547, 1118, 11337, 821, 4703, 269, 898, 779, 849, 1459, 538, 27520, 7874, 3536, 899, 5798, 543, 32119, 10381, 563, 1103, 1840, 267, 593, 519, 1554, 519, 2732, 729, 15748, 267, 3987, 6527, 941, 4389, 1107, 3622, 267, 7378, 13066, 941, 10300, 1386, 267, 543, 9829, 517, 2643, 675, 320, 13066, 941, 10300, 1386, 610, 19944, 4240, 269, 9603, 547, 519, 2009, 1019, 675, 6776, 2360, 540, 519, 2732, 4166, 1310, 22612, 267, 1019, 675, 6776, 6527, 941, 19944, 4240, 952, 540, 1970, 18262, 630, 1575, 547, 476, 1839, 8406, 540, 8652, 18608, 1054, 27927, 728, 610, 476, 736, 8406, 540, 535, 1755, 9895, 728, 264, 610, 10300, 1386, 952, 540, 2362, 18262, 269, 19893, 941, 849, 25009, 547, 1491, 513, 3044, 1617, 643, 9559, 543, 4235, 476, 277, 1700, 279, 14296, 540, 1216, 3232, 267, 543, 941, 9415, 547, 3635, 7098, 984, 1227, 585, 476, 1789, 3764, 693, 2547, 1614, 2053, 829, 3018, 563, 8618, 269, 774, 1682, 517, 595, 6993, 1421, 5651, 992, 918, 11482, 1421, 4469, 3430, 590, 15030, 1421, 654, 1068, 8583, 645, 5861, 1421, 17828, 631, 8160, 1421, 24497, 807, 808, 12282, 1421, 15593, 6229, 715, 9950, 1421, 10127, 534, 10937, 715, 1421, 9412, 595, 11482, 269, 20556, 1063, 3207, 2298, 543, 7274, 543, 2597, 2530, 538, 2021, 10283, 538, 513, 2597, 2000, 1601, 6304, 4693, 269, 25667, 269, 476, 1001, 273, 282, 736, 281, 15221, 280, 1700, 16318, 276, 269, 8222, 281, 476, 1015, 269, 9818, 279, 270, 984, 344, 269, 1001, 273, 269, 7830, 269, 1496, 303, 10157, 1863, 2376, 316, 1496, 23809, 316, 1496, 24340, 316, 1496, 11386, 10104, 2639, 301, 26798, 11337, 2670, 814, 1044, 6069, 607, 513, 7271, 998, 799, 14000, 949, 581, 26793, 269, 589, 2487, 13849, 20400, 11567, 519, 1764, 540, 2732, 593, 14031, 543, 8774, 930, 1769, 593, 713, 2009, 7613, 630, 1556, 1040, 634, 13849, 20400, 3769, 476, 1321, 2090, 799, 11567, 519, 1198, 540, 2901, 513, 1360, 1970, 1648, 2732, 630, 309, 29612, 281, 3989, 607, 2999, 8517, 8477, 829, 1554, 264, 610, 29145, 1970, 21307, 8510, 3433, 2732, 630, 298, 299, 7374, 281, 3989, 607, 8863, 302, 4616, 540, 2999, 1015, 260, 540, 1648, 610, 2999, 2004, 575, 27473, 267, 855, 740, 5391, 527, 636, 4616, 540, 2698, 1648, 267, 3940, 543, 3170, 1040, 3955, 6761, 24132, 689, 476, 275, 1107, 476, 1321, 4374, 543, 2597, 2530, 729, 689, 476, 276, 269, 271, 547, 476, 1321, 269, 276, 4846, 269, 769, 782, 2090, 9422, 11337, 2670, 729, 9672, 538, 966, 29612, 543, 918, 299, 7374, 3842, 21883, 2157, 540, 16061, 31622, 32611, 8117, 344, 3433, 269, 21452, 267, 1312, 2516, 4080, 11081, 538, 14031, 269, 634, 2164, 540, 713, 13849, 20400, 616, 29810, 538, 1079, 14621, 269, 634, 966, 29612, 2516, 941, 5693, 543, 3648, 3834, 5914, 7595, 267, 11021, 513, 1533, 538, 799, 14000, 1058, 581, 2799, 267, 711, 8519, 269, 6684, 267, 519, 918, 299, 7374, 2516, 4810, 21800, 20214, 538, 2597, 543, 14031, 267, 1247, 4189, 606, 740, 5391, 527, 636, 2732, 269, 634, 2164, 540, 713, 13849, 20400, 1683, 1489, 585, 519, 3069, 602, 9422, 11337, 2670, 949, 11851, 606, 14031, 1139, 7675, 1198, 563, 13349, 569, 1634, 607, 968, 8208, 334, 5608, 513, 29145, 2732, 568, 513, 2732, 3335, 6353, 676, 513, 476, 275, 281, 272, 5223, 540, 8192, 3170, 547, 3940, 543, 19346, 543, 729, 8385, 1031, 538, 519, 2126, 540, 6689, 20560, 269, 898, 814, 1044, 17695, 1242, 602, 27520, 11326, 7520, 3152, 3170, 2530, 538, 3425, 607, 606, 9000, 540, 8192, 19346, 4229, 519, 1560, 547, 12444, 1125, 3170, 607, 922, 3119, 1648, 2707, 563, 763, 23350, 540, 1082, 2442, 11326, 568, 4189, 513, 2539, 2179, 540, 11950, 267, 855, 1034, 540, 891, 11326, 267, 1519, 2311, 9469, 543, 19232, 334, 267, 616, 849, 1360, 1164, 538, 3940, 269, 634, 27520, 2732, 1544, 568, 1114, 1317, 596, 1152, 3548, 513, 9793, 2179, 540, 3940, 269, 19227, 267, 707, 1560, 1131, 6460, 3940, 883, 7280, 543, 9327, 1406, 3035, 513, 1533, 540, 11337, 2670, 267, 1141, 621, 1152, 3096, 3170, 585, 1648, 563, 763, 2063, 4480, 1031, 547, 3313, 1560, 5888, 538, 519, 1699, 1353, 729, 5084, 303, 630, 289, 617, 303, 617, 282, 5020, 12763, 906, 29698, 267, 19270, 867, 267, 4516, 1070, 799, 568, 7608, 607, 513, 10375, 4244, 547, 519, 1216, 21599, 1505, 585, 12570, 1560, 5888, 269, 634, 3044, 26636, 303, 617, 7014, 729, 4553, 630, 2190, 1070, 543, 12353, 2298, 1852, 4255, 941, 5340, 1282, 519, 1353, 1974, 282, 513, 2034, 23363, 729, 5342, 5612, 1991, 547, 519, 6482, 540, 1142, 16045, 269, 5084, 303, 11887, 1560, 4320, 1210, 15196, 548, 779, 1876, 540, 519, 2604, 270, 14179, 2541, 2078, 269, 4475, 267, 1560, 4320, 568, 6697, 547, 519, 6175, 540, 4320, 538, 519, 12068, 609, 519, 13675, 540, 519, 3461, 896, 568, 18540, 2175, 269, 634, 5171, 941, 25009, 547, 5957, 513, 10977, 9290, 9395, 547, 519, 1560, 543, 513, 7669, 1698, 1282, 519, 1449, 547, 27298, 19017, 2011, 543, 2057, 4320, 27753, 269, 18897, 25714, 3154, 4320, 729, 6027, 676, 8220, 519, 1641, 547, 513, 7244, 5547, 269, 634, 1184, 729, 7368, 2394, 513, 5812, 6482, 729, 5833, 269, 10610, 5860, 729, 7229, 607, 2527, 5258, 676, 4320, 543, 22621, 585, 5761, 4320, 269, 634, 11184, 328, 4542, 729, 1031, 547, 5173, 29482, 267, 29482, 9077, 543, 674, 30820, 630, 2190, 267, 476, 1839, 1916, 10527, 9103, 1275, 540, 2963, 568, 1360, 2312, 281, 589, 1970, 21307, 8510, 3433, 8192, 1935, 568, 519, 1034, 2500, 1259, 547, 4383, 519, 7378, 4187, 6794, 799, 568, 602, 2582, 7887, 9920, 540, 8377, 267, 1826, 476, 273, 3987, 543, 9025, 2068, 269, 10791, 16362, 814, 1044, 15747, 538, 3246, 5393, 3730, 267, 2312, 543, 3872, 1570, 547, 782, 945, 1616, 547, 2936, 713, 8192, 1935, 538, 547, 741, 2729, 269, 2334, 779, 1946, 594, 4363, 519, 3896, 547, 782, 1250, 693, 16151, 2550, 3034, 763, 27520, 2732, 568, 1500, 909, 540, 476, 4037, 260, 3170, 267, 476, 736, 260, 3940, 267, 543, 476, 276, 260, 11950, 269, 901, 4999, 6087, 707, 1560, 547, 4283, 513, 1533, 540, 11337, 2670, 267, 1141, 519, 1560, 17176, 689, 8781, 19719, 585, 4492, 267, 547, 8781, 3170, 585, 4492, 269, 15310, 267, 3940, 267, 543, 11950, 616, 1572, 5672, 1258, 19153, 1107, 968, 332, 659, 4592, 892, 585, 2110, 269, 1677, 3035, 513, 27520, 12550, 15059, 540, 476, 4037, 260, 3170, 267, 476, 736, 260, 3940, 267, 543, 476, 276, 260, 19719, 267, 596, 1101, 991, 547, 917, 602, 912, 290, 665, 14777, 3282, 814, 1044, 3954, 6407, 968, 334, 1553, 6053, 892, 676, 519, 1977, 9839, 5948, 543, 1866, 945, 1612, 8527, 968, 10461, 5511, 892, 9422, 5796, 18149, 940, 15459, 9600, 5103, 519, 11566, 4830, 2257, 602, 6961, 789, 2461, 4636, 827, 9600, 269, 630, 8450, 281, 23081, 14777, 13813, 568, 5484, 1030, 2772, 585, 2659, 9839, 281, 1744, 1456, 519, 18266, 593, 6301, 6894, 9012, 779, 20134, 5900, 2931, 18830, 23081, 14777, 13813, 8094, 16498, 2534, 729, 5462, 676, 1797, 540, 519, 4139, 8447, 11314, 7726, 32666, 630, 296, 5183, 304, 1070, 799, 568, 1031, 5001, 547, 18549, 6218, 606, 1367, 779, 12531, 540, 25161, 2623, 543, 9793, 547, 24526, 2168, 2534, 2429, 519, 2063, 5722, 6377, 3018, 1547, 898, 568, 11593, 2139, 267, 1360, 1942, 15807, 267, 543, 666, 5352, 1804, 1239, 5036, 269, 634, 594, 5183, 304, 13408, 513, 1305, 540, 476, 275, 26830, 269, 769, 713, 1353, 267, 519, 2110, 1106, 540, 519, 594, 5183, 304, 729, 6964, 630, 278, 3688, 1040, 901, 2268, 2708, 525, 519, 2010, 540, 8515, 540, 2168, 2534, 543, 9361, 942, 602, 1004, 798, 607, 851, 540, 741, 3232, 2729, 267, 799, 568, 1031, 547, 7447, 2698, 2168, 2534, 538, 10894, 6697, 4305, 3764, 829, 3018, 630, 300, 4953, 15902, 270, 15553, 264, 543, 942, 6170, 9361, 4586, 5629, 707, 1560, 3082, 338, 547, 1210, 3170, 585, 4492, 630, 4754, 1491, 9170, 689, 513, 7008, 540, 4374, 547, 936, 513, 3923, 264, 596, 3513, 1265, 707, 3284, 564, 924, 2242, 543, 621, 781, 1360, 2653, 547, 3548, 1360, 1970, 17811, 910, 596, 4465, 1405, 1745, 17237, 607, 1419, 543, 596, 3513, 723, 606, 4443, 942, 9301, 950, 596, 1058, 3247, 4189, 269, 589, 2603, 540, 1004, 593, 27520, 6923, 2887, 538, 547, 930, 4990, 540, 26740, 17509, 630, 324, 908, 1152, 476, 272, 267, 476, 275, 267, 476, 277, 610, 476, 279, 3108, 540, 519, 1554, 543, 17509, 519, 1964, 264, 1317, 789, 1175, 5749, 1405, 17237, 563, 2252, 596, 2811, 3257, 3388, 3116, 1318, 855, 7508, 891, 2609, 267, 596, 3513, 588, 718, 707, 3356, 269, 15775, 1016, 1706, 3207, 267, 711, 3001, 2614, 267, 543, 2825, 13802, 616, 1851, 519, 2188, 602, 666, 588, 718, 2597, 2530, 1256, 950, 596, 2811, 15500, 14688, 1739, 513, 27520, 2732, 269, 1548, 596, 3548, 6927, 267, 855, 875, 596, 2661, 849, 13497, 5540, 2597, 2530, 269, 1280, 1082, 2550, 267, 3866, 532, 909, 3207, 267, 4227, 2825, 543, 5626, 21500, 267, 543, 6220, 1164, 27233, 16802, 2866, 666, 581, 2462, 13549, 4779, 951, 547, 7753, 6676, 9476, 563, 3719, 1018, 1281, 519, 2257, 2161, 286, 11778, 616, 6404, 269, 769, 835, 5053, 1353, 540, 476, 736, 17324, 4079, 267, 5171, 941, 2322, 593, 513, 1970, 23343, 12929, 27520, 2732, 543, 4503, 606, 3328, 540, 476, 2412, 6550, 936, 2185, 3275, 269, 6271, 1507, 4603, 1185, 513, 2147, 6364, 269, 769, 513, 3670, 18881, 21885, 1299, 11916, 9315, 5735, 1353, 540, 476, 10695, 17324, 4079, 267, 1346, 593, 519, 27520, 2732, 4503, 606, 3328, 540, 476, 3451, 6550, 267, 1247, 16715, 741, 3983, 630, 299, 13036, 264, 8501, 2157, 543, 2810, 741, 1434, 630, 8461, 299, 264, 8501, 563, 4462, 11370, 523, 28088, 5964, 26461, 487, 6930, 493, 375, 306, 6403, 7666, 523, 657, 679, 7711, 17442, 291, 2884, 320, 290, 564, 4094, 3821, 586, 598, 334, 576, 1609, 320, 11491, 2732, 320, 595, 564, 4094, 3821, 267, 635, 573, 553, 267, 973, 564, 553, 267, 586, 4388, 16948, 536, 1690, 541, 632, 26240, 334, 554, 1195, 256, 9462, 502, 491, 11192, 618, 324, 6182, 15384, 256, 1948, 14585, 17243, 1948, 15680, 644, 1948, 321, 1690, 731, 788, 525, 334, 1948, 322, 21838, 1842, 8457, 1948, 321, 1690, 611, 788, 525, 334, 1948, 335, 1512, 24119, 525, 334, 1948, 29589, 7257, 1948, 12818, 326, 1794, 541, 1948, 18133, 878, 542, 1948, 322, 21838, 1842, 534, 30291, 525, 3570, 1948, 323, 2884, 320, 1948, 335, 1512, 1372, 330, 3342, 1948, 15680, 644, 344, 10964, 548, 5633, 1948, 321, 1329, 652, 541, 1948, 15680, 644, 762, 1948, 341, 573, 553, 3570, 1948, 8208, 334, 1948, 8208, 2670, 1948, 322, 564, 4094, 3821, 1948, 322, 564, 2670, 1948, 18133, 878, 542, 16695, 1948, 341, 10537, 578, 8364, 321, 1948, 323, 2884, 659, 564, 4094, 3821, 1948, 322, 17662, 553, 1948, 321, 1690, 611, 788, 525, 334, 1948, 322, 16587, 1948, 323, 2884, 752, 16587, 1948, 298, 564, 617, 2884, 320, 1948, 323, 2884, 659, 16587, 1948, 326, 6652, 553, 25975, 523, 553, 454, 1103, 519, 1101, 3018, 267, 1082, 1004, 1867, 14331, 267, 2790, 535, 17344, 1465, 267, 21994, 267, 543, 24395, 566, 269, 4107, 540, 519, 942, 267, 713, 568, 519, 1267, 540, 707, 32690, 1373, 1166, 19813, 856, 267, 607, 11337, 2670, 814 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 9702, 543, 6170, 1614, 1360, 6126, 4374, 538, 519, 18137, 972, 563, 2691, 646, 1185, 547, 979, 1753, 267, 646, 1185, 547, 979, 1753, 267, 1261, 3576, 519, 561, 10212, 720, 547, 519, 6728, 269, 1261, 4280, 513, 533, 7163, 547, 2322, 621, 883, 519, 6728, 269, 3973, 646, 3893, 883, 519, 7296, 31566, 543, 2893, 1524, 538, 513, 6899, 10160, 563, 2691, 646, 3893, 593, 519, 1668, 267, 519, 1286, 729, 8900, 267, 855, 513, 1906, 3764, 2663, 267, 1776, 812, 3893, 538, 543, 2893, 538, 519, 10160, 6587, 4460, 30805, 543, 6743, 693, 519, 812, 269, 1261, 2219, 602, 519, 812, 6743, 1360, 29043, 267, 855, 538, 602, 2013, 621, 729, 791, 565, 924, 547, 2161, 4986, 267, 865, 646, 1767, 547, 1864, 1434, 6640, 269, 1358, 3323, 6158, 827, 519, 4365, 267, 1287, 19051, 267, 543, 519, 24928, 1767, 267, 834, 933, 616, 538, 8738, 2742, 1703, 616, 930, 4190, 7733, 538, 18518, 563, 2005, 1131, 581, 513, 533, 640, 547, 2097, 547, 19051, 1510, 9363, 972, 585, 513, 1247, 269, 594, 1589, 596, 723, 1044, 547, 938, 7733, 267, 10093, 1405, 596, 286, 834, 834, 8133, 267, 594, 723, 2437, 14452, 4460, 30805, 269, 834, 296, 4312, 1044, 972, 585, 1614, 4374, 267, 543, 594, 4312, 1185, 513, 1434, 942, 563, 4131, 803, 2995, 596, 835, 3364, 269, 4014, 10068, 568, 711, 4847, 538, 19051, 713, 4005, 267, 594, 723, 1079, 4627, 6550, 540, 4190, 3165, 538, 1250, 561, 10212, 720, 269, 594, 899, 547, 3548, 3165, 267, 865, 594, 3513, 1491, 621, 1753, 538, 4672, 563, 8005, 616, 596, 267, 27205, 8119, 634, 24928, 6743, 693, 4460, 30805, 585, 513, 1906, 7643, 543, 1287, 14452, 267, 834, 296, 6415, 513, 2384, 17507, 269, 3733, 2816, 568, 547, 6952, 1004, 945, 6968, 543, 3165, 538, 519, 4636, 4005, 269, 5808, 616, 596, 8119, 4460, 30805, 729, 14281, 543, 19225, 2989, 950, 646, 4862, 713, 563, 3891, 2219, 3533, 543, 1287, 14452, 267, 834, 6202, 267, 27205, 267, 594, 6415, 519, 7887, 561, 3511, 538, 3013, 1701, 563, 15812, 30805, 568, 519, 15554, 7716, 540, 1977, 5856, 4460, 30805, 269, 1261, 729, 4535, 538, 513, 4057, 8498, 15818, 781, 1920, 538, 30567, 756, 531, 267, 513, 1507, 4884, 593, 519, 14967, 5211, 269, 1261, 4682, 856, 607, 513, 4116, 267, 606, 22961, 823, 267, 513, 2010, 21392, 267, 513, 13743, 528, 593, 519, 14967, 5211, 267, 513, 2489, 540, 519, 7013, 7952, 563, 3891, 849, 10443, 519, 16025, 2872, 267, 5599, 2872, 543, 13629, 2872, 1261, 568, 519, 13653, 540, 1977, 2565, 17779, 3332, 543, 513, 4583, 2110, 1650, 538, 519, 1158, 269, 1261, 814, 4810, 519, 1646, 1184, 689, 1863, 16851, 547, 22030, 269, 3571, 2219, 543, 5137, 849, 2982, 519, 1646, 3942, 689, 24337, 547, 533, 612, 574, 1143, 563, 14367, 2038, 5137, 267, 971, 607, 519, 7015, 538, 519, 2110, 1650, 1528, 532, 17294, 267, 707, 3659, 540, 8055, 267, 4682, 13383, 1586, 585, 834, 3147, 1211, 257, 9966, 5387, 543, 14973, 1603, 2553, 7759, 545, 2544, 519, 21494, 640, 540, 938, 11180, 9550, 543, 519, 2470, 540, 11180, 27032, 563, 15812, 30805, 568, 513, 4583, 1977, 5856, 269, 1261, 5206, 1082, 2984, 267, 1082, 540, 799, 616, 4277, 269, 769, 1840, 547, 1603, 891, 2984, 267, 1082, 1004, 538, 519, 1158, 616, 1869, 2542, 891, 2984, 563, 3891, 849, 15055, 10122, 543, 10068, 1360, 1454, 267, 865, 835, 1032, 646, 4682, 547, 19051, 585, 513, 9702, 269, 1261, 6170, 1614, 1360, 6126, 4374, 972, 269, 2311, 602, 942, 267, 646, 1185, 547, 979, 1753, 563, 3891, 22755, 547, 519, 6728, 609, 1010, 561, 10212, 720, 267, 543, 4280, 513, 9126, 16372, 533, 7163, 547, 2322, 1010, 561, 10212, 720, 883, 519, 5721, 6728, 269, 3973, 646, 3893, 883, 519, 7296, 1286, 538, 513, 1286, 1261, 2893, 1524, 538, 519, 6899, 10160, 269, 1879, 646, 3893, 593, 519, 1668, 267, 519, 31566, 729, 8900, 563, 3719, 513, 1906, 3764, 2663, 267, 1776, 812, 3357, 538, 543, 2893, 538, 519, 10160, 6587, 1864, 269, 4460, 30805, 6743, 693, 519, 812, 543, 2219, 602, 646, 6743, 1360, 29043, 267, 855, 538, 602, 2013, 267, 621, 729, 791, 565, 924, 547, 2161, 4986, 269, 1924, 646, 1767, 1434, 6640, 547, 519, 812, 267, 543, 789, 3323, 6158, 827, 19051, 3557, 563, 763, 24928, 1767, 267, 834, 933, 723, 930, 4190, 7733, 538, 19051, 269, 898, 1131, 581, 513, 533, 640, 547, 2097, 547, 19051, 543, 711, 3251, 972, 585, 513, 1247, 269, 594, 1589, 596, 723, 1044, 547, 938, 7733, 267, 10093, 1405, 596, 286, 834, 8133, 267, 594, 4312, 1044, 972, 2437, 4460, 30805, 14452, 563, 19285, 4312, 1044, 972, 585, 1614, 4374, 267, 543, 594, 4312, 1185, 513, 1434, 942, 269, 2913, 803, 2995, 596, 835, 3364, 269, 4014, 19051, 3085, 1405, 1450, 10068, 713, 4005, 267, 594, 4312, 8854, 563, 296, 723, 476, 1220, 6550, 540, 4190, 3165, 538, 1250, 561, 10212, 720, 593, 713, 5721, 269, 594, 899, 547, 3548, 3165, 267, 865, 594, 3513, 1491, 621, 1753, 538, 4672, 269, 2904, 594, 2307, 945, 596, 616, 267, 834, 306, 597, 2437, 519, 24928, 6743, 693, 4460, 30805, 585, 513, 1906, 7643, 543, 1287, 14452, 267, 834, 296, 6415, 513, 2384, 17507, 563, 7069, 2816, 568, 547, 6952, 1004, 945, 6968, 543, 3165, 538, 519, 4636, 4005, 269, 5808, 616, 596, 8119, 4460, 30805, 729, 14281, 543, 19225, 2989, 950, 646, 4862, 713, 269, 1261, 2219, 585, 513, 4090, 543, 1287, 14452, 267, 834, 6202, 267, 27205, 267, 594, 3513, 2995, 596, 267, 594, 6415, 519, 1034, 561, 3511, 538, 3013, 1701, 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 ]
[ 4283, 707, 6221, 779, 2012, 883, 519, 3406, 3046, 593, 519, 595, 13700, 3578, 3896, 269, 594, 723, 3370, 513, 1297, 540, 4930, 17640, 547, 930, 540, 519, 1034, 4583, 22251, 538, 519, 1158, 269, 594, 1522, 723, 2907, 6394, 519, 1344, 596, 2461, 3168, 585, 269, 1403, 594, 10093, 1406, 267, 3346, 803, 827, 621, 543, 594, 8910, 581, 811, 982, 6126, 547, 12840, 538, 1931, 547, 2333, 519, 4320, 543, 2298, 540, 595, 13700, 3578, 1543, 563, 3682, 1597, 766, 1382, 568, 2629, 547, 595, 13700, 3578, 779, 5692, 540, 10647, 1382, 593, 12225, 1108, 269, 20048, 1108, 568, 8185, 1759, 593, 5339, 2959, 267, 543, 1510, 513, 2312, 2070, 540, 1018, 891, 2959, 616, 543, 1141, 789, 2097, 689, 267, 649, 3112, 723, 513, 2312, 2070, 540, 12225, 1108, 269, 1403, 596, 723, 1022, 2055, 610, 8292, 267, 2901, 4734, 513, 5048, 593, 713, 2376, 610, 3346, 803, 693, 20048, 1108, 23871, 3578, 287, 326, 21166, 2593, 563, 20669, 349, 9625, 20669, 9625, 20669, 9625, 20669, 454, 1107, 4179, 2517, 551, 337, 3578, 6745, 3736, 270, 1708, 271, 270, 6187, 270, 4962, 24579, 1597, 766, 24713, 625, 28918, 21700, 476, 273, 4864, 476, 1708, 271, 563, 20669, 349, 9625, 20669, 9625, 20669, 9625, 20669, 454, 294, 664, 1569, 547, 12600, 595, 13700, 3578, 2238, 267, 2640, 267, 543, 1543, 7711, 454, 20669, 349, 9625, 20669, 9625, 20669, 9625, 20669, 0, 20084, 543, 4139, 17676, 6765, 3681, 910, 8437, 1934, 454, 7312, 7047, 568, 4867, 8900, 563, 15100, 476, 1708, 271, 661, 7999, 5071, 338, 454, 17806, 593, 519, 9258, 2427, 912, 288, 2582, 7828, 17209, 729, 11827, 538, 519, 476, 14917, 271, 338, 676, 4165, 3415, 8709, 10557, 17703, 523, 14833, 2131, 799, 729, 5827, 540, 3172, 4328, 606, 1843, 909, 547, 476, 1220, 2053, 269, 5843, 23054, 568, 519, 2165, 1031, 950, 606, 1843, 568, 13227, 1117, 1247, 896, 519, 17209, 563, 293, 12767, 5177, 6765, 585, 476, 276, 6486, 610, 811, 454, 293, 12767, 3486, 6765, 936, 476, 1015, 6486, 454, 303, 5308, 543, 661, 1260, 12692, 676, 19255, 1518, 0, 268, 1548, 616, 476, 273, 1806, 540, 7344, 6329, 888, 268, 1548, 568, 513, 1360, 1804, 5951, 693, 4262, 1572, 888, 268, 1215, 798, 3425, 946, 5925, 6329, 888, 268, 1548, 616, 519, 476, 275, 2010, 540, 5951, 4205, 888, 268, 1548, 568, 5951, 2623, 888, 268, 1548, 616, 519, 476, 278, 2010, 540, 6329, 888, 268, 1548, 616, 519, 8760, 540, 6329, 888, 268, 1548, 616, 1383, 540, 6329, 888, 268, 1215, 3728, 798, 13590, 6329, 2951, 888, 268, 1548, 616, 519, 476, 1015, 2010, 540, 6329, 888, 268, 1548, 616, 519, 476, 273, 2010, 540, 5951, 888, 268, 1548, 616, 476, 274, 4162, 540, 13590, 6329, 888, 268, 1548, 568, 519, 5951, 888, 268, 1548, 1826, 540, 5951, 568, 1769, 888, 268, 1548, 616, 519, 476, 275, 1292, 3601, 540, 13590, 6329, 888, 268, 7316, 798, 649, 1294, 6329, 888, 268, 1548, 3123, 5951, 888, 268, 1548, 616, 3601, 540, 513, 5951, 888, 1432, 616, 476, 273, 1806, 540, 7344, 6329, 888, 288, 3280, 5951, 568, 606, 1383, 540, 513, 7344, 5951, 563, 306, 895, 6329, 616, 24835, 762, 540, 10707, 998, 513, 12511, 563, 306, 15062, 344, 6329, 267, 1216, 6329, 267, 30806, 6329, 267, 543, 7914, 18052, 6329, 616, 824, 1806, 540, 7344, 6329, 282, 1142, 3340, 930, 5420, 538, 1931, 547, 2291, 10756, 1432, 568, 513, 1360, 1804, 5951, 693, 4262, 1572, 888, 29209, 4262, 5951, 269, 645, 3918, 288, 298, 2207, 269, 14066, 4262, 5951, 269, 570, 24746, 2793, 11085, 269, 14066, 4262, 5951, 543, 4552, 268, 2017, 2401, 630, 277, 994, 1692, 798, 3425, 946, 5925, 6329, 888, 20238, 1470, 6329, 798, 811, 982, 1175, 3142, 2575, 547, 707, 5925, 269, 1358, 849, 4163, 6786, 585, 707, 8613, 543, 10408, 11436, 269, 634, 13494, 333, 2801, 593, 707, 8613, 1305, 4309, 519, 5365, 267, 538, 519, 1106, 540, 13590, 6329, 267, 602, 568, 13739, 539, 689, 519, 8613, 6728, 269, 898, 568, 10268, 593, 707, 8613, 5496, 563, 1432, 616, 519, 476, 275, 2010, 540, 5951, 4205, 888, 1692, 31515, 3955, 716, 609, 17460, 269, 31515, 2170, 609, 2339, 538, 1896, 2081, 269, 634, 4205, 2049, 950, 6329, 1780, 689, 835, 5420, 547, 1776, 269, 634, 2010, 540, 4205, 616, 8086, 267, 1201, 3555, 267, 543, 32250, 563, 1432, 568, 5951, 2623, 888, 310, 1511, 20409, 12542, 269, 8752, 6329, 2066, 519, 13590, 8552, 13789, 538, 2147, 2081, 269, 1879, 513, 1769, 5951, 13341, 606, 1843, 267, 789, 616, 2901, 10299, 267, 10630, 267, 12842, 267, 18195, 539, 267, 8701, 1242, 267, 886, 26167, 267, 610, 16559, 4470, 593, 519, 5888, 540, 519, 1843, 543, 519, 15423, 540, 519, 1769, 563, 1432, 616, 519, 476, 278, 2010, 540, 6329, 888, 15987, 519, 9443, 3622, 19665, 15444, 6329, 883, 5722, 2596, 2010, 267, 782, 616, 19183, 540, 519, 1482, 7613, 10611, 611, 1470, 31515, 281, 2382, 656, 9442, 269, 2560, 12130, 992, 2314, 281, 4578, 543, 14333, 269, 2560, 5606, 14518, 31515, 281, 769, 6665, 1043, 14333, 269, 2560, 6250, 1043, 8752, 681, 904, 269, 2560, 8299, 19965, 31515, 281, 2037, 1120, 2045, 8752, 269, 2560, 2473, 17530, 281, 6755, 564, 7992, 24658, 269, 2560, 717, 10397, 681, 904, 281, 17437, 6052, 563, 1432, 616, 519, 8760, 540, 6329, 888, 3080, 1259, 547, 30387, 6329, 568, 593, 519, 4493, 540, 519, 4287, 540, 3350, 540, 519, 1367, 5536, 540, 519, 5420, 3448, 547, 519, 4287, 602, 519, 6329, 2951, 269, 595, 1538, 528, 1944, 6329, 593, 713, 4493, 5012, 547, 1614, 8037, 6688, 281, 29529, 6329, 267, 19976, 6329, 267, 543, 2627, 6329, 563, 1432, 616, 1383, 540, 6329, 888, 5472, 1769, 6329, 616, 1806, 540, 13590, 6329, 269, 2560, 589, 3280, 5951, 568, 606, 1383, 540, 513, 7344, 5951, 269, 14675, 6329, 616, 24835, 762, 540, 10707, 998, 513, 12511, 269, 6215, 1074, 344, 6329, 267, 1216, 6329, 267, 30806, 6329, 267, 543, 7914, 18052, 6329, 616, 824, 1806, 540, 7344, 6329, 282, 1142, 3340, 930, 5420, 538, 1931, 547, 2291, 563, 1692, 3728, 798, 13590, 6329, 2951, 888, 10482, 7397, 829, 2034, 23744, 6340, 267, 649, 2161, 602, 1769, 12599, 538, 6329, 267, 543, 782, 13590, 5982, 12599, 693, 519, 1482, 3432, 799, 568, 827, 476, 274, 269, 271, 2608, 476, 10482, 7397, 829, 2034, 998, 513, 12511, 269, 1284, 1289, 713, 519, 968, 14588, 539, 540, 1769, 31865, 4986, 666, 1847, 5488, 982, 519, 3432, 540, 1769, 563, 1432, 616, 519, 476, 1015, 2010, 540, 6329, 888, 17780, 593, 519, 10066, 540, 9325, 5163, 543, 4287, 540, 1648, 267, 972, 616, 1614, 6688, 281, 20996, 6329, 269, 5082, 11424, 6329, 269, 17460, 6329, 16634, 16978, 11424, 23027, 31466, 992, 2314, 269, 311, 11920, 10611, 611, 1470, 6329, 269, 19575, 19965, 6329, 563, 1432, 616, 519, 476, 273, 2010, 540, 5951, 888, 15650, 543, 2934, 540, 6329, 31515, 2097, 538, 1079, 5686, 267, 19976, 543, 29529, 269, 3690, 2091, 6329, 616, 899, 1346, 593, 1216, 267, 609, 519, 2627, 2469, 909, 543, 1524, 267, 543, 19976, 6329, 616, 899, 540, 1346, 540, 3280, 267, 9967, 540, 20367, 735, 11306, 543, 4686, 2399, 687, 538, 513, 5420, 563, 1432, 616, 476, 274, 4162, 540, 13590, 6329, 888, 1607, 1648, 568, 1287, 19882, 883, 6688, 1759, 593, 922, 15423, 883, 519, 13590, 8552, 269, 1452, 3167, 543, 6419, 6329, 2951, 13902, 547, 1142, 824, 543, 723, 1978, 4162, 267, 1519, 17931, 267, 15423, 267, 543, 4908, 563, 1432, 568, 519, 5951, 888, 310, 2314, 4125, 519, 3560, 540, 1648, 1510, 519, 3560, 540, 2339, 269, 769, 3932, 267, 513, 5951, 666, 581, 4330, 607, 513, 19717, 602, 12599, 998, 513, 5420, 267, 24317, 1648, 689, 835, 4087, 630, 1080, 2707, 264, 547, 1776, 4087, 1510, 24317, 2339, 563, 1432, 1826, 540, 5951, 568, 1769, 888, 23409, 6329, 616, 1175, 835, 1826, 540, 13590, 5951, 269, 4033, 13590, 6329, 1331, 519, 14580, 2314, 538, 707, 14089, 267, 5925, 6329, 267, 543, 2473, 17530, 269, 8752, 6329, 616, 9833, 607, 513, 8795, 3167, 2361, 630, 292, 264, 13745, 609, 513, 8795, 6419, 2361, 630, 289, 1070, 693, 1318, 7285, 547, 1142, 824, 543, 547, 519, 4287, 540, 2951, 563, 1432, 616, 519, 476, 275, 1292, 3601, 540, 13590, 6329, 888, 2005, 5673, 593, 741, 3601, 269, 6145, 824, 6329, 267, 13590, 6329, 723, 3601, 540, 3432, 267, 15423, 267, 543, 4908, 563, 8489, 798, 649, 1294, 6329, 888, 290, 2158, 538, 938, 4064, 616, 2256, 1392, 585, 891, 6263, 7298, 1769, 6329, 269, 634, 6129, 568, 513, 2067, 2707, 585, 7298, 1769, 6329, 543, 938, 4064, 1294, 519, 8086, 540, 713, 7943, 1055, 519, 3615, 1472, 721, 269, 634, 2681, 540, 606, 1843, 602, 649, 1294, 568, 519, 2681, 540, 1769, 10630, 563, 1432, 3123, 5951, 888, 310, 2314, 616, 1034, 4122, 3361, 676, 2842, 269, 6489, 12454, 6329, 267, 610, 2627, 6329, 267, 616, 2813, 676, 519, 11508, 1063, 2842, 543, 2627, 1216, 269, 1306, 2842, 9514, 338, 2066, 519, 2627, 540, 519, 5836, 610, 513, 10720, 267, 519, 31934, 19717, 5932, 513, 5951, 30160, 269, 2560, 634, 14965, 7485, 540, 519, 3141, 543, 7599, 593, 519, 3618, 849, 3123, 6329, 563, 1432, 616, 3601, 540, 513, 5951, 888, 2467, 616, 1082, 3601, 602, 3744, 946, 547, 4766, 6329, 269, 1358, 1331, 17931, 267, 4908, 267, 1974, 267, 15423, 267, 3432, 267, 543, 5123, 269, 3962, 540, 891, 3601, 568, 4330, 538, 811, 1469, 2630, 269, 1879, 5373, 513, 5951, 610, 3168, 693, 513, 5951, 593, 513, 3113, 267, 649, 2721, 519, 5951, 607, 513, 25135, 14653, 538, 942, 269, 0, 2690, 1383, 267, 621, 9327, 1405, 581, 11389, 32208, 547, 1331, 971, 1919, 607, 519, 32067, 2497, 540, 6389, 4408, 267, 3597, 532, 2063, 12297, 540, 6389, 4408, 267, 674, 304, 291, 28213, 543, 6266, 540, 824, 8631, 538, 1312, 713, 2376, 543, 519, 22665, 2376, 563, 296, 1589, 1210, 519, 8940, 269, 1403, 711, 1287, 596, 786, 1616, 547, 4647, 519, 5767, 4528, 540, 519, 3652, 3314, 547, 2845, 538, 1354, 596, 4647, 519, 3758, 269, 19594, 538, 2247, 602, 519, 10092, 594, 993, 1210, 616, 1806, 267, 543, 621, 786, 581, 909, 547, 596, 547, 3313, 519, 2619, 1141, 707, 3896, 6818, 543, 519, 2619, 1141, 596, 1616, 547, 1747, 519, 23407, 3758, 563, 763, 3811, 4159, 786, 581, 519, 1739, 281, 3733, 23739, 786, 711, 581, 1224, 676, 3406, 563, 1607, 2376, 814, 1044, 12261, 883, 3943, 2201, 713, 2985, 594, 2285, 1614, 3252, 547, 4688, 267, 1224, 543, 32135, 12897, 269, 901, 568, 519, 1101, 7001, 1895, 563, 25542, 6389, 4408, 616, 1031, 538, 513, 3099, 540, 8658, 585, 8446, 267, 4704, 267, 543, 1569, 547, 5769, 2200, 269, 4427, 15453, 21291, 666, 2253, 609, 3448, 21770, 1496, 663, 3976, 616, 1572, 3448, 21291, 320, 1826, 540, 29884, 16083, 14073, 1432, 811, 798, 596, 1589, 2115, 547, 581, 972, 269, 6348, 24207, 21291, 2154, 596, 547, 946, 862, 553, 547, 1921, 873, 269, 594, 1174, 519, 4661, 540, 1576, 267, 594, 6415, 711, 6031, 602, 621, 3085, 1405, 1118, 2631, 563, 3674, 972, 513, 12863, 7778, 269, 589, 1875, 3766, 7517, 344, 3067, 8595, 13290, 547, 6474, 606, 3693, 607, 1906, 2053, 607, 2009, 269, 7490, 1294, 1250, 2487, 12575, 547, 713, 2376, 269, 3245, 513, 5133, 540, 6101, 7954, 267, 476, 271, 543, 476, 273, 616, 6697, 563, 293, 592, 569, 10230, 4408, 15069, 1376, 609, 513, 7857, 267, 4061, 2887, 896, 602, 7121, 267, 543, 689, 1018, 594, 5531, 689, 519, 2376, 5749, 1405, 1256, 4847, 563, 2691, 519, 2407, 2012, 2619, 540, 513, 6843, 568, 9138, 267, 519, 6389, 2012, 568, 1767, 547, 581, 4628, 6709, 531, 1881, 32647, 269, 1548, 596, 1058, 1294, 568, 513, 11422, 602, 1281, 711, 4309, 1022, 3210, 689, 519, 7746, 269, 8307, 5022, 267, 2338, 543, 11251, 3834, 2380, 616, 7608, 267, 609, 9993, 593, 3834, 2380, 1813, 547, 519, 3044, 2213, 946, 540, 18772, 525, 899, 1535, 333, 734, 585, 2027, 5301, 563, 4913, 267, 952, 513, 5569, 3568, 1079, 2338, 267, 713, 2834, 4082, 13292, 519, 2063, 2185, 9704, 540, 519, 2034, 1297, 1152, 267, 607, 519, 1739, 1383, 2982, 269, 3502, 782, 4609, 14883, 547, 891, 5389, 267, 543, 621, 781, 7357, 896, 519, 1852, 540, 519, 1062, 23070, 693, 1142, 3135, 563, 296, 1131, 2161, 602, 713, 3409, 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, 8080, 547, 22911, 674, 1245, 7880, 9564, 267, 1141, 649, 786, 2263, 513, 1187, 543, 3860, 1259, 547, 16784, 1957, 883, 5863, 5546, 543, 6272, 256, 1411, 1522, 1589, 602, 1976, 9564, 568, 1175, 585, 2370, 3214, 267, 855, 3972, 721, 267, 621, 781, 513, 9735, 15908, 585, 1004, 540, 782, 6502, 267, 1519, 9358, 256, 3502, 1152, 568, 621, 513, 1390, 1259, 547, 2769, 707, 7499, 2427, 267, 855, 621, 666, 849, 948, 2087, 707, 1445, 267, 9639, 267, 543, 1966, 9010, 1983, 269, 9578, 267, 945, 3085, 1405, 2648, 1818, 3579, 8631, 609, 1957, 2496, 3086, 267, 596, 1522, 581, 11842, 267, 1018, 4010, 568, 6632, 16784, 1976, 9564, 286, 4270, 267, 2757, 1976, 9564, 2356, 3322, 24208, 3819, 1957, 883, 1114, 5546, 543, 3029, 1210, 1585, 2553, 269, 1809, 538, 6632, 16784, 1976, 9564, 267, 649, 1039, 1216, 547, 519, 3575, 256, 1635, 14927, 2287, 519, 1957, 1354, 24208, 267, 649, 666, 1711, 811, 17031, 267, 9380, 1116, 267, 543, 10853, 476, 274, 291, 3615, 269, 898, 781, 899, 4730, 609, 10036, 267, 855, 609, 1957, 2439, 3383, 1577, 781, 4685, 1318, 538, 543, 1376, 676, 1565, 875, 547, 5965, 938, 2027, 6632, 16784, 1976, 9564, 1957, 269, 1280, 713, 4480, 267, 649, 4363, 1210, 23198, 1957, 630, 19925, 476, 1911, 7714, 332, 264, 3379, 547, 2834, 1976, 9564, 1957, 630, 17141, 1472, 476, 2568, 268, 3583, 7714, 332, 1040, 901, 1826, 540, 1957, 6585, 922, 3337, 1732, 543, 2636, 585, 23704, 26642, 269, 2368, 2442, 5079, 585, 6632, 16784, 1976, 9564, 616, 5160, 23240, 267, 737, 2761, 1957, 267, 543, 1256, 840, 1790, 20557, 1216, 10233, 1957, 2439, 2414, 1205, 3323, 267, 1246, 891, 3268, 547, 5965, 707, 6632, 16784, 1976, 9564, 1957, 1384, 272, 269, 12338, 707, 6074, 1957, 883, 513, 4009, 3337, 952, 621, 3884, 1405, 2907, 269, 589, 1434, 2450, 585, 14987, 1131, 581, 476, 277, 343, 277, 6279, 563, 273, 269, 700, 4774, 10936, 519, 1957, 609, 1216, 2394, 621, 7959, 5594, 14927, 547, 5905, 910, 2147, 547, 513, 21389, 2426, 13050, 26703, 269, 2142, 6297, 711, 547, 936, 4777, 621, 282, 1932, 1454, 7509, 949, 2014, 519, 1957, 547, 15237, 563, 274, 269, 2913, 519, 1957, 1964, 585, 827, 476, 276, 3764, 269, 4438, 713, 942, 267, 519, 11103, 538, 519, 1957, 10110, 519, 1216, 267, 1818, 873, 726, 4192, 543, 4443, 547, 13861, 563, 275, 269, 28528, 5347, 856, 1022, 32060, 610, 2011, 18616, 1210, 707, 11263, 610, 513, 2571, 11453, 269, 2659, 1957, 568, 1631, 4712, 585, 6632, 16784, 1976, 9564, 9059, 2439, 9202, 909, 267, 649, 3513, 4001, 596, 875, 547, 4487, 1079, 1898, 6632, 16784, 1976, 9564, 2553, 281, 7823, 543, 14860, 26642, 269, 1452, 2241, 2943, 3532, 7575, 1106, 519, 5748, 585, 1034, 1976, 9564, 13144, 269, 1924, 10544, 707, 5423, 1957, 543, 1577, 781, 2253, 2439, 1262, 300, 20667, 674, 1245, 26279, 288, 7823, 16784, 8591, 10155, 547, 707, 2203, 676, 2870, 19589, 2059, 519, 25649, 6316, 269, 1677, 1685, 513, 7823, 16784, 267, 1246, 891, 3268, 1384, 272, 269, 20233, 707, 14927, 1957, 6366, 593, 707, 29683, 609, 519, 11954, 2427, 6849, 1524, 563, 273, 269, 10576, 799, 1899, 596, 1616, 547, 16784, 2059, 543, 9900, 12740, 519, 1283, 7944, 563, 274, 269, 20780, 519, 24850, 7944, 4724, 519, 5377, 6316, 1247, 5329, 519, 5011, 13988, 563, 275, 269, 11511, 848, 16119, 2059, 519, 25649, 6316, 267, 1287, 2046, 1524, 547, 2347, 519, 7823, 16784, 780, 1262, 11749, 2917, 674, 1245, 26279, 288, 14860, 16784, 5932, 23898, 2059, 519, 25649, 8728, 267, 4946, 3178, 543, 4334, 547, 707, 960, 269, 9524, 513, 14860, 16784, 676, 1739, 891, 5528, 1384, 272, 269, 9255, 707, 14927, 1957, 2681, 20933, 909, 593, 707, 960, 2627, 563, 273, 269, 7994, 519, 5551, 16784, 1899, 543, 16212, 519, 1957, 936, 267, 3850, 519, 19758, 728, 547, 3068, 20733, 563, 274, 269, 700, 3424, 519, 5697, 7944, 543, 3142, 621, 2509, 519, 6587, 5377, 6316, 563, 275, 269, 1325, 793, 1312, 5011, 5402, 543, 4019, 2604, 547, 1212, 848, 2059, 519, 25649, 6316, 269, 25065, 1084, 519, 3003, 4062, 547, 9096, 519, 14860, 16784, 780, 4415, 891, 2596, 2679, 7161, 896, 707, 12966, 267, 596, 2811, 1631, 4712, 547, 10994, 707, 1101, 6632, 16784, 1976, 9564, 1788, 256, 3683, 519, 1985, 1906, 3817, 267, 649, 786, 3802, 596, 998, 519, 1184, 540, 2870, 513, 4190, 2603, 639, 8768, 910, 3501, 585, 7718, 908, 707, 4055, 610, 4758, 607, 513, 10516, 547, 2828, 543, 1920, 269, 8414, 24208, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11771, 9564, 585, 30488, 281, 5153, 8386, 28157, 6651, 1107, 3371, 568, 513, 1900, 8386, 9912, 3391, 547, 1976, 9564, 585, 14987, 865, 596, 666, 1831, 513, 605, 693, 713, 1148, 1106, 607, 1134, 2336, 1103, 938, 5108, 950, 649, 723, 930, 3063, 942, 593, 938, 3946, 267, 649, 4043, 547, 6108, 621, 593, 938, 11436, 610, 28675, 2914, 10248, 930, 1007, 28923, 3126, 269, 1717, 267, 1256, 607, 4079, 267, 1082, 1004, 1869, 6560, 609, 15175, 12348, 543, 3843, 547, 1265, 1945, 11327, 1107, 855, 17528, 547, 798, 865, 269, 4107, 540, 519, 942, 267, 621, 568, 1317, 12348, 2097, 689, 4121, 1983, 267, 543, 711, 3025, 814, 519, 942, 547, 1451, 513, 1007, 5578, 1282, 741, 11112, 8430, 269, 4033, 2053, 267, 1004, 1152, 12314, 12348, 609, 3214, 543, 1265, 4652, 8816, 995, 1919, 547, 6146, 741, 942, 563, 1103, 971, 2665, 267, 972, 568, 1152, 835, 1434, 3364, 547, 798, 281, 4497, 3054, 538, 6575, 543, 13492, 269, 8551, 543, 13492, 616, 711, 1152, 513, 2635, 543, 2706, 11327, 15908, 585, 3214, 855, 849, 585, 4079, 269, 1656, 1851, 6575, 543, 13492, 2501, 513, 1360, 2653, 2943, 2189, 5578, 547, 1451, 267, 1572, 1976, 9564, 269, 1403, 596, 723, 2907, 4862, 827, 1976, 9564, 267, 596, 1590, 917, 621, 568, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 564, 674, 1245, 7880, 9564, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 7880, 9564, 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, 280, 281, 4197, 2657, 2598, 1706, 885, 543, 25947, 16195, 7457, 585, 2353, 692, 5331, 952, 1169, 942, 596, 3893, 7210, 267, 621, 729, 2182, 585, 596, 547, 1294, 513, 4387, 269, 9320, 972, 5749, 1405, 1022, 7189, 2282, 1141, 596, 2661, 267, 610, 5310, 707, 1920, 666, 1405, 6488, 547, 2628, 585, 2564, 11564, 269, 901, 3510, 4523, 811, 1419, 982, 596, 1522, 1589, 267, 2523, 1851, 1978, 2516, 540, 1004, 899, 930, 7111, 4892, 269, 1452, 3604, 538, 3782, 1569, 543, 2126, 616, 1572, 1072, 13103, 269, 2913, 781, 1451, 827, 875, 891, 13103, 2291, 543, 1018, 649, 666, 798, 547, 948, 4368, 873, 780, 5575, 267, 1577, 781, 2743, 3220, 269, 2806, 580, 841, 589, 12011, 788, 7637, 269, 4634, 1498, 1352, 4992, 899, 513, 2834, 4387, 267, 1200, 4282, 568, 3833, 2189, 256, 2701, 6594, 28571, 1755, 12949, 545, 4915, 799, 6212, 593, 2067, 14319, 543, 11455, 5574, 269, 3958, 267, 1352, 6585, 513, 15149, 538, 4571, 342, 604, 2044, 910, 4543, 5838, 9002, 6923, 269, 2201, 1283, 540, 602, 267, 1352, 568, 2324, 2509, 3478, 1200, 1912, 6185, 269, 538, 11930, 6481, 28668, 693, 14822, 3557, 2160, 269, 2334, 1797, 1352, 2090, 875, 4529, 1764, 1004, 781, 2833, 609, 3782, 269, 1924, 1946, 1281, 713, 2339, 286, 4270, 267, 1620, 1114, 16752, 2337, 721, 5431, 543, 2232, 1072, 13103, 1732, 780, 3086, 267, 4605, 513, 2462, 5858, 8204, 938, 3003, 3782, 1062, 269, 1703, 616, 1082, 2694, 547, 713, 5858, 267, 1142, 4730, 922, 1378, 1909, 269, 2368, 5107, 949, 3100, 6654, 267, 899, 10506, 543, 7189, 269, 1809, 1866, 616, 1175, 607, 1271, 855, 1447, 1634, 267, 971, 607, 2146, 1072, 4600, 267, 6142, 3549, 267, 14519, 267, 543, 1256, 3173, 269, 1879, 782, 891, 2694, 960, 1927, 12347, 267, 3025, 4991, 3160, 1569, 547, 1434, 3782, 2533, 269, 10251, 267, 1498, 267, 3006, 1808, 2950, 3068, 2591, 1813, 547, 741, 1686, 267, 2528, 267, 4087, 267, 610, 2883, 4567, 269, 1306, 513, 1267, 267, 789, 1810, 1405, 4309, 519, 1482, 1377, 540, 1416, 607, 1866, 780, 3080, 1383, 540, 713, 3390, 5540, 930, 7111, 1977, 5095, 2713, 538, 6552, 2127, 2484, 2476, 689, 2413, 19190, 543, 10506, 269, 6884, 267, 2757, 7067, 2853, 32692, 609, 5375, 4915, 4978, 267, 2870, 7496, 1063, 5065, 2550, 543, 1875, 28921, 3782, 7426, 269, 4746, 267, 6710, 2157, 538, 6805, 2950, 1291, 547, 7965, 3413, 1800, 1697, 1416, 610, 6527, 950, 2139, 269, 1635, 1565, 811, 827, 891, 2042, 267, 4648, 899, 3220, 269, 589, 12011, 788, 7637, 666, 1265, 2081, 547, 8115, 2686, 10616, 543, 1683, 2500, 3435, 780, 3383, 267, 1018, 666, 581, 2944, 547, 2569, 1072, 13103, 286, 3509, 5100, 1004, 616, 2907, 2324, 2182, 593, 1818, 1919, 1318, 269, 1358, 2097, 689, 1585, 4610, 971, 607, 2229, 267, 2069, 267, 3782, 267, 1876, 267, 543, 1514, 9443, 269, 8625, 267, 789, 1106, 6887, 6131, 547, 5355, 3782, 4507, 267, 15388, 1007, 4485, 267, 2866, 15520, 19579, 3782, 4648, 267, 543, 4180, 7850, 7616, 585, 896, 1440, 643, 850, 3022, 2950, 780, 4131, 781, 1491, 6667, 689, 891, 3646, 543, 2015, 1018, 649, 666, 798, 607, 2043, 547, 3895, 7862, 538, 3782, 269, 1284, 666, 1376, 676, 1373, 1930, 16490, 543, 16614, 2509, 824, 4529, 269, 23016, 547, 543, 3024, 532, 3309, 5380, 786, 1711, 6793, 7554, 1369, 938, 2486, 269, 5015, 267, 9870, 4656, 827, 1072, 13103, 1851, 2828, 543, 1920, 7512, 7391, 3056, 547, 1761, 3435, 269, 14936, 267, 5885, 3906, 8362, 5466, 891, 2152, 998, 24749, 610, 1810, 908, 2200, 2306, 513, 1713, 3017, 1932, 2439, 1103, 3932, 267, 1620, 1072, 13103, 3340, 6568, 543, 7279, 269, 5272, 1268, 19262, 3160, 3255, 547, 2226, 1434, 1072, 7488, 540, 5198, 267, 14940, 267, 4008, 3961, 267, 2085, 267, 4747, 1377, 267, 13664, 4087, 267, 610, 1022, 824, 3815, 269, 11554, 15217, 2509, 12581, 3782, 5849, 17321, 20304, 585, 782, 2818, 540, 938, 2518, 2146, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 25603, 519, 1546, 5586, 919, 454, 763, 12020, 12243, 9930, 3990, 30896, 689, 476, 1321, 30393, 5380, 281, 6800, 267, 2146, 1072, 267, 3028, 7426, 267, 7082, 15156, 267, 5499, 3631, 540, 1416, 267, 3084, 1072, 1949, 267, 1480, 2924, 15828, 1177, 267, 3318, 270, 2958, 17419, 12205, 267, 8569, 6963, 267, 1072, 3318, 7855, 267, 1072, 1949, 7245, 267, 543, 2298, 543, 3106, 6454, 267, 607, 1134, 607, 1883, 4891, 547, 1198, 6388, 281, 1519, 2508, 619, 267, 9777, 2209, 267, 543, 3173, 563, 18183, 3305, 539, 30896, 3769, 3401, 689, 519, 2101, 544, 24471, 1416, 3906, 282, 2146, 1072, 3401, 282, 5499, 2259, 3631, 689, 1472, 519, 2197, 282, 3173, 267, 9777, 2209, 267, 1857, 1072, 267, 6413, 7245, 607, 1134, 607, 6800, 543, 7855, 1107, 538, 2110, 3375, 15670, 543, 3028, 3755, 2066, 519, 968, 3369, 1961, 1062, 3034, 7804, 269, 2806, 580, 841, 589, 12011, 788, 7637, 814, 16362, 622, 540, 14844, 1755, 12949, 545, 6925, 267, 513, 25890, 540, 11068, 342, 604, 2044, 543, 568, 513, 25719, 11134, 538, 11930, 6481, 28668, 693, 14822, 3557, 2160, 269, 2701, 568, 513, 1567, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 7111, 1977, 5525, 1315, 2657, 2598, 1706, 885, 543, 16195, 7457, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18334, 621, 786, 1332, 1394, 952, 596, 10093, 1406, 7166, 621, 782, 563, 1692, 798, 789, 2268, 2634, 12970, 888, 1103, 2489, 267, 23235, 513, 2634, 10510, 2356, 5956, 609, 6419, 16982, 9196, 630, 28122, 1040, 4495, 18909, 2982, 602, 972, 568, 513, 10510, 538, 519, 2634, 267, 519, 1034, 1455, 1259, 547, 3313, 519, 1826, 540, 2634, 10510, 568, 547, 1413, 693, 519, 2164, 689, 513, 3732, 540, 5160, 1310, 513, 23707, 610, 6391, 563, 4692, 596, 1745, 2860, 3395, 888, 6624, 11871, 666, 581, 5433, 998, 519, 2960, 269, 1452, 11871, 2049, 6140, 538, 519, 6089, 267, 1449, 1834, 267, 9726, 9136, 630, 326, 4133, 1070, 543, 519, 2571, 8031, 540, 519, 1560, 269, 589, 26686, 610, 5394, 2287, 949, 581, 606, 2038, 610, 3735, 1129, 540, 2860, 543, 1058, 581, 4080, 547, 513, 4387, 267, 2523, 952, 596, 4076, 1175, 1336, 621, 610, 5469, 621, 814, 6738, 538, 2450, 563, 2710, 29406, 561, 7927, 1332, 888, 289, 7927, 602, 616, 29406, 616, 3335, 1804, 267, 2182, 267, 1928, 1652, 547, 519, 5905, 543, 2408, 31380, 269, 634, 2527, 786, 1332, 538, 2450, 20406, 936, 519, 4374, 543, 3275, 269, 9435, 748, 561, 7927, 602, 666, 581, 5433, 689, 519, 3544, 540, 707, 1560, 666, 2408, 538, 519, 6089, 267, 1449, 1834, 267, 610, 8405, 267, 855, 849, 538, 519, 7916, 543, 7953, 563, 1692, 798, 596, 2268, 2208, 540, 513, 10510, 888, 307, 32214, 12531, 941, 6027, 1979, 22173, 569, 543, 6059, 676, 1210, 519, 4542, 281, 570, 32214, 4320, 284, 3259, 1535, 8700, 273, 270, 273, 267, 1141, 3259, 4564, 519, 4102, 10510, 8006, 543, 8700, 4564, 519, 13902, 10510, 8006, 563, 4692, 596, 2995, 875, 1279, 513, 10510, 814, 1044, 3395, 888, 14722, 723, 1336, 602, 585, 1034, 6089, 543, 15108, 11871, 267, 519, 6084, 2293, 2253, 547, 1332, 1472, 4557, 1296, 1354, 789, 2461, 9571, 269, 1656, 585, 17150, 2860, 267, 6084, 2293, 666, 581, 1082, 5756, 2025, 269, 968, 5445, 4076, 6059, 602, 835, 6084, 712, 729, 476, 2412, 1296, 2025, 269, 6884, 519, 2208, 666, 581, 2731, 3500, 2223, 3081, 24023, 563, 1692, 798, 596, 5173, 30945, 942, 540, 513, 10510, 888, 19853, 960, 5189, 519, 10510, 30945, 942, 267, 667, 307, 815, 630, 15238, 476, 273, 8358, 337, 267, 547, 22945, 519, 2557, 540, 2208, 269, 634, 12825, 2208, 1876, 814, 1044, 1031, 547, 2203, 26679, 1547, 0, 9209, 13659, 568, 513, 2823, 332, 14397, 879, 2262, 9256, 1148, 543, 17933, 563, 9209, 13659, 3217, 5072, 267, 610, 8371, 267, 1055, 540, 513, 476, 1960, 278, 11018, 1063, 932, 4618, 334, 5159, 689, 5101, 11968, 13353, 543, 519, 2098, 777, 520, 626, 553, 538, 15616, 777, 553, 267, 6792, 269, 634, 1913, 834, 9209, 22999, 257, 543, 834, 9209, 13659, 257, 941, 2442, 1242, 998, 513, 3099, 540, 2621, 267, 3527, 543, 26620, 3842, 5159, 543, 12372, 971, 607, 2372, 28856, 531, 267, 23520, 25959, 2993, 267, 543, 16334, 16660, 637, 632, 8575, 714, 267, 1851, 824, 5101, 11968, 13353, 5159, 267, 543, 693, 5624, 971, 607, 8682, 6435, 29093, 1299, 3203, 563, 9209, 13659, 2919, 538, 2487, 1296, 607, 4550, 8705, 543, 4550, 25322, 2128, 1436, 17600, 7153, 543, 7139, 11717, 730, 269, 769, 1082, 2665, 1148, 643, 1235, 3801, 547, 7903, 2797, 989, 31789, 676, 519, 1797, 540, 1148, 267, 855, 513, 1445, 593, 9870, 1514, 267, 2825, 267, 543, 2930, 4656, 568, 849, 1455, 269, 14755, 1210, 2757, 23447, 899, 4670, 543, 2575, 547, 6318, 4656, 610, 7903, 585, 1689, 267, 606, 1148, 22999, 666, 849, 581, 3238, 538, 2528, 795, 2459, 532, 267, 1016, 3200, 2358, 267, 8265, 1148, 267, 9275, 2262, 267, 13889, 532, 267, 543, 17933, 563, 9209, 22999, 18832, 3416, 2401, 7150, 912, 1862, 901, 6612, 814, 782, 519, 5820, 540, 17933, 267, 855, 568, 9901, 609, 519, 3552, 13144, 540, 1148, 269, 3203, 13659, 1765, 3602, 8728, 616, 14593, 267, 9345, 568, 15685, 267, 543, 513, 1007, 1893, 19674, 15587, 1701, 23745, 10370, 976, 814, 2854, 281, 834, 1862, 1148, 13659, 3267, 8992, 519, 1898, 1620, 602, 3267, 1496, 21065, 753, 316, 3267, 666, 267, 998, 29752, 3860, 4082, 267, 1995, 519, 796, 4328, 1379, 540, 2648, 950, 10100, 10244, 525, 3294, 547, 519, 4305, 540, 1148, 1341, 1514, 5539, 563, 3528, 476, 1220, 279, 267, 519, 2165, 1185, 1500, 922, 1259, 883, 4081, 1603, 267, 609, 595, 3559, 320, 9995, 15772, 543, 2871, 529, 11253, 700, 1807, 516, 13629, 513, 4062, 593, 932, 4618, 334, 21669, 1148, 13659, 543, 631, 269, 918, 269, 1306, 14397, 1210, 519, 2165, 538, 4704, 547, 4563, 5159, 563, 763, 1148, 22999, 630, 691, 626, 1341, 19191, 264, 3096, 1200, 7499, 15421, 547, 4339, 543, 6560, 1996, 21440, 543, 15746, 1765, 2421, 1022, 5420, 2556, 269, 634, 1148, 22999, 12388, 525, 7029, 547, 5191, 543, 5126, 609, 519, 4050, 267, 519, 7828, 267, 519, 11453, 267, 519, 5639, 267, 519, 1560, 267, 543, 519, 9345, 269, 634, 1148, 22999, 6487, 602, 547, 1118, 606, 8343, 568, 547, 723, 606, 17185, 563, 268, 589, 328, 1284, 328, 933, 328, 454, 268, 717, 1014, 331, 1075, 320, 8779, 656, 7236, 454, 268, 21238, 334, 12379, 14024, 454, 268, 1325, 4141, 2349, 3147, 454, 268, 7788, 773, 14109, 30257, 454, 268, 1323, 558, 773, 5617, 548, 454, 268, 12253, 1488, 345, 7637, 630, 28049, 994, 268, 1546, 5674, 1695, 16679, 454, 268, 29527, 2098, 778, 732, 17771, 454, 268, 674, 822, 1014, 3534, 30954, 22222, 454, 268, 2871, 650, 1069, 334, 717, 6759, 1889, 345, 6261, 324, 29823, 454, 268, 11835, 601, 25661, 807, 1315, 2725, 345, 339, 2993, 18768, 3097, 268, 11835, 13697, 681, 2801, 454, 268, 14639, 3405, 773, 3244, 12121, 454, 268, 7225, 344, 645, 20403, 454, 268, 7325, 1470, 6428, 326, 5964, 454, 268, 20098, 595, 2378, 2678, 553, 454, 268, 700, 10042, 667, 12495, 454, 268, 23452, 5753, 540, 20770, 454, 268, 10370, 29953, 2052, 22528, 454, 268, 26795, 30781, 1446, 345, 454, 268, 15609, 18347, 454, 268, 11870, 13804, 1380, 517, 454, 268, 14529, 767, 476, 8146, 454, 268, 8834, 9478, 454, 268, 2372, 28856, 531, 630, 7171, 994, 268, 1234, 3164, 526, 25381, 543, 519, 5783, 540, 17547, 19255, 4771, 454, 268, 8682, 6435, 29093, 1299, 3203, 454, 268, 570, 16492, 645, 2607, 340, 5028, 454, 268, 4024, 853, 6181, 518, 454, 8624, 937, 1161, 543, 3906, 454, 268, 3203, 22999, 17912, 16635, 454, 268, 20707, 256, 7104, 454, 268, 623, 18553, 3150, 539, 7690, 454, 268, 634, 21824, 1652, 11814, 633, 454, 268, 634, 8786, 9093, 454, 268, 3752, 11814, 633, 454, 268, 15348, 267, 5295, 543, 32425, 267, 634, 1715, 3840, 8648, 267, 5412, 476, 273, 267, 476, 1001, 272, 269, 7490, 1294, 519, 11359, 10126, 676, 18832, 3416, 2401, 563, 268, 14639, 3405, 773, 3244, 12121, 4534, 3203, 22999, 538, 519, 7073, 23721, 630, 8512, 476, 272, 1070, 667, 2643, 534, 7935, 11276, 267, 634, 670, 4428, 15838, 5403, 267, 476, 1001, 272, 269, 1015, 269, 6734, 454, 268, 14639, 3405, 773, 3244, 12121, 4534, 3203, 22999, 538, 519, 7073, 23721, 630, 8512, 476, 273, 1070, 667, 2643, 534, 7935, 11276, 267, 634, 670, 4428, 15838, 5403, 267, 476, 1001, 272, 269, 1015, 269, 4962, 454, 268, 595, 3559, 320, 9995, 15772, 543, 2871, 529, 11253, 700, 1807, 516, 267, 834, 257, 2419, 545, 3570, 270, 334, 3203, 13659, 281, 7225, 344, 645, 20403, 781, 7913, 4518, 609, 15272, 540, 7822, 2437, 538, 4804, 17813, 543, 23532, 640, 267, 20037, 4964, 267, 476, 1220, 278, 563, 268, 631, 14389, 269, 1306, 14397, 267, 12789, 269, 898, 781, 8262, 3455, 20537, 31177, 14929, 267, 853, 269, 9410, 781, 4964, 267, 476, 1220, 280, 563, 268, 769, 12687, 540, 11686, 781, 667, 3722, 288, 3375, 267, 700, 6993, 9538, 338, 8682, 6953, 27626, 29093, 15829, 8648, 267, 5181, 476, 278, 267, 476, 1001, 278, 269, 1635, 10491, 21001, 24229, 454, 268, 8682, 6435, 29093, 1788, 16877, 1554, 31356, 998, 1148, 15829, 8648, 267, 4989, 476, 275, 267, 476, 1001, 278, 269, 1635, 10491, 21001, 24229, 454, 268, 589, 2622, 10022, 3690, 29233, 14465, 1676, 29100, 717, 1511, 519, 3690, 31142, 287, 29663, 513, 26554, 547, 14780, 1047, 4706, 20429, 24635, 966, 4084, 267, 5239, 476, 3066, 267, 476, 1001, 279, 269, 1635, 28270, 6352, 25453, 454, 268, 23333, 9331, 289, 4785, 2910, 300, 2464, 667, 32052, 281, 670, 8582, 589, 2048, 306, 312, 11586, 5357, 5508, 11083, 4629, 290, 14510, 685, 674, 2562, 3201, 14877, 645, 4488, 28719, 589, 631, 6865, 7728, 5508, 16777, 3201, 5058, 15829, 570, 3722, 302, 267, 5437, 476, 1015, 267, 476, 1001, 279, 269, 1635, 17722, 594, 6921, 21516, 454, 268, 4208, 700, 6993, 269, 1486, 22246, 3576, 1524, 513, 9947, 23803, 334, 5395, 571, 18533, 15829, 8648, 267, 4873, 476, 736, 267, 476, 1708, 271, 269, 1635, 10491, 21001, 24229, 454, 268, 6153, 25742, 267, 18560, 593, 7504, 281, 2991, 15224, 547, 653, 13530, 267, 1007, 1862, 15829, 8648, 267, 5147, 476, 2537, 267, 476, 1708, 271, 269, 1635, 10491, 21001, 24229, 0, 27154, 8426, 476, 1321, 5029, 21304, 454, 29209, 543, 1507, 1016, 22780, 3743, 585, 2504, 540, 5946, 563, 27154, 1591, 476, 1321, 31759, 269, 13689, 2390, 519, 4527, 610, 9000, 540, 9245, 1591, 31759, 666, 581, 9286, 883, 1614, 6688, 12077, 269, 9282, 713, 3662, 1591, 6516, 568, 711, 11347, 540, 1022, 835, 1880, 1826, 540, 1591, 621, 2488, 5813, 883, 519, 3119, 31759, 543, 519, 6946, 4835, 2497, 540, 1034, 3662, 2281, 269, 898, 521, 519, 5714, 602, 3568, 519, 31759, 269, 634, 476, 1321, 31759, 585, 606, 3662, 1591, 616, 563, 2304, 1418, 16279, 568, 513, 6263, 10408, 2497, 602, 15824, 1808, 3252, 1369, 513, 1591, 31759, 616, 11251, 1369, 519, 32594, 540, 32541, 543, 605, 28648, 5328, 2281, 538, 519, 811, 1950, 32541, 2281, 31759, 616, 1419, 20583, 676, 741, 1378, 9245, 26922, 547, 519, 1560, 521, 4835, 8219, 31759, 616, 7463, 543, 1685, 3407, 3252, 2556, 585, 3339, 10408, 5106, 269, 1717, 519, 3334, 7396, 2630, 616, 6093, 3334, 1336, 538, 1034, 3662, 2281, 269, 1703, 616, 476, 1321, 1292, 3334, 540, 606, 3662, 1591, 269, 589, 1507, 1418, 899, 2497, 1459, 3330, 519, 1591, 568, 1572, 513, 1591, 1418, 16279, 621, 814, 513, 1880, 7293, 17539, 543, 15824, 513, 1808, 1599, 563, 2467, 616, 1079, 2010, 540, 11430, 810, 10192, 269, 476, 1321, 31759, 609, 3252, 543, 2497, 269, 10515, 625, 4719, 1570, 543, 5849, 2953, 25718, 540, 4719, 1570, 5595, 7425, 534, 539, 269, 681, 965, 1439, 32194, 1427, 545, 4918, 476, 276, 563, 5472, 2030, 543, 3662, 2281, 799, 616, 24087, 1774, 7103, 2270, 513, 3020, 13540, 22112, 676, 513, 6046, 9245, 269, 1358, 616, 607, 5205, 269, 1452, 31759, 2270, 606, 5044, 540, 29230, 6776, 11476, 2838, 585, 519, 12159, 540, 1585, 5672, 668, 26163, 269, 476, 276, 11315, 1439, 32194, 1427, 545, 4918, 556, 337, 563, 10376, 1418, 16279, 814, 1808, 3252, 538, 519, 1272, 543, 1072, 540, 519, 1591, 543, 1591, 1072, 568, 1271, 585, 519, 1134, 1373, 540, 519, 3003, 11248, 269, 16301, 538, 713, 1305, 476, 1704, 13540, 269, 634, 2694, 540, 606, 3662, 1591, 666, 581, 1572, 607, 1591, 31759, 269, 2368, 1591, 31759, 899, 10775, 22199, 616, 711, 22112, 676, 1022, 9245, 563, 10712, 26743, 530, 522, 10775, 22199, 11315, 530, 269, 7233, 2281, 2270, 930, 31759, 711, 1336, 538, 3662, 2281, 971, 607, 1591, 6821, 543, 8392, 6955, 6814, 269, 1160, 28648, 4925, 971, 607, 269, 634, 1591, 9245, 568, 7768, 540, 513, 20188, 21536, 9707, 799, 3029, 563, 27650, 30897, 25593, 5627, 29230, 6776, 11476, 899, 9067, 1162, 26887, 1162, 2926, 1162, 543, 7576, 1162, 269, 10370, 810, 10192, 616, 9245, 3808, 31759, 602, 2049, 538, 519, 32594, 540, 3662, 2281, 269, 634, 1591, 9245, 568, 519, 9018, 6316, 540, 519, 1591, 543, 3029, 519, 10465, 1063, 519, 3330, 540, 519, 1591, 609, 782, 540, 922, 31759, 543, 519, 29414, 5119, 269, 5015, 621, 568, 2653, 547, 10646, 1063, 513, 2030, 543, 3662, 1591, 6516, 1175, 676, 8524, 532, 519, 4527, 610, 9000, 540, 513, 1591, 3774, 269, 0, 2691, 2542, 519, 1650, 2854, 676, 519, 29564, 717, 3234, 332, 13886, 267, 968, 28012, 16176, 268, 19669, 892, 835, 666, 3362, 1294, 519, 10486, 547, 519, 18557, 4528, 540, 519, 1650, 799, 13886, 968, 306, 852, 6519, 6100, 1488, 7666, 2406, 267, 621, 4667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 284, 14594, 7901, 539, 610, 654, 1938, 10547, 3898, 454, 8138, 338, 284, 17912, 568, 5705, 12822, 454, 10440, 284, 4746, 19612, 1306, 630, 531, 1181, 622, 10643, 994, 10292, 298, 8991, 267, 645, 3951, 6224, 2464, 6730, 645, 5723, 2464, 454, 7818, 272, 21601, 4911, 1564, 630, 8660, 264, 513, 6390, 281, 18774, 338, 4911, 1564, 910, 7638, 323, 2459, 339, 538, 10476, 8136, 9114, 23133, 2836, 327, 1735, 630, 289, 2784, 9652, 264, 543, 1010, 2367, 616, 5605, 19813, 538, 8304, 21601, 676, 513, 17174, 7952, 3366, 676, 513, 3043, 24271, 32418, 945, 789, 1294, 607, 513, 25976, 269, 28982, 7442, 5914, 2988, 572, 3767, 256, 2836, 327, 1735, 1965, 7870, 267, 855, 1010, 2367, 616, 9676, 543, 2808, 13358, 762, 269, 2836, 327, 1735, 16461, 1080, 930, 536, 1731, 619, 547, 11878, 883, 519, 8513, 543, 6146, 16764, 256, 7937, 267, 543, 547, 15063, 1010, 2367, 269, 589, 2362, 1560, 1293, 982, 1412, 8333, 18372, 262, 256, 9839, 342, 9879, 269, 634, 1292, 536, 32304, 3983, 23135, 689, 1412, 763, 10003, 2782, 1874, 262, 630, 309, 1716, 517, 28243, 264, 814, 513, 6926, 3737, 1025, 27475, 15273, 2280, 3297, 1010, 2212, 538, 513, 533, 3415, 2766, 269, 634, 4057, 812, 781, 3057, 23127, 15952, 334, 855, 945, 30128, 267, 713, 7260, 20205, 1018, 594, 4397, 621, 547, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 14954, 880, 29133, 27750, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 32090, 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, 6468, 781, 11572, 30880, 543, 16195, 7457, 538, 22798, 19791, 692, 7072, 912, 303, 11823, 2257, 568, 513, 2361, 602, 12969, 338, 609, 1082, 824, 10459, 267, 1519, 3782, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 875, 2797, 7589, 543, 1857, 3609, 1764, 6917, 2021, 781, 1569, 547, 3782, 2533, 269, 1284, 786, 4983, 519, 2081, 538, 799, 2021, 781, 2797, 6278, 814, 6766, 4507, 7133, 741, 1072, 543, 8171, 269, 3414, 513, 575, 25311, 7828, 267, 649, 786, 5659, 519, 7496, 602, 2061, 6917, 2021, 689, 17034, 2298, 3782, 543, 2015, 1761, 3435, 269, 1635, 3695, 891, 3584, 267, 649, 2832, 547, 15052, 938, 1620, 540, 519, 4296, 1063, 6214, 267, 3609, 267, 543, 3782, 13103, 780, 4089, 2290, 281, 4197, 6468, 781, 11572, 30880, 692, 272, 269, 10417, 783, 1944, 11572, 30880, 454, 303, 11823, 7589, 4016, 547, 3527, 3144, 676, 4961, 6322, 693, 12018, 2229, 3375, 6194, 3157, 269, 1452, 2238, 949, 1491, 1082, 3029, 267, 8151, 689, 13359, 547, 4881, 585, 5604, 547, 10283, 538, 14223, 11044, 269, 1280, 12790, 2516, 899, 6917, 2021, 267, 2810, 2797, 7589, 568, 1898, 585, 4180, 12581, 6041, 543, 13422, 1136, 563, 273, 269, 8466, 12745, 540, 6468, 781, 11572, 30880, 454, 8601, 3356, 2509, 4008, 7862, 267, 2021, 2611, 26173, 538, 6214, 11451, 269, 901, 3296, 12116, 519, 1686, 540, 2021, 781, 2797, 7589, 267, 10223, 1883, 19325, 543, 2591, 5185, 2059, 519, 1259, 269, 3245, 27049, 5322, 547, 4207, 3646, 547, 2333, 2021, 781, 5718, 5107, 267, 649, 786, 2015, 519, 2188, 6117, 1689, 563, 274, 269, 634, 11957, 540, 28249, 1275, 538, 22718, 6468, 781, 11572, 30880, 454, 11328, 7611, 1275, 17767, 602, 2043, 3068, 20718, 1949, 540, 15746, 1759, 593, 5198, 267, 1362, 267, 4008, 267, 14920, 267, 2702, 267, 543, 824, 3961, 12508, 269, 16792, 713, 5943, 547, 2021, 781, 2797, 7589, 2636, 721, 547, 1174, 875, 2789, 9163, 3337, 2833, 540, 7130, 543, 17979, 563, 275, 269, 7351, 12367, 543, 12694, 538, 6468, 781, 11572, 30880, 454, 1607, 3296, 7710, 1699, 3466, 543, 2591, 6849, 2021, 781, 2797, 7589, 269, 2060, 513, 1445, 593, 6917, 2127, 267, 649, 786, 8495, 1808, 9465, 7303, 2021, 689, 4628, 2502, 538, 6214, 267, 971, 607, 3908, 2200, 267, 1514, 8155, 267, 543, 3668, 540, 1569, 547, 1344, 5121, 780, 4089, 5565, 281, 13834, 543, 16195, 24727, 692, 272, 269, 4985, 547, 13834, 5811, 538, 16195, 24727, 454, 22860, 4506, 3782, 4507, 998, 513, 575, 25311, 7828, 8761, 2565, 4030, 883, 19635, 4093, 4810, 676, 2367, 543, 2021, 269, 901, 3296, 2488, 606, 7650, 540, 4008, 2079, 2409, 543, 10039, 873, 547, 3782, 4507, 563, 273, 269, 8865, 5530, 281, 3115, 8793, 16195, 24727, 454, 16966, 547, 10285, 3782, 3788, 513, 29653, 3390, 5001, 269, 4635, 513, 4008, 2079, 1935, 267, 713, 3296, 27180, 519, 1909, 540, 2797, 11051, 538, 5935, 10285, 3782, 4507, 543, 15109, 6286, 585, 6917, 2021, 781, 2729, 563, 274, 269, 10076, 2657, 7896, 543, 13834, 19047, 454, 26045, 4576, 5540, 6634, 540, 1004, 1169, 1032, 267, 2943, 2790, 1072, 2533, 1419, 3111, 547, 2743, 519, 2189, 2115, 540, 2021, 269, 24167, 2790, 1072, 4507, 998, 513, 575, 25311, 7828, 8711, 10616, 538, 3028, 11865, 543, 3255, 585, 6454, 563, 275, 269, 18601, 20222, 18830, 6468, 543, 21989, 607, 513, 2657, 17136, 454, 309, 2723, 775, 1996, 2021, 543, 6690, 630, 22849, 310, 294, 264, 13054, 1312, 513, 1480, 2924, 18670, 543, 513, 1713, 1857, 1072, 6161, 269, 901, 3296, 23607, 22622, 310, 294, 6604, 2994, 1369, 3782, 4507, 543, 27786, 741, 7145, 538, 5466, 4008, 2861, 5208, 780, 4089, 8422, 281, 6468, 781, 11572, 22580, 543, 22798, 2657, 2598, 1706, 885, 692, 272, 269, 31875, 547, 10866, 16195, 7457, 538, 22798, 18877, 454, 305, 1116, 2950, 1995, 3982, 3782, 13103, 3379, 547, 4683, 2127, 1813, 547, 13664, 10072, 267, 6710, 267, 543, 13385, 5989, 269, 17291, 891, 7496, 6087, 6098, 3609, 6114, 563, 273, 269, 10289, 13017, 1137, 9737, 6468, 781, 11572, 22580, 543, 26805, 22798, 2657, 2598, 1706, 885, 454, 10932, 9727, 2318, 12205, 1063, 2799, 2021, 781, 2797, 7589, 543, 4824, 3782, 4093, 269, 15766, 908, 891, 3095, 1137, 3091, 5813, 883, 1946, 2021, 781, 2797, 9525, 6927, 585, 4227, 6917, 1072, 13103, 563, 274, 269, 11150, 585, 23207, 6468, 781, 11572, 22580, 538, 22798, 23994, 454, 22546, 1947, 5466, 6917, 1072, 13103, 3340, 29103, 1359, 2021, 781, 2797, 6278, 269, 14301, 2390, 3811, 7341, 267, 713, 3296, 14592, 4052, 3268, 585, 7393, 2021, 781, 2797, 3310, 538, 6917, 8658, 563, 275, 269, 8892, 19648, 585, 3194, 543, 31197, 454, 763, 3803, 3296, 7512, 1053, 547, 1589, 9691, 827, 2104, 8846, 585, 1382, 543, 14223, 3823, 2021, 781, 2797, 7589, 543, 6917, 1072, 13103, 269, 4841, 616, 19430, 547, 2992, 593, 1018, 789, 723, 4121, 543, 2697, 18817, 585, 4797, 1565, 543, 2962, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 13670, 6468, 779, 7126, 3194, 5999, 543, 4828, 11762, 454, 6930, 493, 484, 1655, 3584, 1644, 547, 2021, 779, 2924, 267, 2340, 511, 494, 2241, 1299, 2653, 1557, 3584, 593, 2021, 779, 2152, 267, 9462, 497, 490, 1034, 4277, 1382, 3584, 593, 2021, 779, 2152, 267, 26461, 491, 1434, 2021, 779, 2924, 1382, 1957, 3584, 267, 2340, 507, 497, 1382, 2055, 827, 2021, 779, 2924, 563, 268, 9462, 496, 363, 5131, 6468, 779, 7126, 4828, 13445, 31098, 454, 18131, 779, 2924, 3594, 616, 606, 5140, 1259, 547, 1451, 827, 519, 3510, 540, 519, 4775, 4008, 2429, 519, 1158, 543, 6542, 707, 1702, 563, 2791, 666, 3382, 3140, 2021, 779, 2924, 1557, 3584, 267, 971, 607, 519, 4720, 540, 8004, 1126, 2069, 538, 1585, 2477, 543, 4525, 610, 519, 1114, 6329, 540, 519, 22158, 3350, 563, 21446, 8271, 267, 596, 666, 1353, 811, 1699, 3584, 267, 971, 607, 519, 4567, 540, 2021, 538, 5771, 610, 519, 7521, 827, 2436, 2021, 779, 2924, 4019, 547, 19574, 2021, 563, 1103, 2901, 2013, 267, 972, 568, 513, 21318, 540, 2093, 602, 596, 666, 2769, 543, 1865, 538, 707, 1957, 547, 1118, 621, 2502, 543, 2219, 4538, 269, 1717, 267, 596, 1058, 711, 10714, 519, 2596, 607, 701, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 5398, 8889, 1315, 2657, 5516, 1315, 22798, 2657, 2598, 1706, 885, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 1889, 321, 15633, 568, 606, 3968, 540, 519, 24026, 3361, 676, 519, 21313, 9980, 600, 4141, 9346, 1277, 8432, 339, 3821, 563, 22209, 600, 4141, 9346, 1277, 8432, 339, 3821, 666, 2661, 538, 519, 1804, 16892, 630, 3712, 517, 264, 1510, 4929, 2068, 269, 1717, 267, 3006, 267, 621, 1045, 3547, 519, 3935, 3774, 267, 4929, 897, 4345, 267, 8650, 7988, 550, 2044, 267, 610, 1279, 3856, 630, 577, 3055, 264, 13165, 269, 634, 3968, 666, 849, 3262, 998, 519, 1973, 547, 519, 6797, 543, 267, 10355, 267, 547, 519, 9641, 267, 2634, 267, 610, 824, 8219, 563, 1607, 2783, 4386, 5001, 267, 855, 621, 568, 1034, 1455, 538, 9341, 2127, 609, 22125, 2713, 2175, 543, 4057, 19455, 269, 4000, 267, 6792, 267, 2694, 540, 3162, 3013, 267, 543, 3127, 723, 1713, 1072, 2042, 2404, 609, 713, 2068, 563, 22209, 600, 4141, 9346, 1277, 8432, 339, 3821, 568, 3262, 998, 1426, 610, 1216, 13572, 609, 588, 8962, 269, 901, 12526, 568, 1455, 950, 1480, 3653, 568, 1031, 607, 13226, 269, 898, 666, 849, 581, 3262, 689, 1268, 547, 1268, 4534, 3226, 676, 3346, 609, 519, 5023, 610, 6439, 531, 1858, 540, 606, 7783, 1268, 563, 32391, 2188, 585, 4049, 993, 20623, 15633, 1331, 912, 1103, 519, 2136, 2276, 267, 993, 20623, 15633, 568, 1034, 1455, 1851, 1346, 945, 2661, 538, 5238, 543, 1004, 945, 723, 1387, 26697, 563, 7197, 1004, 609, 713, 3968, 798, 711, 723, 2589, 269, 1403, 2589, 2049, 267, 789, 616, 2938, 476, 278, 547, 476, 1015, 2395, 1310, 1373, 6534, 547, 519, 21313, 563, 2750, 8727, 540, 519, 17737, 949, 1397, 6797, 23822, 618, 610, 31926, 538, 519, 17737, 563, 21675, 5673, 593, 519, 10335, 540, 3968, 269, 15394, 267, 1558, 1258, 573, 31152, 568, 2016, 676, 5023, 585, 476, 1015, 2395, 563, 2252, 596, 616, 13481, 267, 596, 949, 991, 547, 4309, 6527, 998, 513, 18916, 630, 842, 571, 1597, 3585, 264, 2394, 596, 666, 20496, 873, 676, 5023, 269, 4165, 21355, 1551, 515, 531, 6527, 616, 2356, 711, 11311, 1317, 789, 666, 1118, 519, 2783, 8338, 563, 5475, 2126, 267, 519, 22454, 1058, 581, 973, 515, 22486, 547, 1118, 2386, 602, 519, 3968, 814, 1044, 23498, 563, 763, 6364, 568, 2356, 1434, 609, 2126, 269, 15394, 267, 519, 4576, 16569, 827, 476, 273, 4374, 267, 855, 621, 666, 2097, 1394, 952, 2126, 568, 711, 2016, 563, 24445, 707, 1072, 1416, 8502, 952, 596, 723, 10770, 13165, 563, 2691, 10707, 538, 9341, 2477, 1141, 4057, 19455, 6818, 267, 4235, 29881, 610, 23017, 1216, 543, 798, 711, 3548, 4608, 10541, 5388, 610, 796, 701, 601, 539, 4829, 269, 5398, 1072, 3800, 1331, 1216, 22729, 267, 1216, 8392, 1588, 267, 543, 21137, 2126, 3292, 563, 306, 29195, 3023, 3800, 267, 971, 607, 519, 946, 540, 7873, 1682, 543, 5959, 21394, 585, 5711, 610, 1387, 3346, 267, 949, 948, 2061, 3968, 563, 288, 1889, 321, 545, 7988, 550, 2044, 282, 2271, 13656, 993, 20623, 15633, 454, 19913, 13831, 18919, 267, 3794, 6471, 11404, 269, 589, 1889, 321, 15633, 269, 769, 281, 7108, 2006, 700, 267, 589, 639, 328, 10314, 667, 267, 32308, 269, 595, 1815, 559, 6925, 269, 476, 2537, 6113, 1196, 269, 15740, 267, 14529, 281, 590, 16184, 619, 29021, 282, 476, 1220, 278, 281, 577, 777, 476, 32699, 563, 18800, 539, 676, 281, 6424, 595, 269, 667, 1872, 23014, 267, 8633, 267, 11022, 267, 7905, 540, 6925, 267, 10406, 540, 4937, 6925, 267, 4972, 540, 6925, 267, 2160, 540, 6115, 3427, 540, 6925, 282, 808, 11294, 631, 269, 966, 344, 553, 267, 11022, 267, 12854, 267, 19608, 7905, 538, 6925, 267, 12370, 6481, 3427, 282, 19608, 538, 6925, 267, 10406, 540, 29956, 8376, 267, 4972, 540, 6925, 267, 12590, 4937, 11233, 269, 4746, 12649, 676, 6424, 2098, 10079, 267, 11022, 267, 631, 11190, 267, 6481, 10615, 267, 589, 6185, 6993, 8160, 1421, 5549, 563, 30860, 281, 634, 1344, 3177, 23954, 1058, 711, 581, 1031, 1282, 1022, 2564, 6595, 610, 585, 519, 5868, 610, 2126, 540, 1022, 2564, 2783, 269, 589, 13931, 10629, 1058, 581, 31570, 585, 5868, 543, 2126, 540, 1022, 543, 782, 2564, 2175, 269, 11910, 476, 26605, 585, 782, 2564, 18002, 269, 25103, 547, 824, 4609, 616, 3177, 585, 1344, 1152, 4534, 789, 798, 711, 13822, 23596, 906, 540, 1346, 824, 4609, 269, 14645, 476, 1960, 278, 268, 1001, 273, 267, 589, 6185, 6993, 8160, 1421, 5549, 269, 7102, 5918, 6473, 610, 3892, 540, 519, 1344, 8659, 23954, 568, 14553, 19275, 269, 0, 306, 20980, 15339, 689, 519, 18738, 4934, 454, 1607, 2376, 11225, 1018, 513, 10426, 633, 5600, 568, 607, 1134, 607, 875, 621, 3096, 27864, 267, 14910, 267, 543, 3859, 1379, 7561, 563, 16676, 6681, 31283, 23120, 454, 8512, 476, 273, 540, 519, 834, 1692, 547, 5901, 898, 570, 697, 281, 5794, 4149, 324, 2718, 9669, 585, 21252, 2334, 700, 6814, 257, 3126, 563, 28959, 27124, 1849, 582, 1127, 16959, 518, 13437, 454, 763, 2164, 540, 513, 1353, 8159, 2436, 16459, 4359, 10821, 4066, 6971, 5993, 1648, 4616, 563, 305, 2894, 11246, 2659, 4427, 2675, 3628, 454, 291, 2177, 31415, 700, 4953, 22400, 670, 26041, 13673, 2207, 294, 312, 454, 16966, 14167, 1543, 2228, 610, 538, 1820, 563, 288, 570, 4176, 5600, 609, 8262, 14313, 454, 8512, 476, 273, 540, 519, 834, 3963, 19577, 4024, 2142, 519, 1715, 16453, 257, 3126, 563, 14294, 5455, 585, 9751, 15789, 454, 3849, 9330, 707, 4876, 607, 513, 1753, 2773, 3318, 610, 1592, 707, 2866, 1982, 585, 1863, 563, 21328, 293, 3951, 5845, 569, 22918, 30826, 9453, 2598, 10293, 454, 3528, 589, 686, 681, 1952, 677, 454, 21328, 4398, 814, 1044, 513, 6117, 3196, 538, 519, 1753, 20671, 2872, 585, 5756, 269, 769, 2487, 1296, 267, 519, 2872, 814, 5051, 7550, 12773, 2409, 547, 4429, 9288, 25979, 13437, 540, 667, 10631, 539, 543, 6611, 4211, 537, 9482, 14333, 27124, 4826, 1261, 11596, 538, 513, 15346, 532, 5937, 558, 3990, 8693, 454, 3528, 18238, 9410, 543, 27239, 590, 9801, 1633, 454, 763, 8490, 3013, 26844, 585, 20865, 1763, 7808, 14716, 267, 3366, 676, 519, 8419, 9891, 6052, 4741, 267, 11567, 519, 1198, 540, 13811, 539, 2483, 3528, 19162, 674, 1120, 529, 543, 20908, 572, 674, 738, 517, 454, 314, 29394, 781, 8074, 281, 901, 568, 851, 476, 273, 540, 513, 3126, 602, 6257, 875, 623, 19781, 14104, 568, 30507, 519, 1753, 2773, 24931, 2872, 20426, 31410, 5414, 1261, 908, 267, 5794, 1299, 4429, 292, 878, 9410, 6941, 875, 267, 998, 1949, 5610, 267, 3002, 6802, 1216, 28909, 666, 581, 1031, 547, 2569, 2230, 8410, 1288, 532, 1648, 1247, 9494, 6266, 540, 1216, 13463, 908, 1648, 269, 4429, 3528, 25138, 2142, 2917, 454, 1607, 2250, 3018, 693, 670, 15425, 538, 27850, 6807, 2451, 803, 1208, 16940, 267, 29014, 267, 543, 4904, 547, 519, 1490, 574, 609, 14696, 269, 4429, 12441, 596, 917, 602, 519, 3328, 17643, 16569, 476, 278, 269, 279, 3764, 888, 8310, 3018, 594, 13984, 519, 5993, 5851, 13437, 29663, 630, 295, 15425, 264, 10985, 1299, 11780, 8058, 538, 27850, 6807, 267, 17906, 269, 630, 26589, 609, 476, 272, 267, 12010, 4429, 3528, 19395, 15917, 5886, 454, 23808, 6938, 292, 9307, 2221, 922, 476, 1001, 278, 7201, 12392, 5358, 16811, 6182, 1218, 1107, 799, 13315, 513, 4429, 30238, 570, 933, 1115, 689, 7711, 12709, 21328, 300, 698, 454, 32637, 4455, 476, 2767, 910, 476, 279, 281, 6078, 10975, 454, 6124, 2022, 689, 5851, 6052, 281, 1496, 20684, 316, 10426, 643, 27346, 476, 6200, 281, 12655, 15339, 689, 519, 18738, 4934, 4179, 2517, 339, 16691, 270, 311, 310, 25539, 280, 341, 18444, 280, 343, 454, 26607, 11888, 4455, 476, 2918, 910, 476, 279, 281, 3953, 10975, 454, 6124, 2022, 689, 5851, 6052, 281, 1496, 7922, 690, 316, 6468, 538, 8490, 13437, 4179, 2517, 339, 16691, 270, 5652, 321, 6246, 290, 313, 325, 327, 335, 454, 31388, 4455, 476, 2190, 910, 476, 279, 281, 3374, 10975, 454, 6124, 2022, 689, 5851, 6052, 281, 1496, 7922, 690, 316, 20088, 4889, 919, 4400, 7547, 1715, 19901, 3194, 693, 2776, 1606, 6011, 3194, 3718, 327, 1862, 4179, 2517, 339, 16691, 270, 345, 295, 1575, 275, 307, 335, 329, 342, 310, 454, 32637, 4455, 476, 736, 910, 476, 279, 281, 4097, 10975, 454, 6124, 2022, 689, 5851, 6052, 281, 1496, 20684, 316, 5794, 4149, 324, 2718, 9669, 585, 21252, 2334, 700, 6814, 12262, 3487, 476, 273, 281, 23120, 31283, 1230, 1862, 4179, 2517, 339, 16691, 270, 5226, 298, 293, 313, 308, 274, 331, 275, 341, 454, 31388, 4455, 476, 1704, 910, 476, 279, 281, 3451, 10975, 454, 6124, 2022, 689, 5851, 6052, 281, 1496, 7922, 690, 316, 6468, 538, 8490, 13437, 281, 16092, 22642, 4179, 2517, 339, 16691, 10768, 289, 320, 311, 332, 293, 279, 306, 298, 308, 454, 293, 27518, 4455, 476, 1691, 910, 476, 279, 281, 3953, 10975, 454, 6124, 2022, 689, 5851, 6052, 281, 1496, 7922, 690, 316, 28544, 5851, 14935, 20000, 12618, 538, 3816, 617, 9934, 607, 7085, 3317, 10118, 10670, 547, 28150, 14272, 1862, 4179, 2517, 339, 16691, 10768, 296, 274, 343, 291, 327, 336, 292, 297, 293, 0, 763, 4053, 525, 941, 711, 1152, 2206, 619, 585, 28736, 543, 824, 10971, 282, 789, 849, 16136, 1177, 2219, 538, 782, 922, 3029, 281, 1714, 13228, 775, 267, 30373, 267, 1702, 267, 1686, 267, 6128, 267, 17651, 563, 295, 525, 1675, 9299, 2478, 741, 2533, 547, 30768, 267, 19101, 602, 789, 13173, 15438, 543, 8300, 873, 609, 519, 10388, 1913, 2556, 547, 7017, 4661, 543, 556, 10140, 28344, 4708, 267, 543, 602, 789, 2285, 16313, 338, 519, 10516, 540, 8425, 30276, 799, 2306, 873, 2442, 563, 288, 22256, 630, 2288, 339, 540, 607, 513, 22700, 540, 519, 4053, 525, 264, 814, 1152, 547, 8661, 519, 23339, 540, 2367, 540, 1279, 3516, 610, 547, 2206, 540, 519, 10971, 267, 543, 4896, 6947, 945, 568, 14850, 564, 676, 13542, 610, 22408, 4900, 786, 7340, 873, 14678, 269, 634, 9510, 5152, 540, 519, 4053, 525, 568, 519, 835, 23475, 1310, 519, 11802, 540, 519, 10493, 2103, 936, 519, 25315, 753, 547, 8661, 519, 4332, 540, 513, 1007, 1931, 563, 763, 1739, 1592, 540, 4053, 525, 729, 7608, 676, 1346, 945, 5030, 1282, 519, 8106, 1974, 538, 5375, 1686, 912, 268, 11910, 328, 2100, 734, 763, 1101, 540, 519, 1660, 525, 538, 15683, 267, 568, 519, 544, 2224, 540, 24123, 610, 12473, 6965, 267, 543, 568, 1419, 13269, 8066, 513, 1603, 16979, 563, 268, 1849, 1470, 734, 763, 544, 2224, 540, 1686, 267, 6719, 609, 606, 1930, 20801, 540, 1957, 267, 513, 31444, 331, 530, 805, 327, 267, 543, 513, 25041, 564, 563, 268, 8210, 6737, 734, 763, 544, 2224, 540, 2648, 6965, 267, 689, 7247, 2501, 519, 2165, 834, 518, 5328, 1701, 2701, 568, 1419, 3254, 8066, 513, 11430, 516, 563, 268, 661, 17458, 701, 734, 300, 2224, 540, 2575, 610, 1166, 2373, 630, 21865, 4730, 1166, 2373, 1916, 268, 9253, 335, 1580, 324, 734, 11847, 637, 757, 13357, 269, 4107, 1419, 13269, 609, 513, 13249, 9633, 543, 519, 524, 1054, 1248, 639, 630, 320, 1164, 21489, 12816, 676, 13249, 11051, 547, 2333, 741, 7805, 588, 1155, 1916, 268, 2717, 2096, 11844, 734, 300, 2224, 540, 10723, 6965, 267, 30060, 5152, 610, 1016, 331, 830, 1728, 19282, 267, 610, 519, 17932, 1148, 563, 268, 6833, 1186, 747, 648, 734, 300, 2224, 540, 15472, 543, 669, 7394, 5152, 269, 2701, 568, 1419, 6719, 15472, 609, 519, 11430, 516, 563, 268, 774, 1446, 807, 734, 300, 2224, 540, 18792, 267, 1419, 3254, 609, 513, 13371, 9633, 563, 268, 28800, 807, 734, 763, 544, 2224, 540, 17651, 267, 2356, 17814, 609, 513, 5234, 15738, 547, 513, 18477, 8608, 563, 12218, 673, 5736, 16380, 543, 14564, 6956, 1686, 8335, 982, 798, 1004, 538, 519, 2413, 5736, 269, 24641, 13983, 1723, 7304, 30689, 2808, 1686, 811, 12777, 267, 607, 1945, 547, 581, 15422, 543, 607, 18944, 547, 267, 649, 4043, 547, 1589, 540, 1686, 607, 1945, 602, 6941, 1459, 6381, 543, 666, 581, 513, 3407, 3391, 547, 519, 2104, 269, 769, 602, 2631, 267, 538, 930, 2081, 519, 8821, 2401, 3344, 540, 519, 2250, 666, 543, 1058, 581, 900, 4327, 563, 13126, 281, 7147, 589, 1299, 631, 2160, 454, 18131, 781, 3778, 18225, 0, 347, 294, 1551, 731, 6019, 10588, 7040, 1475, 299, 4545, 2120, 1475, 298, 550, 13806, 476, 29024, 4510, 1475, 1556, 5195, 2008, 30054, 514, 11181, 6019, 10588, 7040, 1475, 1805, 534, 5112, 1475, 298, 550, 13806, 476, 29024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]